TSTP Solution File: HWV040_5 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV040_5 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n017.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 02:11:07 EDT 2022
% Result : Theorem 5.91s 4.11s
% Output : Proof 9.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HWV040_5 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 31 21:39:51 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 5.91/4.11 % SZS status Theorem
% 5.91/4.11 % SZS output start Proof
% 5.91/4.11 tff(v200_type, type, (
% 5.91/4.11 v200: state_type > $o)).
% 5.91/4.11 tff(constB35_type, type, (
% 5.91/4.11 constB35: state_type)).
% 5.91/4.11 tff(tptp_fun_VarCurr_0_type, type, (
% 5.91/4.11 tptp_fun_VarCurr_0: state_type)).
% 5.91/4.11 tff(constB114_type, type, (
% 5.91/4.11 constB114: state_type)).
% 5.91/4.11 tff(v82_type, type, (
% 5.91/4.11 v82: state_type > $o)).
% 5.91/4.11 tff(reachableState_type, type, (
% 5.91/4.11 reachableState: state_type > $o)).
% 5.91/4.11 tff(v205_type, type, (
% 5.91/4.11 v205: state_type > $o)).
% 5.91/4.11 tff(v201_type, type, (
% 5.91/4.11 v201: state_type > $o)).
% 5.91/4.11 tff(v202_type, type, (
% 5.91/4.11 v202: state_type > $o)).
% 5.91/4.11 tff(v157_type, type, (
% 5.91/4.11 v157: state_type > $o)).
% 5.91/4.11 tff(v203_type, type, (
% 5.91/4.11 v203: state_type > $o)).
% 5.91/4.11 tff(v183_type, type, (
% 5.91/4.11 v183: state_type > $o)).
% 5.91/4.11 tff(v204_type, type, (
% 5.91/4.11 v204: state_type > $o)).
% 5.91/4.11 tff(v185_type, type, (
% 5.91/4.11 v185: state_type > $o)).
% 5.91/4.11 tff(v9_type, type, (
% 5.91/4.11 v9: state_type > $o)).
% 5.91/4.11 tff(v39_type, type, (
% 5.91/4.11 v39: state_type > $o)).
% 5.91/4.11 tff(v1_type, type, (
% 5.91/4.11 v1: state_type > $o)).
% 5.91/4.11 tff(v159_type, type, (
% 5.91/4.11 v159: state_type > $o)).
% 5.91/4.11 tff(constB129_type, type, (
% 5.91/4.11 constB129: state_type)).
% 5.91/4.11 tff(v84_type, type, (
% 5.91/4.11 v84: state_type > $o)).
% 5.91/4.11 tff(v86_type, type, (
% 5.91/4.11 v86: state_type > $o)).
% 5.91/4.11 tff(v148_type, type, (
% 5.91/4.11 v148: state_type > $o)).
% 5.91/4.11 tff(v135_type, type, (
% 5.91/4.11 v135: state_type > $o)).
% 5.91/4.11 tff(v145_type, type, (
% 5.91/4.11 v145: state_type > $o)).
% 5.91/4.11 tff(v136_type, type, (
% 5.91/4.11 v136: state_type > $o)).
% 5.91/4.11 tff(v142_type, type, (
% 5.91/4.11 v142: state_type > $o)).
% 5.91/4.11 tff(v137_type, type, (
% 5.91/4.11 v137: state_type > $o)).
% 5.91/4.11 tff(v144_type, type, (
% 5.91/4.11 v144: state_type > $o)).
% 5.91/4.11 tff(v143_type, type, (
% 5.91/4.11 v143: state_type > $o)).
% 5.91/4.11 tff(v88_type, type, (
% 5.91/4.11 v88: ( state_type * $int ) > $o)).
% 5.91/4.11 tff(v90_type, type, (
% 5.91/4.11 v90: ( state_type * $int ) > $o)).
% 5.91/4.11 tff(constB128_type, type, (
% 5.91/4.11 constB128: state_type)).
% 5.91/4.11 tff(v100_type, type, (
% 5.91/4.11 v100: state_type > $o)).
% 5.91/4.11 tff(v110_type, type, (
% 5.91/4.11 v110: state_type > $o)).
% 5.91/4.11 tff(v101_type, type, (
% 5.91/4.11 v101: state_type > $o)).
% 5.91/4.11 tff(nextState_type, type, (
% 5.91/4.11 nextState: ( state_type * state_type ) > $o)).
% 5.91/4.11 tff(v102_type, type, (
% 5.91/4.11 v102: state_type > $o)).
% 5.91/4.11 tff(v129_type, type, (
% 5.91/4.11 v129: ( state_type * $int ) > $o)).
% 5.91/4.11 tff(v127_type, type, (
% 5.91/4.11 v127: ( state_type * $int ) > $o)).
% 5.91/4.11 tff(constB127_type, type, (
% 5.91/4.11 constB127: state_type)).
% 5.91/4.11 tff(v130_type, type, (
% 5.91/4.11 v130: ( state_type * $int ) > $o)).
% 5.91/4.11 tff(v111_type, type, (
% 5.91/4.11 v111: state_type > $o)).
% 5.91/4.11 tff(v26_type, type, (
% 5.91/4.11 v26: state_type > $o)).
% 5.91/4.11 tff(v120_type, type, (
% 5.91/4.11 v120: state_type > $o)).
% 5.91/4.11 tff(constB126_type, type, (
% 5.91/4.11 constB126: state_type)).
% 5.91/4.11 tff(constB125_type, type, (
% 5.91/4.11 constB125: state_type)).
% 5.91/4.11 tff(v119_type, type, (
% 5.91/4.11 v119: state_type > $o)).
% 5.91/4.11 tff(constB124_type, type, (
% 5.91/4.11 constB124: state_type)).
% 5.91/4.11 tff(constB123_type, type, (
% 5.91/4.11 constB123: state_type)).
% 5.91/4.11 tff(v123_type, type, (
% 5.91/4.11 v123: state_type > $o)).
% 5.91/4.11 tff(constB122_type, type, (
% 5.91/4.11 constB122: state_type)).
% 5.91/4.11 tff(constB121_type, type, (
% 5.91/4.11 constB121: state_type)).
% 5.91/4.11 tff(v122_type, type, (
% 5.91/4.11 v122: state_type > $o)).
% 5.91/4.11 tff(constB120_type, type, (
% 5.91/4.11 constB120: state_type)).
% 5.91/4.11 tff(constB119_type, type, (
% 5.91/4.11 constB119: state_type)).
% 5.91/4.11 tff(v121_type, type, (
% 5.91/4.11 v121: state_type > $o)).
% 5.91/4.11 tff(constB118_type, type, (
% 5.91/4.11 constB118: state_type)).
% 5.91/4.11 tff(constB117_type, type, (
% 5.91/4.11 constB117: state_type)).
% 5.91/4.11 tff(constB116_type, type, (
% 5.91/4.11 constB116: state_type)).
% 5.91/4.11 tff(constB115_type, type, (
% 5.91/4.11 constB115: state_type)).
% 5.91/4.11 tff(constB113_type, type, (
% 5.91/4.11 constB113: state_type)).
% 5.91/4.11 tff(constB112_type, type, (
% 5.91/4.11 constB112: state_type)).
% 5.91/4.11 tff(constB111_type, type, (
% 5.91/4.11 constB111: state_type)).
% 5.91/4.11 tff(constB110_type, type, (
% 5.91/4.11 constB110: state_type)).
% 5.91/4.11 tff(constB109_type, type, (
% 5.91/4.11 constB109: state_type)).
% 5.91/4.11 tff(constB108_type, type, (
% 5.91/4.11 constB108: state_type)).
% 5.91/4.11 tff(constB107_type, type, (
% 5.91/4.11 constB107: state_type)).
% 5.91/4.11 tff(constB106_type, type, (
% 5.91/4.11 constB106: state_type)).
% 5.91/4.11 tff(constB105_type, type, (
% 5.91/4.11 constB105: state_type)).
% 5.91/4.11 tff(constB104_type, type, (
% 5.91/4.11 constB104: state_type)).
% 5.91/4.11 tff(constB103_type, type, (
% 5.91/4.11 constB103: state_type)).
% 5.91/4.11 tff(constB102_type, type, (
% 5.91/4.11 constB102: state_type)).
% 5.91/4.11 tff(constB101_type, type, (
% 5.91/4.11 constB101: state_type)).
% 5.91/4.11 tff(constB100_type, type, (
% 5.91/4.11 constB100: state_type)).
% 5.91/4.11 tff(constB99_type, type, (
% 5.91/4.11 constB99: state_type)).
% 5.91/4.11 tff(constB98_type, type, (
% 5.91/4.11 constB98: state_type)).
% 5.91/4.11 tff(constB97_type, type, (
% 5.91/4.11 constB97: state_type)).
% 5.91/4.11 tff(constB96_type, type, (
% 5.91/4.11 constB96: state_type)).
% 5.91/4.11 tff(constB95_type, type, (
% 5.91/4.11 constB95: state_type)).
% 5.91/4.11 tff(constB94_type, type, (
% 5.91/4.11 constB94: state_type)).
% 5.91/4.11 tff(constB93_type, type, (
% 5.91/4.11 constB93: state_type)).
% 5.91/4.11 tff(constB92_type, type, (
% 5.91/4.11 constB92: state_type)).
% 5.91/4.11 tff(constB91_type, type, (
% 5.91/4.11 constB91: state_type)).
% 5.91/4.11 tff(constB90_type, type, (
% 5.91/4.11 constB90: state_type)).
% 5.91/4.11 tff(constB89_type, type, (
% 5.91/4.11 constB89: state_type)).
% 5.91/4.11 tff(constB88_type, type, (
% 5.91/4.11 constB88: state_type)).
% 5.91/4.11 tff(constB87_type, type, (
% 5.91/4.11 constB87: state_type)).
% 5.91/4.11 tff(constB86_type, type, (
% 5.91/4.11 constB86: state_type)).
% 5.91/4.11 tff(constB85_type, type, (
% 5.91/4.11 constB85: state_type)).
% 5.91/4.11 tff(constB84_type, type, (
% 5.91/4.11 constB84: state_type)).
% 5.91/4.11 tff(constB83_type, type, (
% 5.91/4.11 constB83: state_type)).
% 5.91/4.11 tff(constB82_type, type, (
% 5.91/4.11 constB82: state_type)).
% 5.91/4.11 tff(constB81_type, type, (
% 5.91/4.11 constB81: state_type)).
% 5.91/4.11 tff(constB80_type, type, (
% 5.91/4.11 constB80: state_type)).
% 5.91/4.11 tff(constB79_type, type, (
% 5.91/4.11 constB79: state_type)).
% 5.91/4.11 tff(constB78_type, type, (
% 5.91/4.11 constB78: state_type)).
% 5.91/4.11 tff(constB77_type, type, (
% 5.91/4.11 constB77: state_type)).
% 5.91/4.11 tff(constB76_type, type, (
% 5.91/4.11 constB76: state_type)).
% 5.91/4.11 tff(constB75_type, type, (
% 5.91/4.11 constB75: state_type)).
% 5.91/4.11 tff(constB74_type, type, (
% 5.91/4.11 constB74: state_type)).
% 5.91/4.11 tff(constB73_type, type, (
% 5.91/4.11 constB73: state_type)).
% 5.91/4.11 tff(constB72_type, type, (
% 5.91/4.11 constB72: state_type)).
% 5.91/4.11 tff(constB71_type, type, (
% 5.91/4.11 constB71: state_type)).
% 5.91/4.11 tff(constB70_type, type, (
% 5.91/4.11 constB70: state_type)).
% 5.91/4.11 tff(constB69_type, type, (
% 5.91/4.11 constB69: state_type)).
% 5.91/4.11 tff(constB68_type, type, (
% 5.91/4.11 constB68: state_type)).
% 5.91/4.11 tff(constB67_type, type, (
% 5.91/4.11 constB67: state_type)).
% 5.91/4.11 tff(constB66_type, type, (
% 5.91/4.11 constB66: state_type)).
% 5.91/4.11 tff(constB65_type, type, (
% 5.91/4.11 constB65: state_type)).
% 5.91/4.11 tff(constB64_type, type, (
% 5.91/4.11 constB64: state_type)).
% 5.91/4.11 tff(constB63_type, type, (
% 5.91/4.11 constB63: state_type)).
% 5.91/4.11 tff(constB62_type, type, (
% 5.91/4.11 constB62: state_type)).
% 5.91/4.11 tff(constB61_type, type, (
% 5.91/4.11 constB61: state_type)).
% 5.91/4.11 tff(constB60_type, type, (
% 5.91/4.11 constB60: state_type)).
% 5.91/4.11 tff(constB59_type, type, (
% 5.91/4.11 constB59: state_type)).
% 5.91/4.11 tff(constB58_type, type, (
% 5.91/4.11 constB58: state_type)).
% 5.91/4.11 tff(constB57_type, type, (
% 5.91/4.11 constB57: state_type)).
% 5.91/4.11 tff(constB56_type, type, (
% 5.91/4.11 constB56: state_type)).
% 5.91/4.11 tff(constB55_type, type, (
% 5.91/4.11 constB55: state_type)).
% 5.91/4.11 tff(constB54_type, type, (
% 5.91/4.11 constB54: state_type)).
% 5.91/4.11 tff(constB53_type, type, (
% 5.91/4.11 constB53: state_type)).
% 5.91/4.11 tff(constB52_type, type, (
% 5.91/4.11 constB52: state_type)).
% 5.91/4.11 tff(constB51_type, type, (
% 5.91/4.11 constB51: state_type)).
% 5.91/4.11 tff(constB50_type, type, (
% 5.91/4.11 constB50: state_type)).
% 5.91/4.11 tff(constB49_type, type, (
% 5.91/4.11 constB49: state_type)).
% 5.91/4.11 tff(constB48_type, type, (
% 5.91/4.11 constB48: state_type)).
% 5.91/4.11 tff(constB47_type, type, (
% 5.91/4.11 constB47: state_type)).
% 5.91/4.11 tff(constB46_type, type, (
% 5.91/4.11 constB46: state_type)).
% 5.91/4.11 tff(constB45_type, type, (
% 5.91/4.11 constB45: state_type)).
% 5.91/4.11 tff(constB44_type, type, (
% 5.91/4.11 constB44: state_type)).
% 5.91/4.11 tff(constB43_type, type, (
% 5.91/4.11 constB43: state_type)).
% 5.91/4.11 tff(constB42_type, type, (
% 5.91/4.11 constB42: state_type)).
% 5.91/4.11 tff(constB41_type, type, (
% 5.91/4.11 constB41: state_type)).
% 5.91/4.11 tff(constB40_type, type, (
% 5.91/4.11 constB40: state_type)).
% 5.91/4.11 tff(constB39_type, type, (
% 5.91/4.11 constB39: state_type)).
% 5.91/4.11 tff(constB38_type, type, (
% 5.91/4.11 constB38: state_type)).
% 5.91/4.11 tff(constB37_type, type, (
% 5.91/4.11 constB37: state_type)).
% 5.91/4.11 tff(constB36_type, type, (
% 5.91/4.11 constB36: state_type)).
% 5.91/4.11 tff(constB34_type, type, (
% 5.91/4.11 constB34: state_type)).
% 5.91/4.11 tff(constB33_type, type, (
% 5.91/4.11 constB33: state_type)).
% 5.91/4.11 tff(constB32_type, type, (
% 5.91/4.11 constB32: state_type)).
% 5.91/4.11 tff(constB31_type, type, (
% 5.91/4.11 constB31: state_type)).
% 5.91/4.11 tff(constB30_type, type, (
% 5.91/4.11 constB30: state_type)).
% 5.91/4.11 tff(constB29_type, type, (
% 5.91/4.11 constB29: state_type)).
% 5.91/4.11 tff(constB28_type, type, (
% 5.91/4.11 constB28: state_type)).
% 5.91/4.11 tff(constB27_type, type, (
% 5.91/4.11 constB27: state_type)).
% 5.91/4.11 tff(constB26_type, type, (
% 5.91/4.11 constB26: state_type)).
% 5.91/4.11 tff(constB25_type, type, (
% 5.91/4.11 constB25: state_type)).
% 5.91/4.11 tff(constB24_type, type, (
% 5.91/4.11 constB24: state_type)).
% 5.91/4.11 tff(constB23_type, type, (
% 5.91/4.11 constB23: state_type)).
% 5.91/4.11 tff(constB22_type, type, (
% 5.91/4.11 constB22: state_type)).
% 5.91/4.11 tff(constB21_type, type, (
% 5.91/4.11 constB21: state_type)).
% 5.91/4.11 tff(constB20_type, type, (
% 5.91/4.11 constB20: state_type)).
% 5.91/4.11 tff(constB19_type, type, (
% 5.91/4.11 constB19: state_type)).
% 5.91/4.11 tff(constB18_type, type, (
% 5.91/4.11 constB18: state_type)).
% 5.91/4.11 tff(constB17_type, type, (
% 5.91/4.11 constB17: state_type)).
% 5.91/4.11 tff(constB16_type, type, (
% 5.91/4.11 constB16: state_type)).
% 5.91/4.11 tff(constB15_type, type, (
% 5.91/4.11 constB15: state_type)).
% 5.91/4.11 tff(constB14_type, type, (
% 5.91/4.11 constB14: state_type)).
% 5.91/4.11 tff(constB13_type, type, (
% 5.91/4.11 constB13: state_type)).
% 5.91/4.11 tff(constB12_type, type, (
% 5.91/4.11 constB12: state_type)).
% 5.91/4.11 tff(constB11_type, type, (
% 5.91/4.11 constB11: state_type)).
% 5.91/4.11 tff(constB10_type, type, (
% 5.91/4.11 constB10: state_type)).
% 5.91/4.11 tff(constB9_type, type, (
% 5.91/4.11 constB9: state_type)).
% 5.91/4.11 tff(constB8_type, type, (
% 5.91/4.11 constB8: state_type)).
% 5.91/4.11 tff(constB7_type, type, (
% 5.91/4.11 constB7: state_type)).
% 5.91/4.11 tff(constB6_type, type, (
% 5.91/4.11 constB6: state_type)).
% 5.91/4.11 tff(constB5_type, type, (
% 5.91/4.11 constB5: state_type)).
% 5.91/4.11 tff(constB4_type, type, (
% 5.91/4.11 constB4: state_type)).
% 5.91/4.11 tff(constB3_type, type, (
% 5.91/4.11 constB3: state_type)).
% 5.91/4.11 tff(constB2_type, type, (
% 5.91/4.11 constB2: state_type)).
% 5.91/4.11 tff(constB1_type, type, (
% 5.91/4.11 constB1: state_type)).
% 5.91/4.11 tff(constB0_type, type, (
% 5.91/4.11 constB0: state_type)).
% 5.91/4.11 tff(v104_type, type, (
% 5.91/4.11 v104: state_type > $o)).
% 5.91/4.11 tff(v108_type, type, (
% 5.91/4.11 v108: state_type > $o)).
% 5.91/4.11 tff(v112_type, type, (
% 5.91/4.11 v112: state_type > $o)).
% 5.91/4.11 tff(v126_type, type, (
% 5.91/4.11 v126: state_type > $o)).
% 5.91/4.11 tff(v113_type, type, (
% 5.91/4.11 v113: state_type > $o)).
% 5.91/4.11 tff(v125_type, type, (
% 5.91/4.11 v125: state_type > $o)).
% 5.91/4.11 tff(v114_type, type, (
% 5.91/4.11 v114: state_type > $o)).
% 5.91/4.11 tff(v124_type, type, (
% 5.91/4.11 v124: state_type > $o)).
% 5.91/4.11 tff(v115_type, type, (
% 5.91/4.11 v115: state_type > $o)).
% 5.91/4.11 tff(v116_type, type, (
% 5.91/4.11 v116: state_type > $o)).
% 5.91/4.11 tff(v117_type, type, (
% 5.91/4.11 v117: state_type > $o)).
% 5.91/4.11 tff(v118_type, type, (
% 5.91/4.11 v118: state_type > $o)).
% 5.91/4.11 tff(v182_type, type, (
% 5.91/4.11 v182: state_type > $o)).
% 5.91/4.11 tff(v180_type, type, (
% 5.91/4.11 v180: state_type > $o)).
% 5.91/4.11 tff(v184_type, type, (
% 5.91/4.11 v184: state_type > $o)).
% 5.91/4.11 tff(v161_type, type, (
% 5.91/4.11 v161: state_type > $o)).
% 5.91/4.11 tff(v192_type, type, (
% 5.91/4.11 v192: state_type > $o)).
% 5.91/4.11 tff(v190_type, type, (
% 5.91/4.11 v190: state_type > $o)).
% 5.91/4.11 tff(v196_type, type, (
% 5.91/4.11 v196: state_type > $o)).
% 5.91/4.11 tff(v193_type, type, (
% 5.91/4.11 v193: state_type > $o)).
% 5.91/4.11 tff(v194_type, type, (
% 5.91/4.11 v194: state_type > $o)).
% 5.91/4.11 tff(v195_type, type, (
% 5.91/4.11 v195: state_type > $o)).
% 5.91/4.11 tff(v13_type, type, (
% 5.91/4.11 v13: state_type > $o)).
% 5.91/4.11 tff(v6_type, type, (
% 5.91/4.11 v6: state_type > $o)).
% 5.91/4.11 tff(v21_type, type, (
% 5.91/4.11 v21: state_type > $o)).
% 5.91/4.11 tff(v20_type, type, (
% 5.91/4.11 v20: state_type > $o)).
% 5.91/4.11 tff(v19_type, type, (
% 5.91/4.11 v19: state_type > $o)).
% 5.91/4.11 tff(v22_type, type, (
% 5.91/4.11 v22: state_type > $o)).
% 5.91/4.11 tff(v18_type, type, (
% 5.91/4.11 v18: state_type > $o)).
% 5.91/4.11 tff(v4_type, type, (
% 5.91/4.11 v4: state_type > $o)).
% 5.91/4.11 tff(v163_type, type, (
% 5.91/4.11 v163: state_type > $o)).
% 5.91/4.11 tff(v170_type, type, (
% 5.91/4.11 v170: state_type > $o)).
% 5.91/4.11 tff(v166_type, type, (
% 5.91/4.11 v166: state_type > $o)).
% 5.91/4.11 tff(v167_type, type, (
% 5.91/4.11 v167: state_type > $o)).
% 5.91/4.11 tff(v168_type, type, (
% 5.91/4.11 v168: state_type > $o)).
% 5.91/4.11 tff(v139_type, type, (
% 5.91/4.11 v139: state_type > $o)).
% 5.91/4.11 tff(v140_type, type, (
% 5.91/4.11 v140: state_type > $o)).
% 5.91/4.11 tff(constB174_type, type, (
% 5.91/4.11 constB174: state_type)).
% 5.91/4.11 tff(constB191_type, type, (
% 5.91/4.11 constB191: state_type)).
% 5.91/4.11 tff(constB190_type, type, (
% 5.91/4.11 constB190: state_type)).
% 5.91/4.11 tff(constB189_type, type, (
% 5.91/4.11 constB189: state_type)).
% 5.91/4.11 tff(constB188_type, type, (
% 5.91/4.11 constB188: state_type)).
% 5.91/4.11 tff(constB187_type, type, (
% 5.91/4.11 constB187: state_type)).
% 5.91/4.11 tff(constB186_type, type, (
% 5.91/4.11 constB186: state_type)).
% 5.91/4.11 tff(constB185_type, type, (
% 5.91/4.11 constB185: state_type)).
% 5.91/4.11 tff(constB184_type, type, (
% 5.91/4.11 constB184: state_type)).
% 5.91/4.11 tff(constB183_type, type, (
% 5.91/4.11 constB183: state_type)).
% 5.91/4.11 tff(constB182_type, type, (
% 5.91/4.11 constB182: state_type)).
% 5.91/4.11 tff(constB181_type, type, (
% 5.91/4.11 constB181: state_type)).
% 5.91/4.11 tff(constB180_type, type, (
% 5.91/4.11 constB180: state_type)).
% 5.91/4.11 tff(constB179_type, type, (
% 5.91/4.11 constB179: state_type)).
% 5.91/4.11 tff(constB178_type, type, (
% 5.91/4.11 constB178: state_type)).
% 5.91/4.11 tff(constB177_type, type, (
% 5.91/4.11 constB177: state_type)).
% 5.91/4.11 tff(constB176_type, type, (
% 5.91/4.11 constB176: state_type)).
% 5.91/4.11 tff(constB175_type, type, (
% 5.91/4.11 constB175: state_type)).
% 5.91/4.11 tff(constB173_type, type, (
% 5.91/4.11 constB173: state_type)).
% 5.91/4.11 tff(constB172_type, type, (
% 5.91/4.11 constB172: state_type)).
% 5.91/4.11 tff(constB171_type, type, (
% 5.91/4.11 constB171: state_type)).
% 5.91/4.11 tff(constB170_type, type, (
% 5.91/4.11 constB170: state_type)).
% 5.91/4.11 tff(constB169_type, type, (
% 5.91/4.11 constB169: state_type)).
% 5.91/4.11 tff(constB168_type, type, (
% 5.91/4.11 constB168: state_type)).
% 5.91/4.11 tff(constB167_type, type, (
% 5.91/4.11 constB167: state_type)).
% 5.91/4.11 tff(constB166_type, type, (
% 5.91/4.11 constB166: state_type)).
% 5.91/4.11 tff(constB165_type, type, (
% 5.91/4.11 constB165: state_type)).
% 5.91/4.11 tff(constB164_type, type, (
% 5.91/4.11 constB164: state_type)).
% 5.91/4.11 tff(constB163_type, type, (
% 5.91/4.11 constB163: state_type)).
% 5.91/4.11 tff(constB162_type, type, (
% 5.91/4.11 constB162: state_type)).
% 5.91/4.11 tff(constB161_type, type, (
% 5.91/4.11 constB161: state_type)).
% 5.91/4.11 tff(constB160_type, type, (
% 5.91/4.11 constB160: state_type)).
% 5.91/4.11 tff(constB159_type, type, (
% 5.91/4.11 constB159: state_type)).
% 5.91/4.11 tff(constB158_type, type, (
% 5.91/4.11 constB158: state_type)).
% 5.91/4.11 tff(constB157_type, type, (
% 5.91/4.11 constB157: state_type)).
% 5.91/4.11 tff(constB156_type, type, (
% 5.91/4.11 constB156: state_type)).
% 5.91/4.11 tff(constB155_type, type, (
% 5.91/4.11 constB155: state_type)).
% 5.91/4.11 tff(constB154_type, type, (
% 5.91/4.11 constB154: state_type)).
% 5.91/4.11 tff(constB153_type, type, (
% 5.91/4.11 constB153: state_type)).
% 5.91/4.11 tff(constB152_type, type, (
% 5.91/4.11 constB152: state_type)).
% 5.91/4.11 tff(constB151_type, type, (
% 5.91/4.11 constB151: state_type)).
% 5.91/4.11 tff(constB150_type, type, (
% 5.91/4.11 constB150: state_type)).
% 5.91/4.11 tff(constB149_type, type, (
% 5.91/4.11 constB149: state_type)).
% 5.91/4.11 tff(constB148_type, type, (
% 5.91/4.11 constB148: state_type)).
% 5.91/4.11 tff(constB147_type, type, (
% 5.91/4.11 constB147: state_type)).
% 5.91/4.11 tff(constB146_type, type, (
% 5.91/4.11 constB146: state_type)).
% 5.91/4.11 tff(constB145_type, type, (
% 5.91/4.11 constB145: state_type)).
% 5.91/4.11 tff(constB144_type, type, (
% 5.91/4.11 constB144: state_type)).
% 5.91/4.11 tff(constB143_type, type, (
% 5.91/4.11 constB143: state_type)).
% 5.91/4.11 tff(constB142_type, type, (
% 5.91/4.11 constB142: state_type)).
% 5.91/4.11 tff(constB141_type, type, (
% 5.91/4.11 constB141: state_type)).
% 5.91/4.11 tff(constB140_type, type, (
% 5.91/4.11 constB140: state_type)).
% 5.91/4.11 tff(constB139_type, type, (
% 5.91/4.11 constB139: state_type)).
% 5.91/4.11 tff(constB138_type, type, (
% 5.91/4.11 constB138: state_type)).
% 5.91/4.11 tff(constB137_type, type, (
% 5.91/4.11 constB137: state_type)).
% 5.91/4.11 tff(constB136_type, type, (
% 5.91/4.11 constB136: state_type)).
% 5.91/4.11 tff(constB135_type, type, (
% 5.91/4.11 constB135: state_type)).
% 5.91/4.11 tff(constB134_type, type, (
% 5.91/4.11 constB134: state_type)).
% 5.91/4.11 tff(constB133_type, type, (
% 5.91/4.11 constB133: state_type)).
% 5.91/4.11 tff(constB132_type, type, (
% 5.91/4.11 constB132: state_type)).
% 5.91/4.11 tff(constB131_type, type, (
% 5.91/4.11 constB131: state_type)).
% 5.91/4.11 tff(constB130_type, type, (
% 5.91/4.11 constB130: state_type)).
% 5.91/4.11 tff(v147_type, type, (
% 5.91/4.11 v147: state_type > $o)).
% 5.91/4.11 tff(v146_type, type, (
% 5.91/4.11 v146: state_type > $o)).
% 5.91/4.11 tff(v169_type, type, (
% 5.91/4.11 v169: state_type > $o)).
% 5.91/4.11 tff(v141_type, type, (
% 5.91/4.11 v141: state_type > $o)).
% 5.91/4.11 tff(constB194_type, type, (
% 5.91/4.11 constB194: state_type)).
% 5.91/4.11 tff(constB200_type, type, (
% 5.91/4.11 constB200: state_type)).
% 5.91/4.11 tff(constB195_type, type, (
% 5.91/4.11 constB195: state_type)).
% 5.91/4.11 tff(constB193_type, type, (
% 5.91/4.11 constB193: state_type)).
% 5.91/4.11 tff(constB192_type, type, (
% 5.91/4.11 constB192: state_type)).
% 5.91/4.11 tff(constB199_type, type, (
% 5.91/4.11 constB199: state_type)).
% 5.91/4.11 tff(constB198_type, type, (
% 5.91/4.11 constB198: state_type)).
% 5.91/4.11 tff(constB197_type, type, (
% 5.91/4.11 constB197: state_type)).
% 5.91/4.11 tff(constB196_type, type, (
% 5.91/4.11 constB196: state_type)).
% 5.91/4.11 tff(1,assumption,(constB114 = VarCurr!0), introduced(assumption)).
% 5.91/4.11 tff(2,plain,
% 5.91/4.11 (v200(constB114) <=> v200(VarCurr!0)),
% 5.91/4.11 inference(monotonicity,[status(thm)],[1])).
% 5.91/4.11 tff(3,plain,
% 5.91/4.11 (v200(VarCurr!0) <=> v200(constB114)),
% 5.91/4.11 inference(symmetry,[status(thm)],[2])).
% 5.91/4.11 tff(4,plain,
% 5.91/4.11 (^[VarCurr: state_type] : refl(((~v82(VarCurr)) <=> v200(VarCurr)) <=> ((~v82(VarCurr)) <=> v200(VarCurr)))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(5,plain,
% 5.91/4.11 (![VarCurr: state_type] : ((~v82(VarCurr)) <=> v200(VarCurr)) <=> ![VarCurr: state_type] : ((~v82(VarCurr)) <=> v200(VarCurr))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[4])).
% 5.91/4.11 tff(6,plain,
% 5.91/4.11 (![VarCurr: state_type] : ((~v82(VarCurr)) <=> v200(VarCurr)) <=> ![VarCurr: state_type] : ((~v82(VarCurr)) <=> v200(VarCurr))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(7,axiom,(![VarCurr: state_type] : ((~v82(VarCurr)) <=> v200(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_17')).
% 5.91/4.11 tff(8,plain,
% 5.91/4.11 (![VarCurr: state_type] : ((~v82(VarCurr)) <=> v200(VarCurr))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[7, 6])).
% 5.91/4.11 tff(9,plain,(
% 5.91/4.11 ![VarCurr: state_type] : ((~v82(VarCurr)) <=> v200(VarCurr))),
% 5.91/4.11 inference(skolemize,[status(sab)],[8])).
% 5.91/4.11 tff(10,plain,
% 5.91/4.11 (![VarCurr: state_type] : ((~v82(VarCurr)) <=> v200(VarCurr))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[9, 5])).
% 5.91/4.11 tff(11,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : ((~v82(VarCurr)) <=> v200(VarCurr))) | ((~v82(VarCurr!0)) <=> v200(VarCurr!0))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(12,plain,
% 5.91/4.11 ((~v82(VarCurr!0)) <=> v200(VarCurr!0)),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[11, 10])).
% 5.91/4.11 tff(13,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))) <=> (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(14,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (reachableState(VarCurr) => v82(VarCurr))) <=> (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(15,axiom,(~![VarCurr: state_type] : (reachableState(VarCurr) => v82(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion')).
% 5.91/4.11 tff(16,plain,
% 5.91/4.11 (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[15, 14])).
% 5.91/4.11 tff(17,plain,
% 5.91/4.11 (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[16, 13])).
% 5.91/4.11 tff(18,plain,
% 5.91/4.11 (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[17, 13])).
% 5.91/4.11 tff(19,plain,
% 5.91/4.11 (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[18, 13])).
% 5.91/4.11 tff(20,plain,
% 5.91/4.11 (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[19, 13])).
% 5.91/4.11 tff(21,plain,
% 5.91/4.11 (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[20, 13])).
% 5.91/4.11 tff(22,plain,
% 5.91/4.11 (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[21, 13])).
% 5.91/4.11 tff(23,plain,(
% 5.91/4.11 ~(v82(VarCurr!0) | (~reachableState(VarCurr!0)))),
% 5.91/4.11 inference(skolemize,[status(sab)],[22])).
% 5.91/4.11 tff(24,plain,
% 5.91/4.11 (~v82(VarCurr!0)),
% 5.91/4.11 inference(or_elim,[status(thm)],[23])).
% 5.91/4.11 tff(25,plain,
% 5.91/4.11 ((~((~v82(VarCurr!0)) <=> v200(VarCurr!0))) | v82(VarCurr!0) | v200(VarCurr!0)),
% 5.91/4.11 inference(tautology,[status(thm)],[])).
% 5.91/4.11 tff(26,plain,
% 5.91/4.11 ((~((~v82(VarCurr!0)) <=> v200(VarCurr!0))) | v200(VarCurr!0)),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[25, 24])).
% 5.91/4.11 tff(27,plain,
% 5.91/4.11 (v200(VarCurr!0)),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[26, 12])).
% 5.91/4.11 tff(28,plain,
% 5.91/4.11 (v200(constB114)),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[27, 3])).
% 5.91/4.11 tff(29,plain,
% 5.91/4.11 (^[VarCurr: state_type] : refl((v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr))) <=> (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(30,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr))) <=> ![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[29])).
% 5.91/4.11 tff(31,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr))) <=> ![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(32,axiom,(![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_53')).
% 5.91/4.11 tff(33,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[32, 31])).
% 5.91/4.11 tff(34,plain,(
% 5.91/4.11 ![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))),
% 5.91/4.11 inference(skolemize,[status(sab)],[33])).
% 5.91/4.11 tff(35,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[34, 30])).
% 5.91/4.11 tff(36,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB114) <=> (v201(constB114) | v205(constB114)))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(37,plain,
% 5.91/4.11 (v200(constB114) <=> (v201(constB114) | v205(constB114))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[36, 35])).
% 5.91/4.11 tff(38,plain,
% 5.91/4.11 (^[VarCurr: state_type] : refl((v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr))))) <=> (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr))))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(39,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr))))) <=> ![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[38])).
% 5.91/4.11 tff(40,plain,
% 5.91/4.11 (^[VarCurr: state_type] : rewrite((v201(VarCurr) <=> (v202(VarCurr) & v157(VarCurr))) <=> (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr))))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(41,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v201(VarCurr) <=> (v202(VarCurr) & v157(VarCurr))) <=> ![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[40])).
% 5.91/4.11 tff(42,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v201(VarCurr) <=> (v202(VarCurr) & v157(VarCurr))) <=> ![VarCurr: state_type] : (v201(VarCurr) <=> (v202(VarCurr) & v157(VarCurr)))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(43,axiom,(![VarCurr: state_type] : (v201(VarCurr) <=> (v202(VarCurr) & v157(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51')).
% 5.91/4.11 tff(44,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v201(VarCurr) <=> (v202(VarCurr) & v157(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[43, 42])).
% 5.91/4.11 tff(45,plain,(
% 5.91/4.11 ![VarCurr: state_type] : (v201(VarCurr) <=> (v202(VarCurr) & v157(VarCurr)))),
% 5.91/4.11 inference(skolemize,[status(sab)],[44])).
% 5.91/4.11 tff(46,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[45, 41])).
% 5.91/4.11 tff(47,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[46, 39])).
% 5.91/4.11 tff(48,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB114) <=> (~((~v157(constB114)) | (~v202(constB114)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB114) <=> (~((~v157(constB114)) | (~v202(constB114))))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(49,plain,
% 5.91/4.11 ((v201(constB114) <=> (~((~v202(constB114)) | (~v157(constB114))))) <=> (v201(constB114) <=> (~((~v157(constB114)) | (~v202(constB114)))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(50,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB114) <=> (~((~v202(constB114)) | (~v157(constB114)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB114) <=> (~((~v157(constB114)) | (~v202(constB114))))))),
% 5.91/4.11 inference(monotonicity,[status(thm)],[49])).
% 5.91/4.11 tff(51,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB114) <=> (~((~v202(constB114)) | (~v157(constB114)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB114) <=> (~((~v157(constB114)) | (~v202(constB114))))))),
% 5.91/4.11 inference(transitivity,[status(thm)],[50, 48])).
% 5.91/4.11 tff(52,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB114) <=> (~((~v202(constB114)) | (~v157(constB114)))))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(53,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB114) <=> (~((~v157(constB114)) | (~v202(constB114)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[52, 51])).
% 5.91/4.11 tff(54,plain,
% 5.91/4.11 (v201(constB114) <=> (~((~v157(constB114)) | (~v202(constB114))))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[53, 47])).
% 5.91/4.11 tff(55,plain,
% 5.91/4.11 (^[VarCurr: state_type] : refl((v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr))))) <=> (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr))))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(56,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr))))) <=> ![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[55])).
% 5.91/4.11 tff(57,plain,
% 5.91/4.11 (^[VarCurr: state_type] : rewrite((v202(VarCurr) <=> (v183(VarCurr) & v203(VarCurr))) <=> (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr))))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(58,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v202(VarCurr) <=> (v183(VarCurr) & v203(VarCurr))) <=> ![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[57])).
% 5.91/4.11 tff(59,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v202(VarCurr) <=> (v183(VarCurr) & v203(VarCurr))) <=> ![VarCurr: state_type] : (v202(VarCurr) <=> (v183(VarCurr) & v203(VarCurr)))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(60,axiom,(![VarCurr: state_type] : (v202(VarCurr) <=> (v183(VarCurr) & v203(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50')).
% 5.91/4.11 tff(61,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v202(VarCurr) <=> (v183(VarCurr) & v203(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[60, 59])).
% 5.91/4.11 tff(62,plain,(
% 5.91/4.11 ![VarCurr: state_type] : (v202(VarCurr) <=> (v183(VarCurr) & v203(VarCurr)))),
% 5.91/4.11 inference(skolemize,[status(sab)],[61])).
% 5.91/4.11 tff(63,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[62, 58])).
% 5.91/4.11 tff(64,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[63, 56])).
% 5.91/4.11 tff(65,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB114) <=> (~((~v183(constB114)) | (~v203(constB114)))))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(66,plain,
% 5.91/4.11 (v202(constB114) <=> (~((~v183(constB114)) | (~v203(constB114))))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[65, 64])).
% 5.91/4.11 tff(67,plain,
% 5.91/4.11 (^[VarCurr: state_type] : refl((v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr))))) <=> (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr))))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(68,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr))))) <=> ![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[67])).
% 5.91/4.11 tff(69,plain,
% 5.91/4.11 (^[VarCurr: state_type] : rewrite((v203(VarCurr) <=> (v204(VarCurr) & v185(VarCurr))) <=> (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr))))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(70,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v203(VarCurr) <=> (v204(VarCurr) & v185(VarCurr))) <=> ![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[69])).
% 5.91/4.11 tff(71,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v203(VarCurr) <=> (v204(VarCurr) & v185(VarCurr))) <=> ![VarCurr: state_type] : (v203(VarCurr) <=> (v204(VarCurr) & v185(VarCurr)))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(72,axiom,(![VarCurr: state_type] : (v203(VarCurr) <=> (v204(VarCurr) & v185(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49')).
% 5.91/4.11 tff(73,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v203(VarCurr) <=> (v204(VarCurr) & v185(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[72, 71])).
% 5.91/4.11 tff(74,plain,(
% 5.91/4.11 ![VarCurr: state_type] : (v203(VarCurr) <=> (v204(VarCurr) & v185(VarCurr)))),
% 5.91/4.11 inference(skolemize,[status(sab)],[73])).
% 5.91/4.11 tff(75,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[74, 70])).
% 5.91/4.11 tff(76,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[75, 68])).
% 5.91/4.11 tff(77,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB114) <=> (~((~v185(constB114)) | (~v204(constB114)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB114) <=> (~((~v185(constB114)) | (~v204(constB114))))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(78,plain,
% 5.91/4.11 ((v203(constB114) <=> (~((~v204(constB114)) | (~v185(constB114))))) <=> (v203(constB114) <=> (~((~v185(constB114)) | (~v204(constB114)))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(79,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB114) <=> (~((~v204(constB114)) | (~v185(constB114)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB114) <=> (~((~v185(constB114)) | (~v204(constB114))))))),
% 5.91/4.11 inference(monotonicity,[status(thm)],[78])).
% 5.91/4.11 tff(80,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB114) <=> (~((~v204(constB114)) | (~v185(constB114)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB114) <=> (~((~v185(constB114)) | (~v204(constB114))))))),
% 5.91/4.11 inference(transitivity,[status(thm)],[79, 77])).
% 5.91/4.11 tff(81,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB114) <=> (~((~v204(constB114)) | (~v185(constB114)))))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(82,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB114) <=> (~((~v185(constB114)) | (~v204(constB114)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[81, 80])).
% 5.91/4.11 tff(83,plain,
% 5.91/4.11 (v203(constB114) <=> (~((~v185(constB114)) | (~v204(constB114))))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[82, 76])).
% 5.91/4.11 tff(84,plain,
% 5.91/4.11 (^[VarCurr: state_type] : refl((v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(85,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> ![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[84])).
% 5.91/4.11 tff(86,plain,
% 5.91/4.11 (^[VarCurr: state_type] : rewrite((v185(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(87,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v185(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[86])).
% 5.91/4.11 tff(88,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v185(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: state_type] : (v185(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(89,axiom,(![VarCurr: state_type] : (v185(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42')).
% 5.91/4.11 tff(90,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v185(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[89, 88])).
% 5.91/4.11 tff(91,plain,(
% 5.91/4.11 ![VarCurr: state_type] : (v185(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 5.91/4.11 inference(skolemize,[status(sab)],[90])).
% 5.91/4.11 tff(92,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[91, 87])).
% 5.91/4.11 tff(93,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[92, 85])).
% 5.91/4.11 tff(94,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(95,plain,
% 5.91/4.11 (v185(constB114) <=> (~((~v39(constB114)) | (~v9(constB114))))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[94, 93])).
% 5.91/4.11 tff(96,plain,
% 5.91/4.11 (^[VarCurr: state_type] : refl(((~v39(VarCurr)) <=> v1(VarCurr)) <=> ((~v39(VarCurr)) <=> v1(VarCurr)))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(97,plain,
% 5.91/4.11 (![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[96])).
% 5.91/4.11 tff(98,plain,
% 5.91/4.11 (![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(99,axiom,(![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_3')).
% 5.91/4.11 tff(100,plain,
% 5.91/4.11 (![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[99, 98])).
% 5.91/4.11 tff(101,plain,(
% 5.91/4.11 ![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 5.91/4.11 inference(skolemize,[status(sab)],[100])).
% 5.91/4.11 tff(102,plain,
% 5.91/4.11 (![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[101, 97])).
% 5.91/4.11 tff(103,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB114)) <=> v1(constB114))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(104,plain,
% 5.91/4.11 ((~v39(constB114)) <=> v1(constB114)),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[103, 102])).
% 5.91/4.11 tff(105,plain,
% 5.91/4.11 (v1(constB114) <=> v1(constB114)),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(106,axiom,(v1(constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_114')).
% 5.91/4.11 tff(107,plain,
% 5.91/4.11 (v1(constB114)),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[106, 105])).
% 5.91/4.11 tff(108,plain,
% 5.91/4.11 ((~((~v39(constB114)) <=> v1(constB114))) | (~v39(constB114)) | (~v1(constB114))),
% 5.91/4.11 inference(tautology,[status(thm)],[])).
% 5.91/4.11 tff(109,plain,
% 5.91/4.11 ((~((~v39(constB114)) <=> v1(constB114))) | (~v39(constB114))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[108, 107])).
% 5.91/4.11 tff(110,plain,
% 5.91/4.11 (~v39(constB114)),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[109, 104])).
% 5.91/4.11 tff(111,plain,
% 5.91/4.11 (((~v39(constB114)) | (~v9(constB114))) | v39(constB114)),
% 5.91/4.11 inference(tautology,[status(thm)],[])).
% 5.91/4.11 tff(112,plain,
% 5.91/4.11 ((~v39(constB114)) | (~v9(constB114))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[111, 110])).
% 5.91/4.11 tff(113,plain,
% 5.91/4.11 ((~(v185(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))) | (~v185(constB114)) | (~((~v39(constB114)) | (~v9(constB114))))),
% 5.91/4.11 inference(tautology,[status(thm)],[])).
% 5.91/4.11 tff(114,plain,
% 5.91/4.11 ((~(v185(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))) | (~v185(constB114))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[113, 112])).
% 5.91/4.11 tff(115,plain,
% 5.91/4.11 (~v185(constB114)),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[114, 95])).
% 5.91/4.11 tff(116,plain,
% 5.91/4.11 (((~v185(constB114)) | (~v204(constB114))) | v185(constB114)),
% 5.91/4.11 inference(tautology,[status(thm)],[])).
% 5.91/4.11 tff(117,plain,
% 5.91/4.11 ((~v185(constB114)) | (~v204(constB114))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[116, 115])).
% 5.91/4.11 tff(118,plain,
% 5.91/4.11 ((~(v203(constB114) <=> (~((~v185(constB114)) | (~v204(constB114)))))) | (~v203(constB114)) | (~((~v185(constB114)) | (~v204(constB114))))),
% 5.91/4.11 inference(tautology,[status(thm)],[])).
% 5.91/4.11 tff(119,plain,
% 5.91/4.11 ((~(v203(constB114) <=> (~((~v185(constB114)) | (~v204(constB114)))))) | (~v203(constB114))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[118, 117])).
% 5.91/4.11 tff(120,plain,
% 5.91/4.11 (~v203(constB114)),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[119, 83])).
% 5.91/4.11 tff(121,plain,
% 5.91/4.11 (((~v183(constB114)) | (~v203(constB114))) | v203(constB114)),
% 5.91/4.11 inference(tautology,[status(thm)],[])).
% 5.91/4.11 tff(122,plain,
% 5.91/4.11 ((~v183(constB114)) | (~v203(constB114))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[121, 120])).
% 5.91/4.11 tff(123,plain,
% 5.91/4.11 ((~(v202(constB114) <=> (~((~v183(constB114)) | (~v203(constB114)))))) | (~v202(constB114)) | (~((~v183(constB114)) | (~v203(constB114))))),
% 5.91/4.11 inference(tautology,[status(thm)],[])).
% 5.91/4.11 tff(124,plain,
% 5.91/4.11 (~v202(constB114)),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[123, 122, 66])).
% 5.91/4.11 tff(125,plain,
% 5.91/4.11 (((~v157(constB114)) | (~v202(constB114))) | v202(constB114)),
% 5.91/4.11 inference(tautology,[status(thm)],[])).
% 5.91/4.11 tff(126,plain,
% 5.91/4.11 ((~v157(constB114)) | (~v202(constB114))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[125, 124])).
% 5.91/4.11 tff(127,plain,
% 5.91/4.11 ((~(v201(constB114) <=> (~((~v157(constB114)) | (~v202(constB114)))))) | (~v201(constB114)) | (~((~v157(constB114)) | (~v202(constB114))))),
% 5.91/4.11 inference(tautology,[status(thm)],[])).
% 5.91/4.11 tff(128,plain,
% 5.91/4.11 (~v201(constB114)),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[127, 126, 54])).
% 5.91/4.11 tff(129,plain,
% 5.91/4.11 (^[VarCurr: state_type] : refl((v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr))))) <=> (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr))))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(130,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr))))) <=> ![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[129])).
% 5.91/4.11 tff(131,plain,
% 5.91/4.11 (^[VarCurr: state_type] : rewrite((v205(VarCurr) <=> (v202(VarCurr) & v159(VarCurr))) <=> (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr))))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(132,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v205(VarCurr) <=> (v202(VarCurr) & v159(VarCurr))) <=> ![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[131])).
% 5.91/4.11 tff(133,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v205(VarCurr) <=> (v202(VarCurr) & v159(VarCurr))) <=> ![VarCurr: state_type] : (v205(VarCurr) <=> (v202(VarCurr) & v159(VarCurr)))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(134,axiom,(![VarCurr: state_type] : (v205(VarCurr) <=> (v202(VarCurr) & v159(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_52')).
% 5.91/4.11 tff(135,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v205(VarCurr) <=> (v202(VarCurr) & v159(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[134, 133])).
% 5.91/4.11 tff(136,plain,(
% 5.91/4.11 ![VarCurr: state_type] : (v205(VarCurr) <=> (v202(VarCurr) & v159(VarCurr)))),
% 5.91/4.11 inference(skolemize,[status(sab)],[135])).
% 5.91/4.11 tff(137,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[136, 132])).
% 5.91/4.11 tff(138,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[137, 130])).
% 5.91/4.11 tff(139,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB114) <=> (~((~v159(constB114)) | (~v202(constB114)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB114) <=> (~((~v159(constB114)) | (~v202(constB114))))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(140,plain,
% 5.91/4.11 ((v205(constB114) <=> (~((~v202(constB114)) | (~v159(constB114))))) <=> (v205(constB114) <=> (~((~v159(constB114)) | (~v202(constB114)))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(141,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB114) <=> (~((~v202(constB114)) | (~v159(constB114)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB114) <=> (~((~v159(constB114)) | (~v202(constB114))))))),
% 5.91/4.11 inference(monotonicity,[status(thm)],[140])).
% 5.91/4.11 tff(142,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB114) <=> (~((~v202(constB114)) | (~v159(constB114)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB114) <=> (~((~v159(constB114)) | (~v202(constB114))))))),
% 5.91/4.11 inference(transitivity,[status(thm)],[141, 139])).
% 5.91/4.11 tff(143,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB114) <=> (~((~v202(constB114)) | (~v159(constB114)))))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(144,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB114) <=> (~((~v159(constB114)) | (~v202(constB114)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[143, 142])).
% 5.91/4.11 tff(145,plain,
% 5.91/4.11 (v205(constB114) <=> (~((~v159(constB114)) | (~v202(constB114))))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[144, 138])).
% 5.91/4.11 tff(146,plain,
% 5.91/4.11 (((~v159(constB114)) | (~v202(constB114))) | v202(constB114)),
% 5.91/4.11 inference(tautology,[status(thm)],[])).
% 5.91/4.11 tff(147,plain,
% 5.91/4.11 ((~v159(constB114)) | (~v202(constB114))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[146, 124])).
% 5.91/4.11 tff(148,plain,
% 5.91/4.11 ((~(v205(constB114) <=> (~((~v159(constB114)) | (~v202(constB114)))))) | (~v205(constB114)) | (~((~v159(constB114)) | (~v202(constB114))))),
% 5.91/4.11 inference(tautology,[status(thm)],[])).
% 5.91/4.11 tff(149,plain,
% 5.91/4.11 (~v205(constB114)),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[148, 147, 145])).
% 5.91/4.11 tff(150,plain,
% 5.91/4.11 ((~(v201(constB114) | v205(constB114))) | v201(constB114) | v205(constB114)),
% 5.91/4.11 inference(tautology,[status(thm)],[])).
% 5.91/4.11 tff(151,plain,
% 5.91/4.11 (~(v201(constB114) | v205(constB114))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[150, 149, 128])).
% 5.91/4.11 tff(152,plain,
% 5.91/4.11 ((~(v200(constB114) <=> (v201(constB114) | v205(constB114)))) | (~v200(constB114)) | (v201(constB114) | v205(constB114))),
% 5.91/4.11 inference(tautology,[status(thm)],[])).
% 5.91/4.11 tff(153,plain,
% 5.91/4.11 ((~(v200(constB114) <=> (v201(constB114) | v205(constB114)))) | (~v200(constB114))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[152, 151])).
% 5.91/4.11 tff(154,plain,
% 5.91/4.11 (~v200(constB114)),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[153, 37])).
% 5.91/4.11 tff(155,plain,
% 5.91/4.11 ($false),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[154, 28])).
% 5.91/4.11 tff(156,plain,(~(constB114 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 5.91/4.11 tff(157,assumption,(constB129 = VarCurr!0), introduced(assumption)).
% 5.91/4.11 tff(158,plain,
% 5.91/4.11 (v200(constB129) <=> v200(VarCurr!0)),
% 5.91/4.11 inference(monotonicity,[status(thm)],[157])).
% 5.91/4.11 tff(159,plain,
% 5.91/4.11 (v200(VarCurr!0) <=> v200(constB129)),
% 5.91/4.11 inference(symmetry,[status(thm)],[158])).
% 5.91/4.11 tff(160,plain,
% 5.91/4.11 (v200(constB129)),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[27, 159])).
% 5.91/4.11 tff(161,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB129) <=> (v201(constB129) | v205(constB129)))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(162,plain,
% 5.91/4.11 (v200(constB129) <=> (v201(constB129) | v205(constB129))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[161, 35])).
% 5.91/4.11 tff(163,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB129) <=> (~((~v157(constB129)) | (~v202(constB129)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB129) <=> (~((~v157(constB129)) | (~v202(constB129))))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(164,plain,
% 5.91/4.11 ((v201(constB129) <=> (~((~v202(constB129)) | (~v157(constB129))))) <=> (v201(constB129) <=> (~((~v157(constB129)) | (~v202(constB129)))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(165,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB129) <=> (~((~v202(constB129)) | (~v157(constB129)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB129) <=> (~((~v157(constB129)) | (~v202(constB129))))))),
% 5.91/4.11 inference(monotonicity,[status(thm)],[164])).
% 5.91/4.11 tff(166,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB129) <=> (~((~v202(constB129)) | (~v157(constB129)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB129) <=> (~((~v157(constB129)) | (~v202(constB129))))))),
% 5.91/4.11 inference(transitivity,[status(thm)],[165, 163])).
% 5.91/4.11 tff(167,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB129) <=> (~((~v202(constB129)) | (~v157(constB129)))))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(168,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB129) <=> (~((~v157(constB129)) | (~v202(constB129)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[167, 166])).
% 5.91/4.11 tff(169,plain,
% 5.91/4.11 (v201(constB129) <=> (~((~v157(constB129)) | (~v202(constB129))))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[168, 47])).
% 5.91/4.11 tff(170,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB129) <=> (~((~v183(constB129)) | (~v203(constB129)))))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(171,plain,
% 5.91/4.11 (v202(constB129) <=> (~((~v183(constB129)) | (~v203(constB129))))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[170, 64])).
% 5.91/4.11 tff(172,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB129) <=> (~((~v185(constB129)) | (~v204(constB129)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB129) <=> (~((~v185(constB129)) | (~v204(constB129))))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(173,plain,
% 5.91/4.11 ((v203(constB129) <=> (~((~v204(constB129)) | (~v185(constB129))))) <=> (v203(constB129) <=> (~((~v185(constB129)) | (~v204(constB129)))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(174,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB129) <=> (~((~v204(constB129)) | (~v185(constB129)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB129) <=> (~((~v185(constB129)) | (~v204(constB129))))))),
% 5.91/4.11 inference(monotonicity,[status(thm)],[173])).
% 5.91/4.11 tff(175,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB129) <=> (~((~v204(constB129)) | (~v185(constB129)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB129) <=> (~((~v185(constB129)) | (~v204(constB129))))))),
% 5.91/4.11 inference(transitivity,[status(thm)],[174, 172])).
% 5.91/4.11 tff(176,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB129) <=> (~((~v204(constB129)) | (~v185(constB129)))))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(177,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB129) <=> (~((~v185(constB129)) | (~v204(constB129)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[176, 175])).
% 5.91/4.11 tff(178,plain,
% 5.91/4.11 (v203(constB129) <=> (~((~v185(constB129)) | (~v204(constB129))))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[177, 76])).
% 5.91/4.11 tff(179,plain,
% 5.91/4.11 (^[VarCurr: state_type] : refl(((~v204(VarCurr)) <=> v84(VarCurr)) <=> ((~v204(VarCurr)) <=> v84(VarCurr)))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(180,plain,
% 5.91/4.11 (![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr)) <=> ![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[179])).
% 5.91/4.11 tff(181,plain,
% 5.91/4.11 (![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr)) <=> ![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(182,axiom,(![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_16')).
% 5.91/4.11 tff(183,plain,
% 5.91/4.11 (![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[182, 181])).
% 5.91/4.11 tff(184,plain,(
% 5.91/4.11 ![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))),
% 5.91/4.11 inference(skolemize,[status(sab)],[183])).
% 5.91/4.11 tff(185,plain,
% 5.91/4.11 (![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[184, 180])).
% 5.91/4.11 tff(186,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))) | ((~v204(constB129)) <=> v84(constB129))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(187,plain,
% 5.91/4.11 ((~v204(constB129)) <=> v84(constB129)),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[186, 185])).
% 5.91/4.11 tff(188,plain,
% 5.91/4.11 (^[VarCurr: state_type] : refl((v84(VarCurr) <=> v86(VarCurr)) <=> (v84(VarCurr) <=> v86(VarCurr)))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(189,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[188])).
% 5.91/4.11 tff(190,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(191,axiom,(![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_9')).
% 5.91/4.11 tff(192,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[191, 190])).
% 5.91/4.11 tff(193,plain,(
% 5.91/4.11 ![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))),
% 5.91/4.11 inference(skolemize,[status(sab)],[192])).
% 5.91/4.11 tff(194,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[193, 189])).
% 5.91/4.11 tff(195,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB129) <=> v86(constB129))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(196,plain,
% 5.91/4.11 (v84(constB129) <=> v86(constB129)),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[195, 194])).
% 5.91/4.11 tff(197,plain,
% 5.91/4.11 (^[VarCurr: state_type] : refl((v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(198,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> ![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[197])).
% 5.91/4.11 tff(199,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> ![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(200,axiom,(![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_33')).
% 5.91/4.11 tff(201,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[200, 199])).
% 5.91/4.11 tff(202,plain,(
% 5.91/4.11 ![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 5.91/4.11 inference(skolemize,[status(sab)],[201])).
% 5.91/4.11 tff(203,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[202, 198])).
% 5.91/4.11 tff(204,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB129) <=> (v136(constB129) | v145(constB129)))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(205,plain,
% 5.91/4.11 (v135(constB129) <=> (v136(constB129) | v145(constB129))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[204, 203])).
% 5.91/4.11 tff(206,plain,
% 5.91/4.11 (^[VarCurr: state_type] : refl((v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(207,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> ![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[206])).
% 5.91/4.11 tff(208,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> ![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(209,axiom,(![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_31')).
% 5.91/4.11 tff(210,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[209, 208])).
% 5.91/4.11 tff(211,plain,(
% 5.91/4.11 ![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 5.91/4.11 inference(skolemize,[status(sab)],[210])).
% 5.91/4.11 tff(212,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[211, 207])).
% 5.91/4.11 tff(213,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB129) <=> (v137(constB129) | v142(constB129)))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(214,plain,
% 5.91/4.11 (v136(constB129) <=> (v137(constB129) | v142(constB129))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[213, 212])).
% 5.91/4.11 tff(215,plain,
% 5.91/4.11 (^[VarCurr: state_type] : refl((v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(216,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> ![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[215])).
% 5.91/4.11 tff(217,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> ![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(218,axiom,(![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30')).
% 5.91/4.11 tff(219,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[218, 217])).
% 5.91/4.11 tff(220,plain,(
% 5.91/4.11 ![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 5.91/4.11 inference(skolemize,[status(sab)],[219])).
% 5.91/4.11 tff(221,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[220, 216])).
% 5.91/4.11 tff(222,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB129) <=> (v143(constB129) | v144(constB129)))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(223,plain,
% 5.91/4.11 (v142(constB129) <=> (v143(constB129) | v144(constB129))),
% 5.91/4.11 inference(unit_resolution,[status(thm)],[222, 221])).
% 5.91/4.11 tff(224,plain,
% 5.91/4.11 (^[VarCurr: state_type] : refl((v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1))))) <=> (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1))))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(225,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1))))) <=> ![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[224])).
% 5.91/4.11 tff(226,plain,
% 5.91/4.11 (^[VarCurr: state_type] : rewrite((v143(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & (~v88(VarCurr, 0)))) <=> (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1))))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(227,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v143(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & (~v88(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[226])).
% 5.91/4.11 tff(228,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v143(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & (~v88(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v143(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & (~v88(VarCurr, 0))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(229,plain,
% 5.91/4.11 (^[VarCurr: state_type] : rewrite((v143(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $true)) & (v88(VarCurr, 0) <=> $false))) <=> (v143(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & (~v88(VarCurr, 0)))))),
% 5.91/4.11 inference(bind,[status(th)],[])).
% 5.91/4.11 tff(230,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v143(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $true)) & (v88(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v143(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & (~v88(VarCurr, 0))))),
% 5.91/4.11 inference(quant_intro,[status(thm)],[229])).
% 5.91/4.11 tff(231,axiom,(![VarCurr: state_type] : (v143(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $true)) & (v88(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12')).
% 5.91/4.11 tff(232,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v143(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & (~v88(VarCurr, 0))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[231, 230])).
% 5.91/4.11 tff(233,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v143(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & (~v88(VarCurr, 0))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[232, 228])).
% 5.91/4.11 tff(234,plain,(
% 5.91/4.11 ![VarCurr: state_type] : (v143(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & (~v88(VarCurr, 0))))),
% 5.91/4.11 inference(skolemize,[status(sab)],[233])).
% 5.91/4.11 tff(235,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[234, 227])).
% 5.91/4.11 tff(236,plain,
% 5.91/4.11 (![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[235, 225])).
% 5.91/4.11 tff(237,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB129) <=> (~((~v88(constB129, 1)) | v88(constB129, 2) | v88(constB129, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB129) <=> (~((~v88(constB129, 1)) | v88(constB129, 2) | v88(constB129, 0)))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(238,plain,
% 5.91/4.11 ((v143(constB129) <=> (~(v88(constB129, 0) | v88(constB129, 2) | (~v88(constB129, 1))))) <=> (v143(constB129) <=> (~((~v88(constB129, 1)) | v88(constB129, 2) | v88(constB129, 0))))),
% 5.91/4.11 inference(rewrite,[status(thm)],[])).
% 5.91/4.11 tff(239,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB129) <=> (~(v88(constB129, 0) | v88(constB129, 2) | (~v88(constB129, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB129) <=> (~((~v88(constB129, 1)) | v88(constB129, 2) | v88(constB129, 0)))))),
% 5.91/4.11 inference(monotonicity,[status(thm)],[238])).
% 5.91/4.11 tff(240,plain,
% 5.91/4.11 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB129) <=> (~(v88(constB129, 0) | v88(constB129, 2) | (~v88(constB129, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB129) <=> (~((~v88(constB129, 1)) | v88(constB129, 2) | v88(constB129, 0)))))),
% 5.91/4.11 inference(transitivity,[status(thm)],[239, 237])).
% 5.91/4.11 tff(241,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB129) <=> (~(v88(constB129, 0) | v88(constB129, 2) | (~v88(constB129, 1)))))),
% 5.91/4.11 inference(quant_inst,[status(thm)],[])).
% 5.91/4.11 tff(242,plain,
% 5.91/4.11 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB129) <=> (~((~v88(constB129, 1)) | v88(constB129, 2) | v88(constB129, 0))))),
% 5.91/4.11 inference(modus_ponens,[status(thm)],[241, 240])).
% 5.91/4.11 tff(243,plain,
% 5.91/4.11 (v143(constB129) <=> (~((~v88(constB129, 1)) | v88(constB129, 2) | v88(constB129, 0)))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[242, 236])).
% 5.91/4.12 tff(244,plain,
% 5.91/4.12 (^[VarCurr: state_type] : refl((~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0)))) <=> (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0)))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(245,plain,
% 5.91/4.12 (![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[244])).
% 5.91/4.12 tff(246,plain,
% 5.91/4.12 (^[VarCurr: state_type] : rewrite(((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0))) <=> (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0)))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(247,plain,
% 5.91/4.12 (![VarCurr: state_type] : ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0))) <=> ![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[246])).
% 5.91/4.12 tff(248,plain,
% 5.91/4.12 (![VarCurr: state_type] : ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0)))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(249,plain,
% 5.91/4.12 (^[VarCurr: state_type] : rewrite((((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1))) & (v88(VarCurr, 0) <=> v90(VarCurr, 0))) <=> ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(250,plain,
% 5.91/4.12 (![VarCurr: state_type] : (((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1))) & (v88(VarCurr, 0) <=> v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0)))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[249])).
% 5.91/4.12 tff(251,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1))) & (v88(VarCurr, 0) <=> v90(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8')).
% 5.91/4.12 tff(252,plain,
% 5.91/4.12 (![VarCurr: state_type] : ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0)))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[251, 250])).
% 5.91/4.12 tff(253,plain,
% 5.91/4.12 (![VarCurr: state_type] : ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0)))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[252, 248])).
% 5.91/4.12 tff(254,plain,(
% 5.91/4.12 ![VarCurr: state_type] : ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0)))),
% 5.91/4.12 inference(skolemize,[status(sab)],[253])).
% 5.91/4.12 tff(255,plain,
% 5.91/4.12 (![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[254, 247])).
% 5.91/4.12 tff(256,plain,
% 5.91/4.12 (![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[255, 245])).
% 5.91/4.12 tff(257,plain,
% 5.91/4.12 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB129, 1)) <=> v90(constB129, 1)) | ((~v88(constB129, 2)) <=> v90(constB129, 2)) | ((~v88(constB129, 0)) <=> v90(constB129, 0))))),
% 5.91/4.12 inference(quant_inst,[status(thm)],[])).
% 5.91/4.12 tff(258,plain,
% 5.91/4.12 (~(((~v88(constB129, 1)) <=> v90(constB129, 1)) | ((~v88(constB129, 2)) <=> v90(constB129, 2)) | ((~v88(constB129, 0)) <=> v90(constB129, 0)))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[257, 256])).
% 5.91/4.12 tff(259,plain,
% 5.91/4.12 ((((~v88(constB129, 1)) <=> v90(constB129, 1)) | ((~v88(constB129, 2)) <=> v90(constB129, 2)) | ((~v88(constB129, 0)) <=> v90(constB129, 0))) | (~((~v88(constB129, 2)) <=> v90(constB129, 2)))),
% 5.91/4.12 inference(tautology,[status(thm)],[])).
% 5.91/4.12 tff(260,plain,
% 5.91/4.12 (~((~v88(constB129, 2)) <=> v90(constB129, 2))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[259, 258])).
% 5.91/4.12 tff(261,plain,
% 5.91/4.12 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(262,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[261])).
% 5.91/4.12 tff(263,plain,
% 5.91/4.12 (^[VarNext: state_type, VarCurr: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(264,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[263])).
% 5.91/4.12 tff(265,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(266,plain,
% 5.91/4.12 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(267,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[266])).
% 5.91/4.12 tff(268,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27')).
% 5.91/4.12 tff(269,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[268, 267])).
% 5.91/4.12 tff(270,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[269, 265])).
% 5.91/4.12 tff(271,plain,(
% 5.91/4.12 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 5.91/4.12 inference(skolemize,[status(sab)],[270])).
% 5.91/4.12 tff(272,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[271, 264])).
% 5.91/4.12 tff(273,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[272, 262])).
% 5.91/4.12 tff(274,plain,
% 5.91/4.12 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(275,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_128')).
% 5.91/4.12 tff(276,plain,
% 5.91/4.12 (nextState(constB128, constB129)),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[275, 274])).
% 5.91/4.12 tff(277,plain,
% 5.91/4.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(278,plain,
% 5.91/4.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))))),
% 5.91/4.12 inference(quant_inst,[status(thm)],[])).
% 5.91/4.12 tff(279,plain,
% 5.91/4.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129)))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[278, 277])).
% 5.91/4.12 tff(280,plain,
% 5.91/4.12 (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[279, 276, 273])).
% 5.91/4.12 tff(281,plain,
% 5.91/4.12 (^[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)))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(282,plain,
% 5.91/4.12 (![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))))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[281])).
% 5.91/4.12 tff(283,plain,
% 5.91/4.12 (^[VarNext: state_type, VarCurr: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(284,plain,
% 5.91/4.12 (![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))))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[283])).
% 5.91/4.12 tff(285,plain,
% 5.91/4.12 (![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))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(286,plain,
% 5.91/4.12 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(287,plain,
% 5.91/4.12 (![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))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[286])).
% 5.91/4.12 tff(288,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18')).
% 5.91/4.12 tff(289,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[288, 287])).
% 5.91/4.12 tff(290,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[289, 285])).
% 5.91/4.12 tff(291,plain,(
% 5.91/4.12 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 5.91/4.12 inference(skolemize,[status(sab)],[290])).
% 5.91/4.12 tff(292,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[291, 284])).
% 5.91/4.12 tff(293,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[292, 282])).
% 5.91/4.12 tff(294,plain,
% 5.91/4.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(295,plain,
% 5.91/4.12 (((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129)))))) <=> ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(296,plain,
% 5.91/4.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))))),
% 5.91/4.12 inference(monotonicity,[status(thm)],[295])).
% 5.91/4.12 tff(297,plain,
% 5.91/4.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))),
% 5.91/4.12 inference(transitivity,[status(thm)],[296, 294])).
% 5.91/4.12 tff(298,plain,
% 5.91/4.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129))))))),
% 5.91/4.12 inference(quant_inst,[status(thm)],[])).
% 5.91/4.12 tff(299,plain,
% 5.91/4.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[298, 297])).
% 5.91/4.12 tff(300,plain,
% 5.91/4.12 (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[299, 276, 293])).
% 5.91/4.12 tff(301,plain,
% 5.91/4.12 ((~v1(constB129)) <=> (~v1(constB129))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(302,axiom,(~v1(constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_129')).
% 5.91/4.12 tff(303,plain,
% 5.91/4.12 (~v1(constB129)),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[302, 301])).
% 5.91/4.12 tff(304,plain,
% 5.91/4.12 (((~v1(constB129)) | (~v102(constB129))) | v1(constB129)),
% 5.91/4.12 inference(tautology,[status(thm)],[])).
% 5.91/4.12 tff(305,plain,
% 5.91/4.12 ((~v1(constB129)) | (~v102(constB129))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[304, 303])).
% 5.91/4.12 tff(306,plain,
% 5.91/4.12 ((~(v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))) | (~v101(constB129)) | (~((~v1(constB129)) | (~v102(constB129))))),
% 5.91/4.12 inference(tautology,[status(thm)],[])).
% 5.91/4.12 tff(307,plain,
% 5.91/4.12 ((~(v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))) | (~v101(constB129))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[306, 305])).
% 5.91/4.12 tff(308,plain,
% 5.91/4.12 (~v101(constB129)),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[307, 300])).
% 5.91/4.12 tff(309,plain,
% 5.91/4.12 (((~v101(constB129)) | (~v110(constB129))) | v101(constB129)),
% 5.91/4.12 inference(tautology,[status(thm)],[])).
% 5.91/4.12 tff(310,plain,
% 5.91/4.12 ((~v101(constB129)) | (~v110(constB129))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[309, 308])).
% 5.91/4.12 tff(311,plain,
% 5.91/4.12 ((~(v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129)))))) | (~v100(constB129)) | (~((~v101(constB129)) | (~v110(constB129))))),
% 5.91/4.12 inference(tautology,[status(thm)],[])).
% 5.91/4.12 tff(312,plain,
% 5.91/4.12 (~v100(constB129)),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[311, 310, 280])).
% 5.91/4.12 tff(313,plain,
% 5.91/4.12 (^[VarNext: state_type, VarCurr: state_type] : refl((v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0))))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(314,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0))))) <=> ![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[313])).
% 5.91/4.12 tff(315,plain,
% 5.91/4.12 (^[VarNext: state_type, VarCurr: state_type] : rewrite((v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(316,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[315])).
% 5.91/4.12 tff(317,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(318,plain,
% 5.91/4.12 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1))) & (v90(VarNext, 0) <=> v90(VarCurr, 0))) <=> ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))), (((~v100(VarNext)) => (((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1))) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))) <=> ((~v100(VarNext)) => ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))))), rewrite(((~v100(VarNext)) => ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))) <=> (v100(VarNext) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))), (((~v100(VarNext)) => (((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1))) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))) <=> (v100(VarNext) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))))), ((nextState(VarCurr, VarNext) => ((~v100(VarNext)) => (((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1))) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))) <=> (nextState(VarCurr, VarNext) => (v100(VarNext) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))))), rewrite((nextState(VarCurr, VarNext) => (v100(VarNext) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))), ((nextState(VarCurr, VarNext) => ((~v100(VarNext)) => (((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1))) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(319,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => ((~v100(VarNext)) => (((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1))) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))) <=> ![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[318])).
% 5.91/4.12 tff(320,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => ((~v100(VarNext)) => (((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1))) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1')).
% 5.91/4.12 tff(321,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[320, 319])).
% 5.91/4.12 tff(322,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[321, 317])).
% 5.91/4.12 tff(323,plain,(
% 5.91/4.12 ![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))),
% 5.91/4.12 inference(skolemize,[status(sab)],[322])).
% 5.91/4.12 tff(324,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[323, 316])).
% 5.91/4.12 tff(325,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[324, 314])).
% 5.91/4.12 tff(326,plain,
% 5.91/4.12 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 0)) <=> v90(constB128, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 0)) <=> v90(constB128, 0)))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(327,plain,
% 5.91/4.12 ((v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 0)) <=> v90(constB128, 0))))) <=> (v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 0)) <=> v90(constB128, 0)))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(328,plain,
% 5.91/4.12 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 0)) <=> v90(constB128, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 0)) <=> v90(constB128, 0))))))),
% 5.91/4.12 inference(monotonicity,[status(thm)],[327])).
% 5.91/4.12 tff(329,plain,
% 5.91/4.12 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 0)) <=> v90(constB128, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 0)) <=> v90(constB128, 0)))))),
% 5.91/4.12 inference(transitivity,[status(thm)],[328, 326])).
% 5.91/4.12 tff(330,plain,
% 5.91/4.12 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 0)) <=> v90(constB128, 0)))))),
% 5.91/4.12 inference(quant_inst,[status(thm)],[])).
% 5.91/4.12 tff(331,plain,
% 5.91/4.12 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 0)) <=> v90(constB128, 0))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[330, 329])).
% 5.91/4.12 tff(332,plain,
% 5.91/4.12 (v100(constB129) | (~(((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 0)) <=> v90(constB128, 0))))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[331, 276, 325])).
% 5.91/4.12 tff(333,plain,
% 5.91/4.12 (~(((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 0)) <=> v90(constB128, 0)))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[332, 312])).
% 5.91/4.12 tff(334,plain,
% 5.91/4.12 ((((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 0)) <=> v90(constB128, 0))) | (~((~v90(constB129, 2)) <=> v90(constB128, 2)))),
% 5.91/4.12 inference(tautology,[status(thm)],[])).
% 5.91/4.12 tff(335,plain,
% 5.91/4.12 (~((~v90(constB129, 2)) <=> v90(constB128, 2))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[334, 333])).
% 5.91/4.12 tff(336,plain,
% 5.91/4.12 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0))))) <=> ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(337,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0))))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[336])).
% 5.91/4.12 tff(338,plain,
% 5.91/4.12 (^[VarNext: state_type, VarCurr: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))) <=> ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(339,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[338])).
% 5.91/4.12 tff(340,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(341,plain,
% 5.91/4.12 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite((((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1))) & (v129(VarNext, 0) <=> v127(VarCurr, 0))) <=> ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))), ((nextState(VarCurr, VarNext) => (((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1))) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))) <=> (nextState(VarCurr, VarNext) => ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))))), rewrite((nextState(VarCurr, VarNext) => ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))) <=> ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))), ((nextState(VarCurr, VarNext) => (((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1))) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))) <=> ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(342,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1))) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[341])).
% 5.91/4.12 tff(343,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1))) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7')).
% 5.91/4.12 tff(344,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[343, 342])).
% 5.91/4.12 tff(345,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[344, 340])).
% 5.91/4.12 tff(346,plain,(
% 5.91/4.12 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))),
% 5.91/4.12 inference(skolemize,[status(sab)],[345])).
% 5.91/4.12 tff(347,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[346, 339])).
% 5.91/4.12 tff(348,plain,
% 5.91/4.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[347, 337])).
% 5.91/4.12 tff(349,plain,
% 5.91/4.12 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(350,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_127')).
% 5.91/4.12 tff(351,plain,
% 5.91/4.12 (nextState(constB127, constB128)),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[350, 349])).
% 5.91/4.12 tff(352,plain,
% 5.91/4.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB127, constB128)) | (~(((~v129(constB128, 2)) <=> v127(constB127, 2)) | ((~v129(constB128, 1)) <=> v127(constB127, 1)) | ((~v129(constB128, 0)) <=> v127(constB127, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB127, constB128)) | (~(((~v129(constB128, 2)) <=> v127(constB127, 2)) | ((~v129(constB128, 1)) <=> v127(constB127, 1)) | ((~v129(constB128, 0)) <=> v127(constB127, 0)))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(353,plain,
% 5.91/4.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB127, constB128)) | (~(((~v129(constB128, 2)) <=> v127(constB127, 2)) | ((~v129(constB128, 1)) <=> v127(constB127, 1)) | ((~v129(constB128, 0)) <=> v127(constB127, 0)))))),
% 5.91/4.12 inference(quant_inst,[status(thm)],[])).
% 5.91/4.12 tff(354,plain,
% 5.91/4.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB127, constB128)) | (~(((~v129(constB128, 2)) <=> v127(constB127, 2)) | ((~v129(constB128, 1)) <=> v127(constB127, 1)) | ((~v129(constB128, 0)) <=> v127(constB127, 0))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[353, 352])).
% 5.91/4.12 tff(355,plain,
% 5.91/4.12 (~(((~v129(constB128, 2)) <=> v127(constB127, 2)) | ((~v129(constB128, 1)) <=> v127(constB127, 1)) | ((~v129(constB128, 0)) <=> v127(constB127, 0)))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[354, 351, 348])).
% 5.91/4.12 tff(356,plain,
% 5.91/4.12 ((((~v129(constB128, 2)) <=> v127(constB127, 2)) | ((~v129(constB128, 1)) <=> v127(constB127, 1)) | ((~v129(constB128, 0)) <=> v127(constB127, 0))) | (~((~v129(constB128, 2)) <=> v127(constB127, 2)))),
% 5.91/4.12 inference(tautology,[status(thm)],[])).
% 5.91/4.12 tff(357,plain,
% 5.91/4.12 (~((~v129(constB128, 2)) <=> v127(constB127, 2))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[356, 355])).
% 5.91/4.12 tff(358,plain,
% 5.91/4.12 (^[VarCurr: state_type] : refl((v111(VarCurr) <=> v26(VarCurr)) <=> (v111(VarCurr) <=> v26(VarCurr)))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(359,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[358])).
% 5.91/4.12 tff(360,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(361,plain,
% 5.91/4.12 (^[VarCurr: state_type] : rewrite((v111(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> (v111(VarCurr) <=> v26(VarCurr)))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(362,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v111(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> ![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[361])).
% 5.91/4.12 tff(363,axiom,(![VarCurr: state_type] : (v111(VarCurr) <=> (v26(VarCurr) <=> $true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_1')).
% 5.91/4.12 tff(364,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[363, 362])).
% 5.91/4.12 tff(365,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[364, 360])).
% 5.91/4.12 tff(366,plain,(
% 5.91/4.12 ![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))),
% 5.91/4.12 inference(skolemize,[status(sab)],[365])).
% 5.91/4.12 tff(367,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[366, 359])).
% 5.91/4.12 tff(368,plain,
% 5.91/4.12 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB127) <=> v26(constB127))),
% 5.91/4.12 inference(quant_inst,[status(thm)],[])).
% 5.91/4.12 tff(369,plain,
% 5.91/4.12 (v111(constB127) <=> v26(constB127)),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[368, 367])).
% 5.91/4.12 tff(370,plain,
% 5.91/4.12 (^[VarCurr: state_type] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(371,plain,
% 5.91/4.12 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[370])).
% 5.91/4.12 tff(372,plain,
% 5.91/4.12 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(373,plain,
% 5.91/4.12 (^[VarCurr: state_type] : rewrite((v26(VarCurr) <=> $false) <=> (~v26(VarCurr)))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(374,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v26(VarCurr) <=> $false) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[373])).
% 5.91/4.12 tff(375,axiom,(![VarCurr: state_type] : (v26(VarCurr) <=> $false)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_1')).
% 5.91/4.12 tff(376,plain,
% 5.91/4.12 (![VarCurr: state_type] : (~v26(VarCurr))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[375, 374])).
% 5.91/4.12 tff(377,plain,
% 5.91/4.12 (![VarCurr: state_type] : (~v26(VarCurr))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[376, 372])).
% 5.91/4.12 tff(378,plain,(
% 5.91/4.12 ![VarCurr: state_type] : (~v26(VarCurr))),
% 5.91/4.12 inference(skolemize,[status(sab)],[377])).
% 5.91/4.12 tff(379,plain,
% 5.91/4.12 (![VarCurr: state_type] : (~v26(VarCurr))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[378, 371])).
% 5.91/4.12 tff(380,plain,
% 5.91/4.12 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB127))),
% 5.91/4.12 inference(quant_inst,[status(thm)],[])).
% 5.91/4.12 tff(381,plain,
% 5.91/4.12 (~v26(constB127)),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[380, 379])).
% 5.91/4.12 tff(382,plain,
% 5.91/4.12 ((~(v111(constB127) <=> v26(constB127))) | (~v111(constB127)) | v26(constB127)),
% 5.91/4.12 inference(tautology,[status(thm)],[])).
% 5.91/4.12 tff(383,plain,
% 5.91/4.12 ((~(v111(constB127) <=> v26(constB127))) | (~v111(constB127))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[382, 381])).
% 5.91/4.12 tff(384,plain,
% 5.91/4.12 (~v111(constB127)),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[383, 369])).
% 5.91/4.12 tff(385,plain,
% 5.91/4.12 (^[VarCurr: state_type] : refl((v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0))))) <=> (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(386,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0))))) <=> ![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[385])).
% 5.91/4.12 tff(387,plain,
% 5.91/4.12 (^[VarCurr: state_type] : rewrite((v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))) <=> (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(388,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[387])).
% 5.91/4.12 tff(389,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(390,plain,
% 5.91/4.12 (^[VarCurr: state_type] : trans(monotonicity(rewrite((((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1))) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))) <=> ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))), (((~v111(VarCurr)) => (((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1))) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))) <=> ((~v111(VarCurr)) => ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))))), rewrite(((~v111(VarCurr)) => ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))) <=> (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))), (((~v111(VarCurr)) => (((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1))) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))) <=> (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(391,plain,
% 5.91/4.12 (![VarCurr: state_type] : ((~v111(VarCurr)) => (((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1))) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[390])).
% 5.91/4.12 tff(392,axiom,(![VarCurr: state_type] : ((~v111(VarCurr)) => (((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1))) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1')).
% 5.91/4.12 tff(393,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[392, 391])).
% 5.91/4.12 tff(394,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[393, 389])).
% 5.91/4.12 tff(395,plain,(
% 5.91/4.12 ![VarCurr: state_type] : (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))),
% 5.91/4.12 inference(skolemize,[status(sab)],[394])).
% 5.91/4.12 tff(396,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[395, 388])).
% 5.91/4.12 tff(397,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[396, 386])).
% 5.91/4.12 tff(398,plain,
% 5.91/4.12 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB127) | (~(((~v127(constB127, 2)) <=> v130(constB127, 2)) | ((~v127(constB127, 1)) <=> v130(constB127, 1)) | ((~v127(constB127, 0)) <=> v130(constB127, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB127) | (~(((~v127(constB127, 2)) <=> v130(constB127, 2)) | ((~v127(constB127, 1)) <=> v130(constB127, 1)) | ((~v127(constB127, 0)) <=> v130(constB127, 0)))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(399,plain,
% 5.91/4.12 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB127) | (~(((~v127(constB127, 2)) <=> v130(constB127, 2)) | ((~v127(constB127, 1)) <=> v130(constB127, 1)) | ((~v127(constB127, 0)) <=> v130(constB127, 0)))))),
% 5.91/4.12 inference(quant_inst,[status(thm)],[])).
% 5.91/4.12 tff(400,plain,
% 5.91/4.12 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB127) | (~(((~v127(constB127, 2)) <=> v130(constB127, 2)) | ((~v127(constB127, 1)) <=> v130(constB127, 1)) | ((~v127(constB127, 0)) <=> v130(constB127, 0))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[399, 398])).
% 5.91/4.12 tff(401,plain,
% 5.91/4.12 (v111(constB127) | (~(((~v127(constB127, 2)) <=> v130(constB127, 2)) | ((~v127(constB127, 1)) <=> v130(constB127, 1)) | ((~v127(constB127, 0)) <=> v130(constB127, 0))))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[400, 397])).
% 5.91/4.12 tff(402,plain,
% 5.91/4.12 (~(((~v127(constB127, 2)) <=> v130(constB127, 2)) | ((~v127(constB127, 1)) <=> v130(constB127, 1)) | ((~v127(constB127, 0)) <=> v130(constB127, 0)))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[401, 384])).
% 5.91/4.12 tff(403,plain,
% 5.91/4.12 ((((~v127(constB127, 2)) <=> v130(constB127, 2)) | ((~v127(constB127, 1)) <=> v130(constB127, 1)) | ((~v127(constB127, 0)) <=> v130(constB127, 0))) | (~((~v127(constB127, 2)) <=> v130(constB127, 2)))),
% 5.91/4.12 inference(tautology,[status(thm)],[])).
% 5.91/4.12 tff(404,plain,
% 5.91/4.12 (~((~v127(constB127, 2)) <=> v130(constB127, 2))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[403, 402])).
% 5.91/4.12 tff(405,plain,
% 5.91/4.12 (^[VarCurr: state_type] : refl((v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0))))) <=> (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(406,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0))))) <=> ![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[405])).
% 5.91/4.12 tff(407,plain,
% 5.91/4.12 (^[VarCurr: state_type] : rewrite((v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))) <=> (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0))))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(408,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))) <=> ![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[407])).
% 5.91/4.12 tff(409,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))) <=> ![VarCurr: state_type] : (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(410,plain,
% 5.91/4.12 (^[VarCurr: state_type] : rewrite((v120(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $true))) <=> (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))))),
% 5.91/4.12 inference(bind,[status(th)],[])).
% 5.91/4.12 tff(411,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v120(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 5.91/4.12 inference(quant_intro,[status(thm)],[410])).
% 5.91/4.12 tff(412,axiom,(![VarCurr: state_type] : (v120(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3')).
% 5.91/4.12 tff(413,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[412, 411])).
% 5.91/4.12 tff(414,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[413, 409])).
% 5.91/4.12 tff(415,plain,(
% 5.91/4.12 ![VarCurr: state_type] : (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 5.91/4.12 inference(skolemize,[status(sab)],[414])).
% 5.91/4.12 tff(416,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[415, 408])).
% 5.91/4.12 tff(417,plain,
% 5.91/4.12 (![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[416, 406])).
% 5.91/4.12 tff(418,plain,
% 5.91/4.12 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB127) <=> (~(v90(constB127, 1) | v90(constB127, 2) | (~v90(constB127, 0)))))),
% 5.91/4.12 inference(quant_inst,[status(thm)],[])).
% 5.91/4.12 tff(419,plain,
% 5.91/4.12 (v120(constB127) <=> (~(v90(constB127, 1) | v90(constB127, 2) | (~v90(constB127, 0))))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[418, 417])).
% 5.91/4.12 tff(420,plain,
% 5.91/4.12 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(421,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_126')).
% 5.91/4.12 tff(422,plain,
% 5.91/4.12 (nextState(constB126, constB127)),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[421, 420])).
% 5.91/4.12 tff(423,plain,
% 5.91/4.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(424,plain,
% 5.91/4.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))))),
% 5.91/4.12 inference(quant_inst,[status(thm)],[])).
% 5.91/4.12 tff(425,plain,
% 5.91/4.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127)))))),
% 5.91/4.12 inference(modus_ponens,[status(thm)],[424, 423])).
% 5.91/4.12 tff(426,plain,
% 5.91/4.12 (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))),
% 5.91/4.12 inference(unit_resolution,[status(thm)],[425, 422, 273])).
% 5.91/4.12 tff(427,plain,
% 5.91/4.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(428,plain,
% 5.91/4.12 (((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127)))))) <=> ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))),
% 5.91/4.12 inference(rewrite,[status(thm)],[])).
% 5.91/4.12 tff(429,plain,
% 5.91/4.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))))),
% 5.91/4.13 inference(monotonicity,[status(thm)],[428])).
% 5.91/4.13 tff(430,plain,
% 5.91/4.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))),
% 5.91/4.13 inference(transitivity,[status(thm)],[429, 427])).
% 5.91/4.13 tff(431,plain,
% 5.91/4.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127))))))),
% 5.91/4.13 inference(quant_inst,[status(thm)],[])).
% 5.91/4.13 tff(432,plain,
% 5.91/4.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[431, 430])).
% 5.91/4.13 tff(433,plain,
% 5.91/4.13 (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[432, 422, 293])).
% 5.91/4.13 tff(434,plain,
% 5.91/4.13 ((~v1(constB127)) <=> (~v1(constB127))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(435,axiom,(~v1(constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_127')).
% 5.91/4.13 tff(436,plain,
% 5.91/4.13 (~v1(constB127)),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[435, 434])).
% 5.91/4.13 tff(437,plain,
% 5.91/4.13 (((~v1(constB127)) | (~v102(constB127))) | v1(constB127)),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(438,plain,
% 5.91/4.13 ((~v1(constB127)) | (~v102(constB127))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[437, 436])).
% 5.91/4.13 tff(439,plain,
% 5.91/4.13 ((~(v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))) | (~v101(constB127)) | (~((~v1(constB127)) | (~v102(constB127))))),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(440,plain,
% 5.91/4.13 ((~(v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))) | (~v101(constB127))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[439, 438])).
% 5.91/4.13 tff(441,plain,
% 5.91/4.13 (~v101(constB127)),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[440, 433])).
% 5.91/4.13 tff(442,plain,
% 5.91/4.13 (((~v101(constB127)) | (~v110(constB127))) | v101(constB127)),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(443,plain,
% 5.91/4.13 ((~v101(constB127)) | (~v110(constB127))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[442, 441])).
% 5.91/4.13 tff(444,plain,
% 5.91/4.13 ((~(v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127)))))) | (~v100(constB127)) | (~((~v101(constB127)) | (~v110(constB127))))),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(445,plain,
% 5.91/4.13 (~v100(constB127)),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[444, 443, 426])).
% 5.91/4.13 tff(446,plain,
% 5.91/4.13 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 0)) <=> v90(constB126, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 0)) <=> v90(constB126, 0)))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(447,plain,
% 5.91/4.13 ((v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 0)) <=> v90(constB126, 0))))) <=> (v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 0)) <=> v90(constB126, 0)))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(448,plain,
% 5.91/4.13 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 0)) <=> v90(constB126, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 0)) <=> v90(constB126, 0))))))),
% 5.91/4.13 inference(monotonicity,[status(thm)],[447])).
% 5.91/4.13 tff(449,plain,
% 5.91/4.13 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 0)) <=> v90(constB126, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 0)) <=> v90(constB126, 0)))))),
% 5.91/4.13 inference(transitivity,[status(thm)],[448, 446])).
% 5.91/4.13 tff(450,plain,
% 5.91/4.13 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 0)) <=> v90(constB126, 0)))))),
% 5.91/4.13 inference(quant_inst,[status(thm)],[])).
% 5.91/4.13 tff(451,plain,
% 5.91/4.13 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 0)) <=> v90(constB126, 0))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[450, 449])).
% 5.91/4.13 tff(452,plain,
% 5.91/4.13 (v100(constB127) | (~(((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 0)) <=> v90(constB126, 0))))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[451, 422, 325])).
% 5.91/4.13 tff(453,plain,
% 5.91/4.13 (~(((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 0)) <=> v90(constB126, 0)))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[452, 445])).
% 5.91/4.13 tff(454,plain,
% 5.91/4.13 ((((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 0)) <=> v90(constB126, 0))) | (~((~v90(constB127, 2)) <=> v90(constB126, 2)))),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(455,plain,
% 5.91/4.13 (~((~v90(constB127, 2)) <=> v90(constB126, 2))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[454, 453])).
% 5.91/4.13 tff(456,plain,
% 5.91/4.13 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(457,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_125')).
% 5.91/4.13 tff(458,plain,
% 5.91/4.13 (nextState(constB125, constB126)),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[457, 456])).
% 5.91/4.13 tff(459,plain,
% 5.91/4.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB125, constB126)) | (~(((~v129(constB126, 2)) <=> v127(constB125, 2)) | ((~v129(constB126, 1)) <=> v127(constB125, 1)) | ((~v129(constB126, 0)) <=> v127(constB125, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB125, constB126)) | (~(((~v129(constB126, 2)) <=> v127(constB125, 2)) | ((~v129(constB126, 1)) <=> v127(constB125, 1)) | ((~v129(constB126, 0)) <=> v127(constB125, 0)))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(460,plain,
% 5.91/4.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB125, constB126)) | (~(((~v129(constB126, 2)) <=> v127(constB125, 2)) | ((~v129(constB126, 1)) <=> v127(constB125, 1)) | ((~v129(constB126, 0)) <=> v127(constB125, 0)))))),
% 5.91/4.13 inference(quant_inst,[status(thm)],[])).
% 5.91/4.13 tff(461,plain,
% 5.91/4.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB125, constB126)) | (~(((~v129(constB126, 2)) <=> v127(constB125, 2)) | ((~v129(constB126, 1)) <=> v127(constB125, 1)) | ((~v129(constB126, 0)) <=> v127(constB125, 0))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[460, 459])).
% 5.91/4.13 tff(462,plain,
% 5.91/4.13 (~(((~v129(constB126, 2)) <=> v127(constB125, 2)) | ((~v129(constB126, 1)) <=> v127(constB125, 1)) | ((~v129(constB126, 0)) <=> v127(constB125, 0)))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[461, 458, 348])).
% 5.91/4.13 tff(463,plain,
% 5.91/4.13 ((((~v129(constB126, 2)) <=> v127(constB125, 2)) | ((~v129(constB126, 1)) <=> v127(constB125, 1)) | ((~v129(constB126, 0)) <=> v127(constB125, 0))) | (~((~v129(constB126, 2)) <=> v127(constB125, 2)))),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(464,plain,
% 5.91/4.13 (~((~v129(constB126, 2)) <=> v127(constB125, 2))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[463, 462])).
% 5.91/4.13 tff(465,plain,
% 5.91/4.13 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB125) <=> v26(constB125))),
% 5.91/4.13 inference(quant_inst,[status(thm)],[])).
% 5.91/4.13 tff(466,plain,
% 5.91/4.13 (v111(constB125) <=> v26(constB125)),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[465, 367])).
% 5.91/4.13 tff(467,plain,
% 5.91/4.13 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB125))),
% 5.91/4.13 inference(quant_inst,[status(thm)],[])).
% 5.91/4.13 tff(468,plain,
% 5.91/4.13 (~v26(constB125)),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[467, 379])).
% 5.91/4.13 tff(469,plain,
% 5.91/4.13 ((~(v111(constB125) <=> v26(constB125))) | (~v111(constB125)) | v26(constB125)),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(470,plain,
% 5.91/4.13 ((~(v111(constB125) <=> v26(constB125))) | (~v111(constB125))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[469, 468])).
% 5.91/4.13 tff(471,plain,
% 5.91/4.13 (~v111(constB125)),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[470, 466])).
% 5.91/4.13 tff(472,plain,
% 5.91/4.13 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB125) | (~(((~v127(constB125, 2)) <=> v130(constB125, 2)) | ((~v127(constB125, 1)) <=> v130(constB125, 1)) | ((~v127(constB125, 0)) <=> v130(constB125, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB125) | (~(((~v127(constB125, 2)) <=> v130(constB125, 2)) | ((~v127(constB125, 1)) <=> v130(constB125, 1)) | ((~v127(constB125, 0)) <=> v130(constB125, 0)))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(473,plain,
% 5.91/4.13 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB125) | (~(((~v127(constB125, 2)) <=> v130(constB125, 2)) | ((~v127(constB125, 1)) <=> v130(constB125, 1)) | ((~v127(constB125, 0)) <=> v130(constB125, 0)))))),
% 5.91/4.13 inference(quant_inst,[status(thm)],[])).
% 5.91/4.13 tff(474,plain,
% 5.91/4.13 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB125) | (~(((~v127(constB125, 2)) <=> v130(constB125, 2)) | ((~v127(constB125, 1)) <=> v130(constB125, 1)) | ((~v127(constB125, 0)) <=> v130(constB125, 0))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[473, 472])).
% 5.91/4.13 tff(475,plain,
% 5.91/4.13 (v111(constB125) | (~(((~v127(constB125, 2)) <=> v130(constB125, 2)) | ((~v127(constB125, 1)) <=> v130(constB125, 1)) | ((~v127(constB125, 0)) <=> v130(constB125, 0))))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[474, 397])).
% 5.91/4.13 tff(476,plain,
% 5.91/4.13 (~(((~v127(constB125, 2)) <=> v130(constB125, 2)) | ((~v127(constB125, 1)) <=> v130(constB125, 1)) | ((~v127(constB125, 0)) <=> v130(constB125, 0)))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[475, 471])).
% 5.91/4.13 tff(477,plain,
% 5.91/4.13 ((((~v127(constB125, 2)) <=> v130(constB125, 2)) | ((~v127(constB125, 1)) <=> v130(constB125, 1)) | ((~v127(constB125, 0)) <=> v130(constB125, 0))) | (~((~v127(constB125, 2)) <=> v130(constB125, 2)))),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(478,plain,
% 5.91/4.13 (~((~v127(constB125, 2)) <=> v130(constB125, 2))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[477, 476])).
% 5.91/4.13 tff(479,plain,
% 5.91/4.13 (^[VarCurr: state_type] : refl((v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)))) <=> (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)))))),
% 5.91/4.13 inference(bind,[status(th)],[])).
% 5.91/4.13 tff(480,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))),
% 5.91/4.13 inference(quant_intro,[status(thm)],[479])).
% 5.91/4.13 tff(481,plain,
% 5.91/4.13 (^[VarCurr: state_type] : rewrite((v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))) <=> (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)))))),
% 5.91/4.13 inference(bind,[status(th)],[])).
% 5.91/4.13 tff(482,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))),
% 5.91/4.13 inference(quant_intro,[status(thm)],[481])).
% 5.91/4.13 tff(483,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(484,plain,
% 5.91/4.13 (^[VarCurr: state_type] : rewrite((v119(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $false))) <=> (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))))),
% 5.91/4.13 inference(bind,[status(th)],[])).
% 5.91/4.13 tff(485,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v119(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 5.91/4.13 inference(quant_intro,[status(thm)],[484])).
% 5.91/4.13 tff(486,axiom,(![VarCurr: state_type] : (v119(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2')).
% 5.91/4.13 tff(487,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[486, 485])).
% 5.91/4.13 tff(488,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[487, 483])).
% 5.91/4.13 tff(489,plain,(
% 5.91/4.13 ![VarCurr: state_type] : (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 5.91/4.13 inference(skolemize,[status(sab)],[488])).
% 5.91/4.13 tff(490,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[489, 482])).
% 5.91/4.13 tff(491,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[490, 480])).
% 5.91/4.13 tff(492,plain,
% 5.91/4.13 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB125) <=> (~(v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2))))),
% 5.91/4.13 inference(quant_inst,[status(thm)],[])).
% 5.91/4.13 tff(493,plain,
% 5.91/4.13 (v119(constB125) <=> (~(v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2)))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[492, 491])).
% 5.91/4.13 tff(494,plain,
% 5.91/4.13 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(495,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_124')).
% 5.91/4.13 tff(496,plain,
% 5.91/4.13 (nextState(constB124, constB125)),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[495, 494])).
% 5.91/4.13 tff(497,plain,
% 5.91/4.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(498,plain,
% 5.91/4.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))))),
% 5.91/4.13 inference(quant_inst,[status(thm)],[])).
% 5.91/4.13 tff(499,plain,
% 5.91/4.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125)))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[498, 497])).
% 5.91/4.13 tff(500,plain,
% 5.91/4.13 (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[499, 496, 273])).
% 5.91/4.13 tff(501,plain,
% 5.91/4.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(502,plain,
% 5.91/4.13 (((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125)))))) <=> ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(503,plain,
% 5.91/4.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))))),
% 5.91/4.13 inference(monotonicity,[status(thm)],[502])).
% 5.91/4.13 tff(504,plain,
% 5.91/4.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))),
% 5.91/4.13 inference(transitivity,[status(thm)],[503, 501])).
% 5.91/4.13 tff(505,plain,
% 5.91/4.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125))))))),
% 5.91/4.13 inference(quant_inst,[status(thm)],[])).
% 5.91/4.13 tff(506,plain,
% 5.91/4.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[505, 504])).
% 5.91/4.13 tff(507,plain,
% 5.91/4.13 (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[506, 496, 293])).
% 5.91/4.13 tff(508,plain,
% 5.91/4.13 ((~v1(constB125)) <=> (~v1(constB125))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(509,axiom,(~v1(constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_125')).
% 5.91/4.13 tff(510,plain,
% 5.91/4.13 (~v1(constB125)),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[509, 508])).
% 5.91/4.13 tff(511,plain,
% 5.91/4.13 (((~v1(constB125)) | (~v102(constB125))) | v1(constB125)),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(512,plain,
% 5.91/4.13 ((~v1(constB125)) | (~v102(constB125))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[511, 510])).
% 5.91/4.13 tff(513,plain,
% 5.91/4.13 ((~(v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))) | (~v101(constB125)) | (~((~v1(constB125)) | (~v102(constB125))))),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(514,plain,
% 5.91/4.13 ((~(v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))) | (~v101(constB125))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[513, 512])).
% 5.91/4.13 tff(515,plain,
% 5.91/4.13 (~v101(constB125)),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[514, 507])).
% 5.91/4.13 tff(516,plain,
% 5.91/4.13 (((~v101(constB125)) | (~v110(constB125))) | v101(constB125)),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(517,plain,
% 5.91/4.13 ((~v101(constB125)) | (~v110(constB125))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[516, 515])).
% 5.91/4.13 tff(518,plain,
% 5.91/4.13 ((~(v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125)))))) | (~v100(constB125)) | (~((~v101(constB125)) | (~v110(constB125))))),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(519,plain,
% 5.91/4.13 (~v100(constB125)),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[518, 517, 500])).
% 5.91/4.13 tff(520,plain,
% 5.91/4.13 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 0)) <=> v90(constB124, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 0)) <=> v90(constB124, 0)))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(521,plain,
% 5.91/4.13 ((v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 0)) <=> v90(constB124, 0))))) <=> (v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 0)) <=> v90(constB124, 0)))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(522,plain,
% 5.91/4.13 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 0)) <=> v90(constB124, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 0)) <=> v90(constB124, 0))))))),
% 5.91/4.13 inference(monotonicity,[status(thm)],[521])).
% 5.91/4.13 tff(523,plain,
% 5.91/4.13 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 0)) <=> v90(constB124, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 0)) <=> v90(constB124, 0)))))),
% 5.91/4.13 inference(transitivity,[status(thm)],[522, 520])).
% 5.91/4.13 tff(524,plain,
% 5.91/4.13 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 0)) <=> v90(constB124, 0)))))),
% 5.91/4.13 inference(quant_inst,[status(thm)],[])).
% 5.91/4.13 tff(525,plain,
% 5.91/4.13 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 0)) <=> v90(constB124, 0))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[524, 523])).
% 5.91/4.13 tff(526,plain,
% 5.91/4.13 (v100(constB125) | (~(((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 0)) <=> v90(constB124, 0))))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[525, 496, 325])).
% 5.91/4.13 tff(527,plain,
% 5.91/4.13 (~(((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 0)) <=> v90(constB124, 0)))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[526, 519])).
% 5.91/4.13 tff(528,plain,
% 5.91/4.13 ((((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 0)) <=> v90(constB124, 0))) | (~((~v90(constB125, 2)) <=> v90(constB124, 2)))),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(529,plain,
% 5.91/4.13 (~((~v90(constB125, 2)) <=> v90(constB124, 2))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[528, 527])).
% 5.91/4.13 tff(530,plain,
% 5.91/4.13 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(531,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_123')).
% 5.91/4.13 tff(532,plain,
% 5.91/4.13 (nextState(constB123, constB124)),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[531, 530])).
% 5.91/4.13 tff(533,plain,
% 5.91/4.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB123, constB124)) | (~(((~v129(constB124, 2)) <=> v127(constB123, 2)) | ((~v129(constB124, 1)) <=> v127(constB123, 1)) | ((~v129(constB124, 0)) <=> v127(constB123, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB123, constB124)) | (~(((~v129(constB124, 2)) <=> v127(constB123, 2)) | ((~v129(constB124, 1)) <=> v127(constB123, 1)) | ((~v129(constB124, 0)) <=> v127(constB123, 0)))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(534,plain,
% 5.91/4.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB123, constB124)) | (~(((~v129(constB124, 2)) <=> v127(constB123, 2)) | ((~v129(constB124, 1)) <=> v127(constB123, 1)) | ((~v129(constB124, 0)) <=> v127(constB123, 0)))))),
% 5.91/4.13 inference(quant_inst,[status(thm)],[])).
% 5.91/4.13 tff(535,plain,
% 5.91/4.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB123, constB124)) | (~(((~v129(constB124, 2)) <=> v127(constB123, 2)) | ((~v129(constB124, 1)) <=> v127(constB123, 1)) | ((~v129(constB124, 0)) <=> v127(constB123, 0))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[534, 533])).
% 5.91/4.13 tff(536,plain,
% 5.91/4.13 (~(((~v129(constB124, 2)) <=> v127(constB123, 2)) | ((~v129(constB124, 1)) <=> v127(constB123, 1)) | ((~v129(constB124, 0)) <=> v127(constB123, 0)))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[535, 532, 348])).
% 5.91/4.13 tff(537,plain,
% 5.91/4.13 ((((~v129(constB124, 2)) <=> v127(constB123, 2)) | ((~v129(constB124, 1)) <=> v127(constB123, 1)) | ((~v129(constB124, 0)) <=> v127(constB123, 0))) | (~((~v129(constB124, 2)) <=> v127(constB123, 2)))),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(538,plain,
% 5.91/4.13 (~((~v129(constB124, 2)) <=> v127(constB123, 2))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[537, 536])).
% 5.91/4.13 tff(539,plain,
% 5.91/4.13 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB123) <=> v26(constB123))),
% 5.91/4.13 inference(quant_inst,[status(thm)],[])).
% 5.91/4.13 tff(540,plain,
% 5.91/4.13 (v111(constB123) <=> v26(constB123)),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[539, 367])).
% 5.91/4.13 tff(541,plain,
% 5.91/4.13 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB123))),
% 5.91/4.13 inference(quant_inst,[status(thm)],[])).
% 5.91/4.13 tff(542,plain,
% 5.91/4.13 (~v26(constB123)),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[541, 379])).
% 5.91/4.13 tff(543,plain,
% 5.91/4.13 ((~(v111(constB123) <=> v26(constB123))) | (~v111(constB123)) | v26(constB123)),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(544,plain,
% 5.91/4.13 ((~(v111(constB123) <=> v26(constB123))) | (~v111(constB123))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[543, 542])).
% 5.91/4.13 tff(545,plain,
% 5.91/4.13 (~v111(constB123)),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[544, 540])).
% 5.91/4.13 tff(546,plain,
% 5.91/4.13 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB123) | (~(((~v127(constB123, 2)) <=> v130(constB123, 2)) | ((~v127(constB123, 1)) <=> v130(constB123, 1)) | ((~v127(constB123, 0)) <=> v130(constB123, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB123) | (~(((~v127(constB123, 2)) <=> v130(constB123, 2)) | ((~v127(constB123, 1)) <=> v130(constB123, 1)) | ((~v127(constB123, 0)) <=> v130(constB123, 0)))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(547,plain,
% 5.91/4.13 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB123) | (~(((~v127(constB123, 2)) <=> v130(constB123, 2)) | ((~v127(constB123, 1)) <=> v130(constB123, 1)) | ((~v127(constB123, 0)) <=> v130(constB123, 0)))))),
% 5.91/4.13 inference(quant_inst,[status(thm)],[])).
% 5.91/4.13 tff(548,plain,
% 5.91/4.13 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB123) | (~(((~v127(constB123, 2)) <=> v130(constB123, 2)) | ((~v127(constB123, 1)) <=> v130(constB123, 1)) | ((~v127(constB123, 0)) <=> v130(constB123, 0))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[547, 546])).
% 5.91/4.13 tff(549,plain,
% 5.91/4.13 (v111(constB123) | (~(((~v127(constB123, 2)) <=> v130(constB123, 2)) | ((~v127(constB123, 1)) <=> v130(constB123, 1)) | ((~v127(constB123, 0)) <=> v130(constB123, 0))))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[548, 397])).
% 5.91/4.13 tff(550,plain,
% 5.91/4.13 (~(((~v127(constB123, 2)) <=> v130(constB123, 2)) | ((~v127(constB123, 1)) <=> v130(constB123, 1)) | ((~v127(constB123, 0)) <=> v130(constB123, 0)))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[549, 545])).
% 5.91/4.13 tff(551,plain,
% 5.91/4.13 ((((~v127(constB123, 2)) <=> v130(constB123, 2)) | ((~v127(constB123, 1)) <=> v130(constB123, 1)) | ((~v127(constB123, 0)) <=> v130(constB123, 0))) | (~((~v127(constB123, 2)) <=> v130(constB123, 2)))),
% 5.91/4.13 inference(tautology,[status(thm)],[])).
% 5.91/4.13 tff(552,plain,
% 5.91/4.13 (~((~v127(constB123, 2)) <=> v130(constB123, 2))),
% 5.91/4.13 inference(unit_resolution,[status(thm)],[551, 550])).
% 5.91/4.13 tff(553,plain,
% 5.91/4.13 (^[VarCurr: state_type] : refl((v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))))) <=> (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))))))),
% 5.91/4.13 inference(bind,[status(th)],[])).
% 5.91/4.13 tff(554,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))))) <=> ![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))),
% 5.91/4.13 inference(quant_intro,[status(thm)],[553])).
% 5.91/4.13 tff(555,plain,
% 5.91/4.13 (^[VarCurr: state_type] : rewrite((v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))) <=> (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))))))),
% 5.91/4.13 inference(bind,[status(th)],[])).
% 5.91/4.13 tff(556,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))),
% 5.91/4.13 inference(quant_intro,[status(thm)],[555])).
% 5.91/4.13 tff(557,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(558,plain,
% 5.91/4.13 (^[VarCurr: state_type] : rewrite((v123(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $false))) <=> (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))))),
% 5.91/4.13 inference(bind,[status(th)],[])).
% 5.91/4.13 tff(559,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v123(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 5.91/4.13 inference(quant_intro,[status(thm)],[558])).
% 5.91/4.13 tff(560,axiom,(![VarCurr: state_type] : (v123(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6')).
% 5.91/4.13 tff(561,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[560, 559])).
% 5.91/4.13 tff(562,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[561, 557])).
% 5.91/4.13 tff(563,plain,(
% 5.91/4.13 ![VarCurr: state_type] : (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 5.91/4.13 inference(skolemize,[status(sab)],[562])).
% 5.91/4.13 tff(564,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[563, 556])).
% 5.91/4.13 tff(565,plain,
% 5.91/4.13 (![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))),
% 5.91/4.13 inference(modus_ponens,[status(thm)],[564, 554])).
% 5.91/4.13 tff(566,plain,
% 5.91/4.13 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB123) <=> (~(v90(constB123, 1) | v90(constB123, 0) | (~v90(constB123, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB123) <=> (~(v90(constB123, 1) | v90(constB123, 0) | (~v90(constB123, 2))))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(567,plain,
% 5.91/4.13 ((v123(constB123) <=> (~(v90(constB123, 0) | v90(constB123, 1) | (~v90(constB123, 2))))) <=> (v123(constB123) <=> (~(v90(constB123, 1) | v90(constB123, 0) | (~v90(constB123, 2)))))),
% 5.91/4.13 inference(rewrite,[status(thm)],[])).
% 5.91/4.13 tff(568,plain,
% 5.91/4.13 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB123) <=> (~(v90(constB123, 0) | v90(constB123, 1) | (~v90(constB123, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB123) <=> (~(v90(constB123, 1) | v90(constB123, 0) | (~v90(constB123, 2))))))),
% 5.91/4.13 inference(monotonicity,[status(thm)],[567])).
% 5.91/4.13 tff(569,plain,
% 5.91/4.13 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB123) <=> (~(v90(constB123, 0) | v90(constB123, 1) | (~v90(constB123, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB123) <=> (~(v90(constB123, 1) | v90(constB123, 0) | (~v90(constB123, 2))))))),
% 5.91/4.13 inference(transitivity,[status(thm)],[568, 566])).
% 5.91/4.13 tff(570,plain,
% 5.91/4.13 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB123) <=> (~(v90(constB123, 0) | v90(constB123, 1) | (~v90(constB123, 2)))))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(571,plain,
% 5.91/4.14 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB123) <=> (~(v90(constB123, 1) | v90(constB123, 0) | (~v90(constB123, 2)))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[570, 569])).
% 5.91/4.14 tff(572,plain,
% 5.91/4.14 (v123(constB123) <=> (~(v90(constB123, 1) | v90(constB123, 0) | (~v90(constB123, 2))))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[571, 565])).
% 5.91/4.14 tff(573,plain,
% 5.91/4.14 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(574,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_122')).
% 5.91/4.14 tff(575,plain,
% 5.91/4.14 (nextState(constB122, constB123)),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[574, 573])).
% 5.91/4.14 tff(576,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(577,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(578,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123)))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[577, 576])).
% 5.91/4.14 tff(579,plain,
% 5.91/4.14 (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[578, 575, 273])).
% 5.91/4.14 tff(580,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(581,plain,
% 5.91/4.14 (((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123)))))) <=> ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(582,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))))),
% 5.91/4.14 inference(monotonicity,[status(thm)],[581])).
% 5.91/4.14 tff(583,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))),
% 5.91/4.14 inference(transitivity,[status(thm)],[582, 580])).
% 5.91/4.14 tff(584,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123))))))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(585,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[584, 583])).
% 5.91/4.14 tff(586,plain,
% 5.91/4.14 (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[585, 575, 293])).
% 5.91/4.14 tff(587,plain,
% 5.91/4.14 ((~v1(constB123)) <=> (~v1(constB123))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(588,axiom,(~v1(constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_123')).
% 5.91/4.14 tff(589,plain,
% 5.91/4.14 (~v1(constB123)),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[588, 587])).
% 5.91/4.14 tff(590,plain,
% 5.91/4.14 (((~v1(constB123)) | (~v102(constB123))) | v1(constB123)),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(591,plain,
% 5.91/4.14 ((~v1(constB123)) | (~v102(constB123))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[590, 589])).
% 5.91/4.14 tff(592,plain,
% 5.91/4.14 ((~(v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))) | (~v101(constB123)) | (~((~v1(constB123)) | (~v102(constB123))))),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(593,plain,
% 5.91/4.14 ((~(v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))) | (~v101(constB123))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[592, 591])).
% 5.91/4.14 tff(594,plain,
% 5.91/4.14 (~v101(constB123)),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[593, 586])).
% 5.91/4.14 tff(595,plain,
% 5.91/4.14 (((~v101(constB123)) | (~v110(constB123))) | v101(constB123)),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(596,plain,
% 5.91/4.14 ((~v101(constB123)) | (~v110(constB123))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[595, 594])).
% 5.91/4.14 tff(597,plain,
% 5.91/4.14 ((~(v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123)))))) | (~v100(constB123)) | (~((~v101(constB123)) | (~v110(constB123))))),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(598,plain,
% 5.91/4.14 (~v100(constB123)),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[597, 596, 579])).
% 5.91/4.14 tff(599,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 0)) <=> v90(constB122, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 0)) <=> v90(constB122, 0)))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(600,plain,
% 5.91/4.14 ((v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 0)) <=> v90(constB122, 0))))) <=> (v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 0)) <=> v90(constB122, 0)))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(601,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 0)) <=> v90(constB122, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 0)) <=> v90(constB122, 0))))))),
% 5.91/4.14 inference(monotonicity,[status(thm)],[600])).
% 5.91/4.14 tff(602,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 0)) <=> v90(constB122, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 0)) <=> v90(constB122, 0)))))),
% 5.91/4.14 inference(transitivity,[status(thm)],[601, 599])).
% 5.91/4.14 tff(603,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 0)) <=> v90(constB122, 0)))))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(604,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 0)) <=> v90(constB122, 0))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[603, 602])).
% 5.91/4.14 tff(605,plain,
% 5.91/4.14 (v100(constB123) | (~(((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 0)) <=> v90(constB122, 0))))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[604, 575, 325])).
% 5.91/4.14 tff(606,plain,
% 5.91/4.14 (~(((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 0)) <=> v90(constB122, 0)))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[605, 598])).
% 5.91/4.14 tff(607,plain,
% 5.91/4.14 ((((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 0)) <=> v90(constB122, 0))) | (~((~v90(constB123, 2)) <=> v90(constB122, 2)))),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(608,plain,
% 5.91/4.14 (~((~v90(constB123, 2)) <=> v90(constB122, 2))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[607, 606])).
% 5.91/4.14 tff(609,plain,
% 5.91/4.14 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(610,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_121')).
% 5.91/4.14 tff(611,plain,
% 5.91/4.14 (nextState(constB121, constB122)),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[610, 609])).
% 5.91/4.14 tff(612,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB121, constB122)) | (~(((~v129(constB122, 2)) <=> v127(constB121, 2)) | ((~v129(constB122, 1)) <=> v127(constB121, 1)) | ((~v129(constB122, 0)) <=> v127(constB121, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB121, constB122)) | (~(((~v129(constB122, 2)) <=> v127(constB121, 2)) | ((~v129(constB122, 1)) <=> v127(constB121, 1)) | ((~v129(constB122, 0)) <=> v127(constB121, 0)))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(613,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB121, constB122)) | (~(((~v129(constB122, 2)) <=> v127(constB121, 2)) | ((~v129(constB122, 1)) <=> v127(constB121, 1)) | ((~v129(constB122, 0)) <=> v127(constB121, 0)))))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(614,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB121, constB122)) | (~(((~v129(constB122, 2)) <=> v127(constB121, 2)) | ((~v129(constB122, 1)) <=> v127(constB121, 1)) | ((~v129(constB122, 0)) <=> v127(constB121, 0))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[613, 612])).
% 5.91/4.14 tff(615,plain,
% 5.91/4.14 (~(((~v129(constB122, 2)) <=> v127(constB121, 2)) | ((~v129(constB122, 1)) <=> v127(constB121, 1)) | ((~v129(constB122, 0)) <=> v127(constB121, 0)))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[614, 611, 348])).
% 5.91/4.14 tff(616,plain,
% 5.91/4.14 ((((~v129(constB122, 2)) <=> v127(constB121, 2)) | ((~v129(constB122, 1)) <=> v127(constB121, 1)) | ((~v129(constB122, 0)) <=> v127(constB121, 0))) | (~((~v129(constB122, 2)) <=> v127(constB121, 2)))),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(617,plain,
% 5.91/4.14 (~((~v129(constB122, 2)) <=> v127(constB121, 2))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[616, 615])).
% 5.91/4.14 tff(618,plain,
% 5.91/4.14 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB121) <=> v26(constB121))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(619,plain,
% 5.91/4.14 (v111(constB121) <=> v26(constB121)),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[618, 367])).
% 5.91/4.14 tff(620,plain,
% 5.91/4.14 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB121))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(621,plain,
% 5.91/4.14 (~v26(constB121)),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[620, 379])).
% 5.91/4.14 tff(622,plain,
% 5.91/4.14 ((~(v111(constB121) <=> v26(constB121))) | (~v111(constB121)) | v26(constB121)),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(623,plain,
% 5.91/4.14 ((~(v111(constB121) <=> v26(constB121))) | (~v111(constB121))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[622, 621])).
% 5.91/4.14 tff(624,plain,
% 5.91/4.14 (~v111(constB121)),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[623, 619])).
% 5.91/4.14 tff(625,plain,
% 5.91/4.14 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB121) | (~(((~v127(constB121, 2)) <=> v130(constB121, 2)) | ((~v127(constB121, 1)) <=> v130(constB121, 1)) | ((~v127(constB121, 0)) <=> v130(constB121, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB121) | (~(((~v127(constB121, 2)) <=> v130(constB121, 2)) | ((~v127(constB121, 1)) <=> v130(constB121, 1)) | ((~v127(constB121, 0)) <=> v130(constB121, 0)))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(626,plain,
% 5.91/4.14 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB121) | (~(((~v127(constB121, 2)) <=> v130(constB121, 2)) | ((~v127(constB121, 1)) <=> v130(constB121, 1)) | ((~v127(constB121, 0)) <=> v130(constB121, 0)))))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(627,plain,
% 5.91/4.14 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB121) | (~(((~v127(constB121, 2)) <=> v130(constB121, 2)) | ((~v127(constB121, 1)) <=> v130(constB121, 1)) | ((~v127(constB121, 0)) <=> v130(constB121, 0))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[626, 625])).
% 5.91/4.14 tff(628,plain,
% 5.91/4.14 (v111(constB121) | (~(((~v127(constB121, 2)) <=> v130(constB121, 2)) | ((~v127(constB121, 1)) <=> v130(constB121, 1)) | ((~v127(constB121, 0)) <=> v130(constB121, 0))))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[627, 397])).
% 5.91/4.14 tff(629,plain,
% 5.91/4.14 (~(((~v127(constB121, 2)) <=> v130(constB121, 2)) | ((~v127(constB121, 1)) <=> v130(constB121, 1)) | ((~v127(constB121, 0)) <=> v130(constB121, 0)))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[628, 624])).
% 5.91/4.14 tff(630,plain,
% 5.91/4.14 ((((~v127(constB121, 2)) <=> v130(constB121, 2)) | ((~v127(constB121, 1)) <=> v130(constB121, 1)) | ((~v127(constB121, 0)) <=> v130(constB121, 0))) | (~((~v127(constB121, 2)) <=> v130(constB121, 2)))),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(631,plain,
% 5.91/4.14 (~((~v127(constB121, 2)) <=> v130(constB121, 2))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[630, 629])).
% 5.91/4.14 tff(632,plain,
% 5.91/4.14 (^[VarCurr: state_type] : refl((v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1))))) <=> (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1))))))),
% 5.91/4.14 inference(bind,[status(th)],[])).
% 5.91/4.14 tff(633,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1))))) <=> ![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))),
% 5.91/4.14 inference(quant_intro,[status(thm)],[632])).
% 5.91/4.14 tff(634,plain,
% 5.91/4.14 (^[VarCurr: state_type] : rewrite((v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0))) <=> (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1))))))),
% 5.91/4.14 inference(bind,[status(th)],[])).
% 5.91/4.14 tff(635,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0))) <=> ![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))),
% 5.91/4.14 inference(quant_intro,[status(thm)],[634])).
% 5.91/4.14 tff(636,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0))) <=> ![VarCurr: state_type] : (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0)))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(637,plain,
% 5.91/4.14 (^[VarCurr: state_type] : rewrite((v122(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $true))) <=> (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0))))),
% 5.91/4.14 inference(bind,[status(th)],[])).
% 5.91/4.14 tff(638,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v122(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0)))),
% 5.91/4.14 inference(quant_intro,[status(thm)],[637])).
% 5.91/4.14 tff(639,axiom,(![VarCurr: state_type] : (v122(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5')).
% 5.91/4.14 tff(640,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0)))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[639, 638])).
% 5.91/4.14 tff(641,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0)))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[640, 636])).
% 5.91/4.14 tff(642,plain,(
% 5.91/4.14 ![VarCurr: state_type] : (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0)))),
% 5.91/4.14 inference(skolemize,[status(sab)],[641])).
% 5.91/4.14 tff(643,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[642, 635])).
% 5.91/4.14 tff(644,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[643, 633])).
% 5.91/4.14 tff(645,plain,
% 5.91/4.14 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB121) <=> (~(v90(constB121, 2) | (~v90(constB121, 1)) | (~v90(constB121, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB121) <=> (~(v90(constB121, 2) | (~v90(constB121, 1)) | (~v90(constB121, 0))))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(646,plain,
% 5.91/4.14 ((v122(constB121) <=> (~(v90(constB121, 2) | (~v90(constB121, 0)) | (~v90(constB121, 1))))) <=> (v122(constB121) <=> (~(v90(constB121, 2) | (~v90(constB121, 1)) | (~v90(constB121, 0)))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(647,plain,
% 5.91/4.14 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB121) <=> (~(v90(constB121, 2) | (~v90(constB121, 0)) | (~v90(constB121, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB121) <=> (~(v90(constB121, 2) | (~v90(constB121, 1)) | (~v90(constB121, 0))))))),
% 5.91/4.14 inference(monotonicity,[status(thm)],[646])).
% 5.91/4.14 tff(648,plain,
% 5.91/4.14 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB121) <=> (~(v90(constB121, 2) | (~v90(constB121, 0)) | (~v90(constB121, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB121) <=> (~(v90(constB121, 2) | (~v90(constB121, 1)) | (~v90(constB121, 0))))))),
% 5.91/4.14 inference(transitivity,[status(thm)],[647, 645])).
% 5.91/4.14 tff(649,plain,
% 5.91/4.14 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB121) <=> (~(v90(constB121, 2) | (~v90(constB121, 0)) | (~v90(constB121, 1)))))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(650,plain,
% 5.91/4.14 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB121) <=> (~(v90(constB121, 2) | (~v90(constB121, 1)) | (~v90(constB121, 0)))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[649, 648])).
% 5.91/4.14 tff(651,plain,
% 5.91/4.14 (v122(constB121) <=> (~(v90(constB121, 2) | (~v90(constB121, 1)) | (~v90(constB121, 0))))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[650, 644])).
% 5.91/4.14 tff(652,plain,
% 5.91/4.14 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(653,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_120')).
% 5.91/4.14 tff(654,plain,
% 5.91/4.14 (nextState(constB120, constB121)),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[653, 652])).
% 5.91/4.14 tff(655,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(656,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(657,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121)))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[656, 655])).
% 5.91/4.14 tff(658,plain,
% 5.91/4.14 (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[657, 654, 273])).
% 5.91/4.14 tff(659,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(660,plain,
% 5.91/4.14 (((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121)))))) <=> ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(661,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))))),
% 5.91/4.14 inference(monotonicity,[status(thm)],[660])).
% 5.91/4.14 tff(662,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))),
% 5.91/4.14 inference(transitivity,[status(thm)],[661, 659])).
% 5.91/4.14 tff(663,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121))))))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(664,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[663, 662])).
% 5.91/4.14 tff(665,plain,
% 5.91/4.14 (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[664, 654, 293])).
% 5.91/4.14 tff(666,plain,
% 5.91/4.14 ((~v1(constB121)) <=> (~v1(constB121))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(667,axiom,(~v1(constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_121')).
% 5.91/4.14 tff(668,plain,
% 5.91/4.14 (~v1(constB121)),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[667, 666])).
% 5.91/4.14 tff(669,plain,
% 5.91/4.14 (((~v1(constB121)) | (~v102(constB121))) | v1(constB121)),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(670,plain,
% 5.91/4.14 ((~v1(constB121)) | (~v102(constB121))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[669, 668])).
% 5.91/4.14 tff(671,plain,
% 5.91/4.14 ((~(v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))) | (~v101(constB121)) | (~((~v1(constB121)) | (~v102(constB121))))),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(672,plain,
% 5.91/4.14 ((~(v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))) | (~v101(constB121))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[671, 670])).
% 5.91/4.14 tff(673,plain,
% 5.91/4.14 (~v101(constB121)),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[672, 665])).
% 5.91/4.14 tff(674,plain,
% 5.91/4.14 (((~v101(constB121)) | (~v110(constB121))) | v101(constB121)),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(675,plain,
% 5.91/4.14 ((~v101(constB121)) | (~v110(constB121))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[674, 673])).
% 5.91/4.14 tff(676,plain,
% 5.91/4.14 ((~(v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121)))))) | (~v100(constB121)) | (~((~v101(constB121)) | (~v110(constB121))))),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(677,plain,
% 5.91/4.14 (~v100(constB121)),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[676, 675, 658])).
% 5.91/4.14 tff(678,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 0)) <=> v90(constB120, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 0)) <=> v90(constB120, 0)))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(679,plain,
% 5.91/4.14 ((v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 0)) <=> v90(constB120, 0))))) <=> (v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 0)) <=> v90(constB120, 0)))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(680,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 0)) <=> v90(constB120, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 0)) <=> v90(constB120, 0))))))),
% 5.91/4.14 inference(monotonicity,[status(thm)],[679])).
% 5.91/4.14 tff(681,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 0)) <=> v90(constB120, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 0)) <=> v90(constB120, 0)))))),
% 5.91/4.14 inference(transitivity,[status(thm)],[680, 678])).
% 5.91/4.14 tff(682,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 0)) <=> v90(constB120, 0)))))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(683,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 0)) <=> v90(constB120, 0))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[682, 681])).
% 5.91/4.14 tff(684,plain,
% 5.91/4.14 (v100(constB121) | (~(((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 0)) <=> v90(constB120, 0))))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[683, 654, 325])).
% 5.91/4.14 tff(685,plain,
% 5.91/4.14 (~(((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 0)) <=> v90(constB120, 0)))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[684, 677])).
% 5.91/4.14 tff(686,plain,
% 5.91/4.14 ((((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 0)) <=> v90(constB120, 0))) | (~((~v90(constB121, 2)) <=> v90(constB120, 2)))),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(687,plain,
% 5.91/4.14 (~((~v90(constB121, 2)) <=> v90(constB120, 2))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[686, 685])).
% 5.91/4.14 tff(688,plain,
% 5.91/4.14 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(689,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_119')).
% 5.91/4.14 tff(690,plain,
% 5.91/4.14 (nextState(constB119, constB120)),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[689, 688])).
% 5.91/4.14 tff(691,plain,
% 5.91/4.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB119, constB120)) | (~(((~v129(constB120, 2)) <=> v127(constB119, 2)) | ((~v129(constB120, 1)) <=> v127(constB119, 1)) | ((~v129(constB120, 0)) <=> v127(constB119, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB119, constB120)) | (~(((~v129(constB120, 2)) <=> v127(constB119, 2)) | ((~v129(constB120, 1)) <=> v127(constB119, 1)) | ((~v129(constB120, 0)) <=> v127(constB119, 0)))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(692,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB119, constB120)) | (~(((~v129(constB120, 2)) <=> v127(constB119, 2)) | ((~v129(constB120, 1)) <=> v127(constB119, 1)) | ((~v129(constB120, 0)) <=> v127(constB119, 0)))))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(693,plain,
% 5.91/4.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB119, constB120)) | (~(((~v129(constB120, 2)) <=> v127(constB119, 2)) | ((~v129(constB120, 1)) <=> v127(constB119, 1)) | ((~v129(constB120, 0)) <=> v127(constB119, 0))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[692, 691])).
% 5.91/4.14 tff(694,plain,
% 5.91/4.14 (~(((~v129(constB120, 2)) <=> v127(constB119, 2)) | ((~v129(constB120, 1)) <=> v127(constB119, 1)) | ((~v129(constB120, 0)) <=> v127(constB119, 0)))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[693, 690, 348])).
% 5.91/4.14 tff(695,plain,
% 5.91/4.14 ((((~v129(constB120, 2)) <=> v127(constB119, 2)) | ((~v129(constB120, 1)) <=> v127(constB119, 1)) | ((~v129(constB120, 0)) <=> v127(constB119, 0))) | (~((~v129(constB120, 2)) <=> v127(constB119, 2)))),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(696,plain,
% 5.91/4.14 (~((~v129(constB120, 2)) <=> v127(constB119, 2))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[695, 694])).
% 5.91/4.14 tff(697,plain,
% 5.91/4.14 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB119) <=> v26(constB119))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(698,plain,
% 5.91/4.14 (v111(constB119) <=> v26(constB119)),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[697, 367])).
% 5.91/4.14 tff(699,plain,
% 5.91/4.14 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB119))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(700,plain,
% 5.91/4.14 (~v26(constB119)),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[699, 379])).
% 5.91/4.14 tff(701,plain,
% 5.91/4.14 ((~(v111(constB119) <=> v26(constB119))) | (~v111(constB119)) | v26(constB119)),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(702,plain,
% 5.91/4.14 ((~(v111(constB119) <=> v26(constB119))) | (~v111(constB119))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[701, 700])).
% 5.91/4.14 tff(703,plain,
% 5.91/4.14 (~v111(constB119)),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[702, 698])).
% 5.91/4.14 tff(704,plain,
% 5.91/4.14 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB119) | (~(((~v127(constB119, 2)) <=> v130(constB119, 2)) | ((~v127(constB119, 1)) <=> v130(constB119, 1)) | ((~v127(constB119, 0)) <=> v130(constB119, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB119) | (~(((~v127(constB119, 2)) <=> v130(constB119, 2)) | ((~v127(constB119, 1)) <=> v130(constB119, 1)) | ((~v127(constB119, 0)) <=> v130(constB119, 0)))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(705,plain,
% 5.91/4.14 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB119) | (~(((~v127(constB119, 2)) <=> v130(constB119, 2)) | ((~v127(constB119, 1)) <=> v130(constB119, 1)) | ((~v127(constB119, 0)) <=> v130(constB119, 0)))))),
% 5.91/4.14 inference(quant_inst,[status(thm)],[])).
% 5.91/4.14 tff(706,plain,
% 5.91/4.14 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB119) | (~(((~v127(constB119, 2)) <=> v130(constB119, 2)) | ((~v127(constB119, 1)) <=> v130(constB119, 1)) | ((~v127(constB119, 0)) <=> v130(constB119, 0))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[705, 704])).
% 5.91/4.14 tff(707,plain,
% 5.91/4.14 (v111(constB119) | (~(((~v127(constB119, 2)) <=> v130(constB119, 2)) | ((~v127(constB119, 1)) <=> v130(constB119, 1)) | ((~v127(constB119, 0)) <=> v130(constB119, 0))))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[706, 397])).
% 5.91/4.14 tff(708,plain,
% 5.91/4.14 (~(((~v127(constB119, 2)) <=> v130(constB119, 2)) | ((~v127(constB119, 1)) <=> v130(constB119, 1)) | ((~v127(constB119, 0)) <=> v130(constB119, 0)))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[707, 703])).
% 5.91/4.14 tff(709,plain,
% 5.91/4.14 ((((~v127(constB119, 2)) <=> v130(constB119, 2)) | ((~v127(constB119, 1)) <=> v130(constB119, 1)) | ((~v127(constB119, 0)) <=> v130(constB119, 0))) | (~((~v127(constB119, 2)) <=> v130(constB119, 2)))),
% 5.91/4.14 inference(tautology,[status(thm)],[])).
% 5.91/4.14 tff(710,plain,
% 5.91/4.14 (~((~v127(constB119, 2)) <=> v130(constB119, 2))),
% 5.91/4.14 inference(unit_resolution,[status(thm)],[709, 708])).
% 5.91/4.14 tff(711,plain,
% 5.91/4.14 (^[VarCurr: state_type] : refl((v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1))))) <=> (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1))))))),
% 5.91/4.14 inference(bind,[status(th)],[])).
% 5.91/4.14 tff(712,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1))))) <=> ![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))),
% 5.91/4.14 inference(quant_intro,[status(thm)],[711])).
% 5.91/4.14 tff(713,plain,
% 5.91/4.14 (^[VarCurr: state_type] : rewrite((v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0)))) <=> (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1))))))),
% 5.91/4.14 inference(bind,[status(th)],[])).
% 5.91/4.14 tff(714,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))),
% 5.91/4.14 inference(quant_intro,[status(thm)],[713])).
% 5.91/4.14 tff(715,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(716,plain,
% 5.91/4.14 (^[VarCurr: state_type] : rewrite((v121(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $false))) <=> (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0)))))),
% 5.91/4.14 inference(bind,[status(th)],[])).
% 5.91/4.14 tff(717,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v121(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 5.91/4.14 inference(quant_intro,[status(thm)],[716])).
% 5.91/4.14 tff(718,axiom,(![VarCurr: state_type] : (v121(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4')).
% 5.91/4.14 tff(719,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[718, 717])).
% 5.91/4.14 tff(720,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[719, 715])).
% 5.91/4.14 tff(721,plain,(
% 5.91/4.14 ![VarCurr: state_type] : (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 5.91/4.14 inference(skolemize,[status(sab)],[720])).
% 5.91/4.14 tff(722,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[721, 714])).
% 5.91/4.14 tff(723,plain,
% 5.91/4.14 (![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))),
% 5.91/4.14 inference(modus_ponens,[status(thm)],[722, 712])).
% 5.91/4.14 tff(724,plain,
% 5.91/4.14 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB119) <=> (~(v90(constB119, 2) | v90(constB119, 0) | (~v90(constB119, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB119) <=> (~(v90(constB119, 2) | v90(constB119, 0) | (~v90(constB119, 1))))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(725,plain,
% 5.91/4.14 ((v121(constB119) <=> (~(v90(constB119, 0) | v90(constB119, 2) | (~v90(constB119, 1))))) <=> (v121(constB119) <=> (~(v90(constB119, 2) | v90(constB119, 0) | (~v90(constB119, 1)))))),
% 5.91/4.14 inference(rewrite,[status(thm)],[])).
% 5.91/4.14 tff(726,plain,
% 5.91/4.14 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB119) <=> (~(v90(constB119, 0) | v90(constB119, 2) | (~v90(constB119, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB119) <=> (~(v90(constB119, 2) | v90(constB119, 0) | (~v90(constB119, 1))))))),
% 5.91/4.15 inference(monotonicity,[status(thm)],[725])).
% 5.91/4.15 tff(727,plain,
% 5.91/4.15 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB119) <=> (~(v90(constB119, 0) | v90(constB119, 2) | (~v90(constB119, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB119) <=> (~(v90(constB119, 2) | v90(constB119, 0) | (~v90(constB119, 1))))))),
% 5.91/4.15 inference(transitivity,[status(thm)],[726, 724])).
% 5.91/4.15 tff(728,plain,
% 5.91/4.15 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB119) <=> (~(v90(constB119, 0) | v90(constB119, 2) | (~v90(constB119, 1)))))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(729,plain,
% 5.91/4.15 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB119) <=> (~(v90(constB119, 2) | v90(constB119, 0) | (~v90(constB119, 1)))))),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[728, 727])).
% 5.91/4.15 tff(730,plain,
% 5.91/4.15 (v121(constB119) <=> (~(v90(constB119, 2) | v90(constB119, 0) | (~v90(constB119, 1))))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[729, 723])).
% 5.91/4.15 tff(731,plain,
% 5.91/4.15 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(732,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_118')).
% 5.91/4.15 tff(733,plain,
% 5.91/4.15 (nextState(constB118, constB119)),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[732, 731])).
% 5.91/4.15 tff(734,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(735,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(736,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119)))))),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[735, 734])).
% 5.91/4.15 tff(737,plain,
% 5.91/4.15 (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[736, 733, 273])).
% 5.91/4.15 tff(738,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(739,plain,
% 5.91/4.15 (((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119)))))) <=> ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(740,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))))),
% 5.91/4.15 inference(monotonicity,[status(thm)],[739])).
% 5.91/4.15 tff(741,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))),
% 5.91/4.15 inference(transitivity,[status(thm)],[740, 738])).
% 5.91/4.15 tff(742,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119))))))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(743,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[742, 741])).
% 5.91/4.15 tff(744,plain,
% 5.91/4.15 (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[743, 733, 293])).
% 5.91/4.15 tff(745,plain,
% 5.91/4.15 ((~v1(constB119)) <=> (~v1(constB119))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(746,axiom,(~v1(constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_119')).
% 5.91/4.15 tff(747,plain,
% 5.91/4.15 (~v1(constB119)),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[746, 745])).
% 5.91/4.15 tff(748,plain,
% 5.91/4.15 (((~v1(constB119)) | (~v102(constB119))) | v1(constB119)),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(749,plain,
% 5.91/4.15 ((~v1(constB119)) | (~v102(constB119))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[748, 747])).
% 5.91/4.15 tff(750,plain,
% 5.91/4.15 ((~(v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))) | (~v101(constB119)) | (~((~v1(constB119)) | (~v102(constB119))))),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(751,plain,
% 5.91/4.15 ((~(v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))) | (~v101(constB119))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[750, 749])).
% 5.91/4.15 tff(752,plain,
% 5.91/4.15 (~v101(constB119)),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[751, 744])).
% 5.91/4.15 tff(753,plain,
% 5.91/4.15 (((~v101(constB119)) | (~v110(constB119))) | v101(constB119)),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(754,plain,
% 5.91/4.15 ((~v101(constB119)) | (~v110(constB119))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[753, 752])).
% 5.91/4.15 tff(755,plain,
% 5.91/4.15 ((~(v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119)))))) | (~v100(constB119)) | (~((~v101(constB119)) | (~v110(constB119))))),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(756,plain,
% 5.91/4.15 (~v100(constB119)),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[755, 754, 737])).
% 5.91/4.15 tff(757,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 0)) <=> v90(constB118, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 0)) <=> v90(constB118, 0)))))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(758,plain,
% 5.91/4.15 ((v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 0)) <=> v90(constB118, 0))))) <=> (v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 0)) <=> v90(constB118, 0)))))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(759,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 0)) <=> v90(constB118, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 0)) <=> v90(constB118, 0))))))),
% 5.91/4.15 inference(monotonicity,[status(thm)],[758])).
% 5.91/4.15 tff(760,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 0)) <=> v90(constB118, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 0)) <=> v90(constB118, 0)))))),
% 5.91/4.15 inference(transitivity,[status(thm)],[759, 757])).
% 5.91/4.15 tff(761,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 0)) <=> v90(constB118, 0)))))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(762,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 0)) <=> v90(constB118, 0))))),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[761, 760])).
% 5.91/4.15 tff(763,plain,
% 5.91/4.15 (v100(constB119) | (~(((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 0)) <=> v90(constB118, 0))))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[762, 733, 325])).
% 5.91/4.15 tff(764,plain,
% 5.91/4.15 (~(((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 0)) <=> v90(constB118, 0)))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[763, 756])).
% 5.91/4.15 tff(765,plain,
% 5.91/4.15 ((((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 0)) <=> v90(constB118, 0))) | (~((~v90(constB119, 2)) <=> v90(constB118, 2)))),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(766,plain,
% 5.91/4.15 (~((~v90(constB119, 2)) <=> v90(constB118, 2))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[765, 764])).
% 5.91/4.15 tff(767,plain,
% 5.91/4.15 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(768,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_117')).
% 5.91/4.15 tff(769,plain,
% 5.91/4.15 (nextState(constB117, constB118)),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[768, 767])).
% 5.91/4.15 tff(770,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB117, constB118)) | (~(((~v129(constB118, 2)) <=> v127(constB117, 2)) | ((~v129(constB118, 1)) <=> v127(constB117, 1)) | ((~v129(constB118, 0)) <=> v127(constB117, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB117, constB118)) | (~(((~v129(constB118, 2)) <=> v127(constB117, 2)) | ((~v129(constB118, 1)) <=> v127(constB117, 1)) | ((~v129(constB118, 0)) <=> v127(constB117, 0)))))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(771,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB117, constB118)) | (~(((~v129(constB118, 2)) <=> v127(constB117, 2)) | ((~v129(constB118, 1)) <=> v127(constB117, 1)) | ((~v129(constB118, 0)) <=> v127(constB117, 0)))))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(772,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB117, constB118)) | (~(((~v129(constB118, 2)) <=> v127(constB117, 2)) | ((~v129(constB118, 1)) <=> v127(constB117, 1)) | ((~v129(constB118, 0)) <=> v127(constB117, 0))))),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[771, 770])).
% 5.91/4.15 tff(773,plain,
% 5.91/4.15 (~(((~v129(constB118, 2)) <=> v127(constB117, 2)) | ((~v129(constB118, 1)) <=> v127(constB117, 1)) | ((~v129(constB118, 0)) <=> v127(constB117, 0)))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[772, 769, 348])).
% 5.91/4.15 tff(774,plain,
% 5.91/4.15 ((((~v129(constB118, 2)) <=> v127(constB117, 2)) | ((~v129(constB118, 1)) <=> v127(constB117, 1)) | ((~v129(constB118, 0)) <=> v127(constB117, 0))) | (~((~v129(constB118, 2)) <=> v127(constB117, 2)))),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(775,plain,
% 5.91/4.15 (~((~v129(constB118, 2)) <=> v127(constB117, 2))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[774, 773])).
% 5.91/4.15 tff(776,plain,
% 5.91/4.15 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB117) <=> v26(constB117))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(777,plain,
% 5.91/4.15 (v111(constB117) <=> v26(constB117)),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[776, 367])).
% 5.91/4.15 tff(778,plain,
% 5.91/4.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB117))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(779,plain,
% 5.91/4.15 (~v26(constB117)),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[778, 379])).
% 5.91/4.15 tff(780,plain,
% 5.91/4.15 ((~(v111(constB117) <=> v26(constB117))) | (~v111(constB117)) | v26(constB117)),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(781,plain,
% 5.91/4.15 ((~(v111(constB117) <=> v26(constB117))) | (~v111(constB117))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[780, 779])).
% 5.91/4.15 tff(782,plain,
% 5.91/4.15 (~v111(constB117)),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[781, 777])).
% 5.91/4.15 tff(783,plain,
% 5.91/4.15 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB117) | (~(((~v127(constB117, 2)) <=> v130(constB117, 2)) | ((~v127(constB117, 1)) <=> v130(constB117, 1)) | ((~v127(constB117, 0)) <=> v130(constB117, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB117) | (~(((~v127(constB117, 2)) <=> v130(constB117, 2)) | ((~v127(constB117, 1)) <=> v130(constB117, 1)) | ((~v127(constB117, 0)) <=> v130(constB117, 0)))))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(784,plain,
% 5.91/4.15 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB117) | (~(((~v127(constB117, 2)) <=> v130(constB117, 2)) | ((~v127(constB117, 1)) <=> v130(constB117, 1)) | ((~v127(constB117, 0)) <=> v130(constB117, 0)))))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(785,plain,
% 5.91/4.15 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB117) | (~(((~v127(constB117, 2)) <=> v130(constB117, 2)) | ((~v127(constB117, 1)) <=> v130(constB117, 1)) | ((~v127(constB117, 0)) <=> v130(constB117, 0))))),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[784, 783])).
% 5.91/4.15 tff(786,plain,
% 5.91/4.15 (v111(constB117) | (~(((~v127(constB117, 2)) <=> v130(constB117, 2)) | ((~v127(constB117, 1)) <=> v130(constB117, 1)) | ((~v127(constB117, 0)) <=> v130(constB117, 0))))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[785, 397])).
% 5.91/4.15 tff(787,plain,
% 5.91/4.15 (~(((~v127(constB117, 2)) <=> v130(constB117, 2)) | ((~v127(constB117, 1)) <=> v130(constB117, 1)) | ((~v127(constB117, 0)) <=> v130(constB117, 0)))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[786, 782])).
% 5.91/4.15 tff(788,plain,
% 5.91/4.15 ((((~v127(constB117, 2)) <=> v130(constB117, 2)) | ((~v127(constB117, 1)) <=> v130(constB117, 1)) | ((~v127(constB117, 0)) <=> v130(constB117, 0))) | (~((~v127(constB117, 2)) <=> v130(constB117, 2)))),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(789,plain,
% 5.91/4.15 (~((~v127(constB117, 2)) <=> v130(constB117, 2))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[788, 787])).
% 5.91/4.15 tff(790,plain,
% 5.91/4.15 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB117) <=> (~(v90(constB117, 1) | v90(constB117, 2) | (~v90(constB117, 0)))))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(791,plain,
% 5.91/4.15 (v120(constB117) <=> (~(v90(constB117, 1) | v90(constB117, 2) | (~v90(constB117, 0))))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[790, 417])).
% 5.91/4.15 tff(792,plain,
% 5.91/4.15 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(793,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_116')).
% 5.91/4.15 tff(794,plain,
% 5.91/4.15 (nextState(constB116, constB117)),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[793, 792])).
% 5.91/4.15 tff(795,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(796,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(797,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117)))))),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[796, 795])).
% 5.91/4.15 tff(798,plain,
% 5.91/4.15 (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[797, 794, 273])).
% 5.91/4.15 tff(799,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(800,plain,
% 5.91/4.15 (((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117)))))) <=> ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(801,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))))),
% 5.91/4.15 inference(monotonicity,[status(thm)],[800])).
% 5.91/4.15 tff(802,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))),
% 5.91/4.15 inference(transitivity,[status(thm)],[801, 799])).
% 5.91/4.15 tff(803,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117))))))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(804,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[803, 802])).
% 5.91/4.15 tff(805,plain,
% 5.91/4.15 (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[804, 794, 293])).
% 5.91/4.15 tff(806,plain,
% 5.91/4.15 ((~v1(constB117)) <=> (~v1(constB117))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(807,axiom,(~v1(constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_117')).
% 5.91/4.15 tff(808,plain,
% 5.91/4.15 (~v1(constB117)),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[807, 806])).
% 5.91/4.15 tff(809,plain,
% 5.91/4.15 (((~v1(constB117)) | (~v102(constB117))) | v1(constB117)),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(810,plain,
% 5.91/4.15 ((~v1(constB117)) | (~v102(constB117))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[809, 808])).
% 5.91/4.15 tff(811,plain,
% 5.91/4.15 ((~(v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))) | (~v101(constB117)) | (~((~v1(constB117)) | (~v102(constB117))))),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(812,plain,
% 5.91/4.15 ((~(v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))) | (~v101(constB117))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[811, 810])).
% 5.91/4.15 tff(813,plain,
% 5.91/4.15 (~v101(constB117)),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[812, 805])).
% 5.91/4.15 tff(814,plain,
% 5.91/4.15 (((~v101(constB117)) | (~v110(constB117))) | v101(constB117)),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(815,plain,
% 5.91/4.15 ((~v101(constB117)) | (~v110(constB117))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[814, 813])).
% 5.91/4.15 tff(816,plain,
% 5.91/4.15 ((~(v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117)))))) | (~v100(constB117)) | (~((~v101(constB117)) | (~v110(constB117))))),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(817,plain,
% 5.91/4.15 (~v100(constB117)),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[816, 815, 798])).
% 5.91/4.15 tff(818,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 0)) <=> v90(constB116, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 0)) <=> v90(constB116, 0)))))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(819,plain,
% 5.91/4.15 ((v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 0)) <=> v90(constB116, 0))))) <=> (v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 0)) <=> v90(constB116, 0)))))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(820,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 0)) <=> v90(constB116, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 0)) <=> v90(constB116, 0))))))),
% 5.91/4.15 inference(monotonicity,[status(thm)],[819])).
% 5.91/4.15 tff(821,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 0)) <=> v90(constB116, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 0)) <=> v90(constB116, 0)))))),
% 5.91/4.15 inference(transitivity,[status(thm)],[820, 818])).
% 5.91/4.15 tff(822,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 0)) <=> v90(constB116, 0)))))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(823,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 0)) <=> v90(constB116, 0))))),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[822, 821])).
% 5.91/4.15 tff(824,plain,
% 5.91/4.15 (v100(constB117) | (~(((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 0)) <=> v90(constB116, 0))))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[823, 794, 325])).
% 5.91/4.15 tff(825,plain,
% 5.91/4.15 (~(((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 0)) <=> v90(constB116, 0)))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[824, 817])).
% 5.91/4.15 tff(826,plain,
% 5.91/4.15 ((((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 0)) <=> v90(constB116, 0))) | (~((~v90(constB117, 2)) <=> v90(constB116, 2)))),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(827,plain,
% 5.91/4.15 (~((~v90(constB117, 2)) <=> v90(constB116, 2))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[826, 825])).
% 5.91/4.15 tff(828,plain,
% 5.91/4.15 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(829,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_115')).
% 5.91/4.15 tff(830,plain,
% 5.91/4.15 (nextState(constB115, constB116)),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[829, 828])).
% 5.91/4.15 tff(831,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB115, constB116)) | (~(((~v129(constB116, 2)) <=> v127(constB115, 2)) | ((~v129(constB116, 1)) <=> v127(constB115, 1)) | ((~v129(constB116, 0)) <=> v127(constB115, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB115, constB116)) | (~(((~v129(constB116, 2)) <=> v127(constB115, 2)) | ((~v129(constB116, 1)) <=> v127(constB115, 1)) | ((~v129(constB116, 0)) <=> v127(constB115, 0)))))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(832,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB115, constB116)) | (~(((~v129(constB116, 2)) <=> v127(constB115, 2)) | ((~v129(constB116, 1)) <=> v127(constB115, 1)) | ((~v129(constB116, 0)) <=> v127(constB115, 0)))))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(833,plain,
% 5.91/4.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB115, constB116)) | (~(((~v129(constB116, 2)) <=> v127(constB115, 2)) | ((~v129(constB116, 1)) <=> v127(constB115, 1)) | ((~v129(constB116, 0)) <=> v127(constB115, 0))))),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[832, 831])).
% 5.91/4.15 tff(834,plain,
% 5.91/4.15 (~(((~v129(constB116, 2)) <=> v127(constB115, 2)) | ((~v129(constB116, 1)) <=> v127(constB115, 1)) | ((~v129(constB116, 0)) <=> v127(constB115, 0)))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[833, 830, 348])).
% 5.91/4.15 tff(835,plain,
% 5.91/4.15 ((((~v129(constB116, 2)) <=> v127(constB115, 2)) | ((~v129(constB116, 1)) <=> v127(constB115, 1)) | ((~v129(constB116, 0)) <=> v127(constB115, 0))) | (~((~v129(constB116, 2)) <=> v127(constB115, 2)))),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(836,plain,
% 5.91/4.15 (~((~v129(constB116, 2)) <=> v127(constB115, 2))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[835, 834])).
% 5.91/4.15 tff(837,plain,
% 5.91/4.15 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB115) <=> v26(constB115))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(838,plain,
% 5.91/4.15 (v111(constB115) <=> v26(constB115)),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[837, 367])).
% 5.91/4.15 tff(839,plain,
% 5.91/4.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB115))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(840,plain,
% 5.91/4.15 (~v26(constB115)),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[839, 379])).
% 5.91/4.15 tff(841,plain,
% 5.91/4.15 ((~(v111(constB115) <=> v26(constB115))) | (~v111(constB115)) | v26(constB115)),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(842,plain,
% 5.91/4.15 ((~(v111(constB115) <=> v26(constB115))) | (~v111(constB115))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[841, 840])).
% 5.91/4.15 tff(843,plain,
% 5.91/4.15 (~v111(constB115)),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[842, 838])).
% 5.91/4.15 tff(844,plain,
% 5.91/4.15 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB115) | (~(((~v127(constB115, 2)) <=> v130(constB115, 2)) | ((~v127(constB115, 1)) <=> v130(constB115, 1)) | ((~v127(constB115, 0)) <=> v130(constB115, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB115) | (~(((~v127(constB115, 2)) <=> v130(constB115, 2)) | ((~v127(constB115, 1)) <=> v130(constB115, 1)) | ((~v127(constB115, 0)) <=> v130(constB115, 0)))))),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(845,plain,
% 5.91/4.15 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB115) | (~(((~v127(constB115, 2)) <=> v130(constB115, 2)) | ((~v127(constB115, 1)) <=> v130(constB115, 1)) | ((~v127(constB115, 0)) <=> v130(constB115, 0)))))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(846,plain,
% 5.91/4.15 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB115) | (~(((~v127(constB115, 2)) <=> v130(constB115, 2)) | ((~v127(constB115, 1)) <=> v130(constB115, 1)) | ((~v127(constB115, 0)) <=> v130(constB115, 0))))),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[845, 844])).
% 5.91/4.15 tff(847,plain,
% 5.91/4.15 (v111(constB115) | (~(((~v127(constB115, 2)) <=> v130(constB115, 2)) | ((~v127(constB115, 1)) <=> v130(constB115, 1)) | ((~v127(constB115, 0)) <=> v130(constB115, 0))))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[846, 397])).
% 5.91/4.15 tff(848,plain,
% 5.91/4.15 (~(((~v127(constB115, 2)) <=> v130(constB115, 2)) | ((~v127(constB115, 1)) <=> v130(constB115, 1)) | ((~v127(constB115, 0)) <=> v130(constB115, 0)))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[847, 843])).
% 5.91/4.15 tff(849,plain,
% 5.91/4.15 ((((~v127(constB115, 2)) <=> v130(constB115, 2)) | ((~v127(constB115, 1)) <=> v130(constB115, 1)) | ((~v127(constB115, 0)) <=> v130(constB115, 0))) | (~((~v127(constB115, 2)) <=> v130(constB115, 2)))),
% 5.91/4.15 inference(tautology,[status(thm)],[])).
% 5.91/4.15 tff(850,plain,
% 5.91/4.15 (~((~v127(constB115, 2)) <=> v130(constB115, 2))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[849, 848])).
% 5.91/4.15 tff(851,plain,
% 5.91/4.15 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB115) <=> (~(v90(constB115, 1) | v90(constB115, 2) | (~v90(constB115, 0)))))),
% 5.91/4.15 inference(quant_inst,[status(thm)],[])).
% 5.91/4.15 tff(852,plain,
% 5.91/4.15 (v120(constB115) <=> (~(v90(constB115, 1) | v90(constB115, 2) | (~v90(constB115, 0))))),
% 5.91/4.15 inference(unit_resolution,[status(thm)],[851, 417])).
% 5.91/4.15 tff(853,plain,
% 5.91/4.15 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 5.91/4.15 inference(rewrite,[status(thm)],[])).
% 5.91/4.15 tff(854,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_114')).
% 5.91/4.15 tff(855,plain,
% 5.91/4.15 (nextState(constB114, constB115)),
% 5.91/4.15 inference(modus_ponens,[status(thm)],[854, 853])).
% 5.91/4.15 tff(856,plain,
% 5.91/4.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(857,plain,
% 5.91/4.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))))),
% 5.91/4.16 inference(quant_inst,[status(thm)],[])).
% 5.91/4.16 tff(858,plain,
% 5.91/4.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115)))))),
% 5.91/4.16 inference(modus_ponens,[status(thm)],[857, 856])).
% 5.91/4.16 tff(859,plain,
% 5.91/4.16 (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[858, 855, 273])).
% 5.91/4.16 tff(860,plain,
% 5.91/4.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(861,plain,
% 5.91/4.16 (((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115)))))) <=> ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(862,plain,
% 5.91/4.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))))),
% 5.91/4.16 inference(monotonicity,[status(thm)],[861])).
% 5.91/4.16 tff(863,plain,
% 5.91/4.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))),
% 5.91/4.16 inference(transitivity,[status(thm)],[862, 860])).
% 5.91/4.16 tff(864,plain,
% 5.91/4.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115))))))),
% 5.91/4.16 inference(quant_inst,[status(thm)],[])).
% 5.91/4.16 tff(865,plain,
% 5.91/4.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))),
% 5.91/4.16 inference(modus_ponens,[status(thm)],[864, 863])).
% 5.91/4.16 tff(866,plain,
% 5.91/4.16 (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[865, 855, 293])).
% 5.91/4.16 tff(867,plain,
% 5.91/4.16 ((~v1(constB115)) <=> (~v1(constB115))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(868,axiom,(~v1(constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_115')).
% 5.91/4.16 tff(869,plain,
% 5.91/4.16 (~v1(constB115)),
% 5.91/4.16 inference(modus_ponens,[status(thm)],[868, 867])).
% 5.91/4.16 tff(870,plain,
% 5.91/4.16 (((~v1(constB115)) | (~v102(constB115))) | v1(constB115)),
% 5.91/4.16 inference(tautology,[status(thm)],[])).
% 5.91/4.16 tff(871,plain,
% 5.91/4.16 ((~v1(constB115)) | (~v102(constB115))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[870, 869])).
% 5.91/4.16 tff(872,plain,
% 5.91/4.16 ((~(v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))) | (~v101(constB115)) | (~((~v1(constB115)) | (~v102(constB115))))),
% 5.91/4.16 inference(tautology,[status(thm)],[])).
% 5.91/4.16 tff(873,plain,
% 5.91/4.16 ((~(v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))) | (~v101(constB115))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[872, 871])).
% 5.91/4.16 tff(874,plain,
% 5.91/4.16 (~v101(constB115)),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[873, 866])).
% 5.91/4.16 tff(875,plain,
% 5.91/4.16 (((~v101(constB115)) | (~v110(constB115))) | v101(constB115)),
% 5.91/4.16 inference(tautology,[status(thm)],[])).
% 5.91/4.16 tff(876,plain,
% 5.91/4.16 ((~v101(constB115)) | (~v110(constB115))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[875, 874])).
% 5.91/4.16 tff(877,plain,
% 5.91/4.16 ((~(v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115)))))) | (~v100(constB115)) | (~((~v101(constB115)) | (~v110(constB115))))),
% 5.91/4.16 inference(tautology,[status(thm)],[])).
% 5.91/4.16 tff(878,plain,
% 5.91/4.16 (~v100(constB115)),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[877, 876, 859])).
% 5.91/4.16 tff(879,plain,
% 5.91/4.16 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 0)) <=> v90(constB114, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 0)) <=> v90(constB114, 0)))))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(880,plain,
% 5.91/4.16 ((v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 0)) <=> v90(constB114, 0))))) <=> (v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 0)) <=> v90(constB114, 0)))))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(881,plain,
% 5.91/4.16 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 0)) <=> v90(constB114, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 0)) <=> v90(constB114, 0))))))),
% 5.91/4.16 inference(monotonicity,[status(thm)],[880])).
% 5.91/4.16 tff(882,plain,
% 5.91/4.16 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 0)) <=> v90(constB114, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 0)) <=> v90(constB114, 0)))))),
% 5.91/4.16 inference(transitivity,[status(thm)],[881, 879])).
% 5.91/4.16 tff(883,plain,
% 5.91/4.16 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 0)) <=> v90(constB114, 0)))))),
% 5.91/4.16 inference(quant_inst,[status(thm)],[])).
% 5.91/4.16 tff(884,plain,
% 5.91/4.16 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 0)) <=> v90(constB114, 0))))),
% 5.91/4.16 inference(modus_ponens,[status(thm)],[883, 882])).
% 5.91/4.16 tff(885,plain,
% 5.91/4.16 (v100(constB115) | (~(((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 0)) <=> v90(constB114, 0))))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[884, 855, 325])).
% 5.91/4.16 tff(886,plain,
% 5.91/4.16 (~(((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 0)) <=> v90(constB114, 0)))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[885, 878])).
% 5.91/4.16 tff(887,plain,
% 5.91/4.16 ((((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 0)) <=> v90(constB114, 0))) | (~((~v90(constB115, 0)) <=> v90(constB114, 0)))),
% 5.91/4.16 inference(tautology,[status(thm)],[])).
% 5.91/4.16 tff(888,plain,
% 5.91/4.16 (~((~v90(constB115, 0)) <=> v90(constB114, 0))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[887, 886])).
% 5.91/4.16 tff(889,plain,
% 5.91/4.16 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(890,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_113')).
% 5.91/4.16 tff(891,plain,
% 5.91/4.16 (nextState(constB113, constB114)),
% 5.91/4.16 inference(modus_ponens,[status(thm)],[890, 889])).
% 5.91/4.16 tff(892,plain,
% 5.91/4.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB113, constB114)) | (~(((~v129(constB114, 2)) <=> v127(constB113, 2)) | ((~v129(constB114, 1)) <=> v127(constB113, 1)) | ((~v129(constB114, 0)) <=> v127(constB113, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB113, constB114)) | (~(((~v129(constB114, 2)) <=> v127(constB113, 2)) | ((~v129(constB114, 1)) <=> v127(constB113, 1)) | ((~v129(constB114, 0)) <=> v127(constB113, 0)))))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(893,plain,
% 5.91/4.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB113, constB114)) | (~(((~v129(constB114, 2)) <=> v127(constB113, 2)) | ((~v129(constB114, 1)) <=> v127(constB113, 1)) | ((~v129(constB114, 0)) <=> v127(constB113, 0)))))),
% 5.91/4.16 inference(quant_inst,[status(thm)],[])).
% 5.91/4.16 tff(894,plain,
% 5.91/4.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB113, constB114)) | (~(((~v129(constB114, 2)) <=> v127(constB113, 2)) | ((~v129(constB114, 1)) <=> v127(constB113, 1)) | ((~v129(constB114, 0)) <=> v127(constB113, 0))))),
% 5.91/4.16 inference(modus_ponens,[status(thm)],[893, 892])).
% 5.91/4.16 tff(895,plain,
% 5.91/4.16 (~(((~v129(constB114, 2)) <=> v127(constB113, 2)) | ((~v129(constB114, 1)) <=> v127(constB113, 1)) | ((~v129(constB114, 0)) <=> v127(constB113, 0)))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[894, 891, 348])).
% 5.91/4.16 tff(896,plain,
% 5.91/4.16 ((((~v129(constB114, 2)) <=> v127(constB113, 2)) | ((~v129(constB114, 1)) <=> v127(constB113, 1)) | ((~v129(constB114, 0)) <=> v127(constB113, 0))) | (~((~v129(constB114, 0)) <=> v127(constB113, 0)))),
% 5.91/4.16 inference(tautology,[status(thm)],[])).
% 5.91/4.16 tff(897,plain,
% 5.91/4.16 (~((~v129(constB114, 0)) <=> v127(constB113, 0))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[896, 895])).
% 5.91/4.16 tff(898,plain,
% 5.91/4.16 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB113) <=> v26(constB113))),
% 5.91/4.16 inference(quant_inst,[status(thm)],[])).
% 5.91/4.16 tff(899,plain,
% 5.91/4.16 (v111(constB113) <=> v26(constB113)),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[898, 367])).
% 5.91/4.16 tff(900,plain,
% 5.91/4.16 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB113))),
% 5.91/4.16 inference(quant_inst,[status(thm)],[])).
% 5.91/4.16 tff(901,plain,
% 5.91/4.16 (~v26(constB113)),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[900, 379])).
% 5.91/4.16 tff(902,plain,
% 5.91/4.16 ((~(v111(constB113) <=> v26(constB113))) | (~v111(constB113)) | v26(constB113)),
% 5.91/4.16 inference(tautology,[status(thm)],[])).
% 5.91/4.16 tff(903,plain,
% 5.91/4.16 ((~(v111(constB113) <=> v26(constB113))) | (~v111(constB113))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[902, 901])).
% 5.91/4.16 tff(904,plain,
% 5.91/4.16 (~v111(constB113)),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[903, 899])).
% 5.91/4.16 tff(905,plain,
% 5.91/4.16 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB113) | (~(((~v127(constB113, 2)) <=> v130(constB113, 2)) | ((~v127(constB113, 1)) <=> v130(constB113, 1)) | ((~v127(constB113, 0)) <=> v130(constB113, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB113) | (~(((~v127(constB113, 2)) <=> v130(constB113, 2)) | ((~v127(constB113, 1)) <=> v130(constB113, 1)) | ((~v127(constB113, 0)) <=> v130(constB113, 0)))))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(906,plain,
% 5.91/4.16 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB113) | (~(((~v127(constB113, 2)) <=> v130(constB113, 2)) | ((~v127(constB113, 1)) <=> v130(constB113, 1)) | ((~v127(constB113, 0)) <=> v130(constB113, 0)))))),
% 5.91/4.16 inference(quant_inst,[status(thm)],[])).
% 5.91/4.16 tff(907,plain,
% 5.91/4.16 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB113) | (~(((~v127(constB113, 2)) <=> v130(constB113, 2)) | ((~v127(constB113, 1)) <=> v130(constB113, 1)) | ((~v127(constB113, 0)) <=> v130(constB113, 0))))),
% 5.91/4.16 inference(modus_ponens,[status(thm)],[906, 905])).
% 5.91/4.16 tff(908,plain,
% 5.91/4.16 (v111(constB113) | (~(((~v127(constB113, 2)) <=> v130(constB113, 2)) | ((~v127(constB113, 1)) <=> v130(constB113, 1)) | ((~v127(constB113, 0)) <=> v130(constB113, 0))))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[907, 397])).
% 5.91/4.16 tff(909,plain,
% 5.91/4.16 (~(((~v127(constB113, 2)) <=> v130(constB113, 2)) | ((~v127(constB113, 1)) <=> v130(constB113, 1)) | ((~v127(constB113, 0)) <=> v130(constB113, 0)))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[908, 904])).
% 5.91/4.16 tff(910,plain,
% 5.91/4.16 ((((~v127(constB113, 2)) <=> v130(constB113, 2)) | ((~v127(constB113, 1)) <=> v130(constB113, 1)) | ((~v127(constB113, 0)) <=> v130(constB113, 0))) | (~((~v127(constB113, 0)) <=> v130(constB113, 0)))),
% 5.91/4.16 inference(tautology,[status(thm)],[])).
% 5.91/4.16 tff(911,plain,
% 5.91/4.16 (~((~v127(constB113, 0)) <=> v130(constB113, 0))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[910, 909])).
% 5.91/4.16 tff(912,plain,
% 5.91/4.16 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB113) <=> (~(v90(constB113, 1) | v90(constB113, 0) | (~v90(constB113, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB113) <=> (~(v90(constB113, 1) | v90(constB113, 0) | (~v90(constB113, 2))))))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(913,plain,
% 5.91/4.16 ((v123(constB113) <=> (~(v90(constB113, 0) | v90(constB113, 1) | (~v90(constB113, 2))))) <=> (v123(constB113) <=> (~(v90(constB113, 1) | v90(constB113, 0) | (~v90(constB113, 2)))))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(914,plain,
% 5.91/4.16 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB113) <=> (~(v90(constB113, 0) | v90(constB113, 1) | (~v90(constB113, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB113) <=> (~(v90(constB113, 1) | v90(constB113, 0) | (~v90(constB113, 2))))))),
% 5.91/4.16 inference(monotonicity,[status(thm)],[913])).
% 5.91/4.16 tff(915,plain,
% 5.91/4.16 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB113) <=> (~(v90(constB113, 0) | v90(constB113, 1) | (~v90(constB113, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB113) <=> (~(v90(constB113, 1) | v90(constB113, 0) | (~v90(constB113, 2))))))),
% 5.91/4.16 inference(transitivity,[status(thm)],[914, 912])).
% 5.91/4.16 tff(916,plain,
% 5.91/4.16 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB113) <=> (~(v90(constB113, 0) | v90(constB113, 1) | (~v90(constB113, 2)))))),
% 5.91/4.16 inference(quant_inst,[status(thm)],[])).
% 5.91/4.16 tff(917,plain,
% 5.91/4.16 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB113) <=> (~(v90(constB113, 1) | v90(constB113, 0) | (~v90(constB113, 2)))))),
% 5.91/4.16 inference(modus_ponens,[status(thm)],[916, 915])).
% 5.91/4.16 tff(918,plain,
% 5.91/4.16 (v123(constB113) <=> (~(v90(constB113, 1) | v90(constB113, 0) | (~v90(constB113, 2))))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[917, 565])).
% 5.91/4.16 tff(919,plain,
% 5.91/4.16 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(920,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_112')).
% 5.91/4.16 tff(921,plain,
% 5.91/4.16 (nextState(constB112, constB113)),
% 5.91/4.16 inference(modus_ponens,[status(thm)],[920, 919])).
% 5.91/4.16 tff(922,plain,
% 5.91/4.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(923,plain,
% 5.91/4.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))))),
% 5.91/4.16 inference(quant_inst,[status(thm)],[])).
% 5.91/4.16 tff(924,plain,
% 5.91/4.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113)))))),
% 5.91/4.16 inference(modus_ponens,[status(thm)],[923, 922])).
% 5.91/4.16 tff(925,plain,
% 5.91/4.16 (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[924, 921, 273])).
% 5.91/4.16 tff(926,plain,
% 5.91/4.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(927,plain,
% 5.91/4.16 (((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113)))))) <=> ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(928,plain,
% 5.91/4.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))))),
% 5.91/4.16 inference(monotonicity,[status(thm)],[927])).
% 5.91/4.16 tff(929,plain,
% 5.91/4.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))),
% 5.91/4.16 inference(transitivity,[status(thm)],[928, 926])).
% 5.91/4.16 tff(930,plain,
% 5.91/4.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113))))))),
% 5.91/4.16 inference(quant_inst,[status(thm)],[])).
% 5.91/4.16 tff(931,plain,
% 5.91/4.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))),
% 5.91/4.16 inference(modus_ponens,[status(thm)],[930, 929])).
% 5.91/4.16 tff(932,plain,
% 5.91/4.16 (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[931, 921, 293])).
% 5.91/4.16 tff(933,plain,
% 5.91/4.16 ((~v1(constB113)) <=> (~v1(constB113))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(934,axiom,(~v1(constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_113')).
% 5.91/4.16 tff(935,plain,
% 5.91/4.16 (~v1(constB113)),
% 5.91/4.16 inference(modus_ponens,[status(thm)],[934, 933])).
% 5.91/4.16 tff(936,plain,
% 5.91/4.16 (((~v1(constB113)) | (~v102(constB113))) | v1(constB113)),
% 5.91/4.16 inference(tautology,[status(thm)],[])).
% 5.91/4.16 tff(937,plain,
% 5.91/4.16 ((~v1(constB113)) | (~v102(constB113))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[936, 935])).
% 5.91/4.16 tff(938,plain,
% 5.91/4.16 ((~(v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))) | (~v101(constB113)) | (~((~v1(constB113)) | (~v102(constB113))))),
% 5.91/4.16 inference(tautology,[status(thm)],[])).
% 5.91/4.16 tff(939,plain,
% 5.91/4.16 ((~(v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))) | (~v101(constB113))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[938, 937])).
% 5.91/4.16 tff(940,plain,
% 5.91/4.16 (~v101(constB113)),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[939, 932])).
% 5.91/4.16 tff(941,plain,
% 5.91/4.16 (((~v101(constB113)) | (~v110(constB113))) | v101(constB113)),
% 5.91/4.16 inference(tautology,[status(thm)],[])).
% 5.91/4.16 tff(942,plain,
% 5.91/4.16 ((~v101(constB113)) | (~v110(constB113))),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[941, 940])).
% 5.91/4.16 tff(943,plain,
% 5.91/4.16 ((~(v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113)))))) | (~v100(constB113)) | (~((~v101(constB113)) | (~v110(constB113))))),
% 5.91/4.16 inference(tautology,[status(thm)],[])).
% 5.91/4.16 tff(944,plain,
% 5.91/4.16 (~v100(constB113)),
% 5.91/4.16 inference(unit_resolution,[status(thm)],[943, 942, 925])).
% 5.91/4.16 tff(945,plain,
% 5.91/4.16 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 0)) <=> v90(constB112, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 0)) <=> v90(constB112, 0)))))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(946,plain,
% 5.91/4.16 ((v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 0)) <=> v90(constB112, 0))))) <=> (v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 0)) <=> v90(constB112, 0)))))),
% 5.91/4.16 inference(rewrite,[status(thm)],[])).
% 5.91/4.16 tff(947,plain,
% 5.91/4.16 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 0)) <=> v90(constB112, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 0)) <=> v90(constB112, 0))))))),
% 5.98/4.16 inference(monotonicity,[status(thm)],[946])).
% 5.98/4.16 tff(948,plain,
% 5.98/4.16 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 0)) <=> v90(constB112, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 0)) <=> v90(constB112, 0)))))),
% 5.98/4.16 inference(transitivity,[status(thm)],[947, 945])).
% 5.98/4.16 tff(949,plain,
% 5.98/4.16 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 0)) <=> v90(constB112, 0)))))),
% 5.98/4.16 inference(quant_inst,[status(thm)],[])).
% 5.98/4.16 tff(950,plain,
% 5.98/4.16 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 0)) <=> v90(constB112, 0))))),
% 5.98/4.16 inference(modus_ponens,[status(thm)],[949, 948])).
% 5.98/4.16 tff(951,plain,
% 5.98/4.16 (v100(constB113) | (~(((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 0)) <=> v90(constB112, 0))))),
% 5.98/4.16 inference(unit_resolution,[status(thm)],[950, 921, 325])).
% 5.98/4.16 tff(952,plain,
% 5.98/4.16 (~(((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 0)) <=> v90(constB112, 0)))),
% 5.98/4.16 inference(unit_resolution,[status(thm)],[951, 944])).
% 5.98/4.16 tff(953,plain,
% 5.98/4.16 ((((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 0)) <=> v90(constB112, 0))) | (~((~v90(constB113, 2)) <=> v90(constB112, 2)))),
% 5.98/4.16 inference(tautology,[status(thm)],[])).
% 5.98/4.16 tff(954,plain,
% 5.98/4.16 (~((~v90(constB113, 2)) <=> v90(constB112, 2))),
% 5.98/4.16 inference(unit_resolution,[status(thm)],[953, 952])).
% 5.98/4.16 tff(955,plain,
% 5.98/4.16 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 5.98/4.16 inference(rewrite,[status(thm)],[])).
% 5.98/4.16 tff(956,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_111')).
% 5.98/4.16 tff(957,plain,
% 5.98/4.16 (nextState(constB111, constB112)),
% 5.98/4.16 inference(modus_ponens,[status(thm)],[956, 955])).
% 5.98/4.16 tff(958,plain,
% 5.98/4.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB111, constB112)) | (~(((~v129(constB112, 2)) <=> v127(constB111, 2)) | ((~v129(constB112, 1)) <=> v127(constB111, 1)) | ((~v129(constB112, 0)) <=> v127(constB111, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB111, constB112)) | (~(((~v129(constB112, 2)) <=> v127(constB111, 2)) | ((~v129(constB112, 1)) <=> v127(constB111, 1)) | ((~v129(constB112, 0)) <=> v127(constB111, 0)))))),
% 5.98/4.16 inference(rewrite,[status(thm)],[])).
% 5.98/4.16 tff(959,plain,
% 5.98/4.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB111, constB112)) | (~(((~v129(constB112, 2)) <=> v127(constB111, 2)) | ((~v129(constB112, 1)) <=> v127(constB111, 1)) | ((~v129(constB112, 0)) <=> v127(constB111, 0)))))),
% 5.98/4.16 inference(quant_inst,[status(thm)],[])).
% 5.98/4.16 tff(960,plain,
% 5.98/4.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB111, constB112)) | (~(((~v129(constB112, 2)) <=> v127(constB111, 2)) | ((~v129(constB112, 1)) <=> v127(constB111, 1)) | ((~v129(constB112, 0)) <=> v127(constB111, 0))))),
% 5.98/4.16 inference(modus_ponens,[status(thm)],[959, 958])).
% 5.98/4.16 tff(961,plain,
% 5.98/4.16 (~(((~v129(constB112, 2)) <=> v127(constB111, 2)) | ((~v129(constB112, 1)) <=> v127(constB111, 1)) | ((~v129(constB112, 0)) <=> v127(constB111, 0)))),
% 5.98/4.16 inference(unit_resolution,[status(thm)],[960, 957, 348])).
% 5.98/4.16 tff(962,plain,
% 5.98/4.16 ((((~v129(constB112, 2)) <=> v127(constB111, 2)) | ((~v129(constB112, 1)) <=> v127(constB111, 1)) | ((~v129(constB112, 0)) <=> v127(constB111, 0))) | (~((~v129(constB112, 2)) <=> v127(constB111, 2)))),
% 5.98/4.16 inference(tautology,[status(thm)],[])).
% 5.98/4.16 tff(963,plain,
% 5.98/4.16 (~((~v129(constB112, 2)) <=> v127(constB111, 2))),
% 5.98/4.16 inference(unit_resolution,[status(thm)],[962, 961])).
% 5.98/4.16 tff(964,plain,
% 5.98/4.16 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB111) <=> v26(constB111))),
% 5.98/4.16 inference(quant_inst,[status(thm)],[])).
% 5.98/4.16 tff(965,plain,
% 5.98/4.16 (v111(constB111) <=> v26(constB111)),
% 5.98/4.16 inference(unit_resolution,[status(thm)],[964, 367])).
% 5.98/4.16 tff(966,plain,
% 5.98/4.16 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB111))),
% 5.98/4.16 inference(quant_inst,[status(thm)],[])).
% 5.98/4.16 tff(967,plain,
% 5.98/4.16 (~v26(constB111)),
% 5.98/4.16 inference(unit_resolution,[status(thm)],[966, 379])).
% 5.98/4.16 tff(968,plain,
% 5.98/4.16 ((~(v111(constB111) <=> v26(constB111))) | (~v111(constB111)) | v26(constB111)),
% 5.98/4.16 inference(tautology,[status(thm)],[])).
% 5.98/4.16 tff(969,plain,
% 5.98/4.16 ((~(v111(constB111) <=> v26(constB111))) | (~v111(constB111))),
% 5.98/4.16 inference(unit_resolution,[status(thm)],[968, 967])).
% 5.98/4.16 tff(970,plain,
% 5.98/4.16 (~v111(constB111)),
% 5.98/4.16 inference(unit_resolution,[status(thm)],[969, 965])).
% 5.98/4.16 tff(971,plain,
% 5.98/4.16 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB111) | (~(((~v127(constB111, 2)) <=> v130(constB111, 2)) | ((~v127(constB111, 1)) <=> v130(constB111, 1)) | ((~v127(constB111, 0)) <=> v130(constB111, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB111) | (~(((~v127(constB111, 2)) <=> v130(constB111, 2)) | ((~v127(constB111, 1)) <=> v130(constB111, 1)) | ((~v127(constB111, 0)) <=> v130(constB111, 0)))))),
% 5.98/4.16 inference(rewrite,[status(thm)],[])).
% 5.98/4.16 tff(972,plain,
% 5.98/4.16 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB111) | (~(((~v127(constB111, 2)) <=> v130(constB111, 2)) | ((~v127(constB111, 1)) <=> v130(constB111, 1)) | ((~v127(constB111, 0)) <=> v130(constB111, 0)))))),
% 5.98/4.16 inference(quant_inst,[status(thm)],[])).
% 5.98/4.16 tff(973,plain,
% 5.98/4.16 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB111) | (~(((~v127(constB111, 2)) <=> v130(constB111, 2)) | ((~v127(constB111, 1)) <=> v130(constB111, 1)) | ((~v127(constB111, 0)) <=> v130(constB111, 0))))),
% 5.98/4.16 inference(modus_ponens,[status(thm)],[972, 971])).
% 5.98/4.16 tff(974,plain,
% 5.98/4.16 (v111(constB111) | (~(((~v127(constB111, 2)) <=> v130(constB111, 2)) | ((~v127(constB111, 1)) <=> v130(constB111, 1)) | ((~v127(constB111, 0)) <=> v130(constB111, 0))))),
% 5.98/4.16 inference(unit_resolution,[status(thm)],[973, 397])).
% 5.98/4.16 tff(975,plain,
% 5.98/4.16 (~(((~v127(constB111, 2)) <=> v130(constB111, 2)) | ((~v127(constB111, 1)) <=> v130(constB111, 1)) | ((~v127(constB111, 0)) <=> v130(constB111, 0)))),
% 5.98/4.16 inference(unit_resolution,[status(thm)],[974, 970])).
% 5.98/4.16 tff(976,plain,
% 5.98/4.16 ((((~v127(constB111, 2)) <=> v130(constB111, 2)) | ((~v127(constB111, 1)) <=> v130(constB111, 1)) | ((~v127(constB111, 0)) <=> v130(constB111, 0))) | (~((~v127(constB111, 2)) <=> v130(constB111, 2)))),
% 5.98/4.16 inference(tautology,[status(thm)],[])).
% 5.98/4.16 tff(977,plain,
% 5.98/4.16 (~((~v127(constB111, 2)) <=> v130(constB111, 2))),
% 5.98/4.16 inference(unit_resolution,[status(thm)],[976, 975])).
% 5.98/4.16 tff(978,plain,
% 5.98/4.16 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB111) <=> (~(v90(constB111, 2) | (~v90(constB111, 1)) | (~v90(constB111, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB111) <=> (~(v90(constB111, 2) | (~v90(constB111, 1)) | (~v90(constB111, 0))))))),
% 5.98/4.16 inference(rewrite,[status(thm)],[])).
% 5.98/4.16 tff(979,plain,
% 5.98/4.16 ((v122(constB111) <=> (~(v90(constB111, 2) | (~v90(constB111, 0)) | (~v90(constB111, 1))))) <=> (v122(constB111) <=> (~(v90(constB111, 2) | (~v90(constB111, 1)) | (~v90(constB111, 0)))))),
% 5.98/4.16 inference(rewrite,[status(thm)],[])).
% 5.98/4.16 tff(980,plain,
% 5.98/4.16 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB111) <=> (~(v90(constB111, 2) | (~v90(constB111, 0)) | (~v90(constB111, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB111) <=> (~(v90(constB111, 2) | (~v90(constB111, 1)) | (~v90(constB111, 0))))))),
% 5.98/4.16 inference(monotonicity,[status(thm)],[979])).
% 5.98/4.16 tff(981,plain,
% 5.98/4.16 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB111) <=> (~(v90(constB111, 2) | (~v90(constB111, 0)) | (~v90(constB111, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB111) <=> (~(v90(constB111, 2) | (~v90(constB111, 1)) | (~v90(constB111, 0))))))),
% 5.98/4.16 inference(transitivity,[status(thm)],[980, 978])).
% 5.98/4.16 tff(982,plain,
% 5.98/4.16 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB111) <=> (~(v90(constB111, 2) | (~v90(constB111, 0)) | (~v90(constB111, 1)))))),
% 5.98/4.16 inference(quant_inst,[status(thm)],[])).
% 5.98/4.16 tff(983,plain,
% 5.98/4.16 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB111) <=> (~(v90(constB111, 2) | (~v90(constB111, 1)) | (~v90(constB111, 0)))))),
% 5.98/4.16 inference(modus_ponens,[status(thm)],[982, 981])).
% 5.98/4.16 tff(984,plain,
% 5.98/4.16 (v122(constB111) <=> (~(v90(constB111, 2) | (~v90(constB111, 1)) | (~v90(constB111, 0))))),
% 5.98/4.16 inference(unit_resolution,[status(thm)],[983, 644])).
% 5.98/4.16 tff(985,plain,
% 5.98/4.16 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 5.98/4.16 inference(rewrite,[status(thm)],[])).
% 5.98/4.16 tff(986,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_110')).
% 5.98/4.16 tff(987,plain,
% 5.98/4.16 (nextState(constB110, constB111)),
% 5.98/4.16 inference(modus_ponens,[status(thm)],[986, 985])).
% 5.98/4.16 tff(988,plain,
% 5.98/4.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(989,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(990,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111)))))),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[989, 988])).
% 5.98/4.17 tff(991,plain,
% 5.98/4.17 (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[990, 987, 273])).
% 5.98/4.17 tff(992,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(993,plain,
% 5.98/4.17 (((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111)))))) <=> ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(994,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))))),
% 5.98/4.17 inference(monotonicity,[status(thm)],[993])).
% 5.98/4.17 tff(995,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))),
% 5.98/4.17 inference(transitivity,[status(thm)],[994, 992])).
% 5.98/4.17 tff(996,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111))))))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(997,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[996, 995])).
% 5.98/4.17 tff(998,plain,
% 5.98/4.17 (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[997, 987, 293])).
% 5.98/4.17 tff(999,plain,
% 5.98/4.17 ((~v1(constB111)) <=> (~v1(constB111))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1000,axiom,(~v1(constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_111')).
% 5.98/4.17 tff(1001,plain,
% 5.98/4.17 (~v1(constB111)),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1000, 999])).
% 5.98/4.17 tff(1002,plain,
% 5.98/4.17 (((~v1(constB111)) | (~v102(constB111))) | v1(constB111)),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1003,plain,
% 5.98/4.17 ((~v1(constB111)) | (~v102(constB111))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1002, 1001])).
% 5.98/4.17 tff(1004,plain,
% 5.98/4.17 ((~(v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))) | (~v101(constB111)) | (~((~v1(constB111)) | (~v102(constB111))))),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1005,plain,
% 5.98/4.17 ((~(v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))) | (~v101(constB111))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1004, 1003])).
% 5.98/4.17 tff(1006,plain,
% 5.98/4.17 (~v101(constB111)),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1005, 998])).
% 5.98/4.17 tff(1007,plain,
% 5.98/4.17 (((~v101(constB111)) | (~v110(constB111))) | v101(constB111)),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1008,plain,
% 5.98/4.17 ((~v101(constB111)) | (~v110(constB111))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1007, 1006])).
% 5.98/4.17 tff(1009,plain,
% 5.98/4.17 ((~(v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111)))))) | (~v100(constB111)) | (~((~v101(constB111)) | (~v110(constB111))))),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1010,plain,
% 5.98/4.17 (~v100(constB111)),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1009, 1008, 991])).
% 5.98/4.17 tff(1011,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 0)) <=> v90(constB110, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 0)) <=> v90(constB110, 0)))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1012,plain,
% 5.98/4.17 ((v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 0)) <=> v90(constB110, 0))))) <=> (v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 0)) <=> v90(constB110, 0)))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1013,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 0)) <=> v90(constB110, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 0)) <=> v90(constB110, 0))))))),
% 5.98/4.17 inference(monotonicity,[status(thm)],[1012])).
% 5.98/4.17 tff(1014,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 0)) <=> v90(constB110, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 0)) <=> v90(constB110, 0)))))),
% 5.98/4.17 inference(transitivity,[status(thm)],[1013, 1011])).
% 5.98/4.17 tff(1015,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 0)) <=> v90(constB110, 0)))))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1016,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 0)) <=> v90(constB110, 0))))),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1015, 1014])).
% 5.98/4.17 tff(1017,plain,
% 5.98/4.17 (v100(constB111) | (~(((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 0)) <=> v90(constB110, 0))))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1016, 987, 325])).
% 5.98/4.17 tff(1018,plain,
% 5.98/4.17 (~(((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 0)) <=> v90(constB110, 0)))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1017, 1010])).
% 5.98/4.17 tff(1019,plain,
% 5.98/4.17 ((((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 0)) <=> v90(constB110, 0))) | (~((~v90(constB111, 2)) <=> v90(constB110, 2)))),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1020,plain,
% 5.98/4.17 (~((~v90(constB111, 2)) <=> v90(constB110, 2))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1019, 1018])).
% 5.98/4.17 tff(1021,plain,
% 5.98/4.17 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1022,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_109')).
% 5.98/4.17 tff(1023,plain,
% 5.98/4.17 (nextState(constB109, constB110)),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1022, 1021])).
% 5.98/4.17 tff(1024,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB109, constB110)) | (~(((~v129(constB110, 2)) <=> v127(constB109, 2)) | ((~v129(constB110, 1)) <=> v127(constB109, 1)) | ((~v129(constB110, 0)) <=> v127(constB109, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB109, constB110)) | (~(((~v129(constB110, 2)) <=> v127(constB109, 2)) | ((~v129(constB110, 1)) <=> v127(constB109, 1)) | ((~v129(constB110, 0)) <=> v127(constB109, 0)))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1025,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB109, constB110)) | (~(((~v129(constB110, 2)) <=> v127(constB109, 2)) | ((~v129(constB110, 1)) <=> v127(constB109, 1)) | ((~v129(constB110, 0)) <=> v127(constB109, 0)))))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1026,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB109, constB110)) | (~(((~v129(constB110, 2)) <=> v127(constB109, 2)) | ((~v129(constB110, 1)) <=> v127(constB109, 1)) | ((~v129(constB110, 0)) <=> v127(constB109, 0))))),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 5.98/4.17 tff(1027,plain,
% 5.98/4.17 (~(((~v129(constB110, 2)) <=> v127(constB109, 2)) | ((~v129(constB110, 1)) <=> v127(constB109, 1)) | ((~v129(constB110, 0)) <=> v127(constB109, 0)))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1026, 1023, 348])).
% 5.98/4.17 tff(1028,plain,
% 5.98/4.17 ((((~v129(constB110, 2)) <=> v127(constB109, 2)) | ((~v129(constB110, 1)) <=> v127(constB109, 1)) | ((~v129(constB110, 0)) <=> v127(constB109, 0))) | (~((~v129(constB110, 2)) <=> v127(constB109, 2)))),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1029,plain,
% 5.98/4.17 (~((~v129(constB110, 2)) <=> v127(constB109, 2))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1028, 1027])).
% 5.98/4.17 tff(1030,plain,
% 5.98/4.17 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB109) <=> v26(constB109))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1031,plain,
% 5.98/4.17 (v111(constB109) <=> v26(constB109)),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1030, 367])).
% 5.98/4.17 tff(1032,plain,
% 5.98/4.17 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB109))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1033,plain,
% 5.98/4.17 (~v26(constB109)),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1032, 379])).
% 5.98/4.17 tff(1034,plain,
% 5.98/4.17 ((~(v111(constB109) <=> v26(constB109))) | (~v111(constB109)) | v26(constB109)),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1035,plain,
% 5.98/4.17 ((~(v111(constB109) <=> v26(constB109))) | (~v111(constB109))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1034, 1033])).
% 5.98/4.17 tff(1036,plain,
% 5.98/4.17 (~v111(constB109)),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1035, 1031])).
% 5.98/4.17 tff(1037,plain,
% 5.98/4.17 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB109) | (~(((~v127(constB109, 2)) <=> v130(constB109, 2)) | ((~v127(constB109, 1)) <=> v130(constB109, 1)) | ((~v127(constB109, 0)) <=> v130(constB109, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB109) | (~(((~v127(constB109, 2)) <=> v130(constB109, 2)) | ((~v127(constB109, 1)) <=> v130(constB109, 1)) | ((~v127(constB109, 0)) <=> v130(constB109, 0)))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1038,plain,
% 5.98/4.17 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB109) | (~(((~v127(constB109, 2)) <=> v130(constB109, 2)) | ((~v127(constB109, 1)) <=> v130(constB109, 1)) | ((~v127(constB109, 0)) <=> v130(constB109, 0)))))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1039,plain,
% 5.98/4.17 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB109) | (~(((~v127(constB109, 2)) <=> v130(constB109, 2)) | ((~v127(constB109, 1)) <=> v130(constB109, 1)) | ((~v127(constB109, 0)) <=> v130(constB109, 0))))),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 5.98/4.17 tff(1040,plain,
% 5.98/4.17 (v111(constB109) | (~(((~v127(constB109, 2)) <=> v130(constB109, 2)) | ((~v127(constB109, 1)) <=> v130(constB109, 1)) | ((~v127(constB109, 0)) <=> v130(constB109, 0))))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1039, 397])).
% 5.98/4.17 tff(1041,plain,
% 5.98/4.17 (~(((~v127(constB109, 2)) <=> v130(constB109, 2)) | ((~v127(constB109, 1)) <=> v130(constB109, 1)) | ((~v127(constB109, 0)) <=> v130(constB109, 0)))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1040, 1036])).
% 5.98/4.17 tff(1042,plain,
% 5.98/4.17 ((((~v127(constB109, 2)) <=> v130(constB109, 2)) | ((~v127(constB109, 1)) <=> v130(constB109, 1)) | ((~v127(constB109, 0)) <=> v130(constB109, 0))) | (~((~v127(constB109, 2)) <=> v130(constB109, 2)))),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1043,plain,
% 5.98/4.17 (~((~v127(constB109, 2)) <=> v130(constB109, 2))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1042, 1041])).
% 5.98/4.17 tff(1044,plain,
% 5.98/4.17 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB109) <=> (~(v90(constB109, 2) | v90(constB109, 0) | (~v90(constB109, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB109) <=> (~(v90(constB109, 2) | v90(constB109, 0) | (~v90(constB109, 1))))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1045,plain,
% 5.98/4.17 ((v121(constB109) <=> (~(v90(constB109, 0) | v90(constB109, 2) | (~v90(constB109, 1))))) <=> (v121(constB109) <=> (~(v90(constB109, 2) | v90(constB109, 0) | (~v90(constB109, 1)))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1046,plain,
% 5.98/4.17 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB109) <=> (~(v90(constB109, 0) | v90(constB109, 2) | (~v90(constB109, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB109) <=> (~(v90(constB109, 2) | v90(constB109, 0) | (~v90(constB109, 1))))))),
% 5.98/4.17 inference(monotonicity,[status(thm)],[1045])).
% 5.98/4.17 tff(1047,plain,
% 5.98/4.17 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB109) <=> (~(v90(constB109, 0) | v90(constB109, 2) | (~v90(constB109, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB109) <=> (~(v90(constB109, 2) | v90(constB109, 0) | (~v90(constB109, 1))))))),
% 5.98/4.17 inference(transitivity,[status(thm)],[1046, 1044])).
% 5.98/4.17 tff(1048,plain,
% 5.98/4.17 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB109) <=> (~(v90(constB109, 0) | v90(constB109, 2) | (~v90(constB109, 1)))))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1049,plain,
% 5.98/4.17 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB109) <=> (~(v90(constB109, 2) | v90(constB109, 0) | (~v90(constB109, 1)))))),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1048, 1047])).
% 5.98/4.17 tff(1050,plain,
% 5.98/4.17 (v121(constB109) <=> (~(v90(constB109, 2) | v90(constB109, 0) | (~v90(constB109, 1))))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1049, 723])).
% 5.98/4.17 tff(1051,plain,
% 5.98/4.17 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1052,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_108')).
% 5.98/4.17 tff(1053,plain,
% 5.98/4.17 (nextState(constB108, constB109)),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1052, 1051])).
% 5.98/4.17 tff(1054,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1055,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1056,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109)))))),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1055, 1054])).
% 5.98/4.17 tff(1057,plain,
% 5.98/4.17 (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1056, 1053, 273])).
% 5.98/4.17 tff(1058,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1059,plain,
% 5.98/4.17 (((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109)))))) <=> ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1060,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))))),
% 5.98/4.17 inference(monotonicity,[status(thm)],[1059])).
% 5.98/4.17 tff(1061,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))),
% 5.98/4.17 inference(transitivity,[status(thm)],[1060, 1058])).
% 5.98/4.17 tff(1062,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109))))))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1063,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1062, 1061])).
% 5.98/4.17 tff(1064,plain,
% 5.98/4.17 (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1063, 1053, 293])).
% 5.98/4.17 tff(1065,plain,
% 5.98/4.17 ((~v1(constB109)) <=> (~v1(constB109))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1066,axiom,(~v1(constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_109')).
% 5.98/4.17 tff(1067,plain,
% 5.98/4.17 (~v1(constB109)),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 5.98/4.17 tff(1068,plain,
% 5.98/4.17 (((~v1(constB109)) | (~v102(constB109))) | v1(constB109)),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1069,plain,
% 5.98/4.17 ((~v1(constB109)) | (~v102(constB109))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1068, 1067])).
% 5.98/4.17 tff(1070,plain,
% 5.98/4.17 ((~(v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))) | (~v101(constB109)) | (~((~v1(constB109)) | (~v102(constB109))))),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1071,plain,
% 5.98/4.17 ((~(v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))) | (~v101(constB109))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1070, 1069])).
% 5.98/4.17 tff(1072,plain,
% 5.98/4.17 (~v101(constB109)),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1071, 1064])).
% 5.98/4.17 tff(1073,plain,
% 5.98/4.17 (((~v101(constB109)) | (~v110(constB109))) | v101(constB109)),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1074,plain,
% 5.98/4.17 ((~v101(constB109)) | (~v110(constB109))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1073, 1072])).
% 5.98/4.17 tff(1075,plain,
% 5.98/4.17 ((~(v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109)))))) | (~v100(constB109)) | (~((~v101(constB109)) | (~v110(constB109))))),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1076,plain,
% 5.98/4.17 (~v100(constB109)),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1075, 1074, 1057])).
% 5.98/4.17 tff(1077,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 0)) <=> v90(constB108, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 0)) <=> v90(constB108, 0)))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1078,plain,
% 5.98/4.17 ((v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 0)) <=> v90(constB108, 0))))) <=> (v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 0)) <=> v90(constB108, 0)))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1079,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 0)) <=> v90(constB108, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 0)) <=> v90(constB108, 0))))))),
% 5.98/4.17 inference(monotonicity,[status(thm)],[1078])).
% 5.98/4.17 tff(1080,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 0)) <=> v90(constB108, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 0)) <=> v90(constB108, 0)))))),
% 5.98/4.17 inference(transitivity,[status(thm)],[1079, 1077])).
% 5.98/4.17 tff(1081,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 0)) <=> v90(constB108, 0)))))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1082,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 0)) <=> v90(constB108, 0))))),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1081, 1080])).
% 5.98/4.17 tff(1083,plain,
% 5.98/4.17 (v100(constB109) | (~(((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 0)) <=> v90(constB108, 0))))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1082, 1053, 325])).
% 5.98/4.17 tff(1084,plain,
% 5.98/4.17 (~(((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 0)) <=> v90(constB108, 0)))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1083, 1076])).
% 5.98/4.17 tff(1085,plain,
% 5.98/4.17 ((((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 0)) <=> v90(constB108, 0))) | (~((~v90(constB109, 2)) <=> v90(constB108, 2)))),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1086,plain,
% 5.98/4.17 (~((~v90(constB109, 2)) <=> v90(constB108, 2))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1085, 1084])).
% 5.98/4.17 tff(1087,plain,
% 5.98/4.17 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1088,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_107')).
% 5.98/4.17 tff(1089,plain,
% 5.98/4.17 (nextState(constB107, constB108)),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1088, 1087])).
% 5.98/4.17 tff(1090,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB107, constB108)) | (~(((~v129(constB108, 2)) <=> v127(constB107, 2)) | ((~v129(constB108, 1)) <=> v127(constB107, 1)) | ((~v129(constB108, 0)) <=> v127(constB107, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB107, constB108)) | (~(((~v129(constB108, 2)) <=> v127(constB107, 2)) | ((~v129(constB108, 1)) <=> v127(constB107, 1)) | ((~v129(constB108, 0)) <=> v127(constB107, 0)))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1091,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB107, constB108)) | (~(((~v129(constB108, 2)) <=> v127(constB107, 2)) | ((~v129(constB108, 1)) <=> v127(constB107, 1)) | ((~v129(constB108, 0)) <=> v127(constB107, 0)))))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1092,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB107, constB108)) | (~(((~v129(constB108, 2)) <=> v127(constB107, 2)) | ((~v129(constB108, 1)) <=> v127(constB107, 1)) | ((~v129(constB108, 0)) <=> v127(constB107, 0))))),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1091, 1090])).
% 5.98/4.17 tff(1093,plain,
% 5.98/4.17 (~(((~v129(constB108, 2)) <=> v127(constB107, 2)) | ((~v129(constB108, 1)) <=> v127(constB107, 1)) | ((~v129(constB108, 0)) <=> v127(constB107, 0)))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1092, 1089, 348])).
% 5.98/4.17 tff(1094,plain,
% 5.98/4.17 ((((~v129(constB108, 2)) <=> v127(constB107, 2)) | ((~v129(constB108, 1)) <=> v127(constB107, 1)) | ((~v129(constB108, 0)) <=> v127(constB107, 0))) | (~((~v129(constB108, 2)) <=> v127(constB107, 2)))),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1095,plain,
% 5.98/4.17 (~((~v129(constB108, 2)) <=> v127(constB107, 2))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1094, 1093])).
% 5.98/4.17 tff(1096,plain,
% 5.98/4.17 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB107) <=> v26(constB107))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1097,plain,
% 5.98/4.17 (v111(constB107) <=> v26(constB107)),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1096, 367])).
% 5.98/4.17 tff(1098,plain,
% 5.98/4.17 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB107))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1099,plain,
% 5.98/4.17 (~v26(constB107)),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1098, 379])).
% 5.98/4.17 tff(1100,plain,
% 5.98/4.17 ((~(v111(constB107) <=> v26(constB107))) | (~v111(constB107)) | v26(constB107)),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1101,plain,
% 5.98/4.17 ((~(v111(constB107) <=> v26(constB107))) | (~v111(constB107))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1100, 1099])).
% 5.98/4.17 tff(1102,plain,
% 5.98/4.17 (~v111(constB107)),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1101, 1097])).
% 5.98/4.17 tff(1103,plain,
% 5.98/4.17 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB107) | (~(((~v127(constB107, 2)) <=> v130(constB107, 2)) | ((~v127(constB107, 1)) <=> v130(constB107, 1)) | ((~v127(constB107, 0)) <=> v130(constB107, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB107) | (~(((~v127(constB107, 2)) <=> v130(constB107, 2)) | ((~v127(constB107, 1)) <=> v130(constB107, 1)) | ((~v127(constB107, 0)) <=> v130(constB107, 0)))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1104,plain,
% 5.98/4.17 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB107) | (~(((~v127(constB107, 2)) <=> v130(constB107, 2)) | ((~v127(constB107, 1)) <=> v130(constB107, 1)) | ((~v127(constB107, 0)) <=> v130(constB107, 0)))))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1105,plain,
% 5.98/4.17 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB107) | (~(((~v127(constB107, 2)) <=> v130(constB107, 2)) | ((~v127(constB107, 1)) <=> v130(constB107, 1)) | ((~v127(constB107, 0)) <=> v130(constB107, 0))))),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1104, 1103])).
% 5.98/4.17 tff(1106,plain,
% 5.98/4.17 (v111(constB107) | (~(((~v127(constB107, 2)) <=> v130(constB107, 2)) | ((~v127(constB107, 1)) <=> v130(constB107, 1)) | ((~v127(constB107, 0)) <=> v130(constB107, 0))))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1105, 397])).
% 5.98/4.17 tff(1107,plain,
% 5.98/4.17 (~(((~v127(constB107, 2)) <=> v130(constB107, 2)) | ((~v127(constB107, 1)) <=> v130(constB107, 1)) | ((~v127(constB107, 0)) <=> v130(constB107, 0)))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1106, 1102])).
% 5.98/4.17 tff(1108,plain,
% 5.98/4.17 ((((~v127(constB107, 2)) <=> v130(constB107, 2)) | ((~v127(constB107, 1)) <=> v130(constB107, 1)) | ((~v127(constB107, 0)) <=> v130(constB107, 0))) | (~((~v127(constB107, 2)) <=> v130(constB107, 2)))),
% 5.98/4.17 inference(tautology,[status(thm)],[])).
% 5.98/4.17 tff(1109,plain,
% 5.98/4.17 (~((~v127(constB107, 2)) <=> v130(constB107, 2))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1108, 1107])).
% 5.98/4.17 tff(1110,plain,
% 5.98/4.17 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB107) <=> (~(v90(constB107, 1) | v90(constB107, 2) | (~v90(constB107, 0)))))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1111,plain,
% 5.98/4.17 (v120(constB107) <=> (~(v90(constB107, 1) | v90(constB107, 2) | (~v90(constB107, 0))))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1110, 417])).
% 5.98/4.17 tff(1112,plain,
% 5.98/4.17 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1113,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_106')).
% 5.98/4.17 tff(1114,plain,
% 5.98/4.17 (nextState(constB106, constB107)),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1113, 1112])).
% 5.98/4.17 tff(1115,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1116,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))))),
% 5.98/4.17 inference(quant_inst,[status(thm)],[])).
% 5.98/4.17 tff(1117,plain,
% 5.98/4.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107)))))),
% 5.98/4.17 inference(modus_ponens,[status(thm)],[1116, 1115])).
% 5.98/4.17 tff(1118,plain,
% 5.98/4.17 (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))),
% 5.98/4.17 inference(unit_resolution,[status(thm)],[1117, 1114, 273])).
% 5.98/4.17 tff(1119,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1120,plain,
% 5.98/4.17 (((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107)))))) <=> ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))),
% 5.98/4.17 inference(rewrite,[status(thm)],[])).
% 5.98/4.17 tff(1121,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))))),
% 5.98/4.17 inference(monotonicity,[status(thm)],[1120])).
% 5.98/4.17 tff(1122,plain,
% 5.98/4.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))),
% 5.98/4.18 inference(transitivity,[status(thm)],[1121, 1119])).
% 5.98/4.18 tff(1123,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107))))))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1124,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 5.98/4.18 tff(1125,plain,
% 5.98/4.18 (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1124, 1114, 293])).
% 5.98/4.18 tff(1126,plain,
% 5.98/4.18 ((~v1(constB107)) <=> (~v1(constB107))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1127,axiom,(~v1(constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_107')).
% 5.98/4.18 tff(1128,plain,
% 5.98/4.18 (~v1(constB107)),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 5.98/4.18 tff(1129,plain,
% 5.98/4.18 (((~v1(constB107)) | (~v102(constB107))) | v1(constB107)),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1130,plain,
% 5.98/4.18 ((~v1(constB107)) | (~v102(constB107))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1129, 1128])).
% 5.98/4.18 tff(1131,plain,
% 5.98/4.18 ((~(v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))) | (~v101(constB107)) | (~((~v1(constB107)) | (~v102(constB107))))),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1132,plain,
% 5.98/4.18 ((~(v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))) | (~v101(constB107))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1131, 1130])).
% 5.98/4.18 tff(1133,plain,
% 5.98/4.18 (~v101(constB107)),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1132, 1125])).
% 5.98/4.18 tff(1134,plain,
% 5.98/4.18 (((~v101(constB107)) | (~v110(constB107))) | v101(constB107)),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1135,plain,
% 5.98/4.18 ((~v101(constB107)) | (~v110(constB107))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1134, 1133])).
% 5.98/4.18 tff(1136,plain,
% 5.98/4.18 ((~(v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107)))))) | (~v100(constB107)) | (~((~v101(constB107)) | (~v110(constB107))))),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1137,plain,
% 5.98/4.18 (~v100(constB107)),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1136, 1135, 1118])).
% 5.98/4.18 tff(1138,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 0)) <=> v90(constB106, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 0)) <=> v90(constB106, 0)))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1139,plain,
% 5.98/4.18 ((v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 0)) <=> v90(constB106, 0))))) <=> (v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 0)) <=> v90(constB106, 0)))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1140,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 0)) <=> v90(constB106, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 0)) <=> v90(constB106, 0))))))),
% 5.98/4.18 inference(monotonicity,[status(thm)],[1139])).
% 5.98/4.18 tff(1141,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 0)) <=> v90(constB106, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 0)) <=> v90(constB106, 0)))))),
% 5.98/4.18 inference(transitivity,[status(thm)],[1140, 1138])).
% 5.98/4.18 tff(1142,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 0)) <=> v90(constB106, 0)))))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1143,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 0)) <=> v90(constB106, 0))))),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1142, 1141])).
% 5.98/4.18 tff(1144,plain,
% 5.98/4.18 (v100(constB107) | (~(((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 0)) <=> v90(constB106, 0))))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1143, 1114, 325])).
% 5.98/4.18 tff(1145,plain,
% 5.98/4.18 (~(((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 0)) <=> v90(constB106, 0)))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1144, 1137])).
% 5.98/4.18 tff(1146,plain,
% 5.98/4.18 ((((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 0)) <=> v90(constB106, 0))) | (~((~v90(constB107, 2)) <=> v90(constB106, 2)))),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1147,plain,
% 5.98/4.18 (~((~v90(constB107, 2)) <=> v90(constB106, 2))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1146, 1145])).
% 5.98/4.18 tff(1148,plain,
% 5.98/4.18 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1149,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_105')).
% 5.98/4.18 tff(1150,plain,
% 5.98/4.18 (nextState(constB105, constB106)),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1149, 1148])).
% 5.98/4.18 tff(1151,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB105, constB106)) | (~(((~v129(constB106, 2)) <=> v127(constB105, 2)) | ((~v129(constB106, 1)) <=> v127(constB105, 1)) | ((~v129(constB106, 0)) <=> v127(constB105, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB105, constB106)) | (~(((~v129(constB106, 2)) <=> v127(constB105, 2)) | ((~v129(constB106, 1)) <=> v127(constB105, 1)) | ((~v129(constB106, 0)) <=> v127(constB105, 0)))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1152,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB105, constB106)) | (~(((~v129(constB106, 2)) <=> v127(constB105, 2)) | ((~v129(constB106, 1)) <=> v127(constB105, 1)) | ((~v129(constB106, 0)) <=> v127(constB105, 0)))))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1153,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB105, constB106)) | (~(((~v129(constB106, 2)) <=> v127(constB105, 2)) | ((~v129(constB106, 1)) <=> v127(constB105, 1)) | ((~v129(constB106, 0)) <=> v127(constB105, 0))))),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1152, 1151])).
% 5.98/4.18 tff(1154,plain,
% 5.98/4.18 (~(((~v129(constB106, 2)) <=> v127(constB105, 2)) | ((~v129(constB106, 1)) <=> v127(constB105, 1)) | ((~v129(constB106, 0)) <=> v127(constB105, 0)))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1153, 1150, 348])).
% 5.98/4.18 tff(1155,plain,
% 5.98/4.18 ((((~v129(constB106, 2)) <=> v127(constB105, 2)) | ((~v129(constB106, 1)) <=> v127(constB105, 1)) | ((~v129(constB106, 0)) <=> v127(constB105, 0))) | (~((~v129(constB106, 2)) <=> v127(constB105, 2)))),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1156,plain,
% 5.98/4.18 (~((~v129(constB106, 2)) <=> v127(constB105, 2))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1155, 1154])).
% 5.98/4.18 tff(1157,plain,
% 5.98/4.18 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB105) <=> v26(constB105))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1158,plain,
% 5.98/4.18 (v111(constB105) <=> v26(constB105)),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1157, 367])).
% 5.98/4.18 tff(1159,plain,
% 5.98/4.18 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB105))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1160,plain,
% 5.98/4.18 (~v26(constB105)),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1159, 379])).
% 5.98/4.18 tff(1161,plain,
% 5.98/4.18 ((~(v111(constB105) <=> v26(constB105))) | (~v111(constB105)) | v26(constB105)),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1162,plain,
% 5.98/4.18 ((~(v111(constB105) <=> v26(constB105))) | (~v111(constB105))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1161, 1160])).
% 5.98/4.18 tff(1163,plain,
% 5.98/4.18 (~v111(constB105)),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1162, 1158])).
% 5.98/4.18 tff(1164,plain,
% 5.98/4.18 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB105) | (~(((~v127(constB105, 2)) <=> v130(constB105, 2)) | ((~v127(constB105, 1)) <=> v130(constB105, 1)) | ((~v127(constB105, 0)) <=> v130(constB105, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB105) | (~(((~v127(constB105, 2)) <=> v130(constB105, 2)) | ((~v127(constB105, 1)) <=> v130(constB105, 1)) | ((~v127(constB105, 0)) <=> v130(constB105, 0)))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1165,plain,
% 5.98/4.18 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB105) | (~(((~v127(constB105, 2)) <=> v130(constB105, 2)) | ((~v127(constB105, 1)) <=> v130(constB105, 1)) | ((~v127(constB105, 0)) <=> v130(constB105, 0)))))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1166,plain,
% 5.98/4.18 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB105) | (~(((~v127(constB105, 2)) <=> v130(constB105, 2)) | ((~v127(constB105, 1)) <=> v130(constB105, 1)) | ((~v127(constB105, 0)) <=> v130(constB105, 0))))),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 5.98/4.18 tff(1167,plain,
% 5.98/4.18 (v111(constB105) | (~(((~v127(constB105, 2)) <=> v130(constB105, 2)) | ((~v127(constB105, 1)) <=> v130(constB105, 1)) | ((~v127(constB105, 0)) <=> v130(constB105, 0))))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1166, 397])).
% 5.98/4.18 tff(1168,plain,
% 5.98/4.18 (~(((~v127(constB105, 2)) <=> v130(constB105, 2)) | ((~v127(constB105, 1)) <=> v130(constB105, 1)) | ((~v127(constB105, 0)) <=> v130(constB105, 0)))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1167, 1163])).
% 5.98/4.18 tff(1169,plain,
% 5.98/4.18 ((((~v127(constB105, 2)) <=> v130(constB105, 2)) | ((~v127(constB105, 1)) <=> v130(constB105, 1)) | ((~v127(constB105, 0)) <=> v130(constB105, 0))) | (~((~v127(constB105, 2)) <=> v130(constB105, 2)))),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1170,plain,
% 5.98/4.18 (~((~v127(constB105, 2)) <=> v130(constB105, 2))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1169, 1168])).
% 5.98/4.18 tff(1171,plain,
% 5.98/4.18 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB105) <=> (~(v90(constB105, 0) | v90(constB105, 1) | v90(constB105, 2))))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1172,plain,
% 5.98/4.18 (v119(constB105) <=> (~(v90(constB105, 0) | v90(constB105, 1) | v90(constB105, 2)))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1171, 491])).
% 5.98/4.18 tff(1173,plain,
% 5.98/4.18 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1174,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_104')).
% 5.98/4.18 tff(1175,plain,
% 5.98/4.18 (nextState(constB104, constB105)),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 5.98/4.18 tff(1176,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1177,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1178,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105)))))),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1177, 1176])).
% 5.98/4.18 tff(1179,plain,
% 5.98/4.18 (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1178, 1175, 273])).
% 5.98/4.18 tff(1180,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1181,plain,
% 5.98/4.18 (((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105)))))) <=> ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1182,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))))),
% 5.98/4.18 inference(monotonicity,[status(thm)],[1181])).
% 5.98/4.18 tff(1183,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))),
% 5.98/4.18 inference(transitivity,[status(thm)],[1182, 1180])).
% 5.98/4.18 tff(1184,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105))))))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1185,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1184, 1183])).
% 5.98/4.18 tff(1186,plain,
% 5.98/4.18 (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1185, 1175, 293])).
% 5.98/4.18 tff(1187,plain,
% 5.98/4.18 ((~v1(constB105)) <=> (~v1(constB105))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1188,axiom,(~v1(constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_105')).
% 5.98/4.18 tff(1189,plain,
% 5.98/4.18 (~v1(constB105)),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1188, 1187])).
% 5.98/4.18 tff(1190,plain,
% 5.98/4.18 (((~v1(constB105)) | (~v102(constB105))) | v1(constB105)),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1191,plain,
% 5.98/4.18 ((~v1(constB105)) | (~v102(constB105))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1190, 1189])).
% 5.98/4.18 tff(1192,plain,
% 5.98/4.18 ((~(v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))) | (~v101(constB105)) | (~((~v1(constB105)) | (~v102(constB105))))),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1193,plain,
% 5.98/4.18 ((~(v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))) | (~v101(constB105))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1192, 1191])).
% 5.98/4.18 tff(1194,plain,
% 5.98/4.18 (~v101(constB105)),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1193, 1186])).
% 5.98/4.18 tff(1195,plain,
% 5.98/4.18 (((~v101(constB105)) | (~v110(constB105))) | v101(constB105)),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1196,plain,
% 5.98/4.18 ((~v101(constB105)) | (~v110(constB105))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1195, 1194])).
% 5.98/4.18 tff(1197,plain,
% 5.98/4.18 ((~(v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105)))))) | (~v100(constB105)) | (~((~v101(constB105)) | (~v110(constB105))))),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1198,plain,
% 5.98/4.18 (~v100(constB105)),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1197, 1196, 1179])).
% 5.98/4.18 tff(1199,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 0)) <=> v90(constB104, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 0)) <=> v90(constB104, 0)))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1200,plain,
% 5.98/4.18 ((v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 0)) <=> v90(constB104, 0))))) <=> (v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 0)) <=> v90(constB104, 0)))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1201,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 0)) <=> v90(constB104, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 0)) <=> v90(constB104, 0))))))),
% 5.98/4.18 inference(monotonicity,[status(thm)],[1200])).
% 5.98/4.18 tff(1202,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 0)) <=> v90(constB104, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 0)) <=> v90(constB104, 0)))))),
% 5.98/4.18 inference(transitivity,[status(thm)],[1201, 1199])).
% 5.98/4.18 tff(1203,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 0)) <=> v90(constB104, 0)))))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1204,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 0)) <=> v90(constB104, 0))))),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1203, 1202])).
% 5.98/4.18 tff(1205,plain,
% 5.98/4.18 (v100(constB105) | (~(((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 0)) <=> v90(constB104, 0))))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1204, 1175, 325])).
% 5.98/4.18 tff(1206,plain,
% 5.98/4.18 (~(((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 0)) <=> v90(constB104, 0)))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1205, 1198])).
% 5.98/4.18 tff(1207,plain,
% 5.98/4.18 ((((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 0)) <=> v90(constB104, 0))) | (~((~v90(constB105, 2)) <=> v90(constB104, 2)))),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1208,plain,
% 5.98/4.18 (~((~v90(constB105, 2)) <=> v90(constB104, 2))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1207, 1206])).
% 5.98/4.18 tff(1209,plain,
% 5.98/4.18 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1210,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_103')).
% 5.98/4.18 tff(1211,plain,
% 5.98/4.18 (nextState(constB103, constB104)),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1210, 1209])).
% 5.98/4.18 tff(1212,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB103, constB104)) | (~(((~v129(constB104, 2)) <=> v127(constB103, 2)) | ((~v129(constB104, 1)) <=> v127(constB103, 1)) | ((~v129(constB104, 0)) <=> v127(constB103, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB103, constB104)) | (~(((~v129(constB104, 2)) <=> v127(constB103, 2)) | ((~v129(constB104, 1)) <=> v127(constB103, 1)) | ((~v129(constB104, 0)) <=> v127(constB103, 0)))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1213,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB103, constB104)) | (~(((~v129(constB104, 2)) <=> v127(constB103, 2)) | ((~v129(constB104, 1)) <=> v127(constB103, 1)) | ((~v129(constB104, 0)) <=> v127(constB103, 0)))))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1214,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB103, constB104)) | (~(((~v129(constB104, 2)) <=> v127(constB103, 2)) | ((~v129(constB104, 1)) <=> v127(constB103, 1)) | ((~v129(constB104, 0)) <=> v127(constB103, 0))))),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1213, 1212])).
% 5.98/4.18 tff(1215,plain,
% 5.98/4.18 (~(((~v129(constB104, 2)) <=> v127(constB103, 2)) | ((~v129(constB104, 1)) <=> v127(constB103, 1)) | ((~v129(constB104, 0)) <=> v127(constB103, 0)))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1214, 1211, 348])).
% 5.98/4.18 tff(1216,plain,
% 5.98/4.18 ((((~v129(constB104, 2)) <=> v127(constB103, 2)) | ((~v129(constB104, 1)) <=> v127(constB103, 1)) | ((~v129(constB104, 0)) <=> v127(constB103, 0))) | (~((~v129(constB104, 2)) <=> v127(constB103, 2)))),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1217,plain,
% 5.98/4.18 (~((~v129(constB104, 2)) <=> v127(constB103, 2))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1216, 1215])).
% 5.98/4.18 tff(1218,plain,
% 5.98/4.18 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB103) <=> v26(constB103))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1219,plain,
% 5.98/4.18 (v111(constB103) <=> v26(constB103)),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1218, 367])).
% 5.98/4.18 tff(1220,plain,
% 5.98/4.18 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB103))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1221,plain,
% 5.98/4.18 (~v26(constB103)),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1220, 379])).
% 5.98/4.18 tff(1222,plain,
% 5.98/4.18 ((~(v111(constB103) <=> v26(constB103))) | (~v111(constB103)) | v26(constB103)),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1223,plain,
% 5.98/4.18 ((~(v111(constB103) <=> v26(constB103))) | (~v111(constB103))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1222, 1221])).
% 5.98/4.18 tff(1224,plain,
% 5.98/4.18 (~v111(constB103)),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1223, 1219])).
% 5.98/4.18 tff(1225,plain,
% 5.98/4.18 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB103) | (~(((~v127(constB103, 2)) <=> v130(constB103, 2)) | ((~v127(constB103, 1)) <=> v130(constB103, 1)) | ((~v127(constB103, 0)) <=> v130(constB103, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB103) | (~(((~v127(constB103, 2)) <=> v130(constB103, 2)) | ((~v127(constB103, 1)) <=> v130(constB103, 1)) | ((~v127(constB103, 0)) <=> v130(constB103, 0)))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1226,plain,
% 5.98/4.18 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB103) | (~(((~v127(constB103, 2)) <=> v130(constB103, 2)) | ((~v127(constB103, 1)) <=> v130(constB103, 1)) | ((~v127(constB103, 0)) <=> v130(constB103, 0)))))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1227,plain,
% 5.98/4.18 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB103) | (~(((~v127(constB103, 2)) <=> v130(constB103, 2)) | ((~v127(constB103, 1)) <=> v130(constB103, 1)) | ((~v127(constB103, 0)) <=> v130(constB103, 0))))),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1226, 1225])).
% 5.98/4.18 tff(1228,plain,
% 5.98/4.18 (v111(constB103) | (~(((~v127(constB103, 2)) <=> v130(constB103, 2)) | ((~v127(constB103, 1)) <=> v130(constB103, 1)) | ((~v127(constB103, 0)) <=> v130(constB103, 0))))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1227, 397])).
% 5.98/4.18 tff(1229,plain,
% 5.98/4.18 (~(((~v127(constB103, 2)) <=> v130(constB103, 2)) | ((~v127(constB103, 1)) <=> v130(constB103, 1)) | ((~v127(constB103, 0)) <=> v130(constB103, 0)))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1228, 1224])).
% 5.98/4.18 tff(1230,plain,
% 5.98/4.18 ((((~v127(constB103, 2)) <=> v130(constB103, 2)) | ((~v127(constB103, 1)) <=> v130(constB103, 1)) | ((~v127(constB103, 0)) <=> v130(constB103, 0))) | (~((~v127(constB103, 2)) <=> v130(constB103, 2)))),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1231,plain,
% 5.98/4.18 (~((~v127(constB103, 2)) <=> v130(constB103, 2))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1230, 1229])).
% 5.98/4.18 tff(1232,plain,
% 5.98/4.18 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB103) <=> (~(v90(constB103, 1) | v90(constB103, 0) | (~v90(constB103, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB103) <=> (~(v90(constB103, 1) | v90(constB103, 0) | (~v90(constB103, 2))))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1233,plain,
% 5.98/4.18 ((v123(constB103) <=> (~(v90(constB103, 0) | v90(constB103, 1) | (~v90(constB103, 2))))) <=> (v123(constB103) <=> (~(v90(constB103, 1) | v90(constB103, 0) | (~v90(constB103, 2)))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1234,plain,
% 5.98/4.18 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB103) <=> (~(v90(constB103, 0) | v90(constB103, 1) | (~v90(constB103, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB103) <=> (~(v90(constB103, 1) | v90(constB103, 0) | (~v90(constB103, 2))))))),
% 5.98/4.18 inference(monotonicity,[status(thm)],[1233])).
% 5.98/4.18 tff(1235,plain,
% 5.98/4.18 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB103) <=> (~(v90(constB103, 0) | v90(constB103, 1) | (~v90(constB103, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB103) <=> (~(v90(constB103, 1) | v90(constB103, 0) | (~v90(constB103, 2))))))),
% 5.98/4.18 inference(transitivity,[status(thm)],[1234, 1232])).
% 5.98/4.18 tff(1236,plain,
% 5.98/4.18 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB103) <=> (~(v90(constB103, 0) | v90(constB103, 1) | (~v90(constB103, 2)))))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1237,plain,
% 5.98/4.18 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB103) <=> (~(v90(constB103, 1) | v90(constB103, 0) | (~v90(constB103, 2)))))),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 5.98/4.18 tff(1238,plain,
% 5.98/4.18 (v123(constB103) <=> (~(v90(constB103, 1) | v90(constB103, 0) | (~v90(constB103, 2))))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1237, 565])).
% 5.98/4.18 tff(1239,plain,
% 5.98/4.18 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1240,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_102')).
% 5.98/4.18 tff(1241,plain,
% 5.98/4.18 (nextState(constB102, constB103)),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1240, 1239])).
% 5.98/4.18 tff(1242,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1243,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1244,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103)))))),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1243, 1242])).
% 5.98/4.18 tff(1245,plain,
% 5.98/4.18 (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1244, 1241, 273])).
% 5.98/4.18 tff(1246,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1247,plain,
% 5.98/4.18 (((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103)))))) <=> ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1248,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))))),
% 5.98/4.18 inference(monotonicity,[status(thm)],[1247])).
% 5.98/4.18 tff(1249,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))),
% 5.98/4.18 inference(transitivity,[status(thm)],[1248, 1246])).
% 5.98/4.18 tff(1250,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103))))))),
% 5.98/4.18 inference(quant_inst,[status(thm)],[])).
% 5.98/4.18 tff(1251,plain,
% 5.98/4.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 5.98/4.18 tff(1252,plain,
% 5.98/4.18 (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1251, 1241, 293])).
% 5.98/4.18 tff(1253,plain,
% 5.98/4.18 ((~v1(constB103)) <=> (~v1(constB103))),
% 5.98/4.18 inference(rewrite,[status(thm)],[])).
% 5.98/4.18 tff(1254,axiom,(~v1(constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_103')).
% 5.98/4.18 tff(1255,plain,
% 5.98/4.18 (~v1(constB103)),
% 5.98/4.18 inference(modus_ponens,[status(thm)],[1254, 1253])).
% 5.98/4.18 tff(1256,plain,
% 5.98/4.18 (((~v1(constB103)) | (~v102(constB103))) | v1(constB103)),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1257,plain,
% 5.98/4.18 ((~v1(constB103)) | (~v102(constB103))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1256, 1255])).
% 5.98/4.18 tff(1258,plain,
% 5.98/4.18 ((~(v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))) | (~v101(constB103)) | (~((~v1(constB103)) | (~v102(constB103))))),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1259,plain,
% 5.98/4.18 ((~(v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))) | (~v101(constB103))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1258, 1257])).
% 5.98/4.18 tff(1260,plain,
% 5.98/4.18 (~v101(constB103)),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1259, 1252])).
% 5.98/4.18 tff(1261,plain,
% 5.98/4.18 (((~v101(constB103)) | (~v110(constB103))) | v101(constB103)),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1262,plain,
% 5.98/4.18 ((~v101(constB103)) | (~v110(constB103))),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1261, 1260])).
% 5.98/4.18 tff(1263,plain,
% 5.98/4.18 ((~(v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103)))))) | (~v100(constB103)) | (~((~v101(constB103)) | (~v110(constB103))))),
% 5.98/4.18 inference(tautology,[status(thm)],[])).
% 5.98/4.18 tff(1264,plain,
% 5.98/4.18 (~v100(constB103)),
% 5.98/4.18 inference(unit_resolution,[status(thm)],[1263, 1262, 1245])).
% 5.98/4.18 tff(1265,plain,
% 5.98/4.18 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 0)) <=> v90(constB102, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 0)) <=> v90(constB102, 0)))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1266,plain,
% 5.98/4.19 ((v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 0)) <=> v90(constB102, 0))))) <=> (v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 0)) <=> v90(constB102, 0)))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1267,plain,
% 5.98/4.19 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 0)) <=> v90(constB102, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 0)) <=> v90(constB102, 0))))))),
% 5.98/4.19 inference(monotonicity,[status(thm)],[1266])).
% 5.98/4.19 tff(1268,plain,
% 5.98/4.19 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 0)) <=> v90(constB102, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 0)) <=> v90(constB102, 0)))))),
% 5.98/4.19 inference(transitivity,[status(thm)],[1267, 1265])).
% 5.98/4.19 tff(1269,plain,
% 5.98/4.19 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 0)) <=> v90(constB102, 0)))))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1270,plain,
% 5.98/4.19 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 0)) <=> v90(constB102, 0))))),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 5.98/4.19 tff(1271,plain,
% 5.98/4.19 (v100(constB103) | (~(((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 0)) <=> v90(constB102, 0))))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1270, 1241, 325])).
% 5.98/4.19 tff(1272,plain,
% 5.98/4.19 (~(((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 0)) <=> v90(constB102, 0)))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1271, 1264])).
% 5.98/4.19 tff(1273,plain,
% 5.98/4.19 ((((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 0)) <=> v90(constB102, 0))) | (~((~v90(constB103, 2)) <=> v90(constB102, 2)))),
% 5.98/4.19 inference(tautology,[status(thm)],[])).
% 5.98/4.19 tff(1274,plain,
% 5.98/4.19 (~((~v90(constB103, 2)) <=> v90(constB102, 2))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1273, 1272])).
% 5.98/4.19 tff(1275,plain,
% 5.98/4.19 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1276,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_101')).
% 5.98/4.19 tff(1277,plain,
% 5.98/4.19 (nextState(constB101, constB102)),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1276, 1275])).
% 5.98/4.19 tff(1278,plain,
% 5.98/4.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB101, constB102)) | (~(((~v129(constB102, 2)) <=> v127(constB101, 2)) | ((~v129(constB102, 1)) <=> v127(constB101, 1)) | ((~v129(constB102, 0)) <=> v127(constB101, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB101, constB102)) | (~(((~v129(constB102, 2)) <=> v127(constB101, 2)) | ((~v129(constB102, 1)) <=> v127(constB101, 1)) | ((~v129(constB102, 0)) <=> v127(constB101, 0)))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1279,plain,
% 5.98/4.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB101, constB102)) | (~(((~v129(constB102, 2)) <=> v127(constB101, 2)) | ((~v129(constB102, 1)) <=> v127(constB101, 1)) | ((~v129(constB102, 0)) <=> v127(constB101, 0)))))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1280,plain,
% 5.98/4.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB101, constB102)) | (~(((~v129(constB102, 2)) <=> v127(constB101, 2)) | ((~v129(constB102, 1)) <=> v127(constB101, 1)) | ((~v129(constB102, 0)) <=> v127(constB101, 0))))),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1279, 1278])).
% 5.98/4.19 tff(1281,plain,
% 5.98/4.19 (~(((~v129(constB102, 2)) <=> v127(constB101, 2)) | ((~v129(constB102, 1)) <=> v127(constB101, 1)) | ((~v129(constB102, 0)) <=> v127(constB101, 0)))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1280, 1277, 348])).
% 5.98/4.19 tff(1282,plain,
% 5.98/4.19 ((((~v129(constB102, 2)) <=> v127(constB101, 2)) | ((~v129(constB102, 1)) <=> v127(constB101, 1)) | ((~v129(constB102, 0)) <=> v127(constB101, 0))) | (~((~v129(constB102, 2)) <=> v127(constB101, 2)))),
% 5.98/4.19 inference(tautology,[status(thm)],[])).
% 5.98/4.19 tff(1283,plain,
% 5.98/4.19 (~((~v129(constB102, 2)) <=> v127(constB101, 2))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1282, 1281])).
% 5.98/4.19 tff(1284,plain,
% 5.98/4.19 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB101) <=> v26(constB101))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1285,plain,
% 5.98/4.19 (v111(constB101) <=> v26(constB101)),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1284, 367])).
% 5.98/4.19 tff(1286,plain,
% 5.98/4.19 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB101))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1287,plain,
% 5.98/4.19 (~v26(constB101)),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1286, 379])).
% 5.98/4.19 tff(1288,plain,
% 5.98/4.19 ((~(v111(constB101) <=> v26(constB101))) | (~v111(constB101)) | v26(constB101)),
% 5.98/4.19 inference(tautology,[status(thm)],[])).
% 5.98/4.19 tff(1289,plain,
% 5.98/4.19 ((~(v111(constB101) <=> v26(constB101))) | (~v111(constB101))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1288, 1287])).
% 5.98/4.19 tff(1290,plain,
% 5.98/4.19 (~v111(constB101)),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1289, 1285])).
% 5.98/4.19 tff(1291,plain,
% 5.98/4.19 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB101) | (~(((~v127(constB101, 2)) <=> v130(constB101, 2)) | ((~v127(constB101, 1)) <=> v130(constB101, 1)) | ((~v127(constB101, 0)) <=> v130(constB101, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB101) | (~(((~v127(constB101, 2)) <=> v130(constB101, 2)) | ((~v127(constB101, 1)) <=> v130(constB101, 1)) | ((~v127(constB101, 0)) <=> v130(constB101, 0)))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1292,plain,
% 5.98/4.19 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB101) | (~(((~v127(constB101, 2)) <=> v130(constB101, 2)) | ((~v127(constB101, 1)) <=> v130(constB101, 1)) | ((~v127(constB101, 0)) <=> v130(constB101, 0)))))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1293,plain,
% 5.98/4.19 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB101) | (~(((~v127(constB101, 2)) <=> v130(constB101, 2)) | ((~v127(constB101, 1)) <=> v130(constB101, 1)) | ((~v127(constB101, 0)) <=> v130(constB101, 0))))),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1292, 1291])).
% 5.98/4.19 tff(1294,plain,
% 5.98/4.19 (v111(constB101) | (~(((~v127(constB101, 2)) <=> v130(constB101, 2)) | ((~v127(constB101, 1)) <=> v130(constB101, 1)) | ((~v127(constB101, 0)) <=> v130(constB101, 0))))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1293, 397])).
% 5.98/4.19 tff(1295,plain,
% 5.98/4.19 (~(((~v127(constB101, 2)) <=> v130(constB101, 2)) | ((~v127(constB101, 1)) <=> v130(constB101, 1)) | ((~v127(constB101, 0)) <=> v130(constB101, 0)))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1294, 1290])).
% 5.98/4.19 tff(1296,plain,
% 5.98/4.19 ((((~v127(constB101, 2)) <=> v130(constB101, 2)) | ((~v127(constB101, 1)) <=> v130(constB101, 1)) | ((~v127(constB101, 0)) <=> v130(constB101, 0))) | (~((~v127(constB101, 2)) <=> v130(constB101, 2)))),
% 5.98/4.19 inference(tautology,[status(thm)],[])).
% 5.98/4.19 tff(1297,plain,
% 5.98/4.19 (~((~v127(constB101, 2)) <=> v130(constB101, 2))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1296, 1295])).
% 5.98/4.19 tff(1298,plain,
% 5.98/4.19 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB101) <=> (~(v90(constB101, 2) | (~v90(constB101, 1)) | (~v90(constB101, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB101) <=> (~(v90(constB101, 2) | (~v90(constB101, 1)) | (~v90(constB101, 0))))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1299,plain,
% 5.98/4.19 ((v122(constB101) <=> (~(v90(constB101, 2) | (~v90(constB101, 0)) | (~v90(constB101, 1))))) <=> (v122(constB101) <=> (~(v90(constB101, 2) | (~v90(constB101, 1)) | (~v90(constB101, 0)))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1300,plain,
% 5.98/4.19 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB101) <=> (~(v90(constB101, 2) | (~v90(constB101, 0)) | (~v90(constB101, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB101) <=> (~(v90(constB101, 2) | (~v90(constB101, 1)) | (~v90(constB101, 0))))))),
% 5.98/4.19 inference(monotonicity,[status(thm)],[1299])).
% 5.98/4.19 tff(1301,plain,
% 5.98/4.19 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB101) <=> (~(v90(constB101, 2) | (~v90(constB101, 0)) | (~v90(constB101, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB101) <=> (~(v90(constB101, 2) | (~v90(constB101, 1)) | (~v90(constB101, 0))))))),
% 5.98/4.19 inference(transitivity,[status(thm)],[1300, 1298])).
% 5.98/4.19 tff(1302,plain,
% 5.98/4.19 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB101) <=> (~(v90(constB101, 2) | (~v90(constB101, 0)) | (~v90(constB101, 1)))))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1303,plain,
% 5.98/4.19 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB101) <=> (~(v90(constB101, 2) | (~v90(constB101, 1)) | (~v90(constB101, 0)))))),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1302, 1301])).
% 5.98/4.19 tff(1304,plain,
% 5.98/4.19 (v122(constB101) <=> (~(v90(constB101, 2) | (~v90(constB101, 1)) | (~v90(constB101, 0))))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1303, 644])).
% 5.98/4.19 tff(1305,plain,
% 5.98/4.19 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1306,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_100')).
% 5.98/4.19 tff(1307,plain,
% 5.98/4.19 (nextState(constB100, constB101)),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 5.98/4.19 tff(1308,plain,
% 5.98/4.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1309,plain,
% 5.98/4.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1310,plain,
% 5.98/4.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101)))))),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1309, 1308])).
% 5.98/4.19 tff(1311,plain,
% 5.98/4.19 (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1310, 1307, 273])).
% 5.98/4.19 tff(1312,plain,
% 5.98/4.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1313,plain,
% 5.98/4.19 (((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101)))))) <=> ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1314,plain,
% 5.98/4.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))))),
% 5.98/4.19 inference(monotonicity,[status(thm)],[1313])).
% 5.98/4.19 tff(1315,plain,
% 5.98/4.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))),
% 5.98/4.19 inference(transitivity,[status(thm)],[1314, 1312])).
% 5.98/4.19 tff(1316,plain,
% 5.98/4.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101))))))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1317,plain,
% 5.98/4.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 5.98/4.19 tff(1318,plain,
% 5.98/4.19 (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1317, 1307, 293])).
% 5.98/4.19 tff(1319,plain,
% 5.98/4.19 ((~v1(constB101)) <=> (~v1(constB101))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1320,axiom,(~v1(constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_101')).
% 5.98/4.19 tff(1321,plain,
% 5.98/4.19 (~v1(constB101)),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 5.98/4.19 tff(1322,plain,
% 5.98/4.19 (((~v1(constB101)) | (~v102(constB101))) | v1(constB101)),
% 5.98/4.19 inference(tautology,[status(thm)],[])).
% 5.98/4.19 tff(1323,plain,
% 5.98/4.19 ((~v1(constB101)) | (~v102(constB101))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1322, 1321])).
% 5.98/4.19 tff(1324,plain,
% 5.98/4.19 ((~(v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))) | (~v101(constB101)) | (~((~v1(constB101)) | (~v102(constB101))))),
% 5.98/4.19 inference(tautology,[status(thm)],[])).
% 5.98/4.19 tff(1325,plain,
% 5.98/4.19 ((~(v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))) | (~v101(constB101))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1324, 1323])).
% 5.98/4.19 tff(1326,plain,
% 5.98/4.19 (~v101(constB101)),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1325, 1318])).
% 5.98/4.19 tff(1327,plain,
% 5.98/4.19 (((~v101(constB101)) | (~v110(constB101))) | v101(constB101)),
% 5.98/4.19 inference(tautology,[status(thm)],[])).
% 5.98/4.19 tff(1328,plain,
% 5.98/4.19 ((~v101(constB101)) | (~v110(constB101))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1327, 1326])).
% 5.98/4.19 tff(1329,plain,
% 5.98/4.19 ((~(v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101)))))) | (~v100(constB101)) | (~((~v101(constB101)) | (~v110(constB101))))),
% 5.98/4.19 inference(tautology,[status(thm)],[])).
% 5.98/4.19 tff(1330,plain,
% 5.98/4.19 (~v100(constB101)),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1329, 1328, 1311])).
% 5.98/4.19 tff(1331,plain,
% 5.98/4.19 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 0)) <=> v90(constB100, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 0)) <=> v90(constB100, 0)))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1332,plain,
% 5.98/4.19 ((v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 0)) <=> v90(constB100, 0))))) <=> (v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 0)) <=> v90(constB100, 0)))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1333,plain,
% 5.98/4.19 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 0)) <=> v90(constB100, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 0)) <=> v90(constB100, 0))))))),
% 5.98/4.19 inference(monotonicity,[status(thm)],[1332])).
% 5.98/4.19 tff(1334,plain,
% 5.98/4.19 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 0)) <=> v90(constB100, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 0)) <=> v90(constB100, 0)))))),
% 5.98/4.19 inference(transitivity,[status(thm)],[1333, 1331])).
% 5.98/4.19 tff(1335,plain,
% 5.98/4.19 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 0)) <=> v90(constB100, 0)))))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1336,plain,
% 5.98/4.19 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 0)) <=> v90(constB100, 0))))),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 5.98/4.19 tff(1337,plain,
% 5.98/4.19 (v100(constB101) | (~(((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 0)) <=> v90(constB100, 0))))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1336, 1307, 325])).
% 5.98/4.19 tff(1338,plain,
% 5.98/4.19 (~(((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 0)) <=> v90(constB100, 0)))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1337, 1330])).
% 5.98/4.19 tff(1339,plain,
% 5.98/4.19 ((((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 0)) <=> v90(constB100, 0))) | (~((~v90(constB101, 2)) <=> v90(constB100, 2)))),
% 5.98/4.19 inference(tautology,[status(thm)],[])).
% 5.98/4.19 tff(1340,plain,
% 5.98/4.19 (~((~v90(constB101, 2)) <=> v90(constB100, 2))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1339, 1338])).
% 5.98/4.19 tff(1341,plain,
% 5.98/4.19 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1342,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_99')).
% 5.98/4.19 tff(1343,plain,
% 5.98/4.19 (nextState(constB99, constB100)),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1342, 1341])).
% 5.98/4.19 tff(1344,plain,
% 5.98/4.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB99, constB100)) | (~(((~v129(constB100, 2)) <=> v127(constB99, 2)) | ((~v129(constB100, 1)) <=> v127(constB99, 1)) | ((~v129(constB100, 0)) <=> v127(constB99, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB99, constB100)) | (~(((~v129(constB100, 2)) <=> v127(constB99, 2)) | ((~v129(constB100, 1)) <=> v127(constB99, 1)) | ((~v129(constB100, 0)) <=> v127(constB99, 0)))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1345,plain,
% 5.98/4.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB99, constB100)) | (~(((~v129(constB100, 2)) <=> v127(constB99, 2)) | ((~v129(constB100, 1)) <=> v127(constB99, 1)) | ((~v129(constB100, 0)) <=> v127(constB99, 0)))))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1346,plain,
% 5.98/4.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB99, constB100)) | (~(((~v129(constB100, 2)) <=> v127(constB99, 2)) | ((~v129(constB100, 1)) <=> v127(constB99, 1)) | ((~v129(constB100, 0)) <=> v127(constB99, 0))))),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1345, 1344])).
% 5.98/4.19 tff(1347,plain,
% 5.98/4.19 (~(((~v129(constB100, 2)) <=> v127(constB99, 2)) | ((~v129(constB100, 1)) <=> v127(constB99, 1)) | ((~v129(constB100, 0)) <=> v127(constB99, 0)))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1346, 1343, 348])).
% 5.98/4.19 tff(1348,plain,
% 5.98/4.19 ((((~v129(constB100, 2)) <=> v127(constB99, 2)) | ((~v129(constB100, 1)) <=> v127(constB99, 1)) | ((~v129(constB100, 0)) <=> v127(constB99, 0))) | (~((~v129(constB100, 2)) <=> v127(constB99, 2)))),
% 5.98/4.19 inference(tautology,[status(thm)],[])).
% 5.98/4.19 tff(1349,plain,
% 5.98/4.19 (~((~v129(constB100, 2)) <=> v127(constB99, 2))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1348, 1347])).
% 5.98/4.19 tff(1350,plain,
% 5.98/4.19 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB99) <=> v26(constB99))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1351,plain,
% 5.98/4.19 (v111(constB99) <=> v26(constB99)),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1350, 367])).
% 5.98/4.19 tff(1352,plain,
% 5.98/4.19 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB99))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1353,plain,
% 5.98/4.19 (~v26(constB99)),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1352, 379])).
% 5.98/4.19 tff(1354,plain,
% 5.98/4.19 ((~(v111(constB99) <=> v26(constB99))) | (~v111(constB99)) | v26(constB99)),
% 5.98/4.19 inference(tautology,[status(thm)],[])).
% 5.98/4.19 tff(1355,plain,
% 5.98/4.19 ((~(v111(constB99) <=> v26(constB99))) | (~v111(constB99))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1354, 1353])).
% 5.98/4.19 tff(1356,plain,
% 5.98/4.19 (~v111(constB99)),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1355, 1351])).
% 5.98/4.19 tff(1357,plain,
% 5.98/4.19 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB99) | (~(((~v127(constB99, 2)) <=> v130(constB99, 2)) | ((~v127(constB99, 1)) <=> v130(constB99, 1)) | ((~v127(constB99, 0)) <=> v130(constB99, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB99) | (~(((~v127(constB99, 2)) <=> v130(constB99, 2)) | ((~v127(constB99, 1)) <=> v130(constB99, 1)) | ((~v127(constB99, 0)) <=> v130(constB99, 0)))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1358,plain,
% 5.98/4.19 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB99) | (~(((~v127(constB99, 2)) <=> v130(constB99, 2)) | ((~v127(constB99, 1)) <=> v130(constB99, 1)) | ((~v127(constB99, 0)) <=> v130(constB99, 0)))))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1359,plain,
% 5.98/4.19 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB99) | (~(((~v127(constB99, 2)) <=> v130(constB99, 2)) | ((~v127(constB99, 1)) <=> v130(constB99, 1)) | ((~v127(constB99, 0)) <=> v130(constB99, 0))))),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1358, 1357])).
% 5.98/4.19 tff(1360,plain,
% 5.98/4.19 (v111(constB99) | (~(((~v127(constB99, 2)) <=> v130(constB99, 2)) | ((~v127(constB99, 1)) <=> v130(constB99, 1)) | ((~v127(constB99, 0)) <=> v130(constB99, 0))))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1359, 397])).
% 5.98/4.19 tff(1361,plain,
% 5.98/4.19 (~(((~v127(constB99, 2)) <=> v130(constB99, 2)) | ((~v127(constB99, 1)) <=> v130(constB99, 1)) | ((~v127(constB99, 0)) <=> v130(constB99, 0)))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1360, 1356])).
% 5.98/4.19 tff(1362,plain,
% 5.98/4.19 ((((~v127(constB99, 2)) <=> v130(constB99, 2)) | ((~v127(constB99, 1)) <=> v130(constB99, 1)) | ((~v127(constB99, 0)) <=> v130(constB99, 0))) | (~((~v127(constB99, 2)) <=> v130(constB99, 2)))),
% 5.98/4.19 inference(tautology,[status(thm)],[])).
% 5.98/4.19 tff(1363,plain,
% 5.98/4.19 (~((~v127(constB99, 2)) <=> v130(constB99, 2))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1362, 1361])).
% 5.98/4.19 tff(1364,plain,
% 5.98/4.19 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB99) <=> (~(v90(constB99, 2) | v90(constB99, 0) | (~v90(constB99, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB99) <=> (~(v90(constB99, 2) | v90(constB99, 0) | (~v90(constB99, 1))))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1365,plain,
% 5.98/4.19 ((v121(constB99) <=> (~(v90(constB99, 0) | v90(constB99, 2) | (~v90(constB99, 1))))) <=> (v121(constB99) <=> (~(v90(constB99, 2) | v90(constB99, 0) | (~v90(constB99, 1)))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1366,plain,
% 5.98/4.19 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB99) <=> (~(v90(constB99, 0) | v90(constB99, 2) | (~v90(constB99, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB99) <=> (~(v90(constB99, 2) | v90(constB99, 0) | (~v90(constB99, 1))))))),
% 5.98/4.19 inference(monotonicity,[status(thm)],[1365])).
% 5.98/4.19 tff(1367,plain,
% 5.98/4.19 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB99) <=> (~(v90(constB99, 0) | v90(constB99, 2) | (~v90(constB99, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB99) <=> (~(v90(constB99, 2) | v90(constB99, 0) | (~v90(constB99, 1))))))),
% 5.98/4.19 inference(transitivity,[status(thm)],[1366, 1364])).
% 5.98/4.19 tff(1368,plain,
% 5.98/4.19 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB99) <=> (~(v90(constB99, 0) | v90(constB99, 2) | (~v90(constB99, 1)))))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1369,plain,
% 5.98/4.19 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB99) <=> (~(v90(constB99, 2) | v90(constB99, 0) | (~v90(constB99, 1)))))),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1368, 1367])).
% 5.98/4.19 tff(1370,plain,
% 5.98/4.19 (v121(constB99) <=> (~(v90(constB99, 2) | v90(constB99, 0) | (~v90(constB99, 1))))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1369, 723])).
% 5.98/4.19 tff(1371,plain,
% 5.98/4.19 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1372,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_98')).
% 5.98/4.19 tff(1373,plain,
% 5.98/4.19 (nextState(constB98, constB99)),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 5.98/4.19 tff(1374,plain,
% 5.98/4.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1375,plain,
% 5.98/4.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))))),
% 5.98/4.19 inference(quant_inst,[status(thm)],[])).
% 5.98/4.19 tff(1376,plain,
% 5.98/4.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99)))))),
% 5.98/4.19 inference(modus_ponens,[status(thm)],[1375, 1374])).
% 5.98/4.19 tff(1377,plain,
% 5.98/4.19 (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))),
% 5.98/4.19 inference(unit_resolution,[status(thm)],[1376, 1373, 273])).
% 5.98/4.19 tff(1378,plain,
% 5.98/4.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1379,plain,
% 5.98/4.19 (((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99)))))) <=> ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))),
% 5.98/4.19 inference(rewrite,[status(thm)],[])).
% 5.98/4.19 tff(1380,plain,
% 5.98/4.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))))),
% 5.98/4.19 inference(monotonicity,[status(thm)],[1379])).
% 5.98/4.19 tff(1381,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))),
% 5.98/4.20 inference(transitivity,[status(thm)],[1380, 1378])).
% 5.98/4.20 tff(1382,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99))))))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1383,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 5.98/4.20 tff(1384,plain,
% 5.98/4.20 (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1383, 1373, 293])).
% 5.98/4.20 tff(1385,plain,
% 5.98/4.20 ((~v1(constB99)) <=> (~v1(constB99))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1386,axiom,(~v1(constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_99')).
% 5.98/4.20 tff(1387,plain,
% 5.98/4.20 (~v1(constB99)),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 5.98/4.20 tff(1388,plain,
% 5.98/4.20 (((~v1(constB99)) | (~v102(constB99))) | v1(constB99)),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1389,plain,
% 5.98/4.20 ((~v1(constB99)) | (~v102(constB99))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1388, 1387])).
% 5.98/4.20 tff(1390,plain,
% 5.98/4.20 ((~(v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))) | (~v101(constB99)) | (~((~v1(constB99)) | (~v102(constB99))))),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1391,plain,
% 5.98/4.20 ((~(v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))) | (~v101(constB99))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1390, 1389])).
% 5.98/4.20 tff(1392,plain,
% 5.98/4.20 (~v101(constB99)),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1391, 1384])).
% 5.98/4.20 tff(1393,plain,
% 5.98/4.20 (((~v101(constB99)) | (~v110(constB99))) | v101(constB99)),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1394,plain,
% 5.98/4.20 ((~v101(constB99)) | (~v110(constB99))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1393, 1392])).
% 5.98/4.20 tff(1395,plain,
% 5.98/4.20 ((~(v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99)))))) | (~v100(constB99)) | (~((~v101(constB99)) | (~v110(constB99))))),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1396,plain,
% 5.98/4.20 (~v100(constB99)),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1395, 1394, 1377])).
% 5.98/4.20 tff(1397,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 0)) <=> v90(constB98, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 0)) <=> v90(constB98, 0)))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1398,plain,
% 5.98/4.20 ((v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 0)) <=> v90(constB98, 0))))) <=> (v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 0)) <=> v90(constB98, 0)))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1399,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 0)) <=> v90(constB98, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 0)) <=> v90(constB98, 0))))))),
% 5.98/4.20 inference(monotonicity,[status(thm)],[1398])).
% 5.98/4.20 tff(1400,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 0)) <=> v90(constB98, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 0)) <=> v90(constB98, 0)))))),
% 5.98/4.20 inference(transitivity,[status(thm)],[1399, 1397])).
% 5.98/4.20 tff(1401,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 0)) <=> v90(constB98, 0)))))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1402,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 0)) <=> v90(constB98, 0))))),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 5.98/4.20 tff(1403,plain,
% 5.98/4.20 (v100(constB99) | (~(((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 0)) <=> v90(constB98, 0))))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1402, 1373, 325])).
% 5.98/4.20 tff(1404,plain,
% 5.98/4.20 (~(((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 0)) <=> v90(constB98, 0)))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1403, 1396])).
% 5.98/4.20 tff(1405,plain,
% 5.98/4.20 ((((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 0)) <=> v90(constB98, 0))) | (~((~v90(constB99, 2)) <=> v90(constB98, 2)))),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1406,plain,
% 5.98/4.20 (~((~v90(constB99, 2)) <=> v90(constB98, 2))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1405, 1404])).
% 5.98/4.20 tff(1407,plain,
% 5.98/4.20 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1408,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_97')).
% 5.98/4.20 tff(1409,plain,
% 5.98/4.20 (nextState(constB97, constB98)),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1408, 1407])).
% 5.98/4.20 tff(1410,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB97, constB98)) | (~(((~v129(constB98, 2)) <=> v127(constB97, 2)) | ((~v129(constB98, 1)) <=> v127(constB97, 1)) | ((~v129(constB98, 0)) <=> v127(constB97, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB97, constB98)) | (~(((~v129(constB98, 2)) <=> v127(constB97, 2)) | ((~v129(constB98, 1)) <=> v127(constB97, 1)) | ((~v129(constB98, 0)) <=> v127(constB97, 0)))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1411,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB97, constB98)) | (~(((~v129(constB98, 2)) <=> v127(constB97, 2)) | ((~v129(constB98, 1)) <=> v127(constB97, 1)) | ((~v129(constB98, 0)) <=> v127(constB97, 0)))))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1412,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB97, constB98)) | (~(((~v129(constB98, 2)) <=> v127(constB97, 2)) | ((~v129(constB98, 1)) <=> v127(constB97, 1)) | ((~v129(constB98, 0)) <=> v127(constB97, 0))))),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1411, 1410])).
% 5.98/4.20 tff(1413,plain,
% 5.98/4.20 (~(((~v129(constB98, 2)) <=> v127(constB97, 2)) | ((~v129(constB98, 1)) <=> v127(constB97, 1)) | ((~v129(constB98, 0)) <=> v127(constB97, 0)))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1412, 1409, 348])).
% 5.98/4.20 tff(1414,plain,
% 5.98/4.20 ((((~v129(constB98, 2)) <=> v127(constB97, 2)) | ((~v129(constB98, 1)) <=> v127(constB97, 1)) | ((~v129(constB98, 0)) <=> v127(constB97, 0))) | (~((~v129(constB98, 2)) <=> v127(constB97, 2)))),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1415,plain,
% 5.98/4.20 (~((~v129(constB98, 2)) <=> v127(constB97, 2))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1414, 1413])).
% 5.98/4.20 tff(1416,plain,
% 5.98/4.20 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB97) <=> v26(constB97))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1417,plain,
% 5.98/4.20 (v111(constB97) <=> v26(constB97)),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1416, 367])).
% 5.98/4.20 tff(1418,plain,
% 5.98/4.20 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB97))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1419,plain,
% 5.98/4.20 (~v26(constB97)),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1418, 379])).
% 5.98/4.20 tff(1420,plain,
% 5.98/4.20 ((~(v111(constB97) <=> v26(constB97))) | (~v111(constB97)) | v26(constB97)),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1421,plain,
% 5.98/4.20 ((~(v111(constB97) <=> v26(constB97))) | (~v111(constB97))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1420, 1419])).
% 5.98/4.20 tff(1422,plain,
% 5.98/4.20 (~v111(constB97)),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1421, 1417])).
% 5.98/4.20 tff(1423,plain,
% 5.98/4.20 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB97) | (~(((~v127(constB97, 2)) <=> v130(constB97, 2)) | ((~v127(constB97, 1)) <=> v130(constB97, 1)) | ((~v127(constB97, 0)) <=> v130(constB97, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB97) | (~(((~v127(constB97, 2)) <=> v130(constB97, 2)) | ((~v127(constB97, 1)) <=> v130(constB97, 1)) | ((~v127(constB97, 0)) <=> v130(constB97, 0)))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1424,plain,
% 5.98/4.20 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB97) | (~(((~v127(constB97, 2)) <=> v130(constB97, 2)) | ((~v127(constB97, 1)) <=> v130(constB97, 1)) | ((~v127(constB97, 0)) <=> v130(constB97, 0)))))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1425,plain,
% 5.98/4.20 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB97) | (~(((~v127(constB97, 2)) <=> v130(constB97, 2)) | ((~v127(constB97, 1)) <=> v130(constB97, 1)) | ((~v127(constB97, 0)) <=> v130(constB97, 0))))),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 5.98/4.20 tff(1426,plain,
% 5.98/4.20 (v111(constB97) | (~(((~v127(constB97, 2)) <=> v130(constB97, 2)) | ((~v127(constB97, 1)) <=> v130(constB97, 1)) | ((~v127(constB97, 0)) <=> v130(constB97, 0))))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1425, 397])).
% 5.98/4.20 tff(1427,plain,
% 5.98/4.20 (~(((~v127(constB97, 2)) <=> v130(constB97, 2)) | ((~v127(constB97, 1)) <=> v130(constB97, 1)) | ((~v127(constB97, 0)) <=> v130(constB97, 0)))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1426, 1422])).
% 5.98/4.20 tff(1428,plain,
% 5.98/4.20 ((((~v127(constB97, 2)) <=> v130(constB97, 2)) | ((~v127(constB97, 1)) <=> v130(constB97, 1)) | ((~v127(constB97, 0)) <=> v130(constB97, 0))) | (~((~v127(constB97, 2)) <=> v130(constB97, 2)))),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1429,plain,
% 5.98/4.20 (~((~v127(constB97, 2)) <=> v130(constB97, 2))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1428, 1427])).
% 5.98/4.20 tff(1430,plain,
% 5.98/4.20 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB97) <=> (~(v90(constB97, 1) | v90(constB97, 2) | (~v90(constB97, 0)))))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1431,plain,
% 5.98/4.20 (v120(constB97) <=> (~(v90(constB97, 1) | v90(constB97, 2) | (~v90(constB97, 0))))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1430, 417])).
% 5.98/4.20 tff(1432,plain,
% 5.98/4.20 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1433,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_96')).
% 5.98/4.20 tff(1434,plain,
% 5.98/4.20 (nextState(constB96, constB97)),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1433, 1432])).
% 5.98/4.20 tff(1435,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1436,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1437,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97)))))),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1436, 1435])).
% 5.98/4.20 tff(1438,plain,
% 5.98/4.20 (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1437, 1434, 273])).
% 5.98/4.20 tff(1439,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1440,plain,
% 5.98/4.20 (((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97)))))) <=> ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1441,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))))),
% 5.98/4.20 inference(monotonicity,[status(thm)],[1440])).
% 5.98/4.20 tff(1442,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))),
% 5.98/4.20 inference(transitivity,[status(thm)],[1441, 1439])).
% 5.98/4.20 tff(1443,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97))))))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1444,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1443, 1442])).
% 5.98/4.20 tff(1445,plain,
% 5.98/4.20 (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1444, 1434, 293])).
% 5.98/4.20 tff(1446,plain,
% 5.98/4.20 ((~v1(constB97)) <=> (~v1(constB97))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1447,axiom,(~v1(constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_97')).
% 5.98/4.20 tff(1448,plain,
% 5.98/4.20 (~v1(constB97)),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1447, 1446])).
% 5.98/4.20 tff(1449,plain,
% 5.98/4.20 (((~v1(constB97)) | (~v102(constB97))) | v1(constB97)),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1450,plain,
% 5.98/4.20 ((~v1(constB97)) | (~v102(constB97))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1449, 1448])).
% 5.98/4.20 tff(1451,plain,
% 5.98/4.20 ((~(v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))) | (~v101(constB97)) | (~((~v1(constB97)) | (~v102(constB97))))),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1452,plain,
% 5.98/4.20 ((~(v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))) | (~v101(constB97))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1451, 1450])).
% 5.98/4.20 tff(1453,plain,
% 5.98/4.20 (~v101(constB97)),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1452, 1445])).
% 5.98/4.20 tff(1454,plain,
% 5.98/4.20 (((~v101(constB97)) | (~v110(constB97))) | v101(constB97)),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1455,plain,
% 5.98/4.20 ((~v101(constB97)) | (~v110(constB97))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1454, 1453])).
% 5.98/4.20 tff(1456,plain,
% 5.98/4.20 ((~(v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97)))))) | (~v100(constB97)) | (~((~v101(constB97)) | (~v110(constB97))))),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1457,plain,
% 5.98/4.20 (~v100(constB97)),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1456, 1455, 1438])).
% 5.98/4.20 tff(1458,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 0)) <=> v90(constB96, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 0)) <=> v90(constB96, 0)))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1459,plain,
% 5.98/4.20 ((v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 0)) <=> v90(constB96, 0))))) <=> (v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 0)) <=> v90(constB96, 0)))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1460,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 0)) <=> v90(constB96, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 0)) <=> v90(constB96, 0))))))),
% 5.98/4.20 inference(monotonicity,[status(thm)],[1459])).
% 5.98/4.20 tff(1461,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 0)) <=> v90(constB96, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 0)) <=> v90(constB96, 0)))))),
% 5.98/4.20 inference(transitivity,[status(thm)],[1460, 1458])).
% 5.98/4.20 tff(1462,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 0)) <=> v90(constB96, 0)))))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1463,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 0)) <=> v90(constB96, 0))))),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1462, 1461])).
% 5.98/4.20 tff(1464,plain,
% 5.98/4.20 (v100(constB97) | (~(((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 0)) <=> v90(constB96, 0))))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1463, 1434, 325])).
% 5.98/4.20 tff(1465,plain,
% 5.98/4.20 (~(((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 0)) <=> v90(constB96, 0)))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1464, 1457])).
% 5.98/4.20 tff(1466,plain,
% 5.98/4.20 ((((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 0)) <=> v90(constB96, 0))) | (~((~v90(constB97, 2)) <=> v90(constB96, 2)))),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1467,plain,
% 5.98/4.20 (~((~v90(constB97, 2)) <=> v90(constB96, 2))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1466, 1465])).
% 5.98/4.20 tff(1468,plain,
% 5.98/4.20 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1469,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_95')).
% 5.98/4.20 tff(1470,plain,
% 5.98/4.20 (nextState(constB95, constB96)),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1469, 1468])).
% 5.98/4.20 tff(1471,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB95, constB96)) | (~(((~v129(constB96, 2)) <=> v127(constB95, 2)) | ((~v129(constB96, 1)) <=> v127(constB95, 1)) | ((~v129(constB96, 0)) <=> v127(constB95, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB95, constB96)) | (~(((~v129(constB96, 2)) <=> v127(constB95, 2)) | ((~v129(constB96, 1)) <=> v127(constB95, 1)) | ((~v129(constB96, 0)) <=> v127(constB95, 0)))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1472,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB95, constB96)) | (~(((~v129(constB96, 2)) <=> v127(constB95, 2)) | ((~v129(constB96, 1)) <=> v127(constB95, 1)) | ((~v129(constB96, 0)) <=> v127(constB95, 0)))))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1473,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB95, constB96)) | (~(((~v129(constB96, 2)) <=> v127(constB95, 2)) | ((~v129(constB96, 1)) <=> v127(constB95, 1)) | ((~v129(constB96, 0)) <=> v127(constB95, 0))))),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1472, 1471])).
% 5.98/4.20 tff(1474,plain,
% 5.98/4.20 (~(((~v129(constB96, 2)) <=> v127(constB95, 2)) | ((~v129(constB96, 1)) <=> v127(constB95, 1)) | ((~v129(constB96, 0)) <=> v127(constB95, 0)))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1473, 1470, 348])).
% 5.98/4.20 tff(1475,plain,
% 5.98/4.20 ((((~v129(constB96, 2)) <=> v127(constB95, 2)) | ((~v129(constB96, 1)) <=> v127(constB95, 1)) | ((~v129(constB96, 0)) <=> v127(constB95, 0))) | (~((~v129(constB96, 2)) <=> v127(constB95, 2)))),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1476,plain,
% 5.98/4.20 (~((~v129(constB96, 2)) <=> v127(constB95, 2))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1475, 1474])).
% 5.98/4.20 tff(1477,plain,
% 5.98/4.20 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB95) <=> v26(constB95))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1478,plain,
% 5.98/4.20 (v111(constB95) <=> v26(constB95)),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1477, 367])).
% 5.98/4.20 tff(1479,plain,
% 5.98/4.20 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB95))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1480,plain,
% 5.98/4.20 (~v26(constB95)),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1479, 379])).
% 5.98/4.20 tff(1481,plain,
% 5.98/4.20 ((~(v111(constB95) <=> v26(constB95))) | (~v111(constB95)) | v26(constB95)),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1482,plain,
% 5.98/4.20 ((~(v111(constB95) <=> v26(constB95))) | (~v111(constB95))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1481, 1480])).
% 5.98/4.20 tff(1483,plain,
% 5.98/4.20 (~v111(constB95)),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1482, 1478])).
% 5.98/4.20 tff(1484,plain,
% 5.98/4.20 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB95) | (~(((~v127(constB95, 2)) <=> v130(constB95, 2)) | ((~v127(constB95, 1)) <=> v130(constB95, 1)) | ((~v127(constB95, 0)) <=> v130(constB95, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB95) | (~(((~v127(constB95, 2)) <=> v130(constB95, 2)) | ((~v127(constB95, 1)) <=> v130(constB95, 1)) | ((~v127(constB95, 0)) <=> v130(constB95, 0)))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1485,plain,
% 5.98/4.20 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB95) | (~(((~v127(constB95, 2)) <=> v130(constB95, 2)) | ((~v127(constB95, 1)) <=> v130(constB95, 1)) | ((~v127(constB95, 0)) <=> v130(constB95, 0)))))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1486,plain,
% 5.98/4.20 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB95) | (~(((~v127(constB95, 2)) <=> v130(constB95, 2)) | ((~v127(constB95, 1)) <=> v130(constB95, 1)) | ((~v127(constB95, 0)) <=> v130(constB95, 0))))),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1485, 1484])).
% 5.98/4.20 tff(1487,plain,
% 5.98/4.20 (v111(constB95) | (~(((~v127(constB95, 2)) <=> v130(constB95, 2)) | ((~v127(constB95, 1)) <=> v130(constB95, 1)) | ((~v127(constB95, 0)) <=> v130(constB95, 0))))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1486, 397])).
% 5.98/4.20 tff(1488,plain,
% 5.98/4.20 (~(((~v127(constB95, 2)) <=> v130(constB95, 2)) | ((~v127(constB95, 1)) <=> v130(constB95, 1)) | ((~v127(constB95, 0)) <=> v130(constB95, 0)))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1487, 1483])).
% 5.98/4.20 tff(1489,plain,
% 5.98/4.20 ((((~v127(constB95, 2)) <=> v130(constB95, 2)) | ((~v127(constB95, 1)) <=> v130(constB95, 1)) | ((~v127(constB95, 0)) <=> v130(constB95, 0))) | (~((~v127(constB95, 2)) <=> v130(constB95, 2)))),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1490,plain,
% 5.98/4.20 (~((~v127(constB95, 2)) <=> v130(constB95, 2))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1489, 1488])).
% 5.98/4.20 tff(1491,plain,
% 5.98/4.20 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB95) <=> (~(v90(constB95, 1) | v90(constB95, 2) | (~v90(constB95, 0)))))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1492,plain,
% 5.98/4.20 (v120(constB95) <=> (~(v90(constB95, 1) | v90(constB95, 2) | (~v90(constB95, 0))))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1491, 417])).
% 5.98/4.20 tff(1493,plain,
% 5.98/4.20 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1494,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_94')).
% 5.98/4.20 tff(1495,plain,
% 5.98/4.20 (nextState(constB94, constB95)),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1494, 1493])).
% 5.98/4.20 tff(1496,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1497,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1498,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95)))))),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1497, 1496])).
% 5.98/4.20 tff(1499,plain,
% 5.98/4.20 (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1498, 1495, 273])).
% 5.98/4.20 tff(1500,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1501,plain,
% 5.98/4.20 (((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95)))))) <=> ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1502,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))))),
% 5.98/4.20 inference(monotonicity,[status(thm)],[1501])).
% 5.98/4.20 tff(1503,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))),
% 5.98/4.20 inference(transitivity,[status(thm)],[1502, 1500])).
% 5.98/4.20 tff(1504,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95))))))),
% 5.98/4.20 inference(quant_inst,[status(thm)],[])).
% 5.98/4.20 tff(1505,plain,
% 5.98/4.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 5.98/4.20 tff(1506,plain,
% 5.98/4.20 (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1505, 1495, 293])).
% 5.98/4.20 tff(1507,plain,
% 5.98/4.20 ((~v1(constB95)) <=> (~v1(constB95))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1508,axiom,(~v1(constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_95')).
% 5.98/4.20 tff(1509,plain,
% 5.98/4.20 (~v1(constB95)),
% 5.98/4.20 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 5.98/4.20 tff(1510,plain,
% 5.98/4.20 (((~v1(constB95)) | (~v102(constB95))) | v1(constB95)),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1511,plain,
% 5.98/4.20 ((~v1(constB95)) | (~v102(constB95))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1510, 1509])).
% 5.98/4.20 tff(1512,plain,
% 5.98/4.20 ((~(v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))) | (~v101(constB95)) | (~((~v1(constB95)) | (~v102(constB95))))),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1513,plain,
% 5.98/4.20 ((~(v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))) | (~v101(constB95))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1512, 1511])).
% 5.98/4.20 tff(1514,plain,
% 5.98/4.20 (~v101(constB95)),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1513, 1506])).
% 5.98/4.20 tff(1515,plain,
% 5.98/4.20 (((~v101(constB95)) | (~v110(constB95))) | v101(constB95)),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1516,plain,
% 5.98/4.20 ((~v101(constB95)) | (~v110(constB95))),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1515, 1514])).
% 5.98/4.20 tff(1517,plain,
% 5.98/4.20 ((~(v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95)))))) | (~v100(constB95)) | (~((~v101(constB95)) | (~v110(constB95))))),
% 5.98/4.20 inference(tautology,[status(thm)],[])).
% 5.98/4.20 tff(1518,plain,
% 5.98/4.20 (~v100(constB95)),
% 5.98/4.20 inference(unit_resolution,[status(thm)],[1517, 1516, 1499])).
% 5.98/4.20 tff(1519,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 0)) <=> v90(constB94, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 0)) <=> v90(constB94, 0)))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1520,plain,
% 5.98/4.20 ((v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 0)) <=> v90(constB94, 0))))) <=> (v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 0)) <=> v90(constB94, 0)))))),
% 5.98/4.20 inference(rewrite,[status(thm)],[])).
% 5.98/4.20 tff(1521,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 0)) <=> v90(constB94, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 0)) <=> v90(constB94, 0))))))),
% 5.98/4.20 inference(monotonicity,[status(thm)],[1520])).
% 5.98/4.20 tff(1522,plain,
% 5.98/4.20 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 0)) <=> v90(constB94, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 0)) <=> v90(constB94, 0)))))),
% 5.98/4.21 inference(transitivity,[status(thm)],[1521, 1519])).
% 5.98/4.21 tff(1523,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 0)) <=> v90(constB94, 0)))))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1524,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 0)) <=> v90(constB94, 0))))),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1523, 1522])).
% 5.98/4.21 tff(1525,plain,
% 5.98/4.21 (v100(constB95) | (~(((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 0)) <=> v90(constB94, 0))))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1524, 1495, 325])).
% 5.98/4.21 tff(1526,plain,
% 5.98/4.21 (~(((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 0)) <=> v90(constB94, 0)))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1525, 1518])).
% 5.98/4.21 tff(1527,plain,
% 5.98/4.21 ((((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 0)) <=> v90(constB94, 0))) | (~((~v90(constB95, 0)) <=> v90(constB94, 0)))),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1528,plain,
% 5.98/4.21 (~((~v90(constB95, 0)) <=> v90(constB94, 0))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1527, 1526])).
% 5.98/4.21 tff(1529,plain,
% 5.98/4.21 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1530,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_93')).
% 5.98/4.21 tff(1531,plain,
% 5.98/4.21 (nextState(constB93, constB94)),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1530, 1529])).
% 5.98/4.21 tff(1532,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB93, constB94)) | (~(((~v129(constB94, 2)) <=> v127(constB93, 2)) | ((~v129(constB94, 1)) <=> v127(constB93, 1)) | ((~v129(constB94, 0)) <=> v127(constB93, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB93, constB94)) | (~(((~v129(constB94, 2)) <=> v127(constB93, 2)) | ((~v129(constB94, 1)) <=> v127(constB93, 1)) | ((~v129(constB94, 0)) <=> v127(constB93, 0)))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1533,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB93, constB94)) | (~(((~v129(constB94, 2)) <=> v127(constB93, 2)) | ((~v129(constB94, 1)) <=> v127(constB93, 1)) | ((~v129(constB94, 0)) <=> v127(constB93, 0)))))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1534,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB93, constB94)) | (~(((~v129(constB94, 2)) <=> v127(constB93, 2)) | ((~v129(constB94, 1)) <=> v127(constB93, 1)) | ((~v129(constB94, 0)) <=> v127(constB93, 0))))),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1533, 1532])).
% 5.98/4.21 tff(1535,plain,
% 5.98/4.21 (~(((~v129(constB94, 2)) <=> v127(constB93, 2)) | ((~v129(constB94, 1)) <=> v127(constB93, 1)) | ((~v129(constB94, 0)) <=> v127(constB93, 0)))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1534, 1531, 348])).
% 5.98/4.21 tff(1536,plain,
% 5.98/4.21 ((((~v129(constB94, 2)) <=> v127(constB93, 2)) | ((~v129(constB94, 1)) <=> v127(constB93, 1)) | ((~v129(constB94, 0)) <=> v127(constB93, 0))) | (~((~v129(constB94, 0)) <=> v127(constB93, 0)))),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1537,plain,
% 5.98/4.21 (~((~v129(constB94, 0)) <=> v127(constB93, 0))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1536, 1535])).
% 5.98/4.21 tff(1538,plain,
% 5.98/4.21 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB93) <=> v26(constB93))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1539,plain,
% 5.98/4.21 (v111(constB93) <=> v26(constB93)),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1538, 367])).
% 5.98/4.21 tff(1540,plain,
% 5.98/4.21 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB93))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1541,plain,
% 5.98/4.21 (~v26(constB93)),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1540, 379])).
% 5.98/4.21 tff(1542,plain,
% 5.98/4.21 ((~(v111(constB93) <=> v26(constB93))) | (~v111(constB93)) | v26(constB93)),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1543,plain,
% 5.98/4.21 ((~(v111(constB93) <=> v26(constB93))) | (~v111(constB93))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1542, 1541])).
% 5.98/4.21 tff(1544,plain,
% 5.98/4.21 (~v111(constB93)),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1543, 1539])).
% 5.98/4.21 tff(1545,plain,
% 5.98/4.21 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB93) | (~(((~v127(constB93, 2)) <=> v130(constB93, 2)) | ((~v127(constB93, 1)) <=> v130(constB93, 1)) | ((~v127(constB93, 0)) <=> v130(constB93, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB93) | (~(((~v127(constB93, 2)) <=> v130(constB93, 2)) | ((~v127(constB93, 1)) <=> v130(constB93, 1)) | ((~v127(constB93, 0)) <=> v130(constB93, 0)))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1546,plain,
% 5.98/4.21 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB93) | (~(((~v127(constB93, 2)) <=> v130(constB93, 2)) | ((~v127(constB93, 1)) <=> v130(constB93, 1)) | ((~v127(constB93, 0)) <=> v130(constB93, 0)))))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1547,plain,
% 5.98/4.21 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB93) | (~(((~v127(constB93, 2)) <=> v130(constB93, 2)) | ((~v127(constB93, 1)) <=> v130(constB93, 1)) | ((~v127(constB93, 0)) <=> v130(constB93, 0))))),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1546, 1545])).
% 5.98/4.21 tff(1548,plain,
% 5.98/4.21 (v111(constB93) | (~(((~v127(constB93, 2)) <=> v130(constB93, 2)) | ((~v127(constB93, 1)) <=> v130(constB93, 1)) | ((~v127(constB93, 0)) <=> v130(constB93, 0))))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1547, 397])).
% 5.98/4.21 tff(1549,plain,
% 5.98/4.21 (~(((~v127(constB93, 2)) <=> v130(constB93, 2)) | ((~v127(constB93, 1)) <=> v130(constB93, 1)) | ((~v127(constB93, 0)) <=> v130(constB93, 0)))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1548, 1544])).
% 5.98/4.21 tff(1550,plain,
% 5.98/4.21 ((((~v127(constB93, 2)) <=> v130(constB93, 2)) | ((~v127(constB93, 1)) <=> v130(constB93, 1)) | ((~v127(constB93, 0)) <=> v130(constB93, 0))) | (~((~v127(constB93, 0)) <=> v130(constB93, 0)))),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1551,plain,
% 5.98/4.21 (~((~v127(constB93, 0)) <=> v130(constB93, 0))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1550, 1549])).
% 5.98/4.21 tff(1552,plain,
% 5.98/4.21 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB93) <=> (~(v90(constB93, 1) | v90(constB93, 0) | (~v90(constB93, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB93) <=> (~(v90(constB93, 1) | v90(constB93, 0) | (~v90(constB93, 2))))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1553,plain,
% 5.98/4.21 ((v123(constB93) <=> (~(v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2))))) <=> (v123(constB93) <=> (~(v90(constB93, 1) | v90(constB93, 0) | (~v90(constB93, 2)))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1554,plain,
% 5.98/4.21 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB93) <=> (~(v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB93) <=> (~(v90(constB93, 1) | v90(constB93, 0) | (~v90(constB93, 2))))))),
% 5.98/4.21 inference(monotonicity,[status(thm)],[1553])).
% 5.98/4.21 tff(1555,plain,
% 5.98/4.21 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB93) <=> (~(v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB93) <=> (~(v90(constB93, 1) | v90(constB93, 0) | (~v90(constB93, 2))))))),
% 5.98/4.21 inference(transitivity,[status(thm)],[1554, 1552])).
% 5.98/4.21 tff(1556,plain,
% 5.98/4.21 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB93) <=> (~(v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)))))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1557,plain,
% 5.98/4.21 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB93) <=> (~(v90(constB93, 1) | v90(constB93, 0) | (~v90(constB93, 2)))))),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 5.98/4.21 tff(1558,plain,
% 5.98/4.21 (v123(constB93) <=> (~(v90(constB93, 1) | v90(constB93, 0) | (~v90(constB93, 2))))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1557, 565])).
% 5.98/4.21 tff(1559,plain,
% 5.98/4.21 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1560,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_92')).
% 5.98/4.21 tff(1561,plain,
% 5.98/4.21 (nextState(constB92, constB93)),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1560, 1559])).
% 5.98/4.21 tff(1562,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1563,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1564,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93)))))),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1563, 1562])).
% 5.98/4.21 tff(1565,plain,
% 5.98/4.21 (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1564, 1561, 273])).
% 5.98/4.21 tff(1566,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1567,plain,
% 5.98/4.21 (((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93)))))) <=> ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1568,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))))),
% 5.98/4.21 inference(monotonicity,[status(thm)],[1567])).
% 5.98/4.21 tff(1569,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))),
% 5.98/4.21 inference(transitivity,[status(thm)],[1568, 1566])).
% 5.98/4.21 tff(1570,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93))))))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1571,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 5.98/4.21 tff(1572,plain,
% 5.98/4.21 (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1571, 1561, 293])).
% 5.98/4.21 tff(1573,plain,
% 5.98/4.21 ((~v1(constB93)) <=> (~v1(constB93))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1574,axiom,(~v1(constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_93')).
% 5.98/4.21 tff(1575,plain,
% 5.98/4.21 (~v1(constB93)),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1574, 1573])).
% 5.98/4.21 tff(1576,plain,
% 5.98/4.21 (((~v1(constB93)) | (~v102(constB93))) | v1(constB93)),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1577,plain,
% 5.98/4.21 ((~v1(constB93)) | (~v102(constB93))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1576, 1575])).
% 5.98/4.21 tff(1578,plain,
% 5.98/4.21 ((~(v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))) | (~v101(constB93)) | (~((~v1(constB93)) | (~v102(constB93))))),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1579,plain,
% 5.98/4.21 ((~(v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))) | (~v101(constB93))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1578, 1577])).
% 5.98/4.21 tff(1580,plain,
% 5.98/4.21 (~v101(constB93)),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1579, 1572])).
% 5.98/4.21 tff(1581,plain,
% 5.98/4.21 (((~v101(constB93)) | (~v110(constB93))) | v101(constB93)),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1582,plain,
% 5.98/4.21 ((~v101(constB93)) | (~v110(constB93))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1581, 1580])).
% 5.98/4.21 tff(1583,plain,
% 5.98/4.21 ((~(v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93)))))) | (~v100(constB93)) | (~((~v101(constB93)) | (~v110(constB93))))),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1584,plain,
% 5.98/4.21 (~v100(constB93)),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1583, 1582, 1565])).
% 5.98/4.21 tff(1585,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 0)) <=> v90(constB92, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 0)) <=> v90(constB92, 0)))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1586,plain,
% 5.98/4.21 ((v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 0)) <=> v90(constB92, 0))))) <=> (v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 0)) <=> v90(constB92, 0)))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1587,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 0)) <=> v90(constB92, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 0)) <=> v90(constB92, 0))))))),
% 5.98/4.21 inference(monotonicity,[status(thm)],[1586])).
% 5.98/4.21 tff(1588,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 0)) <=> v90(constB92, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 0)) <=> v90(constB92, 0)))))),
% 5.98/4.21 inference(transitivity,[status(thm)],[1587, 1585])).
% 5.98/4.21 tff(1589,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 0)) <=> v90(constB92, 0)))))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1590,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 0)) <=> v90(constB92, 0))))),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1589, 1588])).
% 5.98/4.21 tff(1591,plain,
% 5.98/4.21 (v100(constB93) | (~(((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 0)) <=> v90(constB92, 0))))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1590, 1561, 325])).
% 5.98/4.21 tff(1592,plain,
% 5.98/4.21 (~(((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 0)) <=> v90(constB92, 0)))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1591, 1584])).
% 5.98/4.21 tff(1593,plain,
% 5.98/4.21 ((((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 0)) <=> v90(constB92, 0))) | (~((~v90(constB93, 2)) <=> v90(constB92, 2)))),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1594,plain,
% 5.98/4.21 (~((~v90(constB93, 2)) <=> v90(constB92, 2))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1593, 1592])).
% 5.98/4.21 tff(1595,plain,
% 5.98/4.21 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1596,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_91')).
% 5.98/4.21 tff(1597,plain,
% 5.98/4.21 (nextState(constB91, constB92)),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1596, 1595])).
% 5.98/4.21 tff(1598,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB91, constB92)) | (~(((~v129(constB92, 2)) <=> v127(constB91, 2)) | ((~v129(constB92, 1)) <=> v127(constB91, 1)) | ((~v129(constB92, 0)) <=> v127(constB91, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB91, constB92)) | (~(((~v129(constB92, 2)) <=> v127(constB91, 2)) | ((~v129(constB92, 1)) <=> v127(constB91, 1)) | ((~v129(constB92, 0)) <=> v127(constB91, 0)))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1599,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB91, constB92)) | (~(((~v129(constB92, 2)) <=> v127(constB91, 2)) | ((~v129(constB92, 1)) <=> v127(constB91, 1)) | ((~v129(constB92, 0)) <=> v127(constB91, 0)))))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1600,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB91, constB92)) | (~(((~v129(constB92, 2)) <=> v127(constB91, 2)) | ((~v129(constB92, 1)) <=> v127(constB91, 1)) | ((~v129(constB92, 0)) <=> v127(constB91, 0))))),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1599, 1598])).
% 5.98/4.21 tff(1601,plain,
% 5.98/4.21 (~(((~v129(constB92, 2)) <=> v127(constB91, 2)) | ((~v129(constB92, 1)) <=> v127(constB91, 1)) | ((~v129(constB92, 0)) <=> v127(constB91, 0)))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1600, 1597, 348])).
% 5.98/4.21 tff(1602,plain,
% 5.98/4.21 ((((~v129(constB92, 2)) <=> v127(constB91, 2)) | ((~v129(constB92, 1)) <=> v127(constB91, 1)) | ((~v129(constB92, 0)) <=> v127(constB91, 0))) | (~((~v129(constB92, 2)) <=> v127(constB91, 2)))),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1603,plain,
% 5.98/4.21 (~((~v129(constB92, 2)) <=> v127(constB91, 2))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1602, 1601])).
% 5.98/4.21 tff(1604,plain,
% 5.98/4.21 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB91) <=> v26(constB91))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1605,plain,
% 5.98/4.21 (v111(constB91) <=> v26(constB91)),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1604, 367])).
% 5.98/4.21 tff(1606,plain,
% 5.98/4.21 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB91))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1607,plain,
% 5.98/4.21 (~v26(constB91)),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1606, 379])).
% 5.98/4.21 tff(1608,plain,
% 5.98/4.21 ((~(v111(constB91) <=> v26(constB91))) | (~v111(constB91)) | v26(constB91)),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1609,plain,
% 5.98/4.21 ((~(v111(constB91) <=> v26(constB91))) | (~v111(constB91))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1608, 1607])).
% 5.98/4.21 tff(1610,plain,
% 5.98/4.21 (~v111(constB91)),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1609, 1605])).
% 5.98/4.21 tff(1611,plain,
% 5.98/4.21 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB91) | (~(((~v127(constB91, 2)) <=> v130(constB91, 2)) | ((~v127(constB91, 1)) <=> v130(constB91, 1)) | ((~v127(constB91, 0)) <=> v130(constB91, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB91) | (~(((~v127(constB91, 2)) <=> v130(constB91, 2)) | ((~v127(constB91, 1)) <=> v130(constB91, 1)) | ((~v127(constB91, 0)) <=> v130(constB91, 0)))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1612,plain,
% 5.98/4.21 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB91) | (~(((~v127(constB91, 2)) <=> v130(constB91, 2)) | ((~v127(constB91, 1)) <=> v130(constB91, 1)) | ((~v127(constB91, 0)) <=> v130(constB91, 0)))))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1613,plain,
% 5.98/4.21 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB91) | (~(((~v127(constB91, 2)) <=> v130(constB91, 2)) | ((~v127(constB91, 1)) <=> v130(constB91, 1)) | ((~v127(constB91, 0)) <=> v130(constB91, 0))))),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1612, 1611])).
% 5.98/4.21 tff(1614,plain,
% 5.98/4.21 (v111(constB91) | (~(((~v127(constB91, 2)) <=> v130(constB91, 2)) | ((~v127(constB91, 1)) <=> v130(constB91, 1)) | ((~v127(constB91, 0)) <=> v130(constB91, 0))))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1613, 397])).
% 5.98/4.21 tff(1615,plain,
% 5.98/4.21 (~(((~v127(constB91, 2)) <=> v130(constB91, 2)) | ((~v127(constB91, 1)) <=> v130(constB91, 1)) | ((~v127(constB91, 0)) <=> v130(constB91, 0)))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1614, 1610])).
% 5.98/4.21 tff(1616,plain,
% 5.98/4.21 ((((~v127(constB91, 2)) <=> v130(constB91, 2)) | ((~v127(constB91, 1)) <=> v130(constB91, 1)) | ((~v127(constB91, 0)) <=> v130(constB91, 0))) | (~((~v127(constB91, 2)) <=> v130(constB91, 2)))),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1617,plain,
% 5.98/4.21 (~((~v127(constB91, 2)) <=> v130(constB91, 2))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1616, 1615])).
% 5.98/4.21 tff(1618,plain,
% 5.98/4.21 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB91) <=> (~(v90(constB91, 2) | (~v90(constB91, 1)) | (~v90(constB91, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB91) <=> (~(v90(constB91, 2) | (~v90(constB91, 1)) | (~v90(constB91, 0))))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1619,plain,
% 5.98/4.21 ((v122(constB91) <=> (~(v90(constB91, 2) | (~v90(constB91, 0)) | (~v90(constB91, 1))))) <=> (v122(constB91) <=> (~(v90(constB91, 2) | (~v90(constB91, 1)) | (~v90(constB91, 0)))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1620,plain,
% 5.98/4.21 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB91) <=> (~(v90(constB91, 2) | (~v90(constB91, 0)) | (~v90(constB91, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB91) <=> (~(v90(constB91, 2) | (~v90(constB91, 1)) | (~v90(constB91, 0))))))),
% 5.98/4.21 inference(monotonicity,[status(thm)],[1619])).
% 5.98/4.21 tff(1621,plain,
% 5.98/4.21 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB91) <=> (~(v90(constB91, 2) | (~v90(constB91, 0)) | (~v90(constB91, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB91) <=> (~(v90(constB91, 2) | (~v90(constB91, 1)) | (~v90(constB91, 0))))))),
% 5.98/4.21 inference(transitivity,[status(thm)],[1620, 1618])).
% 5.98/4.21 tff(1622,plain,
% 5.98/4.21 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB91) <=> (~(v90(constB91, 2) | (~v90(constB91, 0)) | (~v90(constB91, 1)))))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1623,plain,
% 5.98/4.21 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB91) <=> (~(v90(constB91, 2) | (~v90(constB91, 1)) | (~v90(constB91, 0)))))),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1622, 1621])).
% 5.98/4.21 tff(1624,plain,
% 5.98/4.21 (v122(constB91) <=> (~(v90(constB91, 2) | (~v90(constB91, 1)) | (~v90(constB91, 0))))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1623, 644])).
% 5.98/4.21 tff(1625,plain,
% 5.98/4.21 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1626,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_90')).
% 5.98/4.21 tff(1627,plain,
% 5.98/4.21 (nextState(constB90, constB91)),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1626, 1625])).
% 5.98/4.21 tff(1628,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1629,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1630,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91)))))),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1629, 1628])).
% 5.98/4.21 tff(1631,plain,
% 5.98/4.21 (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1630, 1627, 273])).
% 5.98/4.21 tff(1632,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1633,plain,
% 5.98/4.21 (((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91)))))) <=> ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1634,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))))),
% 5.98/4.21 inference(monotonicity,[status(thm)],[1633])).
% 5.98/4.21 tff(1635,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))),
% 5.98/4.21 inference(transitivity,[status(thm)],[1634, 1632])).
% 5.98/4.21 tff(1636,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91))))))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1637,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1636, 1635])).
% 5.98/4.21 tff(1638,plain,
% 5.98/4.21 (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1637, 1627, 293])).
% 5.98/4.21 tff(1639,plain,
% 5.98/4.21 ((~v1(constB91)) <=> (~v1(constB91))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1640,axiom,(~v1(constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_91')).
% 5.98/4.21 tff(1641,plain,
% 5.98/4.21 (~v1(constB91)),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1640, 1639])).
% 5.98/4.21 tff(1642,plain,
% 5.98/4.21 (((~v1(constB91)) | (~v102(constB91))) | v1(constB91)),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1643,plain,
% 5.98/4.21 ((~v1(constB91)) | (~v102(constB91))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1642, 1641])).
% 5.98/4.21 tff(1644,plain,
% 5.98/4.21 ((~(v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))) | (~v101(constB91)) | (~((~v1(constB91)) | (~v102(constB91))))),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1645,plain,
% 5.98/4.21 ((~(v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))) | (~v101(constB91))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1644, 1643])).
% 5.98/4.21 tff(1646,plain,
% 5.98/4.21 (~v101(constB91)),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1645, 1638])).
% 5.98/4.21 tff(1647,plain,
% 5.98/4.21 (((~v101(constB91)) | (~v110(constB91))) | v101(constB91)),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1648,plain,
% 5.98/4.21 ((~v101(constB91)) | (~v110(constB91))),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1647, 1646])).
% 5.98/4.21 tff(1649,plain,
% 5.98/4.21 ((~(v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91)))))) | (~v100(constB91)) | (~((~v101(constB91)) | (~v110(constB91))))),
% 5.98/4.21 inference(tautology,[status(thm)],[])).
% 5.98/4.21 tff(1650,plain,
% 5.98/4.21 (~v100(constB91)),
% 5.98/4.21 inference(unit_resolution,[status(thm)],[1649, 1648, 1631])).
% 5.98/4.21 tff(1651,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 0)) <=> v90(constB90, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 0)) <=> v90(constB90, 0)))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1652,plain,
% 5.98/4.21 ((v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 0)) <=> v90(constB90, 0))))) <=> (v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 0)) <=> v90(constB90, 0)))))),
% 5.98/4.21 inference(rewrite,[status(thm)],[])).
% 5.98/4.21 tff(1653,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 0)) <=> v90(constB90, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 0)) <=> v90(constB90, 0))))))),
% 5.98/4.21 inference(monotonicity,[status(thm)],[1652])).
% 5.98/4.21 tff(1654,plain,
% 5.98/4.21 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 0)) <=> v90(constB90, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 0)) <=> v90(constB90, 0)))))),
% 5.98/4.21 inference(transitivity,[status(thm)],[1653, 1651])).
% 5.98/4.21 tff(1655,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 0)) <=> v90(constB90, 0)))))),
% 5.98/4.21 inference(quant_inst,[status(thm)],[])).
% 5.98/4.21 tff(1656,plain,
% 5.98/4.21 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 0)) <=> v90(constB90, 0))))),
% 5.98/4.21 inference(modus_ponens,[status(thm)],[1655, 1654])).
% 5.98/4.21 tff(1657,plain,
% 5.98/4.21 (v100(constB91) | (~(((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 0)) <=> v90(constB90, 0))))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1656, 1627, 325])).
% 5.98/4.22 tff(1658,plain,
% 5.98/4.22 (~(((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 0)) <=> v90(constB90, 0)))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1657, 1650])).
% 5.98/4.22 tff(1659,plain,
% 5.98/4.22 ((((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 0)) <=> v90(constB90, 0))) | (~((~v90(constB91, 2)) <=> v90(constB90, 2)))),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1660,plain,
% 5.98/4.22 (~((~v90(constB91, 2)) <=> v90(constB90, 2))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1659, 1658])).
% 5.98/4.22 tff(1661,plain,
% 5.98/4.22 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1662,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_89')).
% 5.98/4.22 tff(1663,plain,
% 5.98/4.22 (nextState(constB89, constB90)),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1662, 1661])).
% 5.98/4.22 tff(1664,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB89, constB90)) | (~(((~v129(constB90, 2)) <=> v127(constB89, 2)) | ((~v129(constB90, 1)) <=> v127(constB89, 1)) | ((~v129(constB90, 0)) <=> v127(constB89, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB89, constB90)) | (~(((~v129(constB90, 2)) <=> v127(constB89, 2)) | ((~v129(constB90, 1)) <=> v127(constB89, 1)) | ((~v129(constB90, 0)) <=> v127(constB89, 0)))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1665,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB89, constB90)) | (~(((~v129(constB90, 2)) <=> v127(constB89, 2)) | ((~v129(constB90, 1)) <=> v127(constB89, 1)) | ((~v129(constB90, 0)) <=> v127(constB89, 0)))))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1666,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB89, constB90)) | (~(((~v129(constB90, 2)) <=> v127(constB89, 2)) | ((~v129(constB90, 1)) <=> v127(constB89, 1)) | ((~v129(constB90, 0)) <=> v127(constB89, 0))))),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1665, 1664])).
% 5.98/4.22 tff(1667,plain,
% 5.98/4.22 (~(((~v129(constB90, 2)) <=> v127(constB89, 2)) | ((~v129(constB90, 1)) <=> v127(constB89, 1)) | ((~v129(constB90, 0)) <=> v127(constB89, 0)))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1666, 1663, 348])).
% 5.98/4.22 tff(1668,plain,
% 5.98/4.22 ((((~v129(constB90, 2)) <=> v127(constB89, 2)) | ((~v129(constB90, 1)) <=> v127(constB89, 1)) | ((~v129(constB90, 0)) <=> v127(constB89, 0))) | (~((~v129(constB90, 2)) <=> v127(constB89, 2)))),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1669,plain,
% 5.98/4.22 (~((~v129(constB90, 2)) <=> v127(constB89, 2))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1668, 1667])).
% 5.98/4.22 tff(1670,plain,
% 5.98/4.22 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB89) <=> v26(constB89))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1671,plain,
% 5.98/4.22 (v111(constB89) <=> v26(constB89)),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1670, 367])).
% 5.98/4.22 tff(1672,plain,
% 5.98/4.22 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB89))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1673,plain,
% 5.98/4.22 (~v26(constB89)),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1672, 379])).
% 5.98/4.22 tff(1674,plain,
% 5.98/4.22 ((~(v111(constB89) <=> v26(constB89))) | (~v111(constB89)) | v26(constB89)),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1675,plain,
% 5.98/4.22 ((~(v111(constB89) <=> v26(constB89))) | (~v111(constB89))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1674, 1673])).
% 5.98/4.22 tff(1676,plain,
% 5.98/4.22 (~v111(constB89)),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1675, 1671])).
% 5.98/4.22 tff(1677,plain,
% 5.98/4.22 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB89) | (~(((~v127(constB89, 2)) <=> v130(constB89, 2)) | ((~v127(constB89, 1)) <=> v130(constB89, 1)) | ((~v127(constB89, 0)) <=> v130(constB89, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB89) | (~(((~v127(constB89, 2)) <=> v130(constB89, 2)) | ((~v127(constB89, 1)) <=> v130(constB89, 1)) | ((~v127(constB89, 0)) <=> v130(constB89, 0)))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1678,plain,
% 5.98/4.22 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB89) | (~(((~v127(constB89, 2)) <=> v130(constB89, 2)) | ((~v127(constB89, 1)) <=> v130(constB89, 1)) | ((~v127(constB89, 0)) <=> v130(constB89, 0)))))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1679,plain,
% 5.98/4.22 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB89) | (~(((~v127(constB89, 2)) <=> v130(constB89, 2)) | ((~v127(constB89, 1)) <=> v130(constB89, 1)) | ((~v127(constB89, 0)) <=> v130(constB89, 0))))),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1678, 1677])).
% 5.98/4.22 tff(1680,plain,
% 5.98/4.22 (v111(constB89) | (~(((~v127(constB89, 2)) <=> v130(constB89, 2)) | ((~v127(constB89, 1)) <=> v130(constB89, 1)) | ((~v127(constB89, 0)) <=> v130(constB89, 0))))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1679, 397])).
% 5.98/4.22 tff(1681,plain,
% 5.98/4.22 (~(((~v127(constB89, 2)) <=> v130(constB89, 2)) | ((~v127(constB89, 1)) <=> v130(constB89, 1)) | ((~v127(constB89, 0)) <=> v130(constB89, 0)))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1680, 1676])).
% 5.98/4.22 tff(1682,plain,
% 5.98/4.22 ((((~v127(constB89, 2)) <=> v130(constB89, 2)) | ((~v127(constB89, 1)) <=> v130(constB89, 1)) | ((~v127(constB89, 0)) <=> v130(constB89, 0))) | (~((~v127(constB89, 2)) <=> v130(constB89, 2)))),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1683,plain,
% 5.98/4.22 (~((~v127(constB89, 2)) <=> v130(constB89, 2))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1682, 1681])).
% 5.98/4.22 tff(1684,plain,
% 5.98/4.22 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB89) <=> (~(v90(constB89, 2) | v90(constB89, 0) | (~v90(constB89, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB89) <=> (~(v90(constB89, 2) | v90(constB89, 0) | (~v90(constB89, 1))))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1685,plain,
% 5.98/4.22 ((v121(constB89) <=> (~(v90(constB89, 0) | v90(constB89, 2) | (~v90(constB89, 1))))) <=> (v121(constB89) <=> (~(v90(constB89, 2) | v90(constB89, 0) | (~v90(constB89, 1)))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1686,plain,
% 5.98/4.22 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB89) <=> (~(v90(constB89, 0) | v90(constB89, 2) | (~v90(constB89, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB89) <=> (~(v90(constB89, 2) | v90(constB89, 0) | (~v90(constB89, 1))))))),
% 5.98/4.22 inference(monotonicity,[status(thm)],[1685])).
% 5.98/4.22 tff(1687,plain,
% 5.98/4.22 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB89) <=> (~(v90(constB89, 0) | v90(constB89, 2) | (~v90(constB89, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB89) <=> (~(v90(constB89, 2) | v90(constB89, 0) | (~v90(constB89, 1))))))),
% 5.98/4.22 inference(transitivity,[status(thm)],[1686, 1684])).
% 5.98/4.22 tff(1688,plain,
% 5.98/4.22 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB89) <=> (~(v90(constB89, 0) | v90(constB89, 2) | (~v90(constB89, 1)))))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1689,plain,
% 5.98/4.22 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB89) <=> (~(v90(constB89, 2) | v90(constB89, 0) | (~v90(constB89, 1)))))),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1688, 1687])).
% 5.98/4.22 tff(1690,plain,
% 5.98/4.22 (v121(constB89) <=> (~(v90(constB89, 2) | v90(constB89, 0) | (~v90(constB89, 1))))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1689, 723])).
% 5.98/4.22 tff(1691,plain,
% 5.98/4.22 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1692,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_88')).
% 5.98/4.22 tff(1693,plain,
% 5.98/4.22 (nextState(constB88, constB89)),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1692, 1691])).
% 5.98/4.22 tff(1694,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1695,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1696,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89)))))),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1695, 1694])).
% 5.98/4.22 tff(1697,plain,
% 5.98/4.22 (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1696, 1693, 273])).
% 5.98/4.22 tff(1698,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1699,plain,
% 5.98/4.22 (((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89)))))) <=> ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1700,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))))),
% 5.98/4.22 inference(monotonicity,[status(thm)],[1699])).
% 5.98/4.22 tff(1701,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))),
% 5.98/4.22 inference(transitivity,[status(thm)],[1700, 1698])).
% 5.98/4.22 tff(1702,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89))))))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1703,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1702, 1701])).
% 5.98/4.22 tff(1704,plain,
% 5.98/4.22 (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1703, 1693, 293])).
% 5.98/4.22 tff(1705,plain,
% 5.98/4.22 ((~v1(constB89)) <=> (~v1(constB89))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1706,axiom,(~v1(constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_89')).
% 5.98/4.22 tff(1707,plain,
% 5.98/4.22 (~v1(constB89)),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1706, 1705])).
% 5.98/4.22 tff(1708,plain,
% 5.98/4.22 (((~v1(constB89)) | (~v102(constB89))) | v1(constB89)),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1709,plain,
% 5.98/4.22 ((~v1(constB89)) | (~v102(constB89))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1708, 1707])).
% 5.98/4.22 tff(1710,plain,
% 5.98/4.22 ((~(v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))) | (~v101(constB89)) | (~((~v1(constB89)) | (~v102(constB89))))),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1711,plain,
% 5.98/4.22 ((~(v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))) | (~v101(constB89))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1710, 1709])).
% 5.98/4.22 tff(1712,plain,
% 5.98/4.22 (~v101(constB89)),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1711, 1704])).
% 5.98/4.22 tff(1713,plain,
% 5.98/4.22 (((~v101(constB89)) | (~v110(constB89))) | v101(constB89)),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1714,plain,
% 5.98/4.22 ((~v101(constB89)) | (~v110(constB89))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1713, 1712])).
% 5.98/4.22 tff(1715,plain,
% 5.98/4.22 ((~(v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89)))))) | (~v100(constB89)) | (~((~v101(constB89)) | (~v110(constB89))))),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1716,plain,
% 5.98/4.22 (~v100(constB89)),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1715, 1714, 1697])).
% 5.98/4.22 tff(1717,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 0)) <=> v90(constB88, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 0)) <=> v90(constB88, 0)))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1718,plain,
% 5.98/4.22 ((v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 0)) <=> v90(constB88, 0))))) <=> (v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 0)) <=> v90(constB88, 0)))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1719,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 0)) <=> v90(constB88, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 0)) <=> v90(constB88, 0))))))),
% 5.98/4.22 inference(monotonicity,[status(thm)],[1718])).
% 5.98/4.22 tff(1720,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 0)) <=> v90(constB88, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 0)) <=> v90(constB88, 0)))))),
% 5.98/4.22 inference(transitivity,[status(thm)],[1719, 1717])).
% 5.98/4.22 tff(1721,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 0)) <=> v90(constB88, 0)))))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1722,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 0)) <=> v90(constB88, 0))))),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1721, 1720])).
% 5.98/4.22 tff(1723,plain,
% 5.98/4.22 (v100(constB89) | (~(((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 0)) <=> v90(constB88, 0))))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1722, 1693, 325])).
% 5.98/4.22 tff(1724,plain,
% 5.98/4.22 (~(((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 0)) <=> v90(constB88, 0)))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1723, 1716])).
% 5.98/4.22 tff(1725,plain,
% 5.98/4.22 ((((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 0)) <=> v90(constB88, 0))) | (~((~v90(constB89, 2)) <=> v90(constB88, 2)))),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1726,plain,
% 5.98/4.22 (~((~v90(constB89, 2)) <=> v90(constB88, 2))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1725, 1724])).
% 5.98/4.22 tff(1727,plain,
% 5.98/4.22 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1728,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_87')).
% 5.98/4.22 tff(1729,plain,
% 5.98/4.22 (nextState(constB87, constB88)),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1728, 1727])).
% 5.98/4.22 tff(1730,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB87, constB88)) | (~(((~v129(constB88, 2)) <=> v127(constB87, 2)) | ((~v129(constB88, 1)) <=> v127(constB87, 1)) | ((~v129(constB88, 0)) <=> v127(constB87, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB87, constB88)) | (~(((~v129(constB88, 2)) <=> v127(constB87, 2)) | ((~v129(constB88, 1)) <=> v127(constB87, 1)) | ((~v129(constB88, 0)) <=> v127(constB87, 0)))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1731,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB87, constB88)) | (~(((~v129(constB88, 2)) <=> v127(constB87, 2)) | ((~v129(constB88, 1)) <=> v127(constB87, 1)) | ((~v129(constB88, 0)) <=> v127(constB87, 0)))))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1732,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB87, constB88)) | (~(((~v129(constB88, 2)) <=> v127(constB87, 2)) | ((~v129(constB88, 1)) <=> v127(constB87, 1)) | ((~v129(constB88, 0)) <=> v127(constB87, 0))))),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1731, 1730])).
% 5.98/4.22 tff(1733,plain,
% 5.98/4.22 (~(((~v129(constB88, 2)) <=> v127(constB87, 2)) | ((~v129(constB88, 1)) <=> v127(constB87, 1)) | ((~v129(constB88, 0)) <=> v127(constB87, 0)))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1732, 1729, 348])).
% 5.98/4.22 tff(1734,plain,
% 5.98/4.22 ((((~v129(constB88, 2)) <=> v127(constB87, 2)) | ((~v129(constB88, 1)) <=> v127(constB87, 1)) | ((~v129(constB88, 0)) <=> v127(constB87, 0))) | (~((~v129(constB88, 2)) <=> v127(constB87, 2)))),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1735,plain,
% 5.98/4.22 (~((~v129(constB88, 2)) <=> v127(constB87, 2))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1734, 1733])).
% 5.98/4.22 tff(1736,plain,
% 5.98/4.22 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB87) <=> v26(constB87))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1737,plain,
% 5.98/4.22 (v111(constB87) <=> v26(constB87)),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1736, 367])).
% 5.98/4.22 tff(1738,plain,
% 5.98/4.22 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB87))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1739,plain,
% 5.98/4.22 (~v26(constB87)),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1738, 379])).
% 5.98/4.22 tff(1740,plain,
% 5.98/4.22 ((~(v111(constB87) <=> v26(constB87))) | (~v111(constB87)) | v26(constB87)),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1741,plain,
% 5.98/4.22 ((~(v111(constB87) <=> v26(constB87))) | (~v111(constB87))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1740, 1739])).
% 5.98/4.22 tff(1742,plain,
% 5.98/4.22 (~v111(constB87)),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1741, 1737])).
% 5.98/4.22 tff(1743,plain,
% 5.98/4.22 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB87) | (~(((~v127(constB87, 2)) <=> v130(constB87, 2)) | ((~v127(constB87, 1)) <=> v130(constB87, 1)) | ((~v127(constB87, 0)) <=> v130(constB87, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB87) | (~(((~v127(constB87, 2)) <=> v130(constB87, 2)) | ((~v127(constB87, 1)) <=> v130(constB87, 1)) | ((~v127(constB87, 0)) <=> v130(constB87, 0)))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1744,plain,
% 5.98/4.22 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB87) | (~(((~v127(constB87, 2)) <=> v130(constB87, 2)) | ((~v127(constB87, 1)) <=> v130(constB87, 1)) | ((~v127(constB87, 0)) <=> v130(constB87, 0)))))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1745,plain,
% 5.98/4.22 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB87) | (~(((~v127(constB87, 2)) <=> v130(constB87, 2)) | ((~v127(constB87, 1)) <=> v130(constB87, 1)) | ((~v127(constB87, 0)) <=> v130(constB87, 0))))),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1744, 1743])).
% 5.98/4.22 tff(1746,plain,
% 5.98/4.22 (v111(constB87) | (~(((~v127(constB87, 2)) <=> v130(constB87, 2)) | ((~v127(constB87, 1)) <=> v130(constB87, 1)) | ((~v127(constB87, 0)) <=> v130(constB87, 0))))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1745, 397])).
% 5.98/4.22 tff(1747,plain,
% 5.98/4.22 (~(((~v127(constB87, 2)) <=> v130(constB87, 2)) | ((~v127(constB87, 1)) <=> v130(constB87, 1)) | ((~v127(constB87, 0)) <=> v130(constB87, 0)))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1746, 1742])).
% 5.98/4.22 tff(1748,plain,
% 5.98/4.22 ((((~v127(constB87, 2)) <=> v130(constB87, 2)) | ((~v127(constB87, 1)) <=> v130(constB87, 1)) | ((~v127(constB87, 0)) <=> v130(constB87, 0))) | (~((~v127(constB87, 2)) <=> v130(constB87, 2)))),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1749,plain,
% 5.98/4.22 (~((~v127(constB87, 2)) <=> v130(constB87, 2))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1748, 1747])).
% 5.98/4.22 tff(1750,plain,
% 5.98/4.22 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB87) <=> (~(v90(constB87, 1) | v90(constB87, 2) | (~v90(constB87, 0)))))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1751,plain,
% 5.98/4.22 (v120(constB87) <=> (~(v90(constB87, 1) | v90(constB87, 2) | (~v90(constB87, 0))))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1750, 417])).
% 5.98/4.22 tff(1752,plain,
% 5.98/4.22 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1753,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_86')).
% 5.98/4.22 tff(1754,plain,
% 5.98/4.22 (nextState(constB86, constB87)),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1753, 1752])).
% 5.98/4.22 tff(1755,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1756,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1757,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87)))))),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1756, 1755])).
% 5.98/4.22 tff(1758,plain,
% 5.98/4.22 (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1757, 1754, 273])).
% 5.98/4.22 tff(1759,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1760,plain,
% 5.98/4.22 (((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87)))))) <=> ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1761,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))))),
% 5.98/4.22 inference(monotonicity,[status(thm)],[1760])).
% 5.98/4.22 tff(1762,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))),
% 5.98/4.22 inference(transitivity,[status(thm)],[1761, 1759])).
% 5.98/4.22 tff(1763,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87))))))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1764,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1763, 1762])).
% 5.98/4.22 tff(1765,plain,
% 5.98/4.22 (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1764, 1754, 293])).
% 5.98/4.22 tff(1766,plain,
% 5.98/4.22 ((~v1(constB87)) <=> (~v1(constB87))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1767,axiom,(~v1(constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_87')).
% 5.98/4.22 tff(1768,plain,
% 5.98/4.22 (~v1(constB87)),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1767, 1766])).
% 5.98/4.22 tff(1769,plain,
% 5.98/4.22 (((~v1(constB87)) | (~v102(constB87))) | v1(constB87)),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1770,plain,
% 5.98/4.22 ((~v1(constB87)) | (~v102(constB87))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1769, 1768])).
% 5.98/4.22 tff(1771,plain,
% 5.98/4.22 ((~(v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))) | (~v101(constB87)) | (~((~v1(constB87)) | (~v102(constB87))))),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1772,plain,
% 5.98/4.22 ((~(v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))) | (~v101(constB87))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1771, 1770])).
% 5.98/4.22 tff(1773,plain,
% 5.98/4.22 (~v101(constB87)),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1772, 1765])).
% 5.98/4.22 tff(1774,plain,
% 5.98/4.22 (((~v101(constB87)) | (~v110(constB87))) | v101(constB87)),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1775,plain,
% 5.98/4.22 ((~v101(constB87)) | (~v110(constB87))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1774, 1773])).
% 5.98/4.22 tff(1776,plain,
% 5.98/4.22 ((~(v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87)))))) | (~v100(constB87)) | (~((~v101(constB87)) | (~v110(constB87))))),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1777,plain,
% 5.98/4.22 (~v100(constB87)),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1776, 1775, 1758])).
% 5.98/4.22 tff(1778,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 0)) <=> v90(constB86, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 0)) <=> v90(constB86, 0)))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1779,plain,
% 5.98/4.22 ((v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 0)) <=> v90(constB86, 0))))) <=> (v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 0)) <=> v90(constB86, 0)))))),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1780,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 0)) <=> v90(constB86, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 0)) <=> v90(constB86, 0))))))),
% 5.98/4.22 inference(monotonicity,[status(thm)],[1779])).
% 5.98/4.22 tff(1781,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 0)) <=> v90(constB86, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 0)) <=> v90(constB86, 0)))))),
% 5.98/4.22 inference(transitivity,[status(thm)],[1780, 1778])).
% 5.98/4.22 tff(1782,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 0)) <=> v90(constB86, 0)))))),
% 5.98/4.22 inference(quant_inst,[status(thm)],[])).
% 5.98/4.22 tff(1783,plain,
% 5.98/4.22 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 0)) <=> v90(constB86, 0))))),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1782, 1781])).
% 5.98/4.22 tff(1784,plain,
% 5.98/4.22 (v100(constB87) | (~(((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 0)) <=> v90(constB86, 0))))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1783, 1754, 325])).
% 5.98/4.22 tff(1785,plain,
% 5.98/4.22 (~(((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 0)) <=> v90(constB86, 0)))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1784, 1777])).
% 5.98/4.22 tff(1786,plain,
% 5.98/4.22 ((((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 0)) <=> v90(constB86, 0))) | (~((~v90(constB87, 2)) <=> v90(constB86, 2)))),
% 5.98/4.22 inference(tautology,[status(thm)],[])).
% 5.98/4.22 tff(1787,plain,
% 5.98/4.22 (~((~v90(constB87, 2)) <=> v90(constB86, 2))),
% 5.98/4.22 inference(unit_resolution,[status(thm)],[1786, 1785])).
% 5.98/4.22 tff(1788,plain,
% 5.98/4.22 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 5.98/4.22 inference(rewrite,[status(thm)],[])).
% 5.98/4.22 tff(1789,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_85')).
% 5.98/4.22 tff(1790,plain,
% 5.98/4.22 (nextState(constB85, constB86)),
% 5.98/4.22 inference(modus_ponens,[status(thm)],[1789, 1788])).
% 5.98/4.22 tff(1791,plain,
% 5.98/4.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB85, constB86)) | (~(((~v129(constB86, 2)) <=> v127(constB85, 2)) | ((~v129(constB86, 1)) <=> v127(constB85, 1)) | ((~v129(constB86, 0)) <=> v127(constB85, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB85, constB86)) | (~(((~v129(constB86, 2)) <=> v127(constB85, 2)) | ((~v129(constB86, 1)) <=> v127(constB85, 1)) | ((~v129(constB86, 0)) <=> v127(constB85, 0)))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1792,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB85, constB86)) | (~(((~v129(constB86, 2)) <=> v127(constB85, 2)) | ((~v129(constB86, 1)) <=> v127(constB85, 1)) | ((~v129(constB86, 0)) <=> v127(constB85, 0)))))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1793,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB85, constB86)) | (~(((~v129(constB86, 2)) <=> v127(constB85, 2)) | ((~v129(constB86, 1)) <=> v127(constB85, 1)) | ((~v129(constB86, 0)) <=> v127(constB85, 0))))),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1792, 1791])).
% 5.98/4.23 tff(1794,plain,
% 5.98/4.23 (~(((~v129(constB86, 2)) <=> v127(constB85, 2)) | ((~v129(constB86, 1)) <=> v127(constB85, 1)) | ((~v129(constB86, 0)) <=> v127(constB85, 0)))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1793, 1790, 348])).
% 5.98/4.23 tff(1795,plain,
% 5.98/4.23 ((((~v129(constB86, 2)) <=> v127(constB85, 2)) | ((~v129(constB86, 1)) <=> v127(constB85, 1)) | ((~v129(constB86, 0)) <=> v127(constB85, 0))) | (~((~v129(constB86, 2)) <=> v127(constB85, 2)))),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1796,plain,
% 5.98/4.23 (~((~v129(constB86, 2)) <=> v127(constB85, 2))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1795, 1794])).
% 5.98/4.23 tff(1797,plain,
% 5.98/4.23 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB85) <=> v26(constB85))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1798,plain,
% 5.98/4.23 (v111(constB85) <=> v26(constB85)),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1797, 367])).
% 5.98/4.23 tff(1799,plain,
% 5.98/4.23 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB85))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1800,plain,
% 5.98/4.23 (~v26(constB85)),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1799, 379])).
% 5.98/4.23 tff(1801,plain,
% 5.98/4.23 ((~(v111(constB85) <=> v26(constB85))) | (~v111(constB85)) | v26(constB85)),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1802,plain,
% 5.98/4.23 ((~(v111(constB85) <=> v26(constB85))) | (~v111(constB85))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1801, 1800])).
% 5.98/4.23 tff(1803,plain,
% 5.98/4.23 (~v111(constB85)),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1802, 1798])).
% 5.98/4.23 tff(1804,plain,
% 5.98/4.23 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB85) | (~(((~v127(constB85, 2)) <=> v130(constB85, 2)) | ((~v127(constB85, 1)) <=> v130(constB85, 1)) | ((~v127(constB85, 0)) <=> v130(constB85, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB85) | (~(((~v127(constB85, 2)) <=> v130(constB85, 2)) | ((~v127(constB85, 1)) <=> v130(constB85, 1)) | ((~v127(constB85, 0)) <=> v130(constB85, 0)))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1805,plain,
% 5.98/4.23 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB85) | (~(((~v127(constB85, 2)) <=> v130(constB85, 2)) | ((~v127(constB85, 1)) <=> v130(constB85, 1)) | ((~v127(constB85, 0)) <=> v130(constB85, 0)))))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1806,plain,
% 5.98/4.23 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB85) | (~(((~v127(constB85, 2)) <=> v130(constB85, 2)) | ((~v127(constB85, 1)) <=> v130(constB85, 1)) | ((~v127(constB85, 0)) <=> v130(constB85, 0))))),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1805, 1804])).
% 5.98/4.23 tff(1807,plain,
% 5.98/4.23 (v111(constB85) | (~(((~v127(constB85, 2)) <=> v130(constB85, 2)) | ((~v127(constB85, 1)) <=> v130(constB85, 1)) | ((~v127(constB85, 0)) <=> v130(constB85, 0))))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1806, 397])).
% 5.98/4.23 tff(1808,plain,
% 5.98/4.23 (~(((~v127(constB85, 2)) <=> v130(constB85, 2)) | ((~v127(constB85, 1)) <=> v130(constB85, 1)) | ((~v127(constB85, 0)) <=> v130(constB85, 0)))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1807, 1803])).
% 5.98/4.23 tff(1809,plain,
% 5.98/4.23 ((((~v127(constB85, 2)) <=> v130(constB85, 2)) | ((~v127(constB85, 1)) <=> v130(constB85, 1)) | ((~v127(constB85, 0)) <=> v130(constB85, 0))) | (~((~v127(constB85, 2)) <=> v130(constB85, 2)))),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1810,plain,
% 5.98/4.23 (~((~v127(constB85, 2)) <=> v130(constB85, 2))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1809, 1808])).
% 5.98/4.23 tff(1811,plain,
% 5.98/4.23 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB85) <=> (~(v90(constB85, 0) | v90(constB85, 1) | v90(constB85, 2))))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1812,plain,
% 5.98/4.23 (v119(constB85) <=> (~(v90(constB85, 0) | v90(constB85, 1) | v90(constB85, 2)))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1811, 491])).
% 5.98/4.23 tff(1813,plain,
% 5.98/4.23 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1814,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_84')).
% 5.98/4.23 tff(1815,plain,
% 5.98/4.23 (nextState(constB84, constB85)),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 5.98/4.23 tff(1816,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1817,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1818,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85)))))),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1817, 1816])).
% 5.98/4.23 tff(1819,plain,
% 5.98/4.23 (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1818, 1815, 273])).
% 5.98/4.23 tff(1820,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1821,plain,
% 5.98/4.23 (((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85)))))) <=> ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1822,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))))),
% 5.98/4.23 inference(monotonicity,[status(thm)],[1821])).
% 5.98/4.23 tff(1823,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))),
% 5.98/4.23 inference(transitivity,[status(thm)],[1822, 1820])).
% 5.98/4.23 tff(1824,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85))))))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1825,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1824, 1823])).
% 5.98/4.23 tff(1826,plain,
% 5.98/4.23 (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1825, 1815, 293])).
% 5.98/4.23 tff(1827,plain,
% 5.98/4.23 ((~v1(constB85)) <=> (~v1(constB85))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1828,axiom,(~v1(constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_85')).
% 5.98/4.23 tff(1829,plain,
% 5.98/4.23 (~v1(constB85)),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1828, 1827])).
% 5.98/4.23 tff(1830,plain,
% 5.98/4.23 (((~v1(constB85)) | (~v102(constB85))) | v1(constB85)),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1831,plain,
% 5.98/4.23 ((~v1(constB85)) | (~v102(constB85))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1830, 1829])).
% 5.98/4.23 tff(1832,plain,
% 5.98/4.23 ((~(v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))) | (~v101(constB85)) | (~((~v1(constB85)) | (~v102(constB85))))),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1833,plain,
% 5.98/4.23 ((~(v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))) | (~v101(constB85))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1832, 1831])).
% 5.98/4.23 tff(1834,plain,
% 5.98/4.23 (~v101(constB85)),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1833, 1826])).
% 5.98/4.23 tff(1835,plain,
% 5.98/4.23 (((~v101(constB85)) | (~v110(constB85))) | v101(constB85)),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1836,plain,
% 5.98/4.23 ((~v101(constB85)) | (~v110(constB85))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1835, 1834])).
% 5.98/4.23 tff(1837,plain,
% 5.98/4.23 ((~(v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85)))))) | (~v100(constB85)) | (~((~v101(constB85)) | (~v110(constB85))))),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1838,plain,
% 5.98/4.23 (~v100(constB85)),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1837, 1836, 1819])).
% 5.98/4.23 tff(1839,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 0)) <=> v90(constB84, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 0)) <=> v90(constB84, 0)))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1840,plain,
% 5.98/4.23 ((v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 0)) <=> v90(constB84, 0))))) <=> (v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 0)) <=> v90(constB84, 0)))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1841,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 0)) <=> v90(constB84, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 0)) <=> v90(constB84, 0))))))),
% 5.98/4.23 inference(monotonicity,[status(thm)],[1840])).
% 5.98/4.23 tff(1842,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 0)) <=> v90(constB84, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 0)) <=> v90(constB84, 0)))))),
% 5.98/4.23 inference(transitivity,[status(thm)],[1841, 1839])).
% 5.98/4.23 tff(1843,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 0)) <=> v90(constB84, 0)))))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1844,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 0)) <=> v90(constB84, 0))))),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1843, 1842])).
% 5.98/4.23 tff(1845,plain,
% 5.98/4.23 (v100(constB85) | (~(((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 0)) <=> v90(constB84, 0))))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1844, 1815, 325])).
% 5.98/4.23 tff(1846,plain,
% 5.98/4.23 (~(((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 0)) <=> v90(constB84, 0)))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1845, 1838])).
% 5.98/4.23 tff(1847,plain,
% 5.98/4.23 ((((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 0)) <=> v90(constB84, 0))) | (~((~v90(constB85, 2)) <=> v90(constB84, 2)))),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1848,plain,
% 5.98/4.23 (~((~v90(constB85, 2)) <=> v90(constB84, 2))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1847, 1846])).
% 5.98/4.23 tff(1849,plain,
% 5.98/4.23 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1850,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_83')).
% 5.98/4.23 tff(1851,plain,
% 5.98/4.23 (nextState(constB83, constB84)),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1850, 1849])).
% 5.98/4.23 tff(1852,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB83, constB84)) | (~(((~v129(constB84, 2)) <=> v127(constB83, 2)) | ((~v129(constB84, 1)) <=> v127(constB83, 1)) | ((~v129(constB84, 0)) <=> v127(constB83, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB83, constB84)) | (~(((~v129(constB84, 2)) <=> v127(constB83, 2)) | ((~v129(constB84, 1)) <=> v127(constB83, 1)) | ((~v129(constB84, 0)) <=> v127(constB83, 0)))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1853,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB83, constB84)) | (~(((~v129(constB84, 2)) <=> v127(constB83, 2)) | ((~v129(constB84, 1)) <=> v127(constB83, 1)) | ((~v129(constB84, 0)) <=> v127(constB83, 0)))))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1854,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB83, constB84)) | (~(((~v129(constB84, 2)) <=> v127(constB83, 2)) | ((~v129(constB84, 1)) <=> v127(constB83, 1)) | ((~v129(constB84, 0)) <=> v127(constB83, 0))))),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1853, 1852])).
% 5.98/4.23 tff(1855,plain,
% 5.98/4.23 (~(((~v129(constB84, 2)) <=> v127(constB83, 2)) | ((~v129(constB84, 1)) <=> v127(constB83, 1)) | ((~v129(constB84, 0)) <=> v127(constB83, 0)))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1854, 1851, 348])).
% 5.98/4.23 tff(1856,plain,
% 5.98/4.23 ((((~v129(constB84, 2)) <=> v127(constB83, 2)) | ((~v129(constB84, 1)) <=> v127(constB83, 1)) | ((~v129(constB84, 0)) <=> v127(constB83, 0))) | (~((~v129(constB84, 2)) <=> v127(constB83, 2)))),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1857,plain,
% 5.98/4.23 (~((~v129(constB84, 2)) <=> v127(constB83, 2))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1856, 1855])).
% 5.98/4.23 tff(1858,plain,
% 5.98/4.23 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB83) <=> v26(constB83))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1859,plain,
% 5.98/4.23 (v111(constB83) <=> v26(constB83)),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1858, 367])).
% 5.98/4.23 tff(1860,plain,
% 5.98/4.23 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB83))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1861,plain,
% 5.98/4.23 (~v26(constB83)),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1860, 379])).
% 5.98/4.23 tff(1862,plain,
% 5.98/4.23 ((~(v111(constB83) <=> v26(constB83))) | (~v111(constB83)) | v26(constB83)),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1863,plain,
% 5.98/4.23 ((~(v111(constB83) <=> v26(constB83))) | (~v111(constB83))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1862, 1861])).
% 5.98/4.23 tff(1864,plain,
% 5.98/4.23 (~v111(constB83)),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1863, 1859])).
% 5.98/4.23 tff(1865,plain,
% 5.98/4.23 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB83) | (~(((~v127(constB83, 2)) <=> v130(constB83, 2)) | ((~v127(constB83, 1)) <=> v130(constB83, 1)) | ((~v127(constB83, 0)) <=> v130(constB83, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB83) | (~(((~v127(constB83, 2)) <=> v130(constB83, 2)) | ((~v127(constB83, 1)) <=> v130(constB83, 1)) | ((~v127(constB83, 0)) <=> v130(constB83, 0)))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1866,plain,
% 5.98/4.23 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB83) | (~(((~v127(constB83, 2)) <=> v130(constB83, 2)) | ((~v127(constB83, 1)) <=> v130(constB83, 1)) | ((~v127(constB83, 0)) <=> v130(constB83, 0)))))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1867,plain,
% 5.98/4.23 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB83) | (~(((~v127(constB83, 2)) <=> v130(constB83, 2)) | ((~v127(constB83, 1)) <=> v130(constB83, 1)) | ((~v127(constB83, 0)) <=> v130(constB83, 0))))),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 5.98/4.23 tff(1868,plain,
% 5.98/4.23 (v111(constB83) | (~(((~v127(constB83, 2)) <=> v130(constB83, 2)) | ((~v127(constB83, 1)) <=> v130(constB83, 1)) | ((~v127(constB83, 0)) <=> v130(constB83, 0))))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1867, 397])).
% 5.98/4.23 tff(1869,plain,
% 5.98/4.23 (~(((~v127(constB83, 2)) <=> v130(constB83, 2)) | ((~v127(constB83, 1)) <=> v130(constB83, 1)) | ((~v127(constB83, 0)) <=> v130(constB83, 0)))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1868, 1864])).
% 5.98/4.23 tff(1870,plain,
% 5.98/4.23 ((((~v127(constB83, 2)) <=> v130(constB83, 2)) | ((~v127(constB83, 1)) <=> v130(constB83, 1)) | ((~v127(constB83, 0)) <=> v130(constB83, 0))) | (~((~v127(constB83, 2)) <=> v130(constB83, 2)))),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1871,plain,
% 5.98/4.23 (~((~v127(constB83, 2)) <=> v130(constB83, 2))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1870, 1869])).
% 5.98/4.23 tff(1872,plain,
% 5.98/4.23 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB83) <=> (~(v90(constB83, 1) | v90(constB83, 0) | (~v90(constB83, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB83) <=> (~(v90(constB83, 1) | v90(constB83, 0) | (~v90(constB83, 2))))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1873,plain,
% 5.98/4.23 ((v123(constB83) <=> (~(v90(constB83, 0) | v90(constB83, 1) | (~v90(constB83, 2))))) <=> (v123(constB83) <=> (~(v90(constB83, 1) | v90(constB83, 0) | (~v90(constB83, 2)))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1874,plain,
% 5.98/4.23 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB83) <=> (~(v90(constB83, 0) | v90(constB83, 1) | (~v90(constB83, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB83) <=> (~(v90(constB83, 1) | v90(constB83, 0) | (~v90(constB83, 2))))))),
% 5.98/4.23 inference(monotonicity,[status(thm)],[1873])).
% 5.98/4.23 tff(1875,plain,
% 5.98/4.23 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB83) <=> (~(v90(constB83, 0) | v90(constB83, 1) | (~v90(constB83, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB83) <=> (~(v90(constB83, 1) | v90(constB83, 0) | (~v90(constB83, 2))))))),
% 5.98/4.23 inference(transitivity,[status(thm)],[1874, 1872])).
% 5.98/4.23 tff(1876,plain,
% 5.98/4.23 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB83) <=> (~(v90(constB83, 0) | v90(constB83, 1) | (~v90(constB83, 2)))))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1877,plain,
% 5.98/4.23 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB83) <=> (~(v90(constB83, 1) | v90(constB83, 0) | (~v90(constB83, 2)))))),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1876, 1875])).
% 5.98/4.23 tff(1878,plain,
% 5.98/4.23 (v123(constB83) <=> (~(v90(constB83, 1) | v90(constB83, 0) | (~v90(constB83, 2))))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1877, 565])).
% 5.98/4.23 tff(1879,plain,
% 5.98/4.23 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1880,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_82')).
% 5.98/4.23 tff(1881,plain,
% 5.98/4.23 (nextState(constB82, constB83)),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1880, 1879])).
% 5.98/4.23 tff(1882,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1883,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1884,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83)))))),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1883, 1882])).
% 5.98/4.23 tff(1885,plain,
% 5.98/4.23 (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1884, 1881, 273])).
% 5.98/4.23 tff(1886,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1887,plain,
% 5.98/4.23 (((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83)))))) <=> ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1888,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))))),
% 5.98/4.23 inference(monotonicity,[status(thm)],[1887])).
% 5.98/4.23 tff(1889,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))),
% 5.98/4.23 inference(transitivity,[status(thm)],[1888, 1886])).
% 5.98/4.23 tff(1890,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83))))))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1891,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1890, 1889])).
% 5.98/4.23 tff(1892,plain,
% 5.98/4.23 (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1891, 1881, 293])).
% 5.98/4.23 tff(1893,plain,
% 5.98/4.23 ((~v1(constB83)) <=> (~v1(constB83))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1894,axiom,(~v1(constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_83')).
% 5.98/4.23 tff(1895,plain,
% 5.98/4.23 (~v1(constB83)),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1894, 1893])).
% 5.98/4.23 tff(1896,plain,
% 5.98/4.23 (((~v1(constB83)) | (~v102(constB83))) | v1(constB83)),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1897,plain,
% 5.98/4.23 ((~v1(constB83)) | (~v102(constB83))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1896, 1895])).
% 5.98/4.23 tff(1898,plain,
% 5.98/4.23 ((~(v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))) | (~v101(constB83)) | (~((~v1(constB83)) | (~v102(constB83))))),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1899,plain,
% 5.98/4.23 ((~(v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))) | (~v101(constB83))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1898, 1897])).
% 5.98/4.23 tff(1900,plain,
% 5.98/4.23 (~v101(constB83)),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1899, 1892])).
% 5.98/4.23 tff(1901,plain,
% 5.98/4.23 (((~v101(constB83)) | (~v110(constB83))) | v101(constB83)),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1902,plain,
% 5.98/4.23 ((~v101(constB83)) | (~v110(constB83))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1901, 1900])).
% 5.98/4.23 tff(1903,plain,
% 5.98/4.23 ((~(v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83)))))) | (~v100(constB83)) | (~((~v101(constB83)) | (~v110(constB83))))),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1904,plain,
% 5.98/4.23 (~v100(constB83)),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1903, 1902, 1885])).
% 5.98/4.23 tff(1905,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 0)) <=> v90(constB82, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 0)) <=> v90(constB82, 0)))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1906,plain,
% 5.98/4.23 ((v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 0)) <=> v90(constB82, 0))))) <=> (v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 0)) <=> v90(constB82, 0)))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1907,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 0)) <=> v90(constB82, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 0)) <=> v90(constB82, 0))))))),
% 5.98/4.23 inference(monotonicity,[status(thm)],[1906])).
% 5.98/4.23 tff(1908,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 0)) <=> v90(constB82, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 0)) <=> v90(constB82, 0)))))),
% 5.98/4.23 inference(transitivity,[status(thm)],[1907, 1905])).
% 5.98/4.23 tff(1909,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 0)) <=> v90(constB82, 0)))))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1910,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 0)) <=> v90(constB82, 0))))),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1909, 1908])).
% 5.98/4.23 tff(1911,plain,
% 5.98/4.23 (v100(constB83) | (~(((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 0)) <=> v90(constB82, 0))))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1910, 1881, 325])).
% 5.98/4.23 tff(1912,plain,
% 5.98/4.23 (~(((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 0)) <=> v90(constB82, 0)))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1911, 1904])).
% 5.98/4.23 tff(1913,plain,
% 5.98/4.23 ((((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 0)) <=> v90(constB82, 0))) | (~((~v90(constB83, 2)) <=> v90(constB82, 2)))),
% 5.98/4.23 inference(tautology,[status(thm)],[])).
% 5.98/4.23 tff(1914,plain,
% 5.98/4.23 (~((~v90(constB83, 2)) <=> v90(constB82, 2))),
% 5.98/4.23 inference(unit_resolution,[status(thm)],[1913, 1912])).
% 5.98/4.23 tff(1915,plain,
% 5.98/4.23 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1916,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_81')).
% 5.98/4.23 tff(1917,plain,
% 5.98/4.23 (nextState(constB81, constB82)),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1916, 1915])).
% 5.98/4.23 tff(1918,plain,
% 5.98/4.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB81, constB82)) | (~(((~v129(constB82, 2)) <=> v127(constB81, 2)) | ((~v129(constB82, 1)) <=> v127(constB81, 1)) | ((~v129(constB82, 0)) <=> v127(constB81, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB81, constB82)) | (~(((~v129(constB82, 2)) <=> v127(constB81, 2)) | ((~v129(constB82, 1)) <=> v127(constB81, 1)) | ((~v129(constB82, 0)) <=> v127(constB81, 0)))))),
% 5.98/4.23 inference(rewrite,[status(thm)],[])).
% 5.98/4.23 tff(1919,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB81, constB82)) | (~(((~v129(constB82, 2)) <=> v127(constB81, 2)) | ((~v129(constB82, 1)) <=> v127(constB81, 1)) | ((~v129(constB82, 0)) <=> v127(constB81, 0)))))),
% 5.98/4.23 inference(quant_inst,[status(thm)],[])).
% 5.98/4.23 tff(1920,plain,
% 5.98/4.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB81, constB82)) | (~(((~v129(constB82, 2)) <=> v127(constB81, 2)) | ((~v129(constB82, 1)) <=> v127(constB81, 1)) | ((~v129(constB82, 0)) <=> v127(constB81, 0))))),
% 5.98/4.23 inference(modus_ponens,[status(thm)],[1919, 1918])).
% 5.98/4.23 tff(1921,plain,
% 5.98/4.23 (~(((~v129(constB82, 2)) <=> v127(constB81, 2)) | ((~v129(constB82, 1)) <=> v127(constB81, 1)) | ((~v129(constB82, 0)) <=> v127(constB81, 0)))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1920, 1917, 348])).
% 5.98/4.24 tff(1922,plain,
% 5.98/4.24 ((((~v129(constB82, 2)) <=> v127(constB81, 2)) | ((~v129(constB82, 1)) <=> v127(constB81, 1)) | ((~v129(constB82, 0)) <=> v127(constB81, 0))) | (~((~v129(constB82, 2)) <=> v127(constB81, 2)))),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(1923,plain,
% 5.98/4.24 (~((~v129(constB82, 2)) <=> v127(constB81, 2))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1922, 1921])).
% 5.98/4.24 tff(1924,plain,
% 5.98/4.24 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB81) <=> v26(constB81))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(1925,plain,
% 5.98/4.24 (v111(constB81) <=> v26(constB81)),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1924, 367])).
% 5.98/4.24 tff(1926,plain,
% 5.98/4.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB81))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(1927,plain,
% 5.98/4.24 (~v26(constB81)),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1926, 379])).
% 5.98/4.24 tff(1928,plain,
% 5.98/4.24 ((~(v111(constB81) <=> v26(constB81))) | (~v111(constB81)) | v26(constB81)),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(1929,plain,
% 5.98/4.24 ((~(v111(constB81) <=> v26(constB81))) | (~v111(constB81))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1928, 1927])).
% 5.98/4.24 tff(1930,plain,
% 5.98/4.24 (~v111(constB81)),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1929, 1925])).
% 5.98/4.24 tff(1931,plain,
% 5.98/4.24 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB81) | (~(((~v127(constB81, 2)) <=> v130(constB81, 2)) | ((~v127(constB81, 1)) <=> v130(constB81, 1)) | ((~v127(constB81, 0)) <=> v130(constB81, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB81) | (~(((~v127(constB81, 2)) <=> v130(constB81, 2)) | ((~v127(constB81, 1)) <=> v130(constB81, 1)) | ((~v127(constB81, 0)) <=> v130(constB81, 0)))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(1932,plain,
% 5.98/4.24 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB81) | (~(((~v127(constB81, 2)) <=> v130(constB81, 2)) | ((~v127(constB81, 1)) <=> v130(constB81, 1)) | ((~v127(constB81, 0)) <=> v130(constB81, 0)))))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(1933,plain,
% 5.98/4.24 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB81) | (~(((~v127(constB81, 2)) <=> v130(constB81, 2)) | ((~v127(constB81, 1)) <=> v130(constB81, 1)) | ((~v127(constB81, 0)) <=> v130(constB81, 0))))),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 5.98/4.24 tff(1934,plain,
% 5.98/4.24 (v111(constB81) | (~(((~v127(constB81, 2)) <=> v130(constB81, 2)) | ((~v127(constB81, 1)) <=> v130(constB81, 1)) | ((~v127(constB81, 0)) <=> v130(constB81, 0))))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1933, 397])).
% 5.98/4.24 tff(1935,plain,
% 5.98/4.24 (~(((~v127(constB81, 2)) <=> v130(constB81, 2)) | ((~v127(constB81, 1)) <=> v130(constB81, 1)) | ((~v127(constB81, 0)) <=> v130(constB81, 0)))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1934, 1930])).
% 5.98/4.24 tff(1936,plain,
% 5.98/4.24 ((((~v127(constB81, 2)) <=> v130(constB81, 2)) | ((~v127(constB81, 1)) <=> v130(constB81, 1)) | ((~v127(constB81, 0)) <=> v130(constB81, 0))) | (~((~v127(constB81, 2)) <=> v130(constB81, 2)))),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(1937,plain,
% 5.98/4.24 (~((~v127(constB81, 2)) <=> v130(constB81, 2))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1936, 1935])).
% 5.98/4.24 tff(1938,plain,
% 5.98/4.24 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB81) <=> (~(v90(constB81, 2) | (~v90(constB81, 1)) | (~v90(constB81, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB81) <=> (~(v90(constB81, 2) | (~v90(constB81, 1)) | (~v90(constB81, 0))))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(1939,plain,
% 5.98/4.24 ((v122(constB81) <=> (~(v90(constB81, 2) | (~v90(constB81, 0)) | (~v90(constB81, 1))))) <=> (v122(constB81) <=> (~(v90(constB81, 2) | (~v90(constB81, 1)) | (~v90(constB81, 0)))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(1940,plain,
% 5.98/4.24 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB81) <=> (~(v90(constB81, 2) | (~v90(constB81, 0)) | (~v90(constB81, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB81) <=> (~(v90(constB81, 2) | (~v90(constB81, 1)) | (~v90(constB81, 0))))))),
% 5.98/4.24 inference(monotonicity,[status(thm)],[1939])).
% 5.98/4.24 tff(1941,plain,
% 5.98/4.24 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB81) <=> (~(v90(constB81, 2) | (~v90(constB81, 0)) | (~v90(constB81, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB81) <=> (~(v90(constB81, 2) | (~v90(constB81, 1)) | (~v90(constB81, 0))))))),
% 5.98/4.24 inference(transitivity,[status(thm)],[1940, 1938])).
% 5.98/4.24 tff(1942,plain,
% 5.98/4.24 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB81) <=> (~(v90(constB81, 2) | (~v90(constB81, 0)) | (~v90(constB81, 1)))))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(1943,plain,
% 5.98/4.24 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB81) <=> (~(v90(constB81, 2) | (~v90(constB81, 1)) | (~v90(constB81, 0)))))),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[1942, 1941])).
% 5.98/4.24 tff(1944,plain,
% 5.98/4.24 (v122(constB81) <=> (~(v90(constB81, 2) | (~v90(constB81, 1)) | (~v90(constB81, 0))))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1943, 644])).
% 5.98/4.24 tff(1945,plain,
% 5.98/4.24 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(1946,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_80')).
% 5.98/4.24 tff(1947,plain,
% 5.98/4.24 (nextState(constB80, constB81)),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[1946, 1945])).
% 5.98/4.24 tff(1948,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(1949,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(1950,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81)))))),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[1949, 1948])).
% 5.98/4.24 tff(1951,plain,
% 5.98/4.24 (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1950, 1947, 273])).
% 5.98/4.24 tff(1952,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(1953,plain,
% 5.98/4.24 (((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81)))))) <=> ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(1954,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))))),
% 5.98/4.24 inference(monotonicity,[status(thm)],[1953])).
% 5.98/4.24 tff(1955,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))),
% 5.98/4.24 inference(transitivity,[status(thm)],[1954, 1952])).
% 5.98/4.24 tff(1956,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81))))))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(1957,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 5.98/4.24 tff(1958,plain,
% 5.98/4.24 (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1957, 1947, 293])).
% 5.98/4.24 tff(1959,plain,
% 5.98/4.24 ((~v1(constB81)) <=> (~v1(constB81))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(1960,axiom,(~v1(constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_81')).
% 5.98/4.24 tff(1961,plain,
% 5.98/4.24 (~v1(constB81)),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[1960, 1959])).
% 5.98/4.24 tff(1962,plain,
% 5.98/4.24 (((~v1(constB81)) | (~v102(constB81))) | v1(constB81)),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(1963,plain,
% 5.98/4.24 ((~v1(constB81)) | (~v102(constB81))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1962, 1961])).
% 5.98/4.24 tff(1964,plain,
% 5.98/4.24 ((~(v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))) | (~v101(constB81)) | (~((~v1(constB81)) | (~v102(constB81))))),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(1965,plain,
% 5.98/4.24 ((~(v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))) | (~v101(constB81))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1964, 1963])).
% 5.98/4.24 tff(1966,plain,
% 5.98/4.24 (~v101(constB81)),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1965, 1958])).
% 5.98/4.24 tff(1967,plain,
% 5.98/4.24 (((~v101(constB81)) | (~v110(constB81))) | v101(constB81)),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(1968,plain,
% 5.98/4.24 ((~v101(constB81)) | (~v110(constB81))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1967, 1966])).
% 5.98/4.24 tff(1969,plain,
% 5.98/4.24 ((~(v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81)))))) | (~v100(constB81)) | (~((~v101(constB81)) | (~v110(constB81))))),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(1970,plain,
% 5.98/4.24 (~v100(constB81)),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1969, 1968, 1951])).
% 5.98/4.24 tff(1971,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 0)) <=> v90(constB80, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 0)) <=> v90(constB80, 0)))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(1972,plain,
% 5.98/4.24 ((v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 0)) <=> v90(constB80, 0))))) <=> (v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 0)) <=> v90(constB80, 0)))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(1973,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 0)) <=> v90(constB80, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 0)) <=> v90(constB80, 0))))))),
% 5.98/4.24 inference(monotonicity,[status(thm)],[1972])).
% 5.98/4.24 tff(1974,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 0)) <=> v90(constB80, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 0)) <=> v90(constB80, 0)))))),
% 5.98/4.24 inference(transitivity,[status(thm)],[1973, 1971])).
% 5.98/4.24 tff(1975,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 0)) <=> v90(constB80, 0)))))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(1976,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 0)) <=> v90(constB80, 0))))),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[1975, 1974])).
% 5.98/4.24 tff(1977,plain,
% 5.98/4.24 (v100(constB81) | (~(((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 0)) <=> v90(constB80, 0))))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1976, 1947, 325])).
% 5.98/4.24 tff(1978,plain,
% 5.98/4.24 (~(((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 0)) <=> v90(constB80, 0)))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1977, 1970])).
% 5.98/4.24 tff(1979,plain,
% 5.98/4.24 ((((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 0)) <=> v90(constB80, 0))) | (~((~v90(constB81, 2)) <=> v90(constB80, 2)))),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(1980,plain,
% 5.98/4.24 (~((~v90(constB81, 2)) <=> v90(constB80, 2))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1979, 1978])).
% 5.98/4.24 tff(1981,plain,
% 5.98/4.24 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(1982,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_79')).
% 5.98/4.24 tff(1983,plain,
% 5.98/4.24 (nextState(constB79, constB80)),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[1982, 1981])).
% 5.98/4.24 tff(1984,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB79, constB80)) | (~(((~v129(constB80, 2)) <=> v127(constB79, 2)) | ((~v129(constB80, 1)) <=> v127(constB79, 1)) | ((~v129(constB80, 0)) <=> v127(constB79, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB79, constB80)) | (~(((~v129(constB80, 2)) <=> v127(constB79, 2)) | ((~v129(constB80, 1)) <=> v127(constB79, 1)) | ((~v129(constB80, 0)) <=> v127(constB79, 0)))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(1985,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB79, constB80)) | (~(((~v129(constB80, 2)) <=> v127(constB79, 2)) | ((~v129(constB80, 1)) <=> v127(constB79, 1)) | ((~v129(constB80, 0)) <=> v127(constB79, 0)))))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(1986,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB79, constB80)) | (~(((~v129(constB80, 2)) <=> v127(constB79, 2)) | ((~v129(constB80, 1)) <=> v127(constB79, 1)) | ((~v129(constB80, 0)) <=> v127(constB79, 0))))),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[1985, 1984])).
% 5.98/4.24 tff(1987,plain,
% 5.98/4.24 (~(((~v129(constB80, 2)) <=> v127(constB79, 2)) | ((~v129(constB80, 1)) <=> v127(constB79, 1)) | ((~v129(constB80, 0)) <=> v127(constB79, 0)))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1986, 1983, 348])).
% 5.98/4.24 tff(1988,plain,
% 5.98/4.24 ((((~v129(constB80, 2)) <=> v127(constB79, 2)) | ((~v129(constB80, 1)) <=> v127(constB79, 1)) | ((~v129(constB80, 0)) <=> v127(constB79, 0))) | (~((~v129(constB80, 2)) <=> v127(constB79, 2)))),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(1989,plain,
% 5.98/4.24 (~((~v129(constB80, 2)) <=> v127(constB79, 2))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1988, 1987])).
% 5.98/4.24 tff(1990,plain,
% 5.98/4.24 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB79) <=> v26(constB79))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(1991,plain,
% 5.98/4.24 (v111(constB79) <=> v26(constB79)),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1990, 367])).
% 5.98/4.24 tff(1992,plain,
% 5.98/4.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB79))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(1993,plain,
% 5.98/4.24 (~v26(constB79)),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1992, 379])).
% 5.98/4.24 tff(1994,plain,
% 5.98/4.24 ((~(v111(constB79) <=> v26(constB79))) | (~v111(constB79)) | v26(constB79)),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(1995,plain,
% 5.98/4.24 ((~(v111(constB79) <=> v26(constB79))) | (~v111(constB79))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1994, 1993])).
% 5.98/4.24 tff(1996,plain,
% 5.98/4.24 (~v111(constB79)),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1995, 1991])).
% 5.98/4.24 tff(1997,plain,
% 5.98/4.24 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB79) | (~(((~v127(constB79, 2)) <=> v130(constB79, 2)) | ((~v127(constB79, 1)) <=> v130(constB79, 1)) | ((~v127(constB79, 0)) <=> v130(constB79, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB79) | (~(((~v127(constB79, 2)) <=> v130(constB79, 2)) | ((~v127(constB79, 1)) <=> v130(constB79, 1)) | ((~v127(constB79, 0)) <=> v130(constB79, 0)))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(1998,plain,
% 5.98/4.24 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB79) | (~(((~v127(constB79, 2)) <=> v130(constB79, 2)) | ((~v127(constB79, 1)) <=> v130(constB79, 1)) | ((~v127(constB79, 0)) <=> v130(constB79, 0)))))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(1999,plain,
% 5.98/4.24 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB79) | (~(((~v127(constB79, 2)) <=> v130(constB79, 2)) | ((~v127(constB79, 1)) <=> v130(constB79, 1)) | ((~v127(constB79, 0)) <=> v130(constB79, 0))))),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[1998, 1997])).
% 5.98/4.24 tff(2000,plain,
% 5.98/4.24 (v111(constB79) | (~(((~v127(constB79, 2)) <=> v130(constB79, 2)) | ((~v127(constB79, 1)) <=> v130(constB79, 1)) | ((~v127(constB79, 0)) <=> v130(constB79, 0))))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[1999, 397])).
% 5.98/4.24 tff(2001,plain,
% 5.98/4.24 (~(((~v127(constB79, 2)) <=> v130(constB79, 2)) | ((~v127(constB79, 1)) <=> v130(constB79, 1)) | ((~v127(constB79, 0)) <=> v130(constB79, 0)))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2000, 1996])).
% 5.98/4.24 tff(2002,plain,
% 5.98/4.24 ((((~v127(constB79, 2)) <=> v130(constB79, 2)) | ((~v127(constB79, 1)) <=> v130(constB79, 1)) | ((~v127(constB79, 0)) <=> v130(constB79, 0))) | (~((~v127(constB79, 2)) <=> v130(constB79, 2)))),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(2003,plain,
% 5.98/4.24 (~((~v127(constB79, 2)) <=> v130(constB79, 2))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2002, 2001])).
% 5.98/4.24 tff(2004,plain,
% 5.98/4.24 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB79) <=> (~(v90(constB79, 2) | v90(constB79, 0) | (~v90(constB79, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB79) <=> (~(v90(constB79, 2) | v90(constB79, 0) | (~v90(constB79, 1))))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(2005,plain,
% 5.98/4.24 ((v121(constB79) <=> (~(v90(constB79, 0) | v90(constB79, 2) | (~v90(constB79, 1))))) <=> (v121(constB79) <=> (~(v90(constB79, 2) | v90(constB79, 0) | (~v90(constB79, 1)))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(2006,plain,
% 5.98/4.24 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB79) <=> (~(v90(constB79, 0) | v90(constB79, 2) | (~v90(constB79, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB79) <=> (~(v90(constB79, 2) | v90(constB79, 0) | (~v90(constB79, 1))))))),
% 5.98/4.24 inference(monotonicity,[status(thm)],[2005])).
% 5.98/4.24 tff(2007,plain,
% 5.98/4.24 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB79) <=> (~(v90(constB79, 0) | v90(constB79, 2) | (~v90(constB79, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB79) <=> (~(v90(constB79, 2) | v90(constB79, 0) | (~v90(constB79, 1))))))),
% 5.98/4.24 inference(transitivity,[status(thm)],[2006, 2004])).
% 5.98/4.24 tff(2008,plain,
% 5.98/4.24 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB79) <=> (~(v90(constB79, 0) | v90(constB79, 2) | (~v90(constB79, 1)))))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(2009,plain,
% 5.98/4.24 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB79) <=> (~(v90(constB79, 2) | v90(constB79, 0) | (~v90(constB79, 1)))))),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[2008, 2007])).
% 5.98/4.24 tff(2010,plain,
% 5.98/4.24 (v121(constB79) <=> (~(v90(constB79, 2) | v90(constB79, 0) | (~v90(constB79, 1))))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2009, 723])).
% 5.98/4.24 tff(2011,plain,
% 5.98/4.24 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(2012,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_78')).
% 5.98/4.24 tff(2013,plain,
% 5.98/4.24 (nextState(constB78, constB79)),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[2012, 2011])).
% 5.98/4.24 tff(2014,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(2015,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(2016,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79)))))),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[2015, 2014])).
% 5.98/4.24 tff(2017,plain,
% 5.98/4.24 (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2016, 2013, 273])).
% 5.98/4.24 tff(2018,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(2019,plain,
% 5.98/4.24 (((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79)))))) <=> ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(2020,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))))),
% 5.98/4.24 inference(monotonicity,[status(thm)],[2019])).
% 5.98/4.24 tff(2021,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 5.98/4.24 inference(transitivity,[status(thm)],[2020, 2018])).
% 5.98/4.24 tff(2022,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(2023,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[2022, 2021])).
% 5.98/4.24 tff(2024,plain,
% 5.98/4.24 (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2023, 2013, 293])).
% 5.98/4.24 tff(2025,plain,
% 5.98/4.24 ((~v1(constB79)) <=> (~v1(constB79))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(2026,axiom,(~v1(constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_79')).
% 5.98/4.24 tff(2027,plain,
% 5.98/4.24 (~v1(constB79)),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[2026, 2025])).
% 5.98/4.24 tff(2028,plain,
% 5.98/4.24 (((~v1(constB79)) | (~v102(constB79))) | v1(constB79)),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(2029,plain,
% 5.98/4.24 ((~v1(constB79)) | (~v102(constB79))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2028, 2027])).
% 5.98/4.24 tff(2030,plain,
% 5.98/4.24 ((~(v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))) | (~v101(constB79)) | (~((~v1(constB79)) | (~v102(constB79))))),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(2031,plain,
% 5.98/4.24 ((~(v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))) | (~v101(constB79))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2030, 2029])).
% 5.98/4.24 tff(2032,plain,
% 5.98/4.24 (~v101(constB79)),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2031, 2024])).
% 5.98/4.24 tff(2033,plain,
% 5.98/4.24 (((~v101(constB79)) | (~v110(constB79))) | v101(constB79)),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(2034,plain,
% 5.98/4.24 ((~v101(constB79)) | (~v110(constB79))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2033, 2032])).
% 5.98/4.24 tff(2035,plain,
% 5.98/4.24 ((~(v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79)))))) | (~v100(constB79)) | (~((~v101(constB79)) | (~v110(constB79))))),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(2036,plain,
% 5.98/4.24 (~v100(constB79)),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2035, 2034, 2017])).
% 5.98/4.24 tff(2037,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(2038,plain,
% 5.98/4.24 ((v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 0)) <=> v90(constB78, 0))))) <=> (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(2039,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0))))))),
% 5.98/4.24 inference(monotonicity,[status(thm)],[2038])).
% 5.98/4.24 tff(2040,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))))),
% 5.98/4.24 inference(transitivity,[status(thm)],[2039, 2037])).
% 5.98/4.24 tff(2041,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(2042,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0))))),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[2041, 2040])).
% 5.98/4.24 tff(2043,plain,
% 5.98/4.24 (v100(constB79) | (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0))))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2042, 2013, 325])).
% 5.98/4.24 tff(2044,plain,
% 5.98/4.24 (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2043, 2036])).
% 5.98/4.24 tff(2045,plain,
% 5.98/4.24 ((((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0))) | (~((~v90(constB79, 2)) <=> v90(constB78, 2)))),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(2046,plain,
% 5.98/4.24 (~((~v90(constB79, 2)) <=> v90(constB78, 2))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2045, 2044])).
% 5.98/4.24 tff(2047,plain,
% 5.98/4.24 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(2048,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_77')).
% 5.98/4.24 tff(2049,plain,
% 5.98/4.24 (nextState(constB77, constB78)),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 5.98/4.24 tff(2050,plain,
% 5.98/4.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB77, constB78)) | (~(((~v129(constB78, 2)) <=> v127(constB77, 2)) | ((~v129(constB78, 1)) <=> v127(constB77, 1)) | ((~v129(constB78, 0)) <=> v127(constB77, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB77, constB78)) | (~(((~v129(constB78, 2)) <=> v127(constB77, 2)) | ((~v129(constB78, 1)) <=> v127(constB77, 1)) | ((~v129(constB78, 0)) <=> v127(constB77, 0)))))),
% 5.98/4.24 inference(rewrite,[status(thm)],[])).
% 5.98/4.24 tff(2051,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB77, constB78)) | (~(((~v129(constB78, 2)) <=> v127(constB77, 2)) | ((~v129(constB78, 1)) <=> v127(constB77, 1)) | ((~v129(constB78, 0)) <=> v127(constB77, 0)))))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(2052,plain,
% 5.98/4.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB77, constB78)) | (~(((~v129(constB78, 2)) <=> v127(constB77, 2)) | ((~v129(constB78, 1)) <=> v127(constB77, 1)) | ((~v129(constB78, 0)) <=> v127(constB77, 0))))),
% 5.98/4.24 inference(modus_ponens,[status(thm)],[2051, 2050])).
% 5.98/4.24 tff(2053,plain,
% 5.98/4.24 (~(((~v129(constB78, 2)) <=> v127(constB77, 2)) | ((~v129(constB78, 1)) <=> v127(constB77, 1)) | ((~v129(constB78, 0)) <=> v127(constB77, 0)))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2052, 2049, 348])).
% 5.98/4.24 tff(2054,plain,
% 5.98/4.24 ((((~v129(constB78, 2)) <=> v127(constB77, 2)) | ((~v129(constB78, 1)) <=> v127(constB77, 1)) | ((~v129(constB78, 0)) <=> v127(constB77, 0))) | (~((~v129(constB78, 2)) <=> v127(constB77, 2)))),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(2055,plain,
% 5.98/4.24 (~((~v129(constB78, 2)) <=> v127(constB77, 2))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2054, 2053])).
% 5.98/4.24 tff(2056,plain,
% 5.98/4.24 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB77) <=> v26(constB77))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(2057,plain,
% 5.98/4.24 (v111(constB77) <=> v26(constB77)),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2056, 367])).
% 5.98/4.24 tff(2058,plain,
% 5.98/4.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB77))),
% 5.98/4.24 inference(quant_inst,[status(thm)],[])).
% 5.98/4.24 tff(2059,plain,
% 5.98/4.24 (~v26(constB77)),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2058, 379])).
% 5.98/4.24 tff(2060,plain,
% 5.98/4.24 ((~(v111(constB77) <=> v26(constB77))) | (~v111(constB77)) | v26(constB77)),
% 5.98/4.24 inference(tautology,[status(thm)],[])).
% 5.98/4.24 tff(2061,plain,
% 5.98/4.24 ((~(v111(constB77) <=> v26(constB77))) | (~v111(constB77))),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2060, 2059])).
% 5.98/4.24 tff(2062,plain,
% 5.98/4.24 (~v111(constB77)),
% 5.98/4.24 inference(unit_resolution,[status(thm)],[2061, 2057])).
% 5.98/4.24 tff(2063,plain,
% 5.98/4.24 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB77) | (~(((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB77) | (~(((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0)))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2064,plain,
% 5.98/4.25 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB77) | (~(((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0)))))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2065,plain,
% 5.98/4.25 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB77) | (~(((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0))))),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2064, 2063])).
% 5.98/4.25 tff(2066,plain,
% 5.98/4.25 (v111(constB77) | (~(((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0))))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2065, 397])).
% 5.98/4.25 tff(2067,plain,
% 5.98/4.25 (~(((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0)))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2066, 2062])).
% 5.98/4.25 tff(2068,plain,
% 5.98/4.25 ((((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0))) | (~((~v127(constB77, 2)) <=> v130(constB77, 2)))),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2069,plain,
% 5.98/4.25 (~((~v127(constB77, 2)) <=> v130(constB77, 2))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2068, 2067])).
% 5.98/4.25 tff(2070,plain,
% 5.98/4.25 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB77) <=> (~(v90(constB77, 1) | v90(constB77, 2) | (~v90(constB77, 0)))))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2071,plain,
% 5.98/4.25 (v120(constB77) <=> (~(v90(constB77, 1) | v90(constB77, 2) | (~v90(constB77, 0))))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2070, 417])).
% 5.98/4.25 tff(2072,plain,
% 5.98/4.25 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2073,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_76')).
% 5.98/4.25 tff(2074,plain,
% 5.98/4.25 (nextState(constB76, constB77)),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2073, 2072])).
% 5.98/4.25 tff(2075,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2076,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2077,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77)))))),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2076, 2075])).
% 5.98/4.25 tff(2078,plain,
% 5.98/4.25 (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2077, 2074, 273])).
% 5.98/4.25 tff(2079,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2080,plain,
% 5.98/4.25 (((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77)))))) <=> ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2081,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))))),
% 5.98/4.25 inference(monotonicity,[status(thm)],[2080])).
% 5.98/4.25 tff(2082,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 5.98/4.25 inference(transitivity,[status(thm)],[2081, 2079])).
% 5.98/4.25 tff(2083,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2084,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2083, 2082])).
% 5.98/4.25 tff(2085,plain,
% 5.98/4.25 (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2084, 2074, 293])).
% 5.98/4.25 tff(2086,plain,
% 5.98/4.25 ((~v1(constB77)) <=> (~v1(constB77))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2087,axiom,(~v1(constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_77')).
% 5.98/4.25 tff(2088,plain,
% 5.98/4.25 (~v1(constB77)),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2087, 2086])).
% 5.98/4.25 tff(2089,plain,
% 5.98/4.25 (((~v1(constB77)) | (~v102(constB77))) | v1(constB77)),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2090,plain,
% 5.98/4.25 ((~v1(constB77)) | (~v102(constB77))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2089, 2088])).
% 5.98/4.25 tff(2091,plain,
% 5.98/4.25 ((~(v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))) | (~v101(constB77)) | (~((~v1(constB77)) | (~v102(constB77))))),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2092,plain,
% 5.98/4.25 ((~(v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))) | (~v101(constB77))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2091, 2090])).
% 5.98/4.25 tff(2093,plain,
% 5.98/4.25 (~v101(constB77)),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2092, 2085])).
% 5.98/4.25 tff(2094,plain,
% 5.98/4.25 (((~v101(constB77)) | (~v110(constB77))) | v101(constB77)),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2095,plain,
% 5.98/4.25 ((~v101(constB77)) | (~v110(constB77))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2094, 2093])).
% 5.98/4.25 tff(2096,plain,
% 5.98/4.25 ((~(v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77)))))) | (~v100(constB77)) | (~((~v101(constB77)) | (~v110(constB77))))),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2097,plain,
% 5.98/4.25 (~v100(constB77)),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2096, 2095, 2078])).
% 5.98/4.25 tff(2098,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2099,plain,
% 5.98/4.25 ((v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 0)) <=> v90(constB76, 0))))) <=> (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2100,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0))))))),
% 5.98/4.25 inference(monotonicity,[status(thm)],[2099])).
% 5.98/4.25 tff(2101,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))))),
% 5.98/4.25 inference(transitivity,[status(thm)],[2100, 2098])).
% 5.98/4.25 tff(2102,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2103,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0))))),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2102, 2101])).
% 5.98/4.25 tff(2104,plain,
% 5.98/4.25 (v100(constB77) | (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0))))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2103, 2074, 325])).
% 5.98/4.25 tff(2105,plain,
% 5.98/4.25 (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2104, 2097])).
% 5.98/4.25 tff(2106,plain,
% 5.98/4.25 ((((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0))) | (~((~v90(constB77, 2)) <=> v90(constB76, 2)))),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2107,plain,
% 5.98/4.25 (~((~v90(constB77, 2)) <=> v90(constB76, 2))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2106, 2105])).
% 5.98/4.25 tff(2108,plain,
% 5.98/4.25 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2109,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_75')).
% 5.98/4.25 tff(2110,plain,
% 5.98/4.25 (nextState(constB75, constB76)),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2109, 2108])).
% 5.98/4.25 tff(2111,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB75, constB76)) | (~(((~v129(constB76, 2)) <=> v127(constB75, 2)) | ((~v129(constB76, 1)) <=> v127(constB75, 1)) | ((~v129(constB76, 0)) <=> v127(constB75, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB75, constB76)) | (~(((~v129(constB76, 2)) <=> v127(constB75, 2)) | ((~v129(constB76, 1)) <=> v127(constB75, 1)) | ((~v129(constB76, 0)) <=> v127(constB75, 0)))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2112,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB75, constB76)) | (~(((~v129(constB76, 2)) <=> v127(constB75, 2)) | ((~v129(constB76, 1)) <=> v127(constB75, 1)) | ((~v129(constB76, 0)) <=> v127(constB75, 0)))))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2113,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB75, constB76)) | (~(((~v129(constB76, 2)) <=> v127(constB75, 2)) | ((~v129(constB76, 1)) <=> v127(constB75, 1)) | ((~v129(constB76, 0)) <=> v127(constB75, 0))))),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 5.98/4.25 tff(2114,plain,
% 5.98/4.25 (~(((~v129(constB76, 2)) <=> v127(constB75, 2)) | ((~v129(constB76, 1)) <=> v127(constB75, 1)) | ((~v129(constB76, 0)) <=> v127(constB75, 0)))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2113, 2110, 348])).
% 5.98/4.25 tff(2115,plain,
% 5.98/4.25 ((((~v129(constB76, 2)) <=> v127(constB75, 2)) | ((~v129(constB76, 1)) <=> v127(constB75, 1)) | ((~v129(constB76, 0)) <=> v127(constB75, 0))) | (~((~v129(constB76, 2)) <=> v127(constB75, 2)))),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2116,plain,
% 5.98/4.25 (~((~v129(constB76, 2)) <=> v127(constB75, 2))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2115, 2114])).
% 5.98/4.25 tff(2117,plain,
% 5.98/4.25 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB75) <=> v26(constB75))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2118,plain,
% 5.98/4.25 (v111(constB75) <=> v26(constB75)),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2117, 367])).
% 5.98/4.25 tff(2119,plain,
% 5.98/4.25 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB75))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2120,plain,
% 5.98/4.25 (~v26(constB75)),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2119, 379])).
% 5.98/4.25 tff(2121,plain,
% 5.98/4.25 ((~(v111(constB75) <=> v26(constB75))) | (~v111(constB75)) | v26(constB75)),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2122,plain,
% 5.98/4.25 ((~(v111(constB75) <=> v26(constB75))) | (~v111(constB75))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2121, 2120])).
% 5.98/4.25 tff(2123,plain,
% 5.98/4.25 (~v111(constB75)),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2122, 2118])).
% 5.98/4.25 tff(2124,plain,
% 5.98/4.25 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB75) | (~(((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB75) | (~(((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0)))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2125,plain,
% 5.98/4.25 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB75) | (~(((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0)))))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2126,plain,
% 5.98/4.25 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB75) | (~(((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0))))),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2125, 2124])).
% 5.98/4.25 tff(2127,plain,
% 5.98/4.25 (v111(constB75) | (~(((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0))))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2126, 397])).
% 5.98/4.25 tff(2128,plain,
% 5.98/4.25 (~(((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0)))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2127, 2123])).
% 5.98/4.25 tff(2129,plain,
% 5.98/4.25 ((((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0))) | (~((~v127(constB75, 2)) <=> v130(constB75, 2)))),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2130,plain,
% 5.98/4.25 (~((~v127(constB75, 2)) <=> v130(constB75, 2))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2129, 2128])).
% 5.98/4.25 tff(2131,plain,
% 5.98/4.25 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB75) <=> (~(v90(constB75, 1) | v90(constB75, 2) | (~v90(constB75, 0)))))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2132,plain,
% 5.98/4.25 (v120(constB75) <=> (~(v90(constB75, 1) | v90(constB75, 2) | (~v90(constB75, 0))))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2131, 417])).
% 5.98/4.25 tff(2133,plain,
% 5.98/4.25 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2134,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_74')).
% 5.98/4.25 tff(2135,plain,
% 5.98/4.25 (nextState(constB74, constB75)),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2134, 2133])).
% 5.98/4.25 tff(2136,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2137,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2138,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75)))))),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2137, 2136])).
% 5.98/4.25 tff(2139,plain,
% 5.98/4.25 (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2138, 2135, 273])).
% 5.98/4.25 tff(2140,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2141,plain,
% 5.98/4.25 (((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75)))))) <=> ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2142,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))))),
% 5.98/4.25 inference(monotonicity,[status(thm)],[2141])).
% 5.98/4.25 tff(2143,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 5.98/4.25 inference(transitivity,[status(thm)],[2142, 2140])).
% 5.98/4.25 tff(2144,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2145,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2144, 2143])).
% 5.98/4.25 tff(2146,plain,
% 5.98/4.25 (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2145, 2135, 293])).
% 5.98/4.25 tff(2147,plain,
% 5.98/4.25 ((~v1(constB75)) <=> (~v1(constB75))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2148,axiom,(~v1(constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_75')).
% 5.98/4.25 tff(2149,plain,
% 5.98/4.25 (~v1(constB75)),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2148, 2147])).
% 5.98/4.25 tff(2150,plain,
% 5.98/4.25 (((~v1(constB75)) | (~v102(constB75))) | v1(constB75)),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2151,plain,
% 5.98/4.25 ((~v1(constB75)) | (~v102(constB75))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2150, 2149])).
% 5.98/4.25 tff(2152,plain,
% 5.98/4.25 ((~(v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))) | (~v101(constB75)) | (~((~v1(constB75)) | (~v102(constB75))))),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2153,plain,
% 5.98/4.25 ((~(v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))) | (~v101(constB75))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2152, 2151])).
% 5.98/4.25 tff(2154,plain,
% 5.98/4.25 (~v101(constB75)),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2153, 2146])).
% 5.98/4.25 tff(2155,plain,
% 5.98/4.25 (((~v101(constB75)) | (~v110(constB75))) | v101(constB75)),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2156,plain,
% 5.98/4.25 ((~v101(constB75)) | (~v110(constB75))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2155, 2154])).
% 5.98/4.25 tff(2157,plain,
% 5.98/4.25 ((~(v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75)))))) | (~v100(constB75)) | (~((~v101(constB75)) | (~v110(constB75))))),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2158,plain,
% 5.98/4.25 (~v100(constB75)),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2157, 2156, 2139])).
% 5.98/4.25 tff(2159,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2160,plain,
% 5.98/4.25 ((v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 0)) <=> v90(constB74, 0))))) <=> (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2161,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0))))))),
% 5.98/4.25 inference(monotonicity,[status(thm)],[2160])).
% 5.98/4.25 tff(2162,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))))),
% 5.98/4.25 inference(transitivity,[status(thm)],[2161, 2159])).
% 5.98/4.25 tff(2163,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2164,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0))))),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2163, 2162])).
% 5.98/4.25 tff(2165,plain,
% 5.98/4.25 (v100(constB75) | (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0))))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2164, 2135, 325])).
% 5.98/4.25 tff(2166,plain,
% 5.98/4.25 (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2165, 2158])).
% 5.98/4.25 tff(2167,plain,
% 5.98/4.25 ((((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0))) | (~((~v90(constB75, 0)) <=> v90(constB74, 0)))),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2168,plain,
% 5.98/4.25 (~((~v90(constB75, 0)) <=> v90(constB74, 0))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2167, 2166])).
% 5.98/4.25 tff(2169,plain,
% 5.98/4.25 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2170,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_73')).
% 5.98/4.25 tff(2171,plain,
% 5.98/4.25 (nextState(constB73, constB74)),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2170, 2169])).
% 5.98/4.25 tff(2172,plain,
% 5.98/4.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB73, constB74)) | (~(((~v129(constB74, 2)) <=> v127(constB73, 2)) | ((~v129(constB74, 1)) <=> v127(constB73, 1)) | ((~v129(constB74, 0)) <=> v127(constB73, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB73, constB74)) | (~(((~v129(constB74, 2)) <=> v127(constB73, 2)) | ((~v129(constB74, 1)) <=> v127(constB73, 1)) | ((~v129(constB74, 0)) <=> v127(constB73, 0)))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2173,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB73, constB74)) | (~(((~v129(constB74, 2)) <=> v127(constB73, 2)) | ((~v129(constB74, 1)) <=> v127(constB73, 1)) | ((~v129(constB74, 0)) <=> v127(constB73, 0)))))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2174,plain,
% 5.98/4.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB73, constB74)) | (~(((~v129(constB74, 2)) <=> v127(constB73, 2)) | ((~v129(constB74, 1)) <=> v127(constB73, 1)) | ((~v129(constB74, 0)) <=> v127(constB73, 0))))),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2173, 2172])).
% 5.98/4.25 tff(2175,plain,
% 5.98/4.25 (~(((~v129(constB74, 2)) <=> v127(constB73, 2)) | ((~v129(constB74, 1)) <=> v127(constB73, 1)) | ((~v129(constB74, 0)) <=> v127(constB73, 0)))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2174, 2171, 348])).
% 5.98/4.25 tff(2176,plain,
% 5.98/4.25 ((((~v129(constB74, 2)) <=> v127(constB73, 2)) | ((~v129(constB74, 1)) <=> v127(constB73, 1)) | ((~v129(constB74, 0)) <=> v127(constB73, 0))) | (~((~v129(constB74, 0)) <=> v127(constB73, 0)))),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2177,plain,
% 5.98/4.25 (~((~v129(constB74, 0)) <=> v127(constB73, 0))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2176, 2175])).
% 5.98/4.25 tff(2178,plain,
% 5.98/4.25 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB73) <=> v26(constB73))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2179,plain,
% 5.98/4.25 (v111(constB73) <=> v26(constB73)),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2178, 367])).
% 5.98/4.25 tff(2180,plain,
% 5.98/4.25 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB73))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2181,plain,
% 5.98/4.25 (~v26(constB73)),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2180, 379])).
% 5.98/4.25 tff(2182,plain,
% 5.98/4.25 ((~(v111(constB73) <=> v26(constB73))) | (~v111(constB73)) | v26(constB73)),
% 5.98/4.25 inference(tautology,[status(thm)],[])).
% 5.98/4.25 tff(2183,plain,
% 5.98/4.25 ((~(v111(constB73) <=> v26(constB73))) | (~v111(constB73))),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2182, 2181])).
% 5.98/4.25 tff(2184,plain,
% 5.98/4.25 (~v111(constB73)),
% 5.98/4.25 inference(unit_resolution,[status(thm)],[2183, 2179])).
% 5.98/4.25 tff(2185,plain,
% 5.98/4.25 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB73) | (~(((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB73) | (~(((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0)))))),
% 5.98/4.25 inference(rewrite,[status(thm)],[])).
% 5.98/4.25 tff(2186,plain,
% 5.98/4.25 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB73) | (~(((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0)))))),
% 5.98/4.25 inference(quant_inst,[status(thm)],[])).
% 5.98/4.25 tff(2187,plain,
% 5.98/4.25 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB73) | (~(((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0))))),
% 5.98/4.25 inference(modus_ponens,[status(thm)],[2186, 2185])).
% 5.98/4.25 tff(2188,plain,
% 5.98/4.25 (v111(constB73) | (~(((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0))))),
% 5.98/4.26 inference(unit_resolution,[status(thm)],[2187, 397])).
% 5.98/4.26 tff(2189,plain,
% 5.98/4.26 (~(((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0)))),
% 5.98/4.26 inference(unit_resolution,[status(thm)],[2188, 2184])).
% 5.98/4.26 tff(2190,plain,
% 5.98/4.26 ((((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0))) | (~((~v127(constB73, 0)) <=> v130(constB73, 0)))),
% 5.98/4.26 inference(tautology,[status(thm)],[])).
% 5.98/4.26 tff(2191,plain,
% 5.98/4.26 (~((~v127(constB73, 0)) <=> v130(constB73, 0))),
% 5.98/4.26 inference(unit_resolution,[status(thm)],[2190, 2189])).
% 5.98/4.26 tff(2192,plain,
% 5.98/4.26 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB73) <=> (~(v90(constB73, 1) | v90(constB73, 0) | (~v90(constB73, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB73) <=> (~(v90(constB73, 1) | v90(constB73, 0) | (~v90(constB73, 2))))))),
% 5.98/4.26 inference(rewrite,[status(thm)],[])).
% 5.98/4.26 tff(2193,plain,
% 5.98/4.26 ((v123(constB73) <=> (~(v90(constB73, 0) | v90(constB73, 1) | (~v90(constB73, 2))))) <=> (v123(constB73) <=> (~(v90(constB73, 1) | v90(constB73, 0) | (~v90(constB73, 2)))))),
% 5.98/4.26 inference(rewrite,[status(thm)],[])).
% 5.98/4.26 tff(2194,plain,
% 5.98/4.26 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB73) <=> (~(v90(constB73, 0) | v90(constB73, 1) | (~v90(constB73, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB73) <=> (~(v90(constB73, 1) | v90(constB73, 0) | (~v90(constB73, 2))))))),
% 5.98/4.26 inference(monotonicity,[status(thm)],[2193])).
% 5.98/4.26 tff(2195,plain,
% 5.98/4.26 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB73) <=> (~(v90(constB73, 0) | v90(constB73, 1) | (~v90(constB73, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB73) <=> (~(v90(constB73, 1) | v90(constB73, 0) | (~v90(constB73, 2))))))),
% 5.98/4.26 inference(transitivity,[status(thm)],[2194, 2192])).
% 5.98/4.26 tff(2196,plain,
% 5.98/4.26 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB73) <=> (~(v90(constB73, 0) | v90(constB73, 1) | (~v90(constB73, 2)))))),
% 5.98/4.26 inference(quant_inst,[status(thm)],[])).
% 5.98/4.26 tff(2197,plain,
% 5.98/4.26 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB73) <=> (~(v90(constB73, 1) | v90(constB73, 0) | (~v90(constB73, 2)))))),
% 5.98/4.26 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 5.98/4.26 tff(2198,plain,
% 5.98/4.26 (v123(constB73) <=> (~(v90(constB73, 1) | v90(constB73, 0) | (~v90(constB73, 2))))),
% 5.98/4.26 inference(unit_resolution,[status(thm)],[2197, 565])).
% 5.98/4.26 tff(2199,plain,
% 5.98/4.26 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 5.98/4.26 inference(rewrite,[status(thm)],[])).
% 5.98/4.26 tff(2200,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_72')).
% 5.98/4.26 tff(2201,plain,
% 5.98/4.26 (nextState(constB72, constB73)),
% 5.98/4.26 inference(modus_ponens,[status(thm)],[2200, 2199])).
% 5.98/4.26 tff(2202,plain,
% 5.98/4.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))),
% 5.98/4.26 inference(rewrite,[status(thm)],[])).
% 5.98/4.26 tff(2203,plain,
% 5.98/4.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))),
% 5.98/4.26 inference(quant_inst,[status(thm)],[])).
% 5.98/4.26 tff(2204,plain,
% 5.98/4.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73)))))),
% 5.98/4.26 inference(modus_ponens,[status(thm)],[2203, 2202])).
% 5.98/4.26 tff(2205,plain,
% 5.98/4.26 (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))),
% 5.98/4.26 inference(unit_resolution,[status(thm)],[2204, 2201, 273])).
% 5.98/4.26 tff(2206,plain,
% 5.98/4.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 5.98/4.26 inference(rewrite,[status(thm)],[])).
% 5.98/4.26 tff(2207,plain,
% 5.98/4.26 (((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73)))))) <=> ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 5.98/4.26 inference(rewrite,[status(thm)],[])).
% 5.98/4.26 tff(2208,plain,
% 5.98/4.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))))),
% 5.98/4.26 inference(monotonicity,[status(thm)],[2207])).
% 5.98/4.26 tff(2209,plain,
% 5.98/4.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 5.98/4.26 inference(transitivity,[status(thm)],[2208, 2206])).
% 5.98/4.26 tff(2210,plain,
% 5.98/4.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))),
% 5.98/4.26 inference(quant_inst,[status(thm)],[])).
% 5.98/4.26 tff(2211,plain,
% 5.98/4.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))),
% 5.98/4.26 inference(modus_ponens,[status(thm)],[2210, 2209])).
% 5.98/4.26 tff(2212,plain,
% 5.98/4.26 (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))),
% 5.98/4.26 inference(unit_resolution,[status(thm)],[2211, 2201, 293])).
% 5.98/4.26 tff(2213,plain,
% 5.98/4.26 ((~v1(constB73)) <=> (~v1(constB73))),
% 5.98/4.26 inference(rewrite,[status(thm)],[])).
% 5.98/4.26 tff(2214,axiom,(~v1(constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_73')).
% 5.98/4.26 tff(2215,plain,
% 5.98/4.26 (~v1(constB73)),
% 5.98/4.26 inference(modus_ponens,[status(thm)],[2214, 2213])).
% 5.98/4.26 tff(2216,plain,
% 5.98/4.26 (((~v1(constB73)) | (~v102(constB73))) | v1(constB73)),
% 5.98/4.26 inference(tautology,[status(thm)],[])).
% 5.98/4.26 tff(2217,plain,
% 5.98/4.26 ((~v1(constB73)) | (~v102(constB73))),
% 5.98/4.26 inference(unit_resolution,[status(thm)],[2216, 2215])).
% 5.98/4.26 tff(2218,plain,
% 5.98/4.26 ((~(v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))) | (~v101(constB73)) | (~((~v1(constB73)) | (~v102(constB73))))),
% 5.98/4.26 inference(tautology,[status(thm)],[])).
% 5.98/4.26 tff(2219,plain,
% 5.98/4.26 ((~(v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))) | (~v101(constB73))),
% 5.98/4.26 inference(unit_resolution,[status(thm)],[2218, 2217])).
% 5.98/4.26 tff(2220,plain,
% 5.98/4.26 (~v101(constB73)),
% 5.98/4.26 inference(unit_resolution,[status(thm)],[2219, 2212])).
% 5.98/4.26 tff(2221,plain,
% 5.98/4.26 (((~v101(constB73)) | (~v110(constB73))) | v101(constB73)),
% 5.98/4.26 inference(tautology,[status(thm)],[])).
% 5.98/4.26 tff(2222,plain,
% 5.98/4.26 ((~v101(constB73)) | (~v110(constB73))),
% 5.98/4.26 inference(unit_resolution,[status(thm)],[2221, 2220])).
% 5.98/4.26 tff(2223,plain,
% 5.98/4.26 ((~(v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73)))))) | (~v100(constB73)) | (~((~v101(constB73)) | (~v110(constB73))))),
% 5.98/4.26 inference(tautology,[status(thm)],[])).
% 5.98/4.26 tff(2224,plain,
% 5.98/4.26 (~v100(constB73)),
% 5.98/4.26 inference(unit_resolution,[status(thm)],[2223, 2222, 2205])).
% 5.98/4.26 tff(2225,plain,
% 5.98/4.26 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))))),
% 5.98/4.26 inference(rewrite,[status(thm)],[])).
% 5.98/4.26 tff(2226,plain,
% 5.98/4.26 ((v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 0)) <=> v90(constB72, 0))))) <=> (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))))),
% 5.98/4.26 inference(rewrite,[status(thm)],[])).
% 5.98/4.26 tff(2227,plain,
% 5.98/4.26 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0))))))),
% 5.98/4.26 inference(monotonicity,[status(thm)],[2226])).
% 5.98/4.26 tff(2228,plain,
% 5.98/4.26 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))))),
% 5.98/4.26 inference(transitivity,[status(thm)],[2227, 2225])).
% 5.98/4.26 tff(2229,plain,
% 5.98/4.26 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))))),
% 5.98/4.26 inference(quant_inst,[status(thm)],[])).
% 5.98/4.26 tff(2230,plain,
% 5.98/4.26 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0))))),
% 5.98/4.26 inference(modus_ponens,[status(thm)],[2229, 2228])).
% 5.98/4.26 tff(2231,plain,
% 5.98/4.26 (v100(constB73) | (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0))))),
% 5.98/4.26 inference(unit_resolution,[status(thm)],[2230, 2201, 325])).
% 5.98/4.26 tff(2232,plain,
% 5.98/4.26 (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))),
% 5.98/4.26 inference(unit_resolution,[status(thm)],[2231, 2224])).
% 5.98/4.26 tff(2233,plain,
% 5.98/4.26 ((((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0))) | (~((~v90(constB73, 2)) <=> v90(constB72, 2)))),
% 5.98/4.26 inference(tautology,[status(thm)],[])).
% 5.98/4.26 tff(2234,plain,
% 5.98/4.26 (~((~v90(constB73, 2)) <=> v90(constB72, 2))),
% 5.98/4.26 inference(unit_resolution,[status(thm)],[2233, 2232])).
% 5.98/4.26 tff(2235,plain,
% 5.98/4.26 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 5.98/4.26 inference(rewrite,[status(thm)],[])).
% 5.98/4.26 tff(2236,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_71')).
% 5.98/4.26 tff(2237,plain,
% 5.98/4.26 (nextState(constB71, constB72)),
% 5.98/4.26 inference(modus_ponens,[status(thm)],[2236, 2235])).
% 5.98/4.26 tff(2238,plain,
% 5.98/4.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB71, constB72)) | (~(((~v129(constB72, 2)) <=> v127(constB71, 2)) | ((~v129(constB72, 1)) <=> v127(constB71, 1)) | ((~v129(constB72, 0)) <=> v127(constB71, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB71, constB72)) | (~(((~v129(constB72, 2)) <=> v127(constB71, 2)) | ((~v129(constB72, 1)) <=> v127(constB71, 1)) | ((~v129(constB72, 0)) <=> v127(constB71, 0)))))),
% 5.98/4.26 inference(rewrite,[status(thm)],[])).
% 5.98/4.26 tff(2239,plain,
% 5.98/4.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB71, constB72)) | (~(((~v129(constB72, 2)) <=> v127(constB71, 2)) | ((~v129(constB72, 1)) <=> v127(constB71, 1)) | ((~v129(constB72, 0)) <=> v127(constB71, 0)))))),
% 5.98/4.26 inference(quant_inst,[status(thm)],[])).
% 5.98/4.26 tff(2240,plain,
% 5.98/4.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB71, constB72)) | (~(((~v129(constB72, 2)) <=> v127(constB71, 2)) | ((~v129(constB72, 1)) <=> v127(constB71, 1)) | ((~v129(constB72, 0)) <=> v127(constB71, 0))))),
% 5.98/4.26 inference(modus_ponens,[status(thm)],[2239, 2238])).
% 6.07/4.26 tff(2241,plain,
% 6.07/4.26 (~(((~v129(constB72, 2)) <=> v127(constB71, 2)) | ((~v129(constB72, 1)) <=> v127(constB71, 1)) | ((~v129(constB72, 0)) <=> v127(constB71, 0)))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2240, 2237, 348])).
% 6.07/4.26 tff(2242,plain,
% 6.07/4.26 ((((~v129(constB72, 2)) <=> v127(constB71, 2)) | ((~v129(constB72, 1)) <=> v127(constB71, 1)) | ((~v129(constB72, 0)) <=> v127(constB71, 0))) | (~((~v129(constB72, 2)) <=> v127(constB71, 2)))),
% 6.07/4.26 inference(tautology,[status(thm)],[])).
% 6.07/4.26 tff(2243,plain,
% 6.07/4.26 (~((~v129(constB72, 2)) <=> v127(constB71, 2))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2242, 2241])).
% 6.07/4.26 tff(2244,plain,
% 6.07/4.26 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB71) <=> v26(constB71))),
% 6.07/4.26 inference(quant_inst,[status(thm)],[])).
% 6.07/4.26 tff(2245,plain,
% 6.07/4.26 (v111(constB71) <=> v26(constB71)),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2244, 367])).
% 6.07/4.26 tff(2246,plain,
% 6.07/4.26 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB71))),
% 6.07/4.26 inference(quant_inst,[status(thm)],[])).
% 6.07/4.26 tff(2247,plain,
% 6.07/4.26 (~v26(constB71)),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2246, 379])).
% 6.07/4.26 tff(2248,plain,
% 6.07/4.26 ((~(v111(constB71) <=> v26(constB71))) | (~v111(constB71)) | v26(constB71)),
% 6.07/4.26 inference(tautology,[status(thm)],[])).
% 6.07/4.26 tff(2249,plain,
% 6.07/4.26 ((~(v111(constB71) <=> v26(constB71))) | (~v111(constB71))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2248, 2247])).
% 6.07/4.26 tff(2250,plain,
% 6.07/4.26 (~v111(constB71)),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2249, 2245])).
% 6.07/4.26 tff(2251,plain,
% 6.07/4.26 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB71) | (~(((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB71) | (~(((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0)))))),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2252,plain,
% 6.07/4.26 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB71) | (~(((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0)))))),
% 6.07/4.26 inference(quant_inst,[status(thm)],[])).
% 6.07/4.26 tff(2253,plain,
% 6.07/4.26 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB71) | (~(((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0))))),
% 6.07/4.26 inference(modus_ponens,[status(thm)],[2252, 2251])).
% 6.07/4.26 tff(2254,plain,
% 6.07/4.26 (v111(constB71) | (~(((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0))))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2253, 397])).
% 6.07/4.26 tff(2255,plain,
% 6.07/4.26 (~(((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0)))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2254, 2250])).
% 6.07/4.26 tff(2256,plain,
% 6.07/4.26 ((((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0))) | (~((~v127(constB71, 2)) <=> v130(constB71, 2)))),
% 6.07/4.26 inference(tautology,[status(thm)],[])).
% 6.07/4.26 tff(2257,plain,
% 6.07/4.26 (~((~v127(constB71, 2)) <=> v130(constB71, 2))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2256, 2255])).
% 6.07/4.26 tff(2258,plain,
% 6.07/4.26 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB71) <=> (~(v90(constB71, 2) | (~v90(constB71, 1)) | (~v90(constB71, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB71) <=> (~(v90(constB71, 2) | (~v90(constB71, 1)) | (~v90(constB71, 0))))))),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2259,plain,
% 6.07/4.26 ((v122(constB71) <=> (~(v90(constB71, 2) | (~v90(constB71, 0)) | (~v90(constB71, 1))))) <=> (v122(constB71) <=> (~(v90(constB71, 2) | (~v90(constB71, 1)) | (~v90(constB71, 0)))))),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2260,plain,
% 6.07/4.26 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB71) <=> (~(v90(constB71, 2) | (~v90(constB71, 0)) | (~v90(constB71, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB71) <=> (~(v90(constB71, 2) | (~v90(constB71, 1)) | (~v90(constB71, 0))))))),
% 6.07/4.26 inference(monotonicity,[status(thm)],[2259])).
% 6.07/4.26 tff(2261,plain,
% 6.07/4.26 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB71) <=> (~(v90(constB71, 2) | (~v90(constB71, 0)) | (~v90(constB71, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB71) <=> (~(v90(constB71, 2) | (~v90(constB71, 1)) | (~v90(constB71, 0))))))),
% 6.07/4.26 inference(transitivity,[status(thm)],[2260, 2258])).
% 6.07/4.26 tff(2262,plain,
% 6.07/4.26 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB71) <=> (~(v90(constB71, 2) | (~v90(constB71, 0)) | (~v90(constB71, 1)))))),
% 6.07/4.26 inference(quant_inst,[status(thm)],[])).
% 6.07/4.26 tff(2263,plain,
% 6.07/4.26 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB71) <=> (~(v90(constB71, 2) | (~v90(constB71, 1)) | (~v90(constB71, 0)))))),
% 6.07/4.26 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 6.07/4.26 tff(2264,plain,
% 6.07/4.26 (v122(constB71) <=> (~(v90(constB71, 2) | (~v90(constB71, 1)) | (~v90(constB71, 0))))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2263, 644])).
% 6.07/4.26 tff(2265,plain,
% 6.07/4.26 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2266,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_70')).
% 6.07/4.26 tff(2267,plain,
% 6.07/4.26 (nextState(constB70, constB71)),
% 6.07/4.26 inference(modus_ponens,[status(thm)],[2266, 2265])).
% 6.07/4.26 tff(2268,plain,
% 6.07/4.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2269,plain,
% 6.07/4.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))),
% 6.07/4.26 inference(quant_inst,[status(thm)],[])).
% 6.07/4.26 tff(2270,plain,
% 6.07/4.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71)))))),
% 6.07/4.26 inference(modus_ponens,[status(thm)],[2269, 2268])).
% 6.07/4.26 tff(2271,plain,
% 6.07/4.26 (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2270, 2267, 273])).
% 6.07/4.26 tff(2272,plain,
% 6.07/4.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2273,plain,
% 6.07/4.26 (((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71)))))) <=> ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2274,plain,
% 6.07/4.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))))),
% 6.07/4.26 inference(monotonicity,[status(thm)],[2273])).
% 6.07/4.26 tff(2275,plain,
% 6.07/4.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 6.07/4.26 inference(transitivity,[status(thm)],[2274, 2272])).
% 6.07/4.26 tff(2276,plain,
% 6.07/4.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))),
% 6.07/4.26 inference(quant_inst,[status(thm)],[])).
% 6.07/4.26 tff(2277,plain,
% 6.07/4.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))),
% 6.07/4.26 inference(modus_ponens,[status(thm)],[2276, 2275])).
% 6.07/4.26 tff(2278,plain,
% 6.07/4.26 (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2277, 2267, 293])).
% 6.07/4.26 tff(2279,plain,
% 6.07/4.26 ((~v1(constB71)) <=> (~v1(constB71))),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2280,axiom,(~v1(constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_71')).
% 6.07/4.26 tff(2281,plain,
% 6.07/4.26 (~v1(constB71)),
% 6.07/4.26 inference(modus_ponens,[status(thm)],[2280, 2279])).
% 6.07/4.26 tff(2282,plain,
% 6.07/4.26 (((~v1(constB71)) | (~v102(constB71))) | v1(constB71)),
% 6.07/4.26 inference(tautology,[status(thm)],[])).
% 6.07/4.26 tff(2283,plain,
% 6.07/4.26 ((~v1(constB71)) | (~v102(constB71))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2282, 2281])).
% 6.07/4.26 tff(2284,plain,
% 6.07/4.26 ((~(v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))) | (~v101(constB71)) | (~((~v1(constB71)) | (~v102(constB71))))),
% 6.07/4.26 inference(tautology,[status(thm)],[])).
% 6.07/4.26 tff(2285,plain,
% 6.07/4.26 ((~(v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))) | (~v101(constB71))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2284, 2283])).
% 6.07/4.26 tff(2286,plain,
% 6.07/4.26 (~v101(constB71)),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2285, 2278])).
% 6.07/4.26 tff(2287,plain,
% 6.07/4.26 (((~v101(constB71)) | (~v110(constB71))) | v101(constB71)),
% 6.07/4.26 inference(tautology,[status(thm)],[])).
% 6.07/4.26 tff(2288,plain,
% 6.07/4.26 ((~v101(constB71)) | (~v110(constB71))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2287, 2286])).
% 6.07/4.26 tff(2289,plain,
% 6.07/4.26 ((~(v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71)))))) | (~v100(constB71)) | (~((~v101(constB71)) | (~v110(constB71))))),
% 6.07/4.26 inference(tautology,[status(thm)],[])).
% 6.07/4.26 tff(2290,plain,
% 6.07/4.26 (~v100(constB71)),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2289, 2288, 2271])).
% 6.07/4.26 tff(2291,plain,
% 6.07/4.26 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))))),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2292,plain,
% 6.07/4.26 ((v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 0)) <=> v90(constB70, 0))))) <=> (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))))),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2293,plain,
% 6.07/4.26 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0))))))),
% 6.07/4.26 inference(monotonicity,[status(thm)],[2292])).
% 6.07/4.26 tff(2294,plain,
% 6.07/4.26 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))))),
% 6.07/4.26 inference(transitivity,[status(thm)],[2293, 2291])).
% 6.07/4.26 tff(2295,plain,
% 6.07/4.26 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))))),
% 6.07/4.26 inference(quant_inst,[status(thm)],[])).
% 6.07/4.26 tff(2296,plain,
% 6.07/4.26 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0))))),
% 6.07/4.26 inference(modus_ponens,[status(thm)],[2295, 2294])).
% 6.07/4.26 tff(2297,plain,
% 6.07/4.26 (v100(constB71) | (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0))))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2296, 2267, 325])).
% 6.07/4.26 tff(2298,plain,
% 6.07/4.26 (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2297, 2290])).
% 6.07/4.26 tff(2299,plain,
% 6.07/4.26 ((((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0))) | (~((~v90(constB71, 2)) <=> v90(constB70, 2)))),
% 6.07/4.26 inference(tautology,[status(thm)],[])).
% 6.07/4.26 tff(2300,plain,
% 6.07/4.26 (~((~v90(constB71, 2)) <=> v90(constB70, 2))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2299, 2298])).
% 6.07/4.26 tff(2301,plain,
% 6.07/4.26 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2302,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_69')).
% 6.07/4.26 tff(2303,plain,
% 6.07/4.26 (nextState(constB69, constB70)),
% 6.07/4.26 inference(modus_ponens,[status(thm)],[2302, 2301])).
% 6.07/4.26 tff(2304,plain,
% 6.07/4.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB69, constB70)) | (~(((~v129(constB70, 2)) <=> v127(constB69, 2)) | ((~v129(constB70, 1)) <=> v127(constB69, 1)) | ((~v129(constB70, 0)) <=> v127(constB69, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB69, constB70)) | (~(((~v129(constB70, 2)) <=> v127(constB69, 2)) | ((~v129(constB70, 1)) <=> v127(constB69, 1)) | ((~v129(constB70, 0)) <=> v127(constB69, 0)))))),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2305,plain,
% 6.07/4.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB69, constB70)) | (~(((~v129(constB70, 2)) <=> v127(constB69, 2)) | ((~v129(constB70, 1)) <=> v127(constB69, 1)) | ((~v129(constB70, 0)) <=> v127(constB69, 0)))))),
% 6.07/4.26 inference(quant_inst,[status(thm)],[])).
% 6.07/4.26 tff(2306,plain,
% 6.07/4.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB69, constB70)) | (~(((~v129(constB70, 2)) <=> v127(constB69, 2)) | ((~v129(constB70, 1)) <=> v127(constB69, 1)) | ((~v129(constB70, 0)) <=> v127(constB69, 0))))),
% 6.07/4.26 inference(modus_ponens,[status(thm)],[2305, 2304])).
% 6.07/4.26 tff(2307,plain,
% 6.07/4.26 (~(((~v129(constB70, 2)) <=> v127(constB69, 2)) | ((~v129(constB70, 1)) <=> v127(constB69, 1)) | ((~v129(constB70, 0)) <=> v127(constB69, 0)))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2306, 2303, 348])).
% 6.07/4.26 tff(2308,plain,
% 6.07/4.26 ((((~v129(constB70, 2)) <=> v127(constB69, 2)) | ((~v129(constB70, 1)) <=> v127(constB69, 1)) | ((~v129(constB70, 0)) <=> v127(constB69, 0))) | (~((~v129(constB70, 2)) <=> v127(constB69, 2)))),
% 6.07/4.26 inference(tautology,[status(thm)],[])).
% 6.07/4.26 tff(2309,plain,
% 6.07/4.26 (~((~v129(constB70, 2)) <=> v127(constB69, 2))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2308, 2307])).
% 6.07/4.26 tff(2310,plain,
% 6.07/4.26 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB69) <=> v26(constB69))),
% 6.07/4.26 inference(quant_inst,[status(thm)],[])).
% 6.07/4.26 tff(2311,plain,
% 6.07/4.26 (v111(constB69) <=> v26(constB69)),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2310, 367])).
% 6.07/4.26 tff(2312,plain,
% 6.07/4.26 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB69))),
% 6.07/4.26 inference(quant_inst,[status(thm)],[])).
% 6.07/4.26 tff(2313,plain,
% 6.07/4.26 (~v26(constB69)),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2312, 379])).
% 6.07/4.26 tff(2314,plain,
% 6.07/4.26 ((~(v111(constB69) <=> v26(constB69))) | (~v111(constB69)) | v26(constB69)),
% 6.07/4.26 inference(tautology,[status(thm)],[])).
% 6.07/4.26 tff(2315,plain,
% 6.07/4.26 ((~(v111(constB69) <=> v26(constB69))) | (~v111(constB69))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2314, 2313])).
% 6.07/4.26 tff(2316,plain,
% 6.07/4.26 (~v111(constB69)),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2315, 2311])).
% 6.07/4.26 tff(2317,plain,
% 6.07/4.26 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB69) | (~(((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB69) | (~(((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0)))))),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2318,plain,
% 6.07/4.26 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB69) | (~(((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0)))))),
% 6.07/4.26 inference(quant_inst,[status(thm)],[])).
% 6.07/4.26 tff(2319,plain,
% 6.07/4.26 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB69) | (~(((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0))))),
% 6.07/4.26 inference(modus_ponens,[status(thm)],[2318, 2317])).
% 6.07/4.26 tff(2320,plain,
% 6.07/4.26 (v111(constB69) | (~(((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0))))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2319, 397])).
% 6.07/4.26 tff(2321,plain,
% 6.07/4.26 (~(((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0)))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2320, 2316])).
% 6.07/4.26 tff(2322,plain,
% 6.07/4.26 ((((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0))) | (~((~v127(constB69, 2)) <=> v130(constB69, 2)))),
% 6.07/4.26 inference(tautology,[status(thm)],[])).
% 6.07/4.26 tff(2323,plain,
% 6.07/4.26 (~((~v127(constB69, 2)) <=> v130(constB69, 2))),
% 6.07/4.26 inference(unit_resolution,[status(thm)],[2322, 2321])).
% 6.07/4.26 tff(2324,plain,
% 6.07/4.26 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB69) <=> (~(v90(constB69, 2) | v90(constB69, 0) | (~v90(constB69, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB69) <=> (~(v90(constB69, 2) | v90(constB69, 0) | (~v90(constB69, 1))))))),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2325,plain,
% 6.07/4.26 ((v121(constB69) <=> (~(v90(constB69, 0) | v90(constB69, 2) | (~v90(constB69, 1))))) <=> (v121(constB69) <=> (~(v90(constB69, 2) | v90(constB69, 0) | (~v90(constB69, 1)))))),
% 6.07/4.26 inference(rewrite,[status(thm)],[])).
% 6.07/4.26 tff(2326,plain,
% 6.07/4.26 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB69) <=> (~(v90(constB69, 0) | v90(constB69, 2) | (~v90(constB69, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB69) <=> (~(v90(constB69, 2) | v90(constB69, 0) | (~v90(constB69, 1))))))),
% 6.07/4.27 inference(monotonicity,[status(thm)],[2325])).
% 6.07/4.27 tff(2327,plain,
% 6.07/4.27 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB69) <=> (~(v90(constB69, 0) | v90(constB69, 2) | (~v90(constB69, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB69) <=> (~(v90(constB69, 2) | v90(constB69, 0) | (~v90(constB69, 1))))))),
% 6.07/4.27 inference(transitivity,[status(thm)],[2326, 2324])).
% 6.07/4.27 tff(2328,plain,
% 6.07/4.27 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB69) <=> (~(v90(constB69, 0) | v90(constB69, 2) | (~v90(constB69, 1)))))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2329,plain,
% 6.07/4.27 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB69) <=> (~(v90(constB69, 2) | v90(constB69, 0) | (~v90(constB69, 1)))))),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2328, 2327])).
% 6.07/4.27 tff(2330,plain,
% 6.07/4.27 (v121(constB69) <=> (~(v90(constB69, 2) | v90(constB69, 0) | (~v90(constB69, 1))))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2329, 723])).
% 6.07/4.27 tff(2331,plain,
% 6.07/4.27 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2332,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_68')).
% 6.07/4.27 tff(2333,plain,
% 6.07/4.27 (nextState(constB68, constB69)),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2332, 2331])).
% 6.07/4.27 tff(2334,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2335,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2336,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69)))))),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2335, 2334])).
% 6.07/4.27 tff(2337,plain,
% 6.07/4.27 (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2336, 2333, 273])).
% 6.07/4.27 tff(2338,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2339,plain,
% 6.07/4.27 (((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69)))))) <=> ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2340,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))))),
% 6.07/4.27 inference(monotonicity,[status(thm)],[2339])).
% 6.07/4.27 tff(2341,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 6.07/4.27 inference(transitivity,[status(thm)],[2340, 2338])).
% 6.07/4.27 tff(2342,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2343,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2342, 2341])).
% 6.07/4.27 tff(2344,plain,
% 6.07/4.27 (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2343, 2333, 293])).
% 6.07/4.27 tff(2345,plain,
% 6.07/4.27 ((~v1(constB69)) <=> (~v1(constB69))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2346,axiom,(~v1(constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_69')).
% 6.07/4.27 tff(2347,plain,
% 6.07/4.27 (~v1(constB69)),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2346, 2345])).
% 6.07/4.27 tff(2348,plain,
% 6.07/4.27 (((~v1(constB69)) | (~v102(constB69))) | v1(constB69)),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2349,plain,
% 6.07/4.27 ((~v1(constB69)) | (~v102(constB69))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2348, 2347])).
% 6.07/4.27 tff(2350,plain,
% 6.07/4.27 ((~(v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))) | (~v101(constB69)) | (~((~v1(constB69)) | (~v102(constB69))))),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2351,plain,
% 6.07/4.27 ((~(v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))) | (~v101(constB69))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2350, 2349])).
% 6.07/4.27 tff(2352,plain,
% 6.07/4.27 (~v101(constB69)),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2351, 2344])).
% 6.07/4.27 tff(2353,plain,
% 6.07/4.27 (((~v101(constB69)) | (~v110(constB69))) | v101(constB69)),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2354,plain,
% 6.07/4.27 ((~v101(constB69)) | (~v110(constB69))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2353, 2352])).
% 6.07/4.27 tff(2355,plain,
% 6.07/4.27 ((~(v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69)))))) | (~v100(constB69)) | (~((~v101(constB69)) | (~v110(constB69))))),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2356,plain,
% 6.07/4.27 (~v100(constB69)),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2355, 2354, 2337])).
% 6.07/4.27 tff(2357,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2358,plain,
% 6.07/4.27 ((v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 0)) <=> v90(constB68, 0))))) <=> (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2359,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0))))))),
% 6.07/4.27 inference(monotonicity,[status(thm)],[2358])).
% 6.07/4.27 tff(2360,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))))),
% 6.07/4.27 inference(transitivity,[status(thm)],[2359, 2357])).
% 6.07/4.27 tff(2361,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2362,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0))))),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2361, 2360])).
% 6.07/4.27 tff(2363,plain,
% 6.07/4.27 (v100(constB69) | (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0))))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2362, 2333, 325])).
% 6.07/4.27 tff(2364,plain,
% 6.07/4.27 (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2363, 2356])).
% 6.07/4.27 tff(2365,plain,
% 6.07/4.27 ((((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0))) | (~((~v90(constB69, 2)) <=> v90(constB68, 2)))),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2366,plain,
% 6.07/4.27 (~((~v90(constB69, 2)) <=> v90(constB68, 2))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2365, 2364])).
% 6.07/4.27 tff(2367,plain,
% 6.07/4.27 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2368,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_67')).
% 6.07/4.27 tff(2369,plain,
% 6.07/4.27 (nextState(constB67, constB68)),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2368, 2367])).
% 6.07/4.27 tff(2370,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB67, constB68)) | (~(((~v129(constB68, 2)) <=> v127(constB67, 2)) | ((~v129(constB68, 1)) <=> v127(constB67, 1)) | ((~v129(constB68, 0)) <=> v127(constB67, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB67, constB68)) | (~(((~v129(constB68, 2)) <=> v127(constB67, 2)) | ((~v129(constB68, 1)) <=> v127(constB67, 1)) | ((~v129(constB68, 0)) <=> v127(constB67, 0)))))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2371,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB67, constB68)) | (~(((~v129(constB68, 2)) <=> v127(constB67, 2)) | ((~v129(constB68, 1)) <=> v127(constB67, 1)) | ((~v129(constB68, 0)) <=> v127(constB67, 0)))))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2372,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB67, constB68)) | (~(((~v129(constB68, 2)) <=> v127(constB67, 2)) | ((~v129(constB68, 1)) <=> v127(constB67, 1)) | ((~v129(constB68, 0)) <=> v127(constB67, 0))))),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2371, 2370])).
% 6.07/4.27 tff(2373,plain,
% 6.07/4.27 (~(((~v129(constB68, 2)) <=> v127(constB67, 2)) | ((~v129(constB68, 1)) <=> v127(constB67, 1)) | ((~v129(constB68, 0)) <=> v127(constB67, 0)))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2372, 2369, 348])).
% 6.07/4.27 tff(2374,plain,
% 6.07/4.27 ((((~v129(constB68, 2)) <=> v127(constB67, 2)) | ((~v129(constB68, 1)) <=> v127(constB67, 1)) | ((~v129(constB68, 0)) <=> v127(constB67, 0))) | (~((~v129(constB68, 2)) <=> v127(constB67, 2)))),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2375,plain,
% 6.07/4.27 (~((~v129(constB68, 2)) <=> v127(constB67, 2))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2374, 2373])).
% 6.07/4.27 tff(2376,plain,
% 6.07/4.27 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB67) <=> v26(constB67))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2377,plain,
% 6.07/4.27 (v111(constB67) <=> v26(constB67)),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2376, 367])).
% 6.07/4.27 tff(2378,plain,
% 6.07/4.27 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB67))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2379,plain,
% 6.07/4.27 (~v26(constB67)),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2378, 379])).
% 6.07/4.27 tff(2380,plain,
% 6.07/4.27 ((~(v111(constB67) <=> v26(constB67))) | (~v111(constB67)) | v26(constB67)),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2381,plain,
% 6.07/4.27 ((~(v111(constB67) <=> v26(constB67))) | (~v111(constB67))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2380, 2379])).
% 6.07/4.27 tff(2382,plain,
% 6.07/4.27 (~v111(constB67)),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2381, 2377])).
% 6.07/4.27 tff(2383,plain,
% 6.07/4.27 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB67) | (~(((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB67) | (~(((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0)))))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2384,plain,
% 6.07/4.27 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB67) | (~(((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0)))))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2385,plain,
% 6.07/4.27 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB67) | (~(((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0))))),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2384, 2383])).
% 6.07/4.27 tff(2386,plain,
% 6.07/4.27 (v111(constB67) | (~(((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0))))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2385, 397])).
% 6.07/4.27 tff(2387,plain,
% 6.07/4.27 (~(((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0)))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2386, 2382])).
% 6.07/4.27 tff(2388,plain,
% 6.07/4.27 ((((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0))) | (~((~v127(constB67, 2)) <=> v130(constB67, 2)))),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2389,plain,
% 6.07/4.27 (~((~v127(constB67, 2)) <=> v130(constB67, 2))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2388, 2387])).
% 6.07/4.27 tff(2390,plain,
% 6.07/4.27 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB67) <=> (~(v90(constB67, 1) | v90(constB67, 2) | (~v90(constB67, 0)))))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2391,plain,
% 6.07/4.27 (v120(constB67) <=> (~(v90(constB67, 1) | v90(constB67, 2) | (~v90(constB67, 0))))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2390, 417])).
% 6.07/4.27 tff(2392,plain,
% 6.07/4.27 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2393,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_66')).
% 6.07/4.27 tff(2394,plain,
% 6.07/4.27 (nextState(constB66, constB67)),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2393, 2392])).
% 6.07/4.27 tff(2395,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2396,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2397,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67)))))),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2396, 2395])).
% 6.07/4.27 tff(2398,plain,
% 6.07/4.27 (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2397, 2394, 273])).
% 6.07/4.27 tff(2399,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2400,plain,
% 6.07/4.27 (((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67)))))) <=> ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2401,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))))),
% 6.07/4.27 inference(monotonicity,[status(thm)],[2400])).
% 6.07/4.27 tff(2402,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 6.07/4.27 inference(transitivity,[status(thm)],[2401, 2399])).
% 6.07/4.27 tff(2403,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2404,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2403, 2402])).
% 6.07/4.27 tff(2405,plain,
% 6.07/4.27 (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2404, 2394, 293])).
% 6.07/4.27 tff(2406,plain,
% 6.07/4.27 ((~v1(constB67)) <=> (~v1(constB67))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2407,axiom,(~v1(constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_67')).
% 6.07/4.27 tff(2408,plain,
% 6.07/4.27 (~v1(constB67)),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2407, 2406])).
% 6.07/4.27 tff(2409,plain,
% 6.07/4.27 (((~v1(constB67)) | (~v102(constB67))) | v1(constB67)),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2410,plain,
% 6.07/4.27 ((~v1(constB67)) | (~v102(constB67))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2409, 2408])).
% 6.07/4.27 tff(2411,plain,
% 6.07/4.27 ((~(v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))) | (~v101(constB67)) | (~((~v1(constB67)) | (~v102(constB67))))),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2412,plain,
% 6.07/4.27 ((~(v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))) | (~v101(constB67))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2411, 2410])).
% 6.07/4.27 tff(2413,plain,
% 6.07/4.27 (~v101(constB67)),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2412, 2405])).
% 6.07/4.27 tff(2414,plain,
% 6.07/4.27 (((~v101(constB67)) | (~v110(constB67))) | v101(constB67)),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2415,plain,
% 6.07/4.27 ((~v101(constB67)) | (~v110(constB67))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2414, 2413])).
% 6.07/4.27 tff(2416,plain,
% 6.07/4.27 ((~(v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67)))))) | (~v100(constB67)) | (~((~v101(constB67)) | (~v110(constB67))))),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2417,plain,
% 6.07/4.27 (~v100(constB67)),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2416, 2415, 2398])).
% 6.07/4.27 tff(2418,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2419,plain,
% 6.07/4.27 ((v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 0)) <=> v90(constB66, 0))))) <=> (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2420,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0))))))),
% 6.07/4.27 inference(monotonicity,[status(thm)],[2419])).
% 6.07/4.27 tff(2421,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))))),
% 6.07/4.27 inference(transitivity,[status(thm)],[2420, 2418])).
% 6.07/4.27 tff(2422,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2423,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0))))),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 6.07/4.27 tff(2424,plain,
% 6.07/4.27 (v100(constB67) | (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0))))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2423, 2394, 325])).
% 6.07/4.27 tff(2425,plain,
% 6.07/4.27 (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2424, 2417])).
% 6.07/4.27 tff(2426,plain,
% 6.07/4.27 ((((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0))) | (~((~v90(constB67, 2)) <=> v90(constB66, 2)))),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2427,plain,
% 6.07/4.27 (~((~v90(constB67, 2)) <=> v90(constB66, 2))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2426, 2425])).
% 6.07/4.27 tff(2428,plain,
% 6.07/4.27 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2429,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_65')).
% 6.07/4.27 tff(2430,plain,
% 6.07/4.27 (nextState(constB65, constB66)),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2429, 2428])).
% 6.07/4.27 tff(2431,plain,
% 6.07/4.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB65, constB66)) | (~(((~v129(constB66, 2)) <=> v127(constB65, 2)) | ((~v129(constB66, 1)) <=> v127(constB65, 1)) | ((~v129(constB66, 0)) <=> v127(constB65, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB65, constB66)) | (~(((~v129(constB66, 2)) <=> v127(constB65, 2)) | ((~v129(constB66, 1)) <=> v127(constB65, 1)) | ((~v129(constB66, 0)) <=> v127(constB65, 0)))))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2432,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB65, constB66)) | (~(((~v129(constB66, 2)) <=> v127(constB65, 2)) | ((~v129(constB66, 1)) <=> v127(constB65, 1)) | ((~v129(constB66, 0)) <=> v127(constB65, 0)))))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2433,plain,
% 6.07/4.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB65, constB66)) | (~(((~v129(constB66, 2)) <=> v127(constB65, 2)) | ((~v129(constB66, 1)) <=> v127(constB65, 1)) | ((~v129(constB66, 0)) <=> v127(constB65, 0))))),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2432, 2431])).
% 6.07/4.27 tff(2434,plain,
% 6.07/4.27 (~(((~v129(constB66, 2)) <=> v127(constB65, 2)) | ((~v129(constB66, 1)) <=> v127(constB65, 1)) | ((~v129(constB66, 0)) <=> v127(constB65, 0)))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2433, 2430, 348])).
% 6.07/4.27 tff(2435,plain,
% 6.07/4.27 ((((~v129(constB66, 2)) <=> v127(constB65, 2)) | ((~v129(constB66, 1)) <=> v127(constB65, 1)) | ((~v129(constB66, 0)) <=> v127(constB65, 0))) | (~((~v129(constB66, 2)) <=> v127(constB65, 2)))),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2436,plain,
% 6.07/4.27 (~((~v129(constB66, 2)) <=> v127(constB65, 2))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2435, 2434])).
% 6.07/4.27 tff(2437,plain,
% 6.07/4.27 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB65) <=> v26(constB65))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2438,plain,
% 6.07/4.27 (v111(constB65) <=> v26(constB65)),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2437, 367])).
% 6.07/4.27 tff(2439,plain,
% 6.07/4.27 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB65))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2440,plain,
% 6.07/4.27 (~v26(constB65)),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2439, 379])).
% 6.07/4.27 tff(2441,plain,
% 6.07/4.27 ((~(v111(constB65) <=> v26(constB65))) | (~v111(constB65)) | v26(constB65)),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2442,plain,
% 6.07/4.27 ((~(v111(constB65) <=> v26(constB65))) | (~v111(constB65))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2441, 2440])).
% 6.07/4.27 tff(2443,plain,
% 6.07/4.27 (~v111(constB65)),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2442, 2438])).
% 6.07/4.27 tff(2444,plain,
% 6.07/4.27 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB65) | (~(((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB65) | (~(((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0)))))),
% 6.07/4.27 inference(rewrite,[status(thm)],[])).
% 6.07/4.27 tff(2445,plain,
% 6.07/4.27 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB65) | (~(((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0)))))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2446,plain,
% 6.07/4.27 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB65) | (~(((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0))))),
% 6.07/4.27 inference(modus_ponens,[status(thm)],[2445, 2444])).
% 6.07/4.27 tff(2447,plain,
% 6.07/4.27 (v111(constB65) | (~(((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0))))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2446, 397])).
% 6.07/4.27 tff(2448,plain,
% 6.07/4.27 (~(((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0)))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2447, 2443])).
% 6.07/4.27 tff(2449,plain,
% 6.07/4.27 ((((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0))) | (~((~v127(constB65, 2)) <=> v130(constB65, 2)))),
% 6.07/4.27 inference(tautology,[status(thm)],[])).
% 6.07/4.27 tff(2450,plain,
% 6.07/4.27 (~((~v127(constB65, 2)) <=> v130(constB65, 2))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2449, 2448])).
% 6.07/4.27 tff(2451,plain,
% 6.07/4.27 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 1) | v90(constB65, 2))))),
% 6.07/4.27 inference(quant_inst,[status(thm)],[])).
% 6.07/4.27 tff(2452,plain,
% 6.07/4.27 (v119(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 1) | v90(constB65, 2)))),
% 6.07/4.27 inference(unit_resolution,[status(thm)],[2451, 491])).
% 6.07/4.28 tff(2453,plain,
% 6.07/4.28 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2454,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_64')).
% 6.07/4.28 tff(2455,plain,
% 6.07/4.28 (nextState(constB64, constB65)),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2454, 2453])).
% 6.07/4.28 tff(2456,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2457,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2458,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65)))))),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 6.07/4.28 tff(2459,plain,
% 6.07/4.28 (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2458, 2455, 273])).
% 6.07/4.28 tff(2460,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2461,plain,
% 6.07/4.28 (((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65)))))) <=> ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2462,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))))),
% 6.07/4.28 inference(monotonicity,[status(thm)],[2461])).
% 6.07/4.28 tff(2463,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 6.07/4.28 inference(transitivity,[status(thm)],[2462, 2460])).
% 6.07/4.28 tff(2464,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2465,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2464, 2463])).
% 6.07/4.28 tff(2466,plain,
% 6.07/4.28 (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2465, 2455, 293])).
% 6.07/4.28 tff(2467,plain,
% 6.07/4.28 ((~v1(constB65)) <=> (~v1(constB65))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2468,axiom,(~v1(constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_65')).
% 6.07/4.28 tff(2469,plain,
% 6.07/4.28 (~v1(constB65)),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2468, 2467])).
% 6.07/4.28 tff(2470,plain,
% 6.07/4.28 (((~v1(constB65)) | (~v102(constB65))) | v1(constB65)),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2471,plain,
% 6.07/4.28 ((~v1(constB65)) | (~v102(constB65))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2470, 2469])).
% 6.07/4.28 tff(2472,plain,
% 6.07/4.28 ((~(v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))) | (~v101(constB65)) | (~((~v1(constB65)) | (~v102(constB65))))),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2473,plain,
% 6.07/4.28 ((~(v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))) | (~v101(constB65))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2472, 2471])).
% 6.07/4.28 tff(2474,plain,
% 6.07/4.28 (~v101(constB65)),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2473, 2466])).
% 6.07/4.28 tff(2475,plain,
% 6.07/4.28 (((~v101(constB65)) | (~v110(constB65))) | v101(constB65)),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2476,plain,
% 6.07/4.28 ((~v101(constB65)) | (~v110(constB65))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2475, 2474])).
% 6.07/4.28 tff(2477,plain,
% 6.07/4.28 ((~(v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65)))))) | (~v100(constB65)) | (~((~v101(constB65)) | (~v110(constB65))))),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2478,plain,
% 6.07/4.28 (~v100(constB65)),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2477, 2476, 2459])).
% 6.07/4.28 tff(2479,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2480,plain,
% 6.07/4.28 ((v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 0)) <=> v90(constB64, 0))))) <=> (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2481,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0))))))),
% 6.07/4.28 inference(monotonicity,[status(thm)],[2480])).
% 6.07/4.28 tff(2482,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))))),
% 6.07/4.28 inference(transitivity,[status(thm)],[2481, 2479])).
% 6.07/4.28 tff(2483,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2484,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0))))),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2483, 2482])).
% 6.07/4.28 tff(2485,plain,
% 6.07/4.28 (v100(constB65) | (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0))))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2484, 2455, 325])).
% 6.07/4.28 tff(2486,plain,
% 6.07/4.28 (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2485, 2478])).
% 6.07/4.28 tff(2487,plain,
% 6.07/4.28 ((((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0))) | (~((~v90(constB65, 2)) <=> v90(constB64, 2)))),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2488,plain,
% 6.07/4.28 (~((~v90(constB65, 2)) <=> v90(constB64, 2))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2487, 2486])).
% 6.07/4.28 tff(2489,plain,
% 6.07/4.28 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2490,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_63')).
% 6.07/4.28 tff(2491,plain,
% 6.07/4.28 (nextState(constB63, constB64)),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2490, 2489])).
% 6.07/4.28 tff(2492,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB63, constB64)) | (~(((~v129(constB64, 2)) <=> v127(constB63, 2)) | ((~v129(constB64, 1)) <=> v127(constB63, 1)) | ((~v129(constB64, 0)) <=> v127(constB63, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB63, constB64)) | (~(((~v129(constB64, 2)) <=> v127(constB63, 2)) | ((~v129(constB64, 1)) <=> v127(constB63, 1)) | ((~v129(constB64, 0)) <=> v127(constB63, 0)))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2493,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB63, constB64)) | (~(((~v129(constB64, 2)) <=> v127(constB63, 2)) | ((~v129(constB64, 1)) <=> v127(constB63, 1)) | ((~v129(constB64, 0)) <=> v127(constB63, 0)))))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2494,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB63, constB64)) | (~(((~v129(constB64, 2)) <=> v127(constB63, 2)) | ((~v129(constB64, 1)) <=> v127(constB63, 1)) | ((~v129(constB64, 0)) <=> v127(constB63, 0))))),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2493, 2492])).
% 6.07/4.28 tff(2495,plain,
% 6.07/4.28 (~(((~v129(constB64, 2)) <=> v127(constB63, 2)) | ((~v129(constB64, 1)) <=> v127(constB63, 1)) | ((~v129(constB64, 0)) <=> v127(constB63, 0)))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2494, 2491, 348])).
% 6.07/4.28 tff(2496,plain,
% 6.07/4.28 ((((~v129(constB64, 2)) <=> v127(constB63, 2)) | ((~v129(constB64, 1)) <=> v127(constB63, 1)) | ((~v129(constB64, 0)) <=> v127(constB63, 0))) | (~((~v129(constB64, 2)) <=> v127(constB63, 2)))),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2497,plain,
% 6.07/4.28 (~((~v129(constB64, 2)) <=> v127(constB63, 2))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2496, 2495])).
% 6.07/4.28 tff(2498,plain,
% 6.07/4.28 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB63) <=> v26(constB63))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2499,plain,
% 6.07/4.28 (v111(constB63) <=> v26(constB63)),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2498, 367])).
% 6.07/4.28 tff(2500,plain,
% 6.07/4.28 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB63))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2501,plain,
% 6.07/4.28 (~v26(constB63)),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2500, 379])).
% 6.07/4.28 tff(2502,plain,
% 6.07/4.28 ((~(v111(constB63) <=> v26(constB63))) | (~v111(constB63)) | v26(constB63)),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2503,plain,
% 6.07/4.28 ((~(v111(constB63) <=> v26(constB63))) | (~v111(constB63))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2502, 2501])).
% 6.07/4.28 tff(2504,plain,
% 6.07/4.28 (~v111(constB63)),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2503, 2499])).
% 6.07/4.28 tff(2505,plain,
% 6.07/4.28 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB63) | (~(((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB63) | (~(((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0)))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2506,plain,
% 6.07/4.28 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB63) | (~(((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0)))))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2507,plain,
% 6.07/4.28 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB63) | (~(((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0))))),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2506, 2505])).
% 6.07/4.28 tff(2508,plain,
% 6.07/4.28 (v111(constB63) | (~(((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0))))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2507, 397])).
% 6.07/4.28 tff(2509,plain,
% 6.07/4.28 (~(((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0)))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2508, 2504])).
% 6.07/4.28 tff(2510,plain,
% 6.07/4.28 ((((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0))) | (~((~v127(constB63, 2)) <=> v130(constB63, 2)))),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2511,plain,
% 6.07/4.28 (~((~v127(constB63, 2)) <=> v130(constB63, 2))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2510, 2509])).
% 6.07/4.28 tff(2512,plain,
% 6.07/4.28 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB63) <=> (~(v90(constB63, 1) | v90(constB63, 0) | (~v90(constB63, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB63) <=> (~(v90(constB63, 1) | v90(constB63, 0) | (~v90(constB63, 2))))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2513,plain,
% 6.07/4.28 ((v123(constB63) <=> (~(v90(constB63, 0) | v90(constB63, 1) | (~v90(constB63, 2))))) <=> (v123(constB63) <=> (~(v90(constB63, 1) | v90(constB63, 0) | (~v90(constB63, 2)))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2514,plain,
% 6.07/4.28 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB63) <=> (~(v90(constB63, 0) | v90(constB63, 1) | (~v90(constB63, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB63) <=> (~(v90(constB63, 1) | v90(constB63, 0) | (~v90(constB63, 2))))))),
% 6.07/4.28 inference(monotonicity,[status(thm)],[2513])).
% 6.07/4.28 tff(2515,plain,
% 6.07/4.28 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB63) <=> (~(v90(constB63, 0) | v90(constB63, 1) | (~v90(constB63, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB63) <=> (~(v90(constB63, 1) | v90(constB63, 0) | (~v90(constB63, 2))))))),
% 6.07/4.28 inference(transitivity,[status(thm)],[2514, 2512])).
% 6.07/4.28 tff(2516,plain,
% 6.07/4.28 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB63) <=> (~(v90(constB63, 0) | v90(constB63, 1) | (~v90(constB63, 2)))))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2517,plain,
% 6.07/4.28 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB63) <=> (~(v90(constB63, 1) | v90(constB63, 0) | (~v90(constB63, 2)))))),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2516, 2515])).
% 6.07/4.28 tff(2518,plain,
% 6.07/4.28 (v123(constB63) <=> (~(v90(constB63, 1) | v90(constB63, 0) | (~v90(constB63, 2))))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2517, 565])).
% 6.07/4.28 tff(2519,plain,
% 6.07/4.28 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2520,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_62')).
% 6.07/4.28 tff(2521,plain,
% 6.07/4.28 (nextState(constB62, constB63)),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2520, 2519])).
% 6.07/4.28 tff(2522,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2523,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2524,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63)))))),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2523, 2522])).
% 6.07/4.28 tff(2525,plain,
% 6.07/4.28 (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2524, 2521, 273])).
% 6.07/4.28 tff(2526,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2527,plain,
% 6.07/4.28 (((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63)))))) <=> ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2528,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))))),
% 6.07/4.28 inference(monotonicity,[status(thm)],[2527])).
% 6.07/4.28 tff(2529,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 6.07/4.28 inference(transitivity,[status(thm)],[2528, 2526])).
% 6.07/4.28 tff(2530,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2531,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2530, 2529])).
% 6.07/4.28 tff(2532,plain,
% 6.07/4.28 (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2531, 2521, 293])).
% 6.07/4.28 tff(2533,plain,
% 6.07/4.28 ((~v1(constB63)) <=> (~v1(constB63))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2534,axiom,(~v1(constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_63')).
% 6.07/4.28 tff(2535,plain,
% 6.07/4.28 (~v1(constB63)),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2534, 2533])).
% 6.07/4.28 tff(2536,plain,
% 6.07/4.28 (((~v1(constB63)) | (~v102(constB63))) | v1(constB63)),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2537,plain,
% 6.07/4.28 ((~v1(constB63)) | (~v102(constB63))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2536, 2535])).
% 6.07/4.28 tff(2538,plain,
% 6.07/4.28 ((~(v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))) | (~v101(constB63)) | (~((~v1(constB63)) | (~v102(constB63))))),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2539,plain,
% 6.07/4.28 ((~(v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))) | (~v101(constB63))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2538, 2537])).
% 6.07/4.28 tff(2540,plain,
% 6.07/4.28 (~v101(constB63)),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2539, 2532])).
% 6.07/4.28 tff(2541,plain,
% 6.07/4.28 (((~v101(constB63)) | (~v110(constB63))) | v101(constB63)),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2542,plain,
% 6.07/4.28 ((~v101(constB63)) | (~v110(constB63))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2541, 2540])).
% 6.07/4.28 tff(2543,plain,
% 6.07/4.28 ((~(v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63)))))) | (~v100(constB63)) | (~((~v101(constB63)) | (~v110(constB63))))),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2544,plain,
% 6.07/4.28 (~v100(constB63)),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2543, 2542, 2525])).
% 6.07/4.28 tff(2545,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2546,plain,
% 6.07/4.28 ((v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 0)) <=> v90(constB62, 0))))) <=> (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2547,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0))))))),
% 6.07/4.28 inference(monotonicity,[status(thm)],[2546])).
% 6.07/4.28 tff(2548,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))))),
% 6.07/4.28 inference(transitivity,[status(thm)],[2547, 2545])).
% 6.07/4.28 tff(2549,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2550,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0))))),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2549, 2548])).
% 6.07/4.28 tff(2551,plain,
% 6.07/4.28 (v100(constB63) | (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0))))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2550, 2521, 325])).
% 6.07/4.28 tff(2552,plain,
% 6.07/4.28 (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2551, 2544])).
% 6.07/4.28 tff(2553,plain,
% 6.07/4.28 ((((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0))) | (~((~v90(constB63, 2)) <=> v90(constB62, 2)))),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2554,plain,
% 6.07/4.28 (~((~v90(constB63, 2)) <=> v90(constB62, 2))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2553, 2552])).
% 6.07/4.28 tff(2555,plain,
% 6.07/4.28 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2556,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_61')).
% 6.07/4.28 tff(2557,plain,
% 6.07/4.28 (nextState(constB61, constB62)),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 6.07/4.28 tff(2558,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB61, constB62)) | (~(((~v129(constB62, 2)) <=> v127(constB61, 2)) | ((~v129(constB62, 1)) <=> v127(constB61, 1)) | ((~v129(constB62, 0)) <=> v127(constB61, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB61, constB62)) | (~(((~v129(constB62, 2)) <=> v127(constB61, 2)) | ((~v129(constB62, 1)) <=> v127(constB61, 1)) | ((~v129(constB62, 0)) <=> v127(constB61, 0)))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2559,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB61, constB62)) | (~(((~v129(constB62, 2)) <=> v127(constB61, 2)) | ((~v129(constB62, 1)) <=> v127(constB61, 1)) | ((~v129(constB62, 0)) <=> v127(constB61, 0)))))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2560,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB61, constB62)) | (~(((~v129(constB62, 2)) <=> v127(constB61, 2)) | ((~v129(constB62, 1)) <=> v127(constB61, 1)) | ((~v129(constB62, 0)) <=> v127(constB61, 0))))),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2559, 2558])).
% 6.07/4.28 tff(2561,plain,
% 6.07/4.28 (~(((~v129(constB62, 2)) <=> v127(constB61, 2)) | ((~v129(constB62, 1)) <=> v127(constB61, 1)) | ((~v129(constB62, 0)) <=> v127(constB61, 0)))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2560, 2557, 348])).
% 6.07/4.28 tff(2562,plain,
% 6.07/4.28 ((((~v129(constB62, 2)) <=> v127(constB61, 2)) | ((~v129(constB62, 1)) <=> v127(constB61, 1)) | ((~v129(constB62, 0)) <=> v127(constB61, 0))) | (~((~v129(constB62, 2)) <=> v127(constB61, 2)))),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2563,plain,
% 6.07/4.28 (~((~v129(constB62, 2)) <=> v127(constB61, 2))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2562, 2561])).
% 6.07/4.28 tff(2564,plain,
% 6.07/4.28 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB61) <=> v26(constB61))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2565,plain,
% 6.07/4.28 (v111(constB61) <=> v26(constB61)),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2564, 367])).
% 6.07/4.28 tff(2566,plain,
% 6.07/4.28 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB61))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2567,plain,
% 6.07/4.28 (~v26(constB61)),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2566, 379])).
% 6.07/4.28 tff(2568,plain,
% 6.07/4.28 ((~(v111(constB61) <=> v26(constB61))) | (~v111(constB61)) | v26(constB61)),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2569,plain,
% 6.07/4.28 ((~(v111(constB61) <=> v26(constB61))) | (~v111(constB61))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2568, 2567])).
% 6.07/4.28 tff(2570,plain,
% 6.07/4.28 (~v111(constB61)),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2569, 2565])).
% 6.07/4.28 tff(2571,plain,
% 6.07/4.28 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB61) | (~(((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB61) | (~(((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0)))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2572,plain,
% 6.07/4.28 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB61) | (~(((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0)))))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2573,plain,
% 6.07/4.28 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB61) | (~(((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0))))),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2572, 2571])).
% 6.07/4.28 tff(2574,plain,
% 6.07/4.28 (v111(constB61) | (~(((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0))))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2573, 397])).
% 6.07/4.28 tff(2575,plain,
% 6.07/4.28 (~(((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0)))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2574, 2570])).
% 6.07/4.28 tff(2576,plain,
% 6.07/4.28 ((((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0))) | (~((~v127(constB61, 2)) <=> v130(constB61, 2)))),
% 6.07/4.28 inference(tautology,[status(thm)],[])).
% 6.07/4.28 tff(2577,plain,
% 6.07/4.28 (~((~v127(constB61, 2)) <=> v130(constB61, 2))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2576, 2575])).
% 6.07/4.28 tff(2578,plain,
% 6.07/4.28 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB61) <=> (~(v90(constB61, 2) | (~v90(constB61, 1)) | (~v90(constB61, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB61) <=> (~(v90(constB61, 2) | (~v90(constB61, 1)) | (~v90(constB61, 0))))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2579,plain,
% 6.07/4.28 ((v122(constB61) <=> (~(v90(constB61, 2) | (~v90(constB61, 0)) | (~v90(constB61, 1))))) <=> (v122(constB61) <=> (~(v90(constB61, 2) | (~v90(constB61, 1)) | (~v90(constB61, 0)))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2580,plain,
% 6.07/4.28 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB61) <=> (~(v90(constB61, 2) | (~v90(constB61, 0)) | (~v90(constB61, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB61) <=> (~(v90(constB61, 2) | (~v90(constB61, 1)) | (~v90(constB61, 0))))))),
% 6.07/4.28 inference(monotonicity,[status(thm)],[2579])).
% 6.07/4.28 tff(2581,plain,
% 6.07/4.28 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB61) <=> (~(v90(constB61, 2) | (~v90(constB61, 0)) | (~v90(constB61, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB61) <=> (~(v90(constB61, 2) | (~v90(constB61, 1)) | (~v90(constB61, 0))))))),
% 6.07/4.28 inference(transitivity,[status(thm)],[2580, 2578])).
% 6.07/4.28 tff(2582,plain,
% 6.07/4.28 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB61) <=> (~(v90(constB61, 2) | (~v90(constB61, 0)) | (~v90(constB61, 1)))))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2583,plain,
% 6.07/4.28 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB61) <=> (~(v90(constB61, 2) | (~v90(constB61, 1)) | (~v90(constB61, 0)))))),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2582, 2581])).
% 6.07/4.28 tff(2584,plain,
% 6.07/4.28 (v122(constB61) <=> (~(v90(constB61, 2) | (~v90(constB61, 1)) | (~v90(constB61, 0))))),
% 6.07/4.28 inference(unit_resolution,[status(thm)],[2583, 644])).
% 6.07/4.28 tff(2585,plain,
% 6.07/4.28 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2586,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_60')).
% 6.07/4.28 tff(2587,plain,
% 6.07/4.28 (nextState(constB60, constB61)),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2586, 2585])).
% 6.07/4.28 tff(2588,plain,
% 6.07/4.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))),
% 6.07/4.28 inference(rewrite,[status(thm)],[])).
% 6.07/4.28 tff(2589,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))),
% 6.07/4.28 inference(quant_inst,[status(thm)],[])).
% 6.07/4.28 tff(2590,plain,
% 6.07/4.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61)))))),
% 6.07/4.28 inference(modus_ponens,[status(thm)],[2589, 2588])).
% 6.07/4.28 tff(2591,plain,
% 6.07/4.28 (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2590, 2587, 273])).
% 6.07/4.29 tff(2592,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2593,plain,
% 6.07/4.29 (((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61)))))) <=> ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2594,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))))),
% 6.07/4.29 inference(monotonicity,[status(thm)],[2593])).
% 6.07/4.29 tff(2595,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 6.07/4.29 inference(transitivity,[status(thm)],[2594, 2592])).
% 6.07/4.29 tff(2596,plain,
% 6.07/4.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))),
% 6.07/4.29 inference(quant_inst,[status(thm)],[])).
% 6.07/4.29 tff(2597,plain,
% 6.07/4.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))),
% 6.07/4.29 inference(modus_ponens,[status(thm)],[2596, 2595])).
% 6.07/4.29 tff(2598,plain,
% 6.07/4.29 (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2597, 2587, 293])).
% 6.07/4.29 tff(2599,plain,
% 6.07/4.29 ((~v1(constB61)) <=> (~v1(constB61))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2600,axiom,(~v1(constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_61')).
% 6.07/4.29 tff(2601,plain,
% 6.07/4.29 (~v1(constB61)),
% 6.07/4.29 inference(modus_ponens,[status(thm)],[2600, 2599])).
% 6.07/4.29 tff(2602,plain,
% 6.07/4.29 (((~v1(constB61)) | (~v102(constB61))) | v1(constB61)),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2603,plain,
% 6.07/4.29 ((~v1(constB61)) | (~v102(constB61))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2602, 2601])).
% 6.07/4.29 tff(2604,plain,
% 6.07/4.29 ((~(v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))) | (~v101(constB61)) | (~((~v1(constB61)) | (~v102(constB61))))),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2605,plain,
% 6.07/4.29 ((~(v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))) | (~v101(constB61))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2604, 2603])).
% 6.07/4.29 tff(2606,plain,
% 6.07/4.29 (~v101(constB61)),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2605, 2598])).
% 6.07/4.29 tff(2607,plain,
% 6.07/4.29 (((~v101(constB61)) | (~v110(constB61))) | v101(constB61)),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2608,plain,
% 6.07/4.29 ((~v101(constB61)) | (~v110(constB61))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2607, 2606])).
% 6.07/4.29 tff(2609,plain,
% 6.07/4.29 ((~(v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61)))))) | (~v100(constB61)) | (~((~v101(constB61)) | (~v110(constB61))))),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2610,plain,
% 6.07/4.29 (~v100(constB61)),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2609, 2608, 2591])).
% 6.07/4.29 tff(2611,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2612,plain,
% 6.07/4.29 ((v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 0)) <=> v90(constB60, 0))))) <=> (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2613,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0))))))),
% 6.07/4.29 inference(monotonicity,[status(thm)],[2612])).
% 6.07/4.29 tff(2614,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))))),
% 6.07/4.29 inference(transitivity,[status(thm)],[2613, 2611])).
% 6.07/4.29 tff(2615,plain,
% 6.07/4.29 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))))),
% 6.07/4.29 inference(quant_inst,[status(thm)],[])).
% 6.07/4.29 tff(2616,plain,
% 6.07/4.29 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0))))),
% 6.07/4.29 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 6.07/4.29 tff(2617,plain,
% 6.07/4.29 (v100(constB61) | (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0))))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2616, 2587, 325])).
% 6.07/4.29 tff(2618,plain,
% 6.07/4.29 (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2617, 2610])).
% 6.07/4.29 tff(2619,plain,
% 6.07/4.29 ((((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0))) | (~((~v90(constB61, 2)) <=> v90(constB60, 2)))),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2620,plain,
% 6.07/4.29 (~((~v90(constB61, 2)) <=> v90(constB60, 2))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2619, 2618])).
% 6.07/4.29 tff(2621,plain,
% 6.07/4.29 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2622,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_59')).
% 6.07/4.29 tff(2623,plain,
% 6.07/4.29 (nextState(constB59, constB60)),
% 6.07/4.29 inference(modus_ponens,[status(thm)],[2622, 2621])).
% 6.07/4.29 tff(2624,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB59, constB60)) | (~(((~v129(constB60, 2)) <=> v127(constB59, 2)) | ((~v129(constB60, 1)) <=> v127(constB59, 1)) | ((~v129(constB60, 0)) <=> v127(constB59, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB59, constB60)) | (~(((~v129(constB60, 2)) <=> v127(constB59, 2)) | ((~v129(constB60, 1)) <=> v127(constB59, 1)) | ((~v129(constB60, 0)) <=> v127(constB59, 0)))))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2625,plain,
% 6.07/4.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB59, constB60)) | (~(((~v129(constB60, 2)) <=> v127(constB59, 2)) | ((~v129(constB60, 1)) <=> v127(constB59, 1)) | ((~v129(constB60, 0)) <=> v127(constB59, 0)))))),
% 6.07/4.29 inference(quant_inst,[status(thm)],[])).
% 6.07/4.29 tff(2626,plain,
% 6.07/4.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB59, constB60)) | (~(((~v129(constB60, 2)) <=> v127(constB59, 2)) | ((~v129(constB60, 1)) <=> v127(constB59, 1)) | ((~v129(constB60, 0)) <=> v127(constB59, 0))))),
% 6.07/4.29 inference(modus_ponens,[status(thm)],[2625, 2624])).
% 6.07/4.29 tff(2627,plain,
% 6.07/4.29 (~(((~v129(constB60, 2)) <=> v127(constB59, 2)) | ((~v129(constB60, 1)) <=> v127(constB59, 1)) | ((~v129(constB60, 0)) <=> v127(constB59, 0)))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2626, 2623, 348])).
% 6.07/4.29 tff(2628,plain,
% 6.07/4.29 ((((~v129(constB60, 2)) <=> v127(constB59, 2)) | ((~v129(constB60, 1)) <=> v127(constB59, 1)) | ((~v129(constB60, 0)) <=> v127(constB59, 0))) | (~((~v129(constB60, 2)) <=> v127(constB59, 2)))),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2629,plain,
% 6.07/4.29 (~((~v129(constB60, 2)) <=> v127(constB59, 2))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2628, 2627])).
% 6.07/4.29 tff(2630,plain,
% 6.07/4.29 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB59) <=> v26(constB59))),
% 6.07/4.29 inference(quant_inst,[status(thm)],[])).
% 6.07/4.29 tff(2631,plain,
% 6.07/4.29 (v111(constB59) <=> v26(constB59)),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2630, 367])).
% 6.07/4.29 tff(2632,plain,
% 6.07/4.29 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB59))),
% 6.07/4.29 inference(quant_inst,[status(thm)],[])).
% 6.07/4.29 tff(2633,plain,
% 6.07/4.29 (~v26(constB59)),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2632, 379])).
% 6.07/4.29 tff(2634,plain,
% 6.07/4.29 ((~(v111(constB59) <=> v26(constB59))) | (~v111(constB59)) | v26(constB59)),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2635,plain,
% 6.07/4.29 ((~(v111(constB59) <=> v26(constB59))) | (~v111(constB59))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2634, 2633])).
% 6.07/4.29 tff(2636,plain,
% 6.07/4.29 (~v111(constB59)),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2635, 2631])).
% 6.07/4.29 tff(2637,plain,
% 6.07/4.29 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB59) | (~(((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB59) | (~(((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0)))))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2638,plain,
% 6.07/4.29 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB59) | (~(((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0)))))),
% 6.07/4.29 inference(quant_inst,[status(thm)],[])).
% 6.07/4.29 tff(2639,plain,
% 6.07/4.29 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB59) | (~(((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0))))),
% 6.07/4.29 inference(modus_ponens,[status(thm)],[2638, 2637])).
% 6.07/4.29 tff(2640,plain,
% 6.07/4.29 (v111(constB59) | (~(((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0))))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2639, 397])).
% 6.07/4.29 tff(2641,plain,
% 6.07/4.29 (~(((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0)))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2640, 2636])).
% 6.07/4.29 tff(2642,plain,
% 6.07/4.29 ((((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0))) | (~((~v127(constB59, 2)) <=> v130(constB59, 2)))),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2643,plain,
% 6.07/4.29 (~((~v127(constB59, 2)) <=> v130(constB59, 2))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2642, 2641])).
% 6.07/4.29 tff(2644,plain,
% 6.07/4.29 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB59) <=> (~(v90(constB59, 2) | v90(constB59, 0) | (~v90(constB59, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB59) <=> (~(v90(constB59, 2) | v90(constB59, 0) | (~v90(constB59, 1))))))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2645,plain,
% 6.07/4.29 ((v121(constB59) <=> (~(v90(constB59, 0) | v90(constB59, 2) | (~v90(constB59, 1))))) <=> (v121(constB59) <=> (~(v90(constB59, 2) | v90(constB59, 0) | (~v90(constB59, 1)))))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2646,plain,
% 6.07/4.29 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB59) <=> (~(v90(constB59, 0) | v90(constB59, 2) | (~v90(constB59, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB59) <=> (~(v90(constB59, 2) | v90(constB59, 0) | (~v90(constB59, 1))))))),
% 6.07/4.29 inference(monotonicity,[status(thm)],[2645])).
% 6.07/4.29 tff(2647,plain,
% 6.07/4.29 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB59) <=> (~(v90(constB59, 0) | v90(constB59, 2) | (~v90(constB59, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB59) <=> (~(v90(constB59, 2) | v90(constB59, 0) | (~v90(constB59, 1))))))),
% 6.07/4.29 inference(transitivity,[status(thm)],[2646, 2644])).
% 6.07/4.29 tff(2648,plain,
% 6.07/4.29 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB59) <=> (~(v90(constB59, 0) | v90(constB59, 2) | (~v90(constB59, 1)))))),
% 6.07/4.29 inference(quant_inst,[status(thm)],[])).
% 6.07/4.29 tff(2649,plain,
% 6.07/4.29 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB59) <=> (~(v90(constB59, 2) | v90(constB59, 0) | (~v90(constB59, 1)))))),
% 6.07/4.29 inference(modus_ponens,[status(thm)],[2648, 2647])).
% 6.07/4.29 tff(2650,plain,
% 6.07/4.29 (v121(constB59) <=> (~(v90(constB59, 2) | v90(constB59, 0) | (~v90(constB59, 1))))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2649, 723])).
% 6.07/4.29 tff(2651,plain,
% 6.07/4.29 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2652,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_58')).
% 6.07/4.29 tff(2653,plain,
% 6.07/4.29 (nextState(constB58, constB59)),
% 6.07/4.29 inference(modus_ponens,[status(thm)],[2652, 2651])).
% 6.07/4.29 tff(2654,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2655,plain,
% 6.07/4.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))),
% 6.07/4.29 inference(quant_inst,[status(thm)],[])).
% 6.07/4.29 tff(2656,plain,
% 6.07/4.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59)))))),
% 6.07/4.29 inference(modus_ponens,[status(thm)],[2655, 2654])).
% 6.07/4.29 tff(2657,plain,
% 6.07/4.29 (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2656, 2653, 273])).
% 6.07/4.29 tff(2658,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2659,plain,
% 6.07/4.29 (((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59)))))) <=> ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2660,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))))),
% 6.07/4.29 inference(monotonicity,[status(thm)],[2659])).
% 6.07/4.29 tff(2661,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 6.07/4.29 inference(transitivity,[status(thm)],[2660, 2658])).
% 6.07/4.29 tff(2662,plain,
% 6.07/4.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))),
% 6.07/4.29 inference(quant_inst,[status(thm)],[])).
% 6.07/4.29 tff(2663,plain,
% 6.07/4.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))),
% 6.07/4.29 inference(modus_ponens,[status(thm)],[2662, 2661])).
% 6.07/4.29 tff(2664,plain,
% 6.07/4.29 (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2663, 2653, 293])).
% 6.07/4.29 tff(2665,plain,
% 6.07/4.29 ((~v1(constB59)) <=> (~v1(constB59))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2666,axiom,(~v1(constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_59')).
% 6.07/4.29 tff(2667,plain,
% 6.07/4.29 (~v1(constB59)),
% 6.07/4.29 inference(modus_ponens,[status(thm)],[2666, 2665])).
% 6.07/4.29 tff(2668,plain,
% 6.07/4.29 (((~v1(constB59)) | (~v102(constB59))) | v1(constB59)),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2669,plain,
% 6.07/4.29 ((~v1(constB59)) | (~v102(constB59))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2668, 2667])).
% 6.07/4.29 tff(2670,plain,
% 6.07/4.29 ((~(v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))) | (~v101(constB59)) | (~((~v1(constB59)) | (~v102(constB59))))),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2671,plain,
% 6.07/4.29 ((~(v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))) | (~v101(constB59))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2670, 2669])).
% 6.07/4.29 tff(2672,plain,
% 6.07/4.29 (~v101(constB59)),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2671, 2664])).
% 6.07/4.29 tff(2673,plain,
% 6.07/4.29 (((~v101(constB59)) | (~v110(constB59))) | v101(constB59)),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2674,plain,
% 6.07/4.29 ((~v101(constB59)) | (~v110(constB59))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2673, 2672])).
% 6.07/4.29 tff(2675,plain,
% 6.07/4.29 ((~(v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59)))))) | (~v100(constB59)) | (~((~v101(constB59)) | (~v110(constB59))))),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2676,plain,
% 6.07/4.29 (~v100(constB59)),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2675, 2674, 2657])).
% 6.07/4.29 tff(2677,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2678,plain,
% 6.07/4.29 ((v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 0)) <=> v90(constB58, 0))))) <=> (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2679,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0))))))),
% 6.07/4.29 inference(monotonicity,[status(thm)],[2678])).
% 6.07/4.29 tff(2680,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))))),
% 6.07/4.29 inference(transitivity,[status(thm)],[2679, 2677])).
% 6.07/4.29 tff(2681,plain,
% 6.07/4.29 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))))),
% 6.07/4.29 inference(quant_inst,[status(thm)],[])).
% 6.07/4.29 tff(2682,plain,
% 6.07/4.29 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0))))),
% 6.07/4.29 inference(modus_ponens,[status(thm)],[2681, 2680])).
% 6.07/4.29 tff(2683,plain,
% 6.07/4.29 (v100(constB59) | (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0))))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2682, 2653, 325])).
% 6.07/4.29 tff(2684,plain,
% 6.07/4.29 (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2683, 2676])).
% 6.07/4.29 tff(2685,plain,
% 6.07/4.29 ((((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0))) | (~((~v90(constB59, 2)) <=> v90(constB58, 2)))),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2686,plain,
% 6.07/4.29 (~((~v90(constB59, 2)) <=> v90(constB58, 2))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2685, 2684])).
% 6.07/4.29 tff(2687,plain,
% 6.07/4.29 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2688,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_57')).
% 6.07/4.29 tff(2689,plain,
% 6.07/4.29 (nextState(constB57, constB58)),
% 6.07/4.29 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 6.07/4.29 tff(2690,plain,
% 6.07/4.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB57, constB58)) | (~(((~v129(constB58, 2)) <=> v127(constB57, 2)) | ((~v129(constB58, 1)) <=> v127(constB57, 1)) | ((~v129(constB58, 0)) <=> v127(constB57, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB57, constB58)) | (~(((~v129(constB58, 2)) <=> v127(constB57, 2)) | ((~v129(constB58, 1)) <=> v127(constB57, 1)) | ((~v129(constB58, 0)) <=> v127(constB57, 0)))))),
% 6.07/4.29 inference(rewrite,[status(thm)],[])).
% 6.07/4.29 tff(2691,plain,
% 6.07/4.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB57, constB58)) | (~(((~v129(constB58, 2)) <=> v127(constB57, 2)) | ((~v129(constB58, 1)) <=> v127(constB57, 1)) | ((~v129(constB58, 0)) <=> v127(constB57, 0)))))),
% 6.07/4.29 inference(quant_inst,[status(thm)],[])).
% 6.07/4.29 tff(2692,plain,
% 6.07/4.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB57, constB58)) | (~(((~v129(constB58, 2)) <=> v127(constB57, 2)) | ((~v129(constB58, 1)) <=> v127(constB57, 1)) | ((~v129(constB58, 0)) <=> v127(constB57, 0))))),
% 6.07/4.29 inference(modus_ponens,[status(thm)],[2691, 2690])).
% 6.07/4.29 tff(2693,plain,
% 6.07/4.29 (~(((~v129(constB58, 2)) <=> v127(constB57, 2)) | ((~v129(constB58, 1)) <=> v127(constB57, 1)) | ((~v129(constB58, 0)) <=> v127(constB57, 0)))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2692, 2689, 348])).
% 6.07/4.29 tff(2694,plain,
% 6.07/4.29 ((((~v129(constB58, 2)) <=> v127(constB57, 2)) | ((~v129(constB58, 1)) <=> v127(constB57, 1)) | ((~v129(constB58, 0)) <=> v127(constB57, 0))) | (~((~v129(constB58, 2)) <=> v127(constB57, 2)))),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2695,plain,
% 6.07/4.29 (~((~v129(constB58, 2)) <=> v127(constB57, 2))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2694, 2693])).
% 6.07/4.29 tff(2696,plain,
% 6.07/4.29 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB57) <=> v26(constB57))),
% 6.07/4.29 inference(quant_inst,[status(thm)],[])).
% 6.07/4.29 tff(2697,plain,
% 6.07/4.29 (v111(constB57) <=> v26(constB57)),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2696, 367])).
% 6.07/4.29 tff(2698,plain,
% 6.07/4.29 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB57))),
% 6.07/4.29 inference(quant_inst,[status(thm)],[])).
% 6.07/4.29 tff(2699,plain,
% 6.07/4.29 (~v26(constB57)),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2698, 379])).
% 6.07/4.29 tff(2700,plain,
% 6.07/4.29 ((~(v111(constB57) <=> v26(constB57))) | (~v111(constB57)) | v26(constB57)),
% 6.07/4.29 inference(tautology,[status(thm)],[])).
% 6.07/4.29 tff(2701,plain,
% 6.07/4.29 ((~(v111(constB57) <=> v26(constB57))) | (~v111(constB57))),
% 6.07/4.29 inference(unit_resolution,[status(thm)],[2700, 2699])).
% 6.07/4.29 tff(2702,plain,
% 6.07/4.29 (~v111(constB57)),
% 6.11/4.29 inference(unit_resolution,[status(thm)],[2701, 2697])).
% 6.11/4.29 tff(2703,plain,
% 6.11/4.29 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB57) | (~(((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB57) | (~(((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0)))))),
% 6.11/4.29 inference(rewrite,[status(thm)],[])).
% 6.11/4.29 tff(2704,plain,
% 6.11/4.29 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB57) | (~(((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0)))))),
% 6.11/4.29 inference(quant_inst,[status(thm)],[])).
% 6.11/4.29 tff(2705,plain,
% 6.11/4.29 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB57) | (~(((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0))))),
% 6.11/4.29 inference(modus_ponens,[status(thm)],[2704, 2703])).
% 6.11/4.29 tff(2706,plain,
% 6.11/4.29 (v111(constB57) | (~(((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0))))),
% 6.11/4.29 inference(unit_resolution,[status(thm)],[2705, 397])).
% 6.11/4.29 tff(2707,plain,
% 6.11/4.29 (~(((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0)))),
% 6.11/4.29 inference(unit_resolution,[status(thm)],[2706, 2702])).
% 6.11/4.29 tff(2708,plain,
% 6.11/4.29 ((((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0))) | (~((~v127(constB57, 2)) <=> v130(constB57, 2)))),
% 6.11/4.29 inference(tautology,[status(thm)],[])).
% 6.11/4.29 tff(2709,plain,
% 6.11/4.29 (~((~v127(constB57, 2)) <=> v130(constB57, 2))),
% 6.11/4.29 inference(unit_resolution,[status(thm)],[2708, 2707])).
% 6.11/4.29 tff(2710,plain,
% 6.11/4.29 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB57) <=> (~(v90(constB57, 1) | v90(constB57, 2) | (~v90(constB57, 0)))))),
% 6.11/4.29 inference(quant_inst,[status(thm)],[])).
% 6.11/4.29 tff(2711,plain,
% 6.11/4.29 (v120(constB57) <=> (~(v90(constB57, 1) | v90(constB57, 2) | (~v90(constB57, 0))))),
% 6.11/4.29 inference(unit_resolution,[status(thm)],[2710, 417])).
% 6.11/4.29 tff(2712,plain,
% 6.11/4.29 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 6.11/4.29 inference(rewrite,[status(thm)],[])).
% 6.11/4.29 tff(2713,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_56')).
% 6.11/4.29 tff(2714,plain,
% 6.11/4.29 (nextState(constB56, constB57)),
% 6.11/4.29 inference(modus_ponens,[status(thm)],[2713, 2712])).
% 6.11/4.29 tff(2715,plain,
% 6.11/4.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))),
% 6.11/4.29 inference(rewrite,[status(thm)],[])).
% 6.11/4.29 tff(2716,plain,
% 6.11/4.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))),
% 6.11/4.29 inference(quant_inst,[status(thm)],[])).
% 6.11/4.29 tff(2717,plain,
% 6.11/4.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57)))))),
% 6.11/4.29 inference(modus_ponens,[status(thm)],[2716, 2715])).
% 6.11/4.29 tff(2718,plain,
% 6.11/4.29 (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))),
% 6.11/4.29 inference(unit_resolution,[status(thm)],[2717, 2714, 273])).
% 6.11/4.29 tff(2719,plain,
% 6.11/4.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 6.11/4.29 inference(rewrite,[status(thm)],[])).
% 6.11/4.29 tff(2720,plain,
% 6.11/4.29 (((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57)))))) <=> ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 6.11/4.29 inference(rewrite,[status(thm)],[])).
% 6.11/4.29 tff(2721,plain,
% 6.11/4.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))))),
% 6.11/4.29 inference(monotonicity,[status(thm)],[2720])).
% 6.11/4.29 tff(2722,plain,
% 6.11/4.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 6.11/4.29 inference(transitivity,[status(thm)],[2721, 2719])).
% 6.11/4.29 tff(2723,plain,
% 6.11/4.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))),
% 6.11/4.29 inference(quant_inst,[status(thm)],[])).
% 6.11/4.29 tff(2724,plain,
% 6.11/4.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))),
% 6.11/4.29 inference(modus_ponens,[status(thm)],[2723, 2722])).
% 6.11/4.29 tff(2725,plain,
% 6.11/4.29 (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))),
% 6.11/4.29 inference(unit_resolution,[status(thm)],[2724, 2714, 293])).
% 6.11/4.29 tff(2726,plain,
% 6.11/4.29 ((~v1(constB57)) <=> (~v1(constB57))),
% 6.11/4.29 inference(rewrite,[status(thm)],[])).
% 6.11/4.29 tff(2727,axiom,(~v1(constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_57')).
% 6.11/4.29 tff(2728,plain,
% 6.11/4.29 (~v1(constB57)),
% 6.11/4.29 inference(modus_ponens,[status(thm)],[2727, 2726])).
% 6.11/4.29 tff(2729,plain,
% 6.11/4.29 (((~v1(constB57)) | (~v102(constB57))) | v1(constB57)),
% 6.11/4.29 inference(tautology,[status(thm)],[])).
% 6.11/4.29 tff(2730,plain,
% 6.11/4.29 ((~v1(constB57)) | (~v102(constB57))),
% 6.11/4.29 inference(unit_resolution,[status(thm)],[2729, 2728])).
% 6.11/4.29 tff(2731,plain,
% 6.11/4.29 ((~(v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))) | (~v101(constB57)) | (~((~v1(constB57)) | (~v102(constB57))))),
% 6.11/4.29 inference(tautology,[status(thm)],[])).
% 6.11/4.29 tff(2732,plain,
% 6.11/4.30 ((~(v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))) | (~v101(constB57))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2731, 2730])).
% 6.11/4.30 tff(2733,plain,
% 6.11/4.30 (~v101(constB57)),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2732, 2725])).
% 6.11/4.30 tff(2734,plain,
% 6.11/4.30 (((~v101(constB57)) | (~v110(constB57))) | v101(constB57)),
% 6.11/4.30 inference(tautology,[status(thm)],[])).
% 6.11/4.30 tff(2735,plain,
% 6.11/4.30 ((~v101(constB57)) | (~v110(constB57))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2734, 2733])).
% 6.11/4.30 tff(2736,plain,
% 6.11/4.30 ((~(v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57)))))) | (~v100(constB57)) | (~((~v101(constB57)) | (~v110(constB57))))),
% 6.11/4.30 inference(tautology,[status(thm)],[])).
% 6.11/4.30 tff(2737,plain,
% 6.11/4.30 (~v100(constB57)),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2736, 2735, 2718])).
% 6.11/4.30 tff(2738,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2739,plain,
% 6.11/4.30 ((v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 0)) <=> v90(constB56, 0))))) <=> (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2740,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0))))))),
% 6.11/4.30 inference(monotonicity,[status(thm)],[2739])).
% 6.11/4.30 tff(2741,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))))),
% 6.11/4.30 inference(transitivity,[status(thm)],[2740, 2738])).
% 6.11/4.30 tff(2742,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2743,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0))))),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2742, 2741])).
% 6.11/4.30 tff(2744,plain,
% 6.11/4.30 (v100(constB57) | (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0))))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2743, 2714, 325])).
% 6.11/4.30 tff(2745,plain,
% 6.11/4.30 (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2744, 2737])).
% 6.11/4.30 tff(2746,plain,
% 6.11/4.30 ((((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0))) | (~((~v90(constB57, 2)) <=> v90(constB56, 2)))),
% 6.11/4.30 inference(tautology,[status(thm)],[])).
% 6.11/4.30 tff(2747,plain,
% 6.11/4.30 (~((~v90(constB57, 2)) <=> v90(constB56, 2))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2746, 2745])).
% 6.11/4.30 tff(2748,plain,
% 6.11/4.30 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2749,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_55')).
% 6.11/4.30 tff(2750,plain,
% 6.11/4.30 (nextState(constB55, constB56)),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2749, 2748])).
% 6.11/4.30 tff(2751,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB55, constB56)) | (~(((~v129(constB56, 2)) <=> v127(constB55, 2)) | ((~v129(constB56, 1)) <=> v127(constB55, 1)) | ((~v129(constB56, 0)) <=> v127(constB55, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB55, constB56)) | (~(((~v129(constB56, 2)) <=> v127(constB55, 2)) | ((~v129(constB56, 1)) <=> v127(constB55, 1)) | ((~v129(constB56, 0)) <=> v127(constB55, 0)))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2752,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB55, constB56)) | (~(((~v129(constB56, 2)) <=> v127(constB55, 2)) | ((~v129(constB56, 1)) <=> v127(constB55, 1)) | ((~v129(constB56, 0)) <=> v127(constB55, 0)))))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2753,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB55, constB56)) | (~(((~v129(constB56, 2)) <=> v127(constB55, 2)) | ((~v129(constB56, 1)) <=> v127(constB55, 1)) | ((~v129(constB56, 0)) <=> v127(constB55, 0))))),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2752, 2751])).
% 6.11/4.30 tff(2754,plain,
% 6.11/4.30 (~(((~v129(constB56, 2)) <=> v127(constB55, 2)) | ((~v129(constB56, 1)) <=> v127(constB55, 1)) | ((~v129(constB56, 0)) <=> v127(constB55, 0)))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2753, 2750, 348])).
% 6.11/4.30 tff(2755,plain,
% 6.11/4.30 ((((~v129(constB56, 2)) <=> v127(constB55, 2)) | ((~v129(constB56, 1)) <=> v127(constB55, 1)) | ((~v129(constB56, 0)) <=> v127(constB55, 0))) | (~((~v129(constB56, 2)) <=> v127(constB55, 2)))),
% 6.11/4.30 inference(tautology,[status(thm)],[])).
% 6.11/4.30 tff(2756,plain,
% 6.11/4.30 (~((~v129(constB56, 2)) <=> v127(constB55, 2))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2755, 2754])).
% 6.11/4.30 tff(2757,plain,
% 6.11/4.30 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB55) <=> v26(constB55))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2758,plain,
% 6.11/4.30 (v111(constB55) <=> v26(constB55)),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2757, 367])).
% 6.11/4.30 tff(2759,plain,
% 6.11/4.30 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB55))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2760,plain,
% 6.11/4.30 (~v26(constB55)),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2759, 379])).
% 6.11/4.30 tff(2761,plain,
% 6.11/4.30 ((~(v111(constB55) <=> v26(constB55))) | (~v111(constB55)) | v26(constB55)),
% 6.11/4.30 inference(tautology,[status(thm)],[])).
% 6.11/4.30 tff(2762,plain,
% 6.11/4.30 ((~(v111(constB55) <=> v26(constB55))) | (~v111(constB55))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2761, 2760])).
% 6.11/4.30 tff(2763,plain,
% 6.11/4.30 (~v111(constB55)),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2762, 2758])).
% 6.11/4.30 tff(2764,plain,
% 6.11/4.30 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB55) | (~(((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB55) | (~(((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0)))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2765,plain,
% 6.11/4.30 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB55) | (~(((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0)))))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2766,plain,
% 6.11/4.30 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB55) | (~(((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0))))),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2765, 2764])).
% 6.11/4.30 tff(2767,plain,
% 6.11/4.30 (v111(constB55) | (~(((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0))))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2766, 397])).
% 6.11/4.30 tff(2768,plain,
% 6.11/4.30 (~(((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0)))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2767, 2763])).
% 6.11/4.30 tff(2769,plain,
% 6.11/4.30 ((((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0))) | (~((~v127(constB55, 2)) <=> v130(constB55, 2)))),
% 6.11/4.30 inference(tautology,[status(thm)],[])).
% 6.11/4.30 tff(2770,plain,
% 6.11/4.30 (~((~v127(constB55, 2)) <=> v130(constB55, 2))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2769, 2768])).
% 6.11/4.30 tff(2771,plain,
% 6.11/4.30 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB55) <=> (~(v90(constB55, 1) | v90(constB55, 2) | (~v90(constB55, 0)))))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2772,plain,
% 6.11/4.30 (v120(constB55) <=> (~(v90(constB55, 1) | v90(constB55, 2) | (~v90(constB55, 0))))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2771, 417])).
% 6.11/4.30 tff(2773,plain,
% 6.11/4.30 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2774,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_54')).
% 6.11/4.30 tff(2775,plain,
% 6.11/4.30 (nextState(constB54, constB55)),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2774, 2773])).
% 6.11/4.30 tff(2776,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2777,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2778,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55)))))),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2777, 2776])).
% 6.11/4.30 tff(2779,plain,
% 6.11/4.30 (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2778, 2775, 273])).
% 6.11/4.30 tff(2780,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2781,plain,
% 6.11/4.30 (((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55)))))) <=> ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2782,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))))),
% 6.11/4.30 inference(monotonicity,[status(thm)],[2781])).
% 6.11/4.30 tff(2783,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 6.11/4.30 inference(transitivity,[status(thm)],[2782, 2780])).
% 6.11/4.30 tff(2784,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2785,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2784, 2783])).
% 6.11/4.30 tff(2786,plain,
% 6.11/4.30 (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2785, 2775, 293])).
% 6.11/4.30 tff(2787,plain,
% 6.11/4.30 ((~v1(constB55)) <=> (~v1(constB55))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2788,axiom,(~v1(constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_55')).
% 6.11/4.30 tff(2789,plain,
% 6.11/4.30 (~v1(constB55)),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2788, 2787])).
% 6.11/4.30 tff(2790,plain,
% 6.11/4.30 (((~v1(constB55)) | (~v102(constB55))) | v1(constB55)),
% 6.11/4.30 inference(tautology,[status(thm)],[])).
% 6.11/4.30 tff(2791,plain,
% 6.11/4.30 ((~v1(constB55)) | (~v102(constB55))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2790, 2789])).
% 6.11/4.30 tff(2792,plain,
% 6.11/4.30 ((~(v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))) | (~v101(constB55)) | (~((~v1(constB55)) | (~v102(constB55))))),
% 6.11/4.30 inference(tautology,[status(thm)],[])).
% 6.11/4.30 tff(2793,plain,
% 6.11/4.30 ((~(v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))) | (~v101(constB55))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2792, 2791])).
% 6.11/4.30 tff(2794,plain,
% 6.11/4.30 (~v101(constB55)),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2793, 2786])).
% 6.11/4.30 tff(2795,plain,
% 6.11/4.30 (((~v101(constB55)) | (~v110(constB55))) | v101(constB55)),
% 6.11/4.30 inference(tautology,[status(thm)],[])).
% 6.11/4.30 tff(2796,plain,
% 6.11/4.30 ((~v101(constB55)) | (~v110(constB55))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2795, 2794])).
% 6.11/4.30 tff(2797,plain,
% 6.11/4.30 ((~(v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55)))))) | (~v100(constB55)) | (~((~v101(constB55)) | (~v110(constB55))))),
% 6.11/4.30 inference(tautology,[status(thm)],[])).
% 6.11/4.30 tff(2798,plain,
% 6.11/4.30 (~v100(constB55)),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2797, 2796, 2779])).
% 6.11/4.30 tff(2799,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2800,plain,
% 6.11/4.30 ((v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 0)) <=> v90(constB54, 0))))) <=> (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2801,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0))))))),
% 6.11/4.30 inference(monotonicity,[status(thm)],[2800])).
% 6.11/4.30 tff(2802,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))))),
% 6.11/4.30 inference(transitivity,[status(thm)],[2801, 2799])).
% 6.11/4.30 tff(2803,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2804,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0))))),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2803, 2802])).
% 6.11/4.30 tff(2805,plain,
% 6.11/4.30 (v100(constB55) | (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0))))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2804, 2775, 325])).
% 6.11/4.30 tff(2806,plain,
% 6.11/4.30 (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2805, 2798])).
% 6.11/4.30 tff(2807,plain,
% 6.11/4.30 ((((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0))) | (~((~v90(constB55, 0)) <=> v90(constB54, 0)))),
% 6.11/4.30 inference(tautology,[status(thm)],[])).
% 6.11/4.30 tff(2808,plain,
% 6.11/4.30 (~((~v90(constB55, 0)) <=> v90(constB54, 0))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2807, 2806])).
% 6.11/4.30 tff(2809,plain,
% 6.11/4.30 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2810,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_53')).
% 6.11/4.30 tff(2811,plain,
% 6.11/4.30 (nextState(constB53, constB54)),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2810, 2809])).
% 6.11/4.30 tff(2812,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB53, constB54)) | (~(((~v129(constB54, 2)) <=> v127(constB53, 2)) | ((~v129(constB54, 1)) <=> v127(constB53, 1)) | ((~v129(constB54, 0)) <=> v127(constB53, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB53, constB54)) | (~(((~v129(constB54, 2)) <=> v127(constB53, 2)) | ((~v129(constB54, 1)) <=> v127(constB53, 1)) | ((~v129(constB54, 0)) <=> v127(constB53, 0)))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2813,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB53, constB54)) | (~(((~v129(constB54, 2)) <=> v127(constB53, 2)) | ((~v129(constB54, 1)) <=> v127(constB53, 1)) | ((~v129(constB54, 0)) <=> v127(constB53, 0)))))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2814,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB53, constB54)) | (~(((~v129(constB54, 2)) <=> v127(constB53, 2)) | ((~v129(constB54, 1)) <=> v127(constB53, 1)) | ((~v129(constB54, 0)) <=> v127(constB53, 0))))),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2813, 2812])).
% 6.11/4.30 tff(2815,plain,
% 6.11/4.30 (~(((~v129(constB54, 2)) <=> v127(constB53, 2)) | ((~v129(constB54, 1)) <=> v127(constB53, 1)) | ((~v129(constB54, 0)) <=> v127(constB53, 0)))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2814, 2811, 348])).
% 6.11/4.30 tff(2816,plain,
% 6.11/4.30 ((((~v129(constB54, 2)) <=> v127(constB53, 2)) | ((~v129(constB54, 1)) <=> v127(constB53, 1)) | ((~v129(constB54, 0)) <=> v127(constB53, 0))) | (~((~v129(constB54, 0)) <=> v127(constB53, 0)))),
% 6.11/4.30 inference(tautology,[status(thm)],[])).
% 6.11/4.30 tff(2817,plain,
% 6.11/4.30 (~((~v129(constB54, 0)) <=> v127(constB53, 0))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2816, 2815])).
% 6.11/4.30 tff(2818,plain,
% 6.11/4.30 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB53) <=> v26(constB53))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2819,plain,
% 6.11/4.30 (v111(constB53) <=> v26(constB53)),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2818, 367])).
% 6.11/4.30 tff(2820,plain,
% 6.11/4.30 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB53))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2821,plain,
% 6.11/4.30 (~v26(constB53)),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2820, 379])).
% 6.11/4.30 tff(2822,plain,
% 6.11/4.30 ((~(v111(constB53) <=> v26(constB53))) | (~v111(constB53)) | v26(constB53)),
% 6.11/4.30 inference(tautology,[status(thm)],[])).
% 6.11/4.30 tff(2823,plain,
% 6.11/4.30 ((~(v111(constB53) <=> v26(constB53))) | (~v111(constB53))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2822, 2821])).
% 6.11/4.30 tff(2824,plain,
% 6.11/4.30 (~v111(constB53)),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2823, 2819])).
% 6.11/4.30 tff(2825,plain,
% 6.11/4.30 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB53) | (~(((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB53) | (~(((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0)))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2826,plain,
% 6.11/4.30 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB53) | (~(((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0)))))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2827,plain,
% 6.11/4.30 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB53) | (~(((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0))))),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2826, 2825])).
% 6.11/4.30 tff(2828,plain,
% 6.11/4.30 (v111(constB53) | (~(((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0))))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2827, 397])).
% 6.11/4.30 tff(2829,plain,
% 6.11/4.30 (~(((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0)))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2828, 2824])).
% 6.11/4.30 tff(2830,plain,
% 6.11/4.30 ((((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0))) | (~((~v127(constB53, 0)) <=> v130(constB53, 0)))),
% 6.11/4.30 inference(tautology,[status(thm)],[])).
% 6.11/4.30 tff(2831,plain,
% 6.11/4.30 (~((~v127(constB53, 0)) <=> v130(constB53, 0))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2830, 2829])).
% 6.11/4.30 tff(2832,plain,
% 6.11/4.30 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB53) <=> (~(v90(constB53, 1) | v90(constB53, 0) | (~v90(constB53, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB53) <=> (~(v90(constB53, 1) | v90(constB53, 0) | (~v90(constB53, 2))))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2833,plain,
% 6.11/4.30 ((v123(constB53) <=> (~(v90(constB53, 0) | v90(constB53, 1) | (~v90(constB53, 2))))) <=> (v123(constB53) <=> (~(v90(constB53, 1) | v90(constB53, 0) | (~v90(constB53, 2)))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2834,plain,
% 6.11/4.30 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB53) <=> (~(v90(constB53, 0) | v90(constB53, 1) | (~v90(constB53, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB53) <=> (~(v90(constB53, 1) | v90(constB53, 0) | (~v90(constB53, 2))))))),
% 6.11/4.30 inference(monotonicity,[status(thm)],[2833])).
% 6.11/4.30 tff(2835,plain,
% 6.11/4.30 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB53) <=> (~(v90(constB53, 0) | v90(constB53, 1) | (~v90(constB53, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB53) <=> (~(v90(constB53, 1) | v90(constB53, 0) | (~v90(constB53, 2))))))),
% 6.11/4.30 inference(transitivity,[status(thm)],[2834, 2832])).
% 6.11/4.30 tff(2836,plain,
% 6.11/4.30 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB53) <=> (~(v90(constB53, 0) | v90(constB53, 1) | (~v90(constB53, 2)))))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2837,plain,
% 6.11/4.30 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB53) <=> (~(v90(constB53, 1) | v90(constB53, 0) | (~v90(constB53, 2)))))),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2836, 2835])).
% 6.11/4.30 tff(2838,plain,
% 6.11/4.30 (v123(constB53) <=> (~(v90(constB53, 1) | v90(constB53, 0) | (~v90(constB53, 2))))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2837, 565])).
% 6.11/4.30 tff(2839,plain,
% 6.11/4.30 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2840,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_52')).
% 6.11/4.30 tff(2841,plain,
% 6.11/4.30 (nextState(constB52, constB53)),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 6.11/4.30 tff(2842,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2843,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2844,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53)))))),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2843, 2842])).
% 6.11/4.30 tff(2845,plain,
% 6.11/4.30 (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2844, 2841, 273])).
% 6.11/4.30 tff(2846,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2847,plain,
% 6.11/4.30 (((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53)))))) <=> ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2848,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))))),
% 6.11/4.30 inference(monotonicity,[status(thm)],[2847])).
% 6.11/4.30 tff(2849,plain,
% 6.11/4.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 6.11/4.30 inference(transitivity,[status(thm)],[2848, 2846])).
% 6.11/4.30 tff(2850,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))),
% 6.11/4.30 inference(quant_inst,[status(thm)],[])).
% 6.11/4.30 tff(2851,plain,
% 6.11/4.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2850, 2849])).
% 6.11/4.30 tff(2852,plain,
% 6.11/4.30 (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))),
% 6.11/4.30 inference(unit_resolution,[status(thm)],[2851, 2841, 293])).
% 6.11/4.30 tff(2853,plain,
% 6.11/4.30 ((~v1(constB53)) <=> (~v1(constB53))),
% 6.11/4.30 inference(rewrite,[status(thm)],[])).
% 6.11/4.30 tff(2854,axiom,(~v1(constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_53')).
% 6.11/4.30 tff(2855,plain,
% 6.11/4.30 (~v1(constB53)),
% 6.11/4.30 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 6.11/4.31 tff(2856,plain,
% 6.11/4.31 (((~v1(constB53)) | (~v102(constB53))) | v1(constB53)),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2857,plain,
% 6.11/4.31 ((~v1(constB53)) | (~v102(constB53))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2856, 2855])).
% 6.11/4.31 tff(2858,plain,
% 6.11/4.31 ((~(v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))) | (~v101(constB53)) | (~((~v1(constB53)) | (~v102(constB53))))),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2859,plain,
% 6.11/4.31 ((~(v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))) | (~v101(constB53))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2858, 2857])).
% 6.11/4.31 tff(2860,plain,
% 6.11/4.31 (~v101(constB53)),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2859, 2852])).
% 6.11/4.31 tff(2861,plain,
% 6.11/4.31 (((~v101(constB53)) | (~v110(constB53))) | v101(constB53)),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2862,plain,
% 6.11/4.31 ((~v101(constB53)) | (~v110(constB53))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2861, 2860])).
% 6.11/4.31 tff(2863,plain,
% 6.11/4.31 ((~(v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53)))))) | (~v100(constB53)) | (~((~v101(constB53)) | (~v110(constB53))))),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2864,plain,
% 6.11/4.31 (~v100(constB53)),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2863, 2862, 2845])).
% 6.11/4.31 tff(2865,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2866,plain,
% 6.11/4.31 ((v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 0)) <=> v90(constB52, 0))))) <=> (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2867,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0))))))),
% 6.11/4.31 inference(monotonicity,[status(thm)],[2866])).
% 6.11/4.31 tff(2868,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))))),
% 6.11/4.31 inference(transitivity,[status(thm)],[2867, 2865])).
% 6.11/4.31 tff(2869,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2870,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0))))),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2869, 2868])).
% 6.11/4.31 tff(2871,plain,
% 6.11/4.31 (v100(constB53) | (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0))))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2870, 2841, 325])).
% 6.11/4.31 tff(2872,plain,
% 6.11/4.31 (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2871, 2864])).
% 6.11/4.31 tff(2873,plain,
% 6.11/4.31 ((((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0))) | (~((~v90(constB53, 2)) <=> v90(constB52, 2)))),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2874,plain,
% 6.11/4.31 (~((~v90(constB53, 2)) <=> v90(constB52, 2))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2873, 2872])).
% 6.11/4.31 tff(2875,plain,
% 6.11/4.31 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2876,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_51')).
% 6.11/4.31 tff(2877,plain,
% 6.11/4.31 (nextState(constB51, constB52)),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2876, 2875])).
% 6.11/4.31 tff(2878,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB51, constB52)) | (~(((~v129(constB52, 2)) <=> v127(constB51, 2)) | ((~v129(constB52, 1)) <=> v127(constB51, 1)) | ((~v129(constB52, 0)) <=> v127(constB51, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB51, constB52)) | (~(((~v129(constB52, 2)) <=> v127(constB51, 2)) | ((~v129(constB52, 1)) <=> v127(constB51, 1)) | ((~v129(constB52, 0)) <=> v127(constB51, 0)))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2879,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB51, constB52)) | (~(((~v129(constB52, 2)) <=> v127(constB51, 2)) | ((~v129(constB52, 1)) <=> v127(constB51, 1)) | ((~v129(constB52, 0)) <=> v127(constB51, 0)))))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2880,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB51, constB52)) | (~(((~v129(constB52, 2)) <=> v127(constB51, 2)) | ((~v129(constB52, 1)) <=> v127(constB51, 1)) | ((~v129(constB52, 0)) <=> v127(constB51, 0))))),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2879, 2878])).
% 6.11/4.31 tff(2881,plain,
% 6.11/4.31 (~(((~v129(constB52, 2)) <=> v127(constB51, 2)) | ((~v129(constB52, 1)) <=> v127(constB51, 1)) | ((~v129(constB52, 0)) <=> v127(constB51, 0)))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2880, 2877, 348])).
% 6.11/4.31 tff(2882,plain,
% 6.11/4.31 ((((~v129(constB52, 2)) <=> v127(constB51, 2)) | ((~v129(constB52, 1)) <=> v127(constB51, 1)) | ((~v129(constB52, 0)) <=> v127(constB51, 0))) | (~((~v129(constB52, 2)) <=> v127(constB51, 2)))),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2883,plain,
% 6.11/4.31 (~((~v129(constB52, 2)) <=> v127(constB51, 2))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2882, 2881])).
% 6.11/4.31 tff(2884,plain,
% 6.11/4.31 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB51) <=> v26(constB51))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2885,plain,
% 6.11/4.31 (v111(constB51) <=> v26(constB51)),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2884, 367])).
% 6.11/4.31 tff(2886,plain,
% 6.11/4.31 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB51))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2887,plain,
% 6.11/4.31 (~v26(constB51)),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2886, 379])).
% 6.11/4.31 tff(2888,plain,
% 6.11/4.31 ((~(v111(constB51) <=> v26(constB51))) | (~v111(constB51)) | v26(constB51)),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2889,plain,
% 6.11/4.31 ((~(v111(constB51) <=> v26(constB51))) | (~v111(constB51))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2888, 2887])).
% 6.11/4.31 tff(2890,plain,
% 6.11/4.31 (~v111(constB51)),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2889, 2885])).
% 6.11/4.31 tff(2891,plain,
% 6.11/4.31 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB51) | (~(((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB51) | (~(((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0)))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2892,plain,
% 6.11/4.31 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB51) | (~(((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0)))))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2893,plain,
% 6.11/4.31 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB51) | (~(((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0))))),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2892, 2891])).
% 6.11/4.31 tff(2894,plain,
% 6.11/4.31 (v111(constB51) | (~(((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0))))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2893, 397])).
% 6.11/4.31 tff(2895,plain,
% 6.11/4.31 (~(((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0)))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2894, 2890])).
% 6.11/4.31 tff(2896,plain,
% 6.11/4.31 ((((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0))) | (~((~v127(constB51, 2)) <=> v130(constB51, 2)))),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2897,plain,
% 6.11/4.31 (~((~v127(constB51, 2)) <=> v130(constB51, 2))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2896, 2895])).
% 6.11/4.31 tff(2898,plain,
% 6.11/4.31 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB51) <=> (~(v90(constB51, 2) | (~v90(constB51, 1)) | (~v90(constB51, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB51) <=> (~(v90(constB51, 2) | (~v90(constB51, 1)) | (~v90(constB51, 0))))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2899,plain,
% 6.11/4.31 ((v122(constB51) <=> (~(v90(constB51, 2) | (~v90(constB51, 0)) | (~v90(constB51, 1))))) <=> (v122(constB51) <=> (~(v90(constB51, 2) | (~v90(constB51, 1)) | (~v90(constB51, 0)))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2900,plain,
% 6.11/4.31 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB51) <=> (~(v90(constB51, 2) | (~v90(constB51, 0)) | (~v90(constB51, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB51) <=> (~(v90(constB51, 2) | (~v90(constB51, 1)) | (~v90(constB51, 0))))))),
% 6.11/4.31 inference(monotonicity,[status(thm)],[2899])).
% 6.11/4.31 tff(2901,plain,
% 6.11/4.31 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB51) <=> (~(v90(constB51, 2) | (~v90(constB51, 0)) | (~v90(constB51, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB51) <=> (~(v90(constB51, 2) | (~v90(constB51, 1)) | (~v90(constB51, 0))))))),
% 6.11/4.31 inference(transitivity,[status(thm)],[2900, 2898])).
% 6.11/4.31 tff(2902,plain,
% 6.11/4.31 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB51) <=> (~(v90(constB51, 2) | (~v90(constB51, 0)) | (~v90(constB51, 1)))))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2903,plain,
% 6.11/4.31 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB51) <=> (~(v90(constB51, 2) | (~v90(constB51, 1)) | (~v90(constB51, 0)))))),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2902, 2901])).
% 6.11/4.31 tff(2904,plain,
% 6.11/4.31 (v122(constB51) <=> (~(v90(constB51, 2) | (~v90(constB51, 1)) | (~v90(constB51, 0))))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2903, 644])).
% 6.11/4.31 tff(2905,plain,
% 6.11/4.31 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2906,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_50')).
% 6.11/4.31 tff(2907,plain,
% 6.11/4.31 (nextState(constB50, constB51)),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2906, 2905])).
% 6.11/4.31 tff(2908,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2909,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2910,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51)))))),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2909, 2908])).
% 6.11/4.31 tff(2911,plain,
% 6.11/4.31 (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2910, 2907, 273])).
% 6.11/4.31 tff(2912,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2913,plain,
% 6.11/4.31 (((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51)))))) <=> ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2914,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))))),
% 6.11/4.31 inference(monotonicity,[status(thm)],[2913])).
% 6.11/4.31 tff(2915,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 6.11/4.31 inference(transitivity,[status(thm)],[2914, 2912])).
% 6.11/4.31 tff(2916,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2917,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2916, 2915])).
% 6.11/4.31 tff(2918,plain,
% 6.11/4.31 (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2917, 2907, 293])).
% 6.11/4.31 tff(2919,plain,
% 6.11/4.31 ((~v1(constB51)) <=> (~v1(constB51))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2920,axiom,(~v1(constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_51')).
% 6.11/4.31 tff(2921,plain,
% 6.11/4.31 (~v1(constB51)),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2920, 2919])).
% 6.11/4.31 tff(2922,plain,
% 6.11/4.31 (((~v1(constB51)) | (~v102(constB51))) | v1(constB51)),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2923,plain,
% 6.11/4.31 ((~v1(constB51)) | (~v102(constB51))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2922, 2921])).
% 6.11/4.31 tff(2924,plain,
% 6.11/4.31 ((~(v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))) | (~v101(constB51)) | (~((~v1(constB51)) | (~v102(constB51))))),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2925,plain,
% 6.11/4.31 ((~(v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))) | (~v101(constB51))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2924, 2923])).
% 6.11/4.31 tff(2926,plain,
% 6.11/4.31 (~v101(constB51)),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2925, 2918])).
% 6.11/4.31 tff(2927,plain,
% 6.11/4.31 (((~v101(constB51)) | (~v110(constB51))) | v101(constB51)),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2928,plain,
% 6.11/4.31 ((~v101(constB51)) | (~v110(constB51))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2927, 2926])).
% 6.11/4.31 tff(2929,plain,
% 6.11/4.31 ((~(v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51)))))) | (~v100(constB51)) | (~((~v101(constB51)) | (~v110(constB51))))),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2930,plain,
% 6.11/4.31 (~v100(constB51)),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2929, 2928, 2911])).
% 6.11/4.31 tff(2931,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2932,plain,
% 6.11/4.31 ((v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 0)) <=> v90(constB50, 0))))) <=> (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2933,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0))))))),
% 6.11/4.31 inference(monotonicity,[status(thm)],[2932])).
% 6.11/4.31 tff(2934,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))))),
% 6.11/4.31 inference(transitivity,[status(thm)],[2933, 2931])).
% 6.11/4.31 tff(2935,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2936,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0))))),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2935, 2934])).
% 6.11/4.31 tff(2937,plain,
% 6.11/4.31 (v100(constB51) | (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0))))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2936, 2907, 325])).
% 6.11/4.31 tff(2938,plain,
% 6.11/4.31 (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2937, 2930])).
% 6.11/4.31 tff(2939,plain,
% 6.11/4.31 ((((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0))) | (~((~v90(constB51, 2)) <=> v90(constB50, 2)))),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2940,plain,
% 6.11/4.31 (~((~v90(constB51, 2)) <=> v90(constB50, 2))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2939, 2938])).
% 6.11/4.31 tff(2941,plain,
% 6.11/4.31 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2942,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_49')).
% 6.11/4.31 tff(2943,plain,
% 6.11/4.31 (nextState(constB49, constB50)),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2942, 2941])).
% 6.11/4.31 tff(2944,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB49, constB50)) | (~(((~v129(constB50, 2)) <=> v127(constB49, 2)) | ((~v129(constB50, 1)) <=> v127(constB49, 1)) | ((~v129(constB50, 0)) <=> v127(constB49, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB49, constB50)) | (~(((~v129(constB50, 2)) <=> v127(constB49, 2)) | ((~v129(constB50, 1)) <=> v127(constB49, 1)) | ((~v129(constB50, 0)) <=> v127(constB49, 0)))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2945,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB49, constB50)) | (~(((~v129(constB50, 2)) <=> v127(constB49, 2)) | ((~v129(constB50, 1)) <=> v127(constB49, 1)) | ((~v129(constB50, 0)) <=> v127(constB49, 0)))))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2946,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB49, constB50)) | (~(((~v129(constB50, 2)) <=> v127(constB49, 2)) | ((~v129(constB50, 1)) <=> v127(constB49, 1)) | ((~v129(constB50, 0)) <=> v127(constB49, 0))))),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 6.11/4.31 tff(2947,plain,
% 6.11/4.31 (~(((~v129(constB50, 2)) <=> v127(constB49, 2)) | ((~v129(constB50, 1)) <=> v127(constB49, 1)) | ((~v129(constB50, 0)) <=> v127(constB49, 0)))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2946, 2943, 348])).
% 6.11/4.31 tff(2948,plain,
% 6.11/4.31 ((((~v129(constB50, 2)) <=> v127(constB49, 2)) | ((~v129(constB50, 1)) <=> v127(constB49, 1)) | ((~v129(constB50, 0)) <=> v127(constB49, 0))) | (~((~v129(constB50, 2)) <=> v127(constB49, 2)))),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2949,plain,
% 6.11/4.31 (~((~v129(constB50, 2)) <=> v127(constB49, 2))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2948, 2947])).
% 6.11/4.31 tff(2950,plain,
% 6.11/4.31 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB49) <=> v26(constB49))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2951,plain,
% 6.11/4.31 (v111(constB49) <=> v26(constB49)),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2950, 367])).
% 6.11/4.31 tff(2952,plain,
% 6.11/4.31 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB49))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2953,plain,
% 6.11/4.31 (~v26(constB49)),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2952, 379])).
% 6.11/4.31 tff(2954,plain,
% 6.11/4.31 ((~(v111(constB49) <=> v26(constB49))) | (~v111(constB49)) | v26(constB49)),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2955,plain,
% 6.11/4.31 ((~(v111(constB49) <=> v26(constB49))) | (~v111(constB49))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2954, 2953])).
% 6.11/4.31 tff(2956,plain,
% 6.11/4.31 (~v111(constB49)),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2955, 2951])).
% 6.11/4.31 tff(2957,plain,
% 6.11/4.31 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB49) | (~(((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB49) | (~(((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0)))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2958,plain,
% 6.11/4.31 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB49) | (~(((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0)))))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2959,plain,
% 6.11/4.31 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB49) | (~(((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0))))),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2958, 2957])).
% 6.11/4.31 tff(2960,plain,
% 6.11/4.31 (v111(constB49) | (~(((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0))))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2959, 397])).
% 6.11/4.31 tff(2961,plain,
% 6.11/4.31 (~(((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0)))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2960, 2956])).
% 6.11/4.31 tff(2962,plain,
% 6.11/4.31 ((((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0))) | (~((~v127(constB49, 2)) <=> v130(constB49, 2)))),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2963,plain,
% 6.11/4.31 (~((~v127(constB49, 2)) <=> v130(constB49, 2))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2962, 2961])).
% 6.11/4.31 tff(2964,plain,
% 6.11/4.31 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB49) <=> (~(v90(constB49, 2) | v90(constB49, 0) | (~v90(constB49, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB49) <=> (~(v90(constB49, 2) | v90(constB49, 0) | (~v90(constB49, 1))))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2965,plain,
% 6.11/4.31 ((v121(constB49) <=> (~(v90(constB49, 0) | v90(constB49, 2) | (~v90(constB49, 1))))) <=> (v121(constB49) <=> (~(v90(constB49, 2) | v90(constB49, 0) | (~v90(constB49, 1)))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2966,plain,
% 6.11/4.31 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB49) <=> (~(v90(constB49, 0) | v90(constB49, 2) | (~v90(constB49, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB49) <=> (~(v90(constB49, 2) | v90(constB49, 0) | (~v90(constB49, 1))))))),
% 6.11/4.31 inference(monotonicity,[status(thm)],[2965])).
% 6.11/4.31 tff(2967,plain,
% 6.11/4.31 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB49) <=> (~(v90(constB49, 0) | v90(constB49, 2) | (~v90(constB49, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB49) <=> (~(v90(constB49, 2) | v90(constB49, 0) | (~v90(constB49, 1))))))),
% 6.11/4.31 inference(transitivity,[status(thm)],[2966, 2964])).
% 6.11/4.31 tff(2968,plain,
% 6.11/4.31 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB49) <=> (~(v90(constB49, 0) | v90(constB49, 2) | (~v90(constB49, 1)))))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2969,plain,
% 6.11/4.31 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB49) <=> (~(v90(constB49, 2) | v90(constB49, 0) | (~v90(constB49, 1)))))),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2968, 2967])).
% 6.11/4.31 tff(2970,plain,
% 6.11/4.31 (v121(constB49) <=> (~(v90(constB49, 2) | v90(constB49, 0) | (~v90(constB49, 1))))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2969, 723])).
% 6.11/4.31 tff(2971,plain,
% 6.11/4.31 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2972,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_48')).
% 6.11/4.31 tff(2973,plain,
% 6.11/4.31 (nextState(constB48, constB49)),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2972, 2971])).
% 6.11/4.31 tff(2974,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2975,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2976,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49)))))),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2975, 2974])).
% 6.11/4.31 tff(2977,plain,
% 6.11/4.31 (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2976, 2973, 273])).
% 6.11/4.31 tff(2978,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2979,plain,
% 6.11/4.31 (((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49)))))) <=> ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2980,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))))),
% 6.11/4.31 inference(monotonicity,[status(thm)],[2979])).
% 6.11/4.31 tff(2981,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 6.11/4.31 inference(transitivity,[status(thm)],[2980, 2978])).
% 6.11/4.31 tff(2982,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))),
% 6.11/4.31 inference(quant_inst,[status(thm)],[])).
% 6.11/4.31 tff(2983,plain,
% 6.11/4.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2982, 2981])).
% 6.11/4.31 tff(2984,plain,
% 6.11/4.31 (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2983, 2973, 293])).
% 6.11/4.31 tff(2985,plain,
% 6.11/4.31 ((~v1(constB49)) <=> (~v1(constB49))),
% 6.11/4.31 inference(rewrite,[status(thm)],[])).
% 6.11/4.31 tff(2986,axiom,(~v1(constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_49')).
% 6.11/4.31 tff(2987,plain,
% 6.11/4.31 (~v1(constB49)),
% 6.11/4.31 inference(modus_ponens,[status(thm)],[2986, 2985])).
% 6.11/4.31 tff(2988,plain,
% 6.11/4.31 (((~v1(constB49)) | (~v102(constB49))) | v1(constB49)),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2989,plain,
% 6.11/4.31 ((~v1(constB49)) | (~v102(constB49))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2988, 2987])).
% 6.11/4.31 tff(2990,plain,
% 6.11/4.31 ((~(v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))) | (~v101(constB49)) | (~((~v1(constB49)) | (~v102(constB49))))),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2991,plain,
% 6.11/4.31 ((~(v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))) | (~v101(constB49))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2990, 2989])).
% 6.11/4.31 tff(2992,plain,
% 6.11/4.31 (~v101(constB49)),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2991, 2984])).
% 6.11/4.31 tff(2993,plain,
% 6.11/4.31 (((~v101(constB49)) | (~v110(constB49))) | v101(constB49)),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2994,plain,
% 6.11/4.31 ((~v101(constB49)) | (~v110(constB49))),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2993, 2992])).
% 6.11/4.31 tff(2995,plain,
% 6.11/4.31 ((~(v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49)))))) | (~v100(constB49)) | (~((~v101(constB49)) | (~v110(constB49))))),
% 6.11/4.31 inference(tautology,[status(thm)],[])).
% 6.11/4.31 tff(2996,plain,
% 6.11/4.31 (~v100(constB49)),
% 6.11/4.31 inference(unit_resolution,[status(thm)],[2995, 2994, 2977])).
% 6.11/4.31 tff(2997,plain,
% 6.11/4.31 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(2998,plain,
% 6.11/4.32 ((v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 0)) <=> v90(constB48, 0))))) <=> (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(2999,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0))))))),
% 6.11/4.32 inference(monotonicity,[status(thm)],[2998])).
% 6.11/4.32 tff(3000,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))))),
% 6.11/4.32 inference(transitivity,[status(thm)],[2999, 2997])).
% 6.11/4.32 tff(3001,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3002,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0))))),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3001, 3000])).
% 6.11/4.32 tff(3003,plain,
% 6.11/4.32 (v100(constB49) | (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0))))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3002, 2973, 325])).
% 6.11/4.32 tff(3004,plain,
% 6.11/4.32 (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3003, 2996])).
% 6.11/4.32 tff(3005,plain,
% 6.11/4.32 ((((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0))) | (~((~v90(constB49, 2)) <=> v90(constB48, 2)))),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3006,plain,
% 6.11/4.32 (~((~v90(constB49, 2)) <=> v90(constB48, 2))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3005, 3004])).
% 6.11/4.32 tff(3007,plain,
% 6.11/4.32 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3008,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_47')).
% 6.11/4.32 tff(3009,plain,
% 6.11/4.32 (nextState(constB47, constB48)),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3008, 3007])).
% 6.11/4.32 tff(3010,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB47, constB48)) | (~(((~v129(constB48, 2)) <=> v127(constB47, 2)) | ((~v129(constB48, 1)) <=> v127(constB47, 1)) | ((~v129(constB48, 0)) <=> v127(constB47, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB47, constB48)) | (~(((~v129(constB48, 2)) <=> v127(constB47, 2)) | ((~v129(constB48, 1)) <=> v127(constB47, 1)) | ((~v129(constB48, 0)) <=> v127(constB47, 0)))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3011,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB47, constB48)) | (~(((~v129(constB48, 2)) <=> v127(constB47, 2)) | ((~v129(constB48, 1)) <=> v127(constB47, 1)) | ((~v129(constB48, 0)) <=> v127(constB47, 0)))))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3012,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB47, constB48)) | (~(((~v129(constB48, 2)) <=> v127(constB47, 2)) | ((~v129(constB48, 1)) <=> v127(constB47, 1)) | ((~v129(constB48, 0)) <=> v127(constB47, 0))))),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3011, 3010])).
% 6.11/4.32 tff(3013,plain,
% 6.11/4.32 (~(((~v129(constB48, 2)) <=> v127(constB47, 2)) | ((~v129(constB48, 1)) <=> v127(constB47, 1)) | ((~v129(constB48, 0)) <=> v127(constB47, 0)))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3012, 3009, 348])).
% 6.11/4.32 tff(3014,plain,
% 6.11/4.32 ((((~v129(constB48, 2)) <=> v127(constB47, 2)) | ((~v129(constB48, 1)) <=> v127(constB47, 1)) | ((~v129(constB48, 0)) <=> v127(constB47, 0))) | (~((~v129(constB48, 2)) <=> v127(constB47, 2)))),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3015,plain,
% 6.11/4.32 (~((~v129(constB48, 2)) <=> v127(constB47, 2))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3014, 3013])).
% 6.11/4.32 tff(3016,plain,
% 6.11/4.32 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB47) <=> v26(constB47))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3017,plain,
% 6.11/4.32 (v111(constB47) <=> v26(constB47)),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3016, 367])).
% 6.11/4.32 tff(3018,plain,
% 6.11/4.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB47))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3019,plain,
% 6.11/4.32 (~v26(constB47)),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3018, 379])).
% 6.11/4.32 tff(3020,plain,
% 6.11/4.32 ((~(v111(constB47) <=> v26(constB47))) | (~v111(constB47)) | v26(constB47)),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3021,plain,
% 6.11/4.32 ((~(v111(constB47) <=> v26(constB47))) | (~v111(constB47))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3020, 3019])).
% 6.11/4.32 tff(3022,plain,
% 6.11/4.32 (~v111(constB47)),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3021, 3017])).
% 6.11/4.32 tff(3023,plain,
% 6.11/4.32 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB47) | (~(((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB47) | (~(((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0)))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3024,plain,
% 6.11/4.32 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB47) | (~(((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0)))))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3025,plain,
% 6.11/4.32 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB47) | (~(((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0))))),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3024, 3023])).
% 6.11/4.32 tff(3026,plain,
% 6.11/4.32 (v111(constB47) | (~(((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0))))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3025, 397])).
% 6.11/4.32 tff(3027,plain,
% 6.11/4.32 (~(((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0)))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3026, 3022])).
% 6.11/4.32 tff(3028,plain,
% 6.11/4.32 ((((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0))) | (~((~v127(constB47, 2)) <=> v130(constB47, 2)))),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3029,plain,
% 6.11/4.32 (~((~v127(constB47, 2)) <=> v130(constB47, 2))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3028, 3027])).
% 6.11/4.32 tff(3030,plain,
% 6.11/4.32 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB47) <=> (~(v90(constB47, 1) | v90(constB47, 2) | (~v90(constB47, 0)))))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3031,plain,
% 6.11/4.32 (v120(constB47) <=> (~(v90(constB47, 1) | v90(constB47, 2) | (~v90(constB47, 0))))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3030, 417])).
% 6.11/4.32 tff(3032,plain,
% 6.11/4.32 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3033,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_46')).
% 6.11/4.32 tff(3034,plain,
% 6.11/4.32 (nextState(constB46, constB47)),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3033, 3032])).
% 6.11/4.32 tff(3035,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3036,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3037,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47)))))),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3036, 3035])).
% 6.11/4.32 tff(3038,plain,
% 6.11/4.32 (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3037, 3034, 273])).
% 6.11/4.32 tff(3039,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3040,plain,
% 6.11/4.32 (((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47)))))) <=> ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3041,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))))),
% 6.11/4.32 inference(monotonicity,[status(thm)],[3040])).
% 6.11/4.32 tff(3042,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 6.11/4.32 inference(transitivity,[status(thm)],[3041, 3039])).
% 6.11/4.32 tff(3043,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3044,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3043, 3042])).
% 6.11/4.32 tff(3045,plain,
% 6.11/4.32 (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3044, 3034, 293])).
% 6.11/4.32 tff(3046,plain,
% 6.11/4.32 ((~v1(constB47)) <=> (~v1(constB47))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3047,axiom,(~v1(constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_47')).
% 6.11/4.32 tff(3048,plain,
% 6.11/4.32 (~v1(constB47)),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3047, 3046])).
% 6.11/4.32 tff(3049,plain,
% 6.11/4.32 (((~v1(constB47)) | (~v102(constB47))) | v1(constB47)),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3050,plain,
% 6.11/4.32 ((~v1(constB47)) | (~v102(constB47))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3049, 3048])).
% 6.11/4.32 tff(3051,plain,
% 6.11/4.32 ((~(v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))) | (~v101(constB47)) | (~((~v1(constB47)) | (~v102(constB47))))),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3052,plain,
% 6.11/4.32 ((~(v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))) | (~v101(constB47))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3051, 3050])).
% 6.11/4.32 tff(3053,plain,
% 6.11/4.32 (~v101(constB47)),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3052, 3045])).
% 6.11/4.32 tff(3054,plain,
% 6.11/4.32 (((~v101(constB47)) | (~v110(constB47))) | v101(constB47)),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3055,plain,
% 6.11/4.32 ((~v101(constB47)) | (~v110(constB47))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3054, 3053])).
% 6.11/4.32 tff(3056,plain,
% 6.11/4.32 ((~(v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47)))))) | (~v100(constB47)) | (~((~v101(constB47)) | (~v110(constB47))))),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3057,plain,
% 6.11/4.32 (~v100(constB47)),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3056, 3055, 3038])).
% 6.11/4.32 tff(3058,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3059,plain,
% 6.11/4.32 ((v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 0)) <=> v90(constB46, 0))))) <=> (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3060,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0))))))),
% 6.11/4.32 inference(monotonicity,[status(thm)],[3059])).
% 6.11/4.32 tff(3061,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))))),
% 6.11/4.32 inference(transitivity,[status(thm)],[3060, 3058])).
% 6.11/4.32 tff(3062,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3063,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0))))),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 6.11/4.32 tff(3064,plain,
% 6.11/4.32 (v100(constB47) | (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0))))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3063, 3034, 325])).
% 6.11/4.32 tff(3065,plain,
% 6.11/4.32 (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3064, 3057])).
% 6.11/4.32 tff(3066,plain,
% 6.11/4.32 ((((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0))) | (~((~v90(constB47, 2)) <=> v90(constB46, 2)))),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3067,plain,
% 6.11/4.32 (~((~v90(constB47, 2)) <=> v90(constB46, 2))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3066, 3065])).
% 6.11/4.32 tff(3068,plain,
% 6.11/4.32 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3069,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_45')).
% 6.11/4.32 tff(3070,plain,
% 6.11/4.32 (nextState(constB45, constB46)),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3069, 3068])).
% 6.11/4.32 tff(3071,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB45, constB46)) | (~(((~v129(constB46, 2)) <=> v127(constB45, 2)) | ((~v129(constB46, 1)) <=> v127(constB45, 1)) | ((~v129(constB46, 0)) <=> v127(constB45, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB45, constB46)) | (~(((~v129(constB46, 2)) <=> v127(constB45, 2)) | ((~v129(constB46, 1)) <=> v127(constB45, 1)) | ((~v129(constB46, 0)) <=> v127(constB45, 0)))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3072,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB45, constB46)) | (~(((~v129(constB46, 2)) <=> v127(constB45, 2)) | ((~v129(constB46, 1)) <=> v127(constB45, 1)) | ((~v129(constB46, 0)) <=> v127(constB45, 0)))))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3073,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB45, constB46)) | (~(((~v129(constB46, 2)) <=> v127(constB45, 2)) | ((~v129(constB46, 1)) <=> v127(constB45, 1)) | ((~v129(constB46, 0)) <=> v127(constB45, 0))))),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3072, 3071])).
% 6.11/4.32 tff(3074,plain,
% 6.11/4.32 (~(((~v129(constB46, 2)) <=> v127(constB45, 2)) | ((~v129(constB46, 1)) <=> v127(constB45, 1)) | ((~v129(constB46, 0)) <=> v127(constB45, 0)))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3073, 3070, 348])).
% 6.11/4.32 tff(3075,plain,
% 6.11/4.32 ((((~v129(constB46, 2)) <=> v127(constB45, 2)) | ((~v129(constB46, 1)) <=> v127(constB45, 1)) | ((~v129(constB46, 0)) <=> v127(constB45, 0))) | (~((~v129(constB46, 2)) <=> v127(constB45, 2)))),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3076,plain,
% 6.11/4.32 (~((~v129(constB46, 2)) <=> v127(constB45, 2))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3075, 3074])).
% 6.11/4.32 tff(3077,plain,
% 6.11/4.32 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB45) <=> v26(constB45))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3078,plain,
% 6.11/4.32 (v111(constB45) <=> v26(constB45)),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3077, 367])).
% 6.11/4.32 tff(3079,plain,
% 6.11/4.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB45))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3080,plain,
% 6.11/4.32 (~v26(constB45)),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3079, 379])).
% 6.11/4.32 tff(3081,plain,
% 6.11/4.32 ((~(v111(constB45) <=> v26(constB45))) | (~v111(constB45)) | v26(constB45)),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3082,plain,
% 6.11/4.32 ((~(v111(constB45) <=> v26(constB45))) | (~v111(constB45))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3081, 3080])).
% 6.11/4.32 tff(3083,plain,
% 6.11/4.32 (~v111(constB45)),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3082, 3078])).
% 6.11/4.32 tff(3084,plain,
% 6.11/4.32 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB45) | (~(((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB45) | (~(((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0)))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3085,plain,
% 6.11/4.32 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB45) | (~(((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0)))))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3086,plain,
% 6.11/4.32 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB45) | (~(((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0))))),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 6.11/4.32 tff(3087,plain,
% 6.11/4.32 (v111(constB45) | (~(((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0))))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3086, 397])).
% 6.11/4.32 tff(3088,plain,
% 6.11/4.32 (~(((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0)))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3087, 3083])).
% 6.11/4.32 tff(3089,plain,
% 6.11/4.32 ((((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0))) | (~((~v127(constB45, 2)) <=> v130(constB45, 2)))),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3090,plain,
% 6.11/4.32 (~((~v127(constB45, 2)) <=> v130(constB45, 2))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3089, 3088])).
% 6.11/4.32 tff(3091,plain,
% 6.11/4.32 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 1) | v90(constB45, 2))))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3092,plain,
% 6.11/4.32 (v119(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 1) | v90(constB45, 2)))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3091, 491])).
% 6.11/4.32 tff(3093,plain,
% 6.11/4.32 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3094,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_44')).
% 6.11/4.32 tff(3095,plain,
% 6.11/4.32 (nextState(constB44, constB45)),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3094, 3093])).
% 6.11/4.32 tff(3096,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3097,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3098,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45)))))),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3097, 3096])).
% 6.11/4.32 tff(3099,plain,
% 6.11/4.32 (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3098, 3095, 273])).
% 6.11/4.32 tff(3100,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3101,plain,
% 6.11/4.32 (((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45)))))) <=> ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3102,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))))),
% 6.11/4.32 inference(monotonicity,[status(thm)],[3101])).
% 6.11/4.32 tff(3103,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 6.11/4.32 inference(transitivity,[status(thm)],[3102, 3100])).
% 6.11/4.32 tff(3104,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))),
% 6.11/4.32 inference(quant_inst,[status(thm)],[])).
% 6.11/4.32 tff(3105,plain,
% 6.11/4.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3104, 3103])).
% 6.11/4.32 tff(3106,plain,
% 6.11/4.32 (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3105, 3095, 293])).
% 6.11/4.32 tff(3107,plain,
% 6.11/4.32 ((~v1(constB45)) <=> (~v1(constB45))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3108,axiom,(~v1(constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_45')).
% 6.11/4.32 tff(3109,plain,
% 6.11/4.32 (~v1(constB45)),
% 6.11/4.32 inference(modus_ponens,[status(thm)],[3108, 3107])).
% 6.11/4.32 tff(3110,plain,
% 6.11/4.32 (((~v1(constB45)) | (~v102(constB45))) | v1(constB45)),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3111,plain,
% 6.11/4.32 ((~v1(constB45)) | (~v102(constB45))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3110, 3109])).
% 6.11/4.32 tff(3112,plain,
% 6.11/4.32 ((~(v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))) | (~v101(constB45)) | (~((~v1(constB45)) | (~v102(constB45))))),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3113,plain,
% 6.11/4.32 ((~(v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))) | (~v101(constB45))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3112, 3111])).
% 6.11/4.32 tff(3114,plain,
% 6.11/4.32 (~v101(constB45)),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3113, 3106])).
% 6.11/4.32 tff(3115,plain,
% 6.11/4.32 (((~v101(constB45)) | (~v110(constB45))) | v101(constB45)),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3116,plain,
% 6.11/4.32 ((~v101(constB45)) | (~v110(constB45))),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3115, 3114])).
% 6.11/4.32 tff(3117,plain,
% 6.11/4.32 ((~(v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45)))))) | (~v100(constB45)) | (~((~v101(constB45)) | (~v110(constB45))))),
% 6.11/4.32 inference(tautology,[status(thm)],[])).
% 6.11/4.32 tff(3118,plain,
% 6.11/4.32 (~v100(constB45)),
% 6.11/4.32 inference(unit_resolution,[status(thm)],[3117, 3116, 3099])).
% 6.11/4.32 tff(3119,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3120,plain,
% 6.11/4.32 ((v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 0)) <=> v90(constB44, 0))))) <=> (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))))),
% 6.11/4.32 inference(rewrite,[status(thm)],[])).
% 6.11/4.32 tff(3121,plain,
% 6.11/4.32 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0))))))),
% 6.11/4.33 inference(monotonicity,[status(thm)],[3120])).
% 6.11/4.33 tff(3122,plain,
% 6.11/4.33 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))))),
% 6.11/4.33 inference(transitivity,[status(thm)],[3121, 3119])).
% 6.11/4.33 tff(3123,plain,
% 6.11/4.33 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))))),
% 6.11/4.33 inference(quant_inst,[status(thm)],[])).
% 6.11/4.33 tff(3124,plain,
% 6.11/4.33 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0))))),
% 6.11/4.33 inference(modus_ponens,[status(thm)],[3123, 3122])).
% 6.11/4.33 tff(3125,plain,
% 6.11/4.33 (v100(constB45) | (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0))))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3124, 3095, 325])).
% 6.11/4.33 tff(3126,plain,
% 6.11/4.33 (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3125, 3118])).
% 6.11/4.33 tff(3127,plain,
% 6.11/4.33 ((((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0))) | (~((~v90(constB45, 2)) <=> v90(constB44, 2)))),
% 6.11/4.33 inference(tautology,[status(thm)],[])).
% 6.11/4.33 tff(3128,plain,
% 6.11/4.33 (~((~v90(constB45, 2)) <=> v90(constB44, 2))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3127, 3126])).
% 6.11/4.33 tff(3129,plain,
% 6.11/4.33 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 6.11/4.33 inference(rewrite,[status(thm)],[])).
% 6.11/4.33 tff(3130,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_43')).
% 6.11/4.33 tff(3131,plain,
% 6.11/4.33 (nextState(constB43, constB44)),
% 6.11/4.33 inference(modus_ponens,[status(thm)],[3130, 3129])).
% 6.11/4.33 tff(3132,plain,
% 6.11/4.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB43, constB44)) | (~(((~v129(constB44, 2)) <=> v127(constB43, 2)) | ((~v129(constB44, 1)) <=> v127(constB43, 1)) | ((~v129(constB44, 0)) <=> v127(constB43, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB43, constB44)) | (~(((~v129(constB44, 2)) <=> v127(constB43, 2)) | ((~v129(constB44, 1)) <=> v127(constB43, 1)) | ((~v129(constB44, 0)) <=> v127(constB43, 0)))))),
% 6.11/4.33 inference(rewrite,[status(thm)],[])).
% 6.11/4.33 tff(3133,plain,
% 6.11/4.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB43, constB44)) | (~(((~v129(constB44, 2)) <=> v127(constB43, 2)) | ((~v129(constB44, 1)) <=> v127(constB43, 1)) | ((~v129(constB44, 0)) <=> v127(constB43, 0)))))),
% 6.11/4.33 inference(quant_inst,[status(thm)],[])).
% 6.11/4.33 tff(3134,plain,
% 6.11/4.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB43, constB44)) | (~(((~v129(constB44, 2)) <=> v127(constB43, 2)) | ((~v129(constB44, 1)) <=> v127(constB43, 1)) | ((~v129(constB44, 0)) <=> v127(constB43, 0))))),
% 6.11/4.33 inference(modus_ponens,[status(thm)],[3133, 3132])).
% 6.11/4.33 tff(3135,plain,
% 6.11/4.33 (~(((~v129(constB44, 2)) <=> v127(constB43, 2)) | ((~v129(constB44, 1)) <=> v127(constB43, 1)) | ((~v129(constB44, 0)) <=> v127(constB43, 0)))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3134, 3131, 348])).
% 6.11/4.33 tff(3136,plain,
% 6.11/4.33 ((((~v129(constB44, 2)) <=> v127(constB43, 2)) | ((~v129(constB44, 1)) <=> v127(constB43, 1)) | ((~v129(constB44, 0)) <=> v127(constB43, 0))) | (~((~v129(constB44, 2)) <=> v127(constB43, 2)))),
% 6.11/4.33 inference(tautology,[status(thm)],[])).
% 6.11/4.33 tff(3137,plain,
% 6.11/4.33 (~((~v129(constB44, 2)) <=> v127(constB43, 2))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3136, 3135])).
% 6.11/4.33 tff(3138,plain,
% 6.11/4.33 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB43) <=> v26(constB43))),
% 6.11/4.33 inference(quant_inst,[status(thm)],[])).
% 6.11/4.33 tff(3139,plain,
% 6.11/4.33 (v111(constB43) <=> v26(constB43)),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3138, 367])).
% 6.11/4.33 tff(3140,plain,
% 6.11/4.33 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB43))),
% 6.11/4.33 inference(quant_inst,[status(thm)],[])).
% 6.11/4.33 tff(3141,plain,
% 6.11/4.33 (~v26(constB43)),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3140, 379])).
% 6.11/4.33 tff(3142,plain,
% 6.11/4.33 ((~(v111(constB43) <=> v26(constB43))) | (~v111(constB43)) | v26(constB43)),
% 6.11/4.33 inference(tautology,[status(thm)],[])).
% 6.11/4.33 tff(3143,plain,
% 6.11/4.33 ((~(v111(constB43) <=> v26(constB43))) | (~v111(constB43))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3142, 3141])).
% 6.11/4.33 tff(3144,plain,
% 6.11/4.33 (~v111(constB43)),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3143, 3139])).
% 6.11/4.33 tff(3145,plain,
% 6.11/4.33 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB43) | (~(((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB43) | (~(((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0)))))),
% 6.11/4.33 inference(rewrite,[status(thm)],[])).
% 6.11/4.33 tff(3146,plain,
% 6.11/4.33 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB43) | (~(((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0)))))),
% 6.11/4.33 inference(quant_inst,[status(thm)],[])).
% 6.11/4.33 tff(3147,plain,
% 6.11/4.33 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB43) | (~(((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0))))),
% 6.11/4.33 inference(modus_ponens,[status(thm)],[3146, 3145])).
% 6.11/4.33 tff(3148,plain,
% 6.11/4.33 (v111(constB43) | (~(((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0))))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3147, 397])).
% 6.11/4.33 tff(3149,plain,
% 6.11/4.33 (~(((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0)))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3148, 3144])).
% 6.11/4.33 tff(3150,plain,
% 6.11/4.33 ((((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0))) | (~((~v127(constB43, 2)) <=> v130(constB43, 2)))),
% 6.11/4.33 inference(tautology,[status(thm)],[])).
% 6.11/4.33 tff(3151,plain,
% 6.11/4.33 (~((~v127(constB43, 2)) <=> v130(constB43, 2))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3150, 3149])).
% 6.11/4.33 tff(3152,plain,
% 6.11/4.33 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB43) <=> (~(v90(constB43, 1) | v90(constB43, 0) | (~v90(constB43, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB43) <=> (~(v90(constB43, 1) | v90(constB43, 0) | (~v90(constB43, 2))))))),
% 6.11/4.33 inference(rewrite,[status(thm)],[])).
% 6.11/4.33 tff(3153,plain,
% 6.11/4.33 ((v123(constB43) <=> (~(v90(constB43, 0) | v90(constB43, 1) | (~v90(constB43, 2))))) <=> (v123(constB43) <=> (~(v90(constB43, 1) | v90(constB43, 0) | (~v90(constB43, 2)))))),
% 6.11/4.33 inference(rewrite,[status(thm)],[])).
% 6.11/4.33 tff(3154,plain,
% 6.11/4.33 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB43) <=> (~(v90(constB43, 0) | v90(constB43, 1) | (~v90(constB43, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB43) <=> (~(v90(constB43, 1) | v90(constB43, 0) | (~v90(constB43, 2))))))),
% 6.11/4.33 inference(monotonicity,[status(thm)],[3153])).
% 6.11/4.33 tff(3155,plain,
% 6.11/4.33 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB43) <=> (~(v90(constB43, 0) | v90(constB43, 1) | (~v90(constB43, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB43) <=> (~(v90(constB43, 1) | v90(constB43, 0) | (~v90(constB43, 2))))))),
% 6.11/4.33 inference(transitivity,[status(thm)],[3154, 3152])).
% 6.11/4.33 tff(3156,plain,
% 6.11/4.33 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB43) <=> (~(v90(constB43, 0) | v90(constB43, 1) | (~v90(constB43, 2)))))),
% 6.11/4.33 inference(quant_inst,[status(thm)],[])).
% 6.11/4.33 tff(3157,plain,
% 6.11/4.33 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB43) <=> (~(v90(constB43, 1) | v90(constB43, 0) | (~v90(constB43, 2)))))),
% 6.11/4.33 inference(modus_ponens,[status(thm)],[3156, 3155])).
% 6.11/4.33 tff(3158,plain,
% 6.11/4.33 (v123(constB43) <=> (~(v90(constB43, 1) | v90(constB43, 0) | (~v90(constB43, 2))))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3157, 565])).
% 6.11/4.33 tff(3159,plain,
% 6.11/4.33 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 6.11/4.33 inference(rewrite,[status(thm)],[])).
% 6.11/4.33 tff(3160,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_42')).
% 6.11/4.33 tff(3161,plain,
% 6.11/4.33 (nextState(constB42, constB43)),
% 6.11/4.33 inference(modus_ponens,[status(thm)],[3160, 3159])).
% 6.11/4.33 tff(3162,plain,
% 6.11/4.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))),
% 6.11/4.33 inference(rewrite,[status(thm)],[])).
% 6.11/4.33 tff(3163,plain,
% 6.11/4.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))),
% 6.11/4.33 inference(quant_inst,[status(thm)],[])).
% 6.11/4.33 tff(3164,plain,
% 6.11/4.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43)))))),
% 6.11/4.33 inference(modus_ponens,[status(thm)],[3163, 3162])).
% 6.11/4.33 tff(3165,plain,
% 6.11/4.33 (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3164, 3161, 273])).
% 6.11/4.33 tff(3166,plain,
% 6.11/4.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 6.11/4.33 inference(rewrite,[status(thm)],[])).
% 6.11/4.33 tff(3167,plain,
% 6.11/4.33 (((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43)))))) <=> ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 6.11/4.33 inference(rewrite,[status(thm)],[])).
% 6.11/4.33 tff(3168,plain,
% 6.11/4.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))))),
% 6.11/4.33 inference(monotonicity,[status(thm)],[3167])).
% 6.11/4.33 tff(3169,plain,
% 6.11/4.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 6.11/4.33 inference(transitivity,[status(thm)],[3168, 3166])).
% 6.11/4.33 tff(3170,plain,
% 6.11/4.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))),
% 6.11/4.33 inference(quant_inst,[status(thm)],[])).
% 6.11/4.33 tff(3171,plain,
% 6.11/4.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))),
% 6.11/4.33 inference(modus_ponens,[status(thm)],[3170, 3169])).
% 6.11/4.33 tff(3172,plain,
% 6.11/4.33 (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3171, 3161, 293])).
% 6.11/4.33 tff(3173,plain,
% 6.11/4.33 ((~v1(constB43)) <=> (~v1(constB43))),
% 6.11/4.33 inference(rewrite,[status(thm)],[])).
% 6.11/4.33 tff(3174,axiom,(~v1(constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_43')).
% 6.11/4.33 tff(3175,plain,
% 6.11/4.33 (~v1(constB43)),
% 6.11/4.33 inference(modus_ponens,[status(thm)],[3174, 3173])).
% 6.11/4.33 tff(3176,plain,
% 6.11/4.33 (((~v1(constB43)) | (~v102(constB43))) | v1(constB43)),
% 6.11/4.33 inference(tautology,[status(thm)],[])).
% 6.11/4.33 tff(3177,plain,
% 6.11/4.33 ((~v1(constB43)) | (~v102(constB43))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3176, 3175])).
% 6.11/4.33 tff(3178,plain,
% 6.11/4.33 ((~(v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))) | (~v101(constB43)) | (~((~v1(constB43)) | (~v102(constB43))))),
% 6.11/4.33 inference(tautology,[status(thm)],[])).
% 6.11/4.33 tff(3179,plain,
% 6.11/4.33 ((~(v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))) | (~v101(constB43))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3178, 3177])).
% 6.11/4.33 tff(3180,plain,
% 6.11/4.33 (~v101(constB43)),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3179, 3172])).
% 6.11/4.33 tff(3181,plain,
% 6.11/4.33 (((~v101(constB43)) | (~v110(constB43))) | v101(constB43)),
% 6.11/4.33 inference(tautology,[status(thm)],[])).
% 6.11/4.33 tff(3182,plain,
% 6.11/4.33 ((~v101(constB43)) | (~v110(constB43))),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3181, 3180])).
% 6.11/4.33 tff(3183,plain,
% 6.11/4.33 ((~(v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43)))))) | (~v100(constB43)) | (~((~v101(constB43)) | (~v110(constB43))))),
% 6.11/4.33 inference(tautology,[status(thm)],[])).
% 6.11/4.33 tff(3184,plain,
% 6.11/4.33 (~v100(constB43)),
% 6.11/4.33 inference(unit_resolution,[status(thm)],[3183, 3182, 3165])).
% 6.11/4.33 tff(3185,plain,
% 6.11/4.33 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))))),
% 6.14/4.33 inference(rewrite,[status(thm)],[])).
% 6.14/4.33 tff(3186,plain,
% 6.14/4.33 ((v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 0)) <=> v90(constB42, 0))))) <=> (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))))),
% 6.14/4.33 inference(rewrite,[status(thm)],[])).
% 6.14/4.33 tff(3187,plain,
% 6.14/4.33 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0))))))),
% 6.14/4.33 inference(monotonicity,[status(thm)],[3186])).
% 6.14/4.33 tff(3188,plain,
% 6.14/4.33 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))))),
% 6.14/4.33 inference(transitivity,[status(thm)],[3187, 3185])).
% 6.14/4.33 tff(3189,plain,
% 6.14/4.33 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))))),
% 6.14/4.33 inference(quant_inst,[status(thm)],[])).
% 6.14/4.33 tff(3190,plain,
% 6.14/4.33 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0))))),
% 6.14/4.33 inference(modus_ponens,[status(thm)],[3189, 3188])).
% 6.14/4.33 tff(3191,plain,
% 6.14/4.33 (v100(constB43) | (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0))))),
% 6.14/4.33 inference(unit_resolution,[status(thm)],[3190, 3161, 325])).
% 6.14/4.33 tff(3192,plain,
% 6.14/4.33 (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))),
% 6.14/4.33 inference(unit_resolution,[status(thm)],[3191, 3184])).
% 6.14/4.33 tff(3193,plain,
% 6.14/4.33 ((((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0))) | (~((~v90(constB43, 2)) <=> v90(constB42, 2)))),
% 6.14/4.33 inference(tautology,[status(thm)],[])).
% 6.14/4.33 tff(3194,plain,
% 6.14/4.33 (~((~v90(constB43, 2)) <=> v90(constB42, 2))),
% 6.14/4.33 inference(unit_resolution,[status(thm)],[3193, 3192])).
% 6.14/4.33 tff(3195,plain,
% 6.14/4.33 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 6.14/4.33 inference(rewrite,[status(thm)],[])).
% 6.14/4.33 tff(3196,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_41')).
% 6.14/4.33 tff(3197,plain,
% 6.14/4.33 (nextState(constB41, constB42)),
% 6.14/4.33 inference(modus_ponens,[status(thm)],[3196, 3195])).
% 6.14/4.33 tff(3198,plain,
% 6.14/4.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB41, constB42)) | (~(((~v129(constB42, 2)) <=> v127(constB41, 2)) | ((~v129(constB42, 1)) <=> v127(constB41, 1)) | ((~v129(constB42, 0)) <=> v127(constB41, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB41, constB42)) | (~(((~v129(constB42, 2)) <=> v127(constB41, 2)) | ((~v129(constB42, 1)) <=> v127(constB41, 1)) | ((~v129(constB42, 0)) <=> v127(constB41, 0)))))),
% 6.14/4.33 inference(rewrite,[status(thm)],[])).
% 6.14/4.33 tff(3199,plain,
% 6.14/4.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB41, constB42)) | (~(((~v129(constB42, 2)) <=> v127(constB41, 2)) | ((~v129(constB42, 1)) <=> v127(constB41, 1)) | ((~v129(constB42, 0)) <=> v127(constB41, 0)))))),
% 6.14/4.33 inference(quant_inst,[status(thm)],[])).
% 6.14/4.33 tff(3200,plain,
% 6.14/4.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB41, constB42)) | (~(((~v129(constB42, 2)) <=> v127(constB41, 2)) | ((~v129(constB42, 1)) <=> v127(constB41, 1)) | ((~v129(constB42, 0)) <=> v127(constB41, 0))))),
% 6.14/4.33 inference(modus_ponens,[status(thm)],[3199, 3198])).
% 6.14/4.33 tff(3201,plain,
% 6.14/4.33 (~(((~v129(constB42, 2)) <=> v127(constB41, 2)) | ((~v129(constB42, 1)) <=> v127(constB41, 1)) | ((~v129(constB42, 0)) <=> v127(constB41, 0)))),
% 6.14/4.33 inference(unit_resolution,[status(thm)],[3200, 3197, 348])).
% 6.14/4.33 tff(3202,plain,
% 6.14/4.33 ((((~v129(constB42, 2)) <=> v127(constB41, 2)) | ((~v129(constB42, 1)) <=> v127(constB41, 1)) | ((~v129(constB42, 0)) <=> v127(constB41, 0))) | (~((~v129(constB42, 2)) <=> v127(constB41, 2)))),
% 6.14/4.33 inference(tautology,[status(thm)],[])).
% 6.14/4.33 tff(3203,plain,
% 6.14/4.33 (~((~v129(constB42, 2)) <=> v127(constB41, 2))),
% 6.14/4.33 inference(unit_resolution,[status(thm)],[3202, 3201])).
% 6.14/4.33 tff(3204,plain,
% 6.14/4.33 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB41) <=> v26(constB41))),
% 6.14/4.33 inference(quant_inst,[status(thm)],[])).
% 6.14/4.33 tff(3205,plain,
% 6.14/4.33 (v111(constB41) <=> v26(constB41)),
% 6.14/4.33 inference(unit_resolution,[status(thm)],[3204, 367])).
% 6.14/4.33 tff(3206,plain,
% 6.14/4.33 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB41))),
% 6.14/4.33 inference(quant_inst,[status(thm)],[])).
% 6.14/4.33 tff(3207,plain,
% 6.14/4.33 (~v26(constB41)),
% 6.14/4.33 inference(unit_resolution,[status(thm)],[3206, 379])).
% 6.14/4.33 tff(3208,plain,
% 6.14/4.33 ((~(v111(constB41) <=> v26(constB41))) | (~v111(constB41)) | v26(constB41)),
% 6.14/4.33 inference(tautology,[status(thm)],[])).
% 6.14/4.33 tff(3209,plain,
% 6.14/4.33 ((~(v111(constB41) <=> v26(constB41))) | (~v111(constB41))),
% 6.14/4.33 inference(unit_resolution,[status(thm)],[3208, 3207])).
% 6.14/4.33 tff(3210,plain,
% 6.14/4.33 (~v111(constB41)),
% 6.14/4.33 inference(unit_resolution,[status(thm)],[3209, 3205])).
% 6.14/4.33 tff(3211,plain,
% 6.14/4.33 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB41) | (~(((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB41) | (~(((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0)))))),
% 6.14/4.33 inference(rewrite,[status(thm)],[])).
% 6.14/4.33 tff(3212,plain,
% 6.14/4.33 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB41) | (~(((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0)))))),
% 6.14/4.33 inference(quant_inst,[status(thm)],[])).
% 6.14/4.33 tff(3213,plain,
% 6.14/4.33 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB41) | (~(((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0))))),
% 6.14/4.33 inference(modus_ponens,[status(thm)],[3212, 3211])).
% 6.14/4.33 tff(3214,plain,
% 6.14/4.33 (v111(constB41) | (~(((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0))))),
% 6.14/4.33 inference(unit_resolution,[status(thm)],[3213, 397])).
% 6.14/4.33 tff(3215,plain,
% 6.14/4.33 (~(((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0)))),
% 6.14/4.33 inference(unit_resolution,[status(thm)],[3214, 3210])).
% 6.15/4.33 tff(3216,plain,
% 6.15/4.33 ((((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0))) | (~((~v127(constB41, 2)) <=> v130(constB41, 2)))),
% 6.15/4.33 inference(tautology,[status(thm)],[])).
% 6.15/4.33 tff(3217,plain,
% 6.15/4.33 (~((~v127(constB41, 2)) <=> v130(constB41, 2))),
% 6.15/4.33 inference(unit_resolution,[status(thm)],[3216, 3215])).
% 6.15/4.33 tff(3218,plain,
% 6.15/4.33 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB41) <=> (~(v90(constB41, 2) | (~v90(constB41, 1)) | (~v90(constB41, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB41) <=> (~(v90(constB41, 2) | (~v90(constB41, 1)) | (~v90(constB41, 0))))))),
% 6.15/4.33 inference(rewrite,[status(thm)],[])).
% 6.15/4.33 tff(3219,plain,
% 6.15/4.33 ((v122(constB41) <=> (~(v90(constB41, 2) | (~v90(constB41, 0)) | (~v90(constB41, 1))))) <=> (v122(constB41) <=> (~(v90(constB41, 2) | (~v90(constB41, 1)) | (~v90(constB41, 0)))))),
% 6.15/4.33 inference(rewrite,[status(thm)],[])).
% 6.15/4.33 tff(3220,plain,
% 6.15/4.33 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB41) <=> (~(v90(constB41, 2) | (~v90(constB41, 0)) | (~v90(constB41, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB41) <=> (~(v90(constB41, 2) | (~v90(constB41, 1)) | (~v90(constB41, 0))))))),
% 6.15/4.33 inference(monotonicity,[status(thm)],[3219])).
% 6.15/4.33 tff(3221,plain,
% 6.15/4.33 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB41) <=> (~(v90(constB41, 2) | (~v90(constB41, 0)) | (~v90(constB41, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB41) <=> (~(v90(constB41, 2) | (~v90(constB41, 1)) | (~v90(constB41, 0))))))),
% 6.15/4.33 inference(transitivity,[status(thm)],[3220, 3218])).
% 6.15/4.33 tff(3222,plain,
% 6.15/4.33 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB41) <=> (~(v90(constB41, 2) | (~v90(constB41, 0)) | (~v90(constB41, 1)))))),
% 6.15/4.33 inference(quant_inst,[status(thm)],[])).
% 6.15/4.33 tff(3223,plain,
% 6.15/4.33 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB41) <=> (~(v90(constB41, 2) | (~v90(constB41, 1)) | (~v90(constB41, 0)))))),
% 6.15/4.33 inference(modus_ponens,[status(thm)],[3222, 3221])).
% 6.15/4.33 tff(3224,plain,
% 6.15/4.33 (v122(constB41) <=> (~(v90(constB41, 2) | (~v90(constB41, 1)) | (~v90(constB41, 0))))),
% 6.15/4.33 inference(unit_resolution,[status(thm)],[3223, 644])).
% 6.15/4.33 tff(3225,plain,
% 6.15/4.33 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 6.15/4.33 inference(rewrite,[status(thm)],[])).
% 6.15/4.33 tff(3226,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_40')).
% 6.15/4.33 tff(3227,plain,
% 6.15/4.33 (nextState(constB40, constB41)),
% 6.15/4.33 inference(modus_ponens,[status(thm)],[3226, 3225])).
% 6.15/4.33 tff(3228,plain,
% 6.15/4.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))),
% 6.15/4.33 inference(rewrite,[status(thm)],[])).
% 6.15/4.33 tff(3229,plain,
% 6.15/4.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))),
% 6.15/4.33 inference(quant_inst,[status(thm)],[])).
% 6.15/4.33 tff(3230,plain,
% 6.15/4.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41)))))),
% 6.15/4.33 inference(modus_ponens,[status(thm)],[3229, 3228])).
% 6.15/4.33 tff(3231,plain,
% 6.15/4.33 (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))),
% 6.15/4.33 inference(unit_resolution,[status(thm)],[3230, 3227, 273])).
% 6.15/4.33 tff(3232,plain,
% 6.15/4.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 6.15/4.33 inference(rewrite,[status(thm)],[])).
% 6.15/4.33 tff(3233,plain,
% 6.15/4.33 (((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41)))))) <=> ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 6.15/4.33 inference(rewrite,[status(thm)],[])).
% 6.15/4.33 tff(3234,plain,
% 6.15/4.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))))),
% 6.15/4.33 inference(monotonicity,[status(thm)],[3233])).
% 6.15/4.33 tff(3235,plain,
% 6.15/4.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 6.15/4.33 inference(transitivity,[status(thm)],[3234, 3232])).
% 6.15/4.33 tff(3236,plain,
% 6.15/4.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))),
% 6.15/4.33 inference(quant_inst,[status(thm)],[])).
% 6.15/4.33 tff(3237,plain,
% 6.15/4.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))),
% 6.15/4.33 inference(modus_ponens,[status(thm)],[3236, 3235])).
% 6.15/4.33 tff(3238,plain,
% 6.15/4.33 (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))),
% 6.15/4.33 inference(unit_resolution,[status(thm)],[3237, 3227, 293])).
% 6.15/4.33 tff(3239,plain,
% 6.15/4.33 ((~v1(constB41)) <=> (~v1(constB41))),
% 6.15/4.33 inference(rewrite,[status(thm)],[])).
% 6.15/4.33 tff(3240,axiom,(~v1(constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_41')).
% 6.15/4.33 tff(3241,plain,
% 6.15/4.33 (~v1(constB41)),
% 6.15/4.33 inference(modus_ponens,[status(thm)],[3240, 3239])).
% 6.15/4.33 tff(3242,plain,
% 6.15/4.33 (((~v1(constB41)) | (~v102(constB41))) | v1(constB41)),
% 6.15/4.33 inference(tautology,[status(thm)],[])).
% 6.15/4.33 tff(3243,plain,
% 6.15/4.33 ((~v1(constB41)) | (~v102(constB41))),
% 6.15/4.33 inference(unit_resolution,[status(thm)],[3242, 3241])).
% 6.15/4.33 tff(3244,plain,
% 6.15/4.33 ((~(v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))) | (~v101(constB41)) | (~((~v1(constB41)) | (~v102(constB41))))),
% 6.15/4.33 inference(tautology,[status(thm)],[])).
% 6.15/4.33 tff(3245,plain,
% 6.15/4.33 ((~(v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))) | (~v101(constB41))),
% 6.15/4.33 inference(unit_resolution,[status(thm)],[3244, 3243])).
% 6.15/4.33 tff(3246,plain,
% 6.15/4.33 (~v101(constB41)),
% 6.15/4.33 inference(unit_resolution,[status(thm)],[3245, 3238])).
% 6.15/4.33 tff(3247,plain,
% 6.15/4.33 (((~v101(constB41)) | (~v110(constB41))) | v101(constB41)),
% 6.15/4.33 inference(tautology,[status(thm)],[])).
% 6.15/4.33 tff(3248,plain,
% 6.15/4.33 ((~v101(constB41)) | (~v110(constB41))),
% 6.15/4.33 inference(unit_resolution,[status(thm)],[3247, 3246])).
% 6.15/4.33 tff(3249,plain,
% 6.15/4.33 ((~(v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41)))))) | (~v100(constB41)) | (~((~v101(constB41)) | (~v110(constB41))))),
% 6.15/4.33 inference(tautology,[status(thm)],[])).
% 6.15/4.33 tff(3250,plain,
% 6.15/4.33 (~v100(constB41)),
% 6.15/4.33 inference(unit_resolution,[status(thm)],[3249, 3248, 3231])).
% 6.15/4.33 tff(3251,plain,
% 6.15/4.33 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))))),
% 6.15/4.33 inference(rewrite,[status(thm)],[])).
% 6.15/4.33 tff(3252,plain,
% 6.15/4.33 ((v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 0)) <=> v90(constB40, 0))))) <=> (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))))),
% 6.15/4.33 inference(rewrite,[status(thm)],[])).
% 6.15/4.33 tff(3253,plain,
% 6.15/4.33 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0))))))),
% 6.15/4.33 inference(monotonicity,[status(thm)],[3252])).
% 6.15/4.33 tff(3254,plain,
% 6.15/4.33 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))))),
% 6.15/4.33 inference(transitivity,[status(thm)],[3253, 3251])).
% 6.15/4.33 tff(3255,plain,
% 6.15/4.33 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3256,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0))))),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3255, 3254])).
% 6.15/4.34 tff(3257,plain,
% 6.15/4.34 (v100(constB41) | (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0))))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3256, 3227, 325])).
% 6.15/4.34 tff(3258,plain,
% 6.15/4.34 (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3257, 3250])).
% 6.15/4.34 tff(3259,plain,
% 6.15/4.34 ((((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0))) | (~((~v90(constB41, 2)) <=> v90(constB40, 2)))),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3260,plain,
% 6.15/4.34 (~((~v90(constB41, 2)) <=> v90(constB40, 2))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3259, 3258])).
% 6.15/4.34 tff(3261,plain,
% 6.15/4.34 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3262,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_39')).
% 6.15/4.34 tff(3263,plain,
% 6.15/4.34 (nextState(constB39, constB40)),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3262, 3261])).
% 6.15/4.34 tff(3264,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB39, constB40)) | (~(((~v129(constB40, 2)) <=> v127(constB39, 2)) | ((~v129(constB40, 1)) <=> v127(constB39, 1)) | ((~v129(constB40, 0)) <=> v127(constB39, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB39, constB40)) | (~(((~v129(constB40, 2)) <=> v127(constB39, 2)) | ((~v129(constB40, 1)) <=> v127(constB39, 1)) | ((~v129(constB40, 0)) <=> v127(constB39, 0)))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3265,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB39, constB40)) | (~(((~v129(constB40, 2)) <=> v127(constB39, 2)) | ((~v129(constB40, 1)) <=> v127(constB39, 1)) | ((~v129(constB40, 0)) <=> v127(constB39, 0)))))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3266,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB39, constB40)) | (~(((~v129(constB40, 2)) <=> v127(constB39, 2)) | ((~v129(constB40, 1)) <=> v127(constB39, 1)) | ((~v129(constB40, 0)) <=> v127(constB39, 0))))),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3265, 3264])).
% 6.15/4.34 tff(3267,plain,
% 6.15/4.34 (~(((~v129(constB40, 2)) <=> v127(constB39, 2)) | ((~v129(constB40, 1)) <=> v127(constB39, 1)) | ((~v129(constB40, 0)) <=> v127(constB39, 0)))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3266, 3263, 348])).
% 6.15/4.34 tff(3268,plain,
% 6.15/4.34 ((((~v129(constB40, 2)) <=> v127(constB39, 2)) | ((~v129(constB40, 1)) <=> v127(constB39, 1)) | ((~v129(constB40, 0)) <=> v127(constB39, 0))) | (~((~v129(constB40, 2)) <=> v127(constB39, 2)))),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3269,plain,
% 6.15/4.34 (~((~v129(constB40, 2)) <=> v127(constB39, 2))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3268, 3267])).
% 6.15/4.34 tff(3270,plain,
% 6.15/4.34 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB39) <=> v26(constB39))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3271,plain,
% 6.15/4.34 (v111(constB39) <=> v26(constB39)),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3270, 367])).
% 6.15/4.34 tff(3272,plain,
% 6.15/4.34 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB39))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3273,plain,
% 6.15/4.34 (~v26(constB39)),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3272, 379])).
% 6.15/4.34 tff(3274,plain,
% 6.15/4.34 ((~(v111(constB39) <=> v26(constB39))) | (~v111(constB39)) | v26(constB39)),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3275,plain,
% 6.15/4.34 ((~(v111(constB39) <=> v26(constB39))) | (~v111(constB39))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3274, 3273])).
% 6.15/4.34 tff(3276,plain,
% 6.15/4.34 (~v111(constB39)),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3275, 3271])).
% 6.15/4.34 tff(3277,plain,
% 6.15/4.34 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB39) | (~(((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB39) | (~(((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0)))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3278,plain,
% 6.15/4.34 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB39) | (~(((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0)))))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3279,plain,
% 6.15/4.34 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB39) | (~(((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0))))),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3278, 3277])).
% 6.15/4.34 tff(3280,plain,
% 6.15/4.34 (v111(constB39) | (~(((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0))))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3279, 397])).
% 6.15/4.34 tff(3281,plain,
% 6.15/4.34 (~(((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0)))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3280, 3276])).
% 6.15/4.34 tff(3282,plain,
% 6.15/4.34 ((((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0))) | (~((~v127(constB39, 2)) <=> v130(constB39, 2)))),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3283,plain,
% 6.15/4.34 (~((~v127(constB39, 2)) <=> v130(constB39, 2))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3282, 3281])).
% 6.15/4.34 tff(3284,plain,
% 6.15/4.34 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB39) <=> (~(v90(constB39, 2) | v90(constB39, 0) | (~v90(constB39, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB39) <=> (~(v90(constB39, 2) | v90(constB39, 0) | (~v90(constB39, 1))))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3285,plain,
% 6.15/4.34 ((v121(constB39) <=> (~(v90(constB39, 0) | v90(constB39, 2) | (~v90(constB39, 1))))) <=> (v121(constB39) <=> (~(v90(constB39, 2) | v90(constB39, 0) | (~v90(constB39, 1)))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3286,plain,
% 6.15/4.34 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB39) <=> (~(v90(constB39, 0) | v90(constB39, 2) | (~v90(constB39, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB39) <=> (~(v90(constB39, 2) | v90(constB39, 0) | (~v90(constB39, 1))))))),
% 6.15/4.34 inference(monotonicity,[status(thm)],[3285])).
% 6.15/4.34 tff(3287,plain,
% 6.15/4.34 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB39) <=> (~(v90(constB39, 0) | v90(constB39, 2) | (~v90(constB39, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB39) <=> (~(v90(constB39, 2) | v90(constB39, 0) | (~v90(constB39, 1))))))),
% 6.15/4.34 inference(transitivity,[status(thm)],[3286, 3284])).
% 6.15/4.34 tff(3288,plain,
% 6.15/4.34 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB39) <=> (~(v90(constB39, 0) | v90(constB39, 2) | (~v90(constB39, 1)))))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3289,plain,
% 6.15/4.34 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB39) <=> (~(v90(constB39, 2) | v90(constB39, 0) | (~v90(constB39, 1)))))),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3288, 3287])).
% 6.15/4.34 tff(3290,plain,
% 6.15/4.34 (v121(constB39) <=> (~(v90(constB39, 2) | v90(constB39, 0) | (~v90(constB39, 1))))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3289, 723])).
% 6.15/4.34 tff(3291,plain,
% 6.15/4.34 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3292,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_38')).
% 6.15/4.34 tff(3293,plain,
% 6.15/4.34 (nextState(constB38, constB39)),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3292, 3291])).
% 6.15/4.34 tff(3294,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3295,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3296,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39)))))),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3295, 3294])).
% 6.15/4.34 tff(3297,plain,
% 6.15/4.34 (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3296, 3293, 273])).
% 6.15/4.34 tff(3298,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3299,plain,
% 6.15/4.34 (((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39)))))) <=> ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3300,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))))),
% 6.15/4.34 inference(monotonicity,[status(thm)],[3299])).
% 6.15/4.34 tff(3301,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 6.15/4.34 inference(transitivity,[status(thm)],[3300, 3298])).
% 6.15/4.34 tff(3302,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3303,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3302, 3301])).
% 6.15/4.34 tff(3304,plain,
% 6.15/4.34 (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3303, 3293, 293])).
% 6.15/4.34 tff(3305,plain,
% 6.15/4.34 ((~v1(constB39)) <=> (~v1(constB39))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3306,axiom,(~v1(constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_39')).
% 6.15/4.34 tff(3307,plain,
% 6.15/4.34 (~v1(constB39)),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3306, 3305])).
% 6.15/4.34 tff(3308,plain,
% 6.15/4.34 (((~v1(constB39)) | (~v102(constB39))) | v1(constB39)),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3309,plain,
% 6.15/4.34 ((~v1(constB39)) | (~v102(constB39))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3308, 3307])).
% 6.15/4.34 tff(3310,plain,
% 6.15/4.34 ((~(v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))) | (~v101(constB39)) | (~((~v1(constB39)) | (~v102(constB39))))),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3311,plain,
% 6.15/4.34 ((~(v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))) | (~v101(constB39))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3310, 3309])).
% 6.15/4.34 tff(3312,plain,
% 6.15/4.34 (~v101(constB39)),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3311, 3304])).
% 6.15/4.34 tff(3313,plain,
% 6.15/4.34 (((~v101(constB39)) | (~v110(constB39))) | v101(constB39)),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3314,plain,
% 6.15/4.34 ((~v101(constB39)) | (~v110(constB39))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3313, 3312])).
% 6.15/4.34 tff(3315,plain,
% 6.15/4.34 ((~(v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39)))))) | (~v100(constB39)) | (~((~v101(constB39)) | (~v110(constB39))))),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3316,plain,
% 6.15/4.34 (~v100(constB39)),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3315, 3314, 3297])).
% 6.15/4.34 tff(3317,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3318,plain,
% 6.15/4.34 ((v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 0)) <=> v90(constB38, 0))))) <=> (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3319,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0))))))),
% 6.15/4.34 inference(monotonicity,[status(thm)],[3318])).
% 6.15/4.34 tff(3320,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))))),
% 6.15/4.34 inference(transitivity,[status(thm)],[3319, 3317])).
% 6.15/4.34 tff(3321,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3322,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0))))),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3321, 3320])).
% 6.15/4.34 tff(3323,plain,
% 6.15/4.34 (v100(constB39) | (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0))))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3322, 3293, 325])).
% 6.15/4.34 tff(3324,plain,
% 6.15/4.34 (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3323, 3316])).
% 6.15/4.34 tff(3325,plain,
% 6.15/4.34 ((((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0))) | (~((~v90(constB39, 2)) <=> v90(constB38, 2)))),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3326,plain,
% 6.15/4.34 (~((~v90(constB39, 2)) <=> v90(constB38, 2))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3325, 3324])).
% 6.15/4.34 tff(3327,plain,
% 6.15/4.34 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3328,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_37')).
% 6.15/4.34 tff(3329,plain,
% 6.15/4.34 (nextState(constB37, constB38)),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3328, 3327])).
% 6.15/4.34 tff(3330,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB37, constB38)) | (~(((~v129(constB38, 2)) <=> v127(constB37, 2)) | ((~v129(constB38, 1)) <=> v127(constB37, 1)) | ((~v129(constB38, 0)) <=> v127(constB37, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB37, constB38)) | (~(((~v129(constB38, 2)) <=> v127(constB37, 2)) | ((~v129(constB38, 1)) <=> v127(constB37, 1)) | ((~v129(constB38, 0)) <=> v127(constB37, 0)))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3331,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB37, constB38)) | (~(((~v129(constB38, 2)) <=> v127(constB37, 2)) | ((~v129(constB38, 1)) <=> v127(constB37, 1)) | ((~v129(constB38, 0)) <=> v127(constB37, 0)))))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3332,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB37, constB38)) | (~(((~v129(constB38, 2)) <=> v127(constB37, 2)) | ((~v129(constB38, 1)) <=> v127(constB37, 1)) | ((~v129(constB38, 0)) <=> v127(constB37, 0))))),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3331, 3330])).
% 6.15/4.34 tff(3333,plain,
% 6.15/4.34 (~(((~v129(constB38, 2)) <=> v127(constB37, 2)) | ((~v129(constB38, 1)) <=> v127(constB37, 1)) | ((~v129(constB38, 0)) <=> v127(constB37, 0)))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3332, 3329, 348])).
% 6.15/4.34 tff(3334,plain,
% 6.15/4.34 ((((~v129(constB38, 2)) <=> v127(constB37, 2)) | ((~v129(constB38, 1)) <=> v127(constB37, 1)) | ((~v129(constB38, 0)) <=> v127(constB37, 0))) | (~((~v129(constB38, 2)) <=> v127(constB37, 2)))),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3335,plain,
% 6.15/4.34 (~((~v129(constB38, 2)) <=> v127(constB37, 2))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3334, 3333])).
% 6.15/4.34 tff(3336,plain,
% 6.15/4.34 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB37) <=> v26(constB37))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3337,plain,
% 6.15/4.34 (v111(constB37) <=> v26(constB37)),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3336, 367])).
% 6.15/4.34 tff(3338,plain,
% 6.15/4.34 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB37))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3339,plain,
% 6.15/4.34 (~v26(constB37)),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3338, 379])).
% 6.15/4.34 tff(3340,plain,
% 6.15/4.34 ((~(v111(constB37) <=> v26(constB37))) | (~v111(constB37)) | v26(constB37)),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3341,plain,
% 6.15/4.34 ((~(v111(constB37) <=> v26(constB37))) | (~v111(constB37))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3340, 3339])).
% 6.15/4.34 tff(3342,plain,
% 6.15/4.34 (~v111(constB37)),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3341, 3337])).
% 6.15/4.34 tff(3343,plain,
% 6.15/4.34 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB37) | (~(((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB37) | (~(((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0)))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3344,plain,
% 6.15/4.34 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB37) | (~(((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0)))))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3345,plain,
% 6.15/4.34 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB37) | (~(((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0))))),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3344, 3343])).
% 6.15/4.34 tff(3346,plain,
% 6.15/4.34 (v111(constB37) | (~(((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0))))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3345, 397])).
% 6.15/4.34 tff(3347,plain,
% 6.15/4.34 (~(((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0)))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3346, 3342])).
% 6.15/4.34 tff(3348,plain,
% 6.15/4.34 ((((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0))) | (~((~v127(constB37, 2)) <=> v130(constB37, 2)))),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3349,plain,
% 6.15/4.34 (~((~v127(constB37, 2)) <=> v130(constB37, 2))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3348, 3347])).
% 6.15/4.34 tff(3350,plain,
% 6.15/4.34 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB37) <=> (~(v90(constB37, 1) | v90(constB37, 2) | (~v90(constB37, 0)))))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3351,plain,
% 6.15/4.34 (v120(constB37) <=> (~(v90(constB37, 1) | v90(constB37, 2) | (~v90(constB37, 0))))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3350, 417])).
% 6.15/4.34 tff(3352,plain,
% 6.15/4.34 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3353,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_36')).
% 6.15/4.34 tff(3354,plain,
% 6.15/4.34 (nextState(constB36, constB37)),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3353, 3352])).
% 6.15/4.34 tff(3355,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3356,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3357,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37)))))),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3356, 3355])).
% 6.15/4.34 tff(3358,plain,
% 6.15/4.34 (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3357, 3354, 273])).
% 6.15/4.34 tff(3359,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3360,plain,
% 6.15/4.34 (((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37)))))) <=> ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3361,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))))),
% 6.15/4.34 inference(monotonicity,[status(thm)],[3360])).
% 6.15/4.34 tff(3362,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 6.15/4.34 inference(transitivity,[status(thm)],[3361, 3359])).
% 6.15/4.34 tff(3363,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))),
% 6.15/4.34 inference(quant_inst,[status(thm)],[])).
% 6.15/4.34 tff(3364,plain,
% 6.15/4.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3363, 3362])).
% 6.15/4.34 tff(3365,plain,
% 6.15/4.34 (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3364, 3354, 293])).
% 6.15/4.34 tff(3366,plain,
% 6.15/4.34 ((~v1(constB37)) <=> (~v1(constB37))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3367,axiom,(~v1(constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_37')).
% 6.15/4.34 tff(3368,plain,
% 6.15/4.34 (~v1(constB37)),
% 6.15/4.34 inference(modus_ponens,[status(thm)],[3367, 3366])).
% 6.15/4.34 tff(3369,plain,
% 6.15/4.34 (((~v1(constB37)) | (~v102(constB37))) | v1(constB37)),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3370,plain,
% 6.15/4.34 ((~v1(constB37)) | (~v102(constB37))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3369, 3368])).
% 6.15/4.34 tff(3371,plain,
% 6.15/4.34 ((~(v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))) | (~v101(constB37)) | (~((~v1(constB37)) | (~v102(constB37))))),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3372,plain,
% 6.15/4.34 ((~(v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))) | (~v101(constB37))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3371, 3370])).
% 6.15/4.34 tff(3373,plain,
% 6.15/4.34 (~v101(constB37)),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3372, 3365])).
% 6.15/4.34 tff(3374,plain,
% 6.15/4.34 (((~v101(constB37)) | (~v110(constB37))) | v101(constB37)),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3375,plain,
% 6.15/4.34 ((~v101(constB37)) | (~v110(constB37))),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3374, 3373])).
% 6.15/4.34 tff(3376,plain,
% 6.15/4.34 ((~(v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37)))))) | (~v100(constB37)) | (~((~v101(constB37)) | (~v110(constB37))))),
% 6.15/4.34 inference(tautology,[status(thm)],[])).
% 6.15/4.34 tff(3377,plain,
% 6.15/4.34 (~v100(constB37)),
% 6.15/4.34 inference(unit_resolution,[status(thm)],[3376, 3375, 3358])).
% 6.15/4.34 tff(3378,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3379,plain,
% 6.15/4.34 ((v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 0)) <=> v90(constB36, 0))))) <=> (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))))),
% 6.15/4.34 inference(rewrite,[status(thm)],[])).
% 6.15/4.34 tff(3380,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0))))))),
% 6.15/4.34 inference(monotonicity,[status(thm)],[3379])).
% 6.15/4.34 tff(3381,plain,
% 6.15/4.34 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))))),
% 6.15/4.35 inference(transitivity,[status(thm)],[3380, 3378])).
% 6.15/4.35 tff(3382,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3383,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0))))),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3382, 3381])).
% 6.15/4.35 tff(3384,plain,
% 6.15/4.35 (v100(constB37) | (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0))))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3383, 3354, 325])).
% 6.15/4.35 tff(3385,plain,
% 6.15/4.35 (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3384, 3377])).
% 6.15/4.35 tff(3386,plain,
% 6.15/4.35 ((((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0))) | (~((~v90(constB37, 2)) <=> v90(constB36, 2)))),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3387,plain,
% 6.15/4.35 (~((~v90(constB37, 2)) <=> v90(constB36, 2))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3386, 3385])).
% 6.15/4.35 tff(3388,plain,
% 6.15/4.35 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3389,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_35')).
% 6.15/4.35 tff(3390,plain,
% 6.15/4.35 (nextState(constB35, constB36)),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3389, 3388])).
% 6.15/4.35 tff(3391,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB35, constB36)) | (~(((~v129(constB36, 2)) <=> v127(constB35, 2)) | ((~v129(constB36, 1)) <=> v127(constB35, 1)) | ((~v129(constB36, 0)) <=> v127(constB35, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB35, constB36)) | (~(((~v129(constB36, 2)) <=> v127(constB35, 2)) | ((~v129(constB36, 1)) <=> v127(constB35, 1)) | ((~v129(constB36, 0)) <=> v127(constB35, 0)))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3392,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB35, constB36)) | (~(((~v129(constB36, 2)) <=> v127(constB35, 2)) | ((~v129(constB36, 1)) <=> v127(constB35, 1)) | ((~v129(constB36, 0)) <=> v127(constB35, 0)))))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3393,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB35, constB36)) | (~(((~v129(constB36, 2)) <=> v127(constB35, 2)) | ((~v129(constB36, 1)) <=> v127(constB35, 1)) | ((~v129(constB36, 0)) <=> v127(constB35, 0))))),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3392, 3391])).
% 6.15/4.35 tff(3394,plain,
% 6.15/4.35 (~(((~v129(constB36, 2)) <=> v127(constB35, 2)) | ((~v129(constB36, 1)) <=> v127(constB35, 1)) | ((~v129(constB36, 0)) <=> v127(constB35, 0)))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3393, 3390, 348])).
% 6.15/4.35 tff(3395,plain,
% 6.15/4.35 ((((~v129(constB36, 2)) <=> v127(constB35, 2)) | ((~v129(constB36, 1)) <=> v127(constB35, 1)) | ((~v129(constB36, 0)) <=> v127(constB35, 0))) | (~((~v129(constB36, 2)) <=> v127(constB35, 2)))),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3396,plain,
% 6.15/4.35 (~((~v129(constB36, 2)) <=> v127(constB35, 2))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3395, 3394])).
% 6.15/4.35 tff(3397,plain,
% 6.15/4.35 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB35) <=> v26(constB35))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3398,plain,
% 6.15/4.35 (v111(constB35) <=> v26(constB35)),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3397, 367])).
% 6.15/4.35 tff(3399,plain,
% 6.15/4.35 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB35))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3400,plain,
% 6.15/4.35 (~v26(constB35)),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3399, 379])).
% 6.15/4.35 tff(3401,plain,
% 6.15/4.35 ((~(v111(constB35) <=> v26(constB35))) | (~v111(constB35)) | v26(constB35)),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3402,plain,
% 6.15/4.35 ((~(v111(constB35) <=> v26(constB35))) | (~v111(constB35))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3401, 3400])).
% 6.15/4.35 tff(3403,plain,
% 6.15/4.35 (~v111(constB35)),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3402, 3398])).
% 6.15/4.35 tff(3404,plain,
% 6.15/4.35 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB35) | (~(((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB35) | (~(((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0)))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3405,plain,
% 6.15/4.35 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB35) | (~(((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0)))))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3406,plain,
% 6.15/4.35 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB35) | (~(((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0))))),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3405, 3404])).
% 6.15/4.35 tff(3407,plain,
% 6.15/4.35 (v111(constB35) | (~(((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0))))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3406, 397])).
% 6.15/4.35 tff(3408,plain,
% 6.15/4.35 (~(((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0)))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3407, 3403])).
% 6.15/4.35 tff(3409,plain,
% 6.15/4.35 ((((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0))) | (~((~v127(constB35, 2)) <=> v130(constB35, 2)))),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3410,plain,
% 6.15/4.35 (~((~v127(constB35, 2)) <=> v130(constB35, 2))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3409, 3408])).
% 6.15/4.35 tff(3411,plain,
% 6.15/4.35 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB35) <=> (~(v90(constB35, 1) | v90(constB35, 2) | (~v90(constB35, 0)))))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3412,plain,
% 6.15/4.35 (v120(constB35) <=> (~(v90(constB35, 1) | v90(constB35, 2) | (~v90(constB35, 0))))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3411, 417])).
% 6.15/4.35 tff(3413,plain,
% 6.15/4.35 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3414,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_34')).
% 6.15/4.35 tff(3415,plain,
% 6.15/4.35 (nextState(constB34, constB35)),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3414, 3413])).
% 6.15/4.35 tff(3416,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3417,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3418,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35)))))),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3417, 3416])).
% 6.15/4.35 tff(3419,plain,
% 6.15/4.35 (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3418, 3415, 273])).
% 6.15/4.35 tff(3420,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3421,plain,
% 6.15/4.35 (((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35)))))) <=> ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3422,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))))),
% 6.15/4.35 inference(monotonicity,[status(thm)],[3421])).
% 6.15/4.35 tff(3423,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 6.15/4.35 inference(transitivity,[status(thm)],[3422, 3420])).
% 6.15/4.35 tff(3424,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3425,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3424, 3423])).
% 6.15/4.35 tff(3426,plain,
% 6.15/4.35 (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3425, 3415, 293])).
% 6.15/4.35 tff(3427,plain,
% 6.15/4.35 ((~v1(constB35)) <=> (~v1(constB35))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3428,axiom,(~v1(constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_35')).
% 6.15/4.35 tff(3429,plain,
% 6.15/4.35 (~v1(constB35)),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3428, 3427])).
% 6.15/4.35 tff(3430,plain,
% 6.15/4.35 (((~v1(constB35)) | (~v102(constB35))) | v1(constB35)),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3431,plain,
% 6.15/4.35 ((~v1(constB35)) | (~v102(constB35))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3430, 3429])).
% 6.15/4.35 tff(3432,plain,
% 6.15/4.35 ((~(v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))) | (~v101(constB35)) | (~((~v1(constB35)) | (~v102(constB35))))),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3433,plain,
% 6.15/4.35 ((~(v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))) | (~v101(constB35))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3432, 3431])).
% 6.15/4.35 tff(3434,plain,
% 6.15/4.35 (~v101(constB35)),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3433, 3426])).
% 6.15/4.35 tff(3435,plain,
% 6.15/4.35 (((~v101(constB35)) | (~v110(constB35))) | v101(constB35)),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3436,plain,
% 6.15/4.35 ((~v101(constB35)) | (~v110(constB35))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3435, 3434])).
% 6.15/4.35 tff(3437,plain,
% 6.15/4.35 ((~(v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35)))))) | (~v100(constB35)) | (~((~v101(constB35)) | (~v110(constB35))))),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3438,plain,
% 6.15/4.35 (~v100(constB35)),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3437, 3436, 3419])).
% 6.15/4.35 tff(3439,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3440,plain,
% 6.15/4.35 ((v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 0)) <=> v90(constB34, 0))))) <=> (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3441,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0))))))),
% 6.15/4.35 inference(monotonicity,[status(thm)],[3440])).
% 6.15/4.35 tff(3442,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))))),
% 6.15/4.35 inference(transitivity,[status(thm)],[3441, 3439])).
% 6.15/4.35 tff(3443,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3444,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0))))),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3443, 3442])).
% 6.15/4.35 tff(3445,plain,
% 6.15/4.35 (v100(constB35) | (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0))))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3444, 3415, 325])).
% 6.15/4.35 tff(3446,plain,
% 6.15/4.35 (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3445, 3438])).
% 6.15/4.35 tff(3447,plain,
% 6.15/4.35 ((((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0))) | (~((~v90(constB35, 0)) <=> v90(constB34, 0)))),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3448,plain,
% 6.15/4.35 (~((~v90(constB35, 0)) <=> v90(constB34, 0))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3447, 3446])).
% 6.15/4.35 tff(3449,plain,
% 6.15/4.35 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3450,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_33')).
% 6.15/4.35 tff(3451,plain,
% 6.15/4.35 (nextState(constB33, constB34)),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3450, 3449])).
% 6.15/4.35 tff(3452,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB33, constB34)) | (~(((~v129(constB34, 2)) <=> v127(constB33, 2)) | ((~v129(constB34, 1)) <=> v127(constB33, 1)) | ((~v129(constB34, 0)) <=> v127(constB33, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB33, constB34)) | (~(((~v129(constB34, 2)) <=> v127(constB33, 2)) | ((~v129(constB34, 1)) <=> v127(constB33, 1)) | ((~v129(constB34, 0)) <=> v127(constB33, 0)))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3453,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB33, constB34)) | (~(((~v129(constB34, 2)) <=> v127(constB33, 2)) | ((~v129(constB34, 1)) <=> v127(constB33, 1)) | ((~v129(constB34, 0)) <=> v127(constB33, 0)))))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3454,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB33, constB34)) | (~(((~v129(constB34, 2)) <=> v127(constB33, 2)) | ((~v129(constB34, 1)) <=> v127(constB33, 1)) | ((~v129(constB34, 0)) <=> v127(constB33, 0))))),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3453, 3452])).
% 6.15/4.35 tff(3455,plain,
% 6.15/4.35 (~(((~v129(constB34, 2)) <=> v127(constB33, 2)) | ((~v129(constB34, 1)) <=> v127(constB33, 1)) | ((~v129(constB34, 0)) <=> v127(constB33, 0)))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3454, 3451, 348])).
% 6.15/4.35 tff(3456,plain,
% 6.15/4.35 ((((~v129(constB34, 2)) <=> v127(constB33, 2)) | ((~v129(constB34, 1)) <=> v127(constB33, 1)) | ((~v129(constB34, 0)) <=> v127(constB33, 0))) | (~((~v129(constB34, 0)) <=> v127(constB33, 0)))),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3457,plain,
% 6.15/4.35 (~((~v129(constB34, 0)) <=> v127(constB33, 0))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3456, 3455])).
% 6.15/4.35 tff(3458,plain,
% 6.15/4.35 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB33) <=> v26(constB33))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3459,plain,
% 6.15/4.35 (v111(constB33) <=> v26(constB33)),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3458, 367])).
% 6.15/4.35 tff(3460,plain,
% 6.15/4.35 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB33))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3461,plain,
% 6.15/4.35 (~v26(constB33)),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3460, 379])).
% 6.15/4.35 tff(3462,plain,
% 6.15/4.35 ((~(v111(constB33) <=> v26(constB33))) | (~v111(constB33)) | v26(constB33)),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3463,plain,
% 6.15/4.35 ((~(v111(constB33) <=> v26(constB33))) | (~v111(constB33))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3462, 3461])).
% 6.15/4.35 tff(3464,plain,
% 6.15/4.35 (~v111(constB33)),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3463, 3459])).
% 6.15/4.35 tff(3465,plain,
% 6.15/4.35 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB33) | (~(((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB33) | (~(((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0)))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3466,plain,
% 6.15/4.35 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB33) | (~(((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0)))))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3467,plain,
% 6.15/4.35 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB33) | (~(((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0))))),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3466, 3465])).
% 6.15/4.35 tff(3468,plain,
% 6.15/4.35 (v111(constB33) | (~(((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0))))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3467, 397])).
% 6.15/4.35 tff(3469,plain,
% 6.15/4.35 (~(((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0)))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3468, 3464])).
% 6.15/4.35 tff(3470,plain,
% 6.15/4.35 ((((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0))) | (~((~v127(constB33, 0)) <=> v130(constB33, 0)))),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3471,plain,
% 6.15/4.35 (~((~v127(constB33, 0)) <=> v130(constB33, 0))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3470, 3469])).
% 6.15/4.35 tff(3472,plain,
% 6.15/4.35 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2))))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3473,plain,
% 6.15/4.35 ((v123(constB33) <=> (~(v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2))))) <=> (v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2)))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3474,plain,
% 6.15/4.35 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2))))))),
% 6.15/4.35 inference(monotonicity,[status(thm)],[3473])).
% 6.15/4.35 tff(3475,plain,
% 6.15/4.35 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2))))))),
% 6.15/4.35 inference(transitivity,[status(thm)],[3474, 3472])).
% 6.15/4.35 tff(3476,plain,
% 6.15/4.35 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)))))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3477,plain,
% 6.15/4.35 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2)))))),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3476, 3475])).
% 6.15/4.35 tff(3478,plain,
% 6.15/4.35 (v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2))))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3477, 565])).
% 6.15/4.35 tff(3479,plain,
% 6.15/4.35 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3480,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_32')).
% 6.15/4.35 tff(3481,plain,
% 6.15/4.35 (nextState(constB32, constB33)),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3480, 3479])).
% 6.15/4.35 tff(3482,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3483,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3484,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33)))))),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3483, 3482])).
% 6.15/4.35 tff(3485,plain,
% 6.15/4.35 (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3484, 3481, 273])).
% 6.15/4.35 tff(3486,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3487,plain,
% 6.15/4.35 (((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33)))))) <=> ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3488,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))))),
% 6.15/4.35 inference(monotonicity,[status(thm)],[3487])).
% 6.15/4.35 tff(3489,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 6.15/4.35 inference(transitivity,[status(thm)],[3488, 3486])).
% 6.15/4.35 tff(3490,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3491,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3490, 3489])).
% 6.15/4.35 tff(3492,plain,
% 6.15/4.35 (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3491, 3481, 293])).
% 6.15/4.35 tff(3493,plain,
% 6.15/4.35 ((~v1(constB33)) <=> (~v1(constB33))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3494,axiom,(~v1(constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_33')).
% 6.15/4.35 tff(3495,plain,
% 6.15/4.35 (~v1(constB33)),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3494, 3493])).
% 6.15/4.35 tff(3496,plain,
% 6.15/4.35 (((~v1(constB33)) | (~v102(constB33))) | v1(constB33)),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3497,plain,
% 6.15/4.35 ((~v1(constB33)) | (~v102(constB33))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3496, 3495])).
% 6.15/4.35 tff(3498,plain,
% 6.15/4.35 ((~(v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))) | (~v101(constB33)) | (~((~v1(constB33)) | (~v102(constB33))))),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3499,plain,
% 6.15/4.35 ((~(v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))) | (~v101(constB33))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3498, 3497])).
% 6.15/4.35 tff(3500,plain,
% 6.15/4.35 (~v101(constB33)),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3499, 3492])).
% 6.15/4.35 tff(3501,plain,
% 6.15/4.35 (((~v101(constB33)) | (~v110(constB33))) | v101(constB33)),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3502,plain,
% 6.15/4.35 ((~v101(constB33)) | (~v110(constB33))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3501, 3500])).
% 6.15/4.35 tff(3503,plain,
% 6.15/4.35 ((~(v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33)))))) | (~v100(constB33)) | (~((~v101(constB33)) | (~v110(constB33))))),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3504,plain,
% 6.15/4.35 (~v100(constB33)),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3503, 3502, 3485])).
% 6.15/4.35 tff(3505,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3506,plain,
% 6.15/4.35 ((v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 0)) <=> v90(constB32, 0))))) <=> (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3507,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0))))))),
% 6.15/4.35 inference(monotonicity,[status(thm)],[3506])).
% 6.15/4.35 tff(3508,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))))),
% 6.15/4.35 inference(transitivity,[status(thm)],[3507, 3505])).
% 6.15/4.35 tff(3509,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))))),
% 6.15/4.35 inference(quant_inst,[status(thm)],[])).
% 6.15/4.35 tff(3510,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0))))),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 6.15/4.35 tff(3511,plain,
% 6.15/4.35 (v100(constB33) | (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0))))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3510, 3481, 325])).
% 6.15/4.35 tff(3512,plain,
% 6.15/4.35 (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3511, 3504])).
% 6.15/4.35 tff(3513,plain,
% 6.15/4.35 ((((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0))) | (~((~v90(constB33, 2)) <=> v90(constB32, 2)))),
% 6.15/4.35 inference(tautology,[status(thm)],[])).
% 6.15/4.35 tff(3514,plain,
% 6.15/4.35 (~((~v90(constB33, 2)) <=> v90(constB32, 2))),
% 6.15/4.35 inference(unit_resolution,[status(thm)],[3513, 3512])).
% 6.15/4.35 tff(3515,plain,
% 6.15/4.35 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3516,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_31')).
% 6.15/4.35 tff(3517,plain,
% 6.15/4.35 (nextState(constB31, constB32)),
% 6.15/4.35 inference(modus_ponens,[status(thm)],[3516, 3515])).
% 6.15/4.35 tff(3518,plain,
% 6.15/4.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB31, constB32)) | (~(((~v129(constB32, 2)) <=> v127(constB31, 2)) | ((~v129(constB32, 1)) <=> v127(constB31, 1)) | ((~v129(constB32, 0)) <=> v127(constB31, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB31, constB32)) | (~(((~v129(constB32, 2)) <=> v127(constB31, 2)) | ((~v129(constB32, 1)) <=> v127(constB31, 1)) | ((~v129(constB32, 0)) <=> v127(constB31, 0)))))),
% 6.15/4.35 inference(rewrite,[status(thm)],[])).
% 6.15/4.35 tff(3519,plain,
% 6.15/4.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB31, constB32)) | (~(((~v129(constB32, 2)) <=> v127(constB31, 2)) | ((~v129(constB32, 1)) <=> v127(constB31, 1)) | ((~v129(constB32, 0)) <=> v127(constB31, 0)))))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3520,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB31, constB32)) | (~(((~v129(constB32, 2)) <=> v127(constB31, 2)) | ((~v129(constB32, 1)) <=> v127(constB31, 1)) | ((~v129(constB32, 0)) <=> v127(constB31, 0))))),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3519, 3518])).
% 6.15/4.36 tff(3521,plain,
% 6.15/4.36 (~(((~v129(constB32, 2)) <=> v127(constB31, 2)) | ((~v129(constB32, 1)) <=> v127(constB31, 1)) | ((~v129(constB32, 0)) <=> v127(constB31, 0)))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3520, 3517, 348])).
% 6.15/4.36 tff(3522,plain,
% 6.15/4.36 ((((~v129(constB32, 2)) <=> v127(constB31, 2)) | ((~v129(constB32, 1)) <=> v127(constB31, 1)) | ((~v129(constB32, 0)) <=> v127(constB31, 0))) | (~((~v129(constB32, 2)) <=> v127(constB31, 2)))),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3523,plain,
% 6.15/4.36 (~((~v129(constB32, 2)) <=> v127(constB31, 2))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3522, 3521])).
% 6.15/4.36 tff(3524,plain,
% 6.15/4.36 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB31) <=> v26(constB31))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3525,plain,
% 6.15/4.36 (v111(constB31) <=> v26(constB31)),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3524, 367])).
% 6.15/4.36 tff(3526,plain,
% 6.15/4.36 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB31))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3527,plain,
% 6.15/4.36 (~v26(constB31)),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3526, 379])).
% 6.15/4.36 tff(3528,plain,
% 6.15/4.36 ((~(v111(constB31) <=> v26(constB31))) | (~v111(constB31)) | v26(constB31)),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3529,plain,
% 6.15/4.36 ((~(v111(constB31) <=> v26(constB31))) | (~v111(constB31))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3528, 3527])).
% 6.15/4.36 tff(3530,plain,
% 6.15/4.36 (~v111(constB31)),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3529, 3525])).
% 6.15/4.36 tff(3531,plain,
% 6.15/4.36 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB31) | (~(((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB31) | (~(((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0)))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3532,plain,
% 6.15/4.36 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB31) | (~(((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0)))))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3533,plain,
% 6.15/4.36 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB31) | (~(((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0))))),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3532, 3531])).
% 6.15/4.36 tff(3534,plain,
% 6.15/4.36 (v111(constB31) | (~(((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0))))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3533, 397])).
% 6.15/4.36 tff(3535,plain,
% 6.15/4.36 (~(((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0)))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3534, 3530])).
% 6.15/4.36 tff(3536,plain,
% 6.15/4.36 ((((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0))) | (~((~v127(constB31, 2)) <=> v130(constB31, 2)))),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3537,plain,
% 6.15/4.36 (~((~v127(constB31, 2)) <=> v130(constB31, 2))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3536, 3535])).
% 6.15/4.36 tff(3538,plain,
% 6.15/4.36 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0))))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3539,plain,
% 6.15/4.36 ((v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 0)) | (~v90(constB31, 1))))) <=> (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0)))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3540,plain,
% 6.15/4.36 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 0)) | (~v90(constB31, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0))))))),
% 6.15/4.36 inference(monotonicity,[status(thm)],[3539])).
% 6.15/4.36 tff(3541,plain,
% 6.15/4.36 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 0)) | (~v90(constB31, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0))))))),
% 6.15/4.36 inference(transitivity,[status(thm)],[3540, 3538])).
% 6.15/4.36 tff(3542,plain,
% 6.15/4.36 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 0)) | (~v90(constB31, 1)))))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3543,plain,
% 6.15/4.36 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0)))))),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3542, 3541])).
% 6.15/4.36 tff(3544,plain,
% 6.15/4.36 (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0))))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3543, 644])).
% 6.15/4.36 tff(3545,plain,
% 6.15/4.36 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3546,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_30')).
% 6.15/4.36 tff(3547,plain,
% 6.15/4.36 (nextState(constB30, constB31)),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3546, 3545])).
% 6.15/4.36 tff(3548,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3549,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3550,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31)))))),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3549, 3548])).
% 6.15/4.36 tff(3551,plain,
% 6.15/4.36 (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3550, 3547, 273])).
% 6.15/4.36 tff(3552,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3553,plain,
% 6.15/4.36 (((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31)))))) <=> ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3554,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))))),
% 6.15/4.36 inference(monotonicity,[status(thm)],[3553])).
% 6.15/4.36 tff(3555,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 6.15/4.36 inference(transitivity,[status(thm)],[3554, 3552])).
% 6.15/4.36 tff(3556,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3557,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3556, 3555])).
% 6.15/4.36 tff(3558,plain,
% 6.15/4.36 (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3557, 3547, 293])).
% 6.15/4.36 tff(3559,plain,
% 6.15/4.36 ((~v1(constB31)) <=> (~v1(constB31))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3560,axiom,(~v1(constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_31')).
% 6.15/4.36 tff(3561,plain,
% 6.15/4.36 (~v1(constB31)),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3560, 3559])).
% 6.15/4.36 tff(3562,plain,
% 6.15/4.36 (((~v1(constB31)) | (~v102(constB31))) | v1(constB31)),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3563,plain,
% 6.15/4.36 ((~v1(constB31)) | (~v102(constB31))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3562, 3561])).
% 6.15/4.36 tff(3564,plain,
% 6.15/4.36 ((~(v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))) | (~v101(constB31)) | (~((~v1(constB31)) | (~v102(constB31))))),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3565,plain,
% 6.15/4.36 ((~(v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))) | (~v101(constB31))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3564, 3563])).
% 6.15/4.36 tff(3566,plain,
% 6.15/4.36 (~v101(constB31)),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3565, 3558])).
% 6.15/4.36 tff(3567,plain,
% 6.15/4.36 (((~v101(constB31)) | (~v110(constB31))) | v101(constB31)),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3568,plain,
% 6.15/4.36 ((~v101(constB31)) | (~v110(constB31))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3567, 3566])).
% 6.15/4.36 tff(3569,plain,
% 6.15/4.36 ((~(v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31)))))) | (~v100(constB31)) | (~((~v101(constB31)) | (~v110(constB31))))),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3570,plain,
% 6.15/4.36 (~v100(constB31)),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3569, 3568, 3551])).
% 6.15/4.36 tff(3571,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3572,plain,
% 6.15/4.36 ((v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 0)) <=> v90(constB30, 0))))) <=> (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3573,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0))))))),
% 6.15/4.36 inference(monotonicity,[status(thm)],[3572])).
% 6.15/4.36 tff(3574,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))))),
% 6.15/4.36 inference(transitivity,[status(thm)],[3573, 3571])).
% 6.15/4.36 tff(3575,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3576,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0))))),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3575, 3574])).
% 6.15/4.36 tff(3577,plain,
% 6.15/4.36 (v100(constB31) | (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0))))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3576, 3547, 325])).
% 6.15/4.36 tff(3578,plain,
% 6.15/4.36 (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3577, 3570])).
% 6.15/4.36 tff(3579,plain,
% 6.15/4.36 ((((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0))) | (~((~v90(constB31, 2)) <=> v90(constB30, 2)))),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3580,plain,
% 6.15/4.36 (~((~v90(constB31, 2)) <=> v90(constB30, 2))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3579, 3578])).
% 6.15/4.36 tff(3581,plain,
% 6.15/4.36 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3582,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_29')).
% 6.15/4.36 tff(3583,plain,
% 6.15/4.36 (nextState(constB29, constB30)),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3582, 3581])).
% 6.15/4.36 tff(3584,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB29, constB30)) | (~(((~v129(constB30, 2)) <=> v127(constB29, 2)) | ((~v129(constB30, 1)) <=> v127(constB29, 1)) | ((~v129(constB30, 0)) <=> v127(constB29, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB29, constB30)) | (~(((~v129(constB30, 2)) <=> v127(constB29, 2)) | ((~v129(constB30, 1)) <=> v127(constB29, 1)) | ((~v129(constB30, 0)) <=> v127(constB29, 0)))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3585,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB29, constB30)) | (~(((~v129(constB30, 2)) <=> v127(constB29, 2)) | ((~v129(constB30, 1)) <=> v127(constB29, 1)) | ((~v129(constB30, 0)) <=> v127(constB29, 0)))))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3586,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB29, constB30)) | (~(((~v129(constB30, 2)) <=> v127(constB29, 2)) | ((~v129(constB30, 1)) <=> v127(constB29, 1)) | ((~v129(constB30, 0)) <=> v127(constB29, 0))))),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3585, 3584])).
% 6.15/4.36 tff(3587,plain,
% 6.15/4.36 (~(((~v129(constB30, 2)) <=> v127(constB29, 2)) | ((~v129(constB30, 1)) <=> v127(constB29, 1)) | ((~v129(constB30, 0)) <=> v127(constB29, 0)))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3586, 3583, 348])).
% 6.15/4.36 tff(3588,plain,
% 6.15/4.36 ((((~v129(constB30, 2)) <=> v127(constB29, 2)) | ((~v129(constB30, 1)) <=> v127(constB29, 1)) | ((~v129(constB30, 0)) <=> v127(constB29, 0))) | (~((~v129(constB30, 2)) <=> v127(constB29, 2)))),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3589,plain,
% 6.15/4.36 (~((~v129(constB30, 2)) <=> v127(constB29, 2))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3588, 3587])).
% 6.15/4.36 tff(3590,plain,
% 6.15/4.36 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB29) <=> v26(constB29))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3591,plain,
% 6.15/4.36 (v111(constB29) <=> v26(constB29)),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3590, 367])).
% 6.15/4.36 tff(3592,plain,
% 6.15/4.36 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB29))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3593,plain,
% 6.15/4.36 (~v26(constB29)),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3592, 379])).
% 6.15/4.36 tff(3594,plain,
% 6.15/4.36 ((~(v111(constB29) <=> v26(constB29))) | (~v111(constB29)) | v26(constB29)),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3595,plain,
% 6.15/4.36 ((~(v111(constB29) <=> v26(constB29))) | (~v111(constB29))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3594, 3593])).
% 6.15/4.36 tff(3596,plain,
% 6.15/4.36 (~v111(constB29)),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3595, 3591])).
% 6.15/4.36 tff(3597,plain,
% 6.15/4.36 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB29) | (~(((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB29) | (~(((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0)))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3598,plain,
% 6.15/4.36 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB29) | (~(((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0)))))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3599,plain,
% 6.15/4.36 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB29) | (~(((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0))))),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3598, 3597])).
% 6.15/4.36 tff(3600,plain,
% 6.15/4.36 (v111(constB29) | (~(((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0))))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3599, 397])).
% 6.15/4.36 tff(3601,plain,
% 6.15/4.36 (~(((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0)))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3600, 3596])).
% 6.15/4.36 tff(3602,plain,
% 6.15/4.36 ((((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0))) | (~((~v127(constB29, 2)) <=> v130(constB29, 2)))),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3603,plain,
% 6.15/4.36 (~((~v127(constB29, 2)) <=> v130(constB29, 2))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3602, 3601])).
% 6.15/4.36 tff(3604,plain,
% 6.15/4.36 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1))))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3605,plain,
% 6.15/4.36 ((v121(constB29) <=> (~(v90(constB29, 0) | v90(constB29, 2) | (~v90(constB29, 1))))) <=> (v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1)))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3606,plain,
% 6.15/4.36 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 0) | v90(constB29, 2) | (~v90(constB29, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1))))))),
% 6.15/4.36 inference(monotonicity,[status(thm)],[3605])).
% 6.15/4.36 tff(3607,plain,
% 6.15/4.36 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 0) | v90(constB29, 2) | (~v90(constB29, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1))))))),
% 6.15/4.36 inference(transitivity,[status(thm)],[3606, 3604])).
% 6.15/4.36 tff(3608,plain,
% 6.15/4.36 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 0) | v90(constB29, 2) | (~v90(constB29, 1)))))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3609,plain,
% 6.15/4.36 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1)))))),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3608, 3607])).
% 6.15/4.36 tff(3610,plain,
% 6.15/4.36 (v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1))))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3609, 723])).
% 6.15/4.36 tff(3611,plain,
% 6.15/4.36 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3612,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_28')).
% 6.15/4.36 tff(3613,plain,
% 6.15/4.36 (nextState(constB28, constB29)),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3612, 3611])).
% 6.15/4.36 tff(3614,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3615,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3616,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29)))))),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3615, 3614])).
% 6.15/4.36 tff(3617,plain,
% 6.15/4.36 (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3616, 3613, 273])).
% 6.15/4.36 tff(3618,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3619,plain,
% 6.15/4.36 (((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29)))))) <=> ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3620,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))))),
% 6.15/4.36 inference(monotonicity,[status(thm)],[3619])).
% 6.15/4.36 tff(3621,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 6.15/4.36 inference(transitivity,[status(thm)],[3620, 3618])).
% 6.15/4.36 tff(3622,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3623,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3622, 3621])).
% 6.15/4.36 tff(3624,plain,
% 6.15/4.36 (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3623, 3613, 293])).
% 6.15/4.36 tff(3625,plain,
% 6.15/4.36 ((~v1(constB29)) <=> (~v1(constB29))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3626,axiom,(~v1(constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_29')).
% 6.15/4.36 tff(3627,plain,
% 6.15/4.36 (~v1(constB29)),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3626, 3625])).
% 6.15/4.36 tff(3628,plain,
% 6.15/4.36 (((~v1(constB29)) | (~v102(constB29))) | v1(constB29)),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3629,plain,
% 6.15/4.36 ((~v1(constB29)) | (~v102(constB29))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3628, 3627])).
% 6.15/4.36 tff(3630,plain,
% 6.15/4.36 ((~(v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))) | (~v101(constB29)) | (~((~v1(constB29)) | (~v102(constB29))))),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3631,plain,
% 6.15/4.36 ((~(v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))) | (~v101(constB29))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3630, 3629])).
% 6.15/4.36 tff(3632,plain,
% 6.15/4.36 (~v101(constB29)),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3631, 3624])).
% 6.15/4.36 tff(3633,plain,
% 6.15/4.36 (((~v101(constB29)) | (~v110(constB29))) | v101(constB29)),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3634,plain,
% 6.15/4.36 ((~v101(constB29)) | (~v110(constB29))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3633, 3632])).
% 6.15/4.36 tff(3635,plain,
% 6.15/4.36 ((~(v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29)))))) | (~v100(constB29)) | (~((~v101(constB29)) | (~v110(constB29))))),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3636,plain,
% 6.15/4.36 (~v100(constB29)),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3635, 3634, 3617])).
% 6.15/4.36 tff(3637,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3638,plain,
% 6.15/4.36 ((v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 0)) <=> v90(constB28, 0))))) <=> (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3639,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0))))))),
% 6.15/4.36 inference(monotonicity,[status(thm)],[3638])).
% 6.15/4.36 tff(3640,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))))),
% 6.15/4.36 inference(transitivity,[status(thm)],[3639, 3637])).
% 6.15/4.36 tff(3641,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3642,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0))))),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3641, 3640])).
% 6.15/4.36 tff(3643,plain,
% 6.15/4.36 (v100(constB29) | (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0))))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3642, 3613, 325])).
% 6.15/4.36 tff(3644,plain,
% 6.15/4.36 (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3643, 3636])).
% 6.15/4.36 tff(3645,plain,
% 6.15/4.36 ((((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0))) | (~((~v90(constB29, 2)) <=> v90(constB28, 2)))),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3646,plain,
% 6.15/4.36 (~((~v90(constB29, 2)) <=> v90(constB28, 2))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3645, 3644])).
% 6.15/4.36 tff(3647,plain,
% 6.15/4.36 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3648,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_27')).
% 6.15/4.36 tff(3649,plain,
% 6.15/4.36 (nextState(constB27, constB28)),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 6.15/4.36 tff(3650,plain,
% 6.15/4.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB27, constB28)) | (~(((~v129(constB28, 2)) <=> v127(constB27, 2)) | ((~v129(constB28, 1)) <=> v127(constB27, 1)) | ((~v129(constB28, 0)) <=> v127(constB27, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB27, constB28)) | (~(((~v129(constB28, 2)) <=> v127(constB27, 2)) | ((~v129(constB28, 1)) <=> v127(constB27, 1)) | ((~v129(constB28, 0)) <=> v127(constB27, 0)))))),
% 6.15/4.36 inference(rewrite,[status(thm)],[])).
% 6.15/4.36 tff(3651,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB27, constB28)) | (~(((~v129(constB28, 2)) <=> v127(constB27, 2)) | ((~v129(constB28, 1)) <=> v127(constB27, 1)) | ((~v129(constB28, 0)) <=> v127(constB27, 0)))))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3652,plain,
% 6.15/4.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB27, constB28)) | (~(((~v129(constB28, 2)) <=> v127(constB27, 2)) | ((~v129(constB28, 1)) <=> v127(constB27, 1)) | ((~v129(constB28, 0)) <=> v127(constB27, 0))))),
% 6.15/4.36 inference(modus_ponens,[status(thm)],[3651, 3650])).
% 6.15/4.36 tff(3653,plain,
% 6.15/4.36 (~(((~v129(constB28, 2)) <=> v127(constB27, 2)) | ((~v129(constB28, 1)) <=> v127(constB27, 1)) | ((~v129(constB28, 0)) <=> v127(constB27, 0)))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3652, 3649, 348])).
% 6.15/4.36 tff(3654,plain,
% 6.15/4.36 ((((~v129(constB28, 2)) <=> v127(constB27, 2)) | ((~v129(constB28, 1)) <=> v127(constB27, 1)) | ((~v129(constB28, 0)) <=> v127(constB27, 0))) | (~((~v129(constB28, 2)) <=> v127(constB27, 2)))),
% 6.15/4.36 inference(tautology,[status(thm)],[])).
% 6.15/4.36 tff(3655,plain,
% 6.15/4.36 (~((~v129(constB28, 2)) <=> v127(constB27, 2))),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3654, 3653])).
% 6.15/4.36 tff(3656,plain,
% 6.15/4.36 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB27) <=> v26(constB27))),
% 6.15/4.36 inference(quant_inst,[status(thm)],[])).
% 6.15/4.36 tff(3657,plain,
% 6.15/4.36 (v111(constB27) <=> v26(constB27)),
% 6.15/4.36 inference(unit_resolution,[status(thm)],[3656, 367])).
% 6.15/4.36 tff(3658,plain,
% 6.15/4.36 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB27))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3659,plain,
% 6.15/4.37 (~v26(constB27)),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3658, 379])).
% 6.15/4.37 tff(3660,plain,
% 6.15/4.37 ((~(v111(constB27) <=> v26(constB27))) | (~v111(constB27)) | v26(constB27)),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3661,plain,
% 6.15/4.37 ((~(v111(constB27) <=> v26(constB27))) | (~v111(constB27))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3660, 3659])).
% 6.15/4.37 tff(3662,plain,
% 6.15/4.37 (~v111(constB27)),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3661, 3657])).
% 6.15/4.37 tff(3663,plain,
% 6.15/4.37 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB27) | (~(((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB27) | (~(((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0)))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3664,plain,
% 6.15/4.37 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB27) | (~(((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0)))))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3665,plain,
% 6.15/4.37 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB27) | (~(((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0))))),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3664, 3663])).
% 6.15/4.37 tff(3666,plain,
% 6.15/4.37 (v111(constB27) | (~(((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0))))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3665, 397])).
% 6.15/4.37 tff(3667,plain,
% 6.15/4.37 (~(((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0)))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3666, 3662])).
% 6.15/4.37 tff(3668,plain,
% 6.15/4.37 ((((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0))) | (~((~v127(constB27, 2)) <=> v130(constB27, 2)))),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3669,plain,
% 6.15/4.37 (~((~v127(constB27, 2)) <=> v130(constB27, 2))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3668, 3667])).
% 6.15/4.37 tff(3670,plain,
% 6.15/4.37 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB27) <=> (~(v90(constB27, 1) | v90(constB27, 2) | (~v90(constB27, 0)))))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3671,plain,
% 6.15/4.37 (v120(constB27) <=> (~(v90(constB27, 1) | v90(constB27, 2) | (~v90(constB27, 0))))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3670, 417])).
% 6.15/4.37 tff(3672,plain,
% 6.15/4.37 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3673,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_26')).
% 6.15/4.37 tff(3674,plain,
% 6.15/4.37 (nextState(constB26, constB27)),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3673, 3672])).
% 6.15/4.37 tff(3675,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3676,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3677,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27)))))),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3676, 3675])).
% 6.15/4.37 tff(3678,plain,
% 6.15/4.37 (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3677, 3674, 273])).
% 6.15/4.37 tff(3679,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3680,plain,
% 6.15/4.37 (((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27)))))) <=> ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3681,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))))),
% 6.15/4.37 inference(monotonicity,[status(thm)],[3680])).
% 6.15/4.37 tff(3682,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 6.15/4.37 inference(transitivity,[status(thm)],[3681, 3679])).
% 6.15/4.37 tff(3683,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3684,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3683, 3682])).
% 6.15/4.37 tff(3685,plain,
% 6.15/4.37 (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3684, 3674, 293])).
% 6.15/4.37 tff(3686,plain,
% 6.15/4.37 ((~v1(constB27)) <=> (~v1(constB27))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3687,axiom,(~v1(constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_27')).
% 6.15/4.37 tff(3688,plain,
% 6.15/4.37 (~v1(constB27)),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3687, 3686])).
% 6.15/4.37 tff(3689,plain,
% 6.15/4.37 (((~v1(constB27)) | (~v102(constB27))) | v1(constB27)),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3690,plain,
% 6.15/4.37 ((~v1(constB27)) | (~v102(constB27))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3689, 3688])).
% 6.15/4.37 tff(3691,plain,
% 6.15/4.37 ((~(v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))) | (~v101(constB27)) | (~((~v1(constB27)) | (~v102(constB27))))),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3692,plain,
% 6.15/4.37 ((~(v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))) | (~v101(constB27))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3691, 3690])).
% 6.15/4.37 tff(3693,plain,
% 6.15/4.37 (~v101(constB27)),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3692, 3685])).
% 6.15/4.37 tff(3694,plain,
% 6.15/4.37 (((~v101(constB27)) | (~v110(constB27))) | v101(constB27)),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3695,plain,
% 6.15/4.37 ((~v101(constB27)) | (~v110(constB27))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3694, 3693])).
% 6.15/4.37 tff(3696,plain,
% 6.15/4.37 ((~(v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27)))))) | (~v100(constB27)) | (~((~v101(constB27)) | (~v110(constB27))))),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3697,plain,
% 6.15/4.37 (~v100(constB27)),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3696, 3695, 3678])).
% 6.15/4.37 tff(3698,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3699,plain,
% 6.15/4.37 ((v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 0)) <=> v90(constB26, 0))))) <=> (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3700,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0))))))),
% 6.15/4.37 inference(monotonicity,[status(thm)],[3699])).
% 6.15/4.37 tff(3701,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))))),
% 6.15/4.37 inference(transitivity,[status(thm)],[3700, 3698])).
% 6.15/4.37 tff(3702,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3703,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0))))),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 6.15/4.37 tff(3704,plain,
% 6.15/4.37 (v100(constB27) | (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0))))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3703, 3674, 325])).
% 6.15/4.37 tff(3705,plain,
% 6.15/4.37 (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3704, 3697])).
% 6.15/4.37 tff(3706,plain,
% 6.15/4.37 ((((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0))) | (~((~v90(constB27, 2)) <=> v90(constB26, 2)))),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3707,plain,
% 6.15/4.37 (~((~v90(constB27, 2)) <=> v90(constB26, 2))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3706, 3705])).
% 6.15/4.37 tff(3708,plain,
% 6.15/4.37 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3709,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_25')).
% 6.15/4.37 tff(3710,plain,
% 6.15/4.37 (nextState(constB25, constB26)),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3709, 3708])).
% 6.15/4.37 tff(3711,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB25, constB26)) | (~(((~v129(constB26, 2)) <=> v127(constB25, 2)) | ((~v129(constB26, 1)) <=> v127(constB25, 1)) | ((~v129(constB26, 0)) <=> v127(constB25, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB25, constB26)) | (~(((~v129(constB26, 2)) <=> v127(constB25, 2)) | ((~v129(constB26, 1)) <=> v127(constB25, 1)) | ((~v129(constB26, 0)) <=> v127(constB25, 0)))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3712,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB25, constB26)) | (~(((~v129(constB26, 2)) <=> v127(constB25, 2)) | ((~v129(constB26, 1)) <=> v127(constB25, 1)) | ((~v129(constB26, 0)) <=> v127(constB25, 0)))))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3713,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB25, constB26)) | (~(((~v129(constB26, 2)) <=> v127(constB25, 2)) | ((~v129(constB26, 1)) <=> v127(constB25, 1)) | ((~v129(constB26, 0)) <=> v127(constB25, 0))))),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3712, 3711])).
% 6.15/4.37 tff(3714,plain,
% 6.15/4.37 (~(((~v129(constB26, 2)) <=> v127(constB25, 2)) | ((~v129(constB26, 1)) <=> v127(constB25, 1)) | ((~v129(constB26, 0)) <=> v127(constB25, 0)))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3713, 3710, 348])).
% 6.15/4.37 tff(3715,plain,
% 6.15/4.37 ((((~v129(constB26, 2)) <=> v127(constB25, 2)) | ((~v129(constB26, 1)) <=> v127(constB25, 1)) | ((~v129(constB26, 0)) <=> v127(constB25, 0))) | (~((~v129(constB26, 2)) <=> v127(constB25, 2)))),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3716,plain,
% 6.15/4.37 (~((~v129(constB26, 2)) <=> v127(constB25, 2))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3715, 3714])).
% 6.15/4.37 tff(3717,plain,
% 6.15/4.37 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB25) <=> v26(constB25))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3718,plain,
% 6.15/4.37 (v111(constB25) <=> v26(constB25)),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3717, 367])).
% 6.15/4.37 tff(3719,plain,
% 6.15/4.37 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB25))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3720,plain,
% 6.15/4.37 (~v26(constB25)),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3719, 379])).
% 6.15/4.37 tff(3721,plain,
% 6.15/4.37 ((~(v111(constB25) <=> v26(constB25))) | (~v111(constB25)) | v26(constB25)),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3722,plain,
% 6.15/4.37 ((~(v111(constB25) <=> v26(constB25))) | (~v111(constB25))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3721, 3720])).
% 6.15/4.37 tff(3723,plain,
% 6.15/4.37 (~v111(constB25)),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3722, 3718])).
% 6.15/4.37 tff(3724,plain,
% 6.15/4.37 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB25) | (~(((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB25) | (~(((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0)))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3725,plain,
% 6.15/4.37 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB25) | (~(((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0)))))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3726,plain,
% 6.15/4.37 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB25) | (~(((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0))))),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3725, 3724])).
% 6.15/4.37 tff(3727,plain,
% 6.15/4.37 (v111(constB25) | (~(((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0))))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3726, 397])).
% 6.15/4.37 tff(3728,plain,
% 6.15/4.37 (~(((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0)))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3727, 3723])).
% 6.15/4.37 tff(3729,plain,
% 6.15/4.37 ((((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0))) | (~((~v127(constB25, 2)) <=> v130(constB25, 2)))),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3730,plain,
% 6.15/4.37 (~((~v127(constB25, 2)) <=> v130(constB25, 2))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3729, 3728])).
% 6.15/4.37 tff(3731,plain,
% 6.15/4.37 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB25) <=> (~(v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2))))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3732,plain,
% 6.15/4.37 (v119(constB25) <=> (~(v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2)))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3731, 491])).
% 6.15/4.37 tff(3733,plain,
% 6.15/4.37 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3734,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_24')).
% 6.15/4.37 tff(3735,plain,
% 6.15/4.37 (nextState(constB24, constB25)),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3734, 3733])).
% 6.15/4.37 tff(3736,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3737,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3738,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25)))))),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3737, 3736])).
% 6.15/4.37 tff(3739,plain,
% 6.15/4.37 (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3738, 3735, 273])).
% 6.15/4.37 tff(3740,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3741,plain,
% 6.15/4.37 (((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25)))))) <=> ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3742,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))))),
% 6.15/4.37 inference(monotonicity,[status(thm)],[3741])).
% 6.15/4.37 tff(3743,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 6.15/4.37 inference(transitivity,[status(thm)],[3742, 3740])).
% 6.15/4.37 tff(3744,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3745,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3744, 3743])).
% 6.15/4.37 tff(3746,plain,
% 6.15/4.37 (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3745, 3735, 293])).
% 6.15/4.37 tff(3747,plain,
% 6.15/4.37 ((~v1(constB25)) <=> (~v1(constB25))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3748,axiom,(~v1(constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_25')).
% 6.15/4.37 tff(3749,plain,
% 6.15/4.37 (~v1(constB25)),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3748, 3747])).
% 6.15/4.37 tff(3750,plain,
% 6.15/4.37 (((~v1(constB25)) | (~v102(constB25))) | v1(constB25)),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3751,plain,
% 6.15/4.37 ((~v1(constB25)) | (~v102(constB25))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3750, 3749])).
% 6.15/4.37 tff(3752,plain,
% 6.15/4.37 ((~(v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))) | (~v101(constB25)) | (~((~v1(constB25)) | (~v102(constB25))))),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3753,plain,
% 6.15/4.37 ((~(v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))) | (~v101(constB25))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3752, 3751])).
% 6.15/4.37 tff(3754,plain,
% 6.15/4.37 (~v101(constB25)),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3753, 3746])).
% 6.15/4.37 tff(3755,plain,
% 6.15/4.37 (((~v101(constB25)) | (~v110(constB25))) | v101(constB25)),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3756,plain,
% 6.15/4.37 ((~v101(constB25)) | (~v110(constB25))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3755, 3754])).
% 6.15/4.37 tff(3757,plain,
% 6.15/4.37 ((~(v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25)))))) | (~v100(constB25)) | (~((~v101(constB25)) | (~v110(constB25))))),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3758,plain,
% 6.15/4.37 (~v100(constB25)),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3757, 3756, 3739])).
% 6.15/4.37 tff(3759,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3760,plain,
% 6.15/4.37 ((v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 0)) <=> v90(constB24, 0))))) <=> (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3761,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0))))))),
% 6.15/4.37 inference(monotonicity,[status(thm)],[3760])).
% 6.15/4.37 tff(3762,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))))),
% 6.15/4.37 inference(transitivity,[status(thm)],[3761, 3759])).
% 6.15/4.37 tff(3763,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3764,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0))))),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3763, 3762])).
% 6.15/4.37 tff(3765,plain,
% 6.15/4.37 (v100(constB25) | (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0))))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3764, 3735, 325])).
% 6.15/4.37 tff(3766,plain,
% 6.15/4.37 (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3765, 3758])).
% 6.15/4.37 tff(3767,plain,
% 6.15/4.37 ((((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0))) | (~((~v90(constB25, 2)) <=> v90(constB24, 2)))),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3768,plain,
% 6.15/4.37 (~((~v90(constB25, 2)) <=> v90(constB24, 2))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3767, 3766])).
% 6.15/4.37 tff(3769,plain,
% 6.15/4.37 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3770,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_23')).
% 6.15/4.37 tff(3771,plain,
% 6.15/4.37 (nextState(constB23, constB24)),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3770, 3769])).
% 6.15/4.37 tff(3772,plain,
% 6.15/4.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB23, constB24)) | (~(((~v129(constB24, 2)) <=> v127(constB23, 2)) | ((~v129(constB24, 1)) <=> v127(constB23, 1)) | ((~v129(constB24, 0)) <=> v127(constB23, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB23, constB24)) | (~(((~v129(constB24, 2)) <=> v127(constB23, 2)) | ((~v129(constB24, 1)) <=> v127(constB23, 1)) | ((~v129(constB24, 0)) <=> v127(constB23, 0)))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3773,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB23, constB24)) | (~(((~v129(constB24, 2)) <=> v127(constB23, 2)) | ((~v129(constB24, 1)) <=> v127(constB23, 1)) | ((~v129(constB24, 0)) <=> v127(constB23, 0)))))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3774,plain,
% 6.15/4.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB23, constB24)) | (~(((~v129(constB24, 2)) <=> v127(constB23, 2)) | ((~v129(constB24, 1)) <=> v127(constB23, 1)) | ((~v129(constB24, 0)) <=> v127(constB23, 0))))),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3773, 3772])).
% 6.15/4.37 tff(3775,plain,
% 6.15/4.37 (~(((~v129(constB24, 2)) <=> v127(constB23, 2)) | ((~v129(constB24, 1)) <=> v127(constB23, 1)) | ((~v129(constB24, 0)) <=> v127(constB23, 0)))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3774, 3771, 348])).
% 6.15/4.37 tff(3776,plain,
% 6.15/4.37 ((((~v129(constB24, 2)) <=> v127(constB23, 2)) | ((~v129(constB24, 1)) <=> v127(constB23, 1)) | ((~v129(constB24, 0)) <=> v127(constB23, 0))) | (~((~v129(constB24, 2)) <=> v127(constB23, 2)))),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3777,plain,
% 6.15/4.37 (~((~v129(constB24, 2)) <=> v127(constB23, 2))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3776, 3775])).
% 6.15/4.37 tff(3778,plain,
% 6.15/4.37 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB23) <=> v26(constB23))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3779,plain,
% 6.15/4.37 (v111(constB23) <=> v26(constB23)),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3778, 367])).
% 6.15/4.37 tff(3780,plain,
% 6.15/4.37 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB23))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3781,plain,
% 6.15/4.37 (~v26(constB23)),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3780, 379])).
% 6.15/4.37 tff(3782,plain,
% 6.15/4.37 ((~(v111(constB23) <=> v26(constB23))) | (~v111(constB23)) | v26(constB23)),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3783,plain,
% 6.15/4.37 ((~(v111(constB23) <=> v26(constB23))) | (~v111(constB23))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3782, 3781])).
% 6.15/4.37 tff(3784,plain,
% 6.15/4.37 (~v111(constB23)),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3783, 3779])).
% 6.15/4.37 tff(3785,plain,
% 6.15/4.37 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB23) | (~(((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB23) | (~(((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0)))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3786,plain,
% 6.15/4.37 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB23) | (~(((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0)))))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3787,plain,
% 6.15/4.37 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB23) | (~(((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0))))),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3786, 3785])).
% 6.15/4.37 tff(3788,plain,
% 6.15/4.37 (v111(constB23) | (~(((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0))))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3787, 397])).
% 6.15/4.37 tff(3789,plain,
% 6.15/4.37 (~(((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0)))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3788, 3784])).
% 6.15/4.37 tff(3790,plain,
% 6.15/4.37 ((((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0))) | (~((~v127(constB23, 2)) <=> v130(constB23, 2)))),
% 6.15/4.37 inference(tautology,[status(thm)],[])).
% 6.15/4.37 tff(3791,plain,
% 6.15/4.37 (~((~v127(constB23, 2)) <=> v130(constB23, 2))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3790, 3789])).
% 6.15/4.37 tff(3792,plain,
% 6.15/4.37 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB23) <=> (~(v90(constB23, 1) | v90(constB23, 0) | (~v90(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB23) <=> (~(v90(constB23, 1) | v90(constB23, 0) | (~v90(constB23, 2))))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3793,plain,
% 6.15/4.37 ((v123(constB23) <=> (~(v90(constB23, 0) | v90(constB23, 1) | (~v90(constB23, 2))))) <=> (v123(constB23) <=> (~(v90(constB23, 1) | v90(constB23, 0) | (~v90(constB23, 2)))))),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3794,plain,
% 6.15/4.37 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB23) <=> (~(v90(constB23, 0) | v90(constB23, 1) | (~v90(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB23) <=> (~(v90(constB23, 1) | v90(constB23, 0) | (~v90(constB23, 2))))))),
% 6.15/4.37 inference(monotonicity,[status(thm)],[3793])).
% 6.15/4.37 tff(3795,plain,
% 6.15/4.37 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB23) <=> (~(v90(constB23, 0) | v90(constB23, 1) | (~v90(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB23) <=> (~(v90(constB23, 1) | v90(constB23, 0) | (~v90(constB23, 2))))))),
% 6.15/4.37 inference(transitivity,[status(thm)],[3794, 3792])).
% 6.15/4.37 tff(3796,plain,
% 6.15/4.37 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB23) <=> (~(v90(constB23, 0) | v90(constB23, 1) | (~v90(constB23, 2)))))),
% 6.15/4.37 inference(quant_inst,[status(thm)],[])).
% 6.15/4.37 tff(3797,plain,
% 6.15/4.37 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB23) <=> (~(v90(constB23, 1) | v90(constB23, 0) | (~v90(constB23, 2)))))),
% 6.15/4.37 inference(modus_ponens,[status(thm)],[3796, 3795])).
% 6.15/4.37 tff(3798,plain,
% 6.15/4.37 (v123(constB23) <=> (~(v90(constB23, 1) | v90(constB23, 0) | (~v90(constB23, 2))))),
% 6.15/4.37 inference(unit_resolution,[status(thm)],[3797, 565])).
% 6.15/4.37 tff(3799,plain,
% 6.15/4.37 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 6.15/4.37 inference(rewrite,[status(thm)],[])).
% 6.15/4.37 tff(3800,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_22')).
% 6.15/4.38 tff(3801,plain,
% 6.15/4.38 (nextState(constB22, constB23)),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 6.15/4.38 tff(3802,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3803,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3804,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23)))))),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3803, 3802])).
% 6.15/4.38 tff(3805,plain,
% 6.15/4.38 (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3804, 3801, 273])).
% 6.15/4.38 tff(3806,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3807,plain,
% 6.15/4.38 (((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23)))))) <=> ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3808,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))))),
% 6.15/4.38 inference(monotonicity,[status(thm)],[3807])).
% 6.15/4.38 tff(3809,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 6.15/4.38 inference(transitivity,[status(thm)],[3808, 3806])).
% 6.15/4.38 tff(3810,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3811,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3810, 3809])).
% 6.15/4.38 tff(3812,plain,
% 6.15/4.38 (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3811, 3801, 293])).
% 6.15/4.38 tff(3813,plain,
% 6.15/4.38 ((~v1(constB23)) <=> (~v1(constB23))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3814,axiom,(~v1(constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_23')).
% 6.15/4.38 tff(3815,plain,
% 6.15/4.38 (~v1(constB23)),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3814, 3813])).
% 6.15/4.38 tff(3816,plain,
% 6.15/4.38 (((~v1(constB23)) | (~v102(constB23))) | v1(constB23)),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3817,plain,
% 6.15/4.38 ((~v1(constB23)) | (~v102(constB23))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3816, 3815])).
% 6.15/4.38 tff(3818,plain,
% 6.15/4.38 ((~(v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))) | (~v101(constB23)) | (~((~v1(constB23)) | (~v102(constB23))))),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3819,plain,
% 6.15/4.38 ((~(v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))) | (~v101(constB23))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3818, 3817])).
% 6.15/4.38 tff(3820,plain,
% 6.15/4.38 (~v101(constB23)),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3819, 3812])).
% 6.15/4.38 tff(3821,plain,
% 6.15/4.38 (((~v101(constB23)) | (~v110(constB23))) | v101(constB23)),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3822,plain,
% 6.15/4.38 ((~v101(constB23)) | (~v110(constB23))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3821, 3820])).
% 6.15/4.38 tff(3823,plain,
% 6.15/4.38 ((~(v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23)))))) | (~v100(constB23)) | (~((~v101(constB23)) | (~v110(constB23))))),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3824,plain,
% 6.15/4.38 (~v100(constB23)),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3823, 3822, 3805])).
% 6.15/4.38 tff(3825,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3826,plain,
% 6.15/4.38 ((v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 0)) <=> v90(constB22, 0))))) <=> (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3827,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0))))))),
% 6.15/4.38 inference(monotonicity,[status(thm)],[3826])).
% 6.15/4.38 tff(3828,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))))),
% 6.15/4.38 inference(transitivity,[status(thm)],[3827, 3825])).
% 6.15/4.38 tff(3829,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3830,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0))))),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3829, 3828])).
% 6.15/4.38 tff(3831,plain,
% 6.15/4.38 (v100(constB23) | (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0))))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3830, 3801, 325])).
% 6.15/4.38 tff(3832,plain,
% 6.15/4.38 (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3831, 3824])).
% 6.15/4.38 tff(3833,plain,
% 6.15/4.38 ((((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0))) | (~((~v90(constB23, 2)) <=> v90(constB22, 2)))),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3834,plain,
% 6.15/4.38 (~((~v90(constB23, 2)) <=> v90(constB22, 2))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3833, 3832])).
% 6.15/4.38 tff(3835,plain,
% 6.15/4.38 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3836,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_21')).
% 6.15/4.38 tff(3837,plain,
% 6.15/4.38 (nextState(constB21, constB22)),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 6.15/4.38 tff(3838,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB21, constB22)) | (~(((~v129(constB22, 2)) <=> v127(constB21, 2)) | ((~v129(constB22, 1)) <=> v127(constB21, 1)) | ((~v129(constB22, 0)) <=> v127(constB21, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB21, constB22)) | (~(((~v129(constB22, 2)) <=> v127(constB21, 2)) | ((~v129(constB22, 1)) <=> v127(constB21, 1)) | ((~v129(constB22, 0)) <=> v127(constB21, 0)))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3839,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB21, constB22)) | (~(((~v129(constB22, 2)) <=> v127(constB21, 2)) | ((~v129(constB22, 1)) <=> v127(constB21, 1)) | ((~v129(constB22, 0)) <=> v127(constB21, 0)))))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3840,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB21, constB22)) | (~(((~v129(constB22, 2)) <=> v127(constB21, 2)) | ((~v129(constB22, 1)) <=> v127(constB21, 1)) | ((~v129(constB22, 0)) <=> v127(constB21, 0))))),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 6.15/4.38 tff(3841,plain,
% 6.15/4.38 (~(((~v129(constB22, 2)) <=> v127(constB21, 2)) | ((~v129(constB22, 1)) <=> v127(constB21, 1)) | ((~v129(constB22, 0)) <=> v127(constB21, 0)))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3840, 3837, 348])).
% 6.15/4.38 tff(3842,plain,
% 6.15/4.38 ((((~v129(constB22, 2)) <=> v127(constB21, 2)) | ((~v129(constB22, 1)) <=> v127(constB21, 1)) | ((~v129(constB22, 0)) <=> v127(constB21, 0))) | (~((~v129(constB22, 2)) <=> v127(constB21, 2)))),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3843,plain,
% 6.15/4.38 (~((~v129(constB22, 2)) <=> v127(constB21, 2))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3842, 3841])).
% 6.15/4.38 tff(3844,plain,
% 6.15/4.38 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB21) <=> v26(constB21))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3845,plain,
% 6.15/4.38 (v111(constB21) <=> v26(constB21)),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3844, 367])).
% 6.15/4.38 tff(3846,plain,
% 6.15/4.38 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB21))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3847,plain,
% 6.15/4.38 (~v26(constB21)),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3846, 379])).
% 6.15/4.38 tff(3848,plain,
% 6.15/4.38 ((~(v111(constB21) <=> v26(constB21))) | (~v111(constB21)) | v26(constB21)),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3849,plain,
% 6.15/4.38 ((~(v111(constB21) <=> v26(constB21))) | (~v111(constB21))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3848, 3847])).
% 6.15/4.38 tff(3850,plain,
% 6.15/4.38 (~v111(constB21)),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3849, 3845])).
% 6.15/4.38 tff(3851,plain,
% 6.15/4.38 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB21) | (~(((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB21) | (~(((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0)))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3852,plain,
% 6.15/4.38 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB21) | (~(((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0)))))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3853,plain,
% 6.15/4.38 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB21) | (~(((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0))))),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3852, 3851])).
% 6.15/4.38 tff(3854,plain,
% 6.15/4.38 (v111(constB21) | (~(((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0))))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3853, 397])).
% 6.15/4.38 tff(3855,plain,
% 6.15/4.38 (~(((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0)))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3854, 3850])).
% 6.15/4.38 tff(3856,plain,
% 6.15/4.38 ((((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0))) | (~((~v127(constB21, 2)) <=> v130(constB21, 2)))),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3857,plain,
% 6.15/4.38 (~((~v127(constB21, 2)) <=> v130(constB21, 2))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3856, 3855])).
% 6.15/4.38 tff(3858,plain,
% 6.15/4.38 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB21) <=> (~(v90(constB21, 2) | (~v90(constB21, 1)) | (~v90(constB21, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB21) <=> (~(v90(constB21, 2) | (~v90(constB21, 1)) | (~v90(constB21, 0))))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3859,plain,
% 6.15/4.38 ((v122(constB21) <=> (~(v90(constB21, 2) | (~v90(constB21, 0)) | (~v90(constB21, 1))))) <=> (v122(constB21) <=> (~(v90(constB21, 2) | (~v90(constB21, 1)) | (~v90(constB21, 0)))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3860,plain,
% 6.15/4.38 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB21) <=> (~(v90(constB21, 2) | (~v90(constB21, 0)) | (~v90(constB21, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB21) <=> (~(v90(constB21, 2) | (~v90(constB21, 1)) | (~v90(constB21, 0))))))),
% 6.15/4.38 inference(monotonicity,[status(thm)],[3859])).
% 6.15/4.38 tff(3861,plain,
% 6.15/4.38 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB21) <=> (~(v90(constB21, 2) | (~v90(constB21, 0)) | (~v90(constB21, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB21) <=> (~(v90(constB21, 2) | (~v90(constB21, 1)) | (~v90(constB21, 0))))))),
% 6.15/4.38 inference(transitivity,[status(thm)],[3860, 3858])).
% 6.15/4.38 tff(3862,plain,
% 6.15/4.38 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB21) <=> (~(v90(constB21, 2) | (~v90(constB21, 0)) | (~v90(constB21, 1)))))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3863,plain,
% 6.15/4.38 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB21) <=> (~(v90(constB21, 2) | (~v90(constB21, 1)) | (~v90(constB21, 0)))))),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3862, 3861])).
% 6.15/4.38 tff(3864,plain,
% 6.15/4.38 (v122(constB21) <=> (~(v90(constB21, 2) | (~v90(constB21, 1)) | (~v90(constB21, 0))))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3863, 644])).
% 6.15/4.38 tff(3865,plain,
% 6.15/4.38 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3866,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_20')).
% 6.15/4.38 tff(3867,plain,
% 6.15/4.38 (nextState(constB20, constB21)),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3866, 3865])).
% 6.15/4.38 tff(3868,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3869,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3870,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21)))))),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3869, 3868])).
% 6.15/4.38 tff(3871,plain,
% 6.15/4.38 (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3870, 3867, 273])).
% 6.15/4.38 tff(3872,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3873,plain,
% 6.15/4.38 (((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21)))))) <=> ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3874,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))))),
% 6.15/4.38 inference(monotonicity,[status(thm)],[3873])).
% 6.15/4.38 tff(3875,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 6.15/4.38 inference(transitivity,[status(thm)],[3874, 3872])).
% 6.15/4.38 tff(3876,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3877,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3876, 3875])).
% 6.15/4.38 tff(3878,plain,
% 6.15/4.38 (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3877, 3867, 293])).
% 6.15/4.38 tff(3879,plain,
% 6.15/4.38 ((~v1(constB21)) <=> (~v1(constB21))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3880,axiom,(~v1(constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_21')).
% 6.15/4.38 tff(3881,plain,
% 6.15/4.38 (~v1(constB21)),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3880, 3879])).
% 6.15/4.38 tff(3882,plain,
% 6.15/4.38 (((~v1(constB21)) | (~v102(constB21))) | v1(constB21)),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3883,plain,
% 6.15/4.38 ((~v1(constB21)) | (~v102(constB21))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3882, 3881])).
% 6.15/4.38 tff(3884,plain,
% 6.15/4.38 ((~(v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))) | (~v101(constB21)) | (~((~v1(constB21)) | (~v102(constB21))))),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3885,plain,
% 6.15/4.38 ((~(v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))) | (~v101(constB21))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3884, 3883])).
% 6.15/4.38 tff(3886,plain,
% 6.15/4.38 (~v101(constB21)),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3885, 3878])).
% 6.15/4.38 tff(3887,plain,
% 6.15/4.38 (((~v101(constB21)) | (~v110(constB21))) | v101(constB21)),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3888,plain,
% 6.15/4.38 ((~v101(constB21)) | (~v110(constB21))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3887, 3886])).
% 6.15/4.38 tff(3889,plain,
% 6.15/4.38 ((~(v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21)))))) | (~v100(constB21)) | (~((~v101(constB21)) | (~v110(constB21))))),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3890,plain,
% 6.15/4.38 (~v100(constB21)),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3889, 3888, 3871])).
% 6.15/4.38 tff(3891,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3892,plain,
% 6.15/4.38 ((v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 0)) <=> v90(constB20, 0))))) <=> (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3893,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0))))))),
% 6.15/4.38 inference(monotonicity,[status(thm)],[3892])).
% 6.15/4.38 tff(3894,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))))),
% 6.15/4.38 inference(transitivity,[status(thm)],[3893, 3891])).
% 6.15/4.38 tff(3895,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3896,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0))))),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3895, 3894])).
% 6.15/4.38 tff(3897,plain,
% 6.15/4.38 (v100(constB21) | (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0))))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3896, 3867, 325])).
% 6.15/4.38 tff(3898,plain,
% 6.15/4.38 (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3897, 3890])).
% 6.15/4.38 tff(3899,plain,
% 6.15/4.38 ((((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0))) | (~((~v90(constB21, 2)) <=> v90(constB20, 2)))),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3900,plain,
% 6.15/4.38 (~((~v90(constB21, 2)) <=> v90(constB20, 2))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3899, 3898])).
% 6.15/4.38 tff(3901,plain,
% 6.15/4.38 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3902,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_19')).
% 6.15/4.38 tff(3903,plain,
% 6.15/4.38 (nextState(constB19, constB20)),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3902, 3901])).
% 6.15/4.38 tff(3904,plain,
% 6.15/4.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB19, constB20)) | (~(((~v129(constB20, 2)) <=> v127(constB19, 2)) | ((~v129(constB20, 1)) <=> v127(constB19, 1)) | ((~v129(constB20, 0)) <=> v127(constB19, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB19, constB20)) | (~(((~v129(constB20, 2)) <=> v127(constB19, 2)) | ((~v129(constB20, 1)) <=> v127(constB19, 1)) | ((~v129(constB20, 0)) <=> v127(constB19, 0)))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3905,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB19, constB20)) | (~(((~v129(constB20, 2)) <=> v127(constB19, 2)) | ((~v129(constB20, 1)) <=> v127(constB19, 1)) | ((~v129(constB20, 0)) <=> v127(constB19, 0)))))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3906,plain,
% 6.15/4.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB19, constB20)) | (~(((~v129(constB20, 2)) <=> v127(constB19, 2)) | ((~v129(constB20, 1)) <=> v127(constB19, 1)) | ((~v129(constB20, 0)) <=> v127(constB19, 0))))),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3905, 3904])).
% 6.15/4.38 tff(3907,plain,
% 6.15/4.38 (~(((~v129(constB20, 2)) <=> v127(constB19, 2)) | ((~v129(constB20, 1)) <=> v127(constB19, 1)) | ((~v129(constB20, 0)) <=> v127(constB19, 0)))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3906, 3903, 348])).
% 6.15/4.38 tff(3908,plain,
% 6.15/4.38 ((((~v129(constB20, 2)) <=> v127(constB19, 2)) | ((~v129(constB20, 1)) <=> v127(constB19, 1)) | ((~v129(constB20, 0)) <=> v127(constB19, 0))) | (~((~v129(constB20, 2)) <=> v127(constB19, 2)))),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3909,plain,
% 6.15/4.38 (~((~v129(constB20, 2)) <=> v127(constB19, 2))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3908, 3907])).
% 6.15/4.38 tff(3910,plain,
% 6.15/4.38 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB19) <=> v26(constB19))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3911,plain,
% 6.15/4.38 (v111(constB19) <=> v26(constB19)),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3910, 367])).
% 6.15/4.38 tff(3912,plain,
% 6.15/4.38 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB19))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3913,plain,
% 6.15/4.38 (~v26(constB19)),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3912, 379])).
% 6.15/4.38 tff(3914,plain,
% 6.15/4.38 ((~(v111(constB19) <=> v26(constB19))) | (~v111(constB19)) | v26(constB19)),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3915,plain,
% 6.15/4.38 ((~(v111(constB19) <=> v26(constB19))) | (~v111(constB19))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3914, 3913])).
% 6.15/4.38 tff(3916,plain,
% 6.15/4.38 (~v111(constB19)),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3915, 3911])).
% 6.15/4.38 tff(3917,plain,
% 6.15/4.38 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB19) | (~(((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB19) | (~(((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0)))))),
% 6.15/4.38 inference(rewrite,[status(thm)],[])).
% 6.15/4.38 tff(3918,plain,
% 6.15/4.38 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB19) | (~(((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0)))))),
% 6.15/4.38 inference(quant_inst,[status(thm)],[])).
% 6.15/4.38 tff(3919,plain,
% 6.15/4.38 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB19) | (~(((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0))))),
% 6.15/4.38 inference(modus_ponens,[status(thm)],[3918, 3917])).
% 6.15/4.38 tff(3920,plain,
% 6.15/4.38 (v111(constB19) | (~(((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0))))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3919, 397])).
% 6.15/4.38 tff(3921,plain,
% 6.15/4.38 (~(((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0)))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3920, 3916])).
% 6.15/4.38 tff(3922,plain,
% 6.15/4.38 ((((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0))) | (~((~v127(constB19, 2)) <=> v130(constB19, 2)))),
% 6.15/4.38 inference(tautology,[status(thm)],[])).
% 6.15/4.38 tff(3923,plain,
% 6.15/4.38 (~((~v127(constB19, 2)) <=> v130(constB19, 2))),
% 6.15/4.38 inference(unit_resolution,[status(thm)],[3922, 3921])).
% 6.15/4.38 tff(3924,plain,
% 6.15/4.38 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB19) <=> (~(v90(constB19, 2) | v90(constB19, 0) | (~v90(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB19) <=> (~(v90(constB19, 2) | v90(constB19, 0) | (~v90(constB19, 1))))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(3925,plain,
% 6.15/4.39 ((v121(constB19) <=> (~(v90(constB19, 0) | v90(constB19, 2) | (~v90(constB19, 1))))) <=> (v121(constB19) <=> (~(v90(constB19, 2) | v90(constB19, 0) | (~v90(constB19, 1)))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(3926,plain,
% 6.15/4.39 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB19) <=> (~(v90(constB19, 0) | v90(constB19, 2) | (~v90(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB19) <=> (~(v90(constB19, 2) | v90(constB19, 0) | (~v90(constB19, 1))))))),
% 6.15/4.39 inference(monotonicity,[status(thm)],[3925])).
% 6.15/4.39 tff(3927,plain,
% 6.15/4.39 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB19) <=> (~(v90(constB19, 0) | v90(constB19, 2) | (~v90(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB19) <=> (~(v90(constB19, 2) | v90(constB19, 0) | (~v90(constB19, 1))))))),
% 6.15/4.39 inference(transitivity,[status(thm)],[3926, 3924])).
% 6.15/4.39 tff(3928,plain,
% 6.15/4.39 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB19) <=> (~(v90(constB19, 0) | v90(constB19, 2) | (~v90(constB19, 1)))))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(3929,plain,
% 6.15/4.39 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB19) <=> (~(v90(constB19, 2) | v90(constB19, 0) | (~v90(constB19, 1)))))),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 6.15/4.39 tff(3930,plain,
% 6.15/4.39 (v121(constB19) <=> (~(v90(constB19, 2) | v90(constB19, 0) | (~v90(constB19, 1))))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3929, 723])).
% 6.15/4.39 tff(3931,plain,
% 6.15/4.39 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(3932,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_18')).
% 6.15/4.39 tff(3933,plain,
% 6.15/4.39 (nextState(constB18, constB19)),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[3932, 3931])).
% 6.15/4.39 tff(3934,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(3935,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(3936,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19)))))),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[3935, 3934])).
% 6.15/4.39 tff(3937,plain,
% 6.15/4.39 (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3936, 3933, 273])).
% 6.15/4.39 tff(3938,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(3939,plain,
% 6.15/4.39 (((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19)))))) <=> ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(3940,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))))),
% 6.15/4.39 inference(monotonicity,[status(thm)],[3939])).
% 6.15/4.39 tff(3941,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 6.15/4.39 inference(transitivity,[status(thm)],[3940, 3938])).
% 6.15/4.39 tff(3942,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(3943,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[3942, 3941])).
% 6.15/4.39 tff(3944,plain,
% 6.15/4.39 (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3943, 3933, 293])).
% 6.15/4.39 tff(3945,plain,
% 6.15/4.39 ((~v1(constB19)) <=> (~v1(constB19))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(3946,axiom,(~v1(constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_19')).
% 6.15/4.39 tff(3947,plain,
% 6.15/4.39 (~v1(constB19)),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[3946, 3945])).
% 6.15/4.39 tff(3948,plain,
% 6.15/4.39 (((~v1(constB19)) | (~v102(constB19))) | v1(constB19)),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(3949,plain,
% 6.15/4.39 ((~v1(constB19)) | (~v102(constB19))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3948, 3947])).
% 6.15/4.39 tff(3950,plain,
% 6.15/4.39 ((~(v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))) | (~v101(constB19)) | (~((~v1(constB19)) | (~v102(constB19))))),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(3951,plain,
% 6.15/4.39 ((~(v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))) | (~v101(constB19))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3950, 3949])).
% 6.15/4.39 tff(3952,plain,
% 6.15/4.39 (~v101(constB19)),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3951, 3944])).
% 6.15/4.39 tff(3953,plain,
% 6.15/4.39 (((~v101(constB19)) | (~v110(constB19))) | v101(constB19)),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(3954,plain,
% 6.15/4.39 ((~v101(constB19)) | (~v110(constB19))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3953, 3952])).
% 6.15/4.39 tff(3955,plain,
% 6.15/4.39 ((~(v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19)))))) | (~v100(constB19)) | (~((~v101(constB19)) | (~v110(constB19))))),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(3956,plain,
% 6.15/4.39 (~v100(constB19)),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3955, 3954, 3937])).
% 6.15/4.39 tff(3957,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(3958,plain,
% 6.15/4.39 ((v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 0)) <=> v90(constB18, 0))))) <=> (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(3959,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0))))))),
% 6.15/4.39 inference(monotonicity,[status(thm)],[3958])).
% 6.15/4.39 tff(3960,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))))),
% 6.15/4.39 inference(transitivity,[status(thm)],[3959, 3957])).
% 6.15/4.39 tff(3961,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(3962,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0))))),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[3961, 3960])).
% 6.15/4.39 tff(3963,plain,
% 6.15/4.39 (v100(constB19) | (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0))))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3962, 3933, 325])).
% 6.15/4.39 tff(3964,plain,
% 6.15/4.39 (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3963, 3956])).
% 6.15/4.39 tff(3965,plain,
% 6.15/4.39 ((((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0))) | (~((~v90(constB19, 2)) <=> v90(constB18, 2)))),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(3966,plain,
% 6.15/4.39 (~((~v90(constB19, 2)) <=> v90(constB18, 2))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3965, 3964])).
% 6.15/4.39 tff(3967,plain,
% 6.15/4.39 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(3968,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_17')).
% 6.15/4.39 tff(3969,plain,
% 6.15/4.39 (nextState(constB17, constB18)),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[3968, 3967])).
% 6.15/4.39 tff(3970,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB17, constB18)) | (~(((~v129(constB18, 2)) <=> v127(constB17, 2)) | ((~v129(constB18, 1)) <=> v127(constB17, 1)) | ((~v129(constB18, 0)) <=> v127(constB17, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB17, constB18)) | (~(((~v129(constB18, 2)) <=> v127(constB17, 2)) | ((~v129(constB18, 1)) <=> v127(constB17, 1)) | ((~v129(constB18, 0)) <=> v127(constB17, 0)))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(3971,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB17, constB18)) | (~(((~v129(constB18, 2)) <=> v127(constB17, 2)) | ((~v129(constB18, 1)) <=> v127(constB17, 1)) | ((~v129(constB18, 0)) <=> v127(constB17, 0)))))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(3972,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB17, constB18)) | (~(((~v129(constB18, 2)) <=> v127(constB17, 2)) | ((~v129(constB18, 1)) <=> v127(constB17, 1)) | ((~v129(constB18, 0)) <=> v127(constB17, 0))))),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 6.15/4.39 tff(3973,plain,
% 6.15/4.39 (~(((~v129(constB18, 2)) <=> v127(constB17, 2)) | ((~v129(constB18, 1)) <=> v127(constB17, 1)) | ((~v129(constB18, 0)) <=> v127(constB17, 0)))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3972, 3969, 348])).
% 6.15/4.39 tff(3974,plain,
% 6.15/4.39 ((((~v129(constB18, 2)) <=> v127(constB17, 2)) | ((~v129(constB18, 1)) <=> v127(constB17, 1)) | ((~v129(constB18, 0)) <=> v127(constB17, 0))) | (~((~v129(constB18, 2)) <=> v127(constB17, 2)))),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(3975,plain,
% 6.15/4.39 (~((~v129(constB18, 2)) <=> v127(constB17, 2))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3974, 3973])).
% 6.15/4.39 tff(3976,plain,
% 6.15/4.39 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB17) <=> v26(constB17))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(3977,plain,
% 6.15/4.39 (v111(constB17) <=> v26(constB17)),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3976, 367])).
% 6.15/4.39 tff(3978,plain,
% 6.15/4.39 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB17))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(3979,plain,
% 6.15/4.39 (~v26(constB17)),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3978, 379])).
% 6.15/4.39 tff(3980,plain,
% 6.15/4.39 ((~(v111(constB17) <=> v26(constB17))) | (~v111(constB17)) | v26(constB17)),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(3981,plain,
% 6.15/4.39 ((~(v111(constB17) <=> v26(constB17))) | (~v111(constB17))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3980, 3979])).
% 6.15/4.39 tff(3982,plain,
% 6.15/4.39 (~v111(constB17)),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3981, 3977])).
% 6.15/4.39 tff(3983,plain,
% 6.15/4.39 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB17) | (~(((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB17) | (~(((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0)))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(3984,plain,
% 6.15/4.39 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB17) | (~(((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0)))))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(3985,plain,
% 6.15/4.39 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB17) | (~(((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0))))),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[3984, 3983])).
% 6.15/4.39 tff(3986,plain,
% 6.15/4.39 (v111(constB17) | (~(((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0))))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3985, 397])).
% 6.15/4.39 tff(3987,plain,
% 6.15/4.39 (~(((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0)))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3986, 3982])).
% 6.15/4.39 tff(3988,plain,
% 6.15/4.39 ((((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0))) | (~((~v127(constB17, 2)) <=> v130(constB17, 2)))),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(3989,plain,
% 6.15/4.39 (~((~v127(constB17, 2)) <=> v130(constB17, 2))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3988, 3987])).
% 6.15/4.39 tff(3990,plain,
% 6.15/4.39 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB17) <=> (~(v90(constB17, 1) | v90(constB17, 2) | (~v90(constB17, 0)))))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(3991,plain,
% 6.15/4.39 (v120(constB17) <=> (~(v90(constB17, 1) | v90(constB17, 2) | (~v90(constB17, 0))))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3990, 417])).
% 6.15/4.39 tff(3992,plain,
% 6.15/4.39 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(3993,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_16')).
% 6.15/4.39 tff(3994,plain,
% 6.15/4.39 (nextState(constB16, constB17)),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[3993, 3992])).
% 6.15/4.39 tff(3995,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(3996,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(3997,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17)))))),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 6.15/4.39 tff(3998,plain,
% 6.15/4.39 (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[3997, 3994, 273])).
% 6.15/4.39 tff(3999,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(4000,plain,
% 6.15/4.39 (((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17)))))) <=> ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(4001,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))))),
% 6.15/4.39 inference(monotonicity,[status(thm)],[4000])).
% 6.15/4.39 tff(4002,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 6.15/4.39 inference(transitivity,[status(thm)],[4001, 3999])).
% 6.15/4.39 tff(4003,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(4004,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[4003, 4002])).
% 6.15/4.39 tff(4005,plain,
% 6.15/4.39 (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4004, 3994, 293])).
% 6.15/4.39 tff(4006,plain,
% 6.15/4.39 ((~v1(constB17)) <=> (~v1(constB17))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(4007,axiom,(~v1(constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_17')).
% 6.15/4.39 tff(4008,plain,
% 6.15/4.39 (~v1(constB17)),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[4007, 4006])).
% 6.15/4.39 tff(4009,plain,
% 6.15/4.39 (((~v1(constB17)) | (~v102(constB17))) | v1(constB17)),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(4010,plain,
% 6.15/4.39 ((~v1(constB17)) | (~v102(constB17))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4009, 4008])).
% 6.15/4.39 tff(4011,plain,
% 6.15/4.39 ((~(v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))) | (~v101(constB17)) | (~((~v1(constB17)) | (~v102(constB17))))),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(4012,plain,
% 6.15/4.39 ((~(v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))) | (~v101(constB17))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4011, 4010])).
% 6.15/4.39 tff(4013,plain,
% 6.15/4.39 (~v101(constB17)),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4012, 4005])).
% 6.15/4.39 tff(4014,plain,
% 6.15/4.39 (((~v101(constB17)) | (~v110(constB17))) | v101(constB17)),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(4015,plain,
% 6.15/4.39 ((~v101(constB17)) | (~v110(constB17))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4014, 4013])).
% 6.15/4.39 tff(4016,plain,
% 6.15/4.39 ((~(v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17)))))) | (~v100(constB17)) | (~((~v101(constB17)) | (~v110(constB17))))),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(4017,plain,
% 6.15/4.39 (~v100(constB17)),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4016, 4015, 3998])).
% 6.15/4.39 tff(4018,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(4019,plain,
% 6.15/4.39 ((v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 0)) <=> v90(constB16, 0))))) <=> (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(4020,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0))))))),
% 6.15/4.39 inference(monotonicity,[status(thm)],[4019])).
% 6.15/4.39 tff(4021,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))))),
% 6.15/4.39 inference(transitivity,[status(thm)],[4020, 4018])).
% 6.15/4.39 tff(4022,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(4023,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0))))),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[4022, 4021])).
% 6.15/4.39 tff(4024,plain,
% 6.15/4.39 (v100(constB17) | (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0))))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4023, 3994, 325])).
% 6.15/4.39 tff(4025,plain,
% 6.15/4.39 (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4024, 4017])).
% 6.15/4.39 tff(4026,plain,
% 6.15/4.39 ((((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0))) | (~((~v90(constB17, 2)) <=> v90(constB16, 2)))),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(4027,plain,
% 6.15/4.39 (~((~v90(constB17, 2)) <=> v90(constB16, 2))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4026, 4025])).
% 6.15/4.39 tff(4028,plain,
% 6.15/4.39 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(4029,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_15')).
% 6.15/4.39 tff(4030,plain,
% 6.15/4.39 (nextState(constB15, constB16)),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[4029, 4028])).
% 6.15/4.39 tff(4031,plain,
% 6.15/4.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB15, constB16)) | (~(((~v129(constB16, 2)) <=> v127(constB15, 2)) | ((~v129(constB16, 1)) <=> v127(constB15, 1)) | ((~v129(constB16, 0)) <=> v127(constB15, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB15, constB16)) | (~(((~v129(constB16, 2)) <=> v127(constB15, 2)) | ((~v129(constB16, 1)) <=> v127(constB15, 1)) | ((~v129(constB16, 0)) <=> v127(constB15, 0)))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(4032,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB15, constB16)) | (~(((~v129(constB16, 2)) <=> v127(constB15, 2)) | ((~v129(constB16, 1)) <=> v127(constB15, 1)) | ((~v129(constB16, 0)) <=> v127(constB15, 0)))))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(4033,plain,
% 6.15/4.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB15, constB16)) | (~(((~v129(constB16, 2)) <=> v127(constB15, 2)) | ((~v129(constB16, 1)) <=> v127(constB15, 1)) | ((~v129(constB16, 0)) <=> v127(constB15, 0))))),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[4032, 4031])).
% 6.15/4.39 tff(4034,plain,
% 6.15/4.39 (~(((~v129(constB16, 2)) <=> v127(constB15, 2)) | ((~v129(constB16, 1)) <=> v127(constB15, 1)) | ((~v129(constB16, 0)) <=> v127(constB15, 0)))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4033, 4030, 348])).
% 6.15/4.39 tff(4035,plain,
% 6.15/4.39 ((((~v129(constB16, 2)) <=> v127(constB15, 2)) | ((~v129(constB16, 1)) <=> v127(constB15, 1)) | ((~v129(constB16, 0)) <=> v127(constB15, 0))) | (~((~v129(constB16, 2)) <=> v127(constB15, 2)))),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(4036,plain,
% 6.15/4.39 (~((~v129(constB16, 2)) <=> v127(constB15, 2))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4035, 4034])).
% 6.15/4.39 tff(4037,plain,
% 6.15/4.39 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB15) <=> v26(constB15))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(4038,plain,
% 6.15/4.39 (v111(constB15) <=> v26(constB15)),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4037, 367])).
% 6.15/4.39 tff(4039,plain,
% 6.15/4.39 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB15))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(4040,plain,
% 6.15/4.39 (~v26(constB15)),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4039, 379])).
% 6.15/4.39 tff(4041,plain,
% 6.15/4.39 ((~(v111(constB15) <=> v26(constB15))) | (~v111(constB15)) | v26(constB15)),
% 6.15/4.39 inference(tautology,[status(thm)],[])).
% 6.15/4.39 tff(4042,plain,
% 6.15/4.39 ((~(v111(constB15) <=> v26(constB15))) | (~v111(constB15))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4041, 4040])).
% 6.15/4.39 tff(4043,plain,
% 6.15/4.39 (~v111(constB15)),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4042, 4038])).
% 6.15/4.39 tff(4044,plain,
% 6.15/4.39 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB15) | (~(((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB15) | (~(((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0)))))),
% 6.15/4.39 inference(rewrite,[status(thm)],[])).
% 6.15/4.39 tff(4045,plain,
% 6.15/4.39 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB15) | (~(((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0)))))),
% 6.15/4.39 inference(quant_inst,[status(thm)],[])).
% 6.15/4.39 tff(4046,plain,
% 6.15/4.39 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB15) | (~(((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0))))),
% 6.15/4.39 inference(modus_ponens,[status(thm)],[4045, 4044])).
% 6.15/4.39 tff(4047,plain,
% 6.15/4.39 (v111(constB15) | (~(((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0))))),
% 6.15/4.39 inference(unit_resolution,[status(thm)],[4046, 397])).
% 6.15/4.39 tff(4048,plain,
% 6.15/4.39 (~(((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0)))),
% 6.15/4.40 inference(unit_resolution,[status(thm)],[4047, 4043])).
% 6.15/4.40 tff(4049,plain,
% 6.15/4.40 ((((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0))) | (~((~v127(constB15, 2)) <=> v130(constB15, 2)))),
% 6.15/4.40 inference(tautology,[status(thm)],[])).
% 6.15/4.40 tff(4050,plain,
% 6.15/4.40 (~((~v127(constB15, 2)) <=> v130(constB15, 2))),
% 6.15/4.40 inference(unit_resolution,[status(thm)],[4049, 4048])).
% 6.15/4.40 tff(4051,plain,
% 6.15/4.40 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB15) <=> (~(v90(constB15, 1) | v90(constB15, 2) | (~v90(constB15, 0)))))),
% 6.15/4.40 inference(quant_inst,[status(thm)],[])).
% 6.15/4.40 tff(4052,plain,
% 6.15/4.40 (v120(constB15) <=> (~(v90(constB15, 1) | v90(constB15, 2) | (~v90(constB15, 0))))),
% 6.15/4.40 inference(unit_resolution,[status(thm)],[4051, 417])).
% 6.15/4.40 tff(4053,plain,
% 6.15/4.40 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 6.15/4.40 inference(rewrite,[status(thm)],[])).
% 6.15/4.40 tff(4054,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_14')).
% 6.15/4.40 tff(4055,plain,
% 6.15/4.40 (nextState(constB14, constB15)),
% 6.15/4.40 inference(modus_ponens,[status(thm)],[4054, 4053])).
% 6.15/4.40 tff(4056,plain,
% 6.15/4.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))),
% 6.15/4.40 inference(rewrite,[status(thm)],[])).
% 6.15/4.40 tff(4057,plain,
% 6.15/4.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))),
% 6.15/4.40 inference(quant_inst,[status(thm)],[])).
% 6.15/4.40 tff(4058,plain,
% 6.15/4.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15)))))),
% 6.15/4.40 inference(modus_ponens,[status(thm)],[4057, 4056])).
% 6.15/4.40 tff(4059,plain,
% 6.15/4.40 (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))),
% 6.15/4.40 inference(unit_resolution,[status(thm)],[4058, 4055, 273])).
% 6.15/4.40 tff(4060,plain,
% 6.15/4.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 6.15/4.40 inference(rewrite,[status(thm)],[])).
% 6.15/4.40 tff(4061,plain,
% 6.15/4.40 (((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15)))))) <=> ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 6.15/4.40 inference(rewrite,[status(thm)],[])).
% 6.15/4.40 tff(4062,plain,
% 6.15/4.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))))),
% 6.15/4.40 inference(monotonicity,[status(thm)],[4061])).
% 6.15/4.40 tff(4063,plain,
% 6.15/4.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 6.15/4.40 inference(transitivity,[status(thm)],[4062, 4060])).
% 6.15/4.40 tff(4064,plain,
% 6.15/4.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))),
% 6.15/4.40 inference(quant_inst,[status(thm)],[])).
% 6.15/4.40 tff(4065,plain,
% 6.15/4.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))),
% 6.15/4.40 inference(modus_ponens,[status(thm)],[4064, 4063])).
% 6.15/4.40 tff(4066,plain,
% 6.15/4.40 (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))),
% 6.15/4.40 inference(unit_resolution,[status(thm)],[4065, 4055, 293])).
% 6.15/4.40 tff(4067,plain,
% 6.15/4.40 ((~v1(constB15)) <=> (~v1(constB15))),
% 6.15/4.40 inference(rewrite,[status(thm)],[])).
% 6.15/4.40 tff(4068,axiom,(~v1(constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_15')).
% 6.15/4.40 tff(4069,plain,
% 6.15/4.40 (~v1(constB15)),
% 6.15/4.40 inference(modus_ponens,[status(thm)],[4068, 4067])).
% 6.15/4.40 tff(4070,plain,
% 6.15/4.40 (((~v1(constB15)) | (~v102(constB15))) | v1(constB15)),
% 6.15/4.40 inference(tautology,[status(thm)],[])).
% 6.15/4.40 tff(4071,plain,
% 6.15/4.40 ((~v1(constB15)) | (~v102(constB15))),
% 6.15/4.40 inference(unit_resolution,[status(thm)],[4070, 4069])).
% 6.15/4.40 tff(4072,plain,
% 6.15/4.40 ((~(v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))) | (~v101(constB15)) | (~((~v1(constB15)) | (~v102(constB15))))),
% 6.15/4.40 inference(tautology,[status(thm)],[])).
% 6.15/4.40 tff(4073,plain,
% 6.15/4.40 ((~(v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))) | (~v101(constB15))),
% 6.15/4.40 inference(unit_resolution,[status(thm)],[4072, 4071])).
% 6.15/4.40 tff(4074,plain,
% 6.15/4.40 (~v101(constB15)),
% 6.15/4.40 inference(unit_resolution,[status(thm)],[4073, 4066])).
% 6.15/4.40 tff(4075,plain,
% 6.15/4.40 (((~v101(constB15)) | (~v110(constB15))) | v101(constB15)),
% 6.15/4.40 inference(tautology,[status(thm)],[])).
% 6.15/4.40 tff(4076,plain,
% 6.15/4.40 ((~v101(constB15)) | (~v110(constB15))),
% 6.15/4.40 inference(unit_resolution,[status(thm)],[4075, 4074])).
% 6.15/4.40 tff(4077,plain,
% 6.15/4.40 ((~(v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15)))))) | (~v100(constB15)) | (~((~v101(constB15)) | (~v110(constB15))))),
% 6.15/4.40 inference(tautology,[status(thm)],[])).
% 6.15/4.40 tff(4078,plain,
% 6.15/4.40 (~v100(constB15)),
% 6.15/4.40 inference(unit_resolution,[status(thm)],[4077, 4076, 4059])).
% 6.15/4.40 tff(4079,plain,
% 6.15/4.40 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))))),
% 6.15/4.40 inference(rewrite,[status(thm)],[])).
% 6.15/4.40 tff(4080,plain,
% 6.15/4.40 ((v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 0)) <=> v90(constB14, 0))))) <=> (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))))),
% 6.15/4.40 inference(rewrite,[status(thm)],[])).
% 6.15/4.40 tff(4081,plain,
% 6.15/4.40 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0))))))),
% 6.15/4.40 inference(monotonicity,[status(thm)],[4080])).
% 6.15/4.40 tff(4082,plain,
% 6.15/4.40 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))))),
% 6.15/4.40 inference(transitivity,[status(thm)],[4081, 4079])).
% 6.15/4.40 tff(4083,plain,
% 6.15/4.40 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))))),
% 6.15/4.40 inference(quant_inst,[status(thm)],[])).
% 6.15/4.40 tff(4084,plain,
% 6.15/4.40 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0))))),
% 6.15/4.40 inference(modus_ponens,[status(thm)],[4083, 4082])).
% 6.15/4.40 tff(4085,plain,
% 6.15/4.40 (v100(constB15) | (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0))))),
% 6.15/4.40 inference(unit_resolution,[status(thm)],[4084, 4055, 325])).
% 6.15/4.40 tff(4086,plain,
% 6.15/4.40 (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))),
% 6.15/4.40 inference(unit_resolution,[status(thm)],[4085, 4078])).
% 6.15/4.40 tff(4087,plain,
% 6.15/4.40 ((((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0))) | (~((~v90(constB15, 0)) <=> v90(constB14, 0)))),
% 6.15/4.40 inference(tautology,[status(thm)],[])).
% 6.15/4.40 tff(4088,plain,
% 6.15/4.40 (~((~v90(constB15, 0)) <=> v90(constB14, 0))),
% 6.15/4.40 inference(unit_resolution,[status(thm)],[4087, 4086])).
% 6.15/4.40 tff(4089,plain,
% 6.15/4.40 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 6.15/4.40 inference(rewrite,[status(thm)],[])).
% 6.15/4.40 tff(4090,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_13')).
% 6.15/4.40 tff(4091,plain,
% 6.15/4.40 (nextState(constB13, constB14)),
% 6.21/4.40 inference(modus_ponens,[status(thm)],[4090, 4089])).
% 6.21/4.40 tff(4092,plain,
% 6.21/4.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB13, constB14)) | (~(((~v129(constB14, 2)) <=> v127(constB13, 2)) | ((~v129(constB14, 1)) <=> v127(constB13, 1)) | ((~v129(constB14, 0)) <=> v127(constB13, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB13, constB14)) | (~(((~v129(constB14, 2)) <=> v127(constB13, 2)) | ((~v129(constB14, 1)) <=> v127(constB13, 1)) | ((~v129(constB14, 0)) <=> v127(constB13, 0)))))),
% 6.21/4.40 inference(rewrite,[status(thm)],[])).
% 6.21/4.40 tff(4093,plain,
% 6.21/4.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB13, constB14)) | (~(((~v129(constB14, 2)) <=> v127(constB13, 2)) | ((~v129(constB14, 1)) <=> v127(constB13, 1)) | ((~v129(constB14, 0)) <=> v127(constB13, 0)))))),
% 6.21/4.40 inference(quant_inst,[status(thm)],[])).
% 6.21/4.40 tff(4094,plain,
% 6.21/4.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB13, constB14)) | (~(((~v129(constB14, 2)) <=> v127(constB13, 2)) | ((~v129(constB14, 1)) <=> v127(constB13, 1)) | ((~v129(constB14, 0)) <=> v127(constB13, 0))))),
% 6.21/4.40 inference(modus_ponens,[status(thm)],[4093, 4092])).
% 6.21/4.40 tff(4095,plain,
% 6.21/4.40 (~(((~v129(constB14, 2)) <=> v127(constB13, 2)) | ((~v129(constB14, 1)) <=> v127(constB13, 1)) | ((~v129(constB14, 0)) <=> v127(constB13, 0)))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4094, 4091, 348])).
% 6.21/4.40 tff(4096,plain,
% 6.21/4.40 ((((~v129(constB14, 2)) <=> v127(constB13, 2)) | ((~v129(constB14, 1)) <=> v127(constB13, 1)) | ((~v129(constB14, 0)) <=> v127(constB13, 0))) | (~((~v129(constB14, 0)) <=> v127(constB13, 0)))),
% 6.21/4.40 inference(tautology,[status(thm)],[])).
% 6.21/4.40 tff(4097,plain,
% 6.21/4.40 (~((~v129(constB14, 0)) <=> v127(constB13, 0))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4096, 4095])).
% 6.21/4.40 tff(4098,plain,
% 6.21/4.40 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB13) <=> v26(constB13))),
% 6.21/4.40 inference(quant_inst,[status(thm)],[])).
% 6.21/4.40 tff(4099,plain,
% 6.21/4.40 (v111(constB13) <=> v26(constB13)),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4098, 367])).
% 6.21/4.40 tff(4100,plain,
% 6.21/4.40 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB13))),
% 6.21/4.40 inference(quant_inst,[status(thm)],[])).
% 6.21/4.40 tff(4101,plain,
% 6.21/4.40 (~v26(constB13)),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4100, 379])).
% 6.21/4.40 tff(4102,plain,
% 6.21/4.40 ((~(v111(constB13) <=> v26(constB13))) | (~v111(constB13)) | v26(constB13)),
% 6.21/4.40 inference(tautology,[status(thm)],[])).
% 6.21/4.40 tff(4103,plain,
% 6.21/4.40 ((~(v111(constB13) <=> v26(constB13))) | (~v111(constB13))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4102, 4101])).
% 6.21/4.40 tff(4104,plain,
% 6.21/4.40 (~v111(constB13)),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4103, 4099])).
% 6.21/4.40 tff(4105,plain,
% 6.21/4.40 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB13) | (~(((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB13) | (~(((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0)))))),
% 6.21/4.40 inference(rewrite,[status(thm)],[])).
% 6.21/4.40 tff(4106,plain,
% 6.21/4.40 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB13) | (~(((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0)))))),
% 6.21/4.40 inference(quant_inst,[status(thm)],[])).
% 6.21/4.40 tff(4107,plain,
% 6.21/4.40 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB13) | (~(((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0))))),
% 6.21/4.40 inference(modus_ponens,[status(thm)],[4106, 4105])).
% 6.21/4.40 tff(4108,plain,
% 6.21/4.40 (v111(constB13) | (~(((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0))))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4107, 397])).
% 6.21/4.40 tff(4109,plain,
% 6.21/4.40 (~(((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0)))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4108, 4104])).
% 6.21/4.40 tff(4110,plain,
% 6.21/4.40 ((((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0))) | (~((~v127(constB13, 0)) <=> v130(constB13, 0)))),
% 6.21/4.40 inference(tautology,[status(thm)],[])).
% 6.21/4.40 tff(4111,plain,
% 6.21/4.40 (~((~v127(constB13, 0)) <=> v130(constB13, 0))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4110, 4109])).
% 6.21/4.40 tff(4112,plain,
% 6.21/4.40 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB13) <=> (~(v90(constB13, 1) | v90(constB13, 0) | (~v90(constB13, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB13) <=> (~(v90(constB13, 1) | v90(constB13, 0) | (~v90(constB13, 2))))))),
% 6.21/4.40 inference(rewrite,[status(thm)],[])).
% 6.21/4.40 tff(4113,plain,
% 6.21/4.40 ((v123(constB13) <=> (~(v90(constB13, 0) | v90(constB13, 1) | (~v90(constB13, 2))))) <=> (v123(constB13) <=> (~(v90(constB13, 1) | v90(constB13, 0) | (~v90(constB13, 2)))))),
% 6.21/4.40 inference(rewrite,[status(thm)],[])).
% 6.21/4.40 tff(4114,plain,
% 6.21/4.40 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB13) <=> (~(v90(constB13, 0) | v90(constB13, 1) | (~v90(constB13, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB13) <=> (~(v90(constB13, 1) | v90(constB13, 0) | (~v90(constB13, 2))))))),
% 6.21/4.40 inference(monotonicity,[status(thm)],[4113])).
% 6.21/4.40 tff(4115,plain,
% 6.21/4.40 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB13) <=> (~(v90(constB13, 0) | v90(constB13, 1) | (~v90(constB13, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB13) <=> (~(v90(constB13, 1) | v90(constB13, 0) | (~v90(constB13, 2))))))),
% 6.21/4.40 inference(transitivity,[status(thm)],[4114, 4112])).
% 6.21/4.40 tff(4116,plain,
% 6.21/4.40 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB13) <=> (~(v90(constB13, 0) | v90(constB13, 1) | (~v90(constB13, 2)))))),
% 6.21/4.40 inference(quant_inst,[status(thm)],[])).
% 6.21/4.40 tff(4117,plain,
% 6.21/4.40 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB13) <=> (~(v90(constB13, 1) | v90(constB13, 0) | (~v90(constB13, 2)))))),
% 6.21/4.40 inference(modus_ponens,[status(thm)],[4116, 4115])).
% 6.21/4.40 tff(4118,plain,
% 6.21/4.40 (v123(constB13) <=> (~(v90(constB13, 1) | v90(constB13, 0) | (~v90(constB13, 2))))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4117, 565])).
% 6.21/4.40 tff(4119,plain,
% 6.21/4.40 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 6.21/4.40 inference(rewrite,[status(thm)],[])).
% 6.21/4.40 tff(4120,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_12')).
% 6.21/4.40 tff(4121,plain,
% 6.21/4.40 (nextState(constB12, constB13)),
% 6.21/4.40 inference(modus_ponens,[status(thm)],[4120, 4119])).
% 6.21/4.40 tff(4122,plain,
% 6.21/4.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))),
% 6.21/4.40 inference(rewrite,[status(thm)],[])).
% 6.21/4.40 tff(4123,plain,
% 6.21/4.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))),
% 6.21/4.40 inference(quant_inst,[status(thm)],[])).
% 6.21/4.40 tff(4124,plain,
% 6.21/4.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13)))))),
% 6.21/4.40 inference(modus_ponens,[status(thm)],[4123, 4122])).
% 6.21/4.40 tff(4125,plain,
% 6.21/4.40 (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4124, 4121, 273])).
% 6.21/4.40 tff(4126,plain,
% 6.21/4.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 6.21/4.40 inference(rewrite,[status(thm)],[])).
% 6.21/4.40 tff(4127,plain,
% 6.21/4.40 (((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13)))))) <=> ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 6.21/4.40 inference(rewrite,[status(thm)],[])).
% 6.21/4.40 tff(4128,plain,
% 6.21/4.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))))),
% 6.21/4.40 inference(monotonicity,[status(thm)],[4127])).
% 6.21/4.40 tff(4129,plain,
% 6.21/4.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 6.21/4.40 inference(transitivity,[status(thm)],[4128, 4126])).
% 6.21/4.40 tff(4130,plain,
% 6.21/4.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))),
% 6.21/4.40 inference(quant_inst,[status(thm)],[])).
% 6.21/4.40 tff(4131,plain,
% 6.21/4.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))),
% 6.21/4.40 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 6.21/4.40 tff(4132,plain,
% 6.21/4.40 (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4131, 4121, 293])).
% 6.21/4.40 tff(4133,plain,
% 6.21/4.40 ((~v1(constB13)) <=> (~v1(constB13))),
% 6.21/4.40 inference(rewrite,[status(thm)],[])).
% 6.21/4.40 tff(4134,axiom,(~v1(constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_13')).
% 6.21/4.40 tff(4135,plain,
% 6.21/4.40 (~v1(constB13)),
% 6.21/4.40 inference(modus_ponens,[status(thm)],[4134, 4133])).
% 6.21/4.40 tff(4136,plain,
% 6.21/4.40 (((~v1(constB13)) | (~v102(constB13))) | v1(constB13)),
% 6.21/4.40 inference(tautology,[status(thm)],[])).
% 6.21/4.40 tff(4137,plain,
% 6.21/4.40 ((~v1(constB13)) | (~v102(constB13))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4136, 4135])).
% 6.21/4.40 tff(4138,plain,
% 6.21/4.40 ((~(v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))) | (~v101(constB13)) | (~((~v1(constB13)) | (~v102(constB13))))),
% 6.21/4.40 inference(tautology,[status(thm)],[])).
% 6.21/4.40 tff(4139,plain,
% 6.21/4.40 ((~(v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))) | (~v101(constB13))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4138, 4137])).
% 6.21/4.40 tff(4140,plain,
% 6.21/4.40 (~v101(constB13)),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4139, 4132])).
% 6.21/4.40 tff(4141,plain,
% 6.21/4.40 (((~v101(constB13)) | (~v110(constB13))) | v101(constB13)),
% 6.21/4.40 inference(tautology,[status(thm)],[])).
% 6.21/4.40 tff(4142,plain,
% 6.21/4.40 ((~v101(constB13)) | (~v110(constB13))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4141, 4140])).
% 6.21/4.40 tff(4143,plain,
% 6.21/4.40 ((~(v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13)))))) | (~v100(constB13)) | (~((~v101(constB13)) | (~v110(constB13))))),
% 6.21/4.40 inference(tautology,[status(thm)],[])).
% 6.21/4.40 tff(4144,plain,
% 6.21/4.40 (~v100(constB13)),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4143, 4142, 4125])).
% 6.21/4.40 tff(4145,plain,
% 6.21/4.40 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))))),
% 6.21/4.40 inference(rewrite,[status(thm)],[])).
% 6.21/4.40 tff(4146,plain,
% 6.21/4.40 ((v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 0)) <=> v90(constB12, 0))))) <=> (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))))),
% 6.21/4.40 inference(rewrite,[status(thm)],[])).
% 6.21/4.40 tff(4147,plain,
% 6.21/4.40 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0))))))),
% 6.21/4.40 inference(monotonicity,[status(thm)],[4146])).
% 6.21/4.40 tff(4148,plain,
% 6.21/4.40 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))))),
% 6.21/4.40 inference(transitivity,[status(thm)],[4147, 4145])).
% 6.21/4.40 tff(4149,plain,
% 6.21/4.40 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))))),
% 6.21/4.40 inference(quant_inst,[status(thm)],[])).
% 6.21/4.40 tff(4150,plain,
% 6.21/4.40 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0))))),
% 6.21/4.40 inference(modus_ponens,[status(thm)],[4149, 4148])).
% 6.21/4.40 tff(4151,plain,
% 6.21/4.40 (v100(constB13) | (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0))))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4150, 4121, 325])).
% 6.21/4.40 tff(4152,plain,
% 6.21/4.40 (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4151, 4144])).
% 6.21/4.40 tff(4153,plain,
% 6.21/4.40 ((((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0))) | (~((~v90(constB13, 2)) <=> v90(constB12, 2)))),
% 6.21/4.40 inference(tautology,[status(thm)],[])).
% 6.21/4.40 tff(4154,plain,
% 6.21/4.40 (~((~v90(constB13, 2)) <=> v90(constB12, 2))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4153, 4152])).
% 6.21/4.40 tff(4155,plain,
% 6.21/4.40 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 6.21/4.40 inference(rewrite,[status(thm)],[])).
% 6.21/4.40 tff(4156,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_11')).
% 6.21/4.40 tff(4157,plain,
% 6.21/4.40 (nextState(constB11, constB12)),
% 6.21/4.40 inference(modus_ponens,[status(thm)],[4156, 4155])).
% 6.21/4.40 tff(4158,plain,
% 6.21/4.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB11, constB12)) | (~(((~v129(constB12, 2)) <=> v127(constB11, 2)) | ((~v129(constB12, 1)) <=> v127(constB11, 1)) | ((~v129(constB12, 0)) <=> v127(constB11, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB11, constB12)) | (~(((~v129(constB12, 2)) <=> v127(constB11, 2)) | ((~v129(constB12, 1)) <=> v127(constB11, 1)) | ((~v129(constB12, 0)) <=> v127(constB11, 0)))))),
% 6.21/4.40 inference(rewrite,[status(thm)],[])).
% 6.21/4.40 tff(4159,plain,
% 6.21/4.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB11, constB12)) | (~(((~v129(constB12, 2)) <=> v127(constB11, 2)) | ((~v129(constB12, 1)) <=> v127(constB11, 1)) | ((~v129(constB12, 0)) <=> v127(constB11, 0)))))),
% 6.21/4.40 inference(quant_inst,[status(thm)],[])).
% 6.21/4.40 tff(4160,plain,
% 6.21/4.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB11, constB12)) | (~(((~v129(constB12, 2)) <=> v127(constB11, 2)) | ((~v129(constB12, 1)) <=> v127(constB11, 1)) | ((~v129(constB12, 0)) <=> v127(constB11, 0))))),
% 6.21/4.40 inference(modus_ponens,[status(thm)],[4159, 4158])).
% 6.21/4.40 tff(4161,plain,
% 6.21/4.40 (~(((~v129(constB12, 2)) <=> v127(constB11, 2)) | ((~v129(constB12, 1)) <=> v127(constB11, 1)) | ((~v129(constB12, 0)) <=> v127(constB11, 0)))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4160, 4157, 348])).
% 6.21/4.40 tff(4162,plain,
% 6.21/4.40 ((((~v129(constB12, 2)) <=> v127(constB11, 2)) | ((~v129(constB12, 1)) <=> v127(constB11, 1)) | ((~v129(constB12, 0)) <=> v127(constB11, 0))) | (~((~v129(constB12, 2)) <=> v127(constB11, 2)))),
% 6.21/4.40 inference(tautology,[status(thm)],[])).
% 6.21/4.40 tff(4163,plain,
% 6.21/4.40 (~((~v129(constB12, 2)) <=> v127(constB11, 2))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4162, 4161])).
% 6.21/4.40 tff(4164,plain,
% 6.21/4.40 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB11) <=> v26(constB11))),
% 6.21/4.40 inference(quant_inst,[status(thm)],[])).
% 6.21/4.40 tff(4165,plain,
% 6.21/4.40 (v111(constB11) <=> v26(constB11)),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4164, 367])).
% 6.21/4.40 tff(4166,plain,
% 6.21/4.40 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB11))),
% 6.21/4.40 inference(quant_inst,[status(thm)],[])).
% 6.21/4.40 tff(4167,plain,
% 6.21/4.40 (~v26(constB11)),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4166, 379])).
% 6.21/4.40 tff(4168,plain,
% 6.21/4.40 ((~(v111(constB11) <=> v26(constB11))) | (~v111(constB11)) | v26(constB11)),
% 6.21/4.40 inference(tautology,[status(thm)],[])).
% 6.21/4.40 tff(4169,plain,
% 6.21/4.40 ((~(v111(constB11) <=> v26(constB11))) | (~v111(constB11))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4168, 4167])).
% 6.21/4.40 tff(4170,plain,
% 6.21/4.40 (~v111(constB11)),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4169, 4165])).
% 6.21/4.40 tff(4171,plain,
% 6.21/4.40 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB11) | (~(((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB11) | (~(((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0)))))),
% 6.21/4.40 inference(rewrite,[status(thm)],[])).
% 6.21/4.40 tff(4172,plain,
% 6.21/4.40 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB11) | (~(((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0)))))),
% 6.21/4.40 inference(quant_inst,[status(thm)],[])).
% 6.21/4.40 tff(4173,plain,
% 6.21/4.40 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB11) | (~(((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0))))),
% 6.21/4.40 inference(modus_ponens,[status(thm)],[4172, 4171])).
% 6.21/4.40 tff(4174,plain,
% 6.21/4.40 (v111(constB11) | (~(((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0))))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4173, 397])).
% 6.21/4.40 tff(4175,plain,
% 6.21/4.40 (~(((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0)))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4174, 4170])).
% 6.21/4.40 tff(4176,plain,
% 6.21/4.40 ((((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0))) | (~((~v127(constB11, 2)) <=> v130(constB11, 2)))),
% 6.21/4.40 inference(tautology,[status(thm)],[])).
% 6.21/4.40 tff(4177,plain,
% 6.21/4.40 (~((~v127(constB11, 2)) <=> v130(constB11, 2))),
% 6.21/4.40 inference(unit_resolution,[status(thm)],[4176, 4175])).
% 6.21/4.40 tff(4178,plain,
% 6.21/4.40 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB11) <=> (~(v90(constB11, 2) | (~v90(constB11, 1)) | (~v90(constB11, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB11) <=> (~(v90(constB11, 2) | (~v90(constB11, 1)) | (~v90(constB11, 0))))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4179,plain,
% 6.21/4.41 ((v122(constB11) <=> (~(v90(constB11, 2) | (~v90(constB11, 0)) | (~v90(constB11, 1))))) <=> (v122(constB11) <=> (~(v90(constB11, 2) | (~v90(constB11, 1)) | (~v90(constB11, 0)))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4180,plain,
% 6.21/4.41 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB11) <=> (~(v90(constB11, 2) | (~v90(constB11, 0)) | (~v90(constB11, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB11) <=> (~(v90(constB11, 2) | (~v90(constB11, 1)) | (~v90(constB11, 0))))))),
% 6.21/4.41 inference(monotonicity,[status(thm)],[4179])).
% 6.21/4.41 tff(4181,plain,
% 6.21/4.41 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB11) <=> (~(v90(constB11, 2) | (~v90(constB11, 0)) | (~v90(constB11, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB11) <=> (~(v90(constB11, 2) | (~v90(constB11, 1)) | (~v90(constB11, 0))))))),
% 6.21/4.41 inference(transitivity,[status(thm)],[4180, 4178])).
% 6.21/4.41 tff(4182,plain,
% 6.21/4.41 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB11) <=> (~(v90(constB11, 2) | (~v90(constB11, 0)) | (~v90(constB11, 1)))))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4183,plain,
% 6.21/4.41 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB11) <=> (~(v90(constB11, 2) | (~v90(constB11, 1)) | (~v90(constB11, 0)))))),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4182, 4181])).
% 6.21/4.41 tff(4184,plain,
% 6.21/4.41 (v122(constB11) <=> (~(v90(constB11, 2) | (~v90(constB11, 1)) | (~v90(constB11, 0))))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4183, 644])).
% 6.21/4.41 tff(4185,plain,
% 6.21/4.41 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4186,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_10')).
% 6.21/4.41 tff(4187,plain,
% 6.21/4.41 (nextState(constB10, constB11)),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4186, 4185])).
% 6.21/4.41 tff(4188,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4189,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4190,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11)))))),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4189, 4188])).
% 6.21/4.41 tff(4191,plain,
% 6.21/4.41 (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4190, 4187, 273])).
% 6.21/4.41 tff(4192,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4193,plain,
% 6.21/4.41 (((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11)))))) <=> ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4194,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))))),
% 6.21/4.41 inference(monotonicity,[status(thm)],[4193])).
% 6.21/4.41 tff(4195,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 6.21/4.41 inference(transitivity,[status(thm)],[4194, 4192])).
% 6.21/4.41 tff(4196,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4197,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4196, 4195])).
% 6.21/4.41 tff(4198,plain,
% 6.21/4.41 (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4197, 4187, 293])).
% 6.21/4.41 tff(4199,plain,
% 6.21/4.41 ((~v1(constB11)) <=> (~v1(constB11))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4200,axiom,(~v1(constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_11')).
% 6.21/4.41 tff(4201,plain,
% 6.21/4.41 (~v1(constB11)),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4200, 4199])).
% 6.21/4.41 tff(4202,plain,
% 6.21/4.41 (((~v1(constB11)) | (~v102(constB11))) | v1(constB11)),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4203,plain,
% 6.21/4.41 ((~v1(constB11)) | (~v102(constB11))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4202, 4201])).
% 6.21/4.41 tff(4204,plain,
% 6.21/4.41 ((~(v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))) | (~v101(constB11)) | (~((~v1(constB11)) | (~v102(constB11))))),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4205,plain,
% 6.21/4.41 ((~(v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))) | (~v101(constB11))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4204, 4203])).
% 6.21/4.41 tff(4206,plain,
% 6.21/4.41 (~v101(constB11)),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4205, 4198])).
% 6.21/4.41 tff(4207,plain,
% 6.21/4.41 (((~v101(constB11)) | (~v110(constB11))) | v101(constB11)),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4208,plain,
% 6.21/4.41 ((~v101(constB11)) | (~v110(constB11))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4207, 4206])).
% 6.21/4.41 tff(4209,plain,
% 6.21/4.41 ((~(v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11)))))) | (~v100(constB11)) | (~((~v101(constB11)) | (~v110(constB11))))),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4210,plain,
% 6.21/4.41 (~v100(constB11)),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4209, 4208, 4191])).
% 6.21/4.41 tff(4211,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4212,plain,
% 6.21/4.41 ((v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 0)) <=> v90(constB10, 0))))) <=> (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4213,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0))))))),
% 6.21/4.41 inference(monotonicity,[status(thm)],[4212])).
% 6.21/4.41 tff(4214,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))))),
% 6.21/4.41 inference(transitivity,[status(thm)],[4213, 4211])).
% 6.21/4.41 tff(4215,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4216,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0))))),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4215, 4214])).
% 6.21/4.41 tff(4217,plain,
% 6.21/4.41 (v100(constB11) | (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0))))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4216, 4187, 325])).
% 6.21/4.41 tff(4218,plain,
% 6.21/4.41 (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4217, 4210])).
% 6.21/4.41 tff(4219,plain,
% 6.21/4.41 ((((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0))) | (~((~v90(constB11, 2)) <=> v90(constB10, 2)))),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4220,plain,
% 6.21/4.41 (~((~v90(constB11, 2)) <=> v90(constB10, 2))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4219, 4218])).
% 6.21/4.41 tff(4221,plain,
% 6.21/4.41 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4222,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_9')).
% 6.21/4.41 tff(4223,plain,
% 6.21/4.41 (nextState(constB9, constB10)),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4222, 4221])).
% 6.21/4.41 tff(4224,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB9, constB10)) | (~(((~v129(constB10, 2)) <=> v127(constB9, 2)) | ((~v129(constB10, 1)) <=> v127(constB9, 1)) | ((~v129(constB10, 0)) <=> v127(constB9, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB9, constB10)) | (~(((~v129(constB10, 2)) <=> v127(constB9, 2)) | ((~v129(constB10, 1)) <=> v127(constB9, 1)) | ((~v129(constB10, 0)) <=> v127(constB9, 0)))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4225,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB9, constB10)) | (~(((~v129(constB10, 2)) <=> v127(constB9, 2)) | ((~v129(constB10, 1)) <=> v127(constB9, 1)) | ((~v129(constB10, 0)) <=> v127(constB9, 0)))))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4226,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB9, constB10)) | (~(((~v129(constB10, 2)) <=> v127(constB9, 2)) | ((~v129(constB10, 1)) <=> v127(constB9, 1)) | ((~v129(constB10, 0)) <=> v127(constB9, 0))))),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4225, 4224])).
% 6.21/4.41 tff(4227,plain,
% 6.21/4.41 (~(((~v129(constB10, 2)) <=> v127(constB9, 2)) | ((~v129(constB10, 1)) <=> v127(constB9, 1)) | ((~v129(constB10, 0)) <=> v127(constB9, 0)))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4226, 4223, 348])).
% 6.21/4.41 tff(4228,plain,
% 6.21/4.41 ((((~v129(constB10, 2)) <=> v127(constB9, 2)) | ((~v129(constB10, 1)) <=> v127(constB9, 1)) | ((~v129(constB10, 0)) <=> v127(constB9, 0))) | (~((~v129(constB10, 2)) <=> v127(constB9, 2)))),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4229,plain,
% 6.21/4.41 (~((~v129(constB10, 2)) <=> v127(constB9, 2))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4228, 4227])).
% 6.21/4.41 tff(4230,plain,
% 6.21/4.41 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB9) <=> v26(constB9))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4231,plain,
% 6.21/4.41 (v111(constB9) <=> v26(constB9)),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4230, 367])).
% 6.21/4.41 tff(4232,plain,
% 6.21/4.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB9))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4233,plain,
% 6.21/4.41 (~v26(constB9)),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4232, 379])).
% 6.21/4.41 tff(4234,plain,
% 6.21/4.41 ((~(v111(constB9) <=> v26(constB9))) | (~v111(constB9)) | v26(constB9)),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4235,plain,
% 6.21/4.41 ((~(v111(constB9) <=> v26(constB9))) | (~v111(constB9))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4234, 4233])).
% 6.21/4.41 tff(4236,plain,
% 6.21/4.41 (~v111(constB9)),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4235, 4231])).
% 6.21/4.41 tff(4237,plain,
% 6.21/4.41 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB9) | (~(((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB9) | (~(((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0)))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4238,plain,
% 6.21/4.41 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB9) | (~(((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0)))))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4239,plain,
% 6.21/4.41 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB9) | (~(((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0))))),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 6.21/4.41 tff(4240,plain,
% 6.21/4.41 (v111(constB9) | (~(((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0))))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4239, 397])).
% 6.21/4.41 tff(4241,plain,
% 6.21/4.41 (~(((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0)))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4240, 4236])).
% 6.21/4.41 tff(4242,plain,
% 6.21/4.41 ((((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0))) | (~((~v127(constB9, 2)) <=> v130(constB9, 2)))),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4243,plain,
% 6.21/4.41 (~((~v127(constB9, 2)) <=> v130(constB9, 2))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4242, 4241])).
% 6.21/4.41 tff(4244,plain,
% 6.21/4.41 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB9) <=> (~(v90(constB9, 2) | v90(constB9, 0) | (~v90(constB9, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB9) <=> (~(v90(constB9, 2) | v90(constB9, 0) | (~v90(constB9, 1))))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4245,plain,
% 6.21/4.41 ((v121(constB9) <=> (~(v90(constB9, 0) | v90(constB9, 2) | (~v90(constB9, 1))))) <=> (v121(constB9) <=> (~(v90(constB9, 2) | v90(constB9, 0) | (~v90(constB9, 1)))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4246,plain,
% 6.21/4.41 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB9) <=> (~(v90(constB9, 0) | v90(constB9, 2) | (~v90(constB9, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB9) <=> (~(v90(constB9, 2) | v90(constB9, 0) | (~v90(constB9, 1))))))),
% 6.21/4.41 inference(monotonicity,[status(thm)],[4245])).
% 6.21/4.41 tff(4247,plain,
% 6.21/4.41 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB9) <=> (~(v90(constB9, 0) | v90(constB9, 2) | (~v90(constB9, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB9) <=> (~(v90(constB9, 2) | v90(constB9, 0) | (~v90(constB9, 1))))))),
% 6.21/4.41 inference(transitivity,[status(thm)],[4246, 4244])).
% 6.21/4.41 tff(4248,plain,
% 6.21/4.41 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB9) <=> (~(v90(constB9, 0) | v90(constB9, 2) | (~v90(constB9, 1)))))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4249,plain,
% 6.21/4.41 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB9) <=> (~(v90(constB9, 2) | v90(constB9, 0) | (~v90(constB9, 1)))))),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4248, 4247])).
% 6.21/4.41 tff(4250,plain,
% 6.21/4.41 (v121(constB9) <=> (~(v90(constB9, 2) | v90(constB9, 0) | (~v90(constB9, 1))))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4249, 723])).
% 6.21/4.41 tff(4251,plain,
% 6.21/4.41 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4252,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_8')).
% 6.21/4.41 tff(4253,plain,
% 6.21/4.41 (nextState(constB8, constB9)),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4252, 4251])).
% 6.21/4.41 tff(4254,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4255,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4256,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9)))))),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4255, 4254])).
% 6.21/4.41 tff(4257,plain,
% 6.21/4.41 (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4256, 4253, 273])).
% 6.21/4.41 tff(4258,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4259,plain,
% 6.21/4.41 (((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9)))))) <=> ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4260,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))))),
% 6.21/4.41 inference(monotonicity,[status(thm)],[4259])).
% 6.21/4.41 tff(4261,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 6.21/4.41 inference(transitivity,[status(thm)],[4260, 4258])).
% 6.21/4.41 tff(4262,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4263,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4262, 4261])).
% 6.21/4.41 tff(4264,plain,
% 6.21/4.41 (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4263, 4253, 293])).
% 6.21/4.41 tff(4265,plain,
% 6.21/4.41 ((~v1(constB9)) <=> (~v1(constB9))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4266,axiom,(~v1(constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_9')).
% 6.21/4.41 tff(4267,plain,
% 6.21/4.41 (~v1(constB9)),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4266, 4265])).
% 6.21/4.41 tff(4268,plain,
% 6.21/4.41 (((~v1(constB9)) | (~v102(constB9))) | v1(constB9)),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4269,plain,
% 6.21/4.41 ((~v1(constB9)) | (~v102(constB9))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4268, 4267])).
% 6.21/4.41 tff(4270,plain,
% 6.21/4.41 ((~(v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))) | (~v101(constB9)) | (~((~v1(constB9)) | (~v102(constB9))))),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4271,plain,
% 6.21/4.41 ((~(v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))) | (~v101(constB9))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4270, 4269])).
% 6.21/4.41 tff(4272,plain,
% 6.21/4.41 (~v101(constB9)),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4271, 4264])).
% 6.21/4.41 tff(4273,plain,
% 6.21/4.41 (((~v101(constB9)) | (~v110(constB9))) | v101(constB9)),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4274,plain,
% 6.21/4.41 ((~v101(constB9)) | (~v110(constB9))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4273, 4272])).
% 6.21/4.41 tff(4275,plain,
% 6.21/4.41 ((~(v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9)))))) | (~v100(constB9)) | (~((~v101(constB9)) | (~v110(constB9))))),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4276,plain,
% 6.21/4.41 (~v100(constB9)),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4275, 4274, 4257])).
% 6.21/4.41 tff(4277,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4278,plain,
% 6.21/4.41 ((v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 0)) <=> v90(constB8, 0))))) <=> (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4279,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0))))))),
% 6.21/4.41 inference(monotonicity,[status(thm)],[4278])).
% 6.21/4.41 tff(4280,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))))),
% 6.21/4.41 inference(transitivity,[status(thm)],[4279, 4277])).
% 6.21/4.41 tff(4281,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4282,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0))))),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4281, 4280])).
% 6.21/4.41 tff(4283,plain,
% 6.21/4.41 (v100(constB9) | (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0))))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4282, 4253, 325])).
% 6.21/4.41 tff(4284,plain,
% 6.21/4.41 (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4283, 4276])).
% 6.21/4.41 tff(4285,plain,
% 6.21/4.41 ((((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0))) | (~((~v90(constB9, 2)) <=> v90(constB8, 2)))),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4286,plain,
% 6.21/4.41 (~((~v90(constB9, 2)) <=> v90(constB8, 2))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4285, 4284])).
% 6.21/4.41 tff(4287,plain,
% 6.21/4.41 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4288,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_7')).
% 6.21/4.41 tff(4289,plain,
% 6.21/4.41 (nextState(constB7, constB8)),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4288, 4287])).
% 6.21/4.41 tff(4290,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB7, constB8)) | (~(((~v129(constB8, 2)) <=> v127(constB7, 2)) | ((~v129(constB8, 1)) <=> v127(constB7, 1)) | ((~v129(constB8, 0)) <=> v127(constB7, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB7, constB8)) | (~(((~v129(constB8, 2)) <=> v127(constB7, 2)) | ((~v129(constB8, 1)) <=> v127(constB7, 1)) | ((~v129(constB8, 0)) <=> v127(constB7, 0)))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4291,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB7, constB8)) | (~(((~v129(constB8, 2)) <=> v127(constB7, 2)) | ((~v129(constB8, 1)) <=> v127(constB7, 1)) | ((~v129(constB8, 0)) <=> v127(constB7, 0)))))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4292,plain,
% 6.21/4.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB7, constB8)) | (~(((~v129(constB8, 2)) <=> v127(constB7, 2)) | ((~v129(constB8, 1)) <=> v127(constB7, 1)) | ((~v129(constB8, 0)) <=> v127(constB7, 0))))),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4291, 4290])).
% 6.21/4.41 tff(4293,plain,
% 6.21/4.41 (~(((~v129(constB8, 2)) <=> v127(constB7, 2)) | ((~v129(constB8, 1)) <=> v127(constB7, 1)) | ((~v129(constB8, 0)) <=> v127(constB7, 0)))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4292, 4289, 348])).
% 6.21/4.41 tff(4294,plain,
% 6.21/4.41 ((((~v129(constB8, 2)) <=> v127(constB7, 2)) | ((~v129(constB8, 1)) <=> v127(constB7, 1)) | ((~v129(constB8, 0)) <=> v127(constB7, 0))) | (~((~v129(constB8, 2)) <=> v127(constB7, 2)))),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4295,plain,
% 6.21/4.41 (~((~v129(constB8, 2)) <=> v127(constB7, 2))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4294, 4293])).
% 6.21/4.41 tff(4296,plain,
% 6.21/4.41 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB7) <=> v26(constB7))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4297,plain,
% 6.21/4.41 (v111(constB7) <=> v26(constB7)),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4296, 367])).
% 6.21/4.41 tff(4298,plain,
% 6.21/4.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB7))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4299,plain,
% 6.21/4.41 (~v26(constB7)),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4298, 379])).
% 6.21/4.41 tff(4300,plain,
% 6.21/4.41 ((~(v111(constB7) <=> v26(constB7))) | (~v111(constB7)) | v26(constB7)),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4301,plain,
% 6.21/4.41 ((~(v111(constB7) <=> v26(constB7))) | (~v111(constB7))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4300, 4299])).
% 6.21/4.41 tff(4302,plain,
% 6.21/4.41 (~v111(constB7)),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4301, 4297])).
% 6.21/4.41 tff(4303,plain,
% 6.21/4.41 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB7) | (~(((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB7) | (~(((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0)))))),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4304,plain,
% 6.21/4.41 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB7) | (~(((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0)))))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4305,plain,
% 6.21/4.41 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB7) | (~(((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0))))),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4304, 4303])).
% 6.21/4.41 tff(4306,plain,
% 6.21/4.41 (v111(constB7) | (~(((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0))))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4305, 397])).
% 6.21/4.41 tff(4307,plain,
% 6.21/4.41 (~(((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0)))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4306, 4302])).
% 6.21/4.41 tff(4308,plain,
% 6.21/4.41 ((((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0))) | (~((~v127(constB7, 2)) <=> v130(constB7, 2)))),
% 6.21/4.41 inference(tautology,[status(thm)],[])).
% 6.21/4.41 tff(4309,plain,
% 6.21/4.41 (~((~v127(constB7, 2)) <=> v130(constB7, 2))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4308, 4307])).
% 6.21/4.41 tff(4310,plain,
% 6.21/4.41 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB7) <=> (~(v90(constB7, 1) | v90(constB7, 2) | (~v90(constB7, 0)))))),
% 6.21/4.41 inference(quant_inst,[status(thm)],[])).
% 6.21/4.41 tff(4311,plain,
% 6.21/4.41 (v120(constB7) <=> (~(v90(constB7, 1) | v90(constB7, 2) | (~v90(constB7, 0))))),
% 6.21/4.41 inference(unit_resolution,[status(thm)],[4310, 417])).
% 6.21/4.41 tff(4312,plain,
% 6.21/4.41 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 6.21/4.41 inference(rewrite,[status(thm)],[])).
% 6.21/4.41 tff(4313,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_6')).
% 6.21/4.41 tff(4314,plain,
% 6.21/4.41 (nextState(constB6, constB7)),
% 6.21/4.41 inference(modus_ponens,[status(thm)],[4313, 4312])).
% 6.21/4.41 tff(4315,plain,
% 6.21/4.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4316,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4317,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7)))))),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4316, 4315])).
% 6.21/4.42 tff(4318,plain,
% 6.21/4.42 (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4317, 4314, 273])).
% 6.21/4.42 tff(4319,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4320,plain,
% 6.21/4.42 (((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7)))))) <=> ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4321,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))))),
% 6.21/4.42 inference(monotonicity,[status(thm)],[4320])).
% 6.21/4.42 tff(4322,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 6.21/4.42 inference(transitivity,[status(thm)],[4321, 4319])).
% 6.21/4.42 tff(4323,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4324,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4323, 4322])).
% 6.21/4.42 tff(4325,plain,
% 6.21/4.42 (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4324, 4314, 293])).
% 6.21/4.42 tff(4326,plain,
% 6.21/4.42 ((~v1(constB7)) <=> (~v1(constB7))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4327,axiom,(~v1(constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_7')).
% 6.21/4.42 tff(4328,plain,
% 6.21/4.42 (~v1(constB7)),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4327, 4326])).
% 6.21/4.42 tff(4329,plain,
% 6.21/4.42 (((~v1(constB7)) | (~v102(constB7))) | v1(constB7)),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4330,plain,
% 6.21/4.42 ((~v1(constB7)) | (~v102(constB7))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4329, 4328])).
% 6.21/4.42 tff(4331,plain,
% 6.21/4.42 ((~(v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))) | (~v101(constB7)) | (~((~v1(constB7)) | (~v102(constB7))))),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4332,plain,
% 6.21/4.42 ((~(v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))) | (~v101(constB7))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4331, 4330])).
% 6.21/4.42 tff(4333,plain,
% 6.21/4.42 (~v101(constB7)),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4332, 4325])).
% 6.21/4.42 tff(4334,plain,
% 6.21/4.42 (((~v101(constB7)) | (~v110(constB7))) | v101(constB7)),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4335,plain,
% 6.21/4.42 ((~v101(constB7)) | (~v110(constB7))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4334, 4333])).
% 6.21/4.42 tff(4336,plain,
% 6.21/4.42 ((~(v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7)))))) | (~v100(constB7)) | (~((~v101(constB7)) | (~v110(constB7))))),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4337,plain,
% 6.21/4.42 (~v100(constB7)),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4336, 4335, 4318])).
% 6.21/4.42 tff(4338,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4339,plain,
% 6.21/4.42 ((v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 0)) <=> v90(constB6, 0))))) <=> (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4340,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0))))))),
% 6.21/4.42 inference(monotonicity,[status(thm)],[4339])).
% 6.21/4.42 tff(4341,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))))),
% 6.21/4.42 inference(transitivity,[status(thm)],[4340, 4338])).
% 6.21/4.42 tff(4342,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4343,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0))))),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4342, 4341])).
% 6.21/4.42 tff(4344,plain,
% 6.21/4.42 (v100(constB7) | (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0))))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4343, 4314, 325])).
% 6.21/4.42 tff(4345,plain,
% 6.21/4.42 (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4344, 4337])).
% 6.21/4.42 tff(4346,plain,
% 6.21/4.42 ((((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0))) | (~((~v90(constB7, 2)) <=> v90(constB6, 2)))),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4347,plain,
% 6.21/4.42 (~((~v90(constB7, 2)) <=> v90(constB6, 2))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4346, 4345])).
% 6.21/4.42 tff(4348,plain,
% 6.21/4.42 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4349,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_5')).
% 6.21/4.42 tff(4350,plain,
% 6.21/4.42 (nextState(constB5, constB6)),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 6.21/4.42 tff(4351,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB5, constB6)) | (~(((~v129(constB6, 2)) <=> v127(constB5, 2)) | ((~v129(constB6, 1)) <=> v127(constB5, 1)) | ((~v129(constB6, 0)) <=> v127(constB5, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB5, constB6)) | (~(((~v129(constB6, 2)) <=> v127(constB5, 2)) | ((~v129(constB6, 1)) <=> v127(constB5, 1)) | ((~v129(constB6, 0)) <=> v127(constB5, 0)))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4352,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB5, constB6)) | (~(((~v129(constB6, 2)) <=> v127(constB5, 2)) | ((~v129(constB6, 1)) <=> v127(constB5, 1)) | ((~v129(constB6, 0)) <=> v127(constB5, 0)))))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4353,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB5, constB6)) | (~(((~v129(constB6, 2)) <=> v127(constB5, 2)) | ((~v129(constB6, 1)) <=> v127(constB5, 1)) | ((~v129(constB6, 0)) <=> v127(constB5, 0))))),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4352, 4351])).
% 6.21/4.42 tff(4354,plain,
% 6.21/4.42 (~(((~v129(constB6, 2)) <=> v127(constB5, 2)) | ((~v129(constB6, 1)) <=> v127(constB5, 1)) | ((~v129(constB6, 0)) <=> v127(constB5, 0)))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4353, 4350, 348])).
% 6.21/4.42 tff(4355,plain,
% 6.21/4.42 ((((~v129(constB6, 2)) <=> v127(constB5, 2)) | ((~v129(constB6, 1)) <=> v127(constB5, 1)) | ((~v129(constB6, 0)) <=> v127(constB5, 0))) | (~((~v129(constB6, 2)) <=> v127(constB5, 2)))),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4356,plain,
% 6.21/4.42 (~((~v129(constB6, 2)) <=> v127(constB5, 2))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4355, 4354])).
% 6.21/4.42 tff(4357,plain,
% 6.21/4.42 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB5) <=> v26(constB5))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4358,plain,
% 6.21/4.42 (v111(constB5) <=> v26(constB5)),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4357, 367])).
% 6.21/4.42 tff(4359,plain,
% 6.21/4.42 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB5))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4360,plain,
% 6.21/4.42 (~v26(constB5)),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4359, 379])).
% 6.21/4.42 tff(4361,plain,
% 6.21/4.42 ((~(v111(constB5) <=> v26(constB5))) | (~v111(constB5)) | v26(constB5)),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4362,plain,
% 6.21/4.42 ((~(v111(constB5) <=> v26(constB5))) | (~v111(constB5))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4361, 4360])).
% 6.21/4.42 tff(4363,plain,
% 6.21/4.42 (~v111(constB5)),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4362, 4358])).
% 6.21/4.42 tff(4364,plain,
% 6.21/4.42 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB5) | (~(((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB5) | (~(((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0)))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4365,plain,
% 6.21/4.42 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB5) | (~(((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0)))))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4366,plain,
% 6.21/4.42 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB5) | (~(((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0))))),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4365, 4364])).
% 6.21/4.42 tff(4367,plain,
% 6.21/4.42 (v111(constB5) | (~(((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0))))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4366, 397])).
% 6.21/4.42 tff(4368,plain,
% 6.21/4.42 (~(((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0)))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4367, 4363])).
% 6.21/4.42 tff(4369,plain,
% 6.21/4.42 ((((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0))) | (~((~v127(constB5, 2)) <=> v130(constB5, 2)))),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4370,plain,
% 6.21/4.42 (~((~v127(constB5, 2)) <=> v130(constB5, 2))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4369, 4368])).
% 6.21/4.42 tff(4371,plain,
% 6.21/4.42 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 1) | v90(constB5, 2))))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4372,plain,
% 6.21/4.42 (v119(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 1) | v90(constB5, 2)))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4371, 491])).
% 6.21/4.42 tff(4373,plain,
% 6.21/4.42 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4374,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_4')).
% 6.21/4.42 tff(4375,plain,
% 6.21/4.42 (nextState(constB4, constB5)),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4374, 4373])).
% 6.21/4.42 tff(4376,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4377,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4378,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5)))))),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4377, 4376])).
% 6.21/4.42 tff(4379,plain,
% 6.21/4.42 (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4378, 4375, 273])).
% 6.21/4.42 tff(4380,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4381,plain,
% 6.21/4.42 (((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5)))))) <=> ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4382,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))))),
% 6.21/4.42 inference(monotonicity,[status(thm)],[4381])).
% 6.21/4.42 tff(4383,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 6.21/4.42 inference(transitivity,[status(thm)],[4382, 4380])).
% 6.21/4.42 tff(4384,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4385,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4384, 4383])).
% 6.21/4.42 tff(4386,plain,
% 6.21/4.42 (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4385, 4375, 293])).
% 6.21/4.42 tff(4387,plain,
% 6.21/4.42 ((~v1(constB5)) <=> (~v1(constB5))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4388,axiom,(~v1(constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_5')).
% 6.21/4.42 tff(4389,plain,
% 6.21/4.42 (~v1(constB5)),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4388, 4387])).
% 6.21/4.42 tff(4390,plain,
% 6.21/4.42 (((~v1(constB5)) | (~v102(constB5))) | v1(constB5)),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4391,plain,
% 6.21/4.42 ((~v1(constB5)) | (~v102(constB5))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4390, 4389])).
% 6.21/4.42 tff(4392,plain,
% 6.21/4.42 ((~(v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))) | (~v101(constB5)) | (~((~v1(constB5)) | (~v102(constB5))))),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4393,plain,
% 6.21/4.42 ((~(v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))) | (~v101(constB5))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4392, 4391])).
% 6.21/4.42 tff(4394,plain,
% 6.21/4.42 (~v101(constB5)),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4393, 4386])).
% 6.21/4.42 tff(4395,plain,
% 6.21/4.42 (((~v101(constB5)) | (~v110(constB5))) | v101(constB5)),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4396,plain,
% 6.21/4.42 ((~v101(constB5)) | (~v110(constB5))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4395, 4394])).
% 6.21/4.42 tff(4397,plain,
% 6.21/4.42 ((~(v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5)))))) | (~v100(constB5)) | (~((~v101(constB5)) | (~v110(constB5))))),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4398,plain,
% 6.21/4.42 (~v100(constB5)),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4397, 4396, 4379])).
% 6.21/4.42 tff(4399,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4400,plain,
% 6.21/4.42 ((v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 0)) <=> v90(constB4, 0))))) <=> (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4401,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0))))))),
% 6.21/4.42 inference(monotonicity,[status(thm)],[4400])).
% 6.21/4.42 tff(4402,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))))),
% 6.21/4.42 inference(transitivity,[status(thm)],[4401, 4399])).
% 6.21/4.42 tff(4403,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4404,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0))))),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4403, 4402])).
% 6.21/4.42 tff(4405,plain,
% 6.21/4.42 (v100(constB5) | (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0))))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4404, 4375, 325])).
% 6.21/4.42 tff(4406,plain,
% 6.21/4.42 (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4405, 4398])).
% 6.21/4.42 tff(4407,plain,
% 6.21/4.42 ((((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0))) | (~((~v90(constB5, 2)) <=> v90(constB4, 2)))),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4408,plain,
% 6.21/4.42 (~((~v90(constB5, 2)) <=> v90(constB4, 2))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4407, 4406])).
% 6.21/4.42 tff(4409,plain,
% 6.21/4.42 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4410,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_3')).
% 6.21/4.42 tff(4411,plain,
% 6.21/4.42 (nextState(constB3, constB4)),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4410, 4409])).
% 6.21/4.42 tff(4412,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB3, constB4)) | (~(((~v129(constB4, 2)) <=> v127(constB3, 2)) | ((~v129(constB4, 1)) <=> v127(constB3, 1)) | ((~v129(constB4, 0)) <=> v127(constB3, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB3, constB4)) | (~(((~v129(constB4, 2)) <=> v127(constB3, 2)) | ((~v129(constB4, 1)) <=> v127(constB3, 1)) | ((~v129(constB4, 0)) <=> v127(constB3, 0)))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4413,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB3, constB4)) | (~(((~v129(constB4, 2)) <=> v127(constB3, 2)) | ((~v129(constB4, 1)) <=> v127(constB3, 1)) | ((~v129(constB4, 0)) <=> v127(constB3, 0)))))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4414,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB3, constB4)) | (~(((~v129(constB4, 2)) <=> v127(constB3, 2)) | ((~v129(constB4, 1)) <=> v127(constB3, 1)) | ((~v129(constB4, 0)) <=> v127(constB3, 0))))),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 6.21/4.42 tff(4415,plain,
% 6.21/4.42 (~(((~v129(constB4, 2)) <=> v127(constB3, 2)) | ((~v129(constB4, 1)) <=> v127(constB3, 1)) | ((~v129(constB4, 0)) <=> v127(constB3, 0)))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4414, 4411, 348])).
% 6.21/4.42 tff(4416,plain,
% 6.21/4.42 ((((~v129(constB4, 2)) <=> v127(constB3, 2)) | ((~v129(constB4, 1)) <=> v127(constB3, 1)) | ((~v129(constB4, 0)) <=> v127(constB3, 0))) | (~((~v129(constB4, 2)) <=> v127(constB3, 2)))),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4417,plain,
% 6.21/4.42 (~((~v129(constB4, 2)) <=> v127(constB3, 2))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4416, 4415])).
% 6.21/4.42 tff(4418,plain,
% 6.21/4.42 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB3) <=> v26(constB3))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4419,plain,
% 6.21/4.42 (v111(constB3) <=> v26(constB3)),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4418, 367])).
% 6.21/4.42 tff(4420,plain,
% 6.21/4.42 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB3))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4421,plain,
% 6.21/4.42 (~v26(constB3)),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4420, 379])).
% 6.21/4.42 tff(4422,plain,
% 6.21/4.42 ((~(v111(constB3) <=> v26(constB3))) | (~v111(constB3)) | v26(constB3)),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4423,plain,
% 6.21/4.42 ((~(v111(constB3) <=> v26(constB3))) | (~v111(constB3))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4422, 4421])).
% 6.21/4.42 tff(4424,plain,
% 6.21/4.42 (~v111(constB3)),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4423, 4419])).
% 6.21/4.42 tff(4425,plain,
% 6.21/4.42 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB3) | (~(((~v127(constB3, 2)) <=> v130(constB3, 2)) | ((~v127(constB3, 1)) <=> v130(constB3, 1)) | ((~v127(constB3, 0)) <=> v130(constB3, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB3) | (~(((~v127(constB3, 2)) <=> v130(constB3, 2)) | ((~v127(constB3, 1)) <=> v130(constB3, 1)) | ((~v127(constB3, 0)) <=> v130(constB3, 0)))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4426,plain,
% 6.21/4.42 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB3) | (~(((~v127(constB3, 2)) <=> v130(constB3, 2)) | ((~v127(constB3, 1)) <=> v130(constB3, 1)) | ((~v127(constB3, 0)) <=> v130(constB3, 0)))))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4427,plain,
% 6.21/4.42 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB3) | (~(((~v127(constB3, 2)) <=> v130(constB3, 2)) | ((~v127(constB3, 1)) <=> v130(constB3, 1)) | ((~v127(constB3, 0)) <=> v130(constB3, 0))))),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4426, 4425])).
% 6.21/4.42 tff(4428,plain,
% 6.21/4.42 (v111(constB3) | (~(((~v127(constB3, 2)) <=> v130(constB3, 2)) | ((~v127(constB3, 1)) <=> v130(constB3, 1)) | ((~v127(constB3, 0)) <=> v130(constB3, 0))))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4427, 397])).
% 6.21/4.42 tff(4429,plain,
% 6.21/4.42 (~(((~v127(constB3, 2)) <=> v130(constB3, 2)) | ((~v127(constB3, 1)) <=> v130(constB3, 1)) | ((~v127(constB3, 0)) <=> v130(constB3, 0)))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4428, 4424])).
% 6.21/4.42 tff(4430,plain,
% 6.21/4.42 ((((~v127(constB3, 2)) <=> v130(constB3, 2)) | ((~v127(constB3, 1)) <=> v130(constB3, 1)) | ((~v127(constB3, 0)) <=> v130(constB3, 0))) | (~((~v127(constB3, 2)) <=> v130(constB3, 2)))),
% 6.21/4.42 inference(tautology,[status(thm)],[])).
% 6.21/4.42 tff(4431,plain,
% 6.21/4.42 (~((~v127(constB3, 2)) <=> v130(constB3, 2))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4430, 4429])).
% 6.21/4.42 tff(4432,plain,
% 6.21/4.42 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB3) <=> (~(v90(constB3, 1) | v90(constB3, 0) | (~v90(constB3, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB3) <=> (~(v90(constB3, 1) | v90(constB3, 0) | (~v90(constB3, 2))))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4433,plain,
% 6.21/4.42 ((v123(constB3) <=> (~(v90(constB3, 0) | v90(constB3, 1) | (~v90(constB3, 2))))) <=> (v123(constB3) <=> (~(v90(constB3, 1) | v90(constB3, 0) | (~v90(constB3, 2)))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4434,plain,
% 6.21/4.42 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB3) <=> (~(v90(constB3, 0) | v90(constB3, 1) | (~v90(constB3, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB3) <=> (~(v90(constB3, 1) | v90(constB3, 0) | (~v90(constB3, 2))))))),
% 6.21/4.42 inference(monotonicity,[status(thm)],[4433])).
% 6.21/4.42 tff(4435,plain,
% 6.21/4.42 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB3) <=> (~(v90(constB3, 0) | v90(constB3, 1) | (~v90(constB3, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB3) <=> (~(v90(constB3, 1) | v90(constB3, 0) | (~v90(constB3, 2))))))),
% 6.21/4.42 inference(transitivity,[status(thm)],[4434, 4432])).
% 6.21/4.42 tff(4436,plain,
% 6.21/4.42 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB3) <=> (~(v90(constB3, 0) | v90(constB3, 1) | (~v90(constB3, 2)))))),
% 6.21/4.42 inference(quant_inst,[status(thm)],[])).
% 6.21/4.42 tff(4437,plain,
% 6.21/4.42 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB3) <=> (~(v90(constB3, 1) | v90(constB3, 0) | (~v90(constB3, 2)))))),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4436, 4435])).
% 6.21/4.42 tff(4438,plain,
% 6.21/4.42 (v123(constB3) <=> (~(v90(constB3, 1) | v90(constB3, 0) | (~v90(constB3, 2))))),
% 6.21/4.42 inference(unit_resolution,[status(thm)],[4437, 565])).
% 6.21/4.42 tff(4439,plain,
% 6.21/4.42 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4440,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_2')).
% 6.21/4.42 tff(4441,plain,
% 6.21/4.42 (nextState(constB2, constB3)),
% 6.21/4.42 inference(modus_ponens,[status(thm)],[4440, 4439])).
% 6.21/4.42 tff(4442,plain,
% 6.21/4.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))))),
% 6.21/4.42 inference(rewrite,[status(thm)],[])).
% 6.21/4.42 tff(4443,plain,
% 6.21/4.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))))),
% 6.21/4.43 inference(quant_inst,[status(thm)],[])).
% 6.21/4.43 tff(4444,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3)))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4443, 4442])).
% 6.21/4.43 tff(4445,plain,
% 6.21/4.43 (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4444, 4441, 273])).
% 6.21/4.43 tff(4446,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4447,plain,
% 6.21/4.43 (((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3)))))) <=> ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4448,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))))),
% 6.21/4.43 inference(monotonicity,[status(thm)],[4447])).
% 6.21/4.43 tff(4449,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))),
% 6.21/4.43 inference(transitivity,[status(thm)],[4448, 4446])).
% 6.21/4.43 tff(4450,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3))))))),
% 6.21/4.43 inference(quant_inst,[status(thm)],[])).
% 6.21/4.43 tff(4451,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4450, 4449])).
% 6.21/4.43 tff(4452,plain,
% 6.21/4.43 (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4451, 4441, 293])).
% 6.21/4.43 tff(4453,plain,
% 6.21/4.43 ((~v1(constB3)) <=> (~v1(constB3))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4454,axiom,(~v1(constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_3')).
% 6.21/4.43 tff(4455,plain,
% 6.21/4.43 (~v1(constB3)),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4454, 4453])).
% 6.21/4.43 tff(4456,plain,
% 6.21/4.43 (((~v1(constB3)) | (~v102(constB3))) | v1(constB3)),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4457,plain,
% 6.21/4.43 ((~v1(constB3)) | (~v102(constB3))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4456, 4455])).
% 6.21/4.43 tff(4458,plain,
% 6.21/4.43 ((~(v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))) | (~v101(constB3)) | (~((~v1(constB3)) | (~v102(constB3))))),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4459,plain,
% 6.21/4.43 ((~(v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))) | (~v101(constB3))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4458, 4457])).
% 6.21/4.43 tff(4460,plain,
% 6.21/4.43 (~v101(constB3)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4459, 4452])).
% 6.21/4.43 tff(4461,plain,
% 6.21/4.43 (((~v101(constB3)) | (~v110(constB3))) | v101(constB3)),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4462,plain,
% 6.21/4.43 ((~v101(constB3)) | (~v110(constB3))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4461, 4460])).
% 6.21/4.43 tff(4463,plain,
% 6.21/4.43 ((~(v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3)))))) | (~v100(constB3)) | (~((~v101(constB3)) | (~v110(constB3))))),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4464,plain,
% 6.21/4.43 (~v100(constB3)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4463, 4462, 4445])).
% 6.21/4.43 tff(4465,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 0)) <=> v90(constB2, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 0)) <=> v90(constB2, 0)))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4466,plain,
% 6.21/4.43 ((v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 0)) <=> v90(constB2, 0))))) <=> (v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 0)) <=> v90(constB2, 0)))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4467,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 0)) <=> v90(constB2, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 0)) <=> v90(constB2, 0))))))),
% 6.21/4.43 inference(monotonicity,[status(thm)],[4466])).
% 6.21/4.43 tff(4468,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 0)) <=> v90(constB2, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 0)) <=> v90(constB2, 0)))))),
% 6.21/4.43 inference(transitivity,[status(thm)],[4467, 4465])).
% 6.21/4.43 tff(4469,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 0)) <=> v90(constB2, 0)))))),
% 6.21/4.43 inference(quant_inst,[status(thm)],[])).
% 6.21/4.43 tff(4470,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 0)) <=> v90(constB2, 0))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4469, 4468])).
% 6.21/4.43 tff(4471,plain,
% 6.21/4.43 (v100(constB3) | (~(((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 0)) <=> v90(constB2, 0))))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4470, 4441, 325])).
% 6.21/4.43 tff(4472,plain,
% 6.21/4.43 (~(((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 0)) <=> v90(constB2, 0)))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4471, 4464])).
% 6.21/4.43 tff(4473,plain,
% 6.21/4.43 ((((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 0)) <=> v90(constB2, 0))) | (~((~v90(constB3, 2)) <=> v90(constB2, 2)))),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4474,plain,
% 6.21/4.43 (~((~v90(constB3, 2)) <=> v90(constB2, 2))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4473, 4472])).
% 6.21/4.43 tff(4475,plain,
% 6.21/4.43 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4476,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_1')).
% 6.21/4.43 tff(4477,plain,
% 6.21/4.43 (nextState(constB1, constB2)),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4476, 4475])).
% 6.21/4.43 tff(4478,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB1, constB2)) | (~(((~v129(constB2, 2)) <=> v127(constB1, 2)) | ((~v129(constB2, 1)) <=> v127(constB1, 1)) | ((~v129(constB2, 0)) <=> v127(constB1, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB1, constB2)) | (~(((~v129(constB2, 2)) <=> v127(constB1, 2)) | ((~v129(constB2, 1)) <=> v127(constB1, 1)) | ((~v129(constB2, 0)) <=> v127(constB1, 0)))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4479,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB1, constB2)) | (~(((~v129(constB2, 2)) <=> v127(constB1, 2)) | ((~v129(constB2, 1)) <=> v127(constB1, 1)) | ((~v129(constB2, 0)) <=> v127(constB1, 0)))))),
% 6.21/4.43 inference(quant_inst,[status(thm)],[])).
% 6.21/4.43 tff(4480,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB1, constB2)) | (~(((~v129(constB2, 2)) <=> v127(constB1, 2)) | ((~v129(constB2, 1)) <=> v127(constB1, 1)) | ((~v129(constB2, 0)) <=> v127(constB1, 0))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4479, 4478])).
% 6.21/4.43 tff(4481,plain,
% 6.21/4.43 (~(((~v129(constB2, 2)) <=> v127(constB1, 2)) | ((~v129(constB2, 1)) <=> v127(constB1, 1)) | ((~v129(constB2, 0)) <=> v127(constB1, 0)))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4480, 4477, 348])).
% 6.21/4.43 tff(4482,plain,
% 6.21/4.43 ((((~v129(constB2, 2)) <=> v127(constB1, 2)) | ((~v129(constB2, 1)) <=> v127(constB1, 1)) | ((~v129(constB2, 0)) <=> v127(constB1, 0))) | (~((~v129(constB2, 2)) <=> v127(constB1, 2)))),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4483,plain,
% 6.21/4.43 (~((~v129(constB2, 2)) <=> v127(constB1, 2))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4482, 4481])).
% 6.21/4.43 tff(4484,plain,
% 6.21/4.43 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB1) <=> v26(constB1))),
% 6.21/4.43 inference(quant_inst,[status(thm)],[])).
% 6.21/4.43 tff(4485,plain,
% 6.21/4.43 (v111(constB1) <=> v26(constB1)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4484, 367])).
% 6.21/4.43 tff(4486,plain,
% 6.21/4.43 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB1))),
% 6.21/4.43 inference(quant_inst,[status(thm)],[])).
% 6.21/4.43 tff(4487,plain,
% 6.21/4.43 (~v26(constB1)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4486, 379])).
% 6.21/4.43 tff(4488,plain,
% 6.21/4.43 ((~(v111(constB1) <=> v26(constB1))) | (~v111(constB1)) | v26(constB1)),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4489,plain,
% 6.21/4.43 ((~(v111(constB1) <=> v26(constB1))) | (~v111(constB1))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4488, 4487])).
% 6.21/4.43 tff(4490,plain,
% 6.21/4.43 (~v111(constB1)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4489, 4485])).
% 6.21/4.43 tff(4491,plain,
% 6.21/4.43 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB1) | (~(((~v127(constB1, 2)) <=> v130(constB1, 2)) | ((~v127(constB1, 1)) <=> v130(constB1, 1)) | ((~v127(constB1, 0)) <=> v130(constB1, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB1) | (~(((~v127(constB1, 2)) <=> v130(constB1, 2)) | ((~v127(constB1, 1)) <=> v130(constB1, 1)) | ((~v127(constB1, 0)) <=> v130(constB1, 0)))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4492,plain,
% 6.21/4.43 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB1) | (~(((~v127(constB1, 2)) <=> v130(constB1, 2)) | ((~v127(constB1, 1)) <=> v130(constB1, 1)) | ((~v127(constB1, 0)) <=> v130(constB1, 0)))))),
% 6.21/4.43 inference(quant_inst,[status(thm)],[])).
% 6.21/4.43 tff(4493,plain,
% 6.21/4.43 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB1) | (~(((~v127(constB1, 2)) <=> v130(constB1, 2)) | ((~v127(constB1, 1)) <=> v130(constB1, 1)) | ((~v127(constB1, 0)) <=> v130(constB1, 0))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4492, 4491])).
% 6.21/4.43 tff(4494,plain,
% 6.21/4.43 (v111(constB1) | (~(((~v127(constB1, 2)) <=> v130(constB1, 2)) | ((~v127(constB1, 1)) <=> v130(constB1, 1)) | ((~v127(constB1, 0)) <=> v130(constB1, 0))))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4493, 397])).
% 6.21/4.43 tff(4495,plain,
% 6.21/4.43 (~(((~v127(constB1, 2)) <=> v130(constB1, 2)) | ((~v127(constB1, 1)) <=> v130(constB1, 1)) | ((~v127(constB1, 0)) <=> v130(constB1, 0)))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4494, 4490])).
% 6.21/4.43 tff(4496,plain,
% 6.21/4.43 ((((~v127(constB1, 2)) <=> v130(constB1, 2)) | ((~v127(constB1, 1)) <=> v130(constB1, 1)) | ((~v127(constB1, 0)) <=> v130(constB1, 0))) | (~((~v127(constB1, 2)) <=> v130(constB1, 2)))),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4497,plain,
% 6.21/4.43 (~((~v127(constB1, 2)) <=> v130(constB1, 2))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4496, 4495])).
% 6.21/4.43 tff(4498,plain,
% 6.21/4.43 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB1) <=> (~(v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2))))),
% 6.21/4.43 inference(quant_inst,[status(thm)],[])).
% 6.21/4.43 tff(4499,plain,
% 6.21/4.43 (v119(constB1) <=> (~(v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2)))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4498, 491])).
% 6.21/4.43 tff(4500,plain,
% 6.21/4.43 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4501,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom')).
% 6.21/4.43 tff(4502,plain,
% 6.21/4.43 (nextState(constB0, constB1)),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4501, 4500])).
% 6.21/4.43 tff(4503,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4504,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))))),
% 6.21/4.43 inference(quant_inst,[status(thm)],[])).
% 6.21/4.43 tff(4505,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1)))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4504, 4503])).
% 6.21/4.43 tff(4506,plain,
% 6.21/4.43 (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4505, 4502, 273])).
% 6.21/4.43 tff(4507,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4508,plain,
% 6.21/4.43 (((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1)))))) <=> ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4509,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))))),
% 6.21/4.43 inference(monotonicity,[status(thm)],[4508])).
% 6.21/4.43 tff(4510,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))),
% 6.21/4.43 inference(transitivity,[status(thm)],[4509, 4507])).
% 6.21/4.43 tff(4511,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1))))))),
% 6.21/4.43 inference(quant_inst,[status(thm)],[])).
% 6.21/4.43 tff(4512,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4511, 4510])).
% 6.21/4.43 tff(4513,plain,
% 6.21/4.43 (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4512, 4502, 293])).
% 6.21/4.43 tff(4514,plain,
% 6.21/4.43 ((~v1(constB1)) <=> (~v1(constB1))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4515,axiom,(~v1(constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_1')).
% 6.21/4.43 tff(4516,plain,
% 6.21/4.43 (~v1(constB1)),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4515, 4514])).
% 6.21/4.43 tff(4517,plain,
% 6.21/4.43 (((~v1(constB1)) | (~v102(constB1))) | v1(constB1)),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4518,plain,
% 6.21/4.43 ((~v1(constB1)) | (~v102(constB1))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4517, 4516])).
% 6.21/4.43 tff(4519,plain,
% 6.21/4.43 ((~(v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))) | (~v101(constB1)) | (~((~v1(constB1)) | (~v102(constB1))))),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4520,plain,
% 6.21/4.43 ((~(v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))) | (~v101(constB1))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4519, 4518])).
% 6.21/4.43 tff(4521,plain,
% 6.21/4.43 (~v101(constB1)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4520, 4513])).
% 6.21/4.43 tff(4522,plain,
% 6.21/4.43 (((~v101(constB1)) | (~v110(constB1))) | v101(constB1)),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4523,plain,
% 6.21/4.43 ((~v101(constB1)) | (~v110(constB1))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4522, 4521])).
% 6.21/4.43 tff(4524,plain,
% 6.21/4.43 ((~(v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1)))))) | (~v100(constB1)) | (~((~v101(constB1)) | (~v110(constB1))))),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4525,plain,
% 6.21/4.43 (~v100(constB1)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4524, 4523, 4506])).
% 6.21/4.43 tff(4526,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, 0)) <=> v90(constB0, 0)) | ((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, 0)) <=> v90(constB0, 0)) | ((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1)))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4527,plain,
% 6.21/4.43 ((v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1)) | ((~v90(constB1, 0)) <=> v90(constB0, 0))))) <=> (v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, 0)) <=> v90(constB0, 0)) | ((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1)))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4528,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1)) | ((~v90(constB1, 0)) <=> v90(constB0, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, 0)) <=> v90(constB0, 0)) | ((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1))))))),
% 6.21/4.43 inference(monotonicity,[status(thm)],[4527])).
% 6.21/4.43 tff(4529,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1)) | ((~v90(constB1, 0)) <=> v90(constB0, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, 0)) <=> v90(constB0, 0)) | ((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1)))))),
% 6.21/4.43 inference(transitivity,[status(thm)],[4528, 4526])).
% 6.21/4.43 tff(4530,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1)) | ((~v90(constB1, 0)) <=> v90(constB0, 0)))))),
% 6.21/4.43 inference(quant_inst,[status(thm)],[])).
% 6.21/4.43 tff(4531,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, 0)) <=> v90(constB0, 0)) | ((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4530, 4529])).
% 6.21/4.43 tff(4532,plain,
% 6.21/4.43 (v100(constB1) | (~(((~v90(constB1, 0)) <=> v90(constB0, 0)) | ((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1))))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4531, 4502, 325])).
% 6.21/4.43 tff(4533,plain,
% 6.21/4.43 (~(((~v90(constB1, 0)) <=> v90(constB0, 0)) | ((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1)))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4532, 4525])).
% 6.21/4.43 tff(4534,plain,
% 6.21/4.43 ((((~v90(constB1, 0)) <=> v90(constB0, 0)) | ((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1))) | (~((~v90(constB1, 0)) <=> v90(constB0, 0)))),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4535,plain,
% 6.21/4.43 (~((~v90(constB1, 0)) <=> v90(constB0, 0))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4534, 4533])).
% 6.21/4.43 tff(4536,plain,
% 6.21/4.43 ((~v90(constB0, 0)) <=> (~v90(constB0, 0))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4537,axiom,(~v90(constB0, 0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_2')).
% 6.21/4.43 tff(4538,plain,
% 6.21/4.43 (~v90(constB0, 0)),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4537, 4536])).
% 6.21/4.43 tff(4539,plain,
% 6.21/4.43 (((~v90(constB1, 0)) <=> v90(constB0, 0)) | (~v90(constB1, 0)) | v90(constB0, 0)),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4540,plain,
% 6.21/4.43 (((~v90(constB1, 0)) <=> v90(constB0, 0)) | (~v90(constB1, 0))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4539, 4538])).
% 6.21/4.43 tff(4541,plain,
% 6.21/4.43 (~v90(constB1, 0)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4540, 4535])).
% 6.21/4.43 tff(4542,plain,
% 6.21/4.43 ((((~v90(constB1, 0)) <=> v90(constB0, 0)) | ((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1))) | (~((~v90(constB1, 2)) <=> v90(constB0, 2)))),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4543,plain,
% 6.21/4.43 (~((~v90(constB1, 2)) <=> v90(constB0, 2))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4542, 4533])).
% 6.21/4.43 tff(4544,plain,
% 6.21/4.43 ((~v90(constB0, 2)) <=> (~v90(constB0, 2))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4545,axiom,(~v90(constB0, 2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_4')).
% 6.21/4.43 tff(4546,plain,
% 6.21/4.43 (~v90(constB0, 2)),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4545, 4544])).
% 6.21/4.43 tff(4547,plain,
% 6.21/4.43 (((~v90(constB1, 2)) <=> v90(constB0, 2)) | (~v90(constB1, 2)) | v90(constB0, 2)),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4548,plain,
% 6.21/4.43 (((~v90(constB1, 2)) <=> v90(constB0, 2)) | (~v90(constB1, 2))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4547, 4546])).
% 6.21/4.43 tff(4549,plain,
% 6.21/4.43 (~v90(constB1, 2)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4548, 4543])).
% 6.21/4.43 tff(4550,plain,
% 6.21/4.43 ((((~v90(constB1, 0)) <=> v90(constB0, 0)) | ((~v90(constB1, 2)) <=> v90(constB0, 2)) | ((~v90(constB1, 1)) <=> v90(constB0, 1))) | (~((~v90(constB1, 1)) <=> v90(constB0, 1)))),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4551,plain,
% 6.21/4.43 (~((~v90(constB1, 1)) <=> v90(constB0, 1))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4550, 4533])).
% 6.21/4.43 tff(4552,plain,
% 6.21/4.43 ((~v90(constB0, 1)) <=> (~v90(constB0, 1))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4553,axiom,(~v90(constB0, 1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_3')).
% 6.21/4.43 tff(4554,plain,
% 6.21/4.43 (~v90(constB0, 1)),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4553, 4552])).
% 6.21/4.43 tff(4555,plain,
% 6.21/4.43 (((~v90(constB1, 1)) <=> v90(constB0, 1)) | (~v90(constB1, 1)) | v90(constB0, 1)),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4556,plain,
% 6.21/4.43 (((~v90(constB1, 1)) <=> v90(constB0, 1)) | (~v90(constB1, 1))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4555, 4554])).
% 6.21/4.43 tff(4557,plain,
% 6.21/4.43 (~v90(constB1, 1)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4556, 4551])).
% 6.21/4.43 tff(4558,plain,
% 6.21/4.43 ((~(v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2))) | v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2)),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4559,plain,
% 6.21/4.43 (~(v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4558, 4557, 4549, 4541])).
% 6.21/4.43 tff(4560,plain,
% 6.21/4.43 ((~(v119(constB1) <=> (~(v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2))))) | v119(constB1) | (v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2))),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4561,plain,
% 6.21/4.43 ((~(v119(constB1) <=> (~(v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2))))) | v119(constB1)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4560, 4559])).
% 6.21/4.43 tff(4562,plain,
% 6.21/4.43 (v119(constB1)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4561, 4499])).
% 6.21/4.43 tff(4563,plain,
% 6.21/4.43 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2))))) <=> ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2))))))),
% 6.21/4.43 inference(bind,[status(th)],[])).
% 6.21/4.43 tff(4564,plain,
% 6.21/4.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2))))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))),
% 6.21/4.43 inference(quant_intro,[status(thm)],[4563])).
% 6.21/4.43 tff(4565,plain,
% 6.21/4.43 (^[VarCurr: state_type] : rewrite(((~v119(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0)))) <=> ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2))))))),
% 6.21/4.43 inference(bind,[status(th)],[])).
% 6.21/4.43 tff(4566,plain,
% 6.21/4.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))),
% 6.21/4.43 inference(quant_intro,[status(thm)],[4565])).
% 6.21/4.43 tff(4567,plain,
% 6.21/4.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4568,plain,
% 6.21/4.43 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $false)) <=> (v130(VarCurr, 2) & (~v130(VarCurr, 1)))), rewrite((v130(VarCurr, 0) <=> $false) <=> (~v130(VarCurr, 0))), ((((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $false)) <=> ((v130(VarCurr, 2) & (~v130(VarCurr, 1))) & (~v130(VarCurr, 0))))), rewrite(((v130(VarCurr, 2) & (~v130(VarCurr, 1))) & (~v130(VarCurr, 0))) <=> (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0)))), ((((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $false)) <=> (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))), ((v119(VarCurr) => (((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $false))) <=> (v119(VarCurr) => (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0)))))), rewrite((v119(VarCurr) => (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0)))) <=> ((~v119(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))), ((v119(VarCurr) => (((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $false))) <=> ((~v119(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))))),
% 6.21/4.43 inference(bind,[status(th)],[])).
% 6.21/4.43 tff(4569,plain,
% 6.21/4.43 (![VarCurr: state_type] : (v119(VarCurr) => (((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))),
% 6.21/4.43 inference(quant_intro,[status(thm)],[4568])).
% 6.21/4.43 tff(4570,axiom,(![VarCurr: state_type] : (v119(VarCurr) => (((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0')).
% 6.21/4.43 tff(4571,plain,
% 6.21/4.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4570, 4569])).
% 6.21/4.43 tff(4572,plain,
% 6.21/4.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4571, 4567])).
% 6.21/4.43 tff(4573,plain,(
% 6.21/4.43 ![VarCurr: state_type] : ((~v119(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))),
% 6.21/4.43 inference(skolemize,[status(sab)],[4572])).
% 6.21/4.43 tff(4574,plain,
% 6.21/4.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4573, 4566])).
% 6.21/4.43 tff(4575,plain,
% 6.21/4.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4574, 4564])).
% 6.21/4.43 tff(4576,plain,
% 6.21/4.43 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v119(constB1)) | (~(v130(constB1, 1) | v130(constB1, 0) | (~v130(constB1, 2)))))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v119(constB1)) | (~(v130(constB1, 1) | v130(constB1, 0) | (~v130(constB1, 2)))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4577,plain,
% 6.21/4.43 (((~v119(constB1)) | (~(v130(constB1, 0) | v130(constB1, 1) | (~v130(constB1, 2))))) <=> ((~v119(constB1)) | (~(v130(constB1, 1) | v130(constB1, 0) | (~v130(constB1, 2)))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4578,plain,
% 6.21/4.43 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v119(constB1)) | (~(v130(constB1, 0) | v130(constB1, 1) | (~v130(constB1, 2)))))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v119(constB1)) | (~(v130(constB1, 1) | v130(constB1, 0) | (~v130(constB1, 2))))))),
% 6.21/4.43 inference(monotonicity,[status(thm)],[4577])).
% 6.21/4.43 tff(4579,plain,
% 6.21/4.43 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v119(constB1)) | (~(v130(constB1, 0) | v130(constB1, 1) | (~v130(constB1, 2)))))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v119(constB1)) | (~(v130(constB1, 1) | v130(constB1, 0) | (~v130(constB1, 2)))))),
% 6.21/4.43 inference(transitivity,[status(thm)],[4578, 4576])).
% 6.21/4.43 tff(4580,plain,
% 6.21/4.43 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v119(constB1)) | (~(v130(constB1, 0) | v130(constB1, 1) | (~v130(constB1, 2)))))),
% 6.21/4.43 inference(quant_inst,[status(thm)],[])).
% 6.21/4.43 tff(4581,plain,
% 6.21/4.43 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v119(constB1)) | (~(v130(constB1, 1) | v130(constB1, 0) | (~v130(constB1, 2))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4580, 4579])).
% 6.21/4.43 tff(4582,plain,
% 6.21/4.43 (~(v130(constB1, 1) | v130(constB1, 0) | (~v130(constB1, 2)))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4581, 4575, 4562])).
% 6.21/4.43 tff(4583,plain,
% 6.21/4.43 ((v130(constB1, 1) | v130(constB1, 0) | (~v130(constB1, 2))) | v130(constB1, 2)),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4584,plain,
% 6.21/4.43 (v130(constB1, 2)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4583, 4582])).
% 6.21/4.43 tff(4585,plain,
% 6.21/4.43 (((~v127(constB1, 2)) <=> v130(constB1, 2)) | v127(constB1, 2) | (~v130(constB1, 2))),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4586,plain,
% 6.21/4.43 (v127(constB1, 2)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4585, 4584, 4497])).
% 6.21/4.43 tff(4587,plain,
% 6.21/4.43 (((~v129(constB2, 2)) <=> v127(constB1, 2)) | v129(constB2, 2) | (~v127(constB1, 2))),
% 6.21/4.43 inference(tautology,[status(thm)],[])).
% 6.21/4.43 tff(4588,plain,
% 6.21/4.43 (v129(constB2, 2)),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4587, 4586, 4483])).
% 6.21/4.43 tff(4589,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4590,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))))),
% 6.21/4.43 inference(quant_inst,[status(thm)],[])).
% 6.21/4.43 tff(4591,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2)))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4590, 4589])).
% 6.21/4.43 tff(4592,plain,
% 6.21/4.43 (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4591, 4477, 273])).
% 6.21/4.43 tff(4593,plain,
% 6.21/4.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4594,plain,
% 6.21/4.43 (((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2)))))) <=> ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4595,plain,
% 6.21/4.43 (((~![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) <=> (~((~v1(constB2)) | (~v102(constB2)))))))),
% 6.21/4.43 inference(monotonicity,[status(thm)],[4594])).
% 6.21/4.43 tff(4596,plain,
% 6.21/4.43 (((~![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) <=> (~((~v1(constB2)) | (~v102(constB2))))))),
% 6.21/4.43 inference(transitivity,[status(thm)],[4595, 4593])).
% 6.21/4.43 tff(4597,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2))))))),
% 6.21/4.43 inference(quant_inst,[status(thm)],[])).
% 6.21/4.43 tff(4598,plain,
% 6.21/4.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2)))))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4597, 4596])).
% 6.21/4.43 tff(4599,plain,
% 6.21/4.43 (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))),
% 6.21/4.43 inference(unit_resolution,[status(thm)],[4598, 4477, 293])).
% 6.21/4.43 tff(4600,plain,
% 6.21/4.43 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))))),
% 6.21/4.43 inference(bind,[status(th)],[])).
% 6.21/4.43 tff(4601,plain,
% 6.21/4.43 (![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)))),
% 6.21/4.43 inference(quant_intro,[status(thm)],[4600])).
% 6.21/4.43 tff(4602,plain,
% 6.21/4.43 (![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)))),
% 6.21/4.43 inference(rewrite,[status(thm)],[])).
% 6.21/4.43 tff(4603,plain,
% 6.21/4.43 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))))),
% 6.21/4.43 inference(bind,[status(th)],[])).
% 6.21/4.43 tff(4604,plain,
% 6.21/4.43 (![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)))),
% 6.21/4.43 inference(quant_intro,[status(thm)],[4603])).
% 6.21/4.43 tff(4605,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_12')).
% 6.21/4.43 tff(4606,plain,
% 6.21/4.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4605, 4604])).
% 6.21/4.43 tff(4607,plain,
% 6.21/4.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4606, 4602])).
% 6.21/4.43 tff(4608,plain,(
% 6.21/4.43 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.21/4.43 inference(skolemize,[status(sab)],[4607])).
% 6.21/4.43 tff(4609,plain,
% 6.21/4.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.21/4.43 inference(modus_ponens,[status(thm)],[4608, 4601])).
% 6.21/4.43 tff(4610,plain,
% 6.21/4.43 (((~![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)))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4611,plain,
% 6.21/4.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2)))),
% 6.21/4.44 inference(quant_inst,[status(thm)],[])).
% 6.21/4.44 tff(4612,plain,
% 6.21/4.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4611, 4610])).
% 6.21/4.44 tff(4613,plain,
% 6.21/4.44 ((~v102(constB2)) <=> v104(constB2)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4612, 4477, 4609])).
% 6.21/4.44 tff(4614,plain,
% 6.21/4.44 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4615,plain,
% 6.21/4.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4614])).
% 6.21/4.44 tff(4616,plain,
% 6.21/4.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4617,plain,
% 6.21/4.44 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4618,plain,
% 6.21/4.44 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4617])).
% 6.21/4.44 tff(4619,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_5')).
% 6.21/4.44 tff(4620,plain,
% 6.21/4.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4619, 4618])).
% 6.21/4.44 tff(4621,plain,
% 6.21/4.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4620, 4616])).
% 6.21/4.44 tff(4622,plain,(
% 6.21/4.44 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.21/4.44 inference(skolemize,[status(sab)],[4621])).
% 6.21/4.44 tff(4623,plain,
% 6.21/4.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4622, 4615])).
% 6.21/4.44 tff(4624,plain,
% 6.21/4.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1)))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4625,plain,
% 6.21/4.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1)))),
% 6.21/4.44 inference(quant_inst,[status(thm)],[])).
% 6.21/4.44 tff(4626,plain,
% 6.21/4.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4625, 4624])).
% 6.21/4.44 tff(4627,plain,
% 6.21/4.44 (v104(constB2) <=> v1(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4626, 4477, 4623])).
% 6.21/4.44 tff(4628,plain,
% 6.21/4.44 ((~(v104(constB2) <=> v1(constB1))) | (~v104(constB2)) | v1(constB1)),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4629,plain,
% 6.21/4.44 ((~(v104(constB2) <=> v1(constB1))) | (~v104(constB2))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4628, 4516])).
% 6.21/4.44 tff(4630,plain,
% 6.21/4.44 (~v104(constB2)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4629, 4627])).
% 6.21/4.44 tff(4631,plain,
% 6.21/4.44 ((~((~v102(constB2)) <=> v104(constB2))) | v102(constB2) | v104(constB2)),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4632,plain,
% 6.21/4.44 (v102(constB2)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4631, 4630, 4613])).
% 6.21/4.44 tff(4633,plain,
% 6.21/4.44 (v1(constB2) <=> v1(constB2)),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4634,axiom,(v1(constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_2')).
% 6.21/4.44 tff(4635,plain,
% 6.21/4.44 (v1(constB2)),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4634, 4633])).
% 6.21/4.44 tff(4636,plain,
% 6.21/4.44 ((~((~v1(constB2)) | (~v102(constB2)))) | (~v1(constB2)) | (~v102(constB2))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4637,plain,
% 6.21/4.44 ((~((~v1(constB2)) | (~v102(constB2)))) | (~v102(constB2))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4636, 4635])).
% 6.21/4.44 tff(4638,plain,
% 6.21/4.44 (~((~v1(constB2)) | (~v102(constB2)))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4637, 4632])).
% 6.21/4.44 tff(4639,plain,
% 6.21/4.44 ((~(v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2)))))) | v101(constB2) | ((~v1(constB2)) | (~v102(constB2)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4640,plain,
% 6.21/4.44 (v101(constB2)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4639, 4638, 4599])).
% 6.21/4.44 tff(4641,plain,
% 6.21/4.44 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4642,plain,
% 6.21/4.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4641])).
% 6.21/4.44 tff(4643,plain,
% 6.21/4.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4644,plain,
% 6.21/4.44 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4645,plain,
% 6.21/4.44 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4644])).
% 6.21/4.44 tff(4646,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6')).
% 6.21/4.44 tff(4647,plain,
% 6.21/4.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4646, 4645])).
% 6.21/4.44 tff(4648,plain,
% 6.21/4.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4647, 4643])).
% 6.21/4.44 tff(4649,plain,(
% 6.21/4.44 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.21/4.44 inference(skolemize,[status(sab)],[4648])).
% 6.21/4.44 tff(4650,plain,
% 6.21/4.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4649, 4642])).
% 6.21/4.44 tff(4651,plain,
% 6.21/4.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1)))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4652,plain,
% 6.21/4.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1)))),
% 6.21/4.44 inference(quant_inst,[status(thm)],[])).
% 6.21/4.44 tff(4653,plain,
% 6.21/4.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4652, 4651])).
% 6.21/4.44 tff(4654,plain,
% 6.21/4.44 (v110(constB2) <=> v108(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4653, 4477, 4650])).
% 6.21/4.44 tff(4655,plain,
% 6.21/4.44 (^[VarCurr: state_type] : refl((v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4656,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> ![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4655])).
% 6.21/4.44 tff(4657,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> ![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4658,axiom,(![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26')).
% 6.21/4.44 tff(4659,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4658, 4657])).
% 6.21/4.44 tff(4660,plain,(
% 6.21/4.44 ![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.21/4.44 inference(skolemize,[status(sab)],[4659])).
% 6.21/4.44 tff(4661,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4660, 4656])).
% 6.21/4.44 tff(4662,plain,
% 6.21/4.44 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB1) <=> (v111(constB1) | v112(constB1)))),
% 6.21/4.44 inference(quant_inst,[status(thm)],[])).
% 6.21/4.44 tff(4663,plain,
% 6.21/4.44 (v108(constB1) <=> (v111(constB1) | v112(constB1))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4662, 4661])).
% 6.21/4.44 tff(4664,plain,
% 6.21/4.44 (^[VarCurr: state_type] : refl((v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))) <=> (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4665,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))) <=> ![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4664])).
% 6.21/4.44 tff(4666,plain,
% 6.21/4.44 (^[VarCurr: state_type] : rewrite((v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4667,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> ![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4666])).
% 6.21/4.44 tff(4668,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> ![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4669,axiom,(![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25')).
% 6.21/4.44 tff(4670,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4669, 4668])).
% 6.21/4.44 tff(4671,plain,(
% 6.21/4.44 ![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 6.21/4.44 inference(skolemize,[status(sab)],[4670])).
% 6.21/4.44 tff(4672,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4671, 4667])).
% 6.21/4.44 tff(4673,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4672, 4665])).
% 6.21/4.44 tff(4674,plain,
% 6.21/4.44 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))),
% 6.21/4.44 inference(quant_inst,[status(thm)],[])).
% 6.21/4.44 tff(4675,plain,
% 6.21/4.44 (v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1))))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4674, 4673])).
% 6.21/4.44 tff(4676,plain,
% 6.21/4.44 (^[VarCurr: state_type] : refl((v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4677,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4676])).
% 6.21/4.44 tff(4678,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4679,axiom,(![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24')).
% 6.21/4.44 tff(4680,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4679, 4678])).
% 6.21/4.44 tff(4681,plain,(
% 6.21/4.44 ![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.21/4.44 inference(skolemize,[status(sab)],[4680])).
% 6.21/4.44 tff(4682,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4681, 4677])).
% 6.21/4.44 tff(4683,plain,
% 6.21/4.44 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB1) <=> (v114(constB1) | v125(constB1)))),
% 6.21/4.44 inference(quant_inst,[status(thm)],[])).
% 6.21/4.44 tff(4684,plain,
% 6.21/4.44 (v113(constB1) <=> (v114(constB1) | v125(constB1))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4683, 4682])).
% 6.21/4.44 tff(4685,plain,
% 6.21/4.44 (^[VarCurr: state_type] : refl((v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4686,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> ![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4685])).
% 6.21/4.44 tff(4687,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> ![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4688,axiom,(![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23')).
% 6.21/4.44 tff(4689,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 6.21/4.44 tff(4690,plain,(
% 6.21/4.44 ![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.21/4.44 inference(skolemize,[status(sab)],[4689])).
% 6.21/4.44 tff(4691,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4690, 4686])).
% 6.21/4.44 tff(4692,plain,
% 6.21/4.44 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB1) <=> (v115(constB1) | v124(constB1)))),
% 6.21/4.44 inference(quant_inst,[status(thm)],[])).
% 6.21/4.44 tff(4693,plain,
% 6.21/4.44 (v114(constB1) <=> (v115(constB1) | v124(constB1))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4692, 4691])).
% 6.21/4.44 tff(4694,plain,
% 6.21/4.44 (^[VarCurr: state_type] : refl((v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4695,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> ![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4694])).
% 6.21/4.44 tff(4696,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> ![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4697,axiom,(![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22')).
% 6.21/4.44 tff(4698,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4697, 4696])).
% 6.21/4.44 tff(4699,plain,(
% 6.21/4.44 ![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.21/4.44 inference(skolemize,[status(sab)],[4698])).
% 6.21/4.44 tff(4700,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4699, 4695])).
% 6.21/4.44 tff(4701,plain,
% 6.21/4.44 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB1) <=> (v116(constB1) | v123(constB1)))),
% 6.21/4.44 inference(quant_inst,[status(thm)],[])).
% 6.21/4.44 tff(4702,plain,
% 6.21/4.44 (v115(constB1) <=> (v116(constB1) | v123(constB1))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4701, 4700])).
% 6.21/4.44 tff(4703,plain,
% 6.21/4.44 (^[VarCurr: state_type] : refl((v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4704,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> ![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4703])).
% 6.21/4.44 tff(4705,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> ![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4706,axiom,(![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21')).
% 6.21/4.44 tff(4707,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4706, 4705])).
% 6.21/4.44 tff(4708,plain,(
% 6.21/4.44 ![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.21/4.44 inference(skolemize,[status(sab)],[4707])).
% 6.21/4.44 tff(4709,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4708, 4704])).
% 6.21/4.44 tff(4710,plain,
% 6.21/4.44 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB1) <=> (v117(constB1) | v122(constB1)))),
% 6.21/4.44 inference(quant_inst,[status(thm)],[])).
% 6.21/4.44 tff(4711,plain,
% 6.21/4.44 (v116(constB1) <=> (v117(constB1) | v122(constB1))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4710, 4709])).
% 6.21/4.44 tff(4712,plain,
% 6.21/4.44 (^[VarCurr: state_type] : refl((v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4713,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> ![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4712])).
% 6.21/4.44 tff(4714,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> ![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4715,axiom,(![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20')).
% 6.21/4.44 tff(4716,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4715, 4714])).
% 6.21/4.44 tff(4717,plain,(
% 6.21/4.44 ![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.21/4.44 inference(skolemize,[status(sab)],[4716])).
% 6.21/4.44 tff(4718,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4717, 4713])).
% 6.21/4.44 tff(4719,plain,
% 6.21/4.44 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB1) <=> (v118(constB1) | v121(constB1)))),
% 6.21/4.44 inference(quant_inst,[status(thm)],[])).
% 6.21/4.44 tff(4720,plain,
% 6.21/4.44 (v117(constB1) <=> (v118(constB1) | v121(constB1))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4719, 4718])).
% 6.21/4.44 tff(4721,plain,
% 6.21/4.44 (^[VarCurr: state_type] : refl((v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4722,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> ![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4721])).
% 6.21/4.44 tff(4723,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> ![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4724,axiom,(![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19')).
% 6.21/4.44 tff(4725,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4724, 4723])).
% 6.21/4.44 tff(4726,plain,(
% 6.21/4.44 ![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.21/4.44 inference(skolemize,[status(sab)],[4725])).
% 6.21/4.44 tff(4727,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4726, 4722])).
% 6.21/4.44 tff(4728,plain,
% 6.21/4.44 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB1) <=> (v119(constB1) | v120(constB1)))),
% 6.21/4.44 inference(quant_inst,[status(thm)],[])).
% 6.21/4.44 tff(4729,plain,
% 6.21/4.44 (v118(constB1) <=> (v119(constB1) | v120(constB1))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4728, 4727])).
% 6.21/4.44 tff(4730,plain,
% 6.21/4.44 ((v119(constB1) | v120(constB1)) | (~v119(constB1))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4731,plain,
% 6.21/4.44 (v119(constB1) | v120(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4730, 4562])).
% 6.21/4.44 tff(4732,plain,
% 6.21/4.44 ((~(v118(constB1) <=> (v119(constB1) | v120(constB1)))) | v118(constB1) | (~(v119(constB1) | v120(constB1)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4733,plain,
% 6.21/4.44 ((~(v118(constB1) <=> (v119(constB1) | v120(constB1)))) | v118(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4732, 4731])).
% 6.21/4.44 tff(4734,plain,
% 6.21/4.44 (v118(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4733, 4729])).
% 6.21/4.44 tff(4735,plain,
% 6.21/4.44 ((v118(constB1) | v121(constB1)) | (~v118(constB1))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4736,plain,
% 6.21/4.44 (v118(constB1) | v121(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4735, 4734])).
% 6.21/4.44 tff(4737,plain,
% 6.21/4.44 ((~(v117(constB1) <=> (v118(constB1) | v121(constB1)))) | v117(constB1) | (~(v118(constB1) | v121(constB1)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4738,plain,
% 6.21/4.44 (v117(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4737, 4736, 4720])).
% 6.21/4.44 tff(4739,plain,
% 6.21/4.44 ((v117(constB1) | v122(constB1)) | (~v117(constB1))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4740,plain,
% 6.21/4.44 (v117(constB1) | v122(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4739, 4738])).
% 6.21/4.44 tff(4741,plain,
% 6.21/4.44 ((~(v116(constB1) <=> (v117(constB1) | v122(constB1)))) | v116(constB1) | (~(v117(constB1) | v122(constB1)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4742,plain,
% 6.21/4.44 (v116(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4741, 4740, 4711])).
% 6.21/4.44 tff(4743,plain,
% 6.21/4.44 ((v116(constB1) | v123(constB1)) | (~v116(constB1))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4744,plain,
% 6.21/4.44 (v116(constB1) | v123(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4743, 4742])).
% 6.21/4.44 tff(4745,plain,
% 6.21/4.44 ((~(v115(constB1) <=> (v116(constB1) | v123(constB1)))) | v115(constB1) | (~(v116(constB1) | v123(constB1)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4746,plain,
% 6.21/4.44 (v115(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4745, 4744, 4702])).
% 6.21/4.44 tff(4747,plain,
% 6.21/4.44 ((v115(constB1) | v124(constB1)) | (~v115(constB1))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4748,plain,
% 6.21/4.44 (v115(constB1) | v124(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4747, 4746])).
% 6.21/4.44 tff(4749,plain,
% 6.21/4.44 ((~(v114(constB1) <=> (v115(constB1) | v124(constB1)))) | v114(constB1) | (~(v115(constB1) | v124(constB1)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4750,plain,
% 6.21/4.44 (v114(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4749, 4748, 4693])).
% 6.21/4.44 tff(4751,plain,
% 6.21/4.44 ((v114(constB1) | v125(constB1)) | (~v114(constB1))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4752,plain,
% 6.21/4.44 (v114(constB1) | v125(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4751, 4750])).
% 6.21/4.44 tff(4753,plain,
% 6.21/4.44 ((~(v113(constB1) <=> (v114(constB1) | v125(constB1)))) | v113(constB1) | (~(v114(constB1) | v125(constB1)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4754,plain,
% 6.21/4.44 (v113(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4753, 4752, 4684])).
% 6.21/4.44 tff(4755,plain,
% 6.21/4.44 (^[VarCurr: state_type] : refl(((~v126(VarCurr)) <=> v111(VarCurr)) <=> ((~v126(VarCurr)) <=> v111(VarCurr)))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4756,plain,
% 6.21/4.44 (![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr)) <=> ![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4755])).
% 6.21/4.44 tff(4757,plain,
% 6.21/4.44 (![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr)) <=> ![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4758,axiom,(![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_13')).
% 6.21/4.44 tff(4759,plain,
% 6.21/4.44 (![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 6.21/4.44 tff(4760,plain,(
% 6.21/4.44 ![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.21/4.44 inference(skolemize,[status(sab)],[4759])).
% 6.21/4.44 tff(4761,plain,
% 6.21/4.44 (![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4760, 4756])).
% 6.21/4.44 tff(4762,plain,
% 6.21/4.44 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB1)) <=> v111(constB1))),
% 6.21/4.44 inference(quant_inst,[status(thm)],[])).
% 6.21/4.44 tff(4763,plain,
% 6.21/4.44 ((~v126(constB1)) <=> v111(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4762, 4761])).
% 6.21/4.44 tff(4764,plain,
% 6.21/4.44 ((~((~v126(constB1)) <=> v111(constB1))) | v126(constB1) | v111(constB1)),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4765,plain,
% 6.21/4.44 ((~((~v126(constB1)) <=> v111(constB1))) | v126(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4764, 4490])).
% 6.21/4.44 tff(4766,plain,
% 6.21/4.44 (v126(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4765, 4763])).
% 6.21/4.44 tff(4767,plain,
% 6.21/4.44 ((~((~v113(constB1)) | (~v126(constB1)))) | (~v113(constB1)) | (~v126(constB1))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4768,plain,
% 6.21/4.44 (~((~v113(constB1)) | (~v126(constB1)))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4767, 4766, 4754])).
% 6.21/4.44 tff(4769,plain,
% 6.21/4.44 ((~(v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))) | v112(constB1) | ((~v113(constB1)) | (~v126(constB1)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4770,plain,
% 6.21/4.44 ((~(v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))) | v112(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4769, 4768])).
% 6.21/4.44 tff(4771,plain,
% 6.21/4.44 (v112(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4770, 4675])).
% 6.21/4.44 tff(4772,plain,
% 6.21/4.44 ((v111(constB1) | v112(constB1)) | (~v112(constB1))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4773,plain,
% 6.21/4.44 (v111(constB1) | v112(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4772, 4771])).
% 6.21/4.44 tff(4774,plain,
% 6.21/4.44 ((~(v108(constB1) <=> (v111(constB1) | v112(constB1)))) | v108(constB1) | (~(v111(constB1) | v112(constB1)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4775,plain,
% 6.21/4.44 (v108(constB1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4774, 4773, 4663])).
% 6.21/4.44 tff(4776,plain,
% 6.21/4.44 ((~(v110(constB2) <=> v108(constB1))) | v110(constB2) | (~v108(constB1))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4777,plain,
% 6.21/4.44 (v110(constB2)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4776, 4775, 4654])).
% 6.21/4.44 tff(4778,plain,
% 6.21/4.44 ((~((~v101(constB2)) | (~v110(constB2)))) | (~v101(constB2)) | (~v110(constB2))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4779,plain,
% 6.21/4.44 (~((~v101(constB2)) | (~v110(constB2)))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4778, 4777, 4640])).
% 6.21/4.44 tff(4780,plain,
% 6.21/4.44 ((~(v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2)))))) | v100(constB2) | ((~v101(constB2)) | (~v110(constB2)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4781,plain,
% 6.21/4.44 (v100(constB2)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4780, 4779, 4592])).
% 6.21/4.44 tff(4782,plain,
% 6.21/4.44 (^[VarNext: state_type] : refl(((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0))))) <=> ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0))))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4783,plain,
% 6.21/4.44 (![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0))))) <=> ![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4782])).
% 6.21/4.44 tff(4784,plain,
% 6.21/4.44 (^[VarNext: state_type] : rewrite(((~v100(VarNext)) | ((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1)) & (v90(VarNext, 0) <=> v129(VarNext, 0)))) <=> ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0))))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4785,plain,
% 6.21/4.44 (![VarNext: state_type] : ((~v100(VarNext)) | ((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1)) & (v90(VarNext, 0) <=> v129(VarNext, 0)))) <=> ![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4784])).
% 6.21/4.44 tff(4786,plain,
% 6.21/4.44 (![VarNext: state_type] : ((~v100(VarNext)) | ((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1)) & (v90(VarNext, 0) <=> v129(VarNext, 0)))) <=> ![VarNext: state_type] : ((~v100(VarNext)) | ((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1)) & (v90(VarNext, 0) <=> v129(VarNext, 0))))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4787,plain,
% 6.21/4.44 (^[VarNext: state_type] : trans(monotonicity(rewrite((((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1))) & (v90(VarNext, 0) <=> v129(VarNext, 0))) <=> ((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1)) & (v90(VarNext, 0) <=> v129(VarNext, 0)))), ((v100(VarNext) => (((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1))) & (v90(VarNext, 0) <=> v129(VarNext, 0)))) <=> (v100(VarNext) => ((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1)) & (v90(VarNext, 0) <=> v129(VarNext, 0)))))), rewrite((v100(VarNext) => ((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1)) & (v90(VarNext, 0) <=> v129(VarNext, 0)))) <=> ((~v100(VarNext)) | ((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1)) & (v90(VarNext, 0) <=> v129(VarNext, 0))))), ((v100(VarNext) => (((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1))) & (v90(VarNext, 0) <=> v129(VarNext, 0)))) <=> ((~v100(VarNext)) | ((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1)) & (v90(VarNext, 0) <=> v129(VarNext, 0))))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4788,plain,
% 6.21/4.44 (![VarNext: state_type] : (v100(VarNext) => (((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1))) & (v90(VarNext, 0) <=> v129(VarNext, 0)))) <=> ![VarNext: state_type] : ((~v100(VarNext)) | ((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1)) & (v90(VarNext, 0) <=> v129(VarNext, 0))))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4787])).
% 6.21/4.44 tff(4789,axiom,(![VarNext: state_type] : (v100(VarNext) => (((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1))) & (v90(VarNext, 0) <=> v129(VarNext, 0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0')).
% 6.21/4.44 tff(4790,plain,
% 6.21/4.44 (![VarNext: state_type] : ((~v100(VarNext)) | ((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1)) & (v90(VarNext, 0) <=> v129(VarNext, 0))))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4789, 4788])).
% 6.21/4.44 tff(4791,plain,
% 6.21/4.44 (![VarNext: state_type] : ((~v100(VarNext)) | ((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1)) & (v90(VarNext, 0) <=> v129(VarNext, 0))))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4790, 4786])).
% 6.21/4.44 tff(4792,plain,(
% 6.21/4.44 ![VarNext: state_type] : ((~v100(VarNext)) | ((v90(VarNext, 2) <=> v129(VarNext, 2)) & (v90(VarNext, 1) <=> v129(VarNext, 1)) & (v90(VarNext, 0) <=> v129(VarNext, 0))))),
% 6.21/4.44 inference(skolemize,[status(sab)],[4791])).
% 6.21/4.44 tff(4793,plain,
% 6.21/4.44 (![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4792, 4785])).
% 6.21/4.44 tff(4794,plain,
% 6.21/4.44 (![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4793, 4783])).
% 6.21/4.44 tff(4795,plain,
% 6.21/4.44 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB2)) | (~(((~v90(constB2, 0)) <=> v129(constB2, 0)) | ((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB2)) | (~(((~v90(constB2, 0)) <=> v129(constB2, 0)) | ((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1)))))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4796,plain,
% 6.21/4.44 (((~v100(constB2)) | (~(((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1)) | ((~v90(constB2, 0)) <=> v129(constB2, 0))))) <=> ((~v100(constB2)) | (~(((~v90(constB2, 0)) <=> v129(constB2, 0)) | ((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1)))))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4797,plain,
% 6.21/4.44 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB2)) | (~(((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1)) | ((~v90(constB2, 0)) <=> v129(constB2, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB2)) | (~(((~v90(constB2, 0)) <=> v129(constB2, 0)) | ((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1))))))),
% 6.21/4.44 inference(monotonicity,[status(thm)],[4796])).
% 6.21/4.44 tff(4798,plain,
% 6.21/4.44 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB2)) | (~(((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1)) | ((~v90(constB2, 0)) <=> v129(constB2, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB2)) | (~(((~v90(constB2, 0)) <=> v129(constB2, 0)) | ((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1)))))),
% 6.21/4.44 inference(transitivity,[status(thm)],[4797, 4795])).
% 6.21/4.44 tff(4799,plain,
% 6.21/4.44 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB2)) | (~(((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1)) | ((~v90(constB2, 0)) <=> v129(constB2, 0)))))),
% 6.21/4.44 inference(quant_inst,[status(thm)],[])).
% 6.21/4.44 tff(4800,plain,
% 6.21/4.44 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB2)) | (~(((~v90(constB2, 0)) <=> v129(constB2, 0)) | ((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1))))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4799, 4798])).
% 6.21/4.44 tff(4801,plain,
% 6.21/4.44 ((~v100(constB2)) | (~(((~v90(constB2, 0)) <=> v129(constB2, 0)) | ((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1))))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4800, 4794])).
% 6.21/4.44 tff(4802,plain,
% 6.21/4.44 (~(((~v90(constB2, 0)) <=> v129(constB2, 0)) | ((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1)))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4801, 4781])).
% 6.21/4.44 tff(4803,plain,
% 6.21/4.44 ((((~v90(constB2, 0)) <=> v129(constB2, 0)) | ((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1))) | (~((~v90(constB2, 2)) <=> v129(constB2, 2)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4804,plain,
% 6.21/4.44 (~((~v90(constB2, 2)) <=> v129(constB2, 2))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4803, 4802])).
% 6.21/4.44 tff(4805,plain,
% 6.21/4.44 (((~v90(constB2, 2)) <=> v129(constB2, 2)) | v90(constB2, 2) | (~v129(constB2, 2))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4806,plain,
% 6.21/4.44 (v90(constB2, 2)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4805, 4804, 4588])).
% 6.21/4.44 tff(4807,plain,
% 6.21/4.44 (((~v90(constB3, 2)) <=> v90(constB2, 2)) | v90(constB3, 2) | (~v90(constB2, 2))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4808,plain,
% 6.21/4.44 (v90(constB3, 2)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4807, 4806, 4474])).
% 6.21/4.44 tff(4809,plain,
% 6.21/4.44 ((((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 0)) <=> v90(constB2, 0))) | (~((~v90(constB3, 0)) <=> v90(constB2, 0)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4810,plain,
% 6.21/4.44 (~((~v90(constB3, 0)) <=> v90(constB2, 0))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4809, 4472])).
% 6.21/4.44 tff(4811,plain,
% 6.21/4.44 ((((~v129(constB2, 2)) <=> v127(constB1, 2)) | ((~v129(constB2, 1)) <=> v127(constB1, 1)) | ((~v129(constB2, 0)) <=> v127(constB1, 0))) | (~((~v129(constB2, 0)) <=> v127(constB1, 0)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4812,plain,
% 6.21/4.44 (~((~v129(constB2, 0)) <=> v127(constB1, 0))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4811, 4481])).
% 6.21/4.44 tff(4813,plain,
% 6.21/4.44 ((((~v127(constB1, 2)) <=> v130(constB1, 2)) | ((~v127(constB1, 1)) <=> v130(constB1, 1)) | ((~v127(constB1, 0)) <=> v130(constB1, 0))) | (~((~v127(constB1, 0)) <=> v130(constB1, 0)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4814,plain,
% 6.21/4.44 (~((~v127(constB1, 0)) <=> v130(constB1, 0))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4813, 4495])).
% 6.21/4.44 tff(4815,plain,
% 6.21/4.44 ((v130(constB1, 1) | v130(constB1, 0) | (~v130(constB1, 2))) | (~v130(constB1, 0))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4816,plain,
% 6.21/4.44 (~v130(constB1, 0)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4815, 4582])).
% 6.21/4.44 tff(4817,plain,
% 6.21/4.44 (((~v127(constB1, 0)) <=> v130(constB1, 0)) | (~v127(constB1, 0)) | v130(constB1, 0)),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4818,plain,
% 6.21/4.44 (~v127(constB1, 0)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4817, 4816, 4814])).
% 6.21/4.44 tff(4819,plain,
% 6.21/4.44 (((~v129(constB2, 0)) <=> v127(constB1, 0)) | (~v129(constB2, 0)) | v127(constB1, 0)),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4820,plain,
% 6.21/4.44 (~v129(constB2, 0)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4819, 4818, 4812])).
% 6.21/4.44 tff(4821,plain,
% 6.21/4.44 ((((~v90(constB2, 0)) <=> v129(constB2, 0)) | ((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1))) | (~((~v90(constB2, 0)) <=> v129(constB2, 0)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4822,plain,
% 6.21/4.44 (~((~v90(constB2, 0)) <=> v129(constB2, 0))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4821, 4802])).
% 6.21/4.44 tff(4823,plain,
% 6.21/4.44 (((~v90(constB2, 0)) <=> v129(constB2, 0)) | (~v90(constB2, 0)) | v129(constB2, 0)),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4824,plain,
% 6.21/4.44 (~v90(constB2, 0)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4823, 4822, 4820])).
% 6.21/4.44 tff(4825,plain,
% 6.21/4.44 (((~v90(constB3, 0)) <=> v90(constB2, 0)) | (~v90(constB3, 0)) | v90(constB2, 0)),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4826,plain,
% 6.21/4.44 (~v90(constB3, 0)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4825, 4824, 4810])).
% 6.21/4.44 tff(4827,plain,
% 6.21/4.44 ((((~v90(constB3, 1)) <=> v90(constB2, 1)) | ((~v90(constB3, 2)) <=> v90(constB2, 2)) | ((~v90(constB3, 0)) <=> v90(constB2, 0))) | (~((~v90(constB3, 1)) <=> v90(constB2, 1)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4828,plain,
% 6.21/4.44 (~((~v90(constB3, 1)) <=> v90(constB2, 1))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4827, 4472])).
% 6.21/4.44 tff(4829,plain,
% 6.21/4.44 ((((~v129(constB2, 2)) <=> v127(constB1, 2)) | ((~v129(constB2, 1)) <=> v127(constB1, 1)) | ((~v129(constB2, 0)) <=> v127(constB1, 0))) | (~((~v129(constB2, 1)) <=> v127(constB1, 1)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4830,plain,
% 6.21/4.44 (~((~v129(constB2, 1)) <=> v127(constB1, 1))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4829, 4481])).
% 6.21/4.44 tff(4831,plain,
% 6.21/4.44 ((((~v127(constB1, 2)) <=> v130(constB1, 2)) | ((~v127(constB1, 1)) <=> v130(constB1, 1)) | ((~v127(constB1, 0)) <=> v130(constB1, 0))) | (~((~v127(constB1, 1)) <=> v130(constB1, 1)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4832,plain,
% 6.21/4.44 (~((~v127(constB1, 1)) <=> v130(constB1, 1))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4831, 4495])).
% 6.21/4.44 tff(4833,plain,
% 6.21/4.44 ((v130(constB1, 1) | v130(constB1, 0) | (~v130(constB1, 2))) | (~v130(constB1, 1))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4834,plain,
% 6.21/4.44 (~v130(constB1, 1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4833, 4582])).
% 6.21/4.44 tff(4835,plain,
% 6.21/4.44 (((~v127(constB1, 1)) <=> v130(constB1, 1)) | (~v127(constB1, 1)) | v130(constB1, 1)),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4836,plain,
% 6.21/4.44 (~v127(constB1, 1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4835, 4834, 4832])).
% 6.21/4.44 tff(4837,plain,
% 6.21/4.44 (((~v129(constB2, 1)) <=> v127(constB1, 1)) | (~v129(constB2, 1)) | v127(constB1, 1)),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4838,plain,
% 6.21/4.44 (~v129(constB2, 1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4837, 4836, 4830])).
% 6.21/4.44 tff(4839,plain,
% 6.21/4.44 ((((~v90(constB2, 0)) <=> v129(constB2, 0)) | ((~v90(constB2, 2)) <=> v129(constB2, 2)) | ((~v90(constB2, 1)) <=> v129(constB2, 1))) | (~((~v90(constB2, 1)) <=> v129(constB2, 1)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4840,plain,
% 6.21/4.44 (~((~v90(constB2, 1)) <=> v129(constB2, 1))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4839, 4802])).
% 6.21/4.44 tff(4841,plain,
% 6.21/4.44 (((~v90(constB2, 1)) <=> v129(constB2, 1)) | (~v90(constB2, 1)) | v129(constB2, 1)),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4842,plain,
% 6.21/4.44 (~v90(constB2, 1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4841, 4840, 4838])).
% 6.21/4.44 tff(4843,plain,
% 6.21/4.44 (((~v90(constB3, 1)) <=> v90(constB2, 1)) | (~v90(constB3, 1)) | v90(constB2, 1)),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4844,plain,
% 6.21/4.44 (~v90(constB3, 1)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4843, 4842, 4828])).
% 6.21/4.44 tff(4845,plain,
% 6.21/4.44 ((~(v90(constB3, 1) | v90(constB3, 0) | (~v90(constB3, 2)))) | v90(constB3, 1) | v90(constB3, 0) | (~v90(constB3, 2))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4846,plain,
% 6.21/4.44 (~(v90(constB3, 1) | v90(constB3, 0) | (~v90(constB3, 2)))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4845, 4844, 4826, 4808])).
% 6.21/4.44 tff(4847,plain,
% 6.21/4.44 ((~(v123(constB3) <=> (~(v90(constB3, 1) | v90(constB3, 0) | (~v90(constB3, 2)))))) | v123(constB3) | (v90(constB3, 1) | v90(constB3, 0) | (~v90(constB3, 2)))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4848,plain,
% 6.21/4.44 (v123(constB3)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4847, 4846, 4438])).
% 6.21/4.44 tff(4849,plain,
% 6.21/4.44 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1))))) <=> ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1))))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4850,plain,
% 6.21/4.44 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1))))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4849])).
% 6.21/4.44 tff(4851,plain,
% 6.21/4.44 (^[VarCurr: state_type] : rewrite(((~v123(VarCurr)) | (v130(VarCurr, 2) & v130(VarCurr, 1) & (~v130(VarCurr, 0)))) <=> ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1))))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4852,plain,
% 6.21/4.44 (![VarCurr: state_type] : ((~v123(VarCurr)) | (v130(VarCurr, 2) & v130(VarCurr, 1) & (~v130(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4851])).
% 6.21/4.44 tff(4853,plain,
% 6.21/4.44 (![VarCurr: state_type] : ((~v123(VarCurr)) | (v130(VarCurr, 2) & v130(VarCurr, 1) & (~v130(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (v130(VarCurr, 2) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4854,plain,
% 6.21/4.44 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $true)) <=> (v130(VarCurr, 2) & v130(VarCurr, 1))), rewrite((v130(VarCurr, 0) <=> $false) <=> (~v130(VarCurr, 0))), ((((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $false)) <=> ((v130(VarCurr, 2) & v130(VarCurr, 1)) & (~v130(VarCurr, 0))))), rewrite(((v130(VarCurr, 2) & v130(VarCurr, 1)) & (~v130(VarCurr, 0))) <=> (v130(VarCurr, 2) & v130(VarCurr, 1) & (~v130(VarCurr, 0)))), ((((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $false)) <=> (v130(VarCurr, 2) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))), ((v123(VarCurr) => (((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $false))) <=> (v123(VarCurr) => (v130(VarCurr, 2) & v130(VarCurr, 1) & (~v130(VarCurr, 0)))))), rewrite((v123(VarCurr) => (v130(VarCurr, 2) & v130(VarCurr, 1) & (~v130(VarCurr, 0)))) <=> ((~v123(VarCurr)) | (v130(VarCurr, 2) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))), ((v123(VarCurr) => (((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $false))) <=> ((~v123(VarCurr)) | (v130(VarCurr, 2) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))))),
% 6.21/4.44 inference(bind,[status(th)],[])).
% 6.21/4.44 tff(4855,plain,
% 6.21/4.44 (![VarCurr: state_type] : (v123(VarCurr) => (((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (v130(VarCurr, 2) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))),
% 6.21/4.44 inference(quant_intro,[status(thm)],[4854])).
% 6.21/4.44 tff(4856,axiom,(![VarCurr: state_type] : (v123(VarCurr) => (((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4')).
% 6.21/4.44 tff(4857,plain,
% 6.21/4.44 (![VarCurr: state_type] : ((~v123(VarCurr)) | (v130(VarCurr, 2) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4856, 4855])).
% 6.21/4.44 tff(4858,plain,
% 6.21/4.44 (![VarCurr: state_type] : ((~v123(VarCurr)) | (v130(VarCurr, 2) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4857, 4853])).
% 6.21/4.44 tff(4859,plain,(
% 6.21/4.44 ![VarCurr: state_type] : ((~v123(VarCurr)) | (v130(VarCurr, 2) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))),
% 6.21/4.44 inference(skolemize,[status(sab)],[4858])).
% 6.21/4.44 tff(4860,plain,
% 6.21/4.44 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4859, 4852])).
% 6.21/4.44 tff(4861,plain,
% 6.21/4.44 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4860, 4850])).
% 6.21/4.44 tff(4862,plain,
% 6.21/4.44 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB3)) | (~(v130(constB3, 0) | (~v130(constB3, 2)) | (~v130(constB3, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB3)) | (~(v130(constB3, 0) | (~v130(constB3, 2)) | (~v130(constB3, 1)))))),
% 6.21/4.44 inference(rewrite,[status(thm)],[])).
% 6.21/4.44 tff(4863,plain,
% 6.21/4.44 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB3)) | (~(v130(constB3, 0) | (~v130(constB3, 2)) | (~v130(constB3, 1)))))),
% 6.21/4.44 inference(quant_inst,[status(thm)],[])).
% 6.21/4.44 tff(4864,plain,
% 6.21/4.44 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB3)) | (~(v130(constB3, 0) | (~v130(constB3, 2)) | (~v130(constB3, 1))))),
% 6.21/4.44 inference(modus_ponens,[status(thm)],[4863, 4862])).
% 6.21/4.44 tff(4865,plain,
% 6.21/4.44 ((~v123(constB3)) | (~(v130(constB3, 0) | (~v130(constB3, 2)) | (~v130(constB3, 1))))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4864, 4861])).
% 6.21/4.44 tff(4866,plain,
% 6.21/4.44 (~(v130(constB3, 0) | (~v130(constB3, 2)) | (~v130(constB3, 1)))),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4865, 4848])).
% 6.21/4.44 tff(4867,plain,
% 6.21/4.44 ((v130(constB3, 0) | (~v130(constB3, 2)) | (~v130(constB3, 1))) | v130(constB3, 2)),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4868,plain,
% 6.21/4.44 (v130(constB3, 2)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4867, 4866])).
% 6.21/4.44 tff(4869,plain,
% 6.21/4.44 (((~v127(constB3, 2)) <=> v130(constB3, 2)) | v127(constB3, 2) | (~v130(constB3, 2))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4870,plain,
% 6.21/4.44 (v127(constB3, 2)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4869, 4868, 4431])).
% 6.21/4.44 tff(4871,plain,
% 6.21/4.44 (((~v129(constB4, 2)) <=> v127(constB3, 2)) | v129(constB4, 2) | (~v127(constB3, 2))),
% 6.21/4.44 inference(tautology,[status(thm)],[])).
% 6.21/4.44 tff(4872,plain,
% 6.21/4.44 (v129(constB4, 2)),
% 6.21/4.44 inference(unit_resolution,[status(thm)],[4871, 4870, 4417])).
% 6.21/4.44 tff(4873,plain,
% 6.21/4.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(4874,plain,
% 6.21/4.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(4875,plain,
% 6.21/4.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4)))))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[4874, 4873])).
% 6.21/4.45 tff(4876,plain,
% 6.21/4.45 (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4875, 4411, 273])).
% 6.21/4.45 tff(4877,plain,
% 6.21/4.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(4878,plain,
% 6.21/4.45 (((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4)))))) <=> ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(4879,plain,
% 6.21/4.45 (((~![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) <=> (~((~v1(constB4)) | (~v102(constB4)))))))),
% 6.21/4.45 inference(monotonicity,[status(thm)],[4878])).
% 6.21/4.45 tff(4880,plain,
% 6.21/4.45 (((~![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) <=> (~((~v1(constB4)) | (~v102(constB4))))))),
% 6.21/4.45 inference(transitivity,[status(thm)],[4879, 4877])).
% 6.21/4.45 tff(4881,plain,
% 6.21/4.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4))))))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(4882,plain,
% 6.21/4.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4)))))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[4881, 4880])).
% 6.21/4.45 tff(4883,plain,
% 6.21/4.45 (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4882, 4411, 293])).
% 6.21/4.45 tff(4884,plain,
% 6.21/4.45 (((~![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)))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(4885,plain,
% 6.21/4.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4)))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(4886,plain,
% 6.21/4.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[4885, 4884])).
% 6.21/4.45 tff(4887,plain,
% 6.21/4.45 ((~v102(constB4)) <=> v104(constB4)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4886, 4411, 4609])).
% 6.21/4.45 tff(4888,plain,
% 6.21/4.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3)))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(4889,plain,
% 6.21/4.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3)))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(4890,plain,
% 6.21/4.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[4889, 4888])).
% 6.21/4.45 tff(4891,plain,
% 6.21/4.45 (v104(constB4) <=> v1(constB3)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4890, 4411, 4623])).
% 6.21/4.45 tff(4892,plain,
% 6.21/4.45 ((~(v104(constB4) <=> v1(constB3))) | (~v104(constB4)) | v1(constB3)),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4893,plain,
% 6.21/4.45 ((~(v104(constB4) <=> v1(constB3))) | (~v104(constB4))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4892, 4455])).
% 6.21/4.45 tff(4894,plain,
% 6.21/4.45 (~v104(constB4)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4893, 4891])).
% 6.21/4.45 tff(4895,plain,
% 6.21/4.45 ((~((~v102(constB4)) <=> v104(constB4))) | v102(constB4) | v104(constB4)),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4896,plain,
% 6.21/4.45 (v102(constB4)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4895, 4894, 4887])).
% 6.21/4.45 tff(4897,plain,
% 6.21/4.45 (v1(constB4) <=> v1(constB4)),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(4898,axiom,(v1(constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_4')).
% 6.21/4.45 tff(4899,plain,
% 6.21/4.45 (v1(constB4)),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[4898, 4897])).
% 6.21/4.45 tff(4900,plain,
% 6.21/4.45 ((~((~v1(constB4)) | (~v102(constB4)))) | (~v1(constB4)) | (~v102(constB4))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4901,plain,
% 6.21/4.45 ((~((~v1(constB4)) | (~v102(constB4)))) | (~v102(constB4))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4900, 4899])).
% 6.21/4.45 tff(4902,plain,
% 6.21/4.45 (~((~v1(constB4)) | (~v102(constB4)))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4901, 4896])).
% 6.21/4.45 tff(4903,plain,
% 6.21/4.45 ((~(v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4)))))) | v101(constB4) | ((~v1(constB4)) | (~v102(constB4)))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4904,plain,
% 6.21/4.45 (v101(constB4)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4903, 4902, 4883])).
% 6.21/4.45 tff(4905,plain,
% 6.21/4.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3)))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(4906,plain,
% 6.21/4.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3)))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(4907,plain,
% 6.21/4.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[4906, 4905])).
% 6.21/4.45 tff(4908,plain,
% 6.21/4.45 (v110(constB4) <=> v108(constB3)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4907, 4411, 4650])).
% 6.21/4.45 tff(4909,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB3) <=> (v111(constB3) | v112(constB3)))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(4910,plain,
% 6.21/4.45 (v108(constB3) <=> (v111(constB3) | v112(constB3))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4909, 4661])).
% 6.21/4.45 tff(4911,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3)))))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(4912,plain,
% 6.21/4.45 (v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3))))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4911, 4673])).
% 6.21/4.45 tff(4913,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB3) <=> (v114(constB3) | v125(constB3)))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(4914,plain,
% 6.21/4.45 (v113(constB3) <=> (v114(constB3) | v125(constB3))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4913, 4682])).
% 6.21/4.45 tff(4915,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB3) <=> (v115(constB3) | v124(constB3)))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(4916,plain,
% 6.21/4.45 (v114(constB3) <=> (v115(constB3) | v124(constB3))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4915, 4691])).
% 6.21/4.45 tff(4917,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB3) <=> (v116(constB3) | v123(constB3)))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(4918,plain,
% 6.21/4.45 (v115(constB3) <=> (v116(constB3) | v123(constB3))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4917, 4700])).
% 6.21/4.45 tff(4919,plain,
% 6.21/4.45 ((v116(constB3) | v123(constB3)) | (~v123(constB3))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4920,plain,
% 6.21/4.45 (v116(constB3) | v123(constB3)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4919, 4848])).
% 6.21/4.45 tff(4921,plain,
% 6.21/4.45 ((~(v115(constB3) <=> (v116(constB3) | v123(constB3)))) | v115(constB3) | (~(v116(constB3) | v123(constB3)))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4922,plain,
% 6.21/4.45 (v115(constB3)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4921, 4920, 4918])).
% 6.21/4.45 tff(4923,plain,
% 6.21/4.45 ((v115(constB3) | v124(constB3)) | (~v115(constB3))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4924,plain,
% 6.21/4.45 (v115(constB3) | v124(constB3)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4923, 4922])).
% 6.21/4.45 tff(4925,plain,
% 6.21/4.45 ((~(v114(constB3) <=> (v115(constB3) | v124(constB3)))) | v114(constB3) | (~(v115(constB3) | v124(constB3)))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4926,plain,
% 6.21/4.45 (v114(constB3)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4925, 4924, 4916])).
% 6.21/4.45 tff(4927,plain,
% 6.21/4.45 ((v114(constB3) | v125(constB3)) | (~v114(constB3))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4928,plain,
% 6.21/4.45 (v114(constB3) | v125(constB3)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4927, 4926])).
% 6.21/4.45 tff(4929,plain,
% 6.21/4.45 ((~(v113(constB3) <=> (v114(constB3) | v125(constB3)))) | v113(constB3) | (~(v114(constB3) | v125(constB3)))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4930,plain,
% 6.21/4.45 (v113(constB3)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4929, 4928, 4914])).
% 6.21/4.45 tff(4931,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB3)) <=> v111(constB3))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(4932,plain,
% 6.21/4.45 ((~v126(constB3)) <=> v111(constB3)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4931, 4761])).
% 6.21/4.45 tff(4933,plain,
% 6.21/4.45 ((~((~v126(constB3)) <=> v111(constB3))) | v126(constB3) | v111(constB3)),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4934,plain,
% 6.21/4.45 ((~((~v126(constB3)) <=> v111(constB3))) | v126(constB3)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4933, 4424])).
% 6.21/4.45 tff(4935,plain,
% 6.21/4.45 (v126(constB3)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4934, 4932])).
% 6.21/4.45 tff(4936,plain,
% 6.21/4.45 ((~((~v113(constB3)) | (~v126(constB3)))) | (~v113(constB3)) | (~v126(constB3))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4937,plain,
% 6.21/4.45 ((~((~v113(constB3)) | (~v126(constB3)))) | (~v113(constB3))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4936, 4935])).
% 6.21/4.45 tff(4938,plain,
% 6.21/4.45 (~((~v113(constB3)) | (~v126(constB3)))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4937, 4930])).
% 6.21/4.45 tff(4939,plain,
% 6.21/4.45 ((~(v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3)))))) | v112(constB3) | ((~v113(constB3)) | (~v126(constB3)))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4940,plain,
% 6.21/4.45 (v112(constB3)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4939, 4938, 4912])).
% 6.21/4.45 tff(4941,plain,
% 6.21/4.45 ((v111(constB3) | v112(constB3)) | (~v112(constB3))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4942,plain,
% 6.21/4.45 (v111(constB3) | v112(constB3)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4941, 4940])).
% 6.21/4.45 tff(4943,plain,
% 6.21/4.45 ((~(v108(constB3) <=> (v111(constB3) | v112(constB3)))) | v108(constB3) | (~(v111(constB3) | v112(constB3)))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4944,plain,
% 6.21/4.45 (v108(constB3)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4943, 4942, 4910])).
% 6.21/4.45 tff(4945,plain,
% 6.21/4.45 ((~(v110(constB4) <=> v108(constB3))) | v110(constB4) | (~v108(constB3))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4946,plain,
% 6.21/4.45 (v110(constB4)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4945, 4944, 4908])).
% 6.21/4.45 tff(4947,plain,
% 6.21/4.45 ((~((~v101(constB4)) | (~v110(constB4)))) | (~v101(constB4)) | (~v110(constB4))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4948,plain,
% 6.21/4.45 (~((~v101(constB4)) | (~v110(constB4)))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4947, 4946, 4904])).
% 6.21/4.45 tff(4949,plain,
% 6.21/4.45 ((~(v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4)))))) | v100(constB4) | ((~v101(constB4)) | (~v110(constB4)))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4950,plain,
% 6.21/4.45 (v100(constB4)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4949, 4948, 4876])).
% 6.21/4.45 tff(4951,plain,
% 6.21/4.45 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB4)) | (~(((~v90(constB4, 2)) <=> v129(constB4, 2)) | ((~v90(constB4, 1)) <=> v129(constB4, 1)) | ((~v90(constB4, 0)) <=> v129(constB4, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB4)) | (~(((~v90(constB4, 2)) <=> v129(constB4, 2)) | ((~v90(constB4, 1)) <=> v129(constB4, 1)) | ((~v90(constB4, 0)) <=> v129(constB4, 0)))))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(4952,plain,
% 6.21/4.45 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB4)) | (~(((~v90(constB4, 2)) <=> v129(constB4, 2)) | ((~v90(constB4, 1)) <=> v129(constB4, 1)) | ((~v90(constB4, 0)) <=> v129(constB4, 0)))))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(4953,plain,
% 6.21/4.45 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB4)) | (~(((~v90(constB4, 2)) <=> v129(constB4, 2)) | ((~v90(constB4, 1)) <=> v129(constB4, 1)) | ((~v90(constB4, 0)) <=> v129(constB4, 0))))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[4952, 4951])).
% 6.21/4.45 tff(4954,plain,
% 6.21/4.45 ((~v100(constB4)) | (~(((~v90(constB4, 2)) <=> v129(constB4, 2)) | ((~v90(constB4, 1)) <=> v129(constB4, 1)) | ((~v90(constB4, 0)) <=> v129(constB4, 0))))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4953, 4794])).
% 6.21/4.45 tff(4955,plain,
% 6.21/4.45 (~(((~v90(constB4, 2)) <=> v129(constB4, 2)) | ((~v90(constB4, 1)) <=> v129(constB4, 1)) | ((~v90(constB4, 0)) <=> v129(constB4, 0)))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4954, 4950])).
% 6.21/4.45 tff(4956,plain,
% 6.21/4.45 ((((~v90(constB4, 2)) <=> v129(constB4, 2)) | ((~v90(constB4, 1)) <=> v129(constB4, 1)) | ((~v90(constB4, 0)) <=> v129(constB4, 0))) | (~((~v90(constB4, 2)) <=> v129(constB4, 2)))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4957,plain,
% 6.21/4.45 (~((~v90(constB4, 2)) <=> v129(constB4, 2))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4956, 4955])).
% 6.21/4.45 tff(4958,plain,
% 6.21/4.45 (((~v90(constB4, 2)) <=> v129(constB4, 2)) | v90(constB4, 2) | (~v129(constB4, 2))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4959,plain,
% 6.21/4.45 (v90(constB4, 2)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4958, 4957, 4872])).
% 6.21/4.45 tff(4960,plain,
% 6.21/4.45 (((~v90(constB5, 2)) <=> v90(constB4, 2)) | v90(constB5, 2) | (~v90(constB4, 2))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4961,plain,
% 6.21/4.45 (v90(constB5, 2)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4960, 4959, 4408])).
% 6.21/4.45 tff(4962,plain,
% 6.21/4.45 ((v90(constB5, 0) | v90(constB5, 1) | v90(constB5, 2)) | (~v90(constB5, 2))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4963,plain,
% 6.21/4.45 (v90(constB5, 0) | v90(constB5, 1) | v90(constB5, 2)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4962, 4961])).
% 6.21/4.45 tff(4964,plain,
% 6.21/4.45 ((~(v119(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 1) | v90(constB5, 2))))) | (~v119(constB5)) | (~(v90(constB5, 0) | v90(constB5, 1) | v90(constB5, 2)))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4965,plain,
% 6.21/4.45 (~v119(constB5)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4964, 4963, 4372])).
% 6.21/4.45 tff(4966,plain,
% 6.21/4.45 (^[VarCurr: state_type] : refl((v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2))))) <=> (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2))))))),
% 6.21/4.45 inference(bind,[status(th)],[])).
% 6.21/4.45 tff(4967,plain,
% 6.21/4.45 (![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2))))) <=> ![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))),
% 6.21/4.45 inference(quant_intro,[status(thm)],[4966])).
% 6.21/4.45 tff(4968,plain,
% 6.21/4.45 (^[VarCurr: state_type] : rewrite((v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))) <=> (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2))))))),
% 6.21/4.45 inference(bind,[status(th)],[])).
% 6.21/4.45 tff(4969,plain,
% 6.21/4.45 (![VarCurr: state_type] : (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))) <=> ![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))),
% 6.21/4.45 inference(quant_intro,[status(thm)],[4968])).
% 6.21/4.45 tff(4970,plain,
% 6.21/4.45 (![VarCurr: state_type] : (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))) <=> ![VarCurr: state_type] : (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(4971,plain,
% 6.21/4.45 (^[VarCurr: state_type] : rewrite((v124(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $true))) <=> (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))))),
% 6.21/4.45 inference(bind,[status(th)],[])).
% 6.21/4.45 tff(4972,plain,
% 6.21/4.45 (![VarCurr: state_type] : (v124(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 6.21/4.45 inference(quant_intro,[status(thm)],[4971])).
% 6.21/4.45 tff(4973,axiom,(![VarCurr: state_type] : (v124(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7')).
% 6.21/4.45 tff(4974,plain,
% 6.21/4.45 (![VarCurr: state_type] : (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[4973, 4972])).
% 6.21/4.45 tff(4975,plain,
% 6.21/4.45 (![VarCurr: state_type] : (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[4974, 4970])).
% 6.21/4.45 tff(4976,plain,(
% 6.21/4.45 ![VarCurr: state_type] : (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 6.21/4.45 inference(skolemize,[status(sab)],[4975])).
% 6.21/4.45 tff(4977,plain,
% 6.21/4.45 (![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[4976, 4969])).
% 6.21/4.45 tff(4978,plain,
% 6.21/4.45 (![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[4977, 4967])).
% 6.21/4.45 tff(4979,plain,
% 6.21/4.45 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB5) <=> (~(v90(constB5, 1) | (~v90(constB5, 2)) | (~v90(constB5, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB5) <=> (~(v90(constB5, 1) | (~v90(constB5, 2)) | (~v90(constB5, 0))))))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(4980,plain,
% 6.21/4.45 ((v124(constB5) <=> (~(v90(constB5, 1) | (~v90(constB5, 0)) | (~v90(constB5, 2))))) <=> (v124(constB5) <=> (~(v90(constB5, 1) | (~v90(constB5, 2)) | (~v90(constB5, 0)))))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(4981,plain,
% 6.21/4.45 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB5) <=> (~(v90(constB5, 1) | (~v90(constB5, 0)) | (~v90(constB5, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB5) <=> (~(v90(constB5, 1) | (~v90(constB5, 2)) | (~v90(constB5, 0))))))),
% 6.21/4.45 inference(monotonicity,[status(thm)],[4980])).
% 6.21/4.45 tff(4982,plain,
% 6.21/4.45 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB5) <=> (~(v90(constB5, 1) | (~v90(constB5, 0)) | (~v90(constB5, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB5) <=> (~(v90(constB5, 1) | (~v90(constB5, 2)) | (~v90(constB5, 0))))))),
% 6.21/4.45 inference(transitivity,[status(thm)],[4981, 4979])).
% 6.21/4.45 tff(4983,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB5) <=> (~(v90(constB5, 1) | (~v90(constB5, 0)) | (~v90(constB5, 2)))))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(4984,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB5) <=> (~(v90(constB5, 1) | (~v90(constB5, 2)) | (~v90(constB5, 0)))))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[4983, 4982])).
% 6.21/4.45 tff(4985,plain,
% 6.21/4.45 (v124(constB5) <=> (~(v90(constB5, 1) | (~v90(constB5, 2)) | (~v90(constB5, 0))))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4984, 4978])).
% 6.21/4.45 tff(4986,plain,
% 6.21/4.45 ((((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0))) | (~((~v90(constB5, 1)) <=> v90(constB4, 1)))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4987,plain,
% 6.21/4.45 (~((~v90(constB5, 1)) <=> v90(constB4, 1))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4986, 4406])).
% 6.21/4.45 tff(4988,plain,
% 6.21/4.45 ((((~v129(constB4, 2)) <=> v127(constB3, 2)) | ((~v129(constB4, 1)) <=> v127(constB3, 1)) | ((~v129(constB4, 0)) <=> v127(constB3, 0))) | (~((~v129(constB4, 1)) <=> v127(constB3, 1)))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4989,plain,
% 6.21/4.45 (~((~v129(constB4, 1)) <=> v127(constB3, 1))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4988, 4415])).
% 6.21/4.45 tff(4990,plain,
% 6.21/4.45 ((((~v127(constB3, 2)) <=> v130(constB3, 2)) | ((~v127(constB3, 1)) <=> v130(constB3, 1)) | ((~v127(constB3, 0)) <=> v130(constB3, 0))) | (~((~v127(constB3, 1)) <=> v130(constB3, 1)))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4991,plain,
% 6.21/4.45 (~((~v127(constB3, 1)) <=> v130(constB3, 1))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4990, 4429])).
% 6.21/4.45 tff(4992,plain,
% 6.21/4.45 ((v130(constB3, 0) | (~v130(constB3, 2)) | (~v130(constB3, 1))) | v130(constB3, 1)),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4993,plain,
% 6.21/4.45 (v130(constB3, 1)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4992, 4866])).
% 6.21/4.45 tff(4994,plain,
% 6.21/4.45 (((~v127(constB3, 1)) <=> v130(constB3, 1)) | v127(constB3, 1) | (~v130(constB3, 1))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4995,plain,
% 6.21/4.45 (v127(constB3, 1)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4994, 4993, 4991])).
% 6.21/4.45 tff(4996,plain,
% 6.21/4.45 (((~v129(constB4, 1)) <=> v127(constB3, 1)) | v129(constB4, 1) | (~v127(constB3, 1))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4997,plain,
% 6.21/4.45 (v129(constB4, 1)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4996, 4995, 4989])).
% 6.21/4.45 tff(4998,plain,
% 6.21/4.45 ((((~v90(constB4, 2)) <=> v129(constB4, 2)) | ((~v90(constB4, 1)) <=> v129(constB4, 1)) | ((~v90(constB4, 0)) <=> v129(constB4, 0))) | (~((~v90(constB4, 1)) <=> v129(constB4, 1)))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(4999,plain,
% 6.21/4.45 (~((~v90(constB4, 1)) <=> v129(constB4, 1))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[4998, 4955])).
% 6.21/4.45 tff(5000,plain,
% 6.21/4.45 (((~v90(constB4, 1)) <=> v129(constB4, 1)) | v90(constB4, 1) | (~v129(constB4, 1))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(5001,plain,
% 6.21/4.45 (v90(constB4, 1)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5000, 4999, 4997])).
% 6.21/4.45 tff(5002,plain,
% 6.21/4.45 (((~v90(constB5, 1)) <=> v90(constB4, 1)) | v90(constB5, 1) | (~v90(constB4, 1))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(5003,plain,
% 6.21/4.45 (v90(constB5, 1)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5002, 5001, 4987])).
% 6.21/4.45 tff(5004,plain,
% 6.21/4.45 ((v90(constB5, 1) | (~v90(constB5, 2)) | (~v90(constB5, 0))) | (~v90(constB5, 1))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(5005,plain,
% 6.21/4.45 (v90(constB5, 1) | (~v90(constB5, 2)) | (~v90(constB5, 0))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5004, 5003])).
% 6.21/4.45 tff(5006,plain,
% 6.21/4.45 ((~(v124(constB5) <=> (~(v90(constB5, 1) | (~v90(constB5, 2)) | (~v90(constB5, 0)))))) | (~v124(constB5)) | (~(v90(constB5, 1) | (~v90(constB5, 2)) | (~v90(constB5, 0))))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(5007,plain,
% 6.21/4.45 (~v124(constB5)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5006, 5005, 4985])).
% 6.21/4.45 tff(5008,plain,
% 6.21/4.45 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB5) <=> (~(v90(constB5, 1) | v90(constB5, 0) | (~v90(constB5, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB5) <=> (~(v90(constB5, 1) | v90(constB5, 0) | (~v90(constB5, 2))))))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(5009,plain,
% 6.21/4.45 ((v123(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 1) | (~v90(constB5, 2))))) <=> (v123(constB5) <=> (~(v90(constB5, 1) | v90(constB5, 0) | (~v90(constB5, 2)))))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(5010,plain,
% 6.21/4.45 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 1) | (~v90(constB5, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB5) <=> (~(v90(constB5, 1) | v90(constB5, 0) | (~v90(constB5, 2))))))),
% 6.21/4.45 inference(monotonicity,[status(thm)],[5009])).
% 6.21/4.45 tff(5011,plain,
% 6.21/4.45 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 1) | (~v90(constB5, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB5) <=> (~(v90(constB5, 1) | v90(constB5, 0) | (~v90(constB5, 2))))))),
% 6.21/4.45 inference(transitivity,[status(thm)],[5010, 5008])).
% 6.21/4.45 tff(5012,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 1) | (~v90(constB5, 2)))))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(5013,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB5) <=> (~(v90(constB5, 1) | v90(constB5, 0) | (~v90(constB5, 2)))))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[5012, 5011])).
% 6.21/4.45 tff(5014,plain,
% 6.21/4.45 (v123(constB5) <=> (~(v90(constB5, 1) | v90(constB5, 0) | (~v90(constB5, 2))))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5013, 565])).
% 6.21/4.45 tff(5015,plain,
% 6.21/4.45 ((v90(constB5, 1) | v90(constB5, 0) | (~v90(constB5, 2))) | (~v90(constB5, 1))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(5016,plain,
% 6.21/4.45 (v90(constB5, 1) | v90(constB5, 0) | (~v90(constB5, 2))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5015, 5003])).
% 6.21/4.45 tff(5017,plain,
% 6.21/4.45 ((~(v123(constB5) <=> (~(v90(constB5, 1) | v90(constB5, 0) | (~v90(constB5, 2)))))) | (~v123(constB5)) | (~(v90(constB5, 1) | v90(constB5, 0) | (~v90(constB5, 2))))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(5018,plain,
% 6.21/4.45 (~v123(constB5)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5017, 5016, 5014])).
% 6.21/4.45 tff(5019,plain,
% 6.21/4.45 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB5) <=> (~(v90(constB5, 2) | (~v90(constB5, 1)) | (~v90(constB5, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB5) <=> (~(v90(constB5, 2) | (~v90(constB5, 1)) | (~v90(constB5, 0))))))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(5020,plain,
% 6.21/4.45 ((v122(constB5) <=> (~(v90(constB5, 2) | (~v90(constB5, 0)) | (~v90(constB5, 1))))) <=> (v122(constB5) <=> (~(v90(constB5, 2) | (~v90(constB5, 1)) | (~v90(constB5, 0)))))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(5021,plain,
% 6.21/4.45 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB5) <=> (~(v90(constB5, 2) | (~v90(constB5, 0)) | (~v90(constB5, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB5) <=> (~(v90(constB5, 2) | (~v90(constB5, 1)) | (~v90(constB5, 0))))))),
% 6.21/4.45 inference(monotonicity,[status(thm)],[5020])).
% 6.21/4.45 tff(5022,plain,
% 6.21/4.45 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB5) <=> (~(v90(constB5, 2) | (~v90(constB5, 0)) | (~v90(constB5, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB5) <=> (~(v90(constB5, 2) | (~v90(constB5, 1)) | (~v90(constB5, 0))))))),
% 6.21/4.45 inference(transitivity,[status(thm)],[5021, 5019])).
% 6.21/4.45 tff(5023,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB5) <=> (~(v90(constB5, 2) | (~v90(constB5, 0)) | (~v90(constB5, 1)))))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(5024,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB5) <=> (~(v90(constB5, 2) | (~v90(constB5, 1)) | (~v90(constB5, 0)))))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[5023, 5022])).
% 6.21/4.45 tff(5025,plain,
% 6.21/4.45 (v122(constB5) <=> (~(v90(constB5, 2) | (~v90(constB5, 1)) | (~v90(constB5, 0))))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5024, 644])).
% 6.21/4.45 tff(5026,plain,
% 6.21/4.45 ((v90(constB5, 2) | (~v90(constB5, 1)) | (~v90(constB5, 0))) | (~v90(constB5, 2))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(5027,plain,
% 6.21/4.45 (v90(constB5, 2) | (~v90(constB5, 1)) | (~v90(constB5, 0))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5026, 4961])).
% 6.21/4.45 tff(5028,plain,
% 6.21/4.45 ((~(v122(constB5) <=> (~(v90(constB5, 2) | (~v90(constB5, 1)) | (~v90(constB5, 0)))))) | (~v122(constB5)) | (~(v90(constB5, 2) | (~v90(constB5, 1)) | (~v90(constB5, 0))))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(5029,plain,
% 6.21/4.45 (~v122(constB5)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5028, 5027, 5025])).
% 6.21/4.45 tff(5030,plain,
% 6.21/4.45 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1))))))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(5031,plain,
% 6.21/4.45 ((v121(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 2) | (~v90(constB5, 1))))) <=> (v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1)))))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(5032,plain,
% 6.21/4.45 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 2) | (~v90(constB5, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1))))))),
% 6.21/4.45 inference(monotonicity,[status(thm)],[5031])).
% 6.21/4.45 tff(5033,plain,
% 6.21/4.45 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 2) | (~v90(constB5, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1))))))),
% 6.21/4.45 inference(transitivity,[status(thm)],[5032, 5030])).
% 6.21/4.45 tff(5034,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 2) | (~v90(constB5, 1)))))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(5035,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1)))))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[5034, 5033])).
% 6.21/4.45 tff(5036,plain,
% 6.21/4.45 (v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1))))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5035, 723])).
% 6.21/4.45 tff(5037,plain,
% 6.21/4.45 ((v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1))) | (~v90(constB5, 2))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(5038,plain,
% 6.21/4.45 (v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5037, 4961])).
% 6.21/4.45 tff(5039,plain,
% 6.21/4.45 ((~(v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1)))))) | (~v121(constB5)) | (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1))))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(5040,plain,
% 6.21/4.45 (~v121(constB5)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5039, 5038, 5036])).
% 6.21/4.45 tff(5041,plain,
% 6.21/4.45 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB5) <=> (~(v90(constB5, 1) | v90(constB5, 2) | (~v90(constB5, 0)))))),
% 6.21/4.45 inference(quant_inst,[status(thm)],[])).
% 6.21/4.45 tff(5042,plain,
% 6.21/4.45 (v120(constB5) <=> (~(v90(constB5, 1) | v90(constB5, 2) | (~v90(constB5, 0))))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5041, 417])).
% 6.21/4.45 tff(5043,plain,
% 6.21/4.45 ((v90(constB5, 1) | v90(constB5, 2) | (~v90(constB5, 0))) | (~v90(constB5, 2))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(5044,plain,
% 6.21/4.45 (v90(constB5, 1) | v90(constB5, 2) | (~v90(constB5, 0))),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5043, 4961])).
% 6.21/4.45 tff(5045,plain,
% 6.21/4.45 ((~(v120(constB5) <=> (~(v90(constB5, 1) | v90(constB5, 2) | (~v90(constB5, 0)))))) | (~v120(constB5)) | (~(v90(constB5, 1) | v90(constB5, 2) | (~v90(constB5, 0))))),
% 6.21/4.45 inference(tautology,[status(thm)],[])).
% 6.21/4.45 tff(5046,plain,
% 6.21/4.45 (~v120(constB5)),
% 6.21/4.45 inference(unit_resolution,[status(thm)],[5045, 5044, 5042])).
% 6.21/4.45 tff(5047,plain,
% 6.21/4.45 (^[VarCurr: state_type] : refl((v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0))))) <=> (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0))))))),
% 6.21/4.45 inference(bind,[status(th)],[])).
% 6.21/4.45 tff(5048,plain,
% 6.21/4.45 (![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0))))) <=> ![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))),
% 6.21/4.45 inference(quant_intro,[status(thm)],[5047])).
% 6.21/4.45 tff(5049,plain,
% 6.21/4.45 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(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)))))), 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)))), rewrite(((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0)) <=> (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0))))), (((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0))))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0))))) <=> (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))), (((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0))) <=> (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))))),
% 6.21/4.45 inference(bind,[status(th)],[])).
% 6.21/4.45 tff(5050,plain,
% 6.21/4.45 (![VarCurr: state_type] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0))) <=> ![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))),
% 6.21/4.45 inference(quant_intro,[status(thm)],[5049])).
% 6.21/4.45 tff(5051,plain,
% 6.21/4.45 (![VarCurr: state_type] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0)))),
% 6.21/4.45 inference(rewrite,[status(thm)],[])).
% 6.21/4.45 tff(5052,plain,
% 6.21/4.45 (^[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))))), trans(monotonicity(rewrite(((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $false)) <=> ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)))), rewrite((v130(VarCurr, 0) <=> $true) <=> v130(VarCurr, 0)), ((((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $true)) <=> (((~v130(VarCurr, 2)) & (~v130(VarCurr, 1))) & v130(VarCurr, 0)))), rewrite((((~v130(VarCurr, 2)) & (~v130(VarCurr, 1))) & v130(VarCurr, 0)) <=> ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0))), ((((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $true)) <=> ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0)))), ((((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => (((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $true))) <=> (((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr))) => ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0))))), rewrite((((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr))) => ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0))) <=> ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0)))), ((((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => (((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $true))) <=> ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0)))))),
% 6.21/4.45 inference(bind,[status(th)],[])).
% 6.21/4.45 tff(5053,plain,
% 6.21/4.45 (![VarCurr: state_type] : (((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => (((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0)))),
% 6.21/4.45 inference(quant_intro,[status(thm)],[5052])).
% 6.21/4.45 tff(5054,axiom,(![VarCurr: state_type] : (((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => (((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6')).
% 6.21/4.45 tff(5055,plain,
% 6.21/4.45 (![VarCurr: state_type] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0)))),
% 6.21/4.45 inference(modus_ponens,[status(thm)],[5054, 5053])).
% 6.21/4.46 tff(5056,plain,
% 6.21/4.46 (![VarCurr: state_type] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0)))),
% 6.21/4.46 inference(modus_ponens,[status(thm)],[5055, 5051])).
% 6.21/4.46 tff(5057,plain,(
% 6.21/4.46 ![VarCurr: state_type] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, 2)) & (~v130(VarCurr, 1)) & v130(VarCurr, 0)))),
% 6.21/4.46 inference(skolemize,[status(sab)],[5056])).
% 6.21/4.46 tff(5058,plain,
% 6.21/4.46 (![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))),
% 6.21/4.46 inference(modus_ponens,[status(thm)],[5057, 5050])).
% 6.21/4.46 tff(5059,plain,
% 6.21/4.46 (![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))),
% 6.21/4.46 inference(modus_ponens,[status(thm)],[5058, 5048])).
% 6.21/4.46 tff(5060,plain,
% 6.21/4.46 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0)))))),
% 6.21/4.46 inference(rewrite,[status(thm)],[])).
% 6.21/4.46 tff(5061,plain,
% 6.21/4.46 ((v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~(v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0))))) <=> (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0)))))),
% 6.21/4.46 inference(rewrite,[status(thm)],[])).
% 6.21/4.46 tff(5062,plain,
% 6.21/4.46 ((~(v130(constB5, 1) | v130(constB5, 2) | (~v130(constB5, 0)))) <=> (~(v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0))))),
% 6.21/4.46 inference(rewrite,[status(thm)],[])).
% 6.21/4.46 tff(5063,plain,
% 6.21/4.46 ((v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~(v130(constB5, 1) | v130(constB5, 2) | (~v130(constB5, 0))))) <=> (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~(v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0)))))),
% 6.21/4.46 inference(monotonicity,[status(thm)],[5062])).
% 6.21/4.46 tff(5064,plain,
% 6.21/4.46 ((v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~(v130(constB5, 1) | v130(constB5, 2) | (~v130(constB5, 0))))) <=> (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0)))))),
% 6.21/4.46 inference(transitivity,[status(thm)],[5063, 5061])).
% 6.21/4.46 tff(5065,plain,
% 6.21/4.46 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~(v130(constB5, 1) | v130(constB5, 2) | (~v130(constB5, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0))))))),
% 6.21/4.46 inference(monotonicity,[status(thm)],[5064])).
% 6.21/4.46 tff(5066,plain,
% 6.21/4.46 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~(v130(constB5, 1) | v130(constB5, 2) | (~v130(constB5, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0)))))),
% 6.21/4.46 inference(transitivity,[status(thm)],[5065, 5060])).
% 6.21/4.46 tff(5067,plain,
% 6.21/4.46 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~(v130(constB5, 1) | v130(constB5, 2) | (~v130(constB5, 0)))))),
% 6.21/4.46 inference(quant_inst,[status(thm)],[])).
% 6.21/4.46 tff(5068,plain,
% 6.21/4.46 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0))))),
% 6.21/4.46 inference(modus_ponens,[status(thm)],[5067, 5066])).
% 6.21/4.46 tff(5069,plain,
% 6.21/4.46 (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0))))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5068, 5059])).
% 6.21/4.46 tff(5070,plain,
% 6.21/4.46 (~(v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0)))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5069, 5046, 5040, 5029, 5018, 5007, 4965])).
% 6.21/4.46 tff(5071,plain,
% 6.21/4.46 ((v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0))) | (~v130(constB5, 2))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5072,plain,
% 6.21/4.46 (~v130(constB5, 2)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5071, 5070])).
% 6.21/4.46 tff(5073,plain,
% 6.21/4.46 (((~v127(constB5, 2)) <=> v130(constB5, 2)) | (~v127(constB5, 2)) | v130(constB5, 2)),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5074,plain,
% 6.21/4.46 (~v127(constB5, 2)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5073, 5072, 4370])).
% 6.21/4.46 tff(5075,plain,
% 6.21/4.46 (((~v129(constB6, 2)) <=> v127(constB5, 2)) | (~v129(constB6, 2)) | v127(constB5, 2)),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5076,plain,
% 6.21/4.46 (~v129(constB6, 2)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5075, 5074, 4356])).
% 6.21/4.46 tff(5077,plain,
% 6.21/4.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))))),
% 6.21/4.46 inference(rewrite,[status(thm)],[])).
% 6.21/4.46 tff(5078,plain,
% 6.21/4.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))))),
% 6.21/4.46 inference(quant_inst,[status(thm)],[])).
% 6.21/4.46 tff(5079,plain,
% 6.21/4.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6)))))),
% 6.21/4.46 inference(modus_ponens,[status(thm)],[5078, 5077])).
% 6.21/4.46 tff(5080,plain,
% 6.21/4.46 (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5079, 4350, 273])).
% 6.21/4.46 tff(5081,plain,
% 6.21/4.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))),
% 6.21/4.46 inference(rewrite,[status(thm)],[])).
% 6.21/4.46 tff(5082,plain,
% 6.21/4.46 (((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6)))))) <=> ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))),
% 6.21/4.46 inference(rewrite,[status(thm)],[])).
% 6.21/4.46 tff(5083,plain,
% 6.21/4.46 (((~![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) <=> (~((~v1(constB6)) | (~v102(constB6)))))))),
% 6.21/4.46 inference(monotonicity,[status(thm)],[5082])).
% 6.21/4.46 tff(5084,plain,
% 6.21/4.46 (((~![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) <=> (~((~v1(constB6)) | (~v102(constB6))))))),
% 6.21/4.46 inference(transitivity,[status(thm)],[5083, 5081])).
% 6.21/4.46 tff(5085,plain,
% 6.21/4.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6))))))),
% 6.21/4.46 inference(quant_inst,[status(thm)],[])).
% 6.21/4.46 tff(5086,plain,
% 6.21/4.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6)))))),
% 6.21/4.46 inference(modus_ponens,[status(thm)],[5085, 5084])).
% 6.21/4.46 tff(5087,plain,
% 6.21/4.46 (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5086, 4350, 293])).
% 6.21/4.46 tff(5088,plain,
% 6.21/4.46 (((~![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)))),
% 6.21/4.46 inference(rewrite,[status(thm)],[])).
% 6.21/4.46 tff(5089,plain,
% 6.21/4.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6)))),
% 6.21/4.46 inference(quant_inst,[status(thm)],[])).
% 6.21/4.46 tff(5090,plain,
% 6.21/4.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6))),
% 6.21/4.46 inference(modus_ponens,[status(thm)],[5089, 5088])).
% 6.21/4.46 tff(5091,plain,
% 6.21/4.46 ((~v102(constB6)) <=> v104(constB6)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5090, 4350, 4609])).
% 6.21/4.46 tff(5092,plain,
% 6.21/4.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5)))),
% 6.21/4.46 inference(rewrite,[status(thm)],[])).
% 6.21/4.46 tff(5093,plain,
% 6.21/4.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5)))),
% 6.21/4.46 inference(quant_inst,[status(thm)],[])).
% 6.21/4.46 tff(5094,plain,
% 6.21/4.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5))),
% 6.21/4.46 inference(modus_ponens,[status(thm)],[5093, 5092])).
% 6.21/4.46 tff(5095,plain,
% 6.21/4.46 (v104(constB6) <=> v1(constB5)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5094, 4350, 4623])).
% 6.21/4.46 tff(5096,plain,
% 6.21/4.46 ((~(v104(constB6) <=> v1(constB5))) | (~v104(constB6)) | v1(constB5)),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5097,plain,
% 6.21/4.46 ((~(v104(constB6) <=> v1(constB5))) | (~v104(constB6))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5096, 4389])).
% 6.21/4.46 tff(5098,plain,
% 6.21/4.46 (~v104(constB6)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5097, 5095])).
% 6.21/4.46 tff(5099,plain,
% 6.21/4.46 ((~((~v102(constB6)) <=> v104(constB6))) | v102(constB6) | v104(constB6)),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5100,plain,
% 6.21/4.46 (v102(constB6)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5099, 5098, 5091])).
% 6.21/4.46 tff(5101,plain,
% 6.21/4.46 (v1(constB6) <=> v1(constB6)),
% 6.21/4.46 inference(rewrite,[status(thm)],[])).
% 6.21/4.46 tff(5102,axiom,(v1(constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_6')).
% 6.21/4.46 tff(5103,plain,
% 6.21/4.46 (v1(constB6)),
% 6.21/4.46 inference(modus_ponens,[status(thm)],[5102, 5101])).
% 6.21/4.46 tff(5104,plain,
% 6.21/4.46 ((~((~v1(constB6)) | (~v102(constB6)))) | (~v1(constB6)) | (~v102(constB6))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5105,plain,
% 6.21/4.46 ((~((~v1(constB6)) | (~v102(constB6)))) | (~v102(constB6))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5104, 5103])).
% 6.21/4.46 tff(5106,plain,
% 6.21/4.46 (~((~v1(constB6)) | (~v102(constB6)))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5105, 5100])).
% 6.21/4.46 tff(5107,plain,
% 6.21/4.46 ((~(v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6)))))) | v101(constB6) | ((~v1(constB6)) | (~v102(constB6)))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5108,plain,
% 6.21/4.46 (v101(constB6)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5107, 5106, 5087])).
% 6.21/4.46 tff(5109,plain,
% 6.21/4.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5)))),
% 6.21/4.46 inference(rewrite,[status(thm)],[])).
% 6.21/4.46 tff(5110,plain,
% 6.21/4.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5)))),
% 6.21/4.46 inference(quant_inst,[status(thm)],[])).
% 6.21/4.46 tff(5111,plain,
% 6.21/4.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5))),
% 6.21/4.46 inference(modus_ponens,[status(thm)],[5110, 5109])).
% 6.21/4.46 tff(5112,plain,
% 6.21/4.46 (v110(constB6) <=> v108(constB5)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5111, 4350, 4650])).
% 6.21/4.46 tff(5113,plain,
% 6.21/4.46 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB5) <=> (v111(constB5) | v112(constB5)))),
% 6.21/4.46 inference(quant_inst,[status(thm)],[])).
% 6.21/4.46 tff(5114,plain,
% 6.21/4.46 (v108(constB5) <=> (v111(constB5) | v112(constB5))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5113, 4661])).
% 6.21/4.46 tff(5115,plain,
% 6.21/4.46 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5)))))),
% 6.21/4.46 inference(quant_inst,[status(thm)],[])).
% 6.21/4.46 tff(5116,plain,
% 6.21/4.46 (v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5))))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5115, 4673])).
% 6.21/4.46 tff(5117,plain,
% 6.21/4.46 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB5) <=> (v114(constB5) | v125(constB5)))),
% 6.21/4.46 inference(quant_inst,[status(thm)],[])).
% 6.21/4.46 tff(5118,plain,
% 6.21/4.46 (v113(constB5) <=> (v114(constB5) | v125(constB5))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5117, 4682])).
% 6.21/4.46 tff(5119,plain,
% 6.21/4.46 (^[VarCurr: state_type] : refl((v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))))) <=> (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))))))),
% 6.21/4.46 inference(bind,[status(th)],[])).
% 6.21/4.46 tff(5120,plain,
% 6.21/4.46 (![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))))) <=> ![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))),
% 6.21/4.46 inference(quant_intro,[status(thm)],[5119])).
% 6.21/4.46 tff(5121,plain,
% 6.21/4.46 (^[VarCurr: state_type] : rewrite((v125(VarCurr) <=> (v90(VarCurr, 2) & v90(VarCurr, 1) & (~v90(VarCurr, 0)))) <=> (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))))))),
% 6.21/4.46 inference(bind,[status(th)],[])).
% 6.21/4.46 tff(5122,plain,
% 6.21/4.46 (![VarCurr: state_type] : (v125(VarCurr) <=> (v90(VarCurr, 2) & v90(VarCurr, 1) & (~v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))),
% 6.21/4.46 inference(quant_intro,[status(thm)],[5121])).
% 6.21/4.46 tff(5123,plain,
% 6.21/4.46 (![VarCurr: state_type] : (v125(VarCurr) <=> (v90(VarCurr, 2) & v90(VarCurr, 1) & (~v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v125(VarCurr) <=> (v90(VarCurr, 2) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 6.21/4.46 inference(rewrite,[status(thm)],[])).
% 6.21/4.46 tff(5124,plain,
% 6.21/4.46 (^[VarCurr: state_type] : rewrite((v125(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $false))) <=> (v125(VarCurr) <=> (v90(VarCurr, 2) & v90(VarCurr, 1) & (~v90(VarCurr, 0)))))),
% 6.21/4.46 inference(bind,[status(th)],[])).
% 6.21/4.46 tff(5125,plain,
% 6.21/4.46 (![VarCurr: state_type] : (v125(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v125(VarCurr) <=> (v90(VarCurr, 2) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 6.21/4.46 inference(quant_intro,[status(thm)],[5124])).
% 6.21/4.46 tff(5126,axiom,(![VarCurr: state_type] : (v125(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8')).
% 6.21/4.46 tff(5127,plain,
% 6.21/4.46 (![VarCurr: state_type] : (v125(VarCurr) <=> (v90(VarCurr, 2) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 6.21/4.46 inference(modus_ponens,[status(thm)],[5126, 5125])).
% 6.21/4.46 tff(5128,plain,
% 6.21/4.46 (![VarCurr: state_type] : (v125(VarCurr) <=> (v90(VarCurr, 2) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 6.21/4.46 inference(modus_ponens,[status(thm)],[5127, 5123])).
% 6.21/4.46 tff(5129,plain,(
% 6.21/4.46 ![VarCurr: state_type] : (v125(VarCurr) <=> (v90(VarCurr, 2) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 6.21/4.46 inference(skolemize,[status(sab)],[5128])).
% 6.21/4.46 tff(5130,plain,
% 6.21/4.46 (![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))),
% 6.21/4.46 inference(modus_ponens,[status(thm)],[5129, 5122])).
% 6.21/4.46 tff(5131,plain,
% 6.21/4.46 (![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))),
% 6.21/4.46 inference(modus_ponens,[status(thm)],[5130, 5120])).
% 6.21/4.46 tff(5132,plain,
% 6.21/4.46 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB5) <=> (~(v90(constB5, 0) | (~v90(constB5, 1)) | (~v90(constB5, 2)))))),
% 6.21/4.46 inference(quant_inst,[status(thm)],[])).
% 6.21/4.46 tff(5133,plain,
% 6.21/4.46 (v125(constB5) <=> (~(v90(constB5, 0) | (~v90(constB5, 1)) | (~v90(constB5, 2))))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5132, 5131])).
% 6.21/4.46 tff(5134,plain,
% 6.21/4.46 ((((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0))) | (~((~v90(constB5, 0)) <=> v90(constB4, 0)))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5135,plain,
% 6.21/4.46 (~((~v90(constB5, 0)) <=> v90(constB4, 0))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5134, 4406])).
% 6.21/4.46 tff(5136,plain,
% 6.21/4.46 ((((~v129(constB4, 2)) <=> v127(constB3, 2)) | ((~v129(constB4, 1)) <=> v127(constB3, 1)) | ((~v129(constB4, 0)) <=> v127(constB3, 0))) | (~((~v129(constB4, 0)) <=> v127(constB3, 0)))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5137,plain,
% 6.21/4.46 (~((~v129(constB4, 0)) <=> v127(constB3, 0))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5136, 4415])).
% 6.21/4.46 tff(5138,plain,
% 6.21/4.46 ((((~v127(constB3, 2)) <=> v130(constB3, 2)) | ((~v127(constB3, 1)) <=> v130(constB3, 1)) | ((~v127(constB3, 0)) <=> v130(constB3, 0))) | (~((~v127(constB3, 0)) <=> v130(constB3, 0)))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5139,plain,
% 6.21/4.46 (~((~v127(constB3, 0)) <=> v130(constB3, 0))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5138, 4429])).
% 6.21/4.46 tff(5140,plain,
% 6.21/4.46 ((v130(constB3, 0) | (~v130(constB3, 2)) | (~v130(constB3, 1))) | (~v130(constB3, 0))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5141,plain,
% 6.21/4.46 (~v130(constB3, 0)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5140, 4866])).
% 6.21/4.46 tff(5142,plain,
% 6.21/4.46 (((~v127(constB3, 0)) <=> v130(constB3, 0)) | (~v127(constB3, 0)) | v130(constB3, 0)),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5143,plain,
% 6.21/4.46 (~v127(constB3, 0)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5142, 5141, 5139])).
% 6.21/4.46 tff(5144,plain,
% 6.21/4.46 (((~v129(constB4, 0)) <=> v127(constB3, 0)) | (~v129(constB4, 0)) | v127(constB3, 0)),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5145,plain,
% 6.21/4.46 (~v129(constB4, 0)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5144, 5143, 5137])).
% 6.21/4.46 tff(5146,plain,
% 6.21/4.46 ((((~v90(constB4, 2)) <=> v129(constB4, 2)) | ((~v90(constB4, 1)) <=> v129(constB4, 1)) | ((~v90(constB4, 0)) <=> v129(constB4, 0))) | (~((~v90(constB4, 0)) <=> v129(constB4, 0)))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5147,plain,
% 6.21/4.46 (~((~v90(constB4, 0)) <=> v129(constB4, 0))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5146, 4955])).
% 6.21/4.46 tff(5148,plain,
% 6.21/4.46 (((~v90(constB4, 0)) <=> v129(constB4, 0)) | (~v90(constB4, 0)) | v129(constB4, 0)),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5149,plain,
% 6.21/4.46 (~v90(constB4, 0)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5148, 5147, 5145])).
% 6.21/4.46 tff(5150,plain,
% 6.21/4.46 (((~v90(constB5, 0)) <=> v90(constB4, 0)) | (~v90(constB5, 0)) | v90(constB4, 0)),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5151,plain,
% 6.21/4.46 (~v90(constB5, 0)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5150, 5149, 5135])).
% 6.21/4.46 tff(5152,plain,
% 6.21/4.46 ((~(v90(constB5, 0) | (~v90(constB5, 1)) | (~v90(constB5, 2)))) | v90(constB5, 0) | (~v90(constB5, 1)) | (~v90(constB5, 2))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5153,plain,
% 6.21/4.46 (~(v90(constB5, 0) | (~v90(constB5, 1)) | (~v90(constB5, 2)))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5152, 5003, 5151, 4961])).
% 6.21/4.46 tff(5154,plain,
% 6.21/4.46 ((~(v125(constB5) <=> (~(v90(constB5, 0) | (~v90(constB5, 1)) | (~v90(constB5, 2)))))) | v125(constB5) | (v90(constB5, 0) | (~v90(constB5, 1)) | (~v90(constB5, 2)))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5155,plain,
% 6.21/4.46 (v125(constB5)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5154, 5153, 5133])).
% 6.21/4.46 tff(5156,plain,
% 6.21/4.46 ((v114(constB5) | v125(constB5)) | (~v125(constB5))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5157,plain,
% 6.21/4.46 (v114(constB5) | v125(constB5)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5156, 5155])).
% 6.21/4.46 tff(5158,plain,
% 6.21/4.46 ((~(v113(constB5) <=> (v114(constB5) | v125(constB5)))) | v113(constB5) | (~(v114(constB5) | v125(constB5)))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5159,plain,
% 6.21/4.46 (v113(constB5)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5158, 5157, 5118])).
% 6.21/4.46 tff(5160,plain,
% 6.21/4.46 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB5)) <=> v111(constB5))),
% 6.21/4.46 inference(quant_inst,[status(thm)],[])).
% 6.21/4.46 tff(5161,plain,
% 6.21/4.46 ((~v126(constB5)) <=> v111(constB5)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5160, 4761])).
% 6.21/4.46 tff(5162,plain,
% 6.21/4.46 ((~((~v126(constB5)) <=> v111(constB5))) | v126(constB5) | v111(constB5)),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5163,plain,
% 6.21/4.46 ((~((~v126(constB5)) <=> v111(constB5))) | v126(constB5)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5162, 4363])).
% 6.21/4.46 tff(5164,plain,
% 6.21/4.46 (v126(constB5)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5163, 5161])).
% 6.21/4.46 tff(5165,plain,
% 6.21/4.46 ((~((~v113(constB5)) | (~v126(constB5)))) | (~v113(constB5)) | (~v126(constB5))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5166,plain,
% 6.21/4.46 ((~((~v113(constB5)) | (~v126(constB5)))) | (~v113(constB5))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5165, 5164])).
% 6.21/4.46 tff(5167,plain,
% 6.21/4.46 (~((~v113(constB5)) | (~v126(constB5)))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5166, 5159])).
% 6.21/4.46 tff(5168,plain,
% 6.21/4.46 ((~(v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5)))))) | v112(constB5) | ((~v113(constB5)) | (~v126(constB5)))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5169,plain,
% 6.21/4.46 (v112(constB5)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5168, 5167, 5116])).
% 6.21/4.46 tff(5170,plain,
% 6.21/4.46 ((v111(constB5) | v112(constB5)) | (~v112(constB5))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5171,plain,
% 6.21/4.46 (v111(constB5) | v112(constB5)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5170, 5169])).
% 6.21/4.46 tff(5172,plain,
% 6.21/4.46 ((~(v108(constB5) <=> (v111(constB5) | v112(constB5)))) | v108(constB5) | (~(v111(constB5) | v112(constB5)))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5173,plain,
% 6.21/4.46 (v108(constB5)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5172, 5171, 5114])).
% 6.21/4.46 tff(5174,plain,
% 6.21/4.46 ((~(v110(constB6) <=> v108(constB5))) | v110(constB6) | (~v108(constB5))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5175,plain,
% 6.21/4.46 (v110(constB6)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5174, 5173, 5112])).
% 6.21/4.46 tff(5176,plain,
% 6.21/4.46 ((~((~v101(constB6)) | (~v110(constB6)))) | (~v101(constB6)) | (~v110(constB6))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5177,plain,
% 6.21/4.46 (~((~v101(constB6)) | (~v110(constB6)))),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5176, 5175, 5108])).
% 6.21/4.46 tff(5178,plain,
% 6.21/4.46 ((~(v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6)))))) | v100(constB6) | ((~v101(constB6)) | (~v110(constB6)))),
% 6.21/4.46 inference(tautology,[status(thm)],[])).
% 6.21/4.46 tff(5179,plain,
% 6.21/4.46 (v100(constB6)),
% 6.21/4.46 inference(unit_resolution,[status(thm)],[5178, 5177, 5080])).
% 6.21/4.46 tff(5180,plain,
% 6.21/4.46 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB6)) | (~(((~v90(constB6, 0)) <=> v129(constB6, 0)) | ((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB6)) | (~(((~v90(constB6, 0)) <=> v129(constB6, 0)) | ((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1)))))),
% 6.28/4.46 inference(rewrite,[status(thm)],[])).
% 6.28/4.46 tff(5181,plain,
% 6.28/4.46 (((~v100(constB6)) | (~(((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1)) | ((~v90(constB6, 0)) <=> v129(constB6, 0))))) <=> ((~v100(constB6)) | (~(((~v90(constB6, 0)) <=> v129(constB6, 0)) | ((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1)))))),
% 6.28/4.46 inference(rewrite,[status(thm)],[])).
% 6.28/4.46 tff(5182,plain,
% 6.28/4.46 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB6)) | (~(((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1)) | ((~v90(constB6, 0)) <=> v129(constB6, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB6)) | (~(((~v90(constB6, 0)) <=> v129(constB6, 0)) | ((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1))))))),
% 6.28/4.46 inference(monotonicity,[status(thm)],[5181])).
% 6.28/4.46 tff(5183,plain,
% 6.28/4.46 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB6)) | (~(((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1)) | ((~v90(constB6, 0)) <=> v129(constB6, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB6)) | (~(((~v90(constB6, 0)) <=> v129(constB6, 0)) | ((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1)))))),
% 6.28/4.46 inference(transitivity,[status(thm)],[5182, 5180])).
% 6.28/4.46 tff(5184,plain,
% 6.28/4.46 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB6)) | (~(((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1)) | ((~v90(constB6, 0)) <=> v129(constB6, 0)))))),
% 6.28/4.46 inference(quant_inst,[status(thm)],[])).
% 6.28/4.46 tff(5185,plain,
% 6.28/4.46 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB6)) | (~(((~v90(constB6, 0)) <=> v129(constB6, 0)) | ((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1))))),
% 6.28/4.46 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 6.28/4.46 tff(5186,plain,
% 6.28/4.46 ((~v100(constB6)) | (~(((~v90(constB6, 0)) <=> v129(constB6, 0)) | ((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1))))),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5185, 4794])).
% 6.28/4.46 tff(5187,plain,
% 6.28/4.46 (~(((~v90(constB6, 0)) <=> v129(constB6, 0)) | ((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1)))),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5186, 5179])).
% 6.28/4.46 tff(5188,plain,
% 6.28/4.46 ((((~v90(constB6, 0)) <=> v129(constB6, 0)) | ((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1))) | (~((~v90(constB6, 2)) <=> v129(constB6, 2)))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5189,plain,
% 6.28/4.46 (~((~v90(constB6, 2)) <=> v129(constB6, 2))),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5188, 5187])).
% 6.28/4.46 tff(5190,plain,
% 6.28/4.46 (((~v90(constB6, 2)) <=> v129(constB6, 2)) | (~v90(constB6, 2)) | v129(constB6, 2)),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5191,plain,
% 6.28/4.46 (~v90(constB6, 2)),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5190, 5189, 5076])).
% 6.28/4.46 tff(5192,plain,
% 6.28/4.46 (((~v90(constB7, 2)) <=> v90(constB6, 2)) | (~v90(constB7, 2)) | v90(constB6, 2)),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5193,plain,
% 6.28/4.46 (~v90(constB7, 2)),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5192, 5191, 4347])).
% 6.28/4.46 tff(5194,plain,
% 6.28/4.46 ((((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0))) | (~((~v90(constB7, 0)) <=> v90(constB6, 0)))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5195,plain,
% 6.28/4.46 (~((~v90(constB7, 0)) <=> v90(constB6, 0))),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5194, 4345])).
% 6.28/4.46 tff(5196,plain,
% 6.28/4.46 ((((~v129(constB6, 2)) <=> v127(constB5, 2)) | ((~v129(constB6, 1)) <=> v127(constB5, 1)) | ((~v129(constB6, 0)) <=> v127(constB5, 0))) | (~((~v129(constB6, 0)) <=> v127(constB5, 0)))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5197,plain,
% 6.28/4.46 (~((~v129(constB6, 0)) <=> v127(constB5, 0))),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5196, 4354])).
% 6.28/4.46 tff(5198,plain,
% 6.28/4.46 ((((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0))) | (~((~v127(constB5, 0)) <=> v130(constB5, 0)))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5199,plain,
% 6.28/4.46 (~((~v127(constB5, 0)) <=> v130(constB5, 0))),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5198, 4368])).
% 6.28/4.46 tff(5200,plain,
% 6.28/4.46 ((v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0))) | v130(constB5, 0)),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5201,plain,
% 6.28/4.46 (v130(constB5, 0)),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5200, 5070])).
% 6.28/4.46 tff(5202,plain,
% 6.28/4.46 (((~v127(constB5, 0)) <=> v130(constB5, 0)) | v127(constB5, 0) | (~v130(constB5, 0))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5203,plain,
% 6.28/4.46 (v127(constB5, 0)),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5202, 5201, 5199])).
% 6.28/4.46 tff(5204,plain,
% 6.28/4.46 (((~v129(constB6, 0)) <=> v127(constB5, 0)) | v129(constB6, 0) | (~v127(constB5, 0))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5205,plain,
% 6.28/4.46 (v129(constB6, 0)),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5204, 5203, 5197])).
% 6.28/4.46 tff(5206,plain,
% 6.28/4.46 ((((~v90(constB6, 0)) <=> v129(constB6, 0)) | ((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1))) | (~((~v90(constB6, 0)) <=> v129(constB6, 0)))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5207,plain,
% 6.28/4.46 (~((~v90(constB6, 0)) <=> v129(constB6, 0))),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5206, 5187])).
% 6.28/4.46 tff(5208,plain,
% 6.28/4.46 (((~v90(constB6, 0)) <=> v129(constB6, 0)) | v90(constB6, 0) | (~v129(constB6, 0))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5209,plain,
% 6.28/4.46 (v90(constB6, 0)),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5208, 5207, 5205])).
% 6.28/4.46 tff(5210,plain,
% 6.28/4.46 (((~v90(constB7, 0)) <=> v90(constB6, 0)) | v90(constB7, 0) | (~v90(constB6, 0))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5211,plain,
% 6.28/4.46 (v90(constB7, 0)),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5210, 5209, 5195])).
% 6.28/4.46 tff(5212,plain,
% 6.28/4.46 ((((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0))) | (~((~v90(constB7, 1)) <=> v90(constB6, 1)))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5213,plain,
% 6.28/4.46 (~((~v90(constB7, 1)) <=> v90(constB6, 1))),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5212, 4345])).
% 6.28/4.46 tff(5214,plain,
% 6.28/4.46 ((((~v129(constB6, 2)) <=> v127(constB5, 2)) | ((~v129(constB6, 1)) <=> v127(constB5, 1)) | ((~v129(constB6, 0)) <=> v127(constB5, 0))) | (~((~v129(constB6, 1)) <=> v127(constB5, 1)))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5215,plain,
% 6.28/4.46 (~((~v129(constB6, 1)) <=> v127(constB5, 1))),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5214, 4354])).
% 6.28/4.46 tff(5216,plain,
% 6.28/4.46 ((((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0))) | (~((~v127(constB5, 1)) <=> v130(constB5, 1)))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5217,plain,
% 6.28/4.46 (~((~v127(constB5, 1)) <=> v130(constB5, 1))),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5216, 4368])).
% 6.28/4.46 tff(5218,plain,
% 6.28/4.46 ((v130(constB5, 2) | v130(constB5, 1) | (~v130(constB5, 0))) | (~v130(constB5, 1))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5219,plain,
% 6.28/4.46 (~v130(constB5, 1)),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5218, 5070])).
% 6.28/4.46 tff(5220,plain,
% 6.28/4.46 (((~v127(constB5, 1)) <=> v130(constB5, 1)) | (~v127(constB5, 1)) | v130(constB5, 1)),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5221,plain,
% 6.28/4.46 (~v127(constB5, 1)),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5220, 5219, 5217])).
% 6.28/4.46 tff(5222,plain,
% 6.28/4.46 (((~v129(constB6, 1)) <=> v127(constB5, 1)) | (~v129(constB6, 1)) | v127(constB5, 1)),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5223,plain,
% 6.28/4.46 (~v129(constB6, 1)),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5222, 5221, 5215])).
% 6.28/4.46 tff(5224,plain,
% 6.28/4.46 ((((~v90(constB6, 0)) <=> v129(constB6, 0)) | ((~v90(constB6, 2)) <=> v129(constB6, 2)) | ((~v90(constB6, 1)) <=> v129(constB6, 1))) | (~((~v90(constB6, 1)) <=> v129(constB6, 1)))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5225,plain,
% 6.28/4.46 (~((~v90(constB6, 1)) <=> v129(constB6, 1))),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5224, 5187])).
% 6.28/4.46 tff(5226,plain,
% 6.28/4.46 (((~v90(constB6, 1)) <=> v129(constB6, 1)) | (~v90(constB6, 1)) | v129(constB6, 1)),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5227,plain,
% 6.28/4.46 (~v90(constB6, 1)),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5226, 5225, 5223])).
% 6.28/4.46 tff(5228,plain,
% 6.28/4.46 (((~v90(constB7, 1)) <=> v90(constB6, 1)) | (~v90(constB7, 1)) | v90(constB6, 1)),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5229,plain,
% 6.28/4.46 (~v90(constB7, 1)),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5228, 5227, 5213])).
% 6.28/4.46 tff(5230,plain,
% 6.28/4.46 ((~(v90(constB7, 1) | v90(constB7, 2) | (~v90(constB7, 0)))) | v90(constB7, 1) | v90(constB7, 2) | (~v90(constB7, 0))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5231,plain,
% 6.28/4.46 (~(v90(constB7, 1) | v90(constB7, 2) | (~v90(constB7, 0)))),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5230, 5229, 5211, 5193])).
% 6.28/4.46 tff(5232,plain,
% 6.28/4.46 ((~(v120(constB7) <=> (~(v90(constB7, 1) | v90(constB7, 2) | (~v90(constB7, 0)))))) | v120(constB7) | (v90(constB7, 1) | v90(constB7, 2) | (~v90(constB7, 0)))),
% 6.28/4.46 inference(tautology,[status(thm)],[])).
% 6.28/4.46 tff(5233,plain,
% 6.28/4.46 (v120(constB7)),
% 6.28/4.46 inference(unit_resolution,[status(thm)],[5232, 5231, 4311])).
% 6.28/4.46 tff(5234,plain,
% 6.28/4.46 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1))))) <=> ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1))))))),
% 6.28/4.46 inference(bind,[status(th)],[])).
% 6.28/4.46 tff(5235,plain,
% 6.28/4.46 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1))))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))),
% 6.28/4.46 inference(quant_intro,[status(thm)],[5234])).
% 6.28/4.46 tff(5236,plain,
% 6.28/4.46 (^[VarCurr: state_type] : rewrite(((~v120(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & (~v130(VarCurr, 0)))) <=> ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1))))))),
% 6.28/4.46 inference(bind,[status(th)],[])).
% 6.28/4.46 tff(5237,plain,
% 6.28/4.46 (![VarCurr: state_type] : ((~v120(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & (~v130(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))),
% 6.28/4.46 inference(quant_intro,[status(thm)],[5236])).
% 6.28/4.46 tff(5238,plain,
% 6.28/4.46 (![VarCurr: state_type] : ((~v120(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & (~v130(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))),
% 6.28/4.46 inference(rewrite,[status(thm)],[])).
% 6.28/4.46 tff(5239,plain,
% 6.28/4.46 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $true)) <=> ((~v130(VarCurr, 2)) & v130(VarCurr, 1))), rewrite((v130(VarCurr, 0) <=> $false) <=> (~v130(VarCurr, 0))), ((((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $false)) <=> (((~v130(VarCurr, 2)) & v130(VarCurr, 1)) & (~v130(VarCurr, 0))))), rewrite((((~v130(VarCurr, 2)) & v130(VarCurr, 1)) & (~v130(VarCurr, 0))) <=> ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & (~v130(VarCurr, 0)))), ((((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $false)) <=> ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))), ((v120(VarCurr) => (((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $false))) <=> (v120(VarCurr) => ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & (~v130(VarCurr, 0)))))), rewrite((v120(VarCurr) => ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & (~v130(VarCurr, 0)))) <=> ((~v120(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))), ((v120(VarCurr) => (((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $false))) <=> ((~v120(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))))),
% 6.28/4.46 inference(bind,[status(th)],[])).
% 6.28/4.46 tff(5240,plain,
% 6.28/4.46 (![VarCurr: state_type] : (v120(VarCurr) => (((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))),
% 6.28/4.46 inference(quant_intro,[status(thm)],[5239])).
% 6.28/4.46 tff(5241,axiom,(![VarCurr: state_type] : (v120(VarCurr) => (((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1')).
% 6.28/4.46 tff(5242,plain,
% 6.28/4.46 (![VarCurr: state_type] : ((~v120(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))),
% 6.28/4.46 inference(modus_ponens,[status(thm)],[5241, 5240])).
% 6.28/4.46 tff(5243,plain,
% 6.28/4.46 (![VarCurr: state_type] : ((~v120(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))),
% 6.28/4.46 inference(modus_ponens,[status(thm)],[5242, 5238])).
% 6.28/4.46 tff(5244,plain,(
% 6.28/4.46 ![VarCurr: state_type] : ((~v120(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & (~v130(VarCurr, 0))))),
% 6.28/4.46 inference(skolemize,[status(sab)],[5243])).
% 6.28/4.46 tff(5245,plain,
% 6.28/4.46 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))),
% 6.28/4.46 inference(modus_ponens,[status(thm)],[5244, 5237])).
% 6.28/4.46 tff(5246,plain,
% 6.28/4.46 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))),
% 6.28/4.46 inference(modus_ponens,[status(thm)],[5245, 5235])).
% 6.28/4.46 tff(5247,plain,
% 6.28/4.46 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB7)) | (~(v130(constB7, 2) | v130(constB7, 0) | (~v130(constB7, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB7)) | (~(v130(constB7, 2) | v130(constB7, 0) | (~v130(constB7, 1)))))),
% 6.28/4.46 inference(rewrite,[status(thm)],[])).
% 6.28/4.46 tff(5248,plain,
% 6.28/4.46 (((~v120(constB7)) | (~(v130(constB7, 0) | v130(constB7, 2) | (~v130(constB7, 1))))) <=> ((~v120(constB7)) | (~(v130(constB7, 2) | v130(constB7, 0) | (~v130(constB7, 1)))))),
% 6.28/4.46 inference(rewrite,[status(thm)],[])).
% 6.28/4.46 tff(5249,plain,
% 6.28/4.46 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB7)) | (~(v130(constB7, 0) | v130(constB7, 2) | (~v130(constB7, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB7)) | (~(v130(constB7, 2) | v130(constB7, 0) | (~v130(constB7, 1))))))),
% 6.28/4.46 inference(monotonicity,[status(thm)],[5248])).
% 6.28/4.46 tff(5250,plain,
% 6.28/4.46 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB7)) | (~(v130(constB7, 0) | v130(constB7, 2) | (~v130(constB7, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB7)) | (~(v130(constB7, 2) | v130(constB7, 0) | (~v130(constB7, 1)))))),
% 6.28/4.46 inference(transitivity,[status(thm)],[5249, 5247])).
% 6.28/4.47 tff(5251,plain,
% 6.28/4.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB7)) | (~(v130(constB7, 0) | v130(constB7, 2) | (~v130(constB7, 1)))))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5252,plain,
% 6.28/4.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB7)) | (~(v130(constB7, 2) | v130(constB7, 0) | (~v130(constB7, 1))))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5251, 5250])).
% 6.28/4.47 tff(5253,plain,
% 6.28/4.47 ((~v120(constB7)) | (~(v130(constB7, 2) | v130(constB7, 0) | (~v130(constB7, 1))))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5252, 5246])).
% 6.28/4.47 tff(5254,plain,
% 6.28/4.47 (~(v130(constB7, 2) | v130(constB7, 0) | (~v130(constB7, 1)))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5253, 5233])).
% 6.28/4.47 tff(5255,plain,
% 6.28/4.47 ((v130(constB7, 2) | v130(constB7, 0) | (~v130(constB7, 1))) | (~v130(constB7, 2))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5256,plain,
% 6.28/4.47 (~v130(constB7, 2)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5255, 5254])).
% 6.28/4.47 tff(5257,plain,
% 6.28/4.47 (((~v127(constB7, 2)) <=> v130(constB7, 2)) | (~v127(constB7, 2)) | v130(constB7, 2)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5258,plain,
% 6.28/4.47 (~v127(constB7, 2)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5257, 5256, 4309])).
% 6.28/4.47 tff(5259,plain,
% 6.28/4.47 (((~v129(constB8, 2)) <=> v127(constB7, 2)) | (~v129(constB8, 2)) | v127(constB7, 2)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5260,plain,
% 6.28/4.47 (~v129(constB8, 2)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5259, 5258, 4295])).
% 6.28/4.47 tff(5261,plain,
% 6.28/4.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5262,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5263,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8)))))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5262, 5261])).
% 6.28/4.47 tff(5264,plain,
% 6.28/4.47 (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5263, 4289, 273])).
% 6.28/4.47 tff(5265,plain,
% 6.28/4.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5266,plain,
% 6.28/4.47 (((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8)))))) <=> ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5267,plain,
% 6.28/4.47 (((~![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) <=> (~((~v1(constB8)) | (~v102(constB8)))))))),
% 6.28/4.47 inference(monotonicity,[status(thm)],[5266])).
% 6.28/4.47 tff(5268,plain,
% 6.28/4.47 (((~![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) <=> (~((~v1(constB8)) | (~v102(constB8))))))),
% 6.28/4.47 inference(transitivity,[status(thm)],[5267, 5265])).
% 6.28/4.47 tff(5269,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8))))))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5270,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8)))))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5269, 5268])).
% 6.28/4.47 tff(5271,plain,
% 6.28/4.47 (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5270, 4289, 293])).
% 6.28/4.47 tff(5272,plain,
% 6.28/4.47 (((~![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)))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5273,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8)))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5274,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5273, 5272])).
% 6.28/4.47 tff(5275,plain,
% 6.28/4.47 ((~v102(constB8)) <=> v104(constB8)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5274, 4289, 4609])).
% 6.28/4.47 tff(5276,plain,
% 6.28/4.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7)))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5277,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7)))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5278,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5277, 5276])).
% 6.28/4.47 tff(5279,plain,
% 6.28/4.47 (v104(constB8) <=> v1(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5278, 4289, 4623])).
% 6.28/4.47 tff(5280,plain,
% 6.28/4.47 ((~(v104(constB8) <=> v1(constB7))) | (~v104(constB8)) | v1(constB7)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5281,plain,
% 6.28/4.47 ((~(v104(constB8) <=> v1(constB7))) | (~v104(constB8))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5280, 4328])).
% 6.28/4.47 tff(5282,plain,
% 6.28/4.47 (~v104(constB8)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5281, 5279])).
% 6.28/4.47 tff(5283,plain,
% 6.28/4.47 ((~((~v102(constB8)) <=> v104(constB8))) | v102(constB8) | v104(constB8)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5284,plain,
% 6.28/4.47 (v102(constB8)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5283, 5282, 5275])).
% 6.28/4.47 tff(5285,plain,
% 6.28/4.47 (v1(constB8) <=> v1(constB8)),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5286,axiom,(v1(constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_8')).
% 6.28/4.47 tff(5287,plain,
% 6.28/4.47 (v1(constB8)),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5286, 5285])).
% 6.28/4.47 tff(5288,plain,
% 6.28/4.47 ((~((~v1(constB8)) | (~v102(constB8)))) | (~v1(constB8)) | (~v102(constB8))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5289,plain,
% 6.28/4.47 ((~((~v1(constB8)) | (~v102(constB8)))) | (~v102(constB8))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5288, 5287])).
% 6.28/4.47 tff(5290,plain,
% 6.28/4.47 (~((~v1(constB8)) | (~v102(constB8)))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5289, 5284])).
% 6.28/4.47 tff(5291,plain,
% 6.28/4.47 ((~(v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8)))))) | v101(constB8) | ((~v1(constB8)) | (~v102(constB8)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5292,plain,
% 6.28/4.47 (v101(constB8)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5291, 5290, 5271])).
% 6.28/4.47 tff(5293,plain,
% 6.28/4.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7)))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5294,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7)))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5295,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5294, 5293])).
% 6.28/4.47 tff(5296,plain,
% 6.28/4.47 (v110(constB8) <=> v108(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5295, 4289, 4650])).
% 6.28/4.47 tff(5297,plain,
% 6.28/4.47 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB7) <=> (v111(constB7) | v112(constB7)))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5298,plain,
% 6.28/4.47 (v108(constB7) <=> (v111(constB7) | v112(constB7))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5297, 4661])).
% 6.28/4.47 tff(5299,plain,
% 6.28/4.47 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7)))))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5300,plain,
% 6.28/4.47 (v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7))))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5299, 4673])).
% 6.28/4.47 tff(5301,plain,
% 6.28/4.47 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB7) <=> (v114(constB7) | v125(constB7)))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5302,plain,
% 6.28/4.47 (v113(constB7) <=> (v114(constB7) | v125(constB7))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5301, 4682])).
% 6.28/4.47 tff(5303,plain,
% 6.28/4.47 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB7) <=> (v115(constB7) | v124(constB7)))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5304,plain,
% 6.28/4.47 (v114(constB7) <=> (v115(constB7) | v124(constB7))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5303, 4691])).
% 6.28/4.47 tff(5305,plain,
% 6.28/4.47 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB7) <=> (v116(constB7) | v123(constB7)))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5306,plain,
% 6.28/4.47 (v115(constB7) <=> (v116(constB7) | v123(constB7))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5305, 4700])).
% 6.28/4.47 tff(5307,plain,
% 6.28/4.47 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB7) <=> (v117(constB7) | v122(constB7)))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5308,plain,
% 6.28/4.47 (v116(constB7) <=> (v117(constB7) | v122(constB7))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5307, 4709])).
% 6.28/4.47 tff(5309,plain,
% 6.28/4.47 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB7) <=> (v118(constB7) | v121(constB7)))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5310,plain,
% 6.28/4.47 (v117(constB7) <=> (v118(constB7) | v121(constB7))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5309, 4718])).
% 6.28/4.47 tff(5311,plain,
% 6.28/4.47 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB7) <=> (v119(constB7) | v120(constB7)))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5312,plain,
% 6.28/4.47 (v118(constB7) <=> (v119(constB7) | v120(constB7))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5311, 4727])).
% 6.28/4.47 tff(5313,plain,
% 6.28/4.47 ((v119(constB7) | v120(constB7)) | (~v120(constB7))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5314,plain,
% 6.28/4.47 (v119(constB7) | v120(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5313, 5233])).
% 6.28/4.47 tff(5315,plain,
% 6.28/4.47 ((~(v118(constB7) <=> (v119(constB7) | v120(constB7)))) | v118(constB7) | (~(v119(constB7) | v120(constB7)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5316,plain,
% 6.28/4.47 (v118(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5315, 5314, 5312])).
% 6.28/4.47 tff(5317,plain,
% 6.28/4.47 ((v118(constB7) | v121(constB7)) | (~v118(constB7))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5318,plain,
% 6.28/4.47 (v118(constB7) | v121(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5317, 5316])).
% 6.28/4.47 tff(5319,plain,
% 6.28/4.47 ((~(v117(constB7) <=> (v118(constB7) | v121(constB7)))) | v117(constB7) | (~(v118(constB7) | v121(constB7)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5320,plain,
% 6.28/4.47 (v117(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5319, 5318, 5310])).
% 6.28/4.47 tff(5321,plain,
% 6.28/4.47 ((v117(constB7) | v122(constB7)) | (~v117(constB7))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5322,plain,
% 6.28/4.47 (v117(constB7) | v122(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5321, 5320])).
% 6.28/4.47 tff(5323,plain,
% 6.28/4.47 ((~(v116(constB7) <=> (v117(constB7) | v122(constB7)))) | v116(constB7) | (~(v117(constB7) | v122(constB7)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5324,plain,
% 6.28/4.47 (v116(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5323, 5322, 5308])).
% 6.28/4.47 tff(5325,plain,
% 6.28/4.47 ((v116(constB7) | v123(constB7)) | (~v116(constB7))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5326,plain,
% 6.28/4.47 (v116(constB7) | v123(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5325, 5324])).
% 6.28/4.47 tff(5327,plain,
% 6.28/4.47 ((~(v115(constB7) <=> (v116(constB7) | v123(constB7)))) | v115(constB7) | (~(v116(constB7) | v123(constB7)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5328,plain,
% 6.28/4.47 (v115(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5327, 5326, 5306])).
% 6.28/4.47 tff(5329,plain,
% 6.28/4.47 ((v115(constB7) | v124(constB7)) | (~v115(constB7))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5330,plain,
% 6.28/4.47 (v115(constB7) | v124(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5329, 5328])).
% 6.28/4.47 tff(5331,plain,
% 6.28/4.47 ((~(v114(constB7) <=> (v115(constB7) | v124(constB7)))) | v114(constB7) | (~(v115(constB7) | v124(constB7)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5332,plain,
% 6.28/4.47 (v114(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5331, 5330, 5304])).
% 6.28/4.47 tff(5333,plain,
% 6.28/4.47 ((v114(constB7) | v125(constB7)) | (~v114(constB7))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5334,plain,
% 6.28/4.47 (v114(constB7) | v125(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5333, 5332])).
% 6.28/4.47 tff(5335,plain,
% 6.28/4.47 ((~(v113(constB7) <=> (v114(constB7) | v125(constB7)))) | v113(constB7) | (~(v114(constB7) | v125(constB7)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5336,plain,
% 6.28/4.47 (v113(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5335, 5334, 5302])).
% 6.28/4.47 tff(5337,plain,
% 6.28/4.47 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB7)) <=> v111(constB7))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5338,plain,
% 6.28/4.47 ((~v126(constB7)) <=> v111(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5337, 4761])).
% 6.28/4.47 tff(5339,plain,
% 6.28/4.47 ((~((~v126(constB7)) <=> v111(constB7))) | v126(constB7) | v111(constB7)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5340,plain,
% 6.28/4.47 ((~((~v126(constB7)) <=> v111(constB7))) | v126(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5339, 4302])).
% 6.28/4.47 tff(5341,plain,
% 6.28/4.47 (v126(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5340, 5338])).
% 6.28/4.47 tff(5342,plain,
% 6.28/4.47 ((~((~v113(constB7)) | (~v126(constB7)))) | (~v113(constB7)) | (~v126(constB7))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5343,plain,
% 6.28/4.47 ((~((~v113(constB7)) | (~v126(constB7)))) | (~v113(constB7))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5342, 5341])).
% 6.28/4.47 tff(5344,plain,
% 6.28/4.47 (~((~v113(constB7)) | (~v126(constB7)))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5343, 5336])).
% 6.28/4.47 tff(5345,plain,
% 6.28/4.47 ((~(v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7)))))) | v112(constB7) | ((~v113(constB7)) | (~v126(constB7)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5346,plain,
% 6.28/4.47 (v112(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5345, 5344, 5300])).
% 6.28/4.47 tff(5347,plain,
% 6.28/4.47 ((v111(constB7) | v112(constB7)) | (~v112(constB7))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5348,plain,
% 6.28/4.47 (v111(constB7) | v112(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5347, 5346])).
% 6.28/4.47 tff(5349,plain,
% 6.28/4.47 ((~(v108(constB7) <=> (v111(constB7) | v112(constB7)))) | v108(constB7) | (~(v111(constB7) | v112(constB7)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5350,plain,
% 6.28/4.47 (v108(constB7)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5349, 5348, 5298])).
% 6.28/4.47 tff(5351,plain,
% 6.28/4.47 ((~(v110(constB8) <=> v108(constB7))) | v110(constB8) | (~v108(constB7))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5352,plain,
% 6.28/4.47 (v110(constB8)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5351, 5350, 5296])).
% 6.28/4.47 tff(5353,plain,
% 6.28/4.47 ((~((~v101(constB8)) | (~v110(constB8)))) | (~v101(constB8)) | (~v110(constB8))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5354,plain,
% 6.28/4.47 (~((~v101(constB8)) | (~v110(constB8)))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5353, 5352, 5292])).
% 6.28/4.47 tff(5355,plain,
% 6.28/4.47 ((~(v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8)))))) | v100(constB8) | ((~v101(constB8)) | (~v110(constB8)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5356,plain,
% 6.28/4.47 (v100(constB8)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5355, 5354, 5264])).
% 6.28/4.47 tff(5357,plain,
% 6.28/4.47 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB8)) | (~(((~v90(constB8, 2)) <=> v129(constB8, 2)) | ((~v90(constB8, 1)) <=> v129(constB8, 1)) | ((~v90(constB8, 0)) <=> v129(constB8, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB8)) | (~(((~v90(constB8, 2)) <=> v129(constB8, 2)) | ((~v90(constB8, 1)) <=> v129(constB8, 1)) | ((~v90(constB8, 0)) <=> v129(constB8, 0)))))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5358,plain,
% 6.28/4.47 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB8)) | (~(((~v90(constB8, 2)) <=> v129(constB8, 2)) | ((~v90(constB8, 1)) <=> v129(constB8, 1)) | ((~v90(constB8, 0)) <=> v129(constB8, 0)))))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5359,plain,
% 6.28/4.47 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB8)) | (~(((~v90(constB8, 2)) <=> v129(constB8, 2)) | ((~v90(constB8, 1)) <=> v129(constB8, 1)) | ((~v90(constB8, 0)) <=> v129(constB8, 0))))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5358, 5357])).
% 6.28/4.47 tff(5360,plain,
% 6.28/4.47 ((~v100(constB8)) | (~(((~v90(constB8, 2)) <=> v129(constB8, 2)) | ((~v90(constB8, 1)) <=> v129(constB8, 1)) | ((~v90(constB8, 0)) <=> v129(constB8, 0))))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5359, 4794])).
% 6.28/4.47 tff(5361,plain,
% 6.28/4.47 (~(((~v90(constB8, 2)) <=> v129(constB8, 2)) | ((~v90(constB8, 1)) <=> v129(constB8, 1)) | ((~v90(constB8, 0)) <=> v129(constB8, 0)))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5360, 5356])).
% 6.28/4.47 tff(5362,plain,
% 6.28/4.47 ((((~v90(constB8, 2)) <=> v129(constB8, 2)) | ((~v90(constB8, 1)) <=> v129(constB8, 1)) | ((~v90(constB8, 0)) <=> v129(constB8, 0))) | (~((~v90(constB8, 2)) <=> v129(constB8, 2)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5363,plain,
% 6.28/4.47 (~((~v90(constB8, 2)) <=> v129(constB8, 2))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5362, 5361])).
% 6.28/4.47 tff(5364,plain,
% 6.28/4.47 (((~v90(constB8, 2)) <=> v129(constB8, 2)) | (~v90(constB8, 2)) | v129(constB8, 2)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5365,plain,
% 6.28/4.47 (~v90(constB8, 2)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5364, 5363, 5260])).
% 6.28/4.47 tff(5366,plain,
% 6.28/4.47 (((~v90(constB9, 2)) <=> v90(constB8, 2)) | (~v90(constB9, 2)) | v90(constB8, 2)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5367,plain,
% 6.28/4.47 (~v90(constB9, 2)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5366, 5365, 4286])).
% 6.28/4.47 tff(5368,plain,
% 6.28/4.47 ((((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0))) | (~((~v90(constB9, 0)) <=> v90(constB8, 0)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5369,plain,
% 6.28/4.47 (~((~v90(constB9, 0)) <=> v90(constB8, 0))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5368, 4284])).
% 6.28/4.47 tff(5370,plain,
% 6.28/4.47 ((((~v129(constB8, 2)) <=> v127(constB7, 2)) | ((~v129(constB8, 1)) <=> v127(constB7, 1)) | ((~v129(constB8, 0)) <=> v127(constB7, 0))) | (~((~v129(constB8, 0)) <=> v127(constB7, 0)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5371,plain,
% 6.28/4.47 (~((~v129(constB8, 0)) <=> v127(constB7, 0))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5370, 4293])).
% 6.28/4.47 tff(5372,plain,
% 6.28/4.47 ((((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0))) | (~((~v127(constB7, 0)) <=> v130(constB7, 0)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5373,plain,
% 6.28/4.47 (~((~v127(constB7, 0)) <=> v130(constB7, 0))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5372, 4307])).
% 6.28/4.47 tff(5374,plain,
% 6.28/4.47 ((v130(constB7, 2) | v130(constB7, 0) | (~v130(constB7, 1))) | (~v130(constB7, 0))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5375,plain,
% 6.28/4.47 (~v130(constB7, 0)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5374, 5254])).
% 6.28/4.47 tff(5376,plain,
% 6.28/4.47 (((~v127(constB7, 0)) <=> v130(constB7, 0)) | (~v127(constB7, 0)) | v130(constB7, 0)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5377,plain,
% 6.28/4.47 (~v127(constB7, 0)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5376, 5375, 5373])).
% 6.28/4.47 tff(5378,plain,
% 6.28/4.47 (((~v129(constB8, 0)) <=> v127(constB7, 0)) | (~v129(constB8, 0)) | v127(constB7, 0)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5379,plain,
% 6.28/4.47 (~v129(constB8, 0)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5378, 5377, 5371])).
% 6.28/4.47 tff(5380,plain,
% 6.28/4.47 ((((~v90(constB8, 2)) <=> v129(constB8, 2)) | ((~v90(constB8, 1)) <=> v129(constB8, 1)) | ((~v90(constB8, 0)) <=> v129(constB8, 0))) | (~((~v90(constB8, 0)) <=> v129(constB8, 0)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5381,plain,
% 6.28/4.47 (~((~v90(constB8, 0)) <=> v129(constB8, 0))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5380, 5361])).
% 6.28/4.47 tff(5382,plain,
% 6.28/4.47 (((~v90(constB8, 0)) <=> v129(constB8, 0)) | (~v90(constB8, 0)) | v129(constB8, 0)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5383,plain,
% 6.28/4.47 (~v90(constB8, 0)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5382, 5381, 5379])).
% 6.28/4.47 tff(5384,plain,
% 6.28/4.47 (((~v90(constB9, 0)) <=> v90(constB8, 0)) | (~v90(constB9, 0)) | v90(constB8, 0)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5385,plain,
% 6.28/4.47 (~v90(constB9, 0)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5384, 5383, 5369])).
% 6.28/4.47 tff(5386,plain,
% 6.28/4.47 ((((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0))) | (~((~v90(constB9, 1)) <=> v90(constB8, 1)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5387,plain,
% 6.28/4.47 (~((~v90(constB9, 1)) <=> v90(constB8, 1))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5386, 4284])).
% 6.28/4.47 tff(5388,plain,
% 6.28/4.47 ((((~v129(constB8, 2)) <=> v127(constB7, 2)) | ((~v129(constB8, 1)) <=> v127(constB7, 1)) | ((~v129(constB8, 0)) <=> v127(constB7, 0))) | (~((~v129(constB8, 1)) <=> v127(constB7, 1)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5389,plain,
% 6.28/4.47 (~((~v129(constB8, 1)) <=> v127(constB7, 1))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5388, 4293])).
% 6.28/4.47 tff(5390,plain,
% 6.28/4.47 ((((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0))) | (~((~v127(constB7, 1)) <=> v130(constB7, 1)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5391,plain,
% 6.28/4.47 (~((~v127(constB7, 1)) <=> v130(constB7, 1))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5390, 4307])).
% 6.28/4.47 tff(5392,plain,
% 6.28/4.47 ((v130(constB7, 2) | v130(constB7, 0) | (~v130(constB7, 1))) | v130(constB7, 1)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5393,plain,
% 6.28/4.47 (v130(constB7, 1)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5392, 5254])).
% 6.28/4.47 tff(5394,plain,
% 6.28/4.47 (((~v127(constB7, 1)) <=> v130(constB7, 1)) | v127(constB7, 1) | (~v130(constB7, 1))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5395,plain,
% 6.28/4.47 (v127(constB7, 1)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5394, 5393, 5391])).
% 6.28/4.47 tff(5396,plain,
% 6.28/4.47 (((~v129(constB8, 1)) <=> v127(constB7, 1)) | v129(constB8, 1) | (~v127(constB7, 1))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5397,plain,
% 6.28/4.47 (v129(constB8, 1)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5396, 5395, 5389])).
% 6.28/4.47 tff(5398,plain,
% 6.28/4.47 ((((~v90(constB8, 2)) <=> v129(constB8, 2)) | ((~v90(constB8, 1)) <=> v129(constB8, 1)) | ((~v90(constB8, 0)) <=> v129(constB8, 0))) | (~((~v90(constB8, 1)) <=> v129(constB8, 1)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5399,plain,
% 6.28/4.47 (~((~v90(constB8, 1)) <=> v129(constB8, 1))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5398, 5361])).
% 6.28/4.47 tff(5400,plain,
% 6.28/4.47 (((~v90(constB8, 1)) <=> v129(constB8, 1)) | v90(constB8, 1) | (~v129(constB8, 1))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5401,plain,
% 6.28/4.47 (v90(constB8, 1)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5400, 5399, 5397])).
% 6.28/4.47 tff(5402,plain,
% 6.28/4.47 (((~v90(constB9, 1)) <=> v90(constB8, 1)) | v90(constB9, 1) | (~v90(constB8, 1))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5403,plain,
% 6.28/4.47 (v90(constB9, 1)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5402, 5401, 5387])).
% 6.28/4.47 tff(5404,plain,
% 6.28/4.47 ((~(v90(constB9, 2) | v90(constB9, 0) | (~v90(constB9, 1)))) | v90(constB9, 2) | v90(constB9, 0) | (~v90(constB9, 1))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5405,plain,
% 6.28/4.47 (~(v90(constB9, 2) | v90(constB9, 0) | (~v90(constB9, 1)))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5404, 5403, 5385, 5367])).
% 6.28/4.47 tff(5406,plain,
% 6.28/4.47 ((~(v121(constB9) <=> (~(v90(constB9, 2) | v90(constB9, 0) | (~v90(constB9, 1)))))) | v121(constB9) | (v90(constB9, 2) | v90(constB9, 0) | (~v90(constB9, 1)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5407,plain,
% 6.28/4.47 (v121(constB9)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5406, 5405, 4250])).
% 6.28/4.47 tff(5408,plain,
% 6.28/4.47 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0))))) <=> ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0))))))),
% 6.28/4.47 inference(bind,[status(th)],[])).
% 6.28/4.47 tff(5409,plain,
% 6.28/4.47 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0))))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))),
% 6.28/4.47 inference(quant_intro,[status(thm)],[5408])).
% 6.28/4.47 tff(5410,plain,
% 6.28/4.47 (^[VarCurr: state_type] : rewrite(((~v121(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & v130(VarCurr, 0))) <=> ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0))))))),
% 6.28/4.47 inference(bind,[status(th)],[])).
% 6.28/4.47 tff(5411,plain,
% 6.28/4.47 (![VarCurr: state_type] : ((~v121(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))),
% 6.28/4.47 inference(quant_intro,[status(thm)],[5410])).
% 6.28/4.47 tff(5412,plain,
% 6.28/4.47 (![VarCurr: state_type] : ((~v121(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & v130(VarCurr, 0)))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5413,plain,
% 6.28/4.47 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $true)) <=> ((~v130(VarCurr, 2)) & v130(VarCurr, 1))), rewrite((v130(VarCurr, 0) <=> $true) <=> v130(VarCurr, 0)), ((((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $true)) <=> (((~v130(VarCurr, 2)) & v130(VarCurr, 1)) & v130(VarCurr, 0)))), rewrite((((~v130(VarCurr, 2)) & v130(VarCurr, 1)) & v130(VarCurr, 0)) <=> ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & v130(VarCurr, 0))), ((((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $true)) <=> ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & v130(VarCurr, 0)))), ((v121(VarCurr) => (((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $true))) <=> (v121(VarCurr) => ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & v130(VarCurr, 0))))), rewrite((v121(VarCurr) => ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & v130(VarCurr, 0))) <=> ((~v121(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & v130(VarCurr, 0)))), ((v121(VarCurr) => (((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $true))) <=> ((~v121(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & v130(VarCurr, 0)))))),
% 6.28/4.47 inference(bind,[status(th)],[])).
% 6.28/4.47 tff(5414,plain,
% 6.28/4.47 (![VarCurr: state_type] : (v121(VarCurr) => (((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & v130(VarCurr, 0)))),
% 6.28/4.47 inference(quant_intro,[status(thm)],[5413])).
% 6.28/4.47 tff(5415,axiom,(![VarCurr: state_type] : (v121(VarCurr) => (((v130(VarCurr, 2) <=> $false) & (v130(VarCurr, 1) <=> $true)) & (v130(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2')).
% 6.28/4.47 tff(5416,plain,
% 6.28/4.47 (![VarCurr: state_type] : ((~v121(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & v130(VarCurr, 0)))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5415, 5414])).
% 6.28/4.47 tff(5417,plain,
% 6.28/4.47 (![VarCurr: state_type] : ((~v121(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & v130(VarCurr, 0)))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5416, 5412])).
% 6.28/4.47 tff(5418,plain,(
% 6.28/4.47 ![VarCurr: state_type] : ((~v121(VarCurr)) | ((~v130(VarCurr, 2)) & v130(VarCurr, 1) & v130(VarCurr, 0)))),
% 6.28/4.47 inference(skolemize,[status(sab)],[5417])).
% 6.28/4.47 tff(5419,plain,
% 6.28/4.47 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5418, 5411])).
% 6.28/4.47 tff(5420,plain,
% 6.28/4.47 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5419, 5409])).
% 6.28/4.47 tff(5421,plain,
% 6.28/4.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB9)) | (~(v130(constB9, 2) | (~v130(constB9, 1)) | (~v130(constB9, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB9)) | (~(v130(constB9, 2) | (~v130(constB9, 1)) | (~v130(constB9, 0)))))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5422,plain,
% 6.28/4.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB9)) | (~(v130(constB9, 2) | (~v130(constB9, 1)) | (~v130(constB9, 0)))))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5423,plain,
% 6.28/4.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB9)) | (~(v130(constB9, 2) | (~v130(constB9, 1)) | (~v130(constB9, 0))))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5422, 5421])).
% 6.28/4.47 tff(5424,plain,
% 6.28/4.47 ((~v121(constB9)) | (~(v130(constB9, 2) | (~v130(constB9, 1)) | (~v130(constB9, 0))))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5423, 5420])).
% 6.28/4.47 tff(5425,plain,
% 6.28/4.47 (~(v130(constB9, 2) | (~v130(constB9, 1)) | (~v130(constB9, 0)))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5424, 5407])).
% 6.28/4.47 tff(5426,plain,
% 6.28/4.47 ((v130(constB9, 2) | (~v130(constB9, 1)) | (~v130(constB9, 0))) | (~v130(constB9, 2))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5427,plain,
% 6.28/4.47 (~v130(constB9, 2)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5426, 5425])).
% 6.28/4.47 tff(5428,plain,
% 6.28/4.47 (((~v127(constB9, 2)) <=> v130(constB9, 2)) | (~v127(constB9, 2)) | v130(constB9, 2)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5429,plain,
% 6.28/4.47 (~v127(constB9, 2)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5428, 5427, 4243])).
% 6.28/4.47 tff(5430,plain,
% 6.28/4.47 (((~v129(constB10, 2)) <=> v127(constB9, 2)) | (~v129(constB10, 2)) | v127(constB9, 2)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5431,plain,
% 6.28/4.47 (~v129(constB10, 2)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5430, 5429, 4229])).
% 6.28/4.47 tff(5432,plain,
% 6.28/4.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5433,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5434,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10)))))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5433, 5432])).
% 6.28/4.47 tff(5435,plain,
% 6.28/4.47 (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5434, 4223, 273])).
% 6.28/4.47 tff(5436,plain,
% 6.28/4.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5437,plain,
% 6.28/4.47 (((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10)))))) <=> ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5438,plain,
% 6.28/4.47 (((~![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) <=> (~((~v1(constB10)) | (~v102(constB10)))))))),
% 6.28/4.47 inference(monotonicity,[status(thm)],[5437])).
% 6.28/4.47 tff(5439,plain,
% 6.28/4.47 (((~![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) <=> (~((~v1(constB10)) | (~v102(constB10))))))),
% 6.28/4.47 inference(transitivity,[status(thm)],[5438, 5436])).
% 6.28/4.47 tff(5440,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10))))))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5441,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10)))))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5440, 5439])).
% 6.28/4.47 tff(5442,plain,
% 6.28/4.47 (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5441, 4223, 293])).
% 6.28/4.47 tff(5443,plain,
% 6.28/4.47 (((~![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)))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5444,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10)))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5445,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5444, 5443])).
% 6.28/4.47 tff(5446,plain,
% 6.28/4.47 ((~v102(constB10)) <=> v104(constB10)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5445, 4223, 4609])).
% 6.28/4.47 tff(5447,plain,
% 6.28/4.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9)))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5448,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9)))),
% 6.28/4.47 inference(quant_inst,[status(thm)],[])).
% 6.28/4.47 tff(5449,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9))),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5448, 5447])).
% 6.28/4.47 tff(5450,plain,
% 6.28/4.47 (v104(constB10) <=> v1(constB9)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5449, 4223, 4623])).
% 6.28/4.47 tff(5451,plain,
% 6.28/4.47 ((~(v104(constB10) <=> v1(constB9))) | (~v104(constB10)) | v1(constB9)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5452,plain,
% 6.28/4.47 ((~(v104(constB10) <=> v1(constB9))) | (~v104(constB10))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5451, 4267])).
% 6.28/4.47 tff(5453,plain,
% 6.28/4.47 (~v104(constB10)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5452, 5450])).
% 6.28/4.47 tff(5454,plain,
% 6.28/4.47 ((~((~v102(constB10)) <=> v104(constB10))) | v102(constB10) | v104(constB10)),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5455,plain,
% 6.28/4.47 (v102(constB10)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5454, 5453, 5446])).
% 6.28/4.47 tff(5456,plain,
% 6.28/4.47 (v1(constB10) <=> v1(constB10)),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5457,axiom,(v1(constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_10')).
% 6.28/4.47 tff(5458,plain,
% 6.28/4.47 (v1(constB10)),
% 6.28/4.47 inference(modus_ponens,[status(thm)],[5457, 5456])).
% 6.28/4.47 tff(5459,plain,
% 6.28/4.47 ((~((~v1(constB10)) | (~v102(constB10)))) | (~v1(constB10)) | (~v102(constB10))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5460,plain,
% 6.28/4.47 ((~((~v1(constB10)) | (~v102(constB10)))) | (~v102(constB10))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5459, 5458])).
% 6.28/4.47 tff(5461,plain,
% 6.28/4.47 (~((~v1(constB10)) | (~v102(constB10)))),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5460, 5455])).
% 6.28/4.47 tff(5462,plain,
% 6.28/4.47 ((~(v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10)))))) | v101(constB10) | ((~v1(constB10)) | (~v102(constB10)))),
% 6.28/4.47 inference(tautology,[status(thm)],[])).
% 6.28/4.47 tff(5463,plain,
% 6.28/4.47 (v101(constB10)),
% 6.28/4.47 inference(unit_resolution,[status(thm)],[5462, 5461, 5442])).
% 6.28/4.47 tff(5464,plain,
% 6.28/4.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9)))),
% 6.28/4.47 inference(rewrite,[status(thm)],[])).
% 6.28/4.47 tff(5465,plain,
% 6.28/4.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5466,plain,
% 6.28/4.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9))),
% 6.28/4.48 inference(modus_ponens,[status(thm)],[5465, 5464])).
% 6.28/4.48 tff(5467,plain,
% 6.28/4.48 (v110(constB10) <=> v108(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5466, 4223, 4650])).
% 6.28/4.48 tff(5468,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB9) <=> (v111(constB9) | v112(constB9)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5469,plain,
% 6.28/4.48 (v108(constB9) <=> (v111(constB9) | v112(constB9))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5468, 4661])).
% 6.28/4.48 tff(5470,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9)))))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5471,plain,
% 6.28/4.48 (v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9))))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5470, 4673])).
% 6.28/4.48 tff(5472,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB9) <=> (v114(constB9) | v125(constB9)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5473,plain,
% 6.28/4.48 (v113(constB9) <=> (v114(constB9) | v125(constB9))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5472, 4682])).
% 6.28/4.48 tff(5474,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB9) <=> (v115(constB9) | v124(constB9)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5475,plain,
% 6.28/4.48 (v114(constB9) <=> (v115(constB9) | v124(constB9))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5474, 4691])).
% 6.28/4.48 tff(5476,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB9) <=> (v116(constB9) | v123(constB9)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5477,plain,
% 6.28/4.48 (v115(constB9) <=> (v116(constB9) | v123(constB9))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5476, 4700])).
% 6.28/4.48 tff(5478,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB9) <=> (v117(constB9) | v122(constB9)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5479,plain,
% 6.28/4.48 (v116(constB9) <=> (v117(constB9) | v122(constB9))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5478, 4709])).
% 6.28/4.48 tff(5480,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB9) <=> (v118(constB9) | v121(constB9)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5481,plain,
% 6.28/4.48 (v117(constB9) <=> (v118(constB9) | v121(constB9))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5480, 4718])).
% 6.28/4.48 tff(5482,plain,
% 6.28/4.48 ((v118(constB9) | v121(constB9)) | (~v121(constB9))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5483,plain,
% 6.28/4.48 (v118(constB9) | v121(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5482, 5407])).
% 6.28/4.48 tff(5484,plain,
% 6.28/4.48 ((~(v117(constB9) <=> (v118(constB9) | v121(constB9)))) | v117(constB9) | (~(v118(constB9) | v121(constB9)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5485,plain,
% 6.28/4.48 (v117(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5484, 5483, 5481])).
% 6.28/4.48 tff(5486,plain,
% 6.28/4.48 ((v117(constB9) | v122(constB9)) | (~v117(constB9))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5487,plain,
% 6.28/4.48 (v117(constB9) | v122(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5486, 5485])).
% 6.28/4.48 tff(5488,plain,
% 6.28/4.48 ((~(v116(constB9) <=> (v117(constB9) | v122(constB9)))) | v116(constB9) | (~(v117(constB9) | v122(constB9)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5489,plain,
% 6.28/4.48 (v116(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5488, 5487, 5479])).
% 6.28/4.48 tff(5490,plain,
% 6.28/4.48 ((v116(constB9) | v123(constB9)) | (~v116(constB9))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5491,plain,
% 6.28/4.48 (v116(constB9) | v123(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5490, 5489])).
% 6.28/4.48 tff(5492,plain,
% 6.28/4.48 ((~(v115(constB9) <=> (v116(constB9) | v123(constB9)))) | v115(constB9) | (~(v116(constB9) | v123(constB9)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5493,plain,
% 6.28/4.48 (v115(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5492, 5491, 5477])).
% 6.28/4.48 tff(5494,plain,
% 6.28/4.48 ((v115(constB9) | v124(constB9)) | (~v115(constB9))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5495,plain,
% 6.28/4.48 (v115(constB9) | v124(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5494, 5493])).
% 6.28/4.48 tff(5496,plain,
% 6.28/4.48 ((~(v114(constB9) <=> (v115(constB9) | v124(constB9)))) | v114(constB9) | (~(v115(constB9) | v124(constB9)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5497,plain,
% 6.28/4.48 (v114(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5496, 5495, 5475])).
% 6.28/4.48 tff(5498,plain,
% 6.28/4.48 ((v114(constB9) | v125(constB9)) | (~v114(constB9))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5499,plain,
% 6.28/4.48 (v114(constB9) | v125(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5498, 5497])).
% 6.28/4.48 tff(5500,plain,
% 6.28/4.48 ((~(v113(constB9) <=> (v114(constB9) | v125(constB9)))) | v113(constB9) | (~(v114(constB9) | v125(constB9)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5501,plain,
% 6.28/4.48 (v113(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5500, 5499, 5473])).
% 6.28/4.48 tff(5502,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB9)) <=> v111(constB9))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5503,plain,
% 6.28/4.48 ((~v126(constB9)) <=> v111(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5502, 4761])).
% 6.28/4.48 tff(5504,plain,
% 6.28/4.48 ((~((~v126(constB9)) <=> v111(constB9))) | v126(constB9) | v111(constB9)),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5505,plain,
% 6.28/4.48 ((~((~v126(constB9)) <=> v111(constB9))) | v126(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5504, 4236])).
% 6.28/4.48 tff(5506,plain,
% 6.28/4.48 (v126(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5505, 5503])).
% 6.28/4.48 tff(5507,plain,
% 6.28/4.48 ((~((~v113(constB9)) | (~v126(constB9)))) | (~v113(constB9)) | (~v126(constB9))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5508,plain,
% 6.28/4.48 ((~((~v113(constB9)) | (~v126(constB9)))) | (~v113(constB9))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5507, 5506])).
% 6.28/4.48 tff(5509,plain,
% 6.28/4.48 (~((~v113(constB9)) | (~v126(constB9)))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5508, 5501])).
% 6.28/4.48 tff(5510,plain,
% 6.28/4.48 ((~(v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9)))))) | v112(constB9) | ((~v113(constB9)) | (~v126(constB9)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5511,plain,
% 6.28/4.48 (v112(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5510, 5509, 5471])).
% 6.28/4.48 tff(5512,plain,
% 6.28/4.48 ((v111(constB9) | v112(constB9)) | (~v112(constB9))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5513,plain,
% 6.28/4.48 (v111(constB9) | v112(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5512, 5511])).
% 6.28/4.48 tff(5514,plain,
% 6.28/4.48 ((~(v108(constB9) <=> (v111(constB9) | v112(constB9)))) | v108(constB9) | (~(v111(constB9) | v112(constB9)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5515,plain,
% 6.28/4.48 (v108(constB9)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5514, 5513, 5469])).
% 6.28/4.48 tff(5516,plain,
% 6.28/4.48 ((~(v110(constB10) <=> v108(constB9))) | v110(constB10) | (~v108(constB9))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5517,plain,
% 6.28/4.48 (v110(constB10)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5516, 5515, 5467])).
% 6.28/4.48 tff(5518,plain,
% 6.28/4.48 ((~((~v101(constB10)) | (~v110(constB10)))) | (~v101(constB10)) | (~v110(constB10))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5519,plain,
% 6.28/4.48 (~((~v101(constB10)) | (~v110(constB10)))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5518, 5517, 5463])).
% 6.28/4.48 tff(5520,plain,
% 6.28/4.48 ((~(v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10)))))) | v100(constB10) | ((~v101(constB10)) | (~v110(constB10)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5521,plain,
% 6.28/4.48 (v100(constB10)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5520, 5519, 5435])).
% 6.28/4.48 tff(5522,plain,
% 6.28/4.48 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB10)) | (~(((~v90(constB10, 0)) <=> v129(constB10, 0)) | ((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB10)) | (~(((~v90(constB10, 0)) <=> v129(constB10, 0)) | ((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1)))))),
% 6.28/4.48 inference(rewrite,[status(thm)],[])).
% 6.28/4.48 tff(5523,plain,
% 6.28/4.48 (((~v100(constB10)) | (~(((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1)) | ((~v90(constB10, 0)) <=> v129(constB10, 0))))) <=> ((~v100(constB10)) | (~(((~v90(constB10, 0)) <=> v129(constB10, 0)) | ((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1)))))),
% 6.28/4.48 inference(rewrite,[status(thm)],[])).
% 6.28/4.48 tff(5524,plain,
% 6.28/4.48 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB10)) | (~(((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1)) | ((~v90(constB10, 0)) <=> v129(constB10, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB10)) | (~(((~v90(constB10, 0)) <=> v129(constB10, 0)) | ((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1))))))),
% 6.28/4.48 inference(monotonicity,[status(thm)],[5523])).
% 6.28/4.48 tff(5525,plain,
% 6.28/4.48 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB10)) | (~(((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1)) | ((~v90(constB10, 0)) <=> v129(constB10, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB10)) | (~(((~v90(constB10, 0)) <=> v129(constB10, 0)) | ((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1)))))),
% 6.28/4.48 inference(transitivity,[status(thm)],[5524, 5522])).
% 6.28/4.48 tff(5526,plain,
% 6.28/4.48 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB10)) | (~(((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1)) | ((~v90(constB10, 0)) <=> v129(constB10, 0)))))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5527,plain,
% 6.28/4.48 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB10)) | (~(((~v90(constB10, 0)) <=> v129(constB10, 0)) | ((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1))))),
% 6.28/4.48 inference(modus_ponens,[status(thm)],[5526, 5525])).
% 6.28/4.48 tff(5528,plain,
% 6.28/4.48 ((~v100(constB10)) | (~(((~v90(constB10, 0)) <=> v129(constB10, 0)) | ((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1))))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5527, 4794])).
% 6.28/4.48 tff(5529,plain,
% 6.28/4.48 (~(((~v90(constB10, 0)) <=> v129(constB10, 0)) | ((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1)))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5528, 5521])).
% 6.28/4.48 tff(5530,plain,
% 6.28/4.48 ((((~v90(constB10, 0)) <=> v129(constB10, 0)) | ((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1))) | (~((~v90(constB10, 2)) <=> v129(constB10, 2)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5531,plain,
% 6.28/4.48 (~((~v90(constB10, 2)) <=> v129(constB10, 2))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5530, 5529])).
% 6.28/4.48 tff(5532,plain,
% 6.28/4.48 (((~v90(constB10, 2)) <=> v129(constB10, 2)) | (~v90(constB10, 2)) | v129(constB10, 2)),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5533,plain,
% 6.28/4.48 (~v90(constB10, 2)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5532, 5531, 5431])).
% 6.28/4.48 tff(5534,plain,
% 6.28/4.48 (((~v90(constB11, 2)) <=> v90(constB10, 2)) | (~v90(constB11, 2)) | v90(constB10, 2)),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5535,plain,
% 6.28/4.48 (~v90(constB11, 2)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5534, 5533, 4220])).
% 6.28/4.48 tff(5536,plain,
% 6.28/4.48 ((((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0))) | (~((~v90(constB11, 0)) <=> v90(constB10, 0)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5537,plain,
% 6.28/4.48 (~((~v90(constB11, 0)) <=> v90(constB10, 0))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5536, 4218])).
% 6.28/4.48 tff(5538,plain,
% 6.28/4.48 ((((~v129(constB10, 2)) <=> v127(constB9, 2)) | ((~v129(constB10, 1)) <=> v127(constB9, 1)) | ((~v129(constB10, 0)) <=> v127(constB9, 0))) | (~((~v129(constB10, 0)) <=> v127(constB9, 0)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5539,plain,
% 6.28/4.48 (~((~v129(constB10, 0)) <=> v127(constB9, 0))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5538, 4227])).
% 6.28/4.48 tff(5540,plain,
% 6.28/4.48 ((((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0))) | (~((~v127(constB9, 0)) <=> v130(constB9, 0)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5541,plain,
% 6.28/4.48 (~((~v127(constB9, 0)) <=> v130(constB9, 0))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5540, 4241])).
% 6.28/4.48 tff(5542,plain,
% 6.28/4.48 ((v130(constB9, 2) | (~v130(constB9, 1)) | (~v130(constB9, 0))) | v130(constB9, 0)),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5543,plain,
% 6.28/4.48 (v130(constB9, 0)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5542, 5425])).
% 6.28/4.48 tff(5544,plain,
% 6.28/4.48 (((~v127(constB9, 0)) <=> v130(constB9, 0)) | v127(constB9, 0) | (~v130(constB9, 0))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5545,plain,
% 6.28/4.48 (v127(constB9, 0)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5544, 5543, 5541])).
% 6.28/4.48 tff(5546,plain,
% 6.28/4.48 (((~v129(constB10, 0)) <=> v127(constB9, 0)) | v129(constB10, 0) | (~v127(constB9, 0))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5547,plain,
% 6.28/4.48 (v129(constB10, 0)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5546, 5545, 5539])).
% 6.28/4.48 tff(5548,plain,
% 6.28/4.48 ((((~v90(constB10, 0)) <=> v129(constB10, 0)) | ((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1))) | (~((~v90(constB10, 0)) <=> v129(constB10, 0)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5549,plain,
% 6.28/4.48 (~((~v90(constB10, 0)) <=> v129(constB10, 0))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5548, 5529])).
% 6.28/4.48 tff(5550,plain,
% 6.28/4.48 (((~v90(constB10, 0)) <=> v129(constB10, 0)) | v90(constB10, 0) | (~v129(constB10, 0))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5551,plain,
% 6.28/4.48 (v90(constB10, 0)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5550, 5549, 5547])).
% 6.28/4.48 tff(5552,plain,
% 6.28/4.48 (((~v90(constB11, 0)) <=> v90(constB10, 0)) | v90(constB11, 0) | (~v90(constB10, 0))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5553,plain,
% 6.28/4.48 (v90(constB11, 0)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5552, 5551, 5537])).
% 6.28/4.48 tff(5554,plain,
% 6.28/4.48 ((((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0))) | (~((~v90(constB11, 1)) <=> v90(constB10, 1)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5555,plain,
% 6.28/4.48 (~((~v90(constB11, 1)) <=> v90(constB10, 1))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5554, 4218])).
% 6.28/4.48 tff(5556,plain,
% 6.28/4.48 ((((~v129(constB10, 2)) <=> v127(constB9, 2)) | ((~v129(constB10, 1)) <=> v127(constB9, 1)) | ((~v129(constB10, 0)) <=> v127(constB9, 0))) | (~((~v129(constB10, 1)) <=> v127(constB9, 1)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5557,plain,
% 6.28/4.48 (~((~v129(constB10, 1)) <=> v127(constB9, 1))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5556, 4227])).
% 6.28/4.48 tff(5558,plain,
% 6.28/4.48 ((((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0))) | (~((~v127(constB9, 1)) <=> v130(constB9, 1)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5559,plain,
% 6.28/4.48 (~((~v127(constB9, 1)) <=> v130(constB9, 1))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5558, 4241])).
% 6.28/4.48 tff(5560,plain,
% 6.28/4.48 ((v130(constB9, 2) | (~v130(constB9, 1)) | (~v130(constB9, 0))) | v130(constB9, 1)),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5561,plain,
% 6.28/4.48 (v130(constB9, 1)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5560, 5425])).
% 6.28/4.48 tff(5562,plain,
% 6.28/4.48 (((~v127(constB9, 1)) <=> v130(constB9, 1)) | v127(constB9, 1) | (~v130(constB9, 1))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5563,plain,
% 6.28/4.48 (v127(constB9, 1)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5562, 5561, 5559])).
% 6.28/4.48 tff(5564,plain,
% 6.28/4.48 (((~v129(constB10, 1)) <=> v127(constB9, 1)) | v129(constB10, 1) | (~v127(constB9, 1))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5565,plain,
% 6.28/4.48 (v129(constB10, 1)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5564, 5563, 5557])).
% 6.28/4.48 tff(5566,plain,
% 6.28/4.48 ((((~v90(constB10, 0)) <=> v129(constB10, 0)) | ((~v90(constB10, 2)) <=> v129(constB10, 2)) | ((~v90(constB10, 1)) <=> v129(constB10, 1))) | (~((~v90(constB10, 1)) <=> v129(constB10, 1)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5567,plain,
% 6.28/4.48 (~((~v90(constB10, 1)) <=> v129(constB10, 1))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5566, 5529])).
% 6.28/4.48 tff(5568,plain,
% 6.28/4.48 (((~v90(constB10, 1)) <=> v129(constB10, 1)) | v90(constB10, 1) | (~v129(constB10, 1))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5569,plain,
% 6.28/4.48 (v90(constB10, 1)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5568, 5567, 5565])).
% 6.28/4.48 tff(5570,plain,
% 6.28/4.48 (((~v90(constB11, 1)) <=> v90(constB10, 1)) | v90(constB11, 1) | (~v90(constB10, 1))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5571,plain,
% 6.28/4.48 (v90(constB11, 1)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5570, 5569, 5555])).
% 6.28/4.48 tff(5572,plain,
% 6.28/4.48 ((~(v90(constB11, 2) | (~v90(constB11, 1)) | (~v90(constB11, 0)))) | v90(constB11, 2) | (~v90(constB11, 1)) | (~v90(constB11, 0))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5573,plain,
% 6.28/4.48 (~(v90(constB11, 2) | (~v90(constB11, 1)) | (~v90(constB11, 0)))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5572, 5571, 5553, 5535])).
% 6.28/4.48 tff(5574,plain,
% 6.28/4.48 ((~(v122(constB11) <=> (~(v90(constB11, 2) | (~v90(constB11, 1)) | (~v90(constB11, 0)))))) | v122(constB11) | (v90(constB11, 2) | (~v90(constB11, 1)) | (~v90(constB11, 0)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5575,plain,
% 6.28/4.48 (v122(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5574, 5573, 4184])).
% 6.28/4.48 tff(5576,plain,
% 6.28/4.48 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2))))) <=> ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2))))))),
% 6.28/4.48 inference(bind,[status(th)],[])).
% 6.28/4.48 tff(5577,plain,
% 6.28/4.48 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2))))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))),
% 6.28/4.48 inference(quant_intro,[status(thm)],[5576])).
% 6.28/4.48 tff(5578,plain,
% 6.28/4.48 (^[VarCurr: state_type] : rewrite(((~v122(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0)))) <=> ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2))))))),
% 6.28/4.48 inference(bind,[status(th)],[])).
% 6.28/4.48 tff(5579,plain,
% 6.28/4.48 (![VarCurr: state_type] : ((~v122(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))),
% 6.28/4.48 inference(quant_intro,[status(thm)],[5578])).
% 6.28/4.48 tff(5580,plain,
% 6.28/4.48 (![VarCurr: state_type] : ((~v122(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))),
% 6.28/4.48 inference(rewrite,[status(thm)],[])).
% 6.28/4.48 tff(5581,plain,
% 6.28/4.48 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $false)) <=> (v130(VarCurr, 2) & (~v130(VarCurr, 1)))), rewrite((v130(VarCurr, 0) <=> $false) <=> (~v130(VarCurr, 0))), ((((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $false)) <=> ((v130(VarCurr, 2) & (~v130(VarCurr, 1))) & (~v130(VarCurr, 0))))), rewrite(((v130(VarCurr, 2) & (~v130(VarCurr, 1))) & (~v130(VarCurr, 0))) <=> (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0)))), ((((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $false)) <=> (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))), ((v122(VarCurr) => (((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $false))) <=> (v122(VarCurr) => (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0)))))), rewrite((v122(VarCurr) => (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0)))) <=> ((~v122(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))), ((v122(VarCurr) => (((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $false))) <=> ((~v122(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))))),
% 6.28/4.48 inference(bind,[status(th)],[])).
% 6.28/4.48 tff(5582,plain,
% 6.28/4.48 (![VarCurr: state_type] : (v122(VarCurr) => (((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))),
% 6.28/4.48 inference(quant_intro,[status(thm)],[5581])).
% 6.28/4.48 tff(5583,axiom,(![VarCurr: state_type] : (v122(VarCurr) => (((v130(VarCurr, 2) <=> $true) & (v130(VarCurr, 1) <=> $false)) & (v130(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3')).
% 6.28/4.48 tff(5584,plain,
% 6.28/4.48 (![VarCurr: state_type] : ((~v122(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))),
% 6.28/4.48 inference(modus_ponens,[status(thm)],[5583, 5582])).
% 6.28/4.48 tff(5585,plain,
% 6.28/4.48 (![VarCurr: state_type] : ((~v122(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))),
% 6.28/4.48 inference(modus_ponens,[status(thm)],[5584, 5580])).
% 6.28/4.48 tff(5586,plain,(
% 6.28/4.48 ![VarCurr: state_type] : ((~v122(VarCurr)) | (v130(VarCurr, 2) & (~v130(VarCurr, 1)) & (~v130(VarCurr, 0))))),
% 6.28/4.48 inference(skolemize,[status(sab)],[5585])).
% 6.28/4.48 tff(5587,plain,
% 6.28/4.48 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))),
% 6.28/4.48 inference(modus_ponens,[status(thm)],[5586, 5579])).
% 6.28/4.48 tff(5588,plain,
% 6.28/4.48 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))),
% 6.28/4.48 inference(modus_ponens,[status(thm)],[5587, 5577])).
% 6.28/4.48 tff(5589,plain,
% 6.28/4.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB11)) | (~(v130(constB11, 1) | v130(constB11, 0) | (~v130(constB11, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB11)) | (~(v130(constB11, 1) | v130(constB11, 0) | (~v130(constB11, 2)))))),
% 6.28/4.48 inference(rewrite,[status(thm)],[])).
% 6.28/4.48 tff(5590,plain,
% 6.28/4.48 (((~v122(constB11)) | (~(v130(constB11, 0) | v130(constB11, 1) | (~v130(constB11, 2))))) <=> ((~v122(constB11)) | (~(v130(constB11, 1) | v130(constB11, 0) | (~v130(constB11, 2)))))),
% 6.28/4.48 inference(rewrite,[status(thm)],[])).
% 6.28/4.48 tff(5591,plain,
% 6.28/4.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB11)) | (~(v130(constB11, 0) | v130(constB11, 1) | (~v130(constB11, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB11)) | (~(v130(constB11, 1) | v130(constB11, 0) | (~v130(constB11, 2))))))),
% 6.28/4.48 inference(monotonicity,[status(thm)],[5590])).
% 6.28/4.48 tff(5592,plain,
% 6.28/4.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB11)) | (~(v130(constB11, 0) | v130(constB11, 1) | (~v130(constB11, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB11)) | (~(v130(constB11, 1) | v130(constB11, 0) | (~v130(constB11, 2)))))),
% 6.28/4.48 inference(transitivity,[status(thm)],[5591, 5589])).
% 6.28/4.48 tff(5593,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB11)) | (~(v130(constB11, 0) | v130(constB11, 1) | (~v130(constB11, 2)))))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5594,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB11)) | (~(v130(constB11, 1) | v130(constB11, 0) | (~v130(constB11, 2))))),
% 6.28/4.48 inference(modus_ponens,[status(thm)],[5593, 5592])).
% 6.28/4.48 tff(5595,plain,
% 6.28/4.48 ((~v122(constB11)) | (~(v130(constB11, 1) | v130(constB11, 0) | (~v130(constB11, 2))))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5594, 5588])).
% 6.28/4.48 tff(5596,plain,
% 6.28/4.48 (~(v130(constB11, 1) | v130(constB11, 0) | (~v130(constB11, 2)))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5595, 5575])).
% 6.28/4.48 tff(5597,plain,
% 6.28/4.48 ((v130(constB11, 1) | v130(constB11, 0) | (~v130(constB11, 2))) | v130(constB11, 2)),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5598,plain,
% 6.28/4.48 (v130(constB11, 2)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5597, 5596])).
% 6.28/4.48 tff(5599,plain,
% 6.28/4.48 (((~v127(constB11, 2)) <=> v130(constB11, 2)) | v127(constB11, 2) | (~v130(constB11, 2))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5600,plain,
% 6.28/4.48 (v127(constB11, 2)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5599, 5598, 4177])).
% 6.28/4.48 tff(5601,plain,
% 6.28/4.48 (((~v129(constB12, 2)) <=> v127(constB11, 2)) | v129(constB12, 2) | (~v127(constB11, 2))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5602,plain,
% 6.28/4.48 (v129(constB12, 2)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5601, 5600, 4163])).
% 6.28/4.48 tff(5603,plain,
% 6.28/4.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))))),
% 6.28/4.48 inference(rewrite,[status(thm)],[])).
% 6.28/4.48 tff(5604,plain,
% 6.28/4.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5605,plain,
% 6.28/4.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12)))))),
% 6.28/4.48 inference(modus_ponens,[status(thm)],[5604, 5603])).
% 6.28/4.48 tff(5606,plain,
% 6.28/4.48 (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5605, 4157, 273])).
% 6.28/4.48 tff(5607,plain,
% 6.28/4.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))),
% 6.28/4.48 inference(rewrite,[status(thm)],[])).
% 6.28/4.48 tff(5608,plain,
% 6.28/4.48 (((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12)))))) <=> ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))),
% 6.28/4.48 inference(rewrite,[status(thm)],[])).
% 6.28/4.48 tff(5609,plain,
% 6.28/4.48 (((~![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) <=> (~((~v1(constB12)) | (~v102(constB12)))))))),
% 6.28/4.48 inference(monotonicity,[status(thm)],[5608])).
% 6.28/4.48 tff(5610,plain,
% 6.28/4.48 (((~![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) <=> (~((~v1(constB12)) | (~v102(constB12))))))),
% 6.28/4.48 inference(transitivity,[status(thm)],[5609, 5607])).
% 6.28/4.48 tff(5611,plain,
% 6.28/4.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12))))))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5612,plain,
% 6.28/4.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12)))))),
% 6.28/4.48 inference(modus_ponens,[status(thm)],[5611, 5610])).
% 6.28/4.48 tff(5613,plain,
% 6.28/4.48 (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5612, 4157, 293])).
% 6.28/4.48 tff(5614,plain,
% 6.28/4.48 (((~![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)))),
% 6.28/4.48 inference(rewrite,[status(thm)],[])).
% 6.28/4.48 tff(5615,plain,
% 6.28/4.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5616,plain,
% 6.28/4.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12))),
% 6.28/4.48 inference(modus_ponens,[status(thm)],[5615, 5614])).
% 6.28/4.48 tff(5617,plain,
% 6.28/4.48 ((~v102(constB12)) <=> v104(constB12)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5616, 4157, 4609])).
% 6.28/4.48 tff(5618,plain,
% 6.28/4.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11)))),
% 6.28/4.48 inference(rewrite,[status(thm)],[])).
% 6.28/4.48 tff(5619,plain,
% 6.28/4.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5620,plain,
% 6.28/4.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11))),
% 6.28/4.48 inference(modus_ponens,[status(thm)],[5619, 5618])).
% 6.28/4.48 tff(5621,plain,
% 6.28/4.48 (v104(constB12) <=> v1(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5620, 4157, 4623])).
% 6.28/4.48 tff(5622,plain,
% 6.28/4.48 ((~(v104(constB12) <=> v1(constB11))) | (~v104(constB12)) | v1(constB11)),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5623,plain,
% 6.28/4.48 ((~(v104(constB12) <=> v1(constB11))) | (~v104(constB12))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5622, 4201])).
% 6.28/4.48 tff(5624,plain,
% 6.28/4.48 (~v104(constB12)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5623, 5621])).
% 6.28/4.48 tff(5625,plain,
% 6.28/4.48 ((~((~v102(constB12)) <=> v104(constB12))) | v102(constB12) | v104(constB12)),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5626,plain,
% 6.28/4.48 (v102(constB12)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5625, 5624, 5617])).
% 6.28/4.48 tff(5627,plain,
% 6.28/4.48 (v1(constB12) <=> v1(constB12)),
% 6.28/4.48 inference(rewrite,[status(thm)],[])).
% 6.28/4.48 tff(5628,axiom,(v1(constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_12')).
% 6.28/4.48 tff(5629,plain,
% 6.28/4.48 (v1(constB12)),
% 6.28/4.48 inference(modus_ponens,[status(thm)],[5628, 5627])).
% 6.28/4.48 tff(5630,plain,
% 6.28/4.48 ((~((~v1(constB12)) | (~v102(constB12)))) | (~v1(constB12)) | (~v102(constB12))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5631,plain,
% 6.28/4.48 ((~((~v1(constB12)) | (~v102(constB12)))) | (~v102(constB12))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5630, 5629])).
% 6.28/4.48 tff(5632,plain,
% 6.28/4.48 (~((~v1(constB12)) | (~v102(constB12)))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5631, 5626])).
% 6.28/4.48 tff(5633,plain,
% 6.28/4.48 ((~(v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12)))))) | v101(constB12) | ((~v1(constB12)) | (~v102(constB12)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5634,plain,
% 6.28/4.48 (v101(constB12)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5633, 5632, 5613])).
% 6.28/4.48 tff(5635,plain,
% 6.28/4.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11)))),
% 6.28/4.48 inference(rewrite,[status(thm)],[])).
% 6.28/4.48 tff(5636,plain,
% 6.28/4.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5637,plain,
% 6.28/4.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11))),
% 6.28/4.48 inference(modus_ponens,[status(thm)],[5636, 5635])).
% 6.28/4.48 tff(5638,plain,
% 6.28/4.48 (v110(constB12) <=> v108(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5637, 4157, 4650])).
% 6.28/4.48 tff(5639,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB11) <=> (v111(constB11) | v112(constB11)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5640,plain,
% 6.28/4.48 (v108(constB11) <=> (v111(constB11) | v112(constB11))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5639, 4661])).
% 6.28/4.48 tff(5641,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11)))))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5642,plain,
% 6.28/4.48 (v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11))))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5641, 4673])).
% 6.28/4.48 tff(5643,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB11) <=> (v114(constB11) | v125(constB11)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5644,plain,
% 6.28/4.48 (v113(constB11) <=> (v114(constB11) | v125(constB11))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5643, 4682])).
% 6.28/4.48 tff(5645,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB11) <=> (v115(constB11) | v124(constB11)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5646,plain,
% 6.28/4.48 (v114(constB11) <=> (v115(constB11) | v124(constB11))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5645, 4691])).
% 6.28/4.48 tff(5647,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB11) <=> (v116(constB11) | v123(constB11)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5648,plain,
% 6.28/4.48 (v115(constB11) <=> (v116(constB11) | v123(constB11))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5647, 4700])).
% 6.28/4.48 tff(5649,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB11) <=> (v117(constB11) | v122(constB11)))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5650,plain,
% 6.28/4.48 (v116(constB11) <=> (v117(constB11) | v122(constB11))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5649, 4709])).
% 6.28/4.48 tff(5651,plain,
% 6.28/4.48 ((v117(constB11) | v122(constB11)) | (~v122(constB11))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5652,plain,
% 6.28/4.48 (v117(constB11) | v122(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5651, 5575])).
% 6.28/4.48 tff(5653,plain,
% 6.28/4.48 ((~(v116(constB11) <=> (v117(constB11) | v122(constB11)))) | v116(constB11) | (~(v117(constB11) | v122(constB11)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5654,plain,
% 6.28/4.48 (v116(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5653, 5652, 5650])).
% 6.28/4.48 tff(5655,plain,
% 6.28/4.48 ((v116(constB11) | v123(constB11)) | (~v116(constB11))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5656,plain,
% 6.28/4.48 (v116(constB11) | v123(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5655, 5654])).
% 6.28/4.48 tff(5657,plain,
% 6.28/4.48 ((~(v115(constB11) <=> (v116(constB11) | v123(constB11)))) | v115(constB11) | (~(v116(constB11) | v123(constB11)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5658,plain,
% 6.28/4.48 (v115(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5657, 5656, 5648])).
% 6.28/4.48 tff(5659,plain,
% 6.28/4.48 ((v115(constB11) | v124(constB11)) | (~v115(constB11))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5660,plain,
% 6.28/4.48 (v115(constB11) | v124(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5659, 5658])).
% 6.28/4.48 tff(5661,plain,
% 6.28/4.48 ((~(v114(constB11) <=> (v115(constB11) | v124(constB11)))) | v114(constB11) | (~(v115(constB11) | v124(constB11)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5662,plain,
% 6.28/4.48 (v114(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5661, 5660, 5646])).
% 6.28/4.48 tff(5663,plain,
% 6.28/4.48 ((v114(constB11) | v125(constB11)) | (~v114(constB11))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5664,plain,
% 6.28/4.48 (v114(constB11) | v125(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5663, 5662])).
% 6.28/4.48 tff(5665,plain,
% 6.28/4.48 ((~(v113(constB11) <=> (v114(constB11) | v125(constB11)))) | v113(constB11) | (~(v114(constB11) | v125(constB11)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5666,plain,
% 6.28/4.48 (v113(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5665, 5664, 5644])).
% 6.28/4.48 tff(5667,plain,
% 6.28/4.48 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB11)) <=> v111(constB11))),
% 6.28/4.48 inference(quant_inst,[status(thm)],[])).
% 6.28/4.48 tff(5668,plain,
% 6.28/4.48 ((~v126(constB11)) <=> v111(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5667, 4761])).
% 6.28/4.48 tff(5669,plain,
% 6.28/4.48 ((~((~v126(constB11)) <=> v111(constB11))) | v126(constB11) | v111(constB11)),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5670,plain,
% 6.28/4.48 ((~((~v126(constB11)) <=> v111(constB11))) | v126(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5669, 4170])).
% 6.28/4.48 tff(5671,plain,
% 6.28/4.48 (v126(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5670, 5668])).
% 6.28/4.48 tff(5672,plain,
% 6.28/4.48 ((~((~v113(constB11)) | (~v126(constB11)))) | (~v113(constB11)) | (~v126(constB11))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5673,plain,
% 6.28/4.48 ((~((~v113(constB11)) | (~v126(constB11)))) | (~v113(constB11))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5672, 5671])).
% 6.28/4.48 tff(5674,plain,
% 6.28/4.48 (~((~v113(constB11)) | (~v126(constB11)))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5673, 5666])).
% 6.28/4.48 tff(5675,plain,
% 6.28/4.48 ((~(v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11)))))) | v112(constB11) | ((~v113(constB11)) | (~v126(constB11)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5676,plain,
% 6.28/4.48 (v112(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5675, 5674, 5642])).
% 6.28/4.48 tff(5677,plain,
% 6.28/4.48 ((v111(constB11) | v112(constB11)) | (~v112(constB11))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5678,plain,
% 6.28/4.48 (v111(constB11) | v112(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5677, 5676])).
% 6.28/4.48 tff(5679,plain,
% 6.28/4.48 ((~(v108(constB11) <=> (v111(constB11) | v112(constB11)))) | v108(constB11) | (~(v111(constB11) | v112(constB11)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5680,plain,
% 6.28/4.48 (v108(constB11)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5679, 5678, 5640])).
% 6.28/4.48 tff(5681,plain,
% 6.28/4.48 ((~(v110(constB12) <=> v108(constB11))) | v110(constB12) | (~v108(constB11))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5682,plain,
% 6.28/4.48 (v110(constB12)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5681, 5680, 5638])).
% 6.28/4.48 tff(5683,plain,
% 6.28/4.48 ((~((~v101(constB12)) | (~v110(constB12)))) | (~v101(constB12)) | (~v110(constB12))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5684,plain,
% 6.28/4.48 (~((~v101(constB12)) | (~v110(constB12)))),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5683, 5682, 5634])).
% 6.28/4.48 tff(5685,plain,
% 6.28/4.48 ((~(v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12)))))) | v100(constB12) | ((~v101(constB12)) | (~v110(constB12)))),
% 6.28/4.48 inference(tautology,[status(thm)],[])).
% 6.28/4.48 tff(5686,plain,
% 6.28/4.48 (v100(constB12)),
% 6.28/4.48 inference(unit_resolution,[status(thm)],[5685, 5684, 5606])).
% 6.28/4.49 tff(5687,plain,
% 6.28/4.49 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB12)) | (~(((~v90(constB12, 2)) <=> v129(constB12, 2)) | ((~v90(constB12, 1)) <=> v129(constB12, 1)) | ((~v90(constB12, 0)) <=> v129(constB12, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB12)) | (~(((~v90(constB12, 2)) <=> v129(constB12, 2)) | ((~v90(constB12, 1)) <=> v129(constB12, 1)) | ((~v90(constB12, 0)) <=> v129(constB12, 0)))))),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5688,plain,
% 6.28/4.49 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB12)) | (~(((~v90(constB12, 2)) <=> v129(constB12, 2)) | ((~v90(constB12, 1)) <=> v129(constB12, 1)) | ((~v90(constB12, 0)) <=> v129(constB12, 0)))))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5689,plain,
% 6.28/4.49 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB12)) | (~(((~v90(constB12, 2)) <=> v129(constB12, 2)) | ((~v90(constB12, 1)) <=> v129(constB12, 1)) | ((~v90(constB12, 0)) <=> v129(constB12, 0))))),
% 6.28/4.49 inference(modus_ponens,[status(thm)],[5688, 5687])).
% 6.28/4.49 tff(5690,plain,
% 6.28/4.49 ((~v100(constB12)) | (~(((~v90(constB12, 2)) <=> v129(constB12, 2)) | ((~v90(constB12, 1)) <=> v129(constB12, 1)) | ((~v90(constB12, 0)) <=> v129(constB12, 0))))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5689, 4794])).
% 6.28/4.49 tff(5691,plain,
% 6.28/4.49 (~(((~v90(constB12, 2)) <=> v129(constB12, 2)) | ((~v90(constB12, 1)) <=> v129(constB12, 1)) | ((~v90(constB12, 0)) <=> v129(constB12, 0)))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5690, 5686])).
% 6.28/4.49 tff(5692,plain,
% 6.28/4.49 ((((~v90(constB12, 2)) <=> v129(constB12, 2)) | ((~v90(constB12, 1)) <=> v129(constB12, 1)) | ((~v90(constB12, 0)) <=> v129(constB12, 0))) | (~((~v90(constB12, 2)) <=> v129(constB12, 2)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5693,plain,
% 6.28/4.49 (~((~v90(constB12, 2)) <=> v129(constB12, 2))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5692, 5691])).
% 6.28/4.49 tff(5694,plain,
% 6.28/4.49 (((~v90(constB12, 2)) <=> v129(constB12, 2)) | v90(constB12, 2) | (~v129(constB12, 2))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5695,plain,
% 6.28/4.49 (v90(constB12, 2)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5694, 5693, 5602])).
% 6.28/4.49 tff(5696,plain,
% 6.28/4.49 (((~v90(constB13, 2)) <=> v90(constB12, 2)) | v90(constB13, 2) | (~v90(constB12, 2))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5697,plain,
% 6.28/4.49 (v90(constB13, 2)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5696, 5695, 4154])).
% 6.28/4.49 tff(5698,plain,
% 6.28/4.49 ((((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0))) | (~((~v90(constB13, 0)) <=> v90(constB12, 0)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5699,plain,
% 6.28/4.49 (~((~v90(constB13, 0)) <=> v90(constB12, 0))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5698, 4152])).
% 6.28/4.49 tff(5700,plain,
% 6.28/4.49 ((((~v129(constB12, 2)) <=> v127(constB11, 2)) | ((~v129(constB12, 1)) <=> v127(constB11, 1)) | ((~v129(constB12, 0)) <=> v127(constB11, 0))) | (~((~v129(constB12, 0)) <=> v127(constB11, 0)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5701,plain,
% 6.28/4.49 (~((~v129(constB12, 0)) <=> v127(constB11, 0))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5700, 4161])).
% 6.28/4.49 tff(5702,plain,
% 6.28/4.49 ((((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0))) | (~((~v127(constB11, 0)) <=> v130(constB11, 0)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5703,plain,
% 6.28/4.49 (~((~v127(constB11, 0)) <=> v130(constB11, 0))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5702, 4175])).
% 6.28/4.49 tff(5704,plain,
% 6.28/4.49 ((v130(constB11, 1) | v130(constB11, 0) | (~v130(constB11, 2))) | (~v130(constB11, 0))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5705,plain,
% 6.28/4.49 (~v130(constB11, 0)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5704, 5596])).
% 6.28/4.49 tff(5706,plain,
% 6.28/4.49 (((~v127(constB11, 0)) <=> v130(constB11, 0)) | (~v127(constB11, 0)) | v130(constB11, 0)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5707,plain,
% 6.28/4.49 (~v127(constB11, 0)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5706, 5705, 5703])).
% 6.28/4.49 tff(5708,plain,
% 6.28/4.49 (((~v129(constB12, 0)) <=> v127(constB11, 0)) | (~v129(constB12, 0)) | v127(constB11, 0)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5709,plain,
% 6.28/4.49 (~v129(constB12, 0)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5708, 5707, 5701])).
% 6.28/4.49 tff(5710,plain,
% 6.28/4.49 ((((~v90(constB12, 2)) <=> v129(constB12, 2)) | ((~v90(constB12, 1)) <=> v129(constB12, 1)) | ((~v90(constB12, 0)) <=> v129(constB12, 0))) | (~((~v90(constB12, 0)) <=> v129(constB12, 0)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5711,plain,
% 6.28/4.49 (~((~v90(constB12, 0)) <=> v129(constB12, 0))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5710, 5691])).
% 6.28/4.49 tff(5712,plain,
% 6.28/4.49 (((~v90(constB12, 0)) <=> v129(constB12, 0)) | (~v90(constB12, 0)) | v129(constB12, 0)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5713,plain,
% 6.28/4.49 (~v90(constB12, 0)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5712, 5711, 5709])).
% 6.28/4.49 tff(5714,plain,
% 6.28/4.49 (((~v90(constB13, 0)) <=> v90(constB12, 0)) | (~v90(constB13, 0)) | v90(constB12, 0)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5715,plain,
% 6.28/4.49 (~v90(constB13, 0)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5714, 5713, 5699])).
% 6.28/4.49 tff(5716,plain,
% 6.28/4.49 ((((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0))) | (~((~v90(constB13, 1)) <=> v90(constB12, 1)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5717,plain,
% 6.28/4.49 (~((~v90(constB13, 1)) <=> v90(constB12, 1))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5716, 4152])).
% 6.28/4.49 tff(5718,plain,
% 6.28/4.49 ((((~v129(constB12, 2)) <=> v127(constB11, 2)) | ((~v129(constB12, 1)) <=> v127(constB11, 1)) | ((~v129(constB12, 0)) <=> v127(constB11, 0))) | (~((~v129(constB12, 1)) <=> v127(constB11, 1)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5719,plain,
% 6.28/4.49 (~((~v129(constB12, 1)) <=> v127(constB11, 1))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5718, 4161])).
% 6.28/4.49 tff(5720,plain,
% 6.28/4.49 ((((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0))) | (~((~v127(constB11, 1)) <=> v130(constB11, 1)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5721,plain,
% 6.28/4.49 (~((~v127(constB11, 1)) <=> v130(constB11, 1))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5720, 4175])).
% 6.28/4.49 tff(5722,plain,
% 6.28/4.49 ((v130(constB11, 1) | v130(constB11, 0) | (~v130(constB11, 2))) | (~v130(constB11, 1))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5723,plain,
% 6.28/4.49 (~v130(constB11, 1)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5722, 5596])).
% 6.28/4.49 tff(5724,plain,
% 6.28/4.49 (((~v127(constB11, 1)) <=> v130(constB11, 1)) | (~v127(constB11, 1)) | v130(constB11, 1)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5725,plain,
% 6.28/4.49 (~v127(constB11, 1)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5724, 5723, 5721])).
% 6.28/4.49 tff(5726,plain,
% 6.28/4.49 (((~v129(constB12, 1)) <=> v127(constB11, 1)) | (~v129(constB12, 1)) | v127(constB11, 1)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5727,plain,
% 6.28/4.49 (~v129(constB12, 1)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5726, 5725, 5719])).
% 6.28/4.49 tff(5728,plain,
% 6.28/4.49 ((((~v90(constB12, 2)) <=> v129(constB12, 2)) | ((~v90(constB12, 1)) <=> v129(constB12, 1)) | ((~v90(constB12, 0)) <=> v129(constB12, 0))) | (~((~v90(constB12, 1)) <=> v129(constB12, 1)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5729,plain,
% 6.28/4.49 (~((~v90(constB12, 1)) <=> v129(constB12, 1))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5728, 5691])).
% 6.28/4.49 tff(5730,plain,
% 6.28/4.49 (((~v90(constB12, 1)) <=> v129(constB12, 1)) | (~v90(constB12, 1)) | v129(constB12, 1)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5731,plain,
% 6.28/4.49 (~v90(constB12, 1)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5730, 5729, 5727])).
% 6.28/4.49 tff(5732,plain,
% 6.28/4.49 (((~v90(constB13, 1)) <=> v90(constB12, 1)) | (~v90(constB13, 1)) | v90(constB12, 1)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5733,plain,
% 6.28/4.49 (~v90(constB13, 1)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5732, 5731, 5717])).
% 6.28/4.49 tff(5734,plain,
% 6.28/4.49 ((~(v90(constB13, 1) | v90(constB13, 0) | (~v90(constB13, 2)))) | v90(constB13, 1) | v90(constB13, 0) | (~v90(constB13, 2))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5735,plain,
% 6.28/4.49 (~(v90(constB13, 1) | v90(constB13, 0) | (~v90(constB13, 2)))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5734, 5733, 5715, 5697])).
% 6.28/4.49 tff(5736,plain,
% 6.28/4.49 ((~(v123(constB13) <=> (~(v90(constB13, 1) | v90(constB13, 0) | (~v90(constB13, 2)))))) | v123(constB13) | (v90(constB13, 1) | v90(constB13, 0) | (~v90(constB13, 2)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5737,plain,
% 6.28/4.49 (v123(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5736, 5735, 4118])).
% 6.28/4.49 tff(5738,plain,
% 6.28/4.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB13)) | (~(v130(constB13, 0) | (~v130(constB13, 2)) | (~v130(constB13, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB13)) | (~(v130(constB13, 0) | (~v130(constB13, 2)) | (~v130(constB13, 1)))))),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5739,plain,
% 6.28/4.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB13)) | (~(v130(constB13, 0) | (~v130(constB13, 2)) | (~v130(constB13, 1)))))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5740,plain,
% 6.28/4.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB13)) | (~(v130(constB13, 0) | (~v130(constB13, 2)) | (~v130(constB13, 1))))),
% 6.28/4.49 inference(modus_ponens,[status(thm)],[5739, 5738])).
% 6.28/4.49 tff(5741,plain,
% 6.28/4.49 ((~v123(constB13)) | (~(v130(constB13, 0) | (~v130(constB13, 2)) | (~v130(constB13, 1))))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5740, 4861])).
% 6.28/4.49 tff(5742,plain,
% 6.28/4.49 (~(v130(constB13, 0) | (~v130(constB13, 2)) | (~v130(constB13, 1)))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5741, 5737])).
% 6.28/4.49 tff(5743,plain,
% 6.28/4.49 ((v130(constB13, 0) | (~v130(constB13, 2)) | (~v130(constB13, 1))) | (~v130(constB13, 0))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5744,plain,
% 6.28/4.49 (~v130(constB13, 0)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5743, 5742])).
% 6.28/4.49 tff(5745,plain,
% 6.28/4.49 (((~v127(constB13, 0)) <=> v130(constB13, 0)) | (~v127(constB13, 0)) | v130(constB13, 0)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5746,plain,
% 6.28/4.49 (~v127(constB13, 0)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5745, 5744, 4111])).
% 6.28/4.49 tff(5747,plain,
% 6.28/4.49 (((~v129(constB14, 0)) <=> v127(constB13, 0)) | (~v129(constB14, 0)) | v127(constB13, 0)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5748,plain,
% 6.28/4.49 (~v129(constB14, 0)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5747, 5746, 4097])).
% 6.28/4.49 tff(5749,plain,
% 6.28/4.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))))),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5750,plain,
% 6.28/4.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5751,plain,
% 6.28/4.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14)))))),
% 6.28/4.49 inference(modus_ponens,[status(thm)],[5750, 5749])).
% 6.28/4.49 tff(5752,plain,
% 6.28/4.49 (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5751, 4091, 273])).
% 6.28/4.49 tff(5753,plain,
% 6.28/4.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5754,plain,
% 6.28/4.49 (((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14)))))) <=> ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5755,plain,
% 6.28/4.49 (((~![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) <=> (~((~v1(constB14)) | (~v102(constB14)))))))),
% 6.28/4.49 inference(monotonicity,[status(thm)],[5754])).
% 6.28/4.49 tff(5756,plain,
% 6.28/4.49 (((~![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) <=> (~((~v1(constB14)) | (~v102(constB14))))))),
% 6.28/4.49 inference(transitivity,[status(thm)],[5755, 5753])).
% 6.28/4.49 tff(5757,plain,
% 6.28/4.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14))))))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5758,plain,
% 6.28/4.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14)))))),
% 6.28/4.49 inference(modus_ponens,[status(thm)],[5757, 5756])).
% 6.28/4.49 tff(5759,plain,
% 6.28/4.49 (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5758, 4091, 293])).
% 6.28/4.49 tff(5760,plain,
% 6.28/4.49 (((~![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)))),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5761,plain,
% 6.28/4.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14)))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5762,plain,
% 6.28/4.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14))),
% 6.28/4.49 inference(modus_ponens,[status(thm)],[5761, 5760])).
% 6.28/4.49 tff(5763,plain,
% 6.28/4.49 ((~v102(constB14)) <=> v104(constB14)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5762, 4091, 4609])).
% 6.28/4.49 tff(5764,plain,
% 6.28/4.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13)))),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5765,plain,
% 6.28/4.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13)))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5766,plain,
% 6.28/4.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13))),
% 6.28/4.49 inference(modus_ponens,[status(thm)],[5765, 5764])).
% 6.28/4.49 tff(5767,plain,
% 6.28/4.49 (v104(constB14) <=> v1(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5766, 4091, 4623])).
% 6.28/4.49 tff(5768,plain,
% 6.28/4.49 ((~(v104(constB14) <=> v1(constB13))) | (~v104(constB14)) | v1(constB13)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5769,plain,
% 6.28/4.49 ((~(v104(constB14) <=> v1(constB13))) | (~v104(constB14))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5768, 4135])).
% 6.28/4.49 tff(5770,plain,
% 6.28/4.49 (~v104(constB14)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5769, 5767])).
% 6.28/4.49 tff(5771,plain,
% 6.28/4.49 ((~((~v102(constB14)) <=> v104(constB14))) | v102(constB14) | v104(constB14)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5772,plain,
% 6.28/4.49 (v102(constB14)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5771, 5770, 5763])).
% 6.28/4.49 tff(5773,plain,
% 6.28/4.49 (v1(constB14) <=> v1(constB14)),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5774,axiom,(v1(constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_14')).
% 6.28/4.49 tff(5775,plain,
% 6.28/4.49 (v1(constB14)),
% 6.28/4.49 inference(modus_ponens,[status(thm)],[5774, 5773])).
% 6.28/4.49 tff(5776,plain,
% 6.28/4.49 ((~((~v1(constB14)) | (~v102(constB14)))) | (~v1(constB14)) | (~v102(constB14))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5777,plain,
% 6.28/4.49 ((~((~v1(constB14)) | (~v102(constB14)))) | (~v102(constB14))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5776, 5775])).
% 6.28/4.49 tff(5778,plain,
% 6.28/4.49 (~((~v1(constB14)) | (~v102(constB14)))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5777, 5772])).
% 6.28/4.49 tff(5779,plain,
% 6.28/4.49 ((~(v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14)))))) | v101(constB14) | ((~v1(constB14)) | (~v102(constB14)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5780,plain,
% 6.28/4.49 (v101(constB14)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5779, 5778, 5759])).
% 6.28/4.49 tff(5781,plain,
% 6.28/4.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13)))),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5782,plain,
% 6.28/4.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13)))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5783,plain,
% 6.28/4.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13))),
% 6.28/4.49 inference(modus_ponens,[status(thm)],[5782, 5781])).
% 6.28/4.49 tff(5784,plain,
% 6.28/4.49 (v110(constB14) <=> v108(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5783, 4091, 4650])).
% 6.28/4.49 tff(5785,plain,
% 6.28/4.49 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB13) <=> (v111(constB13) | v112(constB13)))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5786,plain,
% 6.28/4.49 (v108(constB13) <=> (v111(constB13) | v112(constB13))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5785, 4661])).
% 6.28/4.49 tff(5787,plain,
% 6.28/4.49 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13)))))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5788,plain,
% 6.28/4.49 (v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13))))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5787, 4673])).
% 6.28/4.49 tff(5789,plain,
% 6.28/4.49 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB13) <=> (v114(constB13) | v125(constB13)))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5790,plain,
% 6.28/4.49 (v113(constB13) <=> (v114(constB13) | v125(constB13))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5789, 4682])).
% 6.28/4.49 tff(5791,plain,
% 6.28/4.49 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB13) <=> (v115(constB13) | v124(constB13)))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5792,plain,
% 6.28/4.49 (v114(constB13) <=> (v115(constB13) | v124(constB13))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5791, 4691])).
% 6.28/4.49 tff(5793,plain,
% 6.28/4.49 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB13) <=> (v116(constB13) | v123(constB13)))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5794,plain,
% 6.28/4.49 (v115(constB13) <=> (v116(constB13) | v123(constB13))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5793, 4700])).
% 6.28/4.49 tff(5795,plain,
% 6.28/4.49 ((v116(constB13) | v123(constB13)) | (~v123(constB13))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5796,plain,
% 6.28/4.49 (v116(constB13) | v123(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5795, 5737])).
% 6.28/4.49 tff(5797,plain,
% 6.28/4.49 ((~(v115(constB13) <=> (v116(constB13) | v123(constB13)))) | v115(constB13) | (~(v116(constB13) | v123(constB13)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5798,plain,
% 6.28/4.49 (v115(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5797, 5796, 5794])).
% 6.28/4.49 tff(5799,plain,
% 6.28/4.49 ((v115(constB13) | v124(constB13)) | (~v115(constB13))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5800,plain,
% 6.28/4.49 (v115(constB13) | v124(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5799, 5798])).
% 6.28/4.49 tff(5801,plain,
% 6.28/4.49 ((~(v114(constB13) <=> (v115(constB13) | v124(constB13)))) | v114(constB13) | (~(v115(constB13) | v124(constB13)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5802,plain,
% 6.28/4.49 (v114(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5801, 5800, 5792])).
% 6.28/4.49 tff(5803,plain,
% 6.28/4.49 ((v114(constB13) | v125(constB13)) | (~v114(constB13))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5804,plain,
% 6.28/4.49 (v114(constB13) | v125(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5803, 5802])).
% 6.28/4.49 tff(5805,plain,
% 6.28/4.49 ((~(v113(constB13) <=> (v114(constB13) | v125(constB13)))) | v113(constB13) | (~(v114(constB13) | v125(constB13)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5806,plain,
% 6.28/4.49 (v113(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5805, 5804, 5790])).
% 6.28/4.49 tff(5807,plain,
% 6.28/4.49 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB13)) <=> v111(constB13))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5808,plain,
% 6.28/4.49 ((~v126(constB13)) <=> v111(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5807, 4761])).
% 6.28/4.49 tff(5809,plain,
% 6.28/4.49 ((~((~v126(constB13)) <=> v111(constB13))) | v126(constB13) | v111(constB13)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5810,plain,
% 6.28/4.49 ((~((~v126(constB13)) <=> v111(constB13))) | v126(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5809, 4104])).
% 6.28/4.49 tff(5811,plain,
% 6.28/4.49 (v126(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5810, 5808])).
% 6.28/4.49 tff(5812,plain,
% 6.28/4.49 ((~((~v113(constB13)) | (~v126(constB13)))) | (~v113(constB13)) | (~v126(constB13))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5813,plain,
% 6.28/4.49 ((~((~v113(constB13)) | (~v126(constB13)))) | (~v113(constB13))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5812, 5811])).
% 6.28/4.49 tff(5814,plain,
% 6.28/4.49 (~((~v113(constB13)) | (~v126(constB13)))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5813, 5806])).
% 6.28/4.49 tff(5815,plain,
% 6.28/4.49 ((~(v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13)))))) | v112(constB13) | ((~v113(constB13)) | (~v126(constB13)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5816,plain,
% 6.28/4.49 (v112(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5815, 5814, 5788])).
% 6.28/4.49 tff(5817,plain,
% 6.28/4.49 ((v111(constB13) | v112(constB13)) | (~v112(constB13))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5818,plain,
% 6.28/4.49 (v111(constB13) | v112(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5817, 5816])).
% 6.28/4.49 tff(5819,plain,
% 6.28/4.49 ((~(v108(constB13) <=> (v111(constB13) | v112(constB13)))) | v108(constB13) | (~(v111(constB13) | v112(constB13)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5820,plain,
% 6.28/4.49 (v108(constB13)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5819, 5818, 5786])).
% 6.28/4.49 tff(5821,plain,
% 6.28/4.49 ((~(v110(constB14) <=> v108(constB13))) | v110(constB14) | (~v108(constB13))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5822,plain,
% 6.28/4.49 (v110(constB14)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5821, 5820, 5784])).
% 6.28/4.49 tff(5823,plain,
% 6.28/4.49 ((~((~v101(constB14)) | (~v110(constB14)))) | (~v101(constB14)) | (~v110(constB14))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5824,plain,
% 6.28/4.49 (~((~v101(constB14)) | (~v110(constB14)))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5823, 5822, 5780])).
% 6.28/4.49 tff(5825,plain,
% 6.28/4.49 ((~(v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14)))))) | v100(constB14) | ((~v101(constB14)) | (~v110(constB14)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5826,plain,
% 6.28/4.49 (v100(constB14)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5825, 5824, 5752])).
% 6.28/4.49 tff(5827,plain,
% 6.28/4.49 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB14)) | (~(((~v90(constB14, 0)) <=> v129(constB14, 0)) | ((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB14)) | (~(((~v90(constB14, 0)) <=> v129(constB14, 0)) | ((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1)))))),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5828,plain,
% 6.28/4.49 (((~v100(constB14)) | (~(((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1)) | ((~v90(constB14, 0)) <=> v129(constB14, 0))))) <=> ((~v100(constB14)) | (~(((~v90(constB14, 0)) <=> v129(constB14, 0)) | ((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1)))))),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5829,plain,
% 6.28/4.49 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB14)) | (~(((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1)) | ((~v90(constB14, 0)) <=> v129(constB14, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB14)) | (~(((~v90(constB14, 0)) <=> v129(constB14, 0)) | ((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1))))))),
% 6.28/4.49 inference(monotonicity,[status(thm)],[5828])).
% 6.28/4.49 tff(5830,plain,
% 6.28/4.49 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB14)) | (~(((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1)) | ((~v90(constB14, 0)) <=> v129(constB14, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB14)) | (~(((~v90(constB14, 0)) <=> v129(constB14, 0)) | ((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1)))))),
% 6.28/4.49 inference(transitivity,[status(thm)],[5829, 5827])).
% 6.28/4.49 tff(5831,plain,
% 6.28/4.49 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB14)) | (~(((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1)) | ((~v90(constB14, 0)) <=> v129(constB14, 0)))))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5832,plain,
% 6.28/4.49 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB14)) | (~(((~v90(constB14, 0)) <=> v129(constB14, 0)) | ((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1))))),
% 6.28/4.49 inference(modus_ponens,[status(thm)],[5831, 5830])).
% 6.28/4.49 tff(5833,plain,
% 6.28/4.49 ((~v100(constB14)) | (~(((~v90(constB14, 0)) <=> v129(constB14, 0)) | ((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1))))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5832, 4794])).
% 6.28/4.49 tff(5834,plain,
% 6.28/4.49 (~(((~v90(constB14, 0)) <=> v129(constB14, 0)) | ((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1)))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5833, 5826])).
% 6.28/4.49 tff(5835,plain,
% 6.28/4.49 ((((~v90(constB14, 0)) <=> v129(constB14, 0)) | ((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1))) | (~((~v90(constB14, 0)) <=> v129(constB14, 0)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5836,plain,
% 6.28/4.49 (~((~v90(constB14, 0)) <=> v129(constB14, 0))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5835, 5834])).
% 6.28/4.49 tff(5837,plain,
% 6.28/4.49 (((~v90(constB14, 0)) <=> v129(constB14, 0)) | (~v90(constB14, 0)) | v129(constB14, 0)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5838,plain,
% 6.28/4.49 (~v90(constB14, 0)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5837, 5836, 5748])).
% 6.28/4.49 tff(5839,plain,
% 6.28/4.49 (((~v90(constB15, 0)) <=> v90(constB14, 0)) | (~v90(constB15, 0)) | v90(constB14, 0)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5840,plain,
% 6.28/4.49 (~v90(constB15, 0)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5839, 5838, 4088])).
% 6.28/4.49 tff(5841,plain,
% 6.28/4.49 ((v90(constB15, 1) | v90(constB15, 2) | (~v90(constB15, 0))) | v90(constB15, 0)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5842,plain,
% 6.28/4.49 (v90(constB15, 1) | v90(constB15, 2) | (~v90(constB15, 0))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5841, 5840])).
% 6.28/4.49 tff(5843,plain,
% 6.28/4.49 ((~(v120(constB15) <=> (~(v90(constB15, 1) | v90(constB15, 2) | (~v90(constB15, 0)))))) | (~v120(constB15)) | (~(v90(constB15, 1) | v90(constB15, 2) | (~v90(constB15, 0))))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5844,plain,
% 6.28/4.49 (~v120(constB15)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5843, 5842, 4052])).
% 6.28/4.49 tff(5845,plain,
% 6.28/4.49 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB15) <=> (~(v90(constB15, 1) | (~v90(constB15, 2)) | (~v90(constB15, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB15) <=> (~(v90(constB15, 1) | (~v90(constB15, 2)) | (~v90(constB15, 0))))))),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5846,plain,
% 6.28/4.49 ((v124(constB15) <=> (~(v90(constB15, 1) | (~v90(constB15, 0)) | (~v90(constB15, 2))))) <=> (v124(constB15) <=> (~(v90(constB15, 1) | (~v90(constB15, 2)) | (~v90(constB15, 0)))))),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5847,plain,
% 6.28/4.49 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB15) <=> (~(v90(constB15, 1) | (~v90(constB15, 0)) | (~v90(constB15, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB15) <=> (~(v90(constB15, 1) | (~v90(constB15, 2)) | (~v90(constB15, 0))))))),
% 6.28/4.49 inference(monotonicity,[status(thm)],[5846])).
% 6.28/4.49 tff(5848,plain,
% 6.28/4.49 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB15) <=> (~(v90(constB15, 1) | (~v90(constB15, 0)) | (~v90(constB15, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB15) <=> (~(v90(constB15, 1) | (~v90(constB15, 2)) | (~v90(constB15, 0))))))),
% 6.28/4.49 inference(transitivity,[status(thm)],[5847, 5845])).
% 6.28/4.49 tff(5849,plain,
% 6.28/4.49 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB15) <=> (~(v90(constB15, 1) | (~v90(constB15, 0)) | (~v90(constB15, 2)))))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5850,plain,
% 6.28/4.49 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB15) <=> (~(v90(constB15, 1) | (~v90(constB15, 2)) | (~v90(constB15, 0)))))),
% 6.28/4.49 inference(modus_ponens,[status(thm)],[5849, 5848])).
% 6.28/4.49 tff(5851,plain,
% 6.28/4.49 (v124(constB15) <=> (~(v90(constB15, 1) | (~v90(constB15, 2)) | (~v90(constB15, 0))))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5850, 4978])).
% 6.28/4.49 tff(5852,plain,
% 6.28/4.49 ((v90(constB15, 1) | (~v90(constB15, 2)) | (~v90(constB15, 0))) | v90(constB15, 0)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5853,plain,
% 6.28/4.49 (v90(constB15, 1) | (~v90(constB15, 2)) | (~v90(constB15, 0))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5852, 5840])).
% 6.28/4.49 tff(5854,plain,
% 6.28/4.49 ((~(v124(constB15) <=> (~(v90(constB15, 1) | (~v90(constB15, 2)) | (~v90(constB15, 0)))))) | (~v124(constB15)) | (~(v90(constB15, 1) | (~v90(constB15, 2)) | (~v90(constB15, 0))))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5855,plain,
% 6.28/4.49 (~v124(constB15)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5854, 5853, 5851])).
% 6.28/4.49 tff(5856,plain,
% 6.28/4.49 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB15) <=> (~(v90(constB15, 1) | v90(constB15, 0) | (~v90(constB15, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB15) <=> (~(v90(constB15, 1) | v90(constB15, 0) | (~v90(constB15, 2))))))),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5857,plain,
% 6.28/4.49 ((v123(constB15) <=> (~(v90(constB15, 0) | v90(constB15, 1) | (~v90(constB15, 2))))) <=> (v123(constB15) <=> (~(v90(constB15, 1) | v90(constB15, 0) | (~v90(constB15, 2)))))),
% 6.28/4.49 inference(rewrite,[status(thm)],[])).
% 6.28/4.49 tff(5858,plain,
% 6.28/4.49 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB15) <=> (~(v90(constB15, 0) | v90(constB15, 1) | (~v90(constB15, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB15) <=> (~(v90(constB15, 1) | v90(constB15, 0) | (~v90(constB15, 2))))))),
% 6.28/4.49 inference(monotonicity,[status(thm)],[5857])).
% 6.28/4.49 tff(5859,plain,
% 6.28/4.49 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB15) <=> (~(v90(constB15, 0) | v90(constB15, 1) | (~v90(constB15, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB15) <=> (~(v90(constB15, 1) | v90(constB15, 0) | (~v90(constB15, 2))))))),
% 6.28/4.49 inference(transitivity,[status(thm)],[5858, 5856])).
% 6.28/4.49 tff(5860,plain,
% 6.28/4.49 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB15) <=> (~(v90(constB15, 0) | v90(constB15, 1) | (~v90(constB15, 2)))))),
% 6.28/4.49 inference(quant_inst,[status(thm)],[])).
% 6.28/4.49 tff(5861,plain,
% 6.28/4.49 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB15) <=> (~(v90(constB15, 1) | v90(constB15, 0) | (~v90(constB15, 2)))))),
% 6.28/4.49 inference(modus_ponens,[status(thm)],[5860, 5859])).
% 6.28/4.49 tff(5862,plain,
% 6.28/4.49 (v123(constB15) <=> (~(v90(constB15, 1) | v90(constB15, 0) | (~v90(constB15, 2))))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5861, 565])).
% 6.28/4.49 tff(5863,plain,
% 6.28/4.49 ((((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0))) | (~((~v90(constB15, 1)) <=> v90(constB14, 1)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5864,plain,
% 6.28/4.49 (~((~v90(constB15, 1)) <=> v90(constB14, 1))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5863, 4086])).
% 6.28/4.49 tff(5865,plain,
% 6.28/4.49 ((((~v129(constB14, 2)) <=> v127(constB13, 2)) | ((~v129(constB14, 1)) <=> v127(constB13, 1)) | ((~v129(constB14, 0)) <=> v127(constB13, 0))) | (~((~v129(constB14, 1)) <=> v127(constB13, 1)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5866,plain,
% 6.28/4.49 (~((~v129(constB14, 1)) <=> v127(constB13, 1))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5865, 4095])).
% 6.28/4.49 tff(5867,plain,
% 6.28/4.49 ((((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0))) | (~((~v127(constB13, 1)) <=> v130(constB13, 1)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5868,plain,
% 6.28/4.49 (~((~v127(constB13, 1)) <=> v130(constB13, 1))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5867, 4109])).
% 6.28/4.49 tff(5869,plain,
% 6.28/4.49 ((v130(constB13, 0) | (~v130(constB13, 2)) | (~v130(constB13, 1))) | v130(constB13, 1)),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5870,plain,
% 6.28/4.49 (v130(constB13, 1)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5869, 5742])).
% 6.28/4.49 tff(5871,plain,
% 6.28/4.49 (((~v127(constB13, 1)) <=> v130(constB13, 1)) | v127(constB13, 1) | (~v130(constB13, 1))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5872,plain,
% 6.28/4.49 (v127(constB13, 1)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5871, 5870, 5868])).
% 6.28/4.49 tff(5873,plain,
% 6.28/4.49 (((~v129(constB14, 1)) <=> v127(constB13, 1)) | v129(constB14, 1) | (~v127(constB13, 1))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5874,plain,
% 6.28/4.49 (v129(constB14, 1)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5873, 5872, 5866])).
% 6.28/4.49 tff(5875,plain,
% 6.28/4.49 ((((~v90(constB14, 0)) <=> v129(constB14, 0)) | ((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1))) | (~((~v90(constB14, 1)) <=> v129(constB14, 1)))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5876,plain,
% 6.28/4.49 (~((~v90(constB14, 1)) <=> v129(constB14, 1))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5875, 5834])).
% 6.28/4.49 tff(5877,plain,
% 6.28/4.49 (((~v90(constB14, 1)) <=> v129(constB14, 1)) | v90(constB14, 1) | (~v129(constB14, 1))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5878,plain,
% 6.28/4.49 (v90(constB14, 1)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5877, 5876, 5874])).
% 6.28/4.49 tff(5879,plain,
% 6.28/4.49 (((~v90(constB15, 1)) <=> v90(constB14, 1)) | v90(constB15, 1) | (~v90(constB14, 1))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5880,plain,
% 6.28/4.49 (v90(constB15, 1)),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5879, 5878, 5864])).
% 6.28/4.49 tff(5881,plain,
% 6.28/4.49 ((v90(constB15, 1) | v90(constB15, 0) | (~v90(constB15, 2))) | (~v90(constB15, 1))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5882,plain,
% 6.28/4.49 (v90(constB15, 1) | v90(constB15, 0) | (~v90(constB15, 2))),
% 6.28/4.49 inference(unit_resolution,[status(thm)],[5881, 5880])).
% 6.28/4.49 tff(5883,plain,
% 6.28/4.49 ((~(v123(constB15) <=> (~(v90(constB15, 1) | v90(constB15, 0) | (~v90(constB15, 2)))))) | (~v123(constB15)) | (~(v90(constB15, 1) | v90(constB15, 0) | (~v90(constB15, 2))))),
% 6.28/4.49 inference(tautology,[status(thm)],[])).
% 6.28/4.49 tff(5884,plain,
% 6.28/4.50 (~v123(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5883, 5882, 5862])).
% 6.28/4.50 tff(5885,plain,
% 6.28/4.50 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB15) <=> (~(v90(constB15, 2) | (~v90(constB15, 1)) | (~v90(constB15, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB15) <=> (~(v90(constB15, 2) | (~v90(constB15, 1)) | (~v90(constB15, 0))))))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(5886,plain,
% 6.28/4.50 ((v122(constB15) <=> (~(v90(constB15, 2) | (~v90(constB15, 0)) | (~v90(constB15, 1))))) <=> (v122(constB15) <=> (~(v90(constB15, 2) | (~v90(constB15, 1)) | (~v90(constB15, 0)))))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(5887,plain,
% 6.28/4.50 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB15) <=> (~(v90(constB15, 2) | (~v90(constB15, 0)) | (~v90(constB15, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB15) <=> (~(v90(constB15, 2) | (~v90(constB15, 1)) | (~v90(constB15, 0))))))),
% 6.28/4.50 inference(monotonicity,[status(thm)],[5886])).
% 6.28/4.50 tff(5888,plain,
% 6.28/4.50 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB15) <=> (~(v90(constB15, 2) | (~v90(constB15, 0)) | (~v90(constB15, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB15) <=> (~(v90(constB15, 2) | (~v90(constB15, 1)) | (~v90(constB15, 0))))))),
% 6.28/4.50 inference(transitivity,[status(thm)],[5887, 5885])).
% 6.28/4.50 tff(5889,plain,
% 6.28/4.50 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB15) <=> (~(v90(constB15, 2) | (~v90(constB15, 0)) | (~v90(constB15, 1)))))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(5890,plain,
% 6.28/4.50 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB15) <=> (~(v90(constB15, 2) | (~v90(constB15, 1)) | (~v90(constB15, 0)))))),
% 6.28/4.50 inference(modus_ponens,[status(thm)],[5889, 5888])).
% 6.28/4.50 tff(5891,plain,
% 6.28/4.50 (v122(constB15) <=> (~(v90(constB15, 2) | (~v90(constB15, 1)) | (~v90(constB15, 0))))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5890, 644])).
% 6.28/4.50 tff(5892,plain,
% 6.28/4.50 ((v90(constB15, 2) | (~v90(constB15, 1)) | (~v90(constB15, 0))) | v90(constB15, 0)),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5893,plain,
% 6.28/4.50 (v90(constB15, 2) | (~v90(constB15, 1)) | (~v90(constB15, 0))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5892, 5840])).
% 6.28/4.50 tff(5894,plain,
% 6.28/4.50 ((~(v122(constB15) <=> (~(v90(constB15, 2) | (~v90(constB15, 1)) | (~v90(constB15, 0)))))) | (~v122(constB15)) | (~(v90(constB15, 2) | (~v90(constB15, 1)) | (~v90(constB15, 0))))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5895,plain,
% 6.28/4.50 (~v122(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5894, 5893, 5891])).
% 6.28/4.50 tff(5896,plain,
% 6.28/4.50 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB15) <=> (~(v90(constB15, 2) | v90(constB15, 0) | (~v90(constB15, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB15) <=> (~(v90(constB15, 2) | v90(constB15, 0) | (~v90(constB15, 1))))))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(5897,plain,
% 6.28/4.50 ((v121(constB15) <=> (~(v90(constB15, 0) | v90(constB15, 2) | (~v90(constB15, 1))))) <=> (v121(constB15) <=> (~(v90(constB15, 2) | v90(constB15, 0) | (~v90(constB15, 1)))))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(5898,plain,
% 6.28/4.50 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB15) <=> (~(v90(constB15, 0) | v90(constB15, 2) | (~v90(constB15, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB15) <=> (~(v90(constB15, 2) | v90(constB15, 0) | (~v90(constB15, 1))))))),
% 6.28/4.50 inference(monotonicity,[status(thm)],[5897])).
% 6.28/4.50 tff(5899,plain,
% 6.28/4.50 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB15) <=> (~(v90(constB15, 0) | v90(constB15, 2) | (~v90(constB15, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB15) <=> (~(v90(constB15, 2) | v90(constB15, 0) | (~v90(constB15, 1))))))),
% 6.28/4.50 inference(transitivity,[status(thm)],[5898, 5896])).
% 6.28/4.50 tff(5900,plain,
% 6.28/4.50 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB15) <=> (~(v90(constB15, 0) | v90(constB15, 2) | (~v90(constB15, 1)))))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(5901,plain,
% 6.28/4.50 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB15) <=> (~(v90(constB15, 2) | v90(constB15, 0) | (~v90(constB15, 1)))))),
% 6.28/4.50 inference(modus_ponens,[status(thm)],[5900, 5899])).
% 6.28/4.50 tff(5902,plain,
% 6.28/4.50 (v121(constB15) <=> (~(v90(constB15, 2) | v90(constB15, 0) | (~v90(constB15, 1))))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5901, 723])).
% 6.28/4.50 tff(5903,plain,
% 6.28/4.50 ((((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0))) | (~((~v90(constB15, 2)) <=> v90(constB14, 2)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5904,plain,
% 6.28/4.50 (~((~v90(constB15, 2)) <=> v90(constB14, 2))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5903, 4086])).
% 6.28/4.50 tff(5905,plain,
% 6.28/4.50 ((((~v129(constB14, 2)) <=> v127(constB13, 2)) | ((~v129(constB14, 1)) <=> v127(constB13, 1)) | ((~v129(constB14, 0)) <=> v127(constB13, 0))) | (~((~v129(constB14, 2)) <=> v127(constB13, 2)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5906,plain,
% 6.28/4.50 (~((~v129(constB14, 2)) <=> v127(constB13, 2))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5905, 4095])).
% 6.28/4.50 tff(5907,plain,
% 6.28/4.50 ((((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0))) | (~((~v127(constB13, 2)) <=> v130(constB13, 2)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5908,plain,
% 6.28/4.50 (~((~v127(constB13, 2)) <=> v130(constB13, 2))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5907, 4109])).
% 6.28/4.50 tff(5909,plain,
% 6.28/4.50 ((v130(constB13, 0) | (~v130(constB13, 2)) | (~v130(constB13, 1))) | v130(constB13, 2)),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5910,plain,
% 6.28/4.50 (v130(constB13, 2)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5909, 5742])).
% 6.28/4.50 tff(5911,plain,
% 6.28/4.50 (((~v127(constB13, 2)) <=> v130(constB13, 2)) | v127(constB13, 2) | (~v130(constB13, 2))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5912,plain,
% 6.28/4.50 (v127(constB13, 2)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5911, 5910, 5908])).
% 6.28/4.50 tff(5913,plain,
% 6.28/4.50 (((~v129(constB14, 2)) <=> v127(constB13, 2)) | v129(constB14, 2) | (~v127(constB13, 2))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5914,plain,
% 6.28/4.50 (v129(constB14, 2)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5913, 5912, 5906])).
% 6.28/4.50 tff(5915,plain,
% 6.28/4.50 ((((~v90(constB14, 0)) <=> v129(constB14, 0)) | ((~v90(constB14, 2)) <=> v129(constB14, 2)) | ((~v90(constB14, 1)) <=> v129(constB14, 1))) | (~((~v90(constB14, 2)) <=> v129(constB14, 2)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5916,plain,
% 6.28/4.50 (~((~v90(constB14, 2)) <=> v129(constB14, 2))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5915, 5834])).
% 6.28/4.50 tff(5917,plain,
% 6.28/4.50 (((~v90(constB14, 2)) <=> v129(constB14, 2)) | v90(constB14, 2) | (~v129(constB14, 2))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5918,plain,
% 6.28/4.50 (v90(constB14, 2)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5917, 5916, 5914])).
% 6.28/4.50 tff(5919,plain,
% 6.28/4.50 (((~v90(constB15, 2)) <=> v90(constB14, 2)) | v90(constB15, 2) | (~v90(constB14, 2))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5920,plain,
% 6.28/4.50 (v90(constB15, 2)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5919, 5918, 5904])).
% 6.28/4.50 tff(5921,plain,
% 6.28/4.50 ((v90(constB15, 2) | v90(constB15, 0) | (~v90(constB15, 1))) | (~v90(constB15, 2))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5922,plain,
% 6.28/4.50 (v90(constB15, 2) | v90(constB15, 0) | (~v90(constB15, 1))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5921, 5920])).
% 6.28/4.50 tff(5923,plain,
% 6.28/4.50 ((~(v121(constB15) <=> (~(v90(constB15, 2) | v90(constB15, 0) | (~v90(constB15, 1)))))) | (~v121(constB15)) | (~(v90(constB15, 2) | v90(constB15, 0) | (~v90(constB15, 1))))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5924,plain,
% 6.28/4.50 (~v121(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5923, 5922, 5902])).
% 6.28/4.50 tff(5925,plain,
% 6.28/4.50 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB15) <=> (~(v90(constB15, 0) | v90(constB15, 1) | v90(constB15, 2))))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(5926,plain,
% 6.28/4.50 (v119(constB15) <=> (~(v90(constB15, 0) | v90(constB15, 1) | v90(constB15, 2)))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5925, 491])).
% 6.28/4.50 tff(5927,plain,
% 6.28/4.50 ((v90(constB15, 0) | v90(constB15, 1) | v90(constB15, 2)) | (~v90(constB15, 2))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5928,plain,
% 6.28/4.50 (v90(constB15, 0) | v90(constB15, 1) | v90(constB15, 2)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5927, 5920])).
% 6.28/4.50 tff(5929,plain,
% 6.28/4.50 ((~(v119(constB15) <=> (~(v90(constB15, 0) | v90(constB15, 1) | v90(constB15, 2))))) | (~v119(constB15)) | (~(v90(constB15, 0) | v90(constB15, 1) | v90(constB15, 2)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5930,plain,
% 6.28/4.50 (~v119(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5929, 5928, 5926])).
% 6.28/4.50 tff(5931,plain,
% 6.28/4.50 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0)))))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(5932,plain,
% 6.28/4.50 ((v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | (~(v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0))))) <=> (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0)))))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(5933,plain,
% 6.28/4.50 ((~(v130(constB15, 1) | v130(constB15, 2) | (~v130(constB15, 0)))) <=> (~(v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0))))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(5934,plain,
% 6.28/4.50 ((v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | (~(v130(constB15, 1) | v130(constB15, 2) | (~v130(constB15, 0))))) <=> (v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | (~(v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0)))))),
% 6.28/4.50 inference(monotonicity,[status(thm)],[5933])).
% 6.28/4.50 tff(5935,plain,
% 6.28/4.50 ((v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | (~(v130(constB15, 1) | v130(constB15, 2) | (~v130(constB15, 0))))) <=> (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0)))))),
% 6.28/4.50 inference(transitivity,[status(thm)],[5934, 5932])).
% 6.28/4.50 tff(5936,plain,
% 6.28/4.50 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | (~(v130(constB15, 1) | v130(constB15, 2) | (~v130(constB15, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0))))))),
% 6.28/4.50 inference(monotonicity,[status(thm)],[5935])).
% 6.28/4.50 tff(5937,plain,
% 6.28/4.50 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | (~(v130(constB15, 1) | v130(constB15, 2) | (~v130(constB15, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0)))))),
% 6.28/4.50 inference(transitivity,[status(thm)],[5936, 5931])).
% 6.28/4.50 tff(5938,plain,
% 6.28/4.50 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | (~(v130(constB15, 1) | v130(constB15, 2) | (~v130(constB15, 0)))))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(5939,plain,
% 6.28/4.50 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0))))),
% 6.28/4.50 inference(modus_ponens,[status(thm)],[5938, 5937])).
% 6.28/4.50 tff(5940,plain,
% 6.28/4.50 (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0))))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5939, 5059])).
% 6.28/4.50 tff(5941,plain,
% 6.28/4.50 (~(v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0)))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5940, 5930, 5924, 5895, 5884, 5855, 5844])).
% 6.28/4.50 tff(5942,plain,
% 6.28/4.50 ((v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0))) | (~v130(constB15, 2))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5943,plain,
% 6.28/4.50 (~v130(constB15, 2)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5942, 5941])).
% 6.28/4.50 tff(5944,plain,
% 6.28/4.50 (((~v127(constB15, 2)) <=> v130(constB15, 2)) | (~v127(constB15, 2)) | v130(constB15, 2)),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5945,plain,
% 6.28/4.50 (~v127(constB15, 2)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5944, 5943, 4050])).
% 6.28/4.50 tff(5946,plain,
% 6.28/4.50 (((~v129(constB16, 2)) <=> v127(constB15, 2)) | (~v129(constB16, 2)) | v127(constB15, 2)),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5947,plain,
% 6.28/4.50 (~v129(constB16, 2)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5946, 5945, 4036])).
% 6.28/4.50 tff(5948,plain,
% 6.28/4.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(5949,plain,
% 6.28/4.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(5950,plain,
% 6.28/4.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16)))))),
% 6.28/4.50 inference(modus_ponens,[status(thm)],[5949, 5948])).
% 6.28/4.50 tff(5951,plain,
% 6.28/4.50 (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5950, 4030, 273])).
% 6.28/4.50 tff(5952,plain,
% 6.28/4.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(5953,plain,
% 6.28/4.50 (((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16)))))) <=> ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(5954,plain,
% 6.28/4.50 (((~![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) <=> (~((~v1(constB16)) | (~v102(constB16)))))))),
% 6.28/4.50 inference(monotonicity,[status(thm)],[5953])).
% 6.28/4.50 tff(5955,plain,
% 6.28/4.50 (((~![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) <=> (~((~v1(constB16)) | (~v102(constB16))))))),
% 6.28/4.50 inference(transitivity,[status(thm)],[5954, 5952])).
% 6.28/4.50 tff(5956,plain,
% 6.28/4.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16))))))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(5957,plain,
% 6.28/4.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16)))))),
% 6.28/4.50 inference(modus_ponens,[status(thm)],[5956, 5955])).
% 6.28/4.50 tff(5958,plain,
% 6.28/4.50 (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5957, 4030, 293])).
% 6.28/4.50 tff(5959,plain,
% 6.28/4.50 (((~![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)))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(5960,plain,
% 6.28/4.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16)))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(5961,plain,
% 6.28/4.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16))),
% 6.28/4.50 inference(modus_ponens,[status(thm)],[5960, 5959])).
% 6.28/4.50 tff(5962,plain,
% 6.28/4.50 ((~v102(constB16)) <=> v104(constB16)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5961, 4030, 4609])).
% 6.28/4.50 tff(5963,plain,
% 6.28/4.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15)))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(5964,plain,
% 6.28/4.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15)))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(5965,plain,
% 6.28/4.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15))),
% 6.28/4.50 inference(modus_ponens,[status(thm)],[5964, 5963])).
% 6.28/4.50 tff(5966,plain,
% 6.28/4.50 (v104(constB16) <=> v1(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5965, 4030, 4623])).
% 6.28/4.50 tff(5967,plain,
% 6.28/4.50 ((~(v104(constB16) <=> v1(constB15))) | (~v104(constB16)) | v1(constB15)),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5968,plain,
% 6.28/4.50 ((~(v104(constB16) <=> v1(constB15))) | (~v104(constB16))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5967, 4069])).
% 6.28/4.50 tff(5969,plain,
% 6.28/4.50 (~v104(constB16)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5968, 5966])).
% 6.28/4.50 tff(5970,plain,
% 6.28/4.50 ((~((~v102(constB16)) <=> v104(constB16))) | v102(constB16) | v104(constB16)),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5971,plain,
% 6.28/4.50 (v102(constB16)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5970, 5969, 5962])).
% 6.28/4.50 tff(5972,plain,
% 6.28/4.50 (v1(constB16) <=> v1(constB16)),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(5973,axiom,(v1(constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_16')).
% 6.28/4.50 tff(5974,plain,
% 6.28/4.50 (v1(constB16)),
% 6.28/4.50 inference(modus_ponens,[status(thm)],[5973, 5972])).
% 6.28/4.50 tff(5975,plain,
% 6.28/4.50 ((~((~v1(constB16)) | (~v102(constB16)))) | (~v1(constB16)) | (~v102(constB16))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5976,plain,
% 6.28/4.50 ((~((~v1(constB16)) | (~v102(constB16)))) | (~v102(constB16))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5975, 5974])).
% 6.28/4.50 tff(5977,plain,
% 6.28/4.50 (~((~v1(constB16)) | (~v102(constB16)))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5976, 5971])).
% 6.28/4.50 tff(5978,plain,
% 6.28/4.50 ((~(v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16)))))) | v101(constB16) | ((~v1(constB16)) | (~v102(constB16)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5979,plain,
% 6.28/4.50 (v101(constB16)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5978, 5977, 5958])).
% 6.28/4.50 tff(5980,plain,
% 6.28/4.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15)))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(5981,plain,
% 6.28/4.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15)))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(5982,plain,
% 6.28/4.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15))),
% 6.28/4.50 inference(modus_ponens,[status(thm)],[5981, 5980])).
% 6.28/4.50 tff(5983,plain,
% 6.28/4.50 (v110(constB16) <=> v108(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5982, 4030, 4650])).
% 6.28/4.50 tff(5984,plain,
% 6.28/4.50 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB15) <=> (v111(constB15) | v112(constB15)))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(5985,plain,
% 6.28/4.50 (v108(constB15) <=> (v111(constB15) | v112(constB15))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5984, 4661])).
% 6.28/4.50 tff(5986,plain,
% 6.28/4.50 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15)))))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(5987,plain,
% 6.28/4.50 (v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15))))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5986, 4673])).
% 6.28/4.50 tff(5988,plain,
% 6.28/4.50 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB15) <=> (v114(constB15) | v125(constB15)))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(5989,plain,
% 6.28/4.50 (v113(constB15) <=> (v114(constB15) | v125(constB15))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5988, 4682])).
% 6.28/4.50 tff(5990,plain,
% 6.28/4.50 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB15) <=> (~(v90(constB15, 0) | (~v90(constB15, 1)) | (~v90(constB15, 2)))))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(5991,plain,
% 6.28/4.50 (v125(constB15) <=> (~(v90(constB15, 0) | (~v90(constB15, 1)) | (~v90(constB15, 2))))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5990, 5131])).
% 6.28/4.50 tff(5992,plain,
% 6.28/4.50 ((~(v90(constB15, 0) | (~v90(constB15, 1)) | (~v90(constB15, 2)))) | v90(constB15, 0) | (~v90(constB15, 1)) | (~v90(constB15, 2))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5993,plain,
% 6.28/4.50 (~(v90(constB15, 0) | (~v90(constB15, 1)) | (~v90(constB15, 2)))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5992, 5880, 5840, 5920])).
% 6.28/4.50 tff(5994,plain,
% 6.28/4.50 ((~(v125(constB15) <=> (~(v90(constB15, 0) | (~v90(constB15, 1)) | (~v90(constB15, 2)))))) | v125(constB15) | (v90(constB15, 0) | (~v90(constB15, 1)) | (~v90(constB15, 2)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5995,plain,
% 6.28/4.50 (v125(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5994, 5993, 5991])).
% 6.28/4.50 tff(5996,plain,
% 6.28/4.50 ((v114(constB15) | v125(constB15)) | (~v125(constB15))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5997,plain,
% 6.28/4.50 (v114(constB15) | v125(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5996, 5995])).
% 6.28/4.50 tff(5998,plain,
% 6.28/4.50 ((~(v113(constB15) <=> (v114(constB15) | v125(constB15)))) | v113(constB15) | (~(v114(constB15) | v125(constB15)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(5999,plain,
% 6.28/4.50 (v113(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[5998, 5997, 5989])).
% 6.28/4.50 tff(6000,plain,
% 6.28/4.50 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB15)) <=> v111(constB15))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(6001,plain,
% 6.28/4.50 ((~v126(constB15)) <=> v111(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6000, 4761])).
% 6.28/4.50 tff(6002,plain,
% 6.28/4.50 ((~((~v126(constB15)) <=> v111(constB15))) | v126(constB15) | v111(constB15)),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6003,plain,
% 6.28/4.50 ((~((~v126(constB15)) <=> v111(constB15))) | v126(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6002, 4043])).
% 6.28/4.50 tff(6004,plain,
% 6.28/4.50 (v126(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6003, 6001])).
% 6.28/4.50 tff(6005,plain,
% 6.28/4.50 ((~((~v113(constB15)) | (~v126(constB15)))) | (~v113(constB15)) | (~v126(constB15))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6006,plain,
% 6.28/4.50 ((~((~v113(constB15)) | (~v126(constB15)))) | (~v113(constB15))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6005, 6004])).
% 6.28/4.50 tff(6007,plain,
% 6.28/4.50 (~((~v113(constB15)) | (~v126(constB15)))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6006, 5999])).
% 6.28/4.50 tff(6008,plain,
% 6.28/4.50 ((~(v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15)))))) | v112(constB15) | ((~v113(constB15)) | (~v126(constB15)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6009,plain,
% 6.28/4.50 (v112(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6008, 6007, 5987])).
% 6.28/4.50 tff(6010,plain,
% 6.28/4.50 ((v111(constB15) | v112(constB15)) | (~v112(constB15))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6011,plain,
% 6.28/4.50 (v111(constB15) | v112(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6010, 6009])).
% 6.28/4.50 tff(6012,plain,
% 6.28/4.50 ((~(v108(constB15) <=> (v111(constB15) | v112(constB15)))) | v108(constB15) | (~(v111(constB15) | v112(constB15)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6013,plain,
% 6.28/4.50 (v108(constB15)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6012, 6011, 5985])).
% 6.28/4.50 tff(6014,plain,
% 6.28/4.50 ((~(v110(constB16) <=> v108(constB15))) | v110(constB16) | (~v108(constB15))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6015,plain,
% 6.28/4.50 (v110(constB16)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6014, 6013, 5983])).
% 6.28/4.50 tff(6016,plain,
% 6.28/4.50 ((~((~v101(constB16)) | (~v110(constB16)))) | (~v101(constB16)) | (~v110(constB16))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6017,plain,
% 6.28/4.50 (~((~v101(constB16)) | (~v110(constB16)))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6016, 6015, 5979])).
% 6.28/4.50 tff(6018,plain,
% 6.28/4.50 ((~(v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16)))))) | v100(constB16) | ((~v101(constB16)) | (~v110(constB16)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6019,plain,
% 6.28/4.50 (v100(constB16)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6018, 6017, 5951])).
% 6.28/4.50 tff(6020,plain,
% 6.28/4.50 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB16)) | (~(((~v90(constB16, 2)) <=> v129(constB16, 2)) | ((~v90(constB16, 1)) <=> v129(constB16, 1)) | ((~v90(constB16, 0)) <=> v129(constB16, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB16)) | (~(((~v90(constB16, 2)) <=> v129(constB16, 2)) | ((~v90(constB16, 1)) <=> v129(constB16, 1)) | ((~v90(constB16, 0)) <=> v129(constB16, 0)))))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(6021,plain,
% 6.28/4.50 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB16)) | (~(((~v90(constB16, 2)) <=> v129(constB16, 2)) | ((~v90(constB16, 1)) <=> v129(constB16, 1)) | ((~v90(constB16, 0)) <=> v129(constB16, 0)))))),
% 6.28/4.50 inference(quant_inst,[status(thm)],[])).
% 6.28/4.50 tff(6022,plain,
% 6.28/4.50 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB16)) | (~(((~v90(constB16, 2)) <=> v129(constB16, 2)) | ((~v90(constB16, 1)) <=> v129(constB16, 1)) | ((~v90(constB16, 0)) <=> v129(constB16, 0))))),
% 6.28/4.50 inference(modus_ponens,[status(thm)],[6021, 6020])).
% 6.28/4.50 tff(6023,plain,
% 6.28/4.50 ((~v100(constB16)) | (~(((~v90(constB16, 2)) <=> v129(constB16, 2)) | ((~v90(constB16, 1)) <=> v129(constB16, 1)) | ((~v90(constB16, 0)) <=> v129(constB16, 0))))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6022, 4794])).
% 6.28/4.50 tff(6024,plain,
% 6.28/4.50 (~(((~v90(constB16, 2)) <=> v129(constB16, 2)) | ((~v90(constB16, 1)) <=> v129(constB16, 1)) | ((~v90(constB16, 0)) <=> v129(constB16, 0)))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6023, 6019])).
% 6.28/4.50 tff(6025,plain,
% 6.28/4.50 ((((~v90(constB16, 2)) <=> v129(constB16, 2)) | ((~v90(constB16, 1)) <=> v129(constB16, 1)) | ((~v90(constB16, 0)) <=> v129(constB16, 0))) | (~((~v90(constB16, 2)) <=> v129(constB16, 2)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6026,plain,
% 6.28/4.50 (~((~v90(constB16, 2)) <=> v129(constB16, 2))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6025, 6024])).
% 6.28/4.50 tff(6027,plain,
% 6.28/4.50 (((~v90(constB16, 2)) <=> v129(constB16, 2)) | (~v90(constB16, 2)) | v129(constB16, 2)),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6028,plain,
% 6.28/4.50 (~v90(constB16, 2)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6027, 6026, 5947])).
% 6.28/4.50 tff(6029,plain,
% 6.28/4.50 (((~v90(constB17, 2)) <=> v90(constB16, 2)) | (~v90(constB17, 2)) | v90(constB16, 2)),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6030,plain,
% 6.28/4.50 (~v90(constB17, 2)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6029, 6028, 4027])).
% 6.28/4.50 tff(6031,plain,
% 6.28/4.50 ((((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0))) | (~((~v90(constB17, 0)) <=> v90(constB16, 0)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6032,plain,
% 6.28/4.50 (~((~v90(constB17, 0)) <=> v90(constB16, 0))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6031, 4025])).
% 6.28/4.50 tff(6033,plain,
% 6.28/4.50 ((((~v129(constB16, 2)) <=> v127(constB15, 2)) | ((~v129(constB16, 1)) <=> v127(constB15, 1)) | ((~v129(constB16, 0)) <=> v127(constB15, 0))) | (~((~v129(constB16, 0)) <=> v127(constB15, 0)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6034,plain,
% 6.28/4.50 (~((~v129(constB16, 0)) <=> v127(constB15, 0))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6033, 4034])).
% 6.28/4.50 tff(6035,plain,
% 6.28/4.50 ((((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0))) | (~((~v127(constB15, 0)) <=> v130(constB15, 0)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6036,plain,
% 6.28/4.50 (~((~v127(constB15, 0)) <=> v130(constB15, 0))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6035, 4048])).
% 6.28/4.50 tff(6037,plain,
% 6.28/4.50 ((v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0))) | v130(constB15, 0)),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6038,plain,
% 6.28/4.50 (v130(constB15, 0)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6037, 5941])).
% 6.28/4.50 tff(6039,plain,
% 6.28/4.50 (((~v127(constB15, 0)) <=> v130(constB15, 0)) | v127(constB15, 0) | (~v130(constB15, 0))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6040,plain,
% 6.28/4.50 (v127(constB15, 0)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6039, 6038, 6036])).
% 6.28/4.50 tff(6041,plain,
% 6.28/4.50 (((~v129(constB16, 0)) <=> v127(constB15, 0)) | v129(constB16, 0) | (~v127(constB15, 0))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6042,plain,
% 6.28/4.50 (v129(constB16, 0)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6041, 6040, 6034])).
% 6.28/4.50 tff(6043,plain,
% 6.28/4.50 ((((~v90(constB16, 2)) <=> v129(constB16, 2)) | ((~v90(constB16, 1)) <=> v129(constB16, 1)) | ((~v90(constB16, 0)) <=> v129(constB16, 0))) | (~((~v90(constB16, 0)) <=> v129(constB16, 0)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6044,plain,
% 6.28/4.50 (~((~v90(constB16, 0)) <=> v129(constB16, 0))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6043, 6024])).
% 6.28/4.50 tff(6045,plain,
% 6.28/4.50 (((~v90(constB16, 0)) <=> v129(constB16, 0)) | v90(constB16, 0) | (~v129(constB16, 0))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6046,plain,
% 6.28/4.50 (v90(constB16, 0)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6045, 6044, 6042])).
% 6.28/4.50 tff(6047,plain,
% 6.28/4.50 (((~v90(constB17, 0)) <=> v90(constB16, 0)) | v90(constB17, 0) | (~v90(constB16, 0))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6048,plain,
% 6.28/4.50 (v90(constB17, 0)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6047, 6046, 6032])).
% 6.28/4.50 tff(6049,plain,
% 6.28/4.50 ((((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0))) | (~((~v90(constB17, 1)) <=> v90(constB16, 1)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6050,plain,
% 6.28/4.50 (~((~v90(constB17, 1)) <=> v90(constB16, 1))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6049, 4025])).
% 6.28/4.50 tff(6051,plain,
% 6.28/4.50 ((((~v129(constB16, 2)) <=> v127(constB15, 2)) | ((~v129(constB16, 1)) <=> v127(constB15, 1)) | ((~v129(constB16, 0)) <=> v127(constB15, 0))) | (~((~v129(constB16, 1)) <=> v127(constB15, 1)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6052,plain,
% 6.28/4.50 (~((~v129(constB16, 1)) <=> v127(constB15, 1))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6051, 4034])).
% 6.28/4.50 tff(6053,plain,
% 6.28/4.50 ((((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0))) | (~((~v127(constB15, 1)) <=> v130(constB15, 1)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6054,plain,
% 6.28/4.50 (~((~v127(constB15, 1)) <=> v130(constB15, 1))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6053, 4048])).
% 6.28/4.50 tff(6055,plain,
% 6.28/4.50 ((v130(constB15, 2) | v130(constB15, 1) | (~v130(constB15, 0))) | (~v130(constB15, 1))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6056,plain,
% 6.28/4.50 (~v130(constB15, 1)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6055, 5941])).
% 6.28/4.50 tff(6057,plain,
% 6.28/4.50 (((~v127(constB15, 1)) <=> v130(constB15, 1)) | (~v127(constB15, 1)) | v130(constB15, 1)),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6058,plain,
% 6.28/4.50 (~v127(constB15, 1)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6057, 6056, 6054])).
% 6.28/4.50 tff(6059,plain,
% 6.28/4.50 (((~v129(constB16, 1)) <=> v127(constB15, 1)) | (~v129(constB16, 1)) | v127(constB15, 1)),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6060,plain,
% 6.28/4.50 (~v129(constB16, 1)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6059, 6058, 6052])).
% 6.28/4.50 tff(6061,plain,
% 6.28/4.50 ((((~v90(constB16, 2)) <=> v129(constB16, 2)) | ((~v90(constB16, 1)) <=> v129(constB16, 1)) | ((~v90(constB16, 0)) <=> v129(constB16, 0))) | (~((~v90(constB16, 1)) <=> v129(constB16, 1)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6062,plain,
% 6.28/4.50 (~((~v90(constB16, 1)) <=> v129(constB16, 1))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6061, 6024])).
% 6.28/4.50 tff(6063,plain,
% 6.28/4.50 (((~v90(constB16, 1)) <=> v129(constB16, 1)) | (~v90(constB16, 1)) | v129(constB16, 1)),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6064,plain,
% 6.28/4.50 (~v90(constB16, 1)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6063, 6062, 6060])).
% 6.28/4.50 tff(6065,plain,
% 6.28/4.50 (((~v90(constB17, 1)) <=> v90(constB16, 1)) | (~v90(constB17, 1)) | v90(constB16, 1)),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6066,plain,
% 6.28/4.50 (~v90(constB17, 1)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6065, 6064, 6050])).
% 6.28/4.50 tff(6067,plain,
% 6.28/4.50 ((~(v90(constB17, 1) | v90(constB17, 2) | (~v90(constB17, 0)))) | v90(constB17, 1) | v90(constB17, 2) | (~v90(constB17, 0))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6068,plain,
% 6.28/4.50 (~(v90(constB17, 1) | v90(constB17, 2) | (~v90(constB17, 0)))),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6067, 6066, 6048, 6030])).
% 6.28/4.50 tff(6069,plain,
% 6.28/4.50 ((~(v120(constB17) <=> (~(v90(constB17, 1) | v90(constB17, 2) | (~v90(constB17, 0)))))) | v120(constB17) | (v90(constB17, 1) | v90(constB17, 2) | (~v90(constB17, 0)))),
% 6.28/4.50 inference(tautology,[status(thm)],[])).
% 6.28/4.50 tff(6070,plain,
% 6.28/4.50 (v120(constB17)),
% 6.28/4.50 inference(unit_resolution,[status(thm)],[6069, 6068, 3991])).
% 6.28/4.50 tff(6071,plain,
% 6.28/4.50 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB17)) | (~(v130(constB17, 2) | v130(constB17, 0) | (~v130(constB17, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB17)) | (~(v130(constB17, 2) | v130(constB17, 0) | (~v130(constB17, 1)))))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(6072,plain,
% 6.28/4.50 (((~v120(constB17)) | (~(v130(constB17, 0) | v130(constB17, 2) | (~v130(constB17, 1))))) <=> ((~v120(constB17)) | (~(v130(constB17, 2) | v130(constB17, 0) | (~v130(constB17, 1)))))),
% 6.28/4.50 inference(rewrite,[status(thm)],[])).
% 6.28/4.50 tff(6073,plain,
% 6.28/4.50 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB17)) | (~(v130(constB17, 0) | v130(constB17, 2) | (~v130(constB17, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB17)) | (~(v130(constB17, 2) | v130(constB17, 0) | (~v130(constB17, 1))))))),
% 6.28/4.50 inference(monotonicity,[status(thm)],[6072])).
% 6.28/4.51 tff(6074,plain,
% 6.28/4.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB17)) | (~(v130(constB17, 0) | v130(constB17, 2) | (~v130(constB17, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB17)) | (~(v130(constB17, 2) | v130(constB17, 0) | (~v130(constB17, 1)))))),
% 6.28/4.51 inference(transitivity,[status(thm)],[6073, 6071])).
% 6.28/4.51 tff(6075,plain,
% 6.28/4.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB17)) | (~(v130(constB17, 0) | v130(constB17, 2) | (~v130(constB17, 1)))))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6076,plain,
% 6.28/4.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB17)) | (~(v130(constB17, 2) | v130(constB17, 0) | (~v130(constB17, 1))))),
% 6.28/4.51 inference(modus_ponens,[status(thm)],[6075, 6074])).
% 6.28/4.51 tff(6077,plain,
% 6.28/4.51 ((~v120(constB17)) | (~(v130(constB17, 2) | v130(constB17, 0) | (~v130(constB17, 1))))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6076, 5246])).
% 6.28/4.51 tff(6078,plain,
% 6.28/4.51 (~(v130(constB17, 2) | v130(constB17, 0) | (~v130(constB17, 1)))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6077, 6070])).
% 6.28/4.51 tff(6079,plain,
% 6.28/4.51 ((v130(constB17, 2) | v130(constB17, 0) | (~v130(constB17, 1))) | (~v130(constB17, 2))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6080,plain,
% 6.28/4.51 (~v130(constB17, 2)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6079, 6078])).
% 6.28/4.51 tff(6081,plain,
% 6.28/4.51 (((~v127(constB17, 2)) <=> v130(constB17, 2)) | (~v127(constB17, 2)) | v130(constB17, 2)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6082,plain,
% 6.28/4.51 (~v127(constB17, 2)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6081, 6080, 3989])).
% 6.28/4.51 tff(6083,plain,
% 6.28/4.51 (((~v129(constB18, 2)) <=> v127(constB17, 2)) | (~v129(constB18, 2)) | v127(constB17, 2)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6084,plain,
% 6.28/4.51 (~v129(constB18, 2)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6083, 6082, 3975])).
% 6.28/4.51 tff(6085,plain,
% 6.28/4.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6086,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6087,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18)))))),
% 6.28/4.51 inference(modus_ponens,[status(thm)],[6086, 6085])).
% 6.28/4.51 tff(6088,plain,
% 6.28/4.51 (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6087, 3969, 273])).
% 6.28/4.51 tff(6089,plain,
% 6.28/4.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6090,plain,
% 6.28/4.51 (((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18)))))) <=> ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6091,plain,
% 6.28/4.51 (((~![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) <=> (~((~v1(constB18)) | (~v102(constB18)))))))),
% 6.28/4.51 inference(monotonicity,[status(thm)],[6090])).
% 6.28/4.51 tff(6092,plain,
% 6.28/4.51 (((~![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) <=> (~((~v1(constB18)) | (~v102(constB18))))))),
% 6.28/4.51 inference(transitivity,[status(thm)],[6091, 6089])).
% 6.28/4.51 tff(6093,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18))))))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6094,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18)))))),
% 6.28/4.51 inference(modus_ponens,[status(thm)],[6093, 6092])).
% 6.28/4.51 tff(6095,plain,
% 6.28/4.51 (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6094, 3969, 293])).
% 6.28/4.51 tff(6096,plain,
% 6.28/4.51 (((~![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)))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6097,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18)))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6098,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18))),
% 6.28/4.51 inference(modus_ponens,[status(thm)],[6097, 6096])).
% 6.28/4.51 tff(6099,plain,
% 6.28/4.51 ((~v102(constB18)) <=> v104(constB18)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6098, 3969, 4609])).
% 6.28/4.51 tff(6100,plain,
% 6.28/4.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17)))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6101,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17)))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6102,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17))),
% 6.28/4.51 inference(modus_ponens,[status(thm)],[6101, 6100])).
% 6.28/4.51 tff(6103,plain,
% 6.28/4.51 (v104(constB18) <=> v1(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6102, 3969, 4623])).
% 6.28/4.51 tff(6104,plain,
% 6.28/4.51 ((~(v104(constB18) <=> v1(constB17))) | (~v104(constB18)) | v1(constB17)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6105,plain,
% 6.28/4.51 ((~(v104(constB18) <=> v1(constB17))) | (~v104(constB18))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6104, 4008])).
% 6.28/4.51 tff(6106,plain,
% 6.28/4.51 (~v104(constB18)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6105, 6103])).
% 6.28/4.51 tff(6107,plain,
% 6.28/4.51 ((~((~v102(constB18)) <=> v104(constB18))) | v102(constB18) | v104(constB18)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6108,plain,
% 6.28/4.51 (v102(constB18)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6107, 6106, 6099])).
% 6.28/4.51 tff(6109,plain,
% 6.28/4.51 (v1(constB18) <=> v1(constB18)),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6110,axiom,(v1(constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_18')).
% 6.28/4.51 tff(6111,plain,
% 6.28/4.51 (v1(constB18)),
% 6.28/4.51 inference(modus_ponens,[status(thm)],[6110, 6109])).
% 6.28/4.51 tff(6112,plain,
% 6.28/4.51 ((~((~v1(constB18)) | (~v102(constB18)))) | (~v1(constB18)) | (~v102(constB18))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6113,plain,
% 6.28/4.51 ((~((~v1(constB18)) | (~v102(constB18)))) | (~v102(constB18))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6112, 6111])).
% 6.28/4.51 tff(6114,plain,
% 6.28/4.51 (~((~v1(constB18)) | (~v102(constB18)))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6113, 6108])).
% 6.28/4.51 tff(6115,plain,
% 6.28/4.51 ((~(v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18)))))) | v101(constB18) | ((~v1(constB18)) | (~v102(constB18)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6116,plain,
% 6.28/4.51 (v101(constB18)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6115, 6114, 6095])).
% 6.28/4.51 tff(6117,plain,
% 6.28/4.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17)))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6118,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17)))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6119,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17))),
% 6.28/4.51 inference(modus_ponens,[status(thm)],[6118, 6117])).
% 6.28/4.51 tff(6120,plain,
% 6.28/4.51 (v110(constB18) <=> v108(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6119, 3969, 4650])).
% 6.28/4.51 tff(6121,plain,
% 6.28/4.51 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB17) <=> (v111(constB17) | v112(constB17)))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6122,plain,
% 6.28/4.51 (v108(constB17) <=> (v111(constB17) | v112(constB17))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6121, 4661])).
% 6.28/4.51 tff(6123,plain,
% 6.28/4.51 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17)))))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6124,plain,
% 6.28/4.51 (v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17))))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6123, 4673])).
% 6.28/4.51 tff(6125,plain,
% 6.28/4.51 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB17) <=> (v114(constB17) | v125(constB17)))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6126,plain,
% 6.28/4.51 (v113(constB17) <=> (v114(constB17) | v125(constB17))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6125, 4682])).
% 6.28/4.51 tff(6127,plain,
% 6.28/4.51 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB17) <=> (v115(constB17) | v124(constB17)))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6128,plain,
% 6.28/4.51 (v114(constB17) <=> (v115(constB17) | v124(constB17))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6127, 4691])).
% 6.28/4.51 tff(6129,plain,
% 6.28/4.51 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB17) <=> (v116(constB17) | v123(constB17)))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6130,plain,
% 6.28/4.51 (v115(constB17) <=> (v116(constB17) | v123(constB17))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6129, 4700])).
% 6.28/4.51 tff(6131,plain,
% 6.28/4.51 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB17) <=> (v117(constB17) | v122(constB17)))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6132,plain,
% 6.28/4.51 (v116(constB17) <=> (v117(constB17) | v122(constB17))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6131, 4709])).
% 6.28/4.51 tff(6133,plain,
% 6.28/4.51 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB17) <=> (v118(constB17) | v121(constB17)))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6134,plain,
% 6.28/4.51 (v117(constB17) <=> (v118(constB17) | v121(constB17))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6133, 4718])).
% 6.28/4.51 tff(6135,plain,
% 6.28/4.51 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB17) <=> (v119(constB17) | v120(constB17)))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6136,plain,
% 6.28/4.51 (v118(constB17) <=> (v119(constB17) | v120(constB17))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6135, 4727])).
% 6.28/4.51 tff(6137,plain,
% 6.28/4.51 ((v119(constB17) | v120(constB17)) | (~v120(constB17))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6138,plain,
% 6.28/4.51 (v119(constB17) | v120(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6137, 6070])).
% 6.28/4.51 tff(6139,plain,
% 6.28/4.51 ((~(v118(constB17) <=> (v119(constB17) | v120(constB17)))) | v118(constB17) | (~(v119(constB17) | v120(constB17)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6140,plain,
% 6.28/4.51 (v118(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6139, 6138, 6136])).
% 6.28/4.51 tff(6141,plain,
% 6.28/4.51 ((v118(constB17) | v121(constB17)) | (~v118(constB17))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6142,plain,
% 6.28/4.51 (v118(constB17) | v121(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6141, 6140])).
% 6.28/4.51 tff(6143,plain,
% 6.28/4.51 ((~(v117(constB17) <=> (v118(constB17) | v121(constB17)))) | v117(constB17) | (~(v118(constB17) | v121(constB17)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6144,plain,
% 6.28/4.51 (v117(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6143, 6142, 6134])).
% 6.28/4.51 tff(6145,plain,
% 6.28/4.51 ((v117(constB17) | v122(constB17)) | (~v117(constB17))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6146,plain,
% 6.28/4.51 (v117(constB17) | v122(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6145, 6144])).
% 6.28/4.51 tff(6147,plain,
% 6.28/4.51 ((~(v116(constB17) <=> (v117(constB17) | v122(constB17)))) | v116(constB17) | (~(v117(constB17) | v122(constB17)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6148,plain,
% 6.28/4.51 (v116(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6147, 6146, 6132])).
% 6.28/4.51 tff(6149,plain,
% 6.28/4.51 ((v116(constB17) | v123(constB17)) | (~v116(constB17))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6150,plain,
% 6.28/4.51 (v116(constB17) | v123(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6149, 6148])).
% 6.28/4.51 tff(6151,plain,
% 6.28/4.51 ((~(v115(constB17) <=> (v116(constB17) | v123(constB17)))) | v115(constB17) | (~(v116(constB17) | v123(constB17)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6152,plain,
% 6.28/4.51 (v115(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6151, 6150, 6130])).
% 6.28/4.51 tff(6153,plain,
% 6.28/4.51 ((v115(constB17) | v124(constB17)) | (~v115(constB17))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6154,plain,
% 6.28/4.51 (v115(constB17) | v124(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6153, 6152])).
% 6.28/4.51 tff(6155,plain,
% 6.28/4.51 ((~(v114(constB17) <=> (v115(constB17) | v124(constB17)))) | v114(constB17) | (~(v115(constB17) | v124(constB17)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6156,plain,
% 6.28/4.51 (v114(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6155, 6154, 6128])).
% 6.28/4.51 tff(6157,plain,
% 6.28/4.51 ((v114(constB17) | v125(constB17)) | (~v114(constB17))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6158,plain,
% 6.28/4.51 (v114(constB17) | v125(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6157, 6156])).
% 6.28/4.51 tff(6159,plain,
% 6.28/4.51 ((~(v113(constB17) <=> (v114(constB17) | v125(constB17)))) | v113(constB17) | (~(v114(constB17) | v125(constB17)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6160,plain,
% 6.28/4.51 (v113(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6159, 6158, 6126])).
% 6.28/4.51 tff(6161,plain,
% 6.28/4.51 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB17)) <=> v111(constB17))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6162,plain,
% 6.28/4.51 ((~v126(constB17)) <=> v111(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6161, 4761])).
% 6.28/4.51 tff(6163,plain,
% 6.28/4.51 ((~((~v126(constB17)) <=> v111(constB17))) | v126(constB17) | v111(constB17)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6164,plain,
% 6.28/4.51 ((~((~v126(constB17)) <=> v111(constB17))) | v126(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6163, 3982])).
% 6.28/4.51 tff(6165,plain,
% 6.28/4.51 (v126(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6164, 6162])).
% 6.28/4.51 tff(6166,plain,
% 6.28/4.51 ((~((~v113(constB17)) | (~v126(constB17)))) | (~v113(constB17)) | (~v126(constB17))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6167,plain,
% 6.28/4.51 ((~((~v113(constB17)) | (~v126(constB17)))) | (~v113(constB17))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6166, 6165])).
% 6.28/4.51 tff(6168,plain,
% 6.28/4.51 (~((~v113(constB17)) | (~v126(constB17)))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6167, 6160])).
% 6.28/4.51 tff(6169,plain,
% 6.28/4.51 ((~(v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17)))))) | v112(constB17) | ((~v113(constB17)) | (~v126(constB17)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6170,plain,
% 6.28/4.51 (v112(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6169, 6168, 6124])).
% 6.28/4.51 tff(6171,plain,
% 6.28/4.51 ((v111(constB17) | v112(constB17)) | (~v112(constB17))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6172,plain,
% 6.28/4.51 (v111(constB17) | v112(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6171, 6170])).
% 6.28/4.51 tff(6173,plain,
% 6.28/4.51 ((~(v108(constB17) <=> (v111(constB17) | v112(constB17)))) | v108(constB17) | (~(v111(constB17) | v112(constB17)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6174,plain,
% 6.28/4.51 (v108(constB17)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6173, 6172, 6122])).
% 6.28/4.51 tff(6175,plain,
% 6.28/4.51 ((~(v110(constB18) <=> v108(constB17))) | v110(constB18) | (~v108(constB17))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6176,plain,
% 6.28/4.51 (v110(constB18)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6175, 6174, 6120])).
% 6.28/4.51 tff(6177,plain,
% 6.28/4.51 ((~((~v101(constB18)) | (~v110(constB18)))) | (~v101(constB18)) | (~v110(constB18))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6178,plain,
% 6.28/4.51 (~((~v101(constB18)) | (~v110(constB18)))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6177, 6176, 6116])).
% 6.28/4.51 tff(6179,plain,
% 6.28/4.51 ((~(v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18)))))) | v100(constB18) | ((~v101(constB18)) | (~v110(constB18)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6180,plain,
% 6.28/4.51 (v100(constB18)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6179, 6178, 6088])).
% 6.28/4.51 tff(6181,plain,
% 6.28/4.51 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB18)) | (~(((~v90(constB18, 0)) <=> v129(constB18, 0)) | ((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB18)) | (~(((~v90(constB18, 0)) <=> v129(constB18, 0)) | ((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1)))))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6182,plain,
% 6.28/4.51 (((~v100(constB18)) | (~(((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1)) | ((~v90(constB18, 0)) <=> v129(constB18, 0))))) <=> ((~v100(constB18)) | (~(((~v90(constB18, 0)) <=> v129(constB18, 0)) | ((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1)))))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6183,plain,
% 6.28/4.51 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB18)) | (~(((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1)) | ((~v90(constB18, 0)) <=> v129(constB18, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB18)) | (~(((~v90(constB18, 0)) <=> v129(constB18, 0)) | ((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1))))))),
% 6.28/4.51 inference(monotonicity,[status(thm)],[6182])).
% 6.28/4.51 tff(6184,plain,
% 6.28/4.51 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB18)) | (~(((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1)) | ((~v90(constB18, 0)) <=> v129(constB18, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB18)) | (~(((~v90(constB18, 0)) <=> v129(constB18, 0)) | ((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1)))))),
% 6.28/4.51 inference(transitivity,[status(thm)],[6183, 6181])).
% 6.28/4.51 tff(6185,plain,
% 6.28/4.51 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB18)) | (~(((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1)) | ((~v90(constB18, 0)) <=> v129(constB18, 0)))))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6186,plain,
% 6.28/4.51 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB18)) | (~(((~v90(constB18, 0)) <=> v129(constB18, 0)) | ((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1))))),
% 6.28/4.51 inference(modus_ponens,[status(thm)],[6185, 6184])).
% 6.28/4.51 tff(6187,plain,
% 6.28/4.51 ((~v100(constB18)) | (~(((~v90(constB18, 0)) <=> v129(constB18, 0)) | ((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1))))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6186, 4794])).
% 6.28/4.51 tff(6188,plain,
% 6.28/4.51 (~(((~v90(constB18, 0)) <=> v129(constB18, 0)) | ((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1)))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6187, 6180])).
% 6.28/4.51 tff(6189,plain,
% 6.28/4.51 ((((~v90(constB18, 0)) <=> v129(constB18, 0)) | ((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1))) | (~((~v90(constB18, 2)) <=> v129(constB18, 2)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6190,plain,
% 6.28/4.51 (~((~v90(constB18, 2)) <=> v129(constB18, 2))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6189, 6188])).
% 6.28/4.51 tff(6191,plain,
% 6.28/4.51 (((~v90(constB18, 2)) <=> v129(constB18, 2)) | (~v90(constB18, 2)) | v129(constB18, 2)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6192,plain,
% 6.28/4.51 (~v90(constB18, 2)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6191, 6190, 6084])).
% 6.28/4.51 tff(6193,plain,
% 6.28/4.51 (((~v90(constB19, 2)) <=> v90(constB18, 2)) | (~v90(constB19, 2)) | v90(constB18, 2)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6194,plain,
% 6.28/4.51 (~v90(constB19, 2)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6193, 6192, 3966])).
% 6.28/4.51 tff(6195,plain,
% 6.28/4.51 ((((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0))) | (~((~v90(constB19, 0)) <=> v90(constB18, 0)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6196,plain,
% 6.28/4.51 (~((~v90(constB19, 0)) <=> v90(constB18, 0))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6195, 3964])).
% 6.28/4.51 tff(6197,plain,
% 6.28/4.51 ((((~v129(constB18, 2)) <=> v127(constB17, 2)) | ((~v129(constB18, 1)) <=> v127(constB17, 1)) | ((~v129(constB18, 0)) <=> v127(constB17, 0))) | (~((~v129(constB18, 0)) <=> v127(constB17, 0)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6198,plain,
% 6.28/4.51 (~((~v129(constB18, 0)) <=> v127(constB17, 0))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6197, 3973])).
% 6.28/4.51 tff(6199,plain,
% 6.28/4.51 ((((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0))) | (~((~v127(constB17, 0)) <=> v130(constB17, 0)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6200,plain,
% 6.28/4.51 (~((~v127(constB17, 0)) <=> v130(constB17, 0))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6199, 3987])).
% 6.28/4.51 tff(6201,plain,
% 6.28/4.51 ((v130(constB17, 2) | v130(constB17, 0) | (~v130(constB17, 1))) | (~v130(constB17, 0))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6202,plain,
% 6.28/4.51 (~v130(constB17, 0)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6201, 6078])).
% 6.28/4.51 tff(6203,plain,
% 6.28/4.51 (((~v127(constB17, 0)) <=> v130(constB17, 0)) | (~v127(constB17, 0)) | v130(constB17, 0)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6204,plain,
% 6.28/4.51 (~v127(constB17, 0)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6203, 6202, 6200])).
% 6.28/4.51 tff(6205,plain,
% 6.28/4.51 (((~v129(constB18, 0)) <=> v127(constB17, 0)) | (~v129(constB18, 0)) | v127(constB17, 0)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6206,plain,
% 6.28/4.51 (~v129(constB18, 0)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6205, 6204, 6198])).
% 6.28/4.51 tff(6207,plain,
% 6.28/4.51 ((((~v90(constB18, 0)) <=> v129(constB18, 0)) | ((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1))) | (~((~v90(constB18, 0)) <=> v129(constB18, 0)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6208,plain,
% 6.28/4.51 (~((~v90(constB18, 0)) <=> v129(constB18, 0))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6207, 6188])).
% 6.28/4.51 tff(6209,plain,
% 6.28/4.51 (((~v90(constB18, 0)) <=> v129(constB18, 0)) | (~v90(constB18, 0)) | v129(constB18, 0)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6210,plain,
% 6.28/4.51 (~v90(constB18, 0)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6209, 6208, 6206])).
% 6.28/4.51 tff(6211,plain,
% 6.28/4.51 (((~v90(constB19, 0)) <=> v90(constB18, 0)) | (~v90(constB19, 0)) | v90(constB18, 0)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6212,plain,
% 6.28/4.51 (~v90(constB19, 0)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6211, 6210, 6196])).
% 6.28/4.51 tff(6213,plain,
% 6.28/4.51 ((((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0))) | (~((~v90(constB19, 1)) <=> v90(constB18, 1)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6214,plain,
% 6.28/4.51 (~((~v90(constB19, 1)) <=> v90(constB18, 1))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6213, 3964])).
% 6.28/4.51 tff(6215,plain,
% 6.28/4.51 ((((~v129(constB18, 2)) <=> v127(constB17, 2)) | ((~v129(constB18, 1)) <=> v127(constB17, 1)) | ((~v129(constB18, 0)) <=> v127(constB17, 0))) | (~((~v129(constB18, 1)) <=> v127(constB17, 1)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6216,plain,
% 6.28/4.51 (~((~v129(constB18, 1)) <=> v127(constB17, 1))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6215, 3973])).
% 6.28/4.51 tff(6217,plain,
% 6.28/4.51 ((((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0))) | (~((~v127(constB17, 1)) <=> v130(constB17, 1)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6218,plain,
% 6.28/4.51 (~((~v127(constB17, 1)) <=> v130(constB17, 1))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6217, 3987])).
% 6.28/4.51 tff(6219,plain,
% 6.28/4.51 ((v130(constB17, 2) | v130(constB17, 0) | (~v130(constB17, 1))) | v130(constB17, 1)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6220,plain,
% 6.28/4.51 (v130(constB17, 1)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6219, 6078])).
% 6.28/4.51 tff(6221,plain,
% 6.28/4.51 (((~v127(constB17, 1)) <=> v130(constB17, 1)) | v127(constB17, 1) | (~v130(constB17, 1))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6222,plain,
% 6.28/4.51 (v127(constB17, 1)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6221, 6220, 6218])).
% 6.28/4.51 tff(6223,plain,
% 6.28/4.51 (((~v129(constB18, 1)) <=> v127(constB17, 1)) | v129(constB18, 1) | (~v127(constB17, 1))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6224,plain,
% 6.28/4.51 (v129(constB18, 1)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6223, 6222, 6216])).
% 6.28/4.51 tff(6225,plain,
% 6.28/4.51 ((((~v90(constB18, 0)) <=> v129(constB18, 0)) | ((~v90(constB18, 2)) <=> v129(constB18, 2)) | ((~v90(constB18, 1)) <=> v129(constB18, 1))) | (~((~v90(constB18, 1)) <=> v129(constB18, 1)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6226,plain,
% 6.28/4.51 (~((~v90(constB18, 1)) <=> v129(constB18, 1))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6225, 6188])).
% 6.28/4.51 tff(6227,plain,
% 6.28/4.51 (((~v90(constB18, 1)) <=> v129(constB18, 1)) | v90(constB18, 1) | (~v129(constB18, 1))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6228,plain,
% 6.28/4.51 (v90(constB18, 1)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6227, 6226, 6224])).
% 6.28/4.51 tff(6229,plain,
% 6.28/4.51 (((~v90(constB19, 1)) <=> v90(constB18, 1)) | v90(constB19, 1) | (~v90(constB18, 1))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6230,plain,
% 6.28/4.51 (v90(constB19, 1)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6229, 6228, 6214])).
% 6.28/4.51 tff(6231,plain,
% 6.28/4.51 ((~(v90(constB19, 2) | v90(constB19, 0) | (~v90(constB19, 1)))) | v90(constB19, 2) | v90(constB19, 0) | (~v90(constB19, 1))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6232,plain,
% 6.28/4.51 (~(v90(constB19, 2) | v90(constB19, 0) | (~v90(constB19, 1)))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6231, 6230, 6212, 6194])).
% 6.28/4.51 tff(6233,plain,
% 6.28/4.51 ((~(v121(constB19) <=> (~(v90(constB19, 2) | v90(constB19, 0) | (~v90(constB19, 1)))))) | v121(constB19) | (v90(constB19, 2) | v90(constB19, 0) | (~v90(constB19, 1)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6234,plain,
% 6.28/4.51 (v121(constB19)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6233, 6232, 3930])).
% 6.28/4.51 tff(6235,plain,
% 6.28/4.51 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB19)) | (~(v130(constB19, 2) | (~v130(constB19, 1)) | (~v130(constB19, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB19)) | (~(v130(constB19, 2) | (~v130(constB19, 1)) | (~v130(constB19, 0)))))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6236,plain,
% 6.28/4.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB19)) | (~(v130(constB19, 2) | (~v130(constB19, 1)) | (~v130(constB19, 0)))))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6237,plain,
% 6.28/4.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB19)) | (~(v130(constB19, 2) | (~v130(constB19, 1)) | (~v130(constB19, 0))))),
% 6.28/4.51 inference(modus_ponens,[status(thm)],[6236, 6235])).
% 6.28/4.51 tff(6238,plain,
% 6.28/4.51 ((~v121(constB19)) | (~(v130(constB19, 2) | (~v130(constB19, 1)) | (~v130(constB19, 0))))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6237, 5420])).
% 6.28/4.51 tff(6239,plain,
% 6.28/4.51 (~(v130(constB19, 2) | (~v130(constB19, 1)) | (~v130(constB19, 0)))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6238, 6234])).
% 6.28/4.51 tff(6240,plain,
% 6.28/4.51 ((v130(constB19, 2) | (~v130(constB19, 1)) | (~v130(constB19, 0))) | (~v130(constB19, 2))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6241,plain,
% 6.28/4.51 (~v130(constB19, 2)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6240, 6239])).
% 6.28/4.51 tff(6242,plain,
% 6.28/4.51 (((~v127(constB19, 2)) <=> v130(constB19, 2)) | (~v127(constB19, 2)) | v130(constB19, 2)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6243,plain,
% 6.28/4.51 (~v127(constB19, 2)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6242, 6241, 3923])).
% 6.28/4.51 tff(6244,plain,
% 6.28/4.51 (((~v129(constB20, 2)) <=> v127(constB19, 2)) | (~v129(constB20, 2)) | v127(constB19, 2)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6245,plain,
% 6.28/4.51 (~v129(constB20, 2)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6244, 6243, 3909])).
% 6.28/4.51 tff(6246,plain,
% 6.28/4.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6247,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6248,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20)))))),
% 6.28/4.51 inference(modus_ponens,[status(thm)],[6247, 6246])).
% 6.28/4.51 tff(6249,plain,
% 6.28/4.51 (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6248, 3903, 273])).
% 6.28/4.51 tff(6250,plain,
% 6.28/4.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6251,plain,
% 6.28/4.51 (((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20)))))) <=> ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6252,plain,
% 6.28/4.51 (((~![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) <=> (~((~v1(constB20)) | (~v102(constB20)))))))),
% 6.28/4.51 inference(monotonicity,[status(thm)],[6251])).
% 6.28/4.51 tff(6253,plain,
% 6.28/4.51 (((~![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) <=> (~((~v1(constB20)) | (~v102(constB20))))))),
% 6.28/4.51 inference(transitivity,[status(thm)],[6252, 6250])).
% 6.28/4.51 tff(6254,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20))))))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6255,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20)))))),
% 6.28/4.51 inference(modus_ponens,[status(thm)],[6254, 6253])).
% 6.28/4.51 tff(6256,plain,
% 6.28/4.51 (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6255, 3903, 293])).
% 6.28/4.51 tff(6257,plain,
% 6.28/4.51 (((~![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)))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6258,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20)))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6259,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20))),
% 6.28/4.51 inference(modus_ponens,[status(thm)],[6258, 6257])).
% 6.28/4.51 tff(6260,plain,
% 6.28/4.51 ((~v102(constB20)) <=> v104(constB20)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6259, 3903, 4609])).
% 6.28/4.51 tff(6261,plain,
% 6.28/4.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19)))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6262,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19)))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6263,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19))),
% 6.28/4.51 inference(modus_ponens,[status(thm)],[6262, 6261])).
% 6.28/4.51 tff(6264,plain,
% 6.28/4.51 (v104(constB20) <=> v1(constB19)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6263, 3903, 4623])).
% 6.28/4.51 tff(6265,plain,
% 6.28/4.51 ((~(v104(constB20) <=> v1(constB19))) | (~v104(constB20)) | v1(constB19)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6266,plain,
% 6.28/4.51 ((~(v104(constB20) <=> v1(constB19))) | (~v104(constB20))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6265, 3947])).
% 6.28/4.51 tff(6267,plain,
% 6.28/4.51 (~v104(constB20)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6266, 6264])).
% 6.28/4.51 tff(6268,plain,
% 6.28/4.51 ((~((~v102(constB20)) <=> v104(constB20))) | v102(constB20) | v104(constB20)),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6269,plain,
% 6.28/4.51 (v102(constB20)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6268, 6267, 6260])).
% 6.28/4.51 tff(6270,plain,
% 6.28/4.51 (v1(constB20) <=> v1(constB20)),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6271,axiom,(v1(constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_20')).
% 6.28/4.51 tff(6272,plain,
% 6.28/4.51 (v1(constB20)),
% 6.28/4.51 inference(modus_ponens,[status(thm)],[6271, 6270])).
% 6.28/4.51 tff(6273,plain,
% 6.28/4.51 ((~((~v1(constB20)) | (~v102(constB20)))) | (~v1(constB20)) | (~v102(constB20))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6274,plain,
% 6.28/4.51 ((~((~v1(constB20)) | (~v102(constB20)))) | (~v102(constB20))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6273, 6272])).
% 6.28/4.51 tff(6275,plain,
% 6.28/4.51 (~((~v1(constB20)) | (~v102(constB20)))),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6274, 6269])).
% 6.28/4.51 tff(6276,plain,
% 6.28/4.51 ((~(v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20)))))) | v101(constB20) | ((~v1(constB20)) | (~v102(constB20)))),
% 6.28/4.51 inference(tautology,[status(thm)],[])).
% 6.28/4.51 tff(6277,plain,
% 6.28/4.51 (v101(constB20)),
% 6.28/4.51 inference(unit_resolution,[status(thm)],[6276, 6275, 6256])).
% 6.28/4.51 tff(6278,plain,
% 6.28/4.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19)))),
% 6.28/4.51 inference(rewrite,[status(thm)],[])).
% 6.28/4.51 tff(6279,plain,
% 6.28/4.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19)))),
% 6.28/4.51 inference(quant_inst,[status(thm)],[])).
% 6.28/4.51 tff(6280,plain,
% 6.28/4.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19))),
% 6.28/4.52 inference(modus_ponens,[status(thm)],[6279, 6278])).
% 6.28/4.52 tff(6281,plain,
% 6.28/4.52 (v110(constB20) <=> v108(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6280, 3903, 4650])).
% 6.28/4.52 tff(6282,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB19) <=> (v111(constB19) | v112(constB19)))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6283,plain,
% 6.28/4.52 (v108(constB19) <=> (v111(constB19) | v112(constB19))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6282, 4661])).
% 6.28/4.52 tff(6284,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19)))))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6285,plain,
% 6.28/4.52 (v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19))))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6284, 4673])).
% 6.28/4.52 tff(6286,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB19) <=> (v114(constB19) | v125(constB19)))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6287,plain,
% 6.28/4.52 (v113(constB19) <=> (v114(constB19) | v125(constB19))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6286, 4682])).
% 6.28/4.52 tff(6288,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB19) <=> (v115(constB19) | v124(constB19)))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6289,plain,
% 6.28/4.52 (v114(constB19) <=> (v115(constB19) | v124(constB19))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6288, 4691])).
% 6.28/4.52 tff(6290,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB19) <=> (v116(constB19) | v123(constB19)))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6291,plain,
% 6.28/4.52 (v115(constB19) <=> (v116(constB19) | v123(constB19))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6290, 4700])).
% 6.28/4.52 tff(6292,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB19) <=> (v117(constB19) | v122(constB19)))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6293,plain,
% 6.28/4.52 (v116(constB19) <=> (v117(constB19) | v122(constB19))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6292, 4709])).
% 6.28/4.52 tff(6294,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB19) <=> (v118(constB19) | v121(constB19)))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6295,plain,
% 6.28/4.52 (v117(constB19) <=> (v118(constB19) | v121(constB19))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6294, 4718])).
% 6.28/4.52 tff(6296,plain,
% 6.28/4.52 ((v118(constB19) | v121(constB19)) | (~v121(constB19))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6297,plain,
% 6.28/4.52 (v118(constB19) | v121(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6296, 6234])).
% 6.28/4.52 tff(6298,plain,
% 6.28/4.52 ((~(v117(constB19) <=> (v118(constB19) | v121(constB19)))) | v117(constB19) | (~(v118(constB19) | v121(constB19)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6299,plain,
% 6.28/4.52 (v117(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6298, 6297, 6295])).
% 6.28/4.52 tff(6300,plain,
% 6.28/4.52 ((v117(constB19) | v122(constB19)) | (~v117(constB19))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6301,plain,
% 6.28/4.52 (v117(constB19) | v122(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6300, 6299])).
% 6.28/4.52 tff(6302,plain,
% 6.28/4.52 ((~(v116(constB19) <=> (v117(constB19) | v122(constB19)))) | v116(constB19) | (~(v117(constB19) | v122(constB19)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6303,plain,
% 6.28/4.52 (v116(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6302, 6301, 6293])).
% 6.28/4.52 tff(6304,plain,
% 6.28/4.52 ((v116(constB19) | v123(constB19)) | (~v116(constB19))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6305,plain,
% 6.28/4.52 (v116(constB19) | v123(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6304, 6303])).
% 6.28/4.52 tff(6306,plain,
% 6.28/4.52 ((~(v115(constB19) <=> (v116(constB19) | v123(constB19)))) | v115(constB19) | (~(v116(constB19) | v123(constB19)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6307,plain,
% 6.28/4.52 (v115(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6306, 6305, 6291])).
% 6.28/4.52 tff(6308,plain,
% 6.28/4.52 ((v115(constB19) | v124(constB19)) | (~v115(constB19))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6309,plain,
% 6.28/4.52 (v115(constB19) | v124(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6308, 6307])).
% 6.28/4.52 tff(6310,plain,
% 6.28/4.52 ((~(v114(constB19) <=> (v115(constB19) | v124(constB19)))) | v114(constB19) | (~(v115(constB19) | v124(constB19)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6311,plain,
% 6.28/4.52 (v114(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6310, 6309, 6289])).
% 6.28/4.52 tff(6312,plain,
% 6.28/4.52 ((v114(constB19) | v125(constB19)) | (~v114(constB19))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6313,plain,
% 6.28/4.52 (v114(constB19) | v125(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6312, 6311])).
% 6.28/4.52 tff(6314,plain,
% 6.28/4.52 ((~(v113(constB19) <=> (v114(constB19) | v125(constB19)))) | v113(constB19) | (~(v114(constB19) | v125(constB19)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6315,plain,
% 6.28/4.52 (v113(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6314, 6313, 6287])).
% 6.28/4.52 tff(6316,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB19)) <=> v111(constB19))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6317,plain,
% 6.28/4.52 ((~v126(constB19)) <=> v111(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6316, 4761])).
% 6.28/4.52 tff(6318,plain,
% 6.28/4.52 ((~((~v126(constB19)) <=> v111(constB19))) | v126(constB19) | v111(constB19)),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6319,plain,
% 6.28/4.52 ((~((~v126(constB19)) <=> v111(constB19))) | v126(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6318, 3916])).
% 6.28/4.52 tff(6320,plain,
% 6.28/4.52 (v126(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6319, 6317])).
% 6.28/4.52 tff(6321,plain,
% 6.28/4.52 ((~((~v113(constB19)) | (~v126(constB19)))) | (~v113(constB19)) | (~v126(constB19))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6322,plain,
% 6.28/4.52 ((~((~v113(constB19)) | (~v126(constB19)))) | (~v113(constB19))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6321, 6320])).
% 6.28/4.52 tff(6323,plain,
% 6.28/4.52 (~((~v113(constB19)) | (~v126(constB19)))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6322, 6315])).
% 6.28/4.52 tff(6324,plain,
% 6.28/4.52 ((~(v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19)))))) | v112(constB19) | ((~v113(constB19)) | (~v126(constB19)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6325,plain,
% 6.28/4.52 (v112(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6324, 6323, 6285])).
% 6.28/4.52 tff(6326,plain,
% 6.28/4.52 ((v111(constB19) | v112(constB19)) | (~v112(constB19))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6327,plain,
% 6.28/4.52 (v111(constB19) | v112(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6326, 6325])).
% 6.28/4.52 tff(6328,plain,
% 6.28/4.52 ((~(v108(constB19) <=> (v111(constB19) | v112(constB19)))) | v108(constB19) | (~(v111(constB19) | v112(constB19)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6329,plain,
% 6.28/4.52 (v108(constB19)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6328, 6327, 6283])).
% 6.28/4.52 tff(6330,plain,
% 6.28/4.52 ((~(v110(constB20) <=> v108(constB19))) | v110(constB20) | (~v108(constB19))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6331,plain,
% 6.28/4.52 (v110(constB20)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6330, 6329, 6281])).
% 6.28/4.52 tff(6332,plain,
% 6.28/4.52 ((~((~v101(constB20)) | (~v110(constB20)))) | (~v101(constB20)) | (~v110(constB20))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6333,plain,
% 6.28/4.52 (~((~v101(constB20)) | (~v110(constB20)))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6332, 6331, 6277])).
% 6.28/4.52 tff(6334,plain,
% 6.28/4.52 ((~(v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20)))))) | v100(constB20) | ((~v101(constB20)) | (~v110(constB20)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6335,plain,
% 6.28/4.52 (v100(constB20)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6334, 6333, 6249])).
% 6.28/4.52 tff(6336,plain,
% 6.28/4.52 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB20)) | (~(((~v90(constB20, 2)) <=> v129(constB20, 2)) | ((~v90(constB20, 1)) <=> v129(constB20, 1)) | ((~v90(constB20, 0)) <=> v129(constB20, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB20)) | (~(((~v90(constB20, 2)) <=> v129(constB20, 2)) | ((~v90(constB20, 1)) <=> v129(constB20, 1)) | ((~v90(constB20, 0)) <=> v129(constB20, 0)))))),
% 6.28/4.52 inference(rewrite,[status(thm)],[])).
% 6.28/4.52 tff(6337,plain,
% 6.28/4.52 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB20)) | (~(((~v90(constB20, 2)) <=> v129(constB20, 2)) | ((~v90(constB20, 1)) <=> v129(constB20, 1)) | ((~v90(constB20, 0)) <=> v129(constB20, 0)))))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6338,plain,
% 6.28/4.52 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB20)) | (~(((~v90(constB20, 2)) <=> v129(constB20, 2)) | ((~v90(constB20, 1)) <=> v129(constB20, 1)) | ((~v90(constB20, 0)) <=> v129(constB20, 0))))),
% 6.28/4.52 inference(modus_ponens,[status(thm)],[6337, 6336])).
% 6.28/4.52 tff(6339,plain,
% 6.28/4.52 ((~v100(constB20)) | (~(((~v90(constB20, 2)) <=> v129(constB20, 2)) | ((~v90(constB20, 1)) <=> v129(constB20, 1)) | ((~v90(constB20, 0)) <=> v129(constB20, 0))))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6338, 4794])).
% 6.28/4.52 tff(6340,plain,
% 6.28/4.52 (~(((~v90(constB20, 2)) <=> v129(constB20, 2)) | ((~v90(constB20, 1)) <=> v129(constB20, 1)) | ((~v90(constB20, 0)) <=> v129(constB20, 0)))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6339, 6335])).
% 6.28/4.52 tff(6341,plain,
% 6.28/4.52 ((((~v90(constB20, 2)) <=> v129(constB20, 2)) | ((~v90(constB20, 1)) <=> v129(constB20, 1)) | ((~v90(constB20, 0)) <=> v129(constB20, 0))) | (~((~v90(constB20, 2)) <=> v129(constB20, 2)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6342,plain,
% 6.28/4.52 (~((~v90(constB20, 2)) <=> v129(constB20, 2))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6341, 6340])).
% 6.28/4.52 tff(6343,plain,
% 6.28/4.52 (((~v90(constB20, 2)) <=> v129(constB20, 2)) | (~v90(constB20, 2)) | v129(constB20, 2)),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6344,plain,
% 6.28/4.52 (~v90(constB20, 2)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6343, 6342, 6245])).
% 6.28/4.52 tff(6345,plain,
% 6.28/4.52 (((~v90(constB21, 2)) <=> v90(constB20, 2)) | (~v90(constB21, 2)) | v90(constB20, 2)),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6346,plain,
% 6.28/4.52 (~v90(constB21, 2)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6345, 6344, 3900])).
% 6.28/4.52 tff(6347,plain,
% 6.28/4.52 ((((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0))) | (~((~v90(constB21, 0)) <=> v90(constB20, 0)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6348,plain,
% 6.28/4.52 (~((~v90(constB21, 0)) <=> v90(constB20, 0))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6347, 3898])).
% 6.28/4.52 tff(6349,plain,
% 6.28/4.52 ((((~v129(constB20, 2)) <=> v127(constB19, 2)) | ((~v129(constB20, 1)) <=> v127(constB19, 1)) | ((~v129(constB20, 0)) <=> v127(constB19, 0))) | (~((~v129(constB20, 0)) <=> v127(constB19, 0)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6350,plain,
% 6.28/4.52 (~((~v129(constB20, 0)) <=> v127(constB19, 0))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6349, 3907])).
% 6.28/4.52 tff(6351,plain,
% 6.28/4.52 ((((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0))) | (~((~v127(constB19, 0)) <=> v130(constB19, 0)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6352,plain,
% 6.28/4.52 (~((~v127(constB19, 0)) <=> v130(constB19, 0))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6351, 3921])).
% 6.28/4.52 tff(6353,plain,
% 6.28/4.52 ((v130(constB19, 2) | (~v130(constB19, 1)) | (~v130(constB19, 0))) | v130(constB19, 0)),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6354,plain,
% 6.28/4.52 (v130(constB19, 0)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6353, 6239])).
% 6.28/4.52 tff(6355,plain,
% 6.28/4.52 (((~v127(constB19, 0)) <=> v130(constB19, 0)) | v127(constB19, 0) | (~v130(constB19, 0))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6356,plain,
% 6.28/4.52 (v127(constB19, 0)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6355, 6354, 6352])).
% 6.28/4.52 tff(6357,plain,
% 6.28/4.52 (((~v129(constB20, 0)) <=> v127(constB19, 0)) | v129(constB20, 0) | (~v127(constB19, 0))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6358,plain,
% 6.28/4.52 (v129(constB20, 0)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6357, 6356, 6350])).
% 6.28/4.52 tff(6359,plain,
% 6.28/4.52 ((((~v90(constB20, 2)) <=> v129(constB20, 2)) | ((~v90(constB20, 1)) <=> v129(constB20, 1)) | ((~v90(constB20, 0)) <=> v129(constB20, 0))) | (~((~v90(constB20, 0)) <=> v129(constB20, 0)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6360,plain,
% 6.28/4.52 (~((~v90(constB20, 0)) <=> v129(constB20, 0))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6359, 6340])).
% 6.28/4.52 tff(6361,plain,
% 6.28/4.52 (((~v90(constB20, 0)) <=> v129(constB20, 0)) | v90(constB20, 0) | (~v129(constB20, 0))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6362,plain,
% 6.28/4.52 (v90(constB20, 0)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6361, 6360, 6358])).
% 6.28/4.52 tff(6363,plain,
% 6.28/4.52 (((~v90(constB21, 0)) <=> v90(constB20, 0)) | v90(constB21, 0) | (~v90(constB20, 0))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6364,plain,
% 6.28/4.52 (v90(constB21, 0)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6363, 6362, 6348])).
% 6.28/4.52 tff(6365,plain,
% 6.28/4.52 ((((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0))) | (~((~v90(constB21, 1)) <=> v90(constB20, 1)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6366,plain,
% 6.28/4.52 (~((~v90(constB21, 1)) <=> v90(constB20, 1))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6365, 3898])).
% 6.28/4.52 tff(6367,plain,
% 6.28/4.52 ((((~v129(constB20, 2)) <=> v127(constB19, 2)) | ((~v129(constB20, 1)) <=> v127(constB19, 1)) | ((~v129(constB20, 0)) <=> v127(constB19, 0))) | (~((~v129(constB20, 1)) <=> v127(constB19, 1)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6368,plain,
% 6.28/4.52 (~((~v129(constB20, 1)) <=> v127(constB19, 1))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6367, 3907])).
% 6.28/4.52 tff(6369,plain,
% 6.28/4.52 ((((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0))) | (~((~v127(constB19, 1)) <=> v130(constB19, 1)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6370,plain,
% 6.28/4.52 (~((~v127(constB19, 1)) <=> v130(constB19, 1))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6369, 3921])).
% 6.28/4.52 tff(6371,plain,
% 6.28/4.52 ((v130(constB19, 2) | (~v130(constB19, 1)) | (~v130(constB19, 0))) | v130(constB19, 1)),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6372,plain,
% 6.28/4.52 (v130(constB19, 1)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6371, 6239])).
% 6.28/4.52 tff(6373,plain,
% 6.28/4.52 (((~v127(constB19, 1)) <=> v130(constB19, 1)) | v127(constB19, 1) | (~v130(constB19, 1))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6374,plain,
% 6.28/4.52 (v127(constB19, 1)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6373, 6372, 6370])).
% 6.28/4.52 tff(6375,plain,
% 6.28/4.52 (((~v129(constB20, 1)) <=> v127(constB19, 1)) | v129(constB20, 1) | (~v127(constB19, 1))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6376,plain,
% 6.28/4.52 (v129(constB20, 1)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6375, 6374, 6368])).
% 6.28/4.52 tff(6377,plain,
% 6.28/4.52 ((((~v90(constB20, 2)) <=> v129(constB20, 2)) | ((~v90(constB20, 1)) <=> v129(constB20, 1)) | ((~v90(constB20, 0)) <=> v129(constB20, 0))) | (~((~v90(constB20, 1)) <=> v129(constB20, 1)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6378,plain,
% 6.28/4.52 (~((~v90(constB20, 1)) <=> v129(constB20, 1))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6377, 6340])).
% 6.28/4.52 tff(6379,plain,
% 6.28/4.52 (((~v90(constB20, 1)) <=> v129(constB20, 1)) | v90(constB20, 1) | (~v129(constB20, 1))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6380,plain,
% 6.28/4.52 (v90(constB20, 1)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6379, 6378, 6376])).
% 6.28/4.52 tff(6381,plain,
% 6.28/4.52 (((~v90(constB21, 1)) <=> v90(constB20, 1)) | v90(constB21, 1) | (~v90(constB20, 1))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6382,plain,
% 6.28/4.52 (v90(constB21, 1)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6381, 6380, 6366])).
% 6.28/4.52 tff(6383,plain,
% 6.28/4.52 ((~(v90(constB21, 2) | (~v90(constB21, 1)) | (~v90(constB21, 0)))) | v90(constB21, 2) | (~v90(constB21, 1)) | (~v90(constB21, 0))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6384,plain,
% 6.28/4.52 (~(v90(constB21, 2) | (~v90(constB21, 1)) | (~v90(constB21, 0)))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6383, 6382, 6364, 6346])).
% 6.28/4.52 tff(6385,plain,
% 6.28/4.52 ((~(v122(constB21) <=> (~(v90(constB21, 2) | (~v90(constB21, 1)) | (~v90(constB21, 0)))))) | v122(constB21) | (v90(constB21, 2) | (~v90(constB21, 1)) | (~v90(constB21, 0)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6386,plain,
% 6.28/4.52 (v122(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6385, 6384, 3864])).
% 6.28/4.52 tff(6387,plain,
% 6.28/4.52 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB21)) | (~(v130(constB21, 1) | v130(constB21, 0) | (~v130(constB21, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB21)) | (~(v130(constB21, 1) | v130(constB21, 0) | (~v130(constB21, 2)))))),
% 6.28/4.52 inference(rewrite,[status(thm)],[])).
% 6.28/4.52 tff(6388,plain,
% 6.28/4.52 (((~v122(constB21)) | (~(v130(constB21, 0) | v130(constB21, 1) | (~v130(constB21, 2))))) <=> ((~v122(constB21)) | (~(v130(constB21, 1) | v130(constB21, 0) | (~v130(constB21, 2)))))),
% 6.28/4.52 inference(rewrite,[status(thm)],[])).
% 6.28/4.52 tff(6389,plain,
% 6.28/4.52 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB21)) | (~(v130(constB21, 0) | v130(constB21, 1) | (~v130(constB21, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB21)) | (~(v130(constB21, 1) | v130(constB21, 0) | (~v130(constB21, 2))))))),
% 6.28/4.52 inference(monotonicity,[status(thm)],[6388])).
% 6.28/4.52 tff(6390,plain,
% 6.28/4.52 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB21)) | (~(v130(constB21, 0) | v130(constB21, 1) | (~v130(constB21, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB21)) | (~(v130(constB21, 1) | v130(constB21, 0) | (~v130(constB21, 2)))))),
% 6.28/4.52 inference(transitivity,[status(thm)],[6389, 6387])).
% 6.28/4.52 tff(6391,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB21)) | (~(v130(constB21, 0) | v130(constB21, 1) | (~v130(constB21, 2)))))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6392,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB21)) | (~(v130(constB21, 1) | v130(constB21, 0) | (~v130(constB21, 2))))),
% 6.28/4.52 inference(modus_ponens,[status(thm)],[6391, 6390])).
% 6.28/4.52 tff(6393,plain,
% 6.28/4.52 ((~v122(constB21)) | (~(v130(constB21, 1) | v130(constB21, 0) | (~v130(constB21, 2))))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6392, 5588])).
% 6.28/4.52 tff(6394,plain,
% 6.28/4.52 (~(v130(constB21, 1) | v130(constB21, 0) | (~v130(constB21, 2)))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6393, 6386])).
% 6.28/4.52 tff(6395,plain,
% 6.28/4.52 ((v130(constB21, 1) | v130(constB21, 0) | (~v130(constB21, 2))) | v130(constB21, 2)),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6396,plain,
% 6.28/4.52 (v130(constB21, 2)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6395, 6394])).
% 6.28/4.52 tff(6397,plain,
% 6.28/4.52 (((~v127(constB21, 2)) <=> v130(constB21, 2)) | v127(constB21, 2) | (~v130(constB21, 2))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6398,plain,
% 6.28/4.52 (v127(constB21, 2)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6397, 6396, 3857])).
% 6.28/4.52 tff(6399,plain,
% 6.28/4.52 (((~v129(constB22, 2)) <=> v127(constB21, 2)) | v129(constB22, 2) | (~v127(constB21, 2))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6400,plain,
% 6.28/4.52 (v129(constB22, 2)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6399, 6398, 3843])).
% 6.28/4.52 tff(6401,plain,
% 6.28/4.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))))),
% 6.28/4.52 inference(rewrite,[status(thm)],[])).
% 6.28/4.52 tff(6402,plain,
% 6.28/4.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6403,plain,
% 6.28/4.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22)))))),
% 6.28/4.52 inference(modus_ponens,[status(thm)],[6402, 6401])).
% 6.28/4.52 tff(6404,plain,
% 6.28/4.52 (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6403, 3837, 273])).
% 6.28/4.52 tff(6405,plain,
% 6.28/4.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))),
% 6.28/4.52 inference(rewrite,[status(thm)],[])).
% 6.28/4.52 tff(6406,plain,
% 6.28/4.52 (((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22)))))) <=> ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))),
% 6.28/4.52 inference(rewrite,[status(thm)],[])).
% 6.28/4.52 tff(6407,plain,
% 6.28/4.52 (((~![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) <=> (~((~v1(constB22)) | (~v102(constB22)))))))),
% 6.28/4.52 inference(monotonicity,[status(thm)],[6406])).
% 6.28/4.52 tff(6408,plain,
% 6.28/4.52 (((~![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) <=> (~((~v1(constB22)) | (~v102(constB22))))))),
% 6.28/4.52 inference(transitivity,[status(thm)],[6407, 6405])).
% 6.28/4.52 tff(6409,plain,
% 6.28/4.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22))))))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6410,plain,
% 6.28/4.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22)))))),
% 6.28/4.52 inference(modus_ponens,[status(thm)],[6409, 6408])).
% 6.28/4.52 tff(6411,plain,
% 6.28/4.52 (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6410, 3837, 293])).
% 6.28/4.52 tff(6412,plain,
% 6.28/4.52 (((~![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)))),
% 6.28/4.52 inference(rewrite,[status(thm)],[])).
% 6.28/4.52 tff(6413,plain,
% 6.28/4.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22)))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6414,plain,
% 6.28/4.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22))),
% 6.28/4.52 inference(modus_ponens,[status(thm)],[6413, 6412])).
% 6.28/4.52 tff(6415,plain,
% 6.28/4.52 ((~v102(constB22)) <=> v104(constB22)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6414, 3837, 4609])).
% 6.28/4.52 tff(6416,plain,
% 6.28/4.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21)))),
% 6.28/4.52 inference(rewrite,[status(thm)],[])).
% 6.28/4.52 tff(6417,plain,
% 6.28/4.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21)))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6418,plain,
% 6.28/4.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21))),
% 6.28/4.52 inference(modus_ponens,[status(thm)],[6417, 6416])).
% 6.28/4.52 tff(6419,plain,
% 6.28/4.52 (v104(constB22) <=> v1(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6418, 3837, 4623])).
% 6.28/4.52 tff(6420,plain,
% 6.28/4.52 ((~(v104(constB22) <=> v1(constB21))) | (~v104(constB22)) | v1(constB21)),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6421,plain,
% 6.28/4.52 ((~(v104(constB22) <=> v1(constB21))) | (~v104(constB22))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6420, 3881])).
% 6.28/4.52 tff(6422,plain,
% 6.28/4.52 (~v104(constB22)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6421, 6419])).
% 6.28/4.52 tff(6423,plain,
% 6.28/4.52 ((~((~v102(constB22)) <=> v104(constB22))) | v102(constB22) | v104(constB22)),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6424,plain,
% 6.28/4.52 (v102(constB22)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6423, 6422, 6415])).
% 6.28/4.52 tff(6425,plain,
% 6.28/4.52 (v1(constB22) <=> v1(constB22)),
% 6.28/4.52 inference(rewrite,[status(thm)],[])).
% 6.28/4.52 tff(6426,axiom,(v1(constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_22')).
% 6.28/4.52 tff(6427,plain,
% 6.28/4.52 (v1(constB22)),
% 6.28/4.52 inference(modus_ponens,[status(thm)],[6426, 6425])).
% 6.28/4.52 tff(6428,plain,
% 6.28/4.52 ((~((~v1(constB22)) | (~v102(constB22)))) | (~v1(constB22)) | (~v102(constB22))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6429,plain,
% 6.28/4.52 ((~((~v1(constB22)) | (~v102(constB22)))) | (~v102(constB22))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6428, 6427])).
% 6.28/4.52 tff(6430,plain,
% 6.28/4.52 (~((~v1(constB22)) | (~v102(constB22)))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6429, 6424])).
% 6.28/4.52 tff(6431,plain,
% 6.28/4.52 ((~(v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22)))))) | v101(constB22) | ((~v1(constB22)) | (~v102(constB22)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6432,plain,
% 6.28/4.52 (v101(constB22)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6431, 6430, 6411])).
% 6.28/4.52 tff(6433,plain,
% 6.28/4.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21)))),
% 6.28/4.52 inference(rewrite,[status(thm)],[])).
% 6.28/4.52 tff(6434,plain,
% 6.28/4.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21)))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6435,plain,
% 6.28/4.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21))),
% 6.28/4.52 inference(modus_ponens,[status(thm)],[6434, 6433])).
% 6.28/4.52 tff(6436,plain,
% 6.28/4.52 (v110(constB22) <=> v108(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6435, 3837, 4650])).
% 6.28/4.52 tff(6437,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB21) <=> (v111(constB21) | v112(constB21)))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6438,plain,
% 6.28/4.52 (v108(constB21) <=> (v111(constB21) | v112(constB21))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6437, 4661])).
% 6.28/4.52 tff(6439,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21)))))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6440,plain,
% 6.28/4.52 (v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21))))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6439, 4673])).
% 6.28/4.52 tff(6441,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB21) <=> (v114(constB21) | v125(constB21)))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6442,plain,
% 6.28/4.52 (v113(constB21) <=> (v114(constB21) | v125(constB21))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6441, 4682])).
% 6.28/4.52 tff(6443,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB21) <=> (v115(constB21) | v124(constB21)))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6444,plain,
% 6.28/4.52 (v114(constB21) <=> (v115(constB21) | v124(constB21))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6443, 4691])).
% 6.28/4.52 tff(6445,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB21) <=> (v116(constB21) | v123(constB21)))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6446,plain,
% 6.28/4.52 (v115(constB21) <=> (v116(constB21) | v123(constB21))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6445, 4700])).
% 6.28/4.52 tff(6447,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB21) <=> (v117(constB21) | v122(constB21)))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6448,plain,
% 6.28/4.52 (v116(constB21) <=> (v117(constB21) | v122(constB21))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6447, 4709])).
% 6.28/4.52 tff(6449,plain,
% 6.28/4.52 ((v117(constB21) | v122(constB21)) | (~v122(constB21))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6450,plain,
% 6.28/4.52 (v117(constB21) | v122(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6449, 6386])).
% 6.28/4.52 tff(6451,plain,
% 6.28/4.52 ((~(v116(constB21) <=> (v117(constB21) | v122(constB21)))) | v116(constB21) | (~(v117(constB21) | v122(constB21)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6452,plain,
% 6.28/4.52 (v116(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6451, 6450, 6448])).
% 6.28/4.52 tff(6453,plain,
% 6.28/4.52 ((v116(constB21) | v123(constB21)) | (~v116(constB21))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6454,plain,
% 6.28/4.52 (v116(constB21) | v123(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6453, 6452])).
% 6.28/4.52 tff(6455,plain,
% 6.28/4.52 ((~(v115(constB21) <=> (v116(constB21) | v123(constB21)))) | v115(constB21) | (~(v116(constB21) | v123(constB21)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6456,plain,
% 6.28/4.52 (v115(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6455, 6454, 6446])).
% 6.28/4.52 tff(6457,plain,
% 6.28/4.52 ((v115(constB21) | v124(constB21)) | (~v115(constB21))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6458,plain,
% 6.28/4.52 (v115(constB21) | v124(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6457, 6456])).
% 6.28/4.52 tff(6459,plain,
% 6.28/4.52 ((~(v114(constB21) <=> (v115(constB21) | v124(constB21)))) | v114(constB21) | (~(v115(constB21) | v124(constB21)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6460,plain,
% 6.28/4.52 (v114(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6459, 6458, 6444])).
% 6.28/4.52 tff(6461,plain,
% 6.28/4.52 ((v114(constB21) | v125(constB21)) | (~v114(constB21))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6462,plain,
% 6.28/4.52 (v114(constB21) | v125(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6461, 6460])).
% 6.28/4.52 tff(6463,plain,
% 6.28/4.52 ((~(v113(constB21) <=> (v114(constB21) | v125(constB21)))) | v113(constB21) | (~(v114(constB21) | v125(constB21)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6464,plain,
% 6.28/4.52 (v113(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6463, 6462, 6442])).
% 6.28/4.52 tff(6465,plain,
% 6.28/4.52 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB21)) <=> v111(constB21))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6466,plain,
% 6.28/4.52 ((~v126(constB21)) <=> v111(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6465, 4761])).
% 6.28/4.52 tff(6467,plain,
% 6.28/4.52 ((~((~v126(constB21)) <=> v111(constB21))) | v126(constB21) | v111(constB21)),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6468,plain,
% 6.28/4.52 ((~((~v126(constB21)) <=> v111(constB21))) | v126(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6467, 3850])).
% 6.28/4.52 tff(6469,plain,
% 6.28/4.52 (v126(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6468, 6466])).
% 6.28/4.52 tff(6470,plain,
% 6.28/4.52 ((~((~v113(constB21)) | (~v126(constB21)))) | (~v113(constB21)) | (~v126(constB21))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6471,plain,
% 6.28/4.52 ((~((~v113(constB21)) | (~v126(constB21)))) | (~v113(constB21))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6470, 6469])).
% 6.28/4.52 tff(6472,plain,
% 6.28/4.52 (~((~v113(constB21)) | (~v126(constB21)))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6471, 6464])).
% 6.28/4.52 tff(6473,plain,
% 6.28/4.52 ((~(v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21)))))) | v112(constB21) | ((~v113(constB21)) | (~v126(constB21)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6474,plain,
% 6.28/4.52 (v112(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6473, 6472, 6440])).
% 6.28/4.52 tff(6475,plain,
% 6.28/4.52 ((v111(constB21) | v112(constB21)) | (~v112(constB21))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6476,plain,
% 6.28/4.52 (v111(constB21) | v112(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6475, 6474])).
% 6.28/4.52 tff(6477,plain,
% 6.28/4.52 ((~(v108(constB21) <=> (v111(constB21) | v112(constB21)))) | v108(constB21) | (~(v111(constB21) | v112(constB21)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6478,plain,
% 6.28/4.52 (v108(constB21)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6477, 6476, 6438])).
% 6.28/4.52 tff(6479,plain,
% 6.28/4.52 ((~(v110(constB22) <=> v108(constB21))) | v110(constB22) | (~v108(constB21))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6480,plain,
% 6.28/4.52 (v110(constB22)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6479, 6478, 6436])).
% 6.28/4.52 tff(6481,plain,
% 6.28/4.52 ((~((~v101(constB22)) | (~v110(constB22)))) | (~v101(constB22)) | (~v110(constB22))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6482,plain,
% 6.28/4.52 (~((~v101(constB22)) | (~v110(constB22)))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6481, 6480, 6432])).
% 6.28/4.52 tff(6483,plain,
% 6.28/4.52 ((~(v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22)))))) | v100(constB22) | ((~v101(constB22)) | (~v110(constB22)))),
% 6.28/4.52 inference(tautology,[status(thm)],[])).
% 6.28/4.52 tff(6484,plain,
% 6.28/4.52 (v100(constB22)),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6483, 6482, 6404])).
% 6.28/4.52 tff(6485,plain,
% 6.28/4.52 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB22)) | (~(((~v90(constB22, 0)) <=> v129(constB22, 0)) | ((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB22)) | (~(((~v90(constB22, 0)) <=> v129(constB22, 0)) | ((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1)))))),
% 6.28/4.52 inference(rewrite,[status(thm)],[])).
% 6.28/4.52 tff(6486,plain,
% 6.28/4.52 (((~v100(constB22)) | (~(((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1)) | ((~v90(constB22, 0)) <=> v129(constB22, 0))))) <=> ((~v100(constB22)) | (~(((~v90(constB22, 0)) <=> v129(constB22, 0)) | ((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1)))))),
% 6.28/4.52 inference(rewrite,[status(thm)],[])).
% 6.28/4.52 tff(6487,plain,
% 6.28/4.52 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB22)) | (~(((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1)) | ((~v90(constB22, 0)) <=> v129(constB22, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB22)) | (~(((~v90(constB22, 0)) <=> v129(constB22, 0)) | ((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1))))))),
% 6.28/4.52 inference(monotonicity,[status(thm)],[6486])).
% 6.28/4.52 tff(6488,plain,
% 6.28/4.52 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB22)) | (~(((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1)) | ((~v90(constB22, 0)) <=> v129(constB22, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB22)) | (~(((~v90(constB22, 0)) <=> v129(constB22, 0)) | ((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1)))))),
% 6.28/4.52 inference(transitivity,[status(thm)],[6487, 6485])).
% 6.28/4.52 tff(6489,plain,
% 6.28/4.52 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB22)) | (~(((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1)) | ((~v90(constB22, 0)) <=> v129(constB22, 0)))))),
% 6.28/4.52 inference(quant_inst,[status(thm)],[])).
% 6.28/4.52 tff(6490,plain,
% 6.28/4.52 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB22)) | (~(((~v90(constB22, 0)) <=> v129(constB22, 0)) | ((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1))))),
% 6.28/4.52 inference(modus_ponens,[status(thm)],[6489, 6488])).
% 6.28/4.52 tff(6491,plain,
% 6.28/4.52 ((~v100(constB22)) | (~(((~v90(constB22, 0)) <=> v129(constB22, 0)) | ((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1))))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6490, 4794])).
% 6.28/4.52 tff(6492,plain,
% 6.28/4.52 (~(((~v90(constB22, 0)) <=> v129(constB22, 0)) | ((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1)))),
% 6.28/4.52 inference(unit_resolution,[status(thm)],[6491, 6484])).
% 6.28/4.52 tff(6493,plain,
% 6.28/4.52 ((((~v90(constB22, 0)) <=> v129(constB22, 0)) | ((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1))) | (~((~v90(constB22, 2)) <=> v129(constB22, 2)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6494,plain,
% 6.28/4.53 (~((~v90(constB22, 2)) <=> v129(constB22, 2))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6493, 6492])).
% 6.28/4.53 tff(6495,plain,
% 6.28/4.53 (((~v90(constB22, 2)) <=> v129(constB22, 2)) | v90(constB22, 2) | (~v129(constB22, 2))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6496,plain,
% 6.28/4.53 (v90(constB22, 2)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6495, 6494, 6400])).
% 6.28/4.53 tff(6497,plain,
% 6.28/4.53 (((~v90(constB23, 2)) <=> v90(constB22, 2)) | v90(constB23, 2) | (~v90(constB22, 2))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6498,plain,
% 6.28/4.53 (v90(constB23, 2)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6497, 6496, 3834])).
% 6.28/4.53 tff(6499,plain,
% 6.28/4.53 ((((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0))) | (~((~v90(constB23, 0)) <=> v90(constB22, 0)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6500,plain,
% 6.28/4.53 (~((~v90(constB23, 0)) <=> v90(constB22, 0))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6499, 3832])).
% 6.28/4.53 tff(6501,plain,
% 6.28/4.53 ((((~v129(constB22, 2)) <=> v127(constB21, 2)) | ((~v129(constB22, 1)) <=> v127(constB21, 1)) | ((~v129(constB22, 0)) <=> v127(constB21, 0))) | (~((~v129(constB22, 0)) <=> v127(constB21, 0)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6502,plain,
% 6.28/4.53 (~((~v129(constB22, 0)) <=> v127(constB21, 0))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6501, 3841])).
% 6.28/4.53 tff(6503,plain,
% 6.28/4.53 ((((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0))) | (~((~v127(constB21, 0)) <=> v130(constB21, 0)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6504,plain,
% 6.28/4.53 (~((~v127(constB21, 0)) <=> v130(constB21, 0))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6503, 3855])).
% 6.28/4.53 tff(6505,plain,
% 6.28/4.53 ((v130(constB21, 1) | v130(constB21, 0) | (~v130(constB21, 2))) | (~v130(constB21, 0))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6506,plain,
% 6.28/4.53 (~v130(constB21, 0)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6505, 6394])).
% 6.28/4.53 tff(6507,plain,
% 6.28/4.53 (((~v127(constB21, 0)) <=> v130(constB21, 0)) | (~v127(constB21, 0)) | v130(constB21, 0)),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6508,plain,
% 6.28/4.53 (~v127(constB21, 0)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6507, 6506, 6504])).
% 6.28/4.53 tff(6509,plain,
% 6.28/4.53 (((~v129(constB22, 0)) <=> v127(constB21, 0)) | (~v129(constB22, 0)) | v127(constB21, 0)),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6510,plain,
% 6.28/4.53 (~v129(constB22, 0)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6509, 6508, 6502])).
% 6.28/4.53 tff(6511,plain,
% 6.28/4.53 ((((~v90(constB22, 0)) <=> v129(constB22, 0)) | ((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1))) | (~((~v90(constB22, 0)) <=> v129(constB22, 0)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6512,plain,
% 6.28/4.53 (~((~v90(constB22, 0)) <=> v129(constB22, 0))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6511, 6492])).
% 6.28/4.53 tff(6513,plain,
% 6.28/4.53 (((~v90(constB22, 0)) <=> v129(constB22, 0)) | (~v90(constB22, 0)) | v129(constB22, 0)),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6514,plain,
% 6.28/4.53 (~v90(constB22, 0)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6513, 6512, 6510])).
% 6.28/4.53 tff(6515,plain,
% 6.28/4.53 (((~v90(constB23, 0)) <=> v90(constB22, 0)) | (~v90(constB23, 0)) | v90(constB22, 0)),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6516,plain,
% 6.28/4.53 (~v90(constB23, 0)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6515, 6514, 6500])).
% 6.28/4.53 tff(6517,plain,
% 6.28/4.53 ((((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0))) | (~((~v90(constB23, 1)) <=> v90(constB22, 1)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6518,plain,
% 6.28/4.53 (~((~v90(constB23, 1)) <=> v90(constB22, 1))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6517, 3832])).
% 6.28/4.53 tff(6519,plain,
% 6.28/4.53 ((((~v129(constB22, 2)) <=> v127(constB21, 2)) | ((~v129(constB22, 1)) <=> v127(constB21, 1)) | ((~v129(constB22, 0)) <=> v127(constB21, 0))) | (~((~v129(constB22, 1)) <=> v127(constB21, 1)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6520,plain,
% 6.28/4.53 (~((~v129(constB22, 1)) <=> v127(constB21, 1))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6519, 3841])).
% 6.28/4.53 tff(6521,plain,
% 6.28/4.53 ((((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0))) | (~((~v127(constB21, 1)) <=> v130(constB21, 1)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6522,plain,
% 6.28/4.53 (~((~v127(constB21, 1)) <=> v130(constB21, 1))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6521, 3855])).
% 6.28/4.53 tff(6523,plain,
% 6.28/4.53 ((v130(constB21, 1) | v130(constB21, 0) | (~v130(constB21, 2))) | (~v130(constB21, 1))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6524,plain,
% 6.28/4.53 (~v130(constB21, 1)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6523, 6394])).
% 6.28/4.53 tff(6525,plain,
% 6.28/4.53 (((~v127(constB21, 1)) <=> v130(constB21, 1)) | (~v127(constB21, 1)) | v130(constB21, 1)),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6526,plain,
% 6.28/4.53 (~v127(constB21, 1)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6525, 6524, 6522])).
% 6.28/4.53 tff(6527,plain,
% 6.28/4.53 (((~v129(constB22, 1)) <=> v127(constB21, 1)) | (~v129(constB22, 1)) | v127(constB21, 1)),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6528,plain,
% 6.28/4.53 (~v129(constB22, 1)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6527, 6526, 6520])).
% 6.28/4.53 tff(6529,plain,
% 6.28/4.53 ((((~v90(constB22, 0)) <=> v129(constB22, 0)) | ((~v90(constB22, 2)) <=> v129(constB22, 2)) | ((~v90(constB22, 1)) <=> v129(constB22, 1))) | (~((~v90(constB22, 1)) <=> v129(constB22, 1)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6530,plain,
% 6.28/4.53 (~((~v90(constB22, 1)) <=> v129(constB22, 1))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6529, 6492])).
% 6.28/4.53 tff(6531,plain,
% 6.28/4.53 (((~v90(constB22, 1)) <=> v129(constB22, 1)) | (~v90(constB22, 1)) | v129(constB22, 1)),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6532,plain,
% 6.28/4.53 (~v90(constB22, 1)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6531, 6530, 6528])).
% 6.28/4.53 tff(6533,plain,
% 6.28/4.53 (((~v90(constB23, 1)) <=> v90(constB22, 1)) | (~v90(constB23, 1)) | v90(constB22, 1)),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6534,plain,
% 6.28/4.53 (~v90(constB23, 1)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6533, 6532, 6518])).
% 6.28/4.53 tff(6535,plain,
% 6.28/4.53 ((~(v90(constB23, 1) | v90(constB23, 0) | (~v90(constB23, 2)))) | v90(constB23, 1) | v90(constB23, 0) | (~v90(constB23, 2))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6536,plain,
% 6.28/4.53 (~(v90(constB23, 1) | v90(constB23, 0) | (~v90(constB23, 2)))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6535, 6534, 6516, 6498])).
% 6.28/4.53 tff(6537,plain,
% 6.28/4.53 ((~(v123(constB23) <=> (~(v90(constB23, 1) | v90(constB23, 0) | (~v90(constB23, 2)))))) | v123(constB23) | (v90(constB23, 1) | v90(constB23, 0) | (~v90(constB23, 2)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6538,plain,
% 6.28/4.53 (v123(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6537, 6536, 3798])).
% 6.28/4.53 tff(6539,plain,
% 6.28/4.53 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB23)) | (~(v130(constB23, 0) | (~v130(constB23, 2)) | (~v130(constB23, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB23)) | (~(v130(constB23, 0) | (~v130(constB23, 2)) | (~v130(constB23, 1)))))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6540,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB23)) | (~(v130(constB23, 0) | (~v130(constB23, 2)) | (~v130(constB23, 1)))))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6541,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB23)) | (~(v130(constB23, 0) | (~v130(constB23, 2)) | (~v130(constB23, 1))))),
% 6.28/4.53 inference(modus_ponens,[status(thm)],[6540, 6539])).
% 6.28/4.53 tff(6542,plain,
% 6.28/4.53 ((~v123(constB23)) | (~(v130(constB23, 0) | (~v130(constB23, 2)) | (~v130(constB23, 1))))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6541, 4861])).
% 6.28/4.53 tff(6543,plain,
% 6.28/4.53 (~(v130(constB23, 0) | (~v130(constB23, 2)) | (~v130(constB23, 1)))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6542, 6538])).
% 6.28/4.53 tff(6544,plain,
% 6.28/4.53 ((v130(constB23, 0) | (~v130(constB23, 2)) | (~v130(constB23, 1))) | v130(constB23, 2)),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6545,plain,
% 6.28/4.53 (v130(constB23, 2)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6544, 6543])).
% 6.28/4.53 tff(6546,plain,
% 6.28/4.53 (((~v127(constB23, 2)) <=> v130(constB23, 2)) | v127(constB23, 2) | (~v130(constB23, 2))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6547,plain,
% 6.28/4.53 (v127(constB23, 2)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6546, 6545, 3791])).
% 6.28/4.53 tff(6548,plain,
% 6.28/4.53 (((~v129(constB24, 2)) <=> v127(constB23, 2)) | v129(constB24, 2) | (~v127(constB23, 2))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6549,plain,
% 6.28/4.53 (v129(constB24, 2)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6548, 6547, 3777])).
% 6.28/4.53 tff(6550,plain,
% 6.28/4.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6551,plain,
% 6.28/4.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6552,plain,
% 6.28/4.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24)))))),
% 6.28/4.53 inference(modus_ponens,[status(thm)],[6551, 6550])).
% 6.28/4.53 tff(6553,plain,
% 6.28/4.53 (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6552, 3771, 273])).
% 6.28/4.53 tff(6554,plain,
% 6.28/4.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6555,plain,
% 6.28/4.53 (((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24)))))) <=> ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6556,plain,
% 6.28/4.53 (((~![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) <=> (~((~v1(constB24)) | (~v102(constB24)))))))),
% 6.28/4.53 inference(monotonicity,[status(thm)],[6555])).
% 6.28/4.53 tff(6557,plain,
% 6.28/4.53 (((~![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) <=> (~((~v1(constB24)) | (~v102(constB24))))))),
% 6.28/4.53 inference(transitivity,[status(thm)],[6556, 6554])).
% 6.28/4.53 tff(6558,plain,
% 6.28/4.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24))))))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6559,plain,
% 6.28/4.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24)))))),
% 6.28/4.53 inference(modus_ponens,[status(thm)],[6558, 6557])).
% 6.28/4.53 tff(6560,plain,
% 6.28/4.53 (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6559, 3771, 293])).
% 6.28/4.53 tff(6561,plain,
% 6.28/4.53 (((~![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)))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6562,plain,
% 6.28/4.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24)))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6563,plain,
% 6.28/4.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24))),
% 6.28/4.53 inference(modus_ponens,[status(thm)],[6562, 6561])).
% 6.28/4.53 tff(6564,plain,
% 6.28/4.53 ((~v102(constB24)) <=> v104(constB24)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6563, 3771, 4609])).
% 6.28/4.53 tff(6565,plain,
% 6.28/4.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23)))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6566,plain,
% 6.28/4.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23)))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6567,plain,
% 6.28/4.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23))),
% 6.28/4.53 inference(modus_ponens,[status(thm)],[6566, 6565])).
% 6.28/4.53 tff(6568,plain,
% 6.28/4.53 (v104(constB24) <=> v1(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6567, 3771, 4623])).
% 6.28/4.53 tff(6569,plain,
% 6.28/4.53 ((~(v104(constB24) <=> v1(constB23))) | (~v104(constB24)) | v1(constB23)),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6570,plain,
% 6.28/4.53 ((~(v104(constB24) <=> v1(constB23))) | (~v104(constB24))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6569, 3815])).
% 6.28/4.53 tff(6571,plain,
% 6.28/4.53 (~v104(constB24)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6570, 6568])).
% 6.28/4.53 tff(6572,plain,
% 6.28/4.53 ((~((~v102(constB24)) <=> v104(constB24))) | v102(constB24) | v104(constB24)),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6573,plain,
% 6.28/4.53 (v102(constB24)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6572, 6571, 6564])).
% 6.28/4.53 tff(6574,plain,
% 6.28/4.53 (v1(constB24) <=> v1(constB24)),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6575,axiom,(v1(constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_24')).
% 6.28/4.53 tff(6576,plain,
% 6.28/4.53 (v1(constB24)),
% 6.28/4.53 inference(modus_ponens,[status(thm)],[6575, 6574])).
% 6.28/4.53 tff(6577,plain,
% 6.28/4.53 ((~((~v1(constB24)) | (~v102(constB24)))) | (~v1(constB24)) | (~v102(constB24))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6578,plain,
% 6.28/4.53 ((~((~v1(constB24)) | (~v102(constB24)))) | (~v102(constB24))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6577, 6576])).
% 6.28/4.53 tff(6579,plain,
% 6.28/4.53 (~((~v1(constB24)) | (~v102(constB24)))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6578, 6573])).
% 6.28/4.53 tff(6580,plain,
% 6.28/4.53 ((~(v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24)))))) | v101(constB24) | ((~v1(constB24)) | (~v102(constB24)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6581,plain,
% 6.28/4.53 (v101(constB24)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6580, 6579, 6560])).
% 6.28/4.53 tff(6582,plain,
% 6.28/4.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23)))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6583,plain,
% 6.28/4.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23)))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6584,plain,
% 6.28/4.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23))),
% 6.28/4.53 inference(modus_ponens,[status(thm)],[6583, 6582])).
% 6.28/4.53 tff(6585,plain,
% 6.28/4.53 (v110(constB24) <=> v108(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6584, 3771, 4650])).
% 6.28/4.53 tff(6586,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB23) <=> (v111(constB23) | v112(constB23)))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6587,plain,
% 6.28/4.53 (v108(constB23) <=> (v111(constB23) | v112(constB23))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6586, 4661])).
% 6.28/4.53 tff(6588,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23)))))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6589,plain,
% 6.28/4.53 (v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23))))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6588, 4673])).
% 6.28/4.53 tff(6590,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB23) <=> (v114(constB23) | v125(constB23)))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6591,plain,
% 6.28/4.53 (v113(constB23) <=> (v114(constB23) | v125(constB23))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6590, 4682])).
% 6.28/4.53 tff(6592,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB23) <=> (v115(constB23) | v124(constB23)))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6593,plain,
% 6.28/4.53 (v114(constB23) <=> (v115(constB23) | v124(constB23))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6592, 4691])).
% 6.28/4.53 tff(6594,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB23) <=> (v116(constB23) | v123(constB23)))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6595,plain,
% 6.28/4.53 (v115(constB23) <=> (v116(constB23) | v123(constB23))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6594, 4700])).
% 6.28/4.53 tff(6596,plain,
% 6.28/4.53 ((v116(constB23) | v123(constB23)) | (~v123(constB23))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6597,plain,
% 6.28/4.53 (v116(constB23) | v123(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6596, 6538])).
% 6.28/4.53 tff(6598,plain,
% 6.28/4.53 ((~(v115(constB23) <=> (v116(constB23) | v123(constB23)))) | v115(constB23) | (~(v116(constB23) | v123(constB23)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6599,plain,
% 6.28/4.53 (v115(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6598, 6597, 6595])).
% 6.28/4.53 tff(6600,plain,
% 6.28/4.53 ((v115(constB23) | v124(constB23)) | (~v115(constB23))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6601,plain,
% 6.28/4.53 (v115(constB23) | v124(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6600, 6599])).
% 6.28/4.53 tff(6602,plain,
% 6.28/4.53 ((~(v114(constB23) <=> (v115(constB23) | v124(constB23)))) | v114(constB23) | (~(v115(constB23) | v124(constB23)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6603,plain,
% 6.28/4.53 (v114(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6602, 6601, 6593])).
% 6.28/4.53 tff(6604,plain,
% 6.28/4.53 ((v114(constB23) | v125(constB23)) | (~v114(constB23))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6605,plain,
% 6.28/4.53 (v114(constB23) | v125(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6604, 6603])).
% 6.28/4.53 tff(6606,plain,
% 6.28/4.53 ((~(v113(constB23) <=> (v114(constB23) | v125(constB23)))) | v113(constB23) | (~(v114(constB23) | v125(constB23)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6607,plain,
% 6.28/4.53 (v113(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6606, 6605, 6591])).
% 6.28/4.53 tff(6608,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB23)) <=> v111(constB23))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6609,plain,
% 6.28/4.53 ((~v126(constB23)) <=> v111(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6608, 4761])).
% 6.28/4.53 tff(6610,plain,
% 6.28/4.53 ((~((~v126(constB23)) <=> v111(constB23))) | v126(constB23) | v111(constB23)),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6611,plain,
% 6.28/4.53 ((~((~v126(constB23)) <=> v111(constB23))) | v126(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6610, 3784])).
% 6.28/4.53 tff(6612,plain,
% 6.28/4.53 (v126(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6611, 6609])).
% 6.28/4.53 tff(6613,plain,
% 6.28/4.53 ((~((~v113(constB23)) | (~v126(constB23)))) | (~v113(constB23)) | (~v126(constB23))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6614,plain,
% 6.28/4.53 ((~((~v113(constB23)) | (~v126(constB23)))) | (~v113(constB23))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6613, 6612])).
% 6.28/4.53 tff(6615,plain,
% 6.28/4.53 (~((~v113(constB23)) | (~v126(constB23)))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6614, 6607])).
% 6.28/4.53 tff(6616,plain,
% 6.28/4.53 ((~(v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23)))))) | v112(constB23) | ((~v113(constB23)) | (~v126(constB23)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6617,plain,
% 6.28/4.53 (v112(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6616, 6615, 6589])).
% 6.28/4.53 tff(6618,plain,
% 6.28/4.53 ((v111(constB23) | v112(constB23)) | (~v112(constB23))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6619,plain,
% 6.28/4.53 (v111(constB23) | v112(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6618, 6617])).
% 6.28/4.53 tff(6620,plain,
% 6.28/4.53 ((~(v108(constB23) <=> (v111(constB23) | v112(constB23)))) | v108(constB23) | (~(v111(constB23) | v112(constB23)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6621,plain,
% 6.28/4.53 (v108(constB23)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6620, 6619, 6587])).
% 6.28/4.53 tff(6622,plain,
% 6.28/4.53 ((~(v110(constB24) <=> v108(constB23))) | v110(constB24) | (~v108(constB23))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6623,plain,
% 6.28/4.53 (v110(constB24)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6622, 6621, 6585])).
% 6.28/4.53 tff(6624,plain,
% 6.28/4.53 ((~((~v101(constB24)) | (~v110(constB24)))) | (~v101(constB24)) | (~v110(constB24))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6625,plain,
% 6.28/4.53 (~((~v101(constB24)) | (~v110(constB24)))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6624, 6623, 6581])).
% 6.28/4.53 tff(6626,plain,
% 6.28/4.53 ((~(v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24)))))) | v100(constB24) | ((~v101(constB24)) | (~v110(constB24)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6627,plain,
% 6.28/4.53 (v100(constB24)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6626, 6625, 6553])).
% 6.28/4.53 tff(6628,plain,
% 6.28/4.53 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB24)) | (~(((~v90(constB24, 2)) <=> v129(constB24, 2)) | ((~v90(constB24, 1)) <=> v129(constB24, 1)) | ((~v90(constB24, 0)) <=> v129(constB24, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB24)) | (~(((~v90(constB24, 2)) <=> v129(constB24, 2)) | ((~v90(constB24, 1)) <=> v129(constB24, 1)) | ((~v90(constB24, 0)) <=> v129(constB24, 0)))))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6629,plain,
% 6.28/4.53 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB24)) | (~(((~v90(constB24, 2)) <=> v129(constB24, 2)) | ((~v90(constB24, 1)) <=> v129(constB24, 1)) | ((~v90(constB24, 0)) <=> v129(constB24, 0)))))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6630,plain,
% 6.28/4.53 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB24)) | (~(((~v90(constB24, 2)) <=> v129(constB24, 2)) | ((~v90(constB24, 1)) <=> v129(constB24, 1)) | ((~v90(constB24, 0)) <=> v129(constB24, 0))))),
% 6.28/4.53 inference(modus_ponens,[status(thm)],[6629, 6628])).
% 6.28/4.53 tff(6631,plain,
% 6.28/4.53 ((~v100(constB24)) | (~(((~v90(constB24, 2)) <=> v129(constB24, 2)) | ((~v90(constB24, 1)) <=> v129(constB24, 1)) | ((~v90(constB24, 0)) <=> v129(constB24, 0))))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6630, 4794])).
% 6.28/4.53 tff(6632,plain,
% 6.28/4.53 (~(((~v90(constB24, 2)) <=> v129(constB24, 2)) | ((~v90(constB24, 1)) <=> v129(constB24, 1)) | ((~v90(constB24, 0)) <=> v129(constB24, 0)))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6631, 6627])).
% 6.28/4.53 tff(6633,plain,
% 6.28/4.53 ((((~v90(constB24, 2)) <=> v129(constB24, 2)) | ((~v90(constB24, 1)) <=> v129(constB24, 1)) | ((~v90(constB24, 0)) <=> v129(constB24, 0))) | (~((~v90(constB24, 2)) <=> v129(constB24, 2)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6634,plain,
% 6.28/4.53 (~((~v90(constB24, 2)) <=> v129(constB24, 2))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6633, 6632])).
% 6.28/4.53 tff(6635,plain,
% 6.28/4.53 (((~v90(constB24, 2)) <=> v129(constB24, 2)) | v90(constB24, 2) | (~v129(constB24, 2))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6636,plain,
% 6.28/4.53 (v90(constB24, 2)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6635, 6634, 6549])).
% 6.28/4.53 tff(6637,plain,
% 6.28/4.53 (((~v90(constB25, 2)) <=> v90(constB24, 2)) | v90(constB25, 2) | (~v90(constB24, 2))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6638,plain,
% 6.28/4.53 (v90(constB25, 2)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6637, 6636, 3768])).
% 6.28/4.53 tff(6639,plain,
% 6.28/4.53 ((v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2)) | (~v90(constB25, 2))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6640,plain,
% 6.28/4.53 (v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6639, 6638])).
% 6.28/4.53 tff(6641,plain,
% 6.28/4.53 ((~(v119(constB25) <=> (~(v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2))))) | (~v119(constB25)) | (~(v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6642,plain,
% 6.28/4.53 (~v119(constB25)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6641, 6640, 3732])).
% 6.28/4.53 tff(6643,plain,
% 6.28/4.53 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB25) <=> (~(v90(constB25, 1) | (~v90(constB25, 2)) | (~v90(constB25, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB25) <=> (~(v90(constB25, 1) | (~v90(constB25, 2)) | (~v90(constB25, 0))))))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6644,plain,
% 6.28/4.53 ((v124(constB25) <=> (~(v90(constB25, 1) | (~v90(constB25, 0)) | (~v90(constB25, 2))))) <=> (v124(constB25) <=> (~(v90(constB25, 1) | (~v90(constB25, 2)) | (~v90(constB25, 0)))))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6645,plain,
% 6.28/4.53 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB25) <=> (~(v90(constB25, 1) | (~v90(constB25, 0)) | (~v90(constB25, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB25) <=> (~(v90(constB25, 1) | (~v90(constB25, 2)) | (~v90(constB25, 0))))))),
% 6.28/4.53 inference(monotonicity,[status(thm)],[6644])).
% 6.28/4.53 tff(6646,plain,
% 6.28/4.53 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB25) <=> (~(v90(constB25, 1) | (~v90(constB25, 0)) | (~v90(constB25, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB25) <=> (~(v90(constB25, 1) | (~v90(constB25, 2)) | (~v90(constB25, 0))))))),
% 6.28/4.53 inference(transitivity,[status(thm)],[6645, 6643])).
% 6.28/4.53 tff(6647,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB25) <=> (~(v90(constB25, 1) | (~v90(constB25, 0)) | (~v90(constB25, 2)))))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6648,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB25) <=> (~(v90(constB25, 1) | (~v90(constB25, 2)) | (~v90(constB25, 0)))))),
% 6.28/4.53 inference(modus_ponens,[status(thm)],[6647, 6646])).
% 6.28/4.53 tff(6649,plain,
% 6.28/4.53 (v124(constB25) <=> (~(v90(constB25, 1) | (~v90(constB25, 2)) | (~v90(constB25, 0))))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6648, 4978])).
% 6.28/4.53 tff(6650,plain,
% 6.28/4.53 ((((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0))) | (~((~v90(constB25, 1)) <=> v90(constB24, 1)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6651,plain,
% 6.28/4.53 (~((~v90(constB25, 1)) <=> v90(constB24, 1))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6650, 3766])).
% 6.28/4.53 tff(6652,plain,
% 6.28/4.53 ((((~v129(constB24, 2)) <=> v127(constB23, 2)) | ((~v129(constB24, 1)) <=> v127(constB23, 1)) | ((~v129(constB24, 0)) <=> v127(constB23, 0))) | (~((~v129(constB24, 1)) <=> v127(constB23, 1)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6653,plain,
% 6.28/4.53 (~((~v129(constB24, 1)) <=> v127(constB23, 1))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6652, 3775])).
% 6.28/4.53 tff(6654,plain,
% 6.28/4.53 ((((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0))) | (~((~v127(constB23, 1)) <=> v130(constB23, 1)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6655,plain,
% 6.28/4.53 (~((~v127(constB23, 1)) <=> v130(constB23, 1))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6654, 3789])).
% 6.28/4.53 tff(6656,plain,
% 6.28/4.53 ((v130(constB23, 0) | (~v130(constB23, 2)) | (~v130(constB23, 1))) | v130(constB23, 1)),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6657,plain,
% 6.28/4.53 (v130(constB23, 1)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6656, 6543])).
% 6.28/4.53 tff(6658,plain,
% 6.28/4.53 (((~v127(constB23, 1)) <=> v130(constB23, 1)) | v127(constB23, 1) | (~v130(constB23, 1))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6659,plain,
% 6.28/4.53 (v127(constB23, 1)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6658, 6657, 6655])).
% 6.28/4.53 tff(6660,plain,
% 6.28/4.53 (((~v129(constB24, 1)) <=> v127(constB23, 1)) | v129(constB24, 1) | (~v127(constB23, 1))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6661,plain,
% 6.28/4.53 (v129(constB24, 1)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6660, 6659, 6653])).
% 6.28/4.53 tff(6662,plain,
% 6.28/4.53 ((((~v90(constB24, 2)) <=> v129(constB24, 2)) | ((~v90(constB24, 1)) <=> v129(constB24, 1)) | ((~v90(constB24, 0)) <=> v129(constB24, 0))) | (~((~v90(constB24, 1)) <=> v129(constB24, 1)))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6663,plain,
% 6.28/4.53 (~((~v90(constB24, 1)) <=> v129(constB24, 1))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6662, 6632])).
% 6.28/4.53 tff(6664,plain,
% 6.28/4.53 (((~v90(constB24, 1)) <=> v129(constB24, 1)) | v90(constB24, 1) | (~v129(constB24, 1))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6665,plain,
% 6.28/4.53 (v90(constB24, 1)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6664, 6663, 6661])).
% 6.28/4.53 tff(6666,plain,
% 6.28/4.53 (((~v90(constB25, 1)) <=> v90(constB24, 1)) | v90(constB25, 1) | (~v90(constB24, 1))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6667,plain,
% 6.28/4.53 (v90(constB25, 1)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6666, 6665, 6651])).
% 6.28/4.53 tff(6668,plain,
% 6.28/4.53 ((v90(constB25, 1) | (~v90(constB25, 2)) | (~v90(constB25, 0))) | (~v90(constB25, 1))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6669,plain,
% 6.28/4.53 (v90(constB25, 1) | (~v90(constB25, 2)) | (~v90(constB25, 0))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6668, 6667])).
% 6.28/4.53 tff(6670,plain,
% 6.28/4.53 ((~(v124(constB25) <=> (~(v90(constB25, 1) | (~v90(constB25, 2)) | (~v90(constB25, 0)))))) | (~v124(constB25)) | (~(v90(constB25, 1) | (~v90(constB25, 2)) | (~v90(constB25, 0))))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6671,plain,
% 6.28/4.53 (~v124(constB25)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6670, 6669, 6649])).
% 6.28/4.53 tff(6672,plain,
% 6.28/4.53 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB25) <=> (~(v90(constB25, 1) | v90(constB25, 0) | (~v90(constB25, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB25) <=> (~(v90(constB25, 1) | v90(constB25, 0) | (~v90(constB25, 2))))))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6673,plain,
% 6.28/4.53 ((v123(constB25) <=> (~(v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2))))) <=> (v123(constB25) <=> (~(v90(constB25, 1) | v90(constB25, 0) | (~v90(constB25, 2)))))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6674,plain,
% 6.28/4.53 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB25) <=> (~(v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB25) <=> (~(v90(constB25, 1) | v90(constB25, 0) | (~v90(constB25, 2))))))),
% 6.28/4.53 inference(monotonicity,[status(thm)],[6673])).
% 6.28/4.53 tff(6675,plain,
% 6.28/4.53 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB25) <=> (~(v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB25) <=> (~(v90(constB25, 1) | v90(constB25, 0) | (~v90(constB25, 2))))))),
% 6.28/4.53 inference(transitivity,[status(thm)],[6674, 6672])).
% 6.28/4.53 tff(6676,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB25) <=> (~(v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)))))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6677,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB25) <=> (~(v90(constB25, 1) | v90(constB25, 0) | (~v90(constB25, 2)))))),
% 6.28/4.53 inference(modus_ponens,[status(thm)],[6676, 6675])).
% 6.28/4.53 tff(6678,plain,
% 6.28/4.53 (v123(constB25) <=> (~(v90(constB25, 1) | v90(constB25, 0) | (~v90(constB25, 2))))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6677, 565])).
% 6.28/4.53 tff(6679,plain,
% 6.28/4.53 ((v90(constB25, 1) | v90(constB25, 0) | (~v90(constB25, 2))) | (~v90(constB25, 1))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6680,plain,
% 6.28/4.53 (v90(constB25, 1) | v90(constB25, 0) | (~v90(constB25, 2))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6679, 6667])).
% 6.28/4.53 tff(6681,plain,
% 6.28/4.53 ((~(v123(constB25) <=> (~(v90(constB25, 1) | v90(constB25, 0) | (~v90(constB25, 2)))))) | (~v123(constB25)) | (~(v90(constB25, 1) | v90(constB25, 0) | (~v90(constB25, 2))))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6682,plain,
% 6.28/4.53 (~v123(constB25)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6681, 6680, 6678])).
% 6.28/4.53 tff(6683,plain,
% 6.28/4.53 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB25) <=> (~(v90(constB25, 2) | (~v90(constB25, 1)) | (~v90(constB25, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB25) <=> (~(v90(constB25, 2) | (~v90(constB25, 1)) | (~v90(constB25, 0))))))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6684,plain,
% 6.28/4.53 ((v122(constB25) <=> (~(v90(constB25, 2) | (~v90(constB25, 0)) | (~v90(constB25, 1))))) <=> (v122(constB25) <=> (~(v90(constB25, 2) | (~v90(constB25, 1)) | (~v90(constB25, 0)))))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6685,plain,
% 6.28/4.53 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB25) <=> (~(v90(constB25, 2) | (~v90(constB25, 0)) | (~v90(constB25, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB25) <=> (~(v90(constB25, 2) | (~v90(constB25, 1)) | (~v90(constB25, 0))))))),
% 6.28/4.53 inference(monotonicity,[status(thm)],[6684])).
% 6.28/4.53 tff(6686,plain,
% 6.28/4.53 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB25) <=> (~(v90(constB25, 2) | (~v90(constB25, 0)) | (~v90(constB25, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB25) <=> (~(v90(constB25, 2) | (~v90(constB25, 1)) | (~v90(constB25, 0))))))),
% 6.28/4.53 inference(transitivity,[status(thm)],[6685, 6683])).
% 6.28/4.53 tff(6687,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB25) <=> (~(v90(constB25, 2) | (~v90(constB25, 0)) | (~v90(constB25, 1)))))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6688,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB25) <=> (~(v90(constB25, 2) | (~v90(constB25, 1)) | (~v90(constB25, 0)))))),
% 6.28/4.53 inference(modus_ponens,[status(thm)],[6687, 6686])).
% 6.28/4.53 tff(6689,plain,
% 6.28/4.53 (v122(constB25) <=> (~(v90(constB25, 2) | (~v90(constB25, 1)) | (~v90(constB25, 0))))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6688, 644])).
% 6.28/4.53 tff(6690,plain,
% 6.28/4.53 ((v90(constB25, 2) | (~v90(constB25, 1)) | (~v90(constB25, 0))) | (~v90(constB25, 2))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6691,plain,
% 6.28/4.53 (v90(constB25, 2) | (~v90(constB25, 1)) | (~v90(constB25, 0))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6690, 6638])).
% 6.28/4.53 tff(6692,plain,
% 6.28/4.53 ((~(v122(constB25) <=> (~(v90(constB25, 2) | (~v90(constB25, 1)) | (~v90(constB25, 0)))))) | (~v122(constB25)) | (~(v90(constB25, 2) | (~v90(constB25, 1)) | (~v90(constB25, 0))))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6693,plain,
% 6.28/4.53 (~v122(constB25)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6692, 6691, 6689])).
% 6.28/4.53 tff(6694,plain,
% 6.28/4.53 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB25) <=> (~(v90(constB25, 2) | v90(constB25, 0) | (~v90(constB25, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB25) <=> (~(v90(constB25, 2) | v90(constB25, 0) | (~v90(constB25, 1))))))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6695,plain,
% 6.28/4.53 ((v121(constB25) <=> (~(v90(constB25, 0) | v90(constB25, 2) | (~v90(constB25, 1))))) <=> (v121(constB25) <=> (~(v90(constB25, 2) | v90(constB25, 0) | (~v90(constB25, 1)))))),
% 6.28/4.53 inference(rewrite,[status(thm)],[])).
% 6.28/4.53 tff(6696,plain,
% 6.28/4.53 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB25) <=> (~(v90(constB25, 0) | v90(constB25, 2) | (~v90(constB25, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB25) <=> (~(v90(constB25, 2) | v90(constB25, 0) | (~v90(constB25, 1))))))),
% 6.28/4.53 inference(monotonicity,[status(thm)],[6695])).
% 6.28/4.53 tff(6697,plain,
% 6.28/4.53 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB25) <=> (~(v90(constB25, 0) | v90(constB25, 2) | (~v90(constB25, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB25) <=> (~(v90(constB25, 2) | v90(constB25, 0) | (~v90(constB25, 1))))))),
% 6.28/4.53 inference(transitivity,[status(thm)],[6696, 6694])).
% 6.28/4.53 tff(6698,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB25) <=> (~(v90(constB25, 0) | v90(constB25, 2) | (~v90(constB25, 1)))))),
% 6.28/4.53 inference(quant_inst,[status(thm)],[])).
% 6.28/4.53 tff(6699,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB25) <=> (~(v90(constB25, 2) | v90(constB25, 0) | (~v90(constB25, 1)))))),
% 6.28/4.53 inference(modus_ponens,[status(thm)],[6698, 6697])).
% 6.28/4.53 tff(6700,plain,
% 6.28/4.53 (v121(constB25) <=> (~(v90(constB25, 2) | v90(constB25, 0) | (~v90(constB25, 1))))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6699, 723])).
% 6.28/4.53 tff(6701,plain,
% 6.28/4.53 ((v90(constB25, 2) | v90(constB25, 0) | (~v90(constB25, 1))) | (~v90(constB25, 2))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6702,plain,
% 6.28/4.53 (v90(constB25, 2) | v90(constB25, 0) | (~v90(constB25, 1))),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6701, 6638])).
% 6.28/4.53 tff(6703,plain,
% 6.28/4.53 ((~(v121(constB25) <=> (~(v90(constB25, 2) | v90(constB25, 0) | (~v90(constB25, 1)))))) | (~v121(constB25)) | (~(v90(constB25, 2) | v90(constB25, 0) | (~v90(constB25, 1))))),
% 6.28/4.53 inference(tautology,[status(thm)],[])).
% 6.28/4.53 tff(6704,plain,
% 6.28/4.53 (~v121(constB25)),
% 6.28/4.53 inference(unit_resolution,[status(thm)],[6703, 6702, 6700])).
% 6.28/4.53 tff(6705,plain,
% 6.28/4.53 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB25) <=> (~(v90(constB25, 1) | v90(constB25, 2) | (~v90(constB25, 0)))))),
% 6.28/4.54 inference(quant_inst,[status(thm)],[])).
% 6.28/4.54 tff(6706,plain,
% 6.28/4.54 (v120(constB25) <=> (~(v90(constB25, 1) | v90(constB25, 2) | (~v90(constB25, 0))))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6705, 417])).
% 6.28/4.54 tff(6707,plain,
% 6.28/4.54 ((v90(constB25, 1) | v90(constB25, 2) | (~v90(constB25, 0))) | (~v90(constB25, 2))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6708,plain,
% 6.28/4.54 (v90(constB25, 1) | v90(constB25, 2) | (~v90(constB25, 0))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6707, 6638])).
% 6.28/4.54 tff(6709,plain,
% 6.28/4.54 ((~(v120(constB25) <=> (~(v90(constB25, 1) | v90(constB25, 2) | (~v90(constB25, 0)))))) | (~v120(constB25)) | (~(v90(constB25, 1) | v90(constB25, 2) | (~v90(constB25, 0))))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6710,plain,
% 6.28/4.54 (~v120(constB25)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6709, 6708, 6706])).
% 6.28/4.54 tff(6711,plain,
% 6.28/4.54 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0)))))),
% 6.28/4.54 inference(rewrite,[status(thm)],[])).
% 6.28/4.54 tff(6712,plain,
% 6.28/4.54 ((v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~(v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0))))) <=> (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0)))))),
% 6.28/4.54 inference(rewrite,[status(thm)],[])).
% 6.28/4.54 tff(6713,plain,
% 6.28/4.54 ((~(v130(constB25, 1) | v130(constB25, 2) | (~v130(constB25, 0)))) <=> (~(v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0))))),
% 6.28/4.54 inference(rewrite,[status(thm)],[])).
% 6.28/4.54 tff(6714,plain,
% 6.28/4.54 ((v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~(v130(constB25, 1) | v130(constB25, 2) | (~v130(constB25, 0))))) <=> (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~(v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0)))))),
% 6.28/4.54 inference(monotonicity,[status(thm)],[6713])).
% 6.28/4.54 tff(6715,plain,
% 6.28/4.54 ((v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~(v130(constB25, 1) | v130(constB25, 2) | (~v130(constB25, 0))))) <=> (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0)))))),
% 6.28/4.54 inference(transitivity,[status(thm)],[6714, 6712])).
% 6.28/4.54 tff(6716,plain,
% 6.28/4.54 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~(v130(constB25, 1) | v130(constB25, 2) | (~v130(constB25, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0))))))),
% 6.28/4.54 inference(monotonicity,[status(thm)],[6715])).
% 6.28/4.54 tff(6717,plain,
% 6.28/4.54 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~(v130(constB25, 1) | v130(constB25, 2) | (~v130(constB25, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0)))))),
% 6.28/4.54 inference(transitivity,[status(thm)],[6716, 6711])).
% 6.28/4.54 tff(6718,plain,
% 6.28/4.54 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~(v130(constB25, 1) | v130(constB25, 2) | (~v130(constB25, 0)))))),
% 6.28/4.54 inference(quant_inst,[status(thm)],[])).
% 6.28/4.54 tff(6719,plain,
% 6.28/4.54 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0))))),
% 6.28/4.54 inference(modus_ponens,[status(thm)],[6718, 6717])).
% 6.28/4.54 tff(6720,plain,
% 6.28/4.54 (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0))))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6719, 5059])).
% 6.28/4.54 tff(6721,plain,
% 6.28/4.54 (~(v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0)))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6720, 6710, 6704, 6693, 6682, 6671, 6642])).
% 6.28/4.54 tff(6722,plain,
% 6.28/4.54 ((v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0))) | (~v130(constB25, 2))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6723,plain,
% 6.28/4.54 (~v130(constB25, 2)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6722, 6721])).
% 6.28/4.54 tff(6724,plain,
% 6.28/4.54 (((~v127(constB25, 2)) <=> v130(constB25, 2)) | (~v127(constB25, 2)) | v130(constB25, 2)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6725,plain,
% 6.28/4.54 (~v127(constB25, 2)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6724, 6723, 3730])).
% 6.28/4.54 tff(6726,plain,
% 6.28/4.54 (((~v129(constB26, 2)) <=> v127(constB25, 2)) | (~v129(constB26, 2)) | v127(constB25, 2)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6727,plain,
% 6.28/4.54 (~v129(constB26, 2)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6726, 6725, 3716])).
% 6.28/4.54 tff(6728,plain,
% 6.28/4.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))))),
% 6.28/4.54 inference(rewrite,[status(thm)],[])).
% 6.28/4.54 tff(6729,plain,
% 6.28/4.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))))),
% 6.28/4.54 inference(quant_inst,[status(thm)],[])).
% 6.28/4.54 tff(6730,plain,
% 6.28/4.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26)))))),
% 6.28/4.54 inference(modus_ponens,[status(thm)],[6729, 6728])).
% 6.28/4.54 tff(6731,plain,
% 6.28/4.54 (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6730, 3710, 273])).
% 6.28/4.54 tff(6732,plain,
% 6.28/4.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))),
% 6.28/4.54 inference(rewrite,[status(thm)],[])).
% 6.28/4.54 tff(6733,plain,
% 6.28/4.54 (((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26)))))) <=> ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))),
% 6.28/4.54 inference(rewrite,[status(thm)],[])).
% 6.28/4.54 tff(6734,plain,
% 6.28/4.54 (((~![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) <=> (~((~v1(constB26)) | (~v102(constB26)))))))),
% 6.28/4.54 inference(monotonicity,[status(thm)],[6733])).
% 6.28/4.54 tff(6735,plain,
% 6.28/4.54 (((~![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) <=> (~((~v1(constB26)) | (~v102(constB26))))))),
% 6.28/4.54 inference(transitivity,[status(thm)],[6734, 6732])).
% 6.28/4.54 tff(6736,plain,
% 6.28/4.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26))))))),
% 6.28/4.54 inference(quant_inst,[status(thm)],[])).
% 6.28/4.54 tff(6737,plain,
% 6.28/4.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26)))))),
% 6.28/4.54 inference(modus_ponens,[status(thm)],[6736, 6735])).
% 6.28/4.54 tff(6738,plain,
% 6.28/4.54 (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6737, 3710, 293])).
% 6.28/4.54 tff(6739,plain,
% 6.28/4.54 (((~![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)))),
% 6.28/4.54 inference(rewrite,[status(thm)],[])).
% 6.28/4.54 tff(6740,plain,
% 6.28/4.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26)))),
% 6.28/4.54 inference(quant_inst,[status(thm)],[])).
% 6.28/4.54 tff(6741,plain,
% 6.28/4.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26))),
% 6.28/4.54 inference(modus_ponens,[status(thm)],[6740, 6739])).
% 6.28/4.54 tff(6742,plain,
% 6.28/4.54 ((~v102(constB26)) <=> v104(constB26)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6741, 3710, 4609])).
% 6.28/4.54 tff(6743,plain,
% 6.28/4.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25)))),
% 6.28/4.54 inference(rewrite,[status(thm)],[])).
% 6.28/4.54 tff(6744,plain,
% 6.28/4.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25)))),
% 6.28/4.54 inference(quant_inst,[status(thm)],[])).
% 6.28/4.54 tff(6745,plain,
% 6.28/4.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25))),
% 6.28/4.54 inference(modus_ponens,[status(thm)],[6744, 6743])).
% 6.28/4.54 tff(6746,plain,
% 6.28/4.54 (v104(constB26) <=> v1(constB25)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6745, 3710, 4623])).
% 6.28/4.54 tff(6747,plain,
% 6.28/4.54 ((~(v104(constB26) <=> v1(constB25))) | (~v104(constB26)) | v1(constB25)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6748,plain,
% 6.28/4.54 ((~(v104(constB26) <=> v1(constB25))) | (~v104(constB26))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6747, 3749])).
% 6.28/4.54 tff(6749,plain,
% 6.28/4.54 (~v104(constB26)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6748, 6746])).
% 6.28/4.54 tff(6750,plain,
% 6.28/4.54 ((~((~v102(constB26)) <=> v104(constB26))) | v102(constB26) | v104(constB26)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6751,plain,
% 6.28/4.54 (v102(constB26)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6750, 6749, 6742])).
% 6.28/4.54 tff(6752,plain,
% 6.28/4.54 (v1(constB26) <=> v1(constB26)),
% 6.28/4.54 inference(rewrite,[status(thm)],[])).
% 6.28/4.54 tff(6753,axiom,(v1(constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_26')).
% 6.28/4.54 tff(6754,plain,
% 6.28/4.54 (v1(constB26)),
% 6.28/4.54 inference(modus_ponens,[status(thm)],[6753, 6752])).
% 6.28/4.54 tff(6755,plain,
% 6.28/4.54 ((~((~v1(constB26)) | (~v102(constB26)))) | (~v1(constB26)) | (~v102(constB26))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6756,plain,
% 6.28/4.54 ((~((~v1(constB26)) | (~v102(constB26)))) | (~v102(constB26))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6755, 6754])).
% 6.28/4.54 tff(6757,plain,
% 6.28/4.54 (~((~v1(constB26)) | (~v102(constB26)))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6756, 6751])).
% 6.28/4.54 tff(6758,plain,
% 6.28/4.54 ((~(v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26)))))) | v101(constB26) | ((~v1(constB26)) | (~v102(constB26)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6759,plain,
% 6.28/4.54 (v101(constB26)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6758, 6757, 6738])).
% 6.28/4.54 tff(6760,plain,
% 6.28/4.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25)))),
% 6.28/4.54 inference(rewrite,[status(thm)],[])).
% 6.28/4.54 tff(6761,plain,
% 6.28/4.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25)))),
% 6.28/4.54 inference(quant_inst,[status(thm)],[])).
% 6.28/4.54 tff(6762,plain,
% 6.28/4.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25))),
% 6.28/4.54 inference(modus_ponens,[status(thm)],[6761, 6760])).
% 6.28/4.54 tff(6763,plain,
% 6.28/4.54 (v110(constB26) <=> v108(constB25)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6762, 3710, 4650])).
% 6.28/4.54 tff(6764,plain,
% 6.28/4.54 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB25) <=> (v111(constB25) | v112(constB25)))),
% 6.28/4.54 inference(quant_inst,[status(thm)],[])).
% 6.28/4.54 tff(6765,plain,
% 6.28/4.54 (v108(constB25) <=> (v111(constB25) | v112(constB25))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6764, 4661])).
% 6.28/4.54 tff(6766,plain,
% 6.28/4.54 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25)))))),
% 6.28/4.54 inference(quant_inst,[status(thm)],[])).
% 6.28/4.54 tff(6767,plain,
% 6.28/4.54 (v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25))))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6766, 4673])).
% 6.28/4.54 tff(6768,plain,
% 6.28/4.54 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB25) <=> (v114(constB25) | v125(constB25)))),
% 6.28/4.54 inference(quant_inst,[status(thm)],[])).
% 6.28/4.54 tff(6769,plain,
% 6.28/4.54 (v113(constB25) <=> (v114(constB25) | v125(constB25))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6768, 4682])).
% 6.28/4.54 tff(6770,plain,
% 6.28/4.54 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB25) <=> (~(v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)))))),
% 6.28/4.54 inference(quant_inst,[status(thm)],[])).
% 6.28/4.54 tff(6771,plain,
% 6.28/4.54 (v125(constB25) <=> (~(v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2))))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6770, 5131])).
% 6.28/4.54 tff(6772,plain,
% 6.28/4.54 ((((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0))) | (~((~v90(constB25, 0)) <=> v90(constB24, 0)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6773,plain,
% 6.28/4.54 (~((~v90(constB25, 0)) <=> v90(constB24, 0))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6772, 3766])).
% 6.28/4.54 tff(6774,plain,
% 6.28/4.54 ((((~v129(constB24, 2)) <=> v127(constB23, 2)) | ((~v129(constB24, 1)) <=> v127(constB23, 1)) | ((~v129(constB24, 0)) <=> v127(constB23, 0))) | (~((~v129(constB24, 0)) <=> v127(constB23, 0)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6775,plain,
% 6.28/4.54 (~((~v129(constB24, 0)) <=> v127(constB23, 0))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6774, 3775])).
% 6.28/4.54 tff(6776,plain,
% 6.28/4.54 ((((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0))) | (~((~v127(constB23, 0)) <=> v130(constB23, 0)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6777,plain,
% 6.28/4.54 (~((~v127(constB23, 0)) <=> v130(constB23, 0))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6776, 3789])).
% 6.28/4.54 tff(6778,plain,
% 6.28/4.54 ((v130(constB23, 0) | (~v130(constB23, 2)) | (~v130(constB23, 1))) | (~v130(constB23, 0))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6779,plain,
% 6.28/4.54 (~v130(constB23, 0)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6778, 6543])).
% 6.28/4.54 tff(6780,plain,
% 6.28/4.54 (((~v127(constB23, 0)) <=> v130(constB23, 0)) | (~v127(constB23, 0)) | v130(constB23, 0)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6781,plain,
% 6.28/4.54 (~v127(constB23, 0)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6780, 6779, 6777])).
% 6.28/4.54 tff(6782,plain,
% 6.28/4.54 (((~v129(constB24, 0)) <=> v127(constB23, 0)) | (~v129(constB24, 0)) | v127(constB23, 0)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6783,plain,
% 6.28/4.54 (~v129(constB24, 0)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6782, 6781, 6775])).
% 6.28/4.54 tff(6784,plain,
% 6.28/4.54 ((((~v90(constB24, 2)) <=> v129(constB24, 2)) | ((~v90(constB24, 1)) <=> v129(constB24, 1)) | ((~v90(constB24, 0)) <=> v129(constB24, 0))) | (~((~v90(constB24, 0)) <=> v129(constB24, 0)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6785,plain,
% 6.28/4.54 (~((~v90(constB24, 0)) <=> v129(constB24, 0))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6784, 6632])).
% 6.28/4.54 tff(6786,plain,
% 6.28/4.54 (((~v90(constB24, 0)) <=> v129(constB24, 0)) | (~v90(constB24, 0)) | v129(constB24, 0)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6787,plain,
% 6.28/4.54 (~v90(constB24, 0)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6786, 6785, 6783])).
% 6.28/4.54 tff(6788,plain,
% 6.28/4.54 (((~v90(constB25, 0)) <=> v90(constB24, 0)) | (~v90(constB25, 0)) | v90(constB24, 0)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6789,plain,
% 6.28/4.54 (~v90(constB25, 0)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6788, 6787, 6773])).
% 6.28/4.54 tff(6790,plain,
% 6.28/4.54 ((~(v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)))) | v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6791,plain,
% 6.28/4.54 (~(v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6790, 6667, 6789, 6638])).
% 6.28/4.54 tff(6792,plain,
% 6.28/4.54 ((~(v125(constB25) <=> (~(v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)))))) | v125(constB25) | (v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6793,plain,
% 6.28/4.54 (v125(constB25)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6792, 6791, 6771])).
% 6.28/4.54 tff(6794,plain,
% 6.28/4.54 ((v114(constB25) | v125(constB25)) | (~v125(constB25))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6795,plain,
% 6.28/4.54 (v114(constB25) | v125(constB25)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6794, 6793])).
% 6.28/4.54 tff(6796,plain,
% 6.28/4.54 ((~(v113(constB25) <=> (v114(constB25) | v125(constB25)))) | v113(constB25) | (~(v114(constB25) | v125(constB25)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6797,plain,
% 6.28/4.54 (v113(constB25)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6796, 6795, 6769])).
% 6.28/4.54 tff(6798,plain,
% 6.28/4.54 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB25)) <=> v111(constB25))),
% 6.28/4.54 inference(quant_inst,[status(thm)],[])).
% 6.28/4.54 tff(6799,plain,
% 6.28/4.54 ((~v126(constB25)) <=> v111(constB25)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6798, 4761])).
% 6.28/4.54 tff(6800,plain,
% 6.28/4.54 ((~((~v126(constB25)) <=> v111(constB25))) | v126(constB25) | v111(constB25)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6801,plain,
% 6.28/4.54 ((~((~v126(constB25)) <=> v111(constB25))) | v126(constB25)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6800, 3723])).
% 6.28/4.54 tff(6802,plain,
% 6.28/4.54 (v126(constB25)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6801, 6799])).
% 6.28/4.54 tff(6803,plain,
% 6.28/4.54 ((~((~v113(constB25)) | (~v126(constB25)))) | (~v113(constB25)) | (~v126(constB25))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6804,plain,
% 6.28/4.54 ((~((~v113(constB25)) | (~v126(constB25)))) | (~v113(constB25))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6803, 6802])).
% 6.28/4.54 tff(6805,plain,
% 6.28/4.54 (~((~v113(constB25)) | (~v126(constB25)))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6804, 6797])).
% 6.28/4.54 tff(6806,plain,
% 6.28/4.54 ((~(v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25)))))) | v112(constB25) | ((~v113(constB25)) | (~v126(constB25)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6807,plain,
% 6.28/4.54 (v112(constB25)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6806, 6805, 6767])).
% 6.28/4.54 tff(6808,plain,
% 6.28/4.54 ((v111(constB25) | v112(constB25)) | (~v112(constB25))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6809,plain,
% 6.28/4.54 (v111(constB25) | v112(constB25)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6808, 6807])).
% 6.28/4.54 tff(6810,plain,
% 6.28/4.54 ((~(v108(constB25) <=> (v111(constB25) | v112(constB25)))) | v108(constB25) | (~(v111(constB25) | v112(constB25)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6811,plain,
% 6.28/4.54 (v108(constB25)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6810, 6809, 6765])).
% 6.28/4.54 tff(6812,plain,
% 6.28/4.54 ((~(v110(constB26) <=> v108(constB25))) | v110(constB26) | (~v108(constB25))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6813,plain,
% 6.28/4.54 (v110(constB26)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6812, 6811, 6763])).
% 6.28/4.54 tff(6814,plain,
% 6.28/4.54 ((~((~v101(constB26)) | (~v110(constB26)))) | (~v101(constB26)) | (~v110(constB26))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6815,plain,
% 6.28/4.54 (~((~v101(constB26)) | (~v110(constB26)))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6814, 6813, 6759])).
% 6.28/4.54 tff(6816,plain,
% 6.28/4.54 ((~(v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26)))))) | v100(constB26) | ((~v101(constB26)) | (~v110(constB26)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6817,plain,
% 6.28/4.54 (v100(constB26)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6816, 6815, 6731])).
% 6.28/4.54 tff(6818,plain,
% 6.28/4.54 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB26)) | (~(((~v90(constB26, 0)) <=> v129(constB26, 0)) | ((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB26)) | (~(((~v90(constB26, 0)) <=> v129(constB26, 0)) | ((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1)))))),
% 6.28/4.54 inference(rewrite,[status(thm)],[])).
% 6.28/4.54 tff(6819,plain,
% 6.28/4.54 (((~v100(constB26)) | (~(((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1)) | ((~v90(constB26, 0)) <=> v129(constB26, 0))))) <=> ((~v100(constB26)) | (~(((~v90(constB26, 0)) <=> v129(constB26, 0)) | ((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1)))))),
% 6.28/4.54 inference(rewrite,[status(thm)],[])).
% 6.28/4.54 tff(6820,plain,
% 6.28/4.54 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB26)) | (~(((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1)) | ((~v90(constB26, 0)) <=> v129(constB26, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB26)) | (~(((~v90(constB26, 0)) <=> v129(constB26, 0)) | ((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1))))))),
% 6.28/4.54 inference(monotonicity,[status(thm)],[6819])).
% 6.28/4.54 tff(6821,plain,
% 6.28/4.54 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB26)) | (~(((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1)) | ((~v90(constB26, 0)) <=> v129(constB26, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB26)) | (~(((~v90(constB26, 0)) <=> v129(constB26, 0)) | ((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1)))))),
% 6.28/4.54 inference(transitivity,[status(thm)],[6820, 6818])).
% 6.28/4.54 tff(6822,plain,
% 6.28/4.54 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB26)) | (~(((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1)) | ((~v90(constB26, 0)) <=> v129(constB26, 0)))))),
% 6.28/4.54 inference(quant_inst,[status(thm)],[])).
% 6.28/4.54 tff(6823,plain,
% 6.28/4.54 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB26)) | (~(((~v90(constB26, 0)) <=> v129(constB26, 0)) | ((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1))))),
% 6.28/4.54 inference(modus_ponens,[status(thm)],[6822, 6821])).
% 6.28/4.54 tff(6824,plain,
% 6.28/4.54 ((~v100(constB26)) | (~(((~v90(constB26, 0)) <=> v129(constB26, 0)) | ((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1))))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6823, 4794])).
% 6.28/4.54 tff(6825,plain,
% 6.28/4.54 (~(((~v90(constB26, 0)) <=> v129(constB26, 0)) | ((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1)))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6824, 6817])).
% 6.28/4.54 tff(6826,plain,
% 6.28/4.54 ((((~v90(constB26, 0)) <=> v129(constB26, 0)) | ((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1))) | (~((~v90(constB26, 2)) <=> v129(constB26, 2)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6827,plain,
% 6.28/4.54 (~((~v90(constB26, 2)) <=> v129(constB26, 2))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6826, 6825])).
% 6.28/4.54 tff(6828,plain,
% 6.28/4.54 (((~v90(constB26, 2)) <=> v129(constB26, 2)) | (~v90(constB26, 2)) | v129(constB26, 2)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6829,plain,
% 6.28/4.54 (~v90(constB26, 2)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6828, 6827, 6727])).
% 6.28/4.54 tff(6830,plain,
% 6.28/4.54 (((~v90(constB27, 2)) <=> v90(constB26, 2)) | (~v90(constB27, 2)) | v90(constB26, 2)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6831,plain,
% 6.28/4.54 (~v90(constB27, 2)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6830, 6829, 3707])).
% 6.28/4.54 tff(6832,plain,
% 6.28/4.54 ((((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0))) | (~((~v90(constB27, 0)) <=> v90(constB26, 0)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6833,plain,
% 6.28/4.54 (~((~v90(constB27, 0)) <=> v90(constB26, 0))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6832, 3705])).
% 6.28/4.54 tff(6834,plain,
% 6.28/4.54 ((((~v129(constB26, 2)) <=> v127(constB25, 2)) | ((~v129(constB26, 1)) <=> v127(constB25, 1)) | ((~v129(constB26, 0)) <=> v127(constB25, 0))) | (~((~v129(constB26, 0)) <=> v127(constB25, 0)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6835,plain,
% 6.28/4.54 (~((~v129(constB26, 0)) <=> v127(constB25, 0))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6834, 3714])).
% 6.28/4.54 tff(6836,plain,
% 6.28/4.54 ((((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0))) | (~((~v127(constB25, 0)) <=> v130(constB25, 0)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6837,plain,
% 6.28/4.54 (~((~v127(constB25, 0)) <=> v130(constB25, 0))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6836, 3728])).
% 6.28/4.54 tff(6838,plain,
% 6.28/4.54 ((v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0))) | v130(constB25, 0)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6839,plain,
% 6.28/4.54 (v130(constB25, 0)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6838, 6721])).
% 6.28/4.54 tff(6840,plain,
% 6.28/4.54 (((~v127(constB25, 0)) <=> v130(constB25, 0)) | v127(constB25, 0) | (~v130(constB25, 0))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6841,plain,
% 6.28/4.54 (v127(constB25, 0)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6840, 6839, 6837])).
% 6.28/4.54 tff(6842,plain,
% 6.28/4.54 (((~v129(constB26, 0)) <=> v127(constB25, 0)) | v129(constB26, 0) | (~v127(constB25, 0))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6843,plain,
% 6.28/4.54 (v129(constB26, 0)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6842, 6841, 6835])).
% 6.28/4.54 tff(6844,plain,
% 6.28/4.54 ((((~v90(constB26, 0)) <=> v129(constB26, 0)) | ((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1))) | (~((~v90(constB26, 0)) <=> v129(constB26, 0)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6845,plain,
% 6.28/4.54 (~((~v90(constB26, 0)) <=> v129(constB26, 0))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6844, 6825])).
% 6.28/4.54 tff(6846,plain,
% 6.28/4.54 (((~v90(constB26, 0)) <=> v129(constB26, 0)) | v90(constB26, 0) | (~v129(constB26, 0))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6847,plain,
% 6.28/4.54 (v90(constB26, 0)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6846, 6845, 6843])).
% 6.28/4.54 tff(6848,plain,
% 6.28/4.54 (((~v90(constB27, 0)) <=> v90(constB26, 0)) | v90(constB27, 0) | (~v90(constB26, 0))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6849,plain,
% 6.28/4.54 (v90(constB27, 0)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6848, 6847, 6833])).
% 6.28/4.54 tff(6850,plain,
% 6.28/4.54 ((((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0))) | (~((~v90(constB27, 1)) <=> v90(constB26, 1)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6851,plain,
% 6.28/4.54 (~((~v90(constB27, 1)) <=> v90(constB26, 1))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6850, 3705])).
% 6.28/4.54 tff(6852,plain,
% 6.28/4.54 ((((~v129(constB26, 2)) <=> v127(constB25, 2)) | ((~v129(constB26, 1)) <=> v127(constB25, 1)) | ((~v129(constB26, 0)) <=> v127(constB25, 0))) | (~((~v129(constB26, 1)) <=> v127(constB25, 1)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6853,plain,
% 6.28/4.54 (~((~v129(constB26, 1)) <=> v127(constB25, 1))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6852, 3714])).
% 6.28/4.54 tff(6854,plain,
% 6.28/4.54 ((((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0))) | (~((~v127(constB25, 1)) <=> v130(constB25, 1)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6855,plain,
% 6.28/4.54 (~((~v127(constB25, 1)) <=> v130(constB25, 1))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6854, 3728])).
% 6.28/4.54 tff(6856,plain,
% 6.28/4.54 ((v130(constB25, 2) | v130(constB25, 1) | (~v130(constB25, 0))) | (~v130(constB25, 1))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6857,plain,
% 6.28/4.54 (~v130(constB25, 1)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6856, 6721])).
% 6.28/4.54 tff(6858,plain,
% 6.28/4.54 (((~v127(constB25, 1)) <=> v130(constB25, 1)) | (~v127(constB25, 1)) | v130(constB25, 1)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6859,plain,
% 6.28/4.54 (~v127(constB25, 1)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6858, 6857, 6855])).
% 6.28/4.54 tff(6860,plain,
% 6.28/4.54 (((~v129(constB26, 1)) <=> v127(constB25, 1)) | (~v129(constB26, 1)) | v127(constB25, 1)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6861,plain,
% 6.28/4.54 (~v129(constB26, 1)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6860, 6859, 6853])).
% 6.28/4.54 tff(6862,plain,
% 6.28/4.54 ((((~v90(constB26, 0)) <=> v129(constB26, 0)) | ((~v90(constB26, 2)) <=> v129(constB26, 2)) | ((~v90(constB26, 1)) <=> v129(constB26, 1))) | (~((~v90(constB26, 1)) <=> v129(constB26, 1)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6863,plain,
% 6.28/4.54 (~((~v90(constB26, 1)) <=> v129(constB26, 1))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6862, 6825])).
% 6.28/4.54 tff(6864,plain,
% 6.28/4.54 (((~v90(constB26, 1)) <=> v129(constB26, 1)) | (~v90(constB26, 1)) | v129(constB26, 1)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6865,plain,
% 6.28/4.54 (~v90(constB26, 1)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6864, 6863, 6861])).
% 6.28/4.54 tff(6866,plain,
% 6.28/4.54 (((~v90(constB27, 1)) <=> v90(constB26, 1)) | (~v90(constB27, 1)) | v90(constB26, 1)),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6867,plain,
% 6.28/4.54 (~v90(constB27, 1)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6866, 6865, 6851])).
% 6.28/4.54 tff(6868,plain,
% 6.28/4.54 ((~(v90(constB27, 1) | v90(constB27, 2) | (~v90(constB27, 0)))) | v90(constB27, 1) | v90(constB27, 2) | (~v90(constB27, 0))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6869,plain,
% 6.28/4.54 (~(v90(constB27, 1) | v90(constB27, 2) | (~v90(constB27, 0)))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6868, 6867, 6849, 6831])).
% 6.28/4.54 tff(6870,plain,
% 6.28/4.54 ((~(v120(constB27) <=> (~(v90(constB27, 1) | v90(constB27, 2) | (~v90(constB27, 0)))))) | v120(constB27) | (v90(constB27, 1) | v90(constB27, 2) | (~v90(constB27, 0)))),
% 6.28/4.54 inference(tautology,[status(thm)],[])).
% 6.28/4.54 tff(6871,plain,
% 6.28/4.54 (v120(constB27)),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6870, 6869, 3671])).
% 6.28/4.54 tff(6872,plain,
% 6.28/4.54 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB27)) | (~(v130(constB27, 2) | v130(constB27, 0) | (~v130(constB27, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB27)) | (~(v130(constB27, 2) | v130(constB27, 0) | (~v130(constB27, 1)))))),
% 6.28/4.54 inference(rewrite,[status(thm)],[])).
% 6.28/4.54 tff(6873,plain,
% 6.28/4.54 (((~v120(constB27)) | (~(v130(constB27, 0) | v130(constB27, 2) | (~v130(constB27, 1))))) <=> ((~v120(constB27)) | (~(v130(constB27, 2) | v130(constB27, 0) | (~v130(constB27, 1)))))),
% 6.28/4.54 inference(rewrite,[status(thm)],[])).
% 6.28/4.54 tff(6874,plain,
% 6.28/4.54 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB27)) | (~(v130(constB27, 0) | v130(constB27, 2) | (~v130(constB27, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB27)) | (~(v130(constB27, 2) | v130(constB27, 0) | (~v130(constB27, 1))))))),
% 6.28/4.54 inference(monotonicity,[status(thm)],[6873])).
% 6.28/4.54 tff(6875,plain,
% 6.28/4.54 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB27)) | (~(v130(constB27, 0) | v130(constB27, 2) | (~v130(constB27, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB27)) | (~(v130(constB27, 2) | v130(constB27, 0) | (~v130(constB27, 1)))))),
% 6.28/4.54 inference(transitivity,[status(thm)],[6874, 6872])).
% 6.28/4.54 tff(6876,plain,
% 6.28/4.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB27)) | (~(v130(constB27, 0) | v130(constB27, 2) | (~v130(constB27, 1)))))),
% 6.28/4.54 inference(quant_inst,[status(thm)],[])).
% 6.28/4.54 tff(6877,plain,
% 6.28/4.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB27)) | (~(v130(constB27, 2) | v130(constB27, 0) | (~v130(constB27, 1))))),
% 6.28/4.54 inference(modus_ponens,[status(thm)],[6876, 6875])).
% 6.28/4.54 tff(6878,plain,
% 6.28/4.54 ((~v120(constB27)) | (~(v130(constB27, 2) | v130(constB27, 0) | (~v130(constB27, 1))))),
% 6.28/4.54 inference(unit_resolution,[status(thm)],[6877, 5246])).
% 6.28/4.55 tff(6879,plain,
% 6.28/4.55 (~(v130(constB27, 2) | v130(constB27, 0) | (~v130(constB27, 1)))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6878, 6871])).
% 6.28/4.55 tff(6880,plain,
% 6.28/4.55 ((v130(constB27, 2) | v130(constB27, 0) | (~v130(constB27, 1))) | (~v130(constB27, 2))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6881,plain,
% 6.28/4.55 (~v130(constB27, 2)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6880, 6879])).
% 6.28/4.55 tff(6882,plain,
% 6.28/4.55 (((~v127(constB27, 2)) <=> v130(constB27, 2)) | (~v127(constB27, 2)) | v130(constB27, 2)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6883,plain,
% 6.28/4.55 (~v127(constB27, 2)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6882, 6881, 3669])).
% 6.28/4.55 tff(6884,plain,
% 6.28/4.55 (((~v129(constB28, 2)) <=> v127(constB27, 2)) | (~v129(constB28, 2)) | v127(constB27, 2)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6885,plain,
% 6.28/4.55 (~v129(constB28, 2)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6884, 6883, 3655])).
% 6.28/4.55 tff(6886,plain,
% 6.28/4.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))))),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(6887,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6888,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28)))))),
% 6.28/4.55 inference(modus_ponens,[status(thm)],[6887, 6886])).
% 6.28/4.55 tff(6889,plain,
% 6.28/4.55 (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6888, 3649, 273])).
% 6.28/4.55 tff(6890,plain,
% 6.28/4.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(6891,plain,
% 6.28/4.55 (((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28)))))) <=> ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(6892,plain,
% 6.28/4.55 (((~![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) <=> (~((~v1(constB28)) | (~v102(constB28)))))))),
% 6.28/4.55 inference(monotonicity,[status(thm)],[6891])).
% 6.28/4.55 tff(6893,plain,
% 6.28/4.55 (((~![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) <=> (~((~v1(constB28)) | (~v102(constB28))))))),
% 6.28/4.55 inference(transitivity,[status(thm)],[6892, 6890])).
% 6.28/4.55 tff(6894,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28))))))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6895,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28)))))),
% 6.28/4.55 inference(modus_ponens,[status(thm)],[6894, 6893])).
% 6.28/4.55 tff(6896,plain,
% 6.28/4.55 (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6895, 3649, 293])).
% 6.28/4.55 tff(6897,plain,
% 6.28/4.55 (((~![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)))),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(6898,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6899,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28))),
% 6.28/4.55 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 6.28/4.55 tff(6900,plain,
% 6.28/4.55 ((~v102(constB28)) <=> v104(constB28)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6899, 3649, 4609])).
% 6.28/4.55 tff(6901,plain,
% 6.28/4.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27)))),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(6902,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6903,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27))),
% 6.28/4.55 inference(modus_ponens,[status(thm)],[6902, 6901])).
% 6.28/4.55 tff(6904,plain,
% 6.28/4.55 (v104(constB28) <=> v1(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6903, 3649, 4623])).
% 6.28/4.55 tff(6905,plain,
% 6.28/4.55 ((~(v104(constB28) <=> v1(constB27))) | (~v104(constB28)) | v1(constB27)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6906,plain,
% 6.28/4.55 ((~(v104(constB28) <=> v1(constB27))) | (~v104(constB28))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6905, 3688])).
% 6.28/4.55 tff(6907,plain,
% 6.28/4.55 (~v104(constB28)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6906, 6904])).
% 6.28/4.55 tff(6908,plain,
% 6.28/4.55 ((~((~v102(constB28)) <=> v104(constB28))) | v102(constB28) | v104(constB28)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6909,plain,
% 6.28/4.55 (v102(constB28)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6908, 6907, 6900])).
% 6.28/4.55 tff(6910,plain,
% 6.28/4.55 (v1(constB28) <=> v1(constB28)),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(6911,axiom,(v1(constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_28')).
% 6.28/4.55 tff(6912,plain,
% 6.28/4.55 (v1(constB28)),
% 6.28/4.55 inference(modus_ponens,[status(thm)],[6911, 6910])).
% 6.28/4.55 tff(6913,plain,
% 6.28/4.55 ((~((~v1(constB28)) | (~v102(constB28)))) | (~v1(constB28)) | (~v102(constB28))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6914,plain,
% 6.28/4.55 ((~((~v1(constB28)) | (~v102(constB28)))) | (~v102(constB28))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6913, 6912])).
% 6.28/4.55 tff(6915,plain,
% 6.28/4.55 (~((~v1(constB28)) | (~v102(constB28)))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6914, 6909])).
% 6.28/4.55 tff(6916,plain,
% 6.28/4.55 ((~(v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28)))))) | v101(constB28) | ((~v1(constB28)) | (~v102(constB28)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6917,plain,
% 6.28/4.55 (v101(constB28)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6916, 6915, 6896])).
% 6.28/4.55 tff(6918,plain,
% 6.28/4.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27)))),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(6919,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6920,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27))),
% 6.28/4.55 inference(modus_ponens,[status(thm)],[6919, 6918])).
% 6.28/4.55 tff(6921,plain,
% 6.28/4.55 (v110(constB28) <=> v108(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6920, 3649, 4650])).
% 6.28/4.55 tff(6922,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB27) <=> (v111(constB27) | v112(constB27)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6923,plain,
% 6.28/4.55 (v108(constB27) <=> (v111(constB27) | v112(constB27))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6922, 4661])).
% 6.28/4.55 tff(6924,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27)))))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6925,plain,
% 6.28/4.55 (v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27))))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6924, 4673])).
% 6.28/4.55 tff(6926,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB27) <=> (v114(constB27) | v125(constB27)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6927,plain,
% 6.28/4.55 (v113(constB27) <=> (v114(constB27) | v125(constB27))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6926, 4682])).
% 6.28/4.55 tff(6928,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB27) <=> (v115(constB27) | v124(constB27)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6929,plain,
% 6.28/4.55 (v114(constB27) <=> (v115(constB27) | v124(constB27))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6928, 4691])).
% 6.28/4.55 tff(6930,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB27) <=> (v116(constB27) | v123(constB27)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6931,plain,
% 6.28/4.55 (v115(constB27) <=> (v116(constB27) | v123(constB27))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6930, 4700])).
% 6.28/4.55 tff(6932,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB27) <=> (v117(constB27) | v122(constB27)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6933,plain,
% 6.28/4.55 (v116(constB27) <=> (v117(constB27) | v122(constB27))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6932, 4709])).
% 6.28/4.55 tff(6934,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB27) <=> (v118(constB27) | v121(constB27)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6935,plain,
% 6.28/4.55 (v117(constB27) <=> (v118(constB27) | v121(constB27))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6934, 4718])).
% 6.28/4.55 tff(6936,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB27) <=> (v119(constB27) | v120(constB27)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6937,plain,
% 6.28/4.55 (v118(constB27) <=> (v119(constB27) | v120(constB27))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6936, 4727])).
% 6.28/4.55 tff(6938,plain,
% 6.28/4.55 ((v119(constB27) | v120(constB27)) | (~v120(constB27))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6939,plain,
% 6.28/4.55 (v119(constB27) | v120(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6938, 6871])).
% 6.28/4.55 tff(6940,plain,
% 6.28/4.55 ((~(v118(constB27) <=> (v119(constB27) | v120(constB27)))) | v118(constB27) | (~(v119(constB27) | v120(constB27)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6941,plain,
% 6.28/4.55 (v118(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6940, 6939, 6937])).
% 6.28/4.55 tff(6942,plain,
% 6.28/4.55 ((v118(constB27) | v121(constB27)) | (~v118(constB27))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6943,plain,
% 6.28/4.55 (v118(constB27) | v121(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6942, 6941])).
% 6.28/4.55 tff(6944,plain,
% 6.28/4.55 ((~(v117(constB27) <=> (v118(constB27) | v121(constB27)))) | v117(constB27) | (~(v118(constB27) | v121(constB27)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6945,plain,
% 6.28/4.55 (v117(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6944, 6943, 6935])).
% 6.28/4.55 tff(6946,plain,
% 6.28/4.55 ((v117(constB27) | v122(constB27)) | (~v117(constB27))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6947,plain,
% 6.28/4.55 (v117(constB27) | v122(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6946, 6945])).
% 6.28/4.55 tff(6948,plain,
% 6.28/4.55 ((~(v116(constB27) <=> (v117(constB27) | v122(constB27)))) | v116(constB27) | (~(v117(constB27) | v122(constB27)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6949,plain,
% 6.28/4.55 (v116(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6948, 6947, 6933])).
% 6.28/4.55 tff(6950,plain,
% 6.28/4.55 ((v116(constB27) | v123(constB27)) | (~v116(constB27))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6951,plain,
% 6.28/4.55 (v116(constB27) | v123(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6950, 6949])).
% 6.28/4.55 tff(6952,plain,
% 6.28/4.55 ((~(v115(constB27) <=> (v116(constB27) | v123(constB27)))) | v115(constB27) | (~(v116(constB27) | v123(constB27)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6953,plain,
% 6.28/4.55 (v115(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6952, 6951, 6931])).
% 6.28/4.55 tff(6954,plain,
% 6.28/4.55 ((v115(constB27) | v124(constB27)) | (~v115(constB27))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6955,plain,
% 6.28/4.55 (v115(constB27) | v124(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6954, 6953])).
% 6.28/4.55 tff(6956,plain,
% 6.28/4.55 ((~(v114(constB27) <=> (v115(constB27) | v124(constB27)))) | v114(constB27) | (~(v115(constB27) | v124(constB27)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6957,plain,
% 6.28/4.55 (v114(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6956, 6955, 6929])).
% 6.28/4.55 tff(6958,plain,
% 6.28/4.55 ((v114(constB27) | v125(constB27)) | (~v114(constB27))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6959,plain,
% 6.28/4.55 (v114(constB27) | v125(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6958, 6957])).
% 6.28/4.55 tff(6960,plain,
% 6.28/4.55 ((~(v113(constB27) <=> (v114(constB27) | v125(constB27)))) | v113(constB27) | (~(v114(constB27) | v125(constB27)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6961,plain,
% 6.28/4.55 (v113(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6960, 6959, 6927])).
% 6.28/4.55 tff(6962,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB27)) <=> v111(constB27))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6963,plain,
% 6.28/4.55 ((~v126(constB27)) <=> v111(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6962, 4761])).
% 6.28/4.55 tff(6964,plain,
% 6.28/4.55 ((~((~v126(constB27)) <=> v111(constB27))) | v126(constB27) | v111(constB27)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6965,plain,
% 6.28/4.55 ((~((~v126(constB27)) <=> v111(constB27))) | v126(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6964, 3662])).
% 6.28/4.55 tff(6966,plain,
% 6.28/4.55 (v126(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6965, 6963])).
% 6.28/4.55 tff(6967,plain,
% 6.28/4.55 ((~((~v113(constB27)) | (~v126(constB27)))) | (~v113(constB27)) | (~v126(constB27))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6968,plain,
% 6.28/4.55 ((~((~v113(constB27)) | (~v126(constB27)))) | (~v113(constB27))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6967, 6966])).
% 6.28/4.55 tff(6969,plain,
% 6.28/4.55 (~((~v113(constB27)) | (~v126(constB27)))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6968, 6961])).
% 6.28/4.55 tff(6970,plain,
% 6.28/4.55 ((~(v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27)))))) | v112(constB27) | ((~v113(constB27)) | (~v126(constB27)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6971,plain,
% 6.28/4.55 (v112(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6970, 6969, 6925])).
% 6.28/4.55 tff(6972,plain,
% 6.28/4.55 ((v111(constB27) | v112(constB27)) | (~v112(constB27))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6973,plain,
% 6.28/4.55 (v111(constB27) | v112(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6972, 6971])).
% 6.28/4.55 tff(6974,plain,
% 6.28/4.55 ((~(v108(constB27) <=> (v111(constB27) | v112(constB27)))) | v108(constB27) | (~(v111(constB27) | v112(constB27)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6975,plain,
% 6.28/4.55 (v108(constB27)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6974, 6973, 6923])).
% 6.28/4.55 tff(6976,plain,
% 6.28/4.55 ((~(v110(constB28) <=> v108(constB27))) | v110(constB28) | (~v108(constB27))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6977,plain,
% 6.28/4.55 (v110(constB28)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6976, 6975, 6921])).
% 6.28/4.55 tff(6978,plain,
% 6.28/4.55 ((~((~v101(constB28)) | (~v110(constB28)))) | (~v101(constB28)) | (~v110(constB28))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6979,plain,
% 6.28/4.55 (~((~v101(constB28)) | (~v110(constB28)))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6978, 6977, 6917])).
% 6.28/4.55 tff(6980,plain,
% 6.28/4.55 ((~(v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28)))))) | v100(constB28) | ((~v101(constB28)) | (~v110(constB28)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6981,plain,
% 6.28/4.55 (v100(constB28)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6980, 6979, 6889])).
% 6.28/4.55 tff(6982,plain,
% 6.28/4.55 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB28)) | (~(((~v90(constB28, 2)) <=> v129(constB28, 2)) | ((~v90(constB28, 1)) <=> v129(constB28, 1)) | ((~v90(constB28, 0)) <=> v129(constB28, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB28)) | (~(((~v90(constB28, 2)) <=> v129(constB28, 2)) | ((~v90(constB28, 1)) <=> v129(constB28, 1)) | ((~v90(constB28, 0)) <=> v129(constB28, 0)))))),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(6983,plain,
% 6.28/4.55 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB28)) | (~(((~v90(constB28, 2)) <=> v129(constB28, 2)) | ((~v90(constB28, 1)) <=> v129(constB28, 1)) | ((~v90(constB28, 0)) <=> v129(constB28, 0)))))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(6984,plain,
% 6.28/4.55 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB28)) | (~(((~v90(constB28, 2)) <=> v129(constB28, 2)) | ((~v90(constB28, 1)) <=> v129(constB28, 1)) | ((~v90(constB28, 0)) <=> v129(constB28, 0))))),
% 6.28/4.55 inference(modus_ponens,[status(thm)],[6983, 6982])).
% 6.28/4.55 tff(6985,plain,
% 6.28/4.55 ((~v100(constB28)) | (~(((~v90(constB28, 2)) <=> v129(constB28, 2)) | ((~v90(constB28, 1)) <=> v129(constB28, 1)) | ((~v90(constB28, 0)) <=> v129(constB28, 0))))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6984, 4794])).
% 6.28/4.55 tff(6986,plain,
% 6.28/4.55 (~(((~v90(constB28, 2)) <=> v129(constB28, 2)) | ((~v90(constB28, 1)) <=> v129(constB28, 1)) | ((~v90(constB28, 0)) <=> v129(constB28, 0)))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6985, 6981])).
% 6.28/4.55 tff(6987,plain,
% 6.28/4.55 ((((~v90(constB28, 2)) <=> v129(constB28, 2)) | ((~v90(constB28, 1)) <=> v129(constB28, 1)) | ((~v90(constB28, 0)) <=> v129(constB28, 0))) | (~((~v90(constB28, 2)) <=> v129(constB28, 2)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6988,plain,
% 6.28/4.55 (~((~v90(constB28, 2)) <=> v129(constB28, 2))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6987, 6986])).
% 6.28/4.55 tff(6989,plain,
% 6.28/4.55 (((~v90(constB28, 2)) <=> v129(constB28, 2)) | (~v90(constB28, 2)) | v129(constB28, 2)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6990,plain,
% 6.28/4.55 (~v90(constB28, 2)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6989, 6988, 6885])).
% 6.28/4.55 tff(6991,plain,
% 6.28/4.55 (((~v90(constB29, 2)) <=> v90(constB28, 2)) | (~v90(constB29, 2)) | v90(constB28, 2)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6992,plain,
% 6.28/4.55 (~v90(constB29, 2)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6991, 6990, 3646])).
% 6.28/4.55 tff(6993,plain,
% 6.28/4.55 ((((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0))) | (~((~v90(constB29, 0)) <=> v90(constB28, 0)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6994,plain,
% 6.28/4.55 (~((~v90(constB29, 0)) <=> v90(constB28, 0))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6993, 3644])).
% 6.28/4.55 tff(6995,plain,
% 6.28/4.55 ((((~v129(constB28, 2)) <=> v127(constB27, 2)) | ((~v129(constB28, 1)) <=> v127(constB27, 1)) | ((~v129(constB28, 0)) <=> v127(constB27, 0))) | (~((~v129(constB28, 0)) <=> v127(constB27, 0)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6996,plain,
% 6.28/4.55 (~((~v129(constB28, 0)) <=> v127(constB27, 0))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6995, 3653])).
% 6.28/4.55 tff(6997,plain,
% 6.28/4.55 ((((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0))) | (~((~v127(constB27, 0)) <=> v130(constB27, 0)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(6998,plain,
% 6.28/4.55 (~((~v127(constB27, 0)) <=> v130(constB27, 0))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6997, 3667])).
% 6.28/4.55 tff(6999,plain,
% 6.28/4.55 ((v130(constB27, 2) | v130(constB27, 0) | (~v130(constB27, 1))) | (~v130(constB27, 0))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7000,plain,
% 6.28/4.55 (~v130(constB27, 0)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[6999, 6879])).
% 6.28/4.55 tff(7001,plain,
% 6.28/4.55 (((~v127(constB27, 0)) <=> v130(constB27, 0)) | (~v127(constB27, 0)) | v130(constB27, 0)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7002,plain,
% 6.28/4.55 (~v127(constB27, 0)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7001, 7000, 6998])).
% 6.28/4.55 tff(7003,plain,
% 6.28/4.55 (((~v129(constB28, 0)) <=> v127(constB27, 0)) | (~v129(constB28, 0)) | v127(constB27, 0)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7004,plain,
% 6.28/4.55 (~v129(constB28, 0)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7003, 7002, 6996])).
% 6.28/4.55 tff(7005,plain,
% 6.28/4.55 ((((~v90(constB28, 2)) <=> v129(constB28, 2)) | ((~v90(constB28, 1)) <=> v129(constB28, 1)) | ((~v90(constB28, 0)) <=> v129(constB28, 0))) | (~((~v90(constB28, 0)) <=> v129(constB28, 0)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7006,plain,
% 6.28/4.55 (~((~v90(constB28, 0)) <=> v129(constB28, 0))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7005, 6986])).
% 6.28/4.55 tff(7007,plain,
% 6.28/4.55 (((~v90(constB28, 0)) <=> v129(constB28, 0)) | (~v90(constB28, 0)) | v129(constB28, 0)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7008,plain,
% 6.28/4.55 (~v90(constB28, 0)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7007, 7006, 7004])).
% 6.28/4.55 tff(7009,plain,
% 6.28/4.55 (((~v90(constB29, 0)) <=> v90(constB28, 0)) | (~v90(constB29, 0)) | v90(constB28, 0)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7010,plain,
% 6.28/4.55 (~v90(constB29, 0)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7009, 7008, 6994])).
% 6.28/4.55 tff(7011,plain,
% 6.28/4.55 ((((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0))) | (~((~v90(constB29, 1)) <=> v90(constB28, 1)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7012,plain,
% 6.28/4.55 (~((~v90(constB29, 1)) <=> v90(constB28, 1))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7011, 3644])).
% 6.28/4.55 tff(7013,plain,
% 6.28/4.55 ((((~v129(constB28, 2)) <=> v127(constB27, 2)) | ((~v129(constB28, 1)) <=> v127(constB27, 1)) | ((~v129(constB28, 0)) <=> v127(constB27, 0))) | (~((~v129(constB28, 1)) <=> v127(constB27, 1)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7014,plain,
% 6.28/4.55 (~((~v129(constB28, 1)) <=> v127(constB27, 1))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7013, 3653])).
% 6.28/4.55 tff(7015,plain,
% 6.28/4.55 ((((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0))) | (~((~v127(constB27, 1)) <=> v130(constB27, 1)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7016,plain,
% 6.28/4.55 (~((~v127(constB27, 1)) <=> v130(constB27, 1))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7015, 3667])).
% 6.28/4.55 tff(7017,plain,
% 6.28/4.55 ((v130(constB27, 2) | v130(constB27, 0) | (~v130(constB27, 1))) | v130(constB27, 1)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7018,plain,
% 6.28/4.55 (v130(constB27, 1)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7017, 6879])).
% 6.28/4.55 tff(7019,plain,
% 6.28/4.55 (((~v127(constB27, 1)) <=> v130(constB27, 1)) | v127(constB27, 1) | (~v130(constB27, 1))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7020,plain,
% 6.28/4.55 (v127(constB27, 1)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7019, 7018, 7016])).
% 6.28/4.55 tff(7021,plain,
% 6.28/4.55 (((~v129(constB28, 1)) <=> v127(constB27, 1)) | v129(constB28, 1) | (~v127(constB27, 1))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7022,plain,
% 6.28/4.55 (v129(constB28, 1)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7021, 7020, 7014])).
% 6.28/4.55 tff(7023,plain,
% 6.28/4.55 ((((~v90(constB28, 2)) <=> v129(constB28, 2)) | ((~v90(constB28, 1)) <=> v129(constB28, 1)) | ((~v90(constB28, 0)) <=> v129(constB28, 0))) | (~((~v90(constB28, 1)) <=> v129(constB28, 1)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7024,plain,
% 6.28/4.55 (~((~v90(constB28, 1)) <=> v129(constB28, 1))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7023, 6986])).
% 6.28/4.55 tff(7025,plain,
% 6.28/4.55 (((~v90(constB28, 1)) <=> v129(constB28, 1)) | v90(constB28, 1) | (~v129(constB28, 1))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7026,plain,
% 6.28/4.55 (v90(constB28, 1)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7025, 7024, 7022])).
% 6.28/4.55 tff(7027,plain,
% 6.28/4.55 (((~v90(constB29, 1)) <=> v90(constB28, 1)) | v90(constB29, 1) | (~v90(constB28, 1))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7028,plain,
% 6.28/4.55 (v90(constB29, 1)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7027, 7026, 7012])).
% 6.28/4.55 tff(7029,plain,
% 6.28/4.55 ((~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1)))) | v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7030,plain,
% 6.28/4.55 (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1)))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7029, 7028, 7010, 6992])).
% 6.28/4.55 tff(7031,plain,
% 6.28/4.55 ((~(v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1)))))) | v121(constB29) | (v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7032,plain,
% 6.28/4.55 (v121(constB29)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7031, 7030, 3610])).
% 6.28/4.55 tff(7033,plain,
% 6.28/4.55 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB29)) | (~(v130(constB29, 2) | (~v130(constB29, 1)) | (~v130(constB29, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB29)) | (~(v130(constB29, 2) | (~v130(constB29, 1)) | (~v130(constB29, 0)))))),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(7034,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB29)) | (~(v130(constB29, 2) | (~v130(constB29, 1)) | (~v130(constB29, 0)))))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(7035,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB29)) | (~(v130(constB29, 2) | (~v130(constB29, 1)) | (~v130(constB29, 0))))),
% 6.28/4.55 inference(modus_ponens,[status(thm)],[7034, 7033])).
% 6.28/4.55 tff(7036,plain,
% 6.28/4.55 ((~v121(constB29)) | (~(v130(constB29, 2) | (~v130(constB29, 1)) | (~v130(constB29, 0))))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7035, 5420])).
% 6.28/4.55 tff(7037,plain,
% 6.28/4.55 (~(v130(constB29, 2) | (~v130(constB29, 1)) | (~v130(constB29, 0)))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7036, 7032])).
% 6.28/4.55 tff(7038,plain,
% 6.28/4.55 ((v130(constB29, 2) | (~v130(constB29, 1)) | (~v130(constB29, 0))) | (~v130(constB29, 2))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7039,plain,
% 6.28/4.55 (~v130(constB29, 2)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7038, 7037])).
% 6.28/4.55 tff(7040,plain,
% 6.28/4.55 (((~v127(constB29, 2)) <=> v130(constB29, 2)) | (~v127(constB29, 2)) | v130(constB29, 2)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7041,plain,
% 6.28/4.55 (~v127(constB29, 2)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7040, 7039, 3603])).
% 6.28/4.55 tff(7042,plain,
% 6.28/4.55 (((~v129(constB30, 2)) <=> v127(constB29, 2)) | (~v129(constB30, 2)) | v127(constB29, 2)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7043,plain,
% 6.28/4.55 (~v129(constB30, 2)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7042, 7041, 3589])).
% 6.28/4.55 tff(7044,plain,
% 6.28/4.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))))),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(7045,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(7046,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30)))))),
% 6.28/4.55 inference(modus_ponens,[status(thm)],[7045, 7044])).
% 6.28/4.55 tff(7047,plain,
% 6.28/4.55 (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7046, 3583, 273])).
% 6.28/4.55 tff(7048,plain,
% 6.28/4.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(7049,plain,
% 6.28/4.55 (((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30)))))) <=> ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(7050,plain,
% 6.28/4.55 (((~![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) <=> (~((~v1(constB30)) | (~v102(constB30)))))))),
% 6.28/4.55 inference(monotonicity,[status(thm)],[7049])).
% 6.28/4.55 tff(7051,plain,
% 6.28/4.55 (((~![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) <=> (~((~v1(constB30)) | (~v102(constB30))))))),
% 6.28/4.55 inference(transitivity,[status(thm)],[7050, 7048])).
% 6.28/4.55 tff(7052,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30))))))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(7053,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30)))))),
% 6.28/4.55 inference(modus_ponens,[status(thm)],[7052, 7051])).
% 6.28/4.55 tff(7054,plain,
% 6.28/4.55 (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7053, 3583, 293])).
% 6.28/4.55 tff(7055,plain,
% 6.28/4.55 (((~![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)))),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(7056,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(7057,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30))),
% 6.28/4.55 inference(modus_ponens,[status(thm)],[7056, 7055])).
% 6.28/4.55 tff(7058,plain,
% 6.28/4.55 ((~v102(constB30)) <=> v104(constB30)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7057, 3583, 4609])).
% 6.28/4.55 tff(7059,plain,
% 6.28/4.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29)))),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(7060,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(7061,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29))),
% 6.28/4.55 inference(modus_ponens,[status(thm)],[7060, 7059])).
% 6.28/4.55 tff(7062,plain,
% 6.28/4.55 (v104(constB30) <=> v1(constB29)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7061, 3583, 4623])).
% 6.28/4.55 tff(7063,plain,
% 6.28/4.55 ((~(v104(constB30) <=> v1(constB29))) | (~v104(constB30)) | v1(constB29)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7064,plain,
% 6.28/4.55 ((~(v104(constB30) <=> v1(constB29))) | (~v104(constB30))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7063, 3627])).
% 6.28/4.55 tff(7065,plain,
% 6.28/4.55 (~v104(constB30)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7064, 7062])).
% 6.28/4.55 tff(7066,plain,
% 6.28/4.55 ((~((~v102(constB30)) <=> v104(constB30))) | v102(constB30) | v104(constB30)),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7067,plain,
% 6.28/4.55 (v102(constB30)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7066, 7065, 7058])).
% 6.28/4.55 tff(7068,plain,
% 6.28/4.55 (v1(constB30) <=> v1(constB30)),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(7069,axiom,(v1(constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_30')).
% 6.28/4.55 tff(7070,plain,
% 6.28/4.55 (v1(constB30)),
% 6.28/4.55 inference(modus_ponens,[status(thm)],[7069, 7068])).
% 6.28/4.55 tff(7071,plain,
% 6.28/4.55 ((~((~v1(constB30)) | (~v102(constB30)))) | (~v1(constB30)) | (~v102(constB30))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7072,plain,
% 6.28/4.55 ((~((~v1(constB30)) | (~v102(constB30)))) | (~v102(constB30))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7071, 7070])).
% 6.28/4.55 tff(7073,plain,
% 6.28/4.55 (~((~v1(constB30)) | (~v102(constB30)))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7072, 7067])).
% 6.28/4.55 tff(7074,plain,
% 6.28/4.55 ((~(v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30)))))) | v101(constB30) | ((~v1(constB30)) | (~v102(constB30)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7075,plain,
% 6.28/4.55 (v101(constB30)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7074, 7073, 7054])).
% 6.28/4.55 tff(7076,plain,
% 6.28/4.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29)))),
% 6.28/4.55 inference(rewrite,[status(thm)],[])).
% 6.28/4.55 tff(7077,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(7078,plain,
% 6.28/4.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29))),
% 6.28/4.55 inference(modus_ponens,[status(thm)],[7077, 7076])).
% 6.28/4.55 tff(7079,plain,
% 6.28/4.55 (v110(constB30) <=> v108(constB29)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7078, 3583, 4650])).
% 6.28/4.55 tff(7080,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB29) <=> (v111(constB29) | v112(constB29)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(7081,plain,
% 6.28/4.55 (v108(constB29) <=> (v111(constB29) | v112(constB29))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7080, 4661])).
% 6.28/4.55 tff(7082,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29)))))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(7083,plain,
% 6.28/4.55 (v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29))))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7082, 4673])).
% 6.28/4.55 tff(7084,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB29) <=> (v114(constB29) | v125(constB29)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(7085,plain,
% 6.28/4.55 (v113(constB29) <=> (v114(constB29) | v125(constB29))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7084, 4682])).
% 6.28/4.55 tff(7086,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB29) <=> (v115(constB29) | v124(constB29)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(7087,plain,
% 6.28/4.55 (v114(constB29) <=> (v115(constB29) | v124(constB29))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7086, 4691])).
% 6.28/4.55 tff(7088,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB29) <=> (v116(constB29) | v123(constB29)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(7089,plain,
% 6.28/4.55 (v115(constB29) <=> (v116(constB29) | v123(constB29))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7088, 4700])).
% 6.28/4.55 tff(7090,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB29) <=> (v117(constB29) | v122(constB29)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(7091,plain,
% 6.28/4.55 (v116(constB29) <=> (v117(constB29) | v122(constB29))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7090, 4709])).
% 6.28/4.55 tff(7092,plain,
% 6.28/4.55 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB29) <=> (v118(constB29) | v121(constB29)))),
% 6.28/4.55 inference(quant_inst,[status(thm)],[])).
% 6.28/4.55 tff(7093,plain,
% 6.28/4.55 (v117(constB29) <=> (v118(constB29) | v121(constB29))),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7092, 4718])).
% 6.28/4.55 tff(7094,plain,
% 6.28/4.55 ((v118(constB29) | v121(constB29)) | (~v121(constB29))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7095,plain,
% 6.28/4.55 (v118(constB29) | v121(constB29)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7094, 7032])).
% 6.28/4.55 tff(7096,plain,
% 6.28/4.55 ((~(v117(constB29) <=> (v118(constB29) | v121(constB29)))) | v117(constB29) | (~(v118(constB29) | v121(constB29)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7097,plain,
% 6.28/4.55 (v117(constB29)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7096, 7095, 7093])).
% 6.28/4.55 tff(7098,plain,
% 6.28/4.55 ((v117(constB29) | v122(constB29)) | (~v117(constB29))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7099,plain,
% 6.28/4.55 (v117(constB29) | v122(constB29)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7098, 7097])).
% 6.28/4.55 tff(7100,plain,
% 6.28/4.55 ((~(v116(constB29) <=> (v117(constB29) | v122(constB29)))) | v116(constB29) | (~(v117(constB29) | v122(constB29)))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7101,plain,
% 6.28/4.55 (v116(constB29)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7100, 7099, 7091])).
% 6.28/4.55 tff(7102,plain,
% 6.28/4.55 ((v116(constB29) | v123(constB29)) | (~v116(constB29))),
% 6.28/4.55 inference(tautology,[status(thm)],[])).
% 6.28/4.55 tff(7103,plain,
% 6.28/4.55 (v116(constB29) | v123(constB29)),
% 6.28/4.55 inference(unit_resolution,[status(thm)],[7102, 7101])).
% 6.28/4.55 tff(7104,plain,
% 6.28/4.55 ((~(v115(constB29) <=> (v116(constB29) | v123(constB29)))) | v115(constB29) | (~(v116(constB29) | v123(constB29)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7105,plain,
% 6.28/4.56 (v115(constB29)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7104, 7103, 7089])).
% 6.28/4.56 tff(7106,plain,
% 6.28/4.56 ((v115(constB29) | v124(constB29)) | (~v115(constB29))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7107,plain,
% 6.28/4.56 (v115(constB29) | v124(constB29)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7106, 7105])).
% 6.28/4.56 tff(7108,plain,
% 6.28/4.56 ((~(v114(constB29) <=> (v115(constB29) | v124(constB29)))) | v114(constB29) | (~(v115(constB29) | v124(constB29)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7109,plain,
% 6.28/4.56 (v114(constB29)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7108, 7107, 7087])).
% 6.28/4.56 tff(7110,plain,
% 6.28/4.56 ((v114(constB29) | v125(constB29)) | (~v114(constB29))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7111,plain,
% 6.28/4.56 (v114(constB29) | v125(constB29)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7110, 7109])).
% 6.28/4.56 tff(7112,plain,
% 6.28/4.56 ((~(v113(constB29) <=> (v114(constB29) | v125(constB29)))) | v113(constB29) | (~(v114(constB29) | v125(constB29)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7113,plain,
% 6.28/4.56 (v113(constB29)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7112, 7111, 7085])).
% 6.28/4.56 tff(7114,plain,
% 6.28/4.56 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB29)) <=> v111(constB29))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7115,plain,
% 6.28/4.56 ((~v126(constB29)) <=> v111(constB29)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7114, 4761])).
% 6.28/4.56 tff(7116,plain,
% 6.28/4.56 ((~((~v126(constB29)) <=> v111(constB29))) | v126(constB29) | v111(constB29)),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7117,plain,
% 6.28/4.56 ((~((~v126(constB29)) <=> v111(constB29))) | v126(constB29)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7116, 3596])).
% 6.28/4.56 tff(7118,plain,
% 6.28/4.56 (v126(constB29)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7117, 7115])).
% 6.28/4.56 tff(7119,plain,
% 6.28/4.56 ((~((~v113(constB29)) | (~v126(constB29)))) | (~v113(constB29)) | (~v126(constB29))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7120,plain,
% 6.28/4.56 ((~((~v113(constB29)) | (~v126(constB29)))) | (~v113(constB29))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7119, 7118])).
% 6.28/4.56 tff(7121,plain,
% 6.28/4.56 (~((~v113(constB29)) | (~v126(constB29)))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7120, 7113])).
% 6.28/4.56 tff(7122,plain,
% 6.28/4.56 ((~(v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29)))))) | v112(constB29) | ((~v113(constB29)) | (~v126(constB29)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7123,plain,
% 6.28/4.56 (v112(constB29)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7122, 7121, 7083])).
% 6.28/4.56 tff(7124,plain,
% 6.28/4.56 ((v111(constB29) | v112(constB29)) | (~v112(constB29))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7125,plain,
% 6.28/4.56 (v111(constB29) | v112(constB29)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7124, 7123])).
% 6.28/4.56 tff(7126,plain,
% 6.28/4.56 ((~(v108(constB29) <=> (v111(constB29) | v112(constB29)))) | v108(constB29) | (~(v111(constB29) | v112(constB29)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7127,plain,
% 6.28/4.56 (v108(constB29)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7126, 7125, 7081])).
% 6.28/4.56 tff(7128,plain,
% 6.28/4.56 ((~(v110(constB30) <=> v108(constB29))) | v110(constB30) | (~v108(constB29))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7129,plain,
% 6.28/4.56 (v110(constB30)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7128, 7127, 7079])).
% 6.28/4.56 tff(7130,plain,
% 6.28/4.56 ((~((~v101(constB30)) | (~v110(constB30)))) | (~v101(constB30)) | (~v110(constB30))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7131,plain,
% 6.28/4.56 (~((~v101(constB30)) | (~v110(constB30)))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7130, 7129, 7075])).
% 6.28/4.56 tff(7132,plain,
% 6.28/4.56 ((~(v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30)))))) | v100(constB30) | ((~v101(constB30)) | (~v110(constB30)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7133,plain,
% 6.28/4.56 (v100(constB30)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7132, 7131, 7047])).
% 6.28/4.56 tff(7134,plain,
% 6.28/4.56 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB30)) | (~(((~v90(constB30, 0)) <=> v129(constB30, 0)) | ((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB30)) | (~(((~v90(constB30, 0)) <=> v129(constB30, 0)) | ((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1)))))),
% 6.28/4.56 inference(rewrite,[status(thm)],[])).
% 6.28/4.56 tff(7135,plain,
% 6.28/4.56 (((~v100(constB30)) | (~(((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1)) | ((~v90(constB30, 0)) <=> v129(constB30, 0))))) <=> ((~v100(constB30)) | (~(((~v90(constB30, 0)) <=> v129(constB30, 0)) | ((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1)))))),
% 6.28/4.56 inference(rewrite,[status(thm)],[])).
% 6.28/4.56 tff(7136,plain,
% 6.28/4.56 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB30)) | (~(((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1)) | ((~v90(constB30, 0)) <=> v129(constB30, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB30)) | (~(((~v90(constB30, 0)) <=> v129(constB30, 0)) | ((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1))))))),
% 6.28/4.56 inference(monotonicity,[status(thm)],[7135])).
% 6.28/4.56 tff(7137,plain,
% 6.28/4.56 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB30)) | (~(((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1)) | ((~v90(constB30, 0)) <=> v129(constB30, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB30)) | (~(((~v90(constB30, 0)) <=> v129(constB30, 0)) | ((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1)))))),
% 6.28/4.56 inference(transitivity,[status(thm)],[7136, 7134])).
% 6.28/4.56 tff(7138,plain,
% 6.28/4.56 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB30)) | (~(((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1)) | ((~v90(constB30, 0)) <=> v129(constB30, 0)))))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7139,plain,
% 6.28/4.56 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB30)) | (~(((~v90(constB30, 0)) <=> v129(constB30, 0)) | ((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1))))),
% 6.28/4.56 inference(modus_ponens,[status(thm)],[7138, 7137])).
% 6.28/4.56 tff(7140,plain,
% 6.28/4.56 ((~v100(constB30)) | (~(((~v90(constB30, 0)) <=> v129(constB30, 0)) | ((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1))))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7139, 4794])).
% 6.28/4.56 tff(7141,plain,
% 6.28/4.56 (~(((~v90(constB30, 0)) <=> v129(constB30, 0)) | ((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1)))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7140, 7133])).
% 6.28/4.56 tff(7142,plain,
% 6.28/4.56 ((((~v90(constB30, 0)) <=> v129(constB30, 0)) | ((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1))) | (~((~v90(constB30, 2)) <=> v129(constB30, 2)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7143,plain,
% 6.28/4.56 (~((~v90(constB30, 2)) <=> v129(constB30, 2))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7142, 7141])).
% 6.28/4.56 tff(7144,plain,
% 6.28/4.56 (((~v90(constB30, 2)) <=> v129(constB30, 2)) | (~v90(constB30, 2)) | v129(constB30, 2)),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7145,plain,
% 6.28/4.56 (~v90(constB30, 2)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7144, 7143, 7043])).
% 6.28/4.56 tff(7146,plain,
% 6.28/4.56 (((~v90(constB31, 2)) <=> v90(constB30, 2)) | (~v90(constB31, 2)) | v90(constB30, 2)),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7147,plain,
% 6.28/4.56 (~v90(constB31, 2)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7146, 7145, 3580])).
% 6.28/4.56 tff(7148,plain,
% 6.28/4.56 ((((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0))) | (~((~v90(constB31, 0)) <=> v90(constB30, 0)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7149,plain,
% 6.28/4.56 (~((~v90(constB31, 0)) <=> v90(constB30, 0))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7148, 3578])).
% 6.28/4.56 tff(7150,plain,
% 6.28/4.56 ((((~v129(constB30, 2)) <=> v127(constB29, 2)) | ((~v129(constB30, 1)) <=> v127(constB29, 1)) | ((~v129(constB30, 0)) <=> v127(constB29, 0))) | (~((~v129(constB30, 0)) <=> v127(constB29, 0)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7151,plain,
% 6.28/4.56 (~((~v129(constB30, 0)) <=> v127(constB29, 0))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7150, 3587])).
% 6.28/4.56 tff(7152,plain,
% 6.28/4.56 ((((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0))) | (~((~v127(constB29, 0)) <=> v130(constB29, 0)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7153,plain,
% 6.28/4.56 (~((~v127(constB29, 0)) <=> v130(constB29, 0))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7152, 3601])).
% 6.28/4.56 tff(7154,plain,
% 6.28/4.56 ((v130(constB29, 2) | (~v130(constB29, 1)) | (~v130(constB29, 0))) | v130(constB29, 0)),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7155,plain,
% 6.28/4.56 (v130(constB29, 0)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7154, 7037])).
% 6.28/4.56 tff(7156,plain,
% 6.28/4.56 (((~v127(constB29, 0)) <=> v130(constB29, 0)) | v127(constB29, 0) | (~v130(constB29, 0))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7157,plain,
% 6.28/4.56 (v127(constB29, 0)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7156, 7155, 7153])).
% 6.28/4.56 tff(7158,plain,
% 6.28/4.56 (((~v129(constB30, 0)) <=> v127(constB29, 0)) | v129(constB30, 0) | (~v127(constB29, 0))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7159,plain,
% 6.28/4.56 (v129(constB30, 0)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7158, 7157, 7151])).
% 6.28/4.56 tff(7160,plain,
% 6.28/4.56 ((((~v90(constB30, 0)) <=> v129(constB30, 0)) | ((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1))) | (~((~v90(constB30, 0)) <=> v129(constB30, 0)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7161,plain,
% 6.28/4.56 (~((~v90(constB30, 0)) <=> v129(constB30, 0))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7160, 7141])).
% 6.28/4.56 tff(7162,plain,
% 6.28/4.56 (((~v90(constB30, 0)) <=> v129(constB30, 0)) | v90(constB30, 0) | (~v129(constB30, 0))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7163,plain,
% 6.28/4.56 (v90(constB30, 0)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7162, 7161, 7159])).
% 6.28/4.56 tff(7164,plain,
% 6.28/4.56 (((~v90(constB31, 0)) <=> v90(constB30, 0)) | v90(constB31, 0) | (~v90(constB30, 0))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7165,plain,
% 6.28/4.56 (v90(constB31, 0)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7164, 7163, 7149])).
% 6.28/4.56 tff(7166,plain,
% 6.28/4.56 ((((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0))) | (~((~v90(constB31, 1)) <=> v90(constB30, 1)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7167,plain,
% 6.28/4.56 (~((~v90(constB31, 1)) <=> v90(constB30, 1))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7166, 3578])).
% 6.28/4.56 tff(7168,plain,
% 6.28/4.56 ((((~v129(constB30, 2)) <=> v127(constB29, 2)) | ((~v129(constB30, 1)) <=> v127(constB29, 1)) | ((~v129(constB30, 0)) <=> v127(constB29, 0))) | (~((~v129(constB30, 1)) <=> v127(constB29, 1)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7169,plain,
% 6.28/4.56 (~((~v129(constB30, 1)) <=> v127(constB29, 1))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7168, 3587])).
% 6.28/4.56 tff(7170,plain,
% 6.28/4.56 ((((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0))) | (~((~v127(constB29, 1)) <=> v130(constB29, 1)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7171,plain,
% 6.28/4.56 (~((~v127(constB29, 1)) <=> v130(constB29, 1))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7170, 3601])).
% 6.28/4.56 tff(7172,plain,
% 6.28/4.56 ((v130(constB29, 2) | (~v130(constB29, 1)) | (~v130(constB29, 0))) | v130(constB29, 1)),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7173,plain,
% 6.28/4.56 (v130(constB29, 1)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7172, 7037])).
% 6.28/4.56 tff(7174,plain,
% 6.28/4.56 (((~v127(constB29, 1)) <=> v130(constB29, 1)) | v127(constB29, 1) | (~v130(constB29, 1))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7175,plain,
% 6.28/4.56 (v127(constB29, 1)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7174, 7173, 7171])).
% 6.28/4.56 tff(7176,plain,
% 6.28/4.56 (((~v129(constB30, 1)) <=> v127(constB29, 1)) | v129(constB30, 1) | (~v127(constB29, 1))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7177,plain,
% 6.28/4.56 (v129(constB30, 1)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7176, 7175, 7169])).
% 6.28/4.56 tff(7178,plain,
% 6.28/4.56 ((((~v90(constB30, 0)) <=> v129(constB30, 0)) | ((~v90(constB30, 2)) <=> v129(constB30, 2)) | ((~v90(constB30, 1)) <=> v129(constB30, 1))) | (~((~v90(constB30, 1)) <=> v129(constB30, 1)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7179,plain,
% 6.28/4.56 (~((~v90(constB30, 1)) <=> v129(constB30, 1))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7178, 7141])).
% 6.28/4.56 tff(7180,plain,
% 6.28/4.56 (((~v90(constB30, 1)) <=> v129(constB30, 1)) | v90(constB30, 1) | (~v129(constB30, 1))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7181,plain,
% 6.28/4.56 (v90(constB30, 1)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7180, 7179, 7177])).
% 6.28/4.56 tff(7182,plain,
% 6.28/4.56 (((~v90(constB31, 1)) <=> v90(constB30, 1)) | v90(constB31, 1) | (~v90(constB30, 1))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7183,plain,
% 6.28/4.56 (v90(constB31, 1)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7182, 7181, 7167])).
% 6.28/4.56 tff(7184,plain,
% 6.28/4.56 ((~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0)))) | v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7185,plain,
% 6.28/4.56 (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0)))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7184, 7183, 7165, 7147])).
% 6.28/4.56 tff(7186,plain,
% 6.28/4.56 ((~(v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0)))))) | v122(constB31) | (v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7187,plain,
% 6.28/4.56 (v122(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7186, 7185, 3544])).
% 6.28/4.56 tff(7188,plain,
% 6.28/4.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB31)) | (~(v130(constB31, 1) | v130(constB31, 0) | (~v130(constB31, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB31)) | (~(v130(constB31, 1) | v130(constB31, 0) | (~v130(constB31, 2)))))),
% 6.28/4.56 inference(rewrite,[status(thm)],[])).
% 6.28/4.56 tff(7189,plain,
% 6.28/4.56 (((~v122(constB31)) | (~(v130(constB31, 0) | v130(constB31, 1) | (~v130(constB31, 2))))) <=> ((~v122(constB31)) | (~(v130(constB31, 1) | v130(constB31, 0) | (~v130(constB31, 2)))))),
% 6.28/4.56 inference(rewrite,[status(thm)],[])).
% 6.28/4.56 tff(7190,plain,
% 6.28/4.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB31)) | (~(v130(constB31, 0) | v130(constB31, 1) | (~v130(constB31, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB31)) | (~(v130(constB31, 1) | v130(constB31, 0) | (~v130(constB31, 2))))))),
% 6.28/4.56 inference(monotonicity,[status(thm)],[7189])).
% 6.28/4.56 tff(7191,plain,
% 6.28/4.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB31)) | (~(v130(constB31, 0) | v130(constB31, 1) | (~v130(constB31, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB31)) | (~(v130(constB31, 1) | v130(constB31, 0) | (~v130(constB31, 2)))))),
% 6.28/4.56 inference(transitivity,[status(thm)],[7190, 7188])).
% 6.28/4.56 tff(7192,plain,
% 6.28/4.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB31)) | (~(v130(constB31, 0) | v130(constB31, 1) | (~v130(constB31, 2)))))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7193,plain,
% 6.28/4.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB31)) | (~(v130(constB31, 1) | v130(constB31, 0) | (~v130(constB31, 2))))),
% 6.28/4.56 inference(modus_ponens,[status(thm)],[7192, 7191])).
% 6.28/4.56 tff(7194,plain,
% 6.28/4.56 ((~v122(constB31)) | (~(v130(constB31, 1) | v130(constB31, 0) | (~v130(constB31, 2))))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7193, 5588])).
% 6.28/4.56 tff(7195,plain,
% 6.28/4.56 (~(v130(constB31, 1) | v130(constB31, 0) | (~v130(constB31, 2)))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7194, 7187])).
% 6.28/4.56 tff(7196,plain,
% 6.28/4.56 ((v130(constB31, 1) | v130(constB31, 0) | (~v130(constB31, 2))) | v130(constB31, 2)),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7197,plain,
% 6.28/4.56 (v130(constB31, 2)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7196, 7195])).
% 6.28/4.56 tff(7198,plain,
% 6.28/4.56 (((~v127(constB31, 2)) <=> v130(constB31, 2)) | v127(constB31, 2) | (~v130(constB31, 2))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7199,plain,
% 6.28/4.56 (v127(constB31, 2)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7198, 7197, 3537])).
% 6.28/4.56 tff(7200,plain,
% 6.28/4.56 (((~v129(constB32, 2)) <=> v127(constB31, 2)) | v129(constB32, 2) | (~v127(constB31, 2))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7201,plain,
% 6.28/4.56 (v129(constB32, 2)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7200, 7199, 3523])).
% 6.28/4.56 tff(7202,plain,
% 6.28/4.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))))),
% 6.28/4.56 inference(rewrite,[status(thm)],[])).
% 6.28/4.56 tff(7203,plain,
% 6.28/4.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7204,plain,
% 6.28/4.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32)))))),
% 6.28/4.56 inference(modus_ponens,[status(thm)],[7203, 7202])).
% 6.28/4.56 tff(7205,plain,
% 6.28/4.56 (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7204, 3517, 273])).
% 6.28/4.56 tff(7206,plain,
% 6.28/4.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))),
% 6.28/4.56 inference(rewrite,[status(thm)],[])).
% 6.28/4.56 tff(7207,plain,
% 6.28/4.56 (((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32)))))) <=> ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))),
% 6.28/4.56 inference(rewrite,[status(thm)],[])).
% 6.28/4.56 tff(7208,plain,
% 6.28/4.56 (((~![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) <=> (~((~v1(constB32)) | (~v102(constB32)))))))),
% 6.28/4.56 inference(monotonicity,[status(thm)],[7207])).
% 6.28/4.56 tff(7209,plain,
% 6.28/4.56 (((~![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) <=> (~((~v1(constB32)) | (~v102(constB32))))))),
% 6.28/4.56 inference(transitivity,[status(thm)],[7208, 7206])).
% 6.28/4.56 tff(7210,plain,
% 6.28/4.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32))))))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7211,plain,
% 6.28/4.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32)))))),
% 6.28/4.56 inference(modus_ponens,[status(thm)],[7210, 7209])).
% 6.28/4.56 tff(7212,plain,
% 6.28/4.56 (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7211, 3517, 293])).
% 6.28/4.56 tff(7213,plain,
% 6.28/4.56 (((~![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)))),
% 6.28/4.56 inference(rewrite,[status(thm)],[])).
% 6.28/4.56 tff(7214,plain,
% 6.28/4.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32)))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7215,plain,
% 6.28/4.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32))),
% 6.28/4.56 inference(modus_ponens,[status(thm)],[7214, 7213])).
% 6.28/4.56 tff(7216,plain,
% 6.28/4.56 ((~v102(constB32)) <=> v104(constB32)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7215, 3517, 4609])).
% 6.28/4.56 tff(7217,plain,
% 6.28/4.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31)))),
% 6.28/4.56 inference(rewrite,[status(thm)],[])).
% 6.28/4.56 tff(7218,plain,
% 6.28/4.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31)))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7219,plain,
% 6.28/4.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31))),
% 6.28/4.56 inference(modus_ponens,[status(thm)],[7218, 7217])).
% 6.28/4.56 tff(7220,plain,
% 6.28/4.56 (v104(constB32) <=> v1(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7219, 3517, 4623])).
% 6.28/4.56 tff(7221,plain,
% 6.28/4.56 ((~(v104(constB32) <=> v1(constB31))) | (~v104(constB32)) | v1(constB31)),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7222,plain,
% 6.28/4.56 ((~(v104(constB32) <=> v1(constB31))) | (~v104(constB32))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7221, 3561])).
% 6.28/4.56 tff(7223,plain,
% 6.28/4.56 (~v104(constB32)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7222, 7220])).
% 6.28/4.56 tff(7224,plain,
% 6.28/4.56 ((~((~v102(constB32)) <=> v104(constB32))) | v102(constB32) | v104(constB32)),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7225,plain,
% 6.28/4.56 (v102(constB32)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7224, 7223, 7216])).
% 6.28/4.56 tff(7226,plain,
% 6.28/4.56 (v1(constB32) <=> v1(constB32)),
% 6.28/4.56 inference(rewrite,[status(thm)],[])).
% 6.28/4.56 tff(7227,axiom,(v1(constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_32')).
% 6.28/4.56 tff(7228,plain,
% 6.28/4.56 (v1(constB32)),
% 6.28/4.56 inference(modus_ponens,[status(thm)],[7227, 7226])).
% 6.28/4.56 tff(7229,plain,
% 6.28/4.56 ((~((~v1(constB32)) | (~v102(constB32)))) | (~v1(constB32)) | (~v102(constB32))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7230,plain,
% 6.28/4.56 ((~((~v1(constB32)) | (~v102(constB32)))) | (~v102(constB32))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7229, 7228])).
% 6.28/4.56 tff(7231,plain,
% 6.28/4.56 (~((~v1(constB32)) | (~v102(constB32)))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7230, 7225])).
% 6.28/4.56 tff(7232,plain,
% 6.28/4.56 ((~(v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32)))))) | v101(constB32) | ((~v1(constB32)) | (~v102(constB32)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7233,plain,
% 6.28/4.56 (v101(constB32)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7232, 7231, 7212])).
% 6.28/4.56 tff(7234,plain,
% 6.28/4.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31)))),
% 6.28/4.56 inference(rewrite,[status(thm)],[])).
% 6.28/4.56 tff(7235,plain,
% 6.28/4.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31)))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7236,plain,
% 6.28/4.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31))),
% 6.28/4.56 inference(modus_ponens,[status(thm)],[7235, 7234])).
% 6.28/4.56 tff(7237,plain,
% 6.28/4.56 (v110(constB32) <=> v108(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7236, 3517, 4650])).
% 6.28/4.56 tff(7238,plain,
% 6.28/4.56 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB31) <=> (v111(constB31) | v112(constB31)))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7239,plain,
% 6.28/4.56 (v108(constB31) <=> (v111(constB31) | v112(constB31))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7238, 4661])).
% 6.28/4.56 tff(7240,plain,
% 6.28/4.56 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31)))))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7241,plain,
% 6.28/4.56 (v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31))))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7240, 4673])).
% 6.28/4.56 tff(7242,plain,
% 6.28/4.56 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB31) <=> (v114(constB31) | v125(constB31)))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7243,plain,
% 6.28/4.56 (v113(constB31) <=> (v114(constB31) | v125(constB31))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7242, 4682])).
% 6.28/4.56 tff(7244,plain,
% 6.28/4.56 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB31) <=> (v115(constB31) | v124(constB31)))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7245,plain,
% 6.28/4.56 (v114(constB31) <=> (v115(constB31) | v124(constB31))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7244, 4691])).
% 6.28/4.56 tff(7246,plain,
% 6.28/4.56 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB31) <=> (v116(constB31) | v123(constB31)))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7247,plain,
% 6.28/4.56 (v115(constB31) <=> (v116(constB31) | v123(constB31))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7246, 4700])).
% 6.28/4.56 tff(7248,plain,
% 6.28/4.56 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB31) <=> (v117(constB31) | v122(constB31)))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7249,plain,
% 6.28/4.56 (v116(constB31) <=> (v117(constB31) | v122(constB31))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7248, 4709])).
% 6.28/4.56 tff(7250,plain,
% 6.28/4.56 ((v117(constB31) | v122(constB31)) | (~v122(constB31))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7251,plain,
% 6.28/4.56 (v117(constB31) | v122(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7250, 7187])).
% 6.28/4.56 tff(7252,plain,
% 6.28/4.56 ((~(v116(constB31) <=> (v117(constB31) | v122(constB31)))) | v116(constB31) | (~(v117(constB31) | v122(constB31)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7253,plain,
% 6.28/4.56 (v116(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7252, 7251, 7249])).
% 6.28/4.56 tff(7254,plain,
% 6.28/4.56 ((v116(constB31) | v123(constB31)) | (~v116(constB31))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7255,plain,
% 6.28/4.56 (v116(constB31) | v123(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7254, 7253])).
% 6.28/4.56 tff(7256,plain,
% 6.28/4.56 ((~(v115(constB31) <=> (v116(constB31) | v123(constB31)))) | v115(constB31) | (~(v116(constB31) | v123(constB31)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7257,plain,
% 6.28/4.56 (v115(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7256, 7255, 7247])).
% 6.28/4.56 tff(7258,plain,
% 6.28/4.56 ((v115(constB31) | v124(constB31)) | (~v115(constB31))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7259,plain,
% 6.28/4.56 (v115(constB31) | v124(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7258, 7257])).
% 6.28/4.56 tff(7260,plain,
% 6.28/4.56 ((~(v114(constB31) <=> (v115(constB31) | v124(constB31)))) | v114(constB31) | (~(v115(constB31) | v124(constB31)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7261,plain,
% 6.28/4.56 (v114(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7260, 7259, 7245])).
% 6.28/4.56 tff(7262,plain,
% 6.28/4.56 ((v114(constB31) | v125(constB31)) | (~v114(constB31))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7263,plain,
% 6.28/4.56 (v114(constB31) | v125(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7262, 7261])).
% 6.28/4.56 tff(7264,plain,
% 6.28/4.56 ((~(v113(constB31) <=> (v114(constB31) | v125(constB31)))) | v113(constB31) | (~(v114(constB31) | v125(constB31)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7265,plain,
% 6.28/4.56 (v113(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7264, 7263, 7243])).
% 6.28/4.56 tff(7266,plain,
% 6.28/4.56 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB31)) <=> v111(constB31))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7267,plain,
% 6.28/4.56 ((~v126(constB31)) <=> v111(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7266, 4761])).
% 6.28/4.56 tff(7268,plain,
% 6.28/4.56 ((~((~v126(constB31)) <=> v111(constB31))) | v126(constB31) | v111(constB31)),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7269,plain,
% 6.28/4.56 ((~((~v126(constB31)) <=> v111(constB31))) | v126(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7268, 3530])).
% 6.28/4.56 tff(7270,plain,
% 6.28/4.56 (v126(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7269, 7267])).
% 6.28/4.56 tff(7271,plain,
% 6.28/4.56 ((~((~v113(constB31)) | (~v126(constB31)))) | (~v113(constB31)) | (~v126(constB31))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7272,plain,
% 6.28/4.56 ((~((~v113(constB31)) | (~v126(constB31)))) | (~v113(constB31))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7271, 7270])).
% 6.28/4.56 tff(7273,plain,
% 6.28/4.56 (~((~v113(constB31)) | (~v126(constB31)))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7272, 7265])).
% 6.28/4.56 tff(7274,plain,
% 6.28/4.56 ((~(v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31)))))) | v112(constB31) | ((~v113(constB31)) | (~v126(constB31)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7275,plain,
% 6.28/4.56 (v112(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7274, 7273, 7241])).
% 6.28/4.56 tff(7276,plain,
% 6.28/4.56 ((v111(constB31) | v112(constB31)) | (~v112(constB31))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7277,plain,
% 6.28/4.56 (v111(constB31) | v112(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7276, 7275])).
% 6.28/4.56 tff(7278,plain,
% 6.28/4.56 ((~(v108(constB31) <=> (v111(constB31) | v112(constB31)))) | v108(constB31) | (~(v111(constB31) | v112(constB31)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7279,plain,
% 6.28/4.56 (v108(constB31)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7278, 7277, 7239])).
% 6.28/4.56 tff(7280,plain,
% 6.28/4.56 ((~(v110(constB32) <=> v108(constB31))) | v110(constB32) | (~v108(constB31))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7281,plain,
% 6.28/4.56 (v110(constB32)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7280, 7279, 7237])).
% 6.28/4.56 tff(7282,plain,
% 6.28/4.56 ((~((~v101(constB32)) | (~v110(constB32)))) | (~v101(constB32)) | (~v110(constB32))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7283,plain,
% 6.28/4.56 (~((~v101(constB32)) | (~v110(constB32)))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7282, 7281, 7233])).
% 6.28/4.56 tff(7284,plain,
% 6.28/4.56 ((~(v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32)))))) | v100(constB32) | ((~v101(constB32)) | (~v110(constB32)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7285,plain,
% 6.28/4.56 (v100(constB32)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7284, 7283, 7205])).
% 6.28/4.56 tff(7286,plain,
% 6.28/4.56 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB32)) | (~(((~v90(constB32, 2)) <=> v129(constB32, 2)) | ((~v90(constB32, 1)) <=> v129(constB32, 1)) | ((~v90(constB32, 0)) <=> v129(constB32, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB32)) | (~(((~v90(constB32, 2)) <=> v129(constB32, 2)) | ((~v90(constB32, 1)) <=> v129(constB32, 1)) | ((~v90(constB32, 0)) <=> v129(constB32, 0)))))),
% 6.28/4.56 inference(rewrite,[status(thm)],[])).
% 6.28/4.56 tff(7287,plain,
% 6.28/4.56 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB32)) | (~(((~v90(constB32, 2)) <=> v129(constB32, 2)) | ((~v90(constB32, 1)) <=> v129(constB32, 1)) | ((~v90(constB32, 0)) <=> v129(constB32, 0)))))),
% 6.28/4.56 inference(quant_inst,[status(thm)],[])).
% 6.28/4.56 tff(7288,plain,
% 6.28/4.56 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB32)) | (~(((~v90(constB32, 2)) <=> v129(constB32, 2)) | ((~v90(constB32, 1)) <=> v129(constB32, 1)) | ((~v90(constB32, 0)) <=> v129(constB32, 0))))),
% 6.28/4.56 inference(modus_ponens,[status(thm)],[7287, 7286])).
% 6.28/4.56 tff(7289,plain,
% 6.28/4.56 ((~v100(constB32)) | (~(((~v90(constB32, 2)) <=> v129(constB32, 2)) | ((~v90(constB32, 1)) <=> v129(constB32, 1)) | ((~v90(constB32, 0)) <=> v129(constB32, 0))))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7288, 4794])).
% 6.28/4.56 tff(7290,plain,
% 6.28/4.56 (~(((~v90(constB32, 2)) <=> v129(constB32, 2)) | ((~v90(constB32, 1)) <=> v129(constB32, 1)) | ((~v90(constB32, 0)) <=> v129(constB32, 0)))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7289, 7285])).
% 6.28/4.56 tff(7291,plain,
% 6.28/4.56 ((((~v90(constB32, 2)) <=> v129(constB32, 2)) | ((~v90(constB32, 1)) <=> v129(constB32, 1)) | ((~v90(constB32, 0)) <=> v129(constB32, 0))) | (~((~v90(constB32, 2)) <=> v129(constB32, 2)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7292,plain,
% 6.28/4.56 (~((~v90(constB32, 2)) <=> v129(constB32, 2))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7291, 7290])).
% 6.28/4.56 tff(7293,plain,
% 6.28/4.56 (((~v90(constB32, 2)) <=> v129(constB32, 2)) | v90(constB32, 2) | (~v129(constB32, 2))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7294,plain,
% 6.28/4.56 (v90(constB32, 2)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7293, 7292, 7201])).
% 6.28/4.56 tff(7295,plain,
% 6.28/4.56 (((~v90(constB33, 2)) <=> v90(constB32, 2)) | v90(constB33, 2) | (~v90(constB32, 2))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7296,plain,
% 6.28/4.56 (v90(constB33, 2)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7295, 7294, 3514])).
% 6.28/4.56 tff(7297,plain,
% 6.28/4.56 ((((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0))) | (~((~v90(constB33, 0)) <=> v90(constB32, 0)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7298,plain,
% 6.28/4.56 (~((~v90(constB33, 0)) <=> v90(constB32, 0))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7297, 3512])).
% 6.28/4.56 tff(7299,plain,
% 6.28/4.56 ((((~v129(constB32, 2)) <=> v127(constB31, 2)) | ((~v129(constB32, 1)) <=> v127(constB31, 1)) | ((~v129(constB32, 0)) <=> v127(constB31, 0))) | (~((~v129(constB32, 0)) <=> v127(constB31, 0)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7300,plain,
% 6.28/4.56 (~((~v129(constB32, 0)) <=> v127(constB31, 0))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7299, 3521])).
% 6.28/4.56 tff(7301,plain,
% 6.28/4.56 ((((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0))) | (~((~v127(constB31, 0)) <=> v130(constB31, 0)))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7302,plain,
% 6.28/4.56 (~((~v127(constB31, 0)) <=> v130(constB31, 0))),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7301, 3535])).
% 6.28/4.56 tff(7303,plain,
% 6.28/4.56 ((v130(constB31, 1) | v130(constB31, 0) | (~v130(constB31, 2))) | (~v130(constB31, 0))),
% 6.28/4.56 inference(tautology,[status(thm)],[])).
% 6.28/4.56 tff(7304,plain,
% 6.28/4.56 (~v130(constB31, 0)),
% 6.28/4.56 inference(unit_resolution,[status(thm)],[7303, 7195])).
% 6.28/4.57 tff(7305,plain,
% 6.28/4.57 (((~v127(constB31, 0)) <=> v130(constB31, 0)) | (~v127(constB31, 0)) | v130(constB31, 0)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7306,plain,
% 6.28/4.57 (~v127(constB31, 0)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7305, 7304, 7302])).
% 6.28/4.57 tff(7307,plain,
% 6.28/4.57 (((~v129(constB32, 0)) <=> v127(constB31, 0)) | (~v129(constB32, 0)) | v127(constB31, 0)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7308,plain,
% 6.28/4.57 (~v129(constB32, 0)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7307, 7306, 7300])).
% 6.28/4.57 tff(7309,plain,
% 6.28/4.57 ((((~v90(constB32, 2)) <=> v129(constB32, 2)) | ((~v90(constB32, 1)) <=> v129(constB32, 1)) | ((~v90(constB32, 0)) <=> v129(constB32, 0))) | (~((~v90(constB32, 0)) <=> v129(constB32, 0)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7310,plain,
% 6.28/4.57 (~((~v90(constB32, 0)) <=> v129(constB32, 0))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7309, 7290])).
% 6.28/4.57 tff(7311,plain,
% 6.28/4.57 (((~v90(constB32, 0)) <=> v129(constB32, 0)) | (~v90(constB32, 0)) | v129(constB32, 0)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7312,plain,
% 6.28/4.57 (~v90(constB32, 0)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7311, 7310, 7308])).
% 6.28/4.57 tff(7313,plain,
% 6.28/4.57 (((~v90(constB33, 0)) <=> v90(constB32, 0)) | (~v90(constB33, 0)) | v90(constB32, 0)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7314,plain,
% 6.28/4.57 (~v90(constB33, 0)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7313, 7312, 7298])).
% 6.28/4.57 tff(7315,plain,
% 6.28/4.57 ((((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0))) | (~((~v90(constB33, 1)) <=> v90(constB32, 1)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7316,plain,
% 6.28/4.57 (~((~v90(constB33, 1)) <=> v90(constB32, 1))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7315, 3512])).
% 6.28/4.57 tff(7317,plain,
% 6.28/4.57 ((((~v129(constB32, 2)) <=> v127(constB31, 2)) | ((~v129(constB32, 1)) <=> v127(constB31, 1)) | ((~v129(constB32, 0)) <=> v127(constB31, 0))) | (~((~v129(constB32, 1)) <=> v127(constB31, 1)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7318,plain,
% 6.28/4.57 (~((~v129(constB32, 1)) <=> v127(constB31, 1))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7317, 3521])).
% 6.28/4.57 tff(7319,plain,
% 6.28/4.57 ((((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0))) | (~((~v127(constB31, 1)) <=> v130(constB31, 1)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7320,plain,
% 6.28/4.57 (~((~v127(constB31, 1)) <=> v130(constB31, 1))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7319, 3535])).
% 6.28/4.57 tff(7321,plain,
% 6.28/4.57 ((v130(constB31, 1) | v130(constB31, 0) | (~v130(constB31, 2))) | (~v130(constB31, 1))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7322,plain,
% 6.28/4.57 (~v130(constB31, 1)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7321, 7195])).
% 6.28/4.57 tff(7323,plain,
% 6.28/4.57 (((~v127(constB31, 1)) <=> v130(constB31, 1)) | (~v127(constB31, 1)) | v130(constB31, 1)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7324,plain,
% 6.28/4.57 (~v127(constB31, 1)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7323, 7322, 7320])).
% 6.28/4.57 tff(7325,plain,
% 6.28/4.57 (((~v129(constB32, 1)) <=> v127(constB31, 1)) | (~v129(constB32, 1)) | v127(constB31, 1)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7326,plain,
% 6.28/4.57 (~v129(constB32, 1)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7325, 7324, 7318])).
% 6.28/4.57 tff(7327,plain,
% 6.28/4.57 ((((~v90(constB32, 2)) <=> v129(constB32, 2)) | ((~v90(constB32, 1)) <=> v129(constB32, 1)) | ((~v90(constB32, 0)) <=> v129(constB32, 0))) | (~((~v90(constB32, 1)) <=> v129(constB32, 1)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7328,plain,
% 6.28/4.57 (~((~v90(constB32, 1)) <=> v129(constB32, 1))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7327, 7290])).
% 6.28/4.57 tff(7329,plain,
% 6.28/4.57 (((~v90(constB32, 1)) <=> v129(constB32, 1)) | (~v90(constB32, 1)) | v129(constB32, 1)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7330,plain,
% 6.28/4.57 (~v90(constB32, 1)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7329, 7328, 7326])).
% 6.28/4.57 tff(7331,plain,
% 6.28/4.57 (((~v90(constB33, 1)) <=> v90(constB32, 1)) | (~v90(constB33, 1)) | v90(constB32, 1)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7332,plain,
% 6.28/4.57 (~v90(constB33, 1)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7331, 7330, 7316])).
% 6.28/4.57 tff(7333,plain,
% 6.28/4.57 ((~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2)))) | v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7334,plain,
% 6.28/4.57 (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2)))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7333, 7332, 7314, 7296])).
% 6.28/4.57 tff(7335,plain,
% 6.28/4.57 ((~(v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2)))))) | v123(constB33) | (v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7336,plain,
% 6.28/4.57 (v123(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7335, 7334, 3478])).
% 6.28/4.57 tff(7337,plain,
% 6.28/4.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB33)) | (~(v130(constB33, 0) | (~v130(constB33, 2)) | (~v130(constB33, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB33)) | (~(v130(constB33, 0) | (~v130(constB33, 2)) | (~v130(constB33, 1)))))),
% 6.28/4.57 inference(rewrite,[status(thm)],[])).
% 6.28/4.57 tff(7338,plain,
% 6.28/4.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB33)) | (~(v130(constB33, 0) | (~v130(constB33, 2)) | (~v130(constB33, 1)))))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7339,plain,
% 6.28/4.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB33)) | (~(v130(constB33, 0) | (~v130(constB33, 2)) | (~v130(constB33, 1))))),
% 6.28/4.57 inference(modus_ponens,[status(thm)],[7338, 7337])).
% 6.28/4.57 tff(7340,plain,
% 6.28/4.57 ((~v123(constB33)) | (~(v130(constB33, 0) | (~v130(constB33, 2)) | (~v130(constB33, 1))))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7339, 4861])).
% 6.28/4.57 tff(7341,plain,
% 6.28/4.57 (~(v130(constB33, 0) | (~v130(constB33, 2)) | (~v130(constB33, 1)))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7340, 7336])).
% 6.28/4.57 tff(7342,plain,
% 6.28/4.57 ((v130(constB33, 0) | (~v130(constB33, 2)) | (~v130(constB33, 1))) | (~v130(constB33, 0))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7343,plain,
% 6.28/4.57 (~v130(constB33, 0)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7342, 7341])).
% 6.28/4.57 tff(7344,plain,
% 6.28/4.57 (((~v127(constB33, 0)) <=> v130(constB33, 0)) | (~v127(constB33, 0)) | v130(constB33, 0)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7345,plain,
% 6.28/4.57 (~v127(constB33, 0)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7344, 7343, 3471])).
% 6.28/4.57 tff(7346,plain,
% 6.28/4.57 (((~v129(constB34, 0)) <=> v127(constB33, 0)) | (~v129(constB34, 0)) | v127(constB33, 0)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7347,plain,
% 6.28/4.57 (~v129(constB34, 0)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7346, 7345, 3457])).
% 6.28/4.57 tff(7348,plain,
% 6.28/4.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))))),
% 6.28/4.57 inference(rewrite,[status(thm)],[])).
% 6.28/4.57 tff(7349,plain,
% 6.28/4.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7350,plain,
% 6.28/4.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34)))))),
% 6.28/4.57 inference(modus_ponens,[status(thm)],[7349, 7348])).
% 6.28/4.57 tff(7351,plain,
% 6.28/4.57 (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7350, 3451, 273])).
% 6.28/4.57 tff(7352,plain,
% 6.28/4.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))),
% 6.28/4.57 inference(rewrite,[status(thm)],[])).
% 6.28/4.57 tff(7353,plain,
% 6.28/4.57 (((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34)))))) <=> ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))),
% 6.28/4.57 inference(rewrite,[status(thm)],[])).
% 6.28/4.57 tff(7354,plain,
% 6.28/4.57 (((~![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) <=> (~((~v1(constB34)) | (~v102(constB34)))))))),
% 6.28/4.57 inference(monotonicity,[status(thm)],[7353])).
% 6.28/4.57 tff(7355,plain,
% 6.28/4.57 (((~![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) <=> (~((~v1(constB34)) | (~v102(constB34))))))),
% 6.28/4.57 inference(transitivity,[status(thm)],[7354, 7352])).
% 6.28/4.57 tff(7356,plain,
% 6.28/4.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34))))))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7357,plain,
% 6.28/4.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34)))))),
% 6.28/4.57 inference(modus_ponens,[status(thm)],[7356, 7355])).
% 6.28/4.57 tff(7358,plain,
% 6.28/4.57 (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7357, 3451, 293])).
% 6.28/4.57 tff(7359,plain,
% 6.28/4.57 (((~![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)))),
% 6.28/4.57 inference(rewrite,[status(thm)],[])).
% 6.28/4.57 tff(7360,plain,
% 6.28/4.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34)))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7361,plain,
% 6.28/4.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34))),
% 6.28/4.57 inference(modus_ponens,[status(thm)],[7360, 7359])).
% 6.28/4.57 tff(7362,plain,
% 6.28/4.57 ((~v102(constB34)) <=> v104(constB34)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7361, 3451, 4609])).
% 6.28/4.57 tff(7363,plain,
% 6.28/4.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33)))),
% 6.28/4.57 inference(rewrite,[status(thm)],[])).
% 6.28/4.57 tff(7364,plain,
% 6.28/4.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33)))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7365,plain,
% 6.28/4.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33))),
% 6.28/4.57 inference(modus_ponens,[status(thm)],[7364, 7363])).
% 6.28/4.57 tff(7366,plain,
% 6.28/4.57 (v104(constB34) <=> v1(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7365, 3451, 4623])).
% 6.28/4.57 tff(7367,plain,
% 6.28/4.57 ((~(v104(constB34) <=> v1(constB33))) | (~v104(constB34)) | v1(constB33)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7368,plain,
% 6.28/4.57 ((~(v104(constB34) <=> v1(constB33))) | (~v104(constB34))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7367, 3495])).
% 6.28/4.57 tff(7369,plain,
% 6.28/4.57 (~v104(constB34)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7368, 7366])).
% 6.28/4.57 tff(7370,plain,
% 6.28/4.57 ((~((~v102(constB34)) <=> v104(constB34))) | v102(constB34) | v104(constB34)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7371,plain,
% 6.28/4.57 (v102(constB34)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7370, 7369, 7362])).
% 6.28/4.57 tff(7372,plain,
% 6.28/4.57 (v1(constB34) <=> v1(constB34)),
% 6.28/4.57 inference(rewrite,[status(thm)],[])).
% 6.28/4.57 tff(7373,axiom,(v1(constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_34')).
% 6.28/4.57 tff(7374,plain,
% 6.28/4.57 (v1(constB34)),
% 6.28/4.57 inference(modus_ponens,[status(thm)],[7373, 7372])).
% 6.28/4.57 tff(7375,plain,
% 6.28/4.57 ((~((~v1(constB34)) | (~v102(constB34)))) | (~v1(constB34)) | (~v102(constB34))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7376,plain,
% 6.28/4.57 ((~((~v1(constB34)) | (~v102(constB34)))) | (~v102(constB34))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7375, 7374])).
% 6.28/4.57 tff(7377,plain,
% 6.28/4.57 (~((~v1(constB34)) | (~v102(constB34)))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7376, 7371])).
% 6.28/4.57 tff(7378,plain,
% 6.28/4.57 ((~(v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34)))))) | v101(constB34) | ((~v1(constB34)) | (~v102(constB34)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7379,plain,
% 6.28/4.57 (v101(constB34)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7378, 7377, 7358])).
% 6.28/4.57 tff(7380,plain,
% 6.28/4.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33)))),
% 6.28/4.57 inference(rewrite,[status(thm)],[])).
% 6.28/4.57 tff(7381,plain,
% 6.28/4.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33)))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7382,plain,
% 6.28/4.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33))),
% 6.28/4.57 inference(modus_ponens,[status(thm)],[7381, 7380])).
% 6.28/4.57 tff(7383,plain,
% 6.28/4.57 (v110(constB34) <=> v108(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7382, 3451, 4650])).
% 6.28/4.57 tff(7384,plain,
% 6.28/4.57 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB33) <=> (v111(constB33) | v112(constB33)))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7385,plain,
% 6.28/4.57 (v108(constB33) <=> (v111(constB33) | v112(constB33))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7384, 4661])).
% 6.28/4.57 tff(7386,plain,
% 6.28/4.57 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33)))))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7387,plain,
% 6.28/4.57 (v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33))))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7386, 4673])).
% 6.28/4.57 tff(7388,plain,
% 6.28/4.57 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB33) <=> (v114(constB33) | v125(constB33)))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7389,plain,
% 6.28/4.57 (v113(constB33) <=> (v114(constB33) | v125(constB33))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7388, 4682])).
% 6.28/4.57 tff(7390,plain,
% 6.28/4.57 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB33) <=> (v115(constB33) | v124(constB33)))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7391,plain,
% 6.28/4.57 (v114(constB33) <=> (v115(constB33) | v124(constB33))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7390, 4691])).
% 6.28/4.57 tff(7392,plain,
% 6.28/4.57 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB33) <=> (v116(constB33) | v123(constB33)))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7393,plain,
% 6.28/4.57 (v115(constB33) <=> (v116(constB33) | v123(constB33))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7392, 4700])).
% 6.28/4.57 tff(7394,plain,
% 6.28/4.57 ((v116(constB33) | v123(constB33)) | (~v123(constB33))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7395,plain,
% 6.28/4.57 (v116(constB33) | v123(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7394, 7336])).
% 6.28/4.57 tff(7396,plain,
% 6.28/4.57 ((~(v115(constB33) <=> (v116(constB33) | v123(constB33)))) | v115(constB33) | (~(v116(constB33) | v123(constB33)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7397,plain,
% 6.28/4.57 (v115(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7396, 7395, 7393])).
% 6.28/4.57 tff(7398,plain,
% 6.28/4.57 ((v115(constB33) | v124(constB33)) | (~v115(constB33))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7399,plain,
% 6.28/4.57 (v115(constB33) | v124(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7398, 7397])).
% 6.28/4.57 tff(7400,plain,
% 6.28/4.57 ((~(v114(constB33) <=> (v115(constB33) | v124(constB33)))) | v114(constB33) | (~(v115(constB33) | v124(constB33)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7401,plain,
% 6.28/4.57 (v114(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7400, 7399, 7391])).
% 6.28/4.57 tff(7402,plain,
% 6.28/4.57 ((v114(constB33) | v125(constB33)) | (~v114(constB33))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7403,plain,
% 6.28/4.57 (v114(constB33) | v125(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7402, 7401])).
% 6.28/4.57 tff(7404,plain,
% 6.28/4.57 ((~(v113(constB33) <=> (v114(constB33) | v125(constB33)))) | v113(constB33) | (~(v114(constB33) | v125(constB33)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7405,plain,
% 6.28/4.57 (v113(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7404, 7403, 7389])).
% 6.28/4.57 tff(7406,plain,
% 6.28/4.57 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB33)) <=> v111(constB33))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7407,plain,
% 6.28/4.57 ((~v126(constB33)) <=> v111(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7406, 4761])).
% 6.28/4.57 tff(7408,plain,
% 6.28/4.57 ((~((~v126(constB33)) <=> v111(constB33))) | v126(constB33) | v111(constB33)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7409,plain,
% 6.28/4.57 ((~((~v126(constB33)) <=> v111(constB33))) | v126(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7408, 3464])).
% 6.28/4.57 tff(7410,plain,
% 6.28/4.57 (v126(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7409, 7407])).
% 6.28/4.57 tff(7411,plain,
% 6.28/4.57 ((~((~v113(constB33)) | (~v126(constB33)))) | (~v113(constB33)) | (~v126(constB33))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7412,plain,
% 6.28/4.57 ((~((~v113(constB33)) | (~v126(constB33)))) | (~v113(constB33))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7411, 7410])).
% 6.28/4.57 tff(7413,plain,
% 6.28/4.57 (~((~v113(constB33)) | (~v126(constB33)))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7412, 7405])).
% 6.28/4.57 tff(7414,plain,
% 6.28/4.57 ((~(v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33)))))) | v112(constB33) | ((~v113(constB33)) | (~v126(constB33)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7415,plain,
% 6.28/4.57 (v112(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7414, 7413, 7387])).
% 6.28/4.57 tff(7416,plain,
% 6.28/4.57 ((v111(constB33) | v112(constB33)) | (~v112(constB33))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7417,plain,
% 6.28/4.57 (v111(constB33) | v112(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7416, 7415])).
% 6.28/4.57 tff(7418,plain,
% 6.28/4.57 ((~(v108(constB33) <=> (v111(constB33) | v112(constB33)))) | v108(constB33) | (~(v111(constB33) | v112(constB33)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7419,plain,
% 6.28/4.57 (v108(constB33)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7418, 7417, 7385])).
% 6.28/4.57 tff(7420,plain,
% 6.28/4.57 ((~(v110(constB34) <=> v108(constB33))) | v110(constB34) | (~v108(constB33))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7421,plain,
% 6.28/4.57 (v110(constB34)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7420, 7419, 7383])).
% 6.28/4.57 tff(7422,plain,
% 6.28/4.57 ((~((~v101(constB34)) | (~v110(constB34)))) | (~v101(constB34)) | (~v110(constB34))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7423,plain,
% 6.28/4.57 (~((~v101(constB34)) | (~v110(constB34)))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7422, 7421, 7379])).
% 6.28/4.57 tff(7424,plain,
% 6.28/4.57 ((~(v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34)))))) | v100(constB34) | ((~v101(constB34)) | (~v110(constB34)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7425,plain,
% 6.28/4.57 (v100(constB34)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7424, 7423, 7351])).
% 6.28/4.57 tff(7426,plain,
% 6.28/4.57 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB34)) | (~(((~v90(constB34, 0)) <=> v129(constB34, 0)) | ((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB34)) | (~(((~v90(constB34, 0)) <=> v129(constB34, 0)) | ((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1)))))),
% 6.28/4.57 inference(rewrite,[status(thm)],[])).
% 6.28/4.57 tff(7427,plain,
% 6.28/4.57 (((~v100(constB34)) | (~(((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1)) | ((~v90(constB34, 0)) <=> v129(constB34, 0))))) <=> ((~v100(constB34)) | (~(((~v90(constB34, 0)) <=> v129(constB34, 0)) | ((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1)))))),
% 6.28/4.57 inference(rewrite,[status(thm)],[])).
% 6.28/4.57 tff(7428,plain,
% 6.28/4.57 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB34)) | (~(((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1)) | ((~v90(constB34, 0)) <=> v129(constB34, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB34)) | (~(((~v90(constB34, 0)) <=> v129(constB34, 0)) | ((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1))))))),
% 6.28/4.57 inference(monotonicity,[status(thm)],[7427])).
% 6.28/4.57 tff(7429,plain,
% 6.28/4.57 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB34)) | (~(((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1)) | ((~v90(constB34, 0)) <=> v129(constB34, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB34)) | (~(((~v90(constB34, 0)) <=> v129(constB34, 0)) | ((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1)))))),
% 6.28/4.57 inference(transitivity,[status(thm)],[7428, 7426])).
% 6.28/4.57 tff(7430,plain,
% 6.28/4.57 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB34)) | (~(((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1)) | ((~v90(constB34, 0)) <=> v129(constB34, 0)))))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7431,plain,
% 6.28/4.57 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB34)) | (~(((~v90(constB34, 0)) <=> v129(constB34, 0)) | ((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1))))),
% 6.28/4.57 inference(modus_ponens,[status(thm)],[7430, 7429])).
% 6.28/4.57 tff(7432,plain,
% 6.28/4.57 ((~v100(constB34)) | (~(((~v90(constB34, 0)) <=> v129(constB34, 0)) | ((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1))))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7431, 4794])).
% 6.28/4.57 tff(7433,plain,
% 6.28/4.57 (~(((~v90(constB34, 0)) <=> v129(constB34, 0)) | ((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1)))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7432, 7425])).
% 6.28/4.57 tff(7434,plain,
% 6.28/4.57 ((((~v90(constB34, 0)) <=> v129(constB34, 0)) | ((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1))) | (~((~v90(constB34, 0)) <=> v129(constB34, 0)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7435,plain,
% 6.28/4.57 (~((~v90(constB34, 0)) <=> v129(constB34, 0))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7434, 7433])).
% 6.28/4.57 tff(7436,plain,
% 6.28/4.57 (((~v90(constB34, 0)) <=> v129(constB34, 0)) | (~v90(constB34, 0)) | v129(constB34, 0)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7437,plain,
% 6.28/4.57 (~v90(constB34, 0)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7436, 7435, 7347])).
% 6.28/4.57 tff(7438,plain,
% 6.28/4.57 (((~v90(constB35, 0)) <=> v90(constB34, 0)) | (~v90(constB35, 0)) | v90(constB34, 0)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7439,plain,
% 6.28/4.57 (~v90(constB35, 0)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7438, 7437, 3448])).
% 6.28/4.57 tff(7440,plain,
% 6.28/4.57 ((v90(constB35, 1) | v90(constB35, 2) | (~v90(constB35, 0))) | v90(constB35, 0)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7441,plain,
% 6.28/4.57 (v90(constB35, 1) | v90(constB35, 2) | (~v90(constB35, 0))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7440, 7439])).
% 6.28/4.57 tff(7442,plain,
% 6.28/4.57 ((~(v120(constB35) <=> (~(v90(constB35, 1) | v90(constB35, 2) | (~v90(constB35, 0)))))) | (~v120(constB35)) | (~(v90(constB35, 1) | v90(constB35, 2) | (~v90(constB35, 0))))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7443,plain,
% 6.28/4.57 (~v120(constB35)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7442, 7441, 3412])).
% 6.28/4.57 tff(7444,plain,
% 6.28/4.57 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0))))))),
% 6.28/4.57 inference(rewrite,[status(thm)],[])).
% 6.28/4.57 tff(7445,plain,
% 6.28/4.57 ((v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 0)) | (~v90(constB35, 2))))) <=> (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0)))))),
% 6.28/4.57 inference(rewrite,[status(thm)],[])).
% 6.28/4.57 tff(7446,plain,
% 6.28/4.57 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 0)) | (~v90(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0))))))),
% 6.28/4.57 inference(monotonicity,[status(thm)],[7445])).
% 6.28/4.57 tff(7447,plain,
% 6.28/4.57 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 0)) | (~v90(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0))))))),
% 6.28/4.57 inference(transitivity,[status(thm)],[7446, 7444])).
% 6.28/4.57 tff(7448,plain,
% 6.28/4.57 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 0)) | (~v90(constB35, 2)))))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7449,plain,
% 6.28/4.57 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0)))))),
% 6.28/4.57 inference(modus_ponens,[status(thm)],[7448, 7447])).
% 6.28/4.57 tff(7450,plain,
% 6.28/4.57 (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0))))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7449, 4978])).
% 6.28/4.57 tff(7451,plain,
% 6.28/4.57 ((v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0))) | v90(constB35, 0)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7452,plain,
% 6.28/4.57 (v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7451, 7439])).
% 6.28/4.57 tff(7453,plain,
% 6.28/4.57 ((~(v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0)))))) | (~v124(constB35)) | (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0))))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7454,plain,
% 6.28/4.57 (~v124(constB35)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7453, 7452, 7450])).
% 6.28/4.57 tff(7455,plain,
% 6.28/4.57 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB35) <=> (~(v90(constB35, 1) | v90(constB35, 0) | (~v90(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB35) <=> (~(v90(constB35, 1) | v90(constB35, 0) | (~v90(constB35, 2))))))),
% 6.28/4.57 inference(rewrite,[status(thm)],[])).
% 6.28/4.57 tff(7456,plain,
% 6.28/4.57 ((v123(constB35) <=> (~(v90(constB35, 0) | v90(constB35, 1) | (~v90(constB35, 2))))) <=> (v123(constB35) <=> (~(v90(constB35, 1) | v90(constB35, 0) | (~v90(constB35, 2)))))),
% 6.28/4.57 inference(rewrite,[status(thm)],[])).
% 6.28/4.57 tff(7457,plain,
% 6.28/4.57 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB35) <=> (~(v90(constB35, 0) | v90(constB35, 1) | (~v90(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB35) <=> (~(v90(constB35, 1) | v90(constB35, 0) | (~v90(constB35, 2))))))),
% 6.28/4.57 inference(monotonicity,[status(thm)],[7456])).
% 6.28/4.57 tff(7458,plain,
% 6.28/4.57 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB35) <=> (~(v90(constB35, 0) | v90(constB35, 1) | (~v90(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB35) <=> (~(v90(constB35, 1) | v90(constB35, 0) | (~v90(constB35, 2))))))),
% 6.28/4.57 inference(transitivity,[status(thm)],[7457, 7455])).
% 6.28/4.57 tff(7459,plain,
% 6.28/4.57 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB35) <=> (~(v90(constB35, 0) | v90(constB35, 1) | (~v90(constB35, 2)))))),
% 6.28/4.57 inference(quant_inst,[status(thm)],[])).
% 6.28/4.57 tff(7460,plain,
% 6.28/4.57 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB35) <=> (~(v90(constB35, 1) | v90(constB35, 0) | (~v90(constB35, 2)))))),
% 6.28/4.57 inference(modus_ponens,[status(thm)],[7459, 7458])).
% 6.28/4.57 tff(7461,plain,
% 6.28/4.57 (v123(constB35) <=> (~(v90(constB35, 1) | v90(constB35, 0) | (~v90(constB35, 2))))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7460, 565])).
% 6.28/4.57 tff(7462,plain,
% 6.28/4.57 ((((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0))) | (~((~v90(constB35, 1)) <=> v90(constB34, 1)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7463,plain,
% 6.28/4.57 (~((~v90(constB35, 1)) <=> v90(constB34, 1))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7462, 3446])).
% 6.28/4.57 tff(7464,plain,
% 6.28/4.57 ((((~v129(constB34, 2)) <=> v127(constB33, 2)) | ((~v129(constB34, 1)) <=> v127(constB33, 1)) | ((~v129(constB34, 0)) <=> v127(constB33, 0))) | (~((~v129(constB34, 1)) <=> v127(constB33, 1)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7465,plain,
% 6.28/4.57 (~((~v129(constB34, 1)) <=> v127(constB33, 1))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7464, 3455])).
% 6.28/4.57 tff(7466,plain,
% 6.28/4.57 ((((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0))) | (~((~v127(constB33, 1)) <=> v130(constB33, 1)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7467,plain,
% 6.28/4.57 (~((~v127(constB33, 1)) <=> v130(constB33, 1))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7466, 3469])).
% 6.28/4.57 tff(7468,plain,
% 6.28/4.57 ((v130(constB33, 0) | (~v130(constB33, 2)) | (~v130(constB33, 1))) | v130(constB33, 1)),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7469,plain,
% 6.28/4.57 (v130(constB33, 1)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7468, 7341])).
% 6.28/4.57 tff(7470,plain,
% 6.28/4.57 (((~v127(constB33, 1)) <=> v130(constB33, 1)) | v127(constB33, 1) | (~v130(constB33, 1))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7471,plain,
% 6.28/4.57 (v127(constB33, 1)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7470, 7469, 7467])).
% 6.28/4.57 tff(7472,plain,
% 6.28/4.57 (((~v129(constB34, 1)) <=> v127(constB33, 1)) | v129(constB34, 1) | (~v127(constB33, 1))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7473,plain,
% 6.28/4.57 (v129(constB34, 1)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7472, 7471, 7465])).
% 6.28/4.57 tff(7474,plain,
% 6.28/4.57 ((((~v90(constB34, 0)) <=> v129(constB34, 0)) | ((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1))) | (~((~v90(constB34, 1)) <=> v129(constB34, 1)))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7475,plain,
% 6.28/4.57 (~((~v90(constB34, 1)) <=> v129(constB34, 1))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7474, 7433])).
% 6.28/4.57 tff(7476,plain,
% 6.28/4.57 (((~v90(constB34, 1)) <=> v129(constB34, 1)) | v90(constB34, 1) | (~v129(constB34, 1))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7477,plain,
% 6.28/4.57 (v90(constB34, 1)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7476, 7475, 7473])).
% 6.28/4.57 tff(7478,plain,
% 6.28/4.57 (((~v90(constB35, 1)) <=> v90(constB34, 1)) | v90(constB35, 1) | (~v90(constB34, 1))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7479,plain,
% 6.28/4.57 (v90(constB35, 1)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7478, 7477, 7463])).
% 6.28/4.57 tff(7480,plain,
% 6.28/4.57 ((v90(constB35, 1) | v90(constB35, 0) | (~v90(constB35, 2))) | (~v90(constB35, 1))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7481,plain,
% 6.28/4.57 (v90(constB35, 1) | v90(constB35, 0) | (~v90(constB35, 2))),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7480, 7479])).
% 6.28/4.57 tff(7482,plain,
% 6.28/4.57 ((~(v123(constB35) <=> (~(v90(constB35, 1) | v90(constB35, 0) | (~v90(constB35, 2)))))) | (~v123(constB35)) | (~(v90(constB35, 1) | v90(constB35, 0) | (~v90(constB35, 2))))),
% 6.28/4.57 inference(tautology,[status(thm)],[])).
% 6.28/4.57 tff(7483,plain,
% 6.28/4.57 (~v123(constB35)),
% 6.28/4.57 inference(unit_resolution,[status(thm)],[7482, 7481, 7461])).
% 6.28/4.57 tff(7484,plain,
% 6.28/4.57 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB35) <=> (~(v90(constB35, 2) | (~v90(constB35, 1)) | (~v90(constB35, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB35) <=> (~(v90(constB35, 2) | (~v90(constB35, 1)) | (~v90(constB35, 0))))))),
% 6.28/4.58 inference(rewrite,[status(thm)],[])).
% 6.28/4.58 tff(7485,plain,
% 6.28/4.58 ((v122(constB35) <=> (~(v90(constB35, 2) | (~v90(constB35, 0)) | (~v90(constB35, 1))))) <=> (v122(constB35) <=> (~(v90(constB35, 2) | (~v90(constB35, 1)) | (~v90(constB35, 0)))))),
% 6.28/4.58 inference(rewrite,[status(thm)],[])).
% 6.28/4.58 tff(7486,plain,
% 6.28/4.58 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB35) <=> (~(v90(constB35, 2) | (~v90(constB35, 0)) | (~v90(constB35, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB35) <=> (~(v90(constB35, 2) | (~v90(constB35, 1)) | (~v90(constB35, 0))))))),
% 6.28/4.58 inference(monotonicity,[status(thm)],[7485])).
% 6.28/4.58 tff(7487,plain,
% 6.28/4.58 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB35) <=> (~(v90(constB35, 2) | (~v90(constB35, 0)) | (~v90(constB35, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB35) <=> (~(v90(constB35, 2) | (~v90(constB35, 1)) | (~v90(constB35, 0))))))),
% 6.28/4.58 inference(transitivity,[status(thm)],[7486, 7484])).
% 6.28/4.58 tff(7488,plain,
% 6.28/4.58 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB35) <=> (~(v90(constB35, 2) | (~v90(constB35, 0)) | (~v90(constB35, 1)))))),
% 6.28/4.58 inference(quant_inst,[status(thm)],[])).
% 6.28/4.58 tff(7489,plain,
% 6.28/4.58 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB35) <=> (~(v90(constB35, 2) | (~v90(constB35, 1)) | (~v90(constB35, 0)))))),
% 6.28/4.58 inference(modus_ponens,[status(thm)],[7488, 7487])).
% 6.28/4.58 tff(7490,plain,
% 6.28/4.58 (v122(constB35) <=> (~(v90(constB35, 2) | (~v90(constB35, 1)) | (~v90(constB35, 0))))),
% 6.28/4.58 inference(unit_resolution,[status(thm)],[7489, 644])).
% 6.28/4.58 tff(7491,plain,
% 6.28/4.58 ((v90(constB35, 2) | (~v90(constB35, 1)) | (~v90(constB35, 0))) | v90(constB35, 0)),
% 6.28/4.58 inference(tautology,[status(thm)],[])).
% 6.28/4.58 tff(7492,plain,
% 6.28/4.58 (v90(constB35, 2) | (~v90(constB35, 1)) | (~v90(constB35, 0))),
% 6.28/4.58 inference(unit_resolution,[status(thm)],[7491, 7439])).
% 6.28/4.58 tff(7493,plain,
% 6.28/4.58 ((~(v122(constB35) <=> (~(v90(constB35, 2) | (~v90(constB35, 1)) | (~v90(constB35, 0)))))) | (~v122(constB35)) | (~(v90(constB35, 2) | (~v90(constB35, 1)) | (~v90(constB35, 0))))),
% 6.28/4.58 inference(tautology,[status(thm)],[])).
% 6.28/4.58 tff(7494,plain,
% 6.28/4.58 (~v122(constB35)),
% 6.28/4.58 inference(unit_resolution,[status(thm)],[7493, 7492, 7490])).
% 6.28/4.58 tff(7495,plain,
% 6.28/4.58 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB35) <=> (~(v90(constB35, 2) | v90(constB35, 0) | (~v90(constB35, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB35) <=> (~(v90(constB35, 2) | v90(constB35, 0) | (~v90(constB35, 1))))))),
% 6.28/4.58 inference(rewrite,[status(thm)],[])).
% 6.28/4.58 tff(7496,plain,
% 6.28/4.58 ((v121(constB35) <=> (~(v90(constB35, 0) | v90(constB35, 2) | (~v90(constB35, 1))))) <=> (v121(constB35) <=> (~(v90(constB35, 2) | v90(constB35, 0) | (~v90(constB35, 1)))))),
% 6.28/4.58 inference(rewrite,[status(thm)],[])).
% 6.28/4.58 tff(7497,plain,
% 6.28/4.58 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB35) <=> (~(v90(constB35, 0) | v90(constB35, 2) | (~v90(constB35, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB35) <=> (~(v90(constB35, 2) | v90(constB35, 0) | (~v90(constB35, 1))))))),
% 6.28/4.58 inference(monotonicity,[status(thm)],[7496])).
% 6.28/4.58 tff(7498,plain,
% 6.28/4.58 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB35) <=> (~(v90(constB35, 0) | v90(constB35, 2) | (~v90(constB35, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB35) <=> (~(v90(constB35, 2) | v90(constB35, 0) | (~v90(constB35, 1))))))),
% 6.39/4.58 inference(transitivity,[status(thm)],[7497, 7495])).
% 6.39/4.58 tff(7499,plain,
% 6.39/4.58 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB35) <=> (~(v90(constB35, 0) | v90(constB35, 2) | (~v90(constB35, 1)))))),
% 6.39/4.58 inference(quant_inst,[status(thm)],[])).
% 6.39/4.58 tff(7500,plain,
% 6.39/4.58 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB35) <=> (~(v90(constB35, 2) | v90(constB35, 0) | (~v90(constB35, 1)))))),
% 6.39/4.58 inference(modus_ponens,[status(thm)],[7499, 7498])).
% 6.39/4.58 tff(7501,plain,
% 6.39/4.58 (v121(constB35) <=> (~(v90(constB35, 2) | v90(constB35, 0) | (~v90(constB35, 1))))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7500, 723])).
% 6.39/4.58 tff(7502,plain,
% 6.39/4.58 ((((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0))) | (~((~v90(constB35, 2)) <=> v90(constB34, 2)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7503,plain,
% 6.39/4.58 (~((~v90(constB35, 2)) <=> v90(constB34, 2))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7502, 3446])).
% 6.39/4.58 tff(7504,plain,
% 6.39/4.58 ((((~v129(constB34, 2)) <=> v127(constB33, 2)) | ((~v129(constB34, 1)) <=> v127(constB33, 1)) | ((~v129(constB34, 0)) <=> v127(constB33, 0))) | (~((~v129(constB34, 2)) <=> v127(constB33, 2)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7505,plain,
% 6.39/4.58 (~((~v129(constB34, 2)) <=> v127(constB33, 2))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7504, 3455])).
% 6.39/4.58 tff(7506,plain,
% 6.39/4.58 ((((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0))) | (~((~v127(constB33, 2)) <=> v130(constB33, 2)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7507,plain,
% 6.39/4.58 (~((~v127(constB33, 2)) <=> v130(constB33, 2))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7506, 3469])).
% 6.39/4.58 tff(7508,plain,
% 6.39/4.58 ((v130(constB33, 0) | (~v130(constB33, 2)) | (~v130(constB33, 1))) | v130(constB33, 2)),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7509,plain,
% 6.39/4.58 (v130(constB33, 2)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7508, 7341])).
% 6.39/4.58 tff(7510,plain,
% 6.39/4.58 (((~v127(constB33, 2)) <=> v130(constB33, 2)) | v127(constB33, 2) | (~v130(constB33, 2))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7511,plain,
% 6.39/4.58 (v127(constB33, 2)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7510, 7509, 7507])).
% 6.39/4.58 tff(7512,plain,
% 6.39/4.58 (((~v129(constB34, 2)) <=> v127(constB33, 2)) | v129(constB34, 2) | (~v127(constB33, 2))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7513,plain,
% 6.39/4.58 (v129(constB34, 2)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7512, 7511, 7505])).
% 6.39/4.58 tff(7514,plain,
% 6.39/4.58 ((((~v90(constB34, 0)) <=> v129(constB34, 0)) | ((~v90(constB34, 2)) <=> v129(constB34, 2)) | ((~v90(constB34, 1)) <=> v129(constB34, 1))) | (~((~v90(constB34, 2)) <=> v129(constB34, 2)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7515,plain,
% 6.39/4.58 (~((~v90(constB34, 2)) <=> v129(constB34, 2))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7514, 7433])).
% 6.39/4.58 tff(7516,plain,
% 6.39/4.58 (((~v90(constB34, 2)) <=> v129(constB34, 2)) | v90(constB34, 2) | (~v129(constB34, 2))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7517,plain,
% 6.39/4.58 (v90(constB34, 2)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7516, 7515, 7513])).
% 6.39/4.58 tff(7518,plain,
% 6.39/4.58 (((~v90(constB35, 2)) <=> v90(constB34, 2)) | v90(constB35, 2) | (~v90(constB34, 2))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7519,plain,
% 6.39/4.58 (v90(constB35, 2)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7518, 7517, 7503])).
% 6.39/4.58 tff(7520,plain,
% 6.39/4.58 ((v90(constB35, 2) | v90(constB35, 0) | (~v90(constB35, 1))) | (~v90(constB35, 2))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7521,plain,
% 6.39/4.58 (v90(constB35, 2) | v90(constB35, 0) | (~v90(constB35, 1))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7520, 7519])).
% 6.39/4.58 tff(7522,plain,
% 6.39/4.58 ((~(v121(constB35) <=> (~(v90(constB35, 2) | v90(constB35, 0) | (~v90(constB35, 1)))))) | (~v121(constB35)) | (~(v90(constB35, 2) | v90(constB35, 0) | (~v90(constB35, 1))))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7523,plain,
% 6.39/4.58 (~v121(constB35)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7522, 7521, 7501])).
% 6.39/4.58 tff(7524,plain,
% 6.39/4.58 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB35) <=> (~(v90(constB35, 0) | v90(constB35, 1) | v90(constB35, 2))))),
% 6.39/4.58 inference(quant_inst,[status(thm)],[])).
% 6.39/4.58 tff(7525,plain,
% 6.39/4.58 (v119(constB35) <=> (~(v90(constB35, 0) | v90(constB35, 1) | v90(constB35, 2)))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7524, 491])).
% 6.39/4.58 tff(7526,plain,
% 6.39/4.58 ((v90(constB35, 0) | v90(constB35, 1) | v90(constB35, 2)) | (~v90(constB35, 2))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7527,plain,
% 6.39/4.58 (v90(constB35, 0) | v90(constB35, 1) | v90(constB35, 2)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7526, 7519])).
% 6.39/4.58 tff(7528,plain,
% 6.39/4.58 ((~(v119(constB35) <=> (~(v90(constB35, 0) | v90(constB35, 1) | v90(constB35, 2))))) | (~v119(constB35)) | (~(v90(constB35, 0) | v90(constB35, 1) | v90(constB35, 2)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7529,plain,
% 6.39/4.58 (~v119(constB35)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7528, 7527, 7525])).
% 6.39/4.58 tff(7530,plain,
% 6.39/4.58 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0)))))),
% 6.39/4.58 inference(rewrite,[status(thm)],[])).
% 6.39/4.58 tff(7531,plain,
% 6.39/4.58 ((v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~(v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0))))) <=> (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0)))))),
% 6.39/4.58 inference(rewrite,[status(thm)],[])).
% 6.39/4.58 tff(7532,plain,
% 6.39/4.58 ((~(v130(constB35, 1) | v130(constB35, 2) | (~v130(constB35, 0)))) <=> (~(v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0))))),
% 6.39/4.58 inference(rewrite,[status(thm)],[])).
% 6.39/4.58 tff(7533,plain,
% 6.39/4.58 ((v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~(v130(constB35, 1) | v130(constB35, 2) | (~v130(constB35, 0))))) <=> (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~(v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0)))))),
% 6.39/4.58 inference(monotonicity,[status(thm)],[7532])).
% 6.39/4.58 tff(7534,plain,
% 6.39/4.58 ((v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~(v130(constB35, 1) | v130(constB35, 2) | (~v130(constB35, 0))))) <=> (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0)))))),
% 6.39/4.58 inference(transitivity,[status(thm)],[7533, 7531])).
% 6.39/4.58 tff(7535,plain,
% 6.39/4.58 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~(v130(constB35, 1) | v130(constB35, 2) | (~v130(constB35, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0))))))),
% 6.39/4.58 inference(monotonicity,[status(thm)],[7534])).
% 6.39/4.58 tff(7536,plain,
% 6.39/4.58 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~(v130(constB35, 1) | v130(constB35, 2) | (~v130(constB35, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0)))))),
% 6.39/4.58 inference(transitivity,[status(thm)],[7535, 7530])).
% 6.39/4.58 tff(7537,plain,
% 6.39/4.58 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~(v130(constB35, 1) | v130(constB35, 2) | (~v130(constB35, 0)))))),
% 6.39/4.58 inference(quant_inst,[status(thm)],[])).
% 6.39/4.58 tff(7538,plain,
% 6.39/4.58 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0))))),
% 6.39/4.58 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 6.39/4.58 tff(7539,plain,
% 6.39/4.58 (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0))))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7538, 5059])).
% 6.39/4.58 tff(7540,plain,
% 6.39/4.58 (~(v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0)))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7539, 7529, 7523, 7494, 7483, 7454, 7443])).
% 6.39/4.58 tff(7541,plain,
% 6.39/4.58 ((v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0))) | (~v130(constB35, 2))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7542,plain,
% 6.39/4.58 (~v130(constB35, 2)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7541, 7540])).
% 6.39/4.58 tff(7543,plain,
% 6.39/4.58 (((~v127(constB35, 2)) <=> v130(constB35, 2)) | (~v127(constB35, 2)) | v130(constB35, 2)),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7544,plain,
% 6.39/4.58 (~v127(constB35, 2)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7543, 7542, 3410])).
% 6.39/4.58 tff(7545,plain,
% 6.39/4.58 (((~v129(constB36, 2)) <=> v127(constB35, 2)) | (~v129(constB36, 2)) | v127(constB35, 2)),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7546,plain,
% 6.39/4.58 (~v129(constB36, 2)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7545, 7544, 3396])).
% 6.39/4.58 tff(7547,plain,
% 6.39/4.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))))),
% 6.39/4.58 inference(rewrite,[status(thm)],[])).
% 6.39/4.58 tff(7548,plain,
% 6.39/4.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))))),
% 6.39/4.58 inference(quant_inst,[status(thm)],[])).
% 6.39/4.58 tff(7549,plain,
% 6.39/4.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36)))))),
% 6.39/4.58 inference(modus_ponens,[status(thm)],[7548, 7547])).
% 6.39/4.58 tff(7550,plain,
% 6.39/4.58 (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7549, 3390, 273])).
% 6.39/4.58 tff(7551,plain,
% 6.39/4.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))),
% 6.39/4.58 inference(rewrite,[status(thm)],[])).
% 6.39/4.58 tff(7552,plain,
% 6.39/4.58 (((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36)))))) <=> ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))),
% 6.39/4.58 inference(rewrite,[status(thm)],[])).
% 6.39/4.58 tff(7553,plain,
% 6.39/4.58 (((~![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) <=> (~((~v1(constB36)) | (~v102(constB36)))))))),
% 6.39/4.58 inference(monotonicity,[status(thm)],[7552])).
% 6.39/4.58 tff(7554,plain,
% 6.39/4.58 (((~![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) <=> (~((~v1(constB36)) | (~v102(constB36))))))),
% 6.39/4.58 inference(transitivity,[status(thm)],[7553, 7551])).
% 6.39/4.58 tff(7555,plain,
% 6.39/4.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36))))))),
% 6.39/4.58 inference(quant_inst,[status(thm)],[])).
% 6.39/4.58 tff(7556,plain,
% 6.39/4.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36)))))),
% 6.39/4.58 inference(modus_ponens,[status(thm)],[7555, 7554])).
% 6.39/4.58 tff(7557,plain,
% 6.39/4.58 (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7556, 3390, 293])).
% 6.39/4.58 tff(7558,plain,
% 6.39/4.58 (((~![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)))),
% 6.39/4.58 inference(rewrite,[status(thm)],[])).
% 6.39/4.58 tff(7559,plain,
% 6.39/4.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36)))),
% 6.39/4.58 inference(quant_inst,[status(thm)],[])).
% 6.39/4.58 tff(7560,plain,
% 6.39/4.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36))),
% 6.39/4.58 inference(modus_ponens,[status(thm)],[7559, 7558])).
% 6.39/4.58 tff(7561,plain,
% 6.39/4.58 ((~v102(constB36)) <=> v104(constB36)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7560, 3390, 4609])).
% 6.39/4.58 tff(7562,plain,
% 6.39/4.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35)))),
% 6.39/4.58 inference(rewrite,[status(thm)],[])).
% 6.39/4.58 tff(7563,plain,
% 6.39/4.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35)))),
% 6.39/4.58 inference(quant_inst,[status(thm)],[])).
% 6.39/4.58 tff(7564,plain,
% 6.39/4.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35))),
% 6.39/4.58 inference(modus_ponens,[status(thm)],[7563, 7562])).
% 6.39/4.58 tff(7565,plain,
% 6.39/4.58 (v104(constB36) <=> v1(constB35)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7564, 3390, 4623])).
% 6.39/4.58 tff(7566,plain,
% 6.39/4.58 ((~(v104(constB36) <=> v1(constB35))) | (~v104(constB36)) | v1(constB35)),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7567,plain,
% 6.39/4.58 ((~(v104(constB36) <=> v1(constB35))) | (~v104(constB36))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7566, 3429])).
% 6.39/4.58 tff(7568,plain,
% 6.39/4.58 (~v104(constB36)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7567, 7565])).
% 6.39/4.58 tff(7569,plain,
% 6.39/4.58 ((~((~v102(constB36)) <=> v104(constB36))) | v102(constB36) | v104(constB36)),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7570,plain,
% 6.39/4.58 (v102(constB36)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7569, 7568, 7561])).
% 6.39/4.58 tff(7571,plain,
% 6.39/4.58 (v1(constB36) <=> v1(constB36)),
% 6.39/4.58 inference(rewrite,[status(thm)],[])).
% 6.39/4.58 tff(7572,axiom,(v1(constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_36')).
% 6.39/4.58 tff(7573,plain,
% 6.39/4.58 (v1(constB36)),
% 6.39/4.58 inference(modus_ponens,[status(thm)],[7572, 7571])).
% 6.39/4.58 tff(7574,plain,
% 6.39/4.58 ((~((~v1(constB36)) | (~v102(constB36)))) | (~v1(constB36)) | (~v102(constB36))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7575,plain,
% 6.39/4.58 ((~((~v1(constB36)) | (~v102(constB36)))) | (~v102(constB36))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7574, 7573])).
% 6.39/4.58 tff(7576,plain,
% 6.39/4.58 (~((~v1(constB36)) | (~v102(constB36)))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7575, 7570])).
% 6.39/4.58 tff(7577,plain,
% 6.39/4.58 ((~(v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36)))))) | v101(constB36) | ((~v1(constB36)) | (~v102(constB36)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7578,plain,
% 6.39/4.58 (v101(constB36)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7577, 7576, 7557])).
% 6.39/4.58 tff(7579,plain,
% 6.39/4.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35)))),
% 6.39/4.58 inference(rewrite,[status(thm)],[])).
% 6.39/4.58 tff(7580,plain,
% 6.39/4.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35)))),
% 6.39/4.58 inference(quant_inst,[status(thm)],[])).
% 6.39/4.58 tff(7581,plain,
% 6.39/4.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35))),
% 6.39/4.58 inference(modus_ponens,[status(thm)],[7580, 7579])).
% 6.39/4.58 tff(7582,plain,
% 6.39/4.58 (v110(constB36) <=> v108(constB35)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7581, 3390, 4650])).
% 6.39/4.58 tff(7583,plain,
% 6.39/4.58 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB35) <=> (v111(constB35) | v112(constB35)))),
% 6.39/4.58 inference(quant_inst,[status(thm)],[])).
% 6.39/4.58 tff(7584,plain,
% 6.39/4.58 (v108(constB35) <=> (v111(constB35) | v112(constB35))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7583, 4661])).
% 6.39/4.58 tff(7585,plain,
% 6.39/4.58 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35)))))),
% 6.39/4.58 inference(quant_inst,[status(thm)],[])).
% 6.39/4.58 tff(7586,plain,
% 6.39/4.58 (v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35))))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7585, 4673])).
% 6.39/4.58 tff(7587,plain,
% 6.39/4.58 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB35) <=> (v114(constB35) | v125(constB35)))),
% 6.39/4.58 inference(quant_inst,[status(thm)],[])).
% 6.39/4.58 tff(7588,plain,
% 6.39/4.58 (v113(constB35) <=> (v114(constB35) | v125(constB35))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7587, 4682])).
% 6.39/4.58 tff(7589,plain,
% 6.39/4.58 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB35) <=> (~(v90(constB35, 0) | (~v90(constB35, 1)) | (~v90(constB35, 2)))))),
% 6.39/4.58 inference(quant_inst,[status(thm)],[])).
% 6.39/4.58 tff(7590,plain,
% 6.39/4.58 (v125(constB35) <=> (~(v90(constB35, 0) | (~v90(constB35, 1)) | (~v90(constB35, 2))))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7589, 5131])).
% 6.39/4.58 tff(7591,plain,
% 6.39/4.58 ((~(v90(constB35, 0) | (~v90(constB35, 1)) | (~v90(constB35, 2)))) | v90(constB35, 0) | (~v90(constB35, 1)) | (~v90(constB35, 2))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7592,plain,
% 6.39/4.58 (~(v90(constB35, 0) | (~v90(constB35, 1)) | (~v90(constB35, 2)))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7591, 7479, 7439, 7519])).
% 6.39/4.58 tff(7593,plain,
% 6.39/4.58 ((~(v125(constB35) <=> (~(v90(constB35, 0) | (~v90(constB35, 1)) | (~v90(constB35, 2)))))) | v125(constB35) | (v90(constB35, 0) | (~v90(constB35, 1)) | (~v90(constB35, 2)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7594,plain,
% 6.39/4.58 (v125(constB35)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7593, 7592, 7590])).
% 6.39/4.58 tff(7595,plain,
% 6.39/4.58 ((v114(constB35) | v125(constB35)) | (~v125(constB35))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7596,plain,
% 6.39/4.58 (v114(constB35) | v125(constB35)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7595, 7594])).
% 6.39/4.58 tff(7597,plain,
% 6.39/4.58 ((~(v113(constB35) <=> (v114(constB35) | v125(constB35)))) | v113(constB35) | (~(v114(constB35) | v125(constB35)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7598,plain,
% 6.39/4.58 (v113(constB35)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7597, 7596, 7588])).
% 6.39/4.58 tff(7599,plain,
% 6.39/4.58 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB35)) <=> v111(constB35))),
% 6.39/4.58 inference(quant_inst,[status(thm)],[])).
% 6.39/4.58 tff(7600,plain,
% 6.39/4.58 ((~v126(constB35)) <=> v111(constB35)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7599, 4761])).
% 6.39/4.58 tff(7601,plain,
% 6.39/4.58 ((~((~v126(constB35)) <=> v111(constB35))) | v126(constB35) | v111(constB35)),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7602,plain,
% 6.39/4.58 ((~((~v126(constB35)) <=> v111(constB35))) | v126(constB35)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7601, 3403])).
% 6.39/4.58 tff(7603,plain,
% 6.39/4.58 (v126(constB35)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7602, 7600])).
% 6.39/4.58 tff(7604,plain,
% 6.39/4.58 ((~((~v113(constB35)) | (~v126(constB35)))) | (~v113(constB35)) | (~v126(constB35))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7605,plain,
% 6.39/4.58 ((~((~v113(constB35)) | (~v126(constB35)))) | (~v113(constB35))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7604, 7603])).
% 6.39/4.58 tff(7606,plain,
% 6.39/4.58 (~((~v113(constB35)) | (~v126(constB35)))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7605, 7598])).
% 6.39/4.58 tff(7607,plain,
% 6.39/4.58 ((~(v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35)))))) | v112(constB35) | ((~v113(constB35)) | (~v126(constB35)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7608,plain,
% 6.39/4.58 (v112(constB35)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7607, 7606, 7586])).
% 6.39/4.58 tff(7609,plain,
% 6.39/4.58 ((v111(constB35) | v112(constB35)) | (~v112(constB35))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7610,plain,
% 6.39/4.58 (v111(constB35) | v112(constB35)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7609, 7608])).
% 6.39/4.58 tff(7611,plain,
% 6.39/4.58 ((~(v108(constB35) <=> (v111(constB35) | v112(constB35)))) | v108(constB35) | (~(v111(constB35) | v112(constB35)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7612,plain,
% 6.39/4.58 (v108(constB35)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7611, 7610, 7584])).
% 6.39/4.58 tff(7613,plain,
% 6.39/4.58 ((~(v110(constB36) <=> v108(constB35))) | v110(constB36) | (~v108(constB35))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7614,plain,
% 6.39/4.58 (v110(constB36)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7613, 7612, 7582])).
% 6.39/4.58 tff(7615,plain,
% 6.39/4.58 ((~((~v101(constB36)) | (~v110(constB36)))) | (~v101(constB36)) | (~v110(constB36))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7616,plain,
% 6.39/4.58 (~((~v101(constB36)) | (~v110(constB36)))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7615, 7614, 7578])).
% 6.39/4.58 tff(7617,plain,
% 6.39/4.58 ((~(v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36)))))) | v100(constB36) | ((~v101(constB36)) | (~v110(constB36)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7618,plain,
% 6.39/4.58 (v100(constB36)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7617, 7616, 7550])).
% 6.39/4.58 tff(7619,plain,
% 6.39/4.58 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB36)) | (~(((~v90(constB36, 2)) <=> v129(constB36, 2)) | ((~v90(constB36, 1)) <=> v129(constB36, 1)) | ((~v90(constB36, 0)) <=> v129(constB36, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB36)) | (~(((~v90(constB36, 2)) <=> v129(constB36, 2)) | ((~v90(constB36, 1)) <=> v129(constB36, 1)) | ((~v90(constB36, 0)) <=> v129(constB36, 0)))))),
% 6.39/4.58 inference(rewrite,[status(thm)],[])).
% 6.39/4.58 tff(7620,plain,
% 6.39/4.58 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB36)) | (~(((~v90(constB36, 2)) <=> v129(constB36, 2)) | ((~v90(constB36, 1)) <=> v129(constB36, 1)) | ((~v90(constB36, 0)) <=> v129(constB36, 0)))))),
% 6.39/4.58 inference(quant_inst,[status(thm)],[])).
% 6.39/4.58 tff(7621,plain,
% 6.39/4.58 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB36)) | (~(((~v90(constB36, 2)) <=> v129(constB36, 2)) | ((~v90(constB36, 1)) <=> v129(constB36, 1)) | ((~v90(constB36, 0)) <=> v129(constB36, 0))))),
% 6.39/4.58 inference(modus_ponens,[status(thm)],[7620, 7619])).
% 6.39/4.58 tff(7622,plain,
% 6.39/4.58 ((~v100(constB36)) | (~(((~v90(constB36, 2)) <=> v129(constB36, 2)) | ((~v90(constB36, 1)) <=> v129(constB36, 1)) | ((~v90(constB36, 0)) <=> v129(constB36, 0))))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7621, 4794])).
% 6.39/4.58 tff(7623,plain,
% 6.39/4.58 (~(((~v90(constB36, 2)) <=> v129(constB36, 2)) | ((~v90(constB36, 1)) <=> v129(constB36, 1)) | ((~v90(constB36, 0)) <=> v129(constB36, 0)))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7622, 7618])).
% 6.39/4.58 tff(7624,plain,
% 6.39/4.58 ((((~v90(constB36, 2)) <=> v129(constB36, 2)) | ((~v90(constB36, 1)) <=> v129(constB36, 1)) | ((~v90(constB36, 0)) <=> v129(constB36, 0))) | (~((~v90(constB36, 2)) <=> v129(constB36, 2)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7625,plain,
% 6.39/4.58 (~((~v90(constB36, 2)) <=> v129(constB36, 2))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7624, 7623])).
% 6.39/4.58 tff(7626,plain,
% 6.39/4.58 (((~v90(constB36, 2)) <=> v129(constB36, 2)) | (~v90(constB36, 2)) | v129(constB36, 2)),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7627,plain,
% 6.39/4.58 (~v90(constB36, 2)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7626, 7625, 7546])).
% 6.39/4.58 tff(7628,plain,
% 6.39/4.58 (((~v90(constB37, 2)) <=> v90(constB36, 2)) | (~v90(constB37, 2)) | v90(constB36, 2)),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7629,plain,
% 6.39/4.58 (~v90(constB37, 2)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7628, 7627, 3387])).
% 6.39/4.58 tff(7630,plain,
% 6.39/4.58 ((((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0))) | (~((~v90(constB37, 0)) <=> v90(constB36, 0)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7631,plain,
% 6.39/4.58 (~((~v90(constB37, 0)) <=> v90(constB36, 0))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7630, 3385])).
% 6.39/4.58 tff(7632,plain,
% 6.39/4.58 ((((~v129(constB36, 2)) <=> v127(constB35, 2)) | ((~v129(constB36, 1)) <=> v127(constB35, 1)) | ((~v129(constB36, 0)) <=> v127(constB35, 0))) | (~((~v129(constB36, 0)) <=> v127(constB35, 0)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7633,plain,
% 6.39/4.58 (~((~v129(constB36, 0)) <=> v127(constB35, 0))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7632, 3394])).
% 6.39/4.58 tff(7634,plain,
% 6.39/4.58 ((((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0))) | (~((~v127(constB35, 0)) <=> v130(constB35, 0)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7635,plain,
% 6.39/4.58 (~((~v127(constB35, 0)) <=> v130(constB35, 0))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7634, 3408])).
% 6.39/4.58 tff(7636,plain,
% 6.39/4.58 ((v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0))) | v130(constB35, 0)),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7637,plain,
% 6.39/4.58 (v130(constB35, 0)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7636, 7540])).
% 6.39/4.58 tff(7638,plain,
% 6.39/4.58 (((~v127(constB35, 0)) <=> v130(constB35, 0)) | v127(constB35, 0) | (~v130(constB35, 0))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7639,plain,
% 6.39/4.58 (v127(constB35, 0)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7638, 7637, 7635])).
% 6.39/4.58 tff(7640,plain,
% 6.39/4.58 (((~v129(constB36, 0)) <=> v127(constB35, 0)) | v129(constB36, 0) | (~v127(constB35, 0))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7641,plain,
% 6.39/4.58 (v129(constB36, 0)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7640, 7639, 7633])).
% 6.39/4.58 tff(7642,plain,
% 6.39/4.58 ((((~v90(constB36, 2)) <=> v129(constB36, 2)) | ((~v90(constB36, 1)) <=> v129(constB36, 1)) | ((~v90(constB36, 0)) <=> v129(constB36, 0))) | (~((~v90(constB36, 0)) <=> v129(constB36, 0)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7643,plain,
% 6.39/4.58 (~((~v90(constB36, 0)) <=> v129(constB36, 0))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7642, 7623])).
% 6.39/4.58 tff(7644,plain,
% 6.39/4.58 (((~v90(constB36, 0)) <=> v129(constB36, 0)) | v90(constB36, 0) | (~v129(constB36, 0))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7645,plain,
% 6.39/4.58 (v90(constB36, 0)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7644, 7643, 7641])).
% 6.39/4.58 tff(7646,plain,
% 6.39/4.58 (((~v90(constB37, 0)) <=> v90(constB36, 0)) | v90(constB37, 0) | (~v90(constB36, 0))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7647,plain,
% 6.39/4.58 (v90(constB37, 0)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7646, 7645, 7631])).
% 6.39/4.58 tff(7648,plain,
% 6.39/4.58 ((((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0))) | (~((~v90(constB37, 1)) <=> v90(constB36, 1)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7649,plain,
% 6.39/4.58 (~((~v90(constB37, 1)) <=> v90(constB36, 1))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7648, 3385])).
% 6.39/4.58 tff(7650,plain,
% 6.39/4.58 ((((~v129(constB36, 2)) <=> v127(constB35, 2)) | ((~v129(constB36, 1)) <=> v127(constB35, 1)) | ((~v129(constB36, 0)) <=> v127(constB35, 0))) | (~((~v129(constB36, 1)) <=> v127(constB35, 1)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7651,plain,
% 6.39/4.58 (~((~v129(constB36, 1)) <=> v127(constB35, 1))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7650, 3394])).
% 6.39/4.58 tff(7652,plain,
% 6.39/4.58 ((((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0))) | (~((~v127(constB35, 1)) <=> v130(constB35, 1)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7653,plain,
% 6.39/4.58 (~((~v127(constB35, 1)) <=> v130(constB35, 1))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7652, 3408])).
% 6.39/4.58 tff(7654,plain,
% 6.39/4.58 ((v130(constB35, 2) | v130(constB35, 1) | (~v130(constB35, 0))) | (~v130(constB35, 1))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7655,plain,
% 6.39/4.58 (~v130(constB35, 1)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7654, 7540])).
% 6.39/4.58 tff(7656,plain,
% 6.39/4.58 (((~v127(constB35, 1)) <=> v130(constB35, 1)) | (~v127(constB35, 1)) | v130(constB35, 1)),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7657,plain,
% 6.39/4.58 (~v127(constB35, 1)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7656, 7655, 7653])).
% 6.39/4.58 tff(7658,plain,
% 6.39/4.58 (((~v129(constB36, 1)) <=> v127(constB35, 1)) | (~v129(constB36, 1)) | v127(constB35, 1)),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7659,plain,
% 6.39/4.58 (~v129(constB36, 1)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7658, 7657, 7651])).
% 6.39/4.58 tff(7660,plain,
% 6.39/4.58 ((((~v90(constB36, 2)) <=> v129(constB36, 2)) | ((~v90(constB36, 1)) <=> v129(constB36, 1)) | ((~v90(constB36, 0)) <=> v129(constB36, 0))) | (~((~v90(constB36, 1)) <=> v129(constB36, 1)))),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7661,plain,
% 6.39/4.58 (~((~v90(constB36, 1)) <=> v129(constB36, 1))),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7660, 7623])).
% 6.39/4.58 tff(7662,plain,
% 6.39/4.58 (((~v90(constB36, 1)) <=> v129(constB36, 1)) | (~v90(constB36, 1)) | v129(constB36, 1)),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7663,plain,
% 6.39/4.58 (~v90(constB36, 1)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7662, 7661, 7659])).
% 6.39/4.58 tff(7664,plain,
% 6.39/4.58 (((~v90(constB37, 1)) <=> v90(constB36, 1)) | (~v90(constB37, 1)) | v90(constB36, 1)),
% 6.39/4.58 inference(tautology,[status(thm)],[])).
% 6.39/4.58 tff(7665,plain,
% 6.39/4.58 (~v90(constB37, 1)),
% 6.39/4.58 inference(unit_resolution,[status(thm)],[7664, 7663, 7649])).
% 6.39/4.58 tff(7666,plain,
% 6.39/4.58 ((~(v90(constB37, 1) | v90(constB37, 2) | (~v90(constB37, 0)))) | v90(constB37, 1) | v90(constB37, 2) | (~v90(constB37, 0))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7667,plain,
% 6.39/4.59 (~(v90(constB37, 1) | v90(constB37, 2) | (~v90(constB37, 0)))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7666, 7665, 7647, 7629])).
% 6.39/4.59 tff(7668,plain,
% 6.39/4.59 ((~(v120(constB37) <=> (~(v90(constB37, 1) | v90(constB37, 2) | (~v90(constB37, 0)))))) | v120(constB37) | (v90(constB37, 1) | v90(constB37, 2) | (~v90(constB37, 0)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7669,plain,
% 6.39/4.59 (v120(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7668, 7667, 3351])).
% 6.39/4.59 tff(7670,plain,
% 6.39/4.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB37)) | (~(v130(constB37, 2) | v130(constB37, 0) | (~v130(constB37, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB37)) | (~(v130(constB37, 2) | v130(constB37, 0) | (~v130(constB37, 1)))))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7671,plain,
% 6.39/4.59 (((~v120(constB37)) | (~(v130(constB37, 0) | v130(constB37, 2) | (~v130(constB37, 1))))) <=> ((~v120(constB37)) | (~(v130(constB37, 2) | v130(constB37, 0) | (~v130(constB37, 1)))))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7672,plain,
% 6.39/4.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB37)) | (~(v130(constB37, 0) | v130(constB37, 2) | (~v130(constB37, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB37)) | (~(v130(constB37, 2) | v130(constB37, 0) | (~v130(constB37, 1))))))),
% 6.39/4.59 inference(monotonicity,[status(thm)],[7671])).
% 6.39/4.59 tff(7673,plain,
% 6.39/4.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB37)) | (~(v130(constB37, 0) | v130(constB37, 2) | (~v130(constB37, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB37)) | (~(v130(constB37, 2) | v130(constB37, 0) | (~v130(constB37, 1)))))),
% 6.39/4.59 inference(transitivity,[status(thm)],[7672, 7670])).
% 6.39/4.59 tff(7674,plain,
% 6.39/4.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB37)) | (~(v130(constB37, 0) | v130(constB37, 2) | (~v130(constB37, 1)))))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7675,plain,
% 6.39/4.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB37)) | (~(v130(constB37, 2) | v130(constB37, 0) | (~v130(constB37, 1))))),
% 6.39/4.59 inference(modus_ponens,[status(thm)],[7674, 7673])).
% 6.39/4.59 tff(7676,plain,
% 6.39/4.59 ((~v120(constB37)) | (~(v130(constB37, 2) | v130(constB37, 0) | (~v130(constB37, 1))))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7675, 5246])).
% 6.39/4.59 tff(7677,plain,
% 6.39/4.59 (~(v130(constB37, 2) | v130(constB37, 0) | (~v130(constB37, 1)))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7676, 7669])).
% 6.39/4.59 tff(7678,plain,
% 6.39/4.59 ((v130(constB37, 2) | v130(constB37, 0) | (~v130(constB37, 1))) | (~v130(constB37, 2))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7679,plain,
% 6.39/4.59 (~v130(constB37, 2)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7678, 7677])).
% 6.39/4.59 tff(7680,plain,
% 6.39/4.59 (((~v127(constB37, 2)) <=> v130(constB37, 2)) | (~v127(constB37, 2)) | v130(constB37, 2)),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7681,plain,
% 6.39/4.59 (~v127(constB37, 2)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7680, 7679, 3349])).
% 6.39/4.59 tff(7682,plain,
% 6.39/4.59 (((~v129(constB38, 2)) <=> v127(constB37, 2)) | (~v129(constB38, 2)) | v127(constB37, 2)),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7683,plain,
% 6.39/4.59 (~v129(constB38, 2)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7682, 7681, 3335])).
% 6.39/4.59 tff(7684,plain,
% 6.39/4.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7685,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7686,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38)))))),
% 6.39/4.59 inference(modus_ponens,[status(thm)],[7685, 7684])).
% 6.39/4.59 tff(7687,plain,
% 6.39/4.59 (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7686, 3329, 273])).
% 6.39/4.59 tff(7688,plain,
% 6.39/4.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7689,plain,
% 6.39/4.59 (((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38)))))) <=> ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7690,plain,
% 6.39/4.59 (((~![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) <=> (~((~v1(constB38)) | (~v102(constB38)))))))),
% 6.39/4.59 inference(monotonicity,[status(thm)],[7689])).
% 6.39/4.59 tff(7691,plain,
% 6.39/4.59 (((~![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) <=> (~((~v1(constB38)) | (~v102(constB38))))))),
% 6.39/4.59 inference(transitivity,[status(thm)],[7690, 7688])).
% 6.39/4.59 tff(7692,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38))))))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7693,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38)))))),
% 6.39/4.59 inference(modus_ponens,[status(thm)],[7692, 7691])).
% 6.39/4.59 tff(7694,plain,
% 6.39/4.59 (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7693, 3329, 293])).
% 6.39/4.59 tff(7695,plain,
% 6.39/4.59 (((~![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)))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7696,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38)))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7697,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38))),
% 6.39/4.59 inference(modus_ponens,[status(thm)],[7696, 7695])).
% 6.39/4.59 tff(7698,plain,
% 6.39/4.59 ((~v102(constB38)) <=> v104(constB38)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7697, 3329, 4609])).
% 6.39/4.59 tff(7699,plain,
% 6.39/4.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37)))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7700,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37)))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7701,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37))),
% 6.39/4.59 inference(modus_ponens,[status(thm)],[7700, 7699])).
% 6.39/4.59 tff(7702,plain,
% 6.39/4.59 (v104(constB38) <=> v1(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7701, 3329, 4623])).
% 6.39/4.59 tff(7703,plain,
% 6.39/4.59 ((~(v104(constB38) <=> v1(constB37))) | (~v104(constB38)) | v1(constB37)),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7704,plain,
% 6.39/4.59 ((~(v104(constB38) <=> v1(constB37))) | (~v104(constB38))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7703, 3368])).
% 6.39/4.59 tff(7705,plain,
% 6.39/4.59 (~v104(constB38)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7704, 7702])).
% 6.39/4.59 tff(7706,plain,
% 6.39/4.59 ((~((~v102(constB38)) <=> v104(constB38))) | v102(constB38) | v104(constB38)),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7707,plain,
% 6.39/4.59 (v102(constB38)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7706, 7705, 7698])).
% 6.39/4.59 tff(7708,plain,
% 6.39/4.59 (v1(constB38) <=> v1(constB38)),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7709,axiom,(v1(constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_38')).
% 6.39/4.59 tff(7710,plain,
% 6.39/4.59 (v1(constB38)),
% 6.39/4.59 inference(modus_ponens,[status(thm)],[7709, 7708])).
% 6.39/4.59 tff(7711,plain,
% 6.39/4.59 ((~((~v1(constB38)) | (~v102(constB38)))) | (~v1(constB38)) | (~v102(constB38))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7712,plain,
% 6.39/4.59 ((~((~v1(constB38)) | (~v102(constB38)))) | (~v102(constB38))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7711, 7710])).
% 6.39/4.59 tff(7713,plain,
% 6.39/4.59 (~((~v1(constB38)) | (~v102(constB38)))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7712, 7707])).
% 6.39/4.59 tff(7714,plain,
% 6.39/4.59 ((~(v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38)))))) | v101(constB38) | ((~v1(constB38)) | (~v102(constB38)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7715,plain,
% 6.39/4.59 (v101(constB38)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7714, 7713, 7694])).
% 6.39/4.59 tff(7716,plain,
% 6.39/4.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37)))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7717,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37)))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7718,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37))),
% 6.39/4.59 inference(modus_ponens,[status(thm)],[7717, 7716])).
% 6.39/4.59 tff(7719,plain,
% 6.39/4.59 (v110(constB38) <=> v108(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7718, 3329, 4650])).
% 6.39/4.59 tff(7720,plain,
% 6.39/4.59 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB37) <=> (v111(constB37) | v112(constB37)))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7721,plain,
% 6.39/4.59 (v108(constB37) <=> (v111(constB37) | v112(constB37))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7720, 4661])).
% 6.39/4.59 tff(7722,plain,
% 6.39/4.59 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37)))))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7723,plain,
% 6.39/4.59 (v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37))))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7722, 4673])).
% 6.39/4.59 tff(7724,plain,
% 6.39/4.59 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB37) <=> (v114(constB37) | v125(constB37)))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7725,plain,
% 6.39/4.59 (v113(constB37) <=> (v114(constB37) | v125(constB37))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7724, 4682])).
% 6.39/4.59 tff(7726,plain,
% 6.39/4.59 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB37) <=> (v115(constB37) | v124(constB37)))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7727,plain,
% 6.39/4.59 (v114(constB37) <=> (v115(constB37) | v124(constB37))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7726, 4691])).
% 6.39/4.59 tff(7728,plain,
% 6.39/4.59 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB37) <=> (v116(constB37) | v123(constB37)))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7729,plain,
% 6.39/4.59 (v115(constB37) <=> (v116(constB37) | v123(constB37))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7728, 4700])).
% 6.39/4.59 tff(7730,plain,
% 6.39/4.59 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB37) <=> (v117(constB37) | v122(constB37)))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7731,plain,
% 6.39/4.59 (v116(constB37) <=> (v117(constB37) | v122(constB37))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7730, 4709])).
% 6.39/4.59 tff(7732,plain,
% 6.39/4.59 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB37) <=> (v118(constB37) | v121(constB37)))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7733,plain,
% 6.39/4.59 (v117(constB37) <=> (v118(constB37) | v121(constB37))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7732, 4718])).
% 6.39/4.59 tff(7734,plain,
% 6.39/4.59 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB37) <=> (v119(constB37) | v120(constB37)))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7735,plain,
% 6.39/4.59 (v118(constB37) <=> (v119(constB37) | v120(constB37))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7734, 4727])).
% 6.39/4.59 tff(7736,plain,
% 6.39/4.59 ((v119(constB37) | v120(constB37)) | (~v120(constB37))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7737,plain,
% 6.39/4.59 (v119(constB37) | v120(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7736, 7669])).
% 6.39/4.59 tff(7738,plain,
% 6.39/4.59 ((~(v118(constB37) <=> (v119(constB37) | v120(constB37)))) | v118(constB37) | (~(v119(constB37) | v120(constB37)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7739,plain,
% 6.39/4.59 (v118(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7738, 7737, 7735])).
% 6.39/4.59 tff(7740,plain,
% 6.39/4.59 ((v118(constB37) | v121(constB37)) | (~v118(constB37))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7741,plain,
% 6.39/4.59 (v118(constB37) | v121(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7740, 7739])).
% 6.39/4.59 tff(7742,plain,
% 6.39/4.59 ((~(v117(constB37) <=> (v118(constB37) | v121(constB37)))) | v117(constB37) | (~(v118(constB37) | v121(constB37)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7743,plain,
% 6.39/4.59 (v117(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7742, 7741, 7733])).
% 6.39/4.59 tff(7744,plain,
% 6.39/4.59 ((v117(constB37) | v122(constB37)) | (~v117(constB37))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7745,plain,
% 6.39/4.59 (v117(constB37) | v122(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7744, 7743])).
% 6.39/4.59 tff(7746,plain,
% 6.39/4.59 ((~(v116(constB37) <=> (v117(constB37) | v122(constB37)))) | v116(constB37) | (~(v117(constB37) | v122(constB37)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7747,plain,
% 6.39/4.59 (v116(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7746, 7745, 7731])).
% 6.39/4.59 tff(7748,plain,
% 6.39/4.59 ((v116(constB37) | v123(constB37)) | (~v116(constB37))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7749,plain,
% 6.39/4.59 (v116(constB37) | v123(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7748, 7747])).
% 6.39/4.59 tff(7750,plain,
% 6.39/4.59 ((~(v115(constB37) <=> (v116(constB37) | v123(constB37)))) | v115(constB37) | (~(v116(constB37) | v123(constB37)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7751,plain,
% 6.39/4.59 (v115(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7750, 7749, 7729])).
% 6.39/4.59 tff(7752,plain,
% 6.39/4.59 ((v115(constB37) | v124(constB37)) | (~v115(constB37))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7753,plain,
% 6.39/4.59 (v115(constB37) | v124(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7752, 7751])).
% 6.39/4.59 tff(7754,plain,
% 6.39/4.59 ((~(v114(constB37) <=> (v115(constB37) | v124(constB37)))) | v114(constB37) | (~(v115(constB37) | v124(constB37)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7755,plain,
% 6.39/4.59 (v114(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7754, 7753, 7727])).
% 6.39/4.59 tff(7756,plain,
% 6.39/4.59 ((v114(constB37) | v125(constB37)) | (~v114(constB37))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7757,plain,
% 6.39/4.59 (v114(constB37) | v125(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7756, 7755])).
% 6.39/4.59 tff(7758,plain,
% 6.39/4.59 ((~(v113(constB37) <=> (v114(constB37) | v125(constB37)))) | v113(constB37) | (~(v114(constB37) | v125(constB37)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7759,plain,
% 6.39/4.59 (v113(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7758, 7757, 7725])).
% 6.39/4.59 tff(7760,plain,
% 6.39/4.59 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB37)) <=> v111(constB37))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7761,plain,
% 6.39/4.59 ((~v126(constB37)) <=> v111(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7760, 4761])).
% 6.39/4.59 tff(7762,plain,
% 6.39/4.59 ((~((~v126(constB37)) <=> v111(constB37))) | v126(constB37) | v111(constB37)),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7763,plain,
% 6.39/4.59 ((~((~v126(constB37)) <=> v111(constB37))) | v126(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7762, 3342])).
% 6.39/4.59 tff(7764,plain,
% 6.39/4.59 (v126(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7763, 7761])).
% 6.39/4.59 tff(7765,plain,
% 6.39/4.59 ((~((~v113(constB37)) | (~v126(constB37)))) | (~v113(constB37)) | (~v126(constB37))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7766,plain,
% 6.39/4.59 ((~((~v113(constB37)) | (~v126(constB37)))) | (~v113(constB37))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7765, 7764])).
% 6.39/4.59 tff(7767,plain,
% 6.39/4.59 (~((~v113(constB37)) | (~v126(constB37)))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7766, 7759])).
% 6.39/4.59 tff(7768,plain,
% 6.39/4.59 ((~(v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37)))))) | v112(constB37) | ((~v113(constB37)) | (~v126(constB37)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7769,plain,
% 6.39/4.59 (v112(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7768, 7767, 7723])).
% 6.39/4.59 tff(7770,plain,
% 6.39/4.59 ((v111(constB37) | v112(constB37)) | (~v112(constB37))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7771,plain,
% 6.39/4.59 (v111(constB37) | v112(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7770, 7769])).
% 6.39/4.59 tff(7772,plain,
% 6.39/4.59 ((~(v108(constB37) <=> (v111(constB37) | v112(constB37)))) | v108(constB37) | (~(v111(constB37) | v112(constB37)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7773,plain,
% 6.39/4.59 (v108(constB37)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7772, 7771, 7721])).
% 6.39/4.59 tff(7774,plain,
% 6.39/4.59 ((~(v110(constB38) <=> v108(constB37))) | v110(constB38) | (~v108(constB37))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7775,plain,
% 6.39/4.59 (v110(constB38)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7774, 7773, 7719])).
% 6.39/4.59 tff(7776,plain,
% 6.39/4.59 ((~((~v101(constB38)) | (~v110(constB38)))) | (~v101(constB38)) | (~v110(constB38))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7777,plain,
% 6.39/4.59 (~((~v101(constB38)) | (~v110(constB38)))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7776, 7775, 7715])).
% 6.39/4.59 tff(7778,plain,
% 6.39/4.59 ((~(v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38)))))) | v100(constB38) | ((~v101(constB38)) | (~v110(constB38)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7779,plain,
% 6.39/4.59 (v100(constB38)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7778, 7777, 7687])).
% 6.39/4.59 tff(7780,plain,
% 6.39/4.59 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB38)) | (~(((~v90(constB38, 0)) <=> v129(constB38, 0)) | ((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB38)) | (~(((~v90(constB38, 0)) <=> v129(constB38, 0)) | ((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1)))))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7781,plain,
% 6.39/4.59 (((~v100(constB38)) | (~(((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1)) | ((~v90(constB38, 0)) <=> v129(constB38, 0))))) <=> ((~v100(constB38)) | (~(((~v90(constB38, 0)) <=> v129(constB38, 0)) | ((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1)))))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7782,plain,
% 6.39/4.59 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB38)) | (~(((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1)) | ((~v90(constB38, 0)) <=> v129(constB38, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB38)) | (~(((~v90(constB38, 0)) <=> v129(constB38, 0)) | ((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1))))))),
% 6.39/4.59 inference(monotonicity,[status(thm)],[7781])).
% 6.39/4.59 tff(7783,plain,
% 6.39/4.59 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB38)) | (~(((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1)) | ((~v90(constB38, 0)) <=> v129(constB38, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB38)) | (~(((~v90(constB38, 0)) <=> v129(constB38, 0)) | ((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1)))))),
% 6.39/4.59 inference(transitivity,[status(thm)],[7782, 7780])).
% 6.39/4.59 tff(7784,plain,
% 6.39/4.59 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB38)) | (~(((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1)) | ((~v90(constB38, 0)) <=> v129(constB38, 0)))))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7785,plain,
% 6.39/4.59 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB38)) | (~(((~v90(constB38, 0)) <=> v129(constB38, 0)) | ((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1))))),
% 6.39/4.59 inference(modus_ponens,[status(thm)],[7784, 7783])).
% 6.39/4.59 tff(7786,plain,
% 6.39/4.59 ((~v100(constB38)) | (~(((~v90(constB38, 0)) <=> v129(constB38, 0)) | ((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1))))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7785, 4794])).
% 6.39/4.59 tff(7787,plain,
% 6.39/4.59 (~(((~v90(constB38, 0)) <=> v129(constB38, 0)) | ((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1)))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7786, 7779])).
% 6.39/4.59 tff(7788,plain,
% 6.39/4.59 ((((~v90(constB38, 0)) <=> v129(constB38, 0)) | ((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1))) | (~((~v90(constB38, 2)) <=> v129(constB38, 2)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7789,plain,
% 6.39/4.59 (~((~v90(constB38, 2)) <=> v129(constB38, 2))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7788, 7787])).
% 6.39/4.59 tff(7790,plain,
% 6.39/4.59 (((~v90(constB38, 2)) <=> v129(constB38, 2)) | (~v90(constB38, 2)) | v129(constB38, 2)),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7791,plain,
% 6.39/4.59 (~v90(constB38, 2)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7790, 7789, 7683])).
% 6.39/4.59 tff(7792,plain,
% 6.39/4.59 (((~v90(constB39, 2)) <=> v90(constB38, 2)) | (~v90(constB39, 2)) | v90(constB38, 2)),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7793,plain,
% 6.39/4.59 (~v90(constB39, 2)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7792, 7791, 3326])).
% 6.39/4.59 tff(7794,plain,
% 6.39/4.59 ((((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0))) | (~((~v90(constB39, 0)) <=> v90(constB38, 0)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7795,plain,
% 6.39/4.59 (~((~v90(constB39, 0)) <=> v90(constB38, 0))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7794, 3324])).
% 6.39/4.59 tff(7796,plain,
% 6.39/4.59 ((((~v129(constB38, 2)) <=> v127(constB37, 2)) | ((~v129(constB38, 1)) <=> v127(constB37, 1)) | ((~v129(constB38, 0)) <=> v127(constB37, 0))) | (~((~v129(constB38, 0)) <=> v127(constB37, 0)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7797,plain,
% 6.39/4.59 (~((~v129(constB38, 0)) <=> v127(constB37, 0))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7796, 3333])).
% 6.39/4.59 tff(7798,plain,
% 6.39/4.59 ((((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0))) | (~((~v127(constB37, 0)) <=> v130(constB37, 0)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7799,plain,
% 6.39/4.59 (~((~v127(constB37, 0)) <=> v130(constB37, 0))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7798, 3347])).
% 6.39/4.59 tff(7800,plain,
% 6.39/4.59 ((v130(constB37, 2) | v130(constB37, 0) | (~v130(constB37, 1))) | (~v130(constB37, 0))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7801,plain,
% 6.39/4.59 (~v130(constB37, 0)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7800, 7677])).
% 6.39/4.59 tff(7802,plain,
% 6.39/4.59 (((~v127(constB37, 0)) <=> v130(constB37, 0)) | (~v127(constB37, 0)) | v130(constB37, 0)),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7803,plain,
% 6.39/4.59 (~v127(constB37, 0)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7802, 7801, 7799])).
% 6.39/4.59 tff(7804,plain,
% 6.39/4.59 (((~v129(constB38, 0)) <=> v127(constB37, 0)) | (~v129(constB38, 0)) | v127(constB37, 0)),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7805,plain,
% 6.39/4.59 (~v129(constB38, 0)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7804, 7803, 7797])).
% 6.39/4.59 tff(7806,plain,
% 6.39/4.59 ((((~v90(constB38, 0)) <=> v129(constB38, 0)) | ((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1))) | (~((~v90(constB38, 0)) <=> v129(constB38, 0)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7807,plain,
% 6.39/4.59 (~((~v90(constB38, 0)) <=> v129(constB38, 0))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7806, 7787])).
% 6.39/4.59 tff(7808,plain,
% 6.39/4.59 (((~v90(constB38, 0)) <=> v129(constB38, 0)) | (~v90(constB38, 0)) | v129(constB38, 0)),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7809,plain,
% 6.39/4.59 (~v90(constB38, 0)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7808, 7807, 7805])).
% 6.39/4.59 tff(7810,plain,
% 6.39/4.59 (((~v90(constB39, 0)) <=> v90(constB38, 0)) | (~v90(constB39, 0)) | v90(constB38, 0)),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7811,plain,
% 6.39/4.59 (~v90(constB39, 0)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7810, 7809, 7795])).
% 6.39/4.59 tff(7812,plain,
% 6.39/4.59 ((((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0))) | (~((~v90(constB39, 1)) <=> v90(constB38, 1)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7813,plain,
% 6.39/4.59 (~((~v90(constB39, 1)) <=> v90(constB38, 1))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7812, 3324])).
% 6.39/4.59 tff(7814,plain,
% 6.39/4.59 ((((~v129(constB38, 2)) <=> v127(constB37, 2)) | ((~v129(constB38, 1)) <=> v127(constB37, 1)) | ((~v129(constB38, 0)) <=> v127(constB37, 0))) | (~((~v129(constB38, 1)) <=> v127(constB37, 1)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7815,plain,
% 6.39/4.59 (~((~v129(constB38, 1)) <=> v127(constB37, 1))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7814, 3333])).
% 6.39/4.59 tff(7816,plain,
% 6.39/4.59 ((((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0))) | (~((~v127(constB37, 1)) <=> v130(constB37, 1)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7817,plain,
% 6.39/4.59 (~((~v127(constB37, 1)) <=> v130(constB37, 1))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7816, 3347])).
% 6.39/4.59 tff(7818,plain,
% 6.39/4.59 ((v130(constB37, 2) | v130(constB37, 0) | (~v130(constB37, 1))) | v130(constB37, 1)),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7819,plain,
% 6.39/4.59 (v130(constB37, 1)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7818, 7677])).
% 6.39/4.59 tff(7820,plain,
% 6.39/4.59 (((~v127(constB37, 1)) <=> v130(constB37, 1)) | v127(constB37, 1) | (~v130(constB37, 1))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7821,plain,
% 6.39/4.59 (v127(constB37, 1)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7820, 7819, 7817])).
% 6.39/4.59 tff(7822,plain,
% 6.39/4.59 (((~v129(constB38, 1)) <=> v127(constB37, 1)) | v129(constB38, 1) | (~v127(constB37, 1))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7823,plain,
% 6.39/4.59 (v129(constB38, 1)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7822, 7821, 7815])).
% 6.39/4.59 tff(7824,plain,
% 6.39/4.59 ((((~v90(constB38, 0)) <=> v129(constB38, 0)) | ((~v90(constB38, 2)) <=> v129(constB38, 2)) | ((~v90(constB38, 1)) <=> v129(constB38, 1))) | (~((~v90(constB38, 1)) <=> v129(constB38, 1)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7825,plain,
% 6.39/4.59 (~((~v90(constB38, 1)) <=> v129(constB38, 1))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7824, 7787])).
% 6.39/4.59 tff(7826,plain,
% 6.39/4.59 (((~v90(constB38, 1)) <=> v129(constB38, 1)) | v90(constB38, 1) | (~v129(constB38, 1))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7827,plain,
% 6.39/4.59 (v90(constB38, 1)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7826, 7825, 7823])).
% 6.39/4.59 tff(7828,plain,
% 6.39/4.59 (((~v90(constB39, 1)) <=> v90(constB38, 1)) | v90(constB39, 1) | (~v90(constB38, 1))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7829,plain,
% 6.39/4.59 (v90(constB39, 1)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7828, 7827, 7813])).
% 6.39/4.59 tff(7830,plain,
% 6.39/4.59 ((~(v90(constB39, 2) | v90(constB39, 0) | (~v90(constB39, 1)))) | v90(constB39, 2) | v90(constB39, 0) | (~v90(constB39, 1))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7831,plain,
% 6.39/4.59 (~(v90(constB39, 2) | v90(constB39, 0) | (~v90(constB39, 1)))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7830, 7829, 7811, 7793])).
% 6.39/4.59 tff(7832,plain,
% 6.39/4.59 ((~(v121(constB39) <=> (~(v90(constB39, 2) | v90(constB39, 0) | (~v90(constB39, 1)))))) | v121(constB39) | (v90(constB39, 2) | v90(constB39, 0) | (~v90(constB39, 1)))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7833,plain,
% 6.39/4.59 (v121(constB39)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7832, 7831, 3290])).
% 6.39/4.59 tff(7834,plain,
% 6.39/4.59 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB39)) | (~(v130(constB39, 2) | (~v130(constB39, 1)) | (~v130(constB39, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB39)) | (~(v130(constB39, 2) | (~v130(constB39, 1)) | (~v130(constB39, 0)))))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7835,plain,
% 6.39/4.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB39)) | (~(v130(constB39, 2) | (~v130(constB39, 1)) | (~v130(constB39, 0)))))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7836,plain,
% 6.39/4.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB39)) | (~(v130(constB39, 2) | (~v130(constB39, 1)) | (~v130(constB39, 0))))),
% 6.39/4.59 inference(modus_ponens,[status(thm)],[7835, 7834])).
% 6.39/4.59 tff(7837,plain,
% 6.39/4.59 ((~v121(constB39)) | (~(v130(constB39, 2) | (~v130(constB39, 1)) | (~v130(constB39, 0))))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7836, 5420])).
% 6.39/4.59 tff(7838,plain,
% 6.39/4.59 (~(v130(constB39, 2) | (~v130(constB39, 1)) | (~v130(constB39, 0)))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7837, 7833])).
% 6.39/4.59 tff(7839,plain,
% 6.39/4.59 ((v130(constB39, 2) | (~v130(constB39, 1)) | (~v130(constB39, 0))) | (~v130(constB39, 2))),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7840,plain,
% 6.39/4.59 (~v130(constB39, 2)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7839, 7838])).
% 6.39/4.59 tff(7841,plain,
% 6.39/4.59 (((~v127(constB39, 2)) <=> v130(constB39, 2)) | (~v127(constB39, 2)) | v130(constB39, 2)),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7842,plain,
% 6.39/4.59 (~v127(constB39, 2)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7841, 7840, 3283])).
% 6.39/4.59 tff(7843,plain,
% 6.39/4.59 (((~v129(constB40, 2)) <=> v127(constB39, 2)) | (~v129(constB40, 2)) | v127(constB39, 2)),
% 6.39/4.59 inference(tautology,[status(thm)],[])).
% 6.39/4.59 tff(7844,plain,
% 6.39/4.59 (~v129(constB40, 2)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7843, 7842, 3269])).
% 6.39/4.59 tff(7845,plain,
% 6.39/4.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7846,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7847,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40)))))),
% 6.39/4.59 inference(modus_ponens,[status(thm)],[7846, 7845])).
% 6.39/4.59 tff(7848,plain,
% 6.39/4.59 (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7847, 3263, 273])).
% 6.39/4.59 tff(7849,plain,
% 6.39/4.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7850,plain,
% 6.39/4.59 (((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40)))))) <=> ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7851,plain,
% 6.39/4.59 (((~![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) <=> (~((~v1(constB40)) | (~v102(constB40)))))))),
% 6.39/4.59 inference(monotonicity,[status(thm)],[7850])).
% 6.39/4.59 tff(7852,plain,
% 6.39/4.59 (((~![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) <=> (~((~v1(constB40)) | (~v102(constB40))))))),
% 6.39/4.59 inference(transitivity,[status(thm)],[7851, 7849])).
% 6.39/4.59 tff(7853,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40))))))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7854,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40)))))),
% 6.39/4.59 inference(modus_ponens,[status(thm)],[7853, 7852])).
% 6.39/4.59 tff(7855,plain,
% 6.39/4.59 (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7854, 3263, 293])).
% 6.39/4.59 tff(7856,plain,
% 6.39/4.59 (((~![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)))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7857,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40)))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.59 tff(7858,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40))),
% 6.39/4.59 inference(modus_ponens,[status(thm)],[7857, 7856])).
% 6.39/4.59 tff(7859,plain,
% 6.39/4.59 ((~v102(constB40)) <=> v104(constB40)),
% 6.39/4.59 inference(unit_resolution,[status(thm)],[7858, 3263, 4609])).
% 6.39/4.59 tff(7860,plain,
% 6.39/4.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39)))),
% 6.39/4.59 inference(rewrite,[status(thm)],[])).
% 6.39/4.59 tff(7861,plain,
% 6.39/4.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39)))),
% 6.39/4.59 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(7862,plain,
% 6.39/4.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39))),
% 6.39/4.60 inference(modus_ponens,[status(thm)],[7861, 7860])).
% 6.39/4.60 tff(7863,plain,
% 6.39/4.60 (v104(constB40) <=> v1(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7862, 3263, 4623])).
% 6.39/4.60 tff(7864,plain,
% 6.39/4.60 ((~(v104(constB40) <=> v1(constB39))) | (~v104(constB40)) | v1(constB39)),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7865,plain,
% 6.39/4.60 ((~(v104(constB40) <=> v1(constB39))) | (~v104(constB40))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7864, 3307])).
% 6.39/4.60 tff(7866,plain,
% 6.39/4.60 (~v104(constB40)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7865, 7863])).
% 6.39/4.60 tff(7867,plain,
% 6.39/4.60 ((~((~v102(constB40)) <=> v104(constB40))) | v102(constB40) | v104(constB40)),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7868,plain,
% 6.39/4.60 (v102(constB40)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7867, 7866, 7859])).
% 6.39/4.60 tff(7869,plain,
% 6.39/4.60 (v1(constB40) <=> v1(constB40)),
% 6.39/4.60 inference(rewrite,[status(thm)],[])).
% 6.39/4.60 tff(7870,axiom,(v1(constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_40')).
% 6.39/4.60 tff(7871,plain,
% 6.39/4.60 (v1(constB40)),
% 6.39/4.60 inference(modus_ponens,[status(thm)],[7870, 7869])).
% 6.39/4.60 tff(7872,plain,
% 6.39/4.60 ((~((~v1(constB40)) | (~v102(constB40)))) | (~v1(constB40)) | (~v102(constB40))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7873,plain,
% 6.39/4.60 ((~((~v1(constB40)) | (~v102(constB40)))) | (~v102(constB40))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7872, 7871])).
% 6.39/4.60 tff(7874,plain,
% 6.39/4.60 (~((~v1(constB40)) | (~v102(constB40)))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7873, 7868])).
% 6.39/4.60 tff(7875,plain,
% 6.39/4.60 ((~(v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40)))))) | v101(constB40) | ((~v1(constB40)) | (~v102(constB40)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7876,plain,
% 6.39/4.60 (v101(constB40)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7875, 7874, 7855])).
% 6.39/4.60 tff(7877,plain,
% 6.39/4.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39)))),
% 6.39/4.60 inference(rewrite,[status(thm)],[])).
% 6.39/4.60 tff(7878,plain,
% 6.39/4.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(7879,plain,
% 6.39/4.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39))),
% 6.39/4.60 inference(modus_ponens,[status(thm)],[7878, 7877])).
% 6.39/4.60 tff(7880,plain,
% 6.39/4.60 (v110(constB40) <=> v108(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7879, 3263, 4650])).
% 6.39/4.60 tff(7881,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB39) <=> (v111(constB39) | v112(constB39)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(7882,plain,
% 6.39/4.60 (v108(constB39) <=> (v111(constB39) | v112(constB39))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7881, 4661])).
% 6.39/4.60 tff(7883,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39)))))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(7884,plain,
% 6.39/4.60 (v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39))))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7883, 4673])).
% 6.39/4.60 tff(7885,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB39) <=> (v114(constB39) | v125(constB39)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(7886,plain,
% 6.39/4.60 (v113(constB39) <=> (v114(constB39) | v125(constB39))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7885, 4682])).
% 6.39/4.60 tff(7887,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB39) <=> (v115(constB39) | v124(constB39)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(7888,plain,
% 6.39/4.60 (v114(constB39) <=> (v115(constB39) | v124(constB39))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7887, 4691])).
% 6.39/4.60 tff(7889,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB39) <=> (v116(constB39) | v123(constB39)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(7890,plain,
% 6.39/4.60 (v115(constB39) <=> (v116(constB39) | v123(constB39))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7889, 4700])).
% 6.39/4.60 tff(7891,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB39) <=> (v117(constB39) | v122(constB39)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(7892,plain,
% 6.39/4.60 (v116(constB39) <=> (v117(constB39) | v122(constB39))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7891, 4709])).
% 6.39/4.60 tff(7893,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB39) <=> (v118(constB39) | v121(constB39)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(7894,plain,
% 6.39/4.60 (v117(constB39) <=> (v118(constB39) | v121(constB39))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7893, 4718])).
% 6.39/4.60 tff(7895,plain,
% 6.39/4.60 ((v118(constB39) | v121(constB39)) | (~v121(constB39))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7896,plain,
% 6.39/4.60 (v118(constB39) | v121(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7895, 7833])).
% 6.39/4.60 tff(7897,plain,
% 6.39/4.60 ((~(v117(constB39) <=> (v118(constB39) | v121(constB39)))) | v117(constB39) | (~(v118(constB39) | v121(constB39)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7898,plain,
% 6.39/4.60 (v117(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7897, 7896, 7894])).
% 6.39/4.60 tff(7899,plain,
% 6.39/4.60 ((v117(constB39) | v122(constB39)) | (~v117(constB39))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7900,plain,
% 6.39/4.60 (v117(constB39) | v122(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7899, 7898])).
% 6.39/4.60 tff(7901,plain,
% 6.39/4.60 ((~(v116(constB39) <=> (v117(constB39) | v122(constB39)))) | v116(constB39) | (~(v117(constB39) | v122(constB39)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7902,plain,
% 6.39/4.60 (v116(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7901, 7900, 7892])).
% 6.39/4.60 tff(7903,plain,
% 6.39/4.60 ((v116(constB39) | v123(constB39)) | (~v116(constB39))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7904,plain,
% 6.39/4.60 (v116(constB39) | v123(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7903, 7902])).
% 6.39/4.60 tff(7905,plain,
% 6.39/4.60 ((~(v115(constB39) <=> (v116(constB39) | v123(constB39)))) | v115(constB39) | (~(v116(constB39) | v123(constB39)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7906,plain,
% 6.39/4.60 (v115(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7905, 7904, 7890])).
% 6.39/4.60 tff(7907,plain,
% 6.39/4.60 ((v115(constB39) | v124(constB39)) | (~v115(constB39))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7908,plain,
% 6.39/4.60 (v115(constB39) | v124(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7907, 7906])).
% 6.39/4.60 tff(7909,plain,
% 6.39/4.60 ((~(v114(constB39) <=> (v115(constB39) | v124(constB39)))) | v114(constB39) | (~(v115(constB39) | v124(constB39)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7910,plain,
% 6.39/4.60 (v114(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7909, 7908, 7888])).
% 6.39/4.60 tff(7911,plain,
% 6.39/4.60 ((v114(constB39) | v125(constB39)) | (~v114(constB39))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7912,plain,
% 6.39/4.60 (v114(constB39) | v125(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7911, 7910])).
% 6.39/4.60 tff(7913,plain,
% 6.39/4.60 ((~(v113(constB39) <=> (v114(constB39) | v125(constB39)))) | v113(constB39) | (~(v114(constB39) | v125(constB39)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7914,plain,
% 6.39/4.60 (v113(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7913, 7912, 7886])).
% 6.39/4.60 tff(7915,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB39)) <=> v111(constB39))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(7916,plain,
% 6.39/4.60 ((~v126(constB39)) <=> v111(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7915, 4761])).
% 6.39/4.60 tff(7917,plain,
% 6.39/4.60 ((~((~v126(constB39)) <=> v111(constB39))) | v126(constB39) | v111(constB39)),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7918,plain,
% 6.39/4.60 ((~((~v126(constB39)) <=> v111(constB39))) | v126(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7917, 3276])).
% 6.39/4.60 tff(7919,plain,
% 6.39/4.60 (v126(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7918, 7916])).
% 6.39/4.60 tff(7920,plain,
% 6.39/4.60 ((~((~v113(constB39)) | (~v126(constB39)))) | (~v113(constB39)) | (~v126(constB39))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7921,plain,
% 6.39/4.60 ((~((~v113(constB39)) | (~v126(constB39)))) | (~v113(constB39))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7920, 7919])).
% 6.39/4.60 tff(7922,plain,
% 6.39/4.60 (~((~v113(constB39)) | (~v126(constB39)))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7921, 7914])).
% 6.39/4.60 tff(7923,plain,
% 6.39/4.60 ((~(v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39)))))) | v112(constB39) | ((~v113(constB39)) | (~v126(constB39)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7924,plain,
% 6.39/4.60 (v112(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7923, 7922, 7884])).
% 6.39/4.60 tff(7925,plain,
% 6.39/4.60 ((v111(constB39) | v112(constB39)) | (~v112(constB39))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7926,plain,
% 6.39/4.60 (v111(constB39) | v112(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7925, 7924])).
% 6.39/4.60 tff(7927,plain,
% 6.39/4.60 ((~(v108(constB39) <=> (v111(constB39) | v112(constB39)))) | v108(constB39) | (~(v111(constB39) | v112(constB39)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7928,plain,
% 6.39/4.60 (v108(constB39)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7927, 7926, 7882])).
% 6.39/4.60 tff(7929,plain,
% 6.39/4.60 ((~(v110(constB40) <=> v108(constB39))) | v110(constB40) | (~v108(constB39))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7930,plain,
% 6.39/4.60 (v110(constB40)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7929, 7928, 7880])).
% 6.39/4.60 tff(7931,plain,
% 6.39/4.60 ((~((~v101(constB40)) | (~v110(constB40)))) | (~v101(constB40)) | (~v110(constB40))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7932,plain,
% 6.39/4.60 (~((~v101(constB40)) | (~v110(constB40)))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7931, 7930, 7876])).
% 6.39/4.60 tff(7933,plain,
% 6.39/4.60 ((~(v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40)))))) | v100(constB40) | ((~v101(constB40)) | (~v110(constB40)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7934,plain,
% 6.39/4.60 (v100(constB40)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7933, 7932, 7848])).
% 6.39/4.60 tff(7935,plain,
% 6.39/4.60 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB40)) | (~(((~v90(constB40, 2)) <=> v129(constB40, 2)) | ((~v90(constB40, 1)) <=> v129(constB40, 1)) | ((~v90(constB40, 0)) <=> v129(constB40, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB40)) | (~(((~v90(constB40, 2)) <=> v129(constB40, 2)) | ((~v90(constB40, 1)) <=> v129(constB40, 1)) | ((~v90(constB40, 0)) <=> v129(constB40, 0)))))),
% 6.39/4.60 inference(rewrite,[status(thm)],[])).
% 6.39/4.60 tff(7936,plain,
% 6.39/4.60 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB40)) | (~(((~v90(constB40, 2)) <=> v129(constB40, 2)) | ((~v90(constB40, 1)) <=> v129(constB40, 1)) | ((~v90(constB40, 0)) <=> v129(constB40, 0)))))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(7937,plain,
% 6.39/4.60 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB40)) | (~(((~v90(constB40, 2)) <=> v129(constB40, 2)) | ((~v90(constB40, 1)) <=> v129(constB40, 1)) | ((~v90(constB40, 0)) <=> v129(constB40, 0))))),
% 6.39/4.60 inference(modus_ponens,[status(thm)],[7936, 7935])).
% 6.39/4.60 tff(7938,plain,
% 6.39/4.60 ((~v100(constB40)) | (~(((~v90(constB40, 2)) <=> v129(constB40, 2)) | ((~v90(constB40, 1)) <=> v129(constB40, 1)) | ((~v90(constB40, 0)) <=> v129(constB40, 0))))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7937, 4794])).
% 6.39/4.60 tff(7939,plain,
% 6.39/4.60 (~(((~v90(constB40, 2)) <=> v129(constB40, 2)) | ((~v90(constB40, 1)) <=> v129(constB40, 1)) | ((~v90(constB40, 0)) <=> v129(constB40, 0)))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7938, 7934])).
% 6.39/4.60 tff(7940,plain,
% 6.39/4.60 ((((~v90(constB40, 2)) <=> v129(constB40, 2)) | ((~v90(constB40, 1)) <=> v129(constB40, 1)) | ((~v90(constB40, 0)) <=> v129(constB40, 0))) | (~((~v90(constB40, 2)) <=> v129(constB40, 2)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7941,plain,
% 6.39/4.60 (~((~v90(constB40, 2)) <=> v129(constB40, 2))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7940, 7939])).
% 6.39/4.60 tff(7942,plain,
% 6.39/4.60 (((~v90(constB40, 2)) <=> v129(constB40, 2)) | (~v90(constB40, 2)) | v129(constB40, 2)),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7943,plain,
% 6.39/4.60 (~v90(constB40, 2)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7942, 7941, 7844])).
% 6.39/4.60 tff(7944,plain,
% 6.39/4.60 (((~v90(constB41, 2)) <=> v90(constB40, 2)) | (~v90(constB41, 2)) | v90(constB40, 2)),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7945,plain,
% 6.39/4.60 (~v90(constB41, 2)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7944, 7943, 3260])).
% 6.39/4.60 tff(7946,plain,
% 6.39/4.60 ((((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0))) | (~((~v90(constB41, 0)) <=> v90(constB40, 0)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7947,plain,
% 6.39/4.60 (~((~v90(constB41, 0)) <=> v90(constB40, 0))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7946, 3258])).
% 6.39/4.60 tff(7948,plain,
% 6.39/4.60 ((((~v129(constB40, 2)) <=> v127(constB39, 2)) | ((~v129(constB40, 1)) <=> v127(constB39, 1)) | ((~v129(constB40, 0)) <=> v127(constB39, 0))) | (~((~v129(constB40, 0)) <=> v127(constB39, 0)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7949,plain,
% 6.39/4.60 (~((~v129(constB40, 0)) <=> v127(constB39, 0))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7948, 3267])).
% 6.39/4.60 tff(7950,plain,
% 6.39/4.60 ((((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0))) | (~((~v127(constB39, 0)) <=> v130(constB39, 0)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7951,plain,
% 6.39/4.60 (~((~v127(constB39, 0)) <=> v130(constB39, 0))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7950, 3281])).
% 6.39/4.60 tff(7952,plain,
% 6.39/4.60 ((v130(constB39, 2) | (~v130(constB39, 1)) | (~v130(constB39, 0))) | v130(constB39, 0)),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7953,plain,
% 6.39/4.60 (v130(constB39, 0)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7952, 7838])).
% 6.39/4.60 tff(7954,plain,
% 6.39/4.60 (((~v127(constB39, 0)) <=> v130(constB39, 0)) | v127(constB39, 0) | (~v130(constB39, 0))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7955,plain,
% 6.39/4.60 (v127(constB39, 0)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7954, 7953, 7951])).
% 6.39/4.60 tff(7956,plain,
% 6.39/4.60 (((~v129(constB40, 0)) <=> v127(constB39, 0)) | v129(constB40, 0) | (~v127(constB39, 0))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7957,plain,
% 6.39/4.60 (v129(constB40, 0)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7956, 7955, 7949])).
% 6.39/4.60 tff(7958,plain,
% 6.39/4.60 ((((~v90(constB40, 2)) <=> v129(constB40, 2)) | ((~v90(constB40, 1)) <=> v129(constB40, 1)) | ((~v90(constB40, 0)) <=> v129(constB40, 0))) | (~((~v90(constB40, 0)) <=> v129(constB40, 0)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7959,plain,
% 6.39/4.60 (~((~v90(constB40, 0)) <=> v129(constB40, 0))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7958, 7939])).
% 6.39/4.60 tff(7960,plain,
% 6.39/4.60 (((~v90(constB40, 0)) <=> v129(constB40, 0)) | v90(constB40, 0) | (~v129(constB40, 0))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7961,plain,
% 6.39/4.60 (v90(constB40, 0)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7960, 7959, 7957])).
% 6.39/4.60 tff(7962,plain,
% 6.39/4.60 (((~v90(constB41, 0)) <=> v90(constB40, 0)) | v90(constB41, 0) | (~v90(constB40, 0))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7963,plain,
% 6.39/4.60 (v90(constB41, 0)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7962, 7961, 7947])).
% 6.39/4.60 tff(7964,plain,
% 6.39/4.60 ((((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0))) | (~((~v90(constB41, 1)) <=> v90(constB40, 1)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7965,plain,
% 6.39/4.60 (~((~v90(constB41, 1)) <=> v90(constB40, 1))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7964, 3258])).
% 6.39/4.60 tff(7966,plain,
% 6.39/4.60 ((((~v129(constB40, 2)) <=> v127(constB39, 2)) | ((~v129(constB40, 1)) <=> v127(constB39, 1)) | ((~v129(constB40, 0)) <=> v127(constB39, 0))) | (~((~v129(constB40, 1)) <=> v127(constB39, 1)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7967,plain,
% 6.39/4.60 (~((~v129(constB40, 1)) <=> v127(constB39, 1))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7966, 3267])).
% 6.39/4.60 tff(7968,plain,
% 6.39/4.60 ((((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0))) | (~((~v127(constB39, 1)) <=> v130(constB39, 1)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7969,plain,
% 6.39/4.60 (~((~v127(constB39, 1)) <=> v130(constB39, 1))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7968, 3281])).
% 6.39/4.60 tff(7970,plain,
% 6.39/4.60 ((v130(constB39, 2) | (~v130(constB39, 1)) | (~v130(constB39, 0))) | v130(constB39, 1)),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7971,plain,
% 6.39/4.60 (v130(constB39, 1)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7970, 7838])).
% 6.39/4.60 tff(7972,plain,
% 6.39/4.60 (((~v127(constB39, 1)) <=> v130(constB39, 1)) | v127(constB39, 1) | (~v130(constB39, 1))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7973,plain,
% 6.39/4.60 (v127(constB39, 1)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7972, 7971, 7969])).
% 6.39/4.60 tff(7974,plain,
% 6.39/4.60 (((~v129(constB40, 1)) <=> v127(constB39, 1)) | v129(constB40, 1) | (~v127(constB39, 1))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7975,plain,
% 6.39/4.60 (v129(constB40, 1)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7974, 7973, 7967])).
% 6.39/4.60 tff(7976,plain,
% 6.39/4.60 ((((~v90(constB40, 2)) <=> v129(constB40, 2)) | ((~v90(constB40, 1)) <=> v129(constB40, 1)) | ((~v90(constB40, 0)) <=> v129(constB40, 0))) | (~((~v90(constB40, 1)) <=> v129(constB40, 1)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7977,plain,
% 6.39/4.60 (~((~v90(constB40, 1)) <=> v129(constB40, 1))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7976, 7939])).
% 6.39/4.60 tff(7978,plain,
% 6.39/4.60 (((~v90(constB40, 1)) <=> v129(constB40, 1)) | v90(constB40, 1) | (~v129(constB40, 1))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7979,plain,
% 6.39/4.60 (v90(constB40, 1)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7978, 7977, 7975])).
% 6.39/4.60 tff(7980,plain,
% 6.39/4.60 (((~v90(constB41, 1)) <=> v90(constB40, 1)) | v90(constB41, 1) | (~v90(constB40, 1))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7981,plain,
% 6.39/4.60 (v90(constB41, 1)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7980, 7979, 7965])).
% 6.39/4.60 tff(7982,plain,
% 6.39/4.60 ((~(v90(constB41, 2) | (~v90(constB41, 1)) | (~v90(constB41, 0)))) | v90(constB41, 2) | (~v90(constB41, 1)) | (~v90(constB41, 0))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7983,plain,
% 6.39/4.60 (~(v90(constB41, 2) | (~v90(constB41, 1)) | (~v90(constB41, 0)))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7982, 7981, 7963, 7945])).
% 6.39/4.60 tff(7984,plain,
% 6.39/4.60 ((~(v122(constB41) <=> (~(v90(constB41, 2) | (~v90(constB41, 1)) | (~v90(constB41, 0)))))) | v122(constB41) | (v90(constB41, 2) | (~v90(constB41, 1)) | (~v90(constB41, 0)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7985,plain,
% 6.39/4.60 (v122(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7984, 7983, 3224])).
% 6.39/4.60 tff(7986,plain,
% 6.39/4.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB41)) | (~(v130(constB41, 1) | v130(constB41, 0) | (~v130(constB41, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB41)) | (~(v130(constB41, 1) | v130(constB41, 0) | (~v130(constB41, 2)))))),
% 6.39/4.60 inference(rewrite,[status(thm)],[])).
% 6.39/4.60 tff(7987,plain,
% 6.39/4.60 (((~v122(constB41)) | (~(v130(constB41, 0) | v130(constB41, 1) | (~v130(constB41, 2))))) <=> ((~v122(constB41)) | (~(v130(constB41, 1) | v130(constB41, 0) | (~v130(constB41, 2)))))),
% 6.39/4.60 inference(rewrite,[status(thm)],[])).
% 6.39/4.60 tff(7988,plain,
% 6.39/4.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB41)) | (~(v130(constB41, 0) | v130(constB41, 1) | (~v130(constB41, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB41)) | (~(v130(constB41, 1) | v130(constB41, 0) | (~v130(constB41, 2))))))),
% 6.39/4.60 inference(monotonicity,[status(thm)],[7987])).
% 6.39/4.60 tff(7989,plain,
% 6.39/4.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB41)) | (~(v130(constB41, 0) | v130(constB41, 1) | (~v130(constB41, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB41)) | (~(v130(constB41, 1) | v130(constB41, 0) | (~v130(constB41, 2)))))),
% 6.39/4.60 inference(transitivity,[status(thm)],[7988, 7986])).
% 6.39/4.60 tff(7990,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB41)) | (~(v130(constB41, 0) | v130(constB41, 1) | (~v130(constB41, 2)))))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(7991,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB41)) | (~(v130(constB41, 1) | v130(constB41, 0) | (~v130(constB41, 2))))),
% 6.39/4.60 inference(modus_ponens,[status(thm)],[7990, 7989])).
% 6.39/4.60 tff(7992,plain,
% 6.39/4.60 ((~v122(constB41)) | (~(v130(constB41, 1) | v130(constB41, 0) | (~v130(constB41, 2))))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7991, 5588])).
% 6.39/4.60 tff(7993,plain,
% 6.39/4.60 (~(v130(constB41, 1) | v130(constB41, 0) | (~v130(constB41, 2)))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7992, 7985])).
% 6.39/4.60 tff(7994,plain,
% 6.39/4.60 ((v130(constB41, 1) | v130(constB41, 0) | (~v130(constB41, 2))) | v130(constB41, 2)),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7995,plain,
% 6.39/4.60 (v130(constB41, 2)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7994, 7993])).
% 6.39/4.60 tff(7996,plain,
% 6.39/4.60 (((~v127(constB41, 2)) <=> v130(constB41, 2)) | v127(constB41, 2) | (~v130(constB41, 2))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7997,plain,
% 6.39/4.60 (v127(constB41, 2)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7996, 7995, 3217])).
% 6.39/4.60 tff(7998,plain,
% 6.39/4.60 (((~v129(constB42, 2)) <=> v127(constB41, 2)) | v129(constB42, 2) | (~v127(constB41, 2))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(7999,plain,
% 6.39/4.60 (v129(constB42, 2)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[7998, 7997, 3203])).
% 6.39/4.60 tff(8000,plain,
% 6.39/4.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))))),
% 6.39/4.60 inference(rewrite,[status(thm)],[])).
% 6.39/4.60 tff(8001,plain,
% 6.39/4.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(8002,plain,
% 6.39/4.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42)))))),
% 6.39/4.60 inference(modus_ponens,[status(thm)],[8001, 8000])).
% 6.39/4.60 tff(8003,plain,
% 6.39/4.60 (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8002, 3197, 273])).
% 6.39/4.60 tff(8004,plain,
% 6.39/4.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))),
% 6.39/4.60 inference(rewrite,[status(thm)],[])).
% 6.39/4.60 tff(8005,plain,
% 6.39/4.60 (((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42)))))) <=> ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))),
% 6.39/4.60 inference(rewrite,[status(thm)],[])).
% 6.39/4.60 tff(8006,plain,
% 6.39/4.60 (((~![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) <=> (~((~v1(constB42)) | (~v102(constB42)))))))),
% 6.39/4.60 inference(monotonicity,[status(thm)],[8005])).
% 6.39/4.60 tff(8007,plain,
% 6.39/4.60 (((~![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) <=> (~((~v1(constB42)) | (~v102(constB42))))))),
% 6.39/4.60 inference(transitivity,[status(thm)],[8006, 8004])).
% 6.39/4.60 tff(8008,plain,
% 6.39/4.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42))))))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(8009,plain,
% 6.39/4.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42)))))),
% 6.39/4.60 inference(modus_ponens,[status(thm)],[8008, 8007])).
% 6.39/4.60 tff(8010,plain,
% 6.39/4.60 (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8009, 3197, 293])).
% 6.39/4.60 tff(8011,plain,
% 6.39/4.60 (((~![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)))),
% 6.39/4.60 inference(rewrite,[status(thm)],[])).
% 6.39/4.60 tff(8012,plain,
% 6.39/4.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(8013,plain,
% 6.39/4.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42))),
% 6.39/4.60 inference(modus_ponens,[status(thm)],[8012, 8011])).
% 6.39/4.60 tff(8014,plain,
% 6.39/4.60 ((~v102(constB42)) <=> v104(constB42)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8013, 3197, 4609])).
% 6.39/4.60 tff(8015,plain,
% 6.39/4.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41)))),
% 6.39/4.60 inference(rewrite,[status(thm)],[])).
% 6.39/4.60 tff(8016,plain,
% 6.39/4.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(8017,plain,
% 6.39/4.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41))),
% 6.39/4.60 inference(modus_ponens,[status(thm)],[8016, 8015])).
% 6.39/4.60 tff(8018,plain,
% 6.39/4.60 (v104(constB42) <=> v1(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8017, 3197, 4623])).
% 6.39/4.60 tff(8019,plain,
% 6.39/4.60 ((~(v104(constB42) <=> v1(constB41))) | (~v104(constB42)) | v1(constB41)),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8020,plain,
% 6.39/4.60 ((~(v104(constB42) <=> v1(constB41))) | (~v104(constB42))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8019, 3241])).
% 6.39/4.60 tff(8021,plain,
% 6.39/4.60 (~v104(constB42)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8020, 8018])).
% 6.39/4.60 tff(8022,plain,
% 6.39/4.60 ((~((~v102(constB42)) <=> v104(constB42))) | v102(constB42) | v104(constB42)),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8023,plain,
% 6.39/4.60 (v102(constB42)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8022, 8021, 8014])).
% 6.39/4.60 tff(8024,plain,
% 6.39/4.60 (v1(constB42) <=> v1(constB42)),
% 6.39/4.60 inference(rewrite,[status(thm)],[])).
% 6.39/4.60 tff(8025,axiom,(v1(constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_42')).
% 6.39/4.60 tff(8026,plain,
% 6.39/4.60 (v1(constB42)),
% 6.39/4.60 inference(modus_ponens,[status(thm)],[8025, 8024])).
% 6.39/4.60 tff(8027,plain,
% 6.39/4.60 ((~((~v1(constB42)) | (~v102(constB42)))) | (~v1(constB42)) | (~v102(constB42))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8028,plain,
% 6.39/4.60 ((~((~v1(constB42)) | (~v102(constB42)))) | (~v102(constB42))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8027, 8026])).
% 6.39/4.60 tff(8029,plain,
% 6.39/4.60 (~((~v1(constB42)) | (~v102(constB42)))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8028, 8023])).
% 6.39/4.60 tff(8030,plain,
% 6.39/4.60 ((~(v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42)))))) | v101(constB42) | ((~v1(constB42)) | (~v102(constB42)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8031,plain,
% 6.39/4.60 (v101(constB42)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8030, 8029, 8010])).
% 6.39/4.60 tff(8032,plain,
% 6.39/4.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41)))),
% 6.39/4.60 inference(rewrite,[status(thm)],[])).
% 6.39/4.60 tff(8033,plain,
% 6.39/4.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(8034,plain,
% 6.39/4.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41))),
% 6.39/4.60 inference(modus_ponens,[status(thm)],[8033, 8032])).
% 6.39/4.60 tff(8035,plain,
% 6.39/4.60 (v110(constB42) <=> v108(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8034, 3197, 4650])).
% 6.39/4.60 tff(8036,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB41) <=> (v111(constB41) | v112(constB41)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(8037,plain,
% 6.39/4.60 (v108(constB41) <=> (v111(constB41) | v112(constB41))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8036, 4661])).
% 6.39/4.60 tff(8038,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41)))))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(8039,plain,
% 6.39/4.60 (v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41))))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8038, 4673])).
% 6.39/4.60 tff(8040,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB41) <=> (v114(constB41) | v125(constB41)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(8041,plain,
% 6.39/4.60 (v113(constB41) <=> (v114(constB41) | v125(constB41))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8040, 4682])).
% 6.39/4.60 tff(8042,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB41) <=> (v115(constB41) | v124(constB41)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(8043,plain,
% 6.39/4.60 (v114(constB41) <=> (v115(constB41) | v124(constB41))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8042, 4691])).
% 6.39/4.60 tff(8044,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB41) <=> (v116(constB41) | v123(constB41)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(8045,plain,
% 6.39/4.60 (v115(constB41) <=> (v116(constB41) | v123(constB41))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8044, 4700])).
% 6.39/4.60 tff(8046,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB41) <=> (v117(constB41) | v122(constB41)))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(8047,plain,
% 6.39/4.60 (v116(constB41) <=> (v117(constB41) | v122(constB41))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8046, 4709])).
% 6.39/4.60 tff(8048,plain,
% 6.39/4.60 ((v117(constB41) | v122(constB41)) | (~v122(constB41))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8049,plain,
% 6.39/4.60 (v117(constB41) | v122(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8048, 7985])).
% 6.39/4.60 tff(8050,plain,
% 6.39/4.60 ((~(v116(constB41) <=> (v117(constB41) | v122(constB41)))) | v116(constB41) | (~(v117(constB41) | v122(constB41)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8051,plain,
% 6.39/4.60 (v116(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8050, 8049, 8047])).
% 6.39/4.60 tff(8052,plain,
% 6.39/4.60 ((v116(constB41) | v123(constB41)) | (~v116(constB41))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8053,plain,
% 6.39/4.60 (v116(constB41) | v123(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8052, 8051])).
% 6.39/4.60 tff(8054,plain,
% 6.39/4.60 ((~(v115(constB41) <=> (v116(constB41) | v123(constB41)))) | v115(constB41) | (~(v116(constB41) | v123(constB41)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8055,plain,
% 6.39/4.60 (v115(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8054, 8053, 8045])).
% 6.39/4.60 tff(8056,plain,
% 6.39/4.60 ((v115(constB41) | v124(constB41)) | (~v115(constB41))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8057,plain,
% 6.39/4.60 (v115(constB41) | v124(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8056, 8055])).
% 6.39/4.60 tff(8058,plain,
% 6.39/4.60 ((~(v114(constB41) <=> (v115(constB41) | v124(constB41)))) | v114(constB41) | (~(v115(constB41) | v124(constB41)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8059,plain,
% 6.39/4.60 (v114(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8058, 8057, 8043])).
% 6.39/4.60 tff(8060,plain,
% 6.39/4.60 ((v114(constB41) | v125(constB41)) | (~v114(constB41))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8061,plain,
% 6.39/4.60 (v114(constB41) | v125(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8060, 8059])).
% 6.39/4.60 tff(8062,plain,
% 6.39/4.60 ((~(v113(constB41) <=> (v114(constB41) | v125(constB41)))) | v113(constB41) | (~(v114(constB41) | v125(constB41)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8063,plain,
% 6.39/4.60 (v113(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8062, 8061, 8041])).
% 6.39/4.60 tff(8064,plain,
% 6.39/4.60 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB41)) <=> v111(constB41))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(8065,plain,
% 6.39/4.60 ((~v126(constB41)) <=> v111(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8064, 4761])).
% 6.39/4.60 tff(8066,plain,
% 6.39/4.60 ((~((~v126(constB41)) <=> v111(constB41))) | v126(constB41) | v111(constB41)),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8067,plain,
% 6.39/4.60 ((~((~v126(constB41)) <=> v111(constB41))) | v126(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8066, 3210])).
% 6.39/4.60 tff(8068,plain,
% 6.39/4.60 (v126(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8067, 8065])).
% 6.39/4.60 tff(8069,plain,
% 6.39/4.60 ((~((~v113(constB41)) | (~v126(constB41)))) | (~v113(constB41)) | (~v126(constB41))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8070,plain,
% 6.39/4.60 ((~((~v113(constB41)) | (~v126(constB41)))) | (~v113(constB41))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8069, 8068])).
% 6.39/4.60 tff(8071,plain,
% 6.39/4.60 (~((~v113(constB41)) | (~v126(constB41)))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8070, 8063])).
% 6.39/4.60 tff(8072,plain,
% 6.39/4.60 ((~(v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41)))))) | v112(constB41) | ((~v113(constB41)) | (~v126(constB41)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8073,plain,
% 6.39/4.60 (v112(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8072, 8071, 8039])).
% 6.39/4.60 tff(8074,plain,
% 6.39/4.60 ((v111(constB41) | v112(constB41)) | (~v112(constB41))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8075,plain,
% 6.39/4.60 (v111(constB41) | v112(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8074, 8073])).
% 6.39/4.60 tff(8076,plain,
% 6.39/4.60 ((~(v108(constB41) <=> (v111(constB41) | v112(constB41)))) | v108(constB41) | (~(v111(constB41) | v112(constB41)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8077,plain,
% 6.39/4.60 (v108(constB41)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8076, 8075, 8037])).
% 6.39/4.60 tff(8078,plain,
% 6.39/4.60 ((~(v110(constB42) <=> v108(constB41))) | v110(constB42) | (~v108(constB41))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8079,plain,
% 6.39/4.60 (v110(constB42)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8078, 8077, 8035])).
% 6.39/4.60 tff(8080,plain,
% 6.39/4.60 ((~((~v101(constB42)) | (~v110(constB42)))) | (~v101(constB42)) | (~v110(constB42))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8081,plain,
% 6.39/4.60 (~((~v101(constB42)) | (~v110(constB42)))),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8080, 8079, 8031])).
% 6.39/4.60 tff(8082,plain,
% 6.39/4.60 ((~(v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42)))))) | v100(constB42) | ((~v101(constB42)) | (~v110(constB42)))),
% 6.39/4.60 inference(tautology,[status(thm)],[])).
% 6.39/4.60 tff(8083,plain,
% 6.39/4.60 (v100(constB42)),
% 6.39/4.60 inference(unit_resolution,[status(thm)],[8082, 8081, 8003])).
% 6.39/4.60 tff(8084,plain,
% 6.39/4.60 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB42)) | (~(((~v90(constB42, 0)) <=> v129(constB42, 0)) | ((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB42)) | (~(((~v90(constB42, 0)) <=> v129(constB42, 0)) | ((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1)))))),
% 6.39/4.60 inference(rewrite,[status(thm)],[])).
% 6.39/4.60 tff(8085,plain,
% 6.39/4.60 (((~v100(constB42)) | (~(((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1)) | ((~v90(constB42, 0)) <=> v129(constB42, 0))))) <=> ((~v100(constB42)) | (~(((~v90(constB42, 0)) <=> v129(constB42, 0)) | ((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1)))))),
% 6.39/4.60 inference(rewrite,[status(thm)],[])).
% 6.39/4.60 tff(8086,plain,
% 6.39/4.60 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB42)) | (~(((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1)) | ((~v90(constB42, 0)) <=> v129(constB42, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB42)) | (~(((~v90(constB42, 0)) <=> v129(constB42, 0)) | ((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1))))))),
% 6.39/4.60 inference(monotonicity,[status(thm)],[8085])).
% 6.39/4.60 tff(8087,plain,
% 6.39/4.60 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB42)) | (~(((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1)) | ((~v90(constB42, 0)) <=> v129(constB42, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB42)) | (~(((~v90(constB42, 0)) <=> v129(constB42, 0)) | ((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1)))))),
% 6.39/4.60 inference(transitivity,[status(thm)],[8086, 8084])).
% 6.39/4.60 tff(8088,plain,
% 6.39/4.60 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB42)) | (~(((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1)) | ((~v90(constB42, 0)) <=> v129(constB42, 0)))))),
% 6.39/4.60 inference(quant_inst,[status(thm)],[])).
% 6.39/4.60 tff(8089,plain,
% 6.39/4.60 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB42)) | (~(((~v90(constB42, 0)) <=> v129(constB42, 0)) | ((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1))))),
% 6.39/4.61 inference(modus_ponens,[status(thm)],[8088, 8087])).
% 6.39/4.61 tff(8090,plain,
% 6.39/4.61 ((~v100(constB42)) | (~(((~v90(constB42, 0)) <=> v129(constB42, 0)) | ((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1))))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8089, 4794])).
% 6.39/4.61 tff(8091,plain,
% 6.39/4.61 (~(((~v90(constB42, 0)) <=> v129(constB42, 0)) | ((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1)))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8090, 8083])).
% 6.39/4.61 tff(8092,plain,
% 6.39/4.61 ((((~v90(constB42, 0)) <=> v129(constB42, 0)) | ((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1))) | (~((~v90(constB42, 2)) <=> v129(constB42, 2)))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8093,plain,
% 6.39/4.61 (~((~v90(constB42, 2)) <=> v129(constB42, 2))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8092, 8091])).
% 6.39/4.61 tff(8094,plain,
% 6.39/4.61 (((~v90(constB42, 2)) <=> v129(constB42, 2)) | v90(constB42, 2) | (~v129(constB42, 2))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8095,plain,
% 6.39/4.61 (v90(constB42, 2)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8094, 8093, 7999])).
% 6.39/4.61 tff(8096,plain,
% 6.39/4.61 (((~v90(constB43, 2)) <=> v90(constB42, 2)) | v90(constB43, 2) | (~v90(constB42, 2))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8097,plain,
% 6.39/4.61 (v90(constB43, 2)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8096, 8095, 3194])).
% 6.39/4.61 tff(8098,plain,
% 6.39/4.61 ((((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0))) | (~((~v90(constB43, 0)) <=> v90(constB42, 0)))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8099,plain,
% 6.39/4.61 (~((~v90(constB43, 0)) <=> v90(constB42, 0))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8098, 3192])).
% 6.39/4.61 tff(8100,plain,
% 6.39/4.61 ((((~v129(constB42, 2)) <=> v127(constB41, 2)) | ((~v129(constB42, 1)) <=> v127(constB41, 1)) | ((~v129(constB42, 0)) <=> v127(constB41, 0))) | (~((~v129(constB42, 0)) <=> v127(constB41, 0)))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8101,plain,
% 6.39/4.61 (~((~v129(constB42, 0)) <=> v127(constB41, 0))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8100, 3201])).
% 6.39/4.61 tff(8102,plain,
% 6.39/4.61 ((((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0))) | (~((~v127(constB41, 0)) <=> v130(constB41, 0)))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8103,plain,
% 6.39/4.61 (~((~v127(constB41, 0)) <=> v130(constB41, 0))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8102, 3215])).
% 6.39/4.61 tff(8104,plain,
% 6.39/4.61 ((v130(constB41, 1) | v130(constB41, 0) | (~v130(constB41, 2))) | (~v130(constB41, 0))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8105,plain,
% 6.39/4.61 (~v130(constB41, 0)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8104, 7993])).
% 6.39/4.61 tff(8106,plain,
% 6.39/4.61 (((~v127(constB41, 0)) <=> v130(constB41, 0)) | (~v127(constB41, 0)) | v130(constB41, 0)),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8107,plain,
% 6.39/4.61 (~v127(constB41, 0)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8106, 8105, 8103])).
% 6.39/4.61 tff(8108,plain,
% 6.39/4.61 (((~v129(constB42, 0)) <=> v127(constB41, 0)) | (~v129(constB42, 0)) | v127(constB41, 0)),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8109,plain,
% 6.39/4.61 (~v129(constB42, 0)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8108, 8107, 8101])).
% 6.39/4.61 tff(8110,plain,
% 6.39/4.61 ((((~v90(constB42, 0)) <=> v129(constB42, 0)) | ((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1))) | (~((~v90(constB42, 0)) <=> v129(constB42, 0)))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8111,plain,
% 6.39/4.61 (~((~v90(constB42, 0)) <=> v129(constB42, 0))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8110, 8091])).
% 6.39/4.61 tff(8112,plain,
% 6.39/4.61 (((~v90(constB42, 0)) <=> v129(constB42, 0)) | (~v90(constB42, 0)) | v129(constB42, 0)),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8113,plain,
% 6.39/4.61 (~v90(constB42, 0)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8112, 8111, 8109])).
% 6.39/4.61 tff(8114,plain,
% 6.39/4.61 (((~v90(constB43, 0)) <=> v90(constB42, 0)) | (~v90(constB43, 0)) | v90(constB42, 0)),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8115,plain,
% 6.39/4.61 (~v90(constB43, 0)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8114, 8113, 8099])).
% 6.39/4.61 tff(8116,plain,
% 6.39/4.61 ((((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0))) | (~((~v90(constB43, 1)) <=> v90(constB42, 1)))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8117,plain,
% 6.39/4.61 (~((~v90(constB43, 1)) <=> v90(constB42, 1))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8116, 3192])).
% 6.39/4.61 tff(8118,plain,
% 6.39/4.61 ((((~v129(constB42, 2)) <=> v127(constB41, 2)) | ((~v129(constB42, 1)) <=> v127(constB41, 1)) | ((~v129(constB42, 0)) <=> v127(constB41, 0))) | (~((~v129(constB42, 1)) <=> v127(constB41, 1)))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8119,plain,
% 6.39/4.61 (~((~v129(constB42, 1)) <=> v127(constB41, 1))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8118, 3201])).
% 6.39/4.61 tff(8120,plain,
% 6.39/4.61 ((((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0))) | (~((~v127(constB41, 1)) <=> v130(constB41, 1)))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8121,plain,
% 6.39/4.61 (~((~v127(constB41, 1)) <=> v130(constB41, 1))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8120, 3215])).
% 6.39/4.61 tff(8122,plain,
% 6.39/4.61 ((v130(constB41, 1) | v130(constB41, 0) | (~v130(constB41, 2))) | (~v130(constB41, 1))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8123,plain,
% 6.39/4.61 (~v130(constB41, 1)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8122, 7993])).
% 6.39/4.61 tff(8124,plain,
% 6.39/4.61 (((~v127(constB41, 1)) <=> v130(constB41, 1)) | (~v127(constB41, 1)) | v130(constB41, 1)),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8125,plain,
% 6.39/4.61 (~v127(constB41, 1)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8124, 8123, 8121])).
% 6.39/4.61 tff(8126,plain,
% 6.39/4.61 (((~v129(constB42, 1)) <=> v127(constB41, 1)) | (~v129(constB42, 1)) | v127(constB41, 1)),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8127,plain,
% 6.39/4.61 (~v129(constB42, 1)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8126, 8125, 8119])).
% 6.39/4.61 tff(8128,plain,
% 6.39/4.61 ((((~v90(constB42, 0)) <=> v129(constB42, 0)) | ((~v90(constB42, 2)) <=> v129(constB42, 2)) | ((~v90(constB42, 1)) <=> v129(constB42, 1))) | (~((~v90(constB42, 1)) <=> v129(constB42, 1)))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8129,plain,
% 6.39/4.61 (~((~v90(constB42, 1)) <=> v129(constB42, 1))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8128, 8091])).
% 6.39/4.61 tff(8130,plain,
% 6.39/4.61 (((~v90(constB42, 1)) <=> v129(constB42, 1)) | (~v90(constB42, 1)) | v129(constB42, 1)),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8131,plain,
% 6.39/4.61 (~v90(constB42, 1)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8130, 8129, 8127])).
% 6.39/4.61 tff(8132,plain,
% 6.39/4.61 (((~v90(constB43, 1)) <=> v90(constB42, 1)) | (~v90(constB43, 1)) | v90(constB42, 1)),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8133,plain,
% 6.39/4.61 (~v90(constB43, 1)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8132, 8131, 8117])).
% 6.39/4.61 tff(8134,plain,
% 6.39/4.61 ((~(v90(constB43, 1) | v90(constB43, 0) | (~v90(constB43, 2)))) | v90(constB43, 1) | v90(constB43, 0) | (~v90(constB43, 2))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8135,plain,
% 6.39/4.61 (~(v90(constB43, 1) | v90(constB43, 0) | (~v90(constB43, 2)))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8134, 8133, 8115, 8097])).
% 6.39/4.61 tff(8136,plain,
% 6.39/4.61 ((~(v123(constB43) <=> (~(v90(constB43, 1) | v90(constB43, 0) | (~v90(constB43, 2)))))) | v123(constB43) | (v90(constB43, 1) | v90(constB43, 0) | (~v90(constB43, 2)))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8137,plain,
% 6.39/4.61 (v123(constB43)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8136, 8135, 3158])).
% 6.39/4.61 tff(8138,plain,
% 6.39/4.61 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB43)) | (~(v130(constB43, 0) | (~v130(constB43, 2)) | (~v130(constB43, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB43)) | (~(v130(constB43, 0) | (~v130(constB43, 2)) | (~v130(constB43, 1)))))),
% 6.39/4.61 inference(rewrite,[status(thm)],[])).
% 6.39/4.61 tff(8139,plain,
% 6.39/4.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB43)) | (~(v130(constB43, 0) | (~v130(constB43, 2)) | (~v130(constB43, 1)))))),
% 6.39/4.61 inference(quant_inst,[status(thm)],[])).
% 6.39/4.61 tff(8140,plain,
% 6.39/4.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB43)) | (~(v130(constB43, 0) | (~v130(constB43, 2)) | (~v130(constB43, 1))))),
% 6.39/4.61 inference(modus_ponens,[status(thm)],[8139, 8138])).
% 6.39/4.61 tff(8141,plain,
% 6.39/4.61 ((~v123(constB43)) | (~(v130(constB43, 0) | (~v130(constB43, 2)) | (~v130(constB43, 1))))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8140, 4861])).
% 6.39/4.61 tff(8142,plain,
% 6.39/4.61 (~(v130(constB43, 0) | (~v130(constB43, 2)) | (~v130(constB43, 1)))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8141, 8137])).
% 6.39/4.61 tff(8143,plain,
% 6.39/4.61 ((v130(constB43, 0) | (~v130(constB43, 2)) | (~v130(constB43, 1))) | v130(constB43, 2)),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8144,plain,
% 6.39/4.61 (v130(constB43, 2)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8143, 8142])).
% 6.39/4.61 tff(8145,plain,
% 6.39/4.61 (((~v127(constB43, 2)) <=> v130(constB43, 2)) | v127(constB43, 2) | (~v130(constB43, 2))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8146,plain,
% 6.39/4.61 (v127(constB43, 2)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8145, 8144, 3151])).
% 6.39/4.61 tff(8147,plain,
% 6.39/4.61 (((~v129(constB44, 2)) <=> v127(constB43, 2)) | v129(constB44, 2) | (~v127(constB43, 2))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8148,plain,
% 6.39/4.61 (v129(constB44, 2)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8147, 8146, 3137])).
% 6.39/4.61 tff(8149,plain,
% 6.39/4.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))))),
% 6.39/4.61 inference(rewrite,[status(thm)],[])).
% 6.39/4.61 tff(8150,plain,
% 6.39/4.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))))),
% 6.39/4.61 inference(quant_inst,[status(thm)],[])).
% 6.39/4.61 tff(8151,plain,
% 6.39/4.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44)))))),
% 6.39/4.61 inference(modus_ponens,[status(thm)],[8150, 8149])).
% 6.39/4.61 tff(8152,plain,
% 6.39/4.61 (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8151, 3131, 273])).
% 6.39/4.61 tff(8153,plain,
% 6.39/4.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))),
% 6.39/4.61 inference(rewrite,[status(thm)],[])).
% 6.39/4.61 tff(8154,plain,
% 6.39/4.61 (((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44)))))) <=> ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))),
% 6.39/4.61 inference(rewrite,[status(thm)],[])).
% 6.39/4.61 tff(8155,plain,
% 6.39/4.61 (((~![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) <=> (~((~v1(constB44)) | (~v102(constB44)))))))),
% 6.39/4.61 inference(monotonicity,[status(thm)],[8154])).
% 6.39/4.61 tff(8156,plain,
% 6.39/4.61 (((~![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) <=> (~((~v1(constB44)) | (~v102(constB44))))))),
% 6.39/4.61 inference(transitivity,[status(thm)],[8155, 8153])).
% 6.39/4.61 tff(8157,plain,
% 6.39/4.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44))))))),
% 6.39/4.61 inference(quant_inst,[status(thm)],[])).
% 6.39/4.61 tff(8158,plain,
% 6.39/4.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44)))))),
% 6.39/4.61 inference(modus_ponens,[status(thm)],[8157, 8156])).
% 6.39/4.61 tff(8159,plain,
% 6.39/4.61 (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8158, 3131, 293])).
% 6.39/4.61 tff(8160,plain,
% 6.39/4.61 (((~![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)))),
% 6.39/4.61 inference(rewrite,[status(thm)],[])).
% 6.39/4.61 tff(8161,plain,
% 6.39/4.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44)))),
% 6.39/4.61 inference(quant_inst,[status(thm)],[])).
% 6.39/4.61 tff(8162,plain,
% 6.39/4.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44))),
% 6.39/4.61 inference(modus_ponens,[status(thm)],[8161, 8160])).
% 6.39/4.61 tff(8163,plain,
% 6.39/4.61 ((~v102(constB44)) <=> v104(constB44)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8162, 3131, 4609])).
% 6.39/4.61 tff(8164,plain,
% 6.39/4.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43)))),
% 6.39/4.61 inference(rewrite,[status(thm)],[])).
% 6.39/4.61 tff(8165,plain,
% 6.39/4.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43)))),
% 6.39/4.61 inference(quant_inst,[status(thm)],[])).
% 6.39/4.61 tff(8166,plain,
% 6.39/4.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43))),
% 6.39/4.61 inference(modus_ponens,[status(thm)],[8165, 8164])).
% 6.39/4.61 tff(8167,plain,
% 6.39/4.61 (v104(constB44) <=> v1(constB43)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8166, 3131, 4623])).
% 6.39/4.61 tff(8168,plain,
% 6.39/4.61 ((~(v104(constB44) <=> v1(constB43))) | (~v104(constB44)) | v1(constB43)),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8169,plain,
% 6.39/4.61 ((~(v104(constB44) <=> v1(constB43))) | (~v104(constB44))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8168, 3175])).
% 6.39/4.61 tff(8170,plain,
% 6.39/4.61 (~v104(constB44)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8169, 8167])).
% 6.39/4.61 tff(8171,plain,
% 6.39/4.61 ((~((~v102(constB44)) <=> v104(constB44))) | v102(constB44) | v104(constB44)),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8172,plain,
% 6.39/4.61 (v102(constB44)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8171, 8170, 8163])).
% 6.39/4.61 tff(8173,plain,
% 6.39/4.61 (v1(constB44) <=> v1(constB44)),
% 6.39/4.61 inference(rewrite,[status(thm)],[])).
% 6.39/4.61 tff(8174,axiom,(v1(constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_44')).
% 6.39/4.61 tff(8175,plain,
% 6.39/4.61 (v1(constB44)),
% 6.39/4.61 inference(modus_ponens,[status(thm)],[8174, 8173])).
% 6.39/4.61 tff(8176,plain,
% 6.39/4.61 ((~((~v1(constB44)) | (~v102(constB44)))) | (~v1(constB44)) | (~v102(constB44))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8177,plain,
% 6.39/4.61 ((~((~v1(constB44)) | (~v102(constB44)))) | (~v102(constB44))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8176, 8175])).
% 6.39/4.61 tff(8178,plain,
% 6.39/4.61 (~((~v1(constB44)) | (~v102(constB44)))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8177, 8172])).
% 6.39/4.61 tff(8179,plain,
% 6.39/4.61 ((~(v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44)))))) | v101(constB44) | ((~v1(constB44)) | (~v102(constB44)))),
% 6.39/4.61 inference(tautology,[status(thm)],[])).
% 6.39/4.61 tff(8180,plain,
% 6.39/4.61 (v101(constB44)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8179, 8178, 8159])).
% 6.39/4.61 tff(8181,plain,
% 6.39/4.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43)))),
% 6.39/4.61 inference(rewrite,[status(thm)],[])).
% 6.39/4.61 tff(8182,plain,
% 6.39/4.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43)))),
% 6.39/4.61 inference(quant_inst,[status(thm)],[])).
% 6.39/4.61 tff(8183,plain,
% 6.39/4.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43))),
% 6.39/4.61 inference(modus_ponens,[status(thm)],[8182, 8181])).
% 6.39/4.61 tff(8184,plain,
% 6.39/4.61 (v110(constB44) <=> v108(constB43)),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8183, 3131, 4650])).
% 6.39/4.61 tff(8185,plain,
% 6.39/4.61 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB43) <=> (v111(constB43) | v112(constB43)))),
% 6.39/4.61 inference(quant_inst,[status(thm)],[])).
% 6.39/4.61 tff(8186,plain,
% 6.39/4.61 (v108(constB43) <=> (v111(constB43) | v112(constB43))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8185, 4661])).
% 6.39/4.61 tff(8187,plain,
% 6.39/4.61 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43)))))),
% 6.39/4.61 inference(quant_inst,[status(thm)],[])).
% 6.39/4.61 tff(8188,plain,
% 6.39/4.61 (v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43))))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8187, 4673])).
% 6.39/4.61 tff(8189,plain,
% 6.39/4.61 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB43) <=> (v114(constB43) | v125(constB43)))),
% 6.39/4.61 inference(quant_inst,[status(thm)],[])).
% 6.39/4.61 tff(8190,plain,
% 6.39/4.61 (v113(constB43) <=> (v114(constB43) | v125(constB43))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8189, 4682])).
% 6.39/4.61 tff(8191,plain,
% 6.39/4.61 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB43) <=> (v115(constB43) | v124(constB43)))),
% 6.39/4.61 inference(quant_inst,[status(thm)],[])).
% 6.39/4.61 tff(8192,plain,
% 6.39/4.61 (v114(constB43) <=> (v115(constB43) | v124(constB43))),
% 6.39/4.61 inference(unit_resolution,[status(thm)],[8191, 4691])).
% 6.39/4.61 tff(8193,plain,
% 6.39/4.61 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB43) <=> (v116(constB43) | v123(constB43)))),
% 6.43/4.61 inference(quant_inst,[status(thm)],[])).
% 6.43/4.61 tff(8194,plain,
% 6.43/4.61 (v115(constB43) <=> (v116(constB43) | v123(constB43))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8193, 4700])).
% 6.43/4.61 tff(8195,plain,
% 6.43/4.61 ((v116(constB43) | v123(constB43)) | (~v123(constB43))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8196,plain,
% 6.43/4.61 (v116(constB43) | v123(constB43)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8195, 8137])).
% 6.43/4.61 tff(8197,plain,
% 6.43/4.61 ((~(v115(constB43) <=> (v116(constB43) | v123(constB43)))) | v115(constB43) | (~(v116(constB43) | v123(constB43)))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8198,plain,
% 6.43/4.61 (v115(constB43)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8197, 8196, 8194])).
% 6.43/4.61 tff(8199,plain,
% 6.43/4.61 ((v115(constB43) | v124(constB43)) | (~v115(constB43))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8200,plain,
% 6.43/4.61 (v115(constB43) | v124(constB43)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8199, 8198])).
% 6.43/4.61 tff(8201,plain,
% 6.43/4.61 ((~(v114(constB43) <=> (v115(constB43) | v124(constB43)))) | v114(constB43) | (~(v115(constB43) | v124(constB43)))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8202,plain,
% 6.43/4.61 (v114(constB43)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8201, 8200, 8192])).
% 6.43/4.61 tff(8203,plain,
% 6.43/4.61 ((v114(constB43) | v125(constB43)) | (~v114(constB43))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8204,plain,
% 6.43/4.61 (v114(constB43) | v125(constB43)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8203, 8202])).
% 6.43/4.61 tff(8205,plain,
% 6.43/4.61 ((~(v113(constB43) <=> (v114(constB43) | v125(constB43)))) | v113(constB43) | (~(v114(constB43) | v125(constB43)))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8206,plain,
% 6.43/4.61 (v113(constB43)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8205, 8204, 8190])).
% 6.43/4.61 tff(8207,plain,
% 6.43/4.61 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB43)) <=> v111(constB43))),
% 6.43/4.61 inference(quant_inst,[status(thm)],[])).
% 6.43/4.61 tff(8208,plain,
% 6.43/4.61 ((~v126(constB43)) <=> v111(constB43)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8207, 4761])).
% 6.43/4.61 tff(8209,plain,
% 6.43/4.61 ((~((~v126(constB43)) <=> v111(constB43))) | v126(constB43) | v111(constB43)),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8210,plain,
% 6.43/4.61 ((~((~v126(constB43)) <=> v111(constB43))) | v126(constB43)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8209, 3144])).
% 6.43/4.61 tff(8211,plain,
% 6.43/4.61 (v126(constB43)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8210, 8208])).
% 6.43/4.61 tff(8212,plain,
% 6.43/4.61 ((~((~v113(constB43)) | (~v126(constB43)))) | (~v113(constB43)) | (~v126(constB43))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8213,plain,
% 6.43/4.61 ((~((~v113(constB43)) | (~v126(constB43)))) | (~v113(constB43))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8212, 8211])).
% 6.43/4.61 tff(8214,plain,
% 6.43/4.61 (~((~v113(constB43)) | (~v126(constB43)))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8213, 8206])).
% 6.43/4.61 tff(8215,plain,
% 6.43/4.61 ((~(v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43)))))) | v112(constB43) | ((~v113(constB43)) | (~v126(constB43)))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8216,plain,
% 6.43/4.61 (v112(constB43)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8215, 8214, 8188])).
% 6.43/4.61 tff(8217,plain,
% 6.43/4.61 ((v111(constB43) | v112(constB43)) | (~v112(constB43))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8218,plain,
% 6.43/4.61 (v111(constB43) | v112(constB43)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8217, 8216])).
% 6.43/4.61 tff(8219,plain,
% 6.43/4.61 ((~(v108(constB43) <=> (v111(constB43) | v112(constB43)))) | v108(constB43) | (~(v111(constB43) | v112(constB43)))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8220,plain,
% 6.43/4.61 (v108(constB43)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8219, 8218, 8186])).
% 6.43/4.61 tff(8221,plain,
% 6.43/4.61 ((~(v110(constB44) <=> v108(constB43))) | v110(constB44) | (~v108(constB43))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8222,plain,
% 6.43/4.61 (v110(constB44)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8221, 8220, 8184])).
% 6.43/4.61 tff(8223,plain,
% 6.43/4.61 ((~((~v101(constB44)) | (~v110(constB44)))) | (~v101(constB44)) | (~v110(constB44))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8224,plain,
% 6.43/4.61 (~((~v101(constB44)) | (~v110(constB44)))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8223, 8222, 8180])).
% 6.43/4.61 tff(8225,plain,
% 6.43/4.61 ((~(v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44)))))) | v100(constB44) | ((~v101(constB44)) | (~v110(constB44)))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8226,plain,
% 6.43/4.61 (v100(constB44)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8225, 8224, 8152])).
% 6.43/4.61 tff(8227,plain,
% 6.43/4.61 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB44)) | (~(((~v90(constB44, 2)) <=> v129(constB44, 2)) | ((~v90(constB44, 1)) <=> v129(constB44, 1)) | ((~v90(constB44, 0)) <=> v129(constB44, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB44)) | (~(((~v90(constB44, 2)) <=> v129(constB44, 2)) | ((~v90(constB44, 1)) <=> v129(constB44, 1)) | ((~v90(constB44, 0)) <=> v129(constB44, 0)))))),
% 6.43/4.61 inference(rewrite,[status(thm)],[])).
% 6.43/4.61 tff(8228,plain,
% 6.43/4.61 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB44)) | (~(((~v90(constB44, 2)) <=> v129(constB44, 2)) | ((~v90(constB44, 1)) <=> v129(constB44, 1)) | ((~v90(constB44, 0)) <=> v129(constB44, 0)))))),
% 6.43/4.61 inference(quant_inst,[status(thm)],[])).
% 6.43/4.61 tff(8229,plain,
% 6.43/4.61 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB44)) | (~(((~v90(constB44, 2)) <=> v129(constB44, 2)) | ((~v90(constB44, 1)) <=> v129(constB44, 1)) | ((~v90(constB44, 0)) <=> v129(constB44, 0))))),
% 6.43/4.61 inference(modus_ponens,[status(thm)],[8228, 8227])).
% 6.43/4.61 tff(8230,plain,
% 6.43/4.61 ((~v100(constB44)) | (~(((~v90(constB44, 2)) <=> v129(constB44, 2)) | ((~v90(constB44, 1)) <=> v129(constB44, 1)) | ((~v90(constB44, 0)) <=> v129(constB44, 0))))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8229, 4794])).
% 6.43/4.61 tff(8231,plain,
% 6.43/4.61 (~(((~v90(constB44, 2)) <=> v129(constB44, 2)) | ((~v90(constB44, 1)) <=> v129(constB44, 1)) | ((~v90(constB44, 0)) <=> v129(constB44, 0)))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8230, 8226])).
% 6.43/4.61 tff(8232,plain,
% 6.43/4.61 ((((~v90(constB44, 2)) <=> v129(constB44, 2)) | ((~v90(constB44, 1)) <=> v129(constB44, 1)) | ((~v90(constB44, 0)) <=> v129(constB44, 0))) | (~((~v90(constB44, 2)) <=> v129(constB44, 2)))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8233,plain,
% 6.43/4.61 (~((~v90(constB44, 2)) <=> v129(constB44, 2))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8232, 8231])).
% 6.43/4.61 tff(8234,plain,
% 6.43/4.61 (((~v90(constB44, 2)) <=> v129(constB44, 2)) | v90(constB44, 2) | (~v129(constB44, 2))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8235,plain,
% 6.43/4.61 (v90(constB44, 2)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8234, 8233, 8148])).
% 6.43/4.61 tff(8236,plain,
% 6.43/4.61 (((~v90(constB45, 2)) <=> v90(constB44, 2)) | v90(constB45, 2) | (~v90(constB44, 2))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8237,plain,
% 6.43/4.61 (v90(constB45, 2)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8236, 8235, 3128])).
% 6.43/4.61 tff(8238,plain,
% 6.43/4.61 ((v90(constB45, 0) | v90(constB45, 1) | v90(constB45, 2)) | (~v90(constB45, 2))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8239,plain,
% 6.43/4.61 (v90(constB45, 0) | v90(constB45, 1) | v90(constB45, 2)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8238, 8237])).
% 6.43/4.61 tff(8240,plain,
% 6.43/4.61 ((~(v119(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 1) | v90(constB45, 2))))) | (~v119(constB45)) | (~(v90(constB45, 0) | v90(constB45, 1) | v90(constB45, 2)))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8241,plain,
% 6.43/4.61 (~v119(constB45)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8240, 8239, 3092])).
% 6.43/4.61 tff(8242,plain,
% 6.43/4.61 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB45) <=> (~(v90(constB45, 1) | (~v90(constB45, 2)) | (~v90(constB45, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB45) <=> (~(v90(constB45, 1) | (~v90(constB45, 2)) | (~v90(constB45, 0))))))),
% 6.43/4.61 inference(rewrite,[status(thm)],[])).
% 6.43/4.61 tff(8243,plain,
% 6.43/4.61 ((v124(constB45) <=> (~(v90(constB45, 1) | (~v90(constB45, 0)) | (~v90(constB45, 2))))) <=> (v124(constB45) <=> (~(v90(constB45, 1) | (~v90(constB45, 2)) | (~v90(constB45, 0)))))),
% 6.43/4.61 inference(rewrite,[status(thm)],[])).
% 6.43/4.61 tff(8244,plain,
% 6.43/4.61 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB45) <=> (~(v90(constB45, 1) | (~v90(constB45, 0)) | (~v90(constB45, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB45) <=> (~(v90(constB45, 1) | (~v90(constB45, 2)) | (~v90(constB45, 0))))))),
% 6.43/4.61 inference(monotonicity,[status(thm)],[8243])).
% 6.43/4.61 tff(8245,plain,
% 6.43/4.61 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB45) <=> (~(v90(constB45, 1) | (~v90(constB45, 0)) | (~v90(constB45, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB45) <=> (~(v90(constB45, 1) | (~v90(constB45, 2)) | (~v90(constB45, 0))))))),
% 6.43/4.61 inference(transitivity,[status(thm)],[8244, 8242])).
% 6.43/4.61 tff(8246,plain,
% 6.43/4.61 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB45) <=> (~(v90(constB45, 1) | (~v90(constB45, 0)) | (~v90(constB45, 2)))))),
% 6.43/4.61 inference(quant_inst,[status(thm)],[])).
% 6.43/4.61 tff(8247,plain,
% 6.43/4.61 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB45) <=> (~(v90(constB45, 1) | (~v90(constB45, 2)) | (~v90(constB45, 0)))))),
% 6.43/4.61 inference(modus_ponens,[status(thm)],[8246, 8245])).
% 6.43/4.61 tff(8248,plain,
% 6.43/4.61 (v124(constB45) <=> (~(v90(constB45, 1) | (~v90(constB45, 2)) | (~v90(constB45, 0))))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8247, 4978])).
% 6.43/4.61 tff(8249,plain,
% 6.43/4.61 ((((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0))) | (~((~v90(constB45, 1)) <=> v90(constB44, 1)))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8250,plain,
% 6.43/4.61 (~((~v90(constB45, 1)) <=> v90(constB44, 1))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8249, 3126])).
% 6.43/4.61 tff(8251,plain,
% 6.43/4.61 ((((~v129(constB44, 2)) <=> v127(constB43, 2)) | ((~v129(constB44, 1)) <=> v127(constB43, 1)) | ((~v129(constB44, 0)) <=> v127(constB43, 0))) | (~((~v129(constB44, 1)) <=> v127(constB43, 1)))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8252,plain,
% 6.43/4.61 (~((~v129(constB44, 1)) <=> v127(constB43, 1))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8251, 3135])).
% 6.43/4.61 tff(8253,plain,
% 6.43/4.61 ((((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0))) | (~((~v127(constB43, 1)) <=> v130(constB43, 1)))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8254,plain,
% 6.43/4.61 (~((~v127(constB43, 1)) <=> v130(constB43, 1))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8253, 3149])).
% 6.43/4.61 tff(8255,plain,
% 6.43/4.61 ((v130(constB43, 0) | (~v130(constB43, 2)) | (~v130(constB43, 1))) | v130(constB43, 1)),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8256,plain,
% 6.43/4.61 (v130(constB43, 1)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8255, 8142])).
% 6.43/4.61 tff(8257,plain,
% 6.43/4.61 (((~v127(constB43, 1)) <=> v130(constB43, 1)) | v127(constB43, 1) | (~v130(constB43, 1))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8258,plain,
% 6.43/4.61 (v127(constB43, 1)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8257, 8256, 8254])).
% 6.43/4.61 tff(8259,plain,
% 6.43/4.61 (((~v129(constB44, 1)) <=> v127(constB43, 1)) | v129(constB44, 1) | (~v127(constB43, 1))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8260,plain,
% 6.43/4.61 (v129(constB44, 1)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8259, 8258, 8252])).
% 6.43/4.61 tff(8261,plain,
% 6.43/4.61 ((((~v90(constB44, 2)) <=> v129(constB44, 2)) | ((~v90(constB44, 1)) <=> v129(constB44, 1)) | ((~v90(constB44, 0)) <=> v129(constB44, 0))) | (~((~v90(constB44, 1)) <=> v129(constB44, 1)))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8262,plain,
% 6.43/4.61 (~((~v90(constB44, 1)) <=> v129(constB44, 1))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8261, 8231])).
% 6.43/4.61 tff(8263,plain,
% 6.43/4.61 (((~v90(constB44, 1)) <=> v129(constB44, 1)) | v90(constB44, 1) | (~v129(constB44, 1))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8264,plain,
% 6.43/4.61 (v90(constB44, 1)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8263, 8262, 8260])).
% 6.43/4.61 tff(8265,plain,
% 6.43/4.61 (((~v90(constB45, 1)) <=> v90(constB44, 1)) | v90(constB45, 1) | (~v90(constB44, 1))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8266,plain,
% 6.43/4.61 (v90(constB45, 1)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8265, 8264, 8250])).
% 6.43/4.61 tff(8267,plain,
% 6.43/4.61 ((v90(constB45, 1) | (~v90(constB45, 2)) | (~v90(constB45, 0))) | (~v90(constB45, 1))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8268,plain,
% 6.43/4.61 (v90(constB45, 1) | (~v90(constB45, 2)) | (~v90(constB45, 0))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8267, 8266])).
% 6.43/4.61 tff(8269,plain,
% 6.43/4.61 ((~(v124(constB45) <=> (~(v90(constB45, 1) | (~v90(constB45, 2)) | (~v90(constB45, 0)))))) | (~v124(constB45)) | (~(v90(constB45, 1) | (~v90(constB45, 2)) | (~v90(constB45, 0))))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8270,plain,
% 6.43/4.61 (~v124(constB45)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8269, 8268, 8248])).
% 6.43/4.61 tff(8271,plain,
% 6.43/4.61 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2))))))),
% 6.43/4.61 inference(rewrite,[status(thm)],[])).
% 6.43/4.61 tff(8272,plain,
% 6.43/4.61 ((v123(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2))))) <=> (v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2)))))),
% 6.43/4.61 inference(rewrite,[status(thm)],[])).
% 6.43/4.61 tff(8273,plain,
% 6.43/4.61 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2))))))),
% 6.43/4.61 inference(monotonicity,[status(thm)],[8272])).
% 6.43/4.61 tff(8274,plain,
% 6.43/4.61 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2))))))),
% 6.43/4.61 inference(transitivity,[status(thm)],[8273, 8271])).
% 6.43/4.61 tff(8275,plain,
% 6.43/4.61 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)))))),
% 6.43/4.61 inference(quant_inst,[status(thm)],[])).
% 6.43/4.61 tff(8276,plain,
% 6.43/4.61 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2)))))),
% 6.43/4.61 inference(modus_ponens,[status(thm)],[8275, 8274])).
% 6.43/4.61 tff(8277,plain,
% 6.43/4.61 (v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2))))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8276, 565])).
% 6.43/4.61 tff(8278,plain,
% 6.43/4.61 ((v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2))) | (~v90(constB45, 1))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8279,plain,
% 6.43/4.61 (v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8278, 8266])).
% 6.43/4.61 tff(8280,plain,
% 6.43/4.61 ((~(v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2)))))) | (~v123(constB45)) | (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2))))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8281,plain,
% 6.43/4.61 (~v123(constB45)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8280, 8279, 8277])).
% 6.43/4.61 tff(8282,plain,
% 6.43/4.61 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB45) <=> (~(v90(constB45, 2) | (~v90(constB45, 1)) | (~v90(constB45, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB45) <=> (~(v90(constB45, 2) | (~v90(constB45, 1)) | (~v90(constB45, 0))))))),
% 6.43/4.61 inference(rewrite,[status(thm)],[])).
% 6.43/4.61 tff(8283,plain,
% 6.43/4.61 ((v122(constB45) <=> (~(v90(constB45, 2) | (~v90(constB45, 0)) | (~v90(constB45, 1))))) <=> (v122(constB45) <=> (~(v90(constB45, 2) | (~v90(constB45, 1)) | (~v90(constB45, 0)))))),
% 6.43/4.61 inference(rewrite,[status(thm)],[])).
% 6.43/4.61 tff(8284,plain,
% 6.43/4.61 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB45) <=> (~(v90(constB45, 2) | (~v90(constB45, 0)) | (~v90(constB45, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB45) <=> (~(v90(constB45, 2) | (~v90(constB45, 1)) | (~v90(constB45, 0))))))),
% 6.43/4.61 inference(monotonicity,[status(thm)],[8283])).
% 6.43/4.61 tff(8285,plain,
% 6.43/4.61 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB45) <=> (~(v90(constB45, 2) | (~v90(constB45, 0)) | (~v90(constB45, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB45) <=> (~(v90(constB45, 2) | (~v90(constB45, 1)) | (~v90(constB45, 0))))))),
% 6.43/4.61 inference(transitivity,[status(thm)],[8284, 8282])).
% 6.43/4.61 tff(8286,plain,
% 6.43/4.61 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB45) <=> (~(v90(constB45, 2) | (~v90(constB45, 0)) | (~v90(constB45, 1)))))),
% 6.43/4.61 inference(quant_inst,[status(thm)],[])).
% 6.43/4.61 tff(8287,plain,
% 6.43/4.61 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB45) <=> (~(v90(constB45, 2) | (~v90(constB45, 1)) | (~v90(constB45, 0)))))),
% 6.43/4.61 inference(modus_ponens,[status(thm)],[8286, 8285])).
% 6.43/4.61 tff(8288,plain,
% 6.43/4.61 (v122(constB45) <=> (~(v90(constB45, 2) | (~v90(constB45, 1)) | (~v90(constB45, 0))))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8287, 644])).
% 6.43/4.61 tff(8289,plain,
% 6.43/4.61 ((v90(constB45, 2) | (~v90(constB45, 1)) | (~v90(constB45, 0))) | (~v90(constB45, 2))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8290,plain,
% 6.43/4.61 (v90(constB45, 2) | (~v90(constB45, 1)) | (~v90(constB45, 0))),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8289, 8237])).
% 6.43/4.61 tff(8291,plain,
% 6.43/4.61 ((~(v122(constB45) <=> (~(v90(constB45, 2) | (~v90(constB45, 1)) | (~v90(constB45, 0)))))) | (~v122(constB45)) | (~(v90(constB45, 2) | (~v90(constB45, 1)) | (~v90(constB45, 0))))),
% 6.43/4.61 inference(tautology,[status(thm)],[])).
% 6.43/4.61 tff(8292,plain,
% 6.43/4.61 (~v122(constB45)),
% 6.43/4.61 inference(unit_resolution,[status(thm)],[8291, 8290, 8288])).
% 6.43/4.61 tff(8293,plain,
% 6.43/4.61 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB45) <=> (~(v90(constB45, 2) | v90(constB45, 0) | (~v90(constB45, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB45) <=> (~(v90(constB45, 2) | v90(constB45, 0) | (~v90(constB45, 1))))))),
% 6.43/4.62 inference(rewrite,[status(thm)],[])).
% 6.43/4.62 tff(8294,plain,
% 6.43/4.62 ((v121(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 2) | (~v90(constB45, 1))))) <=> (v121(constB45) <=> (~(v90(constB45, 2) | v90(constB45, 0) | (~v90(constB45, 1)))))),
% 6.43/4.62 inference(rewrite,[status(thm)],[])).
% 6.43/4.62 tff(8295,plain,
% 6.43/4.62 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 2) | (~v90(constB45, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB45) <=> (~(v90(constB45, 2) | v90(constB45, 0) | (~v90(constB45, 1))))))),
% 6.43/4.62 inference(monotonicity,[status(thm)],[8294])).
% 6.43/4.62 tff(8296,plain,
% 6.43/4.62 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 2) | (~v90(constB45, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB45) <=> (~(v90(constB45, 2) | v90(constB45, 0) | (~v90(constB45, 1))))))),
% 6.43/4.62 inference(transitivity,[status(thm)],[8295, 8293])).
% 6.43/4.62 tff(8297,plain,
% 6.43/4.62 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 2) | (~v90(constB45, 1)))))),
% 6.43/4.62 inference(quant_inst,[status(thm)],[])).
% 6.43/4.62 tff(8298,plain,
% 6.43/4.62 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB45) <=> (~(v90(constB45, 2) | v90(constB45, 0) | (~v90(constB45, 1)))))),
% 6.43/4.62 inference(modus_ponens,[status(thm)],[8297, 8296])).
% 6.43/4.62 tff(8299,plain,
% 6.43/4.62 (v121(constB45) <=> (~(v90(constB45, 2) | v90(constB45, 0) | (~v90(constB45, 1))))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8298, 723])).
% 6.43/4.62 tff(8300,plain,
% 6.43/4.62 ((v90(constB45, 2) | v90(constB45, 0) | (~v90(constB45, 1))) | (~v90(constB45, 2))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8301,plain,
% 6.43/4.62 (v90(constB45, 2) | v90(constB45, 0) | (~v90(constB45, 1))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8300, 8237])).
% 6.43/4.62 tff(8302,plain,
% 6.43/4.62 ((~(v121(constB45) <=> (~(v90(constB45, 2) | v90(constB45, 0) | (~v90(constB45, 1)))))) | (~v121(constB45)) | (~(v90(constB45, 2) | v90(constB45, 0) | (~v90(constB45, 1))))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8303,plain,
% 6.43/4.62 (~v121(constB45)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8302, 8301, 8299])).
% 6.43/4.62 tff(8304,plain,
% 6.43/4.62 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 2) | (~v90(constB45, 0)))))),
% 6.43/4.62 inference(quant_inst,[status(thm)],[])).
% 6.43/4.62 tff(8305,plain,
% 6.43/4.62 (v120(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 2) | (~v90(constB45, 0))))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8304, 417])).
% 6.43/4.62 tff(8306,plain,
% 6.43/4.62 ((v90(constB45, 1) | v90(constB45, 2) | (~v90(constB45, 0))) | (~v90(constB45, 2))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8307,plain,
% 6.43/4.62 (v90(constB45, 1) | v90(constB45, 2) | (~v90(constB45, 0))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8306, 8237])).
% 6.43/4.62 tff(8308,plain,
% 6.43/4.62 ((~(v120(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 2) | (~v90(constB45, 0)))))) | (~v120(constB45)) | (~(v90(constB45, 1) | v90(constB45, 2) | (~v90(constB45, 0))))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8309,plain,
% 6.43/4.62 (~v120(constB45)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8308, 8307, 8305])).
% 6.43/4.62 tff(8310,plain,
% 6.43/4.62 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0)))))),
% 6.43/4.62 inference(rewrite,[status(thm)],[])).
% 6.43/4.62 tff(8311,plain,
% 6.43/4.62 ((v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~(v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0))))) <=> (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0)))))),
% 6.43/4.62 inference(rewrite,[status(thm)],[])).
% 6.43/4.62 tff(8312,plain,
% 6.43/4.62 ((~(v130(constB45, 1) | v130(constB45, 2) | (~v130(constB45, 0)))) <=> (~(v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0))))),
% 6.43/4.62 inference(rewrite,[status(thm)],[])).
% 6.43/4.62 tff(8313,plain,
% 6.43/4.62 ((v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~(v130(constB45, 1) | v130(constB45, 2) | (~v130(constB45, 0))))) <=> (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~(v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0)))))),
% 6.43/4.62 inference(monotonicity,[status(thm)],[8312])).
% 6.43/4.62 tff(8314,plain,
% 6.43/4.62 ((v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~(v130(constB45, 1) | v130(constB45, 2) | (~v130(constB45, 0))))) <=> (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0)))))),
% 6.43/4.62 inference(transitivity,[status(thm)],[8313, 8311])).
% 6.43/4.62 tff(8315,plain,
% 6.43/4.62 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~(v130(constB45, 1) | v130(constB45, 2) | (~v130(constB45, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0))))))),
% 6.43/4.62 inference(monotonicity,[status(thm)],[8314])).
% 6.43/4.62 tff(8316,plain,
% 6.43/4.62 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~(v130(constB45, 1) | v130(constB45, 2) | (~v130(constB45, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0)))))),
% 6.43/4.62 inference(transitivity,[status(thm)],[8315, 8310])).
% 6.43/4.62 tff(8317,plain,
% 6.43/4.62 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~(v130(constB45, 1) | v130(constB45, 2) | (~v130(constB45, 0)))))),
% 6.43/4.62 inference(quant_inst,[status(thm)],[])).
% 6.43/4.62 tff(8318,plain,
% 6.43/4.62 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0))))),
% 6.43/4.62 inference(modus_ponens,[status(thm)],[8317, 8316])).
% 6.43/4.62 tff(8319,plain,
% 6.43/4.62 (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0))))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8318, 5059])).
% 6.43/4.62 tff(8320,plain,
% 6.43/4.62 (~(v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0)))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8319, 8309, 8303, 8292, 8281, 8270, 8241])).
% 6.43/4.62 tff(8321,plain,
% 6.43/4.62 ((v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0))) | (~v130(constB45, 2))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8322,plain,
% 6.43/4.62 (~v130(constB45, 2)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8321, 8320])).
% 6.43/4.62 tff(8323,plain,
% 6.43/4.62 (((~v127(constB45, 2)) <=> v130(constB45, 2)) | (~v127(constB45, 2)) | v130(constB45, 2)),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8324,plain,
% 6.43/4.62 (~v127(constB45, 2)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8323, 8322, 3090])).
% 6.43/4.62 tff(8325,plain,
% 6.43/4.62 (((~v129(constB46, 2)) <=> v127(constB45, 2)) | (~v129(constB46, 2)) | v127(constB45, 2)),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8326,plain,
% 6.43/4.62 (~v129(constB46, 2)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8325, 8324, 3076])).
% 6.43/4.62 tff(8327,plain,
% 6.43/4.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))))),
% 6.43/4.62 inference(rewrite,[status(thm)],[])).
% 6.43/4.62 tff(8328,plain,
% 6.43/4.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))))),
% 6.43/4.62 inference(quant_inst,[status(thm)],[])).
% 6.43/4.62 tff(8329,plain,
% 6.43/4.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46)))))),
% 6.43/4.62 inference(modus_ponens,[status(thm)],[8328, 8327])).
% 6.43/4.62 tff(8330,plain,
% 6.43/4.62 (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8329, 3070, 273])).
% 6.43/4.62 tff(8331,plain,
% 6.43/4.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))),
% 6.43/4.62 inference(rewrite,[status(thm)],[])).
% 6.43/4.62 tff(8332,plain,
% 6.43/4.62 (((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46)))))) <=> ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))),
% 6.43/4.62 inference(rewrite,[status(thm)],[])).
% 6.43/4.62 tff(8333,plain,
% 6.43/4.62 (((~![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) <=> (~((~v1(constB46)) | (~v102(constB46)))))))),
% 6.43/4.62 inference(monotonicity,[status(thm)],[8332])).
% 6.43/4.62 tff(8334,plain,
% 6.43/4.62 (((~![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) <=> (~((~v1(constB46)) | (~v102(constB46))))))),
% 6.43/4.62 inference(transitivity,[status(thm)],[8333, 8331])).
% 6.43/4.62 tff(8335,plain,
% 6.43/4.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46))))))),
% 6.43/4.62 inference(quant_inst,[status(thm)],[])).
% 6.43/4.62 tff(8336,plain,
% 6.43/4.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46)))))),
% 6.43/4.62 inference(modus_ponens,[status(thm)],[8335, 8334])).
% 6.43/4.62 tff(8337,plain,
% 6.43/4.62 (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8336, 3070, 293])).
% 6.43/4.62 tff(8338,plain,
% 6.43/4.62 (((~![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)))),
% 6.43/4.62 inference(rewrite,[status(thm)],[])).
% 6.43/4.62 tff(8339,plain,
% 6.43/4.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46)))),
% 6.43/4.62 inference(quant_inst,[status(thm)],[])).
% 6.43/4.62 tff(8340,plain,
% 6.43/4.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46))),
% 6.43/4.62 inference(modus_ponens,[status(thm)],[8339, 8338])).
% 6.43/4.62 tff(8341,plain,
% 6.43/4.62 ((~v102(constB46)) <=> v104(constB46)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8340, 3070, 4609])).
% 6.43/4.62 tff(8342,plain,
% 6.43/4.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45)))),
% 6.43/4.62 inference(rewrite,[status(thm)],[])).
% 6.43/4.62 tff(8343,plain,
% 6.43/4.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45)))),
% 6.43/4.62 inference(quant_inst,[status(thm)],[])).
% 6.43/4.62 tff(8344,plain,
% 6.43/4.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45))),
% 6.43/4.62 inference(modus_ponens,[status(thm)],[8343, 8342])).
% 6.43/4.62 tff(8345,plain,
% 6.43/4.62 (v104(constB46) <=> v1(constB45)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8344, 3070, 4623])).
% 6.43/4.62 tff(8346,plain,
% 6.43/4.62 ((~(v104(constB46) <=> v1(constB45))) | (~v104(constB46)) | v1(constB45)),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8347,plain,
% 6.43/4.62 ((~(v104(constB46) <=> v1(constB45))) | (~v104(constB46))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8346, 3109])).
% 6.43/4.62 tff(8348,plain,
% 6.43/4.62 (~v104(constB46)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8347, 8345])).
% 6.43/4.62 tff(8349,plain,
% 6.43/4.62 ((~((~v102(constB46)) <=> v104(constB46))) | v102(constB46) | v104(constB46)),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8350,plain,
% 6.43/4.62 (v102(constB46)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8349, 8348, 8341])).
% 6.43/4.62 tff(8351,plain,
% 6.43/4.62 (v1(constB46) <=> v1(constB46)),
% 6.43/4.62 inference(rewrite,[status(thm)],[])).
% 6.43/4.62 tff(8352,axiom,(v1(constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_46')).
% 6.43/4.62 tff(8353,plain,
% 6.43/4.62 (v1(constB46)),
% 6.43/4.62 inference(modus_ponens,[status(thm)],[8352, 8351])).
% 6.43/4.62 tff(8354,plain,
% 6.43/4.62 ((~((~v1(constB46)) | (~v102(constB46)))) | (~v1(constB46)) | (~v102(constB46))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8355,plain,
% 6.43/4.62 ((~((~v1(constB46)) | (~v102(constB46)))) | (~v102(constB46))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8354, 8353])).
% 6.43/4.62 tff(8356,plain,
% 6.43/4.62 (~((~v1(constB46)) | (~v102(constB46)))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8355, 8350])).
% 6.43/4.62 tff(8357,plain,
% 6.43/4.62 ((~(v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46)))))) | v101(constB46) | ((~v1(constB46)) | (~v102(constB46)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8358,plain,
% 6.43/4.62 (v101(constB46)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8357, 8356, 8337])).
% 6.43/4.62 tff(8359,plain,
% 6.43/4.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45)))),
% 6.43/4.62 inference(rewrite,[status(thm)],[])).
% 6.43/4.62 tff(8360,plain,
% 6.43/4.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45)))),
% 6.43/4.62 inference(quant_inst,[status(thm)],[])).
% 6.43/4.62 tff(8361,plain,
% 6.43/4.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45))),
% 6.43/4.62 inference(modus_ponens,[status(thm)],[8360, 8359])).
% 6.43/4.62 tff(8362,plain,
% 6.43/4.62 (v110(constB46) <=> v108(constB45)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8361, 3070, 4650])).
% 6.43/4.62 tff(8363,plain,
% 6.43/4.62 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB45) <=> (v111(constB45) | v112(constB45)))),
% 6.43/4.62 inference(quant_inst,[status(thm)],[])).
% 6.43/4.62 tff(8364,plain,
% 6.43/4.62 (v108(constB45) <=> (v111(constB45) | v112(constB45))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8363, 4661])).
% 6.43/4.62 tff(8365,plain,
% 6.43/4.62 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45)))))),
% 6.43/4.62 inference(quant_inst,[status(thm)],[])).
% 6.43/4.62 tff(8366,plain,
% 6.43/4.62 (v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45))))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8365, 4673])).
% 6.43/4.62 tff(8367,plain,
% 6.43/4.62 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB45) <=> (v114(constB45) | v125(constB45)))),
% 6.43/4.62 inference(quant_inst,[status(thm)],[])).
% 6.43/4.62 tff(8368,plain,
% 6.43/4.62 (v113(constB45) <=> (v114(constB45) | v125(constB45))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8367, 4682])).
% 6.43/4.62 tff(8369,plain,
% 6.43/4.62 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB45) <=> (~(v90(constB45, 0) | (~v90(constB45, 1)) | (~v90(constB45, 2)))))),
% 6.43/4.62 inference(quant_inst,[status(thm)],[])).
% 6.43/4.62 tff(8370,plain,
% 6.43/4.62 (v125(constB45) <=> (~(v90(constB45, 0) | (~v90(constB45, 1)) | (~v90(constB45, 2))))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8369, 5131])).
% 6.43/4.62 tff(8371,plain,
% 6.43/4.62 ((((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0))) | (~((~v90(constB45, 0)) <=> v90(constB44, 0)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8372,plain,
% 6.43/4.62 (~((~v90(constB45, 0)) <=> v90(constB44, 0))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8371, 3126])).
% 6.43/4.62 tff(8373,plain,
% 6.43/4.62 ((((~v129(constB44, 2)) <=> v127(constB43, 2)) | ((~v129(constB44, 1)) <=> v127(constB43, 1)) | ((~v129(constB44, 0)) <=> v127(constB43, 0))) | (~((~v129(constB44, 0)) <=> v127(constB43, 0)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8374,plain,
% 6.43/4.62 (~((~v129(constB44, 0)) <=> v127(constB43, 0))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8373, 3135])).
% 6.43/4.62 tff(8375,plain,
% 6.43/4.62 ((((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0))) | (~((~v127(constB43, 0)) <=> v130(constB43, 0)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8376,plain,
% 6.43/4.62 (~((~v127(constB43, 0)) <=> v130(constB43, 0))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8375, 3149])).
% 6.43/4.62 tff(8377,plain,
% 6.43/4.62 ((v130(constB43, 0) | (~v130(constB43, 2)) | (~v130(constB43, 1))) | (~v130(constB43, 0))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8378,plain,
% 6.43/4.62 (~v130(constB43, 0)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8377, 8142])).
% 6.43/4.62 tff(8379,plain,
% 6.43/4.62 (((~v127(constB43, 0)) <=> v130(constB43, 0)) | (~v127(constB43, 0)) | v130(constB43, 0)),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8380,plain,
% 6.43/4.62 (~v127(constB43, 0)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8379, 8378, 8376])).
% 6.43/4.62 tff(8381,plain,
% 6.43/4.62 (((~v129(constB44, 0)) <=> v127(constB43, 0)) | (~v129(constB44, 0)) | v127(constB43, 0)),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8382,plain,
% 6.43/4.62 (~v129(constB44, 0)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8381, 8380, 8374])).
% 6.43/4.62 tff(8383,plain,
% 6.43/4.62 ((((~v90(constB44, 2)) <=> v129(constB44, 2)) | ((~v90(constB44, 1)) <=> v129(constB44, 1)) | ((~v90(constB44, 0)) <=> v129(constB44, 0))) | (~((~v90(constB44, 0)) <=> v129(constB44, 0)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8384,plain,
% 6.43/4.62 (~((~v90(constB44, 0)) <=> v129(constB44, 0))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8383, 8231])).
% 6.43/4.62 tff(8385,plain,
% 6.43/4.62 (((~v90(constB44, 0)) <=> v129(constB44, 0)) | (~v90(constB44, 0)) | v129(constB44, 0)),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8386,plain,
% 6.43/4.62 (~v90(constB44, 0)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8385, 8384, 8382])).
% 6.43/4.62 tff(8387,plain,
% 6.43/4.62 (((~v90(constB45, 0)) <=> v90(constB44, 0)) | (~v90(constB45, 0)) | v90(constB44, 0)),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8388,plain,
% 6.43/4.62 (~v90(constB45, 0)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8387, 8386, 8372])).
% 6.43/4.62 tff(8389,plain,
% 6.43/4.62 ((~(v90(constB45, 0) | (~v90(constB45, 1)) | (~v90(constB45, 2)))) | v90(constB45, 0) | (~v90(constB45, 1)) | (~v90(constB45, 2))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8390,plain,
% 6.43/4.62 (~(v90(constB45, 0) | (~v90(constB45, 1)) | (~v90(constB45, 2)))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8389, 8266, 8388, 8237])).
% 6.43/4.62 tff(8391,plain,
% 6.43/4.62 ((~(v125(constB45) <=> (~(v90(constB45, 0) | (~v90(constB45, 1)) | (~v90(constB45, 2)))))) | v125(constB45) | (v90(constB45, 0) | (~v90(constB45, 1)) | (~v90(constB45, 2)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8392,plain,
% 6.43/4.62 (v125(constB45)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8391, 8390, 8370])).
% 6.43/4.62 tff(8393,plain,
% 6.43/4.62 ((v114(constB45) | v125(constB45)) | (~v125(constB45))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8394,plain,
% 6.43/4.62 (v114(constB45) | v125(constB45)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8393, 8392])).
% 6.43/4.62 tff(8395,plain,
% 6.43/4.62 ((~(v113(constB45) <=> (v114(constB45) | v125(constB45)))) | v113(constB45) | (~(v114(constB45) | v125(constB45)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8396,plain,
% 6.43/4.62 (v113(constB45)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8395, 8394, 8368])).
% 6.43/4.62 tff(8397,plain,
% 6.43/4.62 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB45)) <=> v111(constB45))),
% 6.43/4.62 inference(quant_inst,[status(thm)],[])).
% 6.43/4.62 tff(8398,plain,
% 6.43/4.62 ((~v126(constB45)) <=> v111(constB45)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8397, 4761])).
% 6.43/4.62 tff(8399,plain,
% 6.43/4.62 ((~((~v126(constB45)) <=> v111(constB45))) | v126(constB45) | v111(constB45)),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8400,plain,
% 6.43/4.62 ((~((~v126(constB45)) <=> v111(constB45))) | v126(constB45)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8399, 3083])).
% 6.43/4.62 tff(8401,plain,
% 6.43/4.62 (v126(constB45)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8400, 8398])).
% 6.43/4.62 tff(8402,plain,
% 6.43/4.62 ((~((~v113(constB45)) | (~v126(constB45)))) | (~v113(constB45)) | (~v126(constB45))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8403,plain,
% 6.43/4.62 ((~((~v113(constB45)) | (~v126(constB45)))) | (~v113(constB45))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8402, 8401])).
% 6.43/4.62 tff(8404,plain,
% 6.43/4.62 (~((~v113(constB45)) | (~v126(constB45)))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8403, 8396])).
% 6.43/4.62 tff(8405,plain,
% 6.43/4.62 ((~(v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45)))))) | v112(constB45) | ((~v113(constB45)) | (~v126(constB45)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8406,plain,
% 6.43/4.62 (v112(constB45)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8405, 8404, 8366])).
% 6.43/4.62 tff(8407,plain,
% 6.43/4.62 ((v111(constB45) | v112(constB45)) | (~v112(constB45))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8408,plain,
% 6.43/4.62 (v111(constB45) | v112(constB45)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8407, 8406])).
% 6.43/4.62 tff(8409,plain,
% 6.43/4.62 ((~(v108(constB45) <=> (v111(constB45) | v112(constB45)))) | v108(constB45) | (~(v111(constB45) | v112(constB45)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8410,plain,
% 6.43/4.62 (v108(constB45)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8409, 8408, 8364])).
% 6.43/4.62 tff(8411,plain,
% 6.43/4.62 ((~(v110(constB46) <=> v108(constB45))) | v110(constB46) | (~v108(constB45))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8412,plain,
% 6.43/4.62 (v110(constB46)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8411, 8410, 8362])).
% 6.43/4.62 tff(8413,plain,
% 6.43/4.62 ((~((~v101(constB46)) | (~v110(constB46)))) | (~v101(constB46)) | (~v110(constB46))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8414,plain,
% 6.43/4.62 (~((~v101(constB46)) | (~v110(constB46)))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8413, 8412, 8358])).
% 6.43/4.62 tff(8415,plain,
% 6.43/4.62 ((~(v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46)))))) | v100(constB46) | ((~v101(constB46)) | (~v110(constB46)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8416,plain,
% 6.43/4.62 (v100(constB46)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8415, 8414, 8330])).
% 6.43/4.62 tff(8417,plain,
% 6.43/4.62 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB46)) | (~(((~v90(constB46, 0)) <=> v129(constB46, 0)) | ((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB46)) | (~(((~v90(constB46, 0)) <=> v129(constB46, 0)) | ((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1)))))),
% 6.43/4.62 inference(rewrite,[status(thm)],[])).
% 6.43/4.62 tff(8418,plain,
% 6.43/4.62 (((~v100(constB46)) | (~(((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1)) | ((~v90(constB46, 0)) <=> v129(constB46, 0))))) <=> ((~v100(constB46)) | (~(((~v90(constB46, 0)) <=> v129(constB46, 0)) | ((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1)))))),
% 6.43/4.62 inference(rewrite,[status(thm)],[])).
% 6.43/4.62 tff(8419,plain,
% 6.43/4.62 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB46)) | (~(((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1)) | ((~v90(constB46, 0)) <=> v129(constB46, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB46)) | (~(((~v90(constB46, 0)) <=> v129(constB46, 0)) | ((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1))))))),
% 6.43/4.62 inference(monotonicity,[status(thm)],[8418])).
% 6.43/4.62 tff(8420,plain,
% 6.43/4.62 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB46)) | (~(((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1)) | ((~v90(constB46, 0)) <=> v129(constB46, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB46)) | (~(((~v90(constB46, 0)) <=> v129(constB46, 0)) | ((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1)))))),
% 6.43/4.62 inference(transitivity,[status(thm)],[8419, 8417])).
% 6.43/4.62 tff(8421,plain,
% 6.43/4.62 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB46)) | (~(((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1)) | ((~v90(constB46, 0)) <=> v129(constB46, 0)))))),
% 6.43/4.62 inference(quant_inst,[status(thm)],[])).
% 6.43/4.62 tff(8422,plain,
% 6.43/4.62 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB46)) | (~(((~v90(constB46, 0)) <=> v129(constB46, 0)) | ((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1))))),
% 6.43/4.62 inference(modus_ponens,[status(thm)],[8421, 8420])).
% 6.43/4.62 tff(8423,plain,
% 6.43/4.62 ((~v100(constB46)) | (~(((~v90(constB46, 0)) <=> v129(constB46, 0)) | ((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1))))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8422, 4794])).
% 6.43/4.62 tff(8424,plain,
% 6.43/4.62 (~(((~v90(constB46, 0)) <=> v129(constB46, 0)) | ((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1)))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8423, 8416])).
% 6.43/4.62 tff(8425,plain,
% 6.43/4.62 ((((~v90(constB46, 0)) <=> v129(constB46, 0)) | ((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1))) | (~((~v90(constB46, 2)) <=> v129(constB46, 2)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8426,plain,
% 6.43/4.62 (~((~v90(constB46, 2)) <=> v129(constB46, 2))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8425, 8424])).
% 6.43/4.62 tff(8427,plain,
% 6.43/4.62 (((~v90(constB46, 2)) <=> v129(constB46, 2)) | (~v90(constB46, 2)) | v129(constB46, 2)),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8428,plain,
% 6.43/4.62 (~v90(constB46, 2)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8427, 8426, 8326])).
% 6.43/4.62 tff(8429,plain,
% 6.43/4.62 (((~v90(constB47, 2)) <=> v90(constB46, 2)) | (~v90(constB47, 2)) | v90(constB46, 2)),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8430,plain,
% 6.43/4.62 (~v90(constB47, 2)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8429, 8428, 3067])).
% 6.43/4.62 tff(8431,plain,
% 6.43/4.62 ((((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0))) | (~((~v90(constB47, 0)) <=> v90(constB46, 0)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8432,plain,
% 6.43/4.62 (~((~v90(constB47, 0)) <=> v90(constB46, 0))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8431, 3065])).
% 6.43/4.62 tff(8433,plain,
% 6.43/4.62 ((((~v129(constB46, 2)) <=> v127(constB45, 2)) | ((~v129(constB46, 1)) <=> v127(constB45, 1)) | ((~v129(constB46, 0)) <=> v127(constB45, 0))) | (~((~v129(constB46, 0)) <=> v127(constB45, 0)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8434,plain,
% 6.43/4.62 (~((~v129(constB46, 0)) <=> v127(constB45, 0))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8433, 3074])).
% 6.43/4.62 tff(8435,plain,
% 6.43/4.62 ((((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0))) | (~((~v127(constB45, 0)) <=> v130(constB45, 0)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8436,plain,
% 6.43/4.62 (~((~v127(constB45, 0)) <=> v130(constB45, 0))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8435, 3088])).
% 6.43/4.62 tff(8437,plain,
% 6.43/4.62 ((v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0))) | v130(constB45, 0)),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8438,plain,
% 6.43/4.62 (v130(constB45, 0)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8437, 8320])).
% 6.43/4.62 tff(8439,plain,
% 6.43/4.62 (((~v127(constB45, 0)) <=> v130(constB45, 0)) | v127(constB45, 0) | (~v130(constB45, 0))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8440,plain,
% 6.43/4.62 (v127(constB45, 0)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8439, 8438, 8436])).
% 6.43/4.62 tff(8441,plain,
% 6.43/4.62 (((~v129(constB46, 0)) <=> v127(constB45, 0)) | v129(constB46, 0) | (~v127(constB45, 0))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8442,plain,
% 6.43/4.62 (v129(constB46, 0)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8441, 8440, 8434])).
% 6.43/4.62 tff(8443,plain,
% 6.43/4.62 ((((~v90(constB46, 0)) <=> v129(constB46, 0)) | ((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1))) | (~((~v90(constB46, 0)) <=> v129(constB46, 0)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8444,plain,
% 6.43/4.62 (~((~v90(constB46, 0)) <=> v129(constB46, 0))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8443, 8424])).
% 6.43/4.62 tff(8445,plain,
% 6.43/4.62 (((~v90(constB46, 0)) <=> v129(constB46, 0)) | v90(constB46, 0) | (~v129(constB46, 0))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8446,plain,
% 6.43/4.62 (v90(constB46, 0)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8445, 8444, 8442])).
% 6.43/4.62 tff(8447,plain,
% 6.43/4.62 (((~v90(constB47, 0)) <=> v90(constB46, 0)) | v90(constB47, 0) | (~v90(constB46, 0))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8448,plain,
% 6.43/4.62 (v90(constB47, 0)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8447, 8446, 8432])).
% 6.43/4.62 tff(8449,plain,
% 6.43/4.62 ((((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0))) | (~((~v90(constB47, 1)) <=> v90(constB46, 1)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8450,plain,
% 6.43/4.62 (~((~v90(constB47, 1)) <=> v90(constB46, 1))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8449, 3065])).
% 6.43/4.62 tff(8451,plain,
% 6.43/4.62 ((((~v129(constB46, 2)) <=> v127(constB45, 2)) | ((~v129(constB46, 1)) <=> v127(constB45, 1)) | ((~v129(constB46, 0)) <=> v127(constB45, 0))) | (~((~v129(constB46, 1)) <=> v127(constB45, 1)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8452,plain,
% 6.43/4.62 (~((~v129(constB46, 1)) <=> v127(constB45, 1))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8451, 3074])).
% 6.43/4.62 tff(8453,plain,
% 6.43/4.62 ((((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0))) | (~((~v127(constB45, 1)) <=> v130(constB45, 1)))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8454,plain,
% 6.43/4.62 (~((~v127(constB45, 1)) <=> v130(constB45, 1))),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8453, 3088])).
% 6.43/4.62 tff(8455,plain,
% 6.43/4.62 ((v130(constB45, 2) | v130(constB45, 1) | (~v130(constB45, 0))) | (~v130(constB45, 1))),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8456,plain,
% 6.43/4.62 (~v130(constB45, 1)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8455, 8320])).
% 6.43/4.62 tff(8457,plain,
% 6.43/4.62 (((~v127(constB45, 1)) <=> v130(constB45, 1)) | (~v127(constB45, 1)) | v130(constB45, 1)),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8458,plain,
% 6.43/4.62 (~v127(constB45, 1)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8457, 8456, 8454])).
% 6.43/4.62 tff(8459,plain,
% 6.43/4.62 (((~v129(constB46, 1)) <=> v127(constB45, 1)) | (~v129(constB46, 1)) | v127(constB45, 1)),
% 6.43/4.62 inference(tautology,[status(thm)],[])).
% 6.43/4.62 tff(8460,plain,
% 6.43/4.62 (~v129(constB46, 1)),
% 6.43/4.62 inference(unit_resolution,[status(thm)],[8459, 8458, 8452])).
% 6.43/4.62 tff(8461,plain,
% 6.43/4.62 ((((~v90(constB46, 0)) <=> v129(constB46, 0)) | ((~v90(constB46, 2)) <=> v129(constB46, 2)) | ((~v90(constB46, 1)) <=> v129(constB46, 1))) | (~((~v90(constB46, 1)) <=> v129(constB46, 1)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8462,plain,
% 6.43/4.63 (~((~v90(constB46, 1)) <=> v129(constB46, 1))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8461, 8424])).
% 6.43/4.63 tff(8463,plain,
% 6.43/4.63 (((~v90(constB46, 1)) <=> v129(constB46, 1)) | (~v90(constB46, 1)) | v129(constB46, 1)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8464,plain,
% 6.43/4.63 (~v90(constB46, 1)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8463, 8462, 8460])).
% 6.43/4.63 tff(8465,plain,
% 6.43/4.63 (((~v90(constB47, 1)) <=> v90(constB46, 1)) | (~v90(constB47, 1)) | v90(constB46, 1)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8466,plain,
% 6.43/4.63 (~v90(constB47, 1)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8465, 8464, 8450])).
% 6.43/4.63 tff(8467,plain,
% 6.43/4.63 ((~(v90(constB47, 1) | v90(constB47, 2) | (~v90(constB47, 0)))) | v90(constB47, 1) | v90(constB47, 2) | (~v90(constB47, 0))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8468,plain,
% 6.43/4.63 (~(v90(constB47, 1) | v90(constB47, 2) | (~v90(constB47, 0)))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8467, 8466, 8448, 8430])).
% 6.43/4.63 tff(8469,plain,
% 6.43/4.63 ((~(v120(constB47) <=> (~(v90(constB47, 1) | v90(constB47, 2) | (~v90(constB47, 0)))))) | v120(constB47) | (v90(constB47, 1) | v90(constB47, 2) | (~v90(constB47, 0)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8470,plain,
% 6.43/4.63 (v120(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8469, 8468, 3031])).
% 6.43/4.63 tff(8471,plain,
% 6.43/4.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB47)) | (~(v130(constB47, 2) | v130(constB47, 0) | (~v130(constB47, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB47)) | (~(v130(constB47, 2) | v130(constB47, 0) | (~v130(constB47, 1)))))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8472,plain,
% 6.43/4.63 (((~v120(constB47)) | (~(v130(constB47, 0) | v130(constB47, 2) | (~v130(constB47, 1))))) <=> ((~v120(constB47)) | (~(v130(constB47, 2) | v130(constB47, 0) | (~v130(constB47, 1)))))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8473,plain,
% 6.43/4.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB47)) | (~(v130(constB47, 0) | v130(constB47, 2) | (~v130(constB47, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB47)) | (~(v130(constB47, 2) | v130(constB47, 0) | (~v130(constB47, 1))))))),
% 6.43/4.63 inference(monotonicity,[status(thm)],[8472])).
% 6.43/4.63 tff(8474,plain,
% 6.43/4.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB47)) | (~(v130(constB47, 0) | v130(constB47, 2) | (~v130(constB47, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB47)) | (~(v130(constB47, 2) | v130(constB47, 0) | (~v130(constB47, 1)))))),
% 6.43/4.63 inference(transitivity,[status(thm)],[8473, 8471])).
% 6.43/4.63 tff(8475,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB47)) | (~(v130(constB47, 0) | v130(constB47, 2) | (~v130(constB47, 1)))))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8476,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB47)) | (~(v130(constB47, 2) | v130(constB47, 0) | (~v130(constB47, 1))))),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8475, 8474])).
% 6.43/4.63 tff(8477,plain,
% 6.43/4.63 ((~v120(constB47)) | (~(v130(constB47, 2) | v130(constB47, 0) | (~v130(constB47, 1))))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8476, 5246])).
% 6.43/4.63 tff(8478,plain,
% 6.43/4.63 (~(v130(constB47, 2) | v130(constB47, 0) | (~v130(constB47, 1)))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8477, 8470])).
% 6.43/4.63 tff(8479,plain,
% 6.43/4.63 ((v130(constB47, 2) | v130(constB47, 0) | (~v130(constB47, 1))) | (~v130(constB47, 2))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8480,plain,
% 6.43/4.63 (~v130(constB47, 2)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8479, 8478])).
% 6.43/4.63 tff(8481,plain,
% 6.43/4.63 (((~v127(constB47, 2)) <=> v130(constB47, 2)) | (~v127(constB47, 2)) | v130(constB47, 2)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8482,plain,
% 6.43/4.63 (~v127(constB47, 2)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8481, 8480, 3029])).
% 6.43/4.63 tff(8483,plain,
% 6.43/4.63 (((~v129(constB48, 2)) <=> v127(constB47, 2)) | (~v129(constB48, 2)) | v127(constB47, 2)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8484,plain,
% 6.43/4.63 (~v129(constB48, 2)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8483, 8482, 3015])).
% 6.43/4.63 tff(8485,plain,
% 6.43/4.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8486,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8487,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48)))))),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8486, 8485])).
% 6.43/4.63 tff(8488,plain,
% 6.43/4.63 (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8487, 3009, 273])).
% 6.43/4.63 tff(8489,plain,
% 6.43/4.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8490,plain,
% 6.43/4.63 (((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48)))))) <=> ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8491,plain,
% 6.43/4.63 (((~![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) <=> (~((~v1(constB48)) | (~v102(constB48)))))))),
% 6.43/4.63 inference(monotonicity,[status(thm)],[8490])).
% 6.43/4.63 tff(8492,plain,
% 6.43/4.63 (((~![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) <=> (~((~v1(constB48)) | (~v102(constB48))))))),
% 6.43/4.63 inference(transitivity,[status(thm)],[8491, 8489])).
% 6.43/4.63 tff(8493,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48))))))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8494,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48)))))),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8493, 8492])).
% 6.43/4.63 tff(8495,plain,
% 6.43/4.63 (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8494, 3009, 293])).
% 6.43/4.63 tff(8496,plain,
% 6.43/4.63 (((~![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)))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8497,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8498,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48))),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8497, 8496])).
% 6.43/4.63 tff(8499,plain,
% 6.43/4.63 ((~v102(constB48)) <=> v104(constB48)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8498, 3009, 4609])).
% 6.43/4.63 tff(8500,plain,
% 6.43/4.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47)))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8501,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8502,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47))),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8501, 8500])).
% 6.43/4.63 tff(8503,plain,
% 6.43/4.63 (v104(constB48) <=> v1(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8502, 3009, 4623])).
% 6.43/4.63 tff(8504,plain,
% 6.43/4.63 ((~(v104(constB48) <=> v1(constB47))) | (~v104(constB48)) | v1(constB47)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8505,plain,
% 6.43/4.63 ((~(v104(constB48) <=> v1(constB47))) | (~v104(constB48))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8504, 3048])).
% 6.43/4.63 tff(8506,plain,
% 6.43/4.63 (~v104(constB48)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8505, 8503])).
% 6.43/4.63 tff(8507,plain,
% 6.43/4.63 ((~((~v102(constB48)) <=> v104(constB48))) | v102(constB48) | v104(constB48)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8508,plain,
% 6.43/4.63 (v102(constB48)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8507, 8506, 8499])).
% 6.43/4.63 tff(8509,plain,
% 6.43/4.63 (v1(constB48) <=> v1(constB48)),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8510,axiom,(v1(constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_48')).
% 6.43/4.63 tff(8511,plain,
% 6.43/4.63 (v1(constB48)),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8510, 8509])).
% 6.43/4.63 tff(8512,plain,
% 6.43/4.63 ((~((~v1(constB48)) | (~v102(constB48)))) | (~v1(constB48)) | (~v102(constB48))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8513,plain,
% 6.43/4.63 ((~((~v1(constB48)) | (~v102(constB48)))) | (~v102(constB48))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8512, 8511])).
% 6.43/4.63 tff(8514,plain,
% 6.43/4.63 (~((~v1(constB48)) | (~v102(constB48)))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8513, 8508])).
% 6.43/4.63 tff(8515,plain,
% 6.43/4.63 ((~(v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48)))))) | v101(constB48) | ((~v1(constB48)) | (~v102(constB48)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8516,plain,
% 6.43/4.63 (v101(constB48)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8515, 8514, 8495])).
% 6.43/4.63 tff(8517,plain,
% 6.43/4.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47)))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8518,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8519,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47))),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8518, 8517])).
% 6.43/4.63 tff(8520,plain,
% 6.43/4.63 (v110(constB48) <=> v108(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8519, 3009, 4650])).
% 6.43/4.63 tff(8521,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB47) <=> (v111(constB47) | v112(constB47)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8522,plain,
% 6.43/4.63 (v108(constB47) <=> (v111(constB47) | v112(constB47))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8521, 4661])).
% 6.43/4.63 tff(8523,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47)))))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8524,plain,
% 6.43/4.63 (v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47))))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8523, 4673])).
% 6.43/4.63 tff(8525,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB47) <=> (v114(constB47) | v125(constB47)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8526,plain,
% 6.43/4.63 (v113(constB47) <=> (v114(constB47) | v125(constB47))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8525, 4682])).
% 6.43/4.63 tff(8527,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB47) <=> (v115(constB47) | v124(constB47)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8528,plain,
% 6.43/4.63 (v114(constB47) <=> (v115(constB47) | v124(constB47))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8527, 4691])).
% 6.43/4.63 tff(8529,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB47) <=> (v116(constB47) | v123(constB47)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8530,plain,
% 6.43/4.63 (v115(constB47) <=> (v116(constB47) | v123(constB47))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8529, 4700])).
% 6.43/4.63 tff(8531,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB47) <=> (v117(constB47) | v122(constB47)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8532,plain,
% 6.43/4.63 (v116(constB47) <=> (v117(constB47) | v122(constB47))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8531, 4709])).
% 6.43/4.63 tff(8533,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB47) <=> (v118(constB47) | v121(constB47)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8534,plain,
% 6.43/4.63 (v117(constB47) <=> (v118(constB47) | v121(constB47))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8533, 4718])).
% 6.43/4.63 tff(8535,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB47) <=> (v119(constB47) | v120(constB47)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8536,plain,
% 6.43/4.63 (v118(constB47) <=> (v119(constB47) | v120(constB47))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8535, 4727])).
% 6.43/4.63 tff(8537,plain,
% 6.43/4.63 ((v119(constB47) | v120(constB47)) | (~v120(constB47))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8538,plain,
% 6.43/4.63 (v119(constB47) | v120(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8537, 8470])).
% 6.43/4.63 tff(8539,plain,
% 6.43/4.63 ((~(v118(constB47) <=> (v119(constB47) | v120(constB47)))) | v118(constB47) | (~(v119(constB47) | v120(constB47)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8540,plain,
% 6.43/4.63 (v118(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8539, 8538, 8536])).
% 6.43/4.63 tff(8541,plain,
% 6.43/4.63 ((v118(constB47) | v121(constB47)) | (~v118(constB47))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8542,plain,
% 6.43/4.63 (v118(constB47) | v121(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8541, 8540])).
% 6.43/4.63 tff(8543,plain,
% 6.43/4.63 ((~(v117(constB47) <=> (v118(constB47) | v121(constB47)))) | v117(constB47) | (~(v118(constB47) | v121(constB47)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8544,plain,
% 6.43/4.63 (v117(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8543, 8542, 8534])).
% 6.43/4.63 tff(8545,plain,
% 6.43/4.63 ((v117(constB47) | v122(constB47)) | (~v117(constB47))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8546,plain,
% 6.43/4.63 (v117(constB47) | v122(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8545, 8544])).
% 6.43/4.63 tff(8547,plain,
% 6.43/4.63 ((~(v116(constB47) <=> (v117(constB47) | v122(constB47)))) | v116(constB47) | (~(v117(constB47) | v122(constB47)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8548,plain,
% 6.43/4.63 (v116(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8547, 8546, 8532])).
% 6.43/4.63 tff(8549,plain,
% 6.43/4.63 ((v116(constB47) | v123(constB47)) | (~v116(constB47))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8550,plain,
% 6.43/4.63 (v116(constB47) | v123(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8549, 8548])).
% 6.43/4.63 tff(8551,plain,
% 6.43/4.63 ((~(v115(constB47) <=> (v116(constB47) | v123(constB47)))) | v115(constB47) | (~(v116(constB47) | v123(constB47)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8552,plain,
% 6.43/4.63 (v115(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8551, 8550, 8530])).
% 6.43/4.63 tff(8553,plain,
% 6.43/4.63 ((v115(constB47) | v124(constB47)) | (~v115(constB47))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8554,plain,
% 6.43/4.63 (v115(constB47) | v124(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8553, 8552])).
% 6.43/4.63 tff(8555,plain,
% 6.43/4.63 ((~(v114(constB47) <=> (v115(constB47) | v124(constB47)))) | v114(constB47) | (~(v115(constB47) | v124(constB47)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8556,plain,
% 6.43/4.63 (v114(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8555, 8554, 8528])).
% 6.43/4.63 tff(8557,plain,
% 6.43/4.63 ((v114(constB47) | v125(constB47)) | (~v114(constB47))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8558,plain,
% 6.43/4.63 (v114(constB47) | v125(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8557, 8556])).
% 6.43/4.63 tff(8559,plain,
% 6.43/4.63 ((~(v113(constB47) <=> (v114(constB47) | v125(constB47)))) | v113(constB47) | (~(v114(constB47) | v125(constB47)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8560,plain,
% 6.43/4.63 (v113(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8559, 8558, 8526])).
% 6.43/4.63 tff(8561,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB47)) <=> v111(constB47))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8562,plain,
% 6.43/4.63 ((~v126(constB47)) <=> v111(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8561, 4761])).
% 6.43/4.63 tff(8563,plain,
% 6.43/4.63 ((~((~v126(constB47)) <=> v111(constB47))) | v126(constB47) | v111(constB47)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8564,plain,
% 6.43/4.63 ((~((~v126(constB47)) <=> v111(constB47))) | v126(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8563, 3022])).
% 6.43/4.63 tff(8565,plain,
% 6.43/4.63 (v126(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8564, 8562])).
% 6.43/4.63 tff(8566,plain,
% 6.43/4.63 ((~((~v113(constB47)) | (~v126(constB47)))) | (~v113(constB47)) | (~v126(constB47))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8567,plain,
% 6.43/4.63 ((~((~v113(constB47)) | (~v126(constB47)))) | (~v113(constB47))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8566, 8565])).
% 6.43/4.63 tff(8568,plain,
% 6.43/4.63 (~((~v113(constB47)) | (~v126(constB47)))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8567, 8560])).
% 6.43/4.63 tff(8569,plain,
% 6.43/4.63 ((~(v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47)))))) | v112(constB47) | ((~v113(constB47)) | (~v126(constB47)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8570,plain,
% 6.43/4.63 (v112(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8569, 8568, 8524])).
% 6.43/4.63 tff(8571,plain,
% 6.43/4.63 ((v111(constB47) | v112(constB47)) | (~v112(constB47))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8572,plain,
% 6.43/4.63 (v111(constB47) | v112(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8571, 8570])).
% 6.43/4.63 tff(8573,plain,
% 6.43/4.63 ((~(v108(constB47) <=> (v111(constB47) | v112(constB47)))) | v108(constB47) | (~(v111(constB47) | v112(constB47)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8574,plain,
% 6.43/4.63 (v108(constB47)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8573, 8572, 8522])).
% 6.43/4.63 tff(8575,plain,
% 6.43/4.63 ((~(v110(constB48) <=> v108(constB47))) | v110(constB48) | (~v108(constB47))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8576,plain,
% 6.43/4.63 (v110(constB48)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8575, 8574, 8520])).
% 6.43/4.63 tff(8577,plain,
% 6.43/4.63 ((~((~v101(constB48)) | (~v110(constB48)))) | (~v101(constB48)) | (~v110(constB48))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8578,plain,
% 6.43/4.63 (~((~v101(constB48)) | (~v110(constB48)))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8577, 8576, 8516])).
% 6.43/4.63 tff(8579,plain,
% 6.43/4.63 ((~(v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48)))))) | v100(constB48) | ((~v101(constB48)) | (~v110(constB48)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8580,plain,
% 6.43/4.63 (v100(constB48)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8579, 8578, 8488])).
% 6.43/4.63 tff(8581,plain,
% 6.43/4.63 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB48)) | (~(((~v90(constB48, 2)) <=> v129(constB48, 2)) | ((~v90(constB48, 1)) <=> v129(constB48, 1)) | ((~v90(constB48, 0)) <=> v129(constB48, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB48)) | (~(((~v90(constB48, 2)) <=> v129(constB48, 2)) | ((~v90(constB48, 1)) <=> v129(constB48, 1)) | ((~v90(constB48, 0)) <=> v129(constB48, 0)))))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8582,plain,
% 6.43/4.63 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB48)) | (~(((~v90(constB48, 2)) <=> v129(constB48, 2)) | ((~v90(constB48, 1)) <=> v129(constB48, 1)) | ((~v90(constB48, 0)) <=> v129(constB48, 0)))))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8583,plain,
% 6.43/4.63 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB48)) | (~(((~v90(constB48, 2)) <=> v129(constB48, 2)) | ((~v90(constB48, 1)) <=> v129(constB48, 1)) | ((~v90(constB48, 0)) <=> v129(constB48, 0))))),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8582, 8581])).
% 6.43/4.63 tff(8584,plain,
% 6.43/4.63 ((~v100(constB48)) | (~(((~v90(constB48, 2)) <=> v129(constB48, 2)) | ((~v90(constB48, 1)) <=> v129(constB48, 1)) | ((~v90(constB48, 0)) <=> v129(constB48, 0))))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8583, 4794])).
% 6.43/4.63 tff(8585,plain,
% 6.43/4.63 (~(((~v90(constB48, 2)) <=> v129(constB48, 2)) | ((~v90(constB48, 1)) <=> v129(constB48, 1)) | ((~v90(constB48, 0)) <=> v129(constB48, 0)))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8584, 8580])).
% 6.43/4.63 tff(8586,plain,
% 6.43/4.63 ((((~v90(constB48, 2)) <=> v129(constB48, 2)) | ((~v90(constB48, 1)) <=> v129(constB48, 1)) | ((~v90(constB48, 0)) <=> v129(constB48, 0))) | (~((~v90(constB48, 2)) <=> v129(constB48, 2)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8587,plain,
% 6.43/4.63 (~((~v90(constB48, 2)) <=> v129(constB48, 2))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8586, 8585])).
% 6.43/4.63 tff(8588,plain,
% 6.43/4.63 (((~v90(constB48, 2)) <=> v129(constB48, 2)) | (~v90(constB48, 2)) | v129(constB48, 2)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8589,plain,
% 6.43/4.63 (~v90(constB48, 2)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8588, 8587, 8484])).
% 6.43/4.63 tff(8590,plain,
% 6.43/4.63 (((~v90(constB49, 2)) <=> v90(constB48, 2)) | (~v90(constB49, 2)) | v90(constB48, 2)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8591,plain,
% 6.43/4.63 (~v90(constB49, 2)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8590, 8589, 3006])).
% 6.43/4.63 tff(8592,plain,
% 6.43/4.63 ((((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0))) | (~((~v90(constB49, 0)) <=> v90(constB48, 0)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8593,plain,
% 6.43/4.63 (~((~v90(constB49, 0)) <=> v90(constB48, 0))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8592, 3004])).
% 6.43/4.63 tff(8594,plain,
% 6.43/4.63 ((((~v129(constB48, 2)) <=> v127(constB47, 2)) | ((~v129(constB48, 1)) <=> v127(constB47, 1)) | ((~v129(constB48, 0)) <=> v127(constB47, 0))) | (~((~v129(constB48, 0)) <=> v127(constB47, 0)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8595,plain,
% 6.43/4.63 (~((~v129(constB48, 0)) <=> v127(constB47, 0))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8594, 3013])).
% 6.43/4.63 tff(8596,plain,
% 6.43/4.63 ((((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0))) | (~((~v127(constB47, 0)) <=> v130(constB47, 0)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8597,plain,
% 6.43/4.63 (~((~v127(constB47, 0)) <=> v130(constB47, 0))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8596, 3027])).
% 6.43/4.63 tff(8598,plain,
% 6.43/4.63 ((v130(constB47, 2) | v130(constB47, 0) | (~v130(constB47, 1))) | (~v130(constB47, 0))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8599,plain,
% 6.43/4.63 (~v130(constB47, 0)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8598, 8478])).
% 6.43/4.63 tff(8600,plain,
% 6.43/4.63 (((~v127(constB47, 0)) <=> v130(constB47, 0)) | (~v127(constB47, 0)) | v130(constB47, 0)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8601,plain,
% 6.43/4.63 (~v127(constB47, 0)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8600, 8599, 8597])).
% 6.43/4.63 tff(8602,plain,
% 6.43/4.63 (((~v129(constB48, 0)) <=> v127(constB47, 0)) | (~v129(constB48, 0)) | v127(constB47, 0)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8603,plain,
% 6.43/4.63 (~v129(constB48, 0)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8602, 8601, 8595])).
% 6.43/4.63 tff(8604,plain,
% 6.43/4.63 ((((~v90(constB48, 2)) <=> v129(constB48, 2)) | ((~v90(constB48, 1)) <=> v129(constB48, 1)) | ((~v90(constB48, 0)) <=> v129(constB48, 0))) | (~((~v90(constB48, 0)) <=> v129(constB48, 0)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8605,plain,
% 6.43/4.63 (~((~v90(constB48, 0)) <=> v129(constB48, 0))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8604, 8585])).
% 6.43/4.63 tff(8606,plain,
% 6.43/4.63 (((~v90(constB48, 0)) <=> v129(constB48, 0)) | (~v90(constB48, 0)) | v129(constB48, 0)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8607,plain,
% 6.43/4.63 (~v90(constB48, 0)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8606, 8605, 8603])).
% 6.43/4.63 tff(8608,plain,
% 6.43/4.63 (((~v90(constB49, 0)) <=> v90(constB48, 0)) | (~v90(constB49, 0)) | v90(constB48, 0)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8609,plain,
% 6.43/4.63 (~v90(constB49, 0)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8608, 8607, 8593])).
% 6.43/4.63 tff(8610,plain,
% 6.43/4.63 ((((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0))) | (~((~v90(constB49, 1)) <=> v90(constB48, 1)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8611,plain,
% 6.43/4.63 (~((~v90(constB49, 1)) <=> v90(constB48, 1))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8610, 3004])).
% 6.43/4.63 tff(8612,plain,
% 6.43/4.63 ((((~v129(constB48, 2)) <=> v127(constB47, 2)) | ((~v129(constB48, 1)) <=> v127(constB47, 1)) | ((~v129(constB48, 0)) <=> v127(constB47, 0))) | (~((~v129(constB48, 1)) <=> v127(constB47, 1)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8613,plain,
% 6.43/4.63 (~((~v129(constB48, 1)) <=> v127(constB47, 1))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8612, 3013])).
% 6.43/4.63 tff(8614,plain,
% 6.43/4.63 ((((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0))) | (~((~v127(constB47, 1)) <=> v130(constB47, 1)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8615,plain,
% 6.43/4.63 (~((~v127(constB47, 1)) <=> v130(constB47, 1))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8614, 3027])).
% 6.43/4.63 tff(8616,plain,
% 6.43/4.63 ((v130(constB47, 2) | v130(constB47, 0) | (~v130(constB47, 1))) | v130(constB47, 1)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8617,plain,
% 6.43/4.63 (v130(constB47, 1)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8616, 8478])).
% 6.43/4.63 tff(8618,plain,
% 6.43/4.63 (((~v127(constB47, 1)) <=> v130(constB47, 1)) | v127(constB47, 1) | (~v130(constB47, 1))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8619,plain,
% 6.43/4.63 (v127(constB47, 1)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8618, 8617, 8615])).
% 6.43/4.63 tff(8620,plain,
% 6.43/4.63 (((~v129(constB48, 1)) <=> v127(constB47, 1)) | v129(constB48, 1) | (~v127(constB47, 1))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8621,plain,
% 6.43/4.63 (v129(constB48, 1)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8620, 8619, 8613])).
% 6.43/4.63 tff(8622,plain,
% 6.43/4.63 ((((~v90(constB48, 2)) <=> v129(constB48, 2)) | ((~v90(constB48, 1)) <=> v129(constB48, 1)) | ((~v90(constB48, 0)) <=> v129(constB48, 0))) | (~((~v90(constB48, 1)) <=> v129(constB48, 1)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8623,plain,
% 6.43/4.63 (~((~v90(constB48, 1)) <=> v129(constB48, 1))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8622, 8585])).
% 6.43/4.63 tff(8624,plain,
% 6.43/4.63 (((~v90(constB48, 1)) <=> v129(constB48, 1)) | v90(constB48, 1) | (~v129(constB48, 1))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8625,plain,
% 6.43/4.63 (v90(constB48, 1)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8624, 8623, 8621])).
% 6.43/4.63 tff(8626,plain,
% 6.43/4.63 (((~v90(constB49, 1)) <=> v90(constB48, 1)) | v90(constB49, 1) | (~v90(constB48, 1))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8627,plain,
% 6.43/4.63 (v90(constB49, 1)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8626, 8625, 8611])).
% 6.43/4.63 tff(8628,plain,
% 6.43/4.63 ((~(v90(constB49, 2) | v90(constB49, 0) | (~v90(constB49, 1)))) | v90(constB49, 2) | v90(constB49, 0) | (~v90(constB49, 1))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8629,plain,
% 6.43/4.63 (~(v90(constB49, 2) | v90(constB49, 0) | (~v90(constB49, 1)))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8628, 8627, 8609, 8591])).
% 6.43/4.63 tff(8630,plain,
% 6.43/4.63 ((~(v121(constB49) <=> (~(v90(constB49, 2) | v90(constB49, 0) | (~v90(constB49, 1)))))) | v121(constB49) | (v90(constB49, 2) | v90(constB49, 0) | (~v90(constB49, 1)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8631,plain,
% 6.43/4.63 (v121(constB49)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8630, 8629, 2970])).
% 6.43/4.63 tff(8632,plain,
% 6.43/4.63 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB49)) | (~(v130(constB49, 2) | (~v130(constB49, 1)) | (~v130(constB49, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB49)) | (~(v130(constB49, 2) | (~v130(constB49, 1)) | (~v130(constB49, 0)))))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8633,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB49)) | (~(v130(constB49, 2) | (~v130(constB49, 1)) | (~v130(constB49, 0)))))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8634,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB49)) | (~(v130(constB49, 2) | (~v130(constB49, 1)) | (~v130(constB49, 0))))),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8633, 8632])).
% 6.43/4.63 tff(8635,plain,
% 6.43/4.63 ((~v121(constB49)) | (~(v130(constB49, 2) | (~v130(constB49, 1)) | (~v130(constB49, 0))))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8634, 5420])).
% 6.43/4.63 tff(8636,plain,
% 6.43/4.63 (~(v130(constB49, 2) | (~v130(constB49, 1)) | (~v130(constB49, 0)))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8635, 8631])).
% 6.43/4.63 tff(8637,plain,
% 6.43/4.63 ((v130(constB49, 2) | (~v130(constB49, 1)) | (~v130(constB49, 0))) | (~v130(constB49, 2))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8638,plain,
% 6.43/4.63 (~v130(constB49, 2)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8637, 8636])).
% 6.43/4.63 tff(8639,plain,
% 6.43/4.63 (((~v127(constB49, 2)) <=> v130(constB49, 2)) | (~v127(constB49, 2)) | v130(constB49, 2)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8640,plain,
% 6.43/4.63 (~v127(constB49, 2)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8639, 8638, 2963])).
% 6.43/4.63 tff(8641,plain,
% 6.43/4.63 (((~v129(constB50, 2)) <=> v127(constB49, 2)) | (~v129(constB50, 2)) | v127(constB49, 2)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8642,plain,
% 6.43/4.63 (~v129(constB50, 2)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8641, 8640, 2949])).
% 6.43/4.63 tff(8643,plain,
% 6.43/4.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8644,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8645,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50)))))),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8644, 8643])).
% 6.43/4.63 tff(8646,plain,
% 6.43/4.63 (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8645, 2943, 273])).
% 6.43/4.63 tff(8647,plain,
% 6.43/4.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8648,plain,
% 6.43/4.63 (((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50)))))) <=> ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8649,plain,
% 6.43/4.63 (((~![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) <=> (~((~v1(constB50)) | (~v102(constB50)))))))),
% 6.43/4.63 inference(monotonicity,[status(thm)],[8648])).
% 6.43/4.63 tff(8650,plain,
% 6.43/4.63 (((~![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) <=> (~((~v1(constB50)) | (~v102(constB50))))))),
% 6.43/4.63 inference(transitivity,[status(thm)],[8649, 8647])).
% 6.43/4.63 tff(8651,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50))))))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8652,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50)))))),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8651, 8650])).
% 6.43/4.63 tff(8653,plain,
% 6.43/4.63 (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8652, 2943, 293])).
% 6.43/4.63 tff(8654,plain,
% 6.43/4.63 (((~![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)))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8655,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8656,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50))),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8655, 8654])).
% 6.43/4.63 tff(8657,plain,
% 6.43/4.63 ((~v102(constB50)) <=> v104(constB50)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8656, 2943, 4609])).
% 6.43/4.63 tff(8658,plain,
% 6.43/4.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49)))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8659,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8660,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49))),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8659, 8658])).
% 6.43/4.63 tff(8661,plain,
% 6.43/4.63 (v104(constB50) <=> v1(constB49)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8660, 2943, 4623])).
% 6.43/4.63 tff(8662,plain,
% 6.43/4.63 ((~(v104(constB50) <=> v1(constB49))) | (~v104(constB50)) | v1(constB49)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8663,plain,
% 6.43/4.63 ((~(v104(constB50) <=> v1(constB49))) | (~v104(constB50))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8662, 2987])).
% 6.43/4.63 tff(8664,plain,
% 6.43/4.63 (~v104(constB50)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8663, 8661])).
% 6.43/4.63 tff(8665,plain,
% 6.43/4.63 ((~((~v102(constB50)) <=> v104(constB50))) | v102(constB50) | v104(constB50)),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8666,plain,
% 6.43/4.63 (v102(constB50)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8665, 8664, 8657])).
% 6.43/4.63 tff(8667,plain,
% 6.43/4.63 (v1(constB50) <=> v1(constB50)),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8668,axiom,(v1(constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_50')).
% 6.43/4.63 tff(8669,plain,
% 6.43/4.63 (v1(constB50)),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8668, 8667])).
% 6.43/4.63 tff(8670,plain,
% 6.43/4.63 ((~((~v1(constB50)) | (~v102(constB50)))) | (~v1(constB50)) | (~v102(constB50))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8671,plain,
% 6.43/4.63 ((~((~v1(constB50)) | (~v102(constB50)))) | (~v102(constB50))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8670, 8669])).
% 6.43/4.63 tff(8672,plain,
% 6.43/4.63 (~((~v1(constB50)) | (~v102(constB50)))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8671, 8666])).
% 6.43/4.63 tff(8673,plain,
% 6.43/4.63 ((~(v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50)))))) | v101(constB50) | ((~v1(constB50)) | (~v102(constB50)))),
% 6.43/4.63 inference(tautology,[status(thm)],[])).
% 6.43/4.63 tff(8674,plain,
% 6.43/4.63 (v101(constB50)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8673, 8672, 8653])).
% 6.43/4.63 tff(8675,plain,
% 6.43/4.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49)))),
% 6.43/4.63 inference(rewrite,[status(thm)],[])).
% 6.43/4.63 tff(8676,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8677,plain,
% 6.43/4.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49))),
% 6.43/4.63 inference(modus_ponens,[status(thm)],[8676, 8675])).
% 6.43/4.63 tff(8678,plain,
% 6.43/4.63 (v110(constB50) <=> v108(constB49)),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8677, 2943, 4650])).
% 6.43/4.63 tff(8679,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB49) <=> (v111(constB49) | v112(constB49)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8680,plain,
% 6.43/4.63 (v108(constB49) <=> (v111(constB49) | v112(constB49))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8679, 4661])).
% 6.43/4.63 tff(8681,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49)))))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8682,plain,
% 6.43/4.63 (v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49))))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8681, 4673])).
% 6.43/4.63 tff(8683,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB49) <=> (v114(constB49) | v125(constB49)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8684,plain,
% 6.43/4.63 (v113(constB49) <=> (v114(constB49) | v125(constB49))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8683, 4682])).
% 6.43/4.63 tff(8685,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB49) <=> (v115(constB49) | v124(constB49)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8686,plain,
% 6.43/4.63 (v114(constB49) <=> (v115(constB49) | v124(constB49))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8685, 4691])).
% 6.43/4.63 tff(8687,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB49) <=> (v116(constB49) | v123(constB49)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8688,plain,
% 6.43/4.63 (v115(constB49) <=> (v116(constB49) | v123(constB49))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8687, 4700])).
% 6.43/4.63 tff(8689,plain,
% 6.43/4.63 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB49) <=> (v117(constB49) | v122(constB49)))),
% 6.43/4.63 inference(quant_inst,[status(thm)],[])).
% 6.43/4.63 tff(8690,plain,
% 6.43/4.63 (v116(constB49) <=> (v117(constB49) | v122(constB49))),
% 6.43/4.63 inference(unit_resolution,[status(thm)],[8689, 4709])).
% 6.43/4.64 tff(8691,plain,
% 6.43/4.64 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB49) <=> (v118(constB49) | v121(constB49)))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8692,plain,
% 6.43/4.64 (v117(constB49) <=> (v118(constB49) | v121(constB49))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8691, 4718])).
% 6.43/4.64 tff(8693,plain,
% 6.43/4.64 ((v118(constB49) | v121(constB49)) | (~v121(constB49))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8694,plain,
% 6.43/4.64 (v118(constB49) | v121(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8693, 8631])).
% 6.43/4.64 tff(8695,plain,
% 6.43/4.64 ((~(v117(constB49) <=> (v118(constB49) | v121(constB49)))) | v117(constB49) | (~(v118(constB49) | v121(constB49)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8696,plain,
% 6.43/4.64 (v117(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8695, 8694, 8692])).
% 6.43/4.64 tff(8697,plain,
% 6.43/4.64 ((v117(constB49) | v122(constB49)) | (~v117(constB49))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8698,plain,
% 6.43/4.64 (v117(constB49) | v122(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8697, 8696])).
% 6.43/4.64 tff(8699,plain,
% 6.43/4.64 ((~(v116(constB49) <=> (v117(constB49) | v122(constB49)))) | v116(constB49) | (~(v117(constB49) | v122(constB49)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8700,plain,
% 6.43/4.64 (v116(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8699, 8698, 8690])).
% 6.43/4.64 tff(8701,plain,
% 6.43/4.64 ((v116(constB49) | v123(constB49)) | (~v116(constB49))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8702,plain,
% 6.43/4.64 (v116(constB49) | v123(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8701, 8700])).
% 6.43/4.64 tff(8703,plain,
% 6.43/4.64 ((~(v115(constB49) <=> (v116(constB49) | v123(constB49)))) | v115(constB49) | (~(v116(constB49) | v123(constB49)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8704,plain,
% 6.43/4.64 (v115(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8703, 8702, 8688])).
% 6.43/4.64 tff(8705,plain,
% 6.43/4.64 ((v115(constB49) | v124(constB49)) | (~v115(constB49))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8706,plain,
% 6.43/4.64 (v115(constB49) | v124(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8705, 8704])).
% 6.43/4.64 tff(8707,plain,
% 6.43/4.64 ((~(v114(constB49) <=> (v115(constB49) | v124(constB49)))) | v114(constB49) | (~(v115(constB49) | v124(constB49)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8708,plain,
% 6.43/4.64 (v114(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8707, 8706, 8686])).
% 6.43/4.64 tff(8709,plain,
% 6.43/4.64 ((v114(constB49) | v125(constB49)) | (~v114(constB49))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8710,plain,
% 6.43/4.64 (v114(constB49) | v125(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8709, 8708])).
% 6.43/4.64 tff(8711,plain,
% 6.43/4.64 ((~(v113(constB49) <=> (v114(constB49) | v125(constB49)))) | v113(constB49) | (~(v114(constB49) | v125(constB49)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8712,plain,
% 6.43/4.64 (v113(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8711, 8710, 8684])).
% 6.43/4.64 tff(8713,plain,
% 6.43/4.64 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB49)) <=> v111(constB49))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8714,plain,
% 6.43/4.64 ((~v126(constB49)) <=> v111(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8713, 4761])).
% 6.43/4.64 tff(8715,plain,
% 6.43/4.64 ((~((~v126(constB49)) <=> v111(constB49))) | v126(constB49) | v111(constB49)),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8716,plain,
% 6.43/4.64 ((~((~v126(constB49)) <=> v111(constB49))) | v126(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8715, 2956])).
% 6.43/4.64 tff(8717,plain,
% 6.43/4.64 (v126(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8716, 8714])).
% 6.43/4.64 tff(8718,plain,
% 6.43/4.64 ((~((~v113(constB49)) | (~v126(constB49)))) | (~v113(constB49)) | (~v126(constB49))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8719,plain,
% 6.43/4.64 ((~((~v113(constB49)) | (~v126(constB49)))) | (~v113(constB49))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8718, 8717])).
% 6.43/4.64 tff(8720,plain,
% 6.43/4.64 (~((~v113(constB49)) | (~v126(constB49)))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8719, 8712])).
% 6.43/4.64 tff(8721,plain,
% 6.43/4.64 ((~(v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49)))))) | v112(constB49) | ((~v113(constB49)) | (~v126(constB49)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8722,plain,
% 6.43/4.64 (v112(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8721, 8720, 8682])).
% 6.43/4.64 tff(8723,plain,
% 6.43/4.64 ((v111(constB49) | v112(constB49)) | (~v112(constB49))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8724,plain,
% 6.43/4.64 (v111(constB49) | v112(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8723, 8722])).
% 6.43/4.64 tff(8725,plain,
% 6.43/4.64 ((~(v108(constB49) <=> (v111(constB49) | v112(constB49)))) | v108(constB49) | (~(v111(constB49) | v112(constB49)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8726,plain,
% 6.43/4.64 (v108(constB49)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8725, 8724, 8680])).
% 6.43/4.64 tff(8727,plain,
% 6.43/4.64 ((~(v110(constB50) <=> v108(constB49))) | v110(constB50) | (~v108(constB49))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8728,plain,
% 6.43/4.64 (v110(constB50)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8727, 8726, 8678])).
% 6.43/4.64 tff(8729,plain,
% 6.43/4.64 ((~((~v101(constB50)) | (~v110(constB50)))) | (~v101(constB50)) | (~v110(constB50))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8730,plain,
% 6.43/4.64 (~((~v101(constB50)) | (~v110(constB50)))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8729, 8728, 8674])).
% 6.43/4.64 tff(8731,plain,
% 6.43/4.64 ((~(v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50)))))) | v100(constB50) | ((~v101(constB50)) | (~v110(constB50)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8732,plain,
% 6.43/4.64 (v100(constB50)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8731, 8730, 8646])).
% 6.43/4.64 tff(8733,plain,
% 6.43/4.64 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB50)) | (~(((~v90(constB50, 0)) <=> v129(constB50, 0)) | ((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB50)) | (~(((~v90(constB50, 0)) <=> v129(constB50, 0)) | ((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1)))))),
% 6.43/4.64 inference(rewrite,[status(thm)],[])).
% 6.43/4.64 tff(8734,plain,
% 6.43/4.64 (((~v100(constB50)) | (~(((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1)) | ((~v90(constB50, 0)) <=> v129(constB50, 0))))) <=> ((~v100(constB50)) | (~(((~v90(constB50, 0)) <=> v129(constB50, 0)) | ((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1)))))),
% 6.43/4.64 inference(rewrite,[status(thm)],[])).
% 6.43/4.64 tff(8735,plain,
% 6.43/4.64 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB50)) | (~(((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1)) | ((~v90(constB50, 0)) <=> v129(constB50, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB50)) | (~(((~v90(constB50, 0)) <=> v129(constB50, 0)) | ((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1))))))),
% 6.43/4.64 inference(monotonicity,[status(thm)],[8734])).
% 6.43/4.64 tff(8736,plain,
% 6.43/4.64 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB50)) | (~(((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1)) | ((~v90(constB50, 0)) <=> v129(constB50, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB50)) | (~(((~v90(constB50, 0)) <=> v129(constB50, 0)) | ((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1)))))),
% 6.43/4.64 inference(transitivity,[status(thm)],[8735, 8733])).
% 6.43/4.64 tff(8737,plain,
% 6.43/4.64 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB50)) | (~(((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1)) | ((~v90(constB50, 0)) <=> v129(constB50, 0)))))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8738,plain,
% 6.43/4.64 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB50)) | (~(((~v90(constB50, 0)) <=> v129(constB50, 0)) | ((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1))))),
% 6.43/4.64 inference(modus_ponens,[status(thm)],[8737, 8736])).
% 6.43/4.64 tff(8739,plain,
% 6.43/4.64 ((~v100(constB50)) | (~(((~v90(constB50, 0)) <=> v129(constB50, 0)) | ((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1))))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8738, 4794])).
% 6.43/4.64 tff(8740,plain,
% 6.43/4.64 (~(((~v90(constB50, 0)) <=> v129(constB50, 0)) | ((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1)))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8739, 8732])).
% 6.43/4.64 tff(8741,plain,
% 6.43/4.64 ((((~v90(constB50, 0)) <=> v129(constB50, 0)) | ((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1))) | (~((~v90(constB50, 2)) <=> v129(constB50, 2)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8742,plain,
% 6.43/4.64 (~((~v90(constB50, 2)) <=> v129(constB50, 2))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8741, 8740])).
% 6.43/4.64 tff(8743,plain,
% 6.43/4.64 (((~v90(constB50, 2)) <=> v129(constB50, 2)) | (~v90(constB50, 2)) | v129(constB50, 2)),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8744,plain,
% 6.43/4.64 (~v90(constB50, 2)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8743, 8742, 8642])).
% 6.43/4.64 tff(8745,plain,
% 6.43/4.64 (((~v90(constB51, 2)) <=> v90(constB50, 2)) | (~v90(constB51, 2)) | v90(constB50, 2)),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8746,plain,
% 6.43/4.64 (~v90(constB51, 2)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8745, 8744, 2940])).
% 6.43/4.64 tff(8747,plain,
% 6.43/4.64 ((((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0))) | (~((~v90(constB51, 0)) <=> v90(constB50, 0)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8748,plain,
% 6.43/4.64 (~((~v90(constB51, 0)) <=> v90(constB50, 0))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8747, 2938])).
% 6.43/4.64 tff(8749,plain,
% 6.43/4.64 ((((~v129(constB50, 2)) <=> v127(constB49, 2)) | ((~v129(constB50, 1)) <=> v127(constB49, 1)) | ((~v129(constB50, 0)) <=> v127(constB49, 0))) | (~((~v129(constB50, 0)) <=> v127(constB49, 0)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8750,plain,
% 6.43/4.64 (~((~v129(constB50, 0)) <=> v127(constB49, 0))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8749, 2947])).
% 6.43/4.64 tff(8751,plain,
% 6.43/4.64 ((((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0))) | (~((~v127(constB49, 0)) <=> v130(constB49, 0)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8752,plain,
% 6.43/4.64 (~((~v127(constB49, 0)) <=> v130(constB49, 0))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8751, 2961])).
% 6.43/4.64 tff(8753,plain,
% 6.43/4.64 ((v130(constB49, 2) | (~v130(constB49, 1)) | (~v130(constB49, 0))) | v130(constB49, 0)),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8754,plain,
% 6.43/4.64 (v130(constB49, 0)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8753, 8636])).
% 6.43/4.64 tff(8755,plain,
% 6.43/4.64 (((~v127(constB49, 0)) <=> v130(constB49, 0)) | v127(constB49, 0) | (~v130(constB49, 0))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8756,plain,
% 6.43/4.64 (v127(constB49, 0)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8755, 8754, 8752])).
% 6.43/4.64 tff(8757,plain,
% 6.43/4.64 (((~v129(constB50, 0)) <=> v127(constB49, 0)) | v129(constB50, 0) | (~v127(constB49, 0))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8758,plain,
% 6.43/4.64 (v129(constB50, 0)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8757, 8756, 8750])).
% 6.43/4.64 tff(8759,plain,
% 6.43/4.64 ((((~v90(constB50, 0)) <=> v129(constB50, 0)) | ((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1))) | (~((~v90(constB50, 0)) <=> v129(constB50, 0)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8760,plain,
% 6.43/4.64 (~((~v90(constB50, 0)) <=> v129(constB50, 0))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8759, 8740])).
% 6.43/4.64 tff(8761,plain,
% 6.43/4.64 (((~v90(constB50, 0)) <=> v129(constB50, 0)) | v90(constB50, 0) | (~v129(constB50, 0))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8762,plain,
% 6.43/4.64 (v90(constB50, 0)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8761, 8760, 8758])).
% 6.43/4.64 tff(8763,plain,
% 6.43/4.64 (((~v90(constB51, 0)) <=> v90(constB50, 0)) | v90(constB51, 0) | (~v90(constB50, 0))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8764,plain,
% 6.43/4.64 (v90(constB51, 0)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8763, 8762, 8748])).
% 6.43/4.64 tff(8765,plain,
% 6.43/4.64 ((((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0))) | (~((~v90(constB51, 1)) <=> v90(constB50, 1)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8766,plain,
% 6.43/4.64 (~((~v90(constB51, 1)) <=> v90(constB50, 1))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8765, 2938])).
% 6.43/4.64 tff(8767,plain,
% 6.43/4.64 ((((~v129(constB50, 2)) <=> v127(constB49, 2)) | ((~v129(constB50, 1)) <=> v127(constB49, 1)) | ((~v129(constB50, 0)) <=> v127(constB49, 0))) | (~((~v129(constB50, 1)) <=> v127(constB49, 1)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8768,plain,
% 6.43/4.64 (~((~v129(constB50, 1)) <=> v127(constB49, 1))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8767, 2947])).
% 6.43/4.64 tff(8769,plain,
% 6.43/4.64 ((((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0))) | (~((~v127(constB49, 1)) <=> v130(constB49, 1)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8770,plain,
% 6.43/4.64 (~((~v127(constB49, 1)) <=> v130(constB49, 1))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8769, 2961])).
% 6.43/4.64 tff(8771,plain,
% 6.43/4.64 ((v130(constB49, 2) | (~v130(constB49, 1)) | (~v130(constB49, 0))) | v130(constB49, 1)),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8772,plain,
% 6.43/4.64 (v130(constB49, 1)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8771, 8636])).
% 6.43/4.64 tff(8773,plain,
% 6.43/4.64 (((~v127(constB49, 1)) <=> v130(constB49, 1)) | v127(constB49, 1) | (~v130(constB49, 1))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8774,plain,
% 6.43/4.64 (v127(constB49, 1)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8773, 8772, 8770])).
% 6.43/4.64 tff(8775,plain,
% 6.43/4.64 (((~v129(constB50, 1)) <=> v127(constB49, 1)) | v129(constB50, 1) | (~v127(constB49, 1))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8776,plain,
% 6.43/4.64 (v129(constB50, 1)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8775, 8774, 8768])).
% 6.43/4.64 tff(8777,plain,
% 6.43/4.64 ((((~v90(constB50, 0)) <=> v129(constB50, 0)) | ((~v90(constB50, 2)) <=> v129(constB50, 2)) | ((~v90(constB50, 1)) <=> v129(constB50, 1))) | (~((~v90(constB50, 1)) <=> v129(constB50, 1)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8778,plain,
% 6.43/4.64 (~((~v90(constB50, 1)) <=> v129(constB50, 1))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8777, 8740])).
% 6.43/4.64 tff(8779,plain,
% 6.43/4.64 (((~v90(constB50, 1)) <=> v129(constB50, 1)) | v90(constB50, 1) | (~v129(constB50, 1))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8780,plain,
% 6.43/4.64 (v90(constB50, 1)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8779, 8778, 8776])).
% 6.43/4.64 tff(8781,plain,
% 6.43/4.64 (((~v90(constB51, 1)) <=> v90(constB50, 1)) | v90(constB51, 1) | (~v90(constB50, 1))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8782,plain,
% 6.43/4.64 (v90(constB51, 1)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8781, 8780, 8766])).
% 6.43/4.64 tff(8783,plain,
% 6.43/4.64 ((~(v90(constB51, 2) | (~v90(constB51, 1)) | (~v90(constB51, 0)))) | v90(constB51, 2) | (~v90(constB51, 1)) | (~v90(constB51, 0))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8784,plain,
% 6.43/4.64 (~(v90(constB51, 2) | (~v90(constB51, 1)) | (~v90(constB51, 0)))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8783, 8782, 8764, 8746])).
% 6.43/4.64 tff(8785,plain,
% 6.43/4.64 ((~(v122(constB51) <=> (~(v90(constB51, 2) | (~v90(constB51, 1)) | (~v90(constB51, 0)))))) | v122(constB51) | (v90(constB51, 2) | (~v90(constB51, 1)) | (~v90(constB51, 0)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8786,plain,
% 6.43/4.64 (v122(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8785, 8784, 2904])).
% 6.43/4.64 tff(8787,plain,
% 6.43/4.64 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB51)) | (~(v130(constB51, 1) | v130(constB51, 0) | (~v130(constB51, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB51)) | (~(v130(constB51, 1) | v130(constB51, 0) | (~v130(constB51, 2)))))),
% 6.43/4.64 inference(rewrite,[status(thm)],[])).
% 6.43/4.64 tff(8788,plain,
% 6.43/4.64 (((~v122(constB51)) | (~(v130(constB51, 0) | v130(constB51, 1) | (~v130(constB51, 2))))) <=> ((~v122(constB51)) | (~(v130(constB51, 1) | v130(constB51, 0) | (~v130(constB51, 2)))))),
% 6.43/4.64 inference(rewrite,[status(thm)],[])).
% 6.43/4.64 tff(8789,plain,
% 6.43/4.64 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB51)) | (~(v130(constB51, 0) | v130(constB51, 1) | (~v130(constB51, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB51)) | (~(v130(constB51, 1) | v130(constB51, 0) | (~v130(constB51, 2))))))),
% 6.43/4.64 inference(monotonicity,[status(thm)],[8788])).
% 6.43/4.64 tff(8790,plain,
% 6.43/4.64 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB51)) | (~(v130(constB51, 0) | v130(constB51, 1) | (~v130(constB51, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB51)) | (~(v130(constB51, 1) | v130(constB51, 0) | (~v130(constB51, 2)))))),
% 6.43/4.64 inference(transitivity,[status(thm)],[8789, 8787])).
% 6.43/4.64 tff(8791,plain,
% 6.43/4.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB51)) | (~(v130(constB51, 0) | v130(constB51, 1) | (~v130(constB51, 2)))))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8792,plain,
% 6.43/4.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB51)) | (~(v130(constB51, 1) | v130(constB51, 0) | (~v130(constB51, 2))))),
% 6.43/4.64 inference(modus_ponens,[status(thm)],[8791, 8790])).
% 6.43/4.64 tff(8793,plain,
% 6.43/4.64 ((~v122(constB51)) | (~(v130(constB51, 1) | v130(constB51, 0) | (~v130(constB51, 2))))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8792, 5588])).
% 6.43/4.64 tff(8794,plain,
% 6.43/4.64 (~(v130(constB51, 1) | v130(constB51, 0) | (~v130(constB51, 2)))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8793, 8786])).
% 6.43/4.64 tff(8795,plain,
% 6.43/4.64 ((v130(constB51, 1) | v130(constB51, 0) | (~v130(constB51, 2))) | v130(constB51, 2)),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8796,plain,
% 6.43/4.64 (v130(constB51, 2)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8795, 8794])).
% 6.43/4.64 tff(8797,plain,
% 6.43/4.64 (((~v127(constB51, 2)) <=> v130(constB51, 2)) | v127(constB51, 2) | (~v130(constB51, 2))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8798,plain,
% 6.43/4.64 (v127(constB51, 2)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8797, 8796, 2897])).
% 6.43/4.64 tff(8799,plain,
% 6.43/4.64 (((~v129(constB52, 2)) <=> v127(constB51, 2)) | v129(constB52, 2) | (~v127(constB51, 2))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8800,plain,
% 6.43/4.64 (v129(constB52, 2)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8799, 8798, 2883])).
% 6.43/4.64 tff(8801,plain,
% 6.43/4.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))))),
% 6.43/4.64 inference(rewrite,[status(thm)],[])).
% 6.43/4.64 tff(8802,plain,
% 6.43/4.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8803,plain,
% 6.43/4.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52)))))),
% 6.43/4.64 inference(modus_ponens,[status(thm)],[8802, 8801])).
% 6.43/4.64 tff(8804,plain,
% 6.43/4.64 (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8803, 2877, 273])).
% 6.43/4.64 tff(8805,plain,
% 6.43/4.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))),
% 6.43/4.64 inference(rewrite,[status(thm)],[])).
% 6.43/4.64 tff(8806,plain,
% 6.43/4.64 (((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52)))))) <=> ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))),
% 6.43/4.64 inference(rewrite,[status(thm)],[])).
% 6.43/4.64 tff(8807,plain,
% 6.43/4.64 (((~![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) <=> (~((~v1(constB52)) | (~v102(constB52)))))))),
% 6.43/4.64 inference(monotonicity,[status(thm)],[8806])).
% 6.43/4.64 tff(8808,plain,
% 6.43/4.64 (((~![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) <=> (~((~v1(constB52)) | (~v102(constB52))))))),
% 6.43/4.64 inference(transitivity,[status(thm)],[8807, 8805])).
% 6.43/4.64 tff(8809,plain,
% 6.43/4.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52))))))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8810,plain,
% 6.43/4.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52)))))),
% 6.43/4.64 inference(modus_ponens,[status(thm)],[8809, 8808])).
% 6.43/4.64 tff(8811,plain,
% 6.43/4.64 (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8810, 2877, 293])).
% 6.43/4.64 tff(8812,plain,
% 6.43/4.64 (((~![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)))),
% 6.43/4.64 inference(rewrite,[status(thm)],[])).
% 6.43/4.64 tff(8813,plain,
% 6.43/4.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52)))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8814,plain,
% 6.43/4.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52))),
% 6.43/4.64 inference(modus_ponens,[status(thm)],[8813, 8812])).
% 6.43/4.64 tff(8815,plain,
% 6.43/4.64 ((~v102(constB52)) <=> v104(constB52)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8814, 2877, 4609])).
% 6.43/4.64 tff(8816,plain,
% 6.43/4.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51)))),
% 6.43/4.64 inference(rewrite,[status(thm)],[])).
% 6.43/4.64 tff(8817,plain,
% 6.43/4.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51)))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8818,plain,
% 6.43/4.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51))),
% 6.43/4.64 inference(modus_ponens,[status(thm)],[8817, 8816])).
% 6.43/4.64 tff(8819,plain,
% 6.43/4.64 (v104(constB52) <=> v1(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8818, 2877, 4623])).
% 6.43/4.64 tff(8820,plain,
% 6.43/4.64 ((~(v104(constB52) <=> v1(constB51))) | (~v104(constB52)) | v1(constB51)),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8821,plain,
% 6.43/4.64 ((~(v104(constB52) <=> v1(constB51))) | (~v104(constB52))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8820, 2921])).
% 6.43/4.64 tff(8822,plain,
% 6.43/4.64 (~v104(constB52)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8821, 8819])).
% 6.43/4.64 tff(8823,plain,
% 6.43/4.64 ((~((~v102(constB52)) <=> v104(constB52))) | v102(constB52) | v104(constB52)),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8824,plain,
% 6.43/4.64 (v102(constB52)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8823, 8822, 8815])).
% 6.43/4.64 tff(8825,plain,
% 6.43/4.64 (v1(constB52) <=> v1(constB52)),
% 6.43/4.64 inference(rewrite,[status(thm)],[])).
% 6.43/4.64 tff(8826,axiom,(v1(constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_52')).
% 6.43/4.64 tff(8827,plain,
% 6.43/4.64 (v1(constB52)),
% 6.43/4.64 inference(modus_ponens,[status(thm)],[8826, 8825])).
% 6.43/4.64 tff(8828,plain,
% 6.43/4.64 ((~((~v1(constB52)) | (~v102(constB52)))) | (~v1(constB52)) | (~v102(constB52))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8829,plain,
% 6.43/4.64 ((~((~v1(constB52)) | (~v102(constB52)))) | (~v102(constB52))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8828, 8827])).
% 6.43/4.64 tff(8830,plain,
% 6.43/4.64 (~((~v1(constB52)) | (~v102(constB52)))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8829, 8824])).
% 6.43/4.64 tff(8831,plain,
% 6.43/4.64 ((~(v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52)))))) | v101(constB52) | ((~v1(constB52)) | (~v102(constB52)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8832,plain,
% 6.43/4.64 (v101(constB52)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8831, 8830, 8811])).
% 6.43/4.64 tff(8833,plain,
% 6.43/4.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51)))),
% 6.43/4.64 inference(rewrite,[status(thm)],[])).
% 6.43/4.64 tff(8834,plain,
% 6.43/4.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51)))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8835,plain,
% 6.43/4.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51))),
% 6.43/4.64 inference(modus_ponens,[status(thm)],[8834, 8833])).
% 6.43/4.64 tff(8836,plain,
% 6.43/4.64 (v110(constB52) <=> v108(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8835, 2877, 4650])).
% 6.43/4.64 tff(8837,plain,
% 6.43/4.64 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB51) <=> (v111(constB51) | v112(constB51)))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8838,plain,
% 6.43/4.64 (v108(constB51) <=> (v111(constB51) | v112(constB51))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8837, 4661])).
% 6.43/4.64 tff(8839,plain,
% 6.43/4.64 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51)))))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8840,plain,
% 6.43/4.64 (v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51))))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8839, 4673])).
% 6.43/4.64 tff(8841,plain,
% 6.43/4.64 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB51) <=> (v114(constB51) | v125(constB51)))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8842,plain,
% 6.43/4.64 (v113(constB51) <=> (v114(constB51) | v125(constB51))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8841, 4682])).
% 6.43/4.64 tff(8843,plain,
% 6.43/4.64 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB51) <=> (v115(constB51) | v124(constB51)))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8844,plain,
% 6.43/4.64 (v114(constB51) <=> (v115(constB51) | v124(constB51))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8843, 4691])).
% 6.43/4.64 tff(8845,plain,
% 6.43/4.64 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB51) <=> (v116(constB51) | v123(constB51)))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8846,plain,
% 6.43/4.64 (v115(constB51) <=> (v116(constB51) | v123(constB51))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8845, 4700])).
% 6.43/4.64 tff(8847,plain,
% 6.43/4.64 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB51) <=> (v117(constB51) | v122(constB51)))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8848,plain,
% 6.43/4.64 (v116(constB51) <=> (v117(constB51) | v122(constB51))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8847, 4709])).
% 6.43/4.64 tff(8849,plain,
% 6.43/4.64 ((v117(constB51) | v122(constB51)) | (~v122(constB51))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8850,plain,
% 6.43/4.64 (v117(constB51) | v122(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8849, 8786])).
% 6.43/4.64 tff(8851,plain,
% 6.43/4.64 ((~(v116(constB51) <=> (v117(constB51) | v122(constB51)))) | v116(constB51) | (~(v117(constB51) | v122(constB51)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8852,plain,
% 6.43/4.64 (v116(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8851, 8850, 8848])).
% 6.43/4.64 tff(8853,plain,
% 6.43/4.64 ((v116(constB51) | v123(constB51)) | (~v116(constB51))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8854,plain,
% 6.43/4.64 (v116(constB51) | v123(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8853, 8852])).
% 6.43/4.64 tff(8855,plain,
% 6.43/4.64 ((~(v115(constB51) <=> (v116(constB51) | v123(constB51)))) | v115(constB51) | (~(v116(constB51) | v123(constB51)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8856,plain,
% 6.43/4.64 (v115(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8855, 8854, 8846])).
% 6.43/4.64 tff(8857,plain,
% 6.43/4.64 ((v115(constB51) | v124(constB51)) | (~v115(constB51))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8858,plain,
% 6.43/4.64 (v115(constB51) | v124(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8857, 8856])).
% 6.43/4.64 tff(8859,plain,
% 6.43/4.64 ((~(v114(constB51) <=> (v115(constB51) | v124(constB51)))) | v114(constB51) | (~(v115(constB51) | v124(constB51)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8860,plain,
% 6.43/4.64 (v114(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8859, 8858, 8844])).
% 6.43/4.64 tff(8861,plain,
% 6.43/4.64 ((v114(constB51) | v125(constB51)) | (~v114(constB51))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8862,plain,
% 6.43/4.64 (v114(constB51) | v125(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8861, 8860])).
% 6.43/4.64 tff(8863,plain,
% 6.43/4.64 ((~(v113(constB51) <=> (v114(constB51) | v125(constB51)))) | v113(constB51) | (~(v114(constB51) | v125(constB51)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8864,plain,
% 6.43/4.64 (v113(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8863, 8862, 8842])).
% 6.43/4.64 tff(8865,plain,
% 6.43/4.64 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB51)) <=> v111(constB51))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8866,plain,
% 6.43/4.64 ((~v126(constB51)) <=> v111(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8865, 4761])).
% 6.43/4.64 tff(8867,plain,
% 6.43/4.64 ((~((~v126(constB51)) <=> v111(constB51))) | v126(constB51) | v111(constB51)),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8868,plain,
% 6.43/4.64 ((~((~v126(constB51)) <=> v111(constB51))) | v126(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8867, 2890])).
% 6.43/4.64 tff(8869,plain,
% 6.43/4.64 (v126(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8868, 8866])).
% 6.43/4.64 tff(8870,plain,
% 6.43/4.64 ((~((~v113(constB51)) | (~v126(constB51)))) | (~v113(constB51)) | (~v126(constB51))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8871,plain,
% 6.43/4.64 ((~((~v113(constB51)) | (~v126(constB51)))) | (~v113(constB51))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8870, 8869])).
% 6.43/4.64 tff(8872,plain,
% 6.43/4.64 (~((~v113(constB51)) | (~v126(constB51)))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8871, 8864])).
% 6.43/4.64 tff(8873,plain,
% 6.43/4.64 ((~(v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51)))))) | v112(constB51) | ((~v113(constB51)) | (~v126(constB51)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8874,plain,
% 6.43/4.64 (v112(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8873, 8872, 8840])).
% 6.43/4.64 tff(8875,plain,
% 6.43/4.64 ((v111(constB51) | v112(constB51)) | (~v112(constB51))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8876,plain,
% 6.43/4.64 (v111(constB51) | v112(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8875, 8874])).
% 6.43/4.64 tff(8877,plain,
% 6.43/4.64 ((~(v108(constB51) <=> (v111(constB51) | v112(constB51)))) | v108(constB51) | (~(v111(constB51) | v112(constB51)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8878,plain,
% 6.43/4.64 (v108(constB51)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8877, 8876, 8838])).
% 6.43/4.64 tff(8879,plain,
% 6.43/4.64 ((~(v110(constB52) <=> v108(constB51))) | v110(constB52) | (~v108(constB51))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8880,plain,
% 6.43/4.64 (v110(constB52)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8879, 8878, 8836])).
% 6.43/4.64 tff(8881,plain,
% 6.43/4.64 ((~((~v101(constB52)) | (~v110(constB52)))) | (~v101(constB52)) | (~v110(constB52))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8882,plain,
% 6.43/4.64 (~((~v101(constB52)) | (~v110(constB52)))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8881, 8880, 8832])).
% 6.43/4.64 tff(8883,plain,
% 6.43/4.64 ((~(v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52)))))) | v100(constB52) | ((~v101(constB52)) | (~v110(constB52)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8884,plain,
% 6.43/4.64 (v100(constB52)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8883, 8882, 8804])).
% 6.43/4.64 tff(8885,plain,
% 6.43/4.64 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB52)) | (~(((~v90(constB52, 2)) <=> v129(constB52, 2)) | ((~v90(constB52, 1)) <=> v129(constB52, 1)) | ((~v90(constB52, 0)) <=> v129(constB52, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB52)) | (~(((~v90(constB52, 2)) <=> v129(constB52, 2)) | ((~v90(constB52, 1)) <=> v129(constB52, 1)) | ((~v90(constB52, 0)) <=> v129(constB52, 0)))))),
% 6.43/4.64 inference(rewrite,[status(thm)],[])).
% 6.43/4.64 tff(8886,plain,
% 6.43/4.64 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB52)) | (~(((~v90(constB52, 2)) <=> v129(constB52, 2)) | ((~v90(constB52, 1)) <=> v129(constB52, 1)) | ((~v90(constB52, 0)) <=> v129(constB52, 0)))))),
% 6.43/4.64 inference(quant_inst,[status(thm)],[])).
% 6.43/4.64 tff(8887,plain,
% 6.43/4.64 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB52)) | (~(((~v90(constB52, 2)) <=> v129(constB52, 2)) | ((~v90(constB52, 1)) <=> v129(constB52, 1)) | ((~v90(constB52, 0)) <=> v129(constB52, 0))))),
% 6.43/4.64 inference(modus_ponens,[status(thm)],[8886, 8885])).
% 6.43/4.64 tff(8888,plain,
% 6.43/4.64 ((~v100(constB52)) | (~(((~v90(constB52, 2)) <=> v129(constB52, 2)) | ((~v90(constB52, 1)) <=> v129(constB52, 1)) | ((~v90(constB52, 0)) <=> v129(constB52, 0))))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8887, 4794])).
% 6.43/4.64 tff(8889,plain,
% 6.43/4.64 (~(((~v90(constB52, 2)) <=> v129(constB52, 2)) | ((~v90(constB52, 1)) <=> v129(constB52, 1)) | ((~v90(constB52, 0)) <=> v129(constB52, 0)))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8888, 8884])).
% 6.43/4.64 tff(8890,plain,
% 6.43/4.64 ((((~v90(constB52, 2)) <=> v129(constB52, 2)) | ((~v90(constB52, 1)) <=> v129(constB52, 1)) | ((~v90(constB52, 0)) <=> v129(constB52, 0))) | (~((~v90(constB52, 2)) <=> v129(constB52, 2)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8891,plain,
% 6.43/4.64 (~((~v90(constB52, 2)) <=> v129(constB52, 2))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8890, 8889])).
% 6.43/4.64 tff(8892,plain,
% 6.43/4.64 (((~v90(constB52, 2)) <=> v129(constB52, 2)) | v90(constB52, 2) | (~v129(constB52, 2))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8893,plain,
% 6.43/4.64 (v90(constB52, 2)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8892, 8891, 8800])).
% 6.43/4.64 tff(8894,plain,
% 6.43/4.64 (((~v90(constB53, 2)) <=> v90(constB52, 2)) | v90(constB53, 2) | (~v90(constB52, 2))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8895,plain,
% 6.43/4.64 (v90(constB53, 2)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8894, 8893, 2874])).
% 6.43/4.64 tff(8896,plain,
% 6.43/4.64 ((((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0))) | (~((~v90(constB53, 0)) <=> v90(constB52, 0)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8897,plain,
% 6.43/4.64 (~((~v90(constB53, 0)) <=> v90(constB52, 0))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8896, 2872])).
% 6.43/4.64 tff(8898,plain,
% 6.43/4.64 ((((~v129(constB52, 2)) <=> v127(constB51, 2)) | ((~v129(constB52, 1)) <=> v127(constB51, 1)) | ((~v129(constB52, 0)) <=> v127(constB51, 0))) | (~((~v129(constB52, 0)) <=> v127(constB51, 0)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8899,plain,
% 6.43/4.64 (~((~v129(constB52, 0)) <=> v127(constB51, 0))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8898, 2881])).
% 6.43/4.64 tff(8900,plain,
% 6.43/4.64 ((((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0))) | (~((~v127(constB51, 0)) <=> v130(constB51, 0)))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8901,plain,
% 6.43/4.64 (~((~v127(constB51, 0)) <=> v130(constB51, 0))),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8900, 2895])).
% 6.43/4.64 tff(8902,plain,
% 6.43/4.64 ((v130(constB51, 1) | v130(constB51, 0) | (~v130(constB51, 2))) | (~v130(constB51, 0))),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8903,plain,
% 6.43/4.64 (~v130(constB51, 0)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8902, 8794])).
% 6.43/4.64 tff(8904,plain,
% 6.43/4.64 (((~v127(constB51, 0)) <=> v130(constB51, 0)) | (~v127(constB51, 0)) | v130(constB51, 0)),
% 6.43/4.64 inference(tautology,[status(thm)],[])).
% 6.43/4.64 tff(8905,plain,
% 6.43/4.64 (~v127(constB51, 0)),
% 6.43/4.64 inference(unit_resolution,[status(thm)],[8904, 8903, 8901])).
% 6.43/4.64 tff(8906,plain,
% 6.43/4.65 (((~v129(constB52, 0)) <=> v127(constB51, 0)) | (~v129(constB52, 0)) | v127(constB51, 0)),
% 6.43/4.65 inference(tautology,[status(thm)],[])).
% 6.43/4.65 tff(8907,plain,
% 6.43/4.65 (~v129(constB52, 0)),
% 6.43/4.65 inference(unit_resolution,[status(thm)],[8906, 8905, 8899])).
% 6.43/4.65 tff(8908,plain,
% 6.43/4.65 ((((~v90(constB52, 2)) <=> v129(constB52, 2)) | ((~v90(constB52, 1)) <=> v129(constB52, 1)) | ((~v90(constB52, 0)) <=> v129(constB52, 0))) | (~((~v90(constB52, 0)) <=> v129(constB52, 0)))),
% 6.43/4.65 inference(tautology,[status(thm)],[])).
% 6.43/4.65 tff(8909,plain,
% 6.43/4.65 (~((~v90(constB52, 0)) <=> v129(constB52, 0))),
% 6.43/4.65 inference(unit_resolution,[status(thm)],[8908, 8889])).
% 6.43/4.65 tff(8910,plain,
% 6.43/4.65 (((~v90(constB52, 0)) <=> v129(constB52, 0)) | (~v90(constB52, 0)) | v129(constB52, 0)),
% 6.43/4.65 inference(tautology,[status(thm)],[])).
% 6.43/4.65 tff(8911,plain,
% 6.43/4.65 (~v90(constB52, 0)),
% 6.43/4.65 inference(unit_resolution,[status(thm)],[8910, 8909, 8907])).
% 6.43/4.65 tff(8912,plain,
% 6.43/4.65 (((~v90(constB53, 0)) <=> v90(constB52, 0)) | (~v90(constB53, 0)) | v90(constB52, 0)),
% 6.43/4.65 inference(tautology,[status(thm)],[])).
% 6.43/4.65 tff(8913,plain,
% 6.43/4.65 (~v90(constB53, 0)),
% 6.43/4.65 inference(unit_resolution,[status(thm)],[8912, 8911, 8897])).
% 6.43/4.65 tff(8914,plain,
% 6.43/4.65 ((((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0))) | (~((~v90(constB53, 1)) <=> v90(constB52, 1)))),
% 6.43/4.65 inference(tautology,[status(thm)],[])).
% 6.43/4.65 tff(8915,plain,
% 6.43/4.65 (~((~v90(constB53, 1)) <=> v90(constB52, 1))),
% 6.43/4.65 inference(unit_resolution,[status(thm)],[8914, 2872])).
% 6.43/4.65 tff(8916,plain,
% 6.43/4.65 ((((~v129(constB52, 2)) <=> v127(constB51, 2)) | ((~v129(constB52, 1)) <=> v127(constB51, 1)) | ((~v129(constB52, 0)) <=> v127(constB51, 0))) | (~((~v129(constB52, 1)) <=> v127(constB51, 1)))),
% 6.43/4.65 inference(tautology,[status(thm)],[])).
% 6.43/4.65 tff(8917,plain,
% 6.43/4.65 (~((~v129(constB52, 1)) <=> v127(constB51, 1))),
% 6.43/4.65 inference(unit_resolution,[status(thm)],[8916, 2881])).
% 6.43/4.65 tff(8918,plain,
% 6.43/4.65 ((((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0))) | (~((~v127(constB51, 1)) <=> v130(constB51, 1)))),
% 6.43/4.65 inference(tautology,[status(thm)],[])).
% 6.43/4.65 tff(8919,plain,
% 6.43/4.65 (~((~v127(constB51, 1)) <=> v130(constB51, 1))),
% 6.43/4.65 inference(unit_resolution,[status(thm)],[8918, 2895])).
% 6.43/4.65 tff(8920,plain,
% 6.43/4.65 ((v130(constB51, 1) | v130(constB51, 0) | (~v130(constB51, 2))) | (~v130(constB51, 1))),
% 6.43/4.65 inference(tautology,[status(thm)],[])).
% 6.43/4.65 tff(8921,plain,
% 6.43/4.65 (~v130(constB51, 1)),
% 6.43/4.65 inference(unit_resolution,[status(thm)],[8920, 8794])).
% 6.43/4.65 tff(8922,plain,
% 6.43/4.65 (((~v127(constB51, 1)) <=> v130(constB51, 1)) | (~v127(constB51, 1)) | v130(constB51, 1)),
% 6.43/4.65 inference(tautology,[status(thm)],[])).
% 6.43/4.65 tff(8923,plain,
% 6.43/4.65 (~v127(constB51, 1)),
% 6.43/4.65 inference(unit_resolution,[status(thm)],[8922, 8921, 8919])).
% 6.43/4.65 tff(8924,plain,
% 6.43/4.65 (((~v129(constB52, 1)) <=> v127(constB51, 1)) | (~v129(constB52, 1)) | v127(constB51, 1)),
% 6.43/4.65 inference(tautology,[status(thm)],[])).
% 6.43/4.65 tff(8925,plain,
% 6.43/4.65 (~v129(constB52, 1)),
% 6.43/4.65 inference(unit_resolution,[status(thm)],[8924, 8923, 8917])).
% 6.43/4.65 tff(8926,plain,
% 6.43/4.65 ((((~v90(constB52, 2)) <=> v129(constB52, 2)) | ((~v90(constB52, 1)) <=> v129(constB52, 1)) | ((~v90(constB52, 0)) <=> v129(constB52, 0))) | (~((~v90(constB52, 1)) <=> v129(constB52, 1)))),
% 6.43/4.65 inference(tautology,[status(thm)],[])).
% 6.43/4.65 tff(8927,plain,
% 6.43/4.65 (~((~v90(constB52, 1)) <=> v129(constB52, 1))),
% 6.43/4.65 inference(unit_resolution,[status(thm)],[8926, 8889])).
% 6.43/4.65 tff(8928,plain,
% 6.43/4.65 (((~v90(constB52, 1)) <=> v129(constB52, 1)) | (~v90(constB52, 1)) | v129(constB52, 1)),
% 6.43/4.65 inference(tautology,[status(thm)],[])).
% 6.43/4.65 tff(8929,plain,
% 6.43/4.65 (~v90(constB52, 1)),
% 6.43/4.65 inference(unit_resolution,[status(thm)],[8928, 8927, 8925])).
% 6.43/4.65 tff(8930,plain,
% 6.43/4.65 (((~v90(constB53, 1)) <=> v90(constB52, 1)) | (~v90(constB53, 1)) | v90(constB52, 1)),
% 6.43/4.65 inference(tautology,[status(thm)],[])).
% 6.43/4.65 tff(8931,plain,
% 6.43/4.65 (~v90(constB53, 1)),
% 6.43/4.65 inference(unit_resolution,[status(thm)],[8930, 8929, 8915])).
% 6.43/4.65 tff(8932,plain,
% 6.43/4.65 ((~(v90(constB53, 1) | v90(constB53, 0) | (~v90(constB53, 2)))) | v90(constB53, 1) | v90(constB53, 0) | (~v90(constB53, 2))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(8933,plain,
% 6.46/4.65 (~(v90(constB53, 1) | v90(constB53, 0) | (~v90(constB53, 2)))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8932, 8931, 8913, 8895])).
% 6.46/4.65 tff(8934,plain,
% 6.46/4.65 ((~(v123(constB53) <=> (~(v90(constB53, 1) | v90(constB53, 0) | (~v90(constB53, 2)))))) | v123(constB53) | (v90(constB53, 1) | v90(constB53, 0) | (~v90(constB53, 2)))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(8935,plain,
% 6.46/4.65 (v123(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8934, 8933, 2838])).
% 6.46/4.65 tff(8936,plain,
% 6.46/4.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB53)) | (~(v130(constB53, 0) | (~v130(constB53, 2)) | (~v130(constB53, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB53)) | (~(v130(constB53, 0) | (~v130(constB53, 2)) | (~v130(constB53, 1)))))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(8937,plain,
% 6.46/4.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB53)) | (~(v130(constB53, 0) | (~v130(constB53, 2)) | (~v130(constB53, 1)))))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(8938,plain,
% 6.46/4.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB53)) | (~(v130(constB53, 0) | (~v130(constB53, 2)) | (~v130(constB53, 1))))),
% 6.46/4.65 inference(modus_ponens,[status(thm)],[8937, 8936])).
% 6.46/4.65 tff(8939,plain,
% 6.46/4.65 ((~v123(constB53)) | (~(v130(constB53, 0) | (~v130(constB53, 2)) | (~v130(constB53, 1))))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8938, 4861])).
% 6.46/4.65 tff(8940,plain,
% 6.46/4.65 (~(v130(constB53, 0) | (~v130(constB53, 2)) | (~v130(constB53, 1)))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8939, 8935])).
% 6.46/4.65 tff(8941,plain,
% 6.46/4.65 ((v130(constB53, 0) | (~v130(constB53, 2)) | (~v130(constB53, 1))) | (~v130(constB53, 0))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(8942,plain,
% 6.46/4.65 (~v130(constB53, 0)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8941, 8940])).
% 6.46/4.65 tff(8943,plain,
% 6.46/4.65 (((~v127(constB53, 0)) <=> v130(constB53, 0)) | (~v127(constB53, 0)) | v130(constB53, 0)),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(8944,plain,
% 6.46/4.65 (~v127(constB53, 0)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8943, 8942, 2831])).
% 6.46/4.65 tff(8945,plain,
% 6.46/4.65 (((~v129(constB54, 0)) <=> v127(constB53, 0)) | (~v129(constB54, 0)) | v127(constB53, 0)),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(8946,plain,
% 6.46/4.65 (~v129(constB54, 0)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8945, 8944, 2817])).
% 6.46/4.65 tff(8947,plain,
% 6.46/4.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(8948,plain,
% 6.46/4.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(8949,plain,
% 6.46/4.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54)))))),
% 6.46/4.65 inference(modus_ponens,[status(thm)],[8948, 8947])).
% 6.46/4.65 tff(8950,plain,
% 6.46/4.65 (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8949, 2811, 273])).
% 6.46/4.65 tff(8951,plain,
% 6.46/4.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(8952,plain,
% 6.46/4.65 (((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54)))))) <=> ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(8953,plain,
% 6.46/4.65 (((~![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) <=> (~((~v1(constB54)) | (~v102(constB54)))))))),
% 6.46/4.65 inference(monotonicity,[status(thm)],[8952])).
% 6.46/4.65 tff(8954,plain,
% 6.46/4.65 (((~![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) <=> (~((~v1(constB54)) | (~v102(constB54))))))),
% 6.46/4.65 inference(transitivity,[status(thm)],[8953, 8951])).
% 6.46/4.65 tff(8955,plain,
% 6.46/4.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54))))))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(8956,plain,
% 6.46/4.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54)))))),
% 6.46/4.65 inference(modus_ponens,[status(thm)],[8955, 8954])).
% 6.46/4.65 tff(8957,plain,
% 6.46/4.65 (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8956, 2811, 293])).
% 6.46/4.65 tff(8958,plain,
% 6.46/4.65 (((~![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)))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(8959,plain,
% 6.46/4.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54)))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(8960,plain,
% 6.46/4.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54))),
% 6.46/4.65 inference(modus_ponens,[status(thm)],[8959, 8958])).
% 6.46/4.65 tff(8961,plain,
% 6.46/4.65 ((~v102(constB54)) <=> v104(constB54)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8960, 2811, 4609])).
% 6.46/4.65 tff(8962,plain,
% 6.46/4.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53)))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(8963,plain,
% 6.46/4.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53)))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(8964,plain,
% 6.46/4.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53))),
% 6.46/4.65 inference(modus_ponens,[status(thm)],[8963, 8962])).
% 6.46/4.65 tff(8965,plain,
% 6.46/4.65 (v104(constB54) <=> v1(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8964, 2811, 4623])).
% 6.46/4.65 tff(8966,plain,
% 6.46/4.65 ((~(v104(constB54) <=> v1(constB53))) | (~v104(constB54)) | v1(constB53)),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(8967,plain,
% 6.46/4.65 ((~(v104(constB54) <=> v1(constB53))) | (~v104(constB54))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8966, 2855])).
% 6.46/4.65 tff(8968,plain,
% 6.46/4.65 (~v104(constB54)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8967, 8965])).
% 6.46/4.65 tff(8969,plain,
% 6.46/4.65 ((~((~v102(constB54)) <=> v104(constB54))) | v102(constB54) | v104(constB54)),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(8970,plain,
% 6.46/4.65 (v102(constB54)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8969, 8968, 8961])).
% 6.46/4.65 tff(8971,plain,
% 6.46/4.65 (v1(constB54) <=> v1(constB54)),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(8972,axiom,(v1(constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_54')).
% 6.46/4.65 tff(8973,plain,
% 6.46/4.65 (v1(constB54)),
% 6.46/4.65 inference(modus_ponens,[status(thm)],[8972, 8971])).
% 6.46/4.65 tff(8974,plain,
% 6.46/4.65 ((~((~v1(constB54)) | (~v102(constB54)))) | (~v1(constB54)) | (~v102(constB54))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(8975,plain,
% 6.46/4.65 ((~((~v1(constB54)) | (~v102(constB54)))) | (~v102(constB54))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8974, 8973])).
% 6.46/4.65 tff(8976,plain,
% 6.46/4.65 (~((~v1(constB54)) | (~v102(constB54)))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8975, 8970])).
% 6.46/4.65 tff(8977,plain,
% 6.46/4.65 ((~(v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54)))))) | v101(constB54) | ((~v1(constB54)) | (~v102(constB54)))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(8978,plain,
% 6.46/4.65 (v101(constB54)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8977, 8976, 8957])).
% 6.46/4.65 tff(8979,plain,
% 6.46/4.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53)))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(8980,plain,
% 6.46/4.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53)))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(8981,plain,
% 6.46/4.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53))),
% 6.46/4.65 inference(modus_ponens,[status(thm)],[8980, 8979])).
% 6.46/4.65 tff(8982,plain,
% 6.46/4.65 (v110(constB54) <=> v108(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8981, 2811, 4650])).
% 6.46/4.65 tff(8983,plain,
% 6.46/4.65 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB53) <=> (v111(constB53) | v112(constB53)))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(8984,plain,
% 6.46/4.65 (v108(constB53) <=> (v111(constB53) | v112(constB53))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8983, 4661])).
% 6.46/4.65 tff(8985,plain,
% 6.46/4.65 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53)))))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(8986,plain,
% 6.46/4.65 (v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53))))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8985, 4673])).
% 6.46/4.65 tff(8987,plain,
% 6.46/4.65 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB53) <=> (v114(constB53) | v125(constB53)))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(8988,plain,
% 6.46/4.65 (v113(constB53) <=> (v114(constB53) | v125(constB53))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8987, 4682])).
% 6.46/4.65 tff(8989,plain,
% 6.46/4.65 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB53) <=> (v115(constB53) | v124(constB53)))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(8990,plain,
% 6.46/4.65 (v114(constB53) <=> (v115(constB53) | v124(constB53))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8989, 4691])).
% 6.46/4.65 tff(8991,plain,
% 6.46/4.65 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB53) <=> (v116(constB53) | v123(constB53)))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(8992,plain,
% 6.46/4.65 (v115(constB53) <=> (v116(constB53) | v123(constB53))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8991, 4700])).
% 6.46/4.65 tff(8993,plain,
% 6.46/4.65 ((v116(constB53) | v123(constB53)) | (~v123(constB53))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(8994,plain,
% 6.46/4.65 (v116(constB53) | v123(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8993, 8935])).
% 6.46/4.65 tff(8995,plain,
% 6.46/4.65 ((~(v115(constB53) <=> (v116(constB53) | v123(constB53)))) | v115(constB53) | (~(v116(constB53) | v123(constB53)))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(8996,plain,
% 6.46/4.65 (v115(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8995, 8994, 8992])).
% 6.46/4.65 tff(8997,plain,
% 6.46/4.65 ((v115(constB53) | v124(constB53)) | (~v115(constB53))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(8998,plain,
% 6.46/4.65 (v115(constB53) | v124(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8997, 8996])).
% 6.46/4.65 tff(8999,plain,
% 6.46/4.65 ((~(v114(constB53) <=> (v115(constB53) | v124(constB53)))) | v114(constB53) | (~(v115(constB53) | v124(constB53)))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9000,plain,
% 6.46/4.65 (v114(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[8999, 8998, 8990])).
% 6.46/4.65 tff(9001,plain,
% 6.46/4.65 ((v114(constB53) | v125(constB53)) | (~v114(constB53))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9002,plain,
% 6.46/4.65 (v114(constB53) | v125(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9001, 9000])).
% 6.46/4.65 tff(9003,plain,
% 6.46/4.65 ((~(v113(constB53) <=> (v114(constB53) | v125(constB53)))) | v113(constB53) | (~(v114(constB53) | v125(constB53)))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9004,plain,
% 6.46/4.65 (v113(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9003, 9002, 8988])).
% 6.46/4.65 tff(9005,plain,
% 6.46/4.65 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB53)) <=> v111(constB53))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(9006,plain,
% 6.46/4.65 ((~v126(constB53)) <=> v111(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9005, 4761])).
% 6.46/4.65 tff(9007,plain,
% 6.46/4.65 ((~((~v126(constB53)) <=> v111(constB53))) | v126(constB53) | v111(constB53)),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9008,plain,
% 6.46/4.65 ((~((~v126(constB53)) <=> v111(constB53))) | v126(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9007, 2824])).
% 6.46/4.65 tff(9009,plain,
% 6.46/4.65 (v126(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9008, 9006])).
% 6.46/4.65 tff(9010,plain,
% 6.46/4.65 ((~((~v113(constB53)) | (~v126(constB53)))) | (~v113(constB53)) | (~v126(constB53))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9011,plain,
% 6.46/4.65 ((~((~v113(constB53)) | (~v126(constB53)))) | (~v113(constB53))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9010, 9009])).
% 6.46/4.65 tff(9012,plain,
% 6.46/4.65 (~((~v113(constB53)) | (~v126(constB53)))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9011, 9004])).
% 6.46/4.65 tff(9013,plain,
% 6.46/4.65 ((~(v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53)))))) | v112(constB53) | ((~v113(constB53)) | (~v126(constB53)))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9014,plain,
% 6.46/4.65 (v112(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9013, 9012, 8986])).
% 6.46/4.65 tff(9015,plain,
% 6.46/4.65 ((v111(constB53) | v112(constB53)) | (~v112(constB53))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9016,plain,
% 6.46/4.65 (v111(constB53) | v112(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9015, 9014])).
% 6.46/4.65 tff(9017,plain,
% 6.46/4.65 ((~(v108(constB53) <=> (v111(constB53) | v112(constB53)))) | v108(constB53) | (~(v111(constB53) | v112(constB53)))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9018,plain,
% 6.46/4.65 (v108(constB53)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9017, 9016, 8984])).
% 6.46/4.65 tff(9019,plain,
% 6.46/4.65 ((~(v110(constB54) <=> v108(constB53))) | v110(constB54) | (~v108(constB53))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9020,plain,
% 6.46/4.65 (v110(constB54)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9019, 9018, 8982])).
% 6.46/4.65 tff(9021,plain,
% 6.46/4.65 ((~((~v101(constB54)) | (~v110(constB54)))) | (~v101(constB54)) | (~v110(constB54))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9022,plain,
% 6.46/4.65 (~((~v101(constB54)) | (~v110(constB54)))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9021, 9020, 8978])).
% 6.46/4.65 tff(9023,plain,
% 6.46/4.65 ((~(v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54)))))) | v100(constB54) | ((~v101(constB54)) | (~v110(constB54)))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9024,plain,
% 6.46/4.65 (v100(constB54)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9023, 9022, 8950])).
% 6.46/4.65 tff(9025,plain,
% 6.46/4.65 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB54)) | (~(((~v90(constB54, 0)) <=> v129(constB54, 0)) | ((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB54)) | (~(((~v90(constB54, 0)) <=> v129(constB54, 0)) | ((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1)))))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(9026,plain,
% 6.46/4.65 (((~v100(constB54)) | (~(((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1)) | ((~v90(constB54, 0)) <=> v129(constB54, 0))))) <=> ((~v100(constB54)) | (~(((~v90(constB54, 0)) <=> v129(constB54, 0)) | ((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1)))))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(9027,plain,
% 6.46/4.65 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB54)) | (~(((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1)) | ((~v90(constB54, 0)) <=> v129(constB54, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB54)) | (~(((~v90(constB54, 0)) <=> v129(constB54, 0)) | ((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1))))))),
% 6.46/4.65 inference(monotonicity,[status(thm)],[9026])).
% 6.46/4.65 tff(9028,plain,
% 6.46/4.65 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB54)) | (~(((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1)) | ((~v90(constB54, 0)) <=> v129(constB54, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB54)) | (~(((~v90(constB54, 0)) <=> v129(constB54, 0)) | ((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1)))))),
% 6.46/4.65 inference(transitivity,[status(thm)],[9027, 9025])).
% 6.46/4.65 tff(9029,plain,
% 6.46/4.65 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB54)) | (~(((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1)) | ((~v90(constB54, 0)) <=> v129(constB54, 0)))))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(9030,plain,
% 6.46/4.65 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB54)) | (~(((~v90(constB54, 0)) <=> v129(constB54, 0)) | ((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1))))),
% 6.46/4.65 inference(modus_ponens,[status(thm)],[9029, 9028])).
% 6.46/4.65 tff(9031,plain,
% 6.46/4.65 ((~v100(constB54)) | (~(((~v90(constB54, 0)) <=> v129(constB54, 0)) | ((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1))))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9030, 4794])).
% 6.46/4.65 tff(9032,plain,
% 6.46/4.65 (~(((~v90(constB54, 0)) <=> v129(constB54, 0)) | ((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1)))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9031, 9024])).
% 6.46/4.65 tff(9033,plain,
% 6.46/4.65 ((((~v90(constB54, 0)) <=> v129(constB54, 0)) | ((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1))) | (~((~v90(constB54, 0)) <=> v129(constB54, 0)))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9034,plain,
% 6.46/4.65 (~((~v90(constB54, 0)) <=> v129(constB54, 0))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9033, 9032])).
% 6.46/4.65 tff(9035,plain,
% 6.46/4.65 (((~v90(constB54, 0)) <=> v129(constB54, 0)) | (~v90(constB54, 0)) | v129(constB54, 0)),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9036,plain,
% 6.46/4.65 (~v90(constB54, 0)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9035, 9034, 8946])).
% 6.46/4.65 tff(9037,plain,
% 6.46/4.65 (((~v90(constB55, 0)) <=> v90(constB54, 0)) | (~v90(constB55, 0)) | v90(constB54, 0)),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9038,plain,
% 6.46/4.65 (~v90(constB55, 0)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9037, 9036, 2808])).
% 6.46/4.65 tff(9039,plain,
% 6.46/4.65 ((v90(constB55, 1) | v90(constB55, 2) | (~v90(constB55, 0))) | v90(constB55, 0)),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9040,plain,
% 6.46/4.65 (v90(constB55, 1) | v90(constB55, 2) | (~v90(constB55, 0))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9039, 9038])).
% 6.46/4.65 tff(9041,plain,
% 6.46/4.65 ((~(v120(constB55) <=> (~(v90(constB55, 1) | v90(constB55, 2) | (~v90(constB55, 0)))))) | (~v120(constB55)) | (~(v90(constB55, 1) | v90(constB55, 2) | (~v90(constB55, 0))))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9042,plain,
% 6.46/4.65 (~v120(constB55)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9041, 9040, 2772])).
% 6.46/4.65 tff(9043,plain,
% 6.46/4.65 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB55) <=> (~(v90(constB55, 1) | (~v90(constB55, 2)) | (~v90(constB55, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB55) <=> (~(v90(constB55, 1) | (~v90(constB55, 2)) | (~v90(constB55, 0))))))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(9044,plain,
% 6.46/4.65 ((v124(constB55) <=> (~(v90(constB55, 1) | (~v90(constB55, 0)) | (~v90(constB55, 2))))) <=> (v124(constB55) <=> (~(v90(constB55, 1) | (~v90(constB55, 2)) | (~v90(constB55, 0)))))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(9045,plain,
% 6.46/4.65 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB55) <=> (~(v90(constB55, 1) | (~v90(constB55, 0)) | (~v90(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB55) <=> (~(v90(constB55, 1) | (~v90(constB55, 2)) | (~v90(constB55, 0))))))),
% 6.46/4.65 inference(monotonicity,[status(thm)],[9044])).
% 6.46/4.65 tff(9046,plain,
% 6.46/4.65 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB55) <=> (~(v90(constB55, 1) | (~v90(constB55, 0)) | (~v90(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB55) <=> (~(v90(constB55, 1) | (~v90(constB55, 2)) | (~v90(constB55, 0))))))),
% 6.46/4.65 inference(transitivity,[status(thm)],[9045, 9043])).
% 6.46/4.65 tff(9047,plain,
% 6.46/4.65 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB55) <=> (~(v90(constB55, 1) | (~v90(constB55, 0)) | (~v90(constB55, 2)))))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(9048,plain,
% 6.46/4.65 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB55) <=> (~(v90(constB55, 1) | (~v90(constB55, 2)) | (~v90(constB55, 0)))))),
% 6.46/4.65 inference(modus_ponens,[status(thm)],[9047, 9046])).
% 6.46/4.65 tff(9049,plain,
% 6.46/4.65 (v124(constB55) <=> (~(v90(constB55, 1) | (~v90(constB55, 2)) | (~v90(constB55, 0))))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9048, 4978])).
% 6.46/4.65 tff(9050,plain,
% 6.46/4.65 ((v90(constB55, 1) | (~v90(constB55, 2)) | (~v90(constB55, 0))) | v90(constB55, 0)),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9051,plain,
% 6.46/4.65 (v90(constB55, 1) | (~v90(constB55, 2)) | (~v90(constB55, 0))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9050, 9038])).
% 6.46/4.65 tff(9052,plain,
% 6.46/4.65 ((~(v124(constB55) <=> (~(v90(constB55, 1) | (~v90(constB55, 2)) | (~v90(constB55, 0)))))) | (~v124(constB55)) | (~(v90(constB55, 1) | (~v90(constB55, 2)) | (~v90(constB55, 0))))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9053,plain,
% 6.46/4.65 (~v124(constB55)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9052, 9051, 9049])).
% 6.46/4.65 tff(9054,plain,
% 6.46/4.65 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB55) <=> (~(v90(constB55, 1) | v90(constB55, 0) | (~v90(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB55) <=> (~(v90(constB55, 1) | v90(constB55, 0) | (~v90(constB55, 2))))))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(9055,plain,
% 6.46/4.65 ((v123(constB55) <=> (~(v90(constB55, 0) | v90(constB55, 1) | (~v90(constB55, 2))))) <=> (v123(constB55) <=> (~(v90(constB55, 1) | v90(constB55, 0) | (~v90(constB55, 2)))))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(9056,plain,
% 6.46/4.65 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB55) <=> (~(v90(constB55, 0) | v90(constB55, 1) | (~v90(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB55) <=> (~(v90(constB55, 1) | v90(constB55, 0) | (~v90(constB55, 2))))))),
% 6.46/4.65 inference(monotonicity,[status(thm)],[9055])).
% 6.46/4.65 tff(9057,plain,
% 6.46/4.65 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB55) <=> (~(v90(constB55, 0) | v90(constB55, 1) | (~v90(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB55) <=> (~(v90(constB55, 1) | v90(constB55, 0) | (~v90(constB55, 2))))))),
% 6.46/4.65 inference(transitivity,[status(thm)],[9056, 9054])).
% 6.46/4.65 tff(9058,plain,
% 6.46/4.65 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB55) <=> (~(v90(constB55, 0) | v90(constB55, 1) | (~v90(constB55, 2)))))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(9059,plain,
% 6.46/4.65 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB55) <=> (~(v90(constB55, 1) | v90(constB55, 0) | (~v90(constB55, 2)))))),
% 6.46/4.65 inference(modus_ponens,[status(thm)],[9058, 9057])).
% 6.46/4.65 tff(9060,plain,
% 6.46/4.65 (v123(constB55) <=> (~(v90(constB55, 1) | v90(constB55, 0) | (~v90(constB55, 2))))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9059, 565])).
% 6.46/4.65 tff(9061,plain,
% 6.46/4.65 ((((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0))) | (~((~v90(constB55, 1)) <=> v90(constB54, 1)))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9062,plain,
% 6.46/4.65 (~((~v90(constB55, 1)) <=> v90(constB54, 1))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9061, 2806])).
% 6.46/4.65 tff(9063,plain,
% 6.46/4.65 ((((~v129(constB54, 2)) <=> v127(constB53, 2)) | ((~v129(constB54, 1)) <=> v127(constB53, 1)) | ((~v129(constB54, 0)) <=> v127(constB53, 0))) | (~((~v129(constB54, 1)) <=> v127(constB53, 1)))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9064,plain,
% 6.46/4.65 (~((~v129(constB54, 1)) <=> v127(constB53, 1))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9063, 2815])).
% 6.46/4.65 tff(9065,plain,
% 6.46/4.65 ((((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0))) | (~((~v127(constB53, 1)) <=> v130(constB53, 1)))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9066,plain,
% 6.46/4.65 (~((~v127(constB53, 1)) <=> v130(constB53, 1))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9065, 2829])).
% 6.46/4.65 tff(9067,plain,
% 6.46/4.65 ((v130(constB53, 0) | (~v130(constB53, 2)) | (~v130(constB53, 1))) | v130(constB53, 1)),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9068,plain,
% 6.46/4.65 (v130(constB53, 1)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9067, 8940])).
% 6.46/4.65 tff(9069,plain,
% 6.46/4.65 (((~v127(constB53, 1)) <=> v130(constB53, 1)) | v127(constB53, 1) | (~v130(constB53, 1))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9070,plain,
% 6.46/4.65 (v127(constB53, 1)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9069, 9068, 9066])).
% 6.46/4.65 tff(9071,plain,
% 6.46/4.65 (((~v129(constB54, 1)) <=> v127(constB53, 1)) | v129(constB54, 1) | (~v127(constB53, 1))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9072,plain,
% 6.46/4.65 (v129(constB54, 1)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9071, 9070, 9064])).
% 6.46/4.65 tff(9073,plain,
% 6.46/4.65 ((((~v90(constB54, 0)) <=> v129(constB54, 0)) | ((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1))) | (~((~v90(constB54, 1)) <=> v129(constB54, 1)))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9074,plain,
% 6.46/4.65 (~((~v90(constB54, 1)) <=> v129(constB54, 1))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9073, 9032])).
% 6.46/4.65 tff(9075,plain,
% 6.46/4.65 (((~v90(constB54, 1)) <=> v129(constB54, 1)) | v90(constB54, 1) | (~v129(constB54, 1))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9076,plain,
% 6.46/4.65 (v90(constB54, 1)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9075, 9074, 9072])).
% 6.46/4.65 tff(9077,plain,
% 6.46/4.65 (((~v90(constB55, 1)) <=> v90(constB54, 1)) | v90(constB55, 1) | (~v90(constB54, 1))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9078,plain,
% 6.46/4.65 (v90(constB55, 1)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9077, 9076, 9062])).
% 6.46/4.65 tff(9079,plain,
% 6.46/4.65 ((v90(constB55, 1) | v90(constB55, 0) | (~v90(constB55, 2))) | (~v90(constB55, 1))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9080,plain,
% 6.46/4.65 (v90(constB55, 1) | v90(constB55, 0) | (~v90(constB55, 2))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9079, 9078])).
% 6.46/4.65 tff(9081,plain,
% 6.46/4.65 ((~(v123(constB55) <=> (~(v90(constB55, 1) | v90(constB55, 0) | (~v90(constB55, 2)))))) | (~v123(constB55)) | (~(v90(constB55, 1) | v90(constB55, 0) | (~v90(constB55, 2))))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9082,plain,
% 6.46/4.65 (~v123(constB55)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9081, 9080, 9060])).
% 6.46/4.65 tff(9083,plain,
% 6.46/4.65 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0))))))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(9084,plain,
% 6.46/4.65 ((v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 0)) | (~v90(constB55, 1))))) <=> (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0)))))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(9085,plain,
% 6.46/4.65 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 0)) | (~v90(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0))))))),
% 6.46/4.65 inference(monotonicity,[status(thm)],[9084])).
% 6.46/4.65 tff(9086,plain,
% 6.46/4.65 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 0)) | (~v90(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0))))))),
% 6.46/4.65 inference(transitivity,[status(thm)],[9085, 9083])).
% 6.46/4.65 tff(9087,plain,
% 6.46/4.65 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 0)) | (~v90(constB55, 1)))))),
% 6.46/4.65 inference(quant_inst,[status(thm)],[])).
% 6.46/4.65 tff(9088,plain,
% 6.46/4.65 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0)))))),
% 6.46/4.65 inference(modus_ponens,[status(thm)],[9087, 9086])).
% 6.46/4.65 tff(9089,plain,
% 6.46/4.65 (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0))))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9088, 644])).
% 6.46/4.65 tff(9090,plain,
% 6.46/4.65 ((v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0))) | v90(constB55, 0)),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9091,plain,
% 6.46/4.65 (v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0))),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9090, 9038])).
% 6.46/4.65 tff(9092,plain,
% 6.46/4.65 ((~(v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0)))))) | (~v122(constB55)) | (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0))))),
% 6.46/4.65 inference(tautology,[status(thm)],[])).
% 6.46/4.65 tff(9093,plain,
% 6.46/4.65 (~v122(constB55)),
% 6.46/4.65 inference(unit_resolution,[status(thm)],[9092, 9091, 9089])).
% 6.46/4.65 tff(9094,plain,
% 6.46/4.65 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB55) <=> (~(v90(constB55, 2) | v90(constB55, 0) | (~v90(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB55) <=> (~(v90(constB55, 2) | v90(constB55, 0) | (~v90(constB55, 1))))))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(9095,plain,
% 6.46/4.65 ((v121(constB55) <=> (~(v90(constB55, 0) | v90(constB55, 2) | (~v90(constB55, 1))))) <=> (v121(constB55) <=> (~(v90(constB55, 2) | v90(constB55, 0) | (~v90(constB55, 1)))))),
% 6.46/4.65 inference(rewrite,[status(thm)],[])).
% 6.46/4.65 tff(9096,plain,
% 6.46/4.65 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB55) <=> (~(v90(constB55, 0) | v90(constB55, 2) | (~v90(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB55) <=> (~(v90(constB55, 2) | v90(constB55, 0) | (~v90(constB55, 1))))))),
% 6.46/4.65 inference(monotonicity,[status(thm)],[9095])).
% 6.46/4.65 tff(9097,plain,
% 6.46/4.65 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB55) <=> (~(v90(constB55, 0) | v90(constB55, 2) | (~v90(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB55) <=> (~(v90(constB55, 2) | v90(constB55, 0) | (~v90(constB55, 1))))))),
% 6.46/4.66 inference(transitivity,[status(thm)],[9096, 9094])).
% 6.46/4.66 tff(9098,plain,
% 6.46/4.66 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB55) <=> (~(v90(constB55, 0) | v90(constB55, 2) | (~v90(constB55, 1)))))),
% 6.46/4.66 inference(quant_inst,[status(thm)],[])).
% 6.46/4.66 tff(9099,plain,
% 6.46/4.66 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB55) <=> (~(v90(constB55, 2) | v90(constB55, 0) | (~v90(constB55, 1)))))),
% 6.46/4.66 inference(modus_ponens,[status(thm)],[9098, 9097])).
% 6.46/4.66 tff(9100,plain,
% 6.46/4.66 (v121(constB55) <=> (~(v90(constB55, 2) | v90(constB55, 0) | (~v90(constB55, 1))))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9099, 723])).
% 6.46/4.66 tff(9101,plain,
% 6.46/4.66 ((((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0))) | (~((~v90(constB55, 2)) <=> v90(constB54, 2)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9102,plain,
% 6.46/4.66 (~((~v90(constB55, 2)) <=> v90(constB54, 2))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9101, 2806])).
% 6.46/4.66 tff(9103,plain,
% 6.46/4.66 ((((~v129(constB54, 2)) <=> v127(constB53, 2)) | ((~v129(constB54, 1)) <=> v127(constB53, 1)) | ((~v129(constB54, 0)) <=> v127(constB53, 0))) | (~((~v129(constB54, 2)) <=> v127(constB53, 2)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9104,plain,
% 6.46/4.66 (~((~v129(constB54, 2)) <=> v127(constB53, 2))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9103, 2815])).
% 6.46/4.66 tff(9105,plain,
% 6.46/4.66 ((((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0))) | (~((~v127(constB53, 2)) <=> v130(constB53, 2)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9106,plain,
% 6.46/4.66 (~((~v127(constB53, 2)) <=> v130(constB53, 2))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9105, 2829])).
% 6.46/4.66 tff(9107,plain,
% 6.46/4.66 ((v130(constB53, 0) | (~v130(constB53, 2)) | (~v130(constB53, 1))) | v130(constB53, 2)),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9108,plain,
% 6.46/4.66 (v130(constB53, 2)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9107, 8940])).
% 6.46/4.66 tff(9109,plain,
% 6.46/4.66 (((~v127(constB53, 2)) <=> v130(constB53, 2)) | v127(constB53, 2) | (~v130(constB53, 2))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9110,plain,
% 6.46/4.66 (v127(constB53, 2)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9109, 9108, 9106])).
% 6.46/4.66 tff(9111,plain,
% 6.46/4.66 (((~v129(constB54, 2)) <=> v127(constB53, 2)) | v129(constB54, 2) | (~v127(constB53, 2))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9112,plain,
% 6.46/4.66 (v129(constB54, 2)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9111, 9110, 9104])).
% 6.46/4.66 tff(9113,plain,
% 6.46/4.66 ((((~v90(constB54, 0)) <=> v129(constB54, 0)) | ((~v90(constB54, 2)) <=> v129(constB54, 2)) | ((~v90(constB54, 1)) <=> v129(constB54, 1))) | (~((~v90(constB54, 2)) <=> v129(constB54, 2)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9114,plain,
% 6.46/4.66 (~((~v90(constB54, 2)) <=> v129(constB54, 2))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9113, 9032])).
% 6.46/4.66 tff(9115,plain,
% 6.46/4.66 (((~v90(constB54, 2)) <=> v129(constB54, 2)) | v90(constB54, 2) | (~v129(constB54, 2))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9116,plain,
% 6.46/4.66 (v90(constB54, 2)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9115, 9114, 9112])).
% 6.46/4.66 tff(9117,plain,
% 6.46/4.66 (((~v90(constB55, 2)) <=> v90(constB54, 2)) | v90(constB55, 2) | (~v90(constB54, 2))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9118,plain,
% 6.46/4.66 (v90(constB55, 2)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9117, 9116, 9102])).
% 6.46/4.66 tff(9119,plain,
% 6.46/4.66 ((v90(constB55, 2) | v90(constB55, 0) | (~v90(constB55, 1))) | (~v90(constB55, 2))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9120,plain,
% 6.46/4.66 (v90(constB55, 2) | v90(constB55, 0) | (~v90(constB55, 1))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9119, 9118])).
% 6.46/4.66 tff(9121,plain,
% 6.46/4.66 ((~(v121(constB55) <=> (~(v90(constB55, 2) | v90(constB55, 0) | (~v90(constB55, 1)))))) | (~v121(constB55)) | (~(v90(constB55, 2) | v90(constB55, 0) | (~v90(constB55, 1))))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9122,plain,
% 6.46/4.66 (~v121(constB55)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9121, 9120, 9100])).
% 6.46/4.66 tff(9123,plain,
% 6.46/4.66 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB55) <=> (~(v90(constB55, 0) | v90(constB55, 1) | v90(constB55, 2))))),
% 6.46/4.66 inference(quant_inst,[status(thm)],[])).
% 6.46/4.66 tff(9124,plain,
% 6.46/4.66 (v119(constB55) <=> (~(v90(constB55, 0) | v90(constB55, 1) | v90(constB55, 2)))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9123, 491])).
% 6.46/4.66 tff(9125,plain,
% 6.46/4.66 ((v90(constB55, 0) | v90(constB55, 1) | v90(constB55, 2)) | (~v90(constB55, 2))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9126,plain,
% 6.46/4.66 (v90(constB55, 0) | v90(constB55, 1) | v90(constB55, 2)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9125, 9118])).
% 6.46/4.66 tff(9127,plain,
% 6.46/4.66 ((~(v119(constB55) <=> (~(v90(constB55, 0) | v90(constB55, 1) | v90(constB55, 2))))) | (~v119(constB55)) | (~(v90(constB55, 0) | v90(constB55, 1) | v90(constB55, 2)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9128,plain,
% 6.46/4.66 (~v119(constB55)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9127, 9126, 9124])).
% 6.46/4.66 tff(9129,plain,
% 6.46/4.66 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0)))))),
% 6.46/4.66 inference(rewrite,[status(thm)],[])).
% 6.46/4.66 tff(9130,plain,
% 6.46/4.66 ((v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~(v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0))))) <=> (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0)))))),
% 6.46/4.66 inference(rewrite,[status(thm)],[])).
% 6.46/4.66 tff(9131,plain,
% 6.46/4.66 ((~(v130(constB55, 1) | v130(constB55, 2) | (~v130(constB55, 0)))) <=> (~(v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0))))),
% 6.46/4.66 inference(rewrite,[status(thm)],[])).
% 6.46/4.66 tff(9132,plain,
% 6.46/4.66 ((v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~(v130(constB55, 1) | v130(constB55, 2) | (~v130(constB55, 0))))) <=> (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~(v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0)))))),
% 6.46/4.66 inference(monotonicity,[status(thm)],[9131])).
% 6.46/4.66 tff(9133,plain,
% 6.46/4.66 ((v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~(v130(constB55, 1) | v130(constB55, 2) | (~v130(constB55, 0))))) <=> (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0)))))),
% 6.46/4.66 inference(transitivity,[status(thm)],[9132, 9130])).
% 6.46/4.66 tff(9134,plain,
% 6.46/4.66 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~(v130(constB55, 1) | v130(constB55, 2) | (~v130(constB55, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0))))))),
% 6.46/4.66 inference(monotonicity,[status(thm)],[9133])).
% 6.46/4.66 tff(9135,plain,
% 6.46/4.66 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~(v130(constB55, 1) | v130(constB55, 2) | (~v130(constB55, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0)))))),
% 6.46/4.66 inference(transitivity,[status(thm)],[9134, 9129])).
% 6.46/4.66 tff(9136,plain,
% 6.46/4.66 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~(v130(constB55, 1) | v130(constB55, 2) | (~v130(constB55, 0)))))),
% 6.46/4.66 inference(quant_inst,[status(thm)],[])).
% 6.46/4.66 tff(9137,plain,
% 6.46/4.66 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0))))),
% 6.46/4.66 inference(modus_ponens,[status(thm)],[9136, 9135])).
% 6.46/4.66 tff(9138,plain,
% 6.46/4.66 (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0))))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9137, 5059])).
% 6.46/4.66 tff(9139,plain,
% 6.46/4.66 (~(v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0)))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9138, 9128, 9122, 9093, 9082, 9053, 9042])).
% 6.46/4.66 tff(9140,plain,
% 6.46/4.66 ((v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0))) | (~v130(constB55, 2))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9141,plain,
% 6.46/4.66 (~v130(constB55, 2)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9140, 9139])).
% 6.46/4.66 tff(9142,plain,
% 6.46/4.66 (((~v127(constB55, 2)) <=> v130(constB55, 2)) | (~v127(constB55, 2)) | v130(constB55, 2)),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9143,plain,
% 6.46/4.66 (~v127(constB55, 2)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9142, 9141, 2770])).
% 6.46/4.66 tff(9144,plain,
% 6.46/4.66 (((~v129(constB56, 2)) <=> v127(constB55, 2)) | (~v129(constB56, 2)) | v127(constB55, 2)),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9145,plain,
% 6.46/4.66 (~v129(constB56, 2)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9144, 9143, 2756])).
% 6.46/4.66 tff(9146,plain,
% 6.46/4.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))))),
% 6.46/4.66 inference(rewrite,[status(thm)],[])).
% 6.46/4.66 tff(9147,plain,
% 6.46/4.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))))),
% 6.46/4.66 inference(quant_inst,[status(thm)],[])).
% 6.46/4.66 tff(9148,plain,
% 6.46/4.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56)))))),
% 6.46/4.66 inference(modus_ponens,[status(thm)],[9147, 9146])).
% 6.46/4.66 tff(9149,plain,
% 6.46/4.66 (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9148, 2750, 273])).
% 6.46/4.66 tff(9150,plain,
% 6.46/4.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))),
% 6.46/4.66 inference(rewrite,[status(thm)],[])).
% 6.46/4.66 tff(9151,plain,
% 6.46/4.66 (((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56)))))) <=> ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))),
% 6.46/4.66 inference(rewrite,[status(thm)],[])).
% 6.46/4.66 tff(9152,plain,
% 6.46/4.66 (((~![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) <=> (~((~v1(constB56)) | (~v102(constB56)))))))),
% 6.46/4.66 inference(monotonicity,[status(thm)],[9151])).
% 6.46/4.66 tff(9153,plain,
% 6.46/4.66 (((~![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) <=> (~((~v1(constB56)) | (~v102(constB56))))))),
% 6.46/4.66 inference(transitivity,[status(thm)],[9152, 9150])).
% 6.46/4.66 tff(9154,plain,
% 6.46/4.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56))))))),
% 6.46/4.66 inference(quant_inst,[status(thm)],[])).
% 6.46/4.66 tff(9155,plain,
% 6.46/4.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56)))))),
% 6.46/4.66 inference(modus_ponens,[status(thm)],[9154, 9153])).
% 6.46/4.66 tff(9156,plain,
% 6.46/4.66 (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9155, 2750, 293])).
% 6.46/4.66 tff(9157,plain,
% 6.46/4.66 (((~![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)))),
% 6.46/4.66 inference(rewrite,[status(thm)],[])).
% 6.46/4.66 tff(9158,plain,
% 6.46/4.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56)))),
% 6.46/4.66 inference(quant_inst,[status(thm)],[])).
% 6.46/4.66 tff(9159,plain,
% 6.46/4.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56))),
% 6.46/4.66 inference(modus_ponens,[status(thm)],[9158, 9157])).
% 6.46/4.66 tff(9160,plain,
% 6.46/4.66 ((~v102(constB56)) <=> v104(constB56)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9159, 2750, 4609])).
% 6.46/4.66 tff(9161,plain,
% 6.46/4.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55)))),
% 6.46/4.66 inference(rewrite,[status(thm)],[])).
% 6.46/4.66 tff(9162,plain,
% 6.46/4.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55)))),
% 6.46/4.66 inference(quant_inst,[status(thm)],[])).
% 6.46/4.66 tff(9163,plain,
% 6.46/4.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55))),
% 6.46/4.66 inference(modus_ponens,[status(thm)],[9162, 9161])).
% 6.46/4.66 tff(9164,plain,
% 6.46/4.66 (v104(constB56) <=> v1(constB55)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9163, 2750, 4623])).
% 6.46/4.66 tff(9165,plain,
% 6.46/4.66 ((~(v104(constB56) <=> v1(constB55))) | (~v104(constB56)) | v1(constB55)),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9166,plain,
% 6.46/4.66 ((~(v104(constB56) <=> v1(constB55))) | (~v104(constB56))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9165, 2789])).
% 6.46/4.66 tff(9167,plain,
% 6.46/4.66 (~v104(constB56)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9166, 9164])).
% 6.46/4.66 tff(9168,plain,
% 6.46/4.66 ((~((~v102(constB56)) <=> v104(constB56))) | v102(constB56) | v104(constB56)),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9169,plain,
% 6.46/4.66 (v102(constB56)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9168, 9167, 9160])).
% 6.46/4.66 tff(9170,plain,
% 6.46/4.66 (v1(constB56) <=> v1(constB56)),
% 6.46/4.66 inference(rewrite,[status(thm)],[])).
% 6.46/4.66 tff(9171,axiom,(v1(constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_56')).
% 6.46/4.66 tff(9172,plain,
% 6.46/4.66 (v1(constB56)),
% 6.46/4.66 inference(modus_ponens,[status(thm)],[9171, 9170])).
% 6.46/4.66 tff(9173,plain,
% 6.46/4.66 ((~((~v1(constB56)) | (~v102(constB56)))) | (~v1(constB56)) | (~v102(constB56))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9174,plain,
% 6.46/4.66 ((~((~v1(constB56)) | (~v102(constB56)))) | (~v102(constB56))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9173, 9172])).
% 6.46/4.66 tff(9175,plain,
% 6.46/4.66 (~((~v1(constB56)) | (~v102(constB56)))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9174, 9169])).
% 6.46/4.66 tff(9176,plain,
% 6.46/4.66 ((~(v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56)))))) | v101(constB56) | ((~v1(constB56)) | (~v102(constB56)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9177,plain,
% 6.46/4.66 (v101(constB56)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9176, 9175, 9156])).
% 6.46/4.66 tff(9178,plain,
% 6.46/4.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55)))),
% 6.46/4.66 inference(rewrite,[status(thm)],[])).
% 6.46/4.66 tff(9179,plain,
% 6.46/4.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55)))),
% 6.46/4.66 inference(quant_inst,[status(thm)],[])).
% 6.46/4.66 tff(9180,plain,
% 6.46/4.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55))),
% 6.46/4.66 inference(modus_ponens,[status(thm)],[9179, 9178])).
% 6.46/4.66 tff(9181,plain,
% 6.46/4.66 (v110(constB56) <=> v108(constB55)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9180, 2750, 4650])).
% 6.46/4.66 tff(9182,plain,
% 6.46/4.66 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB55) <=> (v111(constB55) | v112(constB55)))),
% 6.46/4.66 inference(quant_inst,[status(thm)],[])).
% 6.46/4.66 tff(9183,plain,
% 6.46/4.66 (v108(constB55) <=> (v111(constB55) | v112(constB55))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9182, 4661])).
% 6.46/4.66 tff(9184,plain,
% 6.46/4.66 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55)))))),
% 6.46/4.66 inference(quant_inst,[status(thm)],[])).
% 6.46/4.66 tff(9185,plain,
% 6.46/4.66 (v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55))))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9184, 4673])).
% 6.46/4.66 tff(9186,plain,
% 6.46/4.66 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB55) <=> (v114(constB55) | v125(constB55)))),
% 6.46/4.66 inference(quant_inst,[status(thm)],[])).
% 6.46/4.66 tff(9187,plain,
% 6.46/4.66 (v113(constB55) <=> (v114(constB55) | v125(constB55))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9186, 4682])).
% 6.46/4.66 tff(9188,plain,
% 6.46/4.66 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB55) <=> (~(v90(constB55, 0) | (~v90(constB55, 1)) | (~v90(constB55, 2)))))),
% 6.46/4.66 inference(quant_inst,[status(thm)],[])).
% 6.46/4.66 tff(9189,plain,
% 6.46/4.66 (v125(constB55) <=> (~(v90(constB55, 0) | (~v90(constB55, 1)) | (~v90(constB55, 2))))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9188, 5131])).
% 6.46/4.66 tff(9190,plain,
% 6.46/4.66 ((~(v90(constB55, 0) | (~v90(constB55, 1)) | (~v90(constB55, 2)))) | v90(constB55, 0) | (~v90(constB55, 1)) | (~v90(constB55, 2))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9191,plain,
% 6.46/4.66 (~(v90(constB55, 0) | (~v90(constB55, 1)) | (~v90(constB55, 2)))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9190, 9078, 9038, 9118])).
% 6.46/4.66 tff(9192,plain,
% 6.46/4.66 ((~(v125(constB55) <=> (~(v90(constB55, 0) | (~v90(constB55, 1)) | (~v90(constB55, 2)))))) | v125(constB55) | (v90(constB55, 0) | (~v90(constB55, 1)) | (~v90(constB55, 2)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9193,plain,
% 6.46/4.66 (v125(constB55)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9192, 9191, 9189])).
% 6.46/4.66 tff(9194,plain,
% 6.46/4.66 ((v114(constB55) | v125(constB55)) | (~v125(constB55))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9195,plain,
% 6.46/4.66 (v114(constB55) | v125(constB55)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9194, 9193])).
% 6.46/4.66 tff(9196,plain,
% 6.46/4.66 ((~(v113(constB55) <=> (v114(constB55) | v125(constB55)))) | v113(constB55) | (~(v114(constB55) | v125(constB55)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9197,plain,
% 6.46/4.66 (v113(constB55)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9196, 9195, 9187])).
% 6.46/4.66 tff(9198,plain,
% 6.46/4.66 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB55)) <=> v111(constB55))),
% 6.46/4.66 inference(quant_inst,[status(thm)],[])).
% 6.46/4.66 tff(9199,plain,
% 6.46/4.66 ((~v126(constB55)) <=> v111(constB55)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9198, 4761])).
% 6.46/4.66 tff(9200,plain,
% 6.46/4.66 ((~((~v126(constB55)) <=> v111(constB55))) | v126(constB55) | v111(constB55)),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9201,plain,
% 6.46/4.66 ((~((~v126(constB55)) <=> v111(constB55))) | v126(constB55)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9200, 2763])).
% 6.46/4.66 tff(9202,plain,
% 6.46/4.66 (v126(constB55)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9201, 9199])).
% 6.46/4.66 tff(9203,plain,
% 6.46/4.66 ((~((~v113(constB55)) | (~v126(constB55)))) | (~v113(constB55)) | (~v126(constB55))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9204,plain,
% 6.46/4.66 ((~((~v113(constB55)) | (~v126(constB55)))) | (~v113(constB55))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9203, 9202])).
% 6.46/4.66 tff(9205,plain,
% 6.46/4.66 (~((~v113(constB55)) | (~v126(constB55)))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9204, 9197])).
% 6.46/4.66 tff(9206,plain,
% 6.46/4.66 ((~(v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55)))))) | v112(constB55) | ((~v113(constB55)) | (~v126(constB55)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9207,plain,
% 6.46/4.66 (v112(constB55)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9206, 9205, 9185])).
% 6.46/4.66 tff(9208,plain,
% 6.46/4.66 ((v111(constB55) | v112(constB55)) | (~v112(constB55))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9209,plain,
% 6.46/4.66 (v111(constB55) | v112(constB55)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9208, 9207])).
% 6.46/4.66 tff(9210,plain,
% 6.46/4.66 ((~(v108(constB55) <=> (v111(constB55) | v112(constB55)))) | v108(constB55) | (~(v111(constB55) | v112(constB55)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9211,plain,
% 6.46/4.66 (v108(constB55)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9210, 9209, 9183])).
% 6.46/4.66 tff(9212,plain,
% 6.46/4.66 ((~(v110(constB56) <=> v108(constB55))) | v110(constB56) | (~v108(constB55))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9213,plain,
% 6.46/4.66 (v110(constB56)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9212, 9211, 9181])).
% 6.46/4.66 tff(9214,plain,
% 6.46/4.66 ((~((~v101(constB56)) | (~v110(constB56)))) | (~v101(constB56)) | (~v110(constB56))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9215,plain,
% 6.46/4.66 (~((~v101(constB56)) | (~v110(constB56)))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9214, 9213, 9177])).
% 6.46/4.66 tff(9216,plain,
% 6.46/4.66 ((~(v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56)))))) | v100(constB56) | ((~v101(constB56)) | (~v110(constB56)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9217,plain,
% 6.46/4.66 (v100(constB56)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9216, 9215, 9149])).
% 6.46/4.66 tff(9218,plain,
% 6.46/4.66 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB56)) | (~(((~v90(constB56, 2)) <=> v129(constB56, 2)) | ((~v90(constB56, 1)) <=> v129(constB56, 1)) | ((~v90(constB56, 0)) <=> v129(constB56, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB56)) | (~(((~v90(constB56, 2)) <=> v129(constB56, 2)) | ((~v90(constB56, 1)) <=> v129(constB56, 1)) | ((~v90(constB56, 0)) <=> v129(constB56, 0)))))),
% 6.46/4.66 inference(rewrite,[status(thm)],[])).
% 6.46/4.66 tff(9219,plain,
% 6.46/4.66 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB56)) | (~(((~v90(constB56, 2)) <=> v129(constB56, 2)) | ((~v90(constB56, 1)) <=> v129(constB56, 1)) | ((~v90(constB56, 0)) <=> v129(constB56, 0)))))),
% 6.46/4.66 inference(quant_inst,[status(thm)],[])).
% 6.46/4.66 tff(9220,plain,
% 6.46/4.66 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB56)) | (~(((~v90(constB56, 2)) <=> v129(constB56, 2)) | ((~v90(constB56, 1)) <=> v129(constB56, 1)) | ((~v90(constB56, 0)) <=> v129(constB56, 0))))),
% 6.46/4.66 inference(modus_ponens,[status(thm)],[9219, 9218])).
% 6.46/4.66 tff(9221,plain,
% 6.46/4.66 ((~v100(constB56)) | (~(((~v90(constB56, 2)) <=> v129(constB56, 2)) | ((~v90(constB56, 1)) <=> v129(constB56, 1)) | ((~v90(constB56, 0)) <=> v129(constB56, 0))))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9220, 4794])).
% 6.46/4.66 tff(9222,plain,
% 6.46/4.66 (~(((~v90(constB56, 2)) <=> v129(constB56, 2)) | ((~v90(constB56, 1)) <=> v129(constB56, 1)) | ((~v90(constB56, 0)) <=> v129(constB56, 0)))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9221, 9217])).
% 6.46/4.66 tff(9223,plain,
% 6.46/4.66 ((((~v90(constB56, 2)) <=> v129(constB56, 2)) | ((~v90(constB56, 1)) <=> v129(constB56, 1)) | ((~v90(constB56, 0)) <=> v129(constB56, 0))) | (~((~v90(constB56, 2)) <=> v129(constB56, 2)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9224,plain,
% 6.46/4.66 (~((~v90(constB56, 2)) <=> v129(constB56, 2))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9223, 9222])).
% 6.46/4.66 tff(9225,plain,
% 6.46/4.66 (((~v90(constB56, 2)) <=> v129(constB56, 2)) | (~v90(constB56, 2)) | v129(constB56, 2)),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9226,plain,
% 6.46/4.66 (~v90(constB56, 2)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9225, 9224, 9145])).
% 6.46/4.66 tff(9227,plain,
% 6.46/4.66 (((~v90(constB57, 2)) <=> v90(constB56, 2)) | (~v90(constB57, 2)) | v90(constB56, 2)),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9228,plain,
% 6.46/4.66 (~v90(constB57, 2)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9227, 9226, 2747])).
% 6.46/4.66 tff(9229,plain,
% 6.46/4.66 ((((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0))) | (~((~v90(constB57, 0)) <=> v90(constB56, 0)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9230,plain,
% 6.46/4.66 (~((~v90(constB57, 0)) <=> v90(constB56, 0))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9229, 2745])).
% 6.46/4.66 tff(9231,plain,
% 6.46/4.66 ((((~v129(constB56, 2)) <=> v127(constB55, 2)) | ((~v129(constB56, 1)) <=> v127(constB55, 1)) | ((~v129(constB56, 0)) <=> v127(constB55, 0))) | (~((~v129(constB56, 0)) <=> v127(constB55, 0)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9232,plain,
% 6.46/4.66 (~((~v129(constB56, 0)) <=> v127(constB55, 0))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9231, 2754])).
% 6.46/4.66 tff(9233,plain,
% 6.46/4.66 ((((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0))) | (~((~v127(constB55, 0)) <=> v130(constB55, 0)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9234,plain,
% 6.46/4.66 (~((~v127(constB55, 0)) <=> v130(constB55, 0))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9233, 2768])).
% 6.46/4.66 tff(9235,plain,
% 6.46/4.66 ((v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0))) | v130(constB55, 0)),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9236,plain,
% 6.46/4.66 (v130(constB55, 0)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9235, 9139])).
% 6.46/4.66 tff(9237,plain,
% 6.46/4.66 (((~v127(constB55, 0)) <=> v130(constB55, 0)) | v127(constB55, 0) | (~v130(constB55, 0))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9238,plain,
% 6.46/4.66 (v127(constB55, 0)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9237, 9236, 9234])).
% 6.46/4.66 tff(9239,plain,
% 6.46/4.66 (((~v129(constB56, 0)) <=> v127(constB55, 0)) | v129(constB56, 0) | (~v127(constB55, 0))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9240,plain,
% 6.46/4.66 (v129(constB56, 0)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9239, 9238, 9232])).
% 6.46/4.66 tff(9241,plain,
% 6.46/4.66 ((((~v90(constB56, 2)) <=> v129(constB56, 2)) | ((~v90(constB56, 1)) <=> v129(constB56, 1)) | ((~v90(constB56, 0)) <=> v129(constB56, 0))) | (~((~v90(constB56, 0)) <=> v129(constB56, 0)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9242,plain,
% 6.46/4.66 (~((~v90(constB56, 0)) <=> v129(constB56, 0))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9241, 9222])).
% 6.46/4.66 tff(9243,plain,
% 6.46/4.66 (((~v90(constB56, 0)) <=> v129(constB56, 0)) | v90(constB56, 0) | (~v129(constB56, 0))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9244,plain,
% 6.46/4.66 (v90(constB56, 0)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9243, 9242, 9240])).
% 6.46/4.66 tff(9245,plain,
% 6.46/4.66 (((~v90(constB57, 0)) <=> v90(constB56, 0)) | v90(constB57, 0) | (~v90(constB56, 0))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9246,plain,
% 6.46/4.66 (v90(constB57, 0)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9245, 9244, 9230])).
% 6.46/4.66 tff(9247,plain,
% 6.46/4.66 ((((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0))) | (~((~v90(constB57, 1)) <=> v90(constB56, 1)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9248,plain,
% 6.46/4.66 (~((~v90(constB57, 1)) <=> v90(constB56, 1))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9247, 2745])).
% 6.46/4.66 tff(9249,plain,
% 6.46/4.66 ((((~v129(constB56, 2)) <=> v127(constB55, 2)) | ((~v129(constB56, 1)) <=> v127(constB55, 1)) | ((~v129(constB56, 0)) <=> v127(constB55, 0))) | (~((~v129(constB56, 1)) <=> v127(constB55, 1)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9250,plain,
% 6.46/4.66 (~((~v129(constB56, 1)) <=> v127(constB55, 1))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9249, 2754])).
% 6.46/4.66 tff(9251,plain,
% 6.46/4.66 ((((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0))) | (~((~v127(constB55, 1)) <=> v130(constB55, 1)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9252,plain,
% 6.46/4.66 (~((~v127(constB55, 1)) <=> v130(constB55, 1))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9251, 2768])).
% 6.46/4.66 tff(9253,plain,
% 6.46/4.66 ((v130(constB55, 2) | v130(constB55, 1) | (~v130(constB55, 0))) | (~v130(constB55, 1))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9254,plain,
% 6.46/4.66 (~v130(constB55, 1)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9253, 9139])).
% 6.46/4.66 tff(9255,plain,
% 6.46/4.66 (((~v127(constB55, 1)) <=> v130(constB55, 1)) | (~v127(constB55, 1)) | v130(constB55, 1)),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9256,plain,
% 6.46/4.66 (~v127(constB55, 1)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9255, 9254, 9252])).
% 6.46/4.66 tff(9257,plain,
% 6.46/4.66 (((~v129(constB56, 1)) <=> v127(constB55, 1)) | (~v129(constB56, 1)) | v127(constB55, 1)),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9258,plain,
% 6.46/4.66 (~v129(constB56, 1)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9257, 9256, 9250])).
% 6.46/4.66 tff(9259,plain,
% 6.46/4.66 ((((~v90(constB56, 2)) <=> v129(constB56, 2)) | ((~v90(constB56, 1)) <=> v129(constB56, 1)) | ((~v90(constB56, 0)) <=> v129(constB56, 0))) | (~((~v90(constB56, 1)) <=> v129(constB56, 1)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9260,plain,
% 6.46/4.66 (~((~v90(constB56, 1)) <=> v129(constB56, 1))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9259, 9222])).
% 6.46/4.66 tff(9261,plain,
% 6.46/4.66 (((~v90(constB56, 1)) <=> v129(constB56, 1)) | (~v90(constB56, 1)) | v129(constB56, 1)),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9262,plain,
% 6.46/4.66 (~v90(constB56, 1)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9261, 9260, 9258])).
% 6.46/4.66 tff(9263,plain,
% 6.46/4.66 (((~v90(constB57, 1)) <=> v90(constB56, 1)) | (~v90(constB57, 1)) | v90(constB56, 1)),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9264,plain,
% 6.46/4.66 (~v90(constB57, 1)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9263, 9262, 9248])).
% 6.46/4.66 tff(9265,plain,
% 6.46/4.66 ((~(v90(constB57, 1) | v90(constB57, 2) | (~v90(constB57, 0)))) | v90(constB57, 1) | v90(constB57, 2) | (~v90(constB57, 0))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9266,plain,
% 6.46/4.66 (~(v90(constB57, 1) | v90(constB57, 2) | (~v90(constB57, 0)))),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9265, 9264, 9246, 9228])).
% 6.46/4.66 tff(9267,plain,
% 6.46/4.66 ((~(v120(constB57) <=> (~(v90(constB57, 1) | v90(constB57, 2) | (~v90(constB57, 0)))))) | v120(constB57) | (v90(constB57, 1) | v90(constB57, 2) | (~v90(constB57, 0)))),
% 6.46/4.66 inference(tautology,[status(thm)],[])).
% 6.46/4.66 tff(9268,plain,
% 6.46/4.66 (v120(constB57)),
% 6.46/4.66 inference(unit_resolution,[status(thm)],[9267, 9266, 2711])).
% 6.46/4.66 tff(9269,plain,
% 6.46/4.66 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB57)) | (~(v130(constB57, 2) | v130(constB57, 0) | (~v130(constB57, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB57)) | (~(v130(constB57, 2) | v130(constB57, 0) | (~v130(constB57, 1)))))),
% 6.46/4.66 inference(rewrite,[status(thm)],[])).
% 6.46/4.66 tff(9270,plain,
% 6.46/4.66 (((~v120(constB57)) | (~(v130(constB57, 0) | v130(constB57, 2) | (~v130(constB57, 1))))) <=> ((~v120(constB57)) | (~(v130(constB57, 2) | v130(constB57, 0) | (~v130(constB57, 1)))))),
% 6.46/4.66 inference(rewrite,[status(thm)],[])).
% 6.46/4.66 tff(9271,plain,
% 6.46/4.66 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB57)) | (~(v130(constB57, 0) | v130(constB57, 2) | (~v130(constB57, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB57)) | (~(v130(constB57, 2) | v130(constB57, 0) | (~v130(constB57, 1))))))),
% 6.46/4.66 inference(monotonicity,[status(thm)],[9270])).
% 6.46/4.66 tff(9272,plain,
% 6.46/4.66 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB57)) | (~(v130(constB57, 0) | v130(constB57, 2) | (~v130(constB57, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB57)) | (~(v130(constB57, 2) | v130(constB57, 0) | (~v130(constB57, 1)))))),
% 6.46/4.66 inference(transitivity,[status(thm)],[9271, 9269])).
% 6.46/4.66 tff(9273,plain,
% 6.46/4.66 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB57)) | (~(v130(constB57, 0) | v130(constB57, 2) | (~v130(constB57, 1)))))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9274,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB57)) | (~(v130(constB57, 2) | v130(constB57, 0) | (~v130(constB57, 1))))),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9273, 9272])).
% 6.46/4.67 tff(9275,plain,
% 6.46/4.67 ((~v120(constB57)) | (~(v130(constB57, 2) | v130(constB57, 0) | (~v130(constB57, 1))))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9274, 5246])).
% 6.46/4.67 tff(9276,plain,
% 6.46/4.67 (~(v130(constB57, 2) | v130(constB57, 0) | (~v130(constB57, 1)))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9275, 9268])).
% 6.46/4.67 tff(9277,plain,
% 6.46/4.67 ((v130(constB57, 2) | v130(constB57, 0) | (~v130(constB57, 1))) | (~v130(constB57, 2))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9278,plain,
% 6.46/4.67 (~v130(constB57, 2)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9277, 9276])).
% 6.46/4.67 tff(9279,plain,
% 6.46/4.67 (((~v127(constB57, 2)) <=> v130(constB57, 2)) | (~v127(constB57, 2)) | v130(constB57, 2)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9280,plain,
% 6.46/4.67 (~v127(constB57, 2)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9279, 9278, 2709])).
% 6.46/4.67 tff(9281,plain,
% 6.46/4.67 (((~v129(constB58, 2)) <=> v127(constB57, 2)) | (~v129(constB58, 2)) | v127(constB57, 2)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9282,plain,
% 6.46/4.67 (~v129(constB58, 2)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9281, 9280, 2695])).
% 6.46/4.67 tff(9283,plain,
% 6.46/4.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9284,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9285,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58)))))),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9284, 9283])).
% 6.46/4.67 tff(9286,plain,
% 6.46/4.67 (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9285, 2689, 273])).
% 6.46/4.67 tff(9287,plain,
% 6.46/4.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9288,plain,
% 6.46/4.67 (((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58)))))) <=> ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9289,plain,
% 6.46/4.67 (((~![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) <=> (~((~v1(constB58)) | (~v102(constB58)))))))),
% 6.46/4.67 inference(monotonicity,[status(thm)],[9288])).
% 6.46/4.67 tff(9290,plain,
% 6.46/4.67 (((~![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) <=> (~((~v1(constB58)) | (~v102(constB58))))))),
% 6.46/4.67 inference(transitivity,[status(thm)],[9289, 9287])).
% 6.46/4.67 tff(9291,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58))))))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9292,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58)))))),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9291, 9290])).
% 6.46/4.67 tff(9293,plain,
% 6.46/4.67 (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9292, 2689, 293])).
% 6.46/4.67 tff(9294,plain,
% 6.46/4.67 (((~![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)))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9295,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9296,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58))),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9295, 9294])).
% 6.46/4.67 tff(9297,plain,
% 6.46/4.67 ((~v102(constB58)) <=> v104(constB58)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9296, 2689, 4609])).
% 6.46/4.67 tff(9298,plain,
% 6.46/4.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57)))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9299,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9300,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57))),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9299, 9298])).
% 6.46/4.67 tff(9301,plain,
% 6.46/4.67 (v104(constB58) <=> v1(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9300, 2689, 4623])).
% 6.46/4.67 tff(9302,plain,
% 6.46/4.67 ((~(v104(constB58) <=> v1(constB57))) | (~v104(constB58)) | v1(constB57)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9303,plain,
% 6.46/4.67 ((~(v104(constB58) <=> v1(constB57))) | (~v104(constB58))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9302, 2728])).
% 6.46/4.67 tff(9304,plain,
% 6.46/4.67 (~v104(constB58)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9303, 9301])).
% 6.46/4.67 tff(9305,plain,
% 6.46/4.67 ((~((~v102(constB58)) <=> v104(constB58))) | v102(constB58) | v104(constB58)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9306,plain,
% 6.46/4.67 (v102(constB58)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9305, 9304, 9297])).
% 6.46/4.67 tff(9307,plain,
% 6.46/4.67 (v1(constB58) <=> v1(constB58)),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9308,axiom,(v1(constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_58')).
% 6.46/4.67 tff(9309,plain,
% 6.46/4.67 (v1(constB58)),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9308, 9307])).
% 6.46/4.67 tff(9310,plain,
% 6.46/4.67 ((~((~v1(constB58)) | (~v102(constB58)))) | (~v1(constB58)) | (~v102(constB58))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9311,plain,
% 6.46/4.67 ((~((~v1(constB58)) | (~v102(constB58)))) | (~v102(constB58))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9310, 9309])).
% 6.46/4.67 tff(9312,plain,
% 6.46/4.67 (~((~v1(constB58)) | (~v102(constB58)))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9311, 9306])).
% 6.46/4.67 tff(9313,plain,
% 6.46/4.67 ((~(v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58)))))) | v101(constB58) | ((~v1(constB58)) | (~v102(constB58)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9314,plain,
% 6.46/4.67 (v101(constB58)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9313, 9312, 9293])).
% 6.46/4.67 tff(9315,plain,
% 6.46/4.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57)))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9316,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9317,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57))),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9316, 9315])).
% 6.46/4.67 tff(9318,plain,
% 6.46/4.67 (v110(constB58) <=> v108(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9317, 2689, 4650])).
% 6.46/4.67 tff(9319,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB57) <=> (v111(constB57) | v112(constB57)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9320,plain,
% 6.46/4.67 (v108(constB57) <=> (v111(constB57) | v112(constB57))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9319, 4661])).
% 6.46/4.67 tff(9321,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57)))))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9322,plain,
% 6.46/4.67 (v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57))))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9321, 4673])).
% 6.46/4.67 tff(9323,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB57) <=> (v114(constB57) | v125(constB57)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9324,plain,
% 6.46/4.67 (v113(constB57) <=> (v114(constB57) | v125(constB57))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9323, 4682])).
% 6.46/4.67 tff(9325,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB57) <=> (v115(constB57) | v124(constB57)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9326,plain,
% 6.46/4.67 (v114(constB57) <=> (v115(constB57) | v124(constB57))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9325, 4691])).
% 6.46/4.67 tff(9327,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB57) <=> (v116(constB57) | v123(constB57)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9328,plain,
% 6.46/4.67 (v115(constB57) <=> (v116(constB57) | v123(constB57))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9327, 4700])).
% 6.46/4.67 tff(9329,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB57) <=> (v117(constB57) | v122(constB57)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9330,plain,
% 6.46/4.67 (v116(constB57) <=> (v117(constB57) | v122(constB57))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9329, 4709])).
% 6.46/4.67 tff(9331,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB57) <=> (v118(constB57) | v121(constB57)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9332,plain,
% 6.46/4.67 (v117(constB57) <=> (v118(constB57) | v121(constB57))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9331, 4718])).
% 6.46/4.67 tff(9333,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB57) <=> (v119(constB57) | v120(constB57)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9334,plain,
% 6.46/4.67 (v118(constB57) <=> (v119(constB57) | v120(constB57))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9333, 4727])).
% 6.46/4.67 tff(9335,plain,
% 6.46/4.67 ((v119(constB57) | v120(constB57)) | (~v120(constB57))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9336,plain,
% 6.46/4.67 (v119(constB57) | v120(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9335, 9268])).
% 6.46/4.67 tff(9337,plain,
% 6.46/4.67 ((~(v118(constB57) <=> (v119(constB57) | v120(constB57)))) | v118(constB57) | (~(v119(constB57) | v120(constB57)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9338,plain,
% 6.46/4.67 (v118(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9337, 9336, 9334])).
% 6.46/4.67 tff(9339,plain,
% 6.46/4.67 ((v118(constB57) | v121(constB57)) | (~v118(constB57))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9340,plain,
% 6.46/4.67 (v118(constB57) | v121(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9339, 9338])).
% 6.46/4.67 tff(9341,plain,
% 6.46/4.67 ((~(v117(constB57) <=> (v118(constB57) | v121(constB57)))) | v117(constB57) | (~(v118(constB57) | v121(constB57)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9342,plain,
% 6.46/4.67 (v117(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9341, 9340, 9332])).
% 6.46/4.67 tff(9343,plain,
% 6.46/4.67 ((v117(constB57) | v122(constB57)) | (~v117(constB57))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9344,plain,
% 6.46/4.67 (v117(constB57) | v122(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9343, 9342])).
% 6.46/4.67 tff(9345,plain,
% 6.46/4.67 ((~(v116(constB57) <=> (v117(constB57) | v122(constB57)))) | v116(constB57) | (~(v117(constB57) | v122(constB57)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9346,plain,
% 6.46/4.67 (v116(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9345, 9344, 9330])).
% 6.46/4.67 tff(9347,plain,
% 6.46/4.67 ((v116(constB57) | v123(constB57)) | (~v116(constB57))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9348,plain,
% 6.46/4.67 (v116(constB57) | v123(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9347, 9346])).
% 6.46/4.67 tff(9349,plain,
% 6.46/4.67 ((~(v115(constB57) <=> (v116(constB57) | v123(constB57)))) | v115(constB57) | (~(v116(constB57) | v123(constB57)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9350,plain,
% 6.46/4.67 (v115(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9349, 9348, 9328])).
% 6.46/4.67 tff(9351,plain,
% 6.46/4.67 ((v115(constB57) | v124(constB57)) | (~v115(constB57))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9352,plain,
% 6.46/4.67 (v115(constB57) | v124(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9351, 9350])).
% 6.46/4.67 tff(9353,plain,
% 6.46/4.67 ((~(v114(constB57) <=> (v115(constB57) | v124(constB57)))) | v114(constB57) | (~(v115(constB57) | v124(constB57)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9354,plain,
% 6.46/4.67 (v114(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9353, 9352, 9326])).
% 6.46/4.67 tff(9355,plain,
% 6.46/4.67 ((v114(constB57) | v125(constB57)) | (~v114(constB57))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9356,plain,
% 6.46/4.67 (v114(constB57) | v125(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9355, 9354])).
% 6.46/4.67 tff(9357,plain,
% 6.46/4.67 ((~(v113(constB57) <=> (v114(constB57) | v125(constB57)))) | v113(constB57) | (~(v114(constB57) | v125(constB57)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9358,plain,
% 6.46/4.67 (v113(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9357, 9356, 9324])).
% 6.46/4.67 tff(9359,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB57)) <=> v111(constB57))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9360,plain,
% 6.46/4.67 ((~v126(constB57)) <=> v111(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9359, 4761])).
% 6.46/4.67 tff(9361,plain,
% 6.46/4.67 ((~((~v126(constB57)) <=> v111(constB57))) | v126(constB57) | v111(constB57)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9362,plain,
% 6.46/4.67 ((~((~v126(constB57)) <=> v111(constB57))) | v126(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9361, 2702])).
% 6.46/4.67 tff(9363,plain,
% 6.46/4.67 (v126(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9362, 9360])).
% 6.46/4.67 tff(9364,plain,
% 6.46/4.67 ((~((~v113(constB57)) | (~v126(constB57)))) | (~v113(constB57)) | (~v126(constB57))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9365,plain,
% 6.46/4.67 ((~((~v113(constB57)) | (~v126(constB57)))) | (~v113(constB57))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9364, 9363])).
% 6.46/4.67 tff(9366,plain,
% 6.46/4.67 (~((~v113(constB57)) | (~v126(constB57)))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9365, 9358])).
% 6.46/4.67 tff(9367,plain,
% 6.46/4.67 ((~(v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57)))))) | v112(constB57) | ((~v113(constB57)) | (~v126(constB57)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9368,plain,
% 6.46/4.67 (v112(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9367, 9366, 9322])).
% 6.46/4.67 tff(9369,plain,
% 6.46/4.67 ((v111(constB57) | v112(constB57)) | (~v112(constB57))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9370,plain,
% 6.46/4.67 (v111(constB57) | v112(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9369, 9368])).
% 6.46/4.67 tff(9371,plain,
% 6.46/4.67 ((~(v108(constB57) <=> (v111(constB57) | v112(constB57)))) | v108(constB57) | (~(v111(constB57) | v112(constB57)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9372,plain,
% 6.46/4.67 (v108(constB57)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9371, 9370, 9320])).
% 6.46/4.67 tff(9373,plain,
% 6.46/4.67 ((~(v110(constB58) <=> v108(constB57))) | v110(constB58) | (~v108(constB57))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9374,plain,
% 6.46/4.67 (v110(constB58)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9373, 9372, 9318])).
% 6.46/4.67 tff(9375,plain,
% 6.46/4.67 ((~((~v101(constB58)) | (~v110(constB58)))) | (~v101(constB58)) | (~v110(constB58))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9376,plain,
% 6.46/4.67 (~((~v101(constB58)) | (~v110(constB58)))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9375, 9374, 9314])).
% 6.46/4.67 tff(9377,plain,
% 6.46/4.67 ((~(v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58)))))) | v100(constB58) | ((~v101(constB58)) | (~v110(constB58)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9378,plain,
% 6.46/4.67 (v100(constB58)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9377, 9376, 9286])).
% 6.46/4.67 tff(9379,plain,
% 6.46/4.67 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB58)) | (~(((~v90(constB58, 0)) <=> v129(constB58, 0)) | ((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB58)) | (~(((~v90(constB58, 0)) <=> v129(constB58, 0)) | ((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1)))))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9380,plain,
% 6.46/4.67 (((~v100(constB58)) | (~(((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1)) | ((~v90(constB58, 0)) <=> v129(constB58, 0))))) <=> ((~v100(constB58)) | (~(((~v90(constB58, 0)) <=> v129(constB58, 0)) | ((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1)))))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9381,plain,
% 6.46/4.67 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB58)) | (~(((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1)) | ((~v90(constB58, 0)) <=> v129(constB58, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB58)) | (~(((~v90(constB58, 0)) <=> v129(constB58, 0)) | ((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1))))))),
% 6.46/4.67 inference(monotonicity,[status(thm)],[9380])).
% 6.46/4.67 tff(9382,plain,
% 6.46/4.67 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB58)) | (~(((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1)) | ((~v90(constB58, 0)) <=> v129(constB58, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB58)) | (~(((~v90(constB58, 0)) <=> v129(constB58, 0)) | ((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1)))))),
% 6.46/4.67 inference(transitivity,[status(thm)],[9381, 9379])).
% 6.46/4.67 tff(9383,plain,
% 6.46/4.67 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB58)) | (~(((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1)) | ((~v90(constB58, 0)) <=> v129(constB58, 0)))))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9384,plain,
% 6.46/4.67 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB58)) | (~(((~v90(constB58, 0)) <=> v129(constB58, 0)) | ((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1))))),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9383, 9382])).
% 6.46/4.67 tff(9385,plain,
% 6.46/4.67 ((~v100(constB58)) | (~(((~v90(constB58, 0)) <=> v129(constB58, 0)) | ((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1))))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9384, 4794])).
% 6.46/4.67 tff(9386,plain,
% 6.46/4.67 (~(((~v90(constB58, 0)) <=> v129(constB58, 0)) | ((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1)))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9385, 9378])).
% 6.46/4.67 tff(9387,plain,
% 6.46/4.67 ((((~v90(constB58, 0)) <=> v129(constB58, 0)) | ((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1))) | (~((~v90(constB58, 2)) <=> v129(constB58, 2)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9388,plain,
% 6.46/4.67 (~((~v90(constB58, 2)) <=> v129(constB58, 2))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9387, 9386])).
% 6.46/4.67 tff(9389,plain,
% 6.46/4.67 (((~v90(constB58, 2)) <=> v129(constB58, 2)) | (~v90(constB58, 2)) | v129(constB58, 2)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9390,plain,
% 6.46/4.67 (~v90(constB58, 2)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9389, 9388, 9282])).
% 6.46/4.67 tff(9391,plain,
% 6.46/4.67 (((~v90(constB59, 2)) <=> v90(constB58, 2)) | (~v90(constB59, 2)) | v90(constB58, 2)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9392,plain,
% 6.46/4.67 (~v90(constB59, 2)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9391, 9390, 2686])).
% 6.46/4.67 tff(9393,plain,
% 6.46/4.67 ((((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0))) | (~((~v90(constB59, 0)) <=> v90(constB58, 0)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9394,plain,
% 6.46/4.67 (~((~v90(constB59, 0)) <=> v90(constB58, 0))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9393, 2684])).
% 6.46/4.67 tff(9395,plain,
% 6.46/4.67 ((((~v129(constB58, 2)) <=> v127(constB57, 2)) | ((~v129(constB58, 1)) <=> v127(constB57, 1)) | ((~v129(constB58, 0)) <=> v127(constB57, 0))) | (~((~v129(constB58, 0)) <=> v127(constB57, 0)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9396,plain,
% 6.46/4.67 (~((~v129(constB58, 0)) <=> v127(constB57, 0))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9395, 2693])).
% 6.46/4.67 tff(9397,plain,
% 6.46/4.67 ((((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0))) | (~((~v127(constB57, 0)) <=> v130(constB57, 0)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9398,plain,
% 6.46/4.67 (~((~v127(constB57, 0)) <=> v130(constB57, 0))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9397, 2707])).
% 6.46/4.67 tff(9399,plain,
% 6.46/4.67 ((v130(constB57, 2) | v130(constB57, 0) | (~v130(constB57, 1))) | (~v130(constB57, 0))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9400,plain,
% 6.46/4.67 (~v130(constB57, 0)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9399, 9276])).
% 6.46/4.67 tff(9401,plain,
% 6.46/4.67 (((~v127(constB57, 0)) <=> v130(constB57, 0)) | (~v127(constB57, 0)) | v130(constB57, 0)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9402,plain,
% 6.46/4.67 (~v127(constB57, 0)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9401, 9400, 9398])).
% 6.46/4.67 tff(9403,plain,
% 6.46/4.67 (((~v129(constB58, 0)) <=> v127(constB57, 0)) | (~v129(constB58, 0)) | v127(constB57, 0)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9404,plain,
% 6.46/4.67 (~v129(constB58, 0)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9403, 9402, 9396])).
% 6.46/4.67 tff(9405,plain,
% 6.46/4.67 ((((~v90(constB58, 0)) <=> v129(constB58, 0)) | ((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1))) | (~((~v90(constB58, 0)) <=> v129(constB58, 0)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9406,plain,
% 6.46/4.67 (~((~v90(constB58, 0)) <=> v129(constB58, 0))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9405, 9386])).
% 6.46/4.67 tff(9407,plain,
% 6.46/4.67 (((~v90(constB58, 0)) <=> v129(constB58, 0)) | (~v90(constB58, 0)) | v129(constB58, 0)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9408,plain,
% 6.46/4.67 (~v90(constB58, 0)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9407, 9406, 9404])).
% 6.46/4.67 tff(9409,plain,
% 6.46/4.67 (((~v90(constB59, 0)) <=> v90(constB58, 0)) | (~v90(constB59, 0)) | v90(constB58, 0)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9410,plain,
% 6.46/4.67 (~v90(constB59, 0)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9409, 9408, 9394])).
% 6.46/4.67 tff(9411,plain,
% 6.46/4.67 ((((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0))) | (~((~v90(constB59, 1)) <=> v90(constB58, 1)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9412,plain,
% 6.46/4.67 (~((~v90(constB59, 1)) <=> v90(constB58, 1))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9411, 2684])).
% 6.46/4.67 tff(9413,plain,
% 6.46/4.67 ((((~v129(constB58, 2)) <=> v127(constB57, 2)) | ((~v129(constB58, 1)) <=> v127(constB57, 1)) | ((~v129(constB58, 0)) <=> v127(constB57, 0))) | (~((~v129(constB58, 1)) <=> v127(constB57, 1)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9414,plain,
% 6.46/4.67 (~((~v129(constB58, 1)) <=> v127(constB57, 1))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9413, 2693])).
% 6.46/4.67 tff(9415,plain,
% 6.46/4.67 ((((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0))) | (~((~v127(constB57, 1)) <=> v130(constB57, 1)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9416,plain,
% 6.46/4.67 (~((~v127(constB57, 1)) <=> v130(constB57, 1))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9415, 2707])).
% 6.46/4.67 tff(9417,plain,
% 6.46/4.67 ((v130(constB57, 2) | v130(constB57, 0) | (~v130(constB57, 1))) | v130(constB57, 1)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9418,plain,
% 6.46/4.67 (v130(constB57, 1)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9417, 9276])).
% 6.46/4.67 tff(9419,plain,
% 6.46/4.67 (((~v127(constB57, 1)) <=> v130(constB57, 1)) | v127(constB57, 1) | (~v130(constB57, 1))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9420,plain,
% 6.46/4.67 (v127(constB57, 1)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9419, 9418, 9416])).
% 6.46/4.67 tff(9421,plain,
% 6.46/4.67 (((~v129(constB58, 1)) <=> v127(constB57, 1)) | v129(constB58, 1) | (~v127(constB57, 1))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9422,plain,
% 6.46/4.67 (v129(constB58, 1)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9421, 9420, 9414])).
% 6.46/4.67 tff(9423,plain,
% 6.46/4.67 ((((~v90(constB58, 0)) <=> v129(constB58, 0)) | ((~v90(constB58, 2)) <=> v129(constB58, 2)) | ((~v90(constB58, 1)) <=> v129(constB58, 1))) | (~((~v90(constB58, 1)) <=> v129(constB58, 1)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9424,plain,
% 6.46/4.67 (~((~v90(constB58, 1)) <=> v129(constB58, 1))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9423, 9386])).
% 6.46/4.67 tff(9425,plain,
% 6.46/4.67 (((~v90(constB58, 1)) <=> v129(constB58, 1)) | v90(constB58, 1) | (~v129(constB58, 1))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9426,plain,
% 6.46/4.67 (v90(constB58, 1)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9425, 9424, 9422])).
% 6.46/4.67 tff(9427,plain,
% 6.46/4.67 (((~v90(constB59, 1)) <=> v90(constB58, 1)) | v90(constB59, 1) | (~v90(constB58, 1))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9428,plain,
% 6.46/4.67 (v90(constB59, 1)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9427, 9426, 9412])).
% 6.46/4.67 tff(9429,plain,
% 6.46/4.67 ((~(v90(constB59, 2) | v90(constB59, 0) | (~v90(constB59, 1)))) | v90(constB59, 2) | v90(constB59, 0) | (~v90(constB59, 1))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9430,plain,
% 6.46/4.67 (~(v90(constB59, 2) | v90(constB59, 0) | (~v90(constB59, 1)))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9429, 9428, 9410, 9392])).
% 6.46/4.67 tff(9431,plain,
% 6.46/4.67 ((~(v121(constB59) <=> (~(v90(constB59, 2) | v90(constB59, 0) | (~v90(constB59, 1)))))) | v121(constB59) | (v90(constB59, 2) | v90(constB59, 0) | (~v90(constB59, 1)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9432,plain,
% 6.46/4.67 (v121(constB59)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9431, 9430, 2650])).
% 6.46/4.67 tff(9433,plain,
% 6.46/4.67 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB59)) | (~(v130(constB59, 2) | (~v130(constB59, 1)) | (~v130(constB59, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB59)) | (~(v130(constB59, 2) | (~v130(constB59, 1)) | (~v130(constB59, 0)))))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9434,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB59)) | (~(v130(constB59, 2) | (~v130(constB59, 1)) | (~v130(constB59, 0)))))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9435,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB59)) | (~(v130(constB59, 2) | (~v130(constB59, 1)) | (~v130(constB59, 0))))),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9434, 9433])).
% 6.46/4.67 tff(9436,plain,
% 6.46/4.67 ((~v121(constB59)) | (~(v130(constB59, 2) | (~v130(constB59, 1)) | (~v130(constB59, 0))))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9435, 5420])).
% 6.46/4.67 tff(9437,plain,
% 6.46/4.67 (~(v130(constB59, 2) | (~v130(constB59, 1)) | (~v130(constB59, 0)))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9436, 9432])).
% 6.46/4.67 tff(9438,plain,
% 6.46/4.67 ((v130(constB59, 2) | (~v130(constB59, 1)) | (~v130(constB59, 0))) | (~v130(constB59, 2))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9439,plain,
% 6.46/4.67 (~v130(constB59, 2)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9438, 9437])).
% 6.46/4.67 tff(9440,plain,
% 6.46/4.67 (((~v127(constB59, 2)) <=> v130(constB59, 2)) | (~v127(constB59, 2)) | v130(constB59, 2)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9441,plain,
% 6.46/4.67 (~v127(constB59, 2)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9440, 9439, 2643])).
% 6.46/4.67 tff(9442,plain,
% 6.46/4.67 (((~v129(constB60, 2)) <=> v127(constB59, 2)) | (~v129(constB60, 2)) | v127(constB59, 2)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9443,plain,
% 6.46/4.67 (~v129(constB60, 2)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9442, 9441, 2629])).
% 6.46/4.67 tff(9444,plain,
% 6.46/4.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9445,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9446,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60)))))),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9445, 9444])).
% 6.46/4.67 tff(9447,plain,
% 6.46/4.67 (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9446, 2623, 273])).
% 6.46/4.67 tff(9448,plain,
% 6.46/4.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9449,plain,
% 6.46/4.67 (((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60)))))) <=> ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9450,plain,
% 6.46/4.67 (((~![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) <=> (~((~v1(constB60)) | (~v102(constB60)))))))),
% 6.46/4.67 inference(monotonicity,[status(thm)],[9449])).
% 6.46/4.67 tff(9451,plain,
% 6.46/4.67 (((~![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) <=> (~((~v1(constB60)) | (~v102(constB60))))))),
% 6.46/4.67 inference(transitivity,[status(thm)],[9450, 9448])).
% 6.46/4.67 tff(9452,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60))))))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9453,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60)))))),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9452, 9451])).
% 6.46/4.67 tff(9454,plain,
% 6.46/4.67 (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9453, 2623, 293])).
% 6.46/4.67 tff(9455,plain,
% 6.46/4.67 (((~![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)))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9456,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9457,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60))),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9456, 9455])).
% 6.46/4.67 tff(9458,plain,
% 6.46/4.67 ((~v102(constB60)) <=> v104(constB60)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9457, 2623, 4609])).
% 6.46/4.67 tff(9459,plain,
% 6.46/4.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59)))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9460,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9461,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59))),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9460, 9459])).
% 6.46/4.67 tff(9462,plain,
% 6.46/4.67 (v104(constB60) <=> v1(constB59)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9461, 2623, 4623])).
% 6.46/4.67 tff(9463,plain,
% 6.46/4.67 ((~(v104(constB60) <=> v1(constB59))) | (~v104(constB60)) | v1(constB59)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9464,plain,
% 6.46/4.67 ((~(v104(constB60) <=> v1(constB59))) | (~v104(constB60))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9463, 2667])).
% 6.46/4.67 tff(9465,plain,
% 6.46/4.67 (~v104(constB60)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9464, 9462])).
% 6.46/4.67 tff(9466,plain,
% 6.46/4.67 ((~((~v102(constB60)) <=> v104(constB60))) | v102(constB60) | v104(constB60)),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9467,plain,
% 6.46/4.67 (v102(constB60)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9466, 9465, 9458])).
% 6.46/4.67 tff(9468,plain,
% 6.46/4.67 (v1(constB60) <=> v1(constB60)),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9469,axiom,(v1(constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_60')).
% 6.46/4.67 tff(9470,plain,
% 6.46/4.67 (v1(constB60)),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9469, 9468])).
% 6.46/4.67 tff(9471,plain,
% 6.46/4.67 ((~((~v1(constB60)) | (~v102(constB60)))) | (~v1(constB60)) | (~v102(constB60))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9472,plain,
% 6.46/4.67 ((~((~v1(constB60)) | (~v102(constB60)))) | (~v102(constB60))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9471, 9470])).
% 6.46/4.67 tff(9473,plain,
% 6.46/4.67 (~((~v1(constB60)) | (~v102(constB60)))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9472, 9467])).
% 6.46/4.67 tff(9474,plain,
% 6.46/4.67 ((~(v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60)))))) | v101(constB60) | ((~v1(constB60)) | (~v102(constB60)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9475,plain,
% 6.46/4.67 (v101(constB60)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9474, 9473, 9454])).
% 6.46/4.67 tff(9476,plain,
% 6.46/4.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59)))),
% 6.46/4.67 inference(rewrite,[status(thm)],[])).
% 6.46/4.67 tff(9477,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9478,plain,
% 6.46/4.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59))),
% 6.46/4.67 inference(modus_ponens,[status(thm)],[9477, 9476])).
% 6.46/4.67 tff(9479,plain,
% 6.46/4.67 (v110(constB60) <=> v108(constB59)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9478, 2623, 4650])).
% 6.46/4.67 tff(9480,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB59) <=> (v111(constB59) | v112(constB59)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9481,plain,
% 6.46/4.67 (v108(constB59) <=> (v111(constB59) | v112(constB59))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9480, 4661])).
% 6.46/4.67 tff(9482,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59)))))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9483,plain,
% 6.46/4.67 (v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59))))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9482, 4673])).
% 6.46/4.67 tff(9484,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB59) <=> (v114(constB59) | v125(constB59)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9485,plain,
% 6.46/4.67 (v113(constB59) <=> (v114(constB59) | v125(constB59))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9484, 4682])).
% 6.46/4.67 tff(9486,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB59) <=> (v115(constB59) | v124(constB59)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9487,plain,
% 6.46/4.67 (v114(constB59) <=> (v115(constB59) | v124(constB59))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9486, 4691])).
% 6.46/4.67 tff(9488,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB59) <=> (v116(constB59) | v123(constB59)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9489,plain,
% 6.46/4.67 (v115(constB59) <=> (v116(constB59) | v123(constB59))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9488, 4700])).
% 6.46/4.67 tff(9490,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB59) <=> (v117(constB59) | v122(constB59)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9491,plain,
% 6.46/4.67 (v116(constB59) <=> (v117(constB59) | v122(constB59))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9490, 4709])).
% 6.46/4.67 tff(9492,plain,
% 6.46/4.67 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB59) <=> (v118(constB59) | v121(constB59)))),
% 6.46/4.67 inference(quant_inst,[status(thm)],[])).
% 6.46/4.67 tff(9493,plain,
% 6.46/4.67 (v117(constB59) <=> (v118(constB59) | v121(constB59))),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9492, 4718])).
% 6.46/4.67 tff(9494,plain,
% 6.46/4.67 ((v118(constB59) | v121(constB59)) | (~v121(constB59))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9495,plain,
% 6.46/4.67 (v118(constB59) | v121(constB59)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9494, 9432])).
% 6.46/4.67 tff(9496,plain,
% 6.46/4.67 ((~(v117(constB59) <=> (v118(constB59) | v121(constB59)))) | v117(constB59) | (~(v118(constB59) | v121(constB59)))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9497,plain,
% 6.46/4.67 (v117(constB59)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9496, 9495, 9493])).
% 6.46/4.67 tff(9498,plain,
% 6.46/4.67 ((v117(constB59) | v122(constB59)) | (~v117(constB59))),
% 6.46/4.67 inference(tautology,[status(thm)],[])).
% 6.46/4.67 tff(9499,plain,
% 6.46/4.67 (v117(constB59) | v122(constB59)),
% 6.46/4.67 inference(unit_resolution,[status(thm)],[9498, 9497])).
% 6.46/4.67 tff(9500,plain,
% 6.46/4.67 ((~(v116(constB59) <=> (v117(constB59) | v122(constB59)))) | v116(constB59) | (~(v117(constB59) | v122(constB59)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9501,plain,
% 6.46/4.68 (v116(constB59)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9500, 9499, 9491])).
% 6.46/4.68 tff(9502,plain,
% 6.46/4.68 ((v116(constB59) | v123(constB59)) | (~v116(constB59))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9503,plain,
% 6.46/4.68 (v116(constB59) | v123(constB59)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9502, 9501])).
% 6.46/4.68 tff(9504,plain,
% 6.46/4.68 ((~(v115(constB59) <=> (v116(constB59) | v123(constB59)))) | v115(constB59) | (~(v116(constB59) | v123(constB59)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9505,plain,
% 6.46/4.68 (v115(constB59)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9504, 9503, 9489])).
% 6.46/4.68 tff(9506,plain,
% 6.46/4.68 ((v115(constB59) | v124(constB59)) | (~v115(constB59))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9507,plain,
% 6.46/4.68 (v115(constB59) | v124(constB59)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9506, 9505])).
% 6.46/4.68 tff(9508,plain,
% 6.46/4.68 ((~(v114(constB59) <=> (v115(constB59) | v124(constB59)))) | v114(constB59) | (~(v115(constB59) | v124(constB59)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9509,plain,
% 6.46/4.68 (v114(constB59)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9508, 9507, 9487])).
% 6.46/4.68 tff(9510,plain,
% 6.46/4.68 ((v114(constB59) | v125(constB59)) | (~v114(constB59))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9511,plain,
% 6.46/4.68 (v114(constB59) | v125(constB59)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9510, 9509])).
% 6.46/4.68 tff(9512,plain,
% 6.46/4.68 ((~(v113(constB59) <=> (v114(constB59) | v125(constB59)))) | v113(constB59) | (~(v114(constB59) | v125(constB59)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9513,plain,
% 6.46/4.68 (v113(constB59)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9512, 9511, 9485])).
% 6.46/4.68 tff(9514,plain,
% 6.46/4.68 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB59)) <=> v111(constB59))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9515,plain,
% 6.46/4.68 ((~v126(constB59)) <=> v111(constB59)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9514, 4761])).
% 6.46/4.68 tff(9516,plain,
% 6.46/4.68 ((~((~v126(constB59)) <=> v111(constB59))) | v126(constB59) | v111(constB59)),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9517,plain,
% 6.46/4.68 ((~((~v126(constB59)) <=> v111(constB59))) | v126(constB59)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9516, 2636])).
% 6.46/4.68 tff(9518,plain,
% 6.46/4.68 (v126(constB59)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9517, 9515])).
% 6.46/4.68 tff(9519,plain,
% 6.46/4.68 ((~((~v113(constB59)) | (~v126(constB59)))) | (~v113(constB59)) | (~v126(constB59))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9520,plain,
% 6.46/4.68 ((~((~v113(constB59)) | (~v126(constB59)))) | (~v113(constB59))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9519, 9518])).
% 6.46/4.68 tff(9521,plain,
% 6.46/4.68 (~((~v113(constB59)) | (~v126(constB59)))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9520, 9513])).
% 6.46/4.68 tff(9522,plain,
% 6.46/4.68 ((~(v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59)))))) | v112(constB59) | ((~v113(constB59)) | (~v126(constB59)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9523,plain,
% 6.46/4.68 (v112(constB59)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9522, 9521, 9483])).
% 6.46/4.68 tff(9524,plain,
% 6.46/4.68 ((v111(constB59) | v112(constB59)) | (~v112(constB59))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9525,plain,
% 6.46/4.68 (v111(constB59) | v112(constB59)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9524, 9523])).
% 6.46/4.68 tff(9526,plain,
% 6.46/4.68 ((~(v108(constB59) <=> (v111(constB59) | v112(constB59)))) | v108(constB59) | (~(v111(constB59) | v112(constB59)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9527,plain,
% 6.46/4.68 (v108(constB59)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9526, 9525, 9481])).
% 6.46/4.68 tff(9528,plain,
% 6.46/4.68 ((~(v110(constB60) <=> v108(constB59))) | v110(constB60) | (~v108(constB59))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9529,plain,
% 6.46/4.68 (v110(constB60)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9528, 9527, 9479])).
% 6.46/4.68 tff(9530,plain,
% 6.46/4.68 ((~((~v101(constB60)) | (~v110(constB60)))) | (~v101(constB60)) | (~v110(constB60))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9531,plain,
% 6.46/4.68 (~((~v101(constB60)) | (~v110(constB60)))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9530, 9529, 9475])).
% 6.46/4.68 tff(9532,plain,
% 6.46/4.68 ((~(v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60)))))) | v100(constB60) | ((~v101(constB60)) | (~v110(constB60)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9533,plain,
% 6.46/4.68 (v100(constB60)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9532, 9531, 9447])).
% 6.46/4.68 tff(9534,plain,
% 6.46/4.68 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB60)) | (~(((~v90(constB60, 2)) <=> v129(constB60, 2)) | ((~v90(constB60, 1)) <=> v129(constB60, 1)) | ((~v90(constB60, 0)) <=> v129(constB60, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB60)) | (~(((~v90(constB60, 2)) <=> v129(constB60, 2)) | ((~v90(constB60, 1)) <=> v129(constB60, 1)) | ((~v90(constB60, 0)) <=> v129(constB60, 0)))))),
% 6.46/4.68 inference(rewrite,[status(thm)],[])).
% 6.46/4.68 tff(9535,plain,
% 6.46/4.68 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB60)) | (~(((~v90(constB60, 2)) <=> v129(constB60, 2)) | ((~v90(constB60, 1)) <=> v129(constB60, 1)) | ((~v90(constB60, 0)) <=> v129(constB60, 0)))))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9536,plain,
% 6.46/4.68 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB60)) | (~(((~v90(constB60, 2)) <=> v129(constB60, 2)) | ((~v90(constB60, 1)) <=> v129(constB60, 1)) | ((~v90(constB60, 0)) <=> v129(constB60, 0))))),
% 6.46/4.68 inference(modus_ponens,[status(thm)],[9535, 9534])).
% 6.46/4.68 tff(9537,plain,
% 6.46/4.68 ((~v100(constB60)) | (~(((~v90(constB60, 2)) <=> v129(constB60, 2)) | ((~v90(constB60, 1)) <=> v129(constB60, 1)) | ((~v90(constB60, 0)) <=> v129(constB60, 0))))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9536, 4794])).
% 6.46/4.68 tff(9538,plain,
% 6.46/4.68 (~(((~v90(constB60, 2)) <=> v129(constB60, 2)) | ((~v90(constB60, 1)) <=> v129(constB60, 1)) | ((~v90(constB60, 0)) <=> v129(constB60, 0)))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9537, 9533])).
% 6.46/4.68 tff(9539,plain,
% 6.46/4.68 ((((~v90(constB60, 2)) <=> v129(constB60, 2)) | ((~v90(constB60, 1)) <=> v129(constB60, 1)) | ((~v90(constB60, 0)) <=> v129(constB60, 0))) | (~((~v90(constB60, 2)) <=> v129(constB60, 2)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9540,plain,
% 6.46/4.68 (~((~v90(constB60, 2)) <=> v129(constB60, 2))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9539, 9538])).
% 6.46/4.68 tff(9541,plain,
% 6.46/4.68 (((~v90(constB60, 2)) <=> v129(constB60, 2)) | (~v90(constB60, 2)) | v129(constB60, 2)),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9542,plain,
% 6.46/4.68 (~v90(constB60, 2)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9541, 9540, 9443])).
% 6.46/4.68 tff(9543,plain,
% 6.46/4.68 (((~v90(constB61, 2)) <=> v90(constB60, 2)) | (~v90(constB61, 2)) | v90(constB60, 2)),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9544,plain,
% 6.46/4.68 (~v90(constB61, 2)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9543, 9542, 2620])).
% 6.46/4.68 tff(9545,plain,
% 6.46/4.68 ((((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0))) | (~((~v90(constB61, 0)) <=> v90(constB60, 0)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9546,plain,
% 6.46/4.68 (~((~v90(constB61, 0)) <=> v90(constB60, 0))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9545, 2618])).
% 6.46/4.68 tff(9547,plain,
% 6.46/4.68 ((((~v129(constB60, 2)) <=> v127(constB59, 2)) | ((~v129(constB60, 1)) <=> v127(constB59, 1)) | ((~v129(constB60, 0)) <=> v127(constB59, 0))) | (~((~v129(constB60, 0)) <=> v127(constB59, 0)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9548,plain,
% 6.46/4.68 (~((~v129(constB60, 0)) <=> v127(constB59, 0))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9547, 2627])).
% 6.46/4.68 tff(9549,plain,
% 6.46/4.68 ((((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0))) | (~((~v127(constB59, 0)) <=> v130(constB59, 0)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9550,plain,
% 6.46/4.68 (~((~v127(constB59, 0)) <=> v130(constB59, 0))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9549, 2641])).
% 6.46/4.68 tff(9551,plain,
% 6.46/4.68 ((v130(constB59, 2) | (~v130(constB59, 1)) | (~v130(constB59, 0))) | v130(constB59, 0)),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9552,plain,
% 6.46/4.68 (v130(constB59, 0)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9551, 9437])).
% 6.46/4.68 tff(9553,plain,
% 6.46/4.68 (((~v127(constB59, 0)) <=> v130(constB59, 0)) | v127(constB59, 0) | (~v130(constB59, 0))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9554,plain,
% 6.46/4.68 (v127(constB59, 0)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9553, 9552, 9550])).
% 6.46/4.68 tff(9555,plain,
% 6.46/4.68 (((~v129(constB60, 0)) <=> v127(constB59, 0)) | v129(constB60, 0) | (~v127(constB59, 0))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9556,plain,
% 6.46/4.68 (v129(constB60, 0)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9555, 9554, 9548])).
% 6.46/4.68 tff(9557,plain,
% 6.46/4.68 ((((~v90(constB60, 2)) <=> v129(constB60, 2)) | ((~v90(constB60, 1)) <=> v129(constB60, 1)) | ((~v90(constB60, 0)) <=> v129(constB60, 0))) | (~((~v90(constB60, 0)) <=> v129(constB60, 0)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9558,plain,
% 6.46/4.68 (~((~v90(constB60, 0)) <=> v129(constB60, 0))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9557, 9538])).
% 6.46/4.68 tff(9559,plain,
% 6.46/4.68 (((~v90(constB60, 0)) <=> v129(constB60, 0)) | v90(constB60, 0) | (~v129(constB60, 0))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9560,plain,
% 6.46/4.68 (v90(constB60, 0)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9559, 9558, 9556])).
% 6.46/4.68 tff(9561,plain,
% 6.46/4.68 (((~v90(constB61, 0)) <=> v90(constB60, 0)) | v90(constB61, 0) | (~v90(constB60, 0))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9562,plain,
% 6.46/4.68 (v90(constB61, 0)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9561, 9560, 9546])).
% 6.46/4.68 tff(9563,plain,
% 6.46/4.68 ((((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0))) | (~((~v90(constB61, 1)) <=> v90(constB60, 1)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9564,plain,
% 6.46/4.68 (~((~v90(constB61, 1)) <=> v90(constB60, 1))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9563, 2618])).
% 6.46/4.68 tff(9565,plain,
% 6.46/4.68 ((((~v129(constB60, 2)) <=> v127(constB59, 2)) | ((~v129(constB60, 1)) <=> v127(constB59, 1)) | ((~v129(constB60, 0)) <=> v127(constB59, 0))) | (~((~v129(constB60, 1)) <=> v127(constB59, 1)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9566,plain,
% 6.46/4.68 (~((~v129(constB60, 1)) <=> v127(constB59, 1))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9565, 2627])).
% 6.46/4.68 tff(9567,plain,
% 6.46/4.68 ((((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0))) | (~((~v127(constB59, 1)) <=> v130(constB59, 1)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9568,plain,
% 6.46/4.68 (~((~v127(constB59, 1)) <=> v130(constB59, 1))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9567, 2641])).
% 6.46/4.68 tff(9569,plain,
% 6.46/4.68 ((v130(constB59, 2) | (~v130(constB59, 1)) | (~v130(constB59, 0))) | v130(constB59, 1)),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9570,plain,
% 6.46/4.68 (v130(constB59, 1)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9569, 9437])).
% 6.46/4.68 tff(9571,plain,
% 6.46/4.68 (((~v127(constB59, 1)) <=> v130(constB59, 1)) | v127(constB59, 1) | (~v130(constB59, 1))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9572,plain,
% 6.46/4.68 (v127(constB59, 1)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9571, 9570, 9568])).
% 6.46/4.68 tff(9573,plain,
% 6.46/4.68 (((~v129(constB60, 1)) <=> v127(constB59, 1)) | v129(constB60, 1) | (~v127(constB59, 1))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9574,plain,
% 6.46/4.68 (v129(constB60, 1)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9573, 9572, 9566])).
% 6.46/4.68 tff(9575,plain,
% 6.46/4.68 ((((~v90(constB60, 2)) <=> v129(constB60, 2)) | ((~v90(constB60, 1)) <=> v129(constB60, 1)) | ((~v90(constB60, 0)) <=> v129(constB60, 0))) | (~((~v90(constB60, 1)) <=> v129(constB60, 1)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9576,plain,
% 6.46/4.68 (~((~v90(constB60, 1)) <=> v129(constB60, 1))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9575, 9538])).
% 6.46/4.68 tff(9577,plain,
% 6.46/4.68 (((~v90(constB60, 1)) <=> v129(constB60, 1)) | v90(constB60, 1) | (~v129(constB60, 1))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9578,plain,
% 6.46/4.68 (v90(constB60, 1)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9577, 9576, 9574])).
% 6.46/4.68 tff(9579,plain,
% 6.46/4.68 (((~v90(constB61, 1)) <=> v90(constB60, 1)) | v90(constB61, 1) | (~v90(constB60, 1))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9580,plain,
% 6.46/4.68 (v90(constB61, 1)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9579, 9578, 9564])).
% 6.46/4.68 tff(9581,plain,
% 6.46/4.68 ((~(v90(constB61, 2) | (~v90(constB61, 1)) | (~v90(constB61, 0)))) | v90(constB61, 2) | (~v90(constB61, 1)) | (~v90(constB61, 0))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9582,plain,
% 6.46/4.68 (~(v90(constB61, 2) | (~v90(constB61, 1)) | (~v90(constB61, 0)))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9581, 9580, 9562, 9544])).
% 6.46/4.68 tff(9583,plain,
% 6.46/4.68 ((~(v122(constB61) <=> (~(v90(constB61, 2) | (~v90(constB61, 1)) | (~v90(constB61, 0)))))) | v122(constB61) | (v90(constB61, 2) | (~v90(constB61, 1)) | (~v90(constB61, 0)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9584,plain,
% 6.46/4.68 (v122(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9583, 9582, 2584])).
% 6.46/4.68 tff(9585,plain,
% 6.46/4.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB61)) | (~(v130(constB61, 1) | v130(constB61, 0) | (~v130(constB61, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB61)) | (~(v130(constB61, 1) | v130(constB61, 0) | (~v130(constB61, 2)))))),
% 6.46/4.68 inference(rewrite,[status(thm)],[])).
% 6.46/4.68 tff(9586,plain,
% 6.46/4.68 (((~v122(constB61)) | (~(v130(constB61, 0) | v130(constB61, 1) | (~v130(constB61, 2))))) <=> ((~v122(constB61)) | (~(v130(constB61, 1) | v130(constB61, 0) | (~v130(constB61, 2)))))),
% 6.46/4.68 inference(rewrite,[status(thm)],[])).
% 6.46/4.68 tff(9587,plain,
% 6.46/4.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB61)) | (~(v130(constB61, 0) | v130(constB61, 1) | (~v130(constB61, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB61)) | (~(v130(constB61, 1) | v130(constB61, 0) | (~v130(constB61, 2))))))),
% 6.46/4.68 inference(monotonicity,[status(thm)],[9586])).
% 6.46/4.68 tff(9588,plain,
% 6.46/4.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB61)) | (~(v130(constB61, 0) | v130(constB61, 1) | (~v130(constB61, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB61)) | (~(v130(constB61, 1) | v130(constB61, 0) | (~v130(constB61, 2)))))),
% 6.46/4.68 inference(transitivity,[status(thm)],[9587, 9585])).
% 6.46/4.68 tff(9589,plain,
% 6.46/4.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB61)) | (~(v130(constB61, 0) | v130(constB61, 1) | (~v130(constB61, 2)))))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9590,plain,
% 6.46/4.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB61)) | (~(v130(constB61, 1) | v130(constB61, 0) | (~v130(constB61, 2))))),
% 6.46/4.68 inference(modus_ponens,[status(thm)],[9589, 9588])).
% 6.46/4.68 tff(9591,plain,
% 6.46/4.68 ((~v122(constB61)) | (~(v130(constB61, 1) | v130(constB61, 0) | (~v130(constB61, 2))))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9590, 5588])).
% 6.46/4.68 tff(9592,plain,
% 6.46/4.68 (~(v130(constB61, 1) | v130(constB61, 0) | (~v130(constB61, 2)))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9591, 9584])).
% 6.46/4.68 tff(9593,plain,
% 6.46/4.68 ((v130(constB61, 1) | v130(constB61, 0) | (~v130(constB61, 2))) | v130(constB61, 2)),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9594,plain,
% 6.46/4.68 (v130(constB61, 2)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9593, 9592])).
% 6.46/4.68 tff(9595,plain,
% 6.46/4.68 (((~v127(constB61, 2)) <=> v130(constB61, 2)) | v127(constB61, 2) | (~v130(constB61, 2))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9596,plain,
% 6.46/4.68 (v127(constB61, 2)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9595, 9594, 2577])).
% 6.46/4.68 tff(9597,plain,
% 6.46/4.68 (((~v129(constB62, 2)) <=> v127(constB61, 2)) | v129(constB62, 2) | (~v127(constB61, 2))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9598,plain,
% 6.46/4.68 (v129(constB62, 2)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9597, 9596, 2563])).
% 6.46/4.68 tff(9599,plain,
% 6.46/4.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))))),
% 6.46/4.68 inference(rewrite,[status(thm)],[])).
% 6.46/4.68 tff(9600,plain,
% 6.46/4.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9601,plain,
% 6.46/4.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62)))))),
% 6.46/4.68 inference(modus_ponens,[status(thm)],[9600, 9599])).
% 6.46/4.68 tff(9602,plain,
% 6.46/4.68 (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9601, 2557, 273])).
% 6.46/4.68 tff(9603,plain,
% 6.46/4.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))),
% 6.46/4.68 inference(rewrite,[status(thm)],[])).
% 6.46/4.68 tff(9604,plain,
% 6.46/4.68 (((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62)))))) <=> ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))),
% 6.46/4.68 inference(rewrite,[status(thm)],[])).
% 6.46/4.68 tff(9605,plain,
% 6.46/4.68 (((~![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) <=> (~((~v1(constB62)) | (~v102(constB62)))))))),
% 6.46/4.68 inference(monotonicity,[status(thm)],[9604])).
% 6.46/4.68 tff(9606,plain,
% 6.46/4.68 (((~![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) <=> (~((~v1(constB62)) | (~v102(constB62))))))),
% 6.46/4.68 inference(transitivity,[status(thm)],[9605, 9603])).
% 6.46/4.68 tff(9607,plain,
% 6.46/4.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62))))))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9608,plain,
% 6.46/4.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62)))))),
% 6.46/4.68 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 6.46/4.68 tff(9609,plain,
% 6.46/4.68 (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9608, 2557, 293])).
% 6.46/4.68 tff(9610,plain,
% 6.46/4.68 (((~![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)))),
% 6.46/4.68 inference(rewrite,[status(thm)],[])).
% 6.46/4.68 tff(9611,plain,
% 6.46/4.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62)))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9612,plain,
% 6.46/4.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62))),
% 6.46/4.68 inference(modus_ponens,[status(thm)],[9611, 9610])).
% 6.46/4.68 tff(9613,plain,
% 6.46/4.68 ((~v102(constB62)) <=> v104(constB62)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9612, 2557, 4609])).
% 6.46/4.68 tff(9614,plain,
% 6.46/4.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61)))),
% 6.46/4.68 inference(rewrite,[status(thm)],[])).
% 6.46/4.68 tff(9615,plain,
% 6.46/4.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61)))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9616,plain,
% 6.46/4.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61))),
% 6.46/4.68 inference(modus_ponens,[status(thm)],[9615, 9614])).
% 6.46/4.68 tff(9617,plain,
% 6.46/4.68 (v104(constB62) <=> v1(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9616, 2557, 4623])).
% 6.46/4.68 tff(9618,plain,
% 6.46/4.68 ((~(v104(constB62) <=> v1(constB61))) | (~v104(constB62)) | v1(constB61)),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9619,plain,
% 6.46/4.68 ((~(v104(constB62) <=> v1(constB61))) | (~v104(constB62))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9618, 2601])).
% 6.46/4.68 tff(9620,plain,
% 6.46/4.68 (~v104(constB62)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9619, 9617])).
% 6.46/4.68 tff(9621,plain,
% 6.46/4.68 ((~((~v102(constB62)) <=> v104(constB62))) | v102(constB62) | v104(constB62)),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9622,plain,
% 6.46/4.68 (v102(constB62)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9621, 9620, 9613])).
% 6.46/4.68 tff(9623,plain,
% 6.46/4.68 (v1(constB62) <=> v1(constB62)),
% 6.46/4.68 inference(rewrite,[status(thm)],[])).
% 6.46/4.68 tff(9624,axiom,(v1(constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_62')).
% 6.46/4.68 tff(9625,plain,
% 6.46/4.68 (v1(constB62)),
% 6.46/4.68 inference(modus_ponens,[status(thm)],[9624, 9623])).
% 6.46/4.68 tff(9626,plain,
% 6.46/4.68 ((~((~v1(constB62)) | (~v102(constB62)))) | (~v1(constB62)) | (~v102(constB62))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9627,plain,
% 6.46/4.68 ((~((~v1(constB62)) | (~v102(constB62)))) | (~v102(constB62))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9626, 9625])).
% 6.46/4.68 tff(9628,plain,
% 6.46/4.68 (~((~v1(constB62)) | (~v102(constB62)))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9627, 9622])).
% 6.46/4.68 tff(9629,plain,
% 6.46/4.68 ((~(v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62)))))) | v101(constB62) | ((~v1(constB62)) | (~v102(constB62)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9630,plain,
% 6.46/4.68 (v101(constB62)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9629, 9628, 9609])).
% 6.46/4.68 tff(9631,plain,
% 6.46/4.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61)))),
% 6.46/4.68 inference(rewrite,[status(thm)],[])).
% 6.46/4.68 tff(9632,plain,
% 6.46/4.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61)))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9633,plain,
% 6.46/4.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61))),
% 6.46/4.68 inference(modus_ponens,[status(thm)],[9632, 9631])).
% 6.46/4.68 tff(9634,plain,
% 6.46/4.68 (v110(constB62) <=> v108(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9633, 2557, 4650])).
% 6.46/4.68 tff(9635,plain,
% 6.46/4.68 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB61) <=> (v111(constB61) | v112(constB61)))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9636,plain,
% 6.46/4.68 (v108(constB61) <=> (v111(constB61) | v112(constB61))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9635, 4661])).
% 6.46/4.68 tff(9637,plain,
% 6.46/4.68 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61)))))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9638,plain,
% 6.46/4.68 (v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61))))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9637, 4673])).
% 6.46/4.68 tff(9639,plain,
% 6.46/4.68 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB61) <=> (v114(constB61) | v125(constB61)))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9640,plain,
% 6.46/4.68 (v113(constB61) <=> (v114(constB61) | v125(constB61))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9639, 4682])).
% 6.46/4.68 tff(9641,plain,
% 6.46/4.68 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB61) <=> (v115(constB61) | v124(constB61)))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9642,plain,
% 6.46/4.68 (v114(constB61) <=> (v115(constB61) | v124(constB61))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9641, 4691])).
% 6.46/4.68 tff(9643,plain,
% 6.46/4.68 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB61) <=> (v116(constB61) | v123(constB61)))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9644,plain,
% 6.46/4.68 (v115(constB61) <=> (v116(constB61) | v123(constB61))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9643, 4700])).
% 6.46/4.68 tff(9645,plain,
% 6.46/4.68 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB61) <=> (v117(constB61) | v122(constB61)))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9646,plain,
% 6.46/4.68 (v116(constB61) <=> (v117(constB61) | v122(constB61))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9645, 4709])).
% 6.46/4.68 tff(9647,plain,
% 6.46/4.68 ((v117(constB61) | v122(constB61)) | (~v122(constB61))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9648,plain,
% 6.46/4.68 (v117(constB61) | v122(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9647, 9584])).
% 6.46/4.68 tff(9649,plain,
% 6.46/4.68 ((~(v116(constB61) <=> (v117(constB61) | v122(constB61)))) | v116(constB61) | (~(v117(constB61) | v122(constB61)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9650,plain,
% 6.46/4.68 (v116(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9649, 9648, 9646])).
% 6.46/4.68 tff(9651,plain,
% 6.46/4.68 ((v116(constB61) | v123(constB61)) | (~v116(constB61))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9652,plain,
% 6.46/4.68 (v116(constB61) | v123(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9651, 9650])).
% 6.46/4.68 tff(9653,plain,
% 6.46/4.68 ((~(v115(constB61) <=> (v116(constB61) | v123(constB61)))) | v115(constB61) | (~(v116(constB61) | v123(constB61)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9654,plain,
% 6.46/4.68 (v115(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9653, 9652, 9644])).
% 6.46/4.68 tff(9655,plain,
% 6.46/4.68 ((v115(constB61) | v124(constB61)) | (~v115(constB61))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9656,plain,
% 6.46/4.68 (v115(constB61) | v124(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9655, 9654])).
% 6.46/4.68 tff(9657,plain,
% 6.46/4.68 ((~(v114(constB61) <=> (v115(constB61) | v124(constB61)))) | v114(constB61) | (~(v115(constB61) | v124(constB61)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9658,plain,
% 6.46/4.68 (v114(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9657, 9656, 9642])).
% 6.46/4.68 tff(9659,plain,
% 6.46/4.68 ((v114(constB61) | v125(constB61)) | (~v114(constB61))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9660,plain,
% 6.46/4.68 (v114(constB61) | v125(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9659, 9658])).
% 6.46/4.68 tff(9661,plain,
% 6.46/4.68 ((~(v113(constB61) <=> (v114(constB61) | v125(constB61)))) | v113(constB61) | (~(v114(constB61) | v125(constB61)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9662,plain,
% 6.46/4.68 (v113(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9661, 9660, 9640])).
% 6.46/4.68 tff(9663,plain,
% 6.46/4.68 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB61)) <=> v111(constB61))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9664,plain,
% 6.46/4.68 ((~v126(constB61)) <=> v111(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9663, 4761])).
% 6.46/4.68 tff(9665,plain,
% 6.46/4.68 ((~((~v126(constB61)) <=> v111(constB61))) | v126(constB61) | v111(constB61)),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9666,plain,
% 6.46/4.68 ((~((~v126(constB61)) <=> v111(constB61))) | v126(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9665, 2570])).
% 6.46/4.68 tff(9667,plain,
% 6.46/4.68 (v126(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9666, 9664])).
% 6.46/4.68 tff(9668,plain,
% 6.46/4.68 ((~((~v113(constB61)) | (~v126(constB61)))) | (~v113(constB61)) | (~v126(constB61))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9669,plain,
% 6.46/4.68 ((~((~v113(constB61)) | (~v126(constB61)))) | (~v113(constB61))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9668, 9667])).
% 6.46/4.68 tff(9670,plain,
% 6.46/4.68 (~((~v113(constB61)) | (~v126(constB61)))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9669, 9662])).
% 6.46/4.68 tff(9671,plain,
% 6.46/4.68 ((~(v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61)))))) | v112(constB61) | ((~v113(constB61)) | (~v126(constB61)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9672,plain,
% 6.46/4.68 (v112(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9671, 9670, 9638])).
% 6.46/4.68 tff(9673,plain,
% 6.46/4.68 ((v111(constB61) | v112(constB61)) | (~v112(constB61))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9674,plain,
% 6.46/4.68 (v111(constB61) | v112(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9673, 9672])).
% 6.46/4.68 tff(9675,plain,
% 6.46/4.68 ((~(v108(constB61) <=> (v111(constB61) | v112(constB61)))) | v108(constB61) | (~(v111(constB61) | v112(constB61)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9676,plain,
% 6.46/4.68 (v108(constB61)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9675, 9674, 9636])).
% 6.46/4.68 tff(9677,plain,
% 6.46/4.68 ((~(v110(constB62) <=> v108(constB61))) | v110(constB62) | (~v108(constB61))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9678,plain,
% 6.46/4.68 (v110(constB62)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9677, 9676, 9634])).
% 6.46/4.68 tff(9679,plain,
% 6.46/4.68 ((~((~v101(constB62)) | (~v110(constB62)))) | (~v101(constB62)) | (~v110(constB62))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9680,plain,
% 6.46/4.68 (~((~v101(constB62)) | (~v110(constB62)))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9679, 9678, 9630])).
% 6.46/4.68 tff(9681,plain,
% 6.46/4.68 ((~(v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62)))))) | v100(constB62) | ((~v101(constB62)) | (~v110(constB62)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9682,plain,
% 6.46/4.68 (v100(constB62)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9681, 9680, 9602])).
% 6.46/4.68 tff(9683,plain,
% 6.46/4.68 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB62)) | (~(((~v90(constB62, 0)) <=> v129(constB62, 0)) | ((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB62)) | (~(((~v90(constB62, 0)) <=> v129(constB62, 0)) | ((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1)))))),
% 6.46/4.68 inference(rewrite,[status(thm)],[])).
% 6.46/4.68 tff(9684,plain,
% 6.46/4.68 (((~v100(constB62)) | (~(((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1)) | ((~v90(constB62, 0)) <=> v129(constB62, 0))))) <=> ((~v100(constB62)) | (~(((~v90(constB62, 0)) <=> v129(constB62, 0)) | ((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1)))))),
% 6.46/4.68 inference(rewrite,[status(thm)],[])).
% 6.46/4.68 tff(9685,plain,
% 6.46/4.68 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB62)) | (~(((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1)) | ((~v90(constB62, 0)) <=> v129(constB62, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB62)) | (~(((~v90(constB62, 0)) <=> v129(constB62, 0)) | ((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1))))))),
% 6.46/4.68 inference(monotonicity,[status(thm)],[9684])).
% 6.46/4.68 tff(9686,plain,
% 6.46/4.68 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB62)) | (~(((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1)) | ((~v90(constB62, 0)) <=> v129(constB62, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB62)) | (~(((~v90(constB62, 0)) <=> v129(constB62, 0)) | ((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1)))))),
% 6.46/4.68 inference(transitivity,[status(thm)],[9685, 9683])).
% 6.46/4.68 tff(9687,plain,
% 6.46/4.68 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB62)) | (~(((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1)) | ((~v90(constB62, 0)) <=> v129(constB62, 0)))))),
% 6.46/4.68 inference(quant_inst,[status(thm)],[])).
% 6.46/4.68 tff(9688,plain,
% 6.46/4.68 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB62)) | (~(((~v90(constB62, 0)) <=> v129(constB62, 0)) | ((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1))))),
% 6.46/4.68 inference(modus_ponens,[status(thm)],[9687, 9686])).
% 6.46/4.68 tff(9689,plain,
% 6.46/4.68 ((~v100(constB62)) | (~(((~v90(constB62, 0)) <=> v129(constB62, 0)) | ((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1))))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9688, 4794])).
% 6.46/4.68 tff(9690,plain,
% 6.46/4.68 (~(((~v90(constB62, 0)) <=> v129(constB62, 0)) | ((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1)))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9689, 9682])).
% 6.46/4.68 tff(9691,plain,
% 6.46/4.68 ((((~v90(constB62, 0)) <=> v129(constB62, 0)) | ((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1))) | (~((~v90(constB62, 2)) <=> v129(constB62, 2)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9692,plain,
% 6.46/4.68 (~((~v90(constB62, 2)) <=> v129(constB62, 2))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9691, 9690])).
% 6.46/4.68 tff(9693,plain,
% 6.46/4.68 (((~v90(constB62, 2)) <=> v129(constB62, 2)) | v90(constB62, 2) | (~v129(constB62, 2))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9694,plain,
% 6.46/4.68 (v90(constB62, 2)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9693, 9692, 9598])).
% 6.46/4.68 tff(9695,plain,
% 6.46/4.68 (((~v90(constB63, 2)) <=> v90(constB62, 2)) | v90(constB63, 2) | (~v90(constB62, 2))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9696,plain,
% 6.46/4.68 (v90(constB63, 2)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9695, 9694, 2554])).
% 6.46/4.68 tff(9697,plain,
% 6.46/4.68 ((((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0))) | (~((~v90(constB63, 0)) <=> v90(constB62, 0)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9698,plain,
% 6.46/4.68 (~((~v90(constB63, 0)) <=> v90(constB62, 0))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9697, 2552])).
% 6.46/4.68 tff(9699,plain,
% 6.46/4.68 ((((~v129(constB62, 2)) <=> v127(constB61, 2)) | ((~v129(constB62, 1)) <=> v127(constB61, 1)) | ((~v129(constB62, 0)) <=> v127(constB61, 0))) | (~((~v129(constB62, 0)) <=> v127(constB61, 0)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9700,plain,
% 6.46/4.68 (~((~v129(constB62, 0)) <=> v127(constB61, 0))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9699, 2561])).
% 6.46/4.68 tff(9701,plain,
% 6.46/4.68 ((((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0))) | (~((~v127(constB61, 0)) <=> v130(constB61, 0)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9702,plain,
% 6.46/4.68 (~((~v127(constB61, 0)) <=> v130(constB61, 0))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9701, 2575])).
% 6.46/4.68 tff(9703,plain,
% 6.46/4.68 ((v130(constB61, 1) | v130(constB61, 0) | (~v130(constB61, 2))) | (~v130(constB61, 0))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9704,plain,
% 6.46/4.68 (~v130(constB61, 0)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9703, 9592])).
% 6.46/4.68 tff(9705,plain,
% 6.46/4.68 (((~v127(constB61, 0)) <=> v130(constB61, 0)) | (~v127(constB61, 0)) | v130(constB61, 0)),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9706,plain,
% 6.46/4.68 (~v127(constB61, 0)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9705, 9704, 9702])).
% 6.46/4.68 tff(9707,plain,
% 6.46/4.68 (((~v129(constB62, 0)) <=> v127(constB61, 0)) | (~v129(constB62, 0)) | v127(constB61, 0)),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9708,plain,
% 6.46/4.68 (~v129(constB62, 0)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9707, 9706, 9700])).
% 6.46/4.68 tff(9709,plain,
% 6.46/4.68 ((((~v90(constB62, 0)) <=> v129(constB62, 0)) | ((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1))) | (~((~v90(constB62, 0)) <=> v129(constB62, 0)))),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9710,plain,
% 6.46/4.68 (~((~v90(constB62, 0)) <=> v129(constB62, 0))),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9709, 9690])).
% 6.46/4.68 tff(9711,plain,
% 6.46/4.68 (((~v90(constB62, 0)) <=> v129(constB62, 0)) | (~v90(constB62, 0)) | v129(constB62, 0)),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9712,plain,
% 6.46/4.68 (~v90(constB62, 0)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9711, 9710, 9708])).
% 6.46/4.68 tff(9713,plain,
% 6.46/4.68 (((~v90(constB63, 0)) <=> v90(constB62, 0)) | (~v90(constB63, 0)) | v90(constB62, 0)),
% 6.46/4.68 inference(tautology,[status(thm)],[])).
% 6.46/4.68 tff(9714,plain,
% 6.46/4.68 (~v90(constB63, 0)),
% 6.46/4.68 inference(unit_resolution,[status(thm)],[9713, 9712, 9698])).
% 6.46/4.68 tff(9715,plain,
% 6.46/4.68 ((((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0))) | (~((~v90(constB63, 1)) <=> v90(constB62, 1)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9716,plain,
% 6.46/4.69 (~((~v90(constB63, 1)) <=> v90(constB62, 1))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9715, 2552])).
% 6.46/4.69 tff(9717,plain,
% 6.46/4.69 ((((~v129(constB62, 2)) <=> v127(constB61, 2)) | ((~v129(constB62, 1)) <=> v127(constB61, 1)) | ((~v129(constB62, 0)) <=> v127(constB61, 0))) | (~((~v129(constB62, 1)) <=> v127(constB61, 1)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9718,plain,
% 6.46/4.69 (~((~v129(constB62, 1)) <=> v127(constB61, 1))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9717, 2561])).
% 6.46/4.69 tff(9719,plain,
% 6.46/4.69 ((((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0))) | (~((~v127(constB61, 1)) <=> v130(constB61, 1)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9720,plain,
% 6.46/4.69 (~((~v127(constB61, 1)) <=> v130(constB61, 1))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9719, 2575])).
% 6.46/4.69 tff(9721,plain,
% 6.46/4.69 ((v130(constB61, 1) | v130(constB61, 0) | (~v130(constB61, 2))) | (~v130(constB61, 1))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9722,plain,
% 6.46/4.69 (~v130(constB61, 1)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9721, 9592])).
% 6.46/4.69 tff(9723,plain,
% 6.46/4.69 (((~v127(constB61, 1)) <=> v130(constB61, 1)) | (~v127(constB61, 1)) | v130(constB61, 1)),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9724,plain,
% 6.46/4.69 (~v127(constB61, 1)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9723, 9722, 9720])).
% 6.46/4.69 tff(9725,plain,
% 6.46/4.69 (((~v129(constB62, 1)) <=> v127(constB61, 1)) | (~v129(constB62, 1)) | v127(constB61, 1)),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9726,plain,
% 6.46/4.69 (~v129(constB62, 1)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9725, 9724, 9718])).
% 6.46/4.69 tff(9727,plain,
% 6.46/4.69 ((((~v90(constB62, 0)) <=> v129(constB62, 0)) | ((~v90(constB62, 2)) <=> v129(constB62, 2)) | ((~v90(constB62, 1)) <=> v129(constB62, 1))) | (~((~v90(constB62, 1)) <=> v129(constB62, 1)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9728,plain,
% 6.46/4.69 (~((~v90(constB62, 1)) <=> v129(constB62, 1))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9727, 9690])).
% 6.46/4.69 tff(9729,plain,
% 6.46/4.69 (((~v90(constB62, 1)) <=> v129(constB62, 1)) | (~v90(constB62, 1)) | v129(constB62, 1)),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9730,plain,
% 6.46/4.69 (~v90(constB62, 1)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9729, 9728, 9726])).
% 6.46/4.69 tff(9731,plain,
% 6.46/4.69 (((~v90(constB63, 1)) <=> v90(constB62, 1)) | (~v90(constB63, 1)) | v90(constB62, 1)),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9732,plain,
% 6.46/4.69 (~v90(constB63, 1)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9731, 9730, 9716])).
% 6.46/4.69 tff(9733,plain,
% 6.46/4.69 ((~(v90(constB63, 1) | v90(constB63, 0) | (~v90(constB63, 2)))) | v90(constB63, 1) | v90(constB63, 0) | (~v90(constB63, 2))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9734,plain,
% 6.46/4.69 (~(v90(constB63, 1) | v90(constB63, 0) | (~v90(constB63, 2)))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9733, 9732, 9714, 9696])).
% 6.46/4.69 tff(9735,plain,
% 6.46/4.69 ((~(v123(constB63) <=> (~(v90(constB63, 1) | v90(constB63, 0) | (~v90(constB63, 2)))))) | v123(constB63) | (v90(constB63, 1) | v90(constB63, 0) | (~v90(constB63, 2)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9736,plain,
% 6.46/4.69 (v123(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9735, 9734, 2518])).
% 6.46/4.69 tff(9737,plain,
% 6.46/4.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB63)) | (~(v130(constB63, 0) | (~v130(constB63, 2)) | (~v130(constB63, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB63)) | (~(v130(constB63, 0) | (~v130(constB63, 2)) | (~v130(constB63, 1)))))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9738,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB63)) | (~(v130(constB63, 0) | (~v130(constB63, 2)) | (~v130(constB63, 1)))))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9739,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB63)) | (~(v130(constB63, 0) | (~v130(constB63, 2)) | (~v130(constB63, 1))))),
% 6.46/4.69 inference(modus_ponens,[status(thm)],[9738, 9737])).
% 6.46/4.69 tff(9740,plain,
% 6.46/4.69 ((~v123(constB63)) | (~(v130(constB63, 0) | (~v130(constB63, 2)) | (~v130(constB63, 1))))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9739, 4861])).
% 6.46/4.69 tff(9741,plain,
% 6.46/4.69 (~(v130(constB63, 0) | (~v130(constB63, 2)) | (~v130(constB63, 1)))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9740, 9736])).
% 6.46/4.69 tff(9742,plain,
% 6.46/4.69 ((v130(constB63, 0) | (~v130(constB63, 2)) | (~v130(constB63, 1))) | v130(constB63, 2)),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9743,plain,
% 6.46/4.69 (v130(constB63, 2)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9742, 9741])).
% 6.46/4.69 tff(9744,plain,
% 6.46/4.69 (((~v127(constB63, 2)) <=> v130(constB63, 2)) | v127(constB63, 2) | (~v130(constB63, 2))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9745,plain,
% 6.46/4.69 (v127(constB63, 2)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9744, 9743, 2511])).
% 6.46/4.69 tff(9746,plain,
% 6.46/4.69 (((~v129(constB64, 2)) <=> v127(constB63, 2)) | v129(constB64, 2) | (~v127(constB63, 2))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9747,plain,
% 6.46/4.69 (v129(constB64, 2)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9746, 9745, 2497])).
% 6.46/4.69 tff(9748,plain,
% 6.46/4.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9749,plain,
% 6.46/4.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9750,plain,
% 6.46/4.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64)))))),
% 6.46/4.69 inference(modus_ponens,[status(thm)],[9749, 9748])).
% 6.46/4.69 tff(9751,plain,
% 6.46/4.69 (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9750, 2491, 273])).
% 6.46/4.69 tff(9752,plain,
% 6.46/4.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9753,plain,
% 6.46/4.69 (((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64)))))) <=> ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9754,plain,
% 6.46/4.69 (((~![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) <=> (~((~v1(constB64)) | (~v102(constB64)))))))),
% 6.46/4.69 inference(monotonicity,[status(thm)],[9753])).
% 6.46/4.69 tff(9755,plain,
% 6.46/4.69 (((~![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) <=> (~((~v1(constB64)) | (~v102(constB64))))))),
% 6.46/4.69 inference(transitivity,[status(thm)],[9754, 9752])).
% 6.46/4.69 tff(9756,plain,
% 6.46/4.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64))))))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9757,plain,
% 6.46/4.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64)))))),
% 6.46/4.69 inference(modus_ponens,[status(thm)],[9756, 9755])).
% 6.46/4.69 tff(9758,plain,
% 6.46/4.69 (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9757, 2491, 293])).
% 6.46/4.69 tff(9759,plain,
% 6.46/4.69 (((~![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)))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9760,plain,
% 6.46/4.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64)))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9761,plain,
% 6.46/4.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64))),
% 6.46/4.69 inference(modus_ponens,[status(thm)],[9760, 9759])).
% 6.46/4.69 tff(9762,plain,
% 6.46/4.69 ((~v102(constB64)) <=> v104(constB64)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9761, 2491, 4609])).
% 6.46/4.69 tff(9763,plain,
% 6.46/4.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63)))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9764,plain,
% 6.46/4.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63)))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9765,plain,
% 6.46/4.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63))),
% 6.46/4.69 inference(modus_ponens,[status(thm)],[9764, 9763])).
% 6.46/4.69 tff(9766,plain,
% 6.46/4.69 (v104(constB64) <=> v1(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9765, 2491, 4623])).
% 6.46/4.69 tff(9767,plain,
% 6.46/4.69 ((~(v104(constB64) <=> v1(constB63))) | (~v104(constB64)) | v1(constB63)),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9768,plain,
% 6.46/4.69 ((~(v104(constB64) <=> v1(constB63))) | (~v104(constB64))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9767, 2535])).
% 6.46/4.69 tff(9769,plain,
% 6.46/4.69 (~v104(constB64)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9768, 9766])).
% 6.46/4.69 tff(9770,plain,
% 6.46/4.69 ((~((~v102(constB64)) <=> v104(constB64))) | v102(constB64) | v104(constB64)),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9771,plain,
% 6.46/4.69 (v102(constB64)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9770, 9769, 9762])).
% 6.46/4.69 tff(9772,plain,
% 6.46/4.69 (v1(constB64) <=> v1(constB64)),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9773,axiom,(v1(constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_64')).
% 6.46/4.69 tff(9774,plain,
% 6.46/4.69 (v1(constB64)),
% 6.46/4.69 inference(modus_ponens,[status(thm)],[9773, 9772])).
% 6.46/4.69 tff(9775,plain,
% 6.46/4.69 ((~((~v1(constB64)) | (~v102(constB64)))) | (~v1(constB64)) | (~v102(constB64))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9776,plain,
% 6.46/4.69 ((~((~v1(constB64)) | (~v102(constB64)))) | (~v102(constB64))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9775, 9774])).
% 6.46/4.69 tff(9777,plain,
% 6.46/4.69 (~((~v1(constB64)) | (~v102(constB64)))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9776, 9771])).
% 6.46/4.69 tff(9778,plain,
% 6.46/4.69 ((~(v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64)))))) | v101(constB64) | ((~v1(constB64)) | (~v102(constB64)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9779,plain,
% 6.46/4.69 (v101(constB64)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9778, 9777, 9758])).
% 6.46/4.69 tff(9780,plain,
% 6.46/4.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63)))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9781,plain,
% 6.46/4.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63)))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9782,plain,
% 6.46/4.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63))),
% 6.46/4.69 inference(modus_ponens,[status(thm)],[9781, 9780])).
% 6.46/4.69 tff(9783,plain,
% 6.46/4.69 (v110(constB64) <=> v108(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9782, 2491, 4650])).
% 6.46/4.69 tff(9784,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB63) <=> (v111(constB63) | v112(constB63)))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9785,plain,
% 6.46/4.69 (v108(constB63) <=> (v111(constB63) | v112(constB63))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9784, 4661])).
% 6.46/4.69 tff(9786,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63)))))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9787,plain,
% 6.46/4.69 (v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63))))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9786, 4673])).
% 6.46/4.69 tff(9788,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB63) <=> (v114(constB63) | v125(constB63)))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9789,plain,
% 6.46/4.69 (v113(constB63) <=> (v114(constB63) | v125(constB63))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9788, 4682])).
% 6.46/4.69 tff(9790,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB63) <=> (v115(constB63) | v124(constB63)))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9791,plain,
% 6.46/4.69 (v114(constB63) <=> (v115(constB63) | v124(constB63))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9790, 4691])).
% 6.46/4.69 tff(9792,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB63) <=> (v116(constB63) | v123(constB63)))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9793,plain,
% 6.46/4.69 (v115(constB63) <=> (v116(constB63) | v123(constB63))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9792, 4700])).
% 6.46/4.69 tff(9794,plain,
% 6.46/4.69 ((v116(constB63) | v123(constB63)) | (~v123(constB63))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9795,plain,
% 6.46/4.69 (v116(constB63) | v123(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9794, 9736])).
% 6.46/4.69 tff(9796,plain,
% 6.46/4.69 ((~(v115(constB63) <=> (v116(constB63) | v123(constB63)))) | v115(constB63) | (~(v116(constB63) | v123(constB63)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9797,plain,
% 6.46/4.69 (v115(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9796, 9795, 9793])).
% 6.46/4.69 tff(9798,plain,
% 6.46/4.69 ((v115(constB63) | v124(constB63)) | (~v115(constB63))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9799,plain,
% 6.46/4.69 (v115(constB63) | v124(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9798, 9797])).
% 6.46/4.69 tff(9800,plain,
% 6.46/4.69 ((~(v114(constB63) <=> (v115(constB63) | v124(constB63)))) | v114(constB63) | (~(v115(constB63) | v124(constB63)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9801,plain,
% 6.46/4.69 (v114(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9800, 9799, 9791])).
% 6.46/4.69 tff(9802,plain,
% 6.46/4.69 ((v114(constB63) | v125(constB63)) | (~v114(constB63))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9803,plain,
% 6.46/4.69 (v114(constB63) | v125(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9802, 9801])).
% 6.46/4.69 tff(9804,plain,
% 6.46/4.69 ((~(v113(constB63) <=> (v114(constB63) | v125(constB63)))) | v113(constB63) | (~(v114(constB63) | v125(constB63)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9805,plain,
% 6.46/4.69 (v113(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9804, 9803, 9789])).
% 6.46/4.69 tff(9806,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB63)) <=> v111(constB63))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9807,plain,
% 6.46/4.69 ((~v126(constB63)) <=> v111(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9806, 4761])).
% 6.46/4.69 tff(9808,plain,
% 6.46/4.69 ((~((~v126(constB63)) <=> v111(constB63))) | v126(constB63) | v111(constB63)),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9809,plain,
% 6.46/4.69 ((~((~v126(constB63)) <=> v111(constB63))) | v126(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9808, 2504])).
% 6.46/4.69 tff(9810,plain,
% 6.46/4.69 (v126(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9809, 9807])).
% 6.46/4.69 tff(9811,plain,
% 6.46/4.69 ((~((~v113(constB63)) | (~v126(constB63)))) | (~v113(constB63)) | (~v126(constB63))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9812,plain,
% 6.46/4.69 ((~((~v113(constB63)) | (~v126(constB63)))) | (~v113(constB63))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9811, 9810])).
% 6.46/4.69 tff(9813,plain,
% 6.46/4.69 (~((~v113(constB63)) | (~v126(constB63)))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9812, 9805])).
% 6.46/4.69 tff(9814,plain,
% 6.46/4.69 ((~(v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63)))))) | v112(constB63) | ((~v113(constB63)) | (~v126(constB63)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9815,plain,
% 6.46/4.69 (v112(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9814, 9813, 9787])).
% 6.46/4.69 tff(9816,plain,
% 6.46/4.69 ((v111(constB63) | v112(constB63)) | (~v112(constB63))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9817,plain,
% 6.46/4.69 (v111(constB63) | v112(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9816, 9815])).
% 6.46/4.69 tff(9818,plain,
% 6.46/4.69 ((~(v108(constB63) <=> (v111(constB63) | v112(constB63)))) | v108(constB63) | (~(v111(constB63) | v112(constB63)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9819,plain,
% 6.46/4.69 (v108(constB63)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9818, 9817, 9785])).
% 6.46/4.69 tff(9820,plain,
% 6.46/4.69 ((~(v110(constB64) <=> v108(constB63))) | v110(constB64) | (~v108(constB63))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9821,plain,
% 6.46/4.69 (v110(constB64)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9820, 9819, 9783])).
% 6.46/4.69 tff(9822,plain,
% 6.46/4.69 ((~((~v101(constB64)) | (~v110(constB64)))) | (~v101(constB64)) | (~v110(constB64))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9823,plain,
% 6.46/4.69 (~((~v101(constB64)) | (~v110(constB64)))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9822, 9821, 9779])).
% 6.46/4.69 tff(9824,plain,
% 6.46/4.69 ((~(v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64)))))) | v100(constB64) | ((~v101(constB64)) | (~v110(constB64)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9825,plain,
% 6.46/4.69 (v100(constB64)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9824, 9823, 9751])).
% 6.46/4.69 tff(9826,plain,
% 6.46/4.69 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB64)) | (~(((~v90(constB64, 2)) <=> v129(constB64, 2)) | ((~v90(constB64, 1)) <=> v129(constB64, 1)) | ((~v90(constB64, 0)) <=> v129(constB64, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB64)) | (~(((~v90(constB64, 2)) <=> v129(constB64, 2)) | ((~v90(constB64, 1)) <=> v129(constB64, 1)) | ((~v90(constB64, 0)) <=> v129(constB64, 0)))))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9827,plain,
% 6.46/4.69 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB64)) | (~(((~v90(constB64, 2)) <=> v129(constB64, 2)) | ((~v90(constB64, 1)) <=> v129(constB64, 1)) | ((~v90(constB64, 0)) <=> v129(constB64, 0)))))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9828,plain,
% 6.46/4.69 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB64)) | (~(((~v90(constB64, 2)) <=> v129(constB64, 2)) | ((~v90(constB64, 1)) <=> v129(constB64, 1)) | ((~v90(constB64, 0)) <=> v129(constB64, 0))))),
% 6.46/4.69 inference(modus_ponens,[status(thm)],[9827, 9826])).
% 6.46/4.69 tff(9829,plain,
% 6.46/4.69 ((~v100(constB64)) | (~(((~v90(constB64, 2)) <=> v129(constB64, 2)) | ((~v90(constB64, 1)) <=> v129(constB64, 1)) | ((~v90(constB64, 0)) <=> v129(constB64, 0))))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9828, 4794])).
% 6.46/4.69 tff(9830,plain,
% 6.46/4.69 (~(((~v90(constB64, 2)) <=> v129(constB64, 2)) | ((~v90(constB64, 1)) <=> v129(constB64, 1)) | ((~v90(constB64, 0)) <=> v129(constB64, 0)))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9829, 9825])).
% 6.46/4.69 tff(9831,plain,
% 6.46/4.69 ((((~v90(constB64, 2)) <=> v129(constB64, 2)) | ((~v90(constB64, 1)) <=> v129(constB64, 1)) | ((~v90(constB64, 0)) <=> v129(constB64, 0))) | (~((~v90(constB64, 2)) <=> v129(constB64, 2)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9832,plain,
% 6.46/4.69 (~((~v90(constB64, 2)) <=> v129(constB64, 2))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9831, 9830])).
% 6.46/4.69 tff(9833,plain,
% 6.46/4.69 (((~v90(constB64, 2)) <=> v129(constB64, 2)) | v90(constB64, 2) | (~v129(constB64, 2))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9834,plain,
% 6.46/4.69 (v90(constB64, 2)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9833, 9832, 9747])).
% 6.46/4.69 tff(9835,plain,
% 6.46/4.69 (((~v90(constB65, 2)) <=> v90(constB64, 2)) | v90(constB65, 2) | (~v90(constB64, 2))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9836,plain,
% 6.46/4.69 (v90(constB65, 2)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9835, 9834, 2488])).
% 6.46/4.69 tff(9837,plain,
% 6.46/4.69 ((v90(constB65, 0) | v90(constB65, 1) | v90(constB65, 2)) | (~v90(constB65, 2))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9838,plain,
% 6.46/4.69 (v90(constB65, 0) | v90(constB65, 1) | v90(constB65, 2)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9837, 9836])).
% 6.46/4.69 tff(9839,plain,
% 6.46/4.69 ((~(v119(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 1) | v90(constB65, 2))))) | (~v119(constB65)) | (~(v90(constB65, 0) | v90(constB65, 1) | v90(constB65, 2)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9840,plain,
% 6.46/4.69 (~v119(constB65)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9839, 9838, 2452])).
% 6.46/4.69 tff(9841,plain,
% 6.46/4.69 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB65) <=> (~(v90(constB65, 1) | (~v90(constB65, 2)) | (~v90(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB65) <=> (~(v90(constB65, 1) | (~v90(constB65, 2)) | (~v90(constB65, 0))))))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9842,plain,
% 6.46/4.69 ((v124(constB65) <=> (~(v90(constB65, 1) | (~v90(constB65, 0)) | (~v90(constB65, 2))))) <=> (v124(constB65) <=> (~(v90(constB65, 1) | (~v90(constB65, 2)) | (~v90(constB65, 0)))))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9843,plain,
% 6.46/4.69 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB65) <=> (~(v90(constB65, 1) | (~v90(constB65, 0)) | (~v90(constB65, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB65) <=> (~(v90(constB65, 1) | (~v90(constB65, 2)) | (~v90(constB65, 0))))))),
% 6.46/4.69 inference(monotonicity,[status(thm)],[9842])).
% 6.46/4.69 tff(9844,plain,
% 6.46/4.69 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB65) <=> (~(v90(constB65, 1) | (~v90(constB65, 0)) | (~v90(constB65, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB65) <=> (~(v90(constB65, 1) | (~v90(constB65, 2)) | (~v90(constB65, 0))))))),
% 6.46/4.69 inference(transitivity,[status(thm)],[9843, 9841])).
% 6.46/4.69 tff(9845,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB65) <=> (~(v90(constB65, 1) | (~v90(constB65, 0)) | (~v90(constB65, 2)))))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9846,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB65) <=> (~(v90(constB65, 1) | (~v90(constB65, 2)) | (~v90(constB65, 0)))))),
% 6.46/4.69 inference(modus_ponens,[status(thm)],[9845, 9844])).
% 6.46/4.69 tff(9847,plain,
% 6.46/4.69 (v124(constB65) <=> (~(v90(constB65, 1) | (~v90(constB65, 2)) | (~v90(constB65, 0))))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9846, 4978])).
% 6.46/4.69 tff(9848,plain,
% 6.46/4.69 ((((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0))) | (~((~v90(constB65, 1)) <=> v90(constB64, 1)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9849,plain,
% 6.46/4.69 (~((~v90(constB65, 1)) <=> v90(constB64, 1))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9848, 2486])).
% 6.46/4.69 tff(9850,plain,
% 6.46/4.69 ((((~v129(constB64, 2)) <=> v127(constB63, 2)) | ((~v129(constB64, 1)) <=> v127(constB63, 1)) | ((~v129(constB64, 0)) <=> v127(constB63, 0))) | (~((~v129(constB64, 1)) <=> v127(constB63, 1)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9851,plain,
% 6.46/4.69 (~((~v129(constB64, 1)) <=> v127(constB63, 1))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9850, 2495])).
% 6.46/4.69 tff(9852,plain,
% 6.46/4.69 ((((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0))) | (~((~v127(constB63, 1)) <=> v130(constB63, 1)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9853,plain,
% 6.46/4.69 (~((~v127(constB63, 1)) <=> v130(constB63, 1))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9852, 2509])).
% 6.46/4.69 tff(9854,plain,
% 6.46/4.69 ((v130(constB63, 0) | (~v130(constB63, 2)) | (~v130(constB63, 1))) | v130(constB63, 1)),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9855,plain,
% 6.46/4.69 (v130(constB63, 1)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9854, 9741])).
% 6.46/4.69 tff(9856,plain,
% 6.46/4.69 (((~v127(constB63, 1)) <=> v130(constB63, 1)) | v127(constB63, 1) | (~v130(constB63, 1))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9857,plain,
% 6.46/4.69 (v127(constB63, 1)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9856, 9855, 9853])).
% 6.46/4.69 tff(9858,plain,
% 6.46/4.69 (((~v129(constB64, 1)) <=> v127(constB63, 1)) | v129(constB64, 1) | (~v127(constB63, 1))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9859,plain,
% 6.46/4.69 (v129(constB64, 1)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9858, 9857, 9851])).
% 6.46/4.69 tff(9860,plain,
% 6.46/4.69 ((((~v90(constB64, 2)) <=> v129(constB64, 2)) | ((~v90(constB64, 1)) <=> v129(constB64, 1)) | ((~v90(constB64, 0)) <=> v129(constB64, 0))) | (~((~v90(constB64, 1)) <=> v129(constB64, 1)))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9861,plain,
% 6.46/4.69 (~((~v90(constB64, 1)) <=> v129(constB64, 1))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9860, 9830])).
% 6.46/4.69 tff(9862,plain,
% 6.46/4.69 (((~v90(constB64, 1)) <=> v129(constB64, 1)) | v90(constB64, 1) | (~v129(constB64, 1))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9863,plain,
% 6.46/4.69 (v90(constB64, 1)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9862, 9861, 9859])).
% 6.46/4.69 tff(9864,plain,
% 6.46/4.69 (((~v90(constB65, 1)) <=> v90(constB64, 1)) | v90(constB65, 1) | (~v90(constB64, 1))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9865,plain,
% 6.46/4.69 (v90(constB65, 1)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9864, 9863, 9849])).
% 6.46/4.69 tff(9866,plain,
% 6.46/4.69 ((v90(constB65, 1) | (~v90(constB65, 2)) | (~v90(constB65, 0))) | (~v90(constB65, 1))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9867,plain,
% 6.46/4.69 (v90(constB65, 1) | (~v90(constB65, 2)) | (~v90(constB65, 0))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9866, 9865])).
% 6.46/4.69 tff(9868,plain,
% 6.46/4.69 ((~(v124(constB65) <=> (~(v90(constB65, 1) | (~v90(constB65, 2)) | (~v90(constB65, 0)))))) | (~v124(constB65)) | (~(v90(constB65, 1) | (~v90(constB65, 2)) | (~v90(constB65, 0))))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9869,plain,
% 6.46/4.69 (~v124(constB65)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9868, 9867, 9847])).
% 6.46/4.69 tff(9870,plain,
% 6.46/4.69 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB65) <=> (~(v90(constB65, 1) | v90(constB65, 0) | (~v90(constB65, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB65) <=> (~(v90(constB65, 1) | v90(constB65, 0) | (~v90(constB65, 2))))))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9871,plain,
% 6.46/4.69 ((v123(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 1) | (~v90(constB65, 2))))) <=> (v123(constB65) <=> (~(v90(constB65, 1) | v90(constB65, 0) | (~v90(constB65, 2)))))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9872,plain,
% 6.46/4.69 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 1) | (~v90(constB65, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB65) <=> (~(v90(constB65, 1) | v90(constB65, 0) | (~v90(constB65, 2))))))),
% 6.46/4.69 inference(monotonicity,[status(thm)],[9871])).
% 6.46/4.69 tff(9873,plain,
% 6.46/4.69 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 1) | (~v90(constB65, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB65) <=> (~(v90(constB65, 1) | v90(constB65, 0) | (~v90(constB65, 2))))))),
% 6.46/4.69 inference(transitivity,[status(thm)],[9872, 9870])).
% 6.46/4.69 tff(9874,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 1) | (~v90(constB65, 2)))))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9875,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB65) <=> (~(v90(constB65, 1) | v90(constB65, 0) | (~v90(constB65, 2)))))),
% 6.46/4.69 inference(modus_ponens,[status(thm)],[9874, 9873])).
% 6.46/4.69 tff(9876,plain,
% 6.46/4.69 (v123(constB65) <=> (~(v90(constB65, 1) | v90(constB65, 0) | (~v90(constB65, 2))))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9875, 565])).
% 6.46/4.69 tff(9877,plain,
% 6.46/4.69 ((v90(constB65, 1) | v90(constB65, 0) | (~v90(constB65, 2))) | (~v90(constB65, 1))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9878,plain,
% 6.46/4.69 (v90(constB65, 1) | v90(constB65, 0) | (~v90(constB65, 2))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9877, 9865])).
% 6.46/4.69 tff(9879,plain,
% 6.46/4.69 ((~(v123(constB65) <=> (~(v90(constB65, 1) | v90(constB65, 0) | (~v90(constB65, 2)))))) | (~v123(constB65)) | (~(v90(constB65, 1) | v90(constB65, 0) | (~v90(constB65, 2))))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9880,plain,
% 6.46/4.69 (~v123(constB65)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9879, 9878, 9876])).
% 6.46/4.69 tff(9881,plain,
% 6.46/4.69 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB65) <=> (~(v90(constB65, 2) | (~v90(constB65, 1)) | (~v90(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB65) <=> (~(v90(constB65, 2) | (~v90(constB65, 1)) | (~v90(constB65, 0))))))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9882,plain,
% 6.46/4.69 ((v122(constB65) <=> (~(v90(constB65, 2) | (~v90(constB65, 0)) | (~v90(constB65, 1))))) <=> (v122(constB65) <=> (~(v90(constB65, 2) | (~v90(constB65, 1)) | (~v90(constB65, 0)))))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9883,plain,
% 6.46/4.69 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB65) <=> (~(v90(constB65, 2) | (~v90(constB65, 0)) | (~v90(constB65, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB65) <=> (~(v90(constB65, 2) | (~v90(constB65, 1)) | (~v90(constB65, 0))))))),
% 6.46/4.69 inference(monotonicity,[status(thm)],[9882])).
% 6.46/4.69 tff(9884,plain,
% 6.46/4.69 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB65) <=> (~(v90(constB65, 2) | (~v90(constB65, 0)) | (~v90(constB65, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB65) <=> (~(v90(constB65, 2) | (~v90(constB65, 1)) | (~v90(constB65, 0))))))),
% 6.46/4.69 inference(transitivity,[status(thm)],[9883, 9881])).
% 6.46/4.69 tff(9885,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB65) <=> (~(v90(constB65, 2) | (~v90(constB65, 0)) | (~v90(constB65, 1)))))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9886,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB65) <=> (~(v90(constB65, 2) | (~v90(constB65, 1)) | (~v90(constB65, 0)))))),
% 6.46/4.69 inference(modus_ponens,[status(thm)],[9885, 9884])).
% 6.46/4.69 tff(9887,plain,
% 6.46/4.69 (v122(constB65) <=> (~(v90(constB65, 2) | (~v90(constB65, 1)) | (~v90(constB65, 0))))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9886, 644])).
% 6.46/4.69 tff(9888,plain,
% 6.46/4.69 ((v90(constB65, 2) | (~v90(constB65, 1)) | (~v90(constB65, 0))) | (~v90(constB65, 2))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9889,plain,
% 6.46/4.69 (v90(constB65, 2) | (~v90(constB65, 1)) | (~v90(constB65, 0))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9888, 9836])).
% 6.46/4.69 tff(9890,plain,
% 6.46/4.69 ((~(v122(constB65) <=> (~(v90(constB65, 2) | (~v90(constB65, 1)) | (~v90(constB65, 0)))))) | (~v122(constB65)) | (~(v90(constB65, 2) | (~v90(constB65, 1)) | (~v90(constB65, 0))))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9891,plain,
% 6.46/4.69 (~v122(constB65)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9890, 9889, 9887])).
% 6.46/4.69 tff(9892,plain,
% 6.46/4.69 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1))))))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9893,plain,
% 6.46/4.69 ((v121(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 2) | (~v90(constB65, 1))))) <=> (v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1)))))),
% 6.46/4.69 inference(rewrite,[status(thm)],[])).
% 6.46/4.69 tff(9894,plain,
% 6.46/4.69 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 2) | (~v90(constB65, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1))))))),
% 6.46/4.69 inference(monotonicity,[status(thm)],[9893])).
% 6.46/4.69 tff(9895,plain,
% 6.46/4.69 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 2) | (~v90(constB65, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1))))))),
% 6.46/4.69 inference(transitivity,[status(thm)],[9894, 9892])).
% 6.46/4.69 tff(9896,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 2) | (~v90(constB65, 1)))))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9897,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1)))))),
% 6.46/4.69 inference(modus_ponens,[status(thm)],[9896, 9895])).
% 6.46/4.69 tff(9898,plain,
% 6.46/4.69 (v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1))))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9897, 723])).
% 6.46/4.69 tff(9899,plain,
% 6.46/4.69 ((v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1))) | (~v90(constB65, 2))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9900,plain,
% 6.46/4.69 (v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9899, 9836])).
% 6.46/4.69 tff(9901,plain,
% 6.46/4.69 ((~(v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1)))))) | (~v121(constB65)) | (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1))))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9902,plain,
% 6.46/4.69 (~v121(constB65)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9901, 9900, 9898])).
% 6.46/4.69 tff(9903,plain,
% 6.46/4.69 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB65) <=> (~(v90(constB65, 1) | v90(constB65, 2) | (~v90(constB65, 0)))))),
% 6.46/4.69 inference(quant_inst,[status(thm)],[])).
% 6.46/4.69 tff(9904,plain,
% 6.46/4.69 (v120(constB65) <=> (~(v90(constB65, 1) | v90(constB65, 2) | (~v90(constB65, 0))))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9903, 417])).
% 6.46/4.69 tff(9905,plain,
% 6.46/4.69 ((v90(constB65, 1) | v90(constB65, 2) | (~v90(constB65, 0))) | (~v90(constB65, 2))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9906,plain,
% 6.46/4.69 (v90(constB65, 1) | v90(constB65, 2) | (~v90(constB65, 0))),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9905, 9836])).
% 6.46/4.69 tff(9907,plain,
% 6.46/4.69 ((~(v120(constB65) <=> (~(v90(constB65, 1) | v90(constB65, 2) | (~v90(constB65, 0)))))) | (~v120(constB65)) | (~(v90(constB65, 1) | v90(constB65, 2) | (~v90(constB65, 0))))),
% 6.46/4.69 inference(tautology,[status(thm)],[])).
% 6.46/4.69 tff(9908,plain,
% 6.46/4.69 (~v120(constB65)),
% 6.46/4.69 inference(unit_resolution,[status(thm)],[9907, 9906, 9904])).
% 6.46/4.69 tff(9909,plain,
% 6.46/4.69 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0)))))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(9910,plain,
% 6.46/4.70 ((v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~(v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0))))) <=> (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0)))))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(9911,plain,
% 6.46/4.70 ((~(v130(constB65, 1) | v130(constB65, 2) | (~v130(constB65, 0)))) <=> (~(v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0))))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(9912,plain,
% 6.46/4.70 ((v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~(v130(constB65, 1) | v130(constB65, 2) | (~v130(constB65, 0))))) <=> (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~(v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0)))))),
% 6.46/4.70 inference(monotonicity,[status(thm)],[9911])).
% 6.46/4.70 tff(9913,plain,
% 6.46/4.70 ((v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~(v130(constB65, 1) | v130(constB65, 2) | (~v130(constB65, 0))))) <=> (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0)))))),
% 6.46/4.70 inference(transitivity,[status(thm)],[9912, 9910])).
% 6.46/4.70 tff(9914,plain,
% 6.46/4.70 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~(v130(constB65, 1) | v130(constB65, 2) | (~v130(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0))))))),
% 6.46/4.70 inference(monotonicity,[status(thm)],[9913])).
% 6.46/4.70 tff(9915,plain,
% 6.46/4.70 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~(v130(constB65, 1) | v130(constB65, 2) | (~v130(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0)))))),
% 6.46/4.70 inference(transitivity,[status(thm)],[9914, 9909])).
% 6.46/4.70 tff(9916,plain,
% 6.46/4.70 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~(v130(constB65, 1) | v130(constB65, 2) | (~v130(constB65, 0)))))),
% 6.46/4.70 inference(quant_inst,[status(thm)],[])).
% 6.46/4.70 tff(9917,plain,
% 6.46/4.70 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0))))),
% 6.46/4.70 inference(modus_ponens,[status(thm)],[9916, 9915])).
% 6.46/4.70 tff(9918,plain,
% 6.46/4.70 (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0))))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9917, 5059])).
% 6.46/4.70 tff(9919,plain,
% 6.46/4.70 (~(v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0)))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9918, 9908, 9902, 9891, 9880, 9869, 9840])).
% 6.46/4.70 tff(9920,plain,
% 6.46/4.70 ((v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0))) | (~v130(constB65, 2))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9921,plain,
% 6.46/4.70 (~v130(constB65, 2)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9920, 9919])).
% 6.46/4.70 tff(9922,plain,
% 6.46/4.70 (((~v127(constB65, 2)) <=> v130(constB65, 2)) | (~v127(constB65, 2)) | v130(constB65, 2)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9923,plain,
% 6.46/4.70 (~v127(constB65, 2)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9922, 9921, 2450])).
% 6.46/4.70 tff(9924,plain,
% 6.46/4.70 (((~v129(constB66, 2)) <=> v127(constB65, 2)) | (~v129(constB66, 2)) | v127(constB65, 2)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9925,plain,
% 6.46/4.70 (~v129(constB66, 2)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9924, 9923, 2436])).
% 6.46/4.70 tff(9926,plain,
% 6.46/4.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(9927,plain,
% 6.46/4.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))))),
% 6.46/4.70 inference(quant_inst,[status(thm)],[])).
% 6.46/4.70 tff(9928,plain,
% 6.46/4.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66)))))),
% 6.46/4.70 inference(modus_ponens,[status(thm)],[9927, 9926])).
% 6.46/4.70 tff(9929,plain,
% 6.46/4.70 (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9928, 2430, 273])).
% 6.46/4.70 tff(9930,plain,
% 6.46/4.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(9931,plain,
% 6.46/4.70 (((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66)))))) <=> ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(9932,plain,
% 6.46/4.70 (((~![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) <=> (~((~v1(constB66)) | (~v102(constB66)))))))),
% 6.46/4.70 inference(monotonicity,[status(thm)],[9931])).
% 6.46/4.70 tff(9933,plain,
% 6.46/4.70 (((~![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) <=> (~((~v1(constB66)) | (~v102(constB66))))))),
% 6.46/4.70 inference(transitivity,[status(thm)],[9932, 9930])).
% 6.46/4.70 tff(9934,plain,
% 6.46/4.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66))))))),
% 6.46/4.70 inference(quant_inst,[status(thm)],[])).
% 6.46/4.70 tff(9935,plain,
% 6.46/4.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66)))))),
% 6.46/4.70 inference(modus_ponens,[status(thm)],[9934, 9933])).
% 6.46/4.70 tff(9936,plain,
% 6.46/4.70 (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9935, 2430, 293])).
% 6.46/4.70 tff(9937,plain,
% 6.46/4.70 (((~![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)))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(9938,plain,
% 6.46/4.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66)))),
% 6.46/4.70 inference(quant_inst,[status(thm)],[])).
% 6.46/4.70 tff(9939,plain,
% 6.46/4.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66))),
% 6.46/4.70 inference(modus_ponens,[status(thm)],[9938, 9937])).
% 6.46/4.70 tff(9940,plain,
% 6.46/4.70 ((~v102(constB66)) <=> v104(constB66)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9939, 2430, 4609])).
% 6.46/4.70 tff(9941,plain,
% 6.46/4.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65)))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(9942,plain,
% 6.46/4.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65)))),
% 6.46/4.70 inference(quant_inst,[status(thm)],[])).
% 6.46/4.70 tff(9943,plain,
% 6.46/4.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65))),
% 6.46/4.70 inference(modus_ponens,[status(thm)],[9942, 9941])).
% 6.46/4.70 tff(9944,plain,
% 6.46/4.70 (v104(constB66) <=> v1(constB65)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9943, 2430, 4623])).
% 6.46/4.70 tff(9945,plain,
% 6.46/4.70 ((~(v104(constB66) <=> v1(constB65))) | (~v104(constB66)) | v1(constB65)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9946,plain,
% 6.46/4.70 ((~(v104(constB66) <=> v1(constB65))) | (~v104(constB66))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9945, 2469])).
% 6.46/4.70 tff(9947,plain,
% 6.46/4.70 (~v104(constB66)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9946, 9944])).
% 6.46/4.70 tff(9948,plain,
% 6.46/4.70 ((~((~v102(constB66)) <=> v104(constB66))) | v102(constB66) | v104(constB66)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9949,plain,
% 6.46/4.70 (v102(constB66)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9948, 9947, 9940])).
% 6.46/4.70 tff(9950,plain,
% 6.46/4.70 (v1(constB66) <=> v1(constB66)),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(9951,axiom,(v1(constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_66')).
% 6.46/4.70 tff(9952,plain,
% 6.46/4.70 (v1(constB66)),
% 6.46/4.70 inference(modus_ponens,[status(thm)],[9951, 9950])).
% 6.46/4.70 tff(9953,plain,
% 6.46/4.70 ((~((~v1(constB66)) | (~v102(constB66)))) | (~v1(constB66)) | (~v102(constB66))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9954,plain,
% 6.46/4.70 ((~((~v1(constB66)) | (~v102(constB66)))) | (~v102(constB66))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9953, 9952])).
% 6.46/4.70 tff(9955,plain,
% 6.46/4.70 (~((~v1(constB66)) | (~v102(constB66)))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9954, 9949])).
% 6.46/4.70 tff(9956,plain,
% 6.46/4.70 ((~(v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66)))))) | v101(constB66) | ((~v1(constB66)) | (~v102(constB66)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9957,plain,
% 6.46/4.70 (v101(constB66)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9956, 9955, 9936])).
% 6.46/4.70 tff(9958,plain,
% 6.46/4.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65)))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(9959,plain,
% 6.46/4.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65)))),
% 6.46/4.70 inference(quant_inst,[status(thm)],[])).
% 6.46/4.70 tff(9960,plain,
% 6.46/4.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65))),
% 6.46/4.70 inference(modus_ponens,[status(thm)],[9959, 9958])).
% 6.46/4.70 tff(9961,plain,
% 6.46/4.70 (v110(constB66) <=> v108(constB65)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9960, 2430, 4650])).
% 6.46/4.70 tff(9962,plain,
% 6.46/4.70 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB65) <=> (v111(constB65) | v112(constB65)))),
% 6.46/4.70 inference(quant_inst,[status(thm)],[])).
% 6.46/4.70 tff(9963,plain,
% 6.46/4.70 (v108(constB65) <=> (v111(constB65) | v112(constB65))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9962, 4661])).
% 6.46/4.70 tff(9964,plain,
% 6.46/4.70 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65)))))),
% 6.46/4.70 inference(quant_inst,[status(thm)],[])).
% 6.46/4.70 tff(9965,plain,
% 6.46/4.70 (v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65))))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9964, 4673])).
% 6.46/4.70 tff(9966,plain,
% 6.46/4.70 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB65) <=> (v114(constB65) | v125(constB65)))),
% 6.46/4.70 inference(quant_inst,[status(thm)],[])).
% 6.46/4.70 tff(9967,plain,
% 6.46/4.70 (v113(constB65) <=> (v114(constB65) | v125(constB65))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9966, 4682])).
% 6.46/4.70 tff(9968,plain,
% 6.46/4.70 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB65) <=> (~(v90(constB65, 0) | (~v90(constB65, 1)) | (~v90(constB65, 2)))))),
% 6.46/4.70 inference(quant_inst,[status(thm)],[])).
% 6.46/4.70 tff(9969,plain,
% 6.46/4.70 (v125(constB65) <=> (~(v90(constB65, 0) | (~v90(constB65, 1)) | (~v90(constB65, 2))))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9968, 5131])).
% 6.46/4.70 tff(9970,plain,
% 6.46/4.70 ((((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0))) | (~((~v90(constB65, 0)) <=> v90(constB64, 0)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9971,plain,
% 6.46/4.70 (~((~v90(constB65, 0)) <=> v90(constB64, 0))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9970, 2486])).
% 6.46/4.70 tff(9972,plain,
% 6.46/4.70 ((((~v129(constB64, 2)) <=> v127(constB63, 2)) | ((~v129(constB64, 1)) <=> v127(constB63, 1)) | ((~v129(constB64, 0)) <=> v127(constB63, 0))) | (~((~v129(constB64, 0)) <=> v127(constB63, 0)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9973,plain,
% 6.46/4.70 (~((~v129(constB64, 0)) <=> v127(constB63, 0))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9972, 2495])).
% 6.46/4.70 tff(9974,plain,
% 6.46/4.70 ((((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0))) | (~((~v127(constB63, 0)) <=> v130(constB63, 0)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9975,plain,
% 6.46/4.70 (~((~v127(constB63, 0)) <=> v130(constB63, 0))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9974, 2509])).
% 6.46/4.70 tff(9976,plain,
% 6.46/4.70 ((v130(constB63, 0) | (~v130(constB63, 2)) | (~v130(constB63, 1))) | (~v130(constB63, 0))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9977,plain,
% 6.46/4.70 (~v130(constB63, 0)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9976, 9741])).
% 6.46/4.70 tff(9978,plain,
% 6.46/4.70 (((~v127(constB63, 0)) <=> v130(constB63, 0)) | (~v127(constB63, 0)) | v130(constB63, 0)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9979,plain,
% 6.46/4.70 (~v127(constB63, 0)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9978, 9977, 9975])).
% 6.46/4.70 tff(9980,plain,
% 6.46/4.70 (((~v129(constB64, 0)) <=> v127(constB63, 0)) | (~v129(constB64, 0)) | v127(constB63, 0)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9981,plain,
% 6.46/4.70 (~v129(constB64, 0)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9980, 9979, 9973])).
% 6.46/4.70 tff(9982,plain,
% 6.46/4.70 ((((~v90(constB64, 2)) <=> v129(constB64, 2)) | ((~v90(constB64, 1)) <=> v129(constB64, 1)) | ((~v90(constB64, 0)) <=> v129(constB64, 0))) | (~((~v90(constB64, 0)) <=> v129(constB64, 0)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9983,plain,
% 6.46/4.70 (~((~v90(constB64, 0)) <=> v129(constB64, 0))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9982, 9830])).
% 6.46/4.70 tff(9984,plain,
% 6.46/4.70 (((~v90(constB64, 0)) <=> v129(constB64, 0)) | (~v90(constB64, 0)) | v129(constB64, 0)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9985,plain,
% 6.46/4.70 (~v90(constB64, 0)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9984, 9983, 9981])).
% 6.46/4.70 tff(9986,plain,
% 6.46/4.70 (((~v90(constB65, 0)) <=> v90(constB64, 0)) | (~v90(constB65, 0)) | v90(constB64, 0)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9987,plain,
% 6.46/4.70 (~v90(constB65, 0)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9986, 9985, 9971])).
% 6.46/4.70 tff(9988,plain,
% 6.46/4.70 ((~(v90(constB65, 0) | (~v90(constB65, 1)) | (~v90(constB65, 2)))) | v90(constB65, 0) | (~v90(constB65, 1)) | (~v90(constB65, 2))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9989,plain,
% 6.46/4.70 (~(v90(constB65, 0) | (~v90(constB65, 1)) | (~v90(constB65, 2)))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9988, 9865, 9987, 9836])).
% 6.46/4.70 tff(9990,plain,
% 6.46/4.70 ((~(v125(constB65) <=> (~(v90(constB65, 0) | (~v90(constB65, 1)) | (~v90(constB65, 2)))))) | v125(constB65) | (v90(constB65, 0) | (~v90(constB65, 1)) | (~v90(constB65, 2)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9991,plain,
% 6.46/4.70 (v125(constB65)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9990, 9989, 9969])).
% 6.46/4.70 tff(9992,plain,
% 6.46/4.70 ((v114(constB65) | v125(constB65)) | (~v125(constB65))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9993,plain,
% 6.46/4.70 (v114(constB65) | v125(constB65)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9992, 9991])).
% 6.46/4.70 tff(9994,plain,
% 6.46/4.70 ((~(v113(constB65) <=> (v114(constB65) | v125(constB65)))) | v113(constB65) | (~(v114(constB65) | v125(constB65)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9995,plain,
% 6.46/4.70 (v113(constB65)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9994, 9993, 9967])).
% 6.46/4.70 tff(9996,plain,
% 6.46/4.70 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB65)) <=> v111(constB65))),
% 6.46/4.70 inference(quant_inst,[status(thm)],[])).
% 6.46/4.70 tff(9997,plain,
% 6.46/4.70 ((~v126(constB65)) <=> v111(constB65)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9996, 4761])).
% 6.46/4.70 tff(9998,plain,
% 6.46/4.70 ((~((~v126(constB65)) <=> v111(constB65))) | v126(constB65) | v111(constB65)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(9999,plain,
% 6.46/4.70 ((~((~v126(constB65)) <=> v111(constB65))) | v126(constB65)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9998, 2443])).
% 6.46/4.70 tff(10000,plain,
% 6.46/4.70 (v126(constB65)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[9999, 9997])).
% 6.46/4.70 tff(10001,plain,
% 6.46/4.70 ((~((~v113(constB65)) | (~v126(constB65)))) | (~v113(constB65)) | (~v126(constB65))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10002,plain,
% 6.46/4.70 ((~((~v113(constB65)) | (~v126(constB65)))) | (~v113(constB65))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10001, 10000])).
% 6.46/4.70 tff(10003,plain,
% 6.46/4.70 (~((~v113(constB65)) | (~v126(constB65)))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10002, 9995])).
% 6.46/4.70 tff(10004,plain,
% 6.46/4.70 ((~(v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65)))))) | v112(constB65) | ((~v113(constB65)) | (~v126(constB65)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10005,plain,
% 6.46/4.70 (v112(constB65)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10004, 10003, 9965])).
% 6.46/4.70 tff(10006,plain,
% 6.46/4.70 ((v111(constB65) | v112(constB65)) | (~v112(constB65))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10007,plain,
% 6.46/4.70 (v111(constB65) | v112(constB65)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10006, 10005])).
% 6.46/4.70 tff(10008,plain,
% 6.46/4.70 ((~(v108(constB65) <=> (v111(constB65) | v112(constB65)))) | v108(constB65) | (~(v111(constB65) | v112(constB65)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10009,plain,
% 6.46/4.70 (v108(constB65)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10008, 10007, 9963])).
% 6.46/4.70 tff(10010,plain,
% 6.46/4.70 ((~(v110(constB66) <=> v108(constB65))) | v110(constB66) | (~v108(constB65))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10011,plain,
% 6.46/4.70 (v110(constB66)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10010, 10009, 9961])).
% 6.46/4.70 tff(10012,plain,
% 6.46/4.70 ((~((~v101(constB66)) | (~v110(constB66)))) | (~v101(constB66)) | (~v110(constB66))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10013,plain,
% 6.46/4.70 (~((~v101(constB66)) | (~v110(constB66)))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10012, 10011, 9957])).
% 6.46/4.70 tff(10014,plain,
% 6.46/4.70 ((~(v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66)))))) | v100(constB66) | ((~v101(constB66)) | (~v110(constB66)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10015,plain,
% 6.46/4.70 (v100(constB66)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10014, 10013, 9929])).
% 6.46/4.70 tff(10016,plain,
% 6.46/4.70 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB66)) | (~(((~v90(constB66, 0)) <=> v129(constB66, 0)) | ((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB66)) | (~(((~v90(constB66, 0)) <=> v129(constB66, 0)) | ((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1)))))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(10017,plain,
% 6.46/4.70 (((~v100(constB66)) | (~(((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1)) | ((~v90(constB66, 0)) <=> v129(constB66, 0))))) <=> ((~v100(constB66)) | (~(((~v90(constB66, 0)) <=> v129(constB66, 0)) | ((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1)))))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(10018,plain,
% 6.46/4.70 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB66)) | (~(((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1)) | ((~v90(constB66, 0)) <=> v129(constB66, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB66)) | (~(((~v90(constB66, 0)) <=> v129(constB66, 0)) | ((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1))))))),
% 6.46/4.70 inference(monotonicity,[status(thm)],[10017])).
% 6.46/4.70 tff(10019,plain,
% 6.46/4.70 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB66)) | (~(((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1)) | ((~v90(constB66, 0)) <=> v129(constB66, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB66)) | (~(((~v90(constB66, 0)) <=> v129(constB66, 0)) | ((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1)))))),
% 6.46/4.70 inference(transitivity,[status(thm)],[10018, 10016])).
% 6.46/4.70 tff(10020,plain,
% 6.46/4.70 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB66)) | (~(((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1)) | ((~v90(constB66, 0)) <=> v129(constB66, 0)))))),
% 6.46/4.70 inference(quant_inst,[status(thm)],[])).
% 6.46/4.70 tff(10021,plain,
% 6.46/4.70 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB66)) | (~(((~v90(constB66, 0)) <=> v129(constB66, 0)) | ((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1))))),
% 6.46/4.70 inference(modus_ponens,[status(thm)],[10020, 10019])).
% 6.46/4.70 tff(10022,plain,
% 6.46/4.70 ((~v100(constB66)) | (~(((~v90(constB66, 0)) <=> v129(constB66, 0)) | ((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1))))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10021, 4794])).
% 6.46/4.70 tff(10023,plain,
% 6.46/4.70 (~(((~v90(constB66, 0)) <=> v129(constB66, 0)) | ((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1)))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10022, 10015])).
% 6.46/4.70 tff(10024,plain,
% 6.46/4.70 ((((~v90(constB66, 0)) <=> v129(constB66, 0)) | ((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1))) | (~((~v90(constB66, 2)) <=> v129(constB66, 2)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10025,plain,
% 6.46/4.70 (~((~v90(constB66, 2)) <=> v129(constB66, 2))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10024, 10023])).
% 6.46/4.70 tff(10026,plain,
% 6.46/4.70 (((~v90(constB66, 2)) <=> v129(constB66, 2)) | (~v90(constB66, 2)) | v129(constB66, 2)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10027,plain,
% 6.46/4.70 (~v90(constB66, 2)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10026, 10025, 9925])).
% 6.46/4.70 tff(10028,plain,
% 6.46/4.70 (((~v90(constB67, 2)) <=> v90(constB66, 2)) | (~v90(constB67, 2)) | v90(constB66, 2)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10029,plain,
% 6.46/4.70 (~v90(constB67, 2)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10028, 10027, 2427])).
% 6.46/4.70 tff(10030,plain,
% 6.46/4.70 ((((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0))) | (~((~v90(constB67, 0)) <=> v90(constB66, 0)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10031,plain,
% 6.46/4.70 (~((~v90(constB67, 0)) <=> v90(constB66, 0))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10030, 2425])).
% 6.46/4.70 tff(10032,plain,
% 6.46/4.70 ((((~v129(constB66, 2)) <=> v127(constB65, 2)) | ((~v129(constB66, 1)) <=> v127(constB65, 1)) | ((~v129(constB66, 0)) <=> v127(constB65, 0))) | (~((~v129(constB66, 0)) <=> v127(constB65, 0)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10033,plain,
% 6.46/4.70 (~((~v129(constB66, 0)) <=> v127(constB65, 0))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10032, 2434])).
% 6.46/4.70 tff(10034,plain,
% 6.46/4.70 ((((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0))) | (~((~v127(constB65, 0)) <=> v130(constB65, 0)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10035,plain,
% 6.46/4.70 (~((~v127(constB65, 0)) <=> v130(constB65, 0))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10034, 2448])).
% 6.46/4.70 tff(10036,plain,
% 6.46/4.70 ((v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0))) | v130(constB65, 0)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10037,plain,
% 6.46/4.70 (v130(constB65, 0)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10036, 9919])).
% 6.46/4.70 tff(10038,plain,
% 6.46/4.70 (((~v127(constB65, 0)) <=> v130(constB65, 0)) | v127(constB65, 0) | (~v130(constB65, 0))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10039,plain,
% 6.46/4.70 (v127(constB65, 0)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10038, 10037, 10035])).
% 6.46/4.70 tff(10040,plain,
% 6.46/4.70 (((~v129(constB66, 0)) <=> v127(constB65, 0)) | v129(constB66, 0) | (~v127(constB65, 0))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10041,plain,
% 6.46/4.70 (v129(constB66, 0)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10040, 10039, 10033])).
% 6.46/4.70 tff(10042,plain,
% 6.46/4.70 ((((~v90(constB66, 0)) <=> v129(constB66, 0)) | ((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1))) | (~((~v90(constB66, 0)) <=> v129(constB66, 0)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10043,plain,
% 6.46/4.70 (~((~v90(constB66, 0)) <=> v129(constB66, 0))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10042, 10023])).
% 6.46/4.70 tff(10044,plain,
% 6.46/4.70 (((~v90(constB66, 0)) <=> v129(constB66, 0)) | v90(constB66, 0) | (~v129(constB66, 0))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10045,plain,
% 6.46/4.70 (v90(constB66, 0)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10044, 10043, 10041])).
% 6.46/4.70 tff(10046,plain,
% 6.46/4.70 (((~v90(constB67, 0)) <=> v90(constB66, 0)) | v90(constB67, 0) | (~v90(constB66, 0))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10047,plain,
% 6.46/4.70 (v90(constB67, 0)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10046, 10045, 10031])).
% 6.46/4.70 tff(10048,plain,
% 6.46/4.70 ((((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0))) | (~((~v90(constB67, 1)) <=> v90(constB66, 1)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10049,plain,
% 6.46/4.70 (~((~v90(constB67, 1)) <=> v90(constB66, 1))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10048, 2425])).
% 6.46/4.70 tff(10050,plain,
% 6.46/4.70 ((((~v129(constB66, 2)) <=> v127(constB65, 2)) | ((~v129(constB66, 1)) <=> v127(constB65, 1)) | ((~v129(constB66, 0)) <=> v127(constB65, 0))) | (~((~v129(constB66, 1)) <=> v127(constB65, 1)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10051,plain,
% 6.46/4.70 (~((~v129(constB66, 1)) <=> v127(constB65, 1))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10050, 2434])).
% 6.46/4.70 tff(10052,plain,
% 6.46/4.70 ((((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0))) | (~((~v127(constB65, 1)) <=> v130(constB65, 1)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10053,plain,
% 6.46/4.70 (~((~v127(constB65, 1)) <=> v130(constB65, 1))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10052, 2448])).
% 6.46/4.70 tff(10054,plain,
% 6.46/4.70 ((v130(constB65, 2) | v130(constB65, 1) | (~v130(constB65, 0))) | (~v130(constB65, 1))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10055,plain,
% 6.46/4.70 (~v130(constB65, 1)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10054, 9919])).
% 6.46/4.70 tff(10056,plain,
% 6.46/4.70 (((~v127(constB65, 1)) <=> v130(constB65, 1)) | (~v127(constB65, 1)) | v130(constB65, 1)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10057,plain,
% 6.46/4.70 (~v127(constB65, 1)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10056, 10055, 10053])).
% 6.46/4.70 tff(10058,plain,
% 6.46/4.70 (((~v129(constB66, 1)) <=> v127(constB65, 1)) | (~v129(constB66, 1)) | v127(constB65, 1)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10059,plain,
% 6.46/4.70 (~v129(constB66, 1)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10058, 10057, 10051])).
% 6.46/4.70 tff(10060,plain,
% 6.46/4.70 ((((~v90(constB66, 0)) <=> v129(constB66, 0)) | ((~v90(constB66, 2)) <=> v129(constB66, 2)) | ((~v90(constB66, 1)) <=> v129(constB66, 1))) | (~((~v90(constB66, 1)) <=> v129(constB66, 1)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10061,plain,
% 6.46/4.70 (~((~v90(constB66, 1)) <=> v129(constB66, 1))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10060, 10023])).
% 6.46/4.70 tff(10062,plain,
% 6.46/4.70 (((~v90(constB66, 1)) <=> v129(constB66, 1)) | (~v90(constB66, 1)) | v129(constB66, 1)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10063,plain,
% 6.46/4.70 (~v90(constB66, 1)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10062, 10061, 10059])).
% 6.46/4.70 tff(10064,plain,
% 6.46/4.70 (((~v90(constB67, 1)) <=> v90(constB66, 1)) | (~v90(constB67, 1)) | v90(constB66, 1)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10065,plain,
% 6.46/4.70 (~v90(constB67, 1)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10064, 10063, 10049])).
% 6.46/4.70 tff(10066,plain,
% 6.46/4.70 ((~(v90(constB67, 1) | v90(constB67, 2) | (~v90(constB67, 0)))) | v90(constB67, 1) | v90(constB67, 2) | (~v90(constB67, 0))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10067,plain,
% 6.46/4.70 (~(v90(constB67, 1) | v90(constB67, 2) | (~v90(constB67, 0)))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10066, 10065, 10047, 10029])).
% 6.46/4.70 tff(10068,plain,
% 6.46/4.70 ((~(v120(constB67) <=> (~(v90(constB67, 1) | v90(constB67, 2) | (~v90(constB67, 0)))))) | v120(constB67) | (v90(constB67, 1) | v90(constB67, 2) | (~v90(constB67, 0)))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10069,plain,
% 6.46/4.70 (v120(constB67)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10068, 10067, 2391])).
% 6.46/4.70 tff(10070,plain,
% 6.46/4.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB67)) | (~(v130(constB67, 2) | v130(constB67, 0) | (~v130(constB67, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB67)) | (~(v130(constB67, 2) | v130(constB67, 0) | (~v130(constB67, 1)))))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(10071,plain,
% 6.46/4.70 (((~v120(constB67)) | (~(v130(constB67, 0) | v130(constB67, 2) | (~v130(constB67, 1))))) <=> ((~v120(constB67)) | (~(v130(constB67, 2) | v130(constB67, 0) | (~v130(constB67, 1)))))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(10072,plain,
% 6.46/4.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB67)) | (~(v130(constB67, 0) | v130(constB67, 2) | (~v130(constB67, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB67)) | (~(v130(constB67, 2) | v130(constB67, 0) | (~v130(constB67, 1))))))),
% 6.46/4.70 inference(monotonicity,[status(thm)],[10071])).
% 6.46/4.70 tff(10073,plain,
% 6.46/4.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB67)) | (~(v130(constB67, 0) | v130(constB67, 2) | (~v130(constB67, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB67)) | (~(v130(constB67, 2) | v130(constB67, 0) | (~v130(constB67, 1)))))),
% 6.46/4.70 inference(transitivity,[status(thm)],[10072, 10070])).
% 6.46/4.70 tff(10074,plain,
% 6.46/4.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB67)) | (~(v130(constB67, 0) | v130(constB67, 2) | (~v130(constB67, 1)))))),
% 6.46/4.70 inference(quant_inst,[status(thm)],[])).
% 6.46/4.70 tff(10075,plain,
% 6.46/4.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB67)) | (~(v130(constB67, 2) | v130(constB67, 0) | (~v130(constB67, 1))))),
% 6.46/4.70 inference(modus_ponens,[status(thm)],[10074, 10073])).
% 6.46/4.70 tff(10076,plain,
% 6.46/4.70 ((~v120(constB67)) | (~(v130(constB67, 2) | v130(constB67, 0) | (~v130(constB67, 1))))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10075, 5246])).
% 6.46/4.70 tff(10077,plain,
% 6.46/4.70 (~(v130(constB67, 2) | v130(constB67, 0) | (~v130(constB67, 1)))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10076, 10069])).
% 6.46/4.70 tff(10078,plain,
% 6.46/4.70 ((v130(constB67, 2) | v130(constB67, 0) | (~v130(constB67, 1))) | (~v130(constB67, 2))),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10079,plain,
% 6.46/4.70 (~v130(constB67, 2)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10078, 10077])).
% 6.46/4.70 tff(10080,plain,
% 6.46/4.70 (((~v127(constB67, 2)) <=> v130(constB67, 2)) | (~v127(constB67, 2)) | v130(constB67, 2)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10081,plain,
% 6.46/4.70 (~v127(constB67, 2)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10080, 10079, 2389])).
% 6.46/4.70 tff(10082,plain,
% 6.46/4.70 (((~v129(constB68, 2)) <=> v127(constB67, 2)) | (~v129(constB68, 2)) | v127(constB67, 2)),
% 6.46/4.70 inference(tautology,[status(thm)],[])).
% 6.46/4.70 tff(10083,plain,
% 6.46/4.70 (~v129(constB68, 2)),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10082, 10081, 2375])).
% 6.46/4.70 tff(10084,plain,
% 6.46/4.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(10085,plain,
% 6.46/4.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))))),
% 6.46/4.70 inference(quant_inst,[status(thm)],[])).
% 6.46/4.70 tff(10086,plain,
% 6.46/4.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68)))))),
% 6.46/4.70 inference(modus_ponens,[status(thm)],[10085, 10084])).
% 6.46/4.70 tff(10087,plain,
% 6.46/4.70 (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))),
% 6.46/4.70 inference(unit_resolution,[status(thm)],[10086, 2369, 273])).
% 6.46/4.70 tff(10088,plain,
% 6.46/4.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(10089,plain,
% 6.46/4.70 (((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68)))))) <=> ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))),
% 6.46/4.70 inference(rewrite,[status(thm)],[])).
% 6.46/4.70 tff(10090,plain,
% 6.46/4.70 (((~![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) <=> (~((~v1(constB68)) | (~v102(constB68)))))))),
% 6.46/4.70 inference(monotonicity,[status(thm)],[10089])).
% 6.46/4.70 tff(10091,plain,
% 6.46/4.70 (((~![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) <=> (~((~v1(constB68)) | (~v102(constB68))))))),
% 6.46/4.70 inference(transitivity,[status(thm)],[10090, 10088])).
% 6.46/4.70 tff(10092,plain,
% 6.46/4.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68))))))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10093,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68)))))),
% 6.46/4.71 inference(modus_ponens,[status(thm)],[10092, 10091])).
% 6.46/4.71 tff(10094,plain,
% 6.46/4.71 (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10093, 2369, 293])).
% 6.46/4.71 tff(10095,plain,
% 6.46/4.71 (((~![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)))),
% 6.46/4.71 inference(rewrite,[status(thm)],[])).
% 6.46/4.71 tff(10096,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10097,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68))),
% 6.46/4.71 inference(modus_ponens,[status(thm)],[10096, 10095])).
% 6.46/4.71 tff(10098,plain,
% 6.46/4.71 ((~v102(constB68)) <=> v104(constB68)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10097, 2369, 4609])).
% 6.46/4.71 tff(10099,plain,
% 6.46/4.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67)))),
% 6.46/4.71 inference(rewrite,[status(thm)],[])).
% 6.46/4.71 tff(10100,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10101,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67))),
% 6.46/4.71 inference(modus_ponens,[status(thm)],[10100, 10099])).
% 6.46/4.71 tff(10102,plain,
% 6.46/4.71 (v104(constB68) <=> v1(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10101, 2369, 4623])).
% 6.46/4.71 tff(10103,plain,
% 6.46/4.71 ((~(v104(constB68) <=> v1(constB67))) | (~v104(constB68)) | v1(constB67)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10104,plain,
% 6.46/4.71 ((~(v104(constB68) <=> v1(constB67))) | (~v104(constB68))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10103, 2408])).
% 6.46/4.71 tff(10105,plain,
% 6.46/4.71 (~v104(constB68)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10104, 10102])).
% 6.46/4.71 tff(10106,plain,
% 6.46/4.71 ((~((~v102(constB68)) <=> v104(constB68))) | v102(constB68) | v104(constB68)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10107,plain,
% 6.46/4.71 (v102(constB68)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10106, 10105, 10098])).
% 6.46/4.71 tff(10108,plain,
% 6.46/4.71 (v1(constB68) <=> v1(constB68)),
% 6.46/4.71 inference(rewrite,[status(thm)],[])).
% 6.46/4.71 tff(10109,axiom,(v1(constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_68')).
% 6.46/4.71 tff(10110,plain,
% 6.46/4.71 (v1(constB68)),
% 6.46/4.71 inference(modus_ponens,[status(thm)],[10109, 10108])).
% 6.46/4.71 tff(10111,plain,
% 6.46/4.71 ((~((~v1(constB68)) | (~v102(constB68)))) | (~v1(constB68)) | (~v102(constB68))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10112,plain,
% 6.46/4.71 ((~((~v1(constB68)) | (~v102(constB68)))) | (~v102(constB68))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10111, 10110])).
% 6.46/4.71 tff(10113,plain,
% 6.46/4.71 (~((~v1(constB68)) | (~v102(constB68)))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10112, 10107])).
% 6.46/4.71 tff(10114,plain,
% 6.46/4.71 ((~(v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68)))))) | v101(constB68) | ((~v1(constB68)) | (~v102(constB68)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10115,plain,
% 6.46/4.71 (v101(constB68)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10114, 10113, 10094])).
% 6.46/4.71 tff(10116,plain,
% 6.46/4.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67)))),
% 6.46/4.71 inference(rewrite,[status(thm)],[])).
% 6.46/4.71 tff(10117,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10118,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67))),
% 6.46/4.71 inference(modus_ponens,[status(thm)],[10117, 10116])).
% 6.46/4.71 tff(10119,plain,
% 6.46/4.71 (v110(constB68) <=> v108(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10118, 2369, 4650])).
% 6.46/4.71 tff(10120,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB67) <=> (v111(constB67) | v112(constB67)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10121,plain,
% 6.46/4.71 (v108(constB67) <=> (v111(constB67) | v112(constB67))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10120, 4661])).
% 6.46/4.71 tff(10122,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67)))))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10123,plain,
% 6.46/4.71 (v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67))))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10122, 4673])).
% 6.46/4.71 tff(10124,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB67) <=> (v114(constB67) | v125(constB67)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10125,plain,
% 6.46/4.71 (v113(constB67) <=> (v114(constB67) | v125(constB67))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10124, 4682])).
% 6.46/4.71 tff(10126,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB67) <=> (v115(constB67) | v124(constB67)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10127,plain,
% 6.46/4.71 (v114(constB67) <=> (v115(constB67) | v124(constB67))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10126, 4691])).
% 6.46/4.71 tff(10128,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB67) <=> (v116(constB67) | v123(constB67)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10129,plain,
% 6.46/4.71 (v115(constB67) <=> (v116(constB67) | v123(constB67))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10128, 4700])).
% 6.46/4.71 tff(10130,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB67) <=> (v117(constB67) | v122(constB67)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10131,plain,
% 6.46/4.71 (v116(constB67) <=> (v117(constB67) | v122(constB67))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10130, 4709])).
% 6.46/4.71 tff(10132,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB67) <=> (v118(constB67) | v121(constB67)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10133,plain,
% 6.46/4.71 (v117(constB67) <=> (v118(constB67) | v121(constB67))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10132, 4718])).
% 6.46/4.71 tff(10134,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB67) <=> (v119(constB67) | v120(constB67)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10135,plain,
% 6.46/4.71 (v118(constB67) <=> (v119(constB67) | v120(constB67))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10134, 4727])).
% 6.46/4.71 tff(10136,plain,
% 6.46/4.71 ((v119(constB67) | v120(constB67)) | (~v120(constB67))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10137,plain,
% 6.46/4.71 (v119(constB67) | v120(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10136, 10069])).
% 6.46/4.71 tff(10138,plain,
% 6.46/4.71 ((~(v118(constB67) <=> (v119(constB67) | v120(constB67)))) | v118(constB67) | (~(v119(constB67) | v120(constB67)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10139,plain,
% 6.46/4.71 (v118(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10138, 10137, 10135])).
% 6.46/4.71 tff(10140,plain,
% 6.46/4.71 ((v118(constB67) | v121(constB67)) | (~v118(constB67))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10141,plain,
% 6.46/4.71 (v118(constB67) | v121(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10140, 10139])).
% 6.46/4.71 tff(10142,plain,
% 6.46/4.71 ((~(v117(constB67) <=> (v118(constB67) | v121(constB67)))) | v117(constB67) | (~(v118(constB67) | v121(constB67)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10143,plain,
% 6.46/4.71 (v117(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10142, 10141, 10133])).
% 6.46/4.71 tff(10144,plain,
% 6.46/4.71 ((v117(constB67) | v122(constB67)) | (~v117(constB67))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10145,plain,
% 6.46/4.71 (v117(constB67) | v122(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10144, 10143])).
% 6.46/4.71 tff(10146,plain,
% 6.46/4.71 ((~(v116(constB67) <=> (v117(constB67) | v122(constB67)))) | v116(constB67) | (~(v117(constB67) | v122(constB67)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10147,plain,
% 6.46/4.71 (v116(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10146, 10145, 10131])).
% 6.46/4.71 tff(10148,plain,
% 6.46/4.71 ((v116(constB67) | v123(constB67)) | (~v116(constB67))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10149,plain,
% 6.46/4.71 (v116(constB67) | v123(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10148, 10147])).
% 6.46/4.71 tff(10150,plain,
% 6.46/4.71 ((~(v115(constB67) <=> (v116(constB67) | v123(constB67)))) | v115(constB67) | (~(v116(constB67) | v123(constB67)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10151,plain,
% 6.46/4.71 (v115(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10150, 10149, 10129])).
% 6.46/4.71 tff(10152,plain,
% 6.46/4.71 ((v115(constB67) | v124(constB67)) | (~v115(constB67))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10153,plain,
% 6.46/4.71 (v115(constB67) | v124(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10152, 10151])).
% 6.46/4.71 tff(10154,plain,
% 6.46/4.71 ((~(v114(constB67) <=> (v115(constB67) | v124(constB67)))) | v114(constB67) | (~(v115(constB67) | v124(constB67)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10155,plain,
% 6.46/4.71 (v114(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10154, 10153, 10127])).
% 6.46/4.71 tff(10156,plain,
% 6.46/4.71 ((v114(constB67) | v125(constB67)) | (~v114(constB67))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10157,plain,
% 6.46/4.71 (v114(constB67) | v125(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10156, 10155])).
% 6.46/4.71 tff(10158,plain,
% 6.46/4.71 ((~(v113(constB67) <=> (v114(constB67) | v125(constB67)))) | v113(constB67) | (~(v114(constB67) | v125(constB67)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10159,plain,
% 6.46/4.71 (v113(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10158, 10157, 10125])).
% 6.46/4.71 tff(10160,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB67)) <=> v111(constB67))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10161,plain,
% 6.46/4.71 ((~v126(constB67)) <=> v111(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10160, 4761])).
% 6.46/4.71 tff(10162,plain,
% 6.46/4.71 ((~((~v126(constB67)) <=> v111(constB67))) | v126(constB67) | v111(constB67)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10163,plain,
% 6.46/4.71 ((~((~v126(constB67)) <=> v111(constB67))) | v126(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10162, 2382])).
% 6.46/4.71 tff(10164,plain,
% 6.46/4.71 (v126(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10163, 10161])).
% 6.46/4.71 tff(10165,plain,
% 6.46/4.71 ((~((~v113(constB67)) | (~v126(constB67)))) | (~v113(constB67)) | (~v126(constB67))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10166,plain,
% 6.46/4.71 ((~((~v113(constB67)) | (~v126(constB67)))) | (~v113(constB67))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10165, 10164])).
% 6.46/4.71 tff(10167,plain,
% 6.46/4.71 (~((~v113(constB67)) | (~v126(constB67)))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10166, 10159])).
% 6.46/4.71 tff(10168,plain,
% 6.46/4.71 ((~(v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67)))))) | v112(constB67) | ((~v113(constB67)) | (~v126(constB67)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10169,plain,
% 6.46/4.71 (v112(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10168, 10167, 10123])).
% 6.46/4.71 tff(10170,plain,
% 6.46/4.71 ((v111(constB67) | v112(constB67)) | (~v112(constB67))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10171,plain,
% 6.46/4.71 (v111(constB67) | v112(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10170, 10169])).
% 6.46/4.71 tff(10172,plain,
% 6.46/4.71 ((~(v108(constB67) <=> (v111(constB67) | v112(constB67)))) | v108(constB67) | (~(v111(constB67) | v112(constB67)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10173,plain,
% 6.46/4.71 (v108(constB67)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10172, 10171, 10121])).
% 6.46/4.71 tff(10174,plain,
% 6.46/4.71 ((~(v110(constB68) <=> v108(constB67))) | v110(constB68) | (~v108(constB67))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10175,plain,
% 6.46/4.71 (v110(constB68)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10174, 10173, 10119])).
% 6.46/4.71 tff(10176,plain,
% 6.46/4.71 ((~((~v101(constB68)) | (~v110(constB68)))) | (~v101(constB68)) | (~v110(constB68))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10177,plain,
% 6.46/4.71 (~((~v101(constB68)) | (~v110(constB68)))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10176, 10175, 10115])).
% 6.46/4.71 tff(10178,plain,
% 6.46/4.71 ((~(v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68)))))) | v100(constB68) | ((~v101(constB68)) | (~v110(constB68)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10179,plain,
% 6.46/4.71 (v100(constB68)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10178, 10177, 10087])).
% 6.46/4.71 tff(10180,plain,
% 6.46/4.71 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB68)) | (~(((~v90(constB68, 2)) <=> v129(constB68, 2)) | ((~v90(constB68, 1)) <=> v129(constB68, 1)) | ((~v90(constB68, 0)) <=> v129(constB68, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB68)) | (~(((~v90(constB68, 2)) <=> v129(constB68, 2)) | ((~v90(constB68, 1)) <=> v129(constB68, 1)) | ((~v90(constB68, 0)) <=> v129(constB68, 0)))))),
% 6.46/4.71 inference(rewrite,[status(thm)],[])).
% 6.46/4.71 tff(10181,plain,
% 6.46/4.71 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB68)) | (~(((~v90(constB68, 2)) <=> v129(constB68, 2)) | ((~v90(constB68, 1)) <=> v129(constB68, 1)) | ((~v90(constB68, 0)) <=> v129(constB68, 0)))))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10182,plain,
% 6.46/4.71 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB68)) | (~(((~v90(constB68, 2)) <=> v129(constB68, 2)) | ((~v90(constB68, 1)) <=> v129(constB68, 1)) | ((~v90(constB68, 0)) <=> v129(constB68, 0))))),
% 6.46/4.71 inference(modus_ponens,[status(thm)],[10181, 10180])).
% 6.46/4.71 tff(10183,plain,
% 6.46/4.71 ((~v100(constB68)) | (~(((~v90(constB68, 2)) <=> v129(constB68, 2)) | ((~v90(constB68, 1)) <=> v129(constB68, 1)) | ((~v90(constB68, 0)) <=> v129(constB68, 0))))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10182, 4794])).
% 6.46/4.71 tff(10184,plain,
% 6.46/4.71 (~(((~v90(constB68, 2)) <=> v129(constB68, 2)) | ((~v90(constB68, 1)) <=> v129(constB68, 1)) | ((~v90(constB68, 0)) <=> v129(constB68, 0)))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10183, 10179])).
% 6.46/4.71 tff(10185,plain,
% 6.46/4.71 ((((~v90(constB68, 2)) <=> v129(constB68, 2)) | ((~v90(constB68, 1)) <=> v129(constB68, 1)) | ((~v90(constB68, 0)) <=> v129(constB68, 0))) | (~((~v90(constB68, 2)) <=> v129(constB68, 2)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10186,plain,
% 6.46/4.71 (~((~v90(constB68, 2)) <=> v129(constB68, 2))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10185, 10184])).
% 6.46/4.71 tff(10187,plain,
% 6.46/4.71 (((~v90(constB68, 2)) <=> v129(constB68, 2)) | (~v90(constB68, 2)) | v129(constB68, 2)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10188,plain,
% 6.46/4.71 (~v90(constB68, 2)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10187, 10186, 10083])).
% 6.46/4.71 tff(10189,plain,
% 6.46/4.71 (((~v90(constB69, 2)) <=> v90(constB68, 2)) | (~v90(constB69, 2)) | v90(constB68, 2)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10190,plain,
% 6.46/4.71 (~v90(constB69, 2)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10189, 10188, 2366])).
% 6.46/4.71 tff(10191,plain,
% 6.46/4.71 ((((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0))) | (~((~v90(constB69, 0)) <=> v90(constB68, 0)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10192,plain,
% 6.46/4.71 (~((~v90(constB69, 0)) <=> v90(constB68, 0))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10191, 2364])).
% 6.46/4.71 tff(10193,plain,
% 6.46/4.71 ((((~v129(constB68, 2)) <=> v127(constB67, 2)) | ((~v129(constB68, 1)) <=> v127(constB67, 1)) | ((~v129(constB68, 0)) <=> v127(constB67, 0))) | (~((~v129(constB68, 0)) <=> v127(constB67, 0)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10194,plain,
% 6.46/4.71 (~((~v129(constB68, 0)) <=> v127(constB67, 0))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10193, 2373])).
% 6.46/4.71 tff(10195,plain,
% 6.46/4.71 ((((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0))) | (~((~v127(constB67, 0)) <=> v130(constB67, 0)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10196,plain,
% 6.46/4.71 (~((~v127(constB67, 0)) <=> v130(constB67, 0))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10195, 2387])).
% 6.46/4.71 tff(10197,plain,
% 6.46/4.71 ((v130(constB67, 2) | v130(constB67, 0) | (~v130(constB67, 1))) | (~v130(constB67, 0))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10198,plain,
% 6.46/4.71 (~v130(constB67, 0)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10197, 10077])).
% 6.46/4.71 tff(10199,plain,
% 6.46/4.71 (((~v127(constB67, 0)) <=> v130(constB67, 0)) | (~v127(constB67, 0)) | v130(constB67, 0)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10200,plain,
% 6.46/4.71 (~v127(constB67, 0)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10199, 10198, 10196])).
% 6.46/4.71 tff(10201,plain,
% 6.46/4.71 (((~v129(constB68, 0)) <=> v127(constB67, 0)) | (~v129(constB68, 0)) | v127(constB67, 0)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10202,plain,
% 6.46/4.71 (~v129(constB68, 0)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10201, 10200, 10194])).
% 6.46/4.71 tff(10203,plain,
% 6.46/4.71 ((((~v90(constB68, 2)) <=> v129(constB68, 2)) | ((~v90(constB68, 1)) <=> v129(constB68, 1)) | ((~v90(constB68, 0)) <=> v129(constB68, 0))) | (~((~v90(constB68, 0)) <=> v129(constB68, 0)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10204,plain,
% 6.46/4.71 (~((~v90(constB68, 0)) <=> v129(constB68, 0))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10203, 10184])).
% 6.46/4.71 tff(10205,plain,
% 6.46/4.71 (((~v90(constB68, 0)) <=> v129(constB68, 0)) | (~v90(constB68, 0)) | v129(constB68, 0)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10206,plain,
% 6.46/4.71 (~v90(constB68, 0)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10205, 10204, 10202])).
% 6.46/4.71 tff(10207,plain,
% 6.46/4.71 (((~v90(constB69, 0)) <=> v90(constB68, 0)) | (~v90(constB69, 0)) | v90(constB68, 0)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10208,plain,
% 6.46/4.71 (~v90(constB69, 0)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10207, 10206, 10192])).
% 6.46/4.71 tff(10209,plain,
% 6.46/4.71 ((((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0))) | (~((~v90(constB69, 1)) <=> v90(constB68, 1)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10210,plain,
% 6.46/4.71 (~((~v90(constB69, 1)) <=> v90(constB68, 1))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10209, 2364])).
% 6.46/4.71 tff(10211,plain,
% 6.46/4.71 ((((~v129(constB68, 2)) <=> v127(constB67, 2)) | ((~v129(constB68, 1)) <=> v127(constB67, 1)) | ((~v129(constB68, 0)) <=> v127(constB67, 0))) | (~((~v129(constB68, 1)) <=> v127(constB67, 1)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10212,plain,
% 6.46/4.71 (~((~v129(constB68, 1)) <=> v127(constB67, 1))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10211, 2373])).
% 6.46/4.71 tff(10213,plain,
% 6.46/4.71 ((((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0))) | (~((~v127(constB67, 1)) <=> v130(constB67, 1)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10214,plain,
% 6.46/4.71 (~((~v127(constB67, 1)) <=> v130(constB67, 1))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10213, 2387])).
% 6.46/4.71 tff(10215,plain,
% 6.46/4.71 ((v130(constB67, 2) | v130(constB67, 0) | (~v130(constB67, 1))) | v130(constB67, 1)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10216,plain,
% 6.46/4.71 (v130(constB67, 1)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10215, 10077])).
% 6.46/4.71 tff(10217,plain,
% 6.46/4.71 (((~v127(constB67, 1)) <=> v130(constB67, 1)) | v127(constB67, 1) | (~v130(constB67, 1))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10218,plain,
% 6.46/4.71 (v127(constB67, 1)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10217, 10216, 10214])).
% 6.46/4.71 tff(10219,plain,
% 6.46/4.71 (((~v129(constB68, 1)) <=> v127(constB67, 1)) | v129(constB68, 1) | (~v127(constB67, 1))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10220,plain,
% 6.46/4.71 (v129(constB68, 1)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10219, 10218, 10212])).
% 6.46/4.71 tff(10221,plain,
% 6.46/4.71 ((((~v90(constB68, 2)) <=> v129(constB68, 2)) | ((~v90(constB68, 1)) <=> v129(constB68, 1)) | ((~v90(constB68, 0)) <=> v129(constB68, 0))) | (~((~v90(constB68, 1)) <=> v129(constB68, 1)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10222,plain,
% 6.46/4.71 (~((~v90(constB68, 1)) <=> v129(constB68, 1))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10221, 10184])).
% 6.46/4.71 tff(10223,plain,
% 6.46/4.71 (((~v90(constB68, 1)) <=> v129(constB68, 1)) | v90(constB68, 1) | (~v129(constB68, 1))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10224,plain,
% 6.46/4.71 (v90(constB68, 1)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10223, 10222, 10220])).
% 6.46/4.71 tff(10225,plain,
% 6.46/4.71 (((~v90(constB69, 1)) <=> v90(constB68, 1)) | v90(constB69, 1) | (~v90(constB68, 1))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10226,plain,
% 6.46/4.71 (v90(constB69, 1)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10225, 10224, 10210])).
% 6.46/4.71 tff(10227,plain,
% 6.46/4.71 ((~(v90(constB69, 2) | v90(constB69, 0) | (~v90(constB69, 1)))) | v90(constB69, 2) | v90(constB69, 0) | (~v90(constB69, 1))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10228,plain,
% 6.46/4.71 (~(v90(constB69, 2) | v90(constB69, 0) | (~v90(constB69, 1)))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10227, 10226, 10208, 10190])).
% 6.46/4.71 tff(10229,plain,
% 6.46/4.71 ((~(v121(constB69) <=> (~(v90(constB69, 2) | v90(constB69, 0) | (~v90(constB69, 1)))))) | v121(constB69) | (v90(constB69, 2) | v90(constB69, 0) | (~v90(constB69, 1)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10230,plain,
% 6.46/4.71 (v121(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10229, 10228, 2330])).
% 6.46/4.71 tff(10231,plain,
% 6.46/4.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB69)) | (~(v130(constB69, 2) | (~v130(constB69, 1)) | (~v130(constB69, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB69)) | (~(v130(constB69, 2) | (~v130(constB69, 1)) | (~v130(constB69, 0)))))),
% 6.46/4.71 inference(rewrite,[status(thm)],[])).
% 6.46/4.71 tff(10232,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB69)) | (~(v130(constB69, 2) | (~v130(constB69, 1)) | (~v130(constB69, 0)))))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10233,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB69)) | (~(v130(constB69, 2) | (~v130(constB69, 1)) | (~v130(constB69, 0))))),
% 6.46/4.71 inference(modus_ponens,[status(thm)],[10232, 10231])).
% 6.46/4.71 tff(10234,plain,
% 6.46/4.71 ((~v121(constB69)) | (~(v130(constB69, 2) | (~v130(constB69, 1)) | (~v130(constB69, 0))))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10233, 5420])).
% 6.46/4.71 tff(10235,plain,
% 6.46/4.71 (~(v130(constB69, 2) | (~v130(constB69, 1)) | (~v130(constB69, 0)))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10234, 10230])).
% 6.46/4.71 tff(10236,plain,
% 6.46/4.71 ((v130(constB69, 2) | (~v130(constB69, 1)) | (~v130(constB69, 0))) | (~v130(constB69, 2))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10237,plain,
% 6.46/4.71 (~v130(constB69, 2)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10236, 10235])).
% 6.46/4.71 tff(10238,plain,
% 6.46/4.71 (((~v127(constB69, 2)) <=> v130(constB69, 2)) | (~v127(constB69, 2)) | v130(constB69, 2)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10239,plain,
% 6.46/4.71 (~v127(constB69, 2)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10238, 10237, 2323])).
% 6.46/4.71 tff(10240,plain,
% 6.46/4.71 (((~v129(constB70, 2)) <=> v127(constB69, 2)) | (~v129(constB70, 2)) | v127(constB69, 2)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10241,plain,
% 6.46/4.71 (~v129(constB70, 2)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10240, 10239, 2309])).
% 6.46/4.71 tff(10242,plain,
% 6.46/4.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))))),
% 6.46/4.71 inference(rewrite,[status(thm)],[])).
% 6.46/4.71 tff(10243,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10244,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70)))))),
% 6.46/4.71 inference(modus_ponens,[status(thm)],[10243, 10242])).
% 6.46/4.71 tff(10245,plain,
% 6.46/4.71 (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10244, 2303, 273])).
% 6.46/4.71 tff(10246,plain,
% 6.46/4.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))),
% 6.46/4.71 inference(rewrite,[status(thm)],[])).
% 6.46/4.71 tff(10247,plain,
% 6.46/4.71 (((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70)))))) <=> ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))),
% 6.46/4.71 inference(rewrite,[status(thm)],[])).
% 6.46/4.71 tff(10248,plain,
% 6.46/4.71 (((~![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) <=> (~((~v1(constB70)) | (~v102(constB70)))))))),
% 6.46/4.71 inference(monotonicity,[status(thm)],[10247])).
% 6.46/4.71 tff(10249,plain,
% 6.46/4.71 (((~![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) <=> (~((~v1(constB70)) | (~v102(constB70))))))),
% 6.46/4.71 inference(transitivity,[status(thm)],[10248, 10246])).
% 6.46/4.71 tff(10250,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70))))))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10251,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70)))))),
% 6.46/4.71 inference(modus_ponens,[status(thm)],[10250, 10249])).
% 6.46/4.71 tff(10252,plain,
% 6.46/4.71 (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10251, 2303, 293])).
% 6.46/4.71 tff(10253,plain,
% 6.46/4.71 (((~![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)))),
% 6.46/4.71 inference(rewrite,[status(thm)],[])).
% 6.46/4.71 tff(10254,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10255,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70))),
% 6.46/4.71 inference(modus_ponens,[status(thm)],[10254, 10253])).
% 6.46/4.71 tff(10256,plain,
% 6.46/4.71 ((~v102(constB70)) <=> v104(constB70)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10255, 2303, 4609])).
% 6.46/4.71 tff(10257,plain,
% 6.46/4.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69)))),
% 6.46/4.71 inference(rewrite,[status(thm)],[])).
% 6.46/4.71 tff(10258,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10259,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69))),
% 6.46/4.71 inference(modus_ponens,[status(thm)],[10258, 10257])).
% 6.46/4.71 tff(10260,plain,
% 6.46/4.71 (v104(constB70) <=> v1(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10259, 2303, 4623])).
% 6.46/4.71 tff(10261,plain,
% 6.46/4.71 ((~(v104(constB70) <=> v1(constB69))) | (~v104(constB70)) | v1(constB69)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10262,plain,
% 6.46/4.71 ((~(v104(constB70) <=> v1(constB69))) | (~v104(constB70))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10261, 2347])).
% 6.46/4.71 tff(10263,plain,
% 6.46/4.71 (~v104(constB70)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10262, 10260])).
% 6.46/4.71 tff(10264,plain,
% 6.46/4.71 ((~((~v102(constB70)) <=> v104(constB70))) | v102(constB70) | v104(constB70)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10265,plain,
% 6.46/4.71 (v102(constB70)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10264, 10263, 10256])).
% 6.46/4.71 tff(10266,plain,
% 6.46/4.71 (v1(constB70) <=> v1(constB70)),
% 6.46/4.71 inference(rewrite,[status(thm)],[])).
% 6.46/4.71 tff(10267,axiom,(v1(constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_70')).
% 6.46/4.71 tff(10268,plain,
% 6.46/4.71 (v1(constB70)),
% 6.46/4.71 inference(modus_ponens,[status(thm)],[10267, 10266])).
% 6.46/4.71 tff(10269,plain,
% 6.46/4.71 ((~((~v1(constB70)) | (~v102(constB70)))) | (~v1(constB70)) | (~v102(constB70))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10270,plain,
% 6.46/4.71 ((~((~v1(constB70)) | (~v102(constB70)))) | (~v102(constB70))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10269, 10268])).
% 6.46/4.71 tff(10271,plain,
% 6.46/4.71 (~((~v1(constB70)) | (~v102(constB70)))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10270, 10265])).
% 6.46/4.71 tff(10272,plain,
% 6.46/4.71 ((~(v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70)))))) | v101(constB70) | ((~v1(constB70)) | (~v102(constB70)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10273,plain,
% 6.46/4.71 (v101(constB70)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10272, 10271, 10252])).
% 6.46/4.71 tff(10274,plain,
% 6.46/4.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69)))),
% 6.46/4.71 inference(rewrite,[status(thm)],[])).
% 6.46/4.71 tff(10275,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10276,plain,
% 6.46/4.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69))),
% 6.46/4.71 inference(modus_ponens,[status(thm)],[10275, 10274])).
% 6.46/4.71 tff(10277,plain,
% 6.46/4.71 (v110(constB70) <=> v108(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10276, 2303, 4650])).
% 6.46/4.71 tff(10278,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB69) <=> (v111(constB69) | v112(constB69)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10279,plain,
% 6.46/4.71 (v108(constB69) <=> (v111(constB69) | v112(constB69))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10278, 4661])).
% 6.46/4.71 tff(10280,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69)))))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10281,plain,
% 6.46/4.71 (v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69))))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10280, 4673])).
% 6.46/4.71 tff(10282,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB69) <=> (v114(constB69) | v125(constB69)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10283,plain,
% 6.46/4.71 (v113(constB69) <=> (v114(constB69) | v125(constB69))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10282, 4682])).
% 6.46/4.71 tff(10284,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB69) <=> (v115(constB69) | v124(constB69)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10285,plain,
% 6.46/4.71 (v114(constB69) <=> (v115(constB69) | v124(constB69))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10284, 4691])).
% 6.46/4.71 tff(10286,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB69) <=> (v116(constB69) | v123(constB69)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10287,plain,
% 6.46/4.71 (v115(constB69) <=> (v116(constB69) | v123(constB69))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10286, 4700])).
% 6.46/4.71 tff(10288,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB69) <=> (v117(constB69) | v122(constB69)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10289,plain,
% 6.46/4.71 (v116(constB69) <=> (v117(constB69) | v122(constB69))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10288, 4709])).
% 6.46/4.71 tff(10290,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB69) <=> (v118(constB69) | v121(constB69)))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10291,plain,
% 6.46/4.71 (v117(constB69) <=> (v118(constB69) | v121(constB69))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10290, 4718])).
% 6.46/4.71 tff(10292,plain,
% 6.46/4.71 ((v118(constB69) | v121(constB69)) | (~v121(constB69))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10293,plain,
% 6.46/4.71 (v118(constB69) | v121(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10292, 10230])).
% 6.46/4.71 tff(10294,plain,
% 6.46/4.71 ((~(v117(constB69) <=> (v118(constB69) | v121(constB69)))) | v117(constB69) | (~(v118(constB69) | v121(constB69)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10295,plain,
% 6.46/4.71 (v117(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10294, 10293, 10291])).
% 6.46/4.71 tff(10296,plain,
% 6.46/4.71 ((v117(constB69) | v122(constB69)) | (~v117(constB69))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10297,plain,
% 6.46/4.71 (v117(constB69) | v122(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10296, 10295])).
% 6.46/4.71 tff(10298,plain,
% 6.46/4.71 ((~(v116(constB69) <=> (v117(constB69) | v122(constB69)))) | v116(constB69) | (~(v117(constB69) | v122(constB69)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10299,plain,
% 6.46/4.71 (v116(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10298, 10297, 10289])).
% 6.46/4.71 tff(10300,plain,
% 6.46/4.71 ((v116(constB69) | v123(constB69)) | (~v116(constB69))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10301,plain,
% 6.46/4.71 (v116(constB69) | v123(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10300, 10299])).
% 6.46/4.71 tff(10302,plain,
% 6.46/4.71 ((~(v115(constB69) <=> (v116(constB69) | v123(constB69)))) | v115(constB69) | (~(v116(constB69) | v123(constB69)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10303,plain,
% 6.46/4.71 (v115(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10302, 10301, 10287])).
% 6.46/4.71 tff(10304,plain,
% 6.46/4.71 ((v115(constB69) | v124(constB69)) | (~v115(constB69))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10305,plain,
% 6.46/4.71 (v115(constB69) | v124(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10304, 10303])).
% 6.46/4.71 tff(10306,plain,
% 6.46/4.71 ((~(v114(constB69) <=> (v115(constB69) | v124(constB69)))) | v114(constB69) | (~(v115(constB69) | v124(constB69)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10307,plain,
% 6.46/4.71 (v114(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10306, 10305, 10285])).
% 6.46/4.71 tff(10308,plain,
% 6.46/4.71 ((v114(constB69) | v125(constB69)) | (~v114(constB69))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10309,plain,
% 6.46/4.71 (v114(constB69) | v125(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10308, 10307])).
% 6.46/4.71 tff(10310,plain,
% 6.46/4.71 ((~(v113(constB69) <=> (v114(constB69) | v125(constB69)))) | v113(constB69) | (~(v114(constB69) | v125(constB69)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10311,plain,
% 6.46/4.71 (v113(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10310, 10309, 10283])).
% 6.46/4.71 tff(10312,plain,
% 6.46/4.71 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB69)) <=> v111(constB69))),
% 6.46/4.71 inference(quant_inst,[status(thm)],[])).
% 6.46/4.71 tff(10313,plain,
% 6.46/4.71 ((~v126(constB69)) <=> v111(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10312, 4761])).
% 6.46/4.71 tff(10314,plain,
% 6.46/4.71 ((~((~v126(constB69)) <=> v111(constB69))) | v126(constB69) | v111(constB69)),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10315,plain,
% 6.46/4.71 ((~((~v126(constB69)) <=> v111(constB69))) | v126(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10314, 2316])).
% 6.46/4.71 tff(10316,plain,
% 6.46/4.71 (v126(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10315, 10313])).
% 6.46/4.71 tff(10317,plain,
% 6.46/4.71 ((~((~v113(constB69)) | (~v126(constB69)))) | (~v113(constB69)) | (~v126(constB69))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10318,plain,
% 6.46/4.71 ((~((~v113(constB69)) | (~v126(constB69)))) | (~v113(constB69))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10317, 10316])).
% 6.46/4.71 tff(10319,plain,
% 6.46/4.71 (~((~v113(constB69)) | (~v126(constB69)))),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10318, 10311])).
% 6.46/4.71 tff(10320,plain,
% 6.46/4.71 ((~(v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69)))))) | v112(constB69) | ((~v113(constB69)) | (~v126(constB69)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10321,plain,
% 6.46/4.71 (v112(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10320, 10319, 10281])).
% 6.46/4.71 tff(10322,plain,
% 6.46/4.71 ((v111(constB69) | v112(constB69)) | (~v112(constB69))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.71 tff(10323,plain,
% 6.46/4.71 (v111(constB69) | v112(constB69)),
% 6.46/4.71 inference(unit_resolution,[status(thm)],[10322, 10321])).
% 6.46/4.71 tff(10324,plain,
% 6.46/4.71 ((~(v108(constB69) <=> (v111(constB69) | v112(constB69)))) | v108(constB69) | (~(v111(constB69) | v112(constB69)))),
% 6.46/4.71 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10325,plain,
% 6.46/4.72 (v108(constB69)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10324, 10323, 10279])).
% 6.46/4.72 tff(10326,plain,
% 6.46/4.72 ((~(v110(constB70) <=> v108(constB69))) | v110(constB70) | (~v108(constB69))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10327,plain,
% 6.46/4.72 (v110(constB70)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10326, 10325, 10277])).
% 6.46/4.72 tff(10328,plain,
% 6.46/4.72 ((~((~v101(constB70)) | (~v110(constB70)))) | (~v101(constB70)) | (~v110(constB70))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10329,plain,
% 6.46/4.72 (~((~v101(constB70)) | (~v110(constB70)))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10328, 10327, 10273])).
% 6.46/4.72 tff(10330,plain,
% 6.46/4.72 ((~(v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70)))))) | v100(constB70) | ((~v101(constB70)) | (~v110(constB70)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10331,plain,
% 6.46/4.72 (v100(constB70)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10330, 10329, 10245])).
% 6.46/4.72 tff(10332,plain,
% 6.46/4.72 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB70)) | (~(((~v90(constB70, 0)) <=> v129(constB70, 0)) | ((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB70)) | (~(((~v90(constB70, 0)) <=> v129(constB70, 0)) | ((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1)))))),
% 6.46/4.72 inference(rewrite,[status(thm)],[])).
% 6.46/4.72 tff(10333,plain,
% 6.46/4.72 (((~v100(constB70)) | (~(((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1)) | ((~v90(constB70, 0)) <=> v129(constB70, 0))))) <=> ((~v100(constB70)) | (~(((~v90(constB70, 0)) <=> v129(constB70, 0)) | ((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1)))))),
% 6.46/4.72 inference(rewrite,[status(thm)],[])).
% 6.46/4.72 tff(10334,plain,
% 6.46/4.72 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB70)) | (~(((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1)) | ((~v90(constB70, 0)) <=> v129(constB70, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB70)) | (~(((~v90(constB70, 0)) <=> v129(constB70, 0)) | ((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1))))))),
% 6.46/4.72 inference(monotonicity,[status(thm)],[10333])).
% 6.46/4.72 tff(10335,plain,
% 6.46/4.72 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB70)) | (~(((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1)) | ((~v90(constB70, 0)) <=> v129(constB70, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB70)) | (~(((~v90(constB70, 0)) <=> v129(constB70, 0)) | ((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1)))))),
% 6.46/4.72 inference(transitivity,[status(thm)],[10334, 10332])).
% 6.46/4.72 tff(10336,plain,
% 6.46/4.72 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB70)) | (~(((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1)) | ((~v90(constB70, 0)) <=> v129(constB70, 0)))))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10337,plain,
% 6.46/4.72 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB70)) | (~(((~v90(constB70, 0)) <=> v129(constB70, 0)) | ((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1))))),
% 6.46/4.72 inference(modus_ponens,[status(thm)],[10336, 10335])).
% 6.46/4.72 tff(10338,plain,
% 6.46/4.72 ((~v100(constB70)) | (~(((~v90(constB70, 0)) <=> v129(constB70, 0)) | ((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1))))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10337, 4794])).
% 6.46/4.72 tff(10339,plain,
% 6.46/4.72 (~(((~v90(constB70, 0)) <=> v129(constB70, 0)) | ((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1)))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10338, 10331])).
% 6.46/4.72 tff(10340,plain,
% 6.46/4.72 ((((~v90(constB70, 0)) <=> v129(constB70, 0)) | ((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1))) | (~((~v90(constB70, 2)) <=> v129(constB70, 2)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10341,plain,
% 6.46/4.72 (~((~v90(constB70, 2)) <=> v129(constB70, 2))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10340, 10339])).
% 6.46/4.72 tff(10342,plain,
% 6.46/4.72 (((~v90(constB70, 2)) <=> v129(constB70, 2)) | (~v90(constB70, 2)) | v129(constB70, 2)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10343,plain,
% 6.46/4.72 (~v90(constB70, 2)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10342, 10341, 10241])).
% 6.46/4.72 tff(10344,plain,
% 6.46/4.72 (((~v90(constB71, 2)) <=> v90(constB70, 2)) | (~v90(constB71, 2)) | v90(constB70, 2)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10345,plain,
% 6.46/4.72 (~v90(constB71, 2)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10344, 10343, 2300])).
% 6.46/4.72 tff(10346,plain,
% 6.46/4.72 ((((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0))) | (~((~v90(constB71, 0)) <=> v90(constB70, 0)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10347,plain,
% 6.46/4.72 (~((~v90(constB71, 0)) <=> v90(constB70, 0))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10346, 2298])).
% 6.46/4.72 tff(10348,plain,
% 6.46/4.72 ((((~v129(constB70, 2)) <=> v127(constB69, 2)) | ((~v129(constB70, 1)) <=> v127(constB69, 1)) | ((~v129(constB70, 0)) <=> v127(constB69, 0))) | (~((~v129(constB70, 0)) <=> v127(constB69, 0)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10349,plain,
% 6.46/4.72 (~((~v129(constB70, 0)) <=> v127(constB69, 0))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10348, 2307])).
% 6.46/4.72 tff(10350,plain,
% 6.46/4.72 ((((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0))) | (~((~v127(constB69, 0)) <=> v130(constB69, 0)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10351,plain,
% 6.46/4.72 (~((~v127(constB69, 0)) <=> v130(constB69, 0))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10350, 2321])).
% 6.46/4.72 tff(10352,plain,
% 6.46/4.72 ((v130(constB69, 2) | (~v130(constB69, 1)) | (~v130(constB69, 0))) | v130(constB69, 0)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10353,plain,
% 6.46/4.72 (v130(constB69, 0)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10352, 10235])).
% 6.46/4.72 tff(10354,plain,
% 6.46/4.72 (((~v127(constB69, 0)) <=> v130(constB69, 0)) | v127(constB69, 0) | (~v130(constB69, 0))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10355,plain,
% 6.46/4.72 (v127(constB69, 0)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10354, 10353, 10351])).
% 6.46/4.72 tff(10356,plain,
% 6.46/4.72 (((~v129(constB70, 0)) <=> v127(constB69, 0)) | v129(constB70, 0) | (~v127(constB69, 0))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10357,plain,
% 6.46/4.72 (v129(constB70, 0)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10356, 10355, 10349])).
% 6.46/4.72 tff(10358,plain,
% 6.46/4.72 ((((~v90(constB70, 0)) <=> v129(constB70, 0)) | ((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1))) | (~((~v90(constB70, 0)) <=> v129(constB70, 0)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10359,plain,
% 6.46/4.72 (~((~v90(constB70, 0)) <=> v129(constB70, 0))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10358, 10339])).
% 6.46/4.72 tff(10360,plain,
% 6.46/4.72 (((~v90(constB70, 0)) <=> v129(constB70, 0)) | v90(constB70, 0) | (~v129(constB70, 0))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10361,plain,
% 6.46/4.72 (v90(constB70, 0)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10360, 10359, 10357])).
% 6.46/4.72 tff(10362,plain,
% 6.46/4.72 (((~v90(constB71, 0)) <=> v90(constB70, 0)) | v90(constB71, 0) | (~v90(constB70, 0))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10363,plain,
% 6.46/4.72 (v90(constB71, 0)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10362, 10361, 10347])).
% 6.46/4.72 tff(10364,plain,
% 6.46/4.72 ((((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0))) | (~((~v90(constB71, 1)) <=> v90(constB70, 1)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10365,plain,
% 6.46/4.72 (~((~v90(constB71, 1)) <=> v90(constB70, 1))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10364, 2298])).
% 6.46/4.72 tff(10366,plain,
% 6.46/4.72 ((((~v129(constB70, 2)) <=> v127(constB69, 2)) | ((~v129(constB70, 1)) <=> v127(constB69, 1)) | ((~v129(constB70, 0)) <=> v127(constB69, 0))) | (~((~v129(constB70, 1)) <=> v127(constB69, 1)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10367,plain,
% 6.46/4.72 (~((~v129(constB70, 1)) <=> v127(constB69, 1))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10366, 2307])).
% 6.46/4.72 tff(10368,plain,
% 6.46/4.72 ((((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0))) | (~((~v127(constB69, 1)) <=> v130(constB69, 1)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10369,plain,
% 6.46/4.72 (~((~v127(constB69, 1)) <=> v130(constB69, 1))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10368, 2321])).
% 6.46/4.72 tff(10370,plain,
% 6.46/4.72 ((v130(constB69, 2) | (~v130(constB69, 1)) | (~v130(constB69, 0))) | v130(constB69, 1)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10371,plain,
% 6.46/4.72 (v130(constB69, 1)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10370, 10235])).
% 6.46/4.72 tff(10372,plain,
% 6.46/4.72 (((~v127(constB69, 1)) <=> v130(constB69, 1)) | v127(constB69, 1) | (~v130(constB69, 1))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10373,plain,
% 6.46/4.72 (v127(constB69, 1)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10372, 10371, 10369])).
% 6.46/4.72 tff(10374,plain,
% 6.46/4.72 (((~v129(constB70, 1)) <=> v127(constB69, 1)) | v129(constB70, 1) | (~v127(constB69, 1))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10375,plain,
% 6.46/4.72 (v129(constB70, 1)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10374, 10373, 10367])).
% 6.46/4.72 tff(10376,plain,
% 6.46/4.72 ((((~v90(constB70, 0)) <=> v129(constB70, 0)) | ((~v90(constB70, 2)) <=> v129(constB70, 2)) | ((~v90(constB70, 1)) <=> v129(constB70, 1))) | (~((~v90(constB70, 1)) <=> v129(constB70, 1)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10377,plain,
% 6.46/4.72 (~((~v90(constB70, 1)) <=> v129(constB70, 1))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10376, 10339])).
% 6.46/4.72 tff(10378,plain,
% 6.46/4.72 (((~v90(constB70, 1)) <=> v129(constB70, 1)) | v90(constB70, 1) | (~v129(constB70, 1))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10379,plain,
% 6.46/4.72 (v90(constB70, 1)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10378, 10377, 10375])).
% 6.46/4.72 tff(10380,plain,
% 6.46/4.72 (((~v90(constB71, 1)) <=> v90(constB70, 1)) | v90(constB71, 1) | (~v90(constB70, 1))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10381,plain,
% 6.46/4.72 (v90(constB71, 1)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10380, 10379, 10365])).
% 6.46/4.72 tff(10382,plain,
% 6.46/4.72 ((~(v90(constB71, 2) | (~v90(constB71, 1)) | (~v90(constB71, 0)))) | v90(constB71, 2) | (~v90(constB71, 1)) | (~v90(constB71, 0))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10383,plain,
% 6.46/4.72 (~(v90(constB71, 2) | (~v90(constB71, 1)) | (~v90(constB71, 0)))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10382, 10381, 10363, 10345])).
% 6.46/4.72 tff(10384,plain,
% 6.46/4.72 ((~(v122(constB71) <=> (~(v90(constB71, 2) | (~v90(constB71, 1)) | (~v90(constB71, 0)))))) | v122(constB71) | (v90(constB71, 2) | (~v90(constB71, 1)) | (~v90(constB71, 0)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10385,plain,
% 6.46/4.72 (v122(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10384, 10383, 2264])).
% 6.46/4.72 tff(10386,plain,
% 6.46/4.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB71)) | (~(v130(constB71, 1) | v130(constB71, 0) | (~v130(constB71, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB71)) | (~(v130(constB71, 1) | v130(constB71, 0) | (~v130(constB71, 2)))))),
% 6.46/4.72 inference(rewrite,[status(thm)],[])).
% 6.46/4.72 tff(10387,plain,
% 6.46/4.72 (((~v122(constB71)) | (~(v130(constB71, 0) | v130(constB71, 1) | (~v130(constB71, 2))))) <=> ((~v122(constB71)) | (~(v130(constB71, 1) | v130(constB71, 0) | (~v130(constB71, 2)))))),
% 6.46/4.72 inference(rewrite,[status(thm)],[])).
% 6.46/4.72 tff(10388,plain,
% 6.46/4.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB71)) | (~(v130(constB71, 0) | v130(constB71, 1) | (~v130(constB71, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB71)) | (~(v130(constB71, 1) | v130(constB71, 0) | (~v130(constB71, 2))))))),
% 6.46/4.72 inference(monotonicity,[status(thm)],[10387])).
% 6.46/4.72 tff(10389,plain,
% 6.46/4.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB71)) | (~(v130(constB71, 0) | v130(constB71, 1) | (~v130(constB71, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB71)) | (~(v130(constB71, 1) | v130(constB71, 0) | (~v130(constB71, 2)))))),
% 6.46/4.72 inference(transitivity,[status(thm)],[10388, 10386])).
% 6.46/4.72 tff(10390,plain,
% 6.46/4.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB71)) | (~(v130(constB71, 0) | v130(constB71, 1) | (~v130(constB71, 2)))))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10391,plain,
% 6.46/4.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB71)) | (~(v130(constB71, 1) | v130(constB71, 0) | (~v130(constB71, 2))))),
% 6.46/4.72 inference(modus_ponens,[status(thm)],[10390, 10389])).
% 6.46/4.72 tff(10392,plain,
% 6.46/4.72 ((~v122(constB71)) | (~(v130(constB71, 1) | v130(constB71, 0) | (~v130(constB71, 2))))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10391, 5588])).
% 6.46/4.72 tff(10393,plain,
% 6.46/4.72 (~(v130(constB71, 1) | v130(constB71, 0) | (~v130(constB71, 2)))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10392, 10385])).
% 6.46/4.72 tff(10394,plain,
% 6.46/4.72 ((v130(constB71, 1) | v130(constB71, 0) | (~v130(constB71, 2))) | v130(constB71, 2)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10395,plain,
% 6.46/4.72 (v130(constB71, 2)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10394, 10393])).
% 6.46/4.72 tff(10396,plain,
% 6.46/4.72 (((~v127(constB71, 2)) <=> v130(constB71, 2)) | v127(constB71, 2) | (~v130(constB71, 2))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10397,plain,
% 6.46/4.72 (v127(constB71, 2)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10396, 10395, 2257])).
% 6.46/4.72 tff(10398,plain,
% 6.46/4.72 (((~v129(constB72, 2)) <=> v127(constB71, 2)) | v129(constB72, 2) | (~v127(constB71, 2))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10399,plain,
% 6.46/4.72 (v129(constB72, 2)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10398, 10397, 2243])).
% 6.46/4.72 tff(10400,plain,
% 6.46/4.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))))),
% 6.46/4.72 inference(rewrite,[status(thm)],[])).
% 6.46/4.72 tff(10401,plain,
% 6.46/4.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10402,plain,
% 6.46/4.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72)))))),
% 6.46/4.72 inference(modus_ponens,[status(thm)],[10401, 10400])).
% 6.46/4.72 tff(10403,plain,
% 6.46/4.72 (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10402, 2237, 273])).
% 6.46/4.72 tff(10404,plain,
% 6.46/4.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 6.46/4.72 inference(rewrite,[status(thm)],[])).
% 6.46/4.72 tff(10405,plain,
% 6.46/4.72 (((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72)))))) <=> ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 6.46/4.72 inference(rewrite,[status(thm)],[])).
% 6.46/4.72 tff(10406,plain,
% 6.46/4.72 (((~![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) <=> (~((~v1(constB72)) | (~v102(constB72)))))))),
% 6.46/4.72 inference(monotonicity,[status(thm)],[10405])).
% 6.46/4.72 tff(10407,plain,
% 6.46/4.72 (((~![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) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 6.46/4.72 inference(transitivity,[status(thm)],[10406, 10404])).
% 6.46/4.72 tff(10408,plain,
% 6.46/4.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72))))))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10409,plain,
% 6.46/4.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))),
% 6.46/4.72 inference(modus_ponens,[status(thm)],[10408, 10407])).
% 6.46/4.72 tff(10410,plain,
% 6.46/4.72 (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10409, 2237, 293])).
% 6.46/4.72 tff(10411,plain,
% 6.46/4.72 (((~![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)))),
% 6.46/4.72 inference(rewrite,[status(thm)],[])).
% 6.46/4.72 tff(10412,plain,
% 6.46/4.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72)))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10413,plain,
% 6.46/4.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72))),
% 6.46/4.72 inference(modus_ponens,[status(thm)],[10412, 10411])).
% 6.46/4.72 tff(10414,plain,
% 6.46/4.72 ((~v102(constB72)) <=> v104(constB72)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10413, 2237, 4609])).
% 6.46/4.72 tff(10415,plain,
% 6.46/4.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71)))),
% 6.46/4.72 inference(rewrite,[status(thm)],[])).
% 6.46/4.72 tff(10416,plain,
% 6.46/4.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71)))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10417,plain,
% 6.46/4.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71))),
% 6.46/4.72 inference(modus_ponens,[status(thm)],[10416, 10415])).
% 6.46/4.72 tff(10418,plain,
% 6.46/4.72 (v104(constB72) <=> v1(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10417, 2237, 4623])).
% 6.46/4.72 tff(10419,plain,
% 6.46/4.72 ((~(v104(constB72) <=> v1(constB71))) | (~v104(constB72)) | v1(constB71)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10420,plain,
% 6.46/4.72 ((~(v104(constB72) <=> v1(constB71))) | (~v104(constB72))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10419, 2281])).
% 6.46/4.72 tff(10421,plain,
% 6.46/4.72 (~v104(constB72)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10420, 10418])).
% 6.46/4.72 tff(10422,plain,
% 6.46/4.72 ((~((~v102(constB72)) <=> v104(constB72))) | v102(constB72) | v104(constB72)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10423,plain,
% 6.46/4.72 (v102(constB72)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10422, 10421, 10414])).
% 6.46/4.72 tff(10424,plain,
% 6.46/4.72 (v1(constB72) <=> v1(constB72)),
% 6.46/4.72 inference(rewrite,[status(thm)],[])).
% 6.46/4.72 tff(10425,axiom,(v1(constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_72')).
% 6.46/4.72 tff(10426,plain,
% 6.46/4.72 (v1(constB72)),
% 6.46/4.72 inference(modus_ponens,[status(thm)],[10425, 10424])).
% 6.46/4.72 tff(10427,plain,
% 6.46/4.72 ((~((~v1(constB72)) | (~v102(constB72)))) | (~v1(constB72)) | (~v102(constB72))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10428,plain,
% 6.46/4.72 ((~((~v1(constB72)) | (~v102(constB72)))) | (~v102(constB72))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10427, 10426])).
% 6.46/4.72 tff(10429,plain,
% 6.46/4.72 (~((~v1(constB72)) | (~v102(constB72)))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10428, 10423])).
% 6.46/4.72 tff(10430,plain,
% 6.46/4.72 ((~(v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))) | v101(constB72) | ((~v1(constB72)) | (~v102(constB72)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10431,plain,
% 6.46/4.72 (v101(constB72)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10430, 10429, 10410])).
% 6.46/4.72 tff(10432,plain,
% 6.46/4.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71)))),
% 6.46/4.72 inference(rewrite,[status(thm)],[])).
% 6.46/4.72 tff(10433,plain,
% 6.46/4.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71)))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10434,plain,
% 6.46/4.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71))),
% 6.46/4.72 inference(modus_ponens,[status(thm)],[10433, 10432])).
% 6.46/4.72 tff(10435,plain,
% 6.46/4.72 (v110(constB72) <=> v108(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10434, 2237, 4650])).
% 6.46/4.72 tff(10436,plain,
% 6.46/4.72 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB71) <=> (v111(constB71) | v112(constB71)))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10437,plain,
% 6.46/4.72 (v108(constB71) <=> (v111(constB71) | v112(constB71))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10436, 4661])).
% 6.46/4.72 tff(10438,plain,
% 6.46/4.72 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71)))))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10439,plain,
% 6.46/4.72 (v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71))))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10438, 4673])).
% 6.46/4.72 tff(10440,plain,
% 6.46/4.72 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB71) <=> (v114(constB71) | v125(constB71)))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10441,plain,
% 6.46/4.72 (v113(constB71) <=> (v114(constB71) | v125(constB71))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10440, 4682])).
% 6.46/4.72 tff(10442,plain,
% 6.46/4.72 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB71) <=> (v115(constB71) | v124(constB71)))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10443,plain,
% 6.46/4.72 (v114(constB71) <=> (v115(constB71) | v124(constB71))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10442, 4691])).
% 6.46/4.72 tff(10444,plain,
% 6.46/4.72 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB71) <=> (v116(constB71) | v123(constB71)))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10445,plain,
% 6.46/4.72 (v115(constB71) <=> (v116(constB71) | v123(constB71))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10444, 4700])).
% 6.46/4.72 tff(10446,plain,
% 6.46/4.72 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB71) <=> (v117(constB71) | v122(constB71)))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10447,plain,
% 6.46/4.72 (v116(constB71) <=> (v117(constB71) | v122(constB71))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10446, 4709])).
% 6.46/4.72 tff(10448,plain,
% 6.46/4.72 ((v117(constB71) | v122(constB71)) | (~v122(constB71))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10449,plain,
% 6.46/4.72 (v117(constB71) | v122(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10448, 10385])).
% 6.46/4.72 tff(10450,plain,
% 6.46/4.72 ((~(v116(constB71) <=> (v117(constB71) | v122(constB71)))) | v116(constB71) | (~(v117(constB71) | v122(constB71)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10451,plain,
% 6.46/4.72 (v116(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10450, 10449, 10447])).
% 6.46/4.72 tff(10452,plain,
% 6.46/4.72 ((v116(constB71) | v123(constB71)) | (~v116(constB71))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10453,plain,
% 6.46/4.72 (v116(constB71) | v123(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10452, 10451])).
% 6.46/4.72 tff(10454,plain,
% 6.46/4.72 ((~(v115(constB71) <=> (v116(constB71) | v123(constB71)))) | v115(constB71) | (~(v116(constB71) | v123(constB71)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10455,plain,
% 6.46/4.72 (v115(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10454, 10453, 10445])).
% 6.46/4.72 tff(10456,plain,
% 6.46/4.72 ((v115(constB71) | v124(constB71)) | (~v115(constB71))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10457,plain,
% 6.46/4.72 (v115(constB71) | v124(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10456, 10455])).
% 6.46/4.72 tff(10458,plain,
% 6.46/4.72 ((~(v114(constB71) <=> (v115(constB71) | v124(constB71)))) | v114(constB71) | (~(v115(constB71) | v124(constB71)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10459,plain,
% 6.46/4.72 (v114(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10458, 10457, 10443])).
% 6.46/4.72 tff(10460,plain,
% 6.46/4.72 ((v114(constB71) | v125(constB71)) | (~v114(constB71))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10461,plain,
% 6.46/4.72 (v114(constB71) | v125(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10460, 10459])).
% 6.46/4.72 tff(10462,plain,
% 6.46/4.72 ((~(v113(constB71) <=> (v114(constB71) | v125(constB71)))) | v113(constB71) | (~(v114(constB71) | v125(constB71)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10463,plain,
% 6.46/4.72 (v113(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10462, 10461, 10441])).
% 6.46/4.72 tff(10464,plain,
% 6.46/4.72 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB71)) <=> v111(constB71))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10465,plain,
% 6.46/4.72 ((~v126(constB71)) <=> v111(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10464, 4761])).
% 6.46/4.72 tff(10466,plain,
% 6.46/4.72 ((~((~v126(constB71)) <=> v111(constB71))) | v126(constB71) | v111(constB71)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10467,plain,
% 6.46/4.72 ((~((~v126(constB71)) <=> v111(constB71))) | v126(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10466, 2250])).
% 6.46/4.72 tff(10468,plain,
% 6.46/4.72 (v126(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10467, 10465])).
% 6.46/4.72 tff(10469,plain,
% 6.46/4.72 ((~((~v113(constB71)) | (~v126(constB71)))) | (~v113(constB71)) | (~v126(constB71))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10470,plain,
% 6.46/4.72 ((~((~v113(constB71)) | (~v126(constB71)))) | (~v113(constB71))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10469, 10468])).
% 6.46/4.72 tff(10471,plain,
% 6.46/4.72 (~((~v113(constB71)) | (~v126(constB71)))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10470, 10463])).
% 6.46/4.72 tff(10472,plain,
% 6.46/4.72 ((~(v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71)))))) | v112(constB71) | ((~v113(constB71)) | (~v126(constB71)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10473,plain,
% 6.46/4.72 (v112(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10472, 10471, 10439])).
% 6.46/4.72 tff(10474,plain,
% 6.46/4.72 ((v111(constB71) | v112(constB71)) | (~v112(constB71))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10475,plain,
% 6.46/4.72 (v111(constB71) | v112(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10474, 10473])).
% 6.46/4.72 tff(10476,plain,
% 6.46/4.72 ((~(v108(constB71) <=> (v111(constB71) | v112(constB71)))) | v108(constB71) | (~(v111(constB71) | v112(constB71)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10477,plain,
% 6.46/4.72 (v108(constB71)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10476, 10475, 10437])).
% 6.46/4.72 tff(10478,plain,
% 6.46/4.72 ((~(v110(constB72) <=> v108(constB71))) | v110(constB72) | (~v108(constB71))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10479,plain,
% 6.46/4.72 (v110(constB72)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10478, 10477, 10435])).
% 6.46/4.72 tff(10480,plain,
% 6.46/4.72 ((~((~v101(constB72)) | (~v110(constB72)))) | (~v101(constB72)) | (~v110(constB72))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10481,plain,
% 6.46/4.72 (~((~v101(constB72)) | (~v110(constB72)))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10480, 10479, 10431])).
% 6.46/4.72 tff(10482,plain,
% 6.46/4.72 ((~(v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72)))))) | v100(constB72) | ((~v101(constB72)) | (~v110(constB72)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10483,plain,
% 6.46/4.72 (v100(constB72)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10482, 10481, 10403])).
% 6.46/4.72 tff(10484,plain,
% 6.46/4.72 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB72)) | (~(((~v90(constB72, 2)) <=> v129(constB72, 2)) | ((~v90(constB72, 1)) <=> v129(constB72, 1)) | ((~v90(constB72, 0)) <=> v129(constB72, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB72)) | (~(((~v90(constB72, 2)) <=> v129(constB72, 2)) | ((~v90(constB72, 1)) <=> v129(constB72, 1)) | ((~v90(constB72, 0)) <=> v129(constB72, 0)))))),
% 6.46/4.72 inference(rewrite,[status(thm)],[])).
% 6.46/4.72 tff(10485,plain,
% 6.46/4.72 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB72)) | (~(((~v90(constB72, 2)) <=> v129(constB72, 2)) | ((~v90(constB72, 1)) <=> v129(constB72, 1)) | ((~v90(constB72, 0)) <=> v129(constB72, 0)))))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10486,plain,
% 6.46/4.72 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB72)) | (~(((~v90(constB72, 2)) <=> v129(constB72, 2)) | ((~v90(constB72, 1)) <=> v129(constB72, 1)) | ((~v90(constB72, 0)) <=> v129(constB72, 0))))),
% 6.46/4.72 inference(modus_ponens,[status(thm)],[10485, 10484])).
% 6.46/4.72 tff(10487,plain,
% 6.46/4.72 ((~v100(constB72)) | (~(((~v90(constB72, 2)) <=> v129(constB72, 2)) | ((~v90(constB72, 1)) <=> v129(constB72, 1)) | ((~v90(constB72, 0)) <=> v129(constB72, 0))))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10486, 4794])).
% 6.46/4.72 tff(10488,plain,
% 6.46/4.72 (~(((~v90(constB72, 2)) <=> v129(constB72, 2)) | ((~v90(constB72, 1)) <=> v129(constB72, 1)) | ((~v90(constB72, 0)) <=> v129(constB72, 0)))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10487, 10483])).
% 6.46/4.72 tff(10489,plain,
% 6.46/4.72 ((((~v90(constB72, 2)) <=> v129(constB72, 2)) | ((~v90(constB72, 1)) <=> v129(constB72, 1)) | ((~v90(constB72, 0)) <=> v129(constB72, 0))) | (~((~v90(constB72, 2)) <=> v129(constB72, 2)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10490,plain,
% 6.46/4.72 (~((~v90(constB72, 2)) <=> v129(constB72, 2))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10489, 10488])).
% 6.46/4.72 tff(10491,plain,
% 6.46/4.72 (((~v90(constB72, 2)) <=> v129(constB72, 2)) | v90(constB72, 2) | (~v129(constB72, 2))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10492,plain,
% 6.46/4.72 (v90(constB72, 2)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10491, 10490, 10399])).
% 6.46/4.72 tff(10493,plain,
% 6.46/4.72 (((~v90(constB73, 2)) <=> v90(constB72, 2)) | v90(constB73, 2) | (~v90(constB72, 2))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10494,plain,
% 6.46/4.72 (v90(constB73, 2)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10493, 10492, 2234])).
% 6.46/4.72 tff(10495,plain,
% 6.46/4.72 ((((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0))) | (~((~v90(constB73, 0)) <=> v90(constB72, 0)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10496,plain,
% 6.46/4.72 (~((~v90(constB73, 0)) <=> v90(constB72, 0))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10495, 2232])).
% 6.46/4.72 tff(10497,plain,
% 6.46/4.72 ((((~v129(constB72, 2)) <=> v127(constB71, 2)) | ((~v129(constB72, 1)) <=> v127(constB71, 1)) | ((~v129(constB72, 0)) <=> v127(constB71, 0))) | (~((~v129(constB72, 0)) <=> v127(constB71, 0)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10498,plain,
% 6.46/4.72 (~((~v129(constB72, 0)) <=> v127(constB71, 0))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10497, 2241])).
% 6.46/4.72 tff(10499,plain,
% 6.46/4.72 ((((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0))) | (~((~v127(constB71, 0)) <=> v130(constB71, 0)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10500,plain,
% 6.46/4.72 (~((~v127(constB71, 0)) <=> v130(constB71, 0))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10499, 2255])).
% 6.46/4.72 tff(10501,plain,
% 6.46/4.72 ((v130(constB71, 1) | v130(constB71, 0) | (~v130(constB71, 2))) | (~v130(constB71, 0))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10502,plain,
% 6.46/4.72 (~v130(constB71, 0)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10501, 10393])).
% 6.46/4.72 tff(10503,plain,
% 6.46/4.72 (((~v127(constB71, 0)) <=> v130(constB71, 0)) | (~v127(constB71, 0)) | v130(constB71, 0)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10504,plain,
% 6.46/4.72 (~v127(constB71, 0)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10503, 10502, 10500])).
% 6.46/4.72 tff(10505,plain,
% 6.46/4.72 (((~v129(constB72, 0)) <=> v127(constB71, 0)) | (~v129(constB72, 0)) | v127(constB71, 0)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10506,plain,
% 6.46/4.72 (~v129(constB72, 0)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10505, 10504, 10498])).
% 6.46/4.72 tff(10507,plain,
% 6.46/4.72 ((((~v90(constB72, 2)) <=> v129(constB72, 2)) | ((~v90(constB72, 1)) <=> v129(constB72, 1)) | ((~v90(constB72, 0)) <=> v129(constB72, 0))) | (~((~v90(constB72, 0)) <=> v129(constB72, 0)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10508,plain,
% 6.46/4.72 (~((~v90(constB72, 0)) <=> v129(constB72, 0))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10507, 10488])).
% 6.46/4.72 tff(10509,plain,
% 6.46/4.72 (((~v90(constB72, 0)) <=> v129(constB72, 0)) | (~v90(constB72, 0)) | v129(constB72, 0)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10510,plain,
% 6.46/4.72 (~v90(constB72, 0)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10509, 10508, 10506])).
% 6.46/4.72 tff(10511,plain,
% 6.46/4.72 (((~v90(constB73, 0)) <=> v90(constB72, 0)) | (~v90(constB73, 0)) | v90(constB72, 0)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10512,plain,
% 6.46/4.72 (~v90(constB73, 0)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10511, 10510, 10496])).
% 6.46/4.72 tff(10513,plain,
% 6.46/4.72 ((((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0))) | (~((~v90(constB73, 1)) <=> v90(constB72, 1)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10514,plain,
% 6.46/4.72 (~((~v90(constB73, 1)) <=> v90(constB72, 1))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10513, 2232])).
% 6.46/4.72 tff(10515,plain,
% 6.46/4.72 ((((~v129(constB72, 2)) <=> v127(constB71, 2)) | ((~v129(constB72, 1)) <=> v127(constB71, 1)) | ((~v129(constB72, 0)) <=> v127(constB71, 0))) | (~((~v129(constB72, 1)) <=> v127(constB71, 1)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10516,plain,
% 6.46/4.72 (~((~v129(constB72, 1)) <=> v127(constB71, 1))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10515, 2241])).
% 6.46/4.72 tff(10517,plain,
% 6.46/4.72 ((((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0))) | (~((~v127(constB71, 1)) <=> v130(constB71, 1)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10518,plain,
% 6.46/4.72 (~((~v127(constB71, 1)) <=> v130(constB71, 1))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10517, 2255])).
% 6.46/4.72 tff(10519,plain,
% 6.46/4.72 ((v130(constB71, 1) | v130(constB71, 0) | (~v130(constB71, 2))) | (~v130(constB71, 1))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10520,plain,
% 6.46/4.72 (~v130(constB71, 1)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10519, 10393])).
% 6.46/4.72 tff(10521,plain,
% 6.46/4.72 (((~v127(constB71, 1)) <=> v130(constB71, 1)) | (~v127(constB71, 1)) | v130(constB71, 1)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10522,plain,
% 6.46/4.72 (~v127(constB71, 1)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10521, 10520, 10518])).
% 6.46/4.72 tff(10523,plain,
% 6.46/4.72 (((~v129(constB72, 1)) <=> v127(constB71, 1)) | (~v129(constB72, 1)) | v127(constB71, 1)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10524,plain,
% 6.46/4.72 (~v129(constB72, 1)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10523, 10522, 10516])).
% 6.46/4.72 tff(10525,plain,
% 6.46/4.72 ((((~v90(constB72, 2)) <=> v129(constB72, 2)) | ((~v90(constB72, 1)) <=> v129(constB72, 1)) | ((~v90(constB72, 0)) <=> v129(constB72, 0))) | (~((~v90(constB72, 1)) <=> v129(constB72, 1)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10526,plain,
% 6.46/4.72 (~((~v90(constB72, 1)) <=> v129(constB72, 1))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10525, 10488])).
% 6.46/4.72 tff(10527,plain,
% 6.46/4.72 (((~v90(constB72, 1)) <=> v129(constB72, 1)) | (~v90(constB72, 1)) | v129(constB72, 1)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10528,plain,
% 6.46/4.72 (~v90(constB72, 1)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10527, 10526, 10524])).
% 6.46/4.72 tff(10529,plain,
% 6.46/4.72 (((~v90(constB73, 1)) <=> v90(constB72, 1)) | (~v90(constB73, 1)) | v90(constB72, 1)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10530,plain,
% 6.46/4.72 (~v90(constB73, 1)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10529, 10528, 10514])).
% 6.46/4.72 tff(10531,plain,
% 6.46/4.72 ((~(v90(constB73, 1) | v90(constB73, 0) | (~v90(constB73, 2)))) | v90(constB73, 1) | v90(constB73, 0) | (~v90(constB73, 2))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10532,plain,
% 6.46/4.72 (~(v90(constB73, 1) | v90(constB73, 0) | (~v90(constB73, 2)))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10531, 10530, 10512, 10494])).
% 6.46/4.72 tff(10533,plain,
% 6.46/4.72 ((~(v123(constB73) <=> (~(v90(constB73, 1) | v90(constB73, 0) | (~v90(constB73, 2)))))) | v123(constB73) | (v90(constB73, 1) | v90(constB73, 0) | (~v90(constB73, 2)))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10534,plain,
% 6.46/4.72 (v123(constB73)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10533, 10532, 2198])).
% 6.46/4.72 tff(10535,plain,
% 6.46/4.72 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB73)) | (~(v130(constB73, 0) | (~v130(constB73, 2)) | (~v130(constB73, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB73)) | (~(v130(constB73, 0) | (~v130(constB73, 2)) | (~v130(constB73, 1)))))),
% 6.46/4.72 inference(rewrite,[status(thm)],[])).
% 6.46/4.72 tff(10536,plain,
% 6.46/4.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB73)) | (~(v130(constB73, 0) | (~v130(constB73, 2)) | (~v130(constB73, 1)))))),
% 6.46/4.72 inference(quant_inst,[status(thm)],[])).
% 6.46/4.72 tff(10537,plain,
% 6.46/4.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB73)) | (~(v130(constB73, 0) | (~v130(constB73, 2)) | (~v130(constB73, 1))))),
% 6.46/4.72 inference(modus_ponens,[status(thm)],[10536, 10535])).
% 6.46/4.72 tff(10538,plain,
% 6.46/4.72 ((~v123(constB73)) | (~(v130(constB73, 0) | (~v130(constB73, 2)) | (~v130(constB73, 1))))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10537, 4861])).
% 6.46/4.72 tff(10539,plain,
% 6.46/4.72 (~(v130(constB73, 0) | (~v130(constB73, 2)) | (~v130(constB73, 1)))),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10538, 10534])).
% 6.46/4.72 tff(10540,plain,
% 6.46/4.72 ((v130(constB73, 0) | (~v130(constB73, 2)) | (~v130(constB73, 1))) | (~v130(constB73, 0))),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10541,plain,
% 6.46/4.72 (~v130(constB73, 0)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10540, 10539])).
% 6.46/4.72 tff(10542,plain,
% 6.46/4.72 (((~v127(constB73, 0)) <=> v130(constB73, 0)) | (~v127(constB73, 0)) | v130(constB73, 0)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10543,plain,
% 6.46/4.72 (~v127(constB73, 0)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10542, 10541, 2191])).
% 6.46/4.72 tff(10544,plain,
% 6.46/4.72 (((~v129(constB74, 0)) <=> v127(constB73, 0)) | (~v129(constB74, 0)) | v127(constB73, 0)),
% 6.46/4.72 inference(tautology,[status(thm)],[])).
% 6.46/4.72 tff(10545,plain,
% 6.46/4.72 (~v129(constB74, 0)),
% 6.46/4.72 inference(unit_resolution,[status(thm)],[10544, 10543, 2177])).
% 6.46/4.72 tff(10546,plain,
% 6.46/4.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))))),
% 6.46/4.72 inference(rewrite,[status(thm)],[])).
% 6.46/4.73 tff(10547,plain,
% 6.46/4.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))))),
% 6.46/4.73 inference(quant_inst,[status(thm)],[])).
% 6.46/4.73 tff(10548,plain,
% 6.46/4.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74)))))),
% 6.46/4.73 inference(modus_ponens,[status(thm)],[10547, 10546])).
% 6.46/4.73 tff(10549,plain,
% 6.46/4.73 (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10548, 2171, 273])).
% 6.46/4.73 tff(10550,plain,
% 6.46/4.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 6.46/4.73 inference(rewrite,[status(thm)],[])).
% 6.46/4.73 tff(10551,plain,
% 6.46/4.73 (((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74)))))) <=> ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 6.46/4.73 inference(rewrite,[status(thm)],[])).
% 6.46/4.73 tff(10552,plain,
% 6.46/4.73 (((~![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) <=> (~((~v1(constB74)) | (~v102(constB74)))))))),
% 6.46/4.73 inference(monotonicity,[status(thm)],[10551])).
% 6.46/4.73 tff(10553,plain,
% 6.46/4.73 (((~![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) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 6.46/4.73 inference(transitivity,[status(thm)],[10552, 10550])).
% 6.46/4.73 tff(10554,plain,
% 6.46/4.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74))))))),
% 6.46/4.73 inference(quant_inst,[status(thm)],[])).
% 6.46/4.73 tff(10555,plain,
% 6.46/4.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))),
% 6.46/4.73 inference(modus_ponens,[status(thm)],[10554, 10553])).
% 6.46/4.73 tff(10556,plain,
% 6.46/4.73 (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10555, 2171, 293])).
% 6.46/4.73 tff(10557,plain,
% 6.46/4.73 (((~![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)))),
% 6.46/4.73 inference(rewrite,[status(thm)],[])).
% 6.46/4.73 tff(10558,plain,
% 6.46/4.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74)))),
% 6.46/4.73 inference(quant_inst,[status(thm)],[])).
% 6.46/4.73 tff(10559,plain,
% 6.46/4.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74))),
% 6.46/4.73 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 6.46/4.73 tff(10560,plain,
% 6.46/4.73 ((~v102(constB74)) <=> v104(constB74)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10559, 2171, 4609])).
% 6.46/4.73 tff(10561,plain,
% 6.46/4.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73)))),
% 6.46/4.73 inference(rewrite,[status(thm)],[])).
% 6.46/4.73 tff(10562,plain,
% 6.46/4.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73)))),
% 6.46/4.73 inference(quant_inst,[status(thm)],[])).
% 6.46/4.73 tff(10563,plain,
% 6.46/4.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73))),
% 6.46/4.73 inference(modus_ponens,[status(thm)],[10562, 10561])).
% 6.46/4.73 tff(10564,plain,
% 6.46/4.73 (v104(constB74) <=> v1(constB73)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10563, 2171, 4623])).
% 6.46/4.73 tff(10565,plain,
% 6.46/4.73 ((~(v104(constB74) <=> v1(constB73))) | (~v104(constB74)) | v1(constB73)),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10566,plain,
% 6.46/4.73 ((~(v104(constB74) <=> v1(constB73))) | (~v104(constB74))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10565, 2215])).
% 6.46/4.73 tff(10567,plain,
% 6.46/4.73 (~v104(constB74)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10566, 10564])).
% 6.46/4.73 tff(10568,plain,
% 6.46/4.73 ((~((~v102(constB74)) <=> v104(constB74))) | v102(constB74) | v104(constB74)),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10569,plain,
% 6.46/4.73 (v102(constB74)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10568, 10567, 10560])).
% 6.46/4.73 tff(10570,plain,
% 6.46/4.73 (v1(constB74) <=> v1(constB74)),
% 6.46/4.73 inference(rewrite,[status(thm)],[])).
% 6.46/4.73 tff(10571,axiom,(v1(constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_74')).
% 6.46/4.73 tff(10572,plain,
% 6.46/4.73 (v1(constB74)),
% 6.46/4.73 inference(modus_ponens,[status(thm)],[10571, 10570])).
% 6.46/4.73 tff(10573,plain,
% 6.46/4.73 ((~((~v1(constB74)) | (~v102(constB74)))) | (~v1(constB74)) | (~v102(constB74))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10574,plain,
% 6.46/4.73 ((~((~v1(constB74)) | (~v102(constB74)))) | (~v102(constB74))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10573, 10572])).
% 6.46/4.73 tff(10575,plain,
% 6.46/4.73 (~((~v1(constB74)) | (~v102(constB74)))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10574, 10569])).
% 6.46/4.73 tff(10576,plain,
% 6.46/4.73 ((~(v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))) | v101(constB74) | ((~v1(constB74)) | (~v102(constB74)))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10577,plain,
% 6.46/4.73 (v101(constB74)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10576, 10575, 10556])).
% 6.46/4.73 tff(10578,plain,
% 6.46/4.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73)))),
% 6.46/4.73 inference(rewrite,[status(thm)],[])).
% 6.46/4.73 tff(10579,plain,
% 6.46/4.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73)))),
% 6.46/4.73 inference(quant_inst,[status(thm)],[])).
% 6.46/4.73 tff(10580,plain,
% 6.46/4.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73))),
% 6.46/4.73 inference(modus_ponens,[status(thm)],[10579, 10578])).
% 6.46/4.73 tff(10581,plain,
% 6.46/4.73 (v110(constB74) <=> v108(constB73)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10580, 2171, 4650])).
% 6.46/4.73 tff(10582,plain,
% 6.46/4.73 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB73) <=> (v111(constB73) | v112(constB73)))),
% 6.46/4.73 inference(quant_inst,[status(thm)],[])).
% 6.46/4.73 tff(10583,plain,
% 6.46/4.73 (v108(constB73) <=> (v111(constB73) | v112(constB73))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10582, 4661])).
% 6.46/4.73 tff(10584,plain,
% 6.46/4.73 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73)))))),
% 6.46/4.73 inference(quant_inst,[status(thm)],[])).
% 6.46/4.73 tff(10585,plain,
% 6.46/4.73 (v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73))))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10584, 4673])).
% 6.46/4.73 tff(10586,plain,
% 6.46/4.73 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB73) <=> (v114(constB73) | v125(constB73)))),
% 6.46/4.73 inference(quant_inst,[status(thm)],[])).
% 6.46/4.73 tff(10587,plain,
% 6.46/4.73 (v113(constB73) <=> (v114(constB73) | v125(constB73))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10586, 4682])).
% 6.46/4.73 tff(10588,plain,
% 6.46/4.73 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB73) <=> (v115(constB73) | v124(constB73)))),
% 6.46/4.73 inference(quant_inst,[status(thm)],[])).
% 6.46/4.73 tff(10589,plain,
% 6.46/4.73 (v114(constB73) <=> (v115(constB73) | v124(constB73))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10588, 4691])).
% 6.46/4.73 tff(10590,plain,
% 6.46/4.73 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB73) <=> (v116(constB73) | v123(constB73)))),
% 6.46/4.73 inference(quant_inst,[status(thm)],[])).
% 6.46/4.73 tff(10591,plain,
% 6.46/4.73 (v115(constB73) <=> (v116(constB73) | v123(constB73))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10590, 4700])).
% 6.46/4.73 tff(10592,plain,
% 6.46/4.73 ((v116(constB73) | v123(constB73)) | (~v123(constB73))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10593,plain,
% 6.46/4.73 (v116(constB73) | v123(constB73)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10592, 10534])).
% 6.46/4.73 tff(10594,plain,
% 6.46/4.73 ((~(v115(constB73) <=> (v116(constB73) | v123(constB73)))) | v115(constB73) | (~(v116(constB73) | v123(constB73)))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10595,plain,
% 6.46/4.73 (v115(constB73)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10594, 10593, 10591])).
% 6.46/4.73 tff(10596,plain,
% 6.46/4.73 ((v115(constB73) | v124(constB73)) | (~v115(constB73))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10597,plain,
% 6.46/4.73 (v115(constB73) | v124(constB73)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10596, 10595])).
% 6.46/4.73 tff(10598,plain,
% 6.46/4.73 ((~(v114(constB73) <=> (v115(constB73) | v124(constB73)))) | v114(constB73) | (~(v115(constB73) | v124(constB73)))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10599,plain,
% 6.46/4.73 (v114(constB73)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10598, 10597, 10589])).
% 6.46/4.73 tff(10600,plain,
% 6.46/4.73 ((v114(constB73) | v125(constB73)) | (~v114(constB73))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10601,plain,
% 6.46/4.73 (v114(constB73) | v125(constB73)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10600, 10599])).
% 6.46/4.73 tff(10602,plain,
% 6.46/4.73 ((~(v113(constB73) <=> (v114(constB73) | v125(constB73)))) | v113(constB73) | (~(v114(constB73) | v125(constB73)))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10603,plain,
% 6.46/4.73 (v113(constB73)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10602, 10601, 10587])).
% 6.46/4.73 tff(10604,plain,
% 6.46/4.73 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB73)) <=> v111(constB73))),
% 6.46/4.73 inference(quant_inst,[status(thm)],[])).
% 6.46/4.73 tff(10605,plain,
% 6.46/4.73 ((~v126(constB73)) <=> v111(constB73)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10604, 4761])).
% 6.46/4.73 tff(10606,plain,
% 6.46/4.73 ((~((~v126(constB73)) <=> v111(constB73))) | v126(constB73) | v111(constB73)),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10607,plain,
% 6.46/4.73 ((~((~v126(constB73)) <=> v111(constB73))) | v126(constB73)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10606, 2184])).
% 6.46/4.73 tff(10608,plain,
% 6.46/4.73 (v126(constB73)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10607, 10605])).
% 6.46/4.73 tff(10609,plain,
% 6.46/4.73 ((~((~v113(constB73)) | (~v126(constB73)))) | (~v113(constB73)) | (~v126(constB73))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10610,plain,
% 6.46/4.73 ((~((~v113(constB73)) | (~v126(constB73)))) | (~v113(constB73))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10609, 10608])).
% 6.46/4.73 tff(10611,plain,
% 6.46/4.73 (~((~v113(constB73)) | (~v126(constB73)))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10610, 10603])).
% 6.46/4.73 tff(10612,plain,
% 6.46/4.73 ((~(v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73)))))) | v112(constB73) | ((~v113(constB73)) | (~v126(constB73)))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10613,plain,
% 6.46/4.73 (v112(constB73)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10612, 10611, 10585])).
% 6.46/4.73 tff(10614,plain,
% 6.46/4.73 ((v111(constB73) | v112(constB73)) | (~v112(constB73))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10615,plain,
% 6.46/4.73 (v111(constB73) | v112(constB73)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10614, 10613])).
% 6.46/4.73 tff(10616,plain,
% 6.46/4.73 ((~(v108(constB73) <=> (v111(constB73) | v112(constB73)))) | v108(constB73) | (~(v111(constB73) | v112(constB73)))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10617,plain,
% 6.46/4.73 (v108(constB73)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10616, 10615, 10583])).
% 6.46/4.73 tff(10618,plain,
% 6.46/4.73 ((~(v110(constB74) <=> v108(constB73))) | v110(constB74) | (~v108(constB73))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10619,plain,
% 6.46/4.73 (v110(constB74)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10618, 10617, 10581])).
% 6.46/4.73 tff(10620,plain,
% 6.46/4.73 ((~((~v101(constB74)) | (~v110(constB74)))) | (~v101(constB74)) | (~v110(constB74))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10621,plain,
% 6.46/4.73 (~((~v101(constB74)) | (~v110(constB74)))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10620, 10619, 10577])).
% 6.46/4.73 tff(10622,plain,
% 6.46/4.73 ((~(v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74)))))) | v100(constB74) | ((~v101(constB74)) | (~v110(constB74)))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10623,plain,
% 6.46/4.73 (v100(constB74)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10622, 10621, 10549])).
% 6.46/4.73 tff(10624,plain,
% 6.46/4.73 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB74)) | (~(((~v90(constB74, 0)) <=> v129(constB74, 0)) | ((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB74)) | (~(((~v90(constB74, 0)) <=> v129(constB74, 0)) | ((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1)))))),
% 6.46/4.73 inference(rewrite,[status(thm)],[])).
% 6.46/4.73 tff(10625,plain,
% 6.46/4.73 (((~v100(constB74)) | (~(((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1)) | ((~v90(constB74, 0)) <=> v129(constB74, 0))))) <=> ((~v100(constB74)) | (~(((~v90(constB74, 0)) <=> v129(constB74, 0)) | ((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1)))))),
% 6.46/4.73 inference(rewrite,[status(thm)],[])).
% 6.46/4.73 tff(10626,plain,
% 6.46/4.73 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB74)) | (~(((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1)) | ((~v90(constB74, 0)) <=> v129(constB74, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB74)) | (~(((~v90(constB74, 0)) <=> v129(constB74, 0)) | ((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1))))))),
% 6.46/4.73 inference(monotonicity,[status(thm)],[10625])).
% 6.46/4.73 tff(10627,plain,
% 6.46/4.73 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB74)) | (~(((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1)) | ((~v90(constB74, 0)) <=> v129(constB74, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB74)) | (~(((~v90(constB74, 0)) <=> v129(constB74, 0)) | ((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1)))))),
% 6.46/4.73 inference(transitivity,[status(thm)],[10626, 10624])).
% 6.46/4.73 tff(10628,plain,
% 6.46/4.73 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB74)) | (~(((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1)) | ((~v90(constB74, 0)) <=> v129(constB74, 0)))))),
% 6.46/4.73 inference(quant_inst,[status(thm)],[])).
% 6.46/4.73 tff(10629,plain,
% 6.46/4.73 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB74)) | (~(((~v90(constB74, 0)) <=> v129(constB74, 0)) | ((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1))))),
% 6.46/4.73 inference(modus_ponens,[status(thm)],[10628, 10627])).
% 6.46/4.73 tff(10630,plain,
% 6.46/4.73 ((~v100(constB74)) | (~(((~v90(constB74, 0)) <=> v129(constB74, 0)) | ((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1))))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10629, 4794])).
% 6.46/4.73 tff(10631,plain,
% 6.46/4.73 (~(((~v90(constB74, 0)) <=> v129(constB74, 0)) | ((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1)))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10630, 10623])).
% 6.46/4.73 tff(10632,plain,
% 6.46/4.73 ((((~v90(constB74, 0)) <=> v129(constB74, 0)) | ((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1))) | (~((~v90(constB74, 0)) <=> v129(constB74, 0)))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10633,plain,
% 6.46/4.73 (~((~v90(constB74, 0)) <=> v129(constB74, 0))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10632, 10631])).
% 6.46/4.73 tff(10634,plain,
% 6.46/4.73 (((~v90(constB74, 0)) <=> v129(constB74, 0)) | (~v90(constB74, 0)) | v129(constB74, 0)),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10635,plain,
% 6.46/4.73 (~v90(constB74, 0)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10634, 10633, 10545])).
% 6.46/4.73 tff(10636,plain,
% 6.46/4.73 (((~v90(constB75, 0)) <=> v90(constB74, 0)) | (~v90(constB75, 0)) | v90(constB74, 0)),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10637,plain,
% 6.46/4.73 (~v90(constB75, 0)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10636, 10635, 2168])).
% 6.46/4.73 tff(10638,plain,
% 6.46/4.73 ((v90(constB75, 1) | v90(constB75, 2) | (~v90(constB75, 0))) | v90(constB75, 0)),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10639,plain,
% 6.46/4.73 (v90(constB75, 1) | v90(constB75, 2) | (~v90(constB75, 0))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10638, 10637])).
% 6.46/4.73 tff(10640,plain,
% 6.46/4.73 ((~(v120(constB75) <=> (~(v90(constB75, 1) | v90(constB75, 2) | (~v90(constB75, 0)))))) | (~v120(constB75)) | (~(v90(constB75, 1) | v90(constB75, 2) | (~v90(constB75, 0))))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10641,plain,
% 6.46/4.73 (~v120(constB75)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10640, 10639, 2132])).
% 6.46/4.73 tff(10642,plain,
% 6.46/4.73 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB75) <=> (~(v90(constB75, 1) | (~v90(constB75, 2)) | (~v90(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB75) <=> (~(v90(constB75, 1) | (~v90(constB75, 2)) | (~v90(constB75, 0))))))),
% 6.46/4.73 inference(rewrite,[status(thm)],[])).
% 6.46/4.73 tff(10643,plain,
% 6.46/4.73 ((v124(constB75) <=> (~(v90(constB75, 1) | (~v90(constB75, 0)) | (~v90(constB75, 2))))) <=> (v124(constB75) <=> (~(v90(constB75, 1) | (~v90(constB75, 2)) | (~v90(constB75, 0)))))),
% 6.46/4.73 inference(rewrite,[status(thm)],[])).
% 6.46/4.73 tff(10644,plain,
% 6.46/4.73 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB75) <=> (~(v90(constB75, 1) | (~v90(constB75, 0)) | (~v90(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB75) <=> (~(v90(constB75, 1) | (~v90(constB75, 2)) | (~v90(constB75, 0))))))),
% 6.46/4.73 inference(monotonicity,[status(thm)],[10643])).
% 6.46/4.73 tff(10645,plain,
% 6.46/4.73 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB75) <=> (~(v90(constB75, 1) | (~v90(constB75, 0)) | (~v90(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB75) <=> (~(v90(constB75, 1) | (~v90(constB75, 2)) | (~v90(constB75, 0))))))),
% 6.46/4.73 inference(transitivity,[status(thm)],[10644, 10642])).
% 6.46/4.73 tff(10646,plain,
% 6.46/4.73 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB75) <=> (~(v90(constB75, 1) | (~v90(constB75, 0)) | (~v90(constB75, 2)))))),
% 6.46/4.73 inference(quant_inst,[status(thm)],[])).
% 6.46/4.73 tff(10647,plain,
% 6.46/4.73 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB75) <=> (~(v90(constB75, 1) | (~v90(constB75, 2)) | (~v90(constB75, 0)))))),
% 6.46/4.73 inference(modus_ponens,[status(thm)],[10646, 10645])).
% 6.46/4.73 tff(10648,plain,
% 6.46/4.73 (v124(constB75) <=> (~(v90(constB75, 1) | (~v90(constB75, 2)) | (~v90(constB75, 0))))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10647, 4978])).
% 6.46/4.73 tff(10649,plain,
% 6.46/4.73 ((v90(constB75, 1) | (~v90(constB75, 2)) | (~v90(constB75, 0))) | v90(constB75, 0)),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10650,plain,
% 6.46/4.73 (v90(constB75, 1) | (~v90(constB75, 2)) | (~v90(constB75, 0))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10649, 10637])).
% 6.46/4.73 tff(10651,plain,
% 6.46/4.73 ((~(v124(constB75) <=> (~(v90(constB75, 1) | (~v90(constB75, 2)) | (~v90(constB75, 0)))))) | (~v124(constB75)) | (~(v90(constB75, 1) | (~v90(constB75, 2)) | (~v90(constB75, 0))))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10652,plain,
% 6.46/4.73 (~v124(constB75)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10651, 10650, 10648])).
% 6.46/4.73 tff(10653,plain,
% 6.46/4.73 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB75) <=> (~(v90(constB75, 1) | v90(constB75, 0) | (~v90(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB75) <=> (~(v90(constB75, 1) | v90(constB75, 0) | (~v90(constB75, 2))))))),
% 6.46/4.73 inference(rewrite,[status(thm)],[])).
% 6.46/4.73 tff(10654,plain,
% 6.46/4.73 ((v123(constB75) <=> (~(v90(constB75, 0) | v90(constB75, 1) | (~v90(constB75, 2))))) <=> (v123(constB75) <=> (~(v90(constB75, 1) | v90(constB75, 0) | (~v90(constB75, 2)))))),
% 6.46/4.73 inference(rewrite,[status(thm)],[])).
% 6.46/4.73 tff(10655,plain,
% 6.46/4.73 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB75) <=> (~(v90(constB75, 0) | v90(constB75, 1) | (~v90(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB75) <=> (~(v90(constB75, 1) | v90(constB75, 0) | (~v90(constB75, 2))))))),
% 6.46/4.73 inference(monotonicity,[status(thm)],[10654])).
% 6.46/4.73 tff(10656,plain,
% 6.46/4.73 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB75) <=> (~(v90(constB75, 0) | v90(constB75, 1) | (~v90(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB75) <=> (~(v90(constB75, 1) | v90(constB75, 0) | (~v90(constB75, 2))))))),
% 6.46/4.73 inference(transitivity,[status(thm)],[10655, 10653])).
% 6.46/4.73 tff(10657,plain,
% 6.46/4.73 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB75) <=> (~(v90(constB75, 0) | v90(constB75, 1) | (~v90(constB75, 2)))))),
% 6.46/4.73 inference(quant_inst,[status(thm)],[])).
% 6.46/4.73 tff(10658,plain,
% 6.46/4.73 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB75) <=> (~(v90(constB75, 1) | v90(constB75, 0) | (~v90(constB75, 2)))))),
% 6.46/4.73 inference(modus_ponens,[status(thm)],[10657, 10656])).
% 6.46/4.73 tff(10659,plain,
% 6.46/4.73 (v123(constB75) <=> (~(v90(constB75, 1) | v90(constB75, 0) | (~v90(constB75, 2))))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10658, 565])).
% 6.46/4.73 tff(10660,plain,
% 6.46/4.73 ((((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0))) | (~((~v90(constB75, 1)) <=> v90(constB74, 1)))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10661,plain,
% 6.46/4.73 (~((~v90(constB75, 1)) <=> v90(constB74, 1))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10660, 2166])).
% 6.46/4.73 tff(10662,plain,
% 6.46/4.73 ((((~v129(constB74, 2)) <=> v127(constB73, 2)) | ((~v129(constB74, 1)) <=> v127(constB73, 1)) | ((~v129(constB74, 0)) <=> v127(constB73, 0))) | (~((~v129(constB74, 1)) <=> v127(constB73, 1)))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10663,plain,
% 6.46/4.73 (~((~v129(constB74, 1)) <=> v127(constB73, 1))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10662, 2175])).
% 6.46/4.73 tff(10664,plain,
% 6.46/4.73 ((((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0))) | (~((~v127(constB73, 1)) <=> v130(constB73, 1)))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10665,plain,
% 6.46/4.73 (~((~v127(constB73, 1)) <=> v130(constB73, 1))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10664, 2189])).
% 6.46/4.73 tff(10666,plain,
% 6.46/4.73 ((v130(constB73, 0) | (~v130(constB73, 2)) | (~v130(constB73, 1))) | v130(constB73, 1)),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10667,plain,
% 6.46/4.73 (v130(constB73, 1)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10666, 10539])).
% 6.46/4.73 tff(10668,plain,
% 6.46/4.73 (((~v127(constB73, 1)) <=> v130(constB73, 1)) | v127(constB73, 1) | (~v130(constB73, 1))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10669,plain,
% 6.46/4.73 (v127(constB73, 1)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10668, 10667, 10665])).
% 6.46/4.73 tff(10670,plain,
% 6.46/4.73 (((~v129(constB74, 1)) <=> v127(constB73, 1)) | v129(constB74, 1) | (~v127(constB73, 1))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10671,plain,
% 6.46/4.73 (v129(constB74, 1)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10670, 10669, 10663])).
% 6.46/4.73 tff(10672,plain,
% 6.46/4.73 ((((~v90(constB74, 0)) <=> v129(constB74, 0)) | ((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1))) | (~((~v90(constB74, 1)) <=> v129(constB74, 1)))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10673,plain,
% 6.46/4.73 (~((~v90(constB74, 1)) <=> v129(constB74, 1))),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10672, 10631])).
% 6.46/4.73 tff(10674,plain,
% 6.46/4.73 (((~v90(constB74, 1)) <=> v129(constB74, 1)) | v90(constB74, 1) | (~v129(constB74, 1))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10675,plain,
% 6.46/4.73 (v90(constB74, 1)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10674, 10673, 10671])).
% 6.46/4.73 tff(10676,plain,
% 6.46/4.73 (((~v90(constB75, 1)) <=> v90(constB74, 1)) | v90(constB75, 1) | (~v90(constB74, 1))),
% 6.46/4.73 inference(tautology,[status(thm)],[])).
% 6.46/4.73 tff(10677,plain,
% 6.46/4.73 (v90(constB75, 1)),
% 6.46/4.73 inference(unit_resolution,[status(thm)],[10676, 10675, 10661])).
% 6.46/4.73 tff(10678,plain,
% 6.46/4.73 ((v90(constB75, 1) | v90(constB75, 0) | (~v90(constB75, 2))) | (~v90(constB75, 1))),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10679,plain,
% 6.55/4.73 (v90(constB75, 1) | v90(constB75, 0) | (~v90(constB75, 2))),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10678, 10677])).
% 6.55/4.73 tff(10680,plain,
% 6.55/4.73 ((~(v123(constB75) <=> (~(v90(constB75, 1) | v90(constB75, 0) | (~v90(constB75, 2)))))) | (~v123(constB75)) | (~(v90(constB75, 1) | v90(constB75, 0) | (~v90(constB75, 2))))),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10681,plain,
% 6.55/4.73 (~v123(constB75)),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10680, 10679, 10659])).
% 6.55/4.73 tff(10682,plain,
% 6.55/4.73 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB75) <=> (~(v90(constB75, 2) | (~v90(constB75, 1)) | (~v90(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB75) <=> (~(v90(constB75, 2) | (~v90(constB75, 1)) | (~v90(constB75, 0))))))),
% 6.55/4.73 inference(rewrite,[status(thm)],[])).
% 6.55/4.73 tff(10683,plain,
% 6.55/4.73 ((v122(constB75) <=> (~(v90(constB75, 2) | (~v90(constB75, 0)) | (~v90(constB75, 1))))) <=> (v122(constB75) <=> (~(v90(constB75, 2) | (~v90(constB75, 1)) | (~v90(constB75, 0)))))),
% 6.55/4.73 inference(rewrite,[status(thm)],[])).
% 6.55/4.73 tff(10684,plain,
% 6.55/4.73 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB75) <=> (~(v90(constB75, 2) | (~v90(constB75, 0)) | (~v90(constB75, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB75) <=> (~(v90(constB75, 2) | (~v90(constB75, 1)) | (~v90(constB75, 0))))))),
% 6.55/4.73 inference(monotonicity,[status(thm)],[10683])).
% 6.55/4.73 tff(10685,plain,
% 6.55/4.73 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB75) <=> (~(v90(constB75, 2) | (~v90(constB75, 0)) | (~v90(constB75, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB75) <=> (~(v90(constB75, 2) | (~v90(constB75, 1)) | (~v90(constB75, 0))))))),
% 6.55/4.73 inference(transitivity,[status(thm)],[10684, 10682])).
% 6.55/4.73 tff(10686,plain,
% 6.55/4.73 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB75) <=> (~(v90(constB75, 2) | (~v90(constB75, 0)) | (~v90(constB75, 1)))))),
% 6.55/4.73 inference(quant_inst,[status(thm)],[])).
% 6.55/4.73 tff(10687,plain,
% 6.55/4.73 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB75) <=> (~(v90(constB75, 2) | (~v90(constB75, 1)) | (~v90(constB75, 0)))))),
% 6.55/4.73 inference(modus_ponens,[status(thm)],[10686, 10685])).
% 6.55/4.73 tff(10688,plain,
% 6.55/4.73 (v122(constB75) <=> (~(v90(constB75, 2) | (~v90(constB75, 1)) | (~v90(constB75, 0))))),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10687, 644])).
% 6.55/4.73 tff(10689,plain,
% 6.55/4.73 ((v90(constB75, 2) | (~v90(constB75, 1)) | (~v90(constB75, 0))) | v90(constB75, 0)),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10690,plain,
% 6.55/4.73 (v90(constB75, 2) | (~v90(constB75, 1)) | (~v90(constB75, 0))),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10689, 10637])).
% 6.55/4.73 tff(10691,plain,
% 6.55/4.73 ((~(v122(constB75) <=> (~(v90(constB75, 2) | (~v90(constB75, 1)) | (~v90(constB75, 0)))))) | (~v122(constB75)) | (~(v90(constB75, 2) | (~v90(constB75, 1)) | (~v90(constB75, 0))))),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10692,plain,
% 6.55/4.73 (~v122(constB75)),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10691, 10690, 10688])).
% 6.55/4.73 tff(10693,plain,
% 6.55/4.73 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB75) <=> (~(v90(constB75, 2) | v90(constB75, 0) | (~v90(constB75, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB75) <=> (~(v90(constB75, 2) | v90(constB75, 0) | (~v90(constB75, 1))))))),
% 6.55/4.73 inference(rewrite,[status(thm)],[])).
% 6.55/4.73 tff(10694,plain,
% 6.55/4.73 ((v121(constB75) <=> (~(v90(constB75, 0) | v90(constB75, 2) | (~v90(constB75, 1))))) <=> (v121(constB75) <=> (~(v90(constB75, 2) | v90(constB75, 0) | (~v90(constB75, 1)))))),
% 6.55/4.73 inference(rewrite,[status(thm)],[])).
% 6.55/4.73 tff(10695,plain,
% 6.55/4.73 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB75) <=> (~(v90(constB75, 0) | v90(constB75, 2) | (~v90(constB75, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB75) <=> (~(v90(constB75, 2) | v90(constB75, 0) | (~v90(constB75, 1))))))),
% 6.55/4.73 inference(monotonicity,[status(thm)],[10694])).
% 6.55/4.73 tff(10696,plain,
% 6.55/4.73 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB75) <=> (~(v90(constB75, 0) | v90(constB75, 2) | (~v90(constB75, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB75) <=> (~(v90(constB75, 2) | v90(constB75, 0) | (~v90(constB75, 1))))))),
% 6.55/4.73 inference(transitivity,[status(thm)],[10695, 10693])).
% 6.55/4.73 tff(10697,plain,
% 6.55/4.73 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB75) <=> (~(v90(constB75, 0) | v90(constB75, 2) | (~v90(constB75, 1)))))),
% 6.55/4.73 inference(quant_inst,[status(thm)],[])).
% 6.55/4.73 tff(10698,plain,
% 6.55/4.73 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB75) <=> (~(v90(constB75, 2) | v90(constB75, 0) | (~v90(constB75, 1)))))),
% 6.55/4.73 inference(modus_ponens,[status(thm)],[10697, 10696])).
% 6.55/4.73 tff(10699,plain,
% 6.55/4.73 (v121(constB75) <=> (~(v90(constB75, 2) | v90(constB75, 0) | (~v90(constB75, 1))))),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10698, 723])).
% 6.55/4.73 tff(10700,plain,
% 6.55/4.73 ((((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0))) | (~((~v90(constB75, 2)) <=> v90(constB74, 2)))),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10701,plain,
% 6.55/4.73 (~((~v90(constB75, 2)) <=> v90(constB74, 2))),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10700, 2166])).
% 6.55/4.73 tff(10702,plain,
% 6.55/4.73 ((((~v129(constB74, 2)) <=> v127(constB73, 2)) | ((~v129(constB74, 1)) <=> v127(constB73, 1)) | ((~v129(constB74, 0)) <=> v127(constB73, 0))) | (~((~v129(constB74, 2)) <=> v127(constB73, 2)))),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10703,plain,
% 6.55/4.73 (~((~v129(constB74, 2)) <=> v127(constB73, 2))),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10702, 2175])).
% 6.55/4.73 tff(10704,plain,
% 6.55/4.73 ((((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0))) | (~((~v127(constB73, 2)) <=> v130(constB73, 2)))),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10705,plain,
% 6.55/4.73 (~((~v127(constB73, 2)) <=> v130(constB73, 2))),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10704, 2189])).
% 6.55/4.73 tff(10706,plain,
% 6.55/4.73 ((v130(constB73, 0) | (~v130(constB73, 2)) | (~v130(constB73, 1))) | v130(constB73, 2)),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10707,plain,
% 6.55/4.73 (v130(constB73, 2)),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10706, 10539])).
% 6.55/4.73 tff(10708,plain,
% 6.55/4.73 (((~v127(constB73, 2)) <=> v130(constB73, 2)) | v127(constB73, 2) | (~v130(constB73, 2))),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10709,plain,
% 6.55/4.73 (v127(constB73, 2)),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10708, 10707, 10705])).
% 6.55/4.73 tff(10710,plain,
% 6.55/4.73 (((~v129(constB74, 2)) <=> v127(constB73, 2)) | v129(constB74, 2) | (~v127(constB73, 2))),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10711,plain,
% 6.55/4.73 (v129(constB74, 2)),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10710, 10709, 10703])).
% 6.55/4.73 tff(10712,plain,
% 6.55/4.73 ((((~v90(constB74, 0)) <=> v129(constB74, 0)) | ((~v90(constB74, 2)) <=> v129(constB74, 2)) | ((~v90(constB74, 1)) <=> v129(constB74, 1))) | (~((~v90(constB74, 2)) <=> v129(constB74, 2)))),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10713,plain,
% 6.55/4.73 (~((~v90(constB74, 2)) <=> v129(constB74, 2))),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10712, 10631])).
% 6.55/4.73 tff(10714,plain,
% 6.55/4.73 (((~v90(constB74, 2)) <=> v129(constB74, 2)) | v90(constB74, 2) | (~v129(constB74, 2))),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10715,plain,
% 6.55/4.73 (v90(constB74, 2)),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10714, 10713, 10711])).
% 6.55/4.73 tff(10716,plain,
% 6.55/4.73 (((~v90(constB75, 2)) <=> v90(constB74, 2)) | v90(constB75, 2) | (~v90(constB74, 2))),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10717,plain,
% 6.55/4.73 (v90(constB75, 2)),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10716, 10715, 10701])).
% 6.55/4.73 tff(10718,plain,
% 6.55/4.73 ((v90(constB75, 2) | v90(constB75, 0) | (~v90(constB75, 1))) | (~v90(constB75, 2))),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10719,plain,
% 6.55/4.73 (v90(constB75, 2) | v90(constB75, 0) | (~v90(constB75, 1))),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10718, 10717])).
% 6.55/4.73 tff(10720,plain,
% 6.55/4.73 ((~(v121(constB75) <=> (~(v90(constB75, 2) | v90(constB75, 0) | (~v90(constB75, 1)))))) | (~v121(constB75)) | (~(v90(constB75, 2) | v90(constB75, 0) | (~v90(constB75, 1))))),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10721,plain,
% 6.55/4.73 (~v121(constB75)),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10720, 10719, 10699])).
% 6.55/4.73 tff(10722,plain,
% 6.55/4.73 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB75) <=> (~(v90(constB75, 0) | v90(constB75, 1) | v90(constB75, 2))))),
% 6.55/4.73 inference(quant_inst,[status(thm)],[])).
% 6.55/4.73 tff(10723,plain,
% 6.55/4.73 (v119(constB75) <=> (~(v90(constB75, 0) | v90(constB75, 1) | v90(constB75, 2)))),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10722, 491])).
% 6.55/4.73 tff(10724,plain,
% 6.55/4.73 ((v90(constB75, 0) | v90(constB75, 1) | v90(constB75, 2)) | (~v90(constB75, 2))),
% 6.55/4.73 inference(tautology,[status(thm)],[])).
% 6.55/4.73 tff(10725,plain,
% 6.55/4.73 (v90(constB75, 0) | v90(constB75, 1) | v90(constB75, 2)),
% 6.55/4.73 inference(unit_resolution,[status(thm)],[10724, 10717])).
% 6.55/4.73 tff(10726,plain,
% 6.55/4.73 ((~(v119(constB75) <=> (~(v90(constB75, 0) | v90(constB75, 1) | v90(constB75, 2))))) | (~v119(constB75)) | (~(v90(constB75, 0) | v90(constB75, 1) | v90(constB75, 2)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10727,plain,
% 6.55/4.74 (~v119(constB75)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10726, 10725, 10723])).
% 6.55/4.74 tff(10728,plain,
% 6.55/4.74 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0)))))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10729,plain,
% 6.55/4.74 ((v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | (~(v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0))))) <=> (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0)))))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10730,plain,
% 6.55/4.74 ((~(v130(constB75, 1) | v130(constB75, 2) | (~v130(constB75, 0)))) <=> (~(v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0))))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10731,plain,
% 6.55/4.74 ((v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | (~(v130(constB75, 1) | v130(constB75, 2) | (~v130(constB75, 0))))) <=> (v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | (~(v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0)))))),
% 6.55/4.74 inference(monotonicity,[status(thm)],[10730])).
% 6.55/4.74 tff(10732,plain,
% 6.55/4.74 ((v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | (~(v130(constB75, 1) | v130(constB75, 2) | (~v130(constB75, 0))))) <=> (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0)))))),
% 6.55/4.74 inference(transitivity,[status(thm)],[10731, 10729])).
% 6.55/4.74 tff(10733,plain,
% 6.55/4.74 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | (~(v130(constB75, 1) | v130(constB75, 2) | (~v130(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0))))))),
% 6.55/4.74 inference(monotonicity,[status(thm)],[10732])).
% 6.55/4.74 tff(10734,plain,
% 6.55/4.74 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | (~(v130(constB75, 1) | v130(constB75, 2) | (~v130(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0)))))),
% 6.55/4.74 inference(transitivity,[status(thm)],[10733, 10728])).
% 6.55/4.74 tff(10735,plain,
% 6.55/4.74 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | (~(v130(constB75, 1) | v130(constB75, 2) | (~v130(constB75, 0)))))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10736,plain,
% 6.55/4.74 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0))))),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10735, 10734])).
% 6.55/4.74 tff(10737,plain,
% 6.55/4.74 (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0))))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10736, 5059])).
% 6.55/4.74 tff(10738,plain,
% 6.55/4.74 (~(v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0)))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10737, 10727, 10721, 10692, 10681, 10652, 10641])).
% 6.55/4.74 tff(10739,plain,
% 6.55/4.74 ((v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0))) | (~v130(constB75, 2))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10740,plain,
% 6.55/4.74 (~v130(constB75, 2)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10739, 10738])).
% 6.55/4.74 tff(10741,plain,
% 6.55/4.74 (((~v127(constB75, 2)) <=> v130(constB75, 2)) | (~v127(constB75, 2)) | v130(constB75, 2)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10742,plain,
% 6.55/4.74 (~v127(constB75, 2)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10741, 10740, 2130])).
% 6.55/4.74 tff(10743,plain,
% 6.55/4.74 (((~v129(constB76, 2)) <=> v127(constB75, 2)) | (~v129(constB76, 2)) | v127(constB75, 2)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10744,plain,
% 6.55/4.74 (~v129(constB76, 2)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10743, 10742, 2116])).
% 6.55/4.74 tff(10745,plain,
% 6.55/4.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10746,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10747,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76)))))),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10746, 10745])).
% 6.55/4.74 tff(10748,plain,
% 6.55/4.74 (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10747, 2110, 273])).
% 6.55/4.74 tff(10749,plain,
% 6.55/4.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10750,plain,
% 6.55/4.74 (((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76)))))) <=> ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10751,plain,
% 6.55/4.74 (((~![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) <=> (~((~v1(constB76)) | (~v102(constB76)))))))),
% 6.55/4.74 inference(monotonicity,[status(thm)],[10750])).
% 6.55/4.74 tff(10752,plain,
% 6.55/4.74 (((~![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) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 6.55/4.74 inference(transitivity,[status(thm)],[10751, 10749])).
% 6.55/4.74 tff(10753,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76))))))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10754,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10753, 10752])).
% 6.55/4.74 tff(10755,plain,
% 6.55/4.74 (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10754, 2110, 293])).
% 6.55/4.74 tff(10756,plain,
% 6.55/4.74 (((~![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)))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10757,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76)))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10758,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76))),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10757, 10756])).
% 6.55/4.74 tff(10759,plain,
% 6.55/4.74 ((~v102(constB76)) <=> v104(constB76)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10758, 2110, 4609])).
% 6.55/4.74 tff(10760,plain,
% 6.55/4.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75)))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10761,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75)))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10762,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75))),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10761, 10760])).
% 6.55/4.74 tff(10763,plain,
% 6.55/4.74 (v104(constB76) <=> v1(constB75)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10762, 2110, 4623])).
% 6.55/4.74 tff(10764,plain,
% 6.55/4.74 ((~(v104(constB76) <=> v1(constB75))) | (~v104(constB76)) | v1(constB75)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10765,plain,
% 6.55/4.74 ((~(v104(constB76) <=> v1(constB75))) | (~v104(constB76))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10764, 2149])).
% 6.55/4.74 tff(10766,plain,
% 6.55/4.74 (~v104(constB76)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10765, 10763])).
% 6.55/4.74 tff(10767,plain,
% 6.55/4.74 ((~((~v102(constB76)) <=> v104(constB76))) | v102(constB76) | v104(constB76)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10768,plain,
% 6.55/4.74 (v102(constB76)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10767, 10766, 10759])).
% 6.55/4.74 tff(10769,plain,
% 6.55/4.74 (v1(constB76) <=> v1(constB76)),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10770,axiom,(v1(constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_76')).
% 6.55/4.74 tff(10771,plain,
% 6.55/4.74 (v1(constB76)),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10770, 10769])).
% 6.55/4.74 tff(10772,plain,
% 6.55/4.74 ((~((~v1(constB76)) | (~v102(constB76)))) | (~v1(constB76)) | (~v102(constB76))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10773,plain,
% 6.55/4.74 ((~((~v1(constB76)) | (~v102(constB76)))) | (~v102(constB76))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10772, 10771])).
% 6.55/4.74 tff(10774,plain,
% 6.55/4.74 (~((~v1(constB76)) | (~v102(constB76)))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10773, 10768])).
% 6.55/4.74 tff(10775,plain,
% 6.55/4.74 ((~(v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))) | v101(constB76) | ((~v1(constB76)) | (~v102(constB76)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10776,plain,
% 6.55/4.74 (v101(constB76)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10775, 10774, 10755])).
% 6.55/4.74 tff(10777,plain,
% 6.55/4.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75)))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10778,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75)))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10779,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75))),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10778, 10777])).
% 6.55/4.74 tff(10780,plain,
% 6.55/4.74 (v110(constB76) <=> v108(constB75)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10779, 2110, 4650])).
% 6.55/4.74 tff(10781,plain,
% 6.55/4.74 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB75) <=> (v111(constB75) | v112(constB75)))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10782,plain,
% 6.55/4.74 (v108(constB75) <=> (v111(constB75) | v112(constB75))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10781, 4661])).
% 6.55/4.74 tff(10783,plain,
% 6.55/4.74 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75)))))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10784,plain,
% 6.55/4.74 (v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75))))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10783, 4673])).
% 6.55/4.74 tff(10785,plain,
% 6.55/4.74 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB75) <=> (v114(constB75) | v125(constB75)))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10786,plain,
% 6.55/4.74 (v113(constB75) <=> (v114(constB75) | v125(constB75))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10785, 4682])).
% 6.55/4.74 tff(10787,plain,
% 6.55/4.74 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB75) <=> (~(v90(constB75, 0) | (~v90(constB75, 1)) | (~v90(constB75, 2)))))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10788,plain,
% 6.55/4.74 (v125(constB75) <=> (~(v90(constB75, 0) | (~v90(constB75, 1)) | (~v90(constB75, 2))))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10787, 5131])).
% 6.55/4.74 tff(10789,plain,
% 6.55/4.74 ((~(v90(constB75, 0) | (~v90(constB75, 1)) | (~v90(constB75, 2)))) | v90(constB75, 0) | (~v90(constB75, 1)) | (~v90(constB75, 2))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10790,plain,
% 6.55/4.74 (~(v90(constB75, 0) | (~v90(constB75, 1)) | (~v90(constB75, 2)))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10789, 10677, 10637, 10717])).
% 6.55/4.74 tff(10791,plain,
% 6.55/4.74 ((~(v125(constB75) <=> (~(v90(constB75, 0) | (~v90(constB75, 1)) | (~v90(constB75, 2)))))) | v125(constB75) | (v90(constB75, 0) | (~v90(constB75, 1)) | (~v90(constB75, 2)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10792,plain,
% 6.55/4.74 (v125(constB75)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10791, 10790, 10788])).
% 6.55/4.74 tff(10793,plain,
% 6.55/4.74 ((v114(constB75) | v125(constB75)) | (~v125(constB75))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10794,plain,
% 6.55/4.74 (v114(constB75) | v125(constB75)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10793, 10792])).
% 6.55/4.74 tff(10795,plain,
% 6.55/4.74 ((~(v113(constB75) <=> (v114(constB75) | v125(constB75)))) | v113(constB75) | (~(v114(constB75) | v125(constB75)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10796,plain,
% 6.55/4.74 (v113(constB75)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10795, 10794, 10786])).
% 6.55/4.74 tff(10797,plain,
% 6.55/4.74 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB75)) <=> v111(constB75))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10798,plain,
% 6.55/4.74 ((~v126(constB75)) <=> v111(constB75)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10797, 4761])).
% 6.55/4.74 tff(10799,plain,
% 6.55/4.74 ((~((~v126(constB75)) <=> v111(constB75))) | v126(constB75) | v111(constB75)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10800,plain,
% 6.55/4.74 ((~((~v126(constB75)) <=> v111(constB75))) | v126(constB75)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10799, 2123])).
% 6.55/4.74 tff(10801,plain,
% 6.55/4.74 (v126(constB75)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10800, 10798])).
% 6.55/4.74 tff(10802,plain,
% 6.55/4.74 ((~((~v113(constB75)) | (~v126(constB75)))) | (~v113(constB75)) | (~v126(constB75))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10803,plain,
% 6.55/4.74 ((~((~v113(constB75)) | (~v126(constB75)))) | (~v113(constB75))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10802, 10801])).
% 6.55/4.74 tff(10804,plain,
% 6.55/4.74 (~((~v113(constB75)) | (~v126(constB75)))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10803, 10796])).
% 6.55/4.74 tff(10805,plain,
% 6.55/4.74 ((~(v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75)))))) | v112(constB75) | ((~v113(constB75)) | (~v126(constB75)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10806,plain,
% 6.55/4.74 (v112(constB75)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10805, 10804, 10784])).
% 6.55/4.74 tff(10807,plain,
% 6.55/4.74 ((v111(constB75) | v112(constB75)) | (~v112(constB75))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10808,plain,
% 6.55/4.74 (v111(constB75) | v112(constB75)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10807, 10806])).
% 6.55/4.74 tff(10809,plain,
% 6.55/4.74 ((~(v108(constB75) <=> (v111(constB75) | v112(constB75)))) | v108(constB75) | (~(v111(constB75) | v112(constB75)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10810,plain,
% 6.55/4.74 (v108(constB75)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10809, 10808, 10782])).
% 6.55/4.74 tff(10811,plain,
% 6.55/4.74 ((~(v110(constB76) <=> v108(constB75))) | v110(constB76) | (~v108(constB75))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10812,plain,
% 6.55/4.74 (v110(constB76)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10811, 10810, 10780])).
% 6.55/4.74 tff(10813,plain,
% 6.55/4.74 ((~((~v101(constB76)) | (~v110(constB76)))) | (~v101(constB76)) | (~v110(constB76))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10814,plain,
% 6.55/4.74 (~((~v101(constB76)) | (~v110(constB76)))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10813, 10812, 10776])).
% 6.55/4.74 tff(10815,plain,
% 6.55/4.74 ((~(v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76)))))) | v100(constB76) | ((~v101(constB76)) | (~v110(constB76)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10816,plain,
% 6.55/4.74 (v100(constB76)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10815, 10814, 10748])).
% 6.55/4.74 tff(10817,plain,
% 6.55/4.74 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB76)) | (~(((~v90(constB76, 2)) <=> v129(constB76, 2)) | ((~v90(constB76, 1)) <=> v129(constB76, 1)) | ((~v90(constB76, 0)) <=> v129(constB76, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB76)) | (~(((~v90(constB76, 2)) <=> v129(constB76, 2)) | ((~v90(constB76, 1)) <=> v129(constB76, 1)) | ((~v90(constB76, 0)) <=> v129(constB76, 0)))))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10818,plain,
% 6.55/4.74 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB76)) | (~(((~v90(constB76, 2)) <=> v129(constB76, 2)) | ((~v90(constB76, 1)) <=> v129(constB76, 1)) | ((~v90(constB76, 0)) <=> v129(constB76, 0)))))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10819,plain,
% 6.55/4.74 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB76)) | (~(((~v90(constB76, 2)) <=> v129(constB76, 2)) | ((~v90(constB76, 1)) <=> v129(constB76, 1)) | ((~v90(constB76, 0)) <=> v129(constB76, 0))))),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10818, 10817])).
% 6.55/4.74 tff(10820,plain,
% 6.55/4.74 ((~v100(constB76)) | (~(((~v90(constB76, 2)) <=> v129(constB76, 2)) | ((~v90(constB76, 1)) <=> v129(constB76, 1)) | ((~v90(constB76, 0)) <=> v129(constB76, 0))))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10819, 4794])).
% 6.55/4.74 tff(10821,plain,
% 6.55/4.74 (~(((~v90(constB76, 2)) <=> v129(constB76, 2)) | ((~v90(constB76, 1)) <=> v129(constB76, 1)) | ((~v90(constB76, 0)) <=> v129(constB76, 0)))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10820, 10816])).
% 6.55/4.74 tff(10822,plain,
% 6.55/4.74 ((((~v90(constB76, 2)) <=> v129(constB76, 2)) | ((~v90(constB76, 1)) <=> v129(constB76, 1)) | ((~v90(constB76, 0)) <=> v129(constB76, 0))) | (~((~v90(constB76, 2)) <=> v129(constB76, 2)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10823,plain,
% 6.55/4.74 (~((~v90(constB76, 2)) <=> v129(constB76, 2))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10822, 10821])).
% 6.55/4.74 tff(10824,plain,
% 6.55/4.74 (((~v90(constB76, 2)) <=> v129(constB76, 2)) | (~v90(constB76, 2)) | v129(constB76, 2)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10825,plain,
% 6.55/4.74 (~v90(constB76, 2)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10824, 10823, 10744])).
% 6.55/4.74 tff(10826,plain,
% 6.55/4.74 (((~v90(constB77, 2)) <=> v90(constB76, 2)) | (~v90(constB77, 2)) | v90(constB76, 2)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10827,plain,
% 6.55/4.74 (~v90(constB77, 2)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10826, 10825, 2107])).
% 6.55/4.74 tff(10828,plain,
% 6.55/4.74 ((((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0))) | (~((~v90(constB77, 0)) <=> v90(constB76, 0)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10829,plain,
% 6.55/4.74 (~((~v90(constB77, 0)) <=> v90(constB76, 0))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10828, 2105])).
% 6.55/4.74 tff(10830,plain,
% 6.55/4.74 ((((~v129(constB76, 2)) <=> v127(constB75, 2)) | ((~v129(constB76, 1)) <=> v127(constB75, 1)) | ((~v129(constB76, 0)) <=> v127(constB75, 0))) | (~((~v129(constB76, 0)) <=> v127(constB75, 0)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10831,plain,
% 6.55/4.74 (~((~v129(constB76, 0)) <=> v127(constB75, 0))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10830, 2114])).
% 6.55/4.74 tff(10832,plain,
% 6.55/4.74 ((((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0))) | (~((~v127(constB75, 0)) <=> v130(constB75, 0)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10833,plain,
% 6.55/4.74 (~((~v127(constB75, 0)) <=> v130(constB75, 0))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10832, 2128])).
% 6.55/4.74 tff(10834,plain,
% 6.55/4.74 ((v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0))) | v130(constB75, 0)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10835,plain,
% 6.55/4.74 (v130(constB75, 0)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10834, 10738])).
% 6.55/4.74 tff(10836,plain,
% 6.55/4.74 (((~v127(constB75, 0)) <=> v130(constB75, 0)) | v127(constB75, 0) | (~v130(constB75, 0))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10837,plain,
% 6.55/4.74 (v127(constB75, 0)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10836, 10835, 10833])).
% 6.55/4.74 tff(10838,plain,
% 6.55/4.74 (((~v129(constB76, 0)) <=> v127(constB75, 0)) | v129(constB76, 0) | (~v127(constB75, 0))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10839,plain,
% 6.55/4.74 (v129(constB76, 0)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10838, 10837, 10831])).
% 6.55/4.74 tff(10840,plain,
% 6.55/4.74 ((((~v90(constB76, 2)) <=> v129(constB76, 2)) | ((~v90(constB76, 1)) <=> v129(constB76, 1)) | ((~v90(constB76, 0)) <=> v129(constB76, 0))) | (~((~v90(constB76, 0)) <=> v129(constB76, 0)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10841,plain,
% 6.55/4.74 (~((~v90(constB76, 0)) <=> v129(constB76, 0))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10840, 10821])).
% 6.55/4.74 tff(10842,plain,
% 6.55/4.74 (((~v90(constB76, 0)) <=> v129(constB76, 0)) | v90(constB76, 0) | (~v129(constB76, 0))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10843,plain,
% 6.55/4.74 (v90(constB76, 0)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10842, 10841, 10839])).
% 6.55/4.74 tff(10844,plain,
% 6.55/4.74 (((~v90(constB77, 0)) <=> v90(constB76, 0)) | v90(constB77, 0) | (~v90(constB76, 0))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10845,plain,
% 6.55/4.74 (v90(constB77, 0)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10844, 10843, 10829])).
% 6.55/4.74 tff(10846,plain,
% 6.55/4.74 ((((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0))) | (~((~v90(constB77, 1)) <=> v90(constB76, 1)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10847,plain,
% 6.55/4.74 (~((~v90(constB77, 1)) <=> v90(constB76, 1))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10846, 2105])).
% 6.55/4.74 tff(10848,plain,
% 6.55/4.74 ((((~v129(constB76, 2)) <=> v127(constB75, 2)) | ((~v129(constB76, 1)) <=> v127(constB75, 1)) | ((~v129(constB76, 0)) <=> v127(constB75, 0))) | (~((~v129(constB76, 1)) <=> v127(constB75, 1)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10849,plain,
% 6.55/4.74 (~((~v129(constB76, 1)) <=> v127(constB75, 1))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10848, 2114])).
% 6.55/4.74 tff(10850,plain,
% 6.55/4.74 ((((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0))) | (~((~v127(constB75, 1)) <=> v130(constB75, 1)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10851,plain,
% 6.55/4.74 (~((~v127(constB75, 1)) <=> v130(constB75, 1))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10850, 2128])).
% 6.55/4.74 tff(10852,plain,
% 6.55/4.74 ((v130(constB75, 2) | v130(constB75, 1) | (~v130(constB75, 0))) | (~v130(constB75, 1))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10853,plain,
% 6.55/4.74 (~v130(constB75, 1)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10852, 10738])).
% 6.55/4.74 tff(10854,plain,
% 6.55/4.74 (((~v127(constB75, 1)) <=> v130(constB75, 1)) | (~v127(constB75, 1)) | v130(constB75, 1)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10855,plain,
% 6.55/4.74 (~v127(constB75, 1)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10854, 10853, 10851])).
% 6.55/4.74 tff(10856,plain,
% 6.55/4.74 (((~v129(constB76, 1)) <=> v127(constB75, 1)) | (~v129(constB76, 1)) | v127(constB75, 1)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10857,plain,
% 6.55/4.74 (~v129(constB76, 1)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10856, 10855, 10849])).
% 6.55/4.74 tff(10858,plain,
% 6.55/4.74 ((((~v90(constB76, 2)) <=> v129(constB76, 2)) | ((~v90(constB76, 1)) <=> v129(constB76, 1)) | ((~v90(constB76, 0)) <=> v129(constB76, 0))) | (~((~v90(constB76, 1)) <=> v129(constB76, 1)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10859,plain,
% 6.55/4.74 (~((~v90(constB76, 1)) <=> v129(constB76, 1))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10858, 10821])).
% 6.55/4.74 tff(10860,plain,
% 6.55/4.74 (((~v90(constB76, 1)) <=> v129(constB76, 1)) | (~v90(constB76, 1)) | v129(constB76, 1)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10861,plain,
% 6.55/4.74 (~v90(constB76, 1)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10860, 10859, 10857])).
% 6.55/4.74 tff(10862,plain,
% 6.55/4.74 (((~v90(constB77, 1)) <=> v90(constB76, 1)) | (~v90(constB77, 1)) | v90(constB76, 1)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10863,plain,
% 6.55/4.74 (~v90(constB77, 1)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10862, 10861, 10847])).
% 6.55/4.74 tff(10864,plain,
% 6.55/4.74 ((~(v90(constB77, 1) | v90(constB77, 2) | (~v90(constB77, 0)))) | v90(constB77, 1) | v90(constB77, 2) | (~v90(constB77, 0))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10865,plain,
% 6.55/4.74 (~(v90(constB77, 1) | v90(constB77, 2) | (~v90(constB77, 0)))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10864, 10863, 10845, 10827])).
% 6.55/4.74 tff(10866,plain,
% 6.55/4.74 ((~(v120(constB77) <=> (~(v90(constB77, 1) | v90(constB77, 2) | (~v90(constB77, 0)))))) | v120(constB77) | (v90(constB77, 1) | v90(constB77, 2) | (~v90(constB77, 0)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10867,plain,
% 6.55/4.74 (v120(constB77)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10866, 10865, 2071])).
% 6.55/4.74 tff(10868,plain,
% 6.55/4.74 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB77)) | (~(v130(constB77, 2) | v130(constB77, 0) | (~v130(constB77, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB77)) | (~(v130(constB77, 2) | v130(constB77, 0) | (~v130(constB77, 1)))))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10869,plain,
% 6.55/4.74 (((~v120(constB77)) | (~(v130(constB77, 0) | v130(constB77, 2) | (~v130(constB77, 1))))) <=> ((~v120(constB77)) | (~(v130(constB77, 2) | v130(constB77, 0) | (~v130(constB77, 1)))))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10870,plain,
% 6.55/4.74 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB77)) | (~(v130(constB77, 0) | v130(constB77, 2) | (~v130(constB77, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB77)) | (~(v130(constB77, 2) | v130(constB77, 0) | (~v130(constB77, 1))))))),
% 6.55/4.74 inference(monotonicity,[status(thm)],[10869])).
% 6.55/4.74 tff(10871,plain,
% 6.55/4.74 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB77)) | (~(v130(constB77, 0) | v130(constB77, 2) | (~v130(constB77, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB77)) | (~(v130(constB77, 2) | v130(constB77, 0) | (~v130(constB77, 1)))))),
% 6.55/4.74 inference(transitivity,[status(thm)],[10870, 10868])).
% 6.55/4.74 tff(10872,plain,
% 6.55/4.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB77)) | (~(v130(constB77, 0) | v130(constB77, 2) | (~v130(constB77, 1)))))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10873,plain,
% 6.55/4.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB77)) | (~(v130(constB77, 2) | v130(constB77, 0) | (~v130(constB77, 1))))),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10872, 10871])).
% 6.55/4.74 tff(10874,plain,
% 6.55/4.74 ((~v120(constB77)) | (~(v130(constB77, 2) | v130(constB77, 0) | (~v130(constB77, 1))))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10873, 5246])).
% 6.55/4.74 tff(10875,plain,
% 6.55/4.74 (~(v130(constB77, 2) | v130(constB77, 0) | (~v130(constB77, 1)))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10874, 10867])).
% 6.55/4.74 tff(10876,plain,
% 6.55/4.74 ((v130(constB77, 2) | v130(constB77, 0) | (~v130(constB77, 1))) | (~v130(constB77, 2))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10877,plain,
% 6.55/4.74 (~v130(constB77, 2)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10876, 10875])).
% 6.55/4.74 tff(10878,plain,
% 6.55/4.74 (((~v127(constB77, 2)) <=> v130(constB77, 2)) | (~v127(constB77, 2)) | v130(constB77, 2)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10879,plain,
% 6.55/4.74 (~v127(constB77, 2)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10878, 10877, 2069])).
% 6.55/4.74 tff(10880,plain,
% 6.55/4.74 (((~v129(constB78, 2)) <=> v127(constB77, 2)) | (~v129(constB78, 2)) | v127(constB77, 2)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10881,plain,
% 6.55/4.74 (~v129(constB78, 2)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10880, 10879, 2055])).
% 6.55/4.74 tff(10882,plain,
% 6.55/4.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10883,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10884,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78)))))),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10883, 10882])).
% 6.55/4.74 tff(10885,plain,
% 6.55/4.74 (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10884, 2049, 273])).
% 6.55/4.74 tff(10886,plain,
% 6.55/4.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10887,plain,
% 6.55/4.74 (((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78)))))) <=> ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10888,plain,
% 6.55/4.74 (((~![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) <=> (~((~v1(constB78)) | (~v102(constB78)))))))),
% 6.55/4.74 inference(monotonicity,[status(thm)],[10887])).
% 6.55/4.74 tff(10889,plain,
% 6.55/4.74 (((~![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) <=> (~((~v1(constB78)) | (~v102(constB78))))))),
% 6.55/4.74 inference(transitivity,[status(thm)],[10888, 10886])).
% 6.55/4.74 tff(10890,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78))))))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10891,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78)))))),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10890, 10889])).
% 6.55/4.74 tff(10892,plain,
% 6.55/4.74 (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10891, 2049, 293])).
% 6.55/4.74 tff(10893,plain,
% 6.55/4.74 (((~![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)))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10894,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78)))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10895,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78))),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10894, 10893])).
% 6.55/4.74 tff(10896,plain,
% 6.55/4.74 ((~v102(constB78)) <=> v104(constB78)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10895, 2049, 4609])).
% 6.55/4.74 tff(10897,plain,
% 6.55/4.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77)))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10898,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77)))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10899,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77))),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10898, 10897])).
% 6.55/4.74 tff(10900,plain,
% 6.55/4.74 (v104(constB78) <=> v1(constB77)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10899, 2049, 4623])).
% 6.55/4.74 tff(10901,plain,
% 6.55/4.74 ((~(v104(constB78) <=> v1(constB77))) | (~v104(constB78)) | v1(constB77)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10902,plain,
% 6.55/4.74 ((~(v104(constB78) <=> v1(constB77))) | (~v104(constB78))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10901, 2088])).
% 6.55/4.74 tff(10903,plain,
% 6.55/4.74 (~v104(constB78)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10902, 10900])).
% 6.55/4.74 tff(10904,plain,
% 6.55/4.74 ((~((~v102(constB78)) <=> v104(constB78))) | v102(constB78) | v104(constB78)),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10905,plain,
% 6.55/4.74 (v102(constB78)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10904, 10903, 10896])).
% 6.55/4.74 tff(10906,plain,
% 6.55/4.74 (v1(constB78) <=> v1(constB78)),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10907,axiom,(v1(constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_78')).
% 6.55/4.74 tff(10908,plain,
% 6.55/4.74 (v1(constB78)),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10907, 10906])).
% 6.55/4.74 tff(10909,plain,
% 6.55/4.74 ((~((~v1(constB78)) | (~v102(constB78)))) | (~v1(constB78)) | (~v102(constB78))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10910,plain,
% 6.55/4.74 ((~((~v1(constB78)) | (~v102(constB78)))) | (~v102(constB78))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10909, 10908])).
% 6.55/4.74 tff(10911,plain,
% 6.55/4.74 (~((~v1(constB78)) | (~v102(constB78)))),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10910, 10905])).
% 6.55/4.74 tff(10912,plain,
% 6.55/4.74 ((~(v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78)))))) | v101(constB78) | ((~v1(constB78)) | (~v102(constB78)))),
% 6.55/4.74 inference(tautology,[status(thm)],[])).
% 6.55/4.74 tff(10913,plain,
% 6.55/4.74 (v101(constB78)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10912, 10911, 10892])).
% 6.55/4.74 tff(10914,plain,
% 6.55/4.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77)))),
% 6.55/4.74 inference(rewrite,[status(thm)],[])).
% 6.55/4.74 tff(10915,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77)))),
% 6.55/4.74 inference(quant_inst,[status(thm)],[])).
% 6.55/4.74 tff(10916,plain,
% 6.55/4.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77))),
% 6.55/4.74 inference(modus_ponens,[status(thm)],[10915, 10914])).
% 6.55/4.74 tff(10917,plain,
% 6.55/4.74 (v110(constB78) <=> v108(constB77)),
% 6.55/4.74 inference(unit_resolution,[status(thm)],[10916, 2049, 4650])).
% 6.55/4.74 tff(10918,plain,
% 6.55/4.74 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB77) <=> (v111(constB77) | v112(constB77)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(10919,plain,
% 6.55/4.75 (v108(constB77) <=> (v111(constB77) | v112(constB77))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10918, 4661])).
% 6.55/4.75 tff(10920,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77)))))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(10921,plain,
% 6.55/4.75 (v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77))))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10920, 4673])).
% 6.55/4.75 tff(10922,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB77) <=> (v114(constB77) | v125(constB77)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(10923,plain,
% 6.55/4.75 (v113(constB77) <=> (v114(constB77) | v125(constB77))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10922, 4682])).
% 6.55/4.75 tff(10924,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB77) <=> (v115(constB77) | v124(constB77)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(10925,plain,
% 6.55/4.75 (v114(constB77) <=> (v115(constB77) | v124(constB77))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10924, 4691])).
% 6.55/4.75 tff(10926,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB77) <=> (v116(constB77) | v123(constB77)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(10927,plain,
% 6.55/4.75 (v115(constB77) <=> (v116(constB77) | v123(constB77))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10926, 4700])).
% 6.55/4.75 tff(10928,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB77) <=> (v117(constB77) | v122(constB77)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(10929,plain,
% 6.55/4.75 (v116(constB77) <=> (v117(constB77) | v122(constB77))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10928, 4709])).
% 6.55/4.75 tff(10930,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB77) <=> (v118(constB77) | v121(constB77)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(10931,plain,
% 6.55/4.75 (v117(constB77) <=> (v118(constB77) | v121(constB77))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10930, 4718])).
% 6.55/4.75 tff(10932,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB77) <=> (v119(constB77) | v120(constB77)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(10933,plain,
% 6.55/4.75 (v118(constB77) <=> (v119(constB77) | v120(constB77))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10932, 4727])).
% 6.55/4.75 tff(10934,plain,
% 6.55/4.75 ((v119(constB77) | v120(constB77)) | (~v120(constB77))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10935,plain,
% 6.55/4.75 (v119(constB77) | v120(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10934, 10867])).
% 6.55/4.75 tff(10936,plain,
% 6.55/4.75 ((~(v118(constB77) <=> (v119(constB77) | v120(constB77)))) | v118(constB77) | (~(v119(constB77) | v120(constB77)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10937,plain,
% 6.55/4.75 (v118(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10936, 10935, 10933])).
% 6.55/4.75 tff(10938,plain,
% 6.55/4.75 ((v118(constB77) | v121(constB77)) | (~v118(constB77))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10939,plain,
% 6.55/4.75 (v118(constB77) | v121(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10938, 10937])).
% 6.55/4.75 tff(10940,plain,
% 6.55/4.75 ((~(v117(constB77) <=> (v118(constB77) | v121(constB77)))) | v117(constB77) | (~(v118(constB77) | v121(constB77)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10941,plain,
% 6.55/4.75 (v117(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10940, 10939, 10931])).
% 6.55/4.75 tff(10942,plain,
% 6.55/4.75 ((v117(constB77) | v122(constB77)) | (~v117(constB77))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10943,plain,
% 6.55/4.75 (v117(constB77) | v122(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10942, 10941])).
% 6.55/4.75 tff(10944,plain,
% 6.55/4.75 ((~(v116(constB77) <=> (v117(constB77) | v122(constB77)))) | v116(constB77) | (~(v117(constB77) | v122(constB77)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10945,plain,
% 6.55/4.75 (v116(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10944, 10943, 10929])).
% 6.55/4.75 tff(10946,plain,
% 6.55/4.75 ((v116(constB77) | v123(constB77)) | (~v116(constB77))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10947,plain,
% 6.55/4.75 (v116(constB77) | v123(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10946, 10945])).
% 6.55/4.75 tff(10948,plain,
% 6.55/4.75 ((~(v115(constB77) <=> (v116(constB77) | v123(constB77)))) | v115(constB77) | (~(v116(constB77) | v123(constB77)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10949,plain,
% 6.55/4.75 (v115(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10948, 10947, 10927])).
% 6.55/4.75 tff(10950,plain,
% 6.55/4.75 ((v115(constB77) | v124(constB77)) | (~v115(constB77))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10951,plain,
% 6.55/4.75 (v115(constB77) | v124(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10950, 10949])).
% 6.55/4.75 tff(10952,plain,
% 6.55/4.75 ((~(v114(constB77) <=> (v115(constB77) | v124(constB77)))) | v114(constB77) | (~(v115(constB77) | v124(constB77)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10953,plain,
% 6.55/4.75 (v114(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10952, 10951, 10925])).
% 6.55/4.75 tff(10954,plain,
% 6.55/4.75 ((v114(constB77) | v125(constB77)) | (~v114(constB77))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10955,plain,
% 6.55/4.75 (v114(constB77) | v125(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10954, 10953])).
% 6.55/4.75 tff(10956,plain,
% 6.55/4.75 ((~(v113(constB77) <=> (v114(constB77) | v125(constB77)))) | v113(constB77) | (~(v114(constB77) | v125(constB77)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10957,plain,
% 6.55/4.75 (v113(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10956, 10955, 10923])).
% 6.55/4.75 tff(10958,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB77)) <=> v111(constB77))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(10959,plain,
% 6.55/4.75 ((~v126(constB77)) <=> v111(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10958, 4761])).
% 6.55/4.75 tff(10960,plain,
% 6.55/4.75 ((~((~v126(constB77)) <=> v111(constB77))) | v126(constB77) | v111(constB77)),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10961,plain,
% 6.55/4.75 ((~((~v126(constB77)) <=> v111(constB77))) | v126(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10960, 2062])).
% 6.55/4.75 tff(10962,plain,
% 6.55/4.75 (v126(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10961, 10959])).
% 6.55/4.75 tff(10963,plain,
% 6.55/4.75 ((~((~v113(constB77)) | (~v126(constB77)))) | (~v113(constB77)) | (~v126(constB77))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10964,plain,
% 6.55/4.75 ((~((~v113(constB77)) | (~v126(constB77)))) | (~v113(constB77))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10963, 10962])).
% 6.55/4.75 tff(10965,plain,
% 6.55/4.75 (~((~v113(constB77)) | (~v126(constB77)))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10964, 10957])).
% 6.55/4.75 tff(10966,plain,
% 6.55/4.75 ((~(v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77)))))) | v112(constB77) | ((~v113(constB77)) | (~v126(constB77)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10967,plain,
% 6.55/4.75 (v112(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10966, 10965, 10921])).
% 6.55/4.75 tff(10968,plain,
% 6.55/4.75 ((v111(constB77) | v112(constB77)) | (~v112(constB77))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10969,plain,
% 6.55/4.75 (v111(constB77) | v112(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10968, 10967])).
% 6.55/4.75 tff(10970,plain,
% 6.55/4.75 ((~(v108(constB77) <=> (v111(constB77) | v112(constB77)))) | v108(constB77) | (~(v111(constB77) | v112(constB77)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10971,plain,
% 6.55/4.75 (v108(constB77)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10970, 10969, 10919])).
% 6.55/4.75 tff(10972,plain,
% 6.55/4.75 ((~(v110(constB78) <=> v108(constB77))) | v110(constB78) | (~v108(constB77))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10973,plain,
% 6.55/4.75 (v110(constB78)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10972, 10971, 10917])).
% 6.55/4.75 tff(10974,plain,
% 6.55/4.75 ((~((~v101(constB78)) | (~v110(constB78)))) | (~v101(constB78)) | (~v110(constB78))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10975,plain,
% 6.55/4.75 (~((~v101(constB78)) | (~v110(constB78)))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10974, 10973, 10913])).
% 6.55/4.75 tff(10976,plain,
% 6.55/4.75 ((~(v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78)))))) | v100(constB78) | ((~v101(constB78)) | (~v110(constB78)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10977,plain,
% 6.55/4.75 (v100(constB78)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10976, 10975, 10885])).
% 6.55/4.75 tff(10978,plain,
% 6.55/4.75 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB78)) | (~(((~v90(constB78, 0)) <=> v129(constB78, 0)) | ((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB78)) | (~(((~v90(constB78, 0)) <=> v129(constB78, 0)) | ((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1)))))),
% 6.55/4.75 inference(rewrite,[status(thm)],[])).
% 6.55/4.75 tff(10979,plain,
% 6.55/4.75 (((~v100(constB78)) | (~(((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1)) | ((~v90(constB78, 0)) <=> v129(constB78, 0))))) <=> ((~v100(constB78)) | (~(((~v90(constB78, 0)) <=> v129(constB78, 0)) | ((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1)))))),
% 6.55/4.75 inference(rewrite,[status(thm)],[])).
% 6.55/4.75 tff(10980,plain,
% 6.55/4.75 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB78)) | (~(((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1)) | ((~v90(constB78, 0)) <=> v129(constB78, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB78)) | (~(((~v90(constB78, 0)) <=> v129(constB78, 0)) | ((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1))))))),
% 6.55/4.75 inference(monotonicity,[status(thm)],[10979])).
% 6.55/4.75 tff(10981,plain,
% 6.55/4.75 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB78)) | (~(((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1)) | ((~v90(constB78, 0)) <=> v129(constB78, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB78)) | (~(((~v90(constB78, 0)) <=> v129(constB78, 0)) | ((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1)))))),
% 6.55/4.75 inference(transitivity,[status(thm)],[10980, 10978])).
% 6.55/4.75 tff(10982,plain,
% 6.55/4.75 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB78)) | (~(((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1)) | ((~v90(constB78, 0)) <=> v129(constB78, 0)))))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(10983,plain,
% 6.55/4.75 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB78)) | (~(((~v90(constB78, 0)) <=> v129(constB78, 0)) | ((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1))))),
% 6.55/4.75 inference(modus_ponens,[status(thm)],[10982, 10981])).
% 6.55/4.75 tff(10984,plain,
% 6.55/4.75 ((~v100(constB78)) | (~(((~v90(constB78, 0)) <=> v129(constB78, 0)) | ((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1))))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10983, 4794])).
% 6.55/4.75 tff(10985,plain,
% 6.55/4.75 (~(((~v90(constB78, 0)) <=> v129(constB78, 0)) | ((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1)))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10984, 10977])).
% 6.55/4.75 tff(10986,plain,
% 6.55/4.75 ((((~v90(constB78, 0)) <=> v129(constB78, 0)) | ((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1))) | (~((~v90(constB78, 2)) <=> v129(constB78, 2)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10987,plain,
% 6.55/4.75 (~((~v90(constB78, 2)) <=> v129(constB78, 2))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10986, 10985])).
% 6.55/4.75 tff(10988,plain,
% 6.55/4.75 (((~v90(constB78, 2)) <=> v129(constB78, 2)) | (~v90(constB78, 2)) | v129(constB78, 2)),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10989,plain,
% 6.55/4.75 (~v90(constB78, 2)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10988, 10987, 10881])).
% 6.55/4.75 tff(10990,plain,
% 6.55/4.75 (((~v90(constB79, 2)) <=> v90(constB78, 2)) | (~v90(constB79, 2)) | v90(constB78, 2)),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10991,plain,
% 6.55/4.75 (~v90(constB79, 2)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10990, 10989, 2046])).
% 6.55/4.75 tff(10992,plain,
% 6.55/4.75 ((((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0))) | (~((~v90(constB79, 0)) <=> v90(constB78, 0)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10993,plain,
% 6.55/4.75 (~((~v90(constB79, 0)) <=> v90(constB78, 0))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10992, 2044])).
% 6.55/4.75 tff(10994,plain,
% 6.55/4.75 ((((~v129(constB78, 2)) <=> v127(constB77, 2)) | ((~v129(constB78, 1)) <=> v127(constB77, 1)) | ((~v129(constB78, 0)) <=> v127(constB77, 0))) | (~((~v129(constB78, 0)) <=> v127(constB77, 0)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10995,plain,
% 6.55/4.75 (~((~v129(constB78, 0)) <=> v127(constB77, 0))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10994, 2053])).
% 6.55/4.75 tff(10996,plain,
% 6.55/4.75 ((((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0))) | (~((~v127(constB77, 0)) <=> v130(constB77, 0)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10997,plain,
% 6.55/4.75 (~((~v127(constB77, 0)) <=> v130(constB77, 0))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10996, 2067])).
% 6.55/4.75 tff(10998,plain,
% 6.55/4.75 ((v130(constB77, 2) | v130(constB77, 0) | (~v130(constB77, 1))) | (~v130(constB77, 0))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(10999,plain,
% 6.55/4.75 (~v130(constB77, 0)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[10998, 10875])).
% 6.55/4.75 tff(11000,plain,
% 6.55/4.75 (((~v127(constB77, 0)) <=> v130(constB77, 0)) | (~v127(constB77, 0)) | v130(constB77, 0)),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11001,plain,
% 6.55/4.75 (~v127(constB77, 0)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11000, 10999, 10997])).
% 6.55/4.75 tff(11002,plain,
% 6.55/4.75 (((~v129(constB78, 0)) <=> v127(constB77, 0)) | (~v129(constB78, 0)) | v127(constB77, 0)),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11003,plain,
% 6.55/4.75 (~v129(constB78, 0)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11002, 11001, 10995])).
% 6.55/4.75 tff(11004,plain,
% 6.55/4.75 ((((~v90(constB78, 0)) <=> v129(constB78, 0)) | ((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1))) | (~((~v90(constB78, 0)) <=> v129(constB78, 0)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11005,plain,
% 6.55/4.75 (~((~v90(constB78, 0)) <=> v129(constB78, 0))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11004, 10985])).
% 6.55/4.75 tff(11006,plain,
% 6.55/4.75 (((~v90(constB78, 0)) <=> v129(constB78, 0)) | (~v90(constB78, 0)) | v129(constB78, 0)),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11007,plain,
% 6.55/4.75 (~v90(constB78, 0)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11006, 11005, 11003])).
% 6.55/4.75 tff(11008,plain,
% 6.55/4.75 (((~v90(constB79, 0)) <=> v90(constB78, 0)) | (~v90(constB79, 0)) | v90(constB78, 0)),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11009,plain,
% 6.55/4.75 (~v90(constB79, 0)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11008, 11007, 10993])).
% 6.55/4.75 tff(11010,plain,
% 6.55/4.75 ((((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0))) | (~((~v90(constB79, 1)) <=> v90(constB78, 1)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11011,plain,
% 6.55/4.75 (~((~v90(constB79, 1)) <=> v90(constB78, 1))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11010, 2044])).
% 6.55/4.75 tff(11012,plain,
% 6.55/4.75 ((((~v129(constB78, 2)) <=> v127(constB77, 2)) | ((~v129(constB78, 1)) <=> v127(constB77, 1)) | ((~v129(constB78, 0)) <=> v127(constB77, 0))) | (~((~v129(constB78, 1)) <=> v127(constB77, 1)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11013,plain,
% 6.55/4.75 (~((~v129(constB78, 1)) <=> v127(constB77, 1))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11012, 2053])).
% 6.55/4.75 tff(11014,plain,
% 6.55/4.75 ((((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0))) | (~((~v127(constB77, 1)) <=> v130(constB77, 1)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11015,plain,
% 6.55/4.75 (~((~v127(constB77, 1)) <=> v130(constB77, 1))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11014, 2067])).
% 6.55/4.75 tff(11016,plain,
% 6.55/4.75 ((v130(constB77, 2) | v130(constB77, 0) | (~v130(constB77, 1))) | v130(constB77, 1)),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11017,plain,
% 6.55/4.75 (v130(constB77, 1)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11016, 10875])).
% 6.55/4.75 tff(11018,plain,
% 6.55/4.75 (((~v127(constB77, 1)) <=> v130(constB77, 1)) | v127(constB77, 1) | (~v130(constB77, 1))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11019,plain,
% 6.55/4.75 (v127(constB77, 1)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11018, 11017, 11015])).
% 6.55/4.75 tff(11020,plain,
% 6.55/4.75 (((~v129(constB78, 1)) <=> v127(constB77, 1)) | v129(constB78, 1) | (~v127(constB77, 1))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11021,plain,
% 6.55/4.75 (v129(constB78, 1)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11020, 11019, 11013])).
% 6.55/4.75 tff(11022,plain,
% 6.55/4.75 ((((~v90(constB78, 0)) <=> v129(constB78, 0)) | ((~v90(constB78, 2)) <=> v129(constB78, 2)) | ((~v90(constB78, 1)) <=> v129(constB78, 1))) | (~((~v90(constB78, 1)) <=> v129(constB78, 1)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11023,plain,
% 6.55/4.75 (~((~v90(constB78, 1)) <=> v129(constB78, 1))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11022, 10985])).
% 6.55/4.75 tff(11024,plain,
% 6.55/4.75 (((~v90(constB78, 1)) <=> v129(constB78, 1)) | v90(constB78, 1) | (~v129(constB78, 1))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11025,plain,
% 6.55/4.75 (v90(constB78, 1)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11024, 11023, 11021])).
% 6.55/4.75 tff(11026,plain,
% 6.55/4.75 (((~v90(constB79, 1)) <=> v90(constB78, 1)) | v90(constB79, 1) | (~v90(constB78, 1))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11027,plain,
% 6.55/4.75 (v90(constB79, 1)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11026, 11025, 11011])).
% 6.55/4.75 tff(11028,plain,
% 6.55/4.75 ((~(v90(constB79, 2) | v90(constB79, 0) | (~v90(constB79, 1)))) | v90(constB79, 2) | v90(constB79, 0) | (~v90(constB79, 1))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11029,plain,
% 6.55/4.75 (~(v90(constB79, 2) | v90(constB79, 0) | (~v90(constB79, 1)))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11028, 11027, 11009, 10991])).
% 6.55/4.75 tff(11030,plain,
% 6.55/4.75 ((~(v121(constB79) <=> (~(v90(constB79, 2) | v90(constB79, 0) | (~v90(constB79, 1)))))) | v121(constB79) | (v90(constB79, 2) | v90(constB79, 0) | (~v90(constB79, 1)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11031,plain,
% 6.55/4.75 (v121(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11030, 11029, 2010])).
% 6.55/4.75 tff(11032,plain,
% 6.55/4.75 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB79)) | (~(v130(constB79, 2) | (~v130(constB79, 1)) | (~v130(constB79, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB79)) | (~(v130(constB79, 2) | (~v130(constB79, 1)) | (~v130(constB79, 0)))))),
% 6.55/4.75 inference(rewrite,[status(thm)],[])).
% 6.55/4.75 tff(11033,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB79)) | (~(v130(constB79, 2) | (~v130(constB79, 1)) | (~v130(constB79, 0)))))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11034,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB79)) | (~(v130(constB79, 2) | (~v130(constB79, 1)) | (~v130(constB79, 0))))),
% 6.55/4.75 inference(modus_ponens,[status(thm)],[11033, 11032])).
% 6.55/4.75 tff(11035,plain,
% 6.55/4.75 ((~v121(constB79)) | (~(v130(constB79, 2) | (~v130(constB79, 1)) | (~v130(constB79, 0))))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11034, 5420])).
% 6.55/4.75 tff(11036,plain,
% 6.55/4.75 (~(v130(constB79, 2) | (~v130(constB79, 1)) | (~v130(constB79, 0)))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11035, 11031])).
% 6.55/4.75 tff(11037,plain,
% 6.55/4.75 ((v130(constB79, 2) | (~v130(constB79, 1)) | (~v130(constB79, 0))) | (~v130(constB79, 2))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11038,plain,
% 6.55/4.75 (~v130(constB79, 2)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11037, 11036])).
% 6.55/4.75 tff(11039,plain,
% 6.55/4.75 (((~v127(constB79, 2)) <=> v130(constB79, 2)) | (~v127(constB79, 2)) | v130(constB79, 2)),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11040,plain,
% 6.55/4.75 (~v127(constB79, 2)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11039, 11038, 2003])).
% 6.55/4.75 tff(11041,plain,
% 6.55/4.75 (((~v129(constB80, 2)) <=> v127(constB79, 2)) | (~v129(constB80, 2)) | v127(constB79, 2)),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11042,plain,
% 6.55/4.75 (~v129(constB80, 2)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11041, 11040, 1989])).
% 6.55/4.75 tff(11043,plain,
% 6.55/4.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))))),
% 6.55/4.75 inference(rewrite,[status(thm)],[])).
% 6.55/4.75 tff(11044,plain,
% 6.55/4.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11045,plain,
% 6.55/4.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80)))))),
% 6.55/4.75 inference(modus_ponens,[status(thm)],[11044, 11043])).
% 6.55/4.75 tff(11046,plain,
% 6.55/4.75 (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11045, 1983, 273])).
% 6.55/4.75 tff(11047,plain,
% 6.55/4.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))),
% 6.55/4.75 inference(rewrite,[status(thm)],[])).
% 6.55/4.75 tff(11048,plain,
% 6.55/4.75 (((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80)))))) <=> ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))),
% 6.55/4.75 inference(rewrite,[status(thm)],[])).
% 6.55/4.75 tff(11049,plain,
% 6.55/4.75 (((~![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) <=> (~((~v1(constB80)) | (~v102(constB80)))))))),
% 6.55/4.75 inference(monotonicity,[status(thm)],[11048])).
% 6.55/4.75 tff(11050,plain,
% 6.55/4.75 (((~![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) <=> (~((~v1(constB80)) | (~v102(constB80))))))),
% 6.55/4.75 inference(transitivity,[status(thm)],[11049, 11047])).
% 6.55/4.75 tff(11051,plain,
% 6.55/4.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80))))))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11052,plain,
% 6.55/4.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80)))))),
% 6.55/4.75 inference(modus_ponens,[status(thm)],[11051, 11050])).
% 6.55/4.75 tff(11053,plain,
% 6.55/4.75 (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11052, 1983, 293])).
% 6.55/4.75 tff(11054,plain,
% 6.55/4.75 (((~![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)))),
% 6.55/4.75 inference(rewrite,[status(thm)],[])).
% 6.55/4.75 tff(11055,plain,
% 6.55/4.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11056,plain,
% 6.55/4.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80))),
% 6.55/4.75 inference(modus_ponens,[status(thm)],[11055, 11054])).
% 6.55/4.75 tff(11057,plain,
% 6.55/4.75 ((~v102(constB80)) <=> v104(constB80)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11056, 1983, 4609])).
% 6.55/4.75 tff(11058,plain,
% 6.55/4.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))),
% 6.55/4.75 inference(rewrite,[status(thm)],[])).
% 6.55/4.75 tff(11059,plain,
% 6.55/4.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11060,plain,
% 6.55/4.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79))),
% 6.55/4.75 inference(modus_ponens,[status(thm)],[11059, 11058])).
% 6.55/4.75 tff(11061,plain,
% 6.55/4.75 (v104(constB80) <=> v1(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11060, 1983, 4623])).
% 6.55/4.75 tff(11062,plain,
% 6.55/4.75 ((~(v104(constB80) <=> v1(constB79))) | (~v104(constB80)) | v1(constB79)),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11063,plain,
% 6.55/4.75 ((~(v104(constB80) <=> v1(constB79))) | (~v104(constB80))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11062, 2027])).
% 6.55/4.75 tff(11064,plain,
% 6.55/4.75 (~v104(constB80)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11063, 11061])).
% 6.55/4.75 tff(11065,plain,
% 6.55/4.75 ((~((~v102(constB80)) <=> v104(constB80))) | v102(constB80) | v104(constB80)),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11066,plain,
% 6.55/4.75 (v102(constB80)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11065, 11064, 11057])).
% 6.55/4.75 tff(11067,plain,
% 6.55/4.75 (v1(constB80) <=> v1(constB80)),
% 6.55/4.75 inference(rewrite,[status(thm)],[])).
% 6.55/4.75 tff(11068,axiom,(v1(constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_80')).
% 6.55/4.75 tff(11069,plain,
% 6.55/4.75 (v1(constB80)),
% 6.55/4.75 inference(modus_ponens,[status(thm)],[11068, 11067])).
% 6.55/4.75 tff(11070,plain,
% 6.55/4.75 ((~((~v1(constB80)) | (~v102(constB80)))) | (~v1(constB80)) | (~v102(constB80))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11071,plain,
% 6.55/4.75 ((~((~v1(constB80)) | (~v102(constB80)))) | (~v102(constB80))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11070, 11069])).
% 6.55/4.75 tff(11072,plain,
% 6.55/4.75 (~((~v1(constB80)) | (~v102(constB80)))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11071, 11066])).
% 6.55/4.75 tff(11073,plain,
% 6.55/4.75 ((~(v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80)))))) | v101(constB80) | ((~v1(constB80)) | (~v102(constB80)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11074,plain,
% 6.55/4.75 (v101(constB80)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11073, 11072, 11053])).
% 6.55/4.75 tff(11075,plain,
% 6.55/4.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79)))),
% 6.55/4.75 inference(rewrite,[status(thm)],[])).
% 6.55/4.75 tff(11076,plain,
% 6.55/4.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11077,plain,
% 6.55/4.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79))),
% 6.55/4.75 inference(modus_ponens,[status(thm)],[11076, 11075])).
% 6.55/4.75 tff(11078,plain,
% 6.55/4.75 (v110(constB80) <=> v108(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11077, 1983, 4650])).
% 6.55/4.75 tff(11079,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB79) <=> (v111(constB79) | v112(constB79)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11080,plain,
% 6.55/4.75 (v108(constB79) <=> (v111(constB79) | v112(constB79))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11079, 4661])).
% 6.55/4.75 tff(11081,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79)))))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11082,plain,
% 6.55/4.75 (v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79))))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11081, 4673])).
% 6.55/4.75 tff(11083,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB79) <=> (v114(constB79) | v125(constB79)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11084,plain,
% 6.55/4.75 (v113(constB79) <=> (v114(constB79) | v125(constB79))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11083, 4682])).
% 6.55/4.75 tff(11085,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB79) <=> (v115(constB79) | v124(constB79)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11086,plain,
% 6.55/4.75 (v114(constB79) <=> (v115(constB79) | v124(constB79))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11085, 4691])).
% 6.55/4.75 tff(11087,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB79) <=> (v116(constB79) | v123(constB79)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11088,plain,
% 6.55/4.75 (v115(constB79) <=> (v116(constB79) | v123(constB79))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11087, 4700])).
% 6.55/4.75 tff(11089,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB79) <=> (v117(constB79) | v122(constB79)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11090,plain,
% 6.55/4.75 (v116(constB79) <=> (v117(constB79) | v122(constB79))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11089, 4709])).
% 6.55/4.75 tff(11091,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB79) <=> (v118(constB79) | v121(constB79)))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11092,plain,
% 6.55/4.75 (v117(constB79) <=> (v118(constB79) | v121(constB79))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11091, 4718])).
% 6.55/4.75 tff(11093,plain,
% 6.55/4.75 ((v118(constB79) | v121(constB79)) | (~v121(constB79))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11094,plain,
% 6.55/4.75 (v118(constB79) | v121(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11093, 11031])).
% 6.55/4.75 tff(11095,plain,
% 6.55/4.75 ((~(v117(constB79) <=> (v118(constB79) | v121(constB79)))) | v117(constB79) | (~(v118(constB79) | v121(constB79)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11096,plain,
% 6.55/4.75 (v117(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11095, 11094, 11092])).
% 6.55/4.75 tff(11097,plain,
% 6.55/4.75 ((v117(constB79) | v122(constB79)) | (~v117(constB79))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11098,plain,
% 6.55/4.75 (v117(constB79) | v122(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11097, 11096])).
% 6.55/4.75 tff(11099,plain,
% 6.55/4.75 ((~(v116(constB79) <=> (v117(constB79) | v122(constB79)))) | v116(constB79) | (~(v117(constB79) | v122(constB79)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11100,plain,
% 6.55/4.75 (v116(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11099, 11098, 11090])).
% 6.55/4.75 tff(11101,plain,
% 6.55/4.75 ((v116(constB79) | v123(constB79)) | (~v116(constB79))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11102,plain,
% 6.55/4.75 (v116(constB79) | v123(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11101, 11100])).
% 6.55/4.75 tff(11103,plain,
% 6.55/4.75 ((~(v115(constB79) <=> (v116(constB79) | v123(constB79)))) | v115(constB79) | (~(v116(constB79) | v123(constB79)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11104,plain,
% 6.55/4.75 (v115(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11103, 11102, 11088])).
% 6.55/4.75 tff(11105,plain,
% 6.55/4.75 ((v115(constB79) | v124(constB79)) | (~v115(constB79))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11106,plain,
% 6.55/4.75 (v115(constB79) | v124(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11105, 11104])).
% 6.55/4.75 tff(11107,plain,
% 6.55/4.75 ((~(v114(constB79) <=> (v115(constB79) | v124(constB79)))) | v114(constB79) | (~(v115(constB79) | v124(constB79)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11108,plain,
% 6.55/4.75 (v114(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11107, 11106, 11086])).
% 6.55/4.75 tff(11109,plain,
% 6.55/4.75 ((v114(constB79) | v125(constB79)) | (~v114(constB79))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11110,plain,
% 6.55/4.75 (v114(constB79) | v125(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11109, 11108])).
% 6.55/4.75 tff(11111,plain,
% 6.55/4.75 ((~(v113(constB79) <=> (v114(constB79) | v125(constB79)))) | v113(constB79) | (~(v114(constB79) | v125(constB79)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11112,plain,
% 6.55/4.75 (v113(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11111, 11110, 11084])).
% 6.55/4.75 tff(11113,plain,
% 6.55/4.75 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB79)) <=> v111(constB79))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11114,plain,
% 6.55/4.75 ((~v126(constB79)) <=> v111(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11113, 4761])).
% 6.55/4.75 tff(11115,plain,
% 6.55/4.75 ((~((~v126(constB79)) <=> v111(constB79))) | v126(constB79) | v111(constB79)),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11116,plain,
% 6.55/4.75 ((~((~v126(constB79)) <=> v111(constB79))) | v126(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11115, 1996])).
% 6.55/4.75 tff(11117,plain,
% 6.55/4.75 (v126(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11116, 11114])).
% 6.55/4.75 tff(11118,plain,
% 6.55/4.75 ((~((~v113(constB79)) | (~v126(constB79)))) | (~v113(constB79)) | (~v126(constB79))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11119,plain,
% 6.55/4.75 ((~((~v113(constB79)) | (~v126(constB79)))) | (~v113(constB79))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11118, 11117])).
% 6.55/4.75 tff(11120,plain,
% 6.55/4.75 (~((~v113(constB79)) | (~v126(constB79)))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11119, 11112])).
% 6.55/4.75 tff(11121,plain,
% 6.55/4.75 ((~(v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79)))))) | v112(constB79) | ((~v113(constB79)) | (~v126(constB79)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11122,plain,
% 6.55/4.75 (v112(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11121, 11120, 11082])).
% 6.55/4.75 tff(11123,plain,
% 6.55/4.75 ((v111(constB79) | v112(constB79)) | (~v112(constB79))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11124,plain,
% 6.55/4.75 (v111(constB79) | v112(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11123, 11122])).
% 6.55/4.75 tff(11125,plain,
% 6.55/4.75 ((~(v108(constB79) <=> (v111(constB79) | v112(constB79)))) | v108(constB79) | (~(v111(constB79) | v112(constB79)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11126,plain,
% 6.55/4.75 (v108(constB79)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11125, 11124, 11080])).
% 6.55/4.75 tff(11127,plain,
% 6.55/4.75 ((~(v110(constB80) <=> v108(constB79))) | v110(constB80) | (~v108(constB79))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11128,plain,
% 6.55/4.75 (v110(constB80)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11127, 11126, 11078])).
% 6.55/4.75 tff(11129,plain,
% 6.55/4.75 ((~((~v101(constB80)) | (~v110(constB80)))) | (~v101(constB80)) | (~v110(constB80))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11130,plain,
% 6.55/4.75 (~((~v101(constB80)) | (~v110(constB80)))),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11129, 11128, 11074])).
% 6.55/4.75 tff(11131,plain,
% 6.55/4.75 ((~(v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80)))))) | v100(constB80) | ((~v101(constB80)) | (~v110(constB80)))),
% 6.55/4.75 inference(tautology,[status(thm)],[])).
% 6.55/4.75 tff(11132,plain,
% 6.55/4.75 (v100(constB80)),
% 6.55/4.75 inference(unit_resolution,[status(thm)],[11131, 11130, 11046])).
% 6.55/4.75 tff(11133,plain,
% 6.55/4.75 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB80)) | (~(((~v90(constB80, 2)) <=> v129(constB80, 2)) | ((~v90(constB80, 1)) <=> v129(constB80, 1)) | ((~v90(constB80, 0)) <=> v129(constB80, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB80)) | (~(((~v90(constB80, 2)) <=> v129(constB80, 2)) | ((~v90(constB80, 1)) <=> v129(constB80, 1)) | ((~v90(constB80, 0)) <=> v129(constB80, 0)))))),
% 6.55/4.75 inference(rewrite,[status(thm)],[])).
% 6.55/4.75 tff(11134,plain,
% 6.55/4.75 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB80)) | (~(((~v90(constB80, 2)) <=> v129(constB80, 2)) | ((~v90(constB80, 1)) <=> v129(constB80, 1)) | ((~v90(constB80, 0)) <=> v129(constB80, 0)))))),
% 6.55/4.75 inference(quant_inst,[status(thm)],[])).
% 6.55/4.75 tff(11135,plain,
% 6.55/4.75 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB80)) | (~(((~v90(constB80, 2)) <=> v129(constB80, 2)) | ((~v90(constB80, 1)) <=> v129(constB80, 1)) | ((~v90(constB80, 0)) <=> v129(constB80, 0))))),
% 6.55/4.75 inference(modus_ponens,[status(thm)],[11134, 11133])).
% 6.55/4.75 tff(11136,plain,
% 6.55/4.75 ((~v100(constB80)) | (~(((~v90(constB80, 2)) <=> v129(constB80, 2)) | ((~v90(constB80, 1)) <=> v129(constB80, 1)) | ((~v90(constB80, 0)) <=> v129(constB80, 0))))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11135, 4794])).
% 6.55/4.76 tff(11137,plain,
% 6.55/4.76 (~(((~v90(constB80, 2)) <=> v129(constB80, 2)) | ((~v90(constB80, 1)) <=> v129(constB80, 1)) | ((~v90(constB80, 0)) <=> v129(constB80, 0)))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11136, 11132])).
% 6.55/4.76 tff(11138,plain,
% 6.55/4.76 ((((~v90(constB80, 2)) <=> v129(constB80, 2)) | ((~v90(constB80, 1)) <=> v129(constB80, 1)) | ((~v90(constB80, 0)) <=> v129(constB80, 0))) | (~((~v90(constB80, 2)) <=> v129(constB80, 2)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11139,plain,
% 6.55/4.76 (~((~v90(constB80, 2)) <=> v129(constB80, 2))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11138, 11137])).
% 6.55/4.76 tff(11140,plain,
% 6.55/4.76 (((~v90(constB80, 2)) <=> v129(constB80, 2)) | (~v90(constB80, 2)) | v129(constB80, 2)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11141,plain,
% 6.55/4.76 (~v90(constB80, 2)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11140, 11139, 11042])).
% 6.55/4.76 tff(11142,plain,
% 6.55/4.76 (((~v90(constB81, 2)) <=> v90(constB80, 2)) | (~v90(constB81, 2)) | v90(constB80, 2)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11143,plain,
% 6.55/4.76 (~v90(constB81, 2)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11142, 11141, 1980])).
% 6.55/4.76 tff(11144,plain,
% 6.55/4.76 ((((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 0)) <=> v90(constB80, 0))) | (~((~v90(constB81, 0)) <=> v90(constB80, 0)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11145,plain,
% 6.55/4.76 (~((~v90(constB81, 0)) <=> v90(constB80, 0))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11144, 1978])).
% 6.55/4.76 tff(11146,plain,
% 6.55/4.76 ((((~v129(constB80, 2)) <=> v127(constB79, 2)) | ((~v129(constB80, 1)) <=> v127(constB79, 1)) | ((~v129(constB80, 0)) <=> v127(constB79, 0))) | (~((~v129(constB80, 0)) <=> v127(constB79, 0)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11147,plain,
% 6.55/4.76 (~((~v129(constB80, 0)) <=> v127(constB79, 0))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11146, 1987])).
% 6.55/4.76 tff(11148,plain,
% 6.55/4.76 ((((~v127(constB79, 2)) <=> v130(constB79, 2)) | ((~v127(constB79, 1)) <=> v130(constB79, 1)) | ((~v127(constB79, 0)) <=> v130(constB79, 0))) | (~((~v127(constB79, 0)) <=> v130(constB79, 0)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11149,plain,
% 6.55/4.76 (~((~v127(constB79, 0)) <=> v130(constB79, 0))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11148, 2001])).
% 6.55/4.76 tff(11150,plain,
% 6.55/4.76 ((v130(constB79, 2) | (~v130(constB79, 1)) | (~v130(constB79, 0))) | v130(constB79, 0)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11151,plain,
% 6.55/4.76 (v130(constB79, 0)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11150, 11036])).
% 6.55/4.76 tff(11152,plain,
% 6.55/4.76 (((~v127(constB79, 0)) <=> v130(constB79, 0)) | v127(constB79, 0) | (~v130(constB79, 0))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11153,plain,
% 6.55/4.76 (v127(constB79, 0)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11152, 11151, 11149])).
% 6.55/4.76 tff(11154,plain,
% 6.55/4.76 (((~v129(constB80, 0)) <=> v127(constB79, 0)) | v129(constB80, 0) | (~v127(constB79, 0))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11155,plain,
% 6.55/4.76 (v129(constB80, 0)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11154, 11153, 11147])).
% 6.55/4.76 tff(11156,plain,
% 6.55/4.76 ((((~v90(constB80, 2)) <=> v129(constB80, 2)) | ((~v90(constB80, 1)) <=> v129(constB80, 1)) | ((~v90(constB80, 0)) <=> v129(constB80, 0))) | (~((~v90(constB80, 0)) <=> v129(constB80, 0)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11157,plain,
% 6.55/4.76 (~((~v90(constB80, 0)) <=> v129(constB80, 0))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11156, 11137])).
% 6.55/4.76 tff(11158,plain,
% 6.55/4.76 (((~v90(constB80, 0)) <=> v129(constB80, 0)) | v90(constB80, 0) | (~v129(constB80, 0))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11159,plain,
% 6.55/4.76 (v90(constB80, 0)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11158, 11157, 11155])).
% 6.55/4.76 tff(11160,plain,
% 6.55/4.76 (((~v90(constB81, 0)) <=> v90(constB80, 0)) | v90(constB81, 0) | (~v90(constB80, 0))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11161,plain,
% 6.55/4.76 (v90(constB81, 0)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11160, 11159, 11145])).
% 6.55/4.76 tff(11162,plain,
% 6.55/4.76 ((((~v90(constB81, 1)) <=> v90(constB80, 1)) | ((~v90(constB81, 2)) <=> v90(constB80, 2)) | ((~v90(constB81, 0)) <=> v90(constB80, 0))) | (~((~v90(constB81, 1)) <=> v90(constB80, 1)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11163,plain,
% 6.55/4.76 (~((~v90(constB81, 1)) <=> v90(constB80, 1))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11162, 1978])).
% 6.55/4.76 tff(11164,plain,
% 6.55/4.76 ((((~v129(constB80, 2)) <=> v127(constB79, 2)) | ((~v129(constB80, 1)) <=> v127(constB79, 1)) | ((~v129(constB80, 0)) <=> v127(constB79, 0))) | (~((~v129(constB80, 1)) <=> v127(constB79, 1)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11165,plain,
% 6.55/4.76 (~((~v129(constB80, 1)) <=> v127(constB79, 1))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11164, 1987])).
% 6.55/4.76 tff(11166,plain,
% 6.55/4.76 ((((~v127(constB79, 2)) <=> v130(constB79, 2)) | ((~v127(constB79, 1)) <=> v130(constB79, 1)) | ((~v127(constB79, 0)) <=> v130(constB79, 0))) | (~((~v127(constB79, 1)) <=> v130(constB79, 1)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11167,plain,
% 6.55/4.76 (~((~v127(constB79, 1)) <=> v130(constB79, 1))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11166, 2001])).
% 6.55/4.76 tff(11168,plain,
% 6.55/4.76 ((v130(constB79, 2) | (~v130(constB79, 1)) | (~v130(constB79, 0))) | v130(constB79, 1)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11169,plain,
% 6.55/4.76 (v130(constB79, 1)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11168, 11036])).
% 6.55/4.76 tff(11170,plain,
% 6.55/4.76 (((~v127(constB79, 1)) <=> v130(constB79, 1)) | v127(constB79, 1) | (~v130(constB79, 1))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11171,plain,
% 6.55/4.76 (v127(constB79, 1)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11170, 11169, 11167])).
% 6.55/4.76 tff(11172,plain,
% 6.55/4.76 (((~v129(constB80, 1)) <=> v127(constB79, 1)) | v129(constB80, 1) | (~v127(constB79, 1))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11173,plain,
% 6.55/4.76 (v129(constB80, 1)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11172, 11171, 11165])).
% 6.55/4.76 tff(11174,plain,
% 6.55/4.76 ((((~v90(constB80, 2)) <=> v129(constB80, 2)) | ((~v90(constB80, 1)) <=> v129(constB80, 1)) | ((~v90(constB80, 0)) <=> v129(constB80, 0))) | (~((~v90(constB80, 1)) <=> v129(constB80, 1)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11175,plain,
% 6.55/4.76 (~((~v90(constB80, 1)) <=> v129(constB80, 1))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11174, 11137])).
% 6.55/4.76 tff(11176,plain,
% 6.55/4.76 (((~v90(constB80, 1)) <=> v129(constB80, 1)) | v90(constB80, 1) | (~v129(constB80, 1))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11177,plain,
% 6.55/4.76 (v90(constB80, 1)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11176, 11175, 11173])).
% 6.55/4.76 tff(11178,plain,
% 6.55/4.76 (((~v90(constB81, 1)) <=> v90(constB80, 1)) | v90(constB81, 1) | (~v90(constB80, 1))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11179,plain,
% 6.55/4.76 (v90(constB81, 1)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11178, 11177, 11163])).
% 6.55/4.76 tff(11180,plain,
% 6.55/4.76 ((~(v90(constB81, 2) | (~v90(constB81, 1)) | (~v90(constB81, 0)))) | v90(constB81, 2) | (~v90(constB81, 1)) | (~v90(constB81, 0))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11181,plain,
% 6.55/4.76 (~(v90(constB81, 2) | (~v90(constB81, 1)) | (~v90(constB81, 0)))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11180, 11179, 11161, 11143])).
% 6.55/4.76 tff(11182,plain,
% 6.55/4.76 ((~(v122(constB81) <=> (~(v90(constB81, 2) | (~v90(constB81, 1)) | (~v90(constB81, 0)))))) | v122(constB81) | (v90(constB81, 2) | (~v90(constB81, 1)) | (~v90(constB81, 0)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11183,plain,
% 6.55/4.76 (v122(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11182, 11181, 1944])).
% 6.55/4.76 tff(11184,plain,
% 6.55/4.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB81)) | (~(v130(constB81, 1) | v130(constB81, 0) | (~v130(constB81, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB81)) | (~(v130(constB81, 1) | v130(constB81, 0) | (~v130(constB81, 2)))))),
% 6.55/4.76 inference(rewrite,[status(thm)],[])).
% 6.55/4.76 tff(11185,plain,
% 6.55/4.76 (((~v122(constB81)) | (~(v130(constB81, 0) | v130(constB81, 1) | (~v130(constB81, 2))))) <=> ((~v122(constB81)) | (~(v130(constB81, 1) | v130(constB81, 0) | (~v130(constB81, 2)))))),
% 6.55/4.76 inference(rewrite,[status(thm)],[])).
% 6.55/4.76 tff(11186,plain,
% 6.55/4.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB81)) | (~(v130(constB81, 0) | v130(constB81, 1) | (~v130(constB81, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB81)) | (~(v130(constB81, 1) | v130(constB81, 0) | (~v130(constB81, 2))))))),
% 6.55/4.76 inference(monotonicity,[status(thm)],[11185])).
% 6.55/4.76 tff(11187,plain,
% 6.55/4.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB81)) | (~(v130(constB81, 0) | v130(constB81, 1) | (~v130(constB81, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB81)) | (~(v130(constB81, 1) | v130(constB81, 0) | (~v130(constB81, 2)))))),
% 6.55/4.76 inference(transitivity,[status(thm)],[11186, 11184])).
% 6.55/4.76 tff(11188,plain,
% 6.55/4.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB81)) | (~(v130(constB81, 0) | v130(constB81, 1) | (~v130(constB81, 2)))))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11189,plain,
% 6.55/4.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB81)) | (~(v130(constB81, 1) | v130(constB81, 0) | (~v130(constB81, 2))))),
% 6.55/4.76 inference(modus_ponens,[status(thm)],[11188, 11187])).
% 6.55/4.76 tff(11190,plain,
% 6.55/4.76 ((~v122(constB81)) | (~(v130(constB81, 1) | v130(constB81, 0) | (~v130(constB81, 2))))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11189, 5588])).
% 6.55/4.76 tff(11191,plain,
% 6.55/4.76 (~(v130(constB81, 1) | v130(constB81, 0) | (~v130(constB81, 2)))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11190, 11183])).
% 6.55/4.76 tff(11192,plain,
% 6.55/4.76 ((v130(constB81, 1) | v130(constB81, 0) | (~v130(constB81, 2))) | v130(constB81, 2)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11193,plain,
% 6.55/4.76 (v130(constB81, 2)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11192, 11191])).
% 6.55/4.76 tff(11194,plain,
% 6.55/4.76 (((~v127(constB81, 2)) <=> v130(constB81, 2)) | v127(constB81, 2) | (~v130(constB81, 2))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11195,plain,
% 6.55/4.76 (v127(constB81, 2)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11194, 11193, 1937])).
% 6.55/4.76 tff(11196,plain,
% 6.55/4.76 (((~v129(constB82, 2)) <=> v127(constB81, 2)) | v129(constB82, 2) | (~v127(constB81, 2))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11197,plain,
% 6.55/4.76 (v129(constB82, 2)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11196, 11195, 1923])).
% 6.55/4.76 tff(11198,plain,
% 6.55/4.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))))),
% 6.55/4.76 inference(rewrite,[status(thm)],[])).
% 6.55/4.76 tff(11199,plain,
% 6.55/4.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11200,plain,
% 6.55/4.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82)))))),
% 6.55/4.76 inference(modus_ponens,[status(thm)],[11199, 11198])).
% 6.55/4.76 tff(11201,plain,
% 6.55/4.76 (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11200, 1917, 273])).
% 6.55/4.76 tff(11202,plain,
% 6.55/4.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))),
% 6.55/4.76 inference(rewrite,[status(thm)],[])).
% 6.55/4.76 tff(11203,plain,
% 6.55/4.76 (((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82)))))) <=> ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))),
% 6.55/4.76 inference(rewrite,[status(thm)],[])).
% 6.55/4.76 tff(11204,plain,
% 6.55/4.76 (((~![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) <=> (~((~v1(constB82)) | (~v102(constB82)))))))),
% 6.55/4.76 inference(monotonicity,[status(thm)],[11203])).
% 6.55/4.76 tff(11205,plain,
% 6.55/4.76 (((~![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) <=> (~((~v1(constB82)) | (~v102(constB82))))))),
% 6.55/4.76 inference(transitivity,[status(thm)],[11204, 11202])).
% 6.55/4.76 tff(11206,plain,
% 6.55/4.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82))))))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11207,plain,
% 6.55/4.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82)))))),
% 6.55/4.76 inference(modus_ponens,[status(thm)],[11206, 11205])).
% 6.55/4.76 tff(11208,plain,
% 6.55/4.76 (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11207, 1917, 293])).
% 6.55/4.76 tff(11209,plain,
% 6.55/4.76 (((~![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)))),
% 6.55/4.76 inference(rewrite,[status(thm)],[])).
% 6.55/4.76 tff(11210,plain,
% 6.55/4.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82)))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11211,plain,
% 6.55/4.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82))),
% 6.55/4.76 inference(modus_ponens,[status(thm)],[11210, 11209])).
% 6.55/4.76 tff(11212,plain,
% 6.55/4.76 ((~v102(constB82)) <=> v104(constB82)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11211, 1917, 4609])).
% 6.55/4.76 tff(11213,plain,
% 6.55/4.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81)))),
% 6.55/4.76 inference(rewrite,[status(thm)],[])).
% 6.55/4.76 tff(11214,plain,
% 6.55/4.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81)))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11215,plain,
% 6.55/4.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81))),
% 6.55/4.76 inference(modus_ponens,[status(thm)],[11214, 11213])).
% 6.55/4.76 tff(11216,plain,
% 6.55/4.76 (v104(constB82) <=> v1(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11215, 1917, 4623])).
% 6.55/4.76 tff(11217,plain,
% 6.55/4.76 ((~(v104(constB82) <=> v1(constB81))) | (~v104(constB82)) | v1(constB81)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11218,plain,
% 6.55/4.76 ((~(v104(constB82) <=> v1(constB81))) | (~v104(constB82))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11217, 1961])).
% 6.55/4.76 tff(11219,plain,
% 6.55/4.76 (~v104(constB82)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11218, 11216])).
% 6.55/4.76 tff(11220,plain,
% 6.55/4.76 ((~((~v102(constB82)) <=> v104(constB82))) | v102(constB82) | v104(constB82)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11221,plain,
% 6.55/4.76 (v102(constB82)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11220, 11219, 11212])).
% 6.55/4.76 tff(11222,plain,
% 6.55/4.76 (v1(constB82) <=> v1(constB82)),
% 6.55/4.76 inference(rewrite,[status(thm)],[])).
% 6.55/4.76 tff(11223,axiom,(v1(constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_82')).
% 6.55/4.76 tff(11224,plain,
% 6.55/4.76 (v1(constB82)),
% 6.55/4.76 inference(modus_ponens,[status(thm)],[11223, 11222])).
% 6.55/4.76 tff(11225,plain,
% 6.55/4.76 ((~((~v1(constB82)) | (~v102(constB82)))) | (~v1(constB82)) | (~v102(constB82))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11226,plain,
% 6.55/4.76 ((~((~v1(constB82)) | (~v102(constB82)))) | (~v102(constB82))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11225, 11224])).
% 6.55/4.76 tff(11227,plain,
% 6.55/4.76 (~((~v1(constB82)) | (~v102(constB82)))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11226, 11221])).
% 6.55/4.76 tff(11228,plain,
% 6.55/4.76 ((~(v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82)))))) | v101(constB82) | ((~v1(constB82)) | (~v102(constB82)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11229,plain,
% 6.55/4.76 (v101(constB82)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11228, 11227, 11208])).
% 6.55/4.76 tff(11230,plain,
% 6.55/4.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81)))),
% 6.55/4.76 inference(rewrite,[status(thm)],[])).
% 6.55/4.76 tff(11231,plain,
% 6.55/4.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81)))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11232,plain,
% 6.55/4.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81))),
% 6.55/4.76 inference(modus_ponens,[status(thm)],[11231, 11230])).
% 6.55/4.76 tff(11233,plain,
% 6.55/4.76 (v110(constB82) <=> v108(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11232, 1917, 4650])).
% 6.55/4.76 tff(11234,plain,
% 6.55/4.76 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB81) <=> (v111(constB81) | v112(constB81)))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11235,plain,
% 6.55/4.76 (v108(constB81) <=> (v111(constB81) | v112(constB81))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11234, 4661])).
% 6.55/4.76 tff(11236,plain,
% 6.55/4.76 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81)))))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11237,plain,
% 6.55/4.76 (v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81))))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11236, 4673])).
% 6.55/4.76 tff(11238,plain,
% 6.55/4.76 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB81) <=> (v114(constB81) | v125(constB81)))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11239,plain,
% 6.55/4.76 (v113(constB81) <=> (v114(constB81) | v125(constB81))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11238, 4682])).
% 6.55/4.76 tff(11240,plain,
% 6.55/4.76 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB81) <=> (v115(constB81) | v124(constB81)))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11241,plain,
% 6.55/4.76 (v114(constB81) <=> (v115(constB81) | v124(constB81))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11240, 4691])).
% 6.55/4.76 tff(11242,plain,
% 6.55/4.76 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB81) <=> (v116(constB81) | v123(constB81)))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11243,plain,
% 6.55/4.76 (v115(constB81) <=> (v116(constB81) | v123(constB81))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11242, 4700])).
% 6.55/4.76 tff(11244,plain,
% 6.55/4.76 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB81) <=> (v117(constB81) | v122(constB81)))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11245,plain,
% 6.55/4.76 (v116(constB81) <=> (v117(constB81) | v122(constB81))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11244, 4709])).
% 6.55/4.76 tff(11246,plain,
% 6.55/4.76 ((v117(constB81) | v122(constB81)) | (~v122(constB81))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11247,plain,
% 6.55/4.76 (v117(constB81) | v122(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11246, 11183])).
% 6.55/4.76 tff(11248,plain,
% 6.55/4.76 ((~(v116(constB81) <=> (v117(constB81) | v122(constB81)))) | v116(constB81) | (~(v117(constB81) | v122(constB81)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11249,plain,
% 6.55/4.76 (v116(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11248, 11247, 11245])).
% 6.55/4.76 tff(11250,plain,
% 6.55/4.76 ((v116(constB81) | v123(constB81)) | (~v116(constB81))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11251,plain,
% 6.55/4.76 (v116(constB81) | v123(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11250, 11249])).
% 6.55/4.76 tff(11252,plain,
% 6.55/4.76 ((~(v115(constB81) <=> (v116(constB81) | v123(constB81)))) | v115(constB81) | (~(v116(constB81) | v123(constB81)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11253,plain,
% 6.55/4.76 (v115(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11252, 11251, 11243])).
% 6.55/4.76 tff(11254,plain,
% 6.55/4.76 ((v115(constB81) | v124(constB81)) | (~v115(constB81))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11255,plain,
% 6.55/4.76 (v115(constB81) | v124(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11254, 11253])).
% 6.55/4.76 tff(11256,plain,
% 6.55/4.76 ((~(v114(constB81) <=> (v115(constB81) | v124(constB81)))) | v114(constB81) | (~(v115(constB81) | v124(constB81)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11257,plain,
% 6.55/4.76 (v114(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11256, 11255, 11241])).
% 6.55/4.76 tff(11258,plain,
% 6.55/4.76 ((v114(constB81) | v125(constB81)) | (~v114(constB81))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11259,plain,
% 6.55/4.76 (v114(constB81) | v125(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11258, 11257])).
% 6.55/4.76 tff(11260,plain,
% 6.55/4.76 ((~(v113(constB81) <=> (v114(constB81) | v125(constB81)))) | v113(constB81) | (~(v114(constB81) | v125(constB81)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11261,plain,
% 6.55/4.76 (v113(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11260, 11259, 11239])).
% 6.55/4.76 tff(11262,plain,
% 6.55/4.76 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB81)) <=> v111(constB81))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11263,plain,
% 6.55/4.76 ((~v126(constB81)) <=> v111(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11262, 4761])).
% 6.55/4.76 tff(11264,plain,
% 6.55/4.76 ((~((~v126(constB81)) <=> v111(constB81))) | v126(constB81) | v111(constB81)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11265,plain,
% 6.55/4.76 ((~((~v126(constB81)) <=> v111(constB81))) | v126(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11264, 1930])).
% 6.55/4.76 tff(11266,plain,
% 6.55/4.76 (v126(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11265, 11263])).
% 6.55/4.76 tff(11267,plain,
% 6.55/4.76 ((~((~v113(constB81)) | (~v126(constB81)))) | (~v113(constB81)) | (~v126(constB81))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11268,plain,
% 6.55/4.76 ((~((~v113(constB81)) | (~v126(constB81)))) | (~v113(constB81))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11267, 11266])).
% 6.55/4.76 tff(11269,plain,
% 6.55/4.76 (~((~v113(constB81)) | (~v126(constB81)))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11268, 11261])).
% 6.55/4.76 tff(11270,plain,
% 6.55/4.76 ((~(v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81)))))) | v112(constB81) | ((~v113(constB81)) | (~v126(constB81)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11271,plain,
% 6.55/4.76 (v112(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11270, 11269, 11237])).
% 6.55/4.76 tff(11272,plain,
% 6.55/4.76 ((v111(constB81) | v112(constB81)) | (~v112(constB81))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11273,plain,
% 6.55/4.76 (v111(constB81) | v112(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11272, 11271])).
% 6.55/4.76 tff(11274,plain,
% 6.55/4.76 ((~(v108(constB81) <=> (v111(constB81) | v112(constB81)))) | v108(constB81) | (~(v111(constB81) | v112(constB81)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11275,plain,
% 6.55/4.76 (v108(constB81)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11274, 11273, 11235])).
% 6.55/4.76 tff(11276,plain,
% 6.55/4.76 ((~(v110(constB82) <=> v108(constB81))) | v110(constB82) | (~v108(constB81))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11277,plain,
% 6.55/4.76 (v110(constB82)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11276, 11275, 11233])).
% 6.55/4.76 tff(11278,plain,
% 6.55/4.76 ((~((~v101(constB82)) | (~v110(constB82)))) | (~v101(constB82)) | (~v110(constB82))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11279,plain,
% 6.55/4.76 (~((~v101(constB82)) | (~v110(constB82)))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11278, 11277, 11229])).
% 6.55/4.76 tff(11280,plain,
% 6.55/4.76 ((~(v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82)))))) | v100(constB82) | ((~v101(constB82)) | (~v110(constB82)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11281,plain,
% 6.55/4.76 (v100(constB82)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11280, 11279, 11201])).
% 6.55/4.76 tff(11282,plain,
% 6.55/4.76 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB82)) | (~(((~v90(constB82, 0)) <=> v129(constB82, 0)) | ((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB82)) | (~(((~v90(constB82, 0)) <=> v129(constB82, 0)) | ((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1)))))),
% 6.55/4.76 inference(rewrite,[status(thm)],[])).
% 6.55/4.76 tff(11283,plain,
% 6.55/4.76 (((~v100(constB82)) | (~(((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1)) | ((~v90(constB82, 0)) <=> v129(constB82, 0))))) <=> ((~v100(constB82)) | (~(((~v90(constB82, 0)) <=> v129(constB82, 0)) | ((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1)))))),
% 6.55/4.76 inference(rewrite,[status(thm)],[])).
% 6.55/4.76 tff(11284,plain,
% 6.55/4.76 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB82)) | (~(((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1)) | ((~v90(constB82, 0)) <=> v129(constB82, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB82)) | (~(((~v90(constB82, 0)) <=> v129(constB82, 0)) | ((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1))))))),
% 6.55/4.76 inference(monotonicity,[status(thm)],[11283])).
% 6.55/4.76 tff(11285,plain,
% 6.55/4.76 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB82)) | (~(((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1)) | ((~v90(constB82, 0)) <=> v129(constB82, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB82)) | (~(((~v90(constB82, 0)) <=> v129(constB82, 0)) | ((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1)))))),
% 6.55/4.76 inference(transitivity,[status(thm)],[11284, 11282])).
% 6.55/4.76 tff(11286,plain,
% 6.55/4.76 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB82)) | (~(((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1)) | ((~v90(constB82, 0)) <=> v129(constB82, 0)))))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11287,plain,
% 6.55/4.76 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB82)) | (~(((~v90(constB82, 0)) <=> v129(constB82, 0)) | ((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1))))),
% 6.55/4.76 inference(modus_ponens,[status(thm)],[11286, 11285])).
% 6.55/4.76 tff(11288,plain,
% 6.55/4.76 ((~v100(constB82)) | (~(((~v90(constB82, 0)) <=> v129(constB82, 0)) | ((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1))))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11287, 4794])).
% 6.55/4.76 tff(11289,plain,
% 6.55/4.76 (~(((~v90(constB82, 0)) <=> v129(constB82, 0)) | ((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1)))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11288, 11281])).
% 6.55/4.76 tff(11290,plain,
% 6.55/4.76 ((((~v90(constB82, 0)) <=> v129(constB82, 0)) | ((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1))) | (~((~v90(constB82, 2)) <=> v129(constB82, 2)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11291,plain,
% 6.55/4.76 (~((~v90(constB82, 2)) <=> v129(constB82, 2))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11290, 11289])).
% 6.55/4.76 tff(11292,plain,
% 6.55/4.76 (((~v90(constB82, 2)) <=> v129(constB82, 2)) | v90(constB82, 2) | (~v129(constB82, 2))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11293,plain,
% 6.55/4.76 (v90(constB82, 2)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11292, 11291, 11197])).
% 6.55/4.76 tff(11294,plain,
% 6.55/4.76 (((~v90(constB83, 2)) <=> v90(constB82, 2)) | v90(constB83, 2) | (~v90(constB82, 2))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11295,plain,
% 6.55/4.76 (v90(constB83, 2)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11294, 11293, 1914])).
% 6.55/4.76 tff(11296,plain,
% 6.55/4.76 ((((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 0)) <=> v90(constB82, 0))) | (~((~v90(constB83, 0)) <=> v90(constB82, 0)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11297,plain,
% 6.55/4.76 (~((~v90(constB83, 0)) <=> v90(constB82, 0))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11296, 1912])).
% 6.55/4.76 tff(11298,plain,
% 6.55/4.76 ((((~v129(constB82, 2)) <=> v127(constB81, 2)) | ((~v129(constB82, 1)) <=> v127(constB81, 1)) | ((~v129(constB82, 0)) <=> v127(constB81, 0))) | (~((~v129(constB82, 0)) <=> v127(constB81, 0)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11299,plain,
% 6.55/4.76 (~((~v129(constB82, 0)) <=> v127(constB81, 0))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11298, 1921])).
% 6.55/4.76 tff(11300,plain,
% 6.55/4.76 ((((~v127(constB81, 2)) <=> v130(constB81, 2)) | ((~v127(constB81, 1)) <=> v130(constB81, 1)) | ((~v127(constB81, 0)) <=> v130(constB81, 0))) | (~((~v127(constB81, 0)) <=> v130(constB81, 0)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11301,plain,
% 6.55/4.76 (~((~v127(constB81, 0)) <=> v130(constB81, 0))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11300, 1935])).
% 6.55/4.76 tff(11302,plain,
% 6.55/4.76 ((v130(constB81, 1) | v130(constB81, 0) | (~v130(constB81, 2))) | (~v130(constB81, 0))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11303,plain,
% 6.55/4.76 (~v130(constB81, 0)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11302, 11191])).
% 6.55/4.76 tff(11304,plain,
% 6.55/4.76 (((~v127(constB81, 0)) <=> v130(constB81, 0)) | (~v127(constB81, 0)) | v130(constB81, 0)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11305,plain,
% 6.55/4.76 (~v127(constB81, 0)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11304, 11303, 11301])).
% 6.55/4.76 tff(11306,plain,
% 6.55/4.76 (((~v129(constB82, 0)) <=> v127(constB81, 0)) | (~v129(constB82, 0)) | v127(constB81, 0)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11307,plain,
% 6.55/4.76 (~v129(constB82, 0)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11306, 11305, 11299])).
% 6.55/4.76 tff(11308,plain,
% 6.55/4.76 ((((~v90(constB82, 0)) <=> v129(constB82, 0)) | ((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1))) | (~((~v90(constB82, 0)) <=> v129(constB82, 0)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11309,plain,
% 6.55/4.76 (~((~v90(constB82, 0)) <=> v129(constB82, 0))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11308, 11289])).
% 6.55/4.76 tff(11310,plain,
% 6.55/4.76 (((~v90(constB82, 0)) <=> v129(constB82, 0)) | (~v90(constB82, 0)) | v129(constB82, 0)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11311,plain,
% 6.55/4.76 (~v90(constB82, 0)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11310, 11309, 11307])).
% 6.55/4.76 tff(11312,plain,
% 6.55/4.76 (((~v90(constB83, 0)) <=> v90(constB82, 0)) | (~v90(constB83, 0)) | v90(constB82, 0)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11313,plain,
% 6.55/4.76 (~v90(constB83, 0)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11312, 11311, 11297])).
% 6.55/4.76 tff(11314,plain,
% 6.55/4.76 ((((~v90(constB83, 1)) <=> v90(constB82, 1)) | ((~v90(constB83, 2)) <=> v90(constB82, 2)) | ((~v90(constB83, 0)) <=> v90(constB82, 0))) | (~((~v90(constB83, 1)) <=> v90(constB82, 1)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11315,plain,
% 6.55/4.76 (~((~v90(constB83, 1)) <=> v90(constB82, 1))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11314, 1912])).
% 6.55/4.76 tff(11316,plain,
% 6.55/4.76 ((((~v129(constB82, 2)) <=> v127(constB81, 2)) | ((~v129(constB82, 1)) <=> v127(constB81, 1)) | ((~v129(constB82, 0)) <=> v127(constB81, 0))) | (~((~v129(constB82, 1)) <=> v127(constB81, 1)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11317,plain,
% 6.55/4.76 (~((~v129(constB82, 1)) <=> v127(constB81, 1))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11316, 1921])).
% 6.55/4.76 tff(11318,plain,
% 6.55/4.76 ((((~v127(constB81, 2)) <=> v130(constB81, 2)) | ((~v127(constB81, 1)) <=> v130(constB81, 1)) | ((~v127(constB81, 0)) <=> v130(constB81, 0))) | (~((~v127(constB81, 1)) <=> v130(constB81, 1)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11319,plain,
% 6.55/4.76 (~((~v127(constB81, 1)) <=> v130(constB81, 1))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11318, 1935])).
% 6.55/4.76 tff(11320,plain,
% 6.55/4.76 ((v130(constB81, 1) | v130(constB81, 0) | (~v130(constB81, 2))) | (~v130(constB81, 1))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11321,plain,
% 6.55/4.76 (~v130(constB81, 1)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11320, 11191])).
% 6.55/4.76 tff(11322,plain,
% 6.55/4.76 (((~v127(constB81, 1)) <=> v130(constB81, 1)) | (~v127(constB81, 1)) | v130(constB81, 1)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11323,plain,
% 6.55/4.76 (~v127(constB81, 1)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11322, 11321, 11319])).
% 6.55/4.76 tff(11324,plain,
% 6.55/4.76 (((~v129(constB82, 1)) <=> v127(constB81, 1)) | (~v129(constB82, 1)) | v127(constB81, 1)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11325,plain,
% 6.55/4.76 (~v129(constB82, 1)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11324, 11323, 11317])).
% 6.55/4.76 tff(11326,plain,
% 6.55/4.76 ((((~v90(constB82, 0)) <=> v129(constB82, 0)) | ((~v90(constB82, 2)) <=> v129(constB82, 2)) | ((~v90(constB82, 1)) <=> v129(constB82, 1))) | (~((~v90(constB82, 1)) <=> v129(constB82, 1)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11327,plain,
% 6.55/4.76 (~((~v90(constB82, 1)) <=> v129(constB82, 1))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11326, 11289])).
% 6.55/4.76 tff(11328,plain,
% 6.55/4.76 (((~v90(constB82, 1)) <=> v129(constB82, 1)) | (~v90(constB82, 1)) | v129(constB82, 1)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11329,plain,
% 6.55/4.76 (~v90(constB82, 1)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11328, 11327, 11325])).
% 6.55/4.76 tff(11330,plain,
% 6.55/4.76 (((~v90(constB83, 1)) <=> v90(constB82, 1)) | (~v90(constB83, 1)) | v90(constB82, 1)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11331,plain,
% 6.55/4.76 (~v90(constB83, 1)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11330, 11329, 11315])).
% 6.55/4.76 tff(11332,plain,
% 6.55/4.76 ((~(v90(constB83, 1) | v90(constB83, 0) | (~v90(constB83, 2)))) | v90(constB83, 1) | v90(constB83, 0) | (~v90(constB83, 2))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11333,plain,
% 6.55/4.76 (~(v90(constB83, 1) | v90(constB83, 0) | (~v90(constB83, 2)))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11332, 11331, 11313, 11295])).
% 6.55/4.76 tff(11334,plain,
% 6.55/4.76 ((~(v123(constB83) <=> (~(v90(constB83, 1) | v90(constB83, 0) | (~v90(constB83, 2)))))) | v123(constB83) | (v90(constB83, 1) | v90(constB83, 0) | (~v90(constB83, 2)))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11335,plain,
% 6.55/4.76 (v123(constB83)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11334, 11333, 1878])).
% 6.55/4.76 tff(11336,plain,
% 6.55/4.76 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB83)) | (~(v130(constB83, 0) | (~v130(constB83, 2)) | (~v130(constB83, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB83)) | (~(v130(constB83, 0) | (~v130(constB83, 2)) | (~v130(constB83, 1)))))),
% 6.55/4.76 inference(rewrite,[status(thm)],[])).
% 6.55/4.76 tff(11337,plain,
% 6.55/4.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB83)) | (~(v130(constB83, 0) | (~v130(constB83, 2)) | (~v130(constB83, 1)))))),
% 6.55/4.76 inference(quant_inst,[status(thm)],[])).
% 6.55/4.76 tff(11338,plain,
% 6.55/4.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB83)) | (~(v130(constB83, 0) | (~v130(constB83, 2)) | (~v130(constB83, 1))))),
% 6.55/4.76 inference(modus_ponens,[status(thm)],[11337, 11336])).
% 6.55/4.76 tff(11339,plain,
% 6.55/4.76 ((~v123(constB83)) | (~(v130(constB83, 0) | (~v130(constB83, 2)) | (~v130(constB83, 1))))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11338, 4861])).
% 6.55/4.76 tff(11340,plain,
% 6.55/4.76 (~(v130(constB83, 0) | (~v130(constB83, 2)) | (~v130(constB83, 1)))),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11339, 11335])).
% 6.55/4.76 tff(11341,plain,
% 6.55/4.76 ((v130(constB83, 0) | (~v130(constB83, 2)) | (~v130(constB83, 1))) | v130(constB83, 2)),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11342,plain,
% 6.55/4.76 (v130(constB83, 2)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11341, 11340])).
% 6.55/4.76 tff(11343,plain,
% 6.55/4.76 (((~v127(constB83, 2)) <=> v130(constB83, 2)) | v127(constB83, 2) | (~v130(constB83, 2))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11344,plain,
% 6.55/4.76 (v127(constB83, 2)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11343, 11342, 1871])).
% 6.55/4.76 tff(11345,plain,
% 6.55/4.76 (((~v129(constB84, 2)) <=> v127(constB83, 2)) | v129(constB84, 2) | (~v127(constB83, 2))),
% 6.55/4.76 inference(tautology,[status(thm)],[])).
% 6.55/4.76 tff(11346,plain,
% 6.55/4.76 (v129(constB84, 2)),
% 6.55/4.76 inference(unit_resolution,[status(thm)],[11345, 11344, 1857])).
% 6.55/4.76 tff(11347,plain,
% 6.55/4.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11348,plain,
% 6.55/4.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11349,plain,
% 6.55/4.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84)))))),
% 6.55/4.77 inference(modus_ponens,[status(thm)],[11348, 11347])).
% 6.55/4.77 tff(11350,plain,
% 6.55/4.77 (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11349, 1851, 273])).
% 6.55/4.77 tff(11351,plain,
% 6.55/4.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11352,plain,
% 6.55/4.77 (((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84)))))) <=> ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11353,plain,
% 6.55/4.77 (((~![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) <=> (~((~v1(constB84)) | (~v102(constB84)))))))),
% 6.55/4.77 inference(monotonicity,[status(thm)],[11352])).
% 6.55/4.77 tff(11354,plain,
% 6.55/4.77 (((~![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) <=> (~((~v1(constB84)) | (~v102(constB84))))))),
% 6.55/4.77 inference(transitivity,[status(thm)],[11353, 11351])).
% 6.55/4.77 tff(11355,plain,
% 6.55/4.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84))))))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11356,plain,
% 6.55/4.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84)))))),
% 6.55/4.77 inference(modus_ponens,[status(thm)],[11355, 11354])).
% 6.55/4.77 tff(11357,plain,
% 6.55/4.77 (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11356, 1851, 293])).
% 6.55/4.77 tff(11358,plain,
% 6.55/4.77 (((~![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)))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11359,plain,
% 6.55/4.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84)))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11360,plain,
% 6.55/4.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84))),
% 6.55/4.77 inference(modus_ponens,[status(thm)],[11359, 11358])).
% 6.55/4.77 tff(11361,plain,
% 6.55/4.77 ((~v102(constB84)) <=> v104(constB84)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11360, 1851, 4609])).
% 6.55/4.77 tff(11362,plain,
% 6.55/4.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83)))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11363,plain,
% 6.55/4.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83)))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11364,plain,
% 6.55/4.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83))),
% 6.55/4.77 inference(modus_ponens,[status(thm)],[11363, 11362])).
% 6.55/4.77 tff(11365,plain,
% 6.55/4.77 (v104(constB84) <=> v1(constB83)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11364, 1851, 4623])).
% 6.55/4.77 tff(11366,plain,
% 6.55/4.77 ((~(v104(constB84) <=> v1(constB83))) | (~v104(constB84)) | v1(constB83)),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11367,plain,
% 6.55/4.77 ((~(v104(constB84) <=> v1(constB83))) | (~v104(constB84))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11366, 1895])).
% 6.55/4.77 tff(11368,plain,
% 6.55/4.77 (~v104(constB84)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11367, 11365])).
% 6.55/4.77 tff(11369,plain,
% 6.55/4.77 ((~((~v102(constB84)) <=> v104(constB84))) | v102(constB84) | v104(constB84)),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11370,plain,
% 6.55/4.77 (v102(constB84)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11369, 11368, 11361])).
% 6.55/4.77 tff(11371,plain,
% 6.55/4.77 (v1(constB84) <=> v1(constB84)),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11372,axiom,(v1(constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_84')).
% 6.55/4.77 tff(11373,plain,
% 6.55/4.77 (v1(constB84)),
% 6.55/4.77 inference(modus_ponens,[status(thm)],[11372, 11371])).
% 6.55/4.77 tff(11374,plain,
% 6.55/4.77 ((~((~v1(constB84)) | (~v102(constB84)))) | (~v1(constB84)) | (~v102(constB84))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11375,plain,
% 6.55/4.77 ((~((~v1(constB84)) | (~v102(constB84)))) | (~v102(constB84))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11374, 11373])).
% 6.55/4.77 tff(11376,plain,
% 6.55/4.77 (~((~v1(constB84)) | (~v102(constB84)))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11375, 11370])).
% 6.55/4.77 tff(11377,plain,
% 6.55/4.77 ((~(v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84)))))) | v101(constB84) | ((~v1(constB84)) | (~v102(constB84)))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11378,plain,
% 6.55/4.77 (v101(constB84)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11377, 11376, 11357])).
% 6.55/4.77 tff(11379,plain,
% 6.55/4.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83)))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11380,plain,
% 6.55/4.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83)))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11381,plain,
% 6.55/4.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83))),
% 6.55/4.77 inference(modus_ponens,[status(thm)],[11380, 11379])).
% 6.55/4.77 tff(11382,plain,
% 6.55/4.77 (v110(constB84) <=> v108(constB83)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11381, 1851, 4650])).
% 6.55/4.77 tff(11383,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB83) <=> (v111(constB83) | v112(constB83)))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11384,plain,
% 6.55/4.77 (v108(constB83) <=> (v111(constB83) | v112(constB83))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11383, 4661])).
% 6.55/4.77 tff(11385,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83)))))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11386,plain,
% 6.55/4.77 (v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83))))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11385, 4673])).
% 6.55/4.77 tff(11387,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB83) <=> (v114(constB83) | v125(constB83)))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11388,plain,
% 6.55/4.77 (v113(constB83) <=> (v114(constB83) | v125(constB83))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11387, 4682])).
% 6.55/4.77 tff(11389,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB83) <=> (v115(constB83) | v124(constB83)))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11390,plain,
% 6.55/4.77 (v114(constB83) <=> (v115(constB83) | v124(constB83))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11389, 4691])).
% 6.55/4.77 tff(11391,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB83) <=> (v116(constB83) | v123(constB83)))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11392,plain,
% 6.55/4.77 (v115(constB83) <=> (v116(constB83) | v123(constB83))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11391, 4700])).
% 6.55/4.77 tff(11393,plain,
% 6.55/4.77 ((v116(constB83) | v123(constB83)) | (~v123(constB83))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11394,plain,
% 6.55/4.77 (v116(constB83) | v123(constB83)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11393, 11335])).
% 6.55/4.77 tff(11395,plain,
% 6.55/4.77 ((~(v115(constB83) <=> (v116(constB83) | v123(constB83)))) | v115(constB83) | (~(v116(constB83) | v123(constB83)))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11396,plain,
% 6.55/4.77 (v115(constB83)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11395, 11394, 11392])).
% 6.55/4.77 tff(11397,plain,
% 6.55/4.77 ((v115(constB83) | v124(constB83)) | (~v115(constB83))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11398,plain,
% 6.55/4.77 (v115(constB83) | v124(constB83)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11397, 11396])).
% 6.55/4.77 tff(11399,plain,
% 6.55/4.77 ((~(v114(constB83) <=> (v115(constB83) | v124(constB83)))) | v114(constB83) | (~(v115(constB83) | v124(constB83)))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11400,plain,
% 6.55/4.77 (v114(constB83)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11399, 11398, 11390])).
% 6.55/4.77 tff(11401,plain,
% 6.55/4.77 ((v114(constB83) | v125(constB83)) | (~v114(constB83))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11402,plain,
% 6.55/4.77 (v114(constB83) | v125(constB83)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11401, 11400])).
% 6.55/4.77 tff(11403,plain,
% 6.55/4.77 ((~(v113(constB83) <=> (v114(constB83) | v125(constB83)))) | v113(constB83) | (~(v114(constB83) | v125(constB83)))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11404,plain,
% 6.55/4.77 (v113(constB83)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11403, 11402, 11388])).
% 6.55/4.77 tff(11405,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB83)) <=> v111(constB83))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11406,plain,
% 6.55/4.77 ((~v126(constB83)) <=> v111(constB83)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11405, 4761])).
% 6.55/4.77 tff(11407,plain,
% 6.55/4.77 ((~((~v126(constB83)) <=> v111(constB83))) | v126(constB83) | v111(constB83)),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11408,plain,
% 6.55/4.77 ((~((~v126(constB83)) <=> v111(constB83))) | v126(constB83)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11407, 1864])).
% 6.55/4.77 tff(11409,plain,
% 6.55/4.77 (v126(constB83)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11408, 11406])).
% 6.55/4.77 tff(11410,plain,
% 6.55/4.77 ((~((~v113(constB83)) | (~v126(constB83)))) | (~v113(constB83)) | (~v126(constB83))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11411,plain,
% 6.55/4.77 ((~((~v113(constB83)) | (~v126(constB83)))) | (~v113(constB83))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11410, 11409])).
% 6.55/4.77 tff(11412,plain,
% 6.55/4.77 (~((~v113(constB83)) | (~v126(constB83)))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11411, 11404])).
% 6.55/4.77 tff(11413,plain,
% 6.55/4.77 ((~(v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83)))))) | v112(constB83) | ((~v113(constB83)) | (~v126(constB83)))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11414,plain,
% 6.55/4.77 (v112(constB83)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11413, 11412, 11386])).
% 6.55/4.77 tff(11415,plain,
% 6.55/4.77 ((v111(constB83) | v112(constB83)) | (~v112(constB83))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11416,plain,
% 6.55/4.77 (v111(constB83) | v112(constB83)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11415, 11414])).
% 6.55/4.77 tff(11417,plain,
% 6.55/4.77 ((~(v108(constB83) <=> (v111(constB83) | v112(constB83)))) | v108(constB83) | (~(v111(constB83) | v112(constB83)))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11418,plain,
% 6.55/4.77 (v108(constB83)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11417, 11416, 11384])).
% 6.55/4.77 tff(11419,plain,
% 6.55/4.77 ((~(v110(constB84) <=> v108(constB83))) | v110(constB84) | (~v108(constB83))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11420,plain,
% 6.55/4.77 (v110(constB84)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11419, 11418, 11382])).
% 6.55/4.77 tff(11421,plain,
% 6.55/4.77 ((~((~v101(constB84)) | (~v110(constB84)))) | (~v101(constB84)) | (~v110(constB84))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11422,plain,
% 6.55/4.77 (~((~v101(constB84)) | (~v110(constB84)))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11421, 11420, 11378])).
% 6.55/4.77 tff(11423,plain,
% 6.55/4.77 ((~(v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84)))))) | v100(constB84) | ((~v101(constB84)) | (~v110(constB84)))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11424,plain,
% 6.55/4.77 (v100(constB84)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11423, 11422, 11350])).
% 6.55/4.77 tff(11425,plain,
% 6.55/4.77 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB84)) | (~(((~v90(constB84, 2)) <=> v129(constB84, 2)) | ((~v90(constB84, 1)) <=> v129(constB84, 1)) | ((~v90(constB84, 0)) <=> v129(constB84, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB84)) | (~(((~v90(constB84, 2)) <=> v129(constB84, 2)) | ((~v90(constB84, 1)) <=> v129(constB84, 1)) | ((~v90(constB84, 0)) <=> v129(constB84, 0)))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11426,plain,
% 6.55/4.77 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB84)) | (~(((~v90(constB84, 2)) <=> v129(constB84, 2)) | ((~v90(constB84, 1)) <=> v129(constB84, 1)) | ((~v90(constB84, 0)) <=> v129(constB84, 0)))))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11427,plain,
% 6.55/4.77 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB84)) | (~(((~v90(constB84, 2)) <=> v129(constB84, 2)) | ((~v90(constB84, 1)) <=> v129(constB84, 1)) | ((~v90(constB84, 0)) <=> v129(constB84, 0))))),
% 6.55/4.77 inference(modus_ponens,[status(thm)],[11426, 11425])).
% 6.55/4.77 tff(11428,plain,
% 6.55/4.77 ((~v100(constB84)) | (~(((~v90(constB84, 2)) <=> v129(constB84, 2)) | ((~v90(constB84, 1)) <=> v129(constB84, 1)) | ((~v90(constB84, 0)) <=> v129(constB84, 0))))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11427, 4794])).
% 6.55/4.77 tff(11429,plain,
% 6.55/4.77 (~(((~v90(constB84, 2)) <=> v129(constB84, 2)) | ((~v90(constB84, 1)) <=> v129(constB84, 1)) | ((~v90(constB84, 0)) <=> v129(constB84, 0)))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11428, 11424])).
% 6.55/4.77 tff(11430,plain,
% 6.55/4.77 ((((~v90(constB84, 2)) <=> v129(constB84, 2)) | ((~v90(constB84, 1)) <=> v129(constB84, 1)) | ((~v90(constB84, 0)) <=> v129(constB84, 0))) | (~((~v90(constB84, 2)) <=> v129(constB84, 2)))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11431,plain,
% 6.55/4.77 (~((~v90(constB84, 2)) <=> v129(constB84, 2))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11430, 11429])).
% 6.55/4.77 tff(11432,plain,
% 6.55/4.77 (((~v90(constB84, 2)) <=> v129(constB84, 2)) | v90(constB84, 2) | (~v129(constB84, 2))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11433,plain,
% 6.55/4.77 (v90(constB84, 2)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11432, 11431, 11346])).
% 6.55/4.77 tff(11434,plain,
% 6.55/4.77 (((~v90(constB85, 2)) <=> v90(constB84, 2)) | v90(constB85, 2) | (~v90(constB84, 2))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11435,plain,
% 6.55/4.77 (v90(constB85, 2)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11434, 11433, 1848])).
% 6.55/4.77 tff(11436,plain,
% 6.55/4.77 ((v90(constB85, 0) | v90(constB85, 1) | v90(constB85, 2)) | (~v90(constB85, 2))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11437,plain,
% 6.55/4.77 (v90(constB85, 0) | v90(constB85, 1) | v90(constB85, 2)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11436, 11435])).
% 6.55/4.77 tff(11438,plain,
% 6.55/4.77 ((~(v119(constB85) <=> (~(v90(constB85, 0) | v90(constB85, 1) | v90(constB85, 2))))) | (~v119(constB85)) | (~(v90(constB85, 0) | v90(constB85, 1) | v90(constB85, 2)))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11439,plain,
% 6.55/4.77 (~v119(constB85)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11438, 11437, 1812])).
% 6.55/4.77 tff(11440,plain,
% 6.55/4.77 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB85) <=> (~(v90(constB85, 1) | (~v90(constB85, 2)) | (~v90(constB85, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB85) <=> (~(v90(constB85, 1) | (~v90(constB85, 2)) | (~v90(constB85, 0))))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11441,plain,
% 6.55/4.77 ((v124(constB85) <=> (~(v90(constB85, 1) | (~v90(constB85, 0)) | (~v90(constB85, 2))))) <=> (v124(constB85) <=> (~(v90(constB85, 1) | (~v90(constB85, 2)) | (~v90(constB85, 0)))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11442,plain,
% 6.55/4.77 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB85) <=> (~(v90(constB85, 1) | (~v90(constB85, 0)) | (~v90(constB85, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB85) <=> (~(v90(constB85, 1) | (~v90(constB85, 2)) | (~v90(constB85, 0))))))),
% 6.55/4.77 inference(monotonicity,[status(thm)],[11441])).
% 6.55/4.77 tff(11443,plain,
% 6.55/4.77 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB85) <=> (~(v90(constB85, 1) | (~v90(constB85, 0)) | (~v90(constB85, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB85) <=> (~(v90(constB85, 1) | (~v90(constB85, 2)) | (~v90(constB85, 0))))))),
% 6.55/4.77 inference(transitivity,[status(thm)],[11442, 11440])).
% 6.55/4.77 tff(11444,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB85) <=> (~(v90(constB85, 1) | (~v90(constB85, 0)) | (~v90(constB85, 2)))))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11445,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB85) <=> (~(v90(constB85, 1) | (~v90(constB85, 2)) | (~v90(constB85, 0)))))),
% 6.55/4.77 inference(modus_ponens,[status(thm)],[11444, 11443])).
% 6.55/4.77 tff(11446,plain,
% 6.55/4.77 (v124(constB85) <=> (~(v90(constB85, 1) | (~v90(constB85, 2)) | (~v90(constB85, 0))))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11445, 4978])).
% 6.55/4.77 tff(11447,plain,
% 6.55/4.77 ((((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 0)) <=> v90(constB84, 0))) | (~((~v90(constB85, 1)) <=> v90(constB84, 1)))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11448,plain,
% 6.55/4.77 (~((~v90(constB85, 1)) <=> v90(constB84, 1))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11447, 1846])).
% 6.55/4.77 tff(11449,plain,
% 6.55/4.77 ((((~v129(constB84, 2)) <=> v127(constB83, 2)) | ((~v129(constB84, 1)) <=> v127(constB83, 1)) | ((~v129(constB84, 0)) <=> v127(constB83, 0))) | (~((~v129(constB84, 1)) <=> v127(constB83, 1)))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11450,plain,
% 6.55/4.77 (~((~v129(constB84, 1)) <=> v127(constB83, 1))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11449, 1855])).
% 6.55/4.77 tff(11451,plain,
% 6.55/4.77 ((((~v127(constB83, 2)) <=> v130(constB83, 2)) | ((~v127(constB83, 1)) <=> v130(constB83, 1)) | ((~v127(constB83, 0)) <=> v130(constB83, 0))) | (~((~v127(constB83, 1)) <=> v130(constB83, 1)))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11452,plain,
% 6.55/4.77 (~((~v127(constB83, 1)) <=> v130(constB83, 1))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11451, 1869])).
% 6.55/4.77 tff(11453,plain,
% 6.55/4.77 ((v130(constB83, 0) | (~v130(constB83, 2)) | (~v130(constB83, 1))) | v130(constB83, 1)),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11454,plain,
% 6.55/4.77 (v130(constB83, 1)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11453, 11340])).
% 6.55/4.77 tff(11455,plain,
% 6.55/4.77 (((~v127(constB83, 1)) <=> v130(constB83, 1)) | v127(constB83, 1) | (~v130(constB83, 1))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11456,plain,
% 6.55/4.77 (v127(constB83, 1)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11455, 11454, 11452])).
% 6.55/4.77 tff(11457,plain,
% 6.55/4.77 (((~v129(constB84, 1)) <=> v127(constB83, 1)) | v129(constB84, 1) | (~v127(constB83, 1))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11458,plain,
% 6.55/4.77 (v129(constB84, 1)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11457, 11456, 11450])).
% 6.55/4.77 tff(11459,plain,
% 6.55/4.77 ((((~v90(constB84, 2)) <=> v129(constB84, 2)) | ((~v90(constB84, 1)) <=> v129(constB84, 1)) | ((~v90(constB84, 0)) <=> v129(constB84, 0))) | (~((~v90(constB84, 1)) <=> v129(constB84, 1)))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11460,plain,
% 6.55/4.77 (~((~v90(constB84, 1)) <=> v129(constB84, 1))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11459, 11429])).
% 6.55/4.77 tff(11461,plain,
% 6.55/4.77 (((~v90(constB84, 1)) <=> v129(constB84, 1)) | v90(constB84, 1) | (~v129(constB84, 1))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11462,plain,
% 6.55/4.77 (v90(constB84, 1)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11461, 11460, 11458])).
% 6.55/4.77 tff(11463,plain,
% 6.55/4.77 (((~v90(constB85, 1)) <=> v90(constB84, 1)) | v90(constB85, 1) | (~v90(constB84, 1))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11464,plain,
% 6.55/4.77 (v90(constB85, 1)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11463, 11462, 11448])).
% 6.55/4.77 tff(11465,plain,
% 6.55/4.77 ((v90(constB85, 1) | (~v90(constB85, 2)) | (~v90(constB85, 0))) | (~v90(constB85, 1))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11466,plain,
% 6.55/4.77 (v90(constB85, 1) | (~v90(constB85, 2)) | (~v90(constB85, 0))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11465, 11464])).
% 6.55/4.77 tff(11467,plain,
% 6.55/4.77 ((~(v124(constB85) <=> (~(v90(constB85, 1) | (~v90(constB85, 2)) | (~v90(constB85, 0)))))) | (~v124(constB85)) | (~(v90(constB85, 1) | (~v90(constB85, 2)) | (~v90(constB85, 0))))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11468,plain,
% 6.55/4.77 (~v124(constB85)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11467, 11466, 11446])).
% 6.55/4.77 tff(11469,plain,
% 6.55/4.77 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB85) <=> (~(v90(constB85, 1) | v90(constB85, 0) | (~v90(constB85, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB85) <=> (~(v90(constB85, 1) | v90(constB85, 0) | (~v90(constB85, 2))))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11470,plain,
% 6.55/4.77 ((v123(constB85) <=> (~(v90(constB85, 0) | v90(constB85, 1) | (~v90(constB85, 2))))) <=> (v123(constB85) <=> (~(v90(constB85, 1) | v90(constB85, 0) | (~v90(constB85, 2)))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11471,plain,
% 6.55/4.77 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB85) <=> (~(v90(constB85, 0) | v90(constB85, 1) | (~v90(constB85, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB85) <=> (~(v90(constB85, 1) | v90(constB85, 0) | (~v90(constB85, 2))))))),
% 6.55/4.77 inference(monotonicity,[status(thm)],[11470])).
% 6.55/4.77 tff(11472,plain,
% 6.55/4.77 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB85) <=> (~(v90(constB85, 0) | v90(constB85, 1) | (~v90(constB85, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB85) <=> (~(v90(constB85, 1) | v90(constB85, 0) | (~v90(constB85, 2))))))),
% 6.55/4.77 inference(transitivity,[status(thm)],[11471, 11469])).
% 6.55/4.77 tff(11473,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB85) <=> (~(v90(constB85, 0) | v90(constB85, 1) | (~v90(constB85, 2)))))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11474,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB85) <=> (~(v90(constB85, 1) | v90(constB85, 0) | (~v90(constB85, 2)))))),
% 6.55/4.77 inference(modus_ponens,[status(thm)],[11473, 11472])).
% 6.55/4.77 tff(11475,plain,
% 6.55/4.77 (v123(constB85) <=> (~(v90(constB85, 1) | v90(constB85, 0) | (~v90(constB85, 2))))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11474, 565])).
% 6.55/4.77 tff(11476,plain,
% 6.55/4.77 ((v90(constB85, 1) | v90(constB85, 0) | (~v90(constB85, 2))) | (~v90(constB85, 1))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11477,plain,
% 6.55/4.77 (v90(constB85, 1) | v90(constB85, 0) | (~v90(constB85, 2))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11476, 11464])).
% 6.55/4.77 tff(11478,plain,
% 6.55/4.77 ((~(v123(constB85) <=> (~(v90(constB85, 1) | v90(constB85, 0) | (~v90(constB85, 2)))))) | (~v123(constB85)) | (~(v90(constB85, 1) | v90(constB85, 0) | (~v90(constB85, 2))))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11479,plain,
% 6.55/4.77 (~v123(constB85)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11478, 11477, 11475])).
% 6.55/4.77 tff(11480,plain,
% 6.55/4.77 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB85) <=> (~(v90(constB85, 2) | (~v90(constB85, 1)) | (~v90(constB85, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB85) <=> (~(v90(constB85, 2) | (~v90(constB85, 1)) | (~v90(constB85, 0))))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11481,plain,
% 6.55/4.77 ((v122(constB85) <=> (~(v90(constB85, 2) | (~v90(constB85, 0)) | (~v90(constB85, 1))))) <=> (v122(constB85) <=> (~(v90(constB85, 2) | (~v90(constB85, 1)) | (~v90(constB85, 0)))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11482,plain,
% 6.55/4.77 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB85) <=> (~(v90(constB85, 2) | (~v90(constB85, 0)) | (~v90(constB85, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB85) <=> (~(v90(constB85, 2) | (~v90(constB85, 1)) | (~v90(constB85, 0))))))),
% 6.55/4.77 inference(monotonicity,[status(thm)],[11481])).
% 6.55/4.77 tff(11483,plain,
% 6.55/4.77 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB85) <=> (~(v90(constB85, 2) | (~v90(constB85, 0)) | (~v90(constB85, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB85) <=> (~(v90(constB85, 2) | (~v90(constB85, 1)) | (~v90(constB85, 0))))))),
% 6.55/4.77 inference(transitivity,[status(thm)],[11482, 11480])).
% 6.55/4.77 tff(11484,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB85) <=> (~(v90(constB85, 2) | (~v90(constB85, 0)) | (~v90(constB85, 1)))))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11485,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB85) <=> (~(v90(constB85, 2) | (~v90(constB85, 1)) | (~v90(constB85, 0)))))),
% 6.55/4.77 inference(modus_ponens,[status(thm)],[11484, 11483])).
% 6.55/4.77 tff(11486,plain,
% 6.55/4.77 (v122(constB85) <=> (~(v90(constB85, 2) | (~v90(constB85, 1)) | (~v90(constB85, 0))))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11485, 644])).
% 6.55/4.77 tff(11487,plain,
% 6.55/4.77 ((v90(constB85, 2) | (~v90(constB85, 1)) | (~v90(constB85, 0))) | (~v90(constB85, 2))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11488,plain,
% 6.55/4.77 (v90(constB85, 2) | (~v90(constB85, 1)) | (~v90(constB85, 0))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11487, 11435])).
% 6.55/4.77 tff(11489,plain,
% 6.55/4.77 ((~(v122(constB85) <=> (~(v90(constB85, 2) | (~v90(constB85, 1)) | (~v90(constB85, 0)))))) | (~v122(constB85)) | (~(v90(constB85, 2) | (~v90(constB85, 1)) | (~v90(constB85, 0))))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11490,plain,
% 6.55/4.77 (~v122(constB85)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11489, 11488, 11486])).
% 6.55/4.77 tff(11491,plain,
% 6.55/4.77 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB85) <=> (~(v90(constB85, 2) | v90(constB85, 0) | (~v90(constB85, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB85) <=> (~(v90(constB85, 2) | v90(constB85, 0) | (~v90(constB85, 1))))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11492,plain,
% 6.55/4.77 ((v121(constB85) <=> (~(v90(constB85, 0) | v90(constB85, 2) | (~v90(constB85, 1))))) <=> (v121(constB85) <=> (~(v90(constB85, 2) | v90(constB85, 0) | (~v90(constB85, 1)))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11493,plain,
% 6.55/4.77 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB85) <=> (~(v90(constB85, 0) | v90(constB85, 2) | (~v90(constB85, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB85) <=> (~(v90(constB85, 2) | v90(constB85, 0) | (~v90(constB85, 1))))))),
% 6.55/4.77 inference(monotonicity,[status(thm)],[11492])).
% 6.55/4.77 tff(11494,plain,
% 6.55/4.77 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB85) <=> (~(v90(constB85, 0) | v90(constB85, 2) | (~v90(constB85, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB85) <=> (~(v90(constB85, 2) | v90(constB85, 0) | (~v90(constB85, 1))))))),
% 6.55/4.77 inference(transitivity,[status(thm)],[11493, 11491])).
% 6.55/4.77 tff(11495,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB85) <=> (~(v90(constB85, 0) | v90(constB85, 2) | (~v90(constB85, 1)))))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11496,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB85) <=> (~(v90(constB85, 2) | v90(constB85, 0) | (~v90(constB85, 1)))))),
% 6.55/4.77 inference(modus_ponens,[status(thm)],[11495, 11494])).
% 6.55/4.77 tff(11497,plain,
% 6.55/4.77 (v121(constB85) <=> (~(v90(constB85, 2) | v90(constB85, 0) | (~v90(constB85, 1))))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11496, 723])).
% 6.55/4.77 tff(11498,plain,
% 6.55/4.77 ((v90(constB85, 2) | v90(constB85, 0) | (~v90(constB85, 1))) | (~v90(constB85, 2))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11499,plain,
% 6.55/4.77 (v90(constB85, 2) | v90(constB85, 0) | (~v90(constB85, 1))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11498, 11435])).
% 6.55/4.77 tff(11500,plain,
% 6.55/4.77 ((~(v121(constB85) <=> (~(v90(constB85, 2) | v90(constB85, 0) | (~v90(constB85, 1)))))) | (~v121(constB85)) | (~(v90(constB85, 2) | v90(constB85, 0) | (~v90(constB85, 1))))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11501,plain,
% 6.55/4.77 (~v121(constB85)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11500, 11499, 11497])).
% 6.55/4.77 tff(11502,plain,
% 6.55/4.77 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB85) <=> (~(v90(constB85, 1) | v90(constB85, 2) | (~v90(constB85, 0)))))),
% 6.55/4.77 inference(quant_inst,[status(thm)],[])).
% 6.55/4.77 tff(11503,plain,
% 6.55/4.77 (v120(constB85) <=> (~(v90(constB85, 1) | v90(constB85, 2) | (~v90(constB85, 0))))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11502, 417])).
% 6.55/4.77 tff(11504,plain,
% 6.55/4.77 ((v90(constB85, 1) | v90(constB85, 2) | (~v90(constB85, 0))) | (~v90(constB85, 2))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11505,plain,
% 6.55/4.77 (v90(constB85, 1) | v90(constB85, 2) | (~v90(constB85, 0))),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11504, 11435])).
% 6.55/4.77 tff(11506,plain,
% 6.55/4.77 ((~(v120(constB85) <=> (~(v90(constB85, 1) | v90(constB85, 2) | (~v90(constB85, 0)))))) | (~v120(constB85)) | (~(v90(constB85, 1) | v90(constB85, 2) | (~v90(constB85, 0))))),
% 6.55/4.77 inference(tautology,[status(thm)],[])).
% 6.55/4.77 tff(11507,plain,
% 6.55/4.77 (~v120(constB85)),
% 6.55/4.77 inference(unit_resolution,[status(thm)],[11506, 11505, 11503])).
% 6.55/4.77 tff(11508,plain,
% 6.55/4.77 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0)))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11509,plain,
% 6.55/4.77 ((v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~(v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0))))) <=> (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0)))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11510,plain,
% 6.55/4.77 ((~(v130(constB85, 1) | v130(constB85, 2) | (~v130(constB85, 0)))) <=> (~(v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0))))),
% 6.55/4.77 inference(rewrite,[status(thm)],[])).
% 6.55/4.77 tff(11511,plain,
% 6.55/4.77 ((v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~(v130(constB85, 1) | v130(constB85, 2) | (~v130(constB85, 0))))) <=> (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~(v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0)))))),
% 6.55/4.77 inference(monotonicity,[status(thm)],[11510])).
% 6.55/4.77 tff(11512,plain,
% 6.55/4.77 ((v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~(v130(constB85, 1) | v130(constB85, 2) | (~v130(constB85, 0))))) <=> (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0)))))),
% 6.55/4.78 inference(transitivity,[status(thm)],[11511, 11509])).
% 6.55/4.78 tff(11513,plain,
% 6.55/4.78 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~(v130(constB85, 1) | v130(constB85, 2) | (~v130(constB85, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0))))))),
% 6.55/4.78 inference(monotonicity,[status(thm)],[11512])).
% 6.55/4.78 tff(11514,plain,
% 6.55/4.78 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~(v130(constB85, 1) | v130(constB85, 2) | (~v130(constB85, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0)))))),
% 6.55/4.78 inference(transitivity,[status(thm)],[11513, 11508])).
% 6.55/4.78 tff(11515,plain,
% 6.55/4.78 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~(v130(constB85, 1) | v130(constB85, 2) | (~v130(constB85, 0)))))),
% 6.55/4.78 inference(quant_inst,[status(thm)],[])).
% 6.55/4.78 tff(11516,plain,
% 6.55/4.78 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0))))),
% 6.55/4.78 inference(modus_ponens,[status(thm)],[11515, 11514])).
% 6.55/4.78 tff(11517,plain,
% 6.55/4.78 (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0))))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11516, 5059])).
% 6.55/4.78 tff(11518,plain,
% 6.55/4.78 (~(v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0)))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11517, 11507, 11501, 11490, 11479, 11468, 11439])).
% 6.55/4.78 tff(11519,plain,
% 6.55/4.78 ((v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0))) | (~v130(constB85, 2))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11520,plain,
% 6.55/4.78 (~v130(constB85, 2)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11519, 11518])).
% 6.55/4.78 tff(11521,plain,
% 6.55/4.78 (((~v127(constB85, 2)) <=> v130(constB85, 2)) | (~v127(constB85, 2)) | v130(constB85, 2)),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11522,plain,
% 6.55/4.78 (~v127(constB85, 2)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11521, 11520, 1810])).
% 6.55/4.78 tff(11523,plain,
% 6.55/4.78 (((~v129(constB86, 2)) <=> v127(constB85, 2)) | (~v129(constB86, 2)) | v127(constB85, 2)),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11524,plain,
% 6.55/4.78 (~v129(constB86, 2)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11523, 11522, 1796])).
% 6.55/4.78 tff(11525,plain,
% 6.55/4.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))))),
% 6.55/4.78 inference(rewrite,[status(thm)],[])).
% 6.55/4.78 tff(11526,plain,
% 6.55/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))))),
% 6.55/4.78 inference(quant_inst,[status(thm)],[])).
% 6.55/4.78 tff(11527,plain,
% 6.55/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86)))))),
% 6.55/4.78 inference(modus_ponens,[status(thm)],[11526, 11525])).
% 6.55/4.78 tff(11528,plain,
% 6.55/4.78 (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11527, 1790, 273])).
% 6.55/4.78 tff(11529,plain,
% 6.55/4.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))),
% 6.55/4.78 inference(rewrite,[status(thm)],[])).
% 6.55/4.78 tff(11530,plain,
% 6.55/4.78 (((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86)))))) <=> ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))),
% 6.55/4.78 inference(rewrite,[status(thm)],[])).
% 6.55/4.78 tff(11531,plain,
% 6.55/4.78 (((~![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) <=> (~((~v1(constB86)) | (~v102(constB86)))))))),
% 6.55/4.78 inference(monotonicity,[status(thm)],[11530])).
% 6.55/4.78 tff(11532,plain,
% 6.55/4.78 (((~![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) <=> (~((~v1(constB86)) | (~v102(constB86))))))),
% 6.55/4.78 inference(transitivity,[status(thm)],[11531, 11529])).
% 6.55/4.78 tff(11533,plain,
% 6.55/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86))))))),
% 6.55/4.78 inference(quant_inst,[status(thm)],[])).
% 6.55/4.78 tff(11534,plain,
% 6.55/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86)))))),
% 6.55/4.78 inference(modus_ponens,[status(thm)],[11533, 11532])).
% 6.55/4.78 tff(11535,plain,
% 6.55/4.78 (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11534, 1790, 293])).
% 6.55/4.78 tff(11536,plain,
% 6.55/4.78 (((~![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)))),
% 6.55/4.78 inference(rewrite,[status(thm)],[])).
% 6.55/4.78 tff(11537,plain,
% 6.55/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86)))),
% 6.55/4.78 inference(quant_inst,[status(thm)],[])).
% 6.55/4.78 tff(11538,plain,
% 6.55/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86))),
% 6.55/4.78 inference(modus_ponens,[status(thm)],[11537, 11536])).
% 6.55/4.78 tff(11539,plain,
% 6.55/4.78 ((~v102(constB86)) <=> v104(constB86)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11538, 1790, 4609])).
% 6.55/4.78 tff(11540,plain,
% 6.55/4.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85)))),
% 6.55/4.78 inference(rewrite,[status(thm)],[])).
% 6.55/4.78 tff(11541,plain,
% 6.55/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85)))),
% 6.55/4.78 inference(quant_inst,[status(thm)],[])).
% 6.55/4.78 tff(11542,plain,
% 6.55/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85))),
% 6.55/4.78 inference(modus_ponens,[status(thm)],[11541, 11540])).
% 6.55/4.78 tff(11543,plain,
% 6.55/4.78 (v104(constB86) <=> v1(constB85)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11542, 1790, 4623])).
% 6.55/4.78 tff(11544,plain,
% 6.55/4.78 ((~(v104(constB86) <=> v1(constB85))) | (~v104(constB86)) | v1(constB85)),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11545,plain,
% 6.55/4.78 ((~(v104(constB86) <=> v1(constB85))) | (~v104(constB86))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11544, 1829])).
% 6.55/4.78 tff(11546,plain,
% 6.55/4.78 (~v104(constB86)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11545, 11543])).
% 6.55/4.78 tff(11547,plain,
% 6.55/4.78 ((~((~v102(constB86)) <=> v104(constB86))) | v102(constB86) | v104(constB86)),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11548,plain,
% 6.55/4.78 (v102(constB86)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11547, 11546, 11539])).
% 6.55/4.78 tff(11549,plain,
% 6.55/4.78 (v1(constB86) <=> v1(constB86)),
% 6.55/4.78 inference(rewrite,[status(thm)],[])).
% 6.55/4.78 tff(11550,axiom,(v1(constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_86')).
% 6.55/4.78 tff(11551,plain,
% 6.55/4.78 (v1(constB86)),
% 6.55/4.78 inference(modus_ponens,[status(thm)],[11550, 11549])).
% 6.55/4.78 tff(11552,plain,
% 6.55/4.78 ((~((~v1(constB86)) | (~v102(constB86)))) | (~v1(constB86)) | (~v102(constB86))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11553,plain,
% 6.55/4.78 ((~((~v1(constB86)) | (~v102(constB86)))) | (~v102(constB86))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11552, 11551])).
% 6.55/4.78 tff(11554,plain,
% 6.55/4.78 (~((~v1(constB86)) | (~v102(constB86)))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11553, 11548])).
% 6.55/4.78 tff(11555,plain,
% 6.55/4.78 ((~(v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86)))))) | v101(constB86) | ((~v1(constB86)) | (~v102(constB86)))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11556,plain,
% 6.55/4.78 (v101(constB86)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11555, 11554, 11535])).
% 6.55/4.78 tff(11557,plain,
% 6.55/4.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85)))),
% 6.55/4.78 inference(rewrite,[status(thm)],[])).
% 6.55/4.78 tff(11558,plain,
% 6.55/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85)))),
% 6.55/4.78 inference(quant_inst,[status(thm)],[])).
% 6.55/4.78 tff(11559,plain,
% 6.55/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85))),
% 6.55/4.78 inference(modus_ponens,[status(thm)],[11558, 11557])).
% 6.55/4.78 tff(11560,plain,
% 6.55/4.78 (v110(constB86) <=> v108(constB85)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11559, 1790, 4650])).
% 6.55/4.78 tff(11561,plain,
% 6.55/4.78 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB85) <=> (v111(constB85) | v112(constB85)))),
% 6.55/4.78 inference(quant_inst,[status(thm)],[])).
% 6.55/4.78 tff(11562,plain,
% 6.55/4.78 (v108(constB85) <=> (v111(constB85) | v112(constB85))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11561, 4661])).
% 6.55/4.78 tff(11563,plain,
% 6.55/4.78 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85)))))),
% 6.55/4.78 inference(quant_inst,[status(thm)],[])).
% 6.55/4.78 tff(11564,plain,
% 6.55/4.78 (v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85))))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11563, 4673])).
% 6.55/4.78 tff(11565,plain,
% 6.55/4.78 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB85) <=> (v114(constB85) | v125(constB85)))),
% 6.55/4.78 inference(quant_inst,[status(thm)],[])).
% 6.55/4.78 tff(11566,plain,
% 6.55/4.78 (v113(constB85) <=> (v114(constB85) | v125(constB85))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11565, 4682])).
% 6.55/4.78 tff(11567,plain,
% 6.55/4.78 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB85) <=> (~(v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)))))),
% 6.55/4.78 inference(quant_inst,[status(thm)],[])).
% 6.55/4.78 tff(11568,plain,
% 6.55/4.78 (v125(constB85) <=> (~(v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2))))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11567, 5131])).
% 6.55/4.78 tff(11569,plain,
% 6.55/4.78 ((((~v90(constB85, 1)) <=> v90(constB84, 1)) | ((~v90(constB85, 2)) <=> v90(constB84, 2)) | ((~v90(constB85, 0)) <=> v90(constB84, 0))) | (~((~v90(constB85, 0)) <=> v90(constB84, 0)))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11570,plain,
% 6.55/4.78 (~((~v90(constB85, 0)) <=> v90(constB84, 0))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11569, 1846])).
% 6.55/4.78 tff(11571,plain,
% 6.55/4.78 ((((~v129(constB84, 2)) <=> v127(constB83, 2)) | ((~v129(constB84, 1)) <=> v127(constB83, 1)) | ((~v129(constB84, 0)) <=> v127(constB83, 0))) | (~((~v129(constB84, 0)) <=> v127(constB83, 0)))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11572,plain,
% 6.55/4.78 (~((~v129(constB84, 0)) <=> v127(constB83, 0))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11571, 1855])).
% 6.55/4.78 tff(11573,plain,
% 6.55/4.78 ((((~v127(constB83, 2)) <=> v130(constB83, 2)) | ((~v127(constB83, 1)) <=> v130(constB83, 1)) | ((~v127(constB83, 0)) <=> v130(constB83, 0))) | (~((~v127(constB83, 0)) <=> v130(constB83, 0)))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11574,plain,
% 6.55/4.78 (~((~v127(constB83, 0)) <=> v130(constB83, 0))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11573, 1869])).
% 6.55/4.78 tff(11575,plain,
% 6.55/4.78 ((v130(constB83, 0) | (~v130(constB83, 2)) | (~v130(constB83, 1))) | (~v130(constB83, 0))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11576,plain,
% 6.55/4.78 (~v130(constB83, 0)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11575, 11340])).
% 6.55/4.78 tff(11577,plain,
% 6.55/4.78 (((~v127(constB83, 0)) <=> v130(constB83, 0)) | (~v127(constB83, 0)) | v130(constB83, 0)),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11578,plain,
% 6.55/4.78 (~v127(constB83, 0)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11577, 11576, 11574])).
% 6.55/4.78 tff(11579,plain,
% 6.55/4.78 (((~v129(constB84, 0)) <=> v127(constB83, 0)) | (~v129(constB84, 0)) | v127(constB83, 0)),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11580,plain,
% 6.55/4.78 (~v129(constB84, 0)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11579, 11578, 11572])).
% 6.55/4.78 tff(11581,plain,
% 6.55/4.78 ((((~v90(constB84, 2)) <=> v129(constB84, 2)) | ((~v90(constB84, 1)) <=> v129(constB84, 1)) | ((~v90(constB84, 0)) <=> v129(constB84, 0))) | (~((~v90(constB84, 0)) <=> v129(constB84, 0)))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11582,plain,
% 6.55/4.78 (~((~v90(constB84, 0)) <=> v129(constB84, 0))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11581, 11429])).
% 6.55/4.78 tff(11583,plain,
% 6.55/4.78 (((~v90(constB84, 0)) <=> v129(constB84, 0)) | (~v90(constB84, 0)) | v129(constB84, 0)),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11584,plain,
% 6.55/4.78 (~v90(constB84, 0)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11583, 11582, 11580])).
% 6.55/4.78 tff(11585,plain,
% 6.55/4.78 (((~v90(constB85, 0)) <=> v90(constB84, 0)) | (~v90(constB85, 0)) | v90(constB84, 0)),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11586,plain,
% 6.55/4.78 (~v90(constB85, 0)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11585, 11584, 11570])).
% 6.55/4.78 tff(11587,plain,
% 6.55/4.78 ((~(v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)))) | v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11588,plain,
% 6.55/4.78 (~(v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11587, 11464, 11586, 11435])).
% 6.55/4.78 tff(11589,plain,
% 6.55/4.78 ((~(v125(constB85) <=> (~(v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)))))) | v125(constB85) | (v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11590,plain,
% 6.55/4.78 (v125(constB85)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11589, 11588, 11568])).
% 6.55/4.78 tff(11591,plain,
% 6.55/4.78 ((v114(constB85) | v125(constB85)) | (~v125(constB85))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11592,plain,
% 6.55/4.78 (v114(constB85) | v125(constB85)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11591, 11590])).
% 6.55/4.78 tff(11593,plain,
% 6.55/4.78 ((~(v113(constB85) <=> (v114(constB85) | v125(constB85)))) | v113(constB85) | (~(v114(constB85) | v125(constB85)))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11594,plain,
% 6.55/4.78 (v113(constB85)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11593, 11592, 11566])).
% 6.55/4.78 tff(11595,plain,
% 6.55/4.78 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB85)) <=> v111(constB85))),
% 6.55/4.78 inference(quant_inst,[status(thm)],[])).
% 6.55/4.78 tff(11596,plain,
% 6.55/4.78 ((~v126(constB85)) <=> v111(constB85)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11595, 4761])).
% 6.55/4.78 tff(11597,plain,
% 6.55/4.78 ((~((~v126(constB85)) <=> v111(constB85))) | v126(constB85) | v111(constB85)),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11598,plain,
% 6.55/4.78 ((~((~v126(constB85)) <=> v111(constB85))) | v126(constB85)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11597, 1803])).
% 6.55/4.78 tff(11599,plain,
% 6.55/4.78 (v126(constB85)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11598, 11596])).
% 6.55/4.78 tff(11600,plain,
% 6.55/4.78 ((~((~v113(constB85)) | (~v126(constB85)))) | (~v113(constB85)) | (~v126(constB85))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11601,plain,
% 6.55/4.78 ((~((~v113(constB85)) | (~v126(constB85)))) | (~v113(constB85))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11600, 11599])).
% 6.55/4.78 tff(11602,plain,
% 6.55/4.78 (~((~v113(constB85)) | (~v126(constB85)))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11601, 11594])).
% 6.55/4.78 tff(11603,plain,
% 6.55/4.78 ((~(v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85)))))) | v112(constB85) | ((~v113(constB85)) | (~v126(constB85)))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11604,plain,
% 6.55/4.78 (v112(constB85)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11603, 11602, 11564])).
% 6.55/4.78 tff(11605,plain,
% 6.55/4.78 ((v111(constB85) | v112(constB85)) | (~v112(constB85))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11606,plain,
% 6.55/4.78 (v111(constB85) | v112(constB85)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11605, 11604])).
% 6.55/4.78 tff(11607,plain,
% 6.55/4.78 ((~(v108(constB85) <=> (v111(constB85) | v112(constB85)))) | v108(constB85) | (~(v111(constB85) | v112(constB85)))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11608,plain,
% 6.55/4.78 (v108(constB85)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11607, 11606, 11562])).
% 6.55/4.78 tff(11609,plain,
% 6.55/4.78 ((~(v110(constB86) <=> v108(constB85))) | v110(constB86) | (~v108(constB85))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11610,plain,
% 6.55/4.78 (v110(constB86)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11609, 11608, 11560])).
% 6.55/4.78 tff(11611,plain,
% 6.55/4.78 ((~((~v101(constB86)) | (~v110(constB86)))) | (~v101(constB86)) | (~v110(constB86))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11612,plain,
% 6.55/4.78 (~((~v101(constB86)) | (~v110(constB86)))),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11611, 11610, 11556])).
% 6.55/4.78 tff(11613,plain,
% 6.55/4.78 ((~(v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86)))))) | v100(constB86) | ((~v101(constB86)) | (~v110(constB86)))),
% 6.55/4.78 inference(tautology,[status(thm)],[])).
% 6.55/4.78 tff(11614,plain,
% 6.55/4.78 (v100(constB86)),
% 6.55/4.78 inference(unit_resolution,[status(thm)],[11613, 11612, 11528])).
% 6.55/4.78 tff(11615,plain,
% 6.55/4.78 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB86)) | (~(((~v90(constB86, 0)) <=> v129(constB86, 0)) | ((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB86)) | (~(((~v90(constB86, 0)) <=> v129(constB86, 0)) | ((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1)))))),
% 6.55/4.78 inference(rewrite,[status(thm)],[])).
% 6.55/4.78 tff(11616,plain,
% 6.55/4.78 (((~v100(constB86)) | (~(((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1)) | ((~v90(constB86, 0)) <=> v129(constB86, 0))))) <=> ((~v100(constB86)) | (~(((~v90(constB86, 0)) <=> v129(constB86, 0)) | ((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1)))))),
% 6.55/4.78 inference(rewrite,[status(thm)],[])).
% 6.55/4.78 tff(11617,plain,
% 6.55/4.78 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB86)) | (~(((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1)) | ((~v90(constB86, 0)) <=> v129(constB86, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB86)) | (~(((~v90(constB86, 0)) <=> v129(constB86, 0)) | ((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1))))))),
% 6.55/4.78 inference(monotonicity,[status(thm)],[11616])).
% 6.55/4.78 tff(11618,plain,
% 6.55/4.78 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB86)) | (~(((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1)) | ((~v90(constB86, 0)) <=> v129(constB86, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB86)) | (~(((~v90(constB86, 0)) <=> v129(constB86, 0)) | ((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1)))))),
% 6.55/4.78 inference(transitivity,[status(thm)],[11617, 11615])).
% 6.55/4.78 tff(11619,plain,
% 6.55/4.78 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB86)) | (~(((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1)) | ((~v90(constB86, 0)) <=> v129(constB86, 0)))))),
% 6.60/4.78 inference(quant_inst,[status(thm)],[])).
% 6.60/4.78 tff(11620,plain,
% 6.60/4.78 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB86)) | (~(((~v90(constB86, 0)) <=> v129(constB86, 0)) | ((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1))))),
% 6.60/4.78 inference(modus_ponens,[status(thm)],[11619, 11618])).
% 6.60/4.78 tff(11621,plain,
% 6.60/4.78 ((~v100(constB86)) | (~(((~v90(constB86, 0)) <=> v129(constB86, 0)) | ((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1))))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11620, 4794])).
% 6.60/4.78 tff(11622,plain,
% 6.60/4.78 (~(((~v90(constB86, 0)) <=> v129(constB86, 0)) | ((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1)))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11621, 11614])).
% 6.60/4.78 tff(11623,plain,
% 6.60/4.78 ((((~v90(constB86, 0)) <=> v129(constB86, 0)) | ((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1))) | (~((~v90(constB86, 2)) <=> v129(constB86, 2)))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11624,plain,
% 6.60/4.78 (~((~v90(constB86, 2)) <=> v129(constB86, 2))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11623, 11622])).
% 6.60/4.78 tff(11625,plain,
% 6.60/4.78 (((~v90(constB86, 2)) <=> v129(constB86, 2)) | (~v90(constB86, 2)) | v129(constB86, 2)),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11626,plain,
% 6.60/4.78 (~v90(constB86, 2)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11625, 11624, 11524])).
% 6.60/4.78 tff(11627,plain,
% 6.60/4.78 (((~v90(constB87, 2)) <=> v90(constB86, 2)) | (~v90(constB87, 2)) | v90(constB86, 2)),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11628,plain,
% 6.60/4.78 (~v90(constB87, 2)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11627, 11626, 1787])).
% 6.60/4.78 tff(11629,plain,
% 6.60/4.78 ((((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 0)) <=> v90(constB86, 0))) | (~((~v90(constB87, 0)) <=> v90(constB86, 0)))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11630,plain,
% 6.60/4.78 (~((~v90(constB87, 0)) <=> v90(constB86, 0))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11629, 1785])).
% 6.60/4.78 tff(11631,plain,
% 6.60/4.78 ((((~v129(constB86, 2)) <=> v127(constB85, 2)) | ((~v129(constB86, 1)) <=> v127(constB85, 1)) | ((~v129(constB86, 0)) <=> v127(constB85, 0))) | (~((~v129(constB86, 0)) <=> v127(constB85, 0)))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11632,plain,
% 6.60/4.78 (~((~v129(constB86, 0)) <=> v127(constB85, 0))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11631, 1794])).
% 6.60/4.78 tff(11633,plain,
% 6.60/4.78 ((((~v127(constB85, 2)) <=> v130(constB85, 2)) | ((~v127(constB85, 1)) <=> v130(constB85, 1)) | ((~v127(constB85, 0)) <=> v130(constB85, 0))) | (~((~v127(constB85, 0)) <=> v130(constB85, 0)))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11634,plain,
% 6.60/4.78 (~((~v127(constB85, 0)) <=> v130(constB85, 0))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11633, 1808])).
% 6.60/4.78 tff(11635,plain,
% 6.60/4.78 ((v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0))) | v130(constB85, 0)),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11636,plain,
% 6.60/4.78 (v130(constB85, 0)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11635, 11518])).
% 6.60/4.78 tff(11637,plain,
% 6.60/4.78 (((~v127(constB85, 0)) <=> v130(constB85, 0)) | v127(constB85, 0) | (~v130(constB85, 0))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11638,plain,
% 6.60/4.78 (v127(constB85, 0)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11637, 11636, 11634])).
% 6.60/4.78 tff(11639,plain,
% 6.60/4.78 (((~v129(constB86, 0)) <=> v127(constB85, 0)) | v129(constB86, 0) | (~v127(constB85, 0))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11640,plain,
% 6.60/4.78 (v129(constB86, 0)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11639, 11638, 11632])).
% 6.60/4.78 tff(11641,plain,
% 6.60/4.78 ((((~v90(constB86, 0)) <=> v129(constB86, 0)) | ((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1))) | (~((~v90(constB86, 0)) <=> v129(constB86, 0)))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11642,plain,
% 6.60/4.78 (~((~v90(constB86, 0)) <=> v129(constB86, 0))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11641, 11622])).
% 6.60/4.78 tff(11643,plain,
% 6.60/4.78 (((~v90(constB86, 0)) <=> v129(constB86, 0)) | v90(constB86, 0) | (~v129(constB86, 0))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11644,plain,
% 6.60/4.78 (v90(constB86, 0)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11643, 11642, 11640])).
% 6.60/4.78 tff(11645,plain,
% 6.60/4.78 (((~v90(constB87, 0)) <=> v90(constB86, 0)) | v90(constB87, 0) | (~v90(constB86, 0))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11646,plain,
% 6.60/4.78 (v90(constB87, 0)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11645, 11644, 11630])).
% 6.60/4.78 tff(11647,plain,
% 6.60/4.78 ((((~v90(constB87, 1)) <=> v90(constB86, 1)) | ((~v90(constB87, 2)) <=> v90(constB86, 2)) | ((~v90(constB87, 0)) <=> v90(constB86, 0))) | (~((~v90(constB87, 1)) <=> v90(constB86, 1)))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11648,plain,
% 6.60/4.78 (~((~v90(constB87, 1)) <=> v90(constB86, 1))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11647, 1785])).
% 6.60/4.78 tff(11649,plain,
% 6.60/4.78 ((((~v129(constB86, 2)) <=> v127(constB85, 2)) | ((~v129(constB86, 1)) <=> v127(constB85, 1)) | ((~v129(constB86, 0)) <=> v127(constB85, 0))) | (~((~v129(constB86, 1)) <=> v127(constB85, 1)))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11650,plain,
% 6.60/4.78 (~((~v129(constB86, 1)) <=> v127(constB85, 1))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11649, 1794])).
% 6.60/4.78 tff(11651,plain,
% 6.60/4.78 ((((~v127(constB85, 2)) <=> v130(constB85, 2)) | ((~v127(constB85, 1)) <=> v130(constB85, 1)) | ((~v127(constB85, 0)) <=> v130(constB85, 0))) | (~((~v127(constB85, 1)) <=> v130(constB85, 1)))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11652,plain,
% 6.60/4.78 (~((~v127(constB85, 1)) <=> v130(constB85, 1))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11651, 1808])).
% 6.60/4.78 tff(11653,plain,
% 6.60/4.78 ((v130(constB85, 2) | v130(constB85, 1) | (~v130(constB85, 0))) | (~v130(constB85, 1))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11654,plain,
% 6.60/4.78 (~v130(constB85, 1)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11653, 11518])).
% 6.60/4.78 tff(11655,plain,
% 6.60/4.78 (((~v127(constB85, 1)) <=> v130(constB85, 1)) | (~v127(constB85, 1)) | v130(constB85, 1)),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11656,plain,
% 6.60/4.78 (~v127(constB85, 1)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11655, 11654, 11652])).
% 6.60/4.78 tff(11657,plain,
% 6.60/4.78 (((~v129(constB86, 1)) <=> v127(constB85, 1)) | (~v129(constB86, 1)) | v127(constB85, 1)),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11658,plain,
% 6.60/4.78 (~v129(constB86, 1)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11657, 11656, 11650])).
% 6.60/4.78 tff(11659,plain,
% 6.60/4.78 ((((~v90(constB86, 0)) <=> v129(constB86, 0)) | ((~v90(constB86, 2)) <=> v129(constB86, 2)) | ((~v90(constB86, 1)) <=> v129(constB86, 1))) | (~((~v90(constB86, 1)) <=> v129(constB86, 1)))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11660,plain,
% 6.60/4.78 (~((~v90(constB86, 1)) <=> v129(constB86, 1))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11659, 11622])).
% 6.60/4.78 tff(11661,plain,
% 6.60/4.78 (((~v90(constB86, 1)) <=> v129(constB86, 1)) | (~v90(constB86, 1)) | v129(constB86, 1)),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11662,plain,
% 6.60/4.78 (~v90(constB86, 1)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11661, 11660, 11658])).
% 6.60/4.78 tff(11663,plain,
% 6.60/4.78 (((~v90(constB87, 1)) <=> v90(constB86, 1)) | (~v90(constB87, 1)) | v90(constB86, 1)),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11664,plain,
% 6.60/4.78 (~v90(constB87, 1)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11663, 11662, 11648])).
% 6.60/4.78 tff(11665,plain,
% 6.60/4.78 ((~(v90(constB87, 1) | v90(constB87, 2) | (~v90(constB87, 0)))) | v90(constB87, 1) | v90(constB87, 2) | (~v90(constB87, 0))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11666,plain,
% 6.60/4.78 (~(v90(constB87, 1) | v90(constB87, 2) | (~v90(constB87, 0)))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11665, 11664, 11646, 11628])).
% 6.60/4.78 tff(11667,plain,
% 6.60/4.78 ((~(v120(constB87) <=> (~(v90(constB87, 1) | v90(constB87, 2) | (~v90(constB87, 0)))))) | v120(constB87) | (v90(constB87, 1) | v90(constB87, 2) | (~v90(constB87, 0)))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11668,plain,
% 6.60/4.78 (v120(constB87)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11667, 11666, 1751])).
% 6.60/4.78 tff(11669,plain,
% 6.60/4.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB87)) | (~(v130(constB87, 2) | v130(constB87, 0) | (~v130(constB87, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB87)) | (~(v130(constB87, 2) | v130(constB87, 0) | (~v130(constB87, 1)))))),
% 6.60/4.78 inference(rewrite,[status(thm)],[])).
% 6.60/4.78 tff(11670,plain,
% 6.60/4.78 (((~v120(constB87)) | (~(v130(constB87, 0) | v130(constB87, 2) | (~v130(constB87, 1))))) <=> ((~v120(constB87)) | (~(v130(constB87, 2) | v130(constB87, 0) | (~v130(constB87, 1)))))),
% 6.60/4.78 inference(rewrite,[status(thm)],[])).
% 6.60/4.78 tff(11671,plain,
% 6.60/4.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB87)) | (~(v130(constB87, 0) | v130(constB87, 2) | (~v130(constB87, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB87)) | (~(v130(constB87, 2) | v130(constB87, 0) | (~v130(constB87, 1))))))),
% 6.60/4.78 inference(monotonicity,[status(thm)],[11670])).
% 6.60/4.78 tff(11672,plain,
% 6.60/4.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB87)) | (~(v130(constB87, 0) | v130(constB87, 2) | (~v130(constB87, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB87)) | (~(v130(constB87, 2) | v130(constB87, 0) | (~v130(constB87, 1)))))),
% 6.60/4.78 inference(transitivity,[status(thm)],[11671, 11669])).
% 6.60/4.78 tff(11673,plain,
% 6.60/4.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB87)) | (~(v130(constB87, 0) | v130(constB87, 2) | (~v130(constB87, 1)))))),
% 6.60/4.78 inference(quant_inst,[status(thm)],[])).
% 6.60/4.78 tff(11674,plain,
% 6.60/4.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB87)) | (~(v130(constB87, 2) | v130(constB87, 0) | (~v130(constB87, 1))))),
% 6.60/4.78 inference(modus_ponens,[status(thm)],[11673, 11672])).
% 6.60/4.78 tff(11675,plain,
% 6.60/4.78 ((~v120(constB87)) | (~(v130(constB87, 2) | v130(constB87, 0) | (~v130(constB87, 1))))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11674, 5246])).
% 6.60/4.78 tff(11676,plain,
% 6.60/4.78 (~(v130(constB87, 2) | v130(constB87, 0) | (~v130(constB87, 1)))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11675, 11668])).
% 6.60/4.78 tff(11677,plain,
% 6.60/4.78 ((v130(constB87, 2) | v130(constB87, 0) | (~v130(constB87, 1))) | (~v130(constB87, 2))),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11678,plain,
% 6.60/4.78 (~v130(constB87, 2)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11677, 11676])).
% 6.60/4.78 tff(11679,plain,
% 6.60/4.78 (((~v127(constB87, 2)) <=> v130(constB87, 2)) | (~v127(constB87, 2)) | v130(constB87, 2)),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11680,plain,
% 6.60/4.78 (~v127(constB87, 2)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11679, 11678, 1749])).
% 6.60/4.78 tff(11681,plain,
% 6.60/4.78 (((~v129(constB88, 2)) <=> v127(constB87, 2)) | (~v129(constB88, 2)) | v127(constB87, 2)),
% 6.60/4.78 inference(tautology,[status(thm)],[])).
% 6.60/4.78 tff(11682,plain,
% 6.60/4.78 (~v129(constB88, 2)),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11681, 11680, 1735])).
% 6.60/4.78 tff(11683,plain,
% 6.60/4.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))))),
% 6.60/4.78 inference(rewrite,[status(thm)],[])).
% 6.60/4.78 tff(11684,plain,
% 6.60/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))))),
% 6.60/4.78 inference(quant_inst,[status(thm)],[])).
% 6.60/4.78 tff(11685,plain,
% 6.60/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88)))))),
% 6.60/4.78 inference(modus_ponens,[status(thm)],[11684, 11683])).
% 6.60/4.78 tff(11686,plain,
% 6.60/4.78 (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11685, 1729, 273])).
% 6.60/4.78 tff(11687,plain,
% 6.60/4.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))),
% 6.60/4.78 inference(rewrite,[status(thm)],[])).
% 6.60/4.78 tff(11688,plain,
% 6.60/4.78 (((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88)))))) <=> ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))),
% 6.60/4.78 inference(rewrite,[status(thm)],[])).
% 6.60/4.78 tff(11689,plain,
% 6.60/4.78 (((~![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) <=> (~((~v1(constB88)) | (~v102(constB88)))))))),
% 6.60/4.78 inference(monotonicity,[status(thm)],[11688])).
% 6.60/4.78 tff(11690,plain,
% 6.60/4.78 (((~![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) <=> (~((~v1(constB88)) | (~v102(constB88))))))),
% 6.60/4.78 inference(transitivity,[status(thm)],[11689, 11687])).
% 6.60/4.78 tff(11691,plain,
% 6.60/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88))))))),
% 6.60/4.78 inference(quant_inst,[status(thm)],[])).
% 6.60/4.78 tff(11692,plain,
% 6.60/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88)))))),
% 6.60/4.78 inference(modus_ponens,[status(thm)],[11691, 11690])).
% 6.60/4.78 tff(11693,plain,
% 6.60/4.78 (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))),
% 6.60/4.78 inference(unit_resolution,[status(thm)],[11692, 1729, 293])).
% 6.60/4.78 tff(11694,plain,
% 6.60/4.78 (((~![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)))),
% 6.60/4.78 inference(rewrite,[status(thm)],[])).
% 6.60/4.78 tff(11695,plain,
% 6.60/4.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11696,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88))),
% 6.60/4.79 inference(modus_ponens,[status(thm)],[11695, 11694])).
% 6.60/4.79 tff(11697,plain,
% 6.60/4.79 ((~v102(constB88)) <=> v104(constB88)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11696, 1729, 4609])).
% 6.60/4.79 tff(11698,plain,
% 6.60/4.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87)))),
% 6.60/4.79 inference(rewrite,[status(thm)],[])).
% 6.60/4.79 tff(11699,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11700,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87))),
% 6.60/4.79 inference(modus_ponens,[status(thm)],[11699, 11698])).
% 6.60/4.79 tff(11701,plain,
% 6.60/4.79 (v104(constB88) <=> v1(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11700, 1729, 4623])).
% 6.60/4.79 tff(11702,plain,
% 6.60/4.79 ((~(v104(constB88) <=> v1(constB87))) | (~v104(constB88)) | v1(constB87)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11703,plain,
% 6.60/4.79 ((~(v104(constB88) <=> v1(constB87))) | (~v104(constB88))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11702, 1768])).
% 6.60/4.79 tff(11704,plain,
% 6.60/4.79 (~v104(constB88)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11703, 11701])).
% 6.60/4.79 tff(11705,plain,
% 6.60/4.79 ((~((~v102(constB88)) <=> v104(constB88))) | v102(constB88) | v104(constB88)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11706,plain,
% 6.60/4.79 (v102(constB88)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11705, 11704, 11697])).
% 6.60/4.79 tff(11707,plain,
% 6.60/4.79 (v1(constB88) <=> v1(constB88)),
% 6.60/4.79 inference(rewrite,[status(thm)],[])).
% 6.60/4.79 tff(11708,axiom,(v1(constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_88')).
% 6.60/4.79 tff(11709,plain,
% 6.60/4.79 (v1(constB88)),
% 6.60/4.79 inference(modus_ponens,[status(thm)],[11708, 11707])).
% 6.60/4.79 tff(11710,plain,
% 6.60/4.79 ((~((~v1(constB88)) | (~v102(constB88)))) | (~v1(constB88)) | (~v102(constB88))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11711,plain,
% 6.60/4.79 ((~((~v1(constB88)) | (~v102(constB88)))) | (~v102(constB88))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11710, 11709])).
% 6.60/4.79 tff(11712,plain,
% 6.60/4.79 (~((~v1(constB88)) | (~v102(constB88)))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11711, 11706])).
% 6.60/4.79 tff(11713,plain,
% 6.60/4.79 ((~(v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88)))))) | v101(constB88) | ((~v1(constB88)) | (~v102(constB88)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11714,plain,
% 6.60/4.79 (v101(constB88)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11713, 11712, 11693])).
% 6.60/4.79 tff(11715,plain,
% 6.60/4.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87)))),
% 6.60/4.79 inference(rewrite,[status(thm)],[])).
% 6.60/4.79 tff(11716,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11717,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87))),
% 6.60/4.79 inference(modus_ponens,[status(thm)],[11716, 11715])).
% 6.60/4.79 tff(11718,plain,
% 6.60/4.79 (v110(constB88) <=> v108(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11717, 1729, 4650])).
% 6.60/4.79 tff(11719,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB87) <=> (v111(constB87) | v112(constB87)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11720,plain,
% 6.60/4.79 (v108(constB87) <=> (v111(constB87) | v112(constB87))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11719, 4661])).
% 6.60/4.79 tff(11721,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87)))))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11722,plain,
% 6.60/4.79 (v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87))))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11721, 4673])).
% 6.60/4.79 tff(11723,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB87) <=> (v114(constB87) | v125(constB87)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11724,plain,
% 6.60/4.79 (v113(constB87) <=> (v114(constB87) | v125(constB87))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11723, 4682])).
% 6.60/4.79 tff(11725,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB87) <=> (v115(constB87) | v124(constB87)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11726,plain,
% 6.60/4.79 (v114(constB87) <=> (v115(constB87) | v124(constB87))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11725, 4691])).
% 6.60/4.79 tff(11727,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB87) <=> (v116(constB87) | v123(constB87)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11728,plain,
% 6.60/4.79 (v115(constB87) <=> (v116(constB87) | v123(constB87))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11727, 4700])).
% 6.60/4.79 tff(11729,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB87) <=> (v117(constB87) | v122(constB87)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11730,plain,
% 6.60/4.79 (v116(constB87) <=> (v117(constB87) | v122(constB87))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11729, 4709])).
% 6.60/4.79 tff(11731,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB87) <=> (v118(constB87) | v121(constB87)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11732,plain,
% 6.60/4.79 (v117(constB87) <=> (v118(constB87) | v121(constB87))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11731, 4718])).
% 6.60/4.79 tff(11733,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB87) <=> (v119(constB87) | v120(constB87)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11734,plain,
% 6.60/4.79 (v118(constB87) <=> (v119(constB87) | v120(constB87))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11733, 4727])).
% 6.60/4.79 tff(11735,plain,
% 6.60/4.79 ((v119(constB87) | v120(constB87)) | (~v120(constB87))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11736,plain,
% 6.60/4.79 (v119(constB87) | v120(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11735, 11668])).
% 6.60/4.79 tff(11737,plain,
% 6.60/4.79 ((~(v118(constB87) <=> (v119(constB87) | v120(constB87)))) | v118(constB87) | (~(v119(constB87) | v120(constB87)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11738,plain,
% 6.60/4.79 (v118(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11737, 11736, 11734])).
% 6.60/4.79 tff(11739,plain,
% 6.60/4.79 ((v118(constB87) | v121(constB87)) | (~v118(constB87))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11740,plain,
% 6.60/4.79 (v118(constB87) | v121(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11739, 11738])).
% 6.60/4.79 tff(11741,plain,
% 6.60/4.79 ((~(v117(constB87) <=> (v118(constB87) | v121(constB87)))) | v117(constB87) | (~(v118(constB87) | v121(constB87)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11742,plain,
% 6.60/4.79 (v117(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11741, 11740, 11732])).
% 6.60/4.79 tff(11743,plain,
% 6.60/4.79 ((v117(constB87) | v122(constB87)) | (~v117(constB87))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11744,plain,
% 6.60/4.79 (v117(constB87) | v122(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11743, 11742])).
% 6.60/4.79 tff(11745,plain,
% 6.60/4.79 ((~(v116(constB87) <=> (v117(constB87) | v122(constB87)))) | v116(constB87) | (~(v117(constB87) | v122(constB87)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11746,plain,
% 6.60/4.79 (v116(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11745, 11744, 11730])).
% 6.60/4.79 tff(11747,plain,
% 6.60/4.79 ((v116(constB87) | v123(constB87)) | (~v116(constB87))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11748,plain,
% 6.60/4.79 (v116(constB87) | v123(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11747, 11746])).
% 6.60/4.79 tff(11749,plain,
% 6.60/4.79 ((~(v115(constB87) <=> (v116(constB87) | v123(constB87)))) | v115(constB87) | (~(v116(constB87) | v123(constB87)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11750,plain,
% 6.60/4.79 (v115(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11749, 11748, 11728])).
% 6.60/4.79 tff(11751,plain,
% 6.60/4.79 ((v115(constB87) | v124(constB87)) | (~v115(constB87))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11752,plain,
% 6.60/4.79 (v115(constB87) | v124(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11751, 11750])).
% 6.60/4.79 tff(11753,plain,
% 6.60/4.79 ((~(v114(constB87) <=> (v115(constB87) | v124(constB87)))) | v114(constB87) | (~(v115(constB87) | v124(constB87)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11754,plain,
% 6.60/4.79 (v114(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11753, 11752, 11726])).
% 6.60/4.79 tff(11755,plain,
% 6.60/4.79 ((v114(constB87) | v125(constB87)) | (~v114(constB87))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11756,plain,
% 6.60/4.79 (v114(constB87) | v125(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11755, 11754])).
% 6.60/4.79 tff(11757,plain,
% 6.60/4.79 ((~(v113(constB87) <=> (v114(constB87) | v125(constB87)))) | v113(constB87) | (~(v114(constB87) | v125(constB87)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11758,plain,
% 6.60/4.79 (v113(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11757, 11756, 11724])).
% 6.60/4.79 tff(11759,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB87)) <=> v111(constB87))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11760,plain,
% 6.60/4.79 ((~v126(constB87)) <=> v111(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11759, 4761])).
% 6.60/4.79 tff(11761,plain,
% 6.60/4.79 ((~((~v126(constB87)) <=> v111(constB87))) | v126(constB87) | v111(constB87)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11762,plain,
% 6.60/4.79 ((~((~v126(constB87)) <=> v111(constB87))) | v126(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11761, 1742])).
% 6.60/4.79 tff(11763,plain,
% 6.60/4.79 (v126(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11762, 11760])).
% 6.60/4.79 tff(11764,plain,
% 6.60/4.79 ((~((~v113(constB87)) | (~v126(constB87)))) | (~v113(constB87)) | (~v126(constB87))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11765,plain,
% 6.60/4.79 ((~((~v113(constB87)) | (~v126(constB87)))) | (~v113(constB87))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11764, 11763])).
% 6.60/4.79 tff(11766,plain,
% 6.60/4.79 (~((~v113(constB87)) | (~v126(constB87)))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11765, 11758])).
% 6.60/4.79 tff(11767,plain,
% 6.60/4.79 ((~(v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87)))))) | v112(constB87) | ((~v113(constB87)) | (~v126(constB87)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11768,plain,
% 6.60/4.79 (v112(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11767, 11766, 11722])).
% 6.60/4.79 tff(11769,plain,
% 6.60/4.79 ((v111(constB87) | v112(constB87)) | (~v112(constB87))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11770,plain,
% 6.60/4.79 (v111(constB87) | v112(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11769, 11768])).
% 6.60/4.79 tff(11771,plain,
% 6.60/4.79 ((~(v108(constB87) <=> (v111(constB87) | v112(constB87)))) | v108(constB87) | (~(v111(constB87) | v112(constB87)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11772,plain,
% 6.60/4.79 (v108(constB87)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11771, 11770, 11720])).
% 6.60/4.79 tff(11773,plain,
% 6.60/4.79 ((~(v110(constB88) <=> v108(constB87))) | v110(constB88) | (~v108(constB87))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11774,plain,
% 6.60/4.79 (v110(constB88)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11773, 11772, 11718])).
% 6.60/4.79 tff(11775,plain,
% 6.60/4.79 ((~((~v101(constB88)) | (~v110(constB88)))) | (~v101(constB88)) | (~v110(constB88))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11776,plain,
% 6.60/4.79 (~((~v101(constB88)) | (~v110(constB88)))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11775, 11774, 11714])).
% 6.60/4.79 tff(11777,plain,
% 6.60/4.79 ((~(v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88)))))) | v100(constB88) | ((~v101(constB88)) | (~v110(constB88)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11778,plain,
% 6.60/4.79 (v100(constB88)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11777, 11776, 11686])).
% 6.60/4.79 tff(11779,plain,
% 6.60/4.79 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB88)) | (~(((~v90(constB88, 2)) <=> v129(constB88, 2)) | ((~v90(constB88, 1)) <=> v129(constB88, 1)) | ((~v90(constB88, 0)) <=> v129(constB88, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB88)) | (~(((~v90(constB88, 2)) <=> v129(constB88, 2)) | ((~v90(constB88, 1)) <=> v129(constB88, 1)) | ((~v90(constB88, 0)) <=> v129(constB88, 0)))))),
% 6.60/4.79 inference(rewrite,[status(thm)],[])).
% 6.60/4.79 tff(11780,plain,
% 6.60/4.79 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB88)) | (~(((~v90(constB88, 2)) <=> v129(constB88, 2)) | ((~v90(constB88, 1)) <=> v129(constB88, 1)) | ((~v90(constB88, 0)) <=> v129(constB88, 0)))))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11781,plain,
% 6.60/4.79 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB88)) | (~(((~v90(constB88, 2)) <=> v129(constB88, 2)) | ((~v90(constB88, 1)) <=> v129(constB88, 1)) | ((~v90(constB88, 0)) <=> v129(constB88, 0))))),
% 6.60/4.79 inference(modus_ponens,[status(thm)],[11780, 11779])).
% 6.60/4.79 tff(11782,plain,
% 6.60/4.79 ((~v100(constB88)) | (~(((~v90(constB88, 2)) <=> v129(constB88, 2)) | ((~v90(constB88, 1)) <=> v129(constB88, 1)) | ((~v90(constB88, 0)) <=> v129(constB88, 0))))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11781, 4794])).
% 6.60/4.79 tff(11783,plain,
% 6.60/4.79 (~(((~v90(constB88, 2)) <=> v129(constB88, 2)) | ((~v90(constB88, 1)) <=> v129(constB88, 1)) | ((~v90(constB88, 0)) <=> v129(constB88, 0)))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11782, 11778])).
% 6.60/4.79 tff(11784,plain,
% 6.60/4.79 ((((~v90(constB88, 2)) <=> v129(constB88, 2)) | ((~v90(constB88, 1)) <=> v129(constB88, 1)) | ((~v90(constB88, 0)) <=> v129(constB88, 0))) | (~((~v90(constB88, 2)) <=> v129(constB88, 2)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11785,plain,
% 6.60/4.79 (~((~v90(constB88, 2)) <=> v129(constB88, 2))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11784, 11783])).
% 6.60/4.79 tff(11786,plain,
% 6.60/4.79 (((~v90(constB88, 2)) <=> v129(constB88, 2)) | (~v90(constB88, 2)) | v129(constB88, 2)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11787,plain,
% 6.60/4.79 (~v90(constB88, 2)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11786, 11785, 11682])).
% 6.60/4.79 tff(11788,plain,
% 6.60/4.79 (((~v90(constB89, 2)) <=> v90(constB88, 2)) | (~v90(constB89, 2)) | v90(constB88, 2)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11789,plain,
% 6.60/4.79 (~v90(constB89, 2)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11788, 11787, 1726])).
% 6.60/4.79 tff(11790,plain,
% 6.60/4.79 ((((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 0)) <=> v90(constB88, 0))) | (~((~v90(constB89, 0)) <=> v90(constB88, 0)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11791,plain,
% 6.60/4.79 (~((~v90(constB89, 0)) <=> v90(constB88, 0))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11790, 1724])).
% 6.60/4.79 tff(11792,plain,
% 6.60/4.79 ((((~v129(constB88, 2)) <=> v127(constB87, 2)) | ((~v129(constB88, 1)) <=> v127(constB87, 1)) | ((~v129(constB88, 0)) <=> v127(constB87, 0))) | (~((~v129(constB88, 0)) <=> v127(constB87, 0)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11793,plain,
% 6.60/4.79 (~((~v129(constB88, 0)) <=> v127(constB87, 0))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11792, 1733])).
% 6.60/4.79 tff(11794,plain,
% 6.60/4.79 ((((~v127(constB87, 2)) <=> v130(constB87, 2)) | ((~v127(constB87, 1)) <=> v130(constB87, 1)) | ((~v127(constB87, 0)) <=> v130(constB87, 0))) | (~((~v127(constB87, 0)) <=> v130(constB87, 0)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11795,plain,
% 6.60/4.79 (~((~v127(constB87, 0)) <=> v130(constB87, 0))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11794, 1747])).
% 6.60/4.79 tff(11796,plain,
% 6.60/4.79 ((v130(constB87, 2) | v130(constB87, 0) | (~v130(constB87, 1))) | (~v130(constB87, 0))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11797,plain,
% 6.60/4.79 (~v130(constB87, 0)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11796, 11676])).
% 6.60/4.79 tff(11798,plain,
% 6.60/4.79 (((~v127(constB87, 0)) <=> v130(constB87, 0)) | (~v127(constB87, 0)) | v130(constB87, 0)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11799,plain,
% 6.60/4.79 (~v127(constB87, 0)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11798, 11797, 11795])).
% 6.60/4.79 tff(11800,plain,
% 6.60/4.79 (((~v129(constB88, 0)) <=> v127(constB87, 0)) | (~v129(constB88, 0)) | v127(constB87, 0)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11801,plain,
% 6.60/4.79 (~v129(constB88, 0)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11800, 11799, 11793])).
% 6.60/4.79 tff(11802,plain,
% 6.60/4.79 ((((~v90(constB88, 2)) <=> v129(constB88, 2)) | ((~v90(constB88, 1)) <=> v129(constB88, 1)) | ((~v90(constB88, 0)) <=> v129(constB88, 0))) | (~((~v90(constB88, 0)) <=> v129(constB88, 0)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11803,plain,
% 6.60/4.79 (~((~v90(constB88, 0)) <=> v129(constB88, 0))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11802, 11783])).
% 6.60/4.79 tff(11804,plain,
% 6.60/4.79 (((~v90(constB88, 0)) <=> v129(constB88, 0)) | (~v90(constB88, 0)) | v129(constB88, 0)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11805,plain,
% 6.60/4.79 (~v90(constB88, 0)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11804, 11803, 11801])).
% 6.60/4.79 tff(11806,plain,
% 6.60/4.79 (((~v90(constB89, 0)) <=> v90(constB88, 0)) | (~v90(constB89, 0)) | v90(constB88, 0)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11807,plain,
% 6.60/4.79 (~v90(constB89, 0)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11806, 11805, 11791])).
% 6.60/4.79 tff(11808,plain,
% 6.60/4.79 ((((~v90(constB89, 1)) <=> v90(constB88, 1)) | ((~v90(constB89, 2)) <=> v90(constB88, 2)) | ((~v90(constB89, 0)) <=> v90(constB88, 0))) | (~((~v90(constB89, 1)) <=> v90(constB88, 1)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11809,plain,
% 6.60/4.79 (~((~v90(constB89, 1)) <=> v90(constB88, 1))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11808, 1724])).
% 6.60/4.79 tff(11810,plain,
% 6.60/4.79 ((((~v129(constB88, 2)) <=> v127(constB87, 2)) | ((~v129(constB88, 1)) <=> v127(constB87, 1)) | ((~v129(constB88, 0)) <=> v127(constB87, 0))) | (~((~v129(constB88, 1)) <=> v127(constB87, 1)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11811,plain,
% 6.60/4.79 (~((~v129(constB88, 1)) <=> v127(constB87, 1))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11810, 1733])).
% 6.60/4.79 tff(11812,plain,
% 6.60/4.79 ((((~v127(constB87, 2)) <=> v130(constB87, 2)) | ((~v127(constB87, 1)) <=> v130(constB87, 1)) | ((~v127(constB87, 0)) <=> v130(constB87, 0))) | (~((~v127(constB87, 1)) <=> v130(constB87, 1)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11813,plain,
% 6.60/4.79 (~((~v127(constB87, 1)) <=> v130(constB87, 1))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11812, 1747])).
% 6.60/4.79 tff(11814,plain,
% 6.60/4.79 ((v130(constB87, 2) | v130(constB87, 0) | (~v130(constB87, 1))) | v130(constB87, 1)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11815,plain,
% 6.60/4.79 (v130(constB87, 1)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11814, 11676])).
% 6.60/4.79 tff(11816,plain,
% 6.60/4.79 (((~v127(constB87, 1)) <=> v130(constB87, 1)) | v127(constB87, 1) | (~v130(constB87, 1))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11817,plain,
% 6.60/4.79 (v127(constB87, 1)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11816, 11815, 11813])).
% 6.60/4.79 tff(11818,plain,
% 6.60/4.79 (((~v129(constB88, 1)) <=> v127(constB87, 1)) | v129(constB88, 1) | (~v127(constB87, 1))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11819,plain,
% 6.60/4.79 (v129(constB88, 1)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11818, 11817, 11811])).
% 6.60/4.79 tff(11820,plain,
% 6.60/4.79 ((((~v90(constB88, 2)) <=> v129(constB88, 2)) | ((~v90(constB88, 1)) <=> v129(constB88, 1)) | ((~v90(constB88, 0)) <=> v129(constB88, 0))) | (~((~v90(constB88, 1)) <=> v129(constB88, 1)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11821,plain,
% 6.60/4.79 (~((~v90(constB88, 1)) <=> v129(constB88, 1))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11820, 11783])).
% 6.60/4.79 tff(11822,plain,
% 6.60/4.79 (((~v90(constB88, 1)) <=> v129(constB88, 1)) | v90(constB88, 1) | (~v129(constB88, 1))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11823,plain,
% 6.60/4.79 (v90(constB88, 1)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11822, 11821, 11819])).
% 6.60/4.79 tff(11824,plain,
% 6.60/4.79 (((~v90(constB89, 1)) <=> v90(constB88, 1)) | v90(constB89, 1) | (~v90(constB88, 1))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11825,plain,
% 6.60/4.79 (v90(constB89, 1)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11824, 11823, 11809])).
% 6.60/4.79 tff(11826,plain,
% 6.60/4.79 ((~(v90(constB89, 2) | v90(constB89, 0) | (~v90(constB89, 1)))) | v90(constB89, 2) | v90(constB89, 0) | (~v90(constB89, 1))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11827,plain,
% 6.60/4.79 (~(v90(constB89, 2) | v90(constB89, 0) | (~v90(constB89, 1)))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11826, 11825, 11807, 11789])).
% 6.60/4.79 tff(11828,plain,
% 6.60/4.79 ((~(v121(constB89) <=> (~(v90(constB89, 2) | v90(constB89, 0) | (~v90(constB89, 1)))))) | v121(constB89) | (v90(constB89, 2) | v90(constB89, 0) | (~v90(constB89, 1)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11829,plain,
% 6.60/4.79 (v121(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11828, 11827, 1690])).
% 6.60/4.79 tff(11830,plain,
% 6.60/4.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB89)) | (~(v130(constB89, 2) | (~v130(constB89, 1)) | (~v130(constB89, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB89)) | (~(v130(constB89, 2) | (~v130(constB89, 1)) | (~v130(constB89, 0)))))),
% 6.60/4.79 inference(rewrite,[status(thm)],[])).
% 6.60/4.79 tff(11831,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB89)) | (~(v130(constB89, 2) | (~v130(constB89, 1)) | (~v130(constB89, 0)))))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11832,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB89)) | (~(v130(constB89, 2) | (~v130(constB89, 1)) | (~v130(constB89, 0))))),
% 6.60/4.79 inference(modus_ponens,[status(thm)],[11831, 11830])).
% 6.60/4.79 tff(11833,plain,
% 6.60/4.79 ((~v121(constB89)) | (~(v130(constB89, 2) | (~v130(constB89, 1)) | (~v130(constB89, 0))))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11832, 5420])).
% 6.60/4.79 tff(11834,plain,
% 6.60/4.79 (~(v130(constB89, 2) | (~v130(constB89, 1)) | (~v130(constB89, 0)))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11833, 11829])).
% 6.60/4.79 tff(11835,plain,
% 6.60/4.79 ((v130(constB89, 2) | (~v130(constB89, 1)) | (~v130(constB89, 0))) | (~v130(constB89, 2))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11836,plain,
% 6.60/4.79 (~v130(constB89, 2)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11835, 11834])).
% 6.60/4.79 tff(11837,plain,
% 6.60/4.79 (((~v127(constB89, 2)) <=> v130(constB89, 2)) | (~v127(constB89, 2)) | v130(constB89, 2)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11838,plain,
% 6.60/4.79 (~v127(constB89, 2)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11837, 11836, 1683])).
% 6.60/4.79 tff(11839,plain,
% 6.60/4.79 (((~v129(constB90, 2)) <=> v127(constB89, 2)) | (~v129(constB90, 2)) | v127(constB89, 2)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11840,plain,
% 6.60/4.79 (~v129(constB90, 2)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11839, 11838, 1669])).
% 6.60/4.79 tff(11841,plain,
% 6.60/4.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))))),
% 6.60/4.79 inference(rewrite,[status(thm)],[])).
% 6.60/4.79 tff(11842,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11843,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90)))))),
% 6.60/4.79 inference(modus_ponens,[status(thm)],[11842, 11841])).
% 6.60/4.79 tff(11844,plain,
% 6.60/4.79 (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11843, 1663, 273])).
% 6.60/4.79 tff(11845,plain,
% 6.60/4.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))),
% 6.60/4.79 inference(rewrite,[status(thm)],[])).
% 6.60/4.79 tff(11846,plain,
% 6.60/4.79 (((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90)))))) <=> ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))),
% 6.60/4.79 inference(rewrite,[status(thm)],[])).
% 6.60/4.79 tff(11847,plain,
% 6.60/4.79 (((~![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) <=> (~((~v1(constB90)) | (~v102(constB90)))))))),
% 6.60/4.79 inference(monotonicity,[status(thm)],[11846])).
% 6.60/4.79 tff(11848,plain,
% 6.60/4.79 (((~![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) <=> (~((~v1(constB90)) | (~v102(constB90))))))),
% 6.60/4.79 inference(transitivity,[status(thm)],[11847, 11845])).
% 6.60/4.79 tff(11849,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90))))))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11850,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90)))))),
% 6.60/4.79 inference(modus_ponens,[status(thm)],[11849, 11848])).
% 6.60/4.79 tff(11851,plain,
% 6.60/4.79 (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11850, 1663, 293])).
% 6.60/4.79 tff(11852,plain,
% 6.60/4.79 (((~![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)))),
% 6.60/4.79 inference(rewrite,[status(thm)],[])).
% 6.60/4.79 tff(11853,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11854,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90))),
% 6.60/4.79 inference(modus_ponens,[status(thm)],[11853, 11852])).
% 6.60/4.79 tff(11855,plain,
% 6.60/4.79 ((~v102(constB90)) <=> v104(constB90)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11854, 1663, 4609])).
% 6.60/4.79 tff(11856,plain,
% 6.60/4.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89)))),
% 6.60/4.79 inference(rewrite,[status(thm)],[])).
% 6.60/4.79 tff(11857,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11858,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89))),
% 6.60/4.79 inference(modus_ponens,[status(thm)],[11857, 11856])).
% 6.60/4.79 tff(11859,plain,
% 6.60/4.79 (v104(constB90) <=> v1(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11858, 1663, 4623])).
% 6.60/4.79 tff(11860,plain,
% 6.60/4.79 ((~(v104(constB90) <=> v1(constB89))) | (~v104(constB90)) | v1(constB89)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11861,plain,
% 6.60/4.79 ((~(v104(constB90) <=> v1(constB89))) | (~v104(constB90))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11860, 1707])).
% 6.60/4.79 tff(11862,plain,
% 6.60/4.79 (~v104(constB90)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11861, 11859])).
% 6.60/4.79 tff(11863,plain,
% 6.60/4.79 ((~((~v102(constB90)) <=> v104(constB90))) | v102(constB90) | v104(constB90)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11864,plain,
% 6.60/4.79 (v102(constB90)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11863, 11862, 11855])).
% 6.60/4.79 tff(11865,plain,
% 6.60/4.79 (v1(constB90) <=> v1(constB90)),
% 6.60/4.79 inference(rewrite,[status(thm)],[])).
% 6.60/4.79 tff(11866,axiom,(v1(constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_90')).
% 6.60/4.79 tff(11867,plain,
% 6.60/4.79 (v1(constB90)),
% 6.60/4.79 inference(modus_ponens,[status(thm)],[11866, 11865])).
% 6.60/4.79 tff(11868,plain,
% 6.60/4.79 ((~((~v1(constB90)) | (~v102(constB90)))) | (~v1(constB90)) | (~v102(constB90))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11869,plain,
% 6.60/4.79 ((~((~v1(constB90)) | (~v102(constB90)))) | (~v102(constB90))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11868, 11867])).
% 6.60/4.79 tff(11870,plain,
% 6.60/4.79 (~((~v1(constB90)) | (~v102(constB90)))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11869, 11864])).
% 6.60/4.79 tff(11871,plain,
% 6.60/4.79 ((~(v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90)))))) | v101(constB90) | ((~v1(constB90)) | (~v102(constB90)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11872,plain,
% 6.60/4.79 (v101(constB90)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11871, 11870, 11851])).
% 6.60/4.79 tff(11873,plain,
% 6.60/4.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89)))),
% 6.60/4.79 inference(rewrite,[status(thm)],[])).
% 6.60/4.79 tff(11874,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11875,plain,
% 6.60/4.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89))),
% 6.60/4.79 inference(modus_ponens,[status(thm)],[11874, 11873])).
% 6.60/4.79 tff(11876,plain,
% 6.60/4.79 (v110(constB90) <=> v108(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11875, 1663, 4650])).
% 6.60/4.79 tff(11877,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB89) <=> (v111(constB89) | v112(constB89)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11878,plain,
% 6.60/4.79 (v108(constB89) <=> (v111(constB89) | v112(constB89))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11877, 4661])).
% 6.60/4.79 tff(11879,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89)))))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11880,plain,
% 6.60/4.79 (v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89))))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11879, 4673])).
% 6.60/4.79 tff(11881,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB89) <=> (v114(constB89) | v125(constB89)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11882,plain,
% 6.60/4.79 (v113(constB89) <=> (v114(constB89) | v125(constB89))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11881, 4682])).
% 6.60/4.79 tff(11883,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB89) <=> (v115(constB89) | v124(constB89)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11884,plain,
% 6.60/4.79 (v114(constB89) <=> (v115(constB89) | v124(constB89))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11883, 4691])).
% 6.60/4.79 tff(11885,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB89) <=> (v116(constB89) | v123(constB89)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11886,plain,
% 6.60/4.79 (v115(constB89) <=> (v116(constB89) | v123(constB89))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11885, 4700])).
% 6.60/4.79 tff(11887,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB89) <=> (v117(constB89) | v122(constB89)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11888,plain,
% 6.60/4.79 (v116(constB89) <=> (v117(constB89) | v122(constB89))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11887, 4709])).
% 6.60/4.79 tff(11889,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB89) <=> (v118(constB89) | v121(constB89)))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11890,plain,
% 6.60/4.79 (v117(constB89) <=> (v118(constB89) | v121(constB89))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11889, 4718])).
% 6.60/4.79 tff(11891,plain,
% 6.60/4.79 ((v118(constB89) | v121(constB89)) | (~v121(constB89))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11892,plain,
% 6.60/4.79 (v118(constB89) | v121(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11891, 11829])).
% 6.60/4.79 tff(11893,plain,
% 6.60/4.79 ((~(v117(constB89) <=> (v118(constB89) | v121(constB89)))) | v117(constB89) | (~(v118(constB89) | v121(constB89)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11894,plain,
% 6.60/4.79 (v117(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11893, 11892, 11890])).
% 6.60/4.79 tff(11895,plain,
% 6.60/4.79 ((v117(constB89) | v122(constB89)) | (~v117(constB89))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11896,plain,
% 6.60/4.79 (v117(constB89) | v122(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11895, 11894])).
% 6.60/4.79 tff(11897,plain,
% 6.60/4.79 ((~(v116(constB89) <=> (v117(constB89) | v122(constB89)))) | v116(constB89) | (~(v117(constB89) | v122(constB89)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11898,plain,
% 6.60/4.79 (v116(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11897, 11896, 11888])).
% 6.60/4.79 tff(11899,plain,
% 6.60/4.79 ((v116(constB89) | v123(constB89)) | (~v116(constB89))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11900,plain,
% 6.60/4.79 (v116(constB89) | v123(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11899, 11898])).
% 6.60/4.79 tff(11901,plain,
% 6.60/4.79 ((~(v115(constB89) <=> (v116(constB89) | v123(constB89)))) | v115(constB89) | (~(v116(constB89) | v123(constB89)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11902,plain,
% 6.60/4.79 (v115(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11901, 11900, 11886])).
% 6.60/4.79 tff(11903,plain,
% 6.60/4.79 ((v115(constB89) | v124(constB89)) | (~v115(constB89))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11904,plain,
% 6.60/4.79 (v115(constB89) | v124(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11903, 11902])).
% 6.60/4.79 tff(11905,plain,
% 6.60/4.79 ((~(v114(constB89) <=> (v115(constB89) | v124(constB89)))) | v114(constB89) | (~(v115(constB89) | v124(constB89)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11906,plain,
% 6.60/4.79 (v114(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11905, 11904, 11884])).
% 6.60/4.79 tff(11907,plain,
% 6.60/4.79 ((v114(constB89) | v125(constB89)) | (~v114(constB89))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11908,plain,
% 6.60/4.79 (v114(constB89) | v125(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11907, 11906])).
% 6.60/4.79 tff(11909,plain,
% 6.60/4.79 ((~(v113(constB89) <=> (v114(constB89) | v125(constB89)))) | v113(constB89) | (~(v114(constB89) | v125(constB89)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11910,plain,
% 6.60/4.79 (v113(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11909, 11908, 11882])).
% 6.60/4.79 tff(11911,plain,
% 6.60/4.79 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB89)) <=> v111(constB89))),
% 6.60/4.79 inference(quant_inst,[status(thm)],[])).
% 6.60/4.79 tff(11912,plain,
% 6.60/4.79 ((~v126(constB89)) <=> v111(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11911, 4761])).
% 6.60/4.79 tff(11913,plain,
% 6.60/4.79 ((~((~v126(constB89)) <=> v111(constB89))) | v126(constB89) | v111(constB89)),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11914,plain,
% 6.60/4.79 ((~((~v126(constB89)) <=> v111(constB89))) | v126(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11913, 1676])).
% 6.60/4.79 tff(11915,plain,
% 6.60/4.79 (v126(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11914, 11912])).
% 6.60/4.79 tff(11916,plain,
% 6.60/4.79 ((~((~v113(constB89)) | (~v126(constB89)))) | (~v113(constB89)) | (~v126(constB89))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11917,plain,
% 6.60/4.79 ((~((~v113(constB89)) | (~v126(constB89)))) | (~v113(constB89))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11916, 11915])).
% 6.60/4.79 tff(11918,plain,
% 6.60/4.79 (~((~v113(constB89)) | (~v126(constB89)))),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11917, 11910])).
% 6.60/4.79 tff(11919,plain,
% 6.60/4.79 ((~(v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89)))))) | v112(constB89) | ((~v113(constB89)) | (~v126(constB89)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11920,plain,
% 6.60/4.79 (v112(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11919, 11918, 11880])).
% 6.60/4.79 tff(11921,plain,
% 6.60/4.79 ((v111(constB89) | v112(constB89)) | (~v112(constB89))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11922,plain,
% 6.60/4.79 (v111(constB89) | v112(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11921, 11920])).
% 6.60/4.79 tff(11923,plain,
% 6.60/4.79 ((~(v108(constB89) <=> (v111(constB89) | v112(constB89)))) | v108(constB89) | (~(v111(constB89) | v112(constB89)))),
% 6.60/4.79 inference(tautology,[status(thm)],[])).
% 6.60/4.79 tff(11924,plain,
% 6.60/4.79 (v108(constB89)),
% 6.60/4.79 inference(unit_resolution,[status(thm)],[11923, 11922, 11878])).
% 6.60/4.79 tff(11925,plain,
% 6.60/4.80 ((~(v110(constB90) <=> v108(constB89))) | v110(constB90) | (~v108(constB89))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11926,plain,
% 6.60/4.80 (v110(constB90)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11925, 11924, 11876])).
% 6.60/4.80 tff(11927,plain,
% 6.60/4.80 ((~((~v101(constB90)) | (~v110(constB90)))) | (~v101(constB90)) | (~v110(constB90))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11928,plain,
% 6.60/4.80 (~((~v101(constB90)) | (~v110(constB90)))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11927, 11926, 11872])).
% 6.60/4.80 tff(11929,plain,
% 6.60/4.80 ((~(v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90)))))) | v100(constB90) | ((~v101(constB90)) | (~v110(constB90)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11930,plain,
% 6.60/4.80 (v100(constB90)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11929, 11928, 11844])).
% 6.60/4.80 tff(11931,plain,
% 6.60/4.80 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB90)) | (~(((~v90(constB90, 0)) <=> v129(constB90, 0)) | ((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB90)) | (~(((~v90(constB90, 0)) <=> v129(constB90, 0)) | ((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1)))))),
% 6.60/4.80 inference(rewrite,[status(thm)],[])).
% 6.60/4.80 tff(11932,plain,
% 6.60/4.80 (((~v100(constB90)) | (~(((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1)) | ((~v90(constB90, 0)) <=> v129(constB90, 0))))) <=> ((~v100(constB90)) | (~(((~v90(constB90, 0)) <=> v129(constB90, 0)) | ((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1)))))),
% 6.60/4.80 inference(rewrite,[status(thm)],[])).
% 6.60/4.80 tff(11933,plain,
% 6.60/4.80 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB90)) | (~(((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1)) | ((~v90(constB90, 0)) <=> v129(constB90, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB90)) | (~(((~v90(constB90, 0)) <=> v129(constB90, 0)) | ((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1))))))),
% 6.60/4.80 inference(monotonicity,[status(thm)],[11932])).
% 6.60/4.80 tff(11934,plain,
% 6.60/4.80 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB90)) | (~(((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1)) | ((~v90(constB90, 0)) <=> v129(constB90, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB90)) | (~(((~v90(constB90, 0)) <=> v129(constB90, 0)) | ((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1)))))),
% 6.60/4.80 inference(transitivity,[status(thm)],[11933, 11931])).
% 6.60/4.80 tff(11935,plain,
% 6.60/4.80 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB90)) | (~(((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1)) | ((~v90(constB90, 0)) <=> v129(constB90, 0)))))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(11936,plain,
% 6.60/4.80 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB90)) | (~(((~v90(constB90, 0)) <=> v129(constB90, 0)) | ((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1))))),
% 6.60/4.80 inference(modus_ponens,[status(thm)],[11935, 11934])).
% 6.60/4.80 tff(11937,plain,
% 6.60/4.80 ((~v100(constB90)) | (~(((~v90(constB90, 0)) <=> v129(constB90, 0)) | ((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1))))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11936, 4794])).
% 6.60/4.80 tff(11938,plain,
% 6.60/4.80 (~(((~v90(constB90, 0)) <=> v129(constB90, 0)) | ((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1)))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11937, 11930])).
% 6.60/4.80 tff(11939,plain,
% 6.60/4.80 ((((~v90(constB90, 0)) <=> v129(constB90, 0)) | ((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1))) | (~((~v90(constB90, 2)) <=> v129(constB90, 2)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11940,plain,
% 6.60/4.80 (~((~v90(constB90, 2)) <=> v129(constB90, 2))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11939, 11938])).
% 6.60/4.80 tff(11941,plain,
% 6.60/4.80 (((~v90(constB90, 2)) <=> v129(constB90, 2)) | (~v90(constB90, 2)) | v129(constB90, 2)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11942,plain,
% 6.60/4.80 (~v90(constB90, 2)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11941, 11940, 11840])).
% 6.60/4.80 tff(11943,plain,
% 6.60/4.80 (((~v90(constB91, 2)) <=> v90(constB90, 2)) | (~v90(constB91, 2)) | v90(constB90, 2)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11944,plain,
% 6.60/4.80 (~v90(constB91, 2)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11943, 11942, 1660])).
% 6.60/4.80 tff(11945,plain,
% 6.60/4.80 ((((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 0)) <=> v90(constB90, 0))) | (~((~v90(constB91, 0)) <=> v90(constB90, 0)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11946,plain,
% 6.60/4.80 (~((~v90(constB91, 0)) <=> v90(constB90, 0))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11945, 1658])).
% 6.60/4.80 tff(11947,plain,
% 6.60/4.80 ((((~v129(constB90, 2)) <=> v127(constB89, 2)) | ((~v129(constB90, 1)) <=> v127(constB89, 1)) | ((~v129(constB90, 0)) <=> v127(constB89, 0))) | (~((~v129(constB90, 0)) <=> v127(constB89, 0)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11948,plain,
% 6.60/4.80 (~((~v129(constB90, 0)) <=> v127(constB89, 0))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11947, 1667])).
% 6.60/4.80 tff(11949,plain,
% 6.60/4.80 ((((~v127(constB89, 2)) <=> v130(constB89, 2)) | ((~v127(constB89, 1)) <=> v130(constB89, 1)) | ((~v127(constB89, 0)) <=> v130(constB89, 0))) | (~((~v127(constB89, 0)) <=> v130(constB89, 0)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11950,plain,
% 6.60/4.80 (~((~v127(constB89, 0)) <=> v130(constB89, 0))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11949, 1681])).
% 6.60/4.80 tff(11951,plain,
% 6.60/4.80 ((v130(constB89, 2) | (~v130(constB89, 1)) | (~v130(constB89, 0))) | v130(constB89, 0)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11952,plain,
% 6.60/4.80 (v130(constB89, 0)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11951, 11834])).
% 6.60/4.80 tff(11953,plain,
% 6.60/4.80 (((~v127(constB89, 0)) <=> v130(constB89, 0)) | v127(constB89, 0) | (~v130(constB89, 0))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11954,plain,
% 6.60/4.80 (v127(constB89, 0)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11953, 11952, 11950])).
% 6.60/4.80 tff(11955,plain,
% 6.60/4.80 (((~v129(constB90, 0)) <=> v127(constB89, 0)) | v129(constB90, 0) | (~v127(constB89, 0))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11956,plain,
% 6.60/4.80 (v129(constB90, 0)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11955, 11954, 11948])).
% 6.60/4.80 tff(11957,plain,
% 6.60/4.80 ((((~v90(constB90, 0)) <=> v129(constB90, 0)) | ((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1))) | (~((~v90(constB90, 0)) <=> v129(constB90, 0)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11958,plain,
% 6.60/4.80 (~((~v90(constB90, 0)) <=> v129(constB90, 0))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11957, 11938])).
% 6.60/4.80 tff(11959,plain,
% 6.60/4.80 (((~v90(constB90, 0)) <=> v129(constB90, 0)) | v90(constB90, 0) | (~v129(constB90, 0))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11960,plain,
% 6.60/4.80 (v90(constB90, 0)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11959, 11958, 11956])).
% 6.60/4.80 tff(11961,plain,
% 6.60/4.80 (((~v90(constB91, 0)) <=> v90(constB90, 0)) | v90(constB91, 0) | (~v90(constB90, 0))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11962,plain,
% 6.60/4.80 (v90(constB91, 0)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11961, 11960, 11946])).
% 6.60/4.80 tff(11963,plain,
% 6.60/4.80 ((((~v90(constB91, 1)) <=> v90(constB90, 1)) | ((~v90(constB91, 2)) <=> v90(constB90, 2)) | ((~v90(constB91, 0)) <=> v90(constB90, 0))) | (~((~v90(constB91, 1)) <=> v90(constB90, 1)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11964,plain,
% 6.60/4.80 (~((~v90(constB91, 1)) <=> v90(constB90, 1))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11963, 1658])).
% 6.60/4.80 tff(11965,plain,
% 6.60/4.80 ((((~v129(constB90, 2)) <=> v127(constB89, 2)) | ((~v129(constB90, 1)) <=> v127(constB89, 1)) | ((~v129(constB90, 0)) <=> v127(constB89, 0))) | (~((~v129(constB90, 1)) <=> v127(constB89, 1)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11966,plain,
% 6.60/4.80 (~((~v129(constB90, 1)) <=> v127(constB89, 1))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11965, 1667])).
% 6.60/4.80 tff(11967,plain,
% 6.60/4.80 ((((~v127(constB89, 2)) <=> v130(constB89, 2)) | ((~v127(constB89, 1)) <=> v130(constB89, 1)) | ((~v127(constB89, 0)) <=> v130(constB89, 0))) | (~((~v127(constB89, 1)) <=> v130(constB89, 1)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11968,plain,
% 6.60/4.80 (~((~v127(constB89, 1)) <=> v130(constB89, 1))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11967, 1681])).
% 6.60/4.80 tff(11969,plain,
% 6.60/4.80 ((v130(constB89, 2) | (~v130(constB89, 1)) | (~v130(constB89, 0))) | v130(constB89, 1)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11970,plain,
% 6.60/4.80 (v130(constB89, 1)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11969, 11834])).
% 6.60/4.80 tff(11971,plain,
% 6.60/4.80 (((~v127(constB89, 1)) <=> v130(constB89, 1)) | v127(constB89, 1) | (~v130(constB89, 1))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11972,plain,
% 6.60/4.80 (v127(constB89, 1)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11971, 11970, 11968])).
% 6.60/4.80 tff(11973,plain,
% 6.60/4.80 (((~v129(constB90, 1)) <=> v127(constB89, 1)) | v129(constB90, 1) | (~v127(constB89, 1))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11974,plain,
% 6.60/4.80 (v129(constB90, 1)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11973, 11972, 11966])).
% 6.60/4.80 tff(11975,plain,
% 6.60/4.80 ((((~v90(constB90, 0)) <=> v129(constB90, 0)) | ((~v90(constB90, 2)) <=> v129(constB90, 2)) | ((~v90(constB90, 1)) <=> v129(constB90, 1))) | (~((~v90(constB90, 1)) <=> v129(constB90, 1)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11976,plain,
% 6.60/4.80 (~((~v90(constB90, 1)) <=> v129(constB90, 1))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11975, 11938])).
% 6.60/4.80 tff(11977,plain,
% 6.60/4.80 (((~v90(constB90, 1)) <=> v129(constB90, 1)) | v90(constB90, 1) | (~v129(constB90, 1))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11978,plain,
% 6.60/4.80 (v90(constB90, 1)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11977, 11976, 11974])).
% 6.60/4.80 tff(11979,plain,
% 6.60/4.80 (((~v90(constB91, 1)) <=> v90(constB90, 1)) | v90(constB91, 1) | (~v90(constB90, 1))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11980,plain,
% 6.60/4.80 (v90(constB91, 1)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11979, 11978, 11964])).
% 6.60/4.80 tff(11981,plain,
% 6.60/4.80 ((~(v90(constB91, 2) | (~v90(constB91, 1)) | (~v90(constB91, 0)))) | v90(constB91, 2) | (~v90(constB91, 1)) | (~v90(constB91, 0))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11982,plain,
% 6.60/4.80 (~(v90(constB91, 2) | (~v90(constB91, 1)) | (~v90(constB91, 0)))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11981, 11980, 11962, 11944])).
% 6.60/4.80 tff(11983,plain,
% 6.60/4.80 ((~(v122(constB91) <=> (~(v90(constB91, 2) | (~v90(constB91, 1)) | (~v90(constB91, 0)))))) | v122(constB91) | (v90(constB91, 2) | (~v90(constB91, 1)) | (~v90(constB91, 0)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11984,plain,
% 6.60/4.80 (v122(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11983, 11982, 1624])).
% 6.60/4.80 tff(11985,plain,
% 6.60/4.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB91)) | (~(v130(constB91, 1) | v130(constB91, 0) | (~v130(constB91, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB91)) | (~(v130(constB91, 1) | v130(constB91, 0) | (~v130(constB91, 2)))))),
% 6.60/4.80 inference(rewrite,[status(thm)],[])).
% 6.60/4.80 tff(11986,plain,
% 6.60/4.80 (((~v122(constB91)) | (~(v130(constB91, 0) | v130(constB91, 1) | (~v130(constB91, 2))))) <=> ((~v122(constB91)) | (~(v130(constB91, 1) | v130(constB91, 0) | (~v130(constB91, 2)))))),
% 6.60/4.80 inference(rewrite,[status(thm)],[])).
% 6.60/4.80 tff(11987,plain,
% 6.60/4.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB91)) | (~(v130(constB91, 0) | v130(constB91, 1) | (~v130(constB91, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB91)) | (~(v130(constB91, 1) | v130(constB91, 0) | (~v130(constB91, 2))))))),
% 6.60/4.80 inference(monotonicity,[status(thm)],[11986])).
% 6.60/4.80 tff(11988,plain,
% 6.60/4.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB91)) | (~(v130(constB91, 0) | v130(constB91, 1) | (~v130(constB91, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB91)) | (~(v130(constB91, 1) | v130(constB91, 0) | (~v130(constB91, 2)))))),
% 6.60/4.80 inference(transitivity,[status(thm)],[11987, 11985])).
% 6.60/4.80 tff(11989,plain,
% 6.60/4.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB91)) | (~(v130(constB91, 0) | v130(constB91, 1) | (~v130(constB91, 2)))))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(11990,plain,
% 6.60/4.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB91)) | (~(v130(constB91, 1) | v130(constB91, 0) | (~v130(constB91, 2))))),
% 6.60/4.80 inference(modus_ponens,[status(thm)],[11989, 11988])).
% 6.60/4.80 tff(11991,plain,
% 6.60/4.80 ((~v122(constB91)) | (~(v130(constB91, 1) | v130(constB91, 0) | (~v130(constB91, 2))))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11990, 5588])).
% 6.60/4.80 tff(11992,plain,
% 6.60/4.80 (~(v130(constB91, 1) | v130(constB91, 0) | (~v130(constB91, 2)))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11991, 11984])).
% 6.60/4.80 tff(11993,plain,
% 6.60/4.80 ((v130(constB91, 1) | v130(constB91, 0) | (~v130(constB91, 2))) | v130(constB91, 2)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11994,plain,
% 6.60/4.80 (v130(constB91, 2)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11993, 11992])).
% 6.60/4.80 tff(11995,plain,
% 6.60/4.80 (((~v127(constB91, 2)) <=> v130(constB91, 2)) | v127(constB91, 2) | (~v130(constB91, 2))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11996,plain,
% 6.60/4.80 (v127(constB91, 2)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11995, 11994, 1617])).
% 6.60/4.80 tff(11997,plain,
% 6.60/4.80 (((~v129(constB92, 2)) <=> v127(constB91, 2)) | v129(constB92, 2) | (~v127(constB91, 2))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(11998,plain,
% 6.60/4.80 (v129(constB92, 2)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[11997, 11996, 1603])).
% 6.60/4.80 tff(11999,plain,
% 6.60/4.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))))),
% 6.60/4.80 inference(rewrite,[status(thm)],[])).
% 6.60/4.80 tff(12000,plain,
% 6.60/4.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(12001,plain,
% 6.60/4.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92)))))),
% 6.60/4.80 inference(modus_ponens,[status(thm)],[12000, 11999])).
% 6.60/4.80 tff(12002,plain,
% 6.60/4.80 (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12001, 1597, 273])).
% 6.60/4.80 tff(12003,plain,
% 6.60/4.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))),
% 6.60/4.80 inference(rewrite,[status(thm)],[])).
% 6.60/4.80 tff(12004,plain,
% 6.60/4.80 (((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92)))))) <=> ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))),
% 6.60/4.80 inference(rewrite,[status(thm)],[])).
% 6.60/4.80 tff(12005,plain,
% 6.60/4.80 (((~![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) <=> (~((~v1(constB92)) | (~v102(constB92)))))))),
% 6.60/4.80 inference(monotonicity,[status(thm)],[12004])).
% 6.60/4.80 tff(12006,plain,
% 6.60/4.80 (((~![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) <=> (~((~v1(constB92)) | (~v102(constB92))))))),
% 6.60/4.80 inference(transitivity,[status(thm)],[12005, 12003])).
% 6.60/4.80 tff(12007,plain,
% 6.60/4.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92))))))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(12008,plain,
% 6.60/4.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92)))))),
% 6.60/4.80 inference(modus_ponens,[status(thm)],[12007, 12006])).
% 6.60/4.80 tff(12009,plain,
% 6.60/4.80 (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12008, 1597, 293])).
% 6.60/4.80 tff(12010,plain,
% 6.60/4.80 (((~![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)))),
% 6.60/4.80 inference(rewrite,[status(thm)],[])).
% 6.60/4.80 tff(12011,plain,
% 6.60/4.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92)))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(12012,plain,
% 6.60/4.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92))),
% 6.60/4.80 inference(modus_ponens,[status(thm)],[12011, 12010])).
% 6.60/4.80 tff(12013,plain,
% 6.60/4.80 ((~v102(constB92)) <=> v104(constB92)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12012, 1597, 4609])).
% 6.60/4.80 tff(12014,plain,
% 6.60/4.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91)))),
% 6.60/4.80 inference(rewrite,[status(thm)],[])).
% 6.60/4.80 tff(12015,plain,
% 6.60/4.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91)))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(12016,plain,
% 6.60/4.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91))),
% 6.60/4.80 inference(modus_ponens,[status(thm)],[12015, 12014])).
% 6.60/4.80 tff(12017,plain,
% 6.60/4.80 (v104(constB92) <=> v1(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12016, 1597, 4623])).
% 6.60/4.80 tff(12018,plain,
% 6.60/4.80 ((~(v104(constB92) <=> v1(constB91))) | (~v104(constB92)) | v1(constB91)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12019,plain,
% 6.60/4.80 ((~(v104(constB92) <=> v1(constB91))) | (~v104(constB92))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12018, 1641])).
% 6.60/4.80 tff(12020,plain,
% 6.60/4.80 (~v104(constB92)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12019, 12017])).
% 6.60/4.80 tff(12021,plain,
% 6.60/4.80 ((~((~v102(constB92)) <=> v104(constB92))) | v102(constB92) | v104(constB92)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12022,plain,
% 6.60/4.80 (v102(constB92)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12021, 12020, 12013])).
% 6.60/4.80 tff(12023,plain,
% 6.60/4.80 (v1(constB92) <=> v1(constB92)),
% 6.60/4.80 inference(rewrite,[status(thm)],[])).
% 6.60/4.80 tff(12024,axiom,(v1(constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_92')).
% 6.60/4.80 tff(12025,plain,
% 6.60/4.80 (v1(constB92)),
% 6.60/4.80 inference(modus_ponens,[status(thm)],[12024, 12023])).
% 6.60/4.80 tff(12026,plain,
% 6.60/4.80 ((~((~v1(constB92)) | (~v102(constB92)))) | (~v1(constB92)) | (~v102(constB92))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12027,plain,
% 6.60/4.80 ((~((~v1(constB92)) | (~v102(constB92)))) | (~v102(constB92))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12026, 12025])).
% 6.60/4.80 tff(12028,plain,
% 6.60/4.80 (~((~v1(constB92)) | (~v102(constB92)))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12027, 12022])).
% 6.60/4.80 tff(12029,plain,
% 6.60/4.80 ((~(v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92)))))) | v101(constB92) | ((~v1(constB92)) | (~v102(constB92)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12030,plain,
% 6.60/4.80 (v101(constB92)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12029, 12028, 12009])).
% 6.60/4.80 tff(12031,plain,
% 6.60/4.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91)))),
% 6.60/4.80 inference(rewrite,[status(thm)],[])).
% 6.60/4.80 tff(12032,plain,
% 6.60/4.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91)))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(12033,plain,
% 6.60/4.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91))),
% 6.60/4.80 inference(modus_ponens,[status(thm)],[12032, 12031])).
% 6.60/4.80 tff(12034,plain,
% 6.60/4.80 (v110(constB92) <=> v108(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12033, 1597, 4650])).
% 6.60/4.80 tff(12035,plain,
% 6.60/4.80 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB91) <=> (v111(constB91) | v112(constB91)))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(12036,plain,
% 6.60/4.80 (v108(constB91) <=> (v111(constB91) | v112(constB91))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12035, 4661])).
% 6.60/4.80 tff(12037,plain,
% 6.60/4.80 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91)))))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(12038,plain,
% 6.60/4.80 (v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91))))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12037, 4673])).
% 6.60/4.80 tff(12039,plain,
% 6.60/4.80 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB91) <=> (v114(constB91) | v125(constB91)))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(12040,plain,
% 6.60/4.80 (v113(constB91) <=> (v114(constB91) | v125(constB91))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12039, 4682])).
% 6.60/4.80 tff(12041,plain,
% 6.60/4.80 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB91) <=> (v115(constB91) | v124(constB91)))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(12042,plain,
% 6.60/4.80 (v114(constB91) <=> (v115(constB91) | v124(constB91))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12041, 4691])).
% 6.60/4.80 tff(12043,plain,
% 6.60/4.80 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB91) <=> (v116(constB91) | v123(constB91)))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(12044,plain,
% 6.60/4.80 (v115(constB91) <=> (v116(constB91) | v123(constB91))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12043, 4700])).
% 6.60/4.80 tff(12045,plain,
% 6.60/4.80 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB91) <=> (v117(constB91) | v122(constB91)))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(12046,plain,
% 6.60/4.80 (v116(constB91) <=> (v117(constB91) | v122(constB91))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12045, 4709])).
% 6.60/4.80 tff(12047,plain,
% 6.60/4.80 ((v117(constB91) | v122(constB91)) | (~v122(constB91))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12048,plain,
% 6.60/4.80 (v117(constB91) | v122(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12047, 11984])).
% 6.60/4.80 tff(12049,plain,
% 6.60/4.80 ((~(v116(constB91) <=> (v117(constB91) | v122(constB91)))) | v116(constB91) | (~(v117(constB91) | v122(constB91)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12050,plain,
% 6.60/4.80 (v116(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12049, 12048, 12046])).
% 6.60/4.80 tff(12051,plain,
% 6.60/4.80 ((v116(constB91) | v123(constB91)) | (~v116(constB91))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12052,plain,
% 6.60/4.80 (v116(constB91) | v123(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12051, 12050])).
% 6.60/4.80 tff(12053,plain,
% 6.60/4.80 ((~(v115(constB91) <=> (v116(constB91) | v123(constB91)))) | v115(constB91) | (~(v116(constB91) | v123(constB91)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12054,plain,
% 6.60/4.80 (v115(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12053, 12052, 12044])).
% 6.60/4.80 tff(12055,plain,
% 6.60/4.80 ((v115(constB91) | v124(constB91)) | (~v115(constB91))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12056,plain,
% 6.60/4.80 (v115(constB91) | v124(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12055, 12054])).
% 6.60/4.80 tff(12057,plain,
% 6.60/4.80 ((~(v114(constB91) <=> (v115(constB91) | v124(constB91)))) | v114(constB91) | (~(v115(constB91) | v124(constB91)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12058,plain,
% 6.60/4.80 (v114(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12057, 12056, 12042])).
% 6.60/4.80 tff(12059,plain,
% 6.60/4.80 ((v114(constB91) | v125(constB91)) | (~v114(constB91))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12060,plain,
% 6.60/4.80 (v114(constB91) | v125(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12059, 12058])).
% 6.60/4.80 tff(12061,plain,
% 6.60/4.80 ((~(v113(constB91) <=> (v114(constB91) | v125(constB91)))) | v113(constB91) | (~(v114(constB91) | v125(constB91)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12062,plain,
% 6.60/4.80 (v113(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12061, 12060, 12040])).
% 6.60/4.80 tff(12063,plain,
% 6.60/4.80 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB91)) <=> v111(constB91))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(12064,plain,
% 6.60/4.80 ((~v126(constB91)) <=> v111(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12063, 4761])).
% 6.60/4.80 tff(12065,plain,
% 6.60/4.80 ((~((~v126(constB91)) <=> v111(constB91))) | v126(constB91) | v111(constB91)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12066,plain,
% 6.60/4.80 ((~((~v126(constB91)) <=> v111(constB91))) | v126(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12065, 1610])).
% 6.60/4.80 tff(12067,plain,
% 6.60/4.80 (v126(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12066, 12064])).
% 6.60/4.80 tff(12068,plain,
% 6.60/4.80 ((~((~v113(constB91)) | (~v126(constB91)))) | (~v113(constB91)) | (~v126(constB91))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12069,plain,
% 6.60/4.80 ((~((~v113(constB91)) | (~v126(constB91)))) | (~v113(constB91))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12068, 12067])).
% 6.60/4.80 tff(12070,plain,
% 6.60/4.80 (~((~v113(constB91)) | (~v126(constB91)))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12069, 12062])).
% 6.60/4.80 tff(12071,plain,
% 6.60/4.80 ((~(v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91)))))) | v112(constB91) | ((~v113(constB91)) | (~v126(constB91)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12072,plain,
% 6.60/4.80 (v112(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12071, 12070, 12038])).
% 6.60/4.80 tff(12073,plain,
% 6.60/4.80 ((v111(constB91) | v112(constB91)) | (~v112(constB91))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12074,plain,
% 6.60/4.80 (v111(constB91) | v112(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12073, 12072])).
% 6.60/4.80 tff(12075,plain,
% 6.60/4.80 ((~(v108(constB91) <=> (v111(constB91) | v112(constB91)))) | v108(constB91) | (~(v111(constB91) | v112(constB91)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12076,plain,
% 6.60/4.80 (v108(constB91)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12075, 12074, 12036])).
% 6.60/4.80 tff(12077,plain,
% 6.60/4.80 ((~(v110(constB92) <=> v108(constB91))) | v110(constB92) | (~v108(constB91))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12078,plain,
% 6.60/4.80 (v110(constB92)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12077, 12076, 12034])).
% 6.60/4.80 tff(12079,plain,
% 6.60/4.80 ((~((~v101(constB92)) | (~v110(constB92)))) | (~v101(constB92)) | (~v110(constB92))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12080,plain,
% 6.60/4.80 (~((~v101(constB92)) | (~v110(constB92)))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12079, 12078, 12030])).
% 6.60/4.80 tff(12081,plain,
% 6.60/4.80 ((~(v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92)))))) | v100(constB92) | ((~v101(constB92)) | (~v110(constB92)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12082,plain,
% 6.60/4.80 (v100(constB92)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12081, 12080, 12002])).
% 6.60/4.80 tff(12083,plain,
% 6.60/4.80 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB92)) | (~(((~v90(constB92, 2)) <=> v129(constB92, 2)) | ((~v90(constB92, 1)) <=> v129(constB92, 1)) | ((~v90(constB92, 0)) <=> v129(constB92, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB92)) | (~(((~v90(constB92, 2)) <=> v129(constB92, 2)) | ((~v90(constB92, 1)) <=> v129(constB92, 1)) | ((~v90(constB92, 0)) <=> v129(constB92, 0)))))),
% 6.60/4.80 inference(rewrite,[status(thm)],[])).
% 6.60/4.80 tff(12084,plain,
% 6.60/4.80 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB92)) | (~(((~v90(constB92, 2)) <=> v129(constB92, 2)) | ((~v90(constB92, 1)) <=> v129(constB92, 1)) | ((~v90(constB92, 0)) <=> v129(constB92, 0)))))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(12085,plain,
% 6.60/4.80 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB92)) | (~(((~v90(constB92, 2)) <=> v129(constB92, 2)) | ((~v90(constB92, 1)) <=> v129(constB92, 1)) | ((~v90(constB92, 0)) <=> v129(constB92, 0))))),
% 6.60/4.80 inference(modus_ponens,[status(thm)],[12084, 12083])).
% 6.60/4.80 tff(12086,plain,
% 6.60/4.80 ((~v100(constB92)) | (~(((~v90(constB92, 2)) <=> v129(constB92, 2)) | ((~v90(constB92, 1)) <=> v129(constB92, 1)) | ((~v90(constB92, 0)) <=> v129(constB92, 0))))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12085, 4794])).
% 6.60/4.80 tff(12087,plain,
% 6.60/4.80 (~(((~v90(constB92, 2)) <=> v129(constB92, 2)) | ((~v90(constB92, 1)) <=> v129(constB92, 1)) | ((~v90(constB92, 0)) <=> v129(constB92, 0)))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12086, 12082])).
% 6.60/4.80 tff(12088,plain,
% 6.60/4.80 ((((~v90(constB92, 2)) <=> v129(constB92, 2)) | ((~v90(constB92, 1)) <=> v129(constB92, 1)) | ((~v90(constB92, 0)) <=> v129(constB92, 0))) | (~((~v90(constB92, 2)) <=> v129(constB92, 2)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12089,plain,
% 6.60/4.80 (~((~v90(constB92, 2)) <=> v129(constB92, 2))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12088, 12087])).
% 6.60/4.80 tff(12090,plain,
% 6.60/4.80 (((~v90(constB92, 2)) <=> v129(constB92, 2)) | v90(constB92, 2) | (~v129(constB92, 2))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12091,plain,
% 6.60/4.80 (v90(constB92, 2)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12090, 12089, 11998])).
% 6.60/4.80 tff(12092,plain,
% 6.60/4.80 (((~v90(constB93, 2)) <=> v90(constB92, 2)) | v90(constB93, 2) | (~v90(constB92, 2))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12093,plain,
% 6.60/4.80 (v90(constB93, 2)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12092, 12091, 1594])).
% 6.60/4.80 tff(12094,plain,
% 6.60/4.80 ((((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 0)) <=> v90(constB92, 0))) | (~((~v90(constB93, 0)) <=> v90(constB92, 0)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12095,plain,
% 6.60/4.80 (~((~v90(constB93, 0)) <=> v90(constB92, 0))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12094, 1592])).
% 6.60/4.80 tff(12096,plain,
% 6.60/4.80 ((((~v129(constB92, 2)) <=> v127(constB91, 2)) | ((~v129(constB92, 1)) <=> v127(constB91, 1)) | ((~v129(constB92, 0)) <=> v127(constB91, 0))) | (~((~v129(constB92, 0)) <=> v127(constB91, 0)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12097,plain,
% 6.60/4.80 (~((~v129(constB92, 0)) <=> v127(constB91, 0))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12096, 1601])).
% 6.60/4.80 tff(12098,plain,
% 6.60/4.80 ((((~v127(constB91, 2)) <=> v130(constB91, 2)) | ((~v127(constB91, 1)) <=> v130(constB91, 1)) | ((~v127(constB91, 0)) <=> v130(constB91, 0))) | (~((~v127(constB91, 0)) <=> v130(constB91, 0)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12099,plain,
% 6.60/4.80 (~((~v127(constB91, 0)) <=> v130(constB91, 0))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12098, 1615])).
% 6.60/4.80 tff(12100,plain,
% 6.60/4.80 ((v130(constB91, 1) | v130(constB91, 0) | (~v130(constB91, 2))) | (~v130(constB91, 0))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12101,plain,
% 6.60/4.80 (~v130(constB91, 0)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12100, 11992])).
% 6.60/4.80 tff(12102,plain,
% 6.60/4.80 (((~v127(constB91, 0)) <=> v130(constB91, 0)) | (~v127(constB91, 0)) | v130(constB91, 0)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12103,plain,
% 6.60/4.80 (~v127(constB91, 0)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12102, 12101, 12099])).
% 6.60/4.80 tff(12104,plain,
% 6.60/4.80 (((~v129(constB92, 0)) <=> v127(constB91, 0)) | (~v129(constB92, 0)) | v127(constB91, 0)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12105,plain,
% 6.60/4.80 (~v129(constB92, 0)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12104, 12103, 12097])).
% 6.60/4.80 tff(12106,plain,
% 6.60/4.80 ((((~v90(constB92, 2)) <=> v129(constB92, 2)) | ((~v90(constB92, 1)) <=> v129(constB92, 1)) | ((~v90(constB92, 0)) <=> v129(constB92, 0))) | (~((~v90(constB92, 0)) <=> v129(constB92, 0)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12107,plain,
% 6.60/4.80 (~((~v90(constB92, 0)) <=> v129(constB92, 0))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12106, 12087])).
% 6.60/4.80 tff(12108,plain,
% 6.60/4.80 (((~v90(constB92, 0)) <=> v129(constB92, 0)) | (~v90(constB92, 0)) | v129(constB92, 0)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12109,plain,
% 6.60/4.80 (~v90(constB92, 0)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12108, 12107, 12105])).
% 6.60/4.80 tff(12110,plain,
% 6.60/4.80 (((~v90(constB93, 0)) <=> v90(constB92, 0)) | (~v90(constB93, 0)) | v90(constB92, 0)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12111,plain,
% 6.60/4.80 (~v90(constB93, 0)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12110, 12109, 12095])).
% 6.60/4.80 tff(12112,plain,
% 6.60/4.80 ((((~v90(constB93, 1)) <=> v90(constB92, 1)) | ((~v90(constB93, 2)) <=> v90(constB92, 2)) | ((~v90(constB93, 0)) <=> v90(constB92, 0))) | (~((~v90(constB93, 1)) <=> v90(constB92, 1)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12113,plain,
% 6.60/4.80 (~((~v90(constB93, 1)) <=> v90(constB92, 1))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12112, 1592])).
% 6.60/4.80 tff(12114,plain,
% 6.60/4.80 ((((~v129(constB92, 2)) <=> v127(constB91, 2)) | ((~v129(constB92, 1)) <=> v127(constB91, 1)) | ((~v129(constB92, 0)) <=> v127(constB91, 0))) | (~((~v129(constB92, 1)) <=> v127(constB91, 1)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12115,plain,
% 6.60/4.80 (~((~v129(constB92, 1)) <=> v127(constB91, 1))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12114, 1601])).
% 6.60/4.80 tff(12116,plain,
% 6.60/4.80 ((((~v127(constB91, 2)) <=> v130(constB91, 2)) | ((~v127(constB91, 1)) <=> v130(constB91, 1)) | ((~v127(constB91, 0)) <=> v130(constB91, 0))) | (~((~v127(constB91, 1)) <=> v130(constB91, 1)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12117,plain,
% 6.60/4.80 (~((~v127(constB91, 1)) <=> v130(constB91, 1))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12116, 1615])).
% 6.60/4.80 tff(12118,plain,
% 6.60/4.80 ((v130(constB91, 1) | v130(constB91, 0) | (~v130(constB91, 2))) | (~v130(constB91, 1))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12119,plain,
% 6.60/4.80 (~v130(constB91, 1)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12118, 11992])).
% 6.60/4.80 tff(12120,plain,
% 6.60/4.80 (((~v127(constB91, 1)) <=> v130(constB91, 1)) | (~v127(constB91, 1)) | v130(constB91, 1)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12121,plain,
% 6.60/4.80 (~v127(constB91, 1)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12120, 12119, 12117])).
% 6.60/4.80 tff(12122,plain,
% 6.60/4.80 (((~v129(constB92, 1)) <=> v127(constB91, 1)) | (~v129(constB92, 1)) | v127(constB91, 1)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12123,plain,
% 6.60/4.80 (~v129(constB92, 1)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12122, 12121, 12115])).
% 6.60/4.80 tff(12124,plain,
% 6.60/4.80 ((((~v90(constB92, 2)) <=> v129(constB92, 2)) | ((~v90(constB92, 1)) <=> v129(constB92, 1)) | ((~v90(constB92, 0)) <=> v129(constB92, 0))) | (~((~v90(constB92, 1)) <=> v129(constB92, 1)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12125,plain,
% 6.60/4.80 (~((~v90(constB92, 1)) <=> v129(constB92, 1))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12124, 12087])).
% 6.60/4.80 tff(12126,plain,
% 6.60/4.80 (((~v90(constB92, 1)) <=> v129(constB92, 1)) | (~v90(constB92, 1)) | v129(constB92, 1)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12127,plain,
% 6.60/4.80 (~v90(constB92, 1)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12126, 12125, 12123])).
% 6.60/4.80 tff(12128,plain,
% 6.60/4.80 (((~v90(constB93, 1)) <=> v90(constB92, 1)) | (~v90(constB93, 1)) | v90(constB92, 1)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12129,plain,
% 6.60/4.80 (~v90(constB93, 1)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12128, 12127, 12113])).
% 6.60/4.80 tff(12130,plain,
% 6.60/4.80 ((~(v90(constB93, 1) | v90(constB93, 0) | (~v90(constB93, 2)))) | v90(constB93, 1) | v90(constB93, 0) | (~v90(constB93, 2))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12131,plain,
% 6.60/4.80 (~(v90(constB93, 1) | v90(constB93, 0) | (~v90(constB93, 2)))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12130, 12129, 12111, 12093])).
% 6.60/4.80 tff(12132,plain,
% 6.60/4.80 ((~(v123(constB93) <=> (~(v90(constB93, 1) | v90(constB93, 0) | (~v90(constB93, 2)))))) | v123(constB93) | (v90(constB93, 1) | v90(constB93, 0) | (~v90(constB93, 2)))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12133,plain,
% 6.60/4.80 (v123(constB93)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12132, 12131, 1558])).
% 6.60/4.80 tff(12134,plain,
% 6.60/4.80 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB93)) | (~(v130(constB93, 0) | (~v130(constB93, 2)) | (~v130(constB93, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB93)) | (~(v130(constB93, 0) | (~v130(constB93, 2)) | (~v130(constB93, 1)))))),
% 6.60/4.80 inference(rewrite,[status(thm)],[])).
% 6.60/4.80 tff(12135,plain,
% 6.60/4.80 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB93)) | (~(v130(constB93, 0) | (~v130(constB93, 2)) | (~v130(constB93, 1)))))),
% 6.60/4.80 inference(quant_inst,[status(thm)],[])).
% 6.60/4.80 tff(12136,plain,
% 6.60/4.80 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB93)) | (~(v130(constB93, 0) | (~v130(constB93, 2)) | (~v130(constB93, 1))))),
% 6.60/4.80 inference(modus_ponens,[status(thm)],[12135, 12134])).
% 6.60/4.80 tff(12137,plain,
% 6.60/4.80 ((~v123(constB93)) | (~(v130(constB93, 0) | (~v130(constB93, 2)) | (~v130(constB93, 1))))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12136, 4861])).
% 6.60/4.80 tff(12138,plain,
% 6.60/4.80 (~(v130(constB93, 0) | (~v130(constB93, 2)) | (~v130(constB93, 1)))),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12137, 12133])).
% 6.60/4.80 tff(12139,plain,
% 6.60/4.80 ((v130(constB93, 0) | (~v130(constB93, 2)) | (~v130(constB93, 1))) | (~v130(constB93, 0))),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12140,plain,
% 6.60/4.80 (~v130(constB93, 0)),
% 6.60/4.80 inference(unit_resolution,[status(thm)],[12139, 12138])).
% 6.60/4.80 tff(12141,plain,
% 6.60/4.80 (((~v127(constB93, 0)) <=> v130(constB93, 0)) | (~v127(constB93, 0)) | v130(constB93, 0)),
% 6.60/4.80 inference(tautology,[status(thm)],[])).
% 6.60/4.80 tff(12142,plain,
% 6.60/4.80 (~v127(constB93, 0)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12141, 12140, 1551])).
% 6.60/4.81 tff(12143,plain,
% 6.60/4.81 (((~v129(constB94, 0)) <=> v127(constB93, 0)) | (~v129(constB94, 0)) | v127(constB93, 0)),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12144,plain,
% 6.60/4.81 (~v129(constB94, 0)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12143, 12142, 1537])).
% 6.60/4.81 tff(12145,plain,
% 6.60/4.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12146,plain,
% 6.60/4.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12147,plain,
% 6.60/4.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94)))))),
% 6.60/4.81 inference(modus_ponens,[status(thm)],[12146, 12145])).
% 6.60/4.81 tff(12148,plain,
% 6.60/4.81 (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12147, 1531, 273])).
% 6.60/4.81 tff(12149,plain,
% 6.60/4.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12150,plain,
% 6.60/4.81 (((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94)))))) <=> ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12151,plain,
% 6.60/4.81 (((~![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) <=> (~((~v1(constB94)) | (~v102(constB94)))))))),
% 6.60/4.81 inference(monotonicity,[status(thm)],[12150])).
% 6.60/4.81 tff(12152,plain,
% 6.60/4.81 (((~![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) <=> (~((~v1(constB94)) | (~v102(constB94))))))),
% 6.60/4.81 inference(transitivity,[status(thm)],[12151, 12149])).
% 6.60/4.81 tff(12153,plain,
% 6.60/4.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94))))))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12154,plain,
% 6.60/4.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94)))))),
% 6.60/4.81 inference(modus_ponens,[status(thm)],[12153, 12152])).
% 6.60/4.81 tff(12155,plain,
% 6.60/4.81 (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12154, 1531, 293])).
% 6.60/4.81 tff(12156,plain,
% 6.60/4.81 (((~![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)))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12157,plain,
% 6.60/4.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94)))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12158,plain,
% 6.60/4.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94))),
% 6.60/4.81 inference(modus_ponens,[status(thm)],[12157, 12156])).
% 6.60/4.81 tff(12159,plain,
% 6.60/4.81 ((~v102(constB94)) <=> v104(constB94)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12158, 1531, 4609])).
% 6.60/4.81 tff(12160,plain,
% 6.60/4.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93)))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12161,plain,
% 6.60/4.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93)))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12162,plain,
% 6.60/4.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93))),
% 6.60/4.81 inference(modus_ponens,[status(thm)],[12161, 12160])).
% 6.60/4.81 tff(12163,plain,
% 6.60/4.81 (v104(constB94) <=> v1(constB93)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12162, 1531, 4623])).
% 6.60/4.81 tff(12164,plain,
% 6.60/4.81 ((~(v104(constB94) <=> v1(constB93))) | (~v104(constB94)) | v1(constB93)),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12165,plain,
% 6.60/4.81 ((~(v104(constB94) <=> v1(constB93))) | (~v104(constB94))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12164, 1575])).
% 6.60/4.81 tff(12166,plain,
% 6.60/4.81 (~v104(constB94)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12165, 12163])).
% 6.60/4.81 tff(12167,plain,
% 6.60/4.81 ((~((~v102(constB94)) <=> v104(constB94))) | v102(constB94) | v104(constB94)),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12168,plain,
% 6.60/4.81 (v102(constB94)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12167, 12166, 12159])).
% 6.60/4.81 tff(12169,plain,
% 6.60/4.81 (v1(constB94) <=> v1(constB94)),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12170,axiom,(v1(constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_94')).
% 6.60/4.81 tff(12171,plain,
% 6.60/4.81 (v1(constB94)),
% 6.60/4.81 inference(modus_ponens,[status(thm)],[12170, 12169])).
% 6.60/4.81 tff(12172,plain,
% 6.60/4.81 ((~((~v1(constB94)) | (~v102(constB94)))) | (~v1(constB94)) | (~v102(constB94))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12173,plain,
% 6.60/4.81 ((~((~v1(constB94)) | (~v102(constB94)))) | (~v102(constB94))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12172, 12171])).
% 6.60/4.81 tff(12174,plain,
% 6.60/4.81 (~((~v1(constB94)) | (~v102(constB94)))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12173, 12168])).
% 6.60/4.81 tff(12175,plain,
% 6.60/4.81 ((~(v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94)))))) | v101(constB94) | ((~v1(constB94)) | (~v102(constB94)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12176,plain,
% 6.60/4.81 (v101(constB94)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12175, 12174, 12155])).
% 6.60/4.81 tff(12177,plain,
% 6.60/4.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93)))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12178,plain,
% 6.60/4.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93)))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12179,plain,
% 6.60/4.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93))),
% 6.60/4.81 inference(modus_ponens,[status(thm)],[12178, 12177])).
% 6.60/4.81 tff(12180,plain,
% 6.60/4.81 (v110(constB94) <=> v108(constB93)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12179, 1531, 4650])).
% 6.60/4.81 tff(12181,plain,
% 6.60/4.81 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB93) <=> (v111(constB93) | v112(constB93)))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12182,plain,
% 6.60/4.81 (v108(constB93) <=> (v111(constB93) | v112(constB93))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12181, 4661])).
% 6.60/4.81 tff(12183,plain,
% 6.60/4.81 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93)))))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12184,plain,
% 6.60/4.81 (v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93))))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12183, 4673])).
% 6.60/4.81 tff(12185,plain,
% 6.60/4.81 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB93) <=> (v114(constB93) | v125(constB93)))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12186,plain,
% 6.60/4.81 (v113(constB93) <=> (v114(constB93) | v125(constB93))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12185, 4682])).
% 6.60/4.81 tff(12187,plain,
% 6.60/4.81 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB93) <=> (v115(constB93) | v124(constB93)))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12188,plain,
% 6.60/4.81 (v114(constB93) <=> (v115(constB93) | v124(constB93))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12187, 4691])).
% 6.60/4.81 tff(12189,plain,
% 6.60/4.81 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB93) <=> (v116(constB93) | v123(constB93)))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12190,plain,
% 6.60/4.81 (v115(constB93) <=> (v116(constB93) | v123(constB93))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12189, 4700])).
% 6.60/4.81 tff(12191,plain,
% 6.60/4.81 ((v116(constB93) | v123(constB93)) | (~v123(constB93))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12192,plain,
% 6.60/4.81 (v116(constB93) | v123(constB93)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12191, 12133])).
% 6.60/4.81 tff(12193,plain,
% 6.60/4.81 ((~(v115(constB93) <=> (v116(constB93) | v123(constB93)))) | v115(constB93) | (~(v116(constB93) | v123(constB93)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12194,plain,
% 6.60/4.81 (v115(constB93)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12193, 12192, 12190])).
% 6.60/4.81 tff(12195,plain,
% 6.60/4.81 ((v115(constB93) | v124(constB93)) | (~v115(constB93))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12196,plain,
% 6.60/4.81 (v115(constB93) | v124(constB93)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12195, 12194])).
% 6.60/4.81 tff(12197,plain,
% 6.60/4.81 ((~(v114(constB93) <=> (v115(constB93) | v124(constB93)))) | v114(constB93) | (~(v115(constB93) | v124(constB93)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12198,plain,
% 6.60/4.81 (v114(constB93)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12197, 12196, 12188])).
% 6.60/4.81 tff(12199,plain,
% 6.60/4.81 ((v114(constB93) | v125(constB93)) | (~v114(constB93))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12200,plain,
% 6.60/4.81 (v114(constB93) | v125(constB93)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12199, 12198])).
% 6.60/4.81 tff(12201,plain,
% 6.60/4.81 ((~(v113(constB93) <=> (v114(constB93) | v125(constB93)))) | v113(constB93) | (~(v114(constB93) | v125(constB93)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12202,plain,
% 6.60/4.81 (v113(constB93)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12201, 12200, 12186])).
% 6.60/4.81 tff(12203,plain,
% 6.60/4.81 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB93)) <=> v111(constB93))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12204,plain,
% 6.60/4.81 ((~v126(constB93)) <=> v111(constB93)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12203, 4761])).
% 6.60/4.81 tff(12205,plain,
% 6.60/4.81 ((~((~v126(constB93)) <=> v111(constB93))) | v126(constB93) | v111(constB93)),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12206,plain,
% 6.60/4.81 ((~((~v126(constB93)) <=> v111(constB93))) | v126(constB93)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12205, 1544])).
% 6.60/4.81 tff(12207,plain,
% 6.60/4.81 (v126(constB93)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12206, 12204])).
% 6.60/4.81 tff(12208,plain,
% 6.60/4.81 ((~((~v113(constB93)) | (~v126(constB93)))) | (~v113(constB93)) | (~v126(constB93))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12209,plain,
% 6.60/4.81 ((~((~v113(constB93)) | (~v126(constB93)))) | (~v113(constB93))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12208, 12207])).
% 6.60/4.81 tff(12210,plain,
% 6.60/4.81 (~((~v113(constB93)) | (~v126(constB93)))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12209, 12202])).
% 6.60/4.81 tff(12211,plain,
% 6.60/4.81 ((~(v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93)))))) | v112(constB93) | ((~v113(constB93)) | (~v126(constB93)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12212,plain,
% 6.60/4.81 (v112(constB93)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12211, 12210, 12184])).
% 6.60/4.81 tff(12213,plain,
% 6.60/4.81 ((v111(constB93) | v112(constB93)) | (~v112(constB93))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12214,plain,
% 6.60/4.81 (v111(constB93) | v112(constB93)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12213, 12212])).
% 6.60/4.81 tff(12215,plain,
% 6.60/4.81 ((~(v108(constB93) <=> (v111(constB93) | v112(constB93)))) | v108(constB93) | (~(v111(constB93) | v112(constB93)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12216,plain,
% 6.60/4.81 (v108(constB93)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12215, 12214, 12182])).
% 6.60/4.81 tff(12217,plain,
% 6.60/4.81 ((~(v110(constB94) <=> v108(constB93))) | v110(constB94) | (~v108(constB93))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12218,plain,
% 6.60/4.81 (v110(constB94)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12217, 12216, 12180])).
% 6.60/4.81 tff(12219,plain,
% 6.60/4.81 ((~((~v101(constB94)) | (~v110(constB94)))) | (~v101(constB94)) | (~v110(constB94))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12220,plain,
% 6.60/4.81 (~((~v101(constB94)) | (~v110(constB94)))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12219, 12218, 12176])).
% 6.60/4.81 tff(12221,plain,
% 6.60/4.81 ((~(v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94)))))) | v100(constB94) | ((~v101(constB94)) | (~v110(constB94)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12222,plain,
% 6.60/4.81 (v100(constB94)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12221, 12220, 12148])).
% 6.60/4.81 tff(12223,plain,
% 6.60/4.81 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB94)) | (~(((~v90(constB94, 0)) <=> v129(constB94, 0)) | ((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB94)) | (~(((~v90(constB94, 0)) <=> v129(constB94, 0)) | ((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1)))))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12224,plain,
% 6.60/4.81 (((~v100(constB94)) | (~(((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1)) | ((~v90(constB94, 0)) <=> v129(constB94, 0))))) <=> ((~v100(constB94)) | (~(((~v90(constB94, 0)) <=> v129(constB94, 0)) | ((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1)))))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12225,plain,
% 6.60/4.81 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB94)) | (~(((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1)) | ((~v90(constB94, 0)) <=> v129(constB94, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB94)) | (~(((~v90(constB94, 0)) <=> v129(constB94, 0)) | ((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1))))))),
% 6.60/4.81 inference(monotonicity,[status(thm)],[12224])).
% 6.60/4.81 tff(12226,plain,
% 6.60/4.81 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB94)) | (~(((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1)) | ((~v90(constB94, 0)) <=> v129(constB94, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB94)) | (~(((~v90(constB94, 0)) <=> v129(constB94, 0)) | ((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1)))))),
% 6.60/4.81 inference(transitivity,[status(thm)],[12225, 12223])).
% 6.60/4.81 tff(12227,plain,
% 6.60/4.81 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB94)) | (~(((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1)) | ((~v90(constB94, 0)) <=> v129(constB94, 0)))))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12228,plain,
% 6.60/4.81 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB94)) | (~(((~v90(constB94, 0)) <=> v129(constB94, 0)) | ((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1))))),
% 6.60/4.81 inference(modus_ponens,[status(thm)],[12227, 12226])).
% 6.60/4.81 tff(12229,plain,
% 6.60/4.81 ((~v100(constB94)) | (~(((~v90(constB94, 0)) <=> v129(constB94, 0)) | ((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1))))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12228, 4794])).
% 6.60/4.81 tff(12230,plain,
% 6.60/4.81 (~(((~v90(constB94, 0)) <=> v129(constB94, 0)) | ((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1)))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12229, 12222])).
% 6.60/4.81 tff(12231,plain,
% 6.60/4.81 ((((~v90(constB94, 0)) <=> v129(constB94, 0)) | ((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1))) | (~((~v90(constB94, 0)) <=> v129(constB94, 0)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12232,plain,
% 6.60/4.81 (~((~v90(constB94, 0)) <=> v129(constB94, 0))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12231, 12230])).
% 6.60/4.81 tff(12233,plain,
% 6.60/4.81 (((~v90(constB94, 0)) <=> v129(constB94, 0)) | (~v90(constB94, 0)) | v129(constB94, 0)),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12234,plain,
% 6.60/4.81 (~v90(constB94, 0)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12233, 12232, 12144])).
% 6.60/4.81 tff(12235,plain,
% 6.60/4.81 (((~v90(constB95, 0)) <=> v90(constB94, 0)) | (~v90(constB95, 0)) | v90(constB94, 0)),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12236,plain,
% 6.60/4.81 (~v90(constB95, 0)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12235, 12234, 1528])).
% 6.60/4.81 tff(12237,plain,
% 6.60/4.81 ((v90(constB95, 1) | v90(constB95, 2) | (~v90(constB95, 0))) | v90(constB95, 0)),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12238,plain,
% 6.60/4.81 (v90(constB95, 1) | v90(constB95, 2) | (~v90(constB95, 0))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12237, 12236])).
% 6.60/4.81 tff(12239,plain,
% 6.60/4.81 ((~(v120(constB95) <=> (~(v90(constB95, 1) | v90(constB95, 2) | (~v90(constB95, 0)))))) | (~v120(constB95)) | (~(v90(constB95, 1) | v90(constB95, 2) | (~v90(constB95, 0))))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12240,plain,
% 6.60/4.81 (~v120(constB95)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12239, 12238, 1492])).
% 6.60/4.81 tff(12241,plain,
% 6.60/4.81 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB95) <=> (~(v90(constB95, 1) | (~v90(constB95, 2)) | (~v90(constB95, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB95) <=> (~(v90(constB95, 1) | (~v90(constB95, 2)) | (~v90(constB95, 0))))))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12242,plain,
% 6.60/4.81 ((v124(constB95) <=> (~(v90(constB95, 1) | (~v90(constB95, 0)) | (~v90(constB95, 2))))) <=> (v124(constB95) <=> (~(v90(constB95, 1) | (~v90(constB95, 2)) | (~v90(constB95, 0)))))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12243,plain,
% 6.60/4.81 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB95) <=> (~(v90(constB95, 1) | (~v90(constB95, 0)) | (~v90(constB95, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB95) <=> (~(v90(constB95, 1) | (~v90(constB95, 2)) | (~v90(constB95, 0))))))),
% 6.60/4.81 inference(monotonicity,[status(thm)],[12242])).
% 6.60/4.81 tff(12244,plain,
% 6.60/4.81 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB95) <=> (~(v90(constB95, 1) | (~v90(constB95, 0)) | (~v90(constB95, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB95) <=> (~(v90(constB95, 1) | (~v90(constB95, 2)) | (~v90(constB95, 0))))))),
% 6.60/4.81 inference(transitivity,[status(thm)],[12243, 12241])).
% 6.60/4.81 tff(12245,plain,
% 6.60/4.81 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB95) <=> (~(v90(constB95, 1) | (~v90(constB95, 0)) | (~v90(constB95, 2)))))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12246,plain,
% 6.60/4.81 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB95) <=> (~(v90(constB95, 1) | (~v90(constB95, 2)) | (~v90(constB95, 0)))))),
% 6.60/4.81 inference(modus_ponens,[status(thm)],[12245, 12244])).
% 6.60/4.81 tff(12247,plain,
% 6.60/4.81 (v124(constB95) <=> (~(v90(constB95, 1) | (~v90(constB95, 2)) | (~v90(constB95, 0))))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12246, 4978])).
% 6.60/4.81 tff(12248,plain,
% 6.60/4.81 ((v90(constB95, 1) | (~v90(constB95, 2)) | (~v90(constB95, 0))) | v90(constB95, 0)),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12249,plain,
% 6.60/4.81 (v90(constB95, 1) | (~v90(constB95, 2)) | (~v90(constB95, 0))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12248, 12236])).
% 6.60/4.81 tff(12250,plain,
% 6.60/4.81 ((~(v124(constB95) <=> (~(v90(constB95, 1) | (~v90(constB95, 2)) | (~v90(constB95, 0)))))) | (~v124(constB95)) | (~(v90(constB95, 1) | (~v90(constB95, 2)) | (~v90(constB95, 0))))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12251,plain,
% 6.60/4.81 (~v124(constB95)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12250, 12249, 12247])).
% 6.60/4.81 tff(12252,plain,
% 6.60/4.81 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB95) <=> (~(v90(constB95, 1) | v90(constB95, 0) | (~v90(constB95, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB95) <=> (~(v90(constB95, 1) | v90(constB95, 0) | (~v90(constB95, 2))))))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12253,plain,
% 6.60/4.81 ((v123(constB95) <=> (~(v90(constB95, 0) | v90(constB95, 1) | (~v90(constB95, 2))))) <=> (v123(constB95) <=> (~(v90(constB95, 1) | v90(constB95, 0) | (~v90(constB95, 2)))))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12254,plain,
% 6.60/4.81 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB95) <=> (~(v90(constB95, 0) | v90(constB95, 1) | (~v90(constB95, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB95) <=> (~(v90(constB95, 1) | v90(constB95, 0) | (~v90(constB95, 2))))))),
% 6.60/4.81 inference(monotonicity,[status(thm)],[12253])).
% 6.60/4.81 tff(12255,plain,
% 6.60/4.81 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB95) <=> (~(v90(constB95, 0) | v90(constB95, 1) | (~v90(constB95, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB95) <=> (~(v90(constB95, 1) | v90(constB95, 0) | (~v90(constB95, 2))))))),
% 6.60/4.81 inference(transitivity,[status(thm)],[12254, 12252])).
% 6.60/4.81 tff(12256,plain,
% 6.60/4.81 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB95) <=> (~(v90(constB95, 0) | v90(constB95, 1) | (~v90(constB95, 2)))))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12257,plain,
% 6.60/4.81 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB95) <=> (~(v90(constB95, 1) | v90(constB95, 0) | (~v90(constB95, 2)))))),
% 6.60/4.81 inference(modus_ponens,[status(thm)],[12256, 12255])).
% 6.60/4.81 tff(12258,plain,
% 6.60/4.81 (v123(constB95) <=> (~(v90(constB95, 1) | v90(constB95, 0) | (~v90(constB95, 2))))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12257, 565])).
% 6.60/4.81 tff(12259,plain,
% 6.60/4.81 ((((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 0)) <=> v90(constB94, 0))) | (~((~v90(constB95, 1)) <=> v90(constB94, 1)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12260,plain,
% 6.60/4.81 (~((~v90(constB95, 1)) <=> v90(constB94, 1))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12259, 1526])).
% 6.60/4.81 tff(12261,plain,
% 6.60/4.81 ((((~v129(constB94, 2)) <=> v127(constB93, 2)) | ((~v129(constB94, 1)) <=> v127(constB93, 1)) | ((~v129(constB94, 0)) <=> v127(constB93, 0))) | (~((~v129(constB94, 1)) <=> v127(constB93, 1)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12262,plain,
% 6.60/4.81 (~((~v129(constB94, 1)) <=> v127(constB93, 1))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12261, 1535])).
% 6.60/4.81 tff(12263,plain,
% 6.60/4.81 ((((~v127(constB93, 2)) <=> v130(constB93, 2)) | ((~v127(constB93, 1)) <=> v130(constB93, 1)) | ((~v127(constB93, 0)) <=> v130(constB93, 0))) | (~((~v127(constB93, 1)) <=> v130(constB93, 1)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12264,plain,
% 6.60/4.81 (~((~v127(constB93, 1)) <=> v130(constB93, 1))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12263, 1549])).
% 6.60/4.81 tff(12265,plain,
% 6.60/4.81 ((v130(constB93, 0) | (~v130(constB93, 2)) | (~v130(constB93, 1))) | v130(constB93, 1)),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12266,plain,
% 6.60/4.81 (v130(constB93, 1)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12265, 12138])).
% 6.60/4.81 tff(12267,plain,
% 6.60/4.81 (((~v127(constB93, 1)) <=> v130(constB93, 1)) | v127(constB93, 1) | (~v130(constB93, 1))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12268,plain,
% 6.60/4.81 (v127(constB93, 1)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12267, 12266, 12264])).
% 6.60/4.81 tff(12269,plain,
% 6.60/4.81 (((~v129(constB94, 1)) <=> v127(constB93, 1)) | v129(constB94, 1) | (~v127(constB93, 1))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12270,plain,
% 6.60/4.81 (v129(constB94, 1)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12269, 12268, 12262])).
% 6.60/4.81 tff(12271,plain,
% 6.60/4.81 ((((~v90(constB94, 0)) <=> v129(constB94, 0)) | ((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1))) | (~((~v90(constB94, 1)) <=> v129(constB94, 1)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12272,plain,
% 6.60/4.81 (~((~v90(constB94, 1)) <=> v129(constB94, 1))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12271, 12230])).
% 6.60/4.81 tff(12273,plain,
% 6.60/4.81 (((~v90(constB94, 1)) <=> v129(constB94, 1)) | v90(constB94, 1) | (~v129(constB94, 1))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12274,plain,
% 6.60/4.81 (v90(constB94, 1)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12273, 12272, 12270])).
% 6.60/4.81 tff(12275,plain,
% 6.60/4.81 (((~v90(constB95, 1)) <=> v90(constB94, 1)) | v90(constB95, 1) | (~v90(constB94, 1))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12276,plain,
% 6.60/4.81 (v90(constB95, 1)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12275, 12274, 12260])).
% 6.60/4.81 tff(12277,plain,
% 6.60/4.81 ((v90(constB95, 1) | v90(constB95, 0) | (~v90(constB95, 2))) | (~v90(constB95, 1))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12278,plain,
% 6.60/4.81 (v90(constB95, 1) | v90(constB95, 0) | (~v90(constB95, 2))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12277, 12276])).
% 6.60/4.81 tff(12279,plain,
% 6.60/4.81 ((~(v123(constB95) <=> (~(v90(constB95, 1) | v90(constB95, 0) | (~v90(constB95, 2)))))) | (~v123(constB95)) | (~(v90(constB95, 1) | v90(constB95, 0) | (~v90(constB95, 2))))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12280,plain,
% 6.60/4.81 (~v123(constB95)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12279, 12278, 12258])).
% 6.60/4.81 tff(12281,plain,
% 6.60/4.81 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB95) <=> (~(v90(constB95, 2) | (~v90(constB95, 1)) | (~v90(constB95, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB95) <=> (~(v90(constB95, 2) | (~v90(constB95, 1)) | (~v90(constB95, 0))))))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12282,plain,
% 6.60/4.81 ((v122(constB95) <=> (~(v90(constB95, 2) | (~v90(constB95, 0)) | (~v90(constB95, 1))))) <=> (v122(constB95) <=> (~(v90(constB95, 2) | (~v90(constB95, 1)) | (~v90(constB95, 0)))))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12283,plain,
% 6.60/4.81 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB95) <=> (~(v90(constB95, 2) | (~v90(constB95, 0)) | (~v90(constB95, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB95) <=> (~(v90(constB95, 2) | (~v90(constB95, 1)) | (~v90(constB95, 0))))))),
% 6.60/4.81 inference(monotonicity,[status(thm)],[12282])).
% 6.60/4.81 tff(12284,plain,
% 6.60/4.81 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB95) <=> (~(v90(constB95, 2) | (~v90(constB95, 0)) | (~v90(constB95, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB95) <=> (~(v90(constB95, 2) | (~v90(constB95, 1)) | (~v90(constB95, 0))))))),
% 6.60/4.81 inference(transitivity,[status(thm)],[12283, 12281])).
% 6.60/4.81 tff(12285,plain,
% 6.60/4.81 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB95) <=> (~(v90(constB95, 2) | (~v90(constB95, 0)) | (~v90(constB95, 1)))))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12286,plain,
% 6.60/4.81 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB95) <=> (~(v90(constB95, 2) | (~v90(constB95, 1)) | (~v90(constB95, 0)))))),
% 6.60/4.81 inference(modus_ponens,[status(thm)],[12285, 12284])).
% 6.60/4.81 tff(12287,plain,
% 6.60/4.81 (v122(constB95) <=> (~(v90(constB95, 2) | (~v90(constB95, 1)) | (~v90(constB95, 0))))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12286, 644])).
% 6.60/4.81 tff(12288,plain,
% 6.60/4.81 ((v90(constB95, 2) | (~v90(constB95, 1)) | (~v90(constB95, 0))) | v90(constB95, 0)),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12289,plain,
% 6.60/4.81 (v90(constB95, 2) | (~v90(constB95, 1)) | (~v90(constB95, 0))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12288, 12236])).
% 6.60/4.81 tff(12290,plain,
% 6.60/4.81 ((~(v122(constB95) <=> (~(v90(constB95, 2) | (~v90(constB95, 1)) | (~v90(constB95, 0)))))) | (~v122(constB95)) | (~(v90(constB95, 2) | (~v90(constB95, 1)) | (~v90(constB95, 0))))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12291,plain,
% 6.60/4.81 (~v122(constB95)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12290, 12289, 12287])).
% 6.60/4.81 tff(12292,plain,
% 6.60/4.81 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB95) <=> (~(v90(constB95, 2) | v90(constB95, 0) | (~v90(constB95, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB95) <=> (~(v90(constB95, 2) | v90(constB95, 0) | (~v90(constB95, 1))))))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12293,plain,
% 6.60/4.81 ((v121(constB95) <=> (~(v90(constB95, 0) | v90(constB95, 2) | (~v90(constB95, 1))))) <=> (v121(constB95) <=> (~(v90(constB95, 2) | v90(constB95, 0) | (~v90(constB95, 1)))))),
% 6.60/4.81 inference(rewrite,[status(thm)],[])).
% 6.60/4.81 tff(12294,plain,
% 6.60/4.81 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB95) <=> (~(v90(constB95, 0) | v90(constB95, 2) | (~v90(constB95, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB95) <=> (~(v90(constB95, 2) | v90(constB95, 0) | (~v90(constB95, 1))))))),
% 6.60/4.81 inference(monotonicity,[status(thm)],[12293])).
% 6.60/4.81 tff(12295,plain,
% 6.60/4.81 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB95) <=> (~(v90(constB95, 0) | v90(constB95, 2) | (~v90(constB95, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB95) <=> (~(v90(constB95, 2) | v90(constB95, 0) | (~v90(constB95, 1))))))),
% 6.60/4.81 inference(transitivity,[status(thm)],[12294, 12292])).
% 6.60/4.81 tff(12296,plain,
% 6.60/4.81 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB95) <=> (~(v90(constB95, 0) | v90(constB95, 2) | (~v90(constB95, 1)))))),
% 6.60/4.81 inference(quant_inst,[status(thm)],[])).
% 6.60/4.81 tff(12297,plain,
% 6.60/4.81 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB95) <=> (~(v90(constB95, 2) | v90(constB95, 0) | (~v90(constB95, 1)))))),
% 6.60/4.81 inference(modus_ponens,[status(thm)],[12296, 12295])).
% 6.60/4.81 tff(12298,plain,
% 6.60/4.81 (v121(constB95) <=> (~(v90(constB95, 2) | v90(constB95, 0) | (~v90(constB95, 1))))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12297, 723])).
% 6.60/4.81 tff(12299,plain,
% 6.60/4.81 ((((~v90(constB95, 1)) <=> v90(constB94, 1)) | ((~v90(constB95, 2)) <=> v90(constB94, 2)) | ((~v90(constB95, 0)) <=> v90(constB94, 0))) | (~((~v90(constB95, 2)) <=> v90(constB94, 2)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12300,plain,
% 6.60/4.81 (~((~v90(constB95, 2)) <=> v90(constB94, 2))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12299, 1526])).
% 6.60/4.81 tff(12301,plain,
% 6.60/4.81 ((((~v129(constB94, 2)) <=> v127(constB93, 2)) | ((~v129(constB94, 1)) <=> v127(constB93, 1)) | ((~v129(constB94, 0)) <=> v127(constB93, 0))) | (~((~v129(constB94, 2)) <=> v127(constB93, 2)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12302,plain,
% 6.60/4.81 (~((~v129(constB94, 2)) <=> v127(constB93, 2))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12301, 1535])).
% 6.60/4.81 tff(12303,plain,
% 6.60/4.81 ((((~v127(constB93, 2)) <=> v130(constB93, 2)) | ((~v127(constB93, 1)) <=> v130(constB93, 1)) | ((~v127(constB93, 0)) <=> v130(constB93, 0))) | (~((~v127(constB93, 2)) <=> v130(constB93, 2)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12304,plain,
% 6.60/4.81 (~((~v127(constB93, 2)) <=> v130(constB93, 2))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12303, 1549])).
% 6.60/4.81 tff(12305,plain,
% 6.60/4.81 ((v130(constB93, 0) | (~v130(constB93, 2)) | (~v130(constB93, 1))) | v130(constB93, 2)),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12306,plain,
% 6.60/4.81 (v130(constB93, 2)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12305, 12138])).
% 6.60/4.81 tff(12307,plain,
% 6.60/4.81 (((~v127(constB93, 2)) <=> v130(constB93, 2)) | v127(constB93, 2) | (~v130(constB93, 2))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12308,plain,
% 6.60/4.81 (v127(constB93, 2)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12307, 12306, 12304])).
% 6.60/4.81 tff(12309,plain,
% 6.60/4.81 (((~v129(constB94, 2)) <=> v127(constB93, 2)) | v129(constB94, 2) | (~v127(constB93, 2))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12310,plain,
% 6.60/4.81 (v129(constB94, 2)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12309, 12308, 12302])).
% 6.60/4.81 tff(12311,plain,
% 6.60/4.81 ((((~v90(constB94, 0)) <=> v129(constB94, 0)) | ((~v90(constB94, 2)) <=> v129(constB94, 2)) | ((~v90(constB94, 1)) <=> v129(constB94, 1))) | (~((~v90(constB94, 2)) <=> v129(constB94, 2)))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12312,plain,
% 6.60/4.81 (~((~v90(constB94, 2)) <=> v129(constB94, 2))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12311, 12230])).
% 6.60/4.81 tff(12313,plain,
% 6.60/4.81 (((~v90(constB94, 2)) <=> v129(constB94, 2)) | v90(constB94, 2) | (~v129(constB94, 2))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12314,plain,
% 6.60/4.81 (v90(constB94, 2)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12313, 12312, 12310])).
% 6.60/4.81 tff(12315,plain,
% 6.60/4.81 (((~v90(constB95, 2)) <=> v90(constB94, 2)) | v90(constB95, 2) | (~v90(constB94, 2))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12316,plain,
% 6.60/4.81 (v90(constB95, 2)),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12315, 12314, 12300])).
% 6.60/4.81 tff(12317,plain,
% 6.60/4.81 ((v90(constB95, 2) | v90(constB95, 0) | (~v90(constB95, 1))) | (~v90(constB95, 2))),
% 6.60/4.81 inference(tautology,[status(thm)],[])).
% 6.60/4.81 tff(12318,plain,
% 6.60/4.81 (v90(constB95, 2) | v90(constB95, 0) | (~v90(constB95, 1))),
% 6.60/4.81 inference(unit_resolution,[status(thm)],[12317, 12316])).
% 6.60/4.81 tff(12319,plain,
% 6.60/4.81 ((~(v121(constB95) <=> (~(v90(constB95, 2) | v90(constB95, 0) | (~v90(constB95, 1)))))) | (~v121(constB95)) | (~(v90(constB95, 2) | v90(constB95, 0) | (~v90(constB95, 1))))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12320,plain,
% 6.60/4.82 (~v121(constB95)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12319, 12318, 12298])).
% 6.60/4.82 tff(12321,plain,
% 6.60/4.82 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB95) <=> (~(v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2))))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12322,plain,
% 6.60/4.82 (v119(constB95) <=> (~(v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2)))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12321, 491])).
% 6.60/4.82 tff(12323,plain,
% 6.60/4.82 ((v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2)) | (~v90(constB95, 2))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12324,plain,
% 6.60/4.82 (v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12323, 12316])).
% 6.60/4.82 tff(12325,plain,
% 6.60/4.82 ((~(v119(constB95) <=> (~(v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2))))) | (~v119(constB95)) | (~(v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12326,plain,
% 6.60/4.82 (~v119(constB95)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12325, 12324, 12322])).
% 6.60/4.82 tff(12327,plain,
% 6.60/4.82 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0)))))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12328,plain,
% 6.60/4.82 ((v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~(v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0))))) <=> (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0)))))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12329,plain,
% 6.60/4.82 ((~(v130(constB95, 1) | v130(constB95, 2) | (~v130(constB95, 0)))) <=> (~(v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0))))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12330,plain,
% 6.60/4.82 ((v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~(v130(constB95, 1) | v130(constB95, 2) | (~v130(constB95, 0))))) <=> (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~(v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0)))))),
% 6.60/4.82 inference(monotonicity,[status(thm)],[12329])).
% 6.60/4.82 tff(12331,plain,
% 6.60/4.82 ((v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~(v130(constB95, 1) | v130(constB95, 2) | (~v130(constB95, 0))))) <=> (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0)))))),
% 6.60/4.82 inference(transitivity,[status(thm)],[12330, 12328])).
% 6.60/4.82 tff(12332,plain,
% 6.60/4.82 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~(v130(constB95, 1) | v130(constB95, 2) | (~v130(constB95, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0))))))),
% 6.60/4.82 inference(monotonicity,[status(thm)],[12331])).
% 6.60/4.82 tff(12333,plain,
% 6.60/4.82 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~(v130(constB95, 1) | v130(constB95, 2) | (~v130(constB95, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0)))))),
% 6.60/4.82 inference(transitivity,[status(thm)],[12332, 12327])).
% 6.60/4.82 tff(12334,plain,
% 6.60/4.82 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~(v130(constB95, 1) | v130(constB95, 2) | (~v130(constB95, 0)))))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12335,plain,
% 6.60/4.82 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0))))),
% 6.60/4.82 inference(modus_ponens,[status(thm)],[12334, 12333])).
% 6.60/4.82 tff(12336,plain,
% 6.60/4.82 (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0))))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12335, 5059])).
% 6.60/4.82 tff(12337,plain,
% 6.60/4.82 (~(v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0)))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12336, 12326, 12320, 12291, 12280, 12251, 12240])).
% 6.60/4.82 tff(12338,plain,
% 6.60/4.82 ((v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0))) | (~v130(constB95, 2))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12339,plain,
% 6.60/4.82 (~v130(constB95, 2)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12338, 12337])).
% 6.60/4.82 tff(12340,plain,
% 6.60/4.82 (((~v127(constB95, 2)) <=> v130(constB95, 2)) | (~v127(constB95, 2)) | v130(constB95, 2)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12341,plain,
% 6.60/4.82 (~v127(constB95, 2)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12340, 12339, 1490])).
% 6.60/4.82 tff(12342,plain,
% 6.60/4.82 (((~v129(constB96, 2)) <=> v127(constB95, 2)) | (~v129(constB96, 2)) | v127(constB95, 2)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12343,plain,
% 6.60/4.82 (~v129(constB96, 2)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12342, 12341, 1476])).
% 6.60/4.82 tff(12344,plain,
% 6.60/4.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12345,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12346,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96)))))),
% 6.60/4.82 inference(modus_ponens,[status(thm)],[12345, 12344])).
% 6.60/4.82 tff(12347,plain,
% 6.60/4.82 (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12346, 1470, 273])).
% 6.60/4.82 tff(12348,plain,
% 6.60/4.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12349,plain,
% 6.60/4.82 (((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96)))))) <=> ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12350,plain,
% 6.60/4.82 (((~![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) <=> (~((~v1(constB96)) | (~v102(constB96)))))))),
% 6.60/4.82 inference(monotonicity,[status(thm)],[12349])).
% 6.60/4.82 tff(12351,plain,
% 6.60/4.82 (((~![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) <=> (~((~v1(constB96)) | (~v102(constB96))))))),
% 6.60/4.82 inference(transitivity,[status(thm)],[12350, 12348])).
% 6.60/4.82 tff(12352,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96))))))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12353,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96)))))),
% 6.60/4.82 inference(modus_ponens,[status(thm)],[12352, 12351])).
% 6.60/4.82 tff(12354,plain,
% 6.60/4.82 (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12353, 1470, 293])).
% 6.60/4.82 tff(12355,plain,
% 6.60/4.82 (((~![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)))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12356,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96)))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12357,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96))),
% 6.60/4.82 inference(modus_ponens,[status(thm)],[12356, 12355])).
% 6.60/4.82 tff(12358,plain,
% 6.60/4.82 ((~v102(constB96)) <=> v104(constB96)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12357, 1470, 4609])).
% 6.60/4.82 tff(12359,plain,
% 6.60/4.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95)))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12360,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95)))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12361,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95))),
% 6.60/4.82 inference(modus_ponens,[status(thm)],[12360, 12359])).
% 6.60/4.82 tff(12362,plain,
% 6.60/4.82 (v104(constB96) <=> v1(constB95)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12361, 1470, 4623])).
% 6.60/4.82 tff(12363,plain,
% 6.60/4.82 ((~(v104(constB96) <=> v1(constB95))) | (~v104(constB96)) | v1(constB95)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12364,plain,
% 6.60/4.82 ((~(v104(constB96) <=> v1(constB95))) | (~v104(constB96))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12363, 1509])).
% 6.60/4.82 tff(12365,plain,
% 6.60/4.82 (~v104(constB96)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12364, 12362])).
% 6.60/4.82 tff(12366,plain,
% 6.60/4.82 ((~((~v102(constB96)) <=> v104(constB96))) | v102(constB96) | v104(constB96)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12367,plain,
% 6.60/4.82 (v102(constB96)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12366, 12365, 12358])).
% 6.60/4.82 tff(12368,plain,
% 6.60/4.82 (v1(constB96) <=> v1(constB96)),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12369,axiom,(v1(constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_96')).
% 6.60/4.82 tff(12370,plain,
% 6.60/4.82 (v1(constB96)),
% 6.60/4.82 inference(modus_ponens,[status(thm)],[12369, 12368])).
% 6.60/4.82 tff(12371,plain,
% 6.60/4.82 ((~((~v1(constB96)) | (~v102(constB96)))) | (~v1(constB96)) | (~v102(constB96))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12372,plain,
% 6.60/4.82 ((~((~v1(constB96)) | (~v102(constB96)))) | (~v102(constB96))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12371, 12370])).
% 6.60/4.82 tff(12373,plain,
% 6.60/4.82 (~((~v1(constB96)) | (~v102(constB96)))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12372, 12367])).
% 6.60/4.82 tff(12374,plain,
% 6.60/4.82 ((~(v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96)))))) | v101(constB96) | ((~v1(constB96)) | (~v102(constB96)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12375,plain,
% 6.60/4.82 (v101(constB96)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12374, 12373, 12354])).
% 6.60/4.82 tff(12376,plain,
% 6.60/4.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95)))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12377,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95)))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12378,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95))),
% 6.60/4.82 inference(modus_ponens,[status(thm)],[12377, 12376])).
% 6.60/4.82 tff(12379,plain,
% 6.60/4.82 (v110(constB96) <=> v108(constB95)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12378, 1470, 4650])).
% 6.60/4.82 tff(12380,plain,
% 6.60/4.82 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB95) <=> (v111(constB95) | v112(constB95)))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12381,plain,
% 6.60/4.82 (v108(constB95) <=> (v111(constB95) | v112(constB95))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12380, 4661])).
% 6.60/4.82 tff(12382,plain,
% 6.60/4.82 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95)))))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12383,plain,
% 6.60/4.82 (v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95))))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12382, 4673])).
% 6.60/4.82 tff(12384,plain,
% 6.60/4.82 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB95) <=> (v114(constB95) | v125(constB95)))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12385,plain,
% 6.60/4.82 (v113(constB95) <=> (v114(constB95) | v125(constB95))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12384, 4682])).
% 6.60/4.82 tff(12386,plain,
% 6.60/4.82 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB95) <=> (~(v90(constB95, 0) | (~v90(constB95, 1)) | (~v90(constB95, 2)))))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12387,plain,
% 6.60/4.82 (v125(constB95) <=> (~(v90(constB95, 0) | (~v90(constB95, 1)) | (~v90(constB95, 2))))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12386, 5131])).
% 6.60/4.82 tff(12388,plain,
% 6.60/4.82 ((~(v90(constB95, 0) | (~v90(constB95, 1)) | (~v90(constB95, 2)))) | v90(constB95, 0) | (~v90(constB95, 1)) | (~v90(constB95, 2))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12389,plain,
% 6.60/4.82 (~(v90(constB95, 0) | (~v90(constB95, 1)) | (~v90(constB95, 2)))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12388, 12276, 12236, 12316])).
% 6.60/4.82 tff(12390,plain,
% 6.60/4.82 ((~(v125(constB95) <=> (~(v90(constB95, 0) | (~v90(constB95, 1)) | (~v90(constB95, 2)))))) | v125(constB95) | (v90(constB95, 0) | (~v90(constB95, 1)) | (~v90(constB95, 2)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12391,plain,
% 6.60/4.82 (v125(constB95)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12390, 12389, 12387])).
% 6.60/4.82 tff(12392,plain,
% 6.60/4.82 ((v114(constB95) | v125(constB95)) | (~v125(constB95))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12393,plain,
% 6.60/4.82 (v114(constB95) | v125(constB95)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12392, 12391])).
% 6.60/4.82 tff(12394,plain,
% 6.60/4.82 ((~(v113(constB95) <=> (v114(constB95) | v125(constB95)))) | v113(constB95) | (~(v114(constB95) | v125(constB95)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12395,plain,
% 6.60/4.82 (v113(constB95)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12394, 12393, 12385])).
% 6.60/4.82 tff(12396,plain,
% 6.60/4.82 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB95)) <=> v111(constB95))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12397,plain,
% 6.60/4.82 ((~v126(constB95)) <=> v111(constB95)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12396, 4761])).
% 6.60/4.82 tff(12398,plain,
% 6.60/4.82 ((~((~v126(constB95)) <=> v111(constB95))) | v126(constB95) | v111(constB95)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12399,plain,
% 6.60/4.82 ((~((~v126(constB95)) <=> v111(constB95))) | v126(constB95)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12398, 1483])).
% 6.60/4.82 tff(12400,plain,
% 6.60/4.82 (v126(constB95)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12399, 12397])).
% 6.60/4.82 tff(12401,plain,
% 6.60/4.82 ((~((~v113(constB95)) | (~v126(constB95)))) | (~v113(constB95)) | (~v126(constB95))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12402,plain,
% 6.60/4.82 ((~((~v113(constB95)) | (~v126(constB95)))) | (~v113(constB95))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12401, 12400])).
% 6.60/4.82 tff(12403,plain,
% 6.60/4.82 (~((~v113(constB95)) | (~v126(constB95)))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12402, 12395])).
% 6.60/4.82 tff(12404,plain,
% 6.60/4.82 ((~(v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95)))))) | v112(constB95) | ((~v113(constB95)) | (~v126(constB95)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12405,plain,
% 6.60/4.82 (v112(constB95)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12404, 12403, 12383])).
% 6.60/4.82 tff(12406,plain,
% 6.60/4.82 ((v111(constB95) | v112(constB95)) | (~v112(constB95))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12407,plain,
% 6.60/4.82 (v111(constB95) | v112(constB95)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12406, 12405])).
% 6.60/4.82 tff(12408,plain,
% 6.60/4.82 ((~(v108(constB95) <=> (v111(constB95) | v112(constB95)))) | v108(constB95) | (~(v111(constB95) | v112(constB95)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12409,plain,
% 6.60/4.82 (v108(constB95)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12408, 12407, 12381])).
% 6.60/4.82 tff(12410,plain,
% 6.60/4.82 ((~(v110(constB96) <=> v108(constB95))) | v110(constB96) | (~v108(constB95))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12411,plain,
% 6.60/4.82 (v110(constB96)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12410, 12409, 12379])).
% 6.60/4.82 tff(12412,plain,
% 6.60/4.82 ((~((~v101(constB96)) | (~v110(constB96)))) | (~v101(constB96)) | (~v110(constB96))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12413,plain,
% 6.60/4.82 (~((~v101(constB96)) | (~v110(constB96)))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12412, 12411, 12375])).
% 6.60/4.82 tff(12414,plain,
% 6.60/4.82 ((~(v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96)))))) | v100(constB96) | ((~v101(constB96)) | (~v110(constB96)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12415,plain,
% 6.60/4.82 (v100(constB96)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12414, 12413, 12347])).
% 6.60/4.82 tff(12416,plain,
% 6.60/4.82 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB96)) | (~(((~v90(constB96, 2)) <=> v129(constB96, 2)) | ((~v90(constB96, 1)) <=> v129(constB96, 1)) | ((~v90(constB96, 0)) <=> v129(constB96, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB96)) | (~(((~v90(constB96, 2)) <=> v129(constB96, 2)) | ((~v90(constB96, 1)) <=> v129(constB96, 1)) | ((~v90(constB96, 0)) <=> v129(constB96, 0)))))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12417,plain,
% 6.60/4.82 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB96)) | (~(((~v90(constB96, 2)) <=> v129(constB96, 2)) | ((~v90(constB96, 1)) <=> v129(constB96, 1)) | ((~v90(constB96, 0)) <=> v129(constB96, 0)))))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12418,plain,
% 6.60/4.82 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB96)) | (~(((~v90(constB96, 2)) <=> v129(constB96, 2)) | ((~v90(constB96, 1)) <=> v129(constB96, 1)) | ((~v90(constB96, 0)) <=> v129(constB96, 0))))),
% 6.60/4.82 inference(modus_ponens,[status(thm)],[12417, 12416])).
% 6.60/4.82 tff(12419,plain,
% 6.60/4.82 ((~v100(constB96)) | (~(((~v90(constB96, 2)) <=> v129(constB96, 2)) | ((~v90(constB96, 1)) <=> v129(constB96, 1)) | ((~v90(constB96, 0)) <=> v129(constB96, 0))))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12418, 4794])).
% 6.60/4.82 tff(12420,plain,
% 6.60/4.82 (~(((~v90(constB96, 2)) <=> v129(constB96, 2)) | ((~v90(constB96, 1)) <=> v129(constB96, 1)) | ((~v90(constB96, 0)) <=> v129(constB96, 0)))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12419, 12415])).
% 6.60/4.82 tff(12421,plain,
% 6.60/4.82 ((((~v90(constB96, 2)) <=> v129(constB96, 2)) | ((~v90(constB96, 1)) <=> v129(constB96, 1)) | ((~v90(constB96, 0)) <=> v129(constB96, 0))) | (~((~v90(constB96, 2)) <=> v129(constB96, 2)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12422,plain,
% 6.60/4.82 (~((~v90(constB96, 2)) <=> v129(constB96, 2))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12421, 12420])).
% 6.60/4.82 tff(12423,plain,
% 6.60/4.82 (((~v90(constB96, 2)) <=> v129(constB96, 2)) | (~v90(constB96, 2)) | v129(constB96, 2)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12424,plain,
% 6.60/4.82 (~v90(constB96, 2)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12423, 12422, 12343])).
% 6.60/4.82 tff(12425,plain,
% 6.60/4.82 (((~v90(constB97, 2)) <=> v90(constB96, 2)) | (~v90(constB97, 2)) | v90(constB96, 2)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12426,plain,
% 6.60/4.82 (~v90(constB97, 2)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12425, 12424, 1467])).
% 6.60/4.82 tff(12427,plain,
% 6.60/4.82 ((((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 0)) <=> v90(constB96, 0))) | (~((~v90(constB97, 0)) <=> v90(constB96, 0)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12428,plain,
% 6.60/4.82 (~((~v90(constB97, 0)) <=> v90(constB96, 0))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12427, 1465])).
% 6.60/4.82 tff(12429,plain,
% 6.60/4.82 ((((~v129(constB96, 2)) <=> v127(constB95, 2)) | ((~v129(constB96, 1)) <=> v127(constB95, 1)) | ((~v129(constB96, 0)) <=> v127(constB95, 0))) | (~((~v129(constB96, 0)) <=> v127(constB95, 0)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12430,plain,
% 6.60/4.82 (~((~v129(constB96, 0)) <=> v127(constB95, 0))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12429, 1474])).
% 6.60/4.82 tff(12431,plain,
% 6.60/4.82 ((((~v127(constB95, 2)) <=> v130(constB95, 2)) | ((~v127(constB95, 1)) <=> v130(constB95, 1)) | ((~v127(constB95, 0)) <=> v130(constB95, 0))) | (~((~v127(constB95, 0)) <=> v130(constB95, 0)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12432,plain,
% 6.60/4.82 (~((~v127(constB95, 0)) <=> v130(constB95, 0))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12431, 1488])).
% 6.60/4.82 tff(12433,plain,
% 6.60/4.82 ((v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0))) | v130(constB95, 0)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12434,plain,
% 6.60/4.82 (v130(constB95, 0)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12433, 12337])).
% 6.60/4.82 tff(12435,plain,
% 6.60/4.82 (((~v127(constB95, 0)) <=> v130(constB95, 0)) | v127(constB95, 0) | (~v130(constB95, 0))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12436,plain,
% 6.60/4.82 (v127(constB95, 0)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12435, 12434, 12432])).
% 6.60/4.82 tff(12437,plain,
% 6.60/4.82 (((~v129(constB96, 0)) <=> v127(constB95, 0)) | v129(constB96, 0) | (~v127(constB95, 0))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12438,plain,
% 6.60/4.82 (v129(constB96, 0)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12437, 12436, 12430])).
% 6.60/4.82 tff(12439,plain,
% 6.60/4.82 ((((~v90(constB96, 2)) <=> v129(constB96, 2)) | ((~v90(constB96, 1)) <=> v129(constB96, 1)) | ((~v90(constB96, 0)) <=> v129(constB96, 0))) | (~((~v90(constB96, 0)) <=> v129(constB96, 0)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12440,plain,
% 6.60/4.82 (~((~v90(constB96, 0)) <=> v129(constB96, 0))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12439, 12420])).
% 6.60/4.82 tff(12441,plain,
% 6.60/4.82 (((~v90(constB96, 0)) <=> v129(constB96, 0)) | v90(constB96, 0) | (~v129(constB96, 0))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12442,plain,
% 6.60/4.82 (v90(constB96, 0)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12441, 12440, 12438])).
% 6.60/4.82 tff(12443,plain,
% 6.60/4.82 (((~v90(constB97, 0)) <=> v90(constB96, 0)) | v90(constB97, 0) | (~v90(constB96, 0))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12444,plain,
% 6.60/4.82 (v90(constB97, 0)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12443, 12442, 12428])).
% 6.60/4.82 tff(12445,plain,
% 6.60/4.82 ((((~v90(constB97, 1)) <=> v90(constB96, 1)) | ((~v90(constB97, 2)) <=> v90(constB96, 2)) | ((~v90(constB97, 0)) <=> v90(constB96, 0))) | (~((~v90(constB97, 1)) <=> v90(constB96, 1)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12446,plain,
% 6.60/4.82 (~((~v90(constB97, 1)) <=> v90(constB96, 1))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12445, 1465])).
% 6.60/4.82 tff(12447,plain,
% 6.60/4.82 ((((~v129(constB96, 2)) <=> v127(constB95, 2)) | ((~v129(constB96, 1)) <=> v127(constB95, 1)) | ((~v129(constB96, 0)) <=> v127(constB95, 0))) | (~((~v129(constB96, 1)) <=> v127(constB95, 1)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12448,plain,
% 6.60/4.82 (~((~v129(constB96, 1)) <=> v127(constB95, 1))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12447, 1474])).
% 6.60/4.82 tff(12449,plain,
% 6.60/4.82 ((((~v127(constB95, 2)) <=> v130(constB95, 2)) | ((~v127(constB95, 1)) <=> v130(constB95, 1)) | ((~v127(constB95, 0)) <=> v130(constB95, 0))) | (~((~v127(constB95, 1)) <=> v130(constB95, 1)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12450,plain,
% 6.60/4.82 (~((~v127(constB95, 1)) <=> v130(constB95, 1))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12449, 1488])).
% 6.60/4.82 tff(12451,plain,
% 6.60/4.82 ((v130(constB95, 2) | v130(constB95, 1) | (~v130(constB95, 0))) | (~v130(constB95, 1))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12452,plain,
% 6.60/4.82 (~v130(constB95, 1)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12451, 12337])).
% 6.60/4.82 tff(12453,plain,
% 6.60/4.82 (((~v127(constB95, 1)) <=> v130(constB95, 1)) | (~v127(constB95, 1)) | v130(constB95, 1)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12454,plain,
% 6.60/4.82 (~v127(constB95, 1)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12453, 12452, 12450])).
% 6.60/4.82 tff(12455,plain,
% 6.60/4.82 (((~v129(constB96, 1)) <=> v127(constB95, 1)) | (~v129(constB96, 1)) | v127(constB95, 1)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12456,plain,
% 6.60/4.82 (~v129(constB96, 1)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12455, 12454, 12448])).
% 6.60/4.82 tff(12457,plain,
% 6.60/4.82 ((((~v90(constB96, 2)) <=> v129(constB96, 2)) | ((~v90(constB96, 1)) <=> v129(constB96, 1)) | ((~v90(constB96, 0)) <=> v129(constB96, 0))) | (~((~v90(constB96, 1)) <=> v129(constB96, 1)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12458,plain,
% 6.60/4.82 (~((~v90(constB96, 1)) <=> v129(constB96, 1))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12457, 12420])).
% 6.60/4.82 tff(12459,plain,
% 6.60/4.82 (((~v90(constB96, 1)) <=> v129(constB96, 1)) | (~v90(constB96, 1)) | v129(constB96, 1)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12460,plain,
% 6.60/4.82 (~v90(constB96, 1)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12459, 12458, 12456])).
% 6.60/4.82 tff(12461,plain,
% 6.60/4.82 (((~v90(constB97, 1)) <=> v90(constB96, 1)) | (~v90(constB97, 1)) | v90(constB96, 1)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12462,plain,
% 6.60/4.82 (~v90(constB97, 1)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12461, 12460, 12446])).
% 6.60/4.82 tff(12463,plain,
% 6.60/4.82 ((~(v90(constB97, 1) | v90(constB97, 2) | (~v90(constB97, 0)))) | v90(constB97, 1) | v90(constB97, 2) | (~v90(constB97, 0))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12464,plain,
% 6.60/4.82 (~(v90(constB97, 1) | v90(constB97, 2) | (~v90(constB97, 0)))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12463, 12462, 12444, 12426])).
% 6.60/4.82 tff(12465,plain,
% 6.60/4.82 ((~(v120(constB97) <=> (~(v90(constB97, 1) | v90(constB97, 2) | (~v90(constB97, 0)))))) | v120(constB97) | (v90(constB97, 1) | v90(constB97, 2) | (~v90(constB97, 0)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12466,plain,
% 6.60/4.82 (v120(constB97)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12465, 12464, 1431])).
% 6.60/4.82 tff(12467,plain,
% 6.60/4.82 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB97)) | (~(v130(constB97, 2) | v130(constB97, 0) | (~v130(constB97, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB97)) | (~(v130(constB97, 2) | v130(constB97, 0) | (~v130(constB97, 1)))))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12468,plain,
% 6.60/4.82 (((~v120(constB97)) | (~(v130(constB97, 0) | v130(constB97, 2) | (~v130(constB97, 1))))) <=> ((~v120(constB97)) | (~(v130(constB97, 2) | v130(constB97, 0) | (~v130(constB97, 1)))))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12469,plain,
% 6.60/4.82 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB97)) | (~(v130(constB97, 0) | v130(constB97, 2) | (~v130(constB97, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB97)) | (~(v130(constB97, 2) | v130(constB97, 0) | (~v130(constB97, 1))))))),
% 6.60/4.82 inference(monotonicity,[status(thm)],[12468])).
% 6.60/4.82 tff(12470,plain,
% 6.60/4.82 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB97)) | (~(v130(constB97, 0) | v130(constB97, 2) | (~v130(constB97, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB97)) | (~(v130(constB97, 2) | v130(constB97, 0) | (~v130(constB97, 1)))))),
% 6.60/4.82 inference(transitivity,[status(thm)],[12469, 12467])).
% 6.60/4.82 tff(12471,plain,
% 6.60/4.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB97)) | (~(v130(constB97, 0) | v130(constB97, 2) | (~v130(constB97, 1)))))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12472,plain,
% 6.60/4.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB97)) | (~(v130(constB97, 2) | v130(constB97, 0) | (~v130(constB97, 1))))),
% 6.60/4.82 inference(modus_ponens,[status(thm)],[12471, 12470])).
% 6.60/4.82 tff(12473,plain,
% 6.60/4.82 ((~v120(constB97)) | (~(v130(constB97, 2) | v130(constB97, 0) | (~v130(constB97, 1))))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12472, 5246])).
% 6.60/4.82 tff(12474,plain,
% 6.60/4.82 (~(v130(constB97, 2) | v130(constB97, 0) | (~v130(constB97, 1)))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12473, 12466])).
% 6.60/4.82 tff(12475,plain,
% 6.60/4.82 ((v130(constB97, 2) | v130(constB97, 0) | (~v130(constB97, 1))) | (~v130(constB97, 2))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12476,plain,
% 6.60/4.82 (~v130(constB97, 2)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12475, 12474])).
% 6.60/4.82 tff(12477,plain,
% 6.60/4.82 (((~v127(constB97, 2)) <=> v130(constB97, 2)) | (~v127(constB97, 2)) | v130(constB97, 2)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12478,plain,
% 6.60/4.82 (~v127(constB97, 2)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12477, 12476, 1429])).
% 6.60/4.82 tff(12479,plain,
% 6.60/4.82 (((~v129(constB98, 2)) <=> v127(constB97, 2)) | (~v129(constB98, 2)) | v127(constB97, 2)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12480,plain,
% 6.60/4.82 (~v129(constB98, 2)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12479, 12478, 1415])).
% 6.60/4.82 tff(12481,plain,
% 6.60/4.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12482,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12483,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98)))))),
% 6.60/4.82 inference(modus_ponens,[status(thm)],[12482, 12481])).
% 6.60/4.82 tff(12484,plain,
% 6.60/4.82 (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12483, 1409, 273])).
% 6.60/4.82 tff(12485,plain,
% 6.60/4.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12486,plain,
% 6.60/4.82 (((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98)))))) <=> ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12487,plain,
% 6.60/4.82 (((~![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) <=> (~((~v1(constB98)) | (~v102(constB98)))))))),
% 6.60/4.82 inference(monotonicity,[status(thm)],[12486])).
% 6.60/4.82 tff(12488,plain,
% 6.60/4.82 (((~![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) <=> (~((~v1(constB98)) | (~v102(constB98))))))),
% 6.60/4.82 inference(transitivity,[status(thm)],[12487, 12485])).
% 6.60/4.82 tff(12489,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98))))))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12490,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98)))))),
% 6.60/4.82 inference(modus_ponens,[status(thm)],[12489, 12488])).
% 6.60/4.82 tff(12491,plain,
% 6.60/4.82 (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12490, 1409, 293])).
% 6.60/4.82 tff(12492,plain,
% 6.60/4.82 (((~![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)))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12493,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98)))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12494,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98))),
% 6.60/4.82 inference(modus_ponens,[status(thm)],[12493, 12492])).
% 6.60/4.82 tff(12495,plain,
% 6.60/4.82 ((~v102(constB98)) <=> v104(constB98)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12494, 1409, 4609])).
% 6.60/4.82 tff(12496,plain,
% 6.60/4.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97)))),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12497,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97)))),
% 6.60/4.82 inference(quant_inst,[status(thm)],[])).
% 6.60/4.82 tff(12498,plain,
% 6.60/4.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97))),
% 6.60/4.82 inference(modus_ponens,[status(thm)],[12497, 12496])).
% 6.60/4.82 tff(12499,plain,
% 6.60/4.82 (v104(constB98) <=> v1(constB97)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12498, 1409, 4623])).
% 6.60/4.82 tff(12500,plain,
% 6.60/4.82 ((~(v104(constB98) <=> v1(constB97))) | (~v104(constB98)) | v1(constB97)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12501,plain,
% 6.60/4.82 ((~(v104(constB98) <=> v1(constB97))) | (~v104(constB98))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12500, 1448])).
% 6.60/4.82 tff(12502,plain,
% 6.60/4.82 (~v104(constB98)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12501, 12499])).
% 6.60/4.82 tff(12503,plain,
% 6.60/4.82 ((~((~v102(constB98)) <=> v104(constB98))) | v102(constB98) | v104(constB98)),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12504,plain,
% 6.60/4.82 (v102(constB98)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12503, 12502, 12495])).
% 6.60/4.82 tff(12505,plain,
% 6.60/4.82 (v1(constB98) <=> v1(constB98)),
% 6.60/4.82 inference(rewrite,[status(thm)],[])).
% 6.60/4.82 tff(12506,axiom,(v1(constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_98')).
% 6.60/4.82 tff(12507,plain,
% 6.60/4.82 (v1(constB98)),
% 6.60/4.82 inference(modus_ponens,[status(thm)],[12506, 12505])).
% 6.60/4.82 tff(12508,plain,
% 6.60/4.82 ((~((~v1(constB98)) | (~v102(constB98)))) | (~v1(constB98)) | (~v102(constB98))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12509,plain,
% 6.60/4.82 ((~((~v1(constB98)) | (~v102(constB98)))) | (~v102(constB98))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12508, 12507])).
% 6.60/4.82 tff(12510,plain,
% 6.60/4.82 (~((~v1(constB98)) | (~v102(constB98)))),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12509, 12504])).
% 6.60/4.82 tff(12511,plain,
% 6.60/4.82 ((~(v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98)))))) | v101(constB98) | ((~v1(constB98)) | (~v102(constB98)))),
% 6.60/4.82 inference(tautology,[status(thm)],[])).
% 6.60/4.82 tff(12512,plain,
% 6.60/4.82 (v101(constB98)),
% 6.60/4.82 inference(unit_resolution,[status(thm)],[12511, 12510, 12491])).
% 6.60/4.82 tff(12513,plain,
% 6.60/4.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97)))),
% 6.60/4.83 inference(rewrite,[status(thm)],[])).
% 6.60/4.83 tff(12514,plain,
% 6.60/4.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12515,plain,
% 6.60/4.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97))),
% 6.60/4.83 inference(modus_ponens,[status(thm)],[12514, 12513])).
% 6.60/4.83 tff(12516,plain,
% 6.60/4.83 (v110(constB98) <=> v108(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12515, 1409, 4650])).
% 6.60/4.83 tff(12517,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB97) <=> (v111(constB97) | v112(constB97)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12518,plain,
% 6.60/4.83 (v108(constB97) <=> (v111(constB97) | v112(constB97))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12517, 4661])).
% 6.60/4.83 tff(12519,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97)))))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12520,plain,
% 6.60/4.83 (v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97))))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12519, 4673])).
% 6.60/4.83 tff(12521,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB97) <=> (v114(constB97) | v125(constB97)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12522,plain,
% 6.60/4.83 (v113(constB97) <=> (v114(constB97) | v125(constB97))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12521, 4682])).
% 6.60/4.83 tff(12523,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB97) <=> (v115(constB97) | v124(constB97)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12524,plain,
% 6.60/4.83 (v114(constB97) <=> (v115(constB97) | v124(constB97))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12523, 4691])).
% 6.60/4.83 tff(12525,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB97) <=> (v116(constB97) | v123(constB97)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12526,plain,
% 6.60/4.83 (v115(constB97) <=> (v116(constB97) | v123(constB97))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12525, 4700])).
% 6.60/4.83 tff(12527,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB97) <=> (v117(constB97) | v122(constB97)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12528,plain,
% 6.60/4.83 (v116(constB97) <=> (v117(constB97) | v122(constB97))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12527, 4709])).
% 6.60/4.83 tff(12529,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB97) <=> (v118(constB97) | v121(constB97)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12530,plain,
% 6.60/4.83 (v117(constB97) <=> (v118(constB97) | v121(constB97))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12529, 4718])).
% 6.60/4.83 tff(12531,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB97) <=> (v119(constB97) | v120(constB97)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12532,plain,
% 6.60/4.83 (v118(constB97) <=> (v119(constB97) | v120(constB97))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12531, 4727])).
% 6.60/4.83 tff(12533,plain,
% 6.60/4.83 ((v119(constB97) | v120(constB97)) | (~v120(constB97))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12534,plain,
% 6.60/4.83 (v119(constB97) | v120(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12533, 12466])).
% 6.60/4.83 tff(12535,plain,
% 6.60/4.83 ((~(v118(constB97) <=> (v119(constB97) | v120(constB97)))) | v118(constB97) | (~(v119(constB97) | v120(constB97)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12536,plain,
% 6.60/4.83 (v118(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12535, 12534, 12532])).
% 6.60/4.83 tff(12537,plain,
% 6.60/4.83 ((v118(constB97) | v121(constB97)) | (~v118(constB97))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12538,plain,
% 6.60/4.83 (v118(constB97) | v121(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12537, 12536])).
% 6.60/4.83 tff(12539,plain,
% 6.60/4.83 ((~(v117(constB97) <=> (v118(constB97) | v121(constB97)))) | v117(constB97) | (~(v118(constB97) | v121(constB97)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12540,plain,
% 6.60/4.83 (v117(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12539, 12538, 12530])).
% 6.60/4.83 tff(12541,plain,
% 6.60/4.83 ((v117(constB97) | v122(constB97)) | (~v117(constB97))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12542,plain,
% 6.60/4.83 (v117(constB97) | v122(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12541, 12540])).
% 6.60/4.83 tff(12543,plain,
% 6.60/4.83 ((~(v116(constB97) <=> (v117(constB97) | v122(constB97)))) | v116(constB97) | (~(v117(constB97) | v122(constB97)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12544,plain,
% 6.60/4.83 (v116(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12543, 12542, 12528])).
% 6.60/4.83 tff(12545,plain,
% 6.60/4.83 ((v116(constB97) | v123(constB97)) | (~v116(constB97))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12546,plain,
% 6.60/4.83 (v116(constB97) | v123(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12545, 12544])).
% 6.60/4.83 tff(12547,plain,
% 6.60/4.83 ((~(v115(constB97) <=> (v116(constB97) | v123(constB97)))) | v115(constB97) | (~(v116(constB97) | v123(constB97)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12548,plain,
% 6.60/4.83 (v115(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12547, 12546, 12526])).
% 6.60/4.83 tff(12549,plain,
% 6.60/4.83 ((v115(constB97) | v124(constB97)) | (~v115(constB97))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12550,plain,
% 6.60/4.83 (v115(constB97) | v124(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12549, 12548])).
% 6.60/4.83 tff(12551,plain,
% 6.60/4.83 ((~(v114(constB97) <=> (v115(constB97) | v124(constB97)))) | v114(constB97) | (~(v115(constB97) | v124(constB97)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12552,plain,
% 6.60/4.83 (v114(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12551, 12550, 12524])).
% 6.60/4.83 tff(12553,plain,
% 6.60/4.83 ((v114(constB97) | v125(constB97)) | (~v114(constB97))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12554,plain,
% 6.60/4.83 (v114(constB97) | v125(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12553, 12552])).
% 6.60/4.83 tff(12555,plain,
% 6.60/4.83 ((~(v113(constB97) <=> (v114(constB97) | v125(constB97)))) | v113(constB97) | (~(v114(constB97) | v125(constB97)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12556,plain,
% 6.60/4.83 (v113(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12555, 12554, 12522])).
% 6.60/4.83 tff(12557,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB97)) <=> v111(constB97))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12558,plain,
% 6.60/4.83 ((~v126(constB97)) <=> v111(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12557, 4761])).
% 6.60/4.83 tff(12559,plain,
% 6.60/4.83 ((~((~v126(constB97)) <=> v111(constB97))) | v126(constB97) | v111(constB97)),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12560,plain,
% 6.60/4.83 ((~((~v126(constB97)) <=> v111(constB97))) | v126(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12559, 1422])).
% 6.60/4.83 tff(12561,plain,
% 6.60/4.83 (v126(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12560, 12558])).
% 6.60/4.83 tff(12562,plain,
% 6.60/4.83 ((~((~v113(constB97)) | (~v126(constB97)))) | (~v113(constB97)) | (~v126(constB97))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12563,plain,
% 6.60/4.83 ((~((~v113(constB97)) | (~v126(constB97)))) | (~v113(constB97))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12562, 12561])).
% 6.60/4.83 tff(12564,plain,
% 6.60/4.83 (~((~v113(constB97)) | (~v126(constB97)))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12563, 12556])).
% 6.60/4.83 tff(12565,plain,
% 6.60/4.83 ((~(v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97)))))) | v112(constB97) | ((~v113(constB97)) | (~v126(constB97)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12566,plain,
% 6.60/4.83 (v112(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12565, 12564, 12520])).
% 6.60/4.83 tff(12567,plain,
% 6.60/4.83 ((v111(constB97) | v112(constB97)) | (~v112(constB97))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12568,plain,
% 6.60/4.83 (v111(constB97) | v112(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12567, 12566])).
% 6.60/4.83 tff(12569,plain,
% 6.60/4.83 ((~(v108(constB97) <=> (v111(constB97) | v112(constB97)))) | v108(constB97) | (~(v111(constB97) | v112(constB97)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12570,plain,
% 6.60/4.83 (v108(constB97)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12569, 12568, 12518])).
% 6.60/4.83 tff(12571,plain,
% 6.60/4.83 ((~(v110(constB98) <=> v108(constB97))) | v110(constB98) | (~v108(constB97))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12572,plain,
% 6.60/4.83 (v110(constB98)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12571, 12570, 12516])).
% 6.60/4.83 tff(12573,plain,
% 6.60/4.83 ((~((~v101(constB98)) | (~v110(constB98)))) | (~v101(constB98)) | (~v110(constB98))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12574,plain,
% 6.60/4.83 (~((~v101(constB98)) | (~v110(constB98)))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12573, 12572, 12512])).
% 6.60/4.83 tff(12575,plain,
% 6.60/4.83 ((~(v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98)))))) | v100(constB98) | ((~v101(constB98)) | (~v110(constB98)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12576,plain,
% 6.60/4.83 (v100(constB98)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12575, 12574, 12484])).
% 6.60/4.83 tff(12577,plain,
% 6.60/4.83 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB98)) | (~(((~v90(constB98, 0)) <=> v129(constB98, 0)) | ((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB98)) | (~(((~v90(constB98, 0)) <=> v129(constB98, 0)) | ((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1)))))),
% 6.60/4.83 inference(rewrite,[status(thm)],[])).
% 6.60/4.83 tff(12578,plain,
% 6.60/4.83 (((~v100(constB98)) | (~(((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1)) | ((~v90(constB98, 0)) <=> v129(constB98, 0))))) <=> ((~v100(constB98)) | (~(((~v90(constB98, 0)) <=> v129(constB98, 0)) | ((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1)))))),
% 6.60/4.83 inference(rewrite,[status(thm)],[])).
% 6.60/4.83 tff(12579,plain,
% 6.60/4.83 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB98)) | (~(((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1)) | ((~v90(constB98, 0)) <=> v129(constB98, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB98)) | (~(((~v90(constB98, 0)) <=> v129(constB98, 0)) | ((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1))))))),
% 6.60/4.83 inference(monotonicity,[status(thm)],[12578])).
% 6.60/4.83 tff(12580,plain,
% 6.60/4.83 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB98)) | (~(((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1)) | ((~v90(constB98, 0)) <=> v129(constB98, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB98)) | (~(((~v90(constB98, 0)) <=> v129(constB98, 0)) | ((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1)))))),
% 6.60/4.83 inference(transitivity,[status(thm)],[12579, 12577])).
% 6.60/4.83 tff(12581,plain,
% 6.60/4.83 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB98)) | (~(((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1)) | ((~v90(constB98, 0)) <=> v129(constB98, 0)))))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12582,plain,
% 6.60/4.83 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB98)) | (~(((~v90(constB98, 0)) <=> v129(constB98, 0)) | ((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1))))),
% 6.60/4.83 inference(modus_ponens,[status(thm)],[12581, 12580])).
% 6.60/4.83 tff(12583,plain,
% 6.60/4.83 ((~v100(constB98)) | (~(((~v90(constB98, 0)) <=> v129(constB98, 0)) | ((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1))))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12582, 4794])).
% 6.60/4.83 tff(12584,plain,
% 6.60/4.83 (~(((~v90(constB98, 0)) <=> v129(constB98, 0)) | ((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1)))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12583, 12576])).
% 6.60/4.83 tff(12585,plain,
% 6.60/4.83 ((((~v90(constB98, 0)) <=> v129(constB98, 0)) | ((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1))) | (~((~v90(constB98, 2)) <=> v129(constB98, 2)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12586,plain,
% 6.60/4.83 (~((~v90(constB98, 2)) <=> v129(constB98, 2))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12585, 12584])).
% 6.60/4.83 tff(12587,plain,
% 6.60/4.83 (((~v90(constB98, 2)) <=> v129(constB98, 2)) | (~v90(constB98, 2)) | v129(constB98, 2)),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12588,plain,
% 6.60/4.83 (~v90(constB98, 2)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12587, 12586, 12480])).
% 6.60/4.83 tff(12589,plain,
% 6.60/4.83 (((~v90(constB99, 2)) <=> v90(constB98, 2)) | (~v90(constB99, 2)) | v90(constB98, 2)),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12590,plain,
% 6.60/4.83 (~v90(constB99, 2)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12589, 12588, 1406])).
% 6.60/4.83 tff(12591,plain,
% 6.60/4.83 ((((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 0)) <=> v90(constB98, 0))) | (~((~v90(constB99, 0)) <=> v90(constB98, 0)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12592,plain,
% 6.60/4.83 (~((~v90(constB99, 0)) <=> v90(constB98, 0))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12591, 1404])).
% 6.60/4.83 tff(12593,plain,
% 6.60/4.83 ((((~v129(constB98, 2)) <=> v127(constB97, 2)) | ((~v129(constB98, 1)) <=> v127(constB97, 1)) | ((~v129(constB98, 0)) <=> v127(constB97, 0))) | (~((~v129(constB98, 0)) <=> v127(constB97, 0)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12594,plain,
% 6.60/4.83 (~((~v129(constB98, 0)) <=> v127(constB97, 0))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12593, 1413])).
% 6.60/4.83 tff(12595,plain,
% 6.60/4.83 ((((~v127(constB97, 2)) <=> v130(constB97, 2)) | ((~v127(constB97, 1)) <=> v130(constB97, 1)) | ((~v127(constB97, 0)) <=> v130(constB97, 0))) | (~((~v127(constB97, 0)) <=> v130(constB97, 0)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12596,plain,
% 6.60/4.83 (~((~v127(constB97, 0)) <=> v130(constB97, 0))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12595, 1427])).
% 6.60/4.83 tff(12597,plain,
% 6.60/4.83 ((v130(constB97, 2) | v130(constB97, 0) | (~v130(constB97, 1))) | (~v130(constB97, 0))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12598,plain,
% 6.60/4.83 (~v130(constB97, 0)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12597, 12474])).
% 6.60/4.83 tff(12599,plain,
% 6.60/4.83 (((~v127(constB97, 0)) <=> v130(constB97, 0)) | (~v127(constB97, 0)) | v130(constB97, 0)),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12600,plain,
% 6.60/4.83 (~v127(constB97, 0)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12599, 12598, 12596])).
% 6.60/4.83 tff(12601,plain,
% 6.60/4.83 (((~v129(constB98, 0)) <=> v127(constB97, 0)) | (~v129(constB98, 0)) | v127(constB97, 0)),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12602,plain,
% 6.60/4.83 (~v129(constB98, 0)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12601, 12600, 12594])).
% 6.60/4.83 tff(12603,plain,
% 6.60/4.83 ((((~v90(constB98, 0)) <=> v129(constB98, 0)) | ((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1))) | (~((~v90(constB98, 0)) <=> v129(constB98, 0)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12604,plain,
% 6.60/4.83 (~((~v90(constB98, 0)) <=> v129(constB98, 0))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12603, 12584])).
% 6.60/4.83 tff(12605,plain,
% 6.60/4.83 (((~v90(constB98, 0)) <=> v129(constB98, 0)) | (~v90(constB98, 0)) | v129(constB98, 0)),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12606,plain,
% 6.60/4.83 (~v90(constB98, 0)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12605, 12604, 12602])).
% 6.60/4.83 tff(12607,plain,
% 6.60/4.83 (((~v90(constB99, 0)) <=> v90(constB98, 0)) | (~v90(constB99, 0)) | v90(constB98, 0)),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12608,plain,
% 6.60/4.83 (~v90(constB99, 0)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12607, 12606, 12592])).
% 6.60/4.83 tff(12609,plain,
% 6.60/4.83 ((((~v90(constB99, 1)) <=> v90(constB98, 1)) | ((~v90(constB99, 2)) <=> v90(constB98, 2)) | ((~v90(constB99, 0)) <=> v90(constB98, 0))) | (~((~v90(constB99, 1)) <=> v90(constB98, 1)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12610,plain,
% 6.60/4.83 (~((~v90(constB99, 1)) <=> v90(constB98, 1))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12609, 1404])).
% 6.60/4.83 tff(12611,plain,
% 6.60/4.83 ((((~v129(constB98, 2)) <=> v127(constB97, 2)) | ((~v129(constB98, 1)) <=> v127(constB97, 1)) | ((~v129(constB98, 0)) <=> v127(constB97, 0))) | (~((~v129(constB98, 1)) <=> v127(constB97, 1)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12612,plain,
% 6.60/4.83 (~((~v129(constB98, 1)) <=> v127(constB97, 1))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12611, 1413])).
% 6.60/4.83 tff(12613,plain,
% 6.60/4.83 ((((~v127(constB97, 2)) <=> v130(constB97, 2)) | ((~v127(constB97, 1)) <=> v130(constB97, 1)) | ((~v127(constB97, 0)) <=> v130(constB97, 0))) | (~((~v127(constB97, 1)) <=> v130(constB97, 1)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12614,plain,
% 6.60/4.83 (~((~v127(constB97, 1)) <=> v130(constB97, 1))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12613, 1427])).
% 6.60/4.83 tff(12615,plain,
% 6.60/4.83 ((v130(constB97, 2) | v130(constB97, 0) | (~v130(constB97, 1))) | v130(constB97, 1)),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12616,plain,
% 6.60/4.83 (v130(constB97, 1)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12615, 12474])).
% 6.60/4.83 tff(12617,plain,
% 6.60/4.83 (((~v127(constB97, 1)) <=> v130(constB97, 1)) | v127(constB97, 1) | (~v130(constB97, 1))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12618,plain,
% 6.60/4.83 (v127(constB97, 1)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12617, 12616, 12614])).
% 6.60/4.83 tff(12619,plain,
% 6.60/4.83 (((~v129(constB98, 1)) <=> v127(constB97, 1)) | v129(constB98, 1) | (~v127(constB97, 1))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12620,plain,
% 6.60/4.83 (v129(constB98, 1)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12619, 12618, 12612])).
% 6.60/4.83 tff(12621,plain,
% 6.60/4.83 ((((~v90(constB98, 0)) <=> v129(constB98, 0)) | ((~v90(constB98, 2)) <=> v129(constB98, 2)) | ((~v90(constB98, 1)) <=> v129(constB98, 1))) | (~((~v90(constB98, 1)) <=> v129(constB98, 1)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12622,plain,
% 6.60/4.83 (~((~v90(constB98, 1)) <=> v129(constB98, 1))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12621, 12584])).
% 6.60/4.83 tff(12623,plain,
% 6.60/4.83 (((~v90(constB98, 1)) <=> v129(constB98, 1)) | v90(constB98, 1) | (~v129(constB98, 1))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12624,plain,
% 6.60/4.83 (v90(constB98, 1)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12623, 12622, 12620])).
% 6.60/4.83 tff(12625,plain,
% 6.60/4.83 (((~v90(constB99, 1)) <=> v90(constB98, 1)) | v90(constB99, 1) | (~v90(constB98, 1))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12626,plain,
% 6.60/4.83 (v90(constB99, 1)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12625, 12624, 12610])).
% 6.60/4.83 tff(12627,plain,
% 6.60/4.83 ((~(v90(constB99, 2) | v90(constB99, 0) | (~v90(constB99, 1)))) | v90(constB99, 2) | v90(constB99, 0) | (~v90(constB99, 1))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12628,plain,
% 6.60/4.83 (~(v90(constB99, 2) | v90(constB99, 0) | (~v90(constB99, 1)))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12627, 12626, 12608, 12590])).
% 6.60/4.83 tff(12629,plain,
% 6.60/4.83 ((~(v121(constB99) <=> (~(v90(constB99, 2) | v90(constB99, 0) | (~v90(constB99, 1)))))) | v121(constB99) | (v90(constB99, 2) | v90(constB99, 0) | (~v90(constB99, 1)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12630,plain,
% 6.60/4.83 (v121(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12629, 12628, 1370])).
% 6.60/4.83 tff(12631,plain,
% 6.60/4.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB99)) | (~(v130(constB99, 2) | (~v130(constB99, 1)) | (~v130(constB99, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB99)) | (~(v130(constB99, 2) | (~v130(constB99, 1)) | (~v130(constB99, 0)))))),
% 6.60/4.83 inference(rewrite,[status(thm)],[])).
% 6.60/4.83 tff(12632,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB99)) | (~(v130(constB99, 2) | (~v130(constB99, 1)) | (~v130(constB99, 0)))))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12633,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB99)) | (~(v130(constB99, 2) | (~v130(constB99, 1)) | (~v130(constB99, 0))))),
% 6.60/4.83 inference(modus_ponens,[status(thm)],[12632, 12631])).
% 6.60/4.83 tff(12634,plain,
% 6.60/4.83 ((~v121(constB99)) | (~(v130(constB99, 2) | (~v130(constB99, 1)) | (~v130(constB99, 0))))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12633, 5420])).
% 6.60/4.83 tff(12635,plain,
% 6.60/4.83 (~(v130(constB99, 2) | (~v130(constB99, 1)) | (~v130(constB99, 0)))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12634, 12630])).
% 6.60/4.83 tff(12636,plain,
% 6.60/4.83 ((v130(constB99, 2) | (~v130(constB99, 1)) | (~v130(constB99, 0))) | (~v130(constB99, 2))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12637,plain,
% 6.60/4.83 (~v130(constB99, 2)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12636, 12635])).
% 6.60/4.83 tff(12638,plain,
% 6.60/4.83 (((~v127(constB99, 2)) <=> v130(constB99, 2)) | (~v127(constB99, 2)) | v130(constB99, 2)),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12639,plain,
% 6.60/4.83 (~v127(constB99, 2)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12638, 12637, 1363])).
% 6.60/4.83 tff(12640,plain,
% 6.60/4.83 (((~v129(constB100, 2)) <=> v127(constB99, 2)) | (~v129(constB100, 2)) | v127(constB99, 2)),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12641,plain,
% 6.60/4.83 (~v129(constB100, 2)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12640, 12639, 1349])).
% 6.60/4.83 tff(12642,plain,
% 6.60/4.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))))),
% 6.60/4.83 inference(rewrite,[status(thm)],[])).
% 6.60/4.83 tff(12643,plain,
% 6.60/4.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12644,plain,
% 6.60/4.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100)))))),
% 6.60/4.83 inference(modus_ponens,[status(thm)],[12643, 12642])).
% 6.60/4.83 tff(12645,plain,
% 6.60/4.83 (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12644, 1343, 273])).
% 6.60/4.83 tff(12646,plain,
% 6.60/4.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))),
% 6.60/4.83 inference(rewrite,[status(thm)],[])).
% 6.60/4.83 tff(12647,plain,
% 6.60/4.83 (((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100)))))) <=> ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))),
% 6.60/4.83 inference(rewrite,[status(thm)],[])).
% 6.60/4.83 tff(12648,plain,
% 6.60/4.83 (((~![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) <=> (~((~v1(constB100)) | (~v102(constB100)))))))),
% 6.60/4.83 inference(monotonicity,[status(thm)],[12647])).
% 6.60/4.83 tff(12649,plain,
% 6.60/4.83 (((~![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) <=> (~((~v1(constB100)) | (~v102(constB100))))))),
% 6.60/4.83 inference(transitivity,[status(thm)],[12648, 12646])).
% 6.60/4.83 tff(12650,plain,
% 6.60/4.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100))))))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12651,plain,
% 6.60/4.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100)))))),
% 6.60/4.83 inference(modus_ponens,[status(thm)],[12650, 12649])).
% 6.60/4.83 tff(12652,plain,
% 6.60/4.83 (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12651, 1343, 293])).
% 6.60/4.83 tff(12653,plain,
% 6.60/4.83 (((~![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)))),
% 6.60/4.83 inference(rewrite,[status(thm)],[])).
% 6.60/4.83 tff(12654,plain,
% 6.60/4.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12655,plain,
% 6.60/4.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100))),
% 6.60/4.83 inference(modus_ponens,[status(thm)],[12654, 12653])).
% 6.60/4.83 tff(12656,plain,
% 6.60/4.83 ((~v102(constB100)) <=> v104(constB100)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12655, 1343, 4609])).
% 6.60/4.83 tff(12657,plain,
% 6.60/4.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99)))),
% 6.60/4.83 inference(rewrite,[status(thm)],[])).
% 6.60/4.83 tff(12658,plain,
% 6.60/4.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12659,plain,
% 6.60/4.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99))),
% 6.60/4.83 inference(modus_ponens,[status(thm)],[12658, 12657])).
% 6.60/4.83 tff(12660,plain,
% 6.60/4.83 (v104(constB100) <=> v1(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12659, 1343, 4623])).
% 6.60/4.83 tff(12661,plain,
% 6.60/4.83 ((~(v104(constB100) <=> v1(constB99))) | (~v104(constB100)) | v1(constB99)),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12662,plain,
% 6.60/4.83 ((~(v104(constB100) <=> v1(constB99))) | (~v104(constB100))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12661, 1387])).
% 6.60/4.83 tff(12663,plain,
% 6.60/4.83 (~v104(constB100)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12662, 12660])).
% 6.60/4.83 tff(12664,plain,
% 6.60/4.83 ((~((~v102(constB100)) <=> v104(constB100))) | v102(constB100) | v104(constB100)),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12665,plain,
% 6.60/4.83 (v102(constB100)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12664, 12663, 12656])).
% 6.60/4.83 tff(12666,plain,
% 6.60/4.83 (v1(constB100) <=> v1(constB100)),
% 6.60/4.83 inference(rewrite,[status(thm)],[])).
% 6.60/4.83 tff(12667,axiom,(v1(constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_100')).
% 6.60/4.83 tff(12668,plain,
% 6.60/4.83 (v1(constB100)),
% 6.60/4.83 inference(modus_ponens,[status(thm)],[12667, 12666])).
% 6.60/4.83 tff(12669,plain,
% 6.60/4.83 ((~((~v1(constB100)) | (~v102(constB100)))) | (~v1(constB100)) | (~v102(constB100))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12670,plain,
% 6.60/4.83 ((~((~v1(constB100)) | (~v102(constB100)))) | (~v102(constB100))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12669, 12668])).
% 6.60/4.83 tff(12671,plain,
% 6.60/4.83 (~((~v1(constB100)) | (~v102(constB100)))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12670, 12665])).
% 6.60/4.83 tff(12672,plain,
% 6.60/4.83 ((~(v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100)))))) | v101(constB100) | ((~v1(constB100)) | (~v102(constB100)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12673,plain,
% 6.60/4.83 (v101(constB100)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12672, 12671, 12652])).
% 6.60/4.83 tff(12674,plain,
% 6.60/4.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99)))),
% 6.60/4.83 inference(rewrite,[status(thm)],[])).
% 6.60/4.83 tff(12675,plain,
% 6.60/4.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12676,plain,
% 6.60/4.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99))),
% 6.60/4.83 inference(modus_ponens,[status(thm)],[12675, 12674])).
% 6.60/4.83 tff(12677,plain,
% 6.60/4.83 (v110(constB100) <=> v108(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12676, 1343, 4650])).
% 6.60/4.83 tff(12678,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB99) <=> (v111(constB99) | v112(constB99)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12679,plain,
% 6.60/4.83 (v108(constB99) <=> (v111(constB99) | v112(constB99))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12678, 4661])).
% 6.60/4.83 tff(12680,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99)))))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12681,plain,
% 6.60/4.83 (v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99))))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12680, 4673])).
% 6.60/4.83 tff(12682,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB99) <=> (v114(constB99) | v125(constB99)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12683,plain,
% 6.60/4.83 (v113(constB99) <=> (v114(constB99) | v125(constB99))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12682, 4682])).
% 6.60/4.83 tff(12684,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB99) <=> (v115(constB99) | v124(constB99)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12685,plain,
% 6.60/4.83 (v114(constB99) <=> (v115(constB99) | v124(constB99))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12684, 4691])).
% 6.60/4.83 tff(12686,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB99) <=> (v116(constB99) | v123(constB99)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12687,plain,
% 6.60/4.83 (v115(constB99) <=> (v116(constB99) | v123(constB99))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12686, 4700])).
% 6.60/4.83 tff(12688,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB99) <=> (v117(constB99) | v122(constB99)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12689,plain,
% 6.60/4.83 (v116(constB99) <=> (v117(constB99) | v122(constB99))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12688, 4709])).
% 6.60/4.83 tff(12690,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB99) <=> (v118(constB99) | v121(constB99)))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12691,plain,
% 6.60/4.83 (v117(constB99) <=> (v118(constB99) | v121(constB99))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12690, 4718])).
% 6.60/4.83 tff(12692,plain,
% 6.60/4.83 ((v118(constB99) | v121(constB99)) | (~v121(constB99))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12693,plain,
% 6.60/4.83 (v118(constB99) | v121(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12692, 12630])).
% 6.60/4.83 tff(12694,plain,
% 6.60/4.83 ((~(v117(constB99) <=> (v118(constB99) | v121(constB99)))) | v117(constB99) | (~(v118(constB99) | v121(constB99)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12695,plain,
% 6.60/4.83 (v117(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12694, 12693, 12691])).
% 6.60/4.83 tff(12696,plain,
% 6.60/4.83 ((v117(constB99) | v122(constB99)) | (~v117(constB99))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12697,plain,
% 6.60/4.83 (v117(constB99) | v122(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12696, 12695])).
% 6.60/4.83 tff(12698,plain,
% 6.60/4.83 ((~(v116(constB99) <=> (v117(constB99) | v122(constB99)))) | v116(constB99) | (~(v117(constB99) | v122(constB99)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12699,plain,
% 6.60/4.83 (v116(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12698, 12697, 12689])).
% 6.60/4.83 tff(12700,plain,
% 6.60/4.83 ((v116(constB99) | v123(constB99)) | (~v116(constB99))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12701,plain,
% 6.60/4.83 (v116(constB99) | v123(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12700, 12699])).
% 6.60/4.83 tff(12702,plain,
% 6.60/4.83 ((~(v115(constB99) <=> (v116(constB99) | v123(constB99)))) | v115(constB99) | (~(v116(constB99) | v123(constB99)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12703,plain,
% 6.60/4.83 (v115(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12702, 12701, 12687])).
% 6.60/4.83 tff(12704,plain,
% 6.60/4.83 ((v115(constB99) | v124(constB99)) | (~v115(constB99))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12705,plain,
% 6.60/4.83 (v115(constB99) | v124(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12704, 12703])).
% 6.60/4.83 tff(12706,plain,
% 6.60/4.83 ((~(v114(constB99) <=> (v115(constB99) | v124(constB99)))) | v114(constB99) | (~(v115(constB99) | v124(constB99)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12707,plain,
% 6.60/4.83 (v114(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12706, 12705, 12685])).
% 6.60/4.83 tff(12708,plain,
% 6.60/4.83 ((v114(constB99) | v125(constB99)) | (~v114(constB99))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12709,plain,
% 6.60/4.83 (v114(constB99) | v125(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12708, 12707])).
% 6.60/4.83 tff(12710,plain,
% 6.60/4.83 ((~(v113(constB99) <=> (v114(constB99) | v125(constB99)))) | v113(constB99) | (~(v114(constB99) | v125(constB99)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12711,plain,
% 6.60/4.83 (v113(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12710, 12709, 12683])).
% 6.60/4.83 tff(12712,plain,
% 6.60/4.83 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB99)) <=> v111(constB99))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12713,plain,
% 6.60/4.83 ((~v126(constB99)) <=> v111(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12712, 4761])).
% 6.60/4.83 tff(12714,plain,
% 6.60/4.83 ((~((~v126(constB99)) <=> v111(constB99))) | v126(constB99) | v111(constB99)),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12715,plain,
% 6.60/4.83 ((~((~v126(constB99)) <=> v111(constB99))) | v126(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12714, 1356])).
% 6.60/4.83 tff(12716,plain,
% 6.60/4.83 (v126(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12715, 12713])).
% 6.60/4.83 tff(12717,plain,
% 6.60/4.83 ((~((~v113(constB99)) | (~v126(constB99)))) | (~v113(constB99)) | (~v126(constB99))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12718,plain,
% 6.60/4.83 ((~((~v113(constB99)) | (~v126(constB99)))) | (~v113(constB99))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12717, 12716])).
% 6.60/4.83 tff(12719,plain,
% 6.60/4.83 (~((~v113(constB99)) | (~v126(constB99)))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12718, 12711])).
% 6.60/4.83 tff(12720,plain,
% 6.60/4.83 ((~(v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99)))))) | v112(constB99) | ((~v113(constB99)) | (~v126(constB99)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12721,plain,
% 6.60/4.83 (v112(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12720, 12719, 12681])).
% 6.60/4.83 tff(12722,plain,
% 6.60/4.83 ((v111(constB99) | v112(constB99)) | (~v112(constB99))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12723,plain,
% 6.60/4.83 (v111(constB99) | v112(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12722, 12721])).
% 6.60/4.83 tff(12724,plain,
% 6.60/4.83 ((~(v108(constB99) <=> (v111(constB99) | v112(constB99)))) | v108(constB99) | (~(v111(constB99) | v112(constB99)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12725,plain,
% 6.60/4.83 (v108(constB99)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12724, 12723, 12679])).
% 6.60/4.83 tff(12726,plain,
% 6.60/4.83 ((~(v110(constB100) <=> v108(constB99))) | v110(constB100) | (~v108(constB99))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12727,plain,
% 6.60/4.83 (v110(constB100)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12726, 12725, 12677])).
% 6.60/4.83 tff(12728,plain,
% 6.60/4.83 ((~((~v101(constB100)) | (~v110(constB100)))) | (~v101(constB100)) | (~v110(constB100))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12729,plain,
% 6.60/4.83 (~((~v101(constB100)) | (~v110(constB100)))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12728, 12727, 12673])).
% 6.60/4.83 tff(12730,plain,
% 6.60/4.83 ((~(v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100)))))) | v100(constB100) | ((~v101(constB100)) | (~v110(constB100)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12731,plain,
% 6.60/4.83 (v100(constB100)),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12730, 12729, 12645])).
% 6.60/4.83 tff(12732,plain,
% 6.60/4.83 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB100)) | (~(((~v90(constB100, 2)) <=> v129(constB100, 2)) | ((~v90(constB100, 1)) <=> v129(constB100, 1)) | ((~v90(constB100, 0)) <=> v129(constB100, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB100)) | (~(((~v90(constB100, 2)) <=> v129(constB100, 2)) | ((~v90(constB100, 1)) <=> v129(constB100, 1)) | ((~v90(constB100, 0)) <=> v129(constB100, 0)))))),
% 6.60/4.83 inference(rewrite,[status(thm)],[])).
% 6.60/4.83 tff(12733,plain,
% 6.60/4.83 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB100)) | (~(((~v90(constB100, 2)) <=> v129(constB100, 2)) | ((~v90(constB100, 1)) <=> v129(constB100, 1)) | ((~v90(constB100, 0)) <=> v129(constB100, 0)))))),
% 6.60/4.83 inference(quant_inst,[status(thm)],[])).
% 6.60/4.83 tff(12734,plain,
% 6.60/4.83 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB100)) | (~(((~v90(constB100, 2)) <=> v129(constB100, 2)) | ((~v90(constB100, 1)) <=> v129(constB100, 1)) | ((~v90(constB100, 0)) <=> v129(constB100, 0))))),
% 6.60/4.83 inference(modus_ponens,[status(thm)],[12733, 12732])).
% 6.60/4.83 tff(12735,plain,
% 6.60/4.83 ((~v100(constB100)) | (~(((~v90(constB100, 2)) <=> v129(constB100, 2)) | ((~v90(constB100, 1)) <=> v129(constB100, 1)) | ((~v90(constB100, 0)) <=> v129(constB100, 0))))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12734, 4794])).
% 6.60/4.83 tff(12736,plain,
% 6.60/4.83 (~(((~v90(constB100, 2)) <=> v129(constB100, 2)) | ((~v90(constB100, 1)) <=> v129(constB100, 1)) | ((~v90(constB100, 0)) <=> v129(constB100, 0)))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12735, 12731])).
% 6.60/4.83 tff(12737,plain,
% 6.60/4.83 ((((~v90(constB100, 2)) <=> v129(constB100, 2)) | ((~v90(constB100, 1)) <=> v129(constB100, 1)) | ((~v90(constB100, 0)) <=> v129(constB100, 0))) | (~((~v90(constB100, 2)) <=> v129(constB100, 2)))),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12738,plain,
% 6.60/4.83 (~((~v90(constB100, 2)) <=> v129(constB100, 2))),
% 6.60/4.83 inference(unit_resolution,[status(thm)],[12737, 12736])).
% 6.60/4.83 tff(12739,plain,
% 6.60/4.83 (((~v90(constB100, 2)) <=> v129(constB100, 2)) | (~v90(constB100, 2)) | v129(constB100, 2)),
% 6.60/4.83 inference(tautology,[status(thm)],[])).
% 6.60/4.83 tff(12740,plain,
% 6.60/4.83 (~v90(constB100, 2)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12739, 12738, 12641])).
% 6.60/4.84 tff(12741,plain,
% 6.60/4.84 (((~v90(constB101, 2)) <=> v90(constB100, 2)) | (~v90(constB101, 2)) | v90(constB100, 2)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12742,plain,
% 6.60/4.84 (~v90(constB101, 2)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12741, 12740, 1340])).
% 6.60/4.84 tff(12743,plain,
% 6.60/4.84 ((((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 0)) <=> v90(constB100, 0))) | (~((~v90(constB101, 0)) <=> v90(constB100, 0)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12744,plain,
% 6.60/4.84 (~((~v90(constB101, 0)) <=> v90(constB100, 0))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12743, 1338])).
% 6.60/4.84 tff(12745,plain,
% 6.60/4.84 ((((~v129(constB100, 2)) <=> v127(constB99, 2)) | ((~v129(constB100, 1)) <=> v127(constB99, 1)) | ((~v129(constB100, 0)) <=> v127(constB99, 0))) | (~((~v129(constB100, 0)) <=> v127(constB99, 0)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12746,plain,
% 6.60/4.84 (~((~v129(constB100, 0)) <=> v127(constB99, 0))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12745, 1347])).
% 6.60/4.84 tff(12747,plain,
% 6.60/4.84 ((((~v127(constB99, 2)) <=> v130(constB99, 2)) | ((~v127(constB99, 1)) <=> v130(constB99, 1)) | ((~v127(constB99, 0)) <=> v130(constB99, 0))) | (~((~v127(constB99, 0)) <=> v130(constB99, 0)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12748,plain,
% 6.60/4.84 (~((~v127(constB99, 0)) <=> v130(constB99, 0))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12747, 1361])).
% 6.60/4.84 tff(12749,plain,
% 6.60/4.84 ((v130(constB99, 2) | (~v130(constB99, 1)) | (~v130(constB99, 0))) | v130(constB99, 0)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12750,plain,
% 6.60/4.84 (v130(constB99, 0)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12749, 12635])).
% 6.60/4.84 tff(12751,plain,
% 6.60/4.84 (((~v127(constB99, 0)) <=> v130(constB99, 0)) | v127(constB99, 0) | (~v130(constB99, 0))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12752,plain,
% 6.60/4.84 (v127(constB99, 0)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12751, 12750, 12748])).
% 6.60/4.84 tff(12753,plain,
% 6.60/4.84 (((~v129(constB100, 0)) <=> v127(constB99, 0)) | v129(constB100, 0) | (~v127(constB99, 0))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12754,plain,
% 6.60/4.84 (v129(constB100, 0)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12753, 12752, 12746])).
% 6.60/4.84 tff(12755,plain,
% 6.60/4.84 ((((~v90(constB100, 2)) <=> v129(constB100, 2)) | ((~v90(constB100, 1)) <=> v129(constB100, 1)) | ((~v90(constB100, 0)) <=> v129(constB100, 0))) | (~((~v90(constB100, 0)) <=> v129(constB100, 0)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12756,plain,
% 6.60/4.84 (~((~v90(constB100, 0)) <=> v129(constB100, 0))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12755, 12736])).
% 6.60/4.84 tff(12757,plain,
% 6.60/4.84 (((~v90(constB100, 0)) <=> v129(constB100, 0)) | v90(constB100, 0) | (~v129(constB100, 0))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12758,plain,
% 6.60/4.84 (v90(constB100, 0)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12757, 12756, 12754])).
% 6.60/4.84 tff(12759,plain,
% 6.60/4.84 (((~v90(constB101, 0)) <=> v90(constB100, 0)) | v90(constB101, 0) | (~v90(constB100, 0))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12760,plain,
% 6.60/4.84 (v90(constB101, 0)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12759, 12758, 12744])).
% 6.60/4.84 tff(12761,plain,
% 6.60/4.84 ((((~v90(constB101, 1)) <=> v90(constB100, 1)) | ((~v90(constB101, 2)) <=> v90(constB100, 2)) | ((~v90(constB101, 0)) <=> v90(constB100, 0))) | (~((~v90(constB101, 1)) <=> v90(constB100, 1)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12762,plain,
% 6.60/4.84 (~((~v90(constB101, 1)) <=> v90(constB100, 1))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12761, 1338])).
% 6.60/4.84 tff(12763,plain,
% 6.60/4.84 ((((~v129(constB100, 2)) <=> v127(constB99, 2)) | ((~v129(constB100, 1)) <=> v127(constB99, 1)) | ((~v129(constB100, 0)) <=> v127(constB99, 0))) | (~((~v129(constB100, 1)) <=> v127(constB99, 1)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12764,plain,
% 6.60/4.84 (~((~v129(constB100, 1)) <=> v127(constB99, 1))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12763, 1347])).
% 6.60/4.84 tff(12765,plain,
% 6.60/4.84 ((((~v127(constB99, 2)) <=> v130(constB99, 2)) | ((~v127(constB99, 1)) <=> v130(constB99, 1)) | ((~v127(constB99, 0)) <=> v130(constB99, 0))) | (~((~v127(constB99, 1)) <=> v130(constB99, 1)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12766,plain,
% 6.60/4.84 (~((~v127(constB99, 1)) <=> v130(constB99, 1))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12765, 1361])).
% 6.60/4.84 tff(12767,plain,
% 6.60/4.84 ((v130(constB99, 2) | (~v130(constB99, 1)) | (~v130(constB99, 0))) | v130(constB99, 1)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12768,plain,
% 6.60/4.84 (v130(constB99, 1)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12767, 12635])).
% 6.60/4.84 tff(12769,plain,
% 6.60/4.84 (((~v127(constB99, 1)) <=> v130(constB99, 1)) | v127(constB99, 1) | (~v130(constB99, 1))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12770,plain,
% 6.60/4.84 (v127(constB99, 1)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12769, 12768, 12766])).
% 6.60/4.84 tff(12771,plain,
% 6.60/4.84 (((~v129(constB100, 1)) <=> v127(constB99, 1)) | v129(constB100, 1) | (~v127(constB99, 1))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12772,plain,
% 6.60/4.84 (v129(constB100, 1)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12771, 12770, 12764])).
% 6.60/4.84 tff(12773,plain,
% 6.60/4.84 ((((~v90(constB100, 2)) <=> v129(constB100, 2)) | ((~v90(constB100, 1)) <=> v129(constB100, 1)) | ((~v90(constB100, 0)) <=> v129(constB100, 0))) | (~((~v90(constB100, 1)) <=> v129(constB100, 1)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12774,plain,
% 6.60/4.84 (~((~v90(constB100, 1)) <=> v129(constB100, 1))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12773, 12736])).
% 6.60/4.84 tff(12775,plain,
% 6.60/4.84 (((~v90(constB100, 1)) <=> v129(constB100, 1)) | v90(constB100, 1) | (~v129(constB100, 1))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12776,plain,
% 6.60/4.84 (v90(constB100, 1)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12775, 12774, 12772])).
% 6.60/4.84 tff(12777,plain,
% 6.60/4.84 (((~v90(constB101, 1)) <=> v90(constB100, 1)) | v90(constB101, 1) | (~v90(constB100, 1))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12778,plain,
% 6.60/4.84 (v90(constB101, 1)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12777, 12776, 12762])).
% 6.60/4.84 tff(12779,plain,
% 6.60/4.84 ((~(v90(constB101, 2) | (~v90(constB101, 1)) | (~v90(constB101, 0)))) | v90(constB101, 2) | (~v90(constB101, 1)) | (~v90(constB101, 0))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12780,plain,
% 6.60/4.84 (~(v90(constB101, 2) | (~v90(constB101, 1)) | (~v90(constB101, 0)))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12779, 12778, 12760, 12742])).
% 6.60/4.84 tff(12781,plain,
% 6.60/4.84 ((~(v122(constB101) <=> (~(v90(constB101, 2) | (~v90(constB101, 1)) | (~v90(constB101, 0)))))) | v122(constB101) | (v90(constB101, 2) | (~v90(constB101, 1)) | (~v90(constB101, 0)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12782,plain,
% 6.60/4.84 (v122(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12781, 12780, 1304])).
% 6.60/4.84 tff(12783,plain,
% 6.60/4.84 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB101)) | (~(v130(constB101, 1) | v130(constB101, 0) | (~v130(constB101, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB101)) | (~(v130(constB101, 1) | v130(constB101, 0) | (~v130(constB101, 2)))))),
% 6.60/4.84 inference(rewrite,[status(thm)],[])).
% 6.60/4.84 tff(12784,plain,
% 6.60/4.84 (((~v122(constB101)) | (~(v130(constB101, 0) | v130(constB101, 1) | (~v130(constB101, 2))))) <=> ((~v122(constB101)) | (~(v130(constB101, 1) | v130(constB101, 0) | (~v130(constB101, 2)))))),
% 6.60/4.84 inference(rewrite,[status(thm)],[])).
% 6.60/4.84 tff(12785,plain,
% 6.60/4.84 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB101)) | (~(v130(constB101, 0) | v130(constB101, 1) | (~v130(constB101, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB101)) | (~(v130(constB101, 1) | v130(constB101, 0) | (~v130(constB101, 2))))))),
% 6.60/4.84 inference(monotonicity,[status(thm)],[12784])).
% 6.60/4.84 tff(12786,plain,
% 6.60/4.84 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB101)) | (~(v130(constB101, 0) | v130(constB101, 1) | (~v130(constB101, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB101)) | (~(v130(constB101, 1) | v130(constB101, 0) | (~v130(constB101, 2)))))),
% 6.60/4.84 inference(transitivity,[status(thm)],[12785, 12783])).
% 6.60/4.84 tff(12787,plain,
% 6.60/4.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB101)) | (~(v130(constB101, 0) | v130(constB101, 1) | (~v130(constB101, 2)))))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12788,plain,
% 6.60/4.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB101)) | (~(v130(constB101, 1) | v130(constB101, 0) | (~v130(constB101, 2))))),
% 6.60/4.84 inference(modus_ponens,[status(thm)],[12787, 12786])).
% 6.60/4.84 tff(12789,plain,
% 6.60/4.84 ((~v122(constB101)) | (~(v130(constB101, 1) | v130(constB101, 0) | (~v130(constB101, 2))))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12788, 5588])).
% 6.60/4.84 tff(12790,plain,
% 6.60/4.84 (~(v130(constB101, 1) | v130(constB101, 0) | (~v130(constB101, 2)))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12789, 12782])).
% 6.60/4.84 tff(12791,plain,
% 6.60/4.84 ((v130(constB101, 1) | v130(constB101, 0) | (~v130(constB101, 2))) | v130(constB101, 2)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12792,plain,
% 6.60/4.84 (v130(constB101, 2)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12791, 12790])).
% 6.60/4.84 tff(12793,plain,
% 6.60/4.84 (((~v127(constB101, 2)) <=> v130(constB101, 2)) | v127(constB101, 2) | (~v130(constB101, 2))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12794,plain,
% 6.60/4.84 (v127(constB101, 2)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12793, 12792, 1297])).
% 6.60/4.84 tff(12795,plain,
% 6.60/4.84 (((~v129(constB102, 2)) <=> v127(constB101, 2)) | v129(constB102, 2) | (~v127(constB101, 2))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12796,plain,
% 6.60/4.84 (v129(constB102, 2)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12795, 12794, 1283])).
% 6.60/4.84 tff(12797,plain,
% 6.60/4.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))))),
% 6.60/4.84 inference(rewrite,[status(thm)],[])).
% 6.60/4.84 tff(12798,plain,
% 6.60/4.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12799,plain,
% 6.60/4.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102)))))),
% 6.60/4.84 inference(modus_ponens,[status(thm)],[12798, 12797])).
% 6.60/4.84 tff(12800,plain,
% 6.60/4.84 (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12799, 1277, 273])).
% 6.60/4.84 tff(12801,plain,
% 6.60/4.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))),
% 6.60/4.84 inference(rewrite,[status(thm)],[])).
% 6.60/4.84 tff(12802,plain,
% 6.60/4.84 (((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102)))))) <=> ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))),
% 6.60/4.84 inference(rewrite,[status(thm)],[])).
% 6.60/4.84 tff(12803,plain,
% 6.60/4.84 (((~![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) <=> (~((~v1(constB102)) | (~v102(constB102)))))))),
% 6.60/4.84 inference(monotonicity,[status(thm)],[12802])).
% 6.60/4.84 tff(12804,plain,
% 6.60/4.84 (((~![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) <=> (~((~v1(constB102)) | (~v102(constB102))))))),
% 6.60/4.84 inference(transitivity,[status(thm)],[12803, 12801])).
% 6.60/4.84 tff(12805,plain,
% 6.60/4.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102))))))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12806,plain,
% 6.60/4.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102)))))),
% 6.60/4.84 inference(modus_ponens,[status(thm)],[12805, 12804])).
% 6.60/4.84 tff(12807,plain,
% 6.60/4.84 (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12806, 1277, 293])).
% 6.60/4.84 tff(12808,plain,
% 6.60/4.84 (((~![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)))),
% 6.60/4.84 inference(rewrite,[status(thm)],[])).
% 6.60/4.84 tff(12809,plain,
% 6.60/4.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102)))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12810,plain,
% 6.60/4.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102))),
% 6.60/4.84 inference(modus_ponens,[status(thm)],[12809, 12808])).
% 6.60/4.84 tff(12811,plain,
% 6.60/4.84 ((~v102(constB102)) <=> v104(constB102)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12810, 1277, 4609])).
% 6.60/4.84 tff(12812,plain,
% 6.60/4.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101)))),
% 6.60/4.84 inference(rewrite,[status(thm)],[])).
% 6.60/4.84 tff(12813,plain,
% 6.60/4.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101)))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12814,plain,
% 6.60/4.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101))),
% 6.60/4.84 inference(modus_ponens,[status(thm)],[12813, 12812])).
% 6.60/4.84 tff(12815,plain,
% 6.60/4.84 (v104(constB102) <=> v1(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12814, 1277, 4623])).
% 6.60/4.84 tff(12816,plain,
% 6.60/4.84 ((~(v104(constB102) <=> v1(constB101))) | (~v104(constB102)) | v1(constB101)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12817,plain,
% 6.60/4.84 ((~(v104(constB102) <=> v1(constB101))) | (~v104(constB102))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12816, 1321])).
% 6.60/4.84 tff(12818,plain,
% 6.60/4.84 (~v104(constB102)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12817, 12815])).
% 6.60/4.84 tff(12819,plain,
% 6.60/4.84 ((~((~v102(constB102)) <=> v104(constB102))) | v102(constB102) | v104(constB102)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12820,plain,
% 6.60/4.84 (v102(constB102)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12819, 12818, 12811])).
% 6.60/4.84 tff(12821,plain,
% 6.60/4.84 (v1(constB102) <=> v1(constB102)),
% 6.60/4.84 inference(rewrite,[status(thm)],[])).
% 6.60/4.84 tff(12822,axiom,(v1(constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_102')).
% 6.60/4.84 tff(12823,plain,
% 6.60/4.84 (v1(constB102)),
% 6.60/4.84 inference(modus_ponens,[status(thm)],[12822, 12821])).
% 6.60/4.84 tff(12824,plain,
% 6.60/4.84 ((~((~v1(constB102)) | (~v102(constB102)))) | (~v1(constB102)) | (~v102(constB102))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12825,plain,
% 6.60/4.84 ((~((~v1(constB102)) | (~v102(constB102)))) | (~v102(constB102))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12824, 12823])).
% 6.60/4.84 tff(12826,plain,
% 6.60/4.84 (~((~v1(constB102)) | (~v102(constB102)))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12825, 12820])).
% 6.60/4.84 tff(12827,plain,
% 6.60/4.84 ((~(v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102)))))) | v101(constB102) | ((~v1(constB102)) | (~v102(constB102)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12828,plain,
% 6.60/4.84 (v101(constB102)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12827, 12826, 12807])).
% 6.60/4.84 tff(12829,plain,
% 6.60/4.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101)))),
% 6.60/4.84 inference(rewrite,[status(thm)],[])).
% 6.60/4.84 tff(12830,plain,
% 6.60/4.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101)))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12831,plain,
% 6.60/4.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101))),
% 6.60/4.84 inference(modus_ponens,[status(thm)],[12830, 12829])).
% 6.60/4.84 tff(12832,plain,
% 6.60/4.84 (v110(constB102) <=> v108(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12831, 1277, 4650])).
% 6.60/4.84 tff(12833,plain,
% 6.60/4.84 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB101) <=> (v111(constB101) | v112(constB101)))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12834,plain,
% 6.60/4.84 (v108(constB101) <=> (v111(constB101) | v112(constB101))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12833, 4661])).
% 6.60/4.84 tff(12835,plain,
% 6.60/4.84 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101)))))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12836,plain,
% 6.60/4.84 (v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101))))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12835, 4673])).
% 6.60/4.84 tff(12837,plain,
% 6.60/4.84 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB101) <=> (v114(constB101) | v125(constB101)))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12838,plain,
% 6.60/4.84 (v113(constB101) <=> (v114(constB101) | v125(constB101))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12837, 4682])).
% 6.60/4.84 tff(12839,plain,
% 6.60/4.84 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB101) <=> (v115(constB101) | v124(constB101)))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12840,plain,
% 6.60/4.84 (v114(constB101) <=> (v115(constB101) | v124(constB101))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12839, 4691])).
% 6.60/4.84 tff(12841,plain,
% 6.60/4.84 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB101) <=> (v116(constB101) | v123(constB101)))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12842,plain,
% 6.60/4.84 (v115(constB101) <=> (v116(constB101) | v123(constB101))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12841, 4700])).
% 6.60/4.84 tff(12843,plain,
% 6.60/4.84 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB101) <=> (v117(constB101) | v122(constB101)))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12844,plain,
% 6.60/4.84 (v116(constB101) <=> (v117(constB101) | v122(constB101))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12843, 4709])).
% 6.60/4.84 tff(12845,plain,
% 6.60/4.84 ((v117(constB101) | v122(constB101)) | (~v122(constB101))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12846,plain,
% 6.60/4.84 (v117(constB101) | v122(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12845, 12782])).
% 6.60/4.84 tff(12847,plain,
% 6.60/4.84 ((~(v116(constB101) <=> (v117(constB101) | v122(constB101)))) | v116(constB101) | (~(v117(constB101) | v122(constB101)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12848,plain,
% 6.60/4.84 (v116(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12847, 12846, 12844])).
% 6.60/4.84 tff(12849,plain,
% 6.60/4.84 ((v116(constB101) | v123(constB101)) | (~v116(constB101))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12850,plain,
% 6.60/4.84 (v116(constB101) | v123(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12849, 12848])).
% 6.60/4.84 tff(12851,plain,
% 6.60/4.84 ((~(v115(constB101) <=> (v116(constB101) | v123(constB101)))) | v115(constB101) | (~(v116(constB101) | v123(constB101)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12852,plain,
% 6.60/4.84 (v115(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12851, 12850, 12842])).
% 6.60/4.84 tff(12853,plain,
% 6.60/4.84 ((v115(constB101) | v124(constB101)) | (~v115(constB101))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12854,plain,
% 6.60/4.84 (v115(constB101) | v124(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12853, 12852])).
% 6.60/4.84 tff(12855,plain,
% 6.60/4.84 ((~(v114(constB101) <=> (v115(constB101) | v124(constB101)))) | v114(constB101) | (~(v115(constB101) | v124(constB101)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12856,plain,
% 6.60/4.84 (v114(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12855, 12854, 12840])).
% 6.60/4.84 tff(12857,plain,
% 6.60/4.84 ((v114(constB101) | v125(constB101)) | (~v114(constB101))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12858,plain,
% 6.60/4.84 (v114(constB101) | v125(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12857, 12856])).
% 6.60/4.84 tff(12859,plain,
% 6.60/4.84 ((~(v113(constB101) <=> (v114(constB101) | v125(constB101)))) | v113(constB101) | (~(v114(constB101) | v125(constB101)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12860,plain,
% 6.60/4.84 (v113(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12859, 12858, 12838])).
% 6.60/4.84 tff(12861,plain,
% 6.60/4.84 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB101)) <=> v111(constB101))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12862,plain,
% 6.60/4.84 ((~v126(constB101)) <=> v111(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12861, 4761])).
% 6.60/4.84 tff(12863,plain,
% 6.60/4.84 ((~((~v126(constB101)) <=> v111(constB101))) | v126(constB101) | v111(constB101)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12864,plain,
% 6.60/4.84 ((~((~v126(constB101)) <=> v111(constB101))) | v126(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12863, 1290])).
% 6.60/4.84 tff(12865,plain,
% 6.60/4.84 (v126(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12864, 12862])).
% 6.60/4.84 tff(12866,plain,
% 6.60/4.84 ((~((~v113(constB101)) | (~v126(constB101)))) | (~v113(constB101)) | (~v126(constB101))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12867,plain,
% 6.60/4.84 ((~((~v113(constB101)) | (~v126(constB101)))) | (~v113(constB101))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12866, 12865])).
% 6.60/4.84 tff(12868,plain,
% 6.60/4.84 (~((~v113(constB101)) | (~v126(constB101)))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12867, 12860])).
% 6.60/4.84 tff(12869,plain,
% 6.60/4.84 ((~(v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101)))))) | v112(constB101) | ((~v113(constB101)) | (~v126(constB101)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12870,plain,
% 6.60/4.84 (v112(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12869, 12868, 12836])).
% 6.60/4.84 tff(12871,plain,
% 6.60/4.84 ((v111(constB101) | v112(constB101)) | (~v112(constB101))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12872,plain,
% 6.60/4.84 (v111(constB101) | v112(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12871, 12870])).
% 6.60/4.84 tff(12873,plain,
% 6.60/4.84 ((~(v108(constB101) <=> (v111(constB101) | v112(constB101)))) | v108(constB101) | (~(v111(constB101) | v112(constB101)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12874,plain,
% 6.60/4.84 (v108(constB101)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12873, 12872, 12834])).
% 6.60/4.84 tff(12875,plain,
% 6.60/4.84 ((~(v110(constB102) <=> v108(constB101))) | v110(constB102) | (~v108(constB101))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12876,plain,
% 6.60/4.84 (v110(constB102)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12875, 12874, 12832])).
% 6.60/4.84 tff(12877,plain,
% 6.60/4.84 ((~((~v101(constB102)) | (~v110(constB102)))) | (~v101(constB102)) | (~v110(constB102))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12878,plain,
% 6.60/4.84 (~((~v101(constB102)) | (~v110(constB102)))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12877, 12876, 12828])).
% 6.60/4.84 tff(12879,plain,
% 6.60/4.84 ((~(v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102)))))) | v100(constB102) | ((~v101(constB102)) | (~v110(constB102)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12880,plain,
% 6.60/4.84 (v100(constB102)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12879, 12878, 12800])).
% 6.60/4.84 tff(12881,plain,
% 6.60/4.84 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB102)) | (~(((~v90(constB102, 0)) <=> v129(constB102, 0)) | ((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB102)) | (~(((~v90(constB102, 0)) <=> v129(constB102, 0)) | ((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1)))))),
% 6.60/4.84 inference(rewrite,[status(thm)],[])).
% 6.60/4.84 tff(12882,plain,
% 6.60/4.84 (((~v100(constB102)) | (~(((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1)) | ((~v90(constB102, 0)) <=> v129(constB102, 0))))) <=> ((~v100(constB102)) | (~(((~v90(constB102, 0)) <=> v129(constB102, 0)) | ((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1)))))),
% 6.60/4.84 inference(rewrite,[status(thm)],[])).
% 6.60/4.84 tff(12883,plain,
% 6.60/4.84 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB102)) | (~(((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1)) | ((~v90(constB102, 0)) <=> v129(constB102, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB102)) | (~(((~v90(constB102, 0)) <=> v129(constB102, 0)) | ((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1))))))),
% 6.60/4.84 inference(monotonicity,[status(thm)],[12882])).
% 6.60/4.84 tff(12884,plain,
% 6.60/4.84 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB102)) | (~(((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1)) | ((~v90(constB102, 0)) <=> v129(constB102, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB102)) | (~(((~v90(constB102, 0)) <=> v129(constB102, 0)) | ((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1)))))),
% 6.60/4.84 inference(transitivity,[status(thm)],[12883, 12881])).
% 6.60/4.84 tff(12885,plain,
% 6.60/4.84 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB102)) | (~(((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1)) | ((~v90(constB102, 0)) <=> v129(constB102, 0)))))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12886,plain,
% 6.60/4.84 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB102)) | (~(((~v90(constB102, 0)) <=> v129(constB102, 0)) | ((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1))))),
% 6.60/4.84 inference(modus_ponens,[status(thm)],[12885, 12884])).
% 6.60/4.84 tff(12887,plain,
% 6.60/4.84 ((~v100(constB102)) | (~(((~v90(constB102, 0)) <=> v129(constB102, 0)) | ((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1))))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12886, 4794])).
% 6.60/4.84 tff(12888,plain,
% 6.60/4.84 (~(((~v90(constB102, 0)) <=> v129(constB102, 0)) | ((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1)))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12887, 12880])).
% 6.60/4.84 tff(12889,plain,
% 6.60/4.84 ((((~v90(constB102, 0)) <=> v129(constB102, 0)) | ((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1))) | (~((~v90(constB102, 2)) <=> v129(constB102, 2)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12890,plain,
% 6.60/4.84 (~((~v90(constB102, 2)) <=> v129(constB102, 2))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12889, 12888])).
% 6.60/4.84 tff(12891,plain,
% 6.60/4.84 (((~v90(constB102, 2)) <=> v129(constB102, 2)) | v90(constB102, 2) | (~v129(constB102, 2))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12892,plain,
% 6.60/4.84 (v90(constB102, 2)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12891, 12890, 12796])).
% 6.60/4.84 tff(12893,plain,
% 6.60/4.84 (((~v90(constB103, 2)) <=> v90(constB102, 2)) | v90(constB103, 2) | (~v90(constB102, 2))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12894,plain,
% 6.60/4.84 (v90(constB103, 2)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12893, 12892, 1274])).
% 6.60/4.84 tff(12895,plain,
% 6.60/4.84 ((((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 0)) <=> v90(constB102, 0))) | (~((~v90(constB103, 0)) <=> v90(constB102, 0)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12896,plain,
% 6.60/4.84 (~((~v90(constB103, 0)) <=> v90(constB102, 0))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12895, 1272])).
% 6.60/4.84 tff(12897,plain,
% 6.60/4.84 ((((~v129(constB102, 2)) <=> v127(constB101, 2)) | ((~v129(constB102, 1)) <=> v127(constB101, 1)) | ((~v129(constB102, 0)) <=> v127(constB101, 0))) | (~((~v129(constB102, 0)) <=> v127(constB101, 0)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12898,plain,
% 6.60/4.84 (~((~v129(constB102, 0)) <=> v127(constB101, 0))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12897, 1281])).
% 6.60/4.84 tff(12899,plain,
% 6.60/4.84 ((((~v127(constB101, 2)) <=> v130(constB101, 2)) | ((~v127(constB101, 1)) <=> v130(constB101, 1)) | ((~v127(constB101, 0)) <=> v130(constB101, 0))) | (~((~v127(constB101, 0)) <=> v130(constB101, 0)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12900,plain,
% 6.60/4.84 (~((~v127(constB101, 0)) <=> v130(constB101, 0))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12899, 1295])).
% 6.60/4.84 tff(12901,plain,
% 6.60/4.84 ((v130(constB101, 1) | v130(constB101, 0) | (~v130(constB101, 2))) | (~v130(constB101, 0))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12902,plain,
% 6.60/4.84 (~v130(constB101, 0)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12901, 12790])).
% 6.60/4.84 tff(12903,plain,
% 6.60/4.84 (((~v127(constB101, 0)) <=> v130(constB101, 0)) | (~v127(constB101, 0)) | v130(constB101, 0)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12904,plain,
% 6.60/4.84 (~v127(constB101, 0)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12903, 12902, 12900])).
% 6.60/4.84 tff(12905,plain,
% 6.60/4.84 (((~v129(constB102, 0)) <=> v127(constB101, 0)) | (~v129(constB102, 0)) | v127(constB101, 0)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12906,plain,
% 6.60/4.84 (~v129(constB102, 0)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12905, 12904, 12898])).
% 6.60/4.84 tff(12907,plain,
% 6.60/4.84 ((((~v90(constB102, 0)) <=> v129(constB102, 0)) | ((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1))) | (~((~v90(constB102, 0)) <=> v129(constB102, 0)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12908,plain,
% 6.60/4.84 (~((~v90(constB102, 0)) <=> v129(constB102, 0))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12907, 12888])).
% 6.60/4.84 tff(12909,plain,
% 6.60/4.84 (((~v90(constB102, 0)) <=> v129(constB102, 0)) | (~v90(constB102, 0)) | v129(constB102, 0)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12910,plain,
% 6.60/4.84 (~v90(constB102, 0)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12909, 12908, 12906])).
% 6.60/4.84 tff(12911,plain,
% 6.60/4.84 (((~v90(constB103, 0)) <=> v90(constB102, 0)) | (~v90(constB103, 0)) | v90(constB102, 0)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12912,plain,
% 6.60/4.84 (~v90(constB103, 0)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12911, 12910, 12896])).
% 6.60/4.84 tff(12913,plain,
% 6.60/4.84 ((((~v90(constB103, 1)) <=> v90(constB102, 1)) | ((~v90(constB103, 2)) <=> v90(constB102, 2)) | ((~v90(constB103, 0)) <=> v90(constB102, 0))) | (~((~v90(constB103, 1)) <=> v90(constB102, 1)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12914,plain,
% 6.60/4.84 (~((~v90(constB103, 1)) <=> v90(constB102, 1))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12913, 1272])).
% 6.60/4.84 tff(12915,plain,
% 6.60/4.84 ((((~v129(constB102, 2)) <=> v127(constB101, 2)) | ((~v129(constB102, 1)) <=> v127(constB101, 1)) | ((~v129(constB102, 0)) <=> v127(constB101, 0))) | (~((~v129(constB102, 1)) <=> v127(constB101, 1)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12916,plain,
% 6.60/4.84 (~((~v129(constB102, 1)) <=> v127(constB101, 1))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12915, 1281])).
% 6.60/4.84 tff(12917,plain,
% 6.60/4.84 ((((~v127(constB101, 2)) <=> v130(constB101, 2)) | ((~v127(constB101, 1)) <=> v130(constB101, 1)) | ((~v127(constB101, 0)) <=> v130(constB101, 0))) | (~((~v127(constB101, 1)) <=> v130(constB101, 1)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12918,plain,
% 6.60/4.84 (~((~v127(constB101, 1)) <=> v130(constB101, 1))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12917, 1295])).
% 6.60/4.84 tff(12919,plain,
% 6.60/4.84 ((v130(constB101, 1) | v130(constB101, 0) | (~v130(constB101, 2))) | (~v130(constB101, 1))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12920,plain,
% 6.60/4.84 (~v130(constB101, 1)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12919, 12790])).
% 6.60/4.84 tff(12921,plain,
% 6.60/4.84 (((~v127(constB101, 1)) <=> v130(constB101, 1)) | (~v127(constB101, 1)) | v130(constB101, 1)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12922,plain,
% 6.60/4.84 (~v127(constB101, 1)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12921, 12920, 12918])).
% 6.60/4.84 tff(12923,plain,
% 6.60/4.84 (((~v129(constB102, 1)) <=> v127(constB101, 1)) | (~v129(constB102, 1)) | v127(constB101, 1)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12924,plain,
% 6.60/4.84 (~v129(constB102, 1)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12923, 12922, 12916])).
% 6.60/4.84 tff(12925,plain,
% 6.60/4.84 ((((~v90(constB102, 0)) <=> v129(constB102, 0)) | ((~v90(constB102, 2)) <=> v129(constB102, 2)) | ((~v90(constB102, 1)) <=> v129(constB102, 1))) | (~((~v90(constB102, 1)) <=> v129(constB102, 1)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12926,plain,
% 6.60/4.84 (~((~v90(constB102, 1)) <=> v129(constB102, 1))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12925, 12888])).
% 6.60/4.84 tff(12927,plain,
% 6.60/4.84 (((~v90(constB102, 1)) <=> v129(constB102, 1)) | (~v90(constB102, 1)) | v129(constB102, 1)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12928,plain,
% 6.60/4.84 (~v90(constB102, 1)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12927, 12926, 12924])).
% 6.60/4.84 tff(12929,plain,
% 6.60/4.84 (((~v90(constB103, 1)) <=> v90(constB102, 1)) | (~v90(constB103, 1)) | v90(constB102, 1)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12930,plain,
% 6.60/4.84 (~v90(constB103, 1)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12929, 12928, 12914])).
% 6.60/4.84 tff(12931,plain,
% 6.60/4.84 ((~(v90(constB103, 1) | v90(constB103, 0) | (~v90(constB103, 2)))) | v90(constB103, 1) | v90(constB103, 0) | (~v90(constB103, 2))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12932,plain,
% 6.60/4.84 (~(v90(constB103, 1) | v90(constB103, 0) | (~v90(constB103, 2)))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12931, 12930, 12912, 12894])).
% 6.60/4.84 tff(12933,plain,
% 6.60/4.84 ((~(v123(constB103) <=> (~(v90(constB103, 1) | v90(constB103, 0) | (~v90(constB103, 2)))))) | v123(constB103) | (v90(constB103, 1) | v90(constB103, 0) | (~v90(constB103, 2)))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12934,plain,
% 6.60/4.84 (v123(constB103)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12933, 12932, 1238])).
% 6.60/4.84 tff(12935,plain,
% 6.60/4.84 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB103)) | (~(v130(constB103, 0) | (~v130(constB103, 2)) | (~v130(constB103, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB103)) | (~(v130(constB103, 0) | (~v130(constB103, 2)) | (~v130(constB103, 1)))))),
% 6.60/4.84 inference(rewrite,[status(thm)],[])).
% 6.60/4.84 tff(12936,plain,
% 6.60/4.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB103)) | (~(v130(constB103, 0) | (~v130(constB103, 2)) | (~v130(constB103, 1)))))),
% 6.60/4.84 inference(quant_inst,[status(thm)],[])).
% 6.60/4.84 tff(12937,plain,
% 6.60/4.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB103)) | (~(v130(constB103, 0) | (~v130(constB103, 2)) | (~v130(constB103, 1))))),
% 6.60/4.84 inference(modus_ponens,[status(thm)],[12936, 12935])).
% 6.60/4.84 tff(12938,plain,
% 6.60/4.84 ((~v123(constB103)) | (~(v130(constB103, 0) | (~v130(constB103, 2)) | (~v130(constB103, 1))))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12937, 4861])).
% 6.60/4.84 tff(12939,plain,
% 6.60/4.84 (~(v130(constB103, 0) | (~v130(constB103, 2)) | (~v130(constB103, 1)))),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12938, 12934])).
% 6.60/4.84 tff(12940,plain,
% 6.60/4.84 ((v130(constB103, 0) | (~v130(constB103, 2)) | (~v130(constB103, 1))) | v130(constB103, 2)),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12941,plain,
% 6.60/4.84 (v130(constB103, 2)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12940, 12939])).
% 6.60/4.84 tff(12942,plain,
% 6.60/4.84 (((~v127(constB103, 2)) <=> v130(constB103, 2)) | v127(constB103, 2) | (~v130(constB103, 2))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12943,plain,
% 6.60/4.84 (v127(constB103, 2)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12942, 12941, 1231])).
% 6.60/4.84 tff(12944,plain,
% 6.60/4.84 (((~v129(constB104, 2)) <=> v127(constB103, 2)) | v129(constB104, 2) | (~v127(constB103, 2))),
% 6.60/4.84 inference(tautology,[status(thm)],[])).
% 6.60/4.84 tff(12945,plain,
% 6.60/4.84 (v129(constB104, 2)),
% 6.60/4.84 inference(unit_resolution,[status(thm)],[12944, 12943, 1217])).
% 6.60/4.84 tff(12946,plain,
% 6.60/4.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(12947,plain,
% 6.66/4.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(12948,plain,
% 6.66/4.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104)))))),
% 6.66/4.85 inference(modus_ponens,[status(thm)],[12947, 12946])).
% 6.66/4.85 tff(12949,plain,
% 6.66/4.85 (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12948, 1211, 273])).
% 6.66/4.85 tff(12950,plain,
% 6.66/4.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(12951,plain,
% 6.66/4.85 (((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104)))))) <=> ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(12952,plain,
% 6.66/4.85 (((~![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) <=> (~((~v1(constB104)) | (~v102(constB104)))))))),
% 6.66/4.85 inference(monotonicity,[status(thm)],[12951])).
% 6.66/4.85 tff(12953,plain,
% 6.66/4.85 (((~![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) <=> (~((~v1(constB104)) | (~v102(constB104))))))),
% 6.66/4.85 inference(transitivity,[status(thm)],[12952, 12950])).
% 6.66/4.85 tff(12954,plain,
% 6.66/4.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104))))))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(12955,plain,
% 6.66/4.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104)))))),
% 6.66/4.85 inference(modus_ponens,[status(thm)],[12954, 12953])).
% 6.66/4.85 tff(12956,plain,
% 6.66/4.85 (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12955, 1211, 293])).
% 6.66/4.85 tff(12957,plain,
% 6.66/4.85 (((~![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)))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(12958,plain,
% 6.66/4.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104)))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(12959,plain,
% 6.66/4.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104))),
% 6.66/4.85 inference(modus_ponens,[status(thm)],[12958, 12957])).
% 6.66/4.85 tff(12960,plain,
% 6.66/4.85 ((~v102(constB104)) <=> v104(constB104)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12959, 1211, 4609])).
% 6.66/4.85 tff(12961,plain,
% 6.66/4.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103)))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(12962,plain,
% 6.66/4.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103)))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(12963,plain,
% 6.66/4.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103))),
% 6.66/4.85 inference(modus_ponens,[status(thm)],[12962, 12961])).
% 6.66/4.85 tff(12964,plain,
% 6.66/4.85 (v104(constB104) <=> v1(constB103)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12963, 1211, 4623])).
% 6.66/4.85 tff(12965,plain,
% 6.66/4.85 ((~(v104(constB104) <=> v1(constB103))) | (~v104(constB104)) | v1(constB103)),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(12966,plain,
% 6.66/4.85 ((~(v104(constB104) <=> v1(constB103))) | (~v104(constB104))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12965, 1255])).
% 6.66/4.85 tff(12967,plain,
% 6.66/4.85 (~v104(constB104)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12966, 12964])).
% 6.66/4.85 tff(12968,plain,
% 6.66/4.85 ((~((~v102(constB104)) <=> v104(constB104))) | v102(constB104) | v104(constB104)),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(12969,plain,
% 6.66/4.85 (v102(constB104)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12968, 12967, 12960])).
% 6.66/4.85 tff(12970,plain,
% 6.66/4.85 (v1(constB104) <=> v1(constB104)),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(12971,axiom,(v1(constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_104')).
% 6.66/4.85 tff(12972,plain,
% 6.66/4.85 (v1(constB104)),
% 6.66/4.85 inference(modus_ponens,[status(thm)],[12971, 12970])).
% 6.66/4.85 tff(12973,plain,
% 6.66/4.85 ((~((~v1(constB104)) | (~v102(constB104)))) | (~v1(constB104)) | (~v102(constB104))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(12974,plain,
% 6.66/4.85 ((~((~v1(constB104)) | (~v102(constB104)))) | (~v102(constB104))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12973, 12972])).
% 6.66/4.85 tff(12975,plain,
% 6.66/4.85 (~((~v1(constB104)) | (~v102(constB104)))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12974, 12969])).
% 6.66/4.85 tff(12976,plain,
% 6.66/4.85 ((~(v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104)))))) | v101(constB104) | ((~v1(constB104)) | (~v102(constB104)))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(12977,plain,
% 6.66/4.85 (v101(constB104)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12976, 12975, 12956])).
% 6.66/4.85 tff(12978,plain,
% 6.66/4.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103)))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(12979,plain,
% 6.66/4.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103)))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(12980,plain,
% 6.66/4.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103))),
% 6.66/4.85 inference(modus_ponens,[status(thm)],[12979, 12978])).
% 6.66/4.85 tff(12981,plain,
% 6.66/4.85 (v110(constB104) <=> v108(constB103)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12980, 1211, 4650])).
% 6.66/4.85 tff(12982,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB103) <=> (v111(constB103) | v112(constB103)))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(12983,plain,
% 6.66/4.85 (v108(constB103) <=> (v111(constB103) | v112(constB103))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12982, 4661])).
% 6.66/4.85 tff(12984,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103)))))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(12985,plain,
% 6.66/4.85 (v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103))))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12984, 4673])).
% 6.66/4.85 tff(12986,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB103) <=> (v114(constB103) | v125(constB103)))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(12987,plain,
% 6.66/4.85 (v113(constB103) <=> (v114(constB103) | v125(constB103))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12986, 4682])).
% 6.66/4.85 tff(12988,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB103) <=> (v115(constB103) | v124(constB103)))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(12989,plain,
% 6.66/4.85 (v114(constB103) <=> (v115(constB103) | v124(constB103))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12988, 4691])).
% 6.66/4.85 tff(12990,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB103) <=> (v116(constB103) | v123(constB103)))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(12991,plain,
% 6.66/4.85 (v115(constB103) <=> (v116(constB103) | v123(constB103))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12990, 4700])).
% 6.66/4.85 tff(12992,plain,
% 6.66/4.85 ((v116(constB103) | v123(constB103)) | (~v123(constB103))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(12993,plain,
% 6.66/4.85 (v116(constB103) | v123(constB103)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12992, 12934])).
% 6.66/4.85 tff(12994,plain,
% 6.66/4.85 ((~(v115(constB103) <=> (v116(constB103) | v123(constB103)))) | v115(constB103) | (~(v116(constB103) | v123(constB103)))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(12995,plain,
% 6.66/4.85 (v115(constB103)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12994, 12993, 12991])).
% 6.66/4.85 tff(12996,plain,
% 6.66/4.85 ((v115(constB103) | v124(constB103)) | (~v115(constB103))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(12997,plain,
% 6.66/4.85 (v115(constB103) | v124(constB103)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12996, 12995])).
% 6.66/4.85 tff(12998,plain,
% 6.66/4.85 ((~(v114(constB103) <=> (v115(constB103) | v124(constB103)))) | v114(constB103) | (~(v115(constB103) | v124(constB103)))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(12999,plain,
% 6.66/4.85 (v114(constB103)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[12998, 12997, 12989])).
% 6.66/4.85 tff(13000,plain,
% 6.66/4.85 ((v114(constB103) | v125(constB103)) | (~v114(constB103))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13001,plain,
% 6.66/4.85 (v114(constB103) | v125(constB103)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13000, 12999])).
% 6.66/4.85 tff(13002,plain,
% 6.66/4.85 ((~(v113(constB103) <=> (v114(constB103) | v125(constB103)))) | v113(constB103) | (~(v114(constB103) | v125(constB103)))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13003,plain,
% 6.66/4.85 (v113(constB103)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13002, 13001, 12987])).
% 6.66/4.85 tff(13004,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB103)) <=> v111(constB103))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(13005,plain,
% 6.66/4.85 ((~v126(constB103)) <=> v111(constB103)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13004, 4761])).
% 6.66/4.85 tff(13006,plain,
% 6.66/4.85 ((~((~v126(constB103)) <=> v111(constB103))) | v126(constB103) | v111(constB103)),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13007,plain,
% 6.66/4.85 ((~((~v126(constB103)) <=> v111(constB103))) | v126(constB103)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13006, 1224])).
% 6.66/4.85 tff(13008,plain,
% 6.66/4.85 (v126(constB103)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13007, 13005])).
% 6.66/4.85 tff(13009,plain,
% 6.66/4.85 ((~((~v113(constB103)) | (~v126(constB103)))) | (~v113(constB103)) | (~v126(constB103))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13010,plain,
% 6.66/4.85 ((~((~v113(constB103)) | (~v126(constB103)))) | (~v113(constB103))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13009, 13008])).
% 6.66/4.85 tff(13011,plain,
% 6.66/4.85 (~((~v113(constB103)) | (~v126(constB103)))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13010, 13003])).
% 6.66/4.85 tff(13012,plain,
% 6.66/4.85 ((~(v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103)))))) | v112(constB103) | ((~v113(constB103)) | (~v126(constB103)))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13013,plain,
% 6.66/4.85 (v112(constB103)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13012, 13011, 12985])).
% 6.66/4.85 tff(13014,plain,
% 6.66/4.85 ((v111(constB103) | v112(constB103)) | (~v112(constB103))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13015,plain,
% 6.66/4.85 (v111(constB103) | v112(constB103)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13014, 13013])).
% 6.66/4.85 tff(13016,plain,
% 6.66/4.85 ((~(v108(constB103) <=> (v111(constB103) | v112(constB103)))) | v108(constB103) | (~(v111(constB103) | v112(constB103)))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13017,plain,
% 6.66/4.85 (v108(constB103)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13016, 13015, 12983])).
% 6.66/4.85 tff(13018,plain,
% 6.66/4.85 ((~(v110(constB104) <=> v108(constB103))) | v110(constB104) | (~v108(constB103))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13019,plain,
% 6.66/4.85 (v110(constB104)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13018, 13017, 12981])).
% 6.66/4.85 tff(13020,plain,
% 6.66/4.85 ((~((~v101(constB104)) | (~v110(constB104)))) | (~v101(constB104)) | (~v110(constB104))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13021,plain,
% 6.66/4.85 (~((~v101(constB104)) | (~v110(constB104)))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13020, 13019, 12977])).
% 6.66/4.85 tff(13022,plain,
% 6.66/4.85 ((~(v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104)))))) | v100(constB104) | ((~v101(constB104)) | (~v110(constB104)))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13023,plain,
% 6.66/4.85 (v100(constB104)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13022, 13021, 12949])).
% 6.66/4.85 tff(13024,plain,
% 6.66/4.85 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB104)) | (~(((~v90(constB104, 2)) <=> v129(constB104, 2)) | ((~v90(constB104, 1)) <=> v129(constB104, 1)) | ((~v90(constB104, 0)) <=> v129(constB104, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB104)) | (~(((~v90(constB104, 2)) <=> v129(constB104, 2)) | ((~v90(constB104, 1)) <=> v129(constB104, 1)) | ((~v90(constB104, 0)) <=> v129(constB104, 0)))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(13025,plain,
% 6.66/4.85 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB104)) | (~(((~v90(constB104, 2)) <=> v129(constB104, 2)) | ((~v90(constB104, 1)) <=> v129(constB104, 1)) | ((~v90(constB104, 0)) <=> v129(constB104, 0)))))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(13026,plain,
% 6.66/4.85 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB104)) | (~(((~v90(constB104, 2)) <=> v129(constB104, 2)) | ((~v90(constB104, 1)) <=> v129(constB104, 1)) | ((~v90(constB104, 0)) <=> v129(constB104, 0))))),
% 6.66/4.85 inference(modus_ponens,[status(thm)],[13025, 13024])).
% 6.66/4.85 tff(13027,plain,
% 6.66/4.85 ((~v100(constB104)) | (~(((~v90(constB104, 2)) <=> v129(constB104, 2)) | ((~v90(constB104, 1)) <=> v129(constB104, 1)) | ((~v90(constB104, 0)) <=> v129(constB104, 0))))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13026, 4794])).
% 6.66/4.85 tff(13028,plain,
% 6.66/4.85 (~(((~v90(constB104, 2)) <=> v129(constB104, 2)) | ((~v90(constB104, 1)) <=> v129(constB104, 1)) | ((~v90(constB104, 0)) <=> v129(constB104, 0)))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13027, 13023])).
% 6.66/4.85 tff(13029,plain,
% 6.66/4.85 ((((~v90(constB104, 2)) <=> v129(constB104, 2)) | ((~v90(constB104, 1)) <=> v129(constB104, 1)) | ((~v90(constB104, 0)) <=> v129(constB104, 0))) | (~((~v90(constB104, 2)) <=> v129(constB104, 2)))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13030,plain,
% 6.66/4.85 (~((~v90(constB104, 2)) <=> v129(constB104, 2))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13029, 13028])).
% 6.66/4.85 tff(13031,plain,
% 6.66/4.85 (((~v90(constB104, 2)) <=> v129(constB104, 2)) | v90(constB104, 2) | (~v129(constB104, 2))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13032,plain,
% 6.66/4.85 (v90(constB104, 2)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13031, 13030, 12945])).
% 6.66/4.85 tff(13033,plain,
% 6.66/4.85 (((~v90(constB105, 2)) <=> v90(constB104, 2)) | v90(constB105, 2) | (~v90(constB104, 2))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13034,plain,
% 6.66/4.85 (v90(constB105, 2)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13033, 13032, 1208])).
% 6.66/4.85 tff(13035,plain,
% 6.66/4.85 ((v90(constB105, 0) | v90(constB105, 1) | v90(constB105, 2)) | (~v90(constB105, 2))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13036,plain,
% 6.66/4.85 (v90(constB105, 0) | v90(constB105, 1) | v90(constB105, 2)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13035, 13034])).
% 6.66/4.85 tff(13037,plain,
% 6.66/4.85 ((~(v119(constB105) <=> (~(v90(constB105, 0) | v90(constB105, 1) | v90(constB105, 2))))) | (~v119(constB105)) | (~(v90(constB105, 0) | v90(constB105, 1) | v90(constB105, 2)))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13038,plain,
% 6.66/4.85 (~v119(constB105)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13037, 13036, 1172])).
% 6.66/4.85 tff(13039,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB105) <=> (~(v90(constB105, 1) | (~v90(constB105, 2)) | (~v90(constB105, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB105) <=> (~(v90(constB105, 1) | (~v90(constB105, 2)) | (~v90(constB105, 0))))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(13040,plain,
% 6.66/4.85 ((v124(constB105) <=> (~(v90(constB105, 1) | (~v90(constB105, 0)) | (~v90(constB105, 2))))) <=> (v124(constB105) <=> (~(v90(constB105, 1) | (~v90(constB105, 2)) | (~v90(constB105, 0)))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(13041,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB105) <=> (~(v90(constB105, 1) | (~v90(constB105, 0)) | (~v90(constB105, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB105) <=> (~(v90(constB105, 1) | (~v90(constB105, 2)) | (~v90(constB105, 0))))))),
% 6.66/4.85 inference(monotonicity,[status(thm)],[13040])).
% 6.66/4.85 tff(13042,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB105) <=> (~(v90(constB105, 1) | (~v90(constB105, 0)) | (~v90(constB105, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB105) <=> (~(v90(constB105, 1) | (~v90(constB105, 2)) | (~v90(constB105, 0))))))),
% 6.66/4.85 inference(transitivity,[status(thm)],[13041, 13039])).
% 6.66/4.85 tff(13043,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB105) <=> (~(v90(constB105, 1) | (~v90(constB105, 0)) | (~v90(constB105, 2)))))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(13044,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB105) <=> (~(v90(constB105, 1) | (~v90(constB105, 2)) | (~v90(constB105, 0)))))),
% 6.66/4.85 inference(modus_ponens,[status(thm)],[13043, 13042])).
% 6.66/4.85 tff(13045,plain,
% 6.66/4.85 (v124(constB105) <=> (~(v90(constB105, 1) | (~v90(constB105, 2)) | (~v90(constB105, 0))))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13044, 4978])).
% 6.66/4.85 tff(13046,plain,
% 6.66/4.85 ((((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 0)) <=> v90(constB104, 0))) | (~((~v90(constB105, 1)) <=> v90(constB104, 1)))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13047,plain,
% 6.66/4.85 (~((~v90(constB105, 1)) <=> v90(constB104, 1))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13046, 1206])).
% 6.66/4.85 tff(13048,plain,
% 6.66/4.85 ((((~v129(constB104, 2)) <=> v127(constB103, 2)) | ((~v129(constB104, 1)) <=> v127(constB103, 1)) | ((~v129(constB104, 0)) <=> v127(constB103, 0))) | (~((~v129(constB104, 1)) <=> v127(constB103, 1)))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13049,plain,
% 6.66/4.85 (~((~v129(constB104, 1)) <=> v127(constB103, 1))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13048, 1215])).
% 6.66/4.85 tff(13050,plain,
% 6.66/4.85 ((((~v127(constB103, 2)) <=> v130(constB103, 2)) | ((~v127(constB103, 1)) <=> v130(constB103, 1)) | ((~v127(constB103, 0)) <=> v130(constB103, 0))) | (~((~v127(constB103, 1)) <=> v130(constB103, 1)))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13051,plain,
% 6.66/4.85 (~((~v127(constB103, 1)) <=> v130(constB103, 1))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13050, 1229])).
% 6.66/4.85 tff(13052,plain,
% 6.66/4.85 ((v130(constB103, 0) | (~v130(constB103, 2)) | (~v130(constB103, 1))) | v130(constB103, 1)),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13053,plain,
% 6.66/4.85 (v130(constB103, 1)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13052, 12939])).
% 6.66/4.85 tff(13054,plain,
% 6.66/4.85 (((~v127(constB103, 1)) <=> v130(constB103, 1)) | v127(constB103, 1) | (~v130(constB103, 1))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13055,plain,
% 6.66/4.85 (v127(constB103, 1)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13054, 13053, 13051])).
% 6.66/4.85 tff(13056,plain,
% 6.66/4.85 (((~v129(constB104, 1)) <=> v127(constB103, 1)) | v129(constB104, 1) | (~v127(constB103, 1))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13057,plain,
% 6.66/4.85 (v129(constB104, 1)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13056, 13055, 13049])).
% 6.66/4.85 tff(13058,plain,
% 6.66/4.85 ((((~v90(constB104, 2)) <=> v129(constB104, 2)) | ((~v90(constB104, 1)) <=> v129(constB104, 1)) | ((~v90(constB104, 0)) <=> v129(constB104, 0))) | (~((~v90(constB104, 1)) <=> v129(constB104, 1)))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13059,plain,
% 6.66/4.85 (~((~v90(constB104, 1)) <=> v129(constB104, 1))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13058, 13028])).
% 6.66/4.85 tff(13060,plain,
% 6.66/4.85 (((~v90(constB104, 1)) <=> v129(constB104, 1)) | v90(constB104, 1) | (~v129(constB104, 1))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13061,plain,
% 6.66/4.85 (v90(constB104, 1)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13060, 13059, 13057])).
% 6.66/4.85 tff(13062,plain,
% 6.66/4.85 (((~v90(constB105, 1)) <=> v90(constB104, 1)) | v90(constB105, 1) | (~v90(constB104, 1))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13063,plain,
% 6.66/4.85 (v90(constB105, 1)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13062, 13061, 13047])).
% 6.66/4.85 tff(13064,plain,
% 6.66/4.85 ((v90(constB105, 1) | (~v90(constB105, 2)) | (~v90(constB105, 0))) | (~v90(constB105, 1))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13065,plain,
% 6.66/4.85 (v90(constB105, 1) | (~v90(constB105, 2)) | (~v90(constB105, 0))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13064, 13063])).
% 6.66/4.85 tff(13066,plain,
% 6.66/4.85 ((~(v124(constB105) <=> (~(v90(constB105, 1) | (~v90(constB105, 2)) | (~v90(constB105, 0)))))) | (~v124(constB105)) | (~(v90(constB105, 1) | (~v90(constB105, 2)) | (~v90(constB105, 0))))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13067,plain,
% 6.66/4.85 (~v124(constB105)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13066, 13065, 13045])).
% 6.66/4.85 tff(13068,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB105) <=> (~(v90(constB105, 1) | v90(constB105, 0) | (~v90(constB105, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB105) <=> (~(v90(constB105, 1) | v90(constB105, 0) | (~v90(constB105, 2))))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(13069,plain,
% 6.66/4.85 ((v123(constB105) <=> (~(v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2))))) <=> (v123(constB105) <=> (~(v90(constB105, 1) | v90(constB105, 0) | (~v90(constB105, 2)))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(13070,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB105) <=> (~(v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB105) <=> (~(v90(constB105, 1) | v90(constB105, 0) | (~v90(constB105, 2))))))),
% 6.66/4.85 inference(monotonicity,[status(thm)],[13069])).
% 6.66/4.85 tff(13071,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB105) <=> (~(v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB105) <=> (~(v90(constB105, 1) | v90(constB105, 0) | (~v90(constB105, 2))))))),
% 6.66/4.85 inference(transitivity,[status(thm)],[13070, 13068])).
% 6.66/4.85 tff(13072,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB105) <=> (~(v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)))))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(13073,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB105) <=> (~(v90(constB105, 1) | v90(constB105, 0) | (~v90(constB105, 2)))))),
% 6.66/4.85 inference(modus_ponens,[status(thm)],[13072, 13071])).
% 6.66/4.85 tff(13074,plain,
% 6.66/4.85 (v123(constB105) <=> (~(v90(constB105, 1) | v90(constB105, 0) | (~v90(constB105, 2))))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13073, 565])).
% 6.66/4.85 tff(13075,plain,
% 6.66/4.85 ((v90(constB105, 1) | v90(constB105, 0) | (~v90(constB105, 2))) | (~v90(constB105, 1))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13076,plain,
% 6.66/4.85 (v90(constB105, 1) | v90(constB105, 0) | (~v90(constB105, 2))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13075, 13063])).
% 6.66/4.85 tff(13077,plain,
% 6.66/4.85 ((~(v123(constB105) <=> (~(v90(constB105, 1) | v90(constB105, 0) | (~v90(constB105, 2)))))) | (~v123(constB105)) | (~(v90(constB105, 1) | v90(constB105, 0) | (~v90(constB105, 2))))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13078,plain,
% 6.66/4.85 (~v123(constB105)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13077, 13076, 13074])).
% 6.66/4.85 tff(13079,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB105) <=> (~(v90(constB105, 2) | (~v90(constB105, 1)) | (~v90(constB105, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB105) <=> (~(v90(constB105, 2) | (~v90(constB105, 1)) | (~v90(constB105, 0))))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(13080,plain,
% 6.66/4.85 ((v122(constB105) <=> (~(v90(constB105, 2) | (~v90(constB105, 0)) | (~v90(constB105, 1))))) <=> (v122(constB105) <=> (~(v90(constB105, 2) | (~v90(constB105, 1)) | (~v90(constB105, 0)))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(13081,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB105) <=> (~(v90(constB105, 2) | (~v90(constB105, 0)) | (~v90(constB105, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB105) <=> (~(v90(constB105, 2) | (~v90(constB105, 1)) | (~v90(constB105, 0))))))),
% 6.66/4.85 inference(monotonicity,[status(thm)],[13080])).
% 6.66/4.85 tff(13082,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB105) <=> (~(v90(constB105, 2) | (~v90(constB105, 0)) | (~v90(constB105, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB105) <=> (~(v90(constB105, 2) | (~v90(constB105, 1)) | (~v90(constB105, 0))))))),
% 6.66/4.85 inference(transitivity,[status(thm)],[13081, 13079])).
% 6.66/4.85 tff(13083,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB105) <=> (~(v90(constB105, 2) | (~v90(constB105, 0)) | (~v90(constB105, 1)))))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(13084,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB105) <=> (~(v90(constB105, 2) | (~v90(constB105, 1)) | (~v90(constB105, 0)))))),
% 6.66/4.85 inference(modus_ponens,[status(thm)],[13083, 13082])).
% 6.66/4.85 tff(13085,plain,
% 6.66/4.85 (v122(constB105) <=> (~(v90(constB105, 2) | (~v90(constB105, 1)) | (~v90(constB105, 0))))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13084, 644])).
% 6.66/4.85 tff(13086,plain,
% 6.66/4.85 ((v90(constB105, 2) | (~v90(constB105, 1)) | (~v90(constB105, 0))) | (~v90(constB105, 2))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13087,plain,
% 6.66/4.85 (v90(constB105, 2) | (~v90(constB105, 1)) | (~v90(constB105, 0))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13086, 13034])).
% 6.66/4.85 tff(13088,plain,
% 6.66/4.85 ((~(v122(constB105) <=> (~(v90(constB105, 2) | (~v90(constB105, 1)) | (~v90(constB105, 0)))))) | (~v122(constB105)) | (~(v90(constB105, 2) | (~v90(constB105, 1)) | (~v90(constB105, 0))))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13089,plain,
% 6.66/4.85 (~v122(constB105)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13088, 13087, 13085])).
% 6.66/4.85 tff(13090,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB105) <=> (~(v90(constB105, 2) | v90(constB105, 0) | (~v90(constB105, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB105) <=> (~(v90(constB105, 2) | v90(constB105, 0) | (~v90(constB105, 1))))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(13091,plain,
% 6.66/4.85 ((v121(constB105) <=> (~(v90(constB105, 0) | v90(constB105, 2) | (~v90(constB105, 1))))) <=> (v121(constB105) <=> (~(v90(constB105, 2) | v90(constB105, 0) | (~v90(constB105, 1)))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(13092,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB105) <=> (~(v90(constB105, 0) | v90(constB105, 2) | (~v90(constB105, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB105) <=> (~(v90(constB105, 2) | v90(constB105, 0) | (~v90(constB105, 1))))))),
% 6.66/4.85 inference(monotonicity,[status(thm)],[13091])).
% 6.66/4.85 tff(13093,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB105) <=> (~(v90(constB105, 0) | v90(constB105, 2) | (~v90(constB105, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB105) <=> (~(v90(constB105, 2) | v90(constB105, 0) | (~v90(constB105, 1))))))),
% 6.66/4.85 inference(transitivity,[status(thm)],[13092, 13090])).
% 6.66/4.85 tff(13094,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB105) <=> (~(v90(constB105, 0) | v90(constB105, 2) | (~v90(constB105, 1)))))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(13095,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB105) <=> (~(v90(constB105, 2) | v90(constB105, 0) | (~v90(constB105, 1)))))),
% 6.66/4.85 inference(modus_ponens,[status(thm)],[13094, 13093])).
% 6.66/4.85 tff(13096,plain,
% 6.66/4.85 (v121(constB105) <=> (~(v90(constB105, 2) | v90(constB105, 0) | (~v90(constB105, 1))))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13095, 723])).
% 6.66/4.85 tff(13097,plain,
% 6.66/4.85 ((v90(constB105, 2) | v90(constB105, 0) | (~v90(constB105, 1))) | (~v90(constB105, 2))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13098,plain,
% 6.66/4.85 (v90(constB105, 2) | v90(constB105, 0) | (~v90(constB105, 1))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13097, 13034])).
% 6.66/4.85 tff(13099,plain,
% 6.66/4.85 ((~(v121(constB105) <=> (~(v90(constB105, 2) | v90(constB105, 0) | (~v90(constB105, 1)))))) | (~v121(constB105)) | (~(v90(constB105, 2) | v90(constB105, 0) | (~v90(constB105, 1))))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13100,plain,
% 6.66/4.85 (~v121(constB105)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13099, 13098, 13096])).
% 6.66/4.85 tff(13101,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB105) <=> (~(v90(constB105, 1) | v90(constB105, 2) | (~v90(constB105, 0)))))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(13102,plain,
% 6.66/4.85 (v120(constB105) <=> (~(v90(constB105, 1) | v90(constB105, 2) | (~v90(constB105, 0))))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13101, 417])).
% 6.66/4.85 tff(13103,plain,
% 6.66/4.85 ((v90(constB105, 1) | v90(constB105, 2) | (~v90(constB105, 0))) | (~v90(constB105, 2))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13104,plain,
% 6.66/4.85 (v90(constB105, 1) | v90(constB105, 2) | (~v90(constB105, 0))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13103, 13034])).
% 6.66/4.85 tff(13105,plain,
% 6.66/4.85 ((~(v120(constB105) <=> (~(v90(constB105, 1) | v90(constB105, 2) | (~v90(constB105, 0)))))) | (~v120(constB105)) | (~(v90(constB105, 1) | v90(constB105, 2) | (~v90(constB105, 0))))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13106,plain,
% 6.66/4.85 (~v120(constB105)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13105, 13104, 13102])).
% 6.66/4.85 tff(13107,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0)))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(13108,plain,
% 6.66/4.85 ((v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~(v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0))))) <=> (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0)))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(13109,plain,
% 6.66/4.85 ((~(v130(constB105, 1) | v130(constB105, 2) | (~v130(constB105, 0)))) <=> (~(v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0))))),
% 6.66/4.85 inference(rewrite,[status(thm)],[])).
% 6.66/4.85 tff(13110,plain,
% 6.66/4.85 ((v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~(v130(constB105, 1) | v130(constB105, 2) | (~v130(constB105, 0))))) <=> (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~(v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0)))))),
% 6.66/4.85 inference(monotonicity,[status(thm)],[13109])).
% 6.66/4.85 tff(13111,plain,
% 6.66/4.85 ((v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~(v130(constB105, 1) | v130(constB105, 2) | (~v130(constB105, 0))))) <=> (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0)))))),
% 6.66/4.85 inference(transitivity,[status(thm)],[13110, 13108])).
% 6.66/4.85 tff(13112,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~(v130(constB105, 1) | v130(constB105, 2) | (~v130(constB105, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0))))))),
% 6.66/4.85 inference(monotonicity,[status(thm)],[13111])).
% 6.66/4.85 tff(13113,plain,
% 6.66/4.85 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~(v130(constB105, 1) | v130(constB105, 2) | (~v130(constB105, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0)))))),
% 6.66/4.85 inference(transitivity,[status(thm)],[13112, 13107])).
% 6.66/4.85 tff(13114,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~(v130(constB105, 1) | v130(constB105, 2) | (~v130(constB105, 0)))))),
% 6.66/4.85 inference(quant_inst,[status(thm)],[])).
% 6.66/4.85 tff(13115,plain,
% 6.66/4.85 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0))))),
% 6.66/4.85 inference(modus_ponens,[status(thm)],[13114, 13113])).
% 6.66/4.85 tff(13116,plain,
% 6.66/4.85 (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0))))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13115, 5059])).
% 6.66/4.85 tff(13117,plain,
% 6.66/4.85 (~(v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0)))),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13116, 13106, 13100, 13089, 13078, 13067, 13038])).
% 6.66/4.85 tff(13118,plain,
% 6.66/4.85 ((v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0))) | (~v130(constB105, 2))),
% 6.66/4.85 inference(tautology,[status(thm)],[])).
% 6.66/4.85 tff(13119,plain,
% 6.66/4.85 (~v130(constB105, 2)),
% 6.66/4.85 inference(unit_resolution,[status(thm)],[13118, 13117])).
% 6.66/4.85 tff(13120,plain,
% 6.66/4.85 (((~v127(constB105, 2)) <=> v130(constB105, 2)) | (~v127(constB105, 2)) | v130(constB105, 2)),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13121,plain,
% 6.66/4.86 (~v127(constB105, 2)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13120, 13119, 1170])).
% 6.66/4.86 tff(13122,plain,
% 6.66/4.86 (((~v129(constB106, 2)) <=> v127(constB105, 2)) | (~v129(constB106, 2)) | v127(constB105, 2)),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13123,plain,
% 6.66/4.86 (~v129(constB106, 2)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13122, 13121, 1156])).
% 6.66/4.86 tff(13124,plain,
% 6.66/4.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))))),
% 6.66/4.86 inference(rewrite,[status(thm)],[])).
% 6.66/4.86 tff(13125,plain,
% 6.66/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))))),
% 6.66/4.86 inference(quant_inst,[status(thm)],[])).
% 6.66/4.86 tff(13126,plain,
% 6.66/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106)))))),
% 6.66/4.86 inference(modus_ponens,[status(thm)],[13125, 13124])).
% 6.66/4.86 tff(13127,plain,
% 6.66/4.86 (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13126, 1150, 273])).
% 6.66/4.86 tff(13128,plain,
% 6.66/4.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))),
% 6.66/4.86 inference(rewrite,[status(thm)],[])).
% 6.66/4.86 tff(13129,plain,
% 6.66/4.86 (((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106)))))) <=> ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))),
% 6.66/4.86 inference(rewrite,[status(thm)],[])).
% 6.66/4.86 tff(13130,plain,
% 6.66/4.86 (((~![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) <=> (~((~v1(constB106)) | (~v102(constB106)))))))),
% 6.66/4.86 inference(monotonicity,[status(thm)],[13129])).
% 6.66/4.86 tff(13131,plain,
% 6.66/4.86 (((~![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) <=> (~((~v1(constB106)) | (~v102(constB106))))))),
% 6.66/4.86 inference(transitivity,[status(thm)],[13130, 13128])).
% 6.66/4.86 tff(13132,plain,
% 6.66/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106))))))),
% 6.66/4.86 inference(quant_inst,[status(thm)],[])).
% 6.66/4.86 tff(13133,plain,
% 6.66/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106)))))),
% 6.66/4.86 inference(modus_ponens,[status(thm)],[13132, 13131])).
% 6.66/4.86 tff(13134,plain,
% 6.66/4.86 (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13133, 1150, 293])).
% 6.66/4.86 tff(13135,plain,
% 6.66/4.86 (((~![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)))),
% 6.66/4.86 inference(rewrite,[status(thm)],[])).
% 6.66/4.86 tff(13136,plain,
% 6.66/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106)))),
% 6.66/4.86 inference(quant_inst,[status(thm)],[])).
% 6.66/4.86 tff(13137,plain,
% 6.66/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106))),
% 6.66/4.86 inference(modus_ponens,[status(thm)],[13136, 13135])).
% 6.66/4.86 tff(13138,plain,
% 6.66/4.86 ((~v102(constB106)) <=> v104(constB106)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13137, 1150, 4609])).
% 6.66/4.86 tff(13139,plain,
% 6.66/4.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105)))),
% 6.66/4.86 inference(rewrite,[status(thm)],[])).
% 6.66/4.86 tff(13140,plain,
% 6.66/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105)))),
% 6.66/4.86 inference(quant_inst,[status(thm)],[])).
% 6.66/4.86 tff(13141,plain,
% 6.66/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105))),
% 6.66/4.86 inference(modus_ponens,[status(thm)],[13140, 13139])).
% 6.66/4.86 tff(13142,plain,
% 6.66/4.86 (v104(constB106) <=> v1(constB105)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13141, 1150, 4623])).
% 6.66/4.86 tff(13143,plain,
% 6.66/4.86 ((~(v104(constB106) <=> v1(constB105))) | (~v104(constB106)) | v1(constB105)),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13144,plain,
% 6.66/4.86 ((~(v104(constB106) <=> v1(constB105))) | (~v104(constB106))),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13143, 1189])).
% 6.66/4.86 tff(13145,plain,
% 6.66/4.86 (~v104(constB106)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13144, 13142])).
% 6.66/4.86 tff(13146,plain,
% 6.66/4.86 ((~((~v102(constB106)) <=> v104(constB106))) | v102(constB106) | v104(constB106)),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13147,plain,
% 6.66/4.86 (v102(constB106)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13146, 13145, 13138])).
% 6.66/4.86 tff(13148,plain,
% 6.66/4.86 (v1(constB106) <=> v1(constB106)),
% 6.66/4.86 inference(rewrite,[status(thm)],[])).
% 6.66/4.86 tff(13149,axiom,(v1(constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_106')).
% 6.66/4.86 tff(13150,plain,
% 6.66/4.86 (v1(constB106)),
% 6.66/4.86 inference(modus_ponens,[status(thm)],[13149, 13148])).
% 6.66/4.86 tff(13151,plain,
% 6.66/4.86 ((~((~v1(constB106)) | (~v102(constB106)))) | (~v1(constB106)) | (~v102(constB106))),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13152,plain,
% 6.66/4.86 ((~((~v1(constB106)) | (~v102(constB106)))) | (~v102(constB106))),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13151, 13150])).
% 6.66/4.86 tff(13153,plain,
% 6.66/4.86 (~((~v1(constB106)) | (~v102(constB106)))),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13152, 13147])).
% 6.66/4.86 tff(13154,plain,
% 6.66/4.86 ((~(v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106)))))) | v101(constB106) | ((~v1(constB106)) | (~v102(constB106)))),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13155,plain,
% 6.66/4.86 (v101(constB106)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13154, 13153, 13134])).
% 6.66/4.86 tff(13156,plain,
% 6.66/4.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105)))),
% 6.66/4.86 inference(rewrite,[status(thm)],[])).
% 6.66/4.86 tff(13157,plain,
% 6.66/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105)))),
% 6.66/4.86 inference(quant_inst,[status(thm)],[])).
% 6.66/4.86 tff(13158,plain,
% 6.66/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105))),
% 6.66/4.86 inference(modus_ponens,[status(thm)],[13157, 13156])).
% 6.66/4.86 tff(13159,plain,
% 6.66/4.86 (v110(constB106) <=> v108(constB105)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13158, 1150, 4650])).
% 6.66/4.86 tff(13160,plain,
% 6.66/4.86 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB105) <=> (v111(constB105) | v112(constB105)))),
% 6.66/4.86 inference(quant_inst,[status(thm)],[])).
% 6.66/4.86 tff(13161,plain,
% 6.66/4.86 (v108(constB105) <=> (v111(constB105) | v112(constB105))),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13160, 4661])).
% 6.66/4.86 tff(13162,plain,
% 6.66/4.86 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105)))))),
% 6.66/4.86 inference(quant_inst,[status(thm)],[])).
% 6.66/4.86 tff(13163,plain,
% 6.66/4.86 (v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105))))),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13162, 4673])).
% 6.66/4.86 tff(13164,plain,
% 6.66/4.86 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB105) <=> (v114(constB105) | v125(constB105)))),
% 6.66/4.86 inference(quant_inst,[status(thm)],[])).
% 6.66/4.86 tff(13165,plain,
% 6.66/4.86 (v113(constB105) <=> (v114(constB105) | v125(constB105))),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13164, 4682])).
% 6.66/4.86 tff(13166,plain,
% 6.66/4.86 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB105) <=> (~(v90(constB105, 0) | (~v90(constB105, 1)) | (~v90(constB105, 2)))))),
% 6.66/4.86 inference(quant_inst,[status(thm)],[])).
% 6.66/4.86 tff(13167,plain,
% 6.66/4.86 (v125(constB105) <=> (~(v90(constB105, 0) | (~v90(constB105, 1)) | (~v90(constB105, 2))))),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13166, 5131])).
% 6.66/4.86 tff(13168,plain,
% 6.66/4.86 ((((~v90(constB105, 1)) <=> v90(constB104, 1)) | ((~v90(constB105, 2)) <=> v90(constB104, 2)) | ((~v90(constB105, 0)) <=> v90(constB104, 0))) | (~((~v90(constB105, 0)) <=> v90(constB104, 0)))),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13169,plain,
% 6.66/4.86 (~((~v90(constB105, 0)) <=> v90(constB104, 0))),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13168, 1206])).
% 6.66/4.86 tff(13170,plain,
% 6.66/4.86 ((((~v129(constB104, 2)) <=> v127(constB103, 2)) | ((~v129(constB104, 1)) <=> v127(constB103, 1)) | ((~v129(constB104, 0)) <=> v127(constB103, 0))) | (~((~v129(constB104, 0)) <=> v127(constB103, 0)))),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13171,plain,
% 6.66/4.86 (~((~v129(constB104, 0)) <=> v127(constB103, 0))),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13170, 1215])).
% 6.66/4.86 tff(13172,plain,
% 6.66/4.86 ((((~v127(constB103, 2)) <=> v130(constB103, 2)) | ((~v127(constB103, 1)) <=> v130(constB103, 1)) | ((~v127(constB103, 0)) <=> v130(constB103, 0))) | (~((~v127(constB103, 0)) <=> v130(constB103, 0)))),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13173,plain,
% 6.66/4.86 (~((~v127(constB103, 0)) <=> v130(constB103, 0))),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13172, 1229])).
% 6.66/4.86 tff(13174,plain,
% 6.66/4.86 ((v130(constB103, 0) | (~v130(constB103, 2)) | (~v130(constB103, 1))) | (~v130(constB103, 0))),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13175,plain,
% 6.66/4.86 (~v130(constB103, 0)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13174, 12939])).
% 6.66/4.86 tff(13176,plain,
% 6.66/4.86 (((~v127(constB103, 0)) <=> v130(constB103, 0)) | (~v127(constB103, 0)) | v130(constB103, 0)),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13177,plain,
% 6.66/4.86 (~v127(constB103, 0)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13176, 13175, 13173])).
% 6.66/4.86 tff(13178,plain,
% 6.66/4.86 (((~v129(constB104, 0)) <=> v127(constB103, 0)) | (~v129(constB104, 0)) | v127(constB103, 0)),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13179,plain,
% 6.66/4.86 (~v129(constB104, 0)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13178, 13177, 13171])).
% 6.66/4.86 tff(13180,plain,
% 6.66/4.86 ((((~v90(constB104, 2)) <=> v129(constB104, 2)) | ((~v90(constB104, 1)) <=> v129(constB104, 1)) | ((~v90(constB104, 0)) <=> v129(constB104, 0))) | (~((~v90(constB104, 0)) <=> v129(constB104, 0)))),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13181,plain,
% 6.66/4.86 (~((~v90(constB104, 0)) <=> v129(constB104, 0))),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13180, 13028])).
% 6.66/4.86 tff(13182,plain,
% 6.66/4.86 (((~v90(constB104, 0)) <=> v129(constB104, 0)) | (~v90(constB104, 0)) | v129(constB104, 0)),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13183,plain,
% 6.66/4.86 (~v90(constB104, 0)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13182, 13181, 13179])).
% 6.66/4.86 tff(13184,plain,
% 6.66/4.86 (((~v90(constB105, 0)) <=> v90(constB104, 0)) | (~v90(constB105, 0)) | v90(constB104, 0)),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13185,plain,
% 6.66/4.86 (~v90(constB105, 0)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13184, 13183, 13169])).
% 6.66/4.86 tff(13186,plain,
% 6.66/4.86 ((~(v90(constB105, 0) | (~v90(constB105, 1)) | (~v90(constB105, 2)))) | v90(constB105, 0) | (~v90(constB105, 1)) | (~v90(constB105, 2))),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13187,plain,
% 6.66/4.86 (~(v90(constB105, 0) | (~v90(constB105, 1)) | (~v90(constB105, 2)))),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13186, 13063, 13185, 13034])).
% 6.66/4.86 tff(13188,plain,
% 6.66/4.86 ((~(v125(constB105) <=> (~(v90(constB105, 0) | (~v90(constB105, 1)) | (~v90(constB105, 2)))))) | v125(constB105) | (v90(constB105, 0) | (~v90(constB105, 1)) | (~v90(constB105, 2)))),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13189,plain,
% 6.66/4.86 (v125(constB105)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13188, 13187, 13167])).
% 6.66/4.86 tff(13190,plain,
% 6.66/4.86 ((v114(constB105) | v125(constB105)) | (~v125(constB105))),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13191,plain,
% 6.66/4.86 (v114(constB105) | v125(constB105)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13190, 13189])).
% 6.66/4.86 tff(13192,plain,
% 6.66/4.86 ((~(v113(constB105) <=> (v114(constB105) | v125(constB105)))) | v113(constB105) | (~(v114(constB105) | v125(constB105)))),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13193,plain,
% 6.66/4.86 (v113(constB105)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13192, 13191, 13165])).
% 6.66/4.86 tff(13194,plain,
% 6.66/4.86 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB105)) <=> v111(constB105))),
% 6.66/4.86 inference(quant_inst,[status(thm)],[])).
% 6.66/4.86 tff(13195,plain,
% 6.66/4.86 ((~v126(constB105)) <=> v111(constB105)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13194, 4761])).
% 6.66/4.86 tff(13196,plain,
% 6.66/4.86 ((~((~v126(constB105)) <=> v111(constB105))) | v126(constB105) | v111(constB105)),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.66/4.86 tff(13197,plain,
% 6.66/4.86 ((~((~v126(constB105)) <=> v111(constB105))) | v126(constB105)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13196, 1163])).
% 6.66/4.86 tff(13198,plain,
% 6.66/4.86 (v126(constB105)),
% 6.66/4.86 inference(unit_resolution,[status(thm)],[13197, 13195])).
% 6.66/4.86 tff(13199,plain,
% 6.66/4.86 ((~((~v113(constB105)) | (~v126(constB105)))) | (~v113(constB105)) | (~v126(constB105))),
% 6.66/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13200,plain,
% 6.67/4.86 ((~((~v113(constB105)) | (~v126(constB105)))) | (~v113(constB105))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13199, 13198])).
% 6.67/4.86 tff(13201,plain,
% 6.67/4.86 (~((~v113(constB105)) | (~v126(constB105)))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13200, 13193])).
% 6.67/4.86 tff(13202,plain,
% 6.67/4.86 ((~(v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105)))))) | v112(constB105) | ((~v113(constB105)) | (~v126(constB105)))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13203,plain,
% 6.67/4.86 (v112(constB105)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13202, 13201, 13163])).
% 6.67/4.86 tff(13204,plain,
% 6.67/4.86 ((v111(constB105) | v112(constB105)) | (~v112(constB105))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13205,plain,
% 6.67/4.86 (v111(constB105) | v112(constB105)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13204, 13203])).
% 6.67/4.86 tff(13206,plain,
% 6.67/4.86 ((~(v108(constB105) <=> (v111(constB105) | v112(constB105)))) | v108(constB105) | (~(v111(constB105) | v112(constB105)))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13207,plain,
% 6.67/4.86 (v108(constB105)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13206, 13205, 13161])).
% 6.67/4.86 tff(13208,plain,
% 6.67/4.86 ((~(v110(constB106) <=> v108(constB105))) | v110(constB106) | (~v108(constB105))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13209,plain,
% 6.67/4.86 (v110(constB106)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13208, 13207, 13159])).
% 6.67/4.86 tff(13210,plain,
% 6.67/4.86 ((~((~v101(constB106)) | (~v110(constB106)))) | (~v101(constB106)) | (~v110(constB106))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13211,plain,
% 6.67/4.86 (~((~v101(constB106)) | (~v110(constB106)))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13210, 13209, 13155])).
% 6.67/4.86 tff(13212,plain,
% 6.67/4.86 ((~(v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106)))))) | v100(constB106) | ((~v101(constB106)) | (~v110(constB106)))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13213,plain,
% 6.67/4.86 (v100(constB106)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13212, 13211, 13127])).
% 6.67/4.86 tff(13214,plain,
% 6.67/4.86 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB106)) | (~(((~v90(constB106, 0)) <=> v129(constB106, 0)) | ((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB106)) | (~(((~v90(constB106, 0)) <=> v129(constB106, 0)) | ((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1)))))),
% 6.67/4.86 inference(rewrite,[status(thm)],[])).
% 6.67/4.86 tff(13215,plain,
% 6.67/4.86 (((~v100(constB106)) | (~(((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1)) | ((~v90(constB106, 0)) <=> v129(constB106, 0))))) <=> ((~v100(constB106)) | (~(((~v90(constB106, 0)) <=> v129(constB106, 0)) | ((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1)))))),
% 6.67/4.86 inference(rewrite,[status(thm)],[])).
% 6.67/4.86 tff(13216,plain,
% 6.67/4.86 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB106)) | (~(((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1)) | ((~v90(constB106, 0)) <=> v129(constB106, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB106)) | (~(((~v90(constB106, 0)) <=> v129(constB106, 0)) | ((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1))))))),
% 6.67/4.86 inference(monotonicity,[status(thm)],[13215])).
% 6.67/4.86 tff(13217,plain,
% 6.67/4.86 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB106)) | (~(((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1)) | ((~v90(constB106, 0)) <=> v129(constB106, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB106)) | (~(((~v90(constB106, 0)) <=> v129(constB106, 0)) | ((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1)))))),
% 6.67/4.86 inference(transitivity,[status(thm)],[13216, 13214])).
% 6.67/4.86 tff(13218,plain,
% 6.67/4.86 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB106)) | (~(((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1)) | ((~v90(constB106, 0)) <=> v129(constB106, 0)))))),
% 6.67/4.86 inference(quant_inst,[status(thm)],[])).
% 6.67/4.86 tff(13219,plain,
% 6.67/4.86 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB106)) | (~(((~v90(constB106, 0)) <=> v129(constB106, 0)) | ((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1))))),
% 6.67/4.86 inference(modus_ponens,[status(thm)],[13218, 13217])).
% 6.67/4.86 tff(13220,plain,
% 6.67/4.86 ((~v100(constB106)) | (~(((~v90(constB106, 0)) <=> v129(constB106, 0)) | ((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1))))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13219, 4794])).
% 6.67/4.86 tff(13221,plain,
% 6.67/4.86 (~(((~v90(constB106, 0)) <=> v129(constB106, 0)) | ((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1)))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13220, 13213])).
% 6.67/4.86 tff(13222,plain,
% 6.67/4.86 ((((~v90(constB106, 0)) <=> v129(constB106, 0)) | ((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1))) | (~((~v90(constB106, 2)) <=> v129(constB106, 2)))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13223,plain,
% 6.67/4.86 (~((~v90(constB106, 2)) <=> v129(constB106, 2))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13222, 13221])).
% 6.67/4.86 tff(13224,plain,
% 6.67/4.86 (((~v90(constB106, 2)) <=> v129(constB106, 2)) | (~v90(constB106, 2)) | v129(constB106, 2)),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13225,plain,
% 6.67/4.86 (~v90(constB106, 2)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13224, 13223, 13123])).
% 6.67/4.86 tff(13226,plain,
% 6.67/4.86 (((~v90(constB107, 2)) <=> v90(constB106, 2)) | (~v90(constB107, 2)) | v90(constB106, 2)),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13227,plain,
% 6.67/4.86 (~v90(constB107, 2)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13226, 13225, 1147])).
% 6.67/4.86 tff(13228,plain,
% 6.67/4.86 ((((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 0)) <=> v90(constB106, 0))) | (~((~v90(constB107, 0)) <=> v90(constB106, 0)))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13229,plain,
% 6.67/4.86 (~((~v90(constB107, 0)) <=> v90(constB106, 0))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13228, 1145])).
% 6.67/4.86 tff(13230,plain,
% 6.67/4.86 ((((~v129(constB106, 2)) <=> v127(constB105, 2)) | ((~v129(constB106, 1)) <=> v127(constB105, 1)) | ((~v129(constB106, 0)) <=> v127(constB105, 0))) | (~((~v129(constB106, 0)) <=> v127(constB105, 0)))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13231,plain,
% 6.67/4.86 (~((~v129(constB106, 0)) <=> v127(constB105, 0))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13230, 1154])).
% 6.67/4.86 tff(13232,plain,
% 6.67/4.86 ((((~v127(constB105, 2)) <=> v130(constB105, 2)) | ((~v127(constB105, 1)) <=> v130(constB105, 1)) | ((~v127(constB105, 0)) <=> v130(constB105, 0))) | (~((~v127(constB105, 0)) <=> v130(constB105, 0)))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13233,plain,
% 6.67/4.86 (~((~v127(constB105, 0)) <=> v130(constB105, 0))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13232, 1168])).
% 6.67/4.86 tff(13234,plain,
% 6.67/4.86 ((v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0))) | v130(constB105, 0)),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13235,plain,
% 6.67/4.86 (v130(constB105, 0)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13234, 13117])).
% 6.67/4.86 tff(13236,plain,
% 6.67/4.86 (((~v127(constB105, 0)) <=> v130(constB105, 0)) | v127(constB105, 0) | (~v130(constB105, 0))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13237,plain,
% 6.67/4.86 (v127(constB105, 0)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13236, 13235, 13233])).
% 6.67/4.86 tff(13238,plain,
% 6.67/4.86 (((~v129(constB106, 0)) <=> v127(constB105, 0)) | v129(constB106, 0) | (~v127(constB105, 0))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13239,plain,
% 6.67/4.86 (v129(constB106, 0)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13238, 13237, 13231])).
% 6.67/4.86 tff(13240,plain,
% 6.67/4.86 ((((~v90(constB106, 0)) <=> v129(constB106, 0)) | ((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1))) | (~((~v90(constB106, 0)) <=> v129(constB106, 0)))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13241,plain,
% 6.67/4.86 (~((~v90(constB106, 0)) <=> v129(constB106, 0))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13240, 13221])).
% 6.67/4.86 tff(13242,plain,
% 6.67/4.86 (((~v90(constB106, 0)) <=> v129(constB106, 0)) | v90(constB106, 0) | (~v129(constB106, 0))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13243,plain,
% 6.67/4.86 (v90(constB106, 0)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13242, 13241, 13239])).
% 6.67/4.86 tff(13244,plain,
% 6.67/4.86 (((~v90(constB107, 0)) <=> v90(constB106, 0)) | v90(constB107, 0) | (~v90(constB106, 0))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13245,plain,
% 6.67/4.86 (v90(constB107, 0)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13244, 13243, 13229])).
% 6.67/4.86 tff(13246,plain,
% 6.67/4.86 ((((~v90(constB107, 1)) <=> v90(constB106, 1)) | ((~v90(constB107, 2)) <=> v90(constB106, 2)) | ((~v90(constB107, 0)) <=> v90(constB106, 0))) | (~((~v90(constB107, 1)) <=> v90(constB106, 1)))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13247,plain,
% 6.67/4.86 (~((~v90(constB107, 1)) <=> v90(constB106, 1))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13246, 1145])).
% 6.67/4.86 tff(13248,plain,
% 6.67/4.86 ((((~v129(constB106, 2)) <=> v127(constB105, 2)) | ((~v129(constB106, 1)) <=> v127(constB105, 1)) | ((~v129(constB106, 0)) <=> v127(constB105, 0))) | (~((~v129(constB106, 1)) <=> v127(constB105, 1)))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13249,plain,
% 6.67/4.86 (~((~v129(constB106, 1)) <=> v127(constB105, 1))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13248, 1154])).
% 6.67/4.86 tff(13250,plain,
% 6.67/4.86 ((((~v127(constB105, 2)) <=> v130(constB105, 2)) | ((~v127(constB105, 1)) <=> v130(constB105, 1)) | ((~v127(constB105, 0)) <=> v130(constB105, 0))) | (~((~v127(constB105, 1)) <=> v130(constB105, 1)))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13251,plain,
% 6.67/4.86 (~((~v127(constB105, 1)) <=> v130(constB105, 1))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13250, 1168])).
% 6.67/4.86 tff(13252,plain,
% 6.67/4.86 ((v130(constB105, 2) | v130(constB105, 1) | (~v130(constB105, 0))) | (~v130(constB105, 1))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13253,plain,
% 6.67/4.86 (~v130(constB105, 1)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13252, 13117])).
% 6.67/4.86 tff(13254,plain,
% 6.67/4.86 (((~v127(constB105, 1)) <=> v130(constB105, 1)) | (~v127(constB105, 1)) | v130(constB105, 1)),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13255,plain,
% 6.67/4.86 (~v127(constB105, 1)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13254, 13253, 13251])).
% 6.67/4.86 tff(13256,plain,
% 6.67/4.86 (((~v129(constB106, 1)) <=> v127(constB105, 1)) | (~v129(constB106, 1)) | v127(constB105, 1)),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13257,plain,
% 6.67/4.86 (~v129(constB106, 1)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13256, 13255, 13249])).
% 6.67/4.86 tff(13258,plain,
% 6.67/4.86 ((((~v90(constB106, 0)) <=> v129(constB106, 0)) | ((~v90(constB106, 2)) <=> v129(constB106, 2)) | ((~v90(constB106, 1)) <=> v129(constB106, 1))) | (~((~v90(constB106, 1)) <=> v129(constB106, 1)))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13259,plain,
% 6.67/4.86 (~((~v90(constB106, 1)) <=> v129(constB106, 1))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13258, 13221])).
% 6.67/4.86 tff(13260,plain,
% 6.67/4.86 (((~v90(constB106, 1)) <=> v129(constB106, 1)) | (~v90(constB106, 1)) | v129(constB106, 1)),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13261,plain,
% 6.67/4.86 (~v90(constB106, 1)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13260, 13259, 13257])).
% 6.67/4.86 tff(13262,plain,
% 6.67/4.86 (((~v90(constB107, 1)) <=> v90(constB106, 1)) | (~v90(constB107, 1)) | v90(constB106, 1)),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13263,plain,
% 6.67/4.86 (~v90(constB107, 1)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13262, 13261, 13247])).
% 6.67/4.86 tff(13264,plain,
% 6.67/4.86 ((~(v90(constB107, 1) | v90(constB107, 2) | (~v90(constB107, 0)))) | v90(constB107, 1) | v90(constB107, 2) | (~v90(constB107, 0))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13265,plain,
% 6.67/4.86 (~(v90(constB107, 1) | v90(constB107, 2) | (~v90(constB107, 0)))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13264, 13263, 13245, 13227])).
% 6.67/4.86 tff(13266,plain,
% 6.67/4.86 ((~(v120(constB107) <=> (~(v90(constB107, 1) | v90(constB107, 2) | (~v90(constB107, 0)))))) | v120(constB107) | (v90(constB107, 1) | v90(constB107, 2) | (~v90(constB107, 0)))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13267,plain,
% 6.67/4.86 (v120(constB107)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13266, 13265, 1111])).
% 6.67/4.86 tff(13268,plain,
% 6.67/4.86 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB107)) | (~(v130(constB107, 2) | v130(constB107, 0) | (~v130(constB107, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB107)) | (~(v130(constB107, 2) | v130(constB107, 0) | (~v130(constB107, 1)))))),
% 6.67/4.86 inference(rewrite,[status(thm)],[])).
% 6.67/4.86 tff(13269,plain,
% 6.67/4.86 (((~v120(constB107)) | (~(v130(constB107, 0) | v130(constB107, 2) | (~v130(constB107, 1))))) <=> ((~v120(constB107)) | (~(v130(constB107, 2) | v130(constB107, 0) | (~v130(constB107, 1)))))),
% 6.67/4.86 inference(rewrite,[status(thm)],[])).
% 6.67/4.86 tff(13270,plain,
% 6.67/4.86 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB107)) | (~(v130(constB107, 0) | v130(constB107, 2) | (~v130(constB107, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB107)) | (~(v130(constB107, 2) | v130(constB107, 0) | (~v130(constB107, 1))))))),
% 6.67/4.86 inference(monotonicity,[status(thm)],[13269])).
% 6.67/4.86 tff(13271,plain,
% 6.67/4.86 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB107)) | (~(v130(constB107, 0) | v130(constB107, 2) | (~v130(constB107, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB107)) | (~(v130(constB107, 2) | v130(constB107, 0) | (~v130(constB107, 1)))))),
% 6.67/4.86 inference(transitivity,[status(thm)],[13270, 13268])).
% 6.67/4.86 tff(13272,plain,
% 6.67/4.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB107)) | (~(v130(constB107, 0) | v130(constB107, 2) | (~v130(constB107, 1)))))),
% 6.67/4.86 inference(quant_inst,[status(thm)],[])).
% 6.67/4.86 tff(13273,plain,
% 6.67/4.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB107)) | (~(v130(constB107, 2) | v130(constB107, 0) | (~v130(constB107, 1))))),
% 6.67/4.86 inference(modus_ponens,[status(thm)],[13272, 13271])).
% 6.67/4.86 tff(13274,plain,
% 6.67/4.86 ((~v120(constB107)) | (~(v130(constB107, 2) | v130(constB107, 0) | (~v130(constB107, 1))))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13273, 5246])).
% 6.67/4.86 tff(13275,plain,
% 6.67/4.86 (~(v130(constB107, 2) | v130(constB107, 0) | (~v130(constB107, 1)))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13274, 13267])).
% 6.67/4.86 tff(13276,plain,
% 6.67/4.86 ((v130(constB107, 2) | v130(constB107, 0) | (~v130(constB107, 1))) | (~v130(constB107, 2))),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13277,plain,
% 6.67/4.86 (~v130(constB107, 2)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13276, 13275])).
% 6.67/4.86 tff(13278,plain,
% 6.67/4.86 (((~v127(constB107, 2)) <=> v130(constB107, 2)) | (~v127(constB107, 2)) | v130(constB107, 2)),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13279,plain,
% 6.67/4.86 (~v127(constB107, 2)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13278, 13277, 1109])).
% 6.67/4.86 tff(13280,plain,
% 6.67/4.86 (((~v129(constB108, 2)) <=> v127(constB107, 2)) | (~v129(constB108, 2)) | v127(constB107, 2)),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13281,plain,
% 6.67/4.86 (~v129(constB108, 2)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13280, 13279, 1095])).
% 6.67/4.86 tff(13282,plain,
% 6.67/4.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))))),
% 6.67/4.86 inference(rewrite,[status(thm)],[])).
% 6.67/4.86 tff(13283,plain,
% 6.67/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))))),
% 6.67/4.86 inference(quant_inst,[status(thm)],[])).
% 6.67/4.86 tff(13284,plain,
% 6.67/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108)))))),
% 6.67/4.86 inference(modus_ponens,[status(thm)],[13283, 13282])).
% 6.67/4.86 tff(13285,plain,
% 6.67/4.86 (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13284, 1089, 273])).
% 6.67/4.86 tff(13286,plain,
% 6.67/4.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))),
% 6.67/4.86 inference(rewrite,[status(thm)],[])).
% 6.67/4.86 tff(13287,plain,
% 6.67/4.86 (((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108)))))) <=> ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))),
% 6.67/4.86 inference(rewrite,[status(thm)],[])).
% 6.67/4.86 tff(13288,plain,
% 6.67/4.86 (((~![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) <=> (~((~v1(constB108)) | (~v102(constB108)))))))),
% 6.67/4.86 inference(monotonicity,[status(thm)],[13287])).
% 6.67/4.86 tff(13289,plain,
% 6.67/4.86 (((~![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) <=> (~((~v1(constB108)) | (~v102(constB108))))))),
% 6.67/4.86 inference(transitivity,[status(thm)],[13288, 13286])).
% 6.67/4.86 tff(13290,plain,
% 6.67/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108))))))),
% 6.67/4.86 inference(quant_inst,[status(thm)],[])).
% 6.67/4.86 tff(13291,plain,
% 6.67/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108)))))),
% 6.67/4.86 inference(modus_ponens,[status(thm)],[13290, 13289])).
% 6.67/4.86 tff(13292,plain,
% 6.67/4.86 (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13291, 1089, 293])).
% 6.67/4.86 tff(13293,plain,
% 6.67/4.86 (((~![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)))),
% 6.67/4.86 inference(rewrite,[status(thm)],[])).
% 6.67/4.86 tff(13294,plain,
% 6.67/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108)))),
% 6.67/4.86 inference(quant_inst,[status(thm)],[])).
% 6.67/4.86 tff(13295,plain,
% 6.67/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108))),
% 6.67/4.86 inference(modus_ponens,[status(thm)],[13294, 13293])).
% 6.67/4.86 tff(13296,plain,
% 6.67/4.86 ((~v102(constB108)) <=> v104(constB108)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13295, 1089, 4609])).
% 6.67/4.86 tff(13297,plain,
% 6.67/4.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107)))),
% 6.67/4.86 inference(rewrite,[status(thm)],[])).
% 6.67/4.86 tff(13298,plain,
% 6.67/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107)))),
% 6.67/4.86 inference(quant_inst,[status(thm)],[])).
% 6.67/4.86 tff(13299,plain,
% 6.67/4.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107))),
% 6.67/4.86 inference(modus_ponens,[status(thm)],[13298, 13297])).
% 6.67/4.86 tff(13300,plain,
% 6.67/4.86 (v104(constB108) <=> v1(constB107)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13299, 1089, 4623])).
% 6.67/4.86 tff(13301,plain,
% 6.67/4.86 ((~(v104(constB108) <=> v1(constB107))) | (~v104(constB108)) | v1(constB107)),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13302,plain,
% 6.67/4.86 ((~(v104(constB108) <=> v1(constB107))) | (~v104(constB108))),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13301, 1128])).
% 6.67/4.86 tff(13303,plain,
% 6.67/4.86 (~v104(constB108)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13302, 13300])).
% 6.67/4.86 tff(13304,plain,
% 6.67/4.86 ((~((~v102(constB108)) <=> v104(constB108))) | v102(constB108) | v104(constB108)),
% 6.67/4.86 inference(tautology,[status(thm)],[])).
% 6.67/4.86 tff(13305,plain,
% 6.67/4.86 (v102(constB108)),
% 6.67/4.86 inference(unit_resolution,[status(thm)],[13304, 13303, 13296])).
% 6.67/4.86 tff(13306,plain,
% 6.67/4.86 (v1(constB108) <=> v1(constB108)),
% 6.67/4.86 inference(rewrite,[status(thm)],[])).
% 6.67/4.86 tff(13307,axiom,(v1(constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_108')).
% 6.67/4.86 tff(13308,plain,
% 6.67/4.86 (v1(constB108)),
% 6.67/4.86 inference(modus_ponens,[status(thm)],[13307, 13306])).
% 6.67/4.86 tff(13309,plain,
% 6.67/4.86 ((~((~v1(constB108)) | (~v102(constB108)))) | (~v1(constB108)) | (~v102(constB108))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13310,plain,
% 6.67/4.87 ((~((~v1(constB108)) | (~v102(constB108)))) | (~v102(constB108))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13309, 13308])).
% 6.67/4.87 tff(13311,plain,
% 6.67/4.87 (~((~v1(constB108)) | (~v102(constB108)))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13310, 13305])).
% 6.67/4.87 tff(13312,plain,
% 6.67/4.87 ((~(v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108)))))) | v101(constB108) | ((~v1(constB108)) | (~v102(constB108)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13313,plain,
% 6.67/4.87 (v101(constB108)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13312, 13311, 13292])).
% 6.67/4.87 tff(13314,plain,
% 6.67/4.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107)))),
% 6.67/4.87 inference(rewrite,[status(thm)],[])).
% 6.67/4.87 tff(13315,plain,
% 6.67/4.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13316,plain,
% 6.67/4.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107))),
% 6.67/4.87 inference(modus_ponens,[status(thm)],[13315, 13314])).
% 6.67/4.87 tff(13317,plain,
% 6.67/4.87 (v110(constB108) <=> v108(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13316, 1089, 4650])).
% 6.67/4.87 tff(13318,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB107) <=> (v111(constB107) | v112(constB107)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13319,plain,
% 6.67/4.87 (v108(constB107) <=> (v111(constB107) | v112(constB107))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13318, 4661])).
% 6.67/4.87 tff(13320,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107)))))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13321,plain,
% 6.67/4.87 (v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107))))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13320, 4673])).
% 6.67/4.87 tff(13322,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB107) <=> (v114(constB107) | v125(constB107)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13323,plain,
% 6.67/4.87 (v113(constB107) <=> (v114(constB107) | v125(constB107))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13322, 4682])).
% 6.67/4.87 tff(13324,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB107) <=> (v115(constB107) | v124(constB107)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13325,plain,
% 6.67/4.87 (v114(constB107) <=> (v115(constB107) | v124(constB107))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13324, 4691])).
% 6.67/4.87 tff(13326,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB107) <=> (v116(constB107) | v123(constB107)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13327,plain,
% 6.67/4.87 (v115(constB107) <=> (v116(constB107) | v123(constB107))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13326, 4700])).
% 6.67/4.87 tff(13328,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB107) <=> (v117(constB107) | v122(constB107)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13329,plain,
% 6.67/4.87 (v116(constB107) <=> (v117(constB107) | v122(constB107))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13328, 4709])).
% 6.67/4.87 tff(13330,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB107) <=> (v118(constB107) | v121(constB107)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13331,plain,
% 6.67/4.87 (v117(constB107) <=> (v118(constB107) | v121(constB107))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13330, 4718])).
% 6.67/4.87 tff(13332,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB107) <=> (v119(constB107) | v120(constB107)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13333,plain,
% 6.67/4.87 (v118(constB107) <=> (v119(constB107) | v120(constB107))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13332, 4727])).
% 6.67/4.87 tff(13334,plain,
% 6.67/4.87 ((v119(constB107) | v120(constB107)) | (~v120(constB107))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13335,plain,
% 6.67/4.87 (v119(constB107) | v120(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13334, 13267])).
% 6.67/4.87 tff(13336,plain,
% 6.67/4.87 ((~(v118(constB107) <=> (v119(constB107) | v120(constB107)))) | v118(constB107) | (~(v119(constB107) | v120(constB107)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13337,plain,
% 6.67/4.87 (v118(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13336, 13335, 13333])).
% 6.67/4.87 tff(13338,plain,
% 6.67/4.87 ((v118(constB107) | v121(constB107)) | (~v118(constB107))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13339,plain,
% 6.67/4.87 (v118(constB107) | v121(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13338, 13337])).
% 6.67/4.87 tff(13340,plain,
% 6.67/4.87 ((~(v117(constB107) <=> (v118(constB107) | v121(constB107)))) | v117(constB107) | (~(v118(constB107) | v121(constB107)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13341,plain,
% 6.67/4.87 (v117(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13340, 13339, 13331])).
% 6.67/4.87 tff(13342,plain,
% 6.67/4.87 ((v117(constB107) | v122(constB107)) | (~v117(constB107))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13343,plain,
% 6.67/4.87 (v117(constB107) | v122(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13342, 13341])).
% 6.67/4.87 tff(13344,plain,
% 6.67/4.87 ((~(v116(constB107) <=> (v117(constB107) | v122(constB107)))) | v116(constB107) | (~(v117(constB107) | v122(constB107)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13345,plain,
% 6.67/4.87 (v116(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13344, 13343, 13329])).
% 6.67/4.87 tff(13346,plain,
% 6.67/4.87 ((v116(constB107) | v123(constB107)) | (~v116(constB107))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13347,plain,
% 6.67/4.87 (v116(constB107) | v123(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13346, 13345])).
% 6.67/4.87 tff(13348,plain,
% 6.67/4.87 ((~(v115(constB107) <=> (v116(constB107) | v123(constB107)))) | v115(constB107) | (~(v116(constB107) | v123(constB107)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13349,plain,
% 6.67/4.87 (v115(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13348, 13347, 13327])).
% 6.67/4.87 tff(13350,plain,
% 6.67/4.87 ((v115(constB107) | v124(constB107)) | (~v115(constB107))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13351,plain,
% 6.67/4.87 (v115(constB107) | v124(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13350, 13349])).
% 6.67/4.87 tff(13352,plain,
% 6.67/4.87 ((~(v114(constB107) <=> (v115(constB107) | v124(constB107)))) | v114(constB107) | (~(v115(constB107) | v124(constB107)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13353,plain,
% 6.67/4.87 (v114(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13352, 13351, 13325])).
% 6.67/4.87 tff(13354,plain,
% 6.67/4.87 ((v114(constB107) | v125(constB107)) | (~v114(constB107))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13355,plain,
% 6.67/4.87 (v114(constB107) | v125(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13354, 13353])).
% 6.67/4.87 tff(13356,plain,
% 6.67/4.87 ((~(v113(constB107) <=> (v114(constB107) | v125(constB107)))) | v113(constB107) | (~(v114(constB107) | v125(constB107)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13357,plain,
% 6.67/4.87 (v113(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13356, 13355, 13323])).
% 6.67/4.87 tff(13358,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB107)) <=> v111(constB107))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13359,plain,
% 6.67/4.87 ((~v126(constB107)) <=> v111(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13358, 4761])).
% 6.67/4.87 tff(13360,plain,
% 6.67/4.87 ((~((~v126(constB107)) <=> v111(constB107))) | v126(constB107) | v111(constB107)),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13361,plain,
% 6.67/4.87 ((~((~v126(constB107)) <=> v111(constB107))) | v126(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13360, 1102])).
% 6.67/4.87 tff(13362,plain,
% 6.67/4.87 (v126(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13361, 13359])).
% 6.67/4.87 tff(13363,plain,
% 6.67/4.87 ((~((~v113(constB107)) | (~v126(constB107)))) | (~v113(constB107)) | (~v126(constB107))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13364,plain,
% 6.67/4.87 ((~((~v113(constB107)) | (~v126(constB107)))) | (~v113(constB107))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13363, 13362])).
% 6.67/4.87 tff(13365,plain,
% 6.67/4.87 (~((~v113(constB107)) | (~v126(constB107)))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13364, 13357])).
% 6.67/4.87 tff(13366,plain,
% 6.67/4.87 ((~(v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107)))))) | v112(constB107) | ((~v113(constB107)) | (~v126(constB107)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13367,plain,
% 6.67/4.87 (v112(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13366, 13365, 13321])).
% 6.67/4.87 tff(13368,plain,
% 6.67/4.87 ((v111(constB107) | v112(constB107)) | (~v112(constB107))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13369,plain,
% 6.67/4.87 (v111(constB107) | v112(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13368, 13367])).
% 6.67/4.87 tff(13370,plain,
% 6.67/4.87 ((~(v108(constB107) <=> (v111(constB107) | v112(constB107)))) | v108(constB107) | (~(v111(constB107) | v112(constB107)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13371,plain,
% 6.67/4.87 (v108(constB107)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13370, 13369, 13319])).
% 6.67/4.87 tff(13372,plain,
% 6.67/4.87 ((~(v110(constB108) <=> v108(constB107))) | v110(constB108) | (~v108(constB107))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13373,plain,
% 6.67/4.87 (v110(constB108)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13372, 13371, 13317])).
% 6.67/4.87 tff(13374,plain,
% 6.67/4.87 ((~((~v101(constB108)) | (~v110(constB108)))) | (~v101(constB108)) | (~v110(constB108))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13375,plain,
% 6.67/4.87 (~((~v101(constB108)) | (~v110(constB108)))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13374, 13373, 13313])).
% 6.67/4.87 tff(13376,plain,
% 6.67/4.87 ((~(v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108)))))) | v100(constB108) | ((~v101(constB108)) | (~v110(constB108)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13377,plain,
% 6.67/4.87 (v100(constB108)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13376, 13375, 13285])).
% 6.67/4.87 tff(13378,plain,
% 6.67/4.87 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB108)) | (~(((~v90(constB108, 2)) <=> v129(constB108, 2)) | ((~v90(constB108, 1)) <=> v129(constB108, 1)) | ((~v90(constB108, 0)) <=> v129(constB108, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB108)) | (~(((~v90(constB108, 2)) <=> v129(constB108, 2)) | ((~v90(constB108, 1)) <=> v129(constB108, 1)) | ((~v90(constB108, 0)) <=> v129(constB108, 0)))))),
% 6.67/4.87 inference(rewrite,[status(thm)],[])).
% 6.67/4.87 tff(13379,plain,
% 6.67/4.87 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB108)) | (~(((~v90(constB108, 2)) <=> v129(constB108, 2)) | ((~v90(constB108, 1)) <=> v129(constB108, 1)) | ((~v90(constB108, 0)) <=> v129(constB108, 0)))))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13380,plain,
% 6.67/4.87 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB108)) | (~(((~v90(constB108, 2)) <=> v129(constB108, 2)) | ((~v90(constB108, 1)) <=> v129(constB108, 1)) | ((~v90(constB108, 0)) <=> v129(constB108, 0))))),
% 6.67/4.87 inference(modus_ponens,[status(thm)],[13379, 13378])).
% 6.67/4.87 tff(13381,plain,
% 6.67/4.87 ((~v100(constB108)) | (~(((~v90(constB108, 2)) <=> v129(constB108, 2)) | ((~v90(constB108, 1)) <=> v129(constB108, 1)) | ((~v90(constB108, 0)) <=> v129(constB108, 0))))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13380, 4794])).
% 6.67/4.87 tff(13382,plain,
% 6.67/4.87 (~(((~v90(constB108, 2)) <=> v129(constB108, 2)) | ((~v90(constB108, 1)) <=> v129(constB108, 1)) | ((~v90(constB108, 0)) <=> v129(constB108, 0)))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13381, 13377])).
% 6.67/4.87 tff(13383,plain,
% 6.67/4.87 ((((~v90(constB108, 2)) <=> v129(constB108, 2)) | ((~v90(constB108, 1)) <=> v129(constB108, 1)) | ((~v90(constB108, 0)) <=> v129(constB108, 0))) | (~((~v90(constB108, 2)) <=> v129(constB108, 2)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13384,plain,
% 6.67/4.87 (~((~v90(constB108, 2)) <=> v129(constB108, 2))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13383, 13382])).
% 6.67/4.87 tff(13385,plain,
% 6.67/4.87 (((~v90(constB108, 2)) <=> v129(constB108, 2)) | (~v90(constB108, 2)) | v129(constB108, 2)),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13386,plain,
% 6.67/4.87 (~v90(constB108, 2)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13385, 13384, 13281])).
% 6.67/4.87 tff(13387,plain,
% 6.67/4.87 (((~v90(constB109, 2)) <=> v90(constB108, 2)) | (~v90(constB109, 2)) | v90(constB108, 2)),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13388,plain,
% 6.67/4.87 (~v90(constB109, 2)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13387, 13386, 1086])).
% 6.67/4.87 tff(13389,plain,
% 6.67/4.87 ((((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 0)) <=> v90(constB108, 0))) | (~((~v90(constB109, 0)) <=> v90(constB108, 0)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13390,plain,
% 6.67/4.87 (~((~v90(constB109, 0)) <=> v90(constB108, 0))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13389, 1084])).
% 6.67/4.87 tff(13391,plain,
% 6.67/4.87 ((((~v129(constB108, 2)) <=> v127(constB107, 2)) | ((~v129(constB108, 1)) <=> v127(constB107, 1)) | ((~v129(constB108, 0)) <=> v127(constB107, 0))) | (~((~v129(constB108, 0)) <=> v127(constB107, 0)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13392,plain,
% 6.67/4.87 (~((~v129(constB108, 0)) <=> v127(constB107, 0))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13391, 1093])).
% 6.67/4.87 tff(13393,plain,
% 6.67/4.87 ((((~v127(constB107, 2)) <=> v130(constB107, 2)) | ((~v127(constB107, 1)) <=> v130(constB107, 1)) | ((~v127(constB107, 0)) <=> v130(constB107, 0))) | (~((~v127(constB107, 0)) <=> v130(constB107, 0)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13394,plain,
% 6.67/4.87 (~((~v127(constB107, 0)) <=> v130(constB107, 0))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13393, 1107])).
% 6.67/4.87 tff(13395,plain,
% 6.67/4.87 ((v130(constB107, 2) | v130(constB107, 0) | (~v130(constB107, 1))) | (~v130(constB107, 0))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13396,plain,
% 6.67/4.87 (~v130(constB107, 0)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13395, 13275])).
% 6.67/4.87 tff(13397,plain,
% 6.67/4.87 (((~v127(constB107, 0)) <=> v130(constB107, 0)) | (~v127(constB107, 0)) | v130(constB107, 0)),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13398,plain,
% 6.67/4.87 (~v127(constB107, 0)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13397, 13396, 13394])).
% 6.67/4.87 tff(13399,plain,
% 6.67/4.87 (((~v129(constB108, 0)) <=> v127(constB107, 0)) | (~v129(constB108, 0)) | v127(constB107, 0)),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13400,plain,
% 6.67/4.87 (~v129(constB108, 0)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13399, 13398, 13392])).
% 6.67/4.87 tff(13401,plain,
% 6.67/4.87 ((((~v90(constB108, 2)) <=> v129(constB108, 2)) | ((~v90(constB108, 1)) <=> v129(constB108, 1)) | ((~v90(constB108, 0)) <=> v129(constB108, 0))) | (~((~v90(constB108, 0)) <=> v129(constB108, 0)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13402,plain,
% 6.67/4.87 (~((~v90(constB108, 0)) <=> v129(constB108, 0))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13401, 13382])).
% 6.67/4.87 tff(13403,plain,
% 6.67/4.87 (((~v90(constB108, 0)) <=> v129(constB108, 0)) | (~v90(constB108, 0)) | v129(constB108, 0)),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13404,plain,
% 6.67/4.87 (~v90(constB108, 0)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13403, 13402, 13400])).
% 6.67/4.87 tff(13405,plain,
% 6.67/4.87 (((~v90(constB109, 0)) <=> v90(constB108, 0)) | (~v90(constB109, 0)) | v90(constB108, 0)),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13406,plain,
% 6.67/4.87 (~v90(constB109, 0)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13405, 13404, 13390])).
% 6.67/4.87 tff(13407,plain,
% 6.67/4.87 ((((~v90(constB109, 1)) <=> v90(constB108, 1)) | ((~v90(constB109, 2)) <=> v90(constB108, 2)) | ((~v90(constB109, 0)) <=> v90(constB108, 0))) | (~((~v90(constB109, 1)) <=> v90(constB108, 1)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13408,plain,
% 6.67/4.87 (~((~v90(constB109, 1)) <=> v90(constB108, 1))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13407, 1084])).
% 6.67/4.87 tff(13409,plain,
% 6.67/4.87 ((((~v129(constB108, 2)) <=> v127(constB107, 2)) | ((~v129(constB108, 1)) <=> v127(constB107, 1)) | ((~v129(constB108, 0)) <=> v127(constB107, 0))) | (~((~v129(constB108, 1)) <=> v127(constB107, 1)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13410,plain,
% 6.67/4.87 (~((~v129(constB108, 1)) <=> v127(constB107, 1))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13409, 1093])).
% 6.67/4.87 tff(13411,plain,
% 6.67/4.87 ((((~v127(constB107, 2)) <=> v130(constB107, 2)) | ((~v127(constB107, 1)) <=> v130(constB107, 1)) | ((~v127(constB107, 0)) <=> v130(constB107, 0))) | (~((~v127(constB107, 1)) <=> v130(constB107, 1)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13412,plain,
% 6.67/4.87 (~((~v127(constB107, 1)) <=> v130(constB107, 1))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13411, 1107])).
% 6.67/4.87 tff(13413,plain,
% 6.67/4.87 ((v130(constB107, 2) | v130(constB107, 0) | (~v130(constB107, 1))) | v130(constB107, 1)),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13414,plain,
% 6.67/4.87 (v130(constB107, 1)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13413, 13275])).
% 6.67/4.87 tff(13415,plain,
% 6.67/4.87 (((~v127(constB107, 1)) <=> v130(constB107, 1)) | v127(constB107, 1) | (~v130(constB107, 1))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13416,plain,
% 6.67/4.87 (v127(constB107, 1)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13415, 13414, 13412])).
% 6.67/4.87 tff(13417,plain,
% 6.67/4.87 (((~v129(constB108, 1)) <=> v127(constB107, 1)) | v129(constB108, 1) | (~v127(constB107, 1))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13418,plain,
% 6.67/4.87 (v129(constB108, 1)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13417, 13416, 13410])).
% 6.67/4.87 tff(13419,plain,
% 6.67/4.87 ((((~v90(constB108, 2)) <=> v129(constB108, 2)) | ((~v90(constB108, 1)) <=> v129(constB108, 1)) | ((~v90(constB108, 0)) <=> v129(constB108, 0))) | (~((~v90(constB108, 1)) <=> v129(constB108, 1)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13420,plain,
% 6.67/4.87 (~((~v90(constB108, 1)) <=> v129(constB108, 1))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13419, 13382])).
% 6.67/4.87 tff(13421,plain,
% 6.67/4.87 (((~v90(constB108, 1)) <=> v129(constB108, 1)) | v90(constB108, 1) | (~v129(constB108, 1))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13422,plain,
% 6.67/4.87 (v90(constB108, 1)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13421, 13420, 13418])).
% 6.67/4.87 tff(13423,plain,
% 6.67/4.87 (((~v90(constB109, 1)) <=> v90(constB108, 1)) | v90(constB109, 1) | (~v90(constB108, 1))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13424,plain,
% 6.67/4.87 (v90(constB109, 1)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13423, 13422, 13408])).
% 6.67/4.87 tff(13425,plain,
% 6.67/4.87 ((~(v90(constB109, 2) | v90(constB109, 0) | (~v90(constB109, 1)))) | v90(constB109, 2) | v90(constB109, 0) | (~v90(constB109, 1))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13426,plain,
% 6.67/4.87 (~(v90(constB109, 2) | v90(constB109, 0) | (~v90(constB109, 1)))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13425, 13424, 13406, 13388])).
% 6.67/4.87 tff(13427,plain,
% 6.67/4.87 ((~(v121(constB109) <=> (~(v90(constB109, 2) | v90(constB109, 0) | (~v90(constB109, 1)))))) | v121(constB109) | (v90(constB109, 2) | v90(constB109, 0) | (~v90(constB109, 1)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13428,plain,
% 6.67/4.87 (v121(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13427, 13426, 1050])).
% 6.67/4.87 tff(13429,plain,
% 6.67/4.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB109)) | (~(v130(constB109, 2) | (~v130(constB109, 1)) | (~v130(constB109, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB109)) | (~(v130(constB109, 2) | (~v130(constB109, 1)) | (~v130(constB109, 0)))))),
% 6.67/4.87 inference(rewrite,[status(thm)],[])).
% 6.67/4.87 tff(13430,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB109)) | (~(v130(constB109, 2) | (~v130(constB109, 1)) | (~v130(constB109, 0)))))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13431,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB109)) | (~(v130(constB109, 2) | (~v130(constB109, 1)) | (~v130(constB109, 0))))),
% 6.67/4.87 inference(modus_ponens,[status(thm)],[13430, 13429])).
% 6.67/4.87 tff(13432,plain,
% 6.67/4.87 ((~v121(constB109)) | (~(v130(constB109, 2) | (~v130(constB109, 1)) | (~v130(constB109, 0))))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13431, 5420])).
% 6.67/4.87 tff(13433,plain,
% 6.67/4.87 (~(v130(constB109, 2) | (~v130(constB109, 1)) | (~v130(constB109, 0)))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13432, 13428])).
% 6.67/4.87 tff(13434,plain,
% 6.67/4.87 ((v130(constB109, 2) | (~v130(constB109, 1)) | (~v130(constB109, 0))) | (~v130(constB109, 2))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13435,plain,
% 6.67/4.87 (~v130(constB109, 2)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13434, 13433])).
% 6.67/4.87 tff(13436,plain,
% 6.67/4.87 (((~v127(constB109, 2)) <=> v130(constB109, 2)) | (~v127(constB109, 2)) | v130(constB109, 2)),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13437,plain,
% 6.67/4.87 (~v127(constB109, 2)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13436, 13435, 1043])).
% 6.67/4.87 tff(13438,plain,
% 6.67/4.87 (((~v129(constB110, 2)) <=> v127(constB109, 2)) | (~v129(constB110, 2)) | v127(constB109, 2)),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13439,plain,
% 6.67/4.87 (~v129(constB110, 2)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13438, 13437, 1029])).
% 6.67/4.87 tff(13440,plain,
% 6.67/4.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))))),
% 6.67/4.87 inference(rewrite,[status(thm)],[])).
% 6.67/4.87 tff(13441,plain,
% 6.67/4.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13442,plain,
% 6.67/4.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110)))))),
% 6.67/4.87 inference(modus_ponens,[status(thm)],[13441, 13440])).
% 6.67/4.87 tff(13443,plain,
% 6.67/4.87 (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13442, 1023, 273])).
% 6.67/4.87 tff(13444,plain,
% 6.67/4.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))),
% 6.67/4.87 inference(rewrite,[status(thm)],[])).
% 6.67/4.87 tff(13445,plain,
% 6.67/4.87 (((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110)))))) <=> ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))),
% 6.67/4.87 inference(rewrite,[status(thm)],[])).
% 6.67/4.87 tff(13446,plain,
% 6.67/4.87 (((~![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) <=> (~((~v1(constB110)) | (~v102(constB110)))))))),
% 6.67/4.87 inference(monotonicity,[status(thm)],[13445])).
% 6.67/4.87 tff(13447,plain,
% 6.67/4.87 (((~![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) <=> (~((~v1(constB110)) | (~v102(constB110))))))),
% 6.67/4.87 inference(transitivity,[status(thm)],[13446, 13444])).
% 6.67/4.87 tff(13448,plain,
% 6.67/4.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110))))))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13449,plain,
% 6.67/4.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110)))))),
% 6.67/4.87 inference(modus_ponens,[status(thm)],[13448, 13447])).
% 6.67/4.87 tff(13450,plain,
% 6.67/4.87 (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13449, 1023, 293])).
% 6.67/4.87 tff(13451,plain,
% 6.67/4.87 (((~![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)))),
% 6.67/4.87 inference(rewrite,[status(thm)],[])).
% 6.67/4.87 tff(13452,plain,
% 6.67/4.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13453,plain,
% 6.67/4.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110))),
% 6.67/4.87 inference(modus_ponens,[status(thm)],[13452, 13451])).
% 6.67/4.87 tff(13454,plain,
% 6.67/4.87 ((~v102(constB110)) <=> v104(constB110)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13453, 1023, 4609])).
% 6.67/4.87 tff(13455,plain,
% 6.67/4.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109)))),
% 6.67/4.87 inference(rewrite,[status(thm)],[])).
% 6.67/4.87 tff(13456,plain,
% 6.67/4.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13457,plain,
% 6.67/4.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109))),
% 6.67/4.87 inference(modus_ponens,[status(thm)],[13456, 13455])).
% 6.67/4.87 tff(13458,plain,
% 6.67/4.87 (v104(constB110) <=> v1(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13457, 1023, 4623])).
% 6.67/4.87 tff(13459,plain,
% 6.67/4.87 ((~(v104(constB110) <=> v1(constB109))) | (~v104(constB110)) | v1(constB109)),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13460,plain,
% 6.67/4.87 ((~(v104(constB110) <=> v1(constB109))) | (~v104(constB110))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13459, 1067])).
% 6.67/4.87 tff(13461,plain,
% 6.67/4.87 (~v104(constB110)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13460, 13458])).
% 6.67/4.87 tff(13462,plain,
% 6.67/4.87 ((~((~v102(constB110)) <=> v104(constB110))) | v102(constB110) | v104(constB110)),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13463,plain,
% 6.67/4.87 (v102(constB110)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13462, 13461, 13454])).
% 6.67/4.87 tff(13464,plain,
% 6.67/4.87 (v1(constB110) <=> v1(constB110)),
% 6.67/4.87 inference(rewrite,[status(thm)],[])).
% 6.67/4.87 tff(13465,axiom,(v1(constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_110')).
% 6.67/4.87 tff(13466,plain,
% 6.67/4.87 (v1(constB110)),
% 6.67/4.87 inference(modus_ponens,[status(thm)],[13465, 13464])).
% 6.67/4.87 tff(13467,plain,
% 6.67/4.87 ((~((~v1(constB110)) | (~v102(constB110)))) | (~v1(constB110)) | (~v102(constB110))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13468,plain,
% 6.67/4.87 ((~((~v1(constB110)) | (~v102(constB110)))) | (~v102(constB110))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13467, 13466])).
% 6.67/4.87 tff(13469,plain,
% 6.67/4.87 (~((~v1(constB110)) | (~v102(constB110)))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13468, 13463])).
% 6.67/4.87 tff(13470,plain,
% 6.67/4.87 ((~(v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110)))))) | v101(constB110) | ((~v1(constB110)) | (~v102(constB110)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13471,plain,
% 6.67/4.87 (v101(constB110)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13470, 13469, 13450])).
% 6.67/4.87 tff(13472,plain,
% 6.67/4.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109)))),
% 6.67/4.87 inference(rewrite,[status(thm)],[])).
% 6.67/4.87 tff(13473,plain,
% 6.67/4.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13474,plain,
% 6.67/4.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109))),
% 6.67/4.87 inference(modus_ponens,[status(thm)],[13473, 13472])).
% 6.67/4.87 tff(13475,plain,
% 6.67/4.87 (v110(constB110) <=> v108(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13474, 1023, 4650])).
% 6.67/4.87 tff(13476,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB109) <=> (v111(constB109) | v112(constB109)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13477,plain,
% 6.67/4.87 (v108(constB109) <=> (v111(constB109) | v112(constB109))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13476, 4661])).
% 6.67/4.87 tff(13478,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109)))))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13479,plain,
% 6.67/4.87 (v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109))))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13478, 4673])).
% 6.67/4.87 tff(13480,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB109) <=> (v114(constB109) | v125(constB109)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13481,plain,
% 6.67/4.87 (v113(constB109) <=> (v114(constB109) | v125(constB109))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13480, 4682])).
% 6.67/4.87 tff(13482,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB109) <=> (v115(constB109) | v124(constB109)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13483,plain,
% 6.67/4.87 (v114(constB109) <=> (v115(constB109) | v124(constB109))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13482, 4691])).
% 6.67/4.87 tff(13484,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB109) <=> (v116(constB109) | v123(constB109)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13485,plain,
% 6.67/4.87 (v115(constB109) <=> (v116(constB109) | v123(constB109))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13484, 4700])).
% 6.67/4.87 tff(13486,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB109) <=> (v117(constB109) | v122(constB109)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13487,plain,
% 6.67/4.87 (v116(constB109) <=> (v117(constB109) | v122(constB109))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13486, 4709])).
% 6.67/4.87 tff(13488,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB109) <=> (v118(constB109) | v121(constB109)))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13489,plain,
% 6.67/4.87 (v117(constB109) <=> (v118(constB109) | v121(constB109))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13488, 4718])).
% 6.67/4.87 tff(13490,plain,
% 6.67/4.87 ((v118(constB109) | v121(constB109)) | (~v121(constB109))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13491,plain,
% 6.67/4.87 (v118(constB109) | v121(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13490, 13428])).
% 6.67/4.87 tff(13492,plain,
% 6.67/4.87 ((~(v117(constB109) <=> (v118(constB109) | v121(constB109)))) | v117(constB109) | (~(v118(constB109) | v121(constB109)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13493,plain,
% 6.67/4.87 (v117(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13492, 13491, 13489])).
% 6.67/4.87 tff(13494,plain,
% 6.67/4.87 ((v117(constB109) | v122(constB109)) | (~v117(constB109))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13495,plain,
% 6.67/4.87 (v117(constB109) | v122(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13494, 13493])).
% 6.67/4.87 tff(13496,plain,
% 6.67/4.87 ((~(v116(constB109) <=> (v117(constB109) | v122(constB109)))) | v116(constB109) | (~(v117(constB109) | v122(constB109)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13497,plain,
% 6.67/4.87 (v116(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13496, 13495, 13487])).
% 6.67/4.87 tff(13498,plain,
% 6.67/4.87 ((v116(constB109) | v123(constB109)) | (~v116(constB109))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13499,plain,
% 6.67/4.87 (v116(constB109) | v123(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13498, 13497])).
% 6.67/4.87 tff(13500,plain,
% 6.67/4.87 ((~(v115(constB109) <=> (v116(constB109) | v123(constB109)))) | v115(constB109) | (~(v116(constB109) | v123(constB109)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13501,plain,
% 6.67/4.87 (v115(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13500, 13499, 13485])).
% 6.67/4.87 tff(13502,plain,
% 6.67/4.87 ((v115(constB109) | v124(constB109)) | (~v115(constB109))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13503,plain,
% 6.67/4.87 (v115(constB109) | v124(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13502, 13501])).
% 6.67/4.87 tff(13504,plain,
% 6.67/4.87 ((~(v114(constB109) <=> (v115(constB109) | v124(constB109)))) | v114(constB109) | (~(v115(constB109) | v124(constB109)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13505,plain,
% 6.67/4.87 (v114(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13504, 13503, 13483])).
% 6.67/4.87 tff(13506,plain,
% 6.67/4.87 ((v114(constB109) | v125(constB109)) | (~v114(constB109))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13507,plain,
% 6.67/4.87 (v114(constB109) | v125(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13506, 13505])).
% 6.67/4.87 tff(13508,plain,
% 6.67/4.87 ((~(v113(constB109) <=> (v114(constB109) | v125(constB109)))) | v113(constB109) | (~(v114(constB109) | v125(constB109)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13509,plain,
% 6.67/4.87 (v113(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13508, 13507, 13481])).
% 6.67/4.87 tff(13510,plain,
% 6.67/4.87 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB109)) <=> v111(constB109))),
% 6.67/4.87 inference(quant_inst,[status(thm)],[])).
% 6.67/4.87 tff(13511,plain,
% 6.67/4.87 ((~v126(constB109)) <=> v111(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13510, 4761])).
% 6.67/4.87 tff(13512,plain,
% 6.67/4.87 ((~((~v126(constB109)) <=> v111(constB109))) | v126(constB109) | v111(constB109)),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13513,plain,
% 6.67/4.87 ((~((~v126(constB109)) <=> v111(constB109))) | v126(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13512, 1036])).
% 6.67/4.87 tff(13514,plain,
% 6.67/4.87 (v126(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13513, 13511])).
% 6.67/4.87 tff(13515,plain,
% 6.67/4.87 ((~((~v113(constB109)) | (~v126(constB109)))) | (~v113(constB109)) | (~v126(constB109))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13516,plain,
% 6.67/4.87 ((~((~v113(constB109)) | (~v126(constB109)))) | (~v113(constB109))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13515, 13514])).
% 6.67/4.87 tff(13517,plain,
% 6.67/4.87 (~((~v113(constB109)) | (~v126(constB109)))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13516, 13509])).
% 6.67/4.87 tff(13518,plain,
% 6.67/4.87 ((~(v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109)))))) | v112(constB109) | ((~v113(constB109)) | (~v126(constB109)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13519,plain,
% 6.67/4.87 (v112(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13518, 13517, 13479])).
% 6.67/4.87 tff(13520,plain,
% 6.67/4.87 ((v111(constB109) | v112(constB109)) | (~v112(constB109))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13521,plain,
% 6.67/4.87 (v111(constB109) | v112(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13520, 13519])).
% 6.67/4.87 tff(13522,plain,
% 6.67/4.87 ((~(v108(constB109) <=> (v111(constB109) | v112(constB109)))) | v108(constB109) | (~(v111(constB109) | v112(constB109)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13523,plain,
% 6.67/4.87 (v108(constB109)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13522, 13521, 13477])).
% 6.67/4.87 tff(13524,plain,
% 6.67/4.87 ((~(v110(constB110) <=> v108(constB109))) | v110(constB110) | (~v108(constB109))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13525,plain,
% 6.67/4.87 (v110(constB110)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13524, 13523, 13475])).
% 6.67/4.87 tff(13526,plain,
% 6.67/4.87 ((~((~v101(constB110)) | (~v110(constB110)))) | (~v101(constB110)) | (~v110(constB110))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13527,plain,
% 6.67/4.87 (~((~v101(constB110)) | (~v110(constB110)))),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13526, 13525, 13471])).
% 6.67/4.87 tff(13528,plain,
% 6.67/4.87 ((~(v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110)))))) | v100(constB110) | ((~v101(constB110)) | (~v110(constB110)))),
% 6.67/4.87 inference(tautology,[status(thm)],[])).
% 6.67/4.87 tff(13529,plain,
% 6.67/4.87 (v100(constB110)),
% 6.67/4.87 inference(unit_resolution,[status(thm)],[13528, 13527, 13443])).
% 6.67/4.87 tff(13530,plain,
% 6.67/4.87 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB110)) | (~(((~v90(constB110, 0)) <=> v129(constB110, 0)) | ((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB110)) | (~(((~v90(constB110, 0)) <=> v129(constB110, 0)) | ((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1)))))),
% 6.67/4.87 inference(rewrite,[status(thm)],[])).
% 6.67/4.87 tff(13531,plain,
% 6.67/4.87 (((~v100(constB110)) | (~(((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1)) | ((~v90(constB110, 0)) <=> v129(constB110, 0))))) <=> ((~v100(constB110)) | (~(((~v90(constB110, 0)) <=> v129(constB110, 0)) | ((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1)))))),
% 6.67/4.88 inference(rewrite,[status(thm)],[])).
% 6.67/4.88 tff(13532,plain,
% 6.67/4.88 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB110)) | (~(((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1)) | ((~v90(constB110, 0)) <=> v129(constB110, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB110)) | (~(((~v90(constB110, 0)) <=> v129(constB110, 0)) | ((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1))))))),
% 6.67/4.88 inference(monotonicity,[status(thm)],[13531])).
% 6.67/4.88 tff(13533,plain,
% 6.67/4.88 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB110)) | (~(((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1)) | ((~v90(constB110, 0)) <=> v129(constB110, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB110)) | (~(((~v90(constB110, 0)) <=> v129(constB110, 0)) | ((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1)))))),
% 6.67/4.88 inference(transitivity,[status(thm)],[13532, 13530])).
% 6.67/4.88 tff(13534,plain,
% 6.67/4.88 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB110)) | (~(((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1)) | ((~v90(constB110, 0)) <=> v129(constB110, 0)))))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13535,plain,
% 6.67/4.88 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB110)) | (~(((~v90(constB110, 0)) <=> v129(constB110, 0)) | ((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1))))),
% 6.67/4.88 inference(modus_ponens,[status(thm)],[13534, 13533])).
% 6.67/4.88 tff(13536,plain,
% 6.67/4.88 ((~v100(constB110)) | (~(((~v90(constB110, 0)) <=> v129(constB110, 0)) | ((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1))))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13535, 4794])).
% 6.67/4.88 tff(13537,plain,
% 6.67/4.88 (~(((~v90(constB110, 0)) <=> v129(constB110, 0)) | ((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1)))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13536, 13529])).
% 6.67/4.88 tff(13538,plain,
% 6.67/4.88 ((((~v90(constB110, 0)) <=> v129(constB110, 0)) | ((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1))) | (~((~v90(constB110, 2)) <=> v129(constB110, 2)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13539,plain,
% 6.67/4.88 (~((~v90(constB110, 2)) <=> v129(constB110, 2))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13538, 13537])).
% 6.67/4.88 tff(13540,plain,
% 6.67/4.88 (((~v90(constB110, 2)) <=> v129(constB110, 2)) | (~v90(constB110, 2)) | v129(constB110, 2)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13541,plain,
% 6.67/4.88 (~v90(constB110, 2)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13540, 13539, 13439])).
% 6.67/4.88 tff(13542,plain,
% 6.67/4.88 (((~v90(constB111, 2)) <=> v90(constB110, 2)) | (~v90(constB111, 2)) | v90(constB110, 2)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13543,plain,
% 6.67/4.88 (~v90(constB111, 2)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13542, 13541, 1020])).
% 6.67/4.88 tff(13544,plain,
% 6.67/4.88 ((((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 0)) <=> v90(constB110, 0))) | (~((~v90(constB111, 0)) <=> v90(constB110, 0)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13545,plain,
% 6.67/4.88 (~((~v90(constB111, 0)) <=> v90(constB110, 0))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13544, 1018])).
% 6.67/4.88 tff(13546,plain,
% 6.67/4.88 ((((~v129(constB110, 2)) <=> v127(constB109, 2)) | ((~v129(constB110, 1)) <=> v127(constB109, 1)) | ((~v129(constB110, 0)) <=> v127(constB109, 0))) | (~((~v129(constB110, 0)) <=> v127(constB109, 0)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13547,plain,
% 6.67/4.88 (~((~v129(constB110, 0)) <=> v127(constB109, 0))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13546, 1027])).
% 6.67/4.88 tff(13548,plain,
% 6.67/4.88 ((((~v127(constB109, 2)) <=> v130(constB109, 2)) | ((~v127(constB109, 1)) <=> v130(constB109, 1)) | ((~v127(constB109, 0)) <=> v130(constB109, 0))) | (~((~v127(constB109, 0)) <=> v130(constB109, 0)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13549,plain,
% 6.67/4.88 (~((~v127(constB109, 0)) <=> v130(constB109, 0))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13548, 1041])).
% 6.67/4.88 tff(13550,plain,
% 6.67/4.88 ((v130(constB109, 2) | (~v130(constB109, 1)) | (~v130(constB109, 0))) | v130(constB109, 0)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13551,plain,
% 6.67/4.88 (v130(constB109, 0)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13550, 13433])).
% 6.67/4.88 tff(13552,plain,
% 6.67/4.88 (((~v127(constB109, 0)) <=> v130(constB109, 0)) | v127(constB109, 0) | (~v130(constB109, 0))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13553,plain,
% 6.67/4.88 (v127(constB109, 0)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13552, 13551, 13549])).
% 6.67/4.88 tff(13554,plain,
% 6.67/4.88 (((~v129(constB110, 0)) <=> v127(constB109, 0)) | v129(constB110, 0) | (~v127(constB109, 0))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13555,plain,
% 6.67/4.88 (v129(constB110, 0)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13554, 13553, 13547])).
% 6.67/4.88 tff(13556,plain,
% 6.67/4.88 ((((~v90(constB110, 0)) <=> v129(constB110, 0)) | ((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1))) | (~((~v90(constB110, 0)) <=> v129(constB110, 0)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13557,plain,
% 6.67/4.88 (~((~v90(constB110, 0)) <=> v129(constB110, 0))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13556, 13537])).
% 6.67/4.88 tff(13558,plain,
% 6.67/4.88 (((~v90(constB110, 0)) <=> v129(constB110, 0)) | v90(constB110, 0) | (~v129(constB110, 0))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13559,plain,
% 6.67/4.88 (v90(constB110, 0)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13558, 13557, 13555])).
% 6.67/4.88 tff(13560,plain,
% 6.67/4.88 (((~v90(constB111, 0)) <=> v90(constB110, 0)) | v90(constB111, 0) | (~v90(constB110, 0))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13561,plain,
% 6.67/4.88 (v90(constB111, 0)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13560, 13559, 13545])).
% 6.67/4.88 tff(13562,plain,
% 6.67/4.88 ((((~v90(constB111, 1)) <=> v90(constB110, 1)) | ((~v90(constB111, 2)) <=> v90(constB110, 2)) | ((~v90(constB111, 0)) <=> v90(constB110, 0))) | (~((~v90(constB111, 1)) <=> v90(constB110, 1)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13563,plain,
% 6.67/4.88 (~((~v90(constB111, 1)) <=> v90(constB110, 1))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13562, 1018])).
% 6.67/4.88 tff(13564,plain,
% 6.67/4.88 ((((~v129(constB110, 2)) <=> v127(constB109, 2)) | ((~v129(constB110, 1)) <=> v127(constB109, 1)) | ((~v129(constB110, 0)) <=> v127(constB109, 0))) | (~((~v129(constB110, 1)) <=> v127(constB109, 1)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13565,plain,
% 6.67/4.88 (~((~v129(constB110, 1)) <=> v127(constB109, 1))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13564, 1027])).
% 6.67/4.88 tff(13566,plain,
% 6.67/4.88 ((((~v127(constB109, 2)) <=> v130(constB109, 2)) | ((~v127(constB109, 1)) <=> v130(constB109, 1)) | ((~v127(constB109, 0)) <=> v130(constB109, 0))) | (~((~v127(constB109, 1)) <=> v130(constB109, 1)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13567,plain,
% 6.67/4.88 (~((~v127(constB109, 1)) <=> v130(constB109, 1))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13566, 1041])).
% 6.67/4.88 tff(13568,plain,
% 6.67/4.88 ((v130(constB109, 2) | (~v130(constB109, 1)) | (~v130(constB109, 0))) | v130(constB109, 1)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13569,plain,
% 6.67/4.88 (v130(constB109, 1)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13568, 13433])).
% 6.67/4.88 tff(13570,plain,
% 6.67/4.88 (((~v127(constB109, 1)) <=> v130(constB109, 1)) | v127(constB109, 1) | (~v130(constB109, 1))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13571,plain,
% 6.67/4.88 (v127(constB109, 1)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13570, 13569, 13567])).
% 6.67/4.88 tff(13572,plain,
% 6.67/4.88 (((~v129(constB110, 1)) <=> v127(constB109, 1)) | v129(constB110, 1) | (~v127(constB109, 1))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13573,plain,
% 6.67/4.88 (v129(constB110, 1)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13572, 13571, 13565])).
% 6.67/4.88 tff(13574,plain,
% 6.67/4.88 ((((~v90(constB110, 0)) <=> v129(constB110, 0)) | ((~v90(constB110, 2)) <=> v129(constB110, 2)) | ((~v90(constB110, 1)) <=> v129(constB110, 1))) | (~((~v90(constB110, 1)) <=> v129(constB110, 1)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13575,plain,
% 6.67/4.88 (~((~v90(constB110, 1)) <=> v129(constB110, 1))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13574, 13537])).
% 6.67/4.88 tff(13576,plain,
% 6.67/4.88 (((~v90(constB110, 1)) <=> v129(constB110, 1)) | v90(constB110, 1) | (~v129(constB110, 1))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13577,plain,
% 6.67/4.88 (v90(constB110, 1)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13576, 13575, 13573])).
% 6.67/4.88 tff(13578,plain,
% 6.67/4.88 (((~v90(constB111, 1)) <=> v90(constB110, 1)) | v90(constB111, 1) | (~v90(constB110, 1))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13579,plain,
% 6.67/4.88 (v90(constB111, 1)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13578, 13577, 13563])).
% 6.67/4.88 tff(13580,plain,
% 6.67/4.88 ((~(v90(constB111, 2) | (~v90(constB111, 1)) | (~v90(constB111, 0)))) | v90(constB111, 2) | (~v90(constB111, 1)) | (~v90(constB111, 0))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13581,plain,
% 6.67/4.88 (~(v90(constB111, 2) | (~v90(constB111, 1)) | (~v90(constB111, 0)))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13580, 13579, 13561, 13543])).
% 6.67/4.88 tff(13582,plain,
% 6.67/4.88 ((~(v122(constB111) <=> (~(v90(constB111, 2) | (~v90(constB111, 1)) | (~v90(constB111, 0)))))) | v122(constB111) | (v90(constB111, 2) | (~v90(constB111, 1)) | (~v90(constB111, 0)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13583,plain,
% 6.67/4.88 (v122(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13582, 13581, 984])).
% 6.67/4.88 tff(13584,plain,
% 6.67/4.88 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB111)) | (~(v130(constB111, 1) | v130(constB111, 0) | (~v130(constB111, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB111)) | (~(v130(constB111, 1) | v130(constB111, 0) | (~v130(constB111, 2)))))),
% 6.67/4.88 inference(rewrite,[status(thm)],[])).
% 6.67/4.88 tff(13585,plain,
% 6.67/4.88 (((~v122(constB111)) | (~(v130(constB111, 0) | v130(constB111, 1) | (~v130(constB111, 2))))) <=> ((~v122(constB111)) | (~(v130(constB111, 1) | v130(constB111, 0) | (~v130(constB111, 2)))))),
% 6.67/4.88 inference(rewrite,[status(thm)],[])).
% 6.67/4.88 tff(13586,plain,
% 6.67/4.88 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB111)) | (~(v130(constB111, 0) | v130(constB111, 1) | (~v130(constB111, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB111)) | (~(v130(constB111, 1) | v130(constB111, 0) | (~v130(constB111, 2))))))),
% 6.67/4.88 inference(monotonicity,[status(thm)],[13585])).
% 6.67/4.88 tff(13587,plain,
% 6.67/4.88 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB111)) | (~(v130(constB111, 0) | v130(constB111, 1) | (~v130(constB111, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB111)) | (~(v130(constB111, 1) | v130(constB111, 0) | (~v130(constB111, 2)))))),
% 6.67/4.88 inference(transitivity,[status(thm)],[13586, 13584])).
% 6.67/4.88 tff(13588,plain,
% 6.67/4.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB111)) | (~(v130(constB111, 0) | v130(constB111, 1) | (~v130(constB111, 2)))))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13589,plain,
% 6.67/4.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB111)) | (~(v130(constB111, 1) | v130(constB111, 0) | (~v130(constB111, 2))))),
% 6.67/4.88 inference(modus_ponens,[status(thm)],[13588, 13587])).
% 6.67/4.88 tff(13590,plain,
% 6.67/4.88 ((~v122(constB111)) | (~(v130(constB111, 1) | v130(constB111, 0) | (~v130(constB111, 2))))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13589, 5588])).
% 6.67/4.88 tff(13591,plain,
% 6.67/4.88 (~(v130(constB111, 1) | v130(constB111, 0) | (~v130(constB111, 2)))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13590, 13583])).
% 6.67/4.88 tff(13592,plain,
% 6.67/4.88 ((v130(constB111, 1) | v130(constB111, 0) | (~v130(constB111, 2))) | v130(constB111, 2)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13593,plain,
% 6.67/4.88 (v130(constB111, 2)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13592, 13591])).
% 6.67/4.88 tff(13594,plain,
% 6.67/4.88 (((~v127(constB111, 2)) <=> v130(constB111, 2)) | v127(constB111, 2) | (~v130(constB111, 2))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13595,plain,
% 6.67/4.88 (v127(constB111, 2)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13594, 13593, 977])).
% 6.67/4.88 tff(13596,plain,
% 6.67/4.88 (((~v129(constB112, 2)) <=> v127(constB111, 2)) | v129(constB112, 2) | (~v127(constB111, 2))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13597,plain,
% 6.67/4.88 (v129(constB112, 2)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13596, 13595, 963])).
% 6.67/4.88 tff(13598,plain,
% 6.67/4.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))))),
% 6.67/4.88 inference(rewrite,[status(thm)],[])).
% 6.67/4.88 tff(13599,plain,
% 6.67/4.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13600,plain,
% 6.67/4.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112)))))),
% 6.67/4.88 inference(modus_ponens,[status(thm)],[13599, 13598])).
% 6.67/4.88 tff(13601,plain,
% 6.67/4.88 (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13600, 957, 273])).
% 6.67/4.88 tff(13602,plain,
% 6.67/4.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))),
% 6.67/4.88 inference(rewrite,[status(thm)],[])).
% 6.67/4.88 tff(13603,plain,
% 6.67/4.88 (((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112)))))) <=> ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))),
% 6.67/4.88 inference(rewrite,[status(thm)],[])).
% 6.67/4.88 tff(13604,plain,
% 6.67/4.88 (((~![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) <=> (~((~v1(constB112)) | (~v102(constB112)))))))),
% 6.67/4.88 inference(monotonicity,[status(thm)],[13603])).
% 6.67/4.88 tff(13605,plain,
% 6.67/4.88 (((~![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) <=> (~((~v1(constB112)) | (~v102(constB112))))))),
% 6.67/4.88 inference(transitivity,[status(thm)],[13604, 13602])).
% 6.67/4.88 tff(13606,plain,
% 6.67/4.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112))))))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13607,plain,
% 6.67/4.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112)))))),
% 6.67/4.88 inference(modus_ponens,[status(thm)],[13606, 13605])).
% 6.67/4.88 tff(13608,plain,
% 6.67/4.88 (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13607, 957, 293])).
% 6.67/4.88 tff(13609,plain,
% 6.67/4.88 (((~![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)))),
% 6.67/4.88 inference(rewrite,[status(thm)],[])).
% 6.67/4.88 tff(13610,plain,
% 6.67/4.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112)))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13611,plain,
% 6.67/4.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112))),
% 6.67/4.88 inference(modus_ponens,[status(thm)],[13610, 13609])).
% 6.67/4.88 tff(13612,plain,
% 6.67/4.88 ((~v102(constB112)) <=> v104(constB112)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13611, 957, 4609])).
% 6.67/4.88 tff(13613,plain,
% 6.67/4.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111)))),
% 6.67/4.88 inference(rewrite,[status(thm)],[])).
% 6.67/4.88 tff(13614,plain,
% 6.67/4.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111)))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13615,plain,
% 6.67/4.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111))),
% 6.67/4.88 inference(modus_ponens,[status(thm)],[13614, 13613])).
% 6.67/4.88 tff(13616,plain,
% 6.67/4.88 (v104(constB112) <=> v1(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13615, 957, 4623])).
% 6.67/4.88 tff(13617,plain,
% 6.67/4.88 ((~(v104(constB112) <=> v1(constB111))) | (~v104(constB112)) | v1(constB111)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13618,plain,
% 6.67/4.88 ((~(v104(constB112) <=> v1(constB111))) | (~v104(constB112))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13617, 1001])).
% 6.67/4.88 tff(13619,plain,
% 6.67/4.88 (~v104(constB112)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13618, 13616])).
% 6.67/4.88 tff(13620,plain,
% 6.67/4.88 ((~((~v102(constB112)) <=> v104(constB112))) | v102(constB112) | v104(constB112)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13621,plain,
% 6.67/4.88 (v102(constB112)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13620, 13619, 13612])).
% 6.67/4.88 tff(13622,plain,
% 6.67/4.88 (v1(constB112) <=> v1(constB112)),
% 6.67/4.88 inference(rewrite,[status(thm)],[])).
% 6.67/4.88 tff(13623,axiom,(v1(constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_112')).
% 6.67/4.88 tff(13624,plain,
% 6.67/4.88 (v1(constB112)),
% 6.67/4.88 inference(modus_ponens,[status(thm)],[13623, 13622])).
% 6.67/4.88 tff(13625,plain,
% 6.67/4.88 ((~((~v1(constB112)) | (~v102(constB112)))) | (~v1(constB112)) | (~v102(constB112))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13626,plain,
% 6.67/4.88 ((~((~v1(constB112)) | (~v102(constB112)))) | (~v102(constB112))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13625, 13624])).
% 6.67/4.88 tff(13627,plain,
% 6.67/4.88 (~((~v1(constB112)) | (~v102(constB112)))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13626, 13621])).
% 6.67/4.88 tff(13628,plain,
% 6.67/4.88 ((~(v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112)))))) | v101(constB112) | ((~v1(constB112)) | (~v102(constB112)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13629,plain,
% 6.67/4.88 (v101(constB112)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13628, 13627, 13608])).
% 6.67/4.88 tff(13630,plain,
% 6.67/4.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111)))),
% 6.67/4.88 inference(rewrite,[status(thm)],[])).
% 6.67/4.88 tff(13631,plain,
% 6.67/4.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111)))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13632,plain,
% 6.67/4.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111))),
% 6.67/4.88 inference(modus_ponens,[status(thm)],[13631, 13630])).
% 6.67/4.88 tff(13633,plain,
% 6.67/4.88 (v110(constB112) <=> v108(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13632, 957, 4650])).
% 6.67/4.88 tff(13634,plain,
% 6.67/4.88 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB111) <=> (v111(constB111) | v112(constB111)))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13635,plain,
% 6.67/4.88 (v108(constB111) <=> (v111(constB111) | v112(constB111))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13634, 4661])).
% 6.67/4.88 tff(13636,plain,
% 6.67/4.88 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111)))))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13637,plain,
% 6.67/4.88 (v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111))))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13636, 4673])).
% 6.67/4.88 tff(13638,plain,
% 6.67/4.88 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB111) <=> (v114(constB111) | v125(constB111)))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13639,plain,
% 6.67/4.88 (v113(constB111) <=> (v114(constB111) | v125(constB111))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13638, 4682])).
% 6.67/4.88 tff(13640,plain,
% 6.67/4.88 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB111) <=> (v115(constB111) | v124(constB111)))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13641,plain,
% 6.67/4.88 (v114(constB111) <=> (v115(constB111) | v124(constB111))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13640, 4691])).
% 6.67/4.88 tff(13642,plain,
% 6.67/4.88 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB111) <=> (v116(constB111) | v123(constB111)))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13643,plain,
% 6.67/4.88 (v115(constB111) <=> (v116(constB111) | v123(constB111))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13642, 4700])).
% 6.67/4.88 tff(13644,plain,
% 6.67/4.88 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB111) <=> (v117(constB111) | v122(constB111)))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13645,plain,
% 6.67/4.88 (v116(constB111) <=> (v117(constB111) | v122(constB111))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13644, 4709])).
% 6.67/4.88 tff(13646,plain,
% 6.67/4.88 ((v117(constB111) | v122(constB111)) | (~v122(constB111))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13647,plain,
% 6.67/4.88 (v117(constB111) | v122(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13646, 13583])).
% 6.67/4.88 tff(13648,plain,
% 6.67/4.88 ((~(v116(constB111) <=> (v117(constB111) | v122(constB111)))) | v116(constB111) | (~(v117(constB111) | v122(constB111)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13649,plain,
% 6.67/4.88 (v116(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13648, 13647, 13645])).
% 6.67/4.88 tff(13650,plain,
% 6.67/4.88 ((v116(constB111) | v123(constB111)) | (~v116(constB111))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13651,plain,
% 6.67/4.88 (v116(constB111) | v123(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13650, 13649])).
% 6.67/4.88 tff(13652,plain,
% 6.67/4.88 ((~(v115(constB111) <=> (v116(constB111) | v123(constB111)))) | v115(constB111) | (~(v116(constB111) | v123(constB111)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13653,plain,
% 6.67/4.88 (v115(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13652, 13651, 13643])).
% 6.67/4.88 tff(13654,plain,
% 6.67/4.88 ((v115(constB111) | v124(constB111)) | (~v115(constB111))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13655,plain,
% 6.67/4.88 (v115(constB111) | v124(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13654, 13653])).
% 6.67/4.88 tff(13656,plain,
% 6.67/4.88 ((~(v114(constB111) <=> (v115(constB111) | v124(constB111)))) | v114(constB111) | (~(v115(constB111) | v124(constB111)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13657,plain,
% 6.67/4.88 (v114(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13656, 13655, 13641])).
% 6.67/4.88 tff(13658,plain,
% 6.67/4.88 ((v114(constB111) | v125(constB111)) | (~v114(constB111))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13659,plain,
% 6.67/4.88 (v114(constB111) | v125(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13658, 13657])).
% 6.67/4.88 tff(13660,plain,
% 6.67/4.88 ((~(v113(constB111) <=> (v114(constB111) | v125(constB111)))) | v113(constB111) | (~(v114(constB111) | v125(constB111)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13661,plain,
% 6.67/4.88 (v113(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13660, 13659, 13639])).
% 6.67/4.88 tff(13662,plain,
% 6.67/4.88 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB111)) <=> v111(constB111))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13663,plain,
% 6.67/4.88 ((~v126(constB111)) <=> v111(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13662, 4761])).
% 6.67/4.88 tff(13664,plain,
% 6.67/4.88 ((~((~v126(constB111)) <=> v111(constB111))) | v126(constB111) | v111(constB111)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13665,plain,
% 6.67/4.88 ((~((~v126(constB111)) <=> v111(constB111))) | v126(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13664, 970])).
% 6.67/4.88 tff(13666,plain,
% 6.67/4.88 (v126(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13665, 13663])).
% 6.67/4.88 tff(13667,plain,
% 6.67/4.88 ((~((~v113(constB111)) | (~v126(constB111)))) | (~v113(constB111)) | (~v126(constB111))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13668,plain,
% 6.67/4.88 ((~((~v113(constB111)) | (~v126(constB111)))) | (~v113(constB111))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13667, 13666])).
% 6.67/4.88 tff(13669,plain,
% 6.67/4.88 (~((~v113(constB111)) | (~v126(constB111)))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13668, 13661])).
% 6.67/4.88 tff(13670,plain,
% 6.67/4.88 ((~(v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111)))))) | v112(constB111) | ((~v113(constB111)) | (~v126(constB111)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13671,plain,
% 6.67/4.88 (v112(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13670, 13669, 13637])).
% 6.67/4.88 tff(13672,plain,
% 6.67/4.88 ((v111(constB111) | v112(constB111)) | (~v112(constB111))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13673,plain,
% 6.67/4.88 (v111(constB111) | v112(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13672, 13671])).
% 6.67/4.88 tff(13674,plain,
% 6.67/4.88 ((~(v108(constB111) <=> (v111(constB111) | v112(constB111)))) | v108(constB111) | (~(v111(constB111) | v112(constB111)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13675,plain,
% 6.67/4.88 (v108(constB111)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13674, 13673, 13635])).
% 6.67/4.88 tff(13676,plain,
% 6.67/4.88 ((~(v110(constB112) <=> v108(constB111))) | v110(constB112) | (~v108(constB111))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13677,plain,
% 6.67/4.88 (v110(constB112)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13676, 13675, 13633])).
% 6.67/4.88 tff(13678,plain,
% 6.67/4.88 ((~((~v101(constB112)) | (~v110(constB112)))) | (~v101(constB112)) | (~v110(constB112))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13679,plain,
% 6.67/4.88 (~((~v101(constB112)) | (~v110(constB112)))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13678, 13677, 13629])).
% 6.67/4.88 tff(13680,plain,
% 6.67/4.88 ((~(v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112)))))) | v100(constB112) | ((~v101(constB112)) | (~v110(constB112)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13681,plain,
% 6.67/4.88 (v100(constB112)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13680, 13679, 13601])).
% 6.67/4.88 tff(13682,plain,
% 6.67/4.88 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB112)) | (~(((~v90(constB112, 2)) <=> v129(constB112, 2)) | ((~v90(constB112, 1)) <=> v129(constB112, 1)) | ((~v90(constB112, 0)) <=> v129(constB112, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB112)) | (~(((~v90(constB112, 2)) <=> v129(constB112, 2)) | ((~v90(constB112, 1)) <=> v129(constB112, 1)) | ((~v90(constB112, 0)) <=> v129(constB112, 0)))))),
% 6.67/4.88 inference(rewrite,[status(thm)],[])).
% 6.67/4.88 tff(13683,plain,
% 6.67/4.88 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB112)) | (~(((~v90(constB112, 2)) <=> v129(constB112, 2)) | ((~v90(constB112, 1)) <=> v129(constB112, 1)) | ((~v90(constB112, 0)) <=> v129(constB112, 0)))))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13684,plain,
% 6.67/4.88 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB112)) | (~(((~v90(constB112, 2)) <=> v129(constB112, 2)) | ((~v90(constB112, 1)) <=> v129(constB112, 1)) | ((~v90(constB112, 0)) <=> v129(constB112, 0))))),
% 6.67/4.88 inference(modus_ponens,[status(thm)],[13683, 13682])).
% 6.67/4.88 tff(13685,plain,
% 6.67/4.88 ((~v100(constB112)) | (~(((~v90(constB112, 2)) <=> v129(constB112, 2)) | ((~v90(constB112, 1)) <=> v129(constB112, 1)) | ((~v90(constB112, 0)) <=> v129(constB112, 0))))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13684, 4794])).
% 6.67/4.88 tff(13686,plain,
% 6.67/4.88 (~(((~v90(constB112, 2)) <=> v129(constB112, 2)) | ((~v90(constB112, 1)) <=> v129(constB112, 1)) | ((~v90(constB112, 0)) <=> v129(constB112, 0)))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13685, 13681])).
% 6.67/4.88 tff(13687,plain,
% 6.67/4.88 ((((~v90(constB112, 2)) <=> v129(constB112, 2)) | ((~v90(constB112, 1)) <=> v129(constB112, 1)) | ((~v90(constB112, 0)) <=> v129(constB112, 0))) | (~((~v90(constB112, 2)) <=> v129(constB112, 2)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13688,plain,
% 6.67/4.88 (~((~v90(constB112, 2)) <=> v129(constB112, 2))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13687, 13686])).
% 6.67/4.88 tff(13689,plain,
% 6.67/4.88 (((~v90(constB112, 2)) <=> v129(constB112, 2)) | v90(constB112, 2) | (~v129(constB112, 2))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13690,plain,
% 6.67/4.88 (v90(constB112, 2)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13689, 13688, 13597])).
% 6.67/4.88 tff(13691,plain,
% 6.67/4.88 (((~v90(constB113, 2)) <=> v90(constB112, 2)) | v90(constB113, 2) | (~v90(constB112, 2))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13692,plain,
% 6.67/4.88 (v90(constB113, 2)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13691, 13690, 954])).
% 6.67/4.88 tff(13693,plain,
% 6.67/4.88 ((((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 0)) <=> v90(constB112, 0))) | (~((~v90(constB113, 0)) <=> v90(constB112, 0)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13694,plain,
% 6.67/4.88 (~((~v90(constB113, 0)) <=> v90(constB112, 0))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13693, 952])).
% 6.67/4.88 tff(13695,plain,
% 6.67/4.88 ((((~v129(constB112, 2)) <=> v127(constB111, 2)) | ((~v129(constB112, 1)) <=> v127(constB111, 1)) | ((~v129(constB112, 0)) <=> v127(constB111, 0))) | (~((~v129(constB112, 0)) <=> v127(constB111, 0)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13696,plain,
% 6.67/4.88 (~((~v129(constB112, 0)) <=> v127(constB111, 0))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13695, 961])).
% 6.67/4.88 tff(13697,plain,
% 6.67/4.88 ((((~v127(constB111, 2)) <=> v130(constB111, 2)) | ((~v127(constB111, 1)) <=> v130(constB111, 1)) | ((~v127(constB111, 0)) <=> v130(constB111, 0))) | (~((~v127(constB111, 0)) <=> v130(constB111, 0)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13698,plain,
% 6.67/4.88 (~((~v127(constB111, 0)) <=> v130(constB111, 0))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13697, 975])).
% 6.67/4.88 tff(13699,plain,
% 6.67/4.88 ((v130(constB111, 1) | v130(constB111, 0) | (~v130(constB111, 2))) | (~v130(constB111, 0))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13700,plain,
% 6.67/4.88 (~v130(constB111, 0)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13699, 13591])).
% 6.67/4.88 tff(13701,plain,
% 6.67/4.88 (((~v127(constB111, 0)) <=> v130(constB111, 0)) | (~v127(constB111, 0)) | v130(constB111, 0)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13702,plain,
% 6.67/4.88 (~v127(constB111, 0)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13701, 13700, 13698])).
% 6.67/4.88 tff(13703,plain,
% 6.67/4.88 (((~v129(constB112, 0)) <=> v127(constB111, 0)) | (~v129(constB112, 0)) | v127(constB111, 0)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13704,plain,
% 6.67/4.88 (~v129(constB112, 0)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13703, 13702, 13696])).
% 6.67/4.88 tff(13705,plain,
% 6.67/4.88 ((((~v90(constB112, 2)) <=> v129(constB112, 2)) | ((~v90(constB112, 1)) <=> v129(constB112, 1)) | ((~v90(constB112, 0)) <=> v129(constB112, 0))) | (~((~v90(constB112, 0)) <=> v129(constB112, 0)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13706,plain,
% 6.67/4.88 (~((~v90(constB112, 0)) <=> v129(constB112, 0))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13705, 13686])).
% 6.67/4.88 tff(13707,plain,
% 6.67/4.88 (((~v90(constB112, 0)) <=> v129(constB112, 0)) | (~v90(constB112, 0)) | v129(constB112, 0)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13708,plain,
% 6.67/4.88 (~v90(constB112, 0)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13707, 13706, 13704])).
% 6.67/4.88 tff(13709,plain,
% 6.67/4.88 (((~v90(constB113, 0)) <=> v90(constB112, 0)) | (~v90(constB113, 0)) | v90(constB112, 0)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13710,plain,
% 6.67/4.88 (~v90(constB113, 0)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13709, 13708, 13694])).
% 6.67/4.88 tff(13711,plain,
% 6.67/4.88 ((((~v90(constB113, 1)) <=> v90(constB112, 1)) | ((~v90(constB113, 2)) <=> v90(constB112, 2)) | ((~v90(constB113, 0)) <=> v90(constB112, 0))) | (~((~v90(constB113, 1)) <=> v90(constB112, 1)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13712,plain,
% 6.67/4.88 (~((~v90(constB113, 1)) <=> v90(constB112, 1))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13711, 952])).
% 6.67/4.88 tff(13713,plain,
% 6.67/4.88 ((((~v129(constB112, 2)) <=> v127(constB111, 2)) | ((~v129(constB112, 1)) <=> v127(constB111, 1)) | ((~v129(constB112, 0)) <=> v127(constB111, 0))) | (~((~v129(constB112, 1)) <=> v127(constB111, 1)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13714,plain,
% 6.67/4.88 (~((~v129(constB112, 1)) <=> v127(constB111, 1))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13713, 961])).
% 6.67/4.88 tff(13715,plain,
% 6.67/4.88 ((((~v127(constB111, 2)) <=> v130(constB111, 2)) | ((~v127(constB111, 1)) <=> v130(constB111, 1)) | ((~v127(constB111, 0)) <=> v130(constB111, 0))) | (~((~v127(constB111, 1)) <=> v130(constB111, 1)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13716,plain,
% 6.67/4.88 (~((~v127(constB111, 1)) <=> v130(constB111, 1))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13715, 975])).
% 6.67/4.88 tff(13717,plain,
% 6.67/4.88 ((v130(constB111, 1) | v130(constB111, 0) | (~v130(constB111, 2))) | (~v130(constB111, 1))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13718,plain,
% 6.67/4.88 (~v130(constB111, 1)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13717, 13591])).
% 6.67/4.88 tff(13719,plain,
% 6.67/4.88 (((~v127(constB111, 1)) <=> v130(constB111, 1)) | (~v127(constB111, 1)) | v130(constB111, 1)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13720,plain,
% 6.67/4.88 (~v127(constB111, 1)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13719, 13718, 13716])).
% 6.67/4.88 tff(13721,plain,
% 6.67/4.88 (((~v129(constB112, 1)) <=> v127(constB111, 1)) | (~v129(constB112, 1)) | v127(constB111, 1)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13722,plain,
% 6.67/4.88 (~v129(constB112, 1)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13721, 13720, 13714])).
% 6.67/4.88 tff(13723,plain,
% 6.67/4.88 ((((~v90(constB112, 2)) <=> v129(constB112, 2)) | ((~v90(constB112, 1)) <=> v129(constB112, 1)) | ((~v90(constB112, 0)) <=> v129(constB112, 0))) | (~((~v90(constB112, 1)) <=> v129(constB112, 1)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13724,plain,
% 6.67/4.88 (~((~v90(constB112, 1)) <=> v129(constB112, 1))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13723, 13686])).
% 6.67/4.88 tff(13725,plain,
% 6.67/4.88 (((~v90(constB112, 1)) <=> v129(constB112, 1)) | (~v90(constB112, 1)) | v129(constB112, 1)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13726,plain,
% 6.67/4.88 (~v90(constB112, 1)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13725, 13724, 13722])).
% 6.67/4.88 tff(13727,plain,
% 6.67/4.88 (((~v90(constB113, 1)) <=> v90(constB112, 1)) | (~v90(constB113, 1)) | v90(constB112, 1)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13728,plain,
% 6.67/4.88 (~v90(constB113, 1)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13727, 13726, 13712])).
% 6.67/4.88 tff(13729,plain,
% 6.67/4.88 ((~(v90(constB113, 1) | v90(constB113, 0) | (~v90(constB113, 2)))) | v90(constB113, 1) | v90(constB113, 0) | (~v90(constB113, 2))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13730,plain,
% 6.67/4.88 (~(v90(constB113, 1) | v90(constB113, 0) | (~v90(constB113, 2)))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13729, 13728, 13710, 13692])).
% 6.67/4.88 tff(13731,plain,
% 6.67/4.88 ((~(v123(constB113) <=> (~(v90(constB113, 1) | v90(constB113, 0) | (~v90(constB113, 2)))))) | v123(constB113) | (v90(constB113, 1) | v90(constB113, 0) | (~v90(constB113, 2)))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13732,plain,
% 6.67/4.88 (v123(constB113)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13731, 13730, 918])).
% 6.67/4.88 tff(13733,plain,
% 6.67/4.88 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB113)) | (~(v130(constB113, 0) | (~v130(constB113, 2)) | (~v130(constB113, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB113)) | (~(v130(constB113, 0) | (~v130(constB113, 2)) | (~v130(constB113, 1)))))),
% 6.67/4.88 inference(rewrite,[status(thm)],[])).
% 6.67/4.88 tff(13734,plain,
% 6.67/4.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB113)) | (~(v130(constB113, 0) | (~v130(constB113, 2)) | (~v130(constB113, 1)))))),
% 6.67/4.88 inference(quant_inst,[status(thm)],[])).
% 6.67/4.88 tff(13735,plain,
% 6.67/4.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB113)) | (~(v130(constB113, 0) | (~v130(constB113, 2)) | (~v130(constB113, 1))))),
% 6.67/4.88 inference(modus_ponens,[status(thm)],[13734, 13733])).
% 6.67/4.88 tff(13736,plain,
% 6.67/4.88 ((~v123(constB113)) | (~(v130(constB113, 0) | (~v130(constB113, 2)) | (~v130(constB113, 1))))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13735, 4861])).
% 6.67/4.88 tff(13737,plain,
% 6.67/4.88 (~(v130(constB113, 0) | (~v130(constB113, 2)) | (~v130(constB113, 1)))),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13736, 13732])).
% 6.67/4.88 tff(13738,plain,
% 6.67/4.88 ((v130(constB113, 0) | (~v130(constB113, 2)) | (~v130(constB113, 1))) | (~v130(constB113, 0))),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13739,plain,
% 6.67/4.88 (~v130(constB113, 0)),
% 6.67/4.88 inference(unit_resolution,[status(thm)],[13738, 13737])).
% 6.67/4.88 tff(13740,plain,
% 6.67/4.88 (((~v127(constB113, 0)) <=> v130(constB113, 0)) | (~v127(constB113, 0)) | v130(constB113, 0)),
% 6.67/4.88 inference(tautology,[status(thm)],[])).
% 6.67/4.88 tff(13741,plain,
% 6.67/4.88 (~v127(constB113, 0)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13740, 13739, 911])).
% 6.67/4.89 tff(13742,plain,
% 6.67/4.89 (((~v129(constB114, 0)) <=> v127(constB113, 0)) | (~v129(constB114, 0)) | v127(constB113, 0)),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13743,plain,
% 6.67/4.89 (~v129(constB114, 0)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13742, 13741, 897])).
% 6.67/4.89 tff(13744,plain,
% 6.67/4.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13745,plain,
% 6.67/4.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13746,plain,
% 6.67/4.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114)))))),
% 6.67/4.89 inference(modus_ponens,[status(thm)],[13745, 13744])).
% 6.67/4.89 tff(13747,plain,
% 6.67/4.89 (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13746, 891, 273])).
% 6.67/4.89 tff(13748,plain,
% 6.67/4.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13749,plain,
% 6.67/4.89 (((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114)))))) <=> ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13750,plain,
% 6.67/4.89 (((~![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) <=> (~((~v1(constB114)) | (~v102(constB114)))))))),
% 6.67/4.89 inference(monotonicity,[status(thm)],[13749])).
% 6.67/4.89 tff(13751,plain,
% 6.67/4.89 (((~![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) <=> (~((~v1(constB114)) | (~v102(constB114))))))),
% 6.67/4.89 inference(transitivity,[status(thm)],[13750, 13748])).
% 6.67/4.89 tff(13752,plain,
% 6.67/4.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114))))))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13753,plain,
% 6.67/4.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114)))))),
% 6.67/4.89 inference(modus_ponens,[status(thm)],[13752, 13751])).
% 6.67/4.89 tff(13754,plain,
% 6.67/4.89 (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13753, 891, 293])).
% 6.67/4.89 tff(13755,plain,
% 6.67/4.89 (((~![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)))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13756,plain,
% 6.67/4.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114)))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13757,plain,
% 6.67/4.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114))),
% 6.67/4.89 inference(modus_ponens,[status(thm)],[13756, 13755])).
% 6.67/4.89 tff(13758,plain,
% 6.67/4.89 ((~v102(constB114)) <=> v104(constB114)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13757, 891, 4609])).
% 6.67/4.89 tff(13759,plain,
% 6.67/4.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113)))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13760,plain,
% 6.67/4.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113)))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13761,plain,
% 6.67/4.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113))),
% 6.67/4.89 inference(modus_ponens,[status(thm)],[13760, 13759])).
% 6.67/4.89 tff(13762,plain,
% 6.67/4.89 (v104(constB114) <=> v1(constB113)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13761, 891, 4623])).
% 6.67/4.89 tff(13763,plain,
% 6.67/4.89 ((~(v104(constB114) <=> v1(constB113))) | (~v104(constB114)) | v1(constB113)),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13764,plain,
% 6.67/4.89 ((~(v104(constB114) <=> v1(constB113))) | (~v104(constB114))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13763, 935])).
% 6.67/4.89 tff(13765,plain,
% 6.67/4.89 (~v104(constB114)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13764, 13762])).
% 6.67/4.89 tff(13766,plain,
% 6.67/4.89 ((~((~v102(constB114)) <=> v104(constB114))) | v102(constB114) | v104(constB114)),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13767,plain,
% 6.67/4.89 (v102(constB114)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13766, 13765, 13758])).
% 6.67/4.89 tff(13768,plain,
% 6.67/4.89 ((~((~v1(constB114)) | (~v102(constB114)))) | (~v1(constB114)) | (~v102(constB114))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13769,plain,
% 6.67/4.89 ((~((~v1(constB114)) | (~v102(constB114)))) | (~v102(constB114))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13768, 107])).
% 6.67/4.89 tff(13770,plain,
% 6.67/4.89 (~((~v1(constB114)) | (~v102(constB114)))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13769, 13767])).
% 6.67/4.89 tff(13771,plain,
% 6.67/4.89 ((~(v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114)))))) | v101(constB114) | ((~v1(constB114)) | (~v102(constB114)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13772,plain,
% 6.67/4.89 (v101(constB114)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13771, 13770, 13754])).
% 6.67/4.89 tff(13773,plain,
% 6.67/4.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113)))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13774,plain,
% 6.67/4.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113)))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13775,plain,
% 6.67/4.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113))),
% 6.67/4.89 inference(modus_ponens,[status(thm)],[13774, 13773])).
% 6.67/4.89 tff(13776,plain,
% 6.67/4.89 (v110(constB114) <=> v108(constB113)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13775, 891, 4650])).
% 6.67/4.89 tff(13777,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB113) <=> (v111(constB113) | v112(constB113)))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13778,plain,
% 6.67/4.89 (v108(constB113) <=> (v111(constB113) | v112(constB113))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13777, 4661])).
% 6.67/4.89 tff(13779,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113)))))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13780,plain,
% 6.67/4.89 (v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113))))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13779, 4673])).
% 6.67/4.89 tff(13781,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB113) <=> (v114(constB113) | v125(constB113)))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13782,plain,
% 6.67/4.89 (v113(constB113) <=> (v114(constB113) | v125(constB113))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13781, 4682])).
% 6.67/4.89 tff(13783,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB113) <=> (v115(constB113) | v124(constB113)))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13784,plain,
% 6.67/4.89 (v114(constB113) <=> (v115(constB113) | v124(constB113))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13783, 4691])).
% 6.67/4.89 tff(13785,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB113) <=> (v116(constB113) | v123(constB113)))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13786,plain,
% 6.67/4.89 (v115(constB113) <=> (v116(constB113) | v123(constB113))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13785, 4700])).
% 6.67/4.89 tff(13787,plain,
% 6.67/4.89 ((v116(constB113) | v123(constB113)) | (~v123(constB113))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13788,plain,
% 6.67/4.89 (v116(constB113) | v123(constB113)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13787, 13732])).
% 6.67/4.89 tff(13789,plain,
% 6.67/4.89 ((~(v115(constB113) <=> (v116(constB113) | v123(constB113)))) | v115(constB113) | (~(v116(constB113) | v123(constB113)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13790,plain,
% 6.67/4.89 (v115(constB113)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13789, 13788, 13786])).
% 6.67/4.89 tff(13791,plain,
% 6.67/4.89 ((v115(constB113) | v124(constB113)) | (~v115(constB113))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13792,plain,
% 6.67/4.89 (v115(constB113) | v124(constB113)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13791, 13790])).
% 6.67/4.89 tff(13793,plain,
% 6.67/4.89 ((~(v114(constB113) <=> (v115(constB113) | v124(constB113)))) | v114(constB113) | (~(v115(constB113) | v124(constB113)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13794,plain,
% 6.67/4.89 (v114(constB113)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13793, 13792, 13784])).
% 6.67/4.89 tff(13795,plain,
% 6.67/4.89 ((v114(constB113) | v125(constB113)) | (~v114(constB113))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13796,plain,
% 6.67/4.89 (v114(constB113) | v125(constB113)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13795, 13794])).
% 6.67/4.89 tff(13797,plain,
% 6.67/4.89 ((~(v113(constB113) <=> (v114(constB113) | v125(constB113)))) | v113(constB113) | (~(v114(constB113) | v125(constB113)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13798,plain,
% 6.67/4.89 (v113(constB113)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13797, 13796, 13782])).
% 6.67/4.89 tff(13799,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB113)) <=> v111(constB113))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13800,plain,
% 6.67/4.89 ((~v126(constB113)) <=> v111(constB113)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13799, 4761])).
% 6.67/4.89 tff(13801,plain,
% 6.67/4.89 ((~((~v126(constB113)) <=> v111(constB113))) | v126(constB113) | v111(constB113)),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13802,plain,
% 6.67/4.89 ((~((~v126(constB113)) <=> v111(constB113))) | v126(constB113)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13801, 904])).
% 6.67/4.89 tff(13803,plain,
% 6.67/4.89 (v126(constB113)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13802, 13800])).
% 6.67/4.89 tff(13804,plain,
% 6.67/4.89 ((~((~v113(constB113)) | (~v126(constB113)))) | (~v113(constB113)) | (~v126(constB113))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13805,plain,
% 6.67/4.89 ((~((~v113(constB113)) | (~v126(constB113)))) | (~v113(constB113))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13804, 13803])).
% 6.67/4.89 tff(13806,plain,
% 6.67/4.89 (~((~v113(constB113)) | (~v126(constB113)))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13805, 13798])).
% 6.67/4.89 tff(13807,plain,
% 6.67/4.89 ((~(v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113)))))) | v112(constB113) | ((~v113(constB113)) | (~v126(constB113)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13808,plain,
% 6.67/4.89 (v112(constB113)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13807, 13806, 13780])).
% 6.67/4.89 tff(13809,plain,
% 6.67/4.89 ((v111(constB113) | v112(constB113)) | (~v112(constB113))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13810,plain,
% 6.67/4.89 (v111(constB113) | v112(constB113)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13809, 13808])).
% 6.67/4.89 tff(13811,plain,
% 6.67/4.89 ((~(v108(constB113) <=> (v111(constB113) | v112(constB113)))) | v108(constB113) | (~(v111(constB113) | v112(constB113)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13812,plain,
% 6.67/4.89 (v108(constB113)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13811, 13810, 13778])).
% 6.67/4.89 tff(13813,plain,
% 6.67/4.89 ((~(v110(constB114) <=> v108(constB113))) | v110(constB114) | (~v108(constB113))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13814,plain,
% 6.67/4.89 (v110(constB114)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13813, 13812, 13776])).
% 6.67/4.89 tff(13815,plain,
% 6.67/4.89 ((~((~v101(constB114)) | (~v110(constB114)))) | (~v101(constB114)) | (~v110(constB114))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13816,plain,
% 6.67/4.89 (~((~v101(constB114)) | (~v110(constB114)))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13815, 13814, 13772])).
% 6.67/4.89 tff(13817,plain,
% 6.67/4.89 ((~(v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114)))))) | v100(constB114) | ((~v101(constB114)) | (~v110(constB114)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13818,plain,
% 6.67/4.89 (v100(constB114)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13817, 13816, 13747])).
% 6.67/4.89 tff(13819,plain,
% 6.67/4.89 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB114)) | (~(((~v90(constB114, 0)) <=> v129(constB114, 0)) | ((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB114)) | (~(((~v90(constB114, 0)) <=> v129(constB114, 0)) | ((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1)))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13820,plain,
% 6.67/4.89 (((~v100(constB114)) | (~(((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1)) | ((~v90(constB114, 0)) <=> v129(constB114, 0))))) <=> ((~v100(constB114)) | (~(((~v90(constB114, 0)) <=> v129(constB114, 0)) | ((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1)))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13821,plain,
% 6.67/4.89 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB114)) | (~(((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1)) | ((~v90(constB114, 0)) <=> v129(constB114, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB114)) | (~(((~v90(constB114, 0)) <=> v129(constB114, 0)) | ((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1))))))),
% 6.67/4.89 inference(monotonicity,[status(thm)],[13820])).
% 6.67/4.89 tff(13822,plain,
% 6.67/4.89 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB114)) | (~(((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1)) | ((~v90(constB114, 0)) <=> v129(constB114, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB114)) | (~(((~v90(constB114, 0)) <=> v129(constB114, 0)) | ((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1)))))),
% 6.67/4.89 inference(transitivity,[status(thm)],[13821, 13819])).
% 6.67/4.89 tff(13823,plain,
% 6.67/4.89 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB114)) | (~(((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1)) | ((~v90(constB114, 0)) <=> v129(constB114, 0)))))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13824,plain,
% 6.67/4.89 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB114)) | (~(((~v90(constB114, 0)) <=> v129(constB114, 0)) | ((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1))))),
% 6.67/4.89 inference(modus_ponens,[status(thm)],[13823, 13822])).
% 6.67/4.89 tff(13825,plain,
% 6.67/4.89 ((~v100(constB114)) | (~(((~v90(constB114, 0)) <=> v129(constB114, 0)) | ((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1))))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13824, 4794])).
% 6.67/4.89 tff(13826,plain,
% 6.67/4.89 (~(((~v90(constB114, 0)) <=> v129(constB114, 0)) | ((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1)))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13825, 13818])).
% 6.67/4.89 tff(13827,plain,
% 6.67/4.89 ((((~v90(constB114, 0)) <=> v129(constB114, 0)) | ((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1))) | (~((~v90(constB114, 0)) <=> v129(constB114, 0)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13828,plain,
% 6.67/4.89 (~((~v90(constB114, 0)) <=> v129(constB114, 0))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13827, 13826])).
% 6.67/4.89 tff(13829,plain,
% 6.67/4.89 (((~v90(constB114, 0)) <=> v129(constB114, 0)) | (~v90(constB114, 0)) | v129(constB114, 0)),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13830,plain,
% 6.67/4.89 (~v90(constB114, 0)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13829, 13828, 13743])).
% 6.67/4.89 tff(13831,plain,
% 6.67/4.89 (((~v90(constB115, 0)) <=> v90(constB114, 0)) | (~v90(constB115, 0)) | v90(constB114, 0)),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13832,plain,
% 6.67/4.89 (~v90(constB115, 0)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13831, 13830, 888])).
% 6.67/4.89 tff(13833,plain,
% 6.67/4.89 ((v90(constB115, 1) | v90(constB115, 2) | (~v90(constB115, 0))) | v90(constB115, 0)),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13834,plain,
% 6.67/4.89 (v90(constB115, 1) | v90(constB115, 2) | (~v90(constB115, 0))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13833, 13832])).
% 6.67/4.89 tff(13835,plain,
% 6.67/4.89 ((~(v120(constB115) <=> (~(v90(constB115, 1) | v90(constB115, 2) | (~v90(constB115, 0)))))) | (~v120(constB115)) | (~(v90(constB115, 1) | v90(constB115, 2) | (~v90(constB115, 0))))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13836,plain,
% 6.67/4.89 (~v120(constB115)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13835, 13834, 852])).
% 6.67/4.89 tff(13837,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB115) <=> (~(v90(constB115, 1) | (~v90(constB115, 2)) | (~v90(constB115, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB115) <=> (~(v90(constB115, 1) | (~v90(constB115, 2)) | (~v90(constB115, 0))))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13838,plain,
% 6.67/4.89 ((v124(constB115) <=> (~(v90(constB115, 1) | (~v90(constB115, 0)) | (~v90(constB115, 2))))) <=> (v124(constB115) <=> (~(v90(constB115, 1) | (~v90(constB115, 2)) | (~v90(constB115, 0)))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13839,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB115) <=> (~(v90(constB115, 1) | (~v90(constB115, 0)) | (~v90(constB115, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB115) <=> (~(v90(constB115, 1) | (~v90(constB115, 2)) | (~v90(constB115, 0))))))),
% 6.67/4.89 inference(monotonicity,[status(thm)],[13838])).
% 6.67/4.89 tff(13840,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB115) <=> (~(v90(constB115, 1) | (~v90(constB115, 0)) | (~v90(constB115, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB115) <=> (~(v90(constB115, 1) | (~v90(constB115, 2)) | (~v90(constB115, 0))))))),
% 6.67/4.89 inference(transitivity,[status(thm)],[13839, 13837])).
% 6.67/4.89 tff(13841,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB115) <=> (~(v90(constB115, 1) | (~v90(constB115, 0)) | (~v90(constB115, 2)))))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13842,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB115) <=> (~(v90(constB115, 1) | (~v90(constB115, 2)) | (~v90(constB115, 0)))))),
% 6.67/4.89 inference(modus_ponens,[status(thm)],[13841, 13840])).
% 6.67/4.89 tff(13843,plain,
% 6.67/4.89 (v124(constB115) <=> (~(v90(constB115, 1) | (~v90(constB115, 2)) | (~v90(constB115, 0))))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13842, 4978])).
% 6.67/4.89 tff(13844,plain,
% 6.67/4.89 ((v90(constB115, 1) | (~v90(constB115, 2)) | (~v90(constB115, 0))) | v90(constB115, 0)),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13845,plain,
% 6.67/4.89 (v90(constB115, 1) | (~v90(constB115, 2)) | (~v90(constB115, 0))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13844, 13832])).
% 6.67/4.89 tff(13846,plain,
% 6.67/4.89 ((~(v124(constB115) <=> (~(v90(constB115, 1) | (~v90(constB115, 2)) | (~v90(constB115, 0)))))) | (~v124(constB115)) | (~(v90(constB115, 1) | (~v90(constB115, 2)) | (~v90(constB115, 0))))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13847,plain,
% 6.67/4.89 (~v124(constB115)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13846, 13845, 13843])).
% 6.67/4.89 tff(13848,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB115) <=> (~(v90(constB115, 1) | v90(constB115, 0) | (~v90(constB115, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB115) <=> (~(v90(constB115, 1) | v90(constB115, 0) | (~v90(constB115, 2))))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13849,plain,
% 6.67/4.89 ((v123(constB115) <=> (~(v90(constB115, 0) | v90(constB115, 1) | (~v90(constB115, 2))))) <=> (v123(constB115) <=> (~(v90(constB115, 1) | v90(constB115, 0) | (~v90(constB115, 2)))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13850,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB115) <=> (~(v90(constB115, 0) | v90(constB115, 1) | (~v90(constB115, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB115) <=> (~(v90(constB115, 1) | v90(constB115, 0) | (~v90(constB115, 2))))))),
% 6.67/4.89 inference(monotonicity,[status(thm)],[13849])).
% 6.67/4.89 tff(13851,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB115) <=> (~(v90(constB115, 0) | v90(constB115, 1) | (~v90(constB115, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB115) <=> (~(v90(constB115, 1) | v90(constB115, 0) | (~v90(constB115, 2))))))),
% 6.67/4.89 inference(transitivity,[status(thm)],[13850, 13848])).
% 6.67/4.89 tff(13852,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB115) <=> (~(v90(constB115, 0) | v90(constB115, 1) | (~v90(constB115, 2)))))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13853,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB115) <=> (~(v90(constB115, 1) | v90(constB115, 0) | (~v90(constB115, 2)))))),
% 6.67/4.89 inference(modus_ponens,[status(thm)],[13852, 13851])).
% 6.67/4.89 tff(13854,plain,
% 6.67/4.89 (v123(constB115) <=> (~(v90(constB115, 1) | v90(constB115, 0) | (~v90(constB115, 2))))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13853, 565])).
% 6.67/4.89 tff(13855,plain,
% 6.67/4.89 ((((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 0)) <=> v90(constB114, 0))) | (~((~v90(constB115, 1)) <=> v90(constB114, 1)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13856,plain,
% 6.67/4.89 (~((~v90(constB115, 1)) <=> v90(constB114, 1))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13855, 886])).
% 6.67/4.89 tff(13857,plain,
% 6.67/4.89 ((((~v129(constB114, 2)) <=> v127(constB113, 2)) | ((~v129(constB114, 1)) <=> v127(constB113, 1)) | ((~v129(constB114, 0)) <=> v127(constB113, 0))) | (~((~v129(constB114, 1)) <=> v127(constB113, 1)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13858,plain,
% 6.67/4.89 (~((~v129(constB114, 1)) <=> v127(constB113, 1))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13857, 895])).
% 6.67/4.89 tff(13859,plain,
% 6.67/4.89 ((((~v127(constB113, 2)) <=> v130(constB113, 2)) | ((~v127(constB113, 1)) <=> v130(constB113, 1)) | ((~v127(constB113, 0)) <=> v130(constB113, 0))) | (~((~v127(constB113, 1)) <=> v130(constB113, 1)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13860,plain,
% 6.67/4.89 (~((~v127(constB113, 1)) <=> v130(constB113, 1))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13859, 909])).
% 6.67/4.89 tff(13861,plain,
% 6.67/4.89 ((v130(constB113, 0) | (~v130(constB113, 2)) | (~v130(constB113, 1))) | v130(constB113, 1)),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13862,plain,
% 6.67/4.89 (v130(constB113, 1)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13861, 13737])).
% 6.67/4.89 tff(13863,plain,
% 6.67/4.89 (((~v127(constB113, 1)) <=> v130(constB113, 1)) | v127(constB113, 1) | (~v130(constB113, 1))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13864,plain,
% 6.67/4.89 (v127(constB113, 1)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13863, 13862, 13860])).
% 6.67/4.89 tff(13865,plain,
% 6.67/4.89 (((~v129(constB114, 1)) <=> v127(constB113, 1)) | v129(constB114, 1) | (~v127(constB113, 1))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13866,plain,
% 6.67/4.89 (v129(constB114, 1)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13865, 13864, 13858])).
% 6.67/4.89 tff(13867,plain,
% 6.67/4.89 ((((~v90(constB114, 0)) <=> v129(constB114, 0)) | ((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1))) | (~((~v90(constB114, 1)) <=> v129(constB114, 1)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13868,plain,
% 6.67/4.89 (~((~v90(constB114, 1)) <=> v129(constB114, 1))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13867, 13826])).
% 6.67/4.89 tff(13869,plain,
% 6.67/4.89 (((~v90(constB114, 1)) <=> v129(constB114, 1)) | v90(constB114, 1) | (~v129(constB114, 1))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13870,plain,
% 6.67/4.89 (v90(constB114, 1)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13869, 13868, 13866])).
% 6.67/4.89 tff(13871,plain,
% 6.67/4.89 (((~v90(constB115, 1)) <=> v90(constB114, 1)) | v90(constB115, 1) | (~v90(constB114, 1))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13872,plain,
% 6.67/4.89 (v90(constB115, 1)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13871, 13870, 13856])).
% 6.67/4.89 tff(13873,plain,
% 6.67/4.89 ((v90(constB115, 1) | v90(constB115, 0) | (~v90(constB115, 2))) | (~v90(constB115, 1))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13874,plain,
% 6.67/4.89 (v90(constB115, 1) | v90(constB115, 0) | (~v90(constB115, 2))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13873, 13872])).
% 6.67/4.89 tff(13875,plain,
% 6.67/4.89 ((~(v123(constB115) <=> (~(v90(constB115, 1) | v90(constB115, 0) | (~v90(constB115, 2)))))) | (~v123(constB115)) | (~(v90(constB115, 1) | v90(constB115, 0) | (~v90(constB115, 2))))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13876,plain,
% 6.67/4.89 (~v123(constB115)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13875, 13874, 13854])).
% 6.67/4.89 tff(13877,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB115) <=> (~(v90(constB115, 2) | (~v90(constB115, 1)) | (~v90(constB115, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB115) <=> (~(v90(constB115, 2) | (~v90(constB115, 1)) | (~v90(constB115, 0))))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13878,plain,
% 6.67/4.89 ((v122(constB115) <=> (~(v90(constB115, 2) | (~v90(constB115, 0)) | (~v90(constB115, 1))))) <=> (v122(constB115) <=> (~(v90(constB115, 2) | (~v90(constB115, 1)) | (~v90(constB115, 0)))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13879,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB115) <=> (~(v90(constB115, 2) | (~v90(constB115, 0)) | (~v90(constB115, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB115) <=> (~(v90(constB115, 2) | (~v90(constB115, 1)) | (~v90(constB115, 0))))))),
% 6.67/4.89 inference(monotonicity,[status(thm)],[13878])).
% 6.67/4.89 tff(13880,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB115) <=> (~(v90(constB115, 2) | (~v90(constB115, 0)) | (~v90(constB115, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB115) <=> (~(v90(constB115, 2) | (~v90(constB115, 1)) | (~v90(constB115, 0))))))),
% 6.67/4.89 inference(transitivity,[status(thm)],[13879, 13877])).
% 6.67/4.89 tff(13881,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB115) <=> (~(v90(constB115, 2) | (~v90(constB115, 0)) | (~v90(constB115, 1)))))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13882,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB115) <=> (~(v90(constB115, 2) | (~v90(constB115, 1)) | (~v90(constB115, 0)))))),
% 6.67/4.89 inference(modus_ponens,[status(thm)],[13881, 13880])).
% 6.67/4.89 tff(13883,plain,
% 6.67/4.89 (v122(constB115) <=> (~(v90(constB115, 2) | (~v90(constB115, 1)) | (~v90(constB115, 0))))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13882, 644])).
% 6.67/4.89 tff(13884,plain,
% 6.67/4.89 ((v90(constB115, 2) | (~v90(constB115, 1)) | (~v90(constB115, 0))) | v90(constB115, 0)),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13885,plain,
% 6.67/4.89 (v90(constB115, 2) | (~v90(constB115, 1)) | (~v90(constB115, 0))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13884, 13832])).
% 6.67/4.89 tff(13886,plain,
% 6.67/4.89 ((~(v122(constB115) <=> (~(v90(constB115, 2) | (~v90(constB115, 1)) | (~v90(constB115, 0)))))) | (~v122(constB115)) | (~(v90(constB115, 2) | (~v90(constB115, 1)) | (~v90(constB115, 0))))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13887,plain,
% 6.67/4.89 (~v122(constB115)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13886, 13885, 13883])).
% 6.67/4.89 tff(13888,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB115) <=> (~(v90(constB115, 2) | v90(constB115, 0) | (~v90(constB115, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB115) <=> (~(v90(constB115, 2) | v90(constB115, 0) | (~v90(constB115, 1))))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13889,plain,
% 6.67/4.89 ((v121(constB115) <=> (~(v90(constB115, 0) | v90(constB115, 2) | (~v90(constB115, 1))))) <=> (v121(constB115) <=> (~(v90(constB115, 2) | v90(constB115, 0) | (~v90(constB115, 1)))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13890,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB115) <=> (~(v90(constB115, 0) | v90(constB115, 2) | (~v90(constB115, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB115) <=> (~(v90(constB115, 2) | v90(constB115, 0) | (~v90(constB115, 1))))))),
% 6.67/4.89 inference(monotonicity,[status(thm)],[13889])).
% 6.67/4.89 tff(13891,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB115) <=> (~(v90(constB115, 0) | v90(constB115, 2) | (~v90(constB115, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB115) <=> (~(v90(constB115, 2) | v90(constB115, 0) | (~v90(constB115, 1))))))),
% 6.67/4.89 inference(transitivity,[status(thm)],[13890, 13888])).
% 6.67/4.89 tff(13892,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB115) <=> (~(v90(constB115, 0) | v90(constB115, 2) | (~v90(constB115, 1)))))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13893,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB115) <=> (~(v90(constB115, 2) | v90(constB115, 0) | (~v90(constB115, 1)))))),
% 6.67/4.89 inference(modus_ponens,[status(thm)],[13892, 13891])).
% 6.67/4.89 tff(13894,plain,
% 6.67/4.89 (v121(constB115) <=> (~(v90(constB115, 2) | v90(constB115, 0) | (~v90(constB115, 1))))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13893, 723])).
% 6.67/4.89 tff(13895,plain,
% 6.67/4.89 ((((~v90(constB115, 1)) <=> v90(constB114, 1)) | ((~v90(constB115, 2)) <=> v90(constB114, 2)) | ((~v90(constB115, 0)) <=> v90(constB114, 0))) | (~((~v90(constB115, 2)) <=> v90(constB114, 2)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13896,plain,
% 6.67/4.89 (~((~v90(constB115, 2)) <=> v90(constB114, 2))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13895, 886])).
% 6.67/4.89 tff(13897,plain,
% 6.67/4.89 ((((~v129(constB114, 2)) <=> v127(constB113, 2)) | ((~v129(constB114, 1)) <=> v127(constB113, 1)) | ((~v129(constB114, 0)) <=> v127(constB113, 0))) | (~((~v129(constB114, 2)) <=> v127(constB113, 2)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13898,plain,
% 6.67/4.89 (~((~v129(constB114, 2)) <=> v127(constB113, 2))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13897, 895])).
% 6.67/4.89 tff(13899,plain,
% 6.67/4.89 ((((~v127(constB113, 2)) <=> v130(constB113, 2)) | ((~v127(constB113, 1)) <=> v130(constB113, 1)) | ((~v127(constB113, 0)) <=> v130(constB113, 0))) | (~((~v127(constB113, 2)) <=> v130(constB113, 2)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13900,plain,
% 6.67/4.89 (~((~v127(constB113, 2)) <=> v130(constB113, 2))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13899, 909])).
% 6.67/4.89 tff(13901,plain,
% 6.67/4.89 ((v130(constB113, 0) | (~v130(constB113, 2)) | (~v130(constB113, 1))) | v130(constB113, 2)),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13902,plain,
% 6.67/4.89 (v130(constB113, 2)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13901, 13737])).
% 6.67/4.89 tff(13903,plain,
% 6.67/4.89 (((~v127(constB113, 2)) <=> v130(constB113, 2)) | v127(constB113, 2) | (~v130(constB113, 2))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13904,plain,
% 6.67/4.89 (v127(constB113, 2)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13903, 13902, 13900])).
% 6.67/4.89 tff(13905,plain,
% 6.67/4.89 (((~v129(constB114, 2)) <=> v127(constB113, 2)) | v129(constB114, 2) | (~v127(constB113, 2))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13906,plain,
% 6.67/4.89 (v129(constB114, 2)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13905, 13904, 13898])).
% 6.67/4.89 tff(13907,plain,
% 6.67/4.89 ((((~v90(constB114, 0)) <=> v129(constB114, 0)) | ((~v90(constB114, 2)) <=> v129(constB114, 2)) | ((~v90(constB114, 1)) <=> v129(constB114, 1))) | (~((~v90(constB114, 2)) <=> v129(constB114, 2)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13908,plain,
% 6.67/4.89 (~((~v90(constB114, 2)) <=> v129(constB114, 2))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13907, 13826])).
% 6.67/4.89 tff(13909,plain,
% 6.67/4.89 (((~v90(constB114, 2)) <=> v129(constB114, 2)) | v90(constB114, 2) | (~v129(constB114, 2))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13910,plain,
% 6.67/4.89 (v90(constB114, 2)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13909, 13908, 13906])).
% 6.67/4.89 tff(13911,plain,
% 6.67/4.89 (((~v90(constB115, 2)) <=> v90(constB114, 2)) | v90(constB115, 2) | (~v90(constB114, 2))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13912,plain,
% 6.67/4.89 (v90(constB115, 2)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13911, 13910, 13896])).
% 6.67/4.89 tff(13913,plain,
% 6.67/4.89 ((v90(constB115, 2) | v90(constB115, 0) | (~v90(constB115, 1))) | (~v90(constB115, 2))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13914,plain,
% 6.67/4.89 (v90(constB115, 2) | v90(constB115, 0) | (~v90(constB115, 1))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13913, 13912])).
% 6.67/4.89 tff(13915,plain,
% 6.67/4.89 ((~(v121(constB115) <=> (~(v90(constB115, 2) | v90(constB115, 0) | (~v90(constB115, 1)))))) | (~v121(constB115)) | (~(v90(constB115, 2) | v90(constB115, 0) | (~v90(constB115, 1))))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13916,plain,
% 6.67/4.89 (~v121(constB115)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13915, 13914, 13894])).
% 6.67/4.89 tff(13917,plain,
% 6.67/4.89 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB115) <=> (~(v90(constB115, 0) | v90(constB115, 1) | v90(constB115, 2))))),
% 6.67/4.89 inference(quant_inst,[status(thm)],[])).
% 6.67/4.89 tff(13918,plain,
% 6.67/4.89 (v119(constB115) <=> (~(v90(constB115, 0) | v90(constB115, 1) | v90(constB115, 2)))),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13917, 491])).
% 6.67/4.89 tff(13919,plain,
% 6.67/4.89 ((v90(constB115, 0) | v90(constB115, 1) | v90(constB115, 2)) | (~v90(constB115, 2))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13920,plain,
% 6.67/4.89 (v90(constB115, 0) | v90(constB115, 1) | v90(constB115, 2)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13919, 13912])).
% 6.67/4.89 tff(13921,plain,
% 6.67/4.89 ((~(v119(constB115) <=> (~(v90(constB115, 0) | v90(constB115, 1) | v90(constB115, 2))))) | (~v119(constB115)) | (~(v90(constB115, 0) | v90(constB115, 1) | v90(constB115, 2)))),
% 6.67/4.89 inference(tautology,[status(thm)],[])).
% 6.67/4.89 tff(13922,plain,
% 6.67/4.89 (~v119(constB115)),
% 6.67/4.89 inference(unit_resolution,[status(thm)],[13921, 13920, 13918])).
% 6.67/4.89 tff(13923,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0)))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13924,plain,
% 6.67/4.89 ((v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~(v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0))))) <=> (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0)))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13925,plain,
% 6.67/4.89 ((~(v130(constB115, 1) | v130(constB115, 2) | (~v130(constB115, 0)))) <=> (~(v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0))))),
% 6.67/4.89 inference(rewrite,[status(thm)],[])).
% 6.67/4.89 tff(13926,plain,
% 6.67/4.89 ((v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~(v130(constB115, 1) | v130(constB115, 2) | (~v130(constB115, 0))))) <=> (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~(v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0)))))),
% 6.67/4.89 inference(monotonicity,[status(thm)],[13925])).
% 6.67/4.89 tff(13927,plain,
% 6.67/4.89 ((v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~(v130(constB115, 1) | v130(constB115, 2) | (~v130(constB115, 0))))) <=> (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0)))))),
% 6.67/4.89 inference(transitivity,[status(thm)],[13926, 13924])).
% 6.67/4.89 tff(13928,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~(v130(constB115, 1) | v130(constB115, 2) | (~v130(constB115, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0))))))),
% 6.67/4.89 inference(monotonicity,[status(thm)],[13927])).
% 6.67/4.89 tff(13929,plain,
% 6.67/4.89 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~(v130(constB115, 1) | v130(constB115, 2) | (~v130(constB115, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0)))))),
% 6.67/4.90 inference(transitivity,[status(thm)],[13928, 13923])).
% 6.67/4.90 tff(13930,plain,
% 6.67/4.90 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~(v130(constB115, 1) | v130(constB115, 2) | (~v130(constB115, 0)))))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(13931,plain,
% 6.67/4.90 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0))))),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[13930, 13929])).
% 6.67/4.90 tff(13932,plain,
% 6.67/4.90 (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0))))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13931, 5059])).
% 6.67/4.90 tff(13933,plain,
% 6.67/4.90 (~(v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0)))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13932, 13922, 13916, 13887, 13876, 13847, 13836])).
% 6.67/4.90 tff(13934,plain,
% 6.67/4.90 ((v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0))) | (~v130(constB115, 2))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(13935,plain,
% 6.67/4.90 (~v130(constB115, 2)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13934, 13933])).
% 6.67/4.90 tff(13936,plain,
% 6.67/4.90 (((~v127(constB115, 2)) <=> v130(constB115, 2)) | (~v127(constB115, 2)) | v130(constB115, 2)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(13937,plain,
% 6.67/4.90 (~v127(constB115, 2)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13936, 13935, 850])).
% 6.67/4.90 tff(13938,plain,
% 6.67/4.90 (((~v129(constB116, 2)) <=> v127(constB115, 2)) | (~v129(constB116, 2)) | v127(constB115, 2)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(13939,plain,
% 6.67/4.90 (~v129(constB116, 2)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13938, 13937, 836])).
% 6.67/4.90 tff(13940,plain,
% 6.67/4.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(13941,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(13942,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116)))))),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[13941, 13940])).
% 6.67/4.90 tff(13943,plain,
% 6.67/4.90 (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13942, 830, 273])).
% 6.67/4.90 tff(13944,plain,
% 6.67/4.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(13945,plain,
% 6.67/4.90 (((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116)))))) <=> ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(13946,plain,
% 6.67/4.90 (((~![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) <=> (~((~v1(constB116)) | (~v102(constB116)))))))),
% 6.67/4.90 inference(monotonicity,[status(thm)],[13945])).
% 6.67/4.90 tff(13947,plain,
% 6.67/4.90 (((~![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) <=> (~((~v1(constB116)) | (~v102(constB116))))))),
% 6.67/4.90 inference(transitivity,[status(thm)],[13946, 13944])).
% 6.67/4.90 tff(13948,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116))))))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(13949,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116)))))),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[13948, 13947])).
% 6.67/4.90 tff(13950,plain,
% 6.67/4.90 (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13949, 830, 293])).
% 6.67/4.90 tff(13951,plain,
% 6.67/4.90 (((~![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)))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(13952,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116)))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(13953,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116))),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[13952, 13951])).
% 6.67/4.90 tff(13954,plain,
% 6.67/4.90 ((~v102(constB116)) <=> v104(constB116)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13953, 830, 4609])).
% 6.67/4.90 tff(13955,plain,
% 6.67/4.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115)))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(13956,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115)))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(13957,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115))),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[13956, 13955])).
% 6.67/4.90 tff(13958,plain,
% 6.67/4.90 (v104(constB116) <=> v1(constB115)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13957, 830, 4623])).
% 6.67/4.90 tff(13959,plain,
% 6.67/4.90 ((~(v104(constB116) <=> v1(constB115))) | (~v104(constB116)) | v1(constB115)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(13960,plain,
% 6.67/4.90 ((~(v104(constB116) <=> v1(constB115))) | (~v104(constB116))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13959, 869])).
% 6.67/4.90 tff(13961,plain,
% 6.67/4.90 (~v104(constB116)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13960, 13958])).
% 6.67/4.90 tff(13962,plain,
% 6.67/4.90 ((~((~v102(constB116)) <=> v104(constB116))) | v102(constB116) | v104(constB116)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(13963,plain,
% 6.67/4.90 (v102(constB116)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13962, 13961, 13954])).
% 6.67/4.90 tff(13964,plain,
% 6.67/4.90 (v1(constB116) <=> v1(constB116)),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(13965,axiom,(v1(constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_116')).
% 6.67/4.90 tff(13966,plain,
% 6.67/4.90 (v1(constB116)),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[13965, 13964])).
% 6.67/4.90 tff(13967,plain,
% 6.67/4.90 ((~((~v1(constB116)) | (~v102(constB116)))) | (~v1(constB116)) | (~v102(constB116))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(13968,plain,
% 6.67/4.90 ((~((~v1(constB116)) | (~v102(constB116)))) | (~v102(constB116))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13967, 13966])).
% 6.67/4.90 tff(13969,plain,
% 6.67/4.90 (~((~v1(constB116)) | (~v102(constB116)))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13968, 13963])).
% 6.67/4.90 tff(13970,plain,
% 6.67/4.90 ((~(v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116)))))) | v101(constB116) | ((~v1(constB116)) | (~v102(constB116)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(13971,plain,
% 6.67/4.90 (v101(constB116)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13970, 13969, 13950])).
% 6.67/4.90 tff(13972,plain,
% 6.67/4.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115)))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(13973,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115)))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(13974,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115))),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[13973, 13972])).
% 6.67/4.90 tff(13975,plain,
% 6.67/4.90 (v110(constB116) <=> v108(constB115)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13974, 830, 4650])).
% 6.67/4.90 tff(13976,plain,
% 6.67/4.90 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB115) <=> (v111(constB115) | v112(constB115)))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(13977,plain,
% 6.67/4.90 (v108(constB115) <=> (v111(constB115) | v112(constB115))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13976, 4661])).
% 6.67/4.90 tff(13978,plain,
% 6.67/4.90 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115)))))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(13979,plain,
% 6.67/4.90 (v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115))))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13978, 4673])).
% 6.67/4.90 tff(13980,plain,
% 6.67/4.90 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB115) <=> (v114(constB115) | v125(constB115)))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(13981,plain,
% 6.67/4.90 (v113(constB115) <=> (v114(constB115) | v125(constB115))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13980, 4682])).
% 6.67/4.90 tff(13982,plain,
% 6.67/4.90 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB115) <=> (~(v90(constB115, 0) | (~v90(constB115, 1)) | (~v90(constB115, 2)))))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(13983,plain,
% 6.67/4.90 (v125(constB115) <=> (~(v90(constB115, 0) | (~v90(constB115, 1)) | (~v90(constB115, 2))))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13982, 5131])).
% 6.67/4.90 tff(13984,plain,
% 6.67/4.90 ((~(v90(constB115, 0) | (~v90(constB115, 1)) | (~v90(constB115, 2)))) | v90(constB115, 0) | (~v90(constB115, 1)) | (~v90(constB115, 2))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(13985,plain,
% 6.67/4.90 (~(v90(constB115, 0) | (~v90(constB115, 1)) | (~v90(constB115, 2)))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13984, 13872, 13832, 13912])).
% 6.67/4.90 tff(13986,plain,
% 6.67/4.90 ((~(v125(constB115) <=> (~(v90(constB115, 0) | (~v90(constB115, 1)) | (~v90(constB115, 2)))))) | v125(constB115) | (v90(constB115, 0) | (~v90(constB115, 1)) | (~v90(constB115, 2)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(13987,plain,
% 6.67/4.90 (v125(constB115)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13986, 13985, 13983])).
% 6.67/4.90 tff(13988,plain,
% 6.67/4.90 ((v114(constB115) | v125(constB115)) | (~v125(constB115))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(13989,plain,
% 6.67/4.90 (v114(constB115) | v125(constB115)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13988, 13987])).
% 6.67/4.90 tff(13990,plain,
% 6.67/4.90 ((~(v113(constB115) <=> (v114(constB115) | v125(constB115)))) | v113(constB115) | (~(v114(constB115) | v125(constB115)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(13991,plain,
% 6.67/4.90 (v113(constB115)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13990, 13989, 13981])).
% 6.67/4.90 tff(13992,plain,
% 6.67/4.90 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB115)) <=> v111(constB115))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(13993,plain,
% 6.67/4.90 ((~v126(constB115)) <=> v111(constB115)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13992, 4761])).
% 6.67/4.90 tff(13994,plain,
% 6.67/4.90 ((~((~v126(constB115)) <=> v111(constB115))) | v126(constB115) | v111(constB115)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(13995,plain,
% 6.67/4.90 ((~((~v126(constB115)) <=> v111(constB115))) | v126(constB115)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13994, 843])).
% 6.67/4.90 tff(13996,plain,
% 6.67/4.90 (v126(constB115)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13995, 13993])).
% 6.67/4.90 tff(13997,plain,
% 6.67/4.90 ((~((~v113(constB115)) | (~v126(constB115)))) | (~v113(constB115)) | (~v126(constB115))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(13998,plain,
% 6.67/4.90 ((~((~v113(constB115)) | (~v126(constB115)))) | (~v113(constB115))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13997, 13996])).
% 6.67/4.90 tff(13999,plain,
% 6.67/4.90 (~((~v113(constB115)) | (~v126(constB115)))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[13998, 13991])).
% 6.67/4.90 tff(14000,plain,
% 6.67/4.90 ((~(v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115)))))) | v112(constB115) | ((~v113(constB115)) | (~v126(constB115)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14001,plain,
% 6.67/4.90 (v112(constB115)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14000, 13999, 13979])).
% 6.67/4.90 tff(14002,plain,
% 6.67/4.90 ((v111(constB115) | v112(constB115)) | (~v112(constB115))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14003,plain,
% 6.67/4.90 (v111(constB115) | v112(constB115)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14002, 14001])).
% 6.67/4.90 tff(14004,plain,
% 6.67/4.90 ((~(v108(constB115) <=> (v111(constB115) | v112(constB115)))) | v108(constB115) | (~(v111(constB115) | v112(constB115)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14005,plain,
% 6.67/4.90 (v108(constB115)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14004, 14003, 13977])).
% 6.67/4.90 tff(14006,plain,
% 6.67/4.90 ((~(v110(constB116) <=> v108(constB115))) | v110(constB116) | (~v108(constB115))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14007,plain,
% 6.67/4.90 (v110(constB116)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14006, 14005, 13975])).
% 6.67/4.90 tff(14008,plain,
% 6.67/4.90 ((~((~v101(constB116)) | (~v110(constB116)))) | (~v101(constB116)) | (~v110(constB116))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14009,plain,
% 6.67/4.90 (~((~v101(constB116)) | (~v110(constB116)))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14008, 14007, 13971])).
% 6.67/4.90 tff(14010,plain,
% 6.67/4.90 ((~(v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116)))))) | v100(constB116) | ((~v101(constB116)) | (~v110(constB116)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14011,plain,
% 6.67/4.90 (v100(constB116)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14010, 14009, 13943])).
% 6.67/4.90 tff(14012,plain,
% 6.67/4.90 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB116)) | (~(((~v90(constB116, 2)) <=> v129(constB116, 2)) | ((~v90(constB116, 1)) <=> v129(constB116, 1)) | ((~v90(constB116, 0)) <=> v129(constB116, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB116)) | (~(((~v90(constB116, 2)) <=> v129(constB116, 2)) | ((~v90(constB116, 1)) <=> v129(constB116, 1)) | ((~v90(constB116, 0)) <=> v129(constB116, 0)))))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(14013,plain,
% 6.67/4.90 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB116)) | (~(((~v90(constB116, 2)) <=> v129(constB116, 2)) | ((~v90(constB116, 1)) <=> v129(constB116, 1)) | ((~v90(constB116, 0)) <=> v129(constB116, 0)))))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(14014,plain,
% 6.67/4.90 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB116)) | (~(((~v90(constB116, 2)) <=> v129(constB116, 2)) | ((~v90(constB116, 1)) <=> v129(constB116, 1)) | ((~v90(constB116, 0)) <=> v129(constB116, 0))))),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[14013, 14012])).
% 6.67/4.90 tff(14015,plain,
% 6.67/4.90 ((~v100(constB116)) | (~(((~v90(constB116, 2)) <=> v129(constB116, 2)) | ((~v90(constB116, 1)) <=> v129(constB116, 1)) | ((~v90(constB116, 0)) <=> v129(constB116, 0))))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14014, 4794])).
% 6.67/4.90 tff(14016,plain,
% 6.67/4.90 (~(((~v90(constB116, 2)) <=> v129(constB116, 2)) | ((~v90(constB116, 1)) <=> v129(constB116, 1)) | ((~v90(constB116, 0)) <=> v129(constB116, 0)))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14015, 14011])).
% 6.67/4.90 tff(14017,plain,
% 6.67/4.90 ((((~v90(constB116, 2)) <=> v129(constB116, 2)) | ((~v90(constB116, 1)) <=> v129(constB116, 1)) | ((~v90(constB116, 0)) <=> v129(constB116, 0))) | (~((~v90(constB116, 2)) <=> v129(constB116, 2)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14018,plain,
% 6.67/4.90 (~((~v90(constB116, 2)) <=> v129(constB116, 2))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14017, 14016])).
% 6.67/4.90 tff(14019,plain,
% 6.67/4.90 (((~v90(constB116, 2)) <=> v129(constB116, 2)) | (~v90(constB116, 2)) | v129(constB116, 2)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14020,plain,
% 6.67/4.90 (~v90(constB116, 2)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14019, 14018, 13939])).
% 6.67/4.90 tff(14021,plain,
% 6.67/4.90 (((~v90(constB117, 2)) <=> v90(constB116, 2)) | (~v90(constB117, 2)) | v90(constB116, 2)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14022,plain,
% 6.67/4.90 (~v90(constB117, 2)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14021, 14020, 827])).
% 6.67/4.90 tff(14023,plain,
% 6.67/4.90 ((((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 0)) <=> v90(constB116, 0))) | (~((~v90(constB117, 0)) <=> v90(constB116, 0)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14024,plain,
% 6.67/4.90 (~((~v90(constB117, 0)) <=> v90(constB116, 0))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14023, 825])).
% 6.67/4.90 tff(14025,plain,
% 6.67/4.90 ((((~v129(constB116, 2)) <=> v127(constB115, 2)) | ((~v129(constB116, 1)) <=> v127(constB115, 1)) | ((~v129(constB116, 0)) <=> v127(constB115, 0))) | (~((~v129(constB116, 0)) <=> v127(constB115, 0)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14026,plain,
% 6.67/4.90 (~((~v129(constB116, 0)) <=> v127(constB115, 0))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14025, 834])).
% 6.67/4.90 tff(14027,plain,
% 6.67/4.90 ((((~v127(constB115, 2)) <=> v130(constB115, 2)) | ((~v127(constB115, 1)) <=> v130(constB115, 1)) | ((~v127(constB115, 0)) <=> v130(constB115, 0))) | (~((~v127(constB115, 0)) <=> v130(constB115, 0)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14028,plain,
% 6.67/4.90 (~((~v127(constB115, 0)) <=> v130(constB115, 0))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14027, 848])).
% 6.67/4.90 tff(14029,plain,
% 6.67/4.90 ((v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0))) | v130(constB115, 0)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14030,plain,
% 6.67/4.90 (v130(constB115, 0)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14029, 13933])).
% 6.67/4.90 tff(14031,plain,
% 6.67/4.90 (((~v127(constB115, 0)) <=> v130(constB115, 0)) | v127(constB115, 0) | (~v130(constB115, 0))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14032,plain,
% 6.67/4.90 (v127(constB115, 0)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14031, 14030, 14028])).
% 6.67/4.90 tff(14033,plain,
% 6.67/4.90 (((~v129(constB116, 0)) <=> v127(constB115, 0)) | v129(constB116, 0) | (~v127(constB115, 0))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14034,plain,
% 6.67/4.90 (v129(constB116, 0)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14033, 14032, 14026])).
% 6.67/4.90 tff(14035,plain,
% 6.67/4.90 ((((~v90(constB116, 2)) <=> v129(constB116, 2)) | ((~v90(constB116, 1)) <=> v129(constB116, 1)) | ((~v90(constB116, 0)) <=> v129(constB116, 0))) | (~((~v90(constB116, 0)) <=> v129(constB116, 0)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14036,plain,
% 6.67/4.90 (~((~v90(constB116, 0)) <=> v129(constB116, 0))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14035, 14016])).
% 6.67/4.90 tff(14037,plain,
% 6.67/4.90 (((~v90(constB116, 0)) <=> v129(constB116, 0)) | v90(constB116, 0) | (~v129(constB116, 0))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14038,plain,
% 6.67/4.90 (v90(constB116, 0)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14037, 14036, 14034])).
% 6.67/4.90 tff(14039,plain,
% 6.67/4.90 (((~v90(constB117, 0)) <=> v90(constB116, 0)) | v90(constB117, 0) | (~v90(constB116, 0))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14040,plain,
% 6.67/4.90 (v90(constB117, 0)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14039, 14038, 14024])).
% 6.67/4.90 tff(14041,plain,
% 6.67/4.90 ((((~v90(constB117, 1)) <=> v90(constB116, 1)) | ((~v90(constB117, 2)) <=> v90(constB116, 2)) | ((~v90(constB117, 0)) <=> v90(constB116, 0))) | (~((~v90(constB117, 1)) <=> v90(constB116, 1)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14042,plain,
% 6.67/4.90 (~((~v90(constB117, 1)) <=> v90(constB116, 1))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14041, 825])).
% 6.67/4.90 tff(14043,plain,
% 6.67/4.90 ((((~v129(constB116, 2)) <=> v127(constB115, 2)) | ((~v129(constB116, 1)) <=> v127(constB115, 1)) | ((~v129(constB116, 0)) <=> v127(constB115, 0))) | (~((~v129(constB116, 1)) <=> v127(constB115, 1)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14044,plain,
% 6.67/4.90 (~((~v129(constB116, 1)) <=> v127(constB115, 1))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14043, 834])).
% 6.67/4.90 tff(14045,plain,
% 6.67/4.90 ((((~v127(constB115, 2)) <=> v130(constB115, 2)) | ((~v127(constB115, 1)) <=> v130(constB115, 1)) | ((~v127(constB115, 0)) <=> v130(constB115, 0))) | (~((~v127(constB115, 1)) <=> v130(constB115, 1)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14046,plain,
% 6.67/4.90 (~((~v127(constB115, 1)) <=> v130(constB115, 1))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14045, 848])).
% 6.67/4.90 tff(14047,plain,
% 6.67/4.90 ((v130(constB115, 2) | v130(constB115, 1) | (~v130(constB115, 0))) | (~v130(constB115, 1))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14048,plain,
% 6.67/4.90 (~v130(constB115, 1)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14047, 13933])).
% 6.67/4.90 tff(14049,plain,
% 6.67/4.90 (((~v127(constB115, 1)) <=> v130(constB115, 1)) | (~v127(constB115, 1)) | v130(constB115, 1)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14050,plain,
% 6.67/4.90 (~v127(constB115, 1)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14049, 14048, 14046])).
% 6.67/4.90 tff(14051,plain,
% 6.67/4.90 (((~v129(constB116, 1)) <=> v127(constB115, 1)) | (~v129(constB116, 1)) | v127(constB115, 1)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14052,plain,
% 6.67/4.90 (~v129(constB116, 1)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14051, 14050, 14044])).
% 6.67/4.90 tff(14053,plain,
% 6.67/4.90 ((((~v90(constB116, 2)) <=> v129(constB116, 2)) | ((~v90(constB116, 1)) <=> v129(constB116, 1)) | ((~v90(constB116, 0)) <=> v129(constB116, 0))) | (~((~v90(constB116, 1)) <=> v129(constB116, 1)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14054,plain,
% 6.67/4.90 (~((~v90(constB116, 1)) <=> v129(constB116, 1))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14053, 14016])).
% 6.67/4.90 tff(14055,plain,
% 6.67/4.90 (((~v90(constB116, 1)) <=> v129(constB116, 1)) | (~v90(constB116, 1)) | v129(constB116, 1)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14056,plain,
% 6.67/4.90 (~v90(constB116, 1)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14055, 14054, 14052])).
% 6.67/4.90 tff(14057,plain,
% 6.67/4.90 (((~v90(constB117, 1)) <=> v90(constB116, 1)) | (~v90(constB117, 1)) | v90(constB116, 1)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14058,plain,
% 6.67/4.90 (~v90(constB117, 1)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14057, 14056, 14042])).
% 6.67/4.90 tff(14059,plain,
% 6.67/4.90 ((~(v90(constB117, 1) | v90(constB117, 2) | (~v90(constB117, 0)))) | v90(constB117, 1) | v90(constB117, 2) | (~v90(constB117, 0))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14060,plain,
% 6.67/4.90 (~(v90(constB117, 1) | v90(constB117, 2) | (~v90(constB117, 0)))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14059, 14058, 14040, 14022])).
% 6.67/4.90 tff(14061,plain,
% 6.67/4.90 ((~(v120(constB117) <=> (~(v90(constB117, 1) | v90(constB117, 2) | (~v90(constB117, 0)))))) | v120(constB117) | (v90(constB117, 1) | v90(constB117, 2) | (~v90(constB117, 0)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14062,plain,
% 6.67/4.90 (v120(constB117)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14061, 14060, 791])).
% 6.67/4.90 tff(14063,plain,
% 6.67/4.90 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB117)) | (~(v130(constB117, 2) | v130(constB117, 0) | (~v130(constB117, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB117)) | (~(v130(constB117, 2) | v130(constB117, 0) | (~v130(constB117, 1)))))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(14064,plain,
% 6.67/4.90 (((~v120(constB117)) | (~(v130(constB117, 0) | v130(constB117, 2) | (~v130(constB117, 1))))) <=> ((~v120(constB117)) | (~(v130(constB117, 2) | v130(constB117, 0) | (~v130(constB117, 1)))))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(14065,plain,
% 6.67/4.90 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB117)) | (~(v130(constB117, 0) | v130(constB117, 2) | (~v130(constB117, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB117)) | (~(v130(constB117, 2) | v130(constB117, 0) | (~v130(constB117, 1))))))),
% 6.67/4.90 inference(monotonicity,[status(thm)],[14064])).
% 6.67/4.90 tff(14066,plain,
% 6.67/4.90 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB117)) | (~(v130(constB117, 0) | v130(constB117, 2) | (~v130(constB117, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB117)) | (~(v130(constB117, 2) | v130(constB117, 0) | (~v130(constB117, 1)))))),
% 6.67/4.90 inference(transitivity,[status(thm)],[14065, 14063])).
% 6.67/4.90 tff(14067,plain,
% 6.67/4.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB117)) | (~(v130(constB117, 0) | v130(constB117, 2) | (~v130(constB117, 1)))))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(14068,plain,
% 6.67/4.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB117)) | (~(v130(constB117, 2) | v130(constB117, 0) | (~v130(constB117, 1))))),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[14067, 14066])).
% 6.67/4.90 tff(14069,plain,
% 6.67/4.90 ((~v120(constB117)) | (~(v130(constB117, 2) | v130(constB117, 0) | (~v130(constB117, 1))))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14068, 5246])).
% 6.67/4.90 tff(14070,plain,
% 6.67/4.90 (~(v130(constB117, 2) | v130(constB117, 0) | (~v130(constB117, 1)))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14069, 14062])).
% 6.67/4.90 tff(14071,plain,
% 6.67/4.90 ((v130(constB117, 2) | v130(constB117, 0) | (~v130(constB117, 1))) | (~v130(constB117, 2))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14072,plain,
% 6.67/4.90 (~v130(constB117, 2)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14071, 14070])).
% 6.67/4.90 tff(14073,plain,
% 6.67/4.90 (((~v127(constB117, 2)) <=> v130(constB117, 2)) | (~v127(constB117, 2)) | v130(constB117, 2)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14074,plain,
% 6.67/4.90 (~v127(constB117, 2)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14073, 14072, 789])).
% 6.67/4.90 tff(14075,plain,
% 6.67/4.90 (((~v129(constB118, 2)) <=> v127(constB117, 2)) | (~v129(constB118, 2)) | v127(constB117, 2)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14076,plain,
% 6.67/4.90 (~v129(constB118, 2)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14075, 14074, 775])).
% 6.67/4.90 tff(14077,plain,
% 6.67/4.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(14078,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(14079,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118)))))),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[14078, 14077])).
% 6.67/4.90 tff(14080,plain,
% 6.67/4.90 (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14079, 769, 273])).
% 6.67/4.90 tff(14081,plain,
% 6.67/4.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(14082,plain,
% 6.67/4.90 (((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118)))))) <=> ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(14083,plain,
% 6.67/4.90 (((~![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) <=> (~((~v1(constB118)) | (~v102(constB118)))))))),
% 6.67/4.90 inference(monotonicity,[status(thm)],[14082])).
% 6.67/4.90 tff(14084,plain,
% 6.67/4.90 (((~![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) <=> (~((~v1(constB118)) | (~v102(constB118))))))),
% 6.67/4.90 inference(transitivity,[status(thm)],[14083, 14081])).
% 6.67/4.90 tff(14085,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118))))))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(14086,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118)))))),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[14085, 14084])).
% 6.67/4.90 tff(14087,plain,
% 6.67/4.90 (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14086, 769, 293])).
% 6.67/4.90 tff(14088,plain,
% 6.67/4.90 (((~![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)))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(14089,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118)))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(14090,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118))),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[14089, 14088])).
% 6.67/4.90 tff(14091,plain,
% 6.67/4.90 ((~v102(constB118)) <=> v104(constB118)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14090, 769, 4609])).
% 6.67/4.90 tff(14092,plain,
% 6.67/4.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117)))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(14093,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117)))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(14094,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117))),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[14093, 14092])).
% 6.67/4.90 tff(14095,plain,
% 6.67/4.90 (v104(constB118) <=> v1(constB117)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14094, 769, 4623])).
% 6.67/4.90 tff(14096,plain,
% 6.67/4.90 ((~(v104(constB118) <=> v1(constB117))) | (~v104(constB118)) | v1(constB117)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14097,plain,
% 6.67/4.90 ((~(v104(constB118) <=> v1(constB117))) | (~v104(constB118))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14096, 808])).
% 6.67/4.90 tff(14098,plain,
% 6.67/4.90 (~v104(constB118)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14097, 14095])).
% 6.67/4.90 tff(14099,plain,
% 6.67/4.90 ((~((~v102(constB118)) <=> v104(constB118))) | v102(constB118) | v104(constB118)),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14100,plain,
% 6.67/4.90 (v102(constB118)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14099, 14098, 14091])).
% 6.67/4.90 tff(14101,plain,
% 6.67/4.90 (v1(constB118) <=> v1(constB118)),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(14102,axiom,(v1(constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_118')).
% 6.67/4.90 tff(14103,plain,
% 6.67/4.90 (v1(constB118)),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[14102, 14101])).
% 6.67/4.90 tff(14104,plain,
% 6.67/4.90 ((~((~v1(constB118)) | (~v102(constB118)))) | (~v1(constB118)) | (~v102(constB118))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14105,plain,
% 6.67/4.90 ((~((~v1(constB118)) | (~v102(constB118)))) | (~v102(constB118))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14104, 14103])).
% 6.67/4.90 tff(14106,plain,
% 6.67/4.90 (~((~v1(constB118)) | (~v102(constB118)))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14105, 14100])).
% 6.67/4.90 tff(14107,plain,
% 6.67/4.90 ((~(v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118)))))) | v101(constB118) | ((~v1(constB118)) | (~v102(constB118)))),
% 6.67/4.90 inference(tautology,[status(thm)],[])).
% 6.67/4.90 tff(14108,plain,
% 6.67/4.90 (v101(constB118)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14107, 14106, 14087])).
% 6.67/4.90 tff(14109,plain,
% 6.67/4.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117)))),
% 6.67/4.90 inference(rewrite,[status(thm)],[])).
% 6.67/4.90 tff(14110,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117)))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(14111,plain,
% 6.67/4.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117))),
% 6.67/4.90 inference(modus_ponens,[status(thm)],[14110, 14109])).
% 6.67/4.90 tff(14112,plain,
% 6.67/4.90 (v110(constB118) <=> v108(constB117)),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14111, 769, 4650])).
% 6.67/4.90 tff(14113,plain,
% 6.67/4.90 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB117) <=> (v111(constB117) | v112(constB117)))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(14114,plain,
% 6.67/4.90 (v108(constB117) <=> (v111(constB117) | v112(constB117))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14113, 4661])).
% 6.67/4.90 tff(14115,plain,
% 6.67/4.90 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117)))))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.90 tff(14116,plain,
% 6.67/4.90 (v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117))))),
% 6.67/4.90 inference(unit_resolution,[status(thm)],[14115, 4673])).
% 6.67/4.90 tff(14117,plain,
% 6.67/4.90 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB117) <=> (v114(constB117) | v125(constB117)))),
% 6.67/4.90 inference(quant_inst,[status(thm)],[])).
% 6.67/4.91 tff(14118,plain,
% 6.67/4.91 (v113(constB117) <=> (v114(constB117) | v125(constB117))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14117, 4682])).
% 6.67/4.91 tff(14119,plain,
% 6.67/4.91 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB117) <=> (v115(constB117) | v124(constB117)))),
% 6.67/4.91 inference(quant_inst,[status(thm)],[])).
% 6.67/4.91 tff(14120,plain,
% 6.67/4.91 (v114(constB117) <=> (v115(constB117) | v124(constB117))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14119, 4691])).
% 6.67/4.91 tff(14121,plain,
% 6.67/4.91 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB117) <=> (v116(constB117) | v123(constB117)))),
% 6.67/4.91 inference(quant_inst,[status(thm)],[])).
% 6.67/4.91 tff(14122,plain,
% 6.67/4.91 (v115(constB117) <=> (v116(constB117) | v123(constB117))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14121, 4700])).
% 6.67/4.91 tff(14123,plain,
% 6.67/4.91 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB117) <=> (v117(constB117) | v122(constB117)))),
% 6.67/4.91 inference(quant_inst,[status(thm)],[])).
% 6.67/4.91 tff(14124,plain,
% 6.67/4.91 (v116(constB117) <=> (v117(constB117) | v122(constB117))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14123, 4709])).
% 6.67/4.91 tff(14125,plain,
% 6.67/4.91 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB117) <=> (v118(constB117) | v121(constB117)))),
% 6.67/4.91 inference(quant_inst,[status(thm)],[])).
% 6.67/4.91 tff(14126,plain,
% 6.67/4.91 (v117(constB117) <=> (v118(constB117) | v121(constB117))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14125, 4718])).
% 6.67/4.91 tff(14127,plain,
% 6.67/4.91 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB117) <=> (v119(constB117) | v120(constB117)))),
% 6.67/4.91 inference(quant_inst,[status(thm)],[])).
% 6.67/4.91 tff(14128,plain,
% 6.67/4.91 (v118(constB117) <=> (v119(constB117) | v120(constB117))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14127, 4727])).
% 6.67/4.91 tff(14129,plain,
% 6.67/4.91 ((v119(constB117) | v120(constB117)) | (~v120(constB117))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14130,plain,
% 6.67/4.91 (v119(constB117) | v120(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14129, 14062])).
% 6.67/4.91 tff(14131,plain,
% 6.67/4.91 ((~(v118(constB117) <=> (v119(constB117) | v120(constB117)))) | v118(constB117) | (~(v119(constB117) | v120(constB117)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14132,plain,
% 6.67/4.91 (v118(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14131, 14130, 14128])).
% 6.67/4.91 tff(14133,plain,
% 6.67/4.91 ((v118(constB117) | v121(constB117)) | (~v118(constB117))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14134,plain,
% 6.67/4.91 (v118(constB117) | v121(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14133, 14132])).
% 6.67/4.91 tff(14135,plain,
% 6.67/4.91 ((~(v117(constB117) <=> (v118(constB117) | v121(constB117)))) | v117(constB117) | (~(v118(constB117) | v121(constB117)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14136,plain,
% 6.67/4.91 (v117(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14135, 14134, 14126])).
% 6.67/4.91 tff(14137,plain,
% 6.67/4.91 ((v117(constB117) | v122(constB117)) | (~v117(constB117))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14138,plain,
% 6.67/4.91 (v117(constB117) | v122(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14137, 14136])).
% 6.67/4.91 tff(14139,plain,
% 6.67/4.91 ((~(v116(constB117) <=> (v117(constB117) | v122(constB117)))) | v116(constB117) | (~(v117(constB117) | v122(constB117)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14140,plain,
% 6.67/4.91 (v116(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14139, 14138, 14124])).
% 6.67/4.91 tff(14141,plain,
% 6.67/4.91 ((v116(constB117) | v123(constB117)) | (~v116(constB117))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14142,plain,
% 6.67/4.91 (v116(constB117) | v123(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14141, 14140])).
% 6.67/4.91 tff(14143,plain,
% 6.67/4.91 ((~(v115(constB117) <=> (v116(constB117) | v123(constB117)))) | v115(constB117) | (~(v116(constB117) | v123(constB117)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14144,plain,
% 6.67/4.91 (v115(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14143, 14142, 14122])).
% 6.67/4.91 tff(14145,plain,
% 6.67/4.91 ((v115(constB117) | v124(constB117)) | (~v115(constB117))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14146,plain,
% 6.67/4.91 (v115(constB117) | v124(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14145, 14144])).
% 6.67/4.91 tff(14147,plain,
% 6.67/4.91 ((~(v114(constB117) <=> (v115(constB117) | v124(constB117)))) | v114(constB117) | (~(v115(constB117) | v124(constB117)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14148,plain,
% 6.67/4.91 (v114(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14147, 14146, 14120])).
% 6.67/4.91 tff(14149,plain,
% 6.67/4.91 ((v114(constB117) | v125(constB117)) | (~v114(constB117))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14150,plain,
% 6.67/4.91 (v114(constB117) | v125(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14149, 14148])).
% 6.67/4.91 tff(14151,plain,
% 6.67/4.91 ((~(v113(constB117) <=> (v114(constB117) | v125(constB117)))) | v113(constB117) | (~(v114(constB117) | v125(constB117)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14152,plain,
% 6.67/4.91 (v113(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14151, 14150, 14118])).
% 6.67/4.91 tff(14153,plain,
% 6.67/4.91 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB117)) <=> v111(constB117))),
% 6.67/4.91 inference(quant_inst,[status(thm)],[])).
% 6.67/4.91 tff(14154,plain,
% 6.67/4.91 ((~v126(constB117)) <=> v111(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14153, 4761])).
% 6.67/4.91 tff(14155,plain,
% 6.67/4.91 ((~((~v126(constB117)) <=> v111(constB117))) | v126(constB117) | v111(constB117)),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14156,plain,
% 6.67/4.91 ((~((~v126(constB117)) <=> v111(constB117))) | v126(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14155, 782])).
% 6.67/4.91 tff(14157,plain,
% 6.67/4.91 (v126(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14156, 14154])).
% 6.67/4.91 tff(14158,plain,
% 6.67/4.91 ((~((~v113(constB117)) | (~v126(constB117)))) | (~v113(constB117)) | (~v126(constB117))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14159,plain,
% 6.67/4.91 ((~((~v113(constB117)) | (~v126(constB117)))) | (~v113(constB117))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14158, 14157])).
% 6.67/4.91 tff(14160,plain,
% 6.67/4.91 (~((~v113(constB117)) | (~v126(constB117)))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14159, 14152])).
% 6.67/4.91 tff(14161,plain,
% 6.67/4.91 ((~(v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117)))))) | v112(constB117) | ((~v113(constB117)) | (~v126(constB117)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14162,plain,
% 6.67/4.91 (v112(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14161, 14160, 14116])).
% 6.67/4.91 tff(14163,plain,
% 6.67/4.91 ((v111(constB117) | v112(constB117)) | (~v112(constB117))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14164,plain,
% 6.67/4.91 (v111(constB117) | v112(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14163, 14162])).
% 6.67/4.91 tff(14165,plain,
% 6.67/4.91 ((~(v108(constB117) <=> (v111(constB117) | v112(constB117)))) | v108(constB117) | (~(v111(constB117) | v112(constB117)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14166,plain,
% 6.67/4.91 (v108(constB117)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14165, 14164, 14114])).
% 6.67/4.91 tff(14167,plain,
% 6.67/4.91 ((~(v110(constB118) <=> v108(constB117))) | v110(constB118) | (~v108(constB117))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14168,plain,
% 6.67/4.91 (v110(constB118)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14167, 14166, 14112])).
% 6.67/4.91 tff(14169,plain,
% 6.67/4.91 ((~((~v101(constB118)) | (~v110(constB118)))) | (~v101(constB118)) | (~v110(constB118))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14170,plain,
% 6.67/4.91 (~((~v101(constB118)) | (~v110(constB118)))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14169, 14168, 14108])).
% 6.67/4.91 tff(14171,plain,
% 6.67/4.91 ((~(v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118)))))) | v100(constB118) | ((~v101(constB118)) | (~v110(constB118)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14172,plain,
% 6.67/4.91 (v100(constB118)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14171, 14170, 14080])).
% 6.67/4.91 tff(14173,plain,
% 6.67/4.91 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB118)) | (~(((~v90(constB118, 0)) <=> v129(constB118, 0)) | ((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB118)) | (~(((~v90(constB118, 0)) <=> v129(constB118, 0)) | ((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1)))))),
% 6.67/4.91 inference(rewrite,[status(thm)],[])).
% 6.67/4.91 tff(14174,plain,
% 6.67/4.91 (((~v100(constB118)) | (~(((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1)) | ((~v90(constB118, 0)) <=> v129(constB118, 0))))) <=> ((~v100(constB118)) | (~(((~v90(constB118, 0)) <=> v129(constB118, 0)) | ((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1)))))),
% 6.67/4.91 inference(rewrite,[status(thm)],[])).
% 6.67/4.91 tff(14175,plain,
% 6.67/4.91 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB118)) | (~(((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1)) | ((~v90(constB118, 0)) <=> v129(constB118, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB118)) | (~(((~v90(constB118, 0)) <=> v129(constB118, 0)) | ((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1))))))),
% 6.67/4.91 inference(monotonicity,[status(thm)],[14174])).
% 6.67/4.91 tff(14176,plain,
% 6.67/4.91 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB118)) | (~(((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1)) | ((~v90(constB118, 0)) <=> v129(constB118, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB118)) | (~(((~v90(constB118, 0)) <=> v129(constB118, 0)) | ((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1)))))),
% 6.67/4.91 inference(transitivity,[status(thm)],[14175, 14173])).
% 6.67/4.91 tff(14177,plain,
% 6.67/4.91 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB118)) | (~(((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1)) | ((~v90(constB118, 0)) <=> v129(constB118, 0)))))),
% 6.67/4.91 inference(quant_inst,[status(thm)],[])).
% 6.67/4.91 tff(14178,plain,
% 6.67/4.91 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB118)) | (~(((~v90(constB118, 0)) <=> v129(constB118, 0)) | ((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1))))),
% 6.67/4.91 inference(modus_ponens,[status(thm)],[14177, 14176])).
% 6.67/4.91 tff(14179,plain,
% 6.67/4.91 ((~v100(constB118)) | (~(((~v90(constB118, 0)) <=> v129(constB118, 0)) | ((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1))))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14178, 4794])).
% 6.67/4.91 tff(14180,plain,
% 6.67/4.91 (~(((~v90(constB118, 0)) <=> v129(constB118, 0)) | ((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1)))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14179, 14172])).
% 6.67/4.91 tff(14181,plain,
% 6.67/4.91 ((((~v90(constB118, 0)) <=> v129(constB118, 0)) | ((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1))) | (~((~v90(constB118, 2)) <=> v129(constB118, 2)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14182,plain,
% 6.67/4.91 (~((~v90(constB118, 2)) <=> v129(constB118, 2))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14181, 14180])).
% 6.67/4.91 tff(14183,plain,
% 6.67/4.91 (((~v90(constB118, 2)) <=> v129(constB118, 2)) | (~v90(constB118, 2)) | v129(constB118, 2)),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14184,plain,
% 6.67/4.91 (~v90(constB118, 2)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14183, 14182, 14076])).
% 6.67/4.91 tff(14185,plain,
% 6.67/4.91 (((~v90(constB119, 2)) <=> v90(constB118, 2)) | (~v90(constB119, 2)) | v90(constB118, 2)),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14186,plain,
% 6.67/4.91 (~v90(constB119, 2)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14185, 14184, 766])).
% 6.67/4.91 tff(14187,plain,
% 6.67/4.91 ((((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 0)) <=> v90(constB118, 0))) | (~((~v90(constB119, 0)) <=> v90(constB118, 0)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14188,plain,
% 6.67/4.91 (~((~v90(constB119, 0)) <=> v90(constB118, 0))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14187, 764])).
% 6.67/4.91 tff(14189,plain,
% 6.67/4.91 ((((~v129(constB118, 2)) <=> v127(constB117, 2)) | ((~v129(constB118, 1)) <=> v127(constB117, 1)) | ((~v129(constB118, 0)) <=> v127(constB117, 0))) | (~((~v129(constB118, 0)) <=> v127(constB117, 0)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14190,plain,
% 6.67/4.91 (~((~v129(constB118, 0)) <=> v127(constB117, 0))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14189, 773])).
% 6.67/4.91 tff(14191,plain,
% 6.67/4.91 ((((~v127(constB117, 2)) <=> v130(constB117, 2)) | ((~v127(constB117, 1)) <=> v130(constB117, 1)) | ((~v127(constB117, 0)) <=> v130(constB117, 0))) | (~((~v127(constB117, 0)) <=> v130(constB117, 0)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14192,plain,
% 6.67/4.91 (~((~v127(constB117, 0)) <=> v130(constB117, 0))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14191, 787])).
% 6.67/4.91 tff(14193,plain,
% 6.67/4.91 ((v130(constB117, 2) | v130(constB117, 0) | (~v130(constB117, 1))) | (~v130(constB117, 0))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14194,plain,
% 6.67/4.91 (~v130(constB117, 0)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14193, 14070])).
% 6.67/4.91 tff(14195,plain,
% 6.67/4.91 (((~v127(constB117, 0)) <=> v130(constB117, 0)) | (~v127(constB117, 0)) | v130(constB117, 0)),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14196,plain,
% 6.67/4.91 (~v127(constB117, 0)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14195, 14194, 14192])).
% 6.67/4.91 tff(14197,plain,
% 6.67/4.91 (((~v129(constB118, 0)) <=> v127(constB117, 0)) | (~v129(constB118, 0)) | v127(constB117, 0)),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14198,plain,
% 6.67/4.91 (~v129(constB118, 0)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14197, 14196, 14190])).
% 6.67/4.91 tff(14199,plain,
% 6.67/4.91 ((((~v90(constB118, 0)) <=> v129(constB118, 0)) | ((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1))) | (~((~v90(constB118, 0)) <=> v129(constB118, 0)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14200,plain,
% 6.67/4.91 (~((~v90(constB118, 0)) <=> v129(constB118, 0))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14199, 14180])).
% 6.67/4.91 tff(14201,plain,
% 6.67/4.91 (((~v90(constB118, 0)) <=> v129(constB118, 0)) | (~v90(constB118, 0)) | v129(constB118, 0)),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14202,plain,
% 6.67/4.91 (~v90(constB118, 0)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14201, 14200, 14198])).
% 6.67/4.91 tff(14203,plain,
% 6.67/4.91 (((~v90(constB119, 0)) <=> v90(constB118, 0)) | (~v90(constB119, 0)) | v90(constB118, 0)),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14204,plain,
% 6.67/4.91 (~v90(constB119, 0)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14203, 14202, 14188])).
% 6.67/4.91 tff(14205,plain,
% 6.67/4.91 ((((~v90(constB119, 1)) <=> v90(constB118, 1)) | ((~v90(constB119, 2)) <=> v90(constB118, 2)) | ((~v90(constB119, 0)) <=> v90(constB118, 0))) | (~((~v90(constB119, 1)) <=> v90(constB118, 1)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14206,plain,
% 6.67/4.91 (~((~v90(constB119, 1)) <=> v90(constB118, 1))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14205, 764])).
% 6.67/4.91 tff(14207,plain,
% 6.67/4.91 ((((~v129(constB118, 2)) <=> v127(constB117, 2)) | ((~v129(constB118, 1)) <=> v127(constB117, 1)) | ((~v129(constB118, 0)) <=> v127(constB117, 0))) | (~((~v129(constB118, 1)) <=> v127(constB117, 1)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14208,plain,
% 6.67/4.91 (~((~v129(constB118, 1)) <=> v127(constB117, 1))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14207, 773])).
% 6.67/4.91 tff(14209,plain,
% 6.67/4.91 ((((~v127(constB117, 2)) <=> v130(constB117, 2)) | ((~v127(constB117, 1)) <=> v130(constB117, 1)) | ((~v127(constB117, 0)) <=> v130(constB117, 0))) | (~((~v127(constB117, 1)) <=> v130(constB117, 1)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14210,plain,
% 6.67/4.91 (~((~v127(constB117, 1)) <=> v130(constB117, 1))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14209, 787])).
% 6.67/4.91 tff(14211,plain,
% 6.67/4.91 ((v130(constB117, 2) | v130(constB117, 0) | (~v130(constB117, 1))) | v130(constB117, 1)),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14212,plain,
% 6.67/4.91 (v130(constB117, 1)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14211, 14070])).
% 6.67/4.91 tff(14213,plain,
% 6.67/4.91 (((~v127(constB117, 1)) <=> v130(constB117, 1)) | v127(constB117, 1) | (~v130(constB117, 1))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14214,plain,
% 6.67/4.91 (v127(constB117, 1)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14213, 14212, 14210])).
% 6.67/4.91 tff(14215,plain,
% 6.67/4.91 (((~v129(constB118, 1)) <=> v127(constB117, 1)) | v129(constB118, 1) | (~v127(constB117, 1))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14216,plain,
% 6.67/4.91 (v129(constB118, 1)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14215, 14214, 14208])).
% 6.67/4.91 tff(14217,plain,
% 6.67/4.91 ((((~v90(constB118, 0)) <=> v129(constB118, 0)) | ((~v90(constB118, 2)) <=> v129(constB118, 2)) | ((~v90(constB118, 1)) <=> v129(constB118, 1))) | (~((~v90(constB118, 1)) <=> v129(constB118, 1)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14218,plain,
% 6.67/4.91 (~((~v90(constB118, 1)) <=> v129(constB118, 1))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14217, 14180])).
% 6.67/4.91 tff(14219,plain,
% 6.67/4.91 (((~v90(constB118, 1)) <=> v129(constB118, 1)) | v90(constB118, 1) | (~v129(constB118, 1))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14220,plain,
% 6.67/4.91 (v90(constB118, 1)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14219, 14218, 14216])).
% 6.67/4.91 tff(14221,plain,
% 6.67/4.91 (((~v90(constB119, 1)) <=> v90(constB118, 1)) | v90(constB119, 1) | (~v90(constB118, 1))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14222,plain,
% 6.67/4.91 (v90(constB119, 1)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14221, 14220, 14206])).
% 6.67/4.91 tff(14223,plain,
% 6.67/4.91 ((~(v90(constB119, 2) | v90(constB119, 0) | (~v90(constB119, 1)))) | v90(constB119, 2) | v90(constB119, 0) | (~v90(constB119, 1))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14224,plain,
% 6.67/4.91 (~(v90(constB119, 2) | v90(constB119, 0) | (~v90(constB119, 1)))),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14223, 14222, 14204, 14186])).
% 6.67/4.91 tff(14225,plain,
% 6.67/4.91 ((~(v121(constB119) <=> (~(v90(constB119, 2) | v90(constB119, 0) | (~v90(constB119, 1)))))) | v121(constB119) | (v90(constB119, 2) | v90(constB119, 0) | (~v90(constB119, 1)))),
% 6.67/4.91 inference(tautology,[status(thm)],[])).
% 6.67/4.91 tff(14226,plain,
% 6.67/4.91 (v121(constB119)),
% 6.67/4.91 inference(unit_resolution,[status(thm)],[14225, 14224, 730])).
% 6.67/4.91 tff(14227,plain,
% 6.67/4.91 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB119)) | (~(v130(constB119, 2) | (~v130(constB119, 1)) | (~v130(constB119, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB119)) | (~(v130(constB119, 2) | (~v130(constB119, 1)) | (~v130(constB119, 0)))))),
% 6.67/4.91 inference(rewrite,[status(thm)],[])).
% 6.67/4.91 tff(14228,plain,
% 6.67/4.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB119)) | (~(v130(constB119, 2) | (~v130(constB119, 1)) | (~v130(constB119, 0)))))),
% 6.67/4.91 inference(quant_inst,[status(thm)],[])).
% 6.67/4.91 tff(14229,plain,
% 6.67/4.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB119)) | (~(v130(constB119, 2) | (~v130(constB119, 1)) | (~v130(constB119, 0))))),
% 6.73/4.91 inference(modus_ponens,[status(thm)],[14228, 14227])).
% 6.73/4.91 tff(14230,plain,
% 6.73/4.91 ((~v121(constB119)) | (~(v130(constB119, 2) | (~v130(constB119, 1)) | (~v130(constB119, 0))))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14229, 5420])).
% 6.73/4.91 tff(14231,plain,
% 6.73/4.91 (~(v130(constB119, 2) | (~v130(constB119, 1)) | (~v130(constB119, 0)))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14230, 14226])).
% 6.73/4.91 tff(14232,plain,
% 6.73/4.91 ((v130(constB119, 2) | (~v130(constB119, 1)) | (~v130(constB119, 0))) | (~v130(constB119, 2))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14233,plain,
% 6.73/4.91 (~v130(constB119, 2)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14232, 14231])).
% 6.73/4.91 tff(14234,plain,
% 6.73/4.91 (((~v127(constB119, 2)) <=> v130(constB119, 2)) | (~v127(constB119, 2)) | v130(constB119, 2)),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14235,plain,
% 6.73/4.91 (~v127(constB119, 2)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14234, 14233, 710])).
% 6.73/4.91 tff(14236,plain,
% 6.73/4.91 (((~v129(constB120, 2)) <=> v127(constB119, 2)) | (~v129(constB120, 2)) | v127(constB119, 2)),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14237,plain,
% 6.73/4.91 (~v129(constB120, 2)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14236, 14235, 696])).
% 6.73/4.91 tff(14238,plain,
% 6.73/4.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))))),
% 6.73/4.91 inference(rewrite,[status(thm)],[])).
% 6.73/4.91 tff(14239,plain,
% 6.73/4.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))))),
% 6.73/4.91 inference(quant_inst,[status(thm)],[])).
% 6.73/4.91 tff(14240,plain,
% 6.73/4.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120)))))),
% 6.73/4.91 inference(modus_ponens,[status(thm)],[14239, 14238])).
% 6.73/4.91 tff(14241,plain,
% 6.73/4.91 (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14240, 690, 273])).
% 6.73/4.91 tff(14242,plain,
% 6.73/4.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))),
% 6.73/4.91 inference(rewrite,[status(thm)],[])).
% 6.73/4.91 tff(14243,plain,
% 6.73/4.91 (((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120)))))) <=> ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))),
% 6.73/4.91 inference(rewrite,[status(thm)],[])).
% 6.73/4.91 tff(14244,plain,
% 6.73/4.91 (((~![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) <=> (~((~v1(constB120)) | (~v102(constB120)))))))),
% 6.73/4.91 inference(monotonicity,[status(thm)],[14243])).
% 6.73/4.91 tff(14245,plain,
% 6.73/4.91 (((~![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) <=> (~((~v1(constB120)) | (~v102(constB120))))))),
% 6.73/4.91 inference(transitivity,[status(thm)],[14244, 14242])).
% 6.73/4.91 tff(14246,plain,
% 6.73/4.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120))))))),
% 6.73/4.91 inference(quant_inst,[status(thm)],[])).
% 6.73/4.91 tff(14247,plain,
% 6.73/4.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120)))))),
% 6.73/4.91 inference(modus_ponens,[status(thm)],[14246, 14245])).
% 6.73/4.91 tff(14248,plain,
% 6.73/4.91 (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14247, 690, 293])).
% 6.73/4.91 tff(14249,plain,
% 6.73/4.91 (((~![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)))),
% 6.73/4.91 inference(rewrite,[status(thm)],[])).
% 6.73/4.91 tff(14250,plain,
% 6.73/4.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120)))),
% 6.73/4.91 inference(quant_inst,[status(thm)],[])).
% 6.73/4.91 tff(14251,plain,
% 6.73/4.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120))),
% 6.73/4.91 inference(modus_ponens,[status(thm)],[14250, 14249])).
% 6.73/4.91 tff(14252,plain,
% 6.73/4.91 ((~v102(constB120)) <=> v104(constB120)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14251, 690, 4609])).
% 6.73/4.91 tff(14253,plain,
% 6.73/4.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119)))),
% 6.73/4.91 inference(rewrite,[status(thm)],[])).
% 6.73/4.91 tff(14254,plain,
% 6.73/4.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119)))),
% 6.73/4.91 inference(quant_inst,[status(thm)],[])).
% 6.73/4.91 tff(14255,plain,
% 6.73/4.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119))),
% 6.73/4.91 inference(modus_ponens,[status(thm)],[14254, 14253])).
% 6.73/4.91 tff(14256,plain,
% 6.73/4.91 (v104(constB120) <=> v1(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14255, 690, 4623])).
% 6.73/4.91 tff(14257,plain,
% 6.73/4.91 ((~(v104(constB120) <=> v1(constB119))) | (~v104(constB120)) | v1(constB119)),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14258,plain,
% 6.73/4.91 ((~(v104(constB120) <=> v1(constB119))) | (~v104(constB120))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14257, 747])).
% 6.73/4.91 tff(14259,plain,
% 6.73/4.91 (~v104(constB120)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14258, 14256])).
% 6.73/4.91 tff(14260,plain,
% 6.73/4.91 ((~((~v102(constB120)) <=> v104(constB120))) | v102(constB120) | v104(constB120)),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14261,plain,
% 6.73/4.91 (v102(constB120)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14260, 14259, 14252])).
% 6.73/4.91 tff(14262,plain,
% 6.73/4.91 (v1(constB120) <=> v1(constB120)),
% 6.73/4.91 inference(rewrite,[status(thm)],[])).
% 6.73/4.91 tff(14263,axiom,(v1(constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_120')).
% 6.73/4.91 tff(14264,plain,
% 6.73/4.91 (v1(constB120)),
% 6.73/4.91 inference(modus_ponens,[status(thm)],[14263, 14262])).
% 6.73/4.91 tff(14265,plain,
% 6.73/4.91 ((~((~v1(constB120)) | (~v102(constB120)))) | (~v1(constB120)) | (~v102(constB120))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14266,plain,
% 6.73/4.91 ((~((~v1(constB120)) | (~v102(constB120)))) | (~v102(constB120))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14265, 14264])).
% 6.73/4.91 tff(14267,plain,
% 6.73/4.91 (~((~v1(constB120)) | (~v102(constB120)))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14266, 14261])).
% 6.73/4.91 tff(14268,plain,
% 6.73/4.91 ((~(v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120)))))) | v101(constB120) | ((~v1(constB120)) | (~v102(constB120)))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14269,plain,
% 6.73/4.91 (v101(constB120)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14268, 14267, 14248])).
% 6.73/4.91 tff(14270,plain,
% 6.73/4.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119)))),
% 6.73/4.91 inference(rewrite,[status(thm)],[])).
% 6.73/4.91 tff(14271,plain,
% 6.73/4.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119)))),
% 6.73/4.91 inference(quant_inst,[status(thm)],[])).
% 6.73/4.91 tff(14272,plain,
% 6.73/4.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119))),
% 6.73/4.91 inference(modus_ponens,[status(thm)],[14271, 14270])).
% 6.73/4.91 tff(14273,plain,
% 6.73/4.91 (v110(constB120) <=> v108(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14272, 690, 4650])).
% 6.73/4.91 tff(14274,plain,
% 6.73/4.91 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB119) <=> (v111(constB119) | v112(constB119)))),
% 6.73/4.91 inference(quant_inst,[status(thm)],[])).
% 6.73/4.91 tff(14275,plain,
% 6.73/4.91 (v108(constB119) <=> (v111(constB119) | v112(constB119))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14274, 4661])).
% 6.73/4.91 tff(14276,plain,
% 6.73/4.91 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119)))))),
% 6.73/4.91 inference(quant_inst,[status(thm)],[])).
% 6.73/4.91 tff(14277,plain,
% 6.73/4.91 (v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119))))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14276, 4673])).
% 6.73/4.91 tff(14278,plain,
% 6.73/4.91 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB119) <=> (v114(constB119) | v125(constB119)))),
% 6.73/4.91 inference(quant_inst,[status(thm)],[])).
% 6.73/4.91 tff(14279,plain,
% 6.73/4.91 (v113(constB119) <=> (v114(constB119) | v125(constB119))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14278, 4682])).
% 6.73/4.91 tff(14280,plain,
% 6.73/4.91 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB119) <=> (v115(constB119) | v124(constB119)))),
% 6.73/4.91 inference(quant_inst,[status(thm)],[])).
% 6.73/4.91 tff(14281,plain,
% 6.73/4.91 (v114(constB119) <=> (v115(constB119) | v124(constB119))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14280, 4691])).
% 6.73/4.91 tff(14282,plain,
% 6.73/4.91 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB119) <=> (v116(constB119) | v123(constB119)))),
% 6.73/4.91 inference(quant_inst,[status(thm)],[])).
% 6.73/4.91 tff(14283,plain,
% 6.73/4.91 (v115(constB119) <=> (v116(constB119) | v123(constB119))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14282, 4700])).
% 6.73/4.91 tff(14284,plain,
% 6.73/4.91 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB119) <=> (v117(constB119) | v122(constB119)))),
% 6.73/4.91 inference(quant_inst,[status(thm)],[])).
% 6.73/4.91 tff(14285,plain,
% 6.73/4.91 (v116(constB119) <=> (v117(constB119) | v122(constB119))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14284, 4709])).
% 6.73/4.91 tff(14286,plain,
% 6.73/4.91 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB119) <=> (v118(constB119) | v121(constB119)))),
% 6.73/4.91 inference(quant_inst,[status(thm)],[])).
% 6.73/4.91 tff(14287,plain,
% 6.73/4.91 (v117(constB119) <=> (v118(constB119) | v121(constB119))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14286, 4718])).
% 6.73/4.91 tff(14288,plain,
% 6.73/4.91 ((v118(constB119) | v121(constB119)) | (~v121(constB119))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14289,plain,
% 6.73/4.91 (v118(constB119) | v121(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14288, 14226])).
% 6.73/4.91 tff(14290,plain,
% 6.73/4.91 ((~(v117(constB119) <=> (v118(constB119) | v121(constB119)))) | v117(constB119) | (~(v118(constB119) | v121(constB119)))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14291,plain,
% 6.73/4.91 (v117(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14290, 14289, 14287])).
% 6.73/4.91 tff(14292,plain,
% 6.73/4.91 ((v117(constB119) | v122(constB119)) | (~v117(constB119))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14293,plain,
% 6.73/4.91 (v117(constB119) | v122(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14292, 14291])).
% 6.73/4.91 tff(14294,plain,
% 6.73/4.91 ((~(v116(constB119) <=> (v117(constB119) | v122(constB119)))) | v116(constB119) | (~(v117(constB119) | v122(constB119)))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14295,plain,
% 6.73/4.91 (v116(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14294, 14293, 14285])).
% 6.73/4.91 tff(14296,plain,
% 6.73/4.91 ((v116(constB119) | v123(constB119)) | (~v116(constB119))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14297,plain,
% 6.73/4.91 (v116(constB119) | v123(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14296, 14295])).
% 6.73/4.91 tff(14298,plain,
% 6.73/4.91 ((~(v115(constB119) <=> (v116(constB119) | v123(constB119)))) | v115(constB119) | (~(v116(constB119) | v123(constB119)))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14299,plain,
% 6.73/4.91 (v115(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14298, 14297, 14283])).
% 6.73/4.91 tff(14300,plain,
% 6.73/4.91 ((v115(constB119) | v124(constB119)) | (~v115(constB119))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14301,plain,
% 6.73/4.91 (v115(constB119) | v124(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14300, 14299])).
% 6.73/4.91 tff(14302,plain,
% 6.73/4.91 ((~(v114(constB119) <=> (v115(constB119) | v124(constB119)))) | v114(constB119) | (~(v115(constB119) | v124(constB119)))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14303,plain,
% 6.73/4.91 (v114(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14302, 14301, 14281])).
% 6.73/4.91 tff(14304,plain,
% 6.73/4.91 ((v114(constB119) | v125(constB119)) | (~v114(constB119))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14305,plain,
% 6.73/4.91 (v114(constB119) | v125(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14304, 14303])).
% 6.73/4.91 tff(14306,plain,
% 6.73/4.91 ((~(v113(constB119) <=> (v114(constB119) | v125(constB119)))) | v113(constB119) | (~(v114(constB119) | v125(constB119)))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14307,plain,
% 6.73/4.91 (v113(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14306, 14305, 14279])).
% 6.73/4.91 tff(14308,plain,
% 6.73/4.91 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB119)) <=> v111(constB119))),
% 6.73/4.91 inference(quant_inst,[status(thm)],[])).
% 6.73/4.91 tff(14309,plain,
% 6.73/4.91 ((~v126(constB119)) <=> v111(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14308, 4761])).
% 6.73/4.91 tff(14310,plain,
% 6.73/4.91 ((~((~v126(constB119)) <=> v111(constB119))) | v126(constB119) | v111(constB119)),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14311,plain,
% 6.73/4.91 ((~((~v126(constB119)) <=> v111(constB119))) | v126(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14310, 703])).
% 6.73/4.91 tff(14312,plain,
% 6.73/4.91 (v126(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14311, 14309])).
% 6.73/4.91 tff(14313,plain,
% 6.73/4.91 ((~((~v113(constB119)) | (~v126(constB119)))) | (~v113(constB119)) | (~v126(constB119))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14314,plain,
% 6.73/4.91 ((~((~v113(constB119)) | (~v126(constB119)))) | (~v113(constB119))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14313, 14312])).
% 6.73/4.91 tff(14315,plain,
% 6.73/4.91 (~((~v113(constB119)) | (~v126(constB119)))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14314, 14307])).
% 6.73/4.91 tff(14316,plain,
% 6.73/4.91 ((~(v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119)))))) | v112(constB119) | ((~v113(constB119)) | (~v126(constB119)))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14317,plain,
% 6.73/4.91 (v112(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14316, 14315, 14277])).
% 6.73/4.91 tff(14318,plain,
% 6.73/4.91 ((v111(constB119) | v112(constB119)) | (~v112(constB119))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14319,plain,
% 6.73/4.91 (v111(constB119) | v112(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14318, 14317])).
% 6.73/4.91 tff(14320,plain,
% 6.73/4.91 ((~(v108(constB119) <=> (v111(constB119) | v112(constB119)))) | v108(constB119) | (~(v111(constB119) | v112(constB119)))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14321,plain,
% 6.73/4.91 (v108(constB119)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14320, 14319, 14275])).
% 6.73/4.91 tff(14322,plain,
% 6.73/4.91 ((~(v110(constB120) <=> v108(constB119))) | v110(constB120) | (~v108(constB119))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14323,plain,
% 6.73/4.91 (v110(constB120)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14322, 14321, 14273])).
% 6.73/4.91 tff(14324,plain,
% 6.73/4.91 ((~((~v101(constB120)) | (~v110(constB120)))) | (~v101(constB120)) | (~v110(constB120))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14325,plain,
% 6.73/4.91 (~((~v101(constB120)) | (~v110(constB120)))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14324, 14323, 14269])).
% 6.73/4.91 tff(14326,plain,
% 6.73/4.91 ((~(v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120)))))) | v100(constB120) | ((~v101(constB120)) | (~v110(constB120)))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14327,plain,
% 6.73/4.91 (v100(constB120)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14326, 14325, 14241])).
% 6.73/4.91 tff(14328,plain,
% 6.73/4.91 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB120)) | (~(((~v90(constB120, 2)) <=> v129(constB120, 2)) | ((~v90(constB120, 1)) <=> v129(constB120, 1)) | ((~v90(constB120, 0)) <=> v129(constB120, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB120)) | (~(((~v90(constB120, 2)) <=> v129(constB120, 2)) | ((~v90(constB120, 1)) <=> v129(constB120, 1)) | ((~v90(constB120, 0)) <=> v129(constB120, 0)))))),
% 6.73/4.91 inference(rewrite,[status(thm)],[])).
% 6.73/4.91 tff(14329,plain,
% 6.73/4.91 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB120)) | (~(((~v90(constB120, 2)) <=> v129(constB120, 2)) | ((~v90(constB120, 1)) <=> v129(constB120, 1)) | ((~v90(constB120, 0)) <=> v129(constB120, 0)))))),
% 6.73/4.91 inference(quant_inst,[status(thm)],[])).
% 6.73/4.91 tff(14330,plain,
% 6.73/4.91 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB120)) | (~(((~v90(constB120, 2)) <=> v129(constB120, 2)) | ((~v90(constB120, 1)) <=> v129(constB120, 1)) | ((~v90(constB120, 0)) <=> v129(constB120, 0))))),
% 6.73/4.91 inference(modus_ponens,[status(thm)],[14329, 14328])).
% 6.73/4.91 tff(14331,plain,
% 6.73/4.91 ((~v100(constB120)) | (~(((~v90(constB120, 2)) <=> v129(constB120, 2)) | ((~v90(constB120, 1)) <=> v129(constB120, 1)) | ((~v90(constB120, 0)) <=> v129(constB120, 0))))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14330, 4794])).
% 6.73/4.91 tff(14332,plain,
% 6.73/4.91 (~(((~v90(constB120, 2)) <=> v129(constB120, 2)) | ((~v90(constB120, 1)) <=> v129(constB120, 1)) | ((~v90(constB120, 0)) <=> v129(constB120, 0)))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14331, 14327])).
% 6.73/4.91 tff(14333,plain,
% 6.73/4.91 ((((~v90(constB120, 2)) <=> v129(constB120, 2)) | ((~v90(constB120, 1)) <=> v129(constB120, 1)) | ((~v90(constB120, 0)) <=> v129(constB120, 0))) | (~((~v90(constB120, 2)) <=> v129(constB120, 2)))),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14334,plain,
% 6.73/4.91 (~((~v90(constB120, 2)) <=> v129(constB120, 2))),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14333, 14332])).
% 6.73/4.91 tff(14335,plain,
% 6.73/4.91 (((~v90(constB120, 2)) <=> v129(constB120, 2)) | (~v90(constB120, 2)) | v129(constB120, 2)),
% 6.73/4.91 inference(tautology,[status(thm)],[])).
% 6.73/4.91 tff(14336,plain,
% 6.73/4.91 (~v90(constB120, 2)),
% 6.73/4.91 inference(unit_resolution,[status(thm)],[14335, 14334, 14237])).
% 6.73/4.91 tff(14337,plain,
% 6.73/4.92 (((~v90(constB121, 2)) <=> v90(constB120, 2)) | (~v90(constB121, 2)) | v90(constB120, 2)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14338,plain,
% 6.73/4.92 (~v90(constB121, 2)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14337, 14336, 687])).
% 6.73/4.92 tff(14339,plain,
% 6.73/4.92 ((((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 0)) <=> v90(constB120, 0))) | (~((~v90(constB121, 0)) <=> v90(constB120, 0)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14340,plain,
% 6.73/4.92 (~((~v90(constB121, 0)) <=> v90(constB120, 0))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14339, 685])).
% 6.73/4.92 tff(14341,plain,
% 6.73/4.92 ((((~v129(constB120, 2)) <=> v127(constB119, 2)) | ((~v129(constB120, 1)) <=> v127(constB119, 1)) | ((~v129(constB120, 0)) <=> v127(constB119, 0))) | (~((~v129(constB120, 0)) <=> v127(constB119, 0)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14342,plain,
% 6.73/4.92 (~((~v129(constB120, 0)) <=> v127(constB119, 0))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14341, 694])).
% 6.73/4.92 tff(14343,plain,
% 6.73/4.92 ((((~v127(constB119, 2)) <=> v130(constB119, 2)) | ((~v127(constB119, 1)) <=> v130(constB119, 1)) | ((~v127(constB119, 0)) <=> v130(constB119, 0))) | (~((~v127(constB119, 0)) <=> v130(constB119, 0)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14344,plain,
% 6.73/4.92 (~((~v127(constB119, 0)) <=> v130(constB119, 0))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14343, 708])).
% 6.73/4.92 tff(14345,plain,
% 6.73/4.92 ((v130(constB119, 2) | (~v130(constB119, 1)) | (~v130(constB119, 0))) | v130(constB119, 0)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14346,plain,
% 6.73/4.92 (v130(constB119, 0)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14345, 14231])).
% 6.73/4.92 tff(14347,plain,
% 6.73/4.92 (((~v127(constB119, 0)) <=> v130(constB119, 0)) | v127(constB119, 0) | (~v130(constB119, 0))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14348,plain,
% 6.73/4.92 (v127(constB119, 0)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14347, 14346, 14344])).
% 6.73/4.92 tff(14349,plain,
% 6.73/4.92 (((~v129(constB120, 0)) <=> v127(constB119, 0)) | v129(constB120, 0) | (~v127(constB119, 0))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14350,plain,
% 6.73/4.92 (v129(constB120, 0)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14349, 14348, 14342])).
% 6.73/4.92 tff(14351,plain,
% 6.73/4.92 ((((~v90(constB120, 2)) <=> v129(constB120, 2)) | ((~v90(constB120, 1)) <=> v129(constB120, 1)) | ((~v90(constB120, 0)) <=> v129(constB120, 0))) | (~((~v90(constB120, 0)) <=> v129(constB120, 0)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14352,plain,
% 6.73/4.92 (~((~v90(constB120, 0)) <=> v129(constB120, 0))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14351, 14332])).
% 6.73/4.92 tff(14353,plain,
% 6.73/4.92 (((~v90(constB120, 0)) <=> v129(constB120, 0)) | v90(constB120, 0) | (~v129(constB120, 0))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14354,plain,
% 6.73/4.92 (v90(constB120, 0)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14353, 14352, 14350])).
% 6.73/4.92 tff(14355,plain,
% 6.73/4.92 (((~v90(constB121, 0)) <=> v90(constB120, 0)) | v90(constB121, 0) | (~v90(constB120, 0))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14356,plain,
% 6.73/4.92 (v90(constB121, 0)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14355, 14354, 14340])).
% 6.73/4.92 tff(14357,plain,
% 6.73/4.92 ((((~v90(constB121, 1)) <=> v90(constB120, 1)) | ((~v90(constB121, 2)) <=> v90(constB120, 2)) | ((~v90(constB121, 0)) <=> v90(constB120, 0))) | (~((~v90(constB121, 1)) <=> v90(constB120, 1)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14358,plain,
% 6.73/4.92 (~((~v90(constB121, 1)) <=> v90(constB120, 1))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14357, 685])).
% 6.73/4.92 tff(14359,plain,
% 6.73/4.92 ((((~v129(constB120, 2)) <=> v127(constB119, 2)) | ((~v129(constB120, 1)) <=> v127(constB119, 1)) | ((~v129(constB120, 0)) <=> v127(constB119, 0))) | (~((~v129(constB120, 1)) <=> v127(constB119, 1)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14360,plain,
% 6.73/4.92 (~((~v129(constB120, 1)) <=> v127(constB119, 1))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14359, 694])).
% 6.73/4.92 tff(14361,plain,
% 6.73/4.92 ((((~v127(constB119, 2)) <=> v130(constB119, 2)) | ((~v127(constB119, 1)) <=> v130(constB119, 1)) | ((~v127(constB119, 0)) <=> v130(constB119, 0))) | (~((~v127(constB119, 1)) <=> v130(constB119, 1)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14362,plain,
% 6.73/4.92 (~((~v127(constB119, 1)) <=> v130(constB119, 1))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14361, 708])).
% 6.73/4.92 tff(14363,plain,
% 6.73/4.92 ((v130(constB119, 2) | (~v130(constB119, 1)) | (~v130(constB119, 0))) | v130(constB119, 1)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14364,plain,
% 6.73/4.92 (v130(constB119, 1)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14363, 14231])).
% 6.73/4.92 tff(14365,plain,
% 6.73/4.92 (((~v127(constB119, 1)) <=> v130(constB119, 1)) | v127(constB119, 1) | (~v130(constB119, 1))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14366,plain,
% 6.73/4.92 (v127(constB119, 1)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14365, 14364, 14362])).
% 6.73/4.92 tff(14367,plain,
% 6.73/4.92 (((~v129(constB120, 1)) <=> v127(constB119, 1)) | v129(constB120, 1) | (~v127(constB119, 1))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14368,plain,
% 6.73/4.92 (v129(constB120, 1)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14367, 14366, 14360])).
% 6.73/4.92 tff(14369,plain,
% 6.73/4.92 ((((~v90(constB120, 2)) <=> v129(constB120, 2)) | ((~v90(constB120, 1)) <=> v129(constB120, 1)) | ((~v90(constB120, 0)) <=> v129(constB120, 0))) | (~((~v90(constB120, 1)) <=> v129(constB120, 1)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14370,plain,
% 6.73/4.92 (~((~v90(constB120, 1)) <=> v129(constB120, 1))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14369, 14332])).
% 6.73/4.92 tff(14371,plain,
% 6.73/4.92 (((~v90(constB120, 1)) <=> v129(constB120, 1)) | v90(constB120, 1) | (~v129(constB120, 1))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14372,plain,
% 6.73/4.92 (v90(constB120, 1)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14371, 14370, 14368])).
% 6.73/4.92 tff(14373,plain,
% 6.73/4.92 (((~v90(constB121, 1)) <=> v90(constB120, 1)) | v90(constB121, 1) | (~v90(constB120, 1))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14374,plain,
% 6.73/4.92 (v90(constB121, 1)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14373, 14372, 14358])).
% 6.73/4.92 tff(14375,plain,
% 6.73/4.92 ((~(v90(constB121, 2) | (~v90(constB121, 1)) | (~v90(constB121, 0)))) | v90(constB121, 2) | (~v90(constB121, 1)) | (~v90(constB121, 0))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14376,plain,
% 6.73/4.92 (~(v90(constB121, 2) | (~v90(constB121, 1)) | (~v90(constB121, 0)))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14375, 14374, 14356, 14338])).
% 6.73/4.92 tff(14377,plain,
% 6.73/4.92 ((~(v122(constB121) <=> (~(v90(constB121, 2) | (~v90(constB121, 1)) | (~v90(constB121, 0)))))) | v122(constB121) | (v90(constB121, 2) | (~v90(constB121, 1)) | (~v90(constB121, 0)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14378,plain,
% 6.73/4.92 (v122(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14377, 14376, 651])).
% 6.73/4.92 tff(14379,plain,
% 6.73/4.92 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB121)) | (~(v130(constB121, 1) | v130(constB121, 0) | (~v130(constB121, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB121)) | (~(v130(constB121, 1) | v130(constB121, 0) | (~v130(constB121, 2)))))),
% 6.73/4.92 inference(rewrite,[status(thm)],[])).
% 6.73/4.92 tff(14380,plain,
% 6.73/4.92 (((~v122(constB121)) | (~(v130(constB121, 0) | v130(constB121, 1) | (~v130(constB121, 2))))) <=> ((~v122(constB121)) | (~(v130(constB121, 1) | v130(constB121, 0) | (~v130(constB121, 2)))))),
% 6.73/4.92 inference(rewrite,[status(thm)],[])).
% 6.73/4.92 tff(14381,plain,
% 6.73/4.92 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB121)) | (~(v130(constB121, 0) | v130(constB121, 1) | (~v130(constB121, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB121)) | (~(v130(constB121, 1) | v130(constB121, 0) | (~v130(constB121, 2))))))),
% 6.73/4.92 inference(monotonicity,[status(thm)],[14380])).
% 6.73/4.92 tff(14382,plain,
% 6.73/4.92 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB121)) | (~(v130(constB121, 0) | v130(constB121, 1) | (~v130(constB121, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB121)) | (~(v130(constB121, 1) | v130(constB121, 0) | (~v130(constB121, 2)))))),
% 6.73/4.92 inference(transitivity,[status(thm)],[14381, 14379])).
% 6.73/4.92 tff(14383,plain,
% 6.73/4.92 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB121)) | (~(v130(constB121, 0) | v130(constB121, 1) | (~v130(constB121, 2)))))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14384,plain,
% 6.73/4.92 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB121)) | (~(v130(constB121, 1) | v130(constB121, 0) | (~v130(constB121, 2))))),
% 6.73/4.92 inference(modus_ponens,[status(thm)],[14383, 14382])).
% 6.73/4.92 tff(14385,plain,
% 6.73/4.92 ((~v122(constB121)) | (~(v130(constB121, 1) | v130(constB121, 0) | (~v130(constB121, 2))))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14384, 5588])).
% 6.73/4.92 tff(14386,plain,
% 6.73/4.92 (~(v130(constB121, 1) | v130(constB121, 0) | (~v130(constB121, 2)))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14385, 14378])).
% 6.73/4.92 tff(14387,plain,
% 6.73/4.92 ((v130(constB121, 1) | v130(constB121, 0) | (~v130(constB121, 2))) | v130(constB121, 2)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14388,plain,
% 6.73/4.92 (v130(constB121, 2)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14387, 14386])).
% 6.73/4.92 tff(14389,plain,
% 6.73/4.92 (((~v127(constB121, 2)) <=> v130(constB121, 2)) | v127(constB121, 2) | (~v130(constB121, 2))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14390,plain,
% 6.73/4.92 (v127(constB121, 2)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14389, 14388, 631])).
% 6.73/4.92 tff(14391,plain,
% 6.73/4.92 (((~v129(constB122, 2)) <=> v127(constB121, 2)) | v129(constB122, 2) | (~v127(constB121, 2))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14392,plain,
% 6.73/4.92 (v129(constB122, 2)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14391, 14390, 617])).
% 6.73/4.92 tff(14393,plain,
% 6.73/4.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))))),
% 6.73/4.92 inference(rewrite,[status(thm)],[])).
% 6.73/4.92 tff(14394,plain,
% 6.73/4.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14395,plain,
% 6.73/4.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122)))))),
% 6.73/4.92 inference(modus_ponens,[status(thm)],[14394, 14393])).
% 6.73/4.92 tff(14396,plain,
% 6.73/4.92 (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14395, 611, 273])).
% 6.73/4.92 tff(14397,plain,
% 6.73/4.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))),
% 6.73/4.92 inference(rewrite,[status(thm)],[])).
% 6.73/4.92 tff(14398,plain,
% 6.73/4.92 (((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122)))))) <=> ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))),
% 6.73/4.92 inference(rewrite,[status(thm)],[])).
% 6.73/4.92 tff(14399,plain,
% 6.73/4.92 (((~![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) <=> (~((~v1(constB122)) | (~v102(constB122)))))))),
% 6.73/4.92 inference(monotonicity,[status(thm)],[14398])).
% 6.73/4.92 tff(14400,plain,
% 6.73/4.92 (((~![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) <=> (~((~v1(constB122)) | (~v102(constB122))))))),
% 6.73/4.92 inference(transitivity,[status(thm)],[14399, 14397])).
% 6.73/4.92 tff(14401,plain,
% 6.73/4.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122))))))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14402,plain,
% 6.73/4.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122)))))),
% 6.73/4.92 inference(modus_ponens,[status(thm)],[14401, 14400])).
% 6.73/4.92 tff(14403,plain,
% 6.73/4.92 (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14402, 611, 293])).
% 6.73/4.92 tff(14404,plain,
% 6.73/4.92 (((~![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)))),
% 6.73/4.92 inference(rewrite,[status(thm)],[])).
% 6.73/4.92 tff(14405,plain,
% 6.73/4.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122)))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14406,plain,
% 6.73/4.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122))),
% 6.73/4.92 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 6.73/4.92 tff(14407,plain,
% 6.73/4.92 ((~v102(constB122)) <=> v104(constB122)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14406, 611, 4609])).
% 6.73/4.92 tff(14408,plain,
% 6.73/4.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121)))),
% 6.73/4.92 inference(rewrite,[status(thm)],[])).
% 6.73/4.92 tff(14409,plain,
% 6.73/4.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121)))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14410,plain,
% 6.73/4.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121))),
% 6.73/4.92 inference(modus_ponens,[status(thm)],[14409, 14408])).
% 6.73/4.92 tff(14411,plain,
% 6.73/4.92 (v104(constB122) <=> v1(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14410, 611, 4623])).
% 6.73/4.92 tff(14412,plain,
% 6.73/4.92 ((~(v104(constB122) <=> v1(constB121))) | (~v104(constB122)) | v1(constB121)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14413,plain,
% 6.73/4.92 ((~(v104(constB122) <=> v1(constB121))) | (~v104(constB122))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14412, 668])).
% 6.73/4.92 tff(14414,plain,
% 6.73/4.92 (~v104(constB122)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14413, 14411])).
% 6.73/4.92 tff(14415,plain,
% 6.73/4.92 ((~((~v102(constB122)) <=> v104(constB122))) | v102(constB122) | v104(constB122)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14416,plain,
% 6.73/4.92 (v102(constB122)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14415, 14414, 14407])).
% 6.73/4.92 tff(14417,plain,
% 6.73/4.92 (v1(constB122) <=> v1(constB122)),
% 6.73/4.92 inference(rewrite,[status(thm)],[])).
% 6.73/4.92 tff(14418,axiom,(v1(constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_122')).
% 6.73/4.92 tff(14419,plain,
% 6.73/4.92 (v1(constB122)),
% 6.73/4.92 inference(modus_ponens,[status(thm)],[14418, 14417])).
% 6.73/4.92 tff(14420,plain,
% 6.73/4.92 ((~((~v1(constB122)) | (~v102(constB122)))) | (~v1(constB122)) | (~v102(constB122))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14421,plain,
% 6.73/4.92 ((~((~v1(constB122)) | (~v102(constB122)))) | (~v102(constB122))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14420, 14419])).
% 6.73/4.92 tff(14422,plain,
% 6.73/4.92 (~((~v1(constB122)) | (~v102(constB122)))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14421, 14416])).
% 6.73/4.92 tff(14423,plain,
% 6.73/4.92 ((~(v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122)))))) | v101(constB122) | ((~v1(constB122)) | (~v102(constB122)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14424,plain,
% 6.73/4.92 (v101(constB122)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14423, 14422, 14403])).
% 6.73/4.92 tff(14425,plain,
% 6.73/4.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121)))),
% 6.73/4.92 inference(rewrite,[status(thm)],[])).
% 6.73/4.92 tff(14426,plain,
% 6.73/4.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121)))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14427,plain,
% 6.73/4.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121))),
% 6.73/4.92 inference(modus_ponens,[status(thm)],[14426, 14425])).
% 6.73/4.92 tff(14428,plain,
% 6.73/4.92 (v110(constB122) <=> v108(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14427, 611, 4650])).
% 6.73/4.92 tff(14429,plain,
% 6.73/4.92 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB121) <=> (v111(constB121) | v112(constB121)))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14430,plain,
% 6.73/4.92 (v108(constB121) <=> (v111(constB121) | v112(constB121))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14429, 4661])).
% 6.73/4.92 tff(14431,plain,
% 6.73/4.92 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121)))))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14432,plain,
% 6.73/4.92 (v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121))))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14431, 4673])).
% 6.73/4.92 tff(14433,plain,
% 6.73/4.92 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB121) <=> (v114(constB121) | v125(constB121)))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14434,plain,
% 6.73/4.92 (v113(constB121) <=> (v114(constB121) | v125(constB121))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14433, 4682])).
% 6.73/4.92 tff(14435,plain,
% 6.73/4.92 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB121) <=> (v115(constB121) | v124(constB121)))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14436,plain,
% 6.73/4.92 (v114(constB121) <=> (v115(constB121) | v124(constB121))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14435, 4691])).
% 6.73/4.92 tff(14437,plain,
% 6.73/4.92 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB121) <=> (v116(constB121) | v123(constB121)))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14438,plain,
% 6.73/4.92 (v115(constB121) <=> (v116(constB121) | v123(constB121))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14437, 4700])).
% 6.73/4.92 tff(14439,plain,
% 6.73/4.92 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB121) <=> (v117(constB121) | v122(constB121)))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14440,plain,
% 6.73/4.92 (v116(constB121) <=> (v117(constB121) | v122(constB121))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14439, 4709])).
% 6.73/4.92 tff(14441,plain,
% 6.73/4.92 ((v117(constB121) | v122(constB121)) | (~v122(constB121))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14442,plain,
% 6.73/4.92 (v117(constB121) | v122(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14441, 14378])).
% 6.73/4.92 tff(14443,plain,
% 6.73/4.92 ((~(v116(constB121) <=> (v117(constB121) | v122(constB121)))) | v116(constB121) | (~(v117(constB121) | v122(constB121)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14444,plain,
% 6.73/4.92 (v116(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14443, 14442, 14440])).
% 6.73/4.92 tff(14445,plain,
% 6.73/4.92 ((v116(constB121) | v123(constB121)) | (~v116(constB121))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14446,plain,
% 6.73/4.92 (v116(constB121) | v123(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14445, 14444])).
% 6.73/4.92 tff(14447,plain,
% 6.73/4.92 ((~(v115(constB121) <=> (v116(constB121) | v123(constB121)))) | v115(constB121) | (~(v116(constB121) | v123(constB121)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14448,plain,
% 6.73/4.92 (v115(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14447, 14446, 14438])).
% 6.73/4.92 tff(14449,plain,
% 6.73/4.92 ((v115(constB121) | v124(constB121)) | (~v115(constB121))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14450,plain,
% 6.73/4.92 (v115(constB121) | v124(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14449, 14448])).
% 6.73/4.92 tff(14451,plain,
% 6.73/4.92 ((~(v114(constB121) <=> (v115(constB121) | v124(constB121)))) | v114(constB121) | (~(v115(constB121) | v124(constB121)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14452,plain,
% 6.73/4.92 (v114(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14451, 14450, 14436])).
% 6.73/4.92 tff(14453,plain,
% 6.73/4.92 ((v114(constB121) | v125(constB121)) | (~v114(constB121))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14454,plain,
% 6.73/4.92 (v114(constB121) | v125(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14453, 14452])).
% 6.73/4.92 tff(14455,plain,
% 6.73/4.92 ((~(v113(constB121) <=> (v114(constB121) | v125(constB121)))) | v113(constB121) | (~(v114(constB121) | v125(constB121)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14456,plain,
% 6.73/4.92 (v113(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14455, 14454, 14434])).
% 6.73/4.92 tff(14457,plain,
% 6.73/4.92 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB121)) <=> v111(constB121))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14458,plain,
% 6.73/4.92 ((~v126(constB121)) <=> v111(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14457, 4761])).
% 6.73/4.92 tff(14459,plain,
% 6.73/4.92 ((~((~v126(constB121)) <=> v111(constB121))) | v126(constB121) | v111(constB121)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14460,plain,
% 6.73/4.92 ((~((~v126(constB121)) <=> v111(constB121))) | v126(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14459, 624])).
% 6.73/4.92 tff(14461,plain,
% 6.73/4.92 (v126(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14460, 14458])).
% 6.73/4.92 tff(14462,plain,
% 6.73/4.92 ((~((~v113(constB121)) | (~v126(constB121)))) | (~v113(constB121)) | (~v126(constB121))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14463,plain,
% 6.73/4.92 ((~((~v113(constB121)) | (~v126(constB121)))) | (~v113(constB121))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14462, 14461])).
% 6.73/4.92 tff(14464,plain,
% 6.73/4.92 (~((~v113(constB121)) | (~v126(constB121)))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14463, 14456])).
% 6.73/4.92 tff(14465,plain,
% 6.73/4.92 ((~(v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121)))))) | v112(constB121) | ((~v113(constB121)) | (~v126(constB121)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14466,plain,
% 6.73/4.92 (v112(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14465, 14464, 14432])).
% 6.73/4.92 tff(14467,plain,
% 6.73/4.92 ((v111(constB121) | v112(constB121)) | (~v112(constB121))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14468,plain,
% 6.73/4.92 (v111(constB121) | v112(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14467, 14466])).
% 6.73/4.92 tff(14469,plain,
% 6.73/4.92 ((~(v108(constB121) <=> (v111(constB121) | v112(constB121)))) | v108(constB121) | (~(v111(constB121) | v112(constB121)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14470,plain,
% 6.73/4.92 (v108(constB121)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14469, 14468, 14430])).
% 6.73/4.92 tff(14471,plain,
% 6.73/4.92 ((~(v110(constB122) <=> v108(constB121))) | v110(constB122) | (~v108(constB121))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14472,plain,
% 6.73/4.92 (v110(constB122)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14471, 14470, 14428])).
% 6.73/4.92 tff(14473,plain,
% 6.73/4.92 ((~((~v101(constB122)) | (~v110(constB122)))) | (~v101(constB122)) | (~v110(constB122))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14474,plain,
% 6.73/4.92 (~((~v101(constB122)) | (~v110(constB122)))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14473, 14472, 14424])).
% 6.73/4.92 tff(14475,plain,
% 6.73/4.92 ((~(v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122)))))) | v100(constB122) | ((~v101(constB122)) | (~v110(constB122)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14476,plain,
% 6.73/4.92 (v100(constB122)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14475, 14474, 14396])).
% 6.73/4.92 tff(14477,plain,
% 6.73/4.92 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB122)) | (~(((~v90(constB122, 0)) <=> v129(constB122, 0)) | ((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB122)) | (~(((~v90(constB122, 0)) <=> v129(constB122, 0)) | ((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1)))))),
% 6.73/4.92 inference(rewrite,[status(thm)],[])).
% 6.73/4.92 tff(14478,plain,
% 6.73/4.92 (((~v100(constB122)) | (~(((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1)) | ((~v90(constB122, 0)) <=> v129(constB122, 0))))) <=> ((~v100(constB122)) | (~(((~v90(constB122, 0)) <=> v129(constB122, 0)) | ((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1)))))),
% 6.73/4.92 inference(rewrite,[status(thm)],[])).
% 6.73/4.92 tff(14479,plain,
% 6.73/4.92 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB122)) | (~(((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1)) | ((~v90(constB122, 0)) <=> v129(constB122, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB122)) | (~(((~v90(constB122, 0)) <=> v129(constB122, 0)) | ((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1))))))),
% 6.73/4.92 inference(monotonicity,[status(thm)],[14478])).
% 6.73/4.92 tff(14480,plain,
% 6.73/4.92 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB122)) | (~(((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1)) | ((~v90(constB122, 0)) <=> v129(constB122, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB122)) | (~(((~v90(constB122, 0)) <=> v129(constB122, 0)) | ((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1)))))),
% 6.73/4.92 inference(transitivity,[status(thm)],[14479, 14477])).
% 6.73/4.92 tff(14481,plain,
% 6.73/4.92 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB122)) | (~(((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1)) | ((~v90(constB122, 0)) <=> v129(constB122, 0)))))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14482,plain,
% 6.73/4.92 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB122)) | (~(((~v90(constB122, 0)) <=> v129(constB122, 0)) | ((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1))))),
% 6.73/4.92 inference(modus_ponens,[status(thm)],[14481, 14480])).
% 6.73/4.92 tff(14483,plain,
% 6.73/4.92 ((~v100(constB122)) | (~(((~v90(constB122, 0)) <=> v129(constB122, 0)) | ((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1))))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14482, 4794])).
% 6.73/4.92 tff(14484,plain,
% 6.73/4.92 (~(((~v90(constB122, 0)) <=> v129(constB122, 0)) | ((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1)))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14483, 14476])).
% 6.73/4.92 tff(14485,plain,
% 6.73/4.92 ((((~v90(constB122, 0)) <=> v129(constB122, 0)) | ((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1))) | (~((~v90(constB122, 2)) <=> v129(constB122, 2)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14486,plain,
% 6.73/4.92 (~((~v90(constB122, 2)) <=> v129(constB122, 2))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14485, 14484])).
% 6.73/4.92 tff(14487,plain,
% 6.73/4.92 (((~v90(constB122, 2)) <=> v129(constB122, 2)) | v90(constB122, 2) | (~v129(constB122, 2))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14488,plain,
% 6.73/4.92 (v90(constB122, 2)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14487, 14486, 14392])).
% 6.73/4.92 tff(14489,plain,
% 6.73/4.92 (((~v90(constB123, 2)) <=> v90(constB122, 2)) | v90(constB123, 2) | (~v90(constB122, 2))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14490,plain,
% 6.73/4.92 (v90(constB123, 2)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14489, 14488, 608])).
% 6.73/4.92 tff(14491,plain,
% 6.73/4.92 ((((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 0)) <=> v90(constB122, 0))) | (~((~v90(constB123, 0)) <=> v90(constB122, 0)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14492,plain,
% 6.73/4.92 (~((~v90(constB123, 0)) <=> v90(constB122, 0))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14491, 606])).
% 6.73/4.92 tff(14493,plain,
% 6.73/4.92 ((((~v129(constB122, 2)) <=> v127(constB121, 2)) | ((~v129(constB122, 1)) <=> v127(constB121, 1)) | ((~v129(constB122, 0)) <=> v127(constB121, 0))) | (~((~v129(constB122, 0)) <=> v127(constB121, 0)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14494,plain,
% 6.73/4.92 (~((~v129(constB122, 0)) <=> v127(constB121, 0))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14493, 615])).
% 6.73/4.92 tff(14495,plain,
% 6.73/4.92 ((((~v127(constB121, 2)) <=> v130(constB121, 2)) | ((~v127(constB121, 1)) <=> v130(constB121, 1)) | ((~v127(constB121, 0)) <=> v130(constB121, 0))) | (~((~v127(constB121, 0)) <=> v130(constB121, 0)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14496,plain,
% 6.73/4.92 (~((~v127(constB121, 0)) <=> v130(constB121, 0))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14495, 629])).
% 6.73/4.92 tff(14497,plain,
% 6.73/4.92 ((v130(constB121, 1) | v130(constB121, 0) | (~v130(constB121, 2))) | (~v130(constB121, 0))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14498,plain,
% 6.73/4.92 (~v130(constB121, 0)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14497, 14386])).
% 6.73/4.92 tff(14499,plain,
% 6.73/4.92 (((~v127(constB121, 0)) <=> v130(constB121, 0)) | (~v127(constB121, 0)) | v130(constB121, 0)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14500,plain,
% 6.73/4.92 (~v127(constB121, 0)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14499, 14498, 14496])).
% 6.73/4.92 tff(14501,plain,
% 6.73/4.92 (((~v129(constB122, 0)) <=> v127(constB121, 0)) | (~v129(constB122, 0)) | v127(constB121, 0)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14502,plain,
% 6.73/4.92 (~v129(constB122, 0)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14501, 14500, 14494])).
% 6.73/4.92 tff(14503,plain,
% 6.73/4.92 ((((~v90(constB122, 0)) <=> v129(constB122, 0)) | ((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1))) | (~((~v90(constB122, 0)) <=> v129(constB122, 0)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14504,plain,
% 6.73/4.92 (~((~v90(constB122, 0)) <=> v129(constB122, 0))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14503, 14484])).
% 6.73/4.92 tff(14505,plain,
% 6.73/4.92 (((~v90(constB122, 0)) <=> v129(constB122, 0)) | (~v90(constB122, 0)) | v129(constB122, 0)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14506,plain,
% 6.73/4.92 (~v90(constB122, 0)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14505, 14504, 14502])).
% 6.73/4.92 tff(14507,plain,
% 6.73/4.92 (((~v90(constB123, 0)) <=> v90(constB122, 0)) | (~v90(constB123, 0)) | v90(constB122, 0)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14508,plain,
% 6.73/4.92 (~v90(constB123, 0)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14507, 14506, 14492])).
% 6.73/4.92 tff(14509,plain,
% 6.73/4.92 ((((~v90(constB123, 1)) <=> v90(constB122, 1)) | ((~v90(constB123, 2)) <=> v90(constB122, 2)) | ((~v90(constB123, 0)) <=> v90(constB122, 0))) | (~((~v90(constB123, 1)) <=> v90(constB122, 1)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14510,plain,
% 6.73/4.92 (~((~v90(constB123, 1)) <=> v90(constB122, 1))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14509, 606])).
% 6.73/4.92 tff(14511,plain,
% 6.73/4.92 ((((~v129(constB122, 2)) <=> v127(constB121, 2)) | ((~v129(constB122, 1)) <=> v127(constB121, 1)) | ((~v129(constB122, 0)) <=> v127(constB121, 0))) | (~((~v129(constB122, 1)) <=> v127(constB121, 1)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14512,plain,
% 6.73/4.92 (~((~v129(constB122, 1)) <=> v127(constB121, 1))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14511, 615])).
% 6.73/4.92 tff(14513,plain,
% 6.73/4.92 ((((~v127(constB121, 2)) <=> v130(constB121, 2)) | ((~v127(constB121, 1)) <=> v130(constB121, 1)) | ((~v127(constB121, 0)) <=> v130(constB121, 0))) | (~((~v127(constB121, 1)) <=> v130(constB121, 1)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14514,plain,
% 6.73/4.92 (~((~v127(constB121, 1)) <=> v130(constB121, 1))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14513, 629])).
% 6.73/4.92 tff(14515,plain,
% 6.73/4.92 ((v130(constB121, 1) | v130(constB121, 0) | (~v130(constB121, 2))) | (~v130(constB121, 1))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14516,plain,
% 6.73/4.92 (~v130(constB121, 1)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14515, 14386])).
% 6.73/4.92 tff(14517,plain,
% 6.73/4.92 (((~v127(constB121, 1)) <=> v130(constB121, 1)) | (~v127(constB121, 1)) | v130(constB121, 1)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14518,plain,
% 6.73/4.92 (~v127(constB121, 1)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14517, 14516, 14514])).
% 6.73/4.92 tff(14519,plain,
% 6.73/4.92 (((~v129(constB122, 1)) <=> v127(constB121, 1)) | (~v129(constB122, 1)) | v127(constB121, 1)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14520,plain,
% 6.73/4.92 (~v129(constB122, 1)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14519, 14518, 14512])).
% 6.73/4.92 tff(14521,plain,
% 6.73/4.92 ((((~v90(constB122, 0)) <=> v129(constB122, 0)) | ((~v90(constB122, 2)) <=> v129(constB122, 2)) | ((~v90(constB122, 1)) <=> v129(constB122, 1))) | (~((~v90(constB122, 1)) <=> v129(constB122, 1)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14522,plain,
% 6.73/4.92 (~((~v90(constB122, 1)) <=> v129(constB122, 1))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14521, 14484])).
% 6.73/4.92 tff(14523,plain,
% 6.73/4.92 (((~v90(constB122, 1)) <=> v129(constB122, 1)) | (~v90(constB122, 1)) | v129(constB122, 1)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14524,plain,
% 6.73/4.92 (~v90(constB122, 1)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14523, 14522, 14520])).
% 6.73/4.92 tff(14525,plain,
% 6.73/4.92 (((~v90(constB123, 1)) <=> v90(constB122, 1)) | (~v90(constB123, 1)) | v90(constB122, 1)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14526,plain,
% 6.73/4.92 (~v90(constB123, 1)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14525, 14524, 14510])).
% 6.73/4.92 tff(14527,plain,
% 6.73/4.92 ((~(v90(constB123, 1) | v90(constB123, 0) | (~v90(constB123, 2)))) | v90(constB123, 1) | v90(constB123, 0) | (~v90(constB123, 2))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14528,plain,
% 6.73/4.92 (~(v90(constB123, 1) | v90(constB123, 0) | (~v90(constB123, 2)))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14527, 14526, 14508, 14490])).
% 6.73/4.92 tff(14529,plain,
% 6.73/4.92 ((~(v123(constB123) <=> (~(v90(constB123, 1) | v90(constB123, 0) | (~v90(constB123, 2)))))) | v123(constB123) | (v90(constB123, 1) | v90(constB123, 0) | (~v90(constB123, 2)))),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14530,plain,
% 6.73/4.92 (v123(constB123)),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14529, 14528, 572])).
% 6.73/4.92 tff(14531,plain,
% 6.73/4.92 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB123)) | (~(v130(constB123, 0) | (~v130(constB123, 2)) | (~v130(constB123, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB123)) | (~(v130(constB123, 0) | (~v130(constB123, 2)) | (~v130(constB123, 1)))))),
% 6.73/4.92 inference(rewrite,[status(thm)],[])).
% 6.73/4.92 tff(14532,plain,
% 6.73/4.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB123)) | (~(v130(constB123, 0) | (~v130(constB123, 2)) | (~v130(constB123, 1)))))),
% 6.73/4.92 inference(quant_inst,[status(thm)],[])).
% 6.73/4.92 tff(14533,plain,
% 6.73/4.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB123)) | (~(v130(constB123, 0) | (~v130(constB123, 2)) | (~v130(constB123, 1))))),
% 6.73/4.92 inference(modus_ponens,[status(thm)],[14532, 14531])).
% 6.73/4.92 tff(14534,plain,
% 6.73/4.92 ((~v123(constB123)) | (~(v130(constB123, 0) | (~v130(constB123, 2)) | (~v130(constB123, 1))))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14533, 4861])).
% 6.73/4.92 tff(14535,plain,
% 6.73/4.92 (~(v130(constB123, 0) | (~v130(constB123, 2)) | (~v130(constB123, 1)))),
% 6.73/4.92 inference(unit_resolution,[status(thm)],[14534, 14530])).
% 6.73/4.92 tff(14536,plain,
% 6.73/4.92 ((v130(constB123, 0) | (~v130(constB123, 2)) | (~v130(constB123, 1))) | v130(constB123, 2)),
% 6.73/4.92 inference(tautology,[status(thm)],[])).
% 6.73/4.92 tff(14537,plain,
% 6.73/4.92 (v130(constB123, 2)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14536, 14535])).
% 6.73/4.93 tff(14538,plain,
% 6.73/4.93 (((~v127(constB123, 2)) <=> v130(constB123, 2)) | v127(constB123, 2) | (~v130(constB123, 2))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14539,plain,
% 6.73/4.93 (v127(constB123, 2)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14538, 14537, 552])).
% 6.73/4.93 tff(14540,plain,
% 6.73/4.93 (((~v129(constB124, 2)) <=> v127(constB123, 2)) | v129(constB124, 2) | (~v127(constB123, 2))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14541,plain,
% 6.73/4.93 (v129(constB124, 2)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14540, 14539, 538])).
% 6.73/4.93 tff(14542,plain,
% 6.73/4.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14543,plain,
% 6.73/4.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14544,plain,
% 6.73/4.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124)))))),
% 6.73/4.93 inference(modus_ponens,[status(thm)],[14543, 14542])).
% 6.73/4.93 tff(14545,plain,
% 6.73/4.93 (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14544, 532, 273])).
% 6.73/4.93 tff(14546,plain,
% 6.73/4.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14547,plain,
% 6.73/4.93 (((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124)))))) <=> ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14548,plain,
% 6.73/4.93 (((~![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) <=> (~((~v1(constB124)) | (~v102(constB124)))))))),
% 6.73/4.93 inference(monotonicity,[status(thm)],[14547])).
% 6.73/4.93 tff(14549,plain,
% 6.73/4.93 (((~![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) <=> (~((~v1(constB124)) | (~v102(constB124))))))),
% 6.73/4.93 inference(transitivity,[status(thm)],[14548, 14546])).
% 6.73/4.93 tff(14550,plain,
% 6.73/4.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124))))))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14551,plain,
% 6.73/4.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124)))))),
% 6.73/4.93 inference(modus_ponens,[status(thm)],[14550, 14549])).
% 6.73/4.93 tff(14552,plain,
% 6.73/4.93 (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14551, 532, 293])).
% 6.73/4.93 tff(14553,plain,
% 6.73/4.93 (((~![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)))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14554,plain,
% 6.73/4.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124)))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14555,plain,
% 6.73/4.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124))),
% 6.73/4.93 inference(modus_ponens,[status(thm)],[14554, 14553])).
% 6.73/4.93 tff(14556,plain,
% 6.73/4.93 ((~v102(constB124)) <=> v104(constB124)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14555, 532, 4609])).
% 6.73/4.93 tff(14557,plain,
% 6.73/4.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123)))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14558,plain,
% 6.73/4.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123)))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14559,plain,
% 6.73/4.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123))),
% 6.73/4.93 inference(modus_ponens,[status(thm)],[14558, 14557])).
% 6.73/4.93 tff(14560,plain,
% 6.73/4.93 (v104(constB124) <=> v1(constB123)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14559, 532, 4623])).
% 6.73/4.93 tff(14561,plain,
% 6.73/4.93 ((~(v104(constB124) <=> v1(constB123))) | (~v104(constB124)) | v1(constB123)),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14562,plain,
% 6.73/4.93 ((~(v104(constB124) <=> v1(constB123))) | (~v104(constB124))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14561, 589])).
% 6.73/4.93 tff(14563,plain,
% 6.73/4.93 (~v104(constB124)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14562, 14560])).
% 6.73/4.93 tff(14564,plain,
% 6.73/4.93 ((~((~v102(constB124)) <=> v104(constB124))) | v102(constB124) | v104(constB124)),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14565,plain,
% 6.73/4.93 (v102(constB124)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14564, 14563, 14556])).
% 6.73/4.93 tff(14566,plain,
% 6.73/4.93 (v1(constB124) <=> v1(constB124)),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14567,axiom,(v1(constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_124')).
% 6.73/4.93 tff(14568,plain,
% 6.73/4.93 (v1(constB124)),
% 6.73/4.93 inference(modus_ponens,[status(thm)],[14567, 14566])).
% 6.73/4.93 tff(14569,plain,
% 6.73/4.93 ((~((~v1(constB124)) | (~v102(constB124)))) | (~v1(constB124)) | (~v102(constB124))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14570,plain,
% 6.73/4.93 ((~((~v1(constB124)) | (~v102(constB124)))) | (~v102(constB124))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14569, 14568])).
% 6.73/4.93 tff(14571,plain,
% 6.73/4.93 (~((~v1(constB124)) | (~v102(constB124)))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14570, 14565])).
% 6.73/4.93 tff(14572,plain,
% 6.73/4.93 ((~(v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124)))))) | v101(constB124) | ((~v1(constB124)) | (~v102(constB124)))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14573,plain,
% 6.73/4.93 (v101(constB124)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14572, 14571, 14552])).
% 6.73/4.93 tff(14574,plain,
% 6.73/4.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123)))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14575,plain,
% 6.73/4.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123)))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14576,plain,
% 6.73/4.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123))),
% 6.73/4.93 inference(modus_ponens,[status(thm)],[14575, 14574])).
% 6.73/4.93 tff(14577,plain,
% 6.73/4.93 (v110(constB124) <=> v108(constB123)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14576, 532, 4650])).
% 6.73/4.93 tff(14578,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB123) <=> (v111(constB123) | v112(constB123)))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14579,plain,
% 6.73/4.93 (v108(constB123) <=> (v111(constB123) | v112(constB123))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14578, 4661])).
% 6.73/4.93 tff(14580,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123)))))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14581,plain,
% 6.73/4.93 (v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123))))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14580, 4673])).
% 6.73/4.93 tff(14582,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB123) <=> (v114(constB123) | v125(constB123)))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14583,plain,
% 6.73/4.93 (v113(constB123) <=> (v114(constB123) | v125(constB123))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14582, 4682])).
% 6.73/4.93 tff(14584,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB123) <=> (v115(constB123) | v124(constB123)))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14585,plain,
% 6.73/4.93 (v114(constB123) <=> (v115(constB123) | v124(constB123))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14584, 4691])).
% 6.73/4.93 tff(14586,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB123) <=> (v116(constB123) | v123(constB123)))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14587,plain,
% 6.73/4.93 (v115(constB123) <=> (v116(constB123) | v123(constB123))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14586, 4700])).
% 6.73/4.93 tff(14588,plain,
% 6.73/4.93 ((v116(constB123) | v123(constB123)) | (~v123(constB123))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14589,plain,
% 6.73/4.93 (v116(constB123) | v123(constB123)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14588, 14530])).
% 6.73/4.93 tff(14590,plain,
% 6.73/4.93 ((~(v115(constB123) <=> (v116(constB123) | v123(constB123)))) | v115(constB123) | (~(v116(constB123) | v123(constB123)))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14591,plain,
% 6.73/4.93 (v115(constB123)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14590, 14589, 14587])).
% 6.73/4.93 tff(14592,plain,
% 6.73/4.93 ((v115(constB123) | v124(constB123)) | (~v115(constB123))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14593,plain,
% 6.73/4.93 (v115(constB123) | v124(constB123)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14592, 14591])).
% 6.73/4.93 tff(14594,plain,
% 6.73/4.93 ((~(v114(constB123) <=> (v115(constB123) | v124(constB123)))) | v114(constB123) | (~(v115(constB123) | v124(constB123)))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14595,plain,
% 6.73/4.93 (v114(constB123)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14594, 14593, 14585])).
% 6.73/4.93 tff(14596,plain,
% 6.73/4.93 ((v114(constB123) | v125(constB123)) | (~v114(constB123))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14597,plain,
% 6.73/4.93 (v114(constB123) | v125(constB123)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14596, 14595])).
% 6.73/4.93 tff(14598,plain,
% 6.73/4.93 ((~(v113(constB123) <=> (v114(constB123) | v125(constB123)))) | v113(constB123) | (~(v114(constB123) | v125(constB123)))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14599,plain,
% 6.73/4.93 (v113(constB123)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14598, 14597, 14583])).
% 6.73/4.93 tff(14600,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB123)) <=> v111(constB123))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14601,plain,
% 6.73/4.93 ((~v126(constB123)) <=> v111(constB123)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14600, 4761])).
% 6.73/4.93 tff(14602,plain,
% 6.73/4.93 ((~((~v126(constB123)) <=> v111(constB123))) | v126(constB123) | v111(constB123)),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14603,plain,
% 6.73/4.93 ((~((~v126(constB123)) <=> v111(constB123))) | v126(constB123)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14602, 545])).
% 6.73/4.93 tff(14604,plain,
% 6.73/4.93 (v126(constB123)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14603, 14601])).
% 6.73/4.93 tff(14605,plain,
% 6.73/4.93 ((~((~v113(constB123)) | (~v126(constB123)))) | (~v113(constB123)) | (~v126(constB123))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14606,plain,
% 6.73/4.93 ((~((~v113(constB123)) | (~v126(constB123)))) | (~v113(constB123))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14605, 14604])).
% 6.73/4.93 tff(14607,plain,
% 6.73/4.93 (~((~v113(constB123)) | (~v126(constB123)))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14606, 14599])).
% 6.73/4.93 tff(14608,plain,
% 6.73/4.93 ((~(v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123)))))) | v112(constB123) | ((~v113(constB123)) | (~v126(constB123)))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14609,plain,
% 6.73/4.93 (v112(constB123)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14608, 14607, 14581])).
% 6.73/4.93 tff(14610,plain,
% 6.73/4.93 ((v111(constB123) | v112(constB123)) | (~v112(constB123))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14611,plain,
% 6.73/4.93 (v111(constB123) | v112(constB123)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14610, 14609])).
% 6.73/4.93 tff(14612,plain,
% 6.73/4.93 ((~(v108(constB123) <=> (v111(constB123) | v112(constB123)))) | v108(constB123) | (~(v111(constB123) | v112(constB123)))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14613,plain,
% 6.73/4.93 (v108(constB123)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14612, 14611, 14579])).
% 6.73/4.93 tff(14614,plain,
% 6.73/4.93 ((~(v110(constB124) <=> v108(constB123))) | v110(constB124) | (~v108(constB123))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14615,plain,
% 6.73/4.93 (v110(constB124)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14614, 14613, 14577])).
% 6.73/4.93 tff(14616,plain,
% 6.73/4.93 ((~((~v101(constB124)) | (~v110(constB124)))) | (~v101(constB124)) | (~v110(constB124))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14617,plain,
% 6.73/4.93 (~((~v101(constB124)) | (~v110(constB124)))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14616, 14615, 14573])).
% 6.73/4.93 tff(14618,plain,
% 6.73/4.93 ((~(v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124)))))) | v100(constB124) | ((~v101(constB124)) | (~v110(constB124)))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14619,plain,
% 6.73/4.93 (v100(constB124)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14618, 14617, 14545])).
% 6.73/4.93 tff(14620,plain,
% 6.73/4.93 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB124)) | (~(((~v90(constB124, 2)) <=> v129(constB124, 2)) | ((~v90(constB124, 1)) <=> v129(constB124, 1)) | ((~v90(constB124, 0)) <=> v129(constB124, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB124)) | (~(((~v90(constB124, 2)) <=> v129(constB124, 2)) | ((~v90(constB124, 1)) <=> v129(constB124, 1)) | ((~v90(constB124, 0)) <=> v129(constB124, 0)))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14621,plain,
% 6.73/4.93 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB124)) | (~(((~v90(constB124, 2)) <=> v129(constB124, 2)) | ((~v90(constB124, 1)) <=> v129(constB124, 1)) | ((~v90(constB124, 0)) <=> v129(constB124, 0)))))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14622,plain,
% 6.73/4.93 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB124)) | (~(((~v90(constB124, 2)) <=> v129(constB124, 2)) | ((~v90(constB124, 1)) <=> v129(constB124, 1)) | ((~v90(constB124, 0)) <=> v129(constB124, 0))))),
% 6.73/4.93 inference(modus_ponens,[status(thm)],[14621, 14620])).
% 6.73/4.93 tff(14623,plain,
% 6.73/4.93 ((~v100(constB124)) | (~(((~v90(constB124, 2)) <=> v129(constB124, 2)) | ((~v90(constB124, 1)) <=> v129(constB124, 1)) | ((~v90(constB124, 0)) <=> v129(constB124, 0))))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14622, 4794])).
% 6.73/4.93 tff(14624,plain,
% 6.73/4.93 (~(((~v90(constB124, 2)) <=> v129(constB124, 2)) | ((~v90(constB124, 1)) <=> v129(constB124, 1)) | ((~v90(constB124, 0)) <=> v129(constB124, 0)))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14623, 14619])).
% 6.73/4.93 tff(14625,plain,
% 6.73/4.93 ((((~v90(constB124, 2)) <=> v129(constB124, 2)) | ((~v90(constB124, 1)) <=> v129(constB124, 1)) | ((~v90(constB124, 0)) <=> v129(constB124, 0))) | (~((~v90(constB124, 2)) <=> v129(constB124, 2)))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14626,plain,
% 6.73/4.93 (~((~v90(constB124, 2)) <=> v129(constB124, 2))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14625, 14624])).
% 6.73/4.93 tff(14627,plain,
% 6.73/4.93 (((~v90(constB124, 2)) <=> v129(constB124, 2)) | v90(constB124, 2) | (~v129(constB124, 2))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14628,plain,
% 6.73/4.93 (v90(constB124, 2)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14627, 14626, 14541])).
% 6.73/4.93 tff(14629,plain,
% 6.73/4.93 (((~v90(constB125, 2)) <=> v90(constB124, 2)) | v90(constB125, 2) | (~v90(constB124, 2))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14630,plain,
% 6.73/4.93 (v90(constB125, 2)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14629, 14628, 529])).
% 6.73/4.93 tff(14631,plain,
% 6.73/4.93 ((v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2)) | (~v90(constB125, 2))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14632,plain,
% 6.73/4.93 (v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14631, 14630])).
% 6.73/4.93 tff(14633,plain,
% 6.73/4.93 ((~(v119(constB125) <=> (~(v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2))))) | (~v119(constB125)) | (~(v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2)))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14634,plain,
% 6.73/4.93 (~v119(constB125)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14633, 14632, 493])).
% 6.73/4.93 tff(14635,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB125) <=> (~(v90(constB125, 1) | (~v90(constB125, 2)) | (~v90(constB125, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB125) <=> (~(v90(constB125, 1) | (~v90(constB125, 2)) | (~v90(constB125, 0))))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14636,plain,
% 6.73/4.93 ((v124(constB125) <=> (~(v90(constB125, 1) | (~v90(constB125, 0)) | (~v90(constB125, 2))))) <=> (v124(constB125) <=> (~(v90(constB125, 1) | (~v90(constB125, 2)) | (~v90(constB125, 0)))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14637,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB125) <=> (~(v90(constB125, 1) | (~v90(constB125, 0)) | (~v90(constB125, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB125) <=> (~(v90(constB125, 1) | (~v90(constB125, 2)) | (~v90(constB125, 0))))))),
% 6.73/4.93 inference(monotonicity,[status(thm)],[14636])).
% 6.73/4.93 tff(14638,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB125) <=> (~(v90(constB125, 1) | (~v90(constB125, 0)) | (~v90(constB125, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB125) <=> (~(v90(constB125, 1) | (~v90(constB125, 2)) | (~v90(constB125, 0))))))),
% 6.73/4.93 inference(transitivity,[status(thm)],[14637, 14635])).
% 6.73/4.93 tff(14639,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB125) <=> (~(v90(constB125, 1) | (~v90(constB125, 0)) | (~v90(constB125, 2)))))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14640,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB125) <=> (~(v90(constB125, 1) | (~v90(constB125, 2)) | (~v90(constB125, 0)))))),
% 6.73/4.93 inference(modus_ponens,[status(thm)],[14639, 14638])).
% 6.73/4.93 tff(14641,plain,
% 6.73/4.93 (v124(constB125) <=> (~(v90(constB125, 1) | (~v90(constB125, 2)) | (~v90(constB125, 0))))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14640, 4978])).
% 6.73/4.93 tff(14642,plain,
% 6.73/4.93 ((((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 0)) <=> v90(constB124, 0))) | (~((~v90(constB125, 1)) <=> v90(constB124, 1)))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14643,plain,
% 6.73/4.93 (~((~v90(constB125, 1)) <=> v90(constB124, 1))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14642, 527])).
% 6.73/4.93 tff(14644,plain,
% 6.73/4.93 ((((~v129(constB124, 2)) <=> v127(constB123, 2)) | ((~v129(constB124, 1)) <=> v127(constB123, 1)) | ((~v129(constB124, 0)) <=> v127(constB123, 0))) | (~((~v129(constB124, 1)) <=> v127(constB123, 1)))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14645,plain,
% 6.73/4.93 (~((~v129(constB124, 1)) <=> v127(constB123, 1))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14644, 536])).
% 6.73/4.93 tff(14646,plain,
% 6.73/4.93 ((((~v127(constB123, 2)) <=> v130(constB123, 2)) | ((~v127(constB123, 1)) <=> v130(constB123, 1)) | ((~v127(constB123, 0)) <=> v130(constB123, 0))) | (~((~v127(constB123, 1)) <=> v130(constB123, 1)))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14647,plain,
% 6.73/4.93 (~((~v127(constB123, 1)) <=> v130(constB123, 1))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14646, 550])).
% 6.73/4.93 tff(14648,plain,
% 6.73/4.93 ((v130(constB123, 0) | (~v130(constB123, 2)) | (~v130(constB123, 1))) | v130(constB123, 1)),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14649,plain,
% 6.73/4.93 (v130(constB123, 1)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14648, 14535])).
% 6.73/4.93 tff(14650,plain,
% 6.73/4.93 (((~v127(constB123, 1)) <=> v130(constB123, 1)) | v127(constB123, 1) | (~v130(constB123, 1))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14651,plain,
% 6.73/4.93 (v127(constB123, 1)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14650, 14649, 14647])).
% 6.73/4.93 tff(14652,plain,
% 6.73/4.93 (((~v129(constB124, 1)) <=> v127(constB123, 1)) | v129(constB124, 1) | (~v127(constB123, 1))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14653,plain,
% 6.73/4.93 (v129(constB124, 1)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14652, 14651, 14645])).
% 6.73/4.93 tff(14654,plain,
% 6.73/4.93 ((((~v90(constB124, 2)) <=> v129(constB124, 2)) | ((~v90(constB124, 1)) <=> v129(constB124, 1)) | ((~v90(constB124, 0)) <=> v129(constB124, 0))) | (~((~v90(constB124, 1)) <=> v129(constB124, 1)))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14655,plain,
% 6.73/4.93 (~((~v90(constB124, 1)) <=> v129(constB124, 1))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14654, 14624])).
% 6.73/4.93 tff(14656,plain,
% 6.73/4.93 (((~v90(constB124, 1)) <=> v129(constB124, 1)) | v90(constB124, 1) | (~v129(constB124, 1))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14657,plain,
% 6.73/4.93 (v90(constB124, 1)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14656, 14655, 14653])).
% 6.73/4.93 tff(14658,plain,
% 6.73/4.93 (((~v90(constB125, 1)) <=> v90(constB124, 1)) | v90(constB125, 1) | (~v90(constB124, 1))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14659,plain,
% 6.73/4.93 (v90(constB125, 1)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14658, 14657, 14643])).
% 6.73/4.93 tff(14660,plain,
% 6.73/4.93 ((v90(constB125, 1) | (~v90(constB125, 2)) | (~v90(constB125, 0))) | (~v90(constB125, 1))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14661,plain,
% 6.73/4.93 (v90(constB125, 1) | (~v90(constB125, 2)) | (~v90(constB125, 0))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14660, 14659])).
% 6.73/4.93 tff(14662,plain,
% 6.73/4.93 ((~(v124(constB125) <=> (~(v90(constB125, 1) | (~v90(constB125, 2)) | (~v90(constB125, 0)))))) | (~v124(constB125)) | (~(v90(constB125, 1) | (~v90(constB125, 2)) | (~v90(constB125, 0))))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14663,plain,
% 6.73/4.93 (~v124(constB125)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14662, 14661, 14641])).
% 6.73/4.93 tff(14664,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB125) <=> (~(v90(constB125, 1) | v90(constB125, 0) | (~v90(constB125, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB125) <=> (~(v90(constB125, 1) | v90(constB125, 0) | (~v90(constB125, 2))))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14665,plain,
% 6.73/4.93 ((v123(constB125) <=> (~(v90(constB125, 0) | v90(constB125, 1) | (~v90(constB125, 2))))) <=> (v123(constB125) <=> (~(v90(constB125, 1) | v90(constB125, 0) | (~v90(constB125, 2)))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14666,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB125) <=> (~(v90(constB125, 0) | v90(constB125, 1) | (~v90(constB125, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB125) <=> (~(v90(constB125, 1) | v90(constB125, 0) | (~v90(constB125, 2))))))),
% 6.73/4.93 inference(monotonicity,[status(thm)],[14665])).
% 6.73/4.93 tff(14667,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB125) <=> (~(v90(constB125, 0) | v90(constB125, 1) | (~v90(constB125, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB125) <=> (~(v90(constB125, 1) | v90(constB125, 0) | (~v90(constB125, 2))))))),
% 6.73/4.93 inference(transitivity,[status(thm)],[14666, 14664])).
% 6.73/4.93 tff(14668,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB125) <=> (~(v90(constB125, 0) | v90(constB125, 1) | (~v90(constB125, 2)))))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14669,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB125) <=> (~(v90(constB125, 1) | v90(constB125, 0) | (~v90(constB125, 2)))))),
% 6.73/4.93 inference(modus_ponens,[status(thm)],[14668, 14667])).
% 6.73/4.93 tff(14670,plain,
% 6.73/4.93 (v123(constB125) <=> (~(v90(constB125, 1) | v90(constB125, 0) | (~v90(constB125, 2))))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14669, 565])).
% 6.73/4.93 tff(14671,plain,
% 6.73/4.93 ((v90(constB125, 1) | v90(constB125, 0) | (~v90(constB125, 2))) | (~v90(constB125, 1))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14672,plain,
% 6.73/4.93 (v90(constB125, 1) | v90(constB125, 0) | (~v90(constB125, 2))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14671, 14659])).
% 6.73/4.93 tff(14673,plain,
% 6.73/4.93 ((~(v123(constB125) <=> (~(v90(constB125, 1) | v90(constB125, 0) | (~v90(constB125, 2)))))) | (~v123(constB125)) | (~(v90(constB125, 1) | v90(constB125, 0) | (~v90(constB125, 2))))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14674,plain,
% 6.73/4.93 (~v123(constB125)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14673, 14672, 14670])).
% 6.73/4.93 tff(14675,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB125) <=> (~(v90(constB125, 2) | (~v90(constB125, 1)) | (~v90(constB125, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB125) <=> (~(v90(constB125, 2) | (~v90(constB125, 1)) | (~v90(constB125, 0))))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14676,plain,
% 6.73/4.93 ((v122(constB125) <=> (~(v90(constB125, 2) | (~v90(constB125, 0)) | (~v90(constB125, 1))))) <=> (v122(constB125) <=> (~(v90(constB125, 2) | (~v90(constB125, 1)) | (~v90(constB125, 0)))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14677,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB125) <=> (~(v90(constB125, 2) | (~v90(constB125, 0)) | (~v90(constB125, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB125) <=> (~(v90(constB125, 2) | (~v90(constB125, 1)) | (~v90(constB125, 0))))))),
% 6.73/4.93 inference(monotonicity,[status(thm)],[14676])).
% 6.73/4.93 tff(14678,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB125) <=> (~(v90(constB125, 2) | (~v90(constB125, 0)) | (~v90(constB125, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB125) <=> (~(v90(constB125, 2) | (~v90(constB125, 1)) | (~v90(constB125, 0))))))),
% 6.73/4.93 inference(transitivity,[status(thm)],[14677, 14675])).
% 6.73/4.93 tff(14679,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB125) <=> (~(v90(constB125, 2) | (~v90(constB125, 0)) | (~v90(constB125, 1)))))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14680,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB125) <=> (~(v90(constB125, 2) | (~v90(constB125, 1)) | (~v90(constB125, 0)))))),
% 6.73/4.93 inference(modus_ponens,[status(thm)],[14679, 14678])).
% 6.73/4.93 tff(14681,plain,
% 6.73/4.93 (v122(constB125) <=> (~(v90(constB125, 2) | (~v90(constB125, 1)) | (~v90(constB125, 0))))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14680, 644])).
% 6.73/4.93 tff(14682,plain,
% 6.73/4.93 ((v90(constB125, 2) | (~v90(constB125, 1)) | (~v90(constB125, 0))) | (~v90(constB125, 2))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14683,plain,
% 6.73/4.93 (v90(constB125, 2) | (~v90(constB125, 1)) | (~v90(constB125, 0))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14682, 14630])).
% 6.73/4.93 tff(14684,plain,
% 6.73/4.93 ((~(v122(constB125) <=> (~(v90(constB125, 2) | (~v90(constB125, 1)) | (~v90(constB125, 0)))))) | (~v122(constB125)) | (~(v90(constB125, 2) | (~v90(constB125, 1)) | (~v90(constB125, 0))))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14685,plain,
% 6.73/4.93 (~v122(constB125)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14684, 14683, 14681])).
% 6.73/4.93 tff(14686,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB125) <=> (~(v90(constB125, 2) | v90(constB125, 0) | (~v90(constB125, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB125) <=> (~(v90(constB125, 2) | v90(constB125, 0) | (~v90(constB125, 1))))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14687,plain,
% 6.73/4.93 ((v121(constB125) <=> (~(v90(constB125, 0) | v90(constB125, 2) | (~v90(constB125, 1))))) <=> (v121(constB125) <=> (~(v90(constB125, 2) | v90(constB125, 0) | (~v90(constB125, 1)))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14688,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB125) <=> (~(v90(constB125, 0) | v90(constB125, 2) | (~v90(constB125, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB125) <=> (~(v90(constB125, 2) | v90(constB125, 0) | (~v90(constB125, 1))))))),
% 6.73/4.93 inference(monotonicity,[status(thm)],[14687])).
% 6.73/4.93 tff(14689,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB125) <=> (~(v90(constB125, 0) | v90(constB125, 2) | (~v90(constB125, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB125) <=> (~(v90(constB125, 2) | v90(constB125, 0) | (~v90(constB125, 1))))))),
% 6.73/4.93 inference(transitivity,[status(thm)],[14688, 14686])).
% 6.73/4.93 tff(14690,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB125) <=> (~(v90(constB125, 0) | v90(constB125, 2) | (~v90(constB125, 1)))))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14691,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB125) <=> (~(v90(constB125, 2) | v90(constB125, 0) | (~v90(constB125, 1)))))),
% 6.73/4.93 inference(modus_ponens,[status(thm)],[14690, 14689])).
% 6.73/4.93 tff(14692,plain,
% 6.73/4.93 (v121(constB125) <=> (~(v90(constB125, 2) | v90(constB125, 0) | (~v90(constB125, 1))))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14691, 723])).
% 6.73/4.93 tff(14693,plain,
% 6.73/4.93 ((v90(constB125, 2) | v90(constB125, 0) | (~v90(constB125, 1))) | (~v90(constB125, 2))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14694,plain,
% 6.73/4.93 (v90(constB125, 2) | v90(constB125, 0) | (~v90(constB125, 1))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14693, 14630])).
% 6.73/4.93 tff(14695,plain,
% 6.73/4.93 ((~(v121(constB125) <=> (~(v90(constB125, 2) | v90(constB125, 0) | (~v90(constB125, 1)))))) | (~v121(constB125)) | (~(v90(constB125, 2) | v90(constB125, 0) | (~v90(constB125, 1))))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14696,plain,
% 6.73/4.93 (~v121(constB125)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14695, 14694, 14692])).
% 6.73/4.93 tff(14697,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB125) <=> (~(v90(constB125, 1) | v90(constB125, 2) | (~v90(constB125, 0)))))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14698,plain,
% 6.73/4.93 (v120(constB125) <=> (~(v90(constB125, 1) | v90(constB125, 2) | (~v90(constB125, 0))))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14697, 417])).
% 6.73/4.93 tff(14699,plain,
% 6.73/4.93 ((v90(constB125, 1) | v90(constB125, 2) | (~v90(constB125, 0))) | (~v90(constB125, 2))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14700,plain,
% 6.73/4.93 (v90(constB125, 1) | v90(constB125, 2) | (~v90(constB125, 0))),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14699, 14630])).
% 6.73/4.93 tff(14701,plain,
% 6.73/4.93 ((~(v120(constB125) <=> (~(v90(constB125, 1) | v90(constB125, 2) | (~v90(constB125, 0)))))) | (~v120(constB125)) | (~(v90(constB125, 1) | v90(constB125, 2) | (~v90(constB125, 0))))),
% 6.73/4.93 inference(tautology,[status(thm)],[])).
% 6.73/4.93 tff(14702,plain,
% 6.73/4.93 (~v120(constB125)),
% 6.73/4.93 inference(unit_resolution,[status(thm)],[14701, 14700, 14698])).
% 6.73/4.93 tff(14703,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0)))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14704,plain,
% 6.73/4.93 ((v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~(v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0))))) <=> (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0)))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14705,plain,
% 6.73/4.93 ((~(v130(constB125, 1) | v130(constB125, 2) | (~v130(constB125, 0)))) <=> (~(v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0))))),
% 6.73/4.93 inference(rewrite,[status(thm)],[])).
% 6.73/4.93 tff(14706,plain,
% 6.73/4.93 ((v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~(v130(constB125, 1) | v130(constB125, 2) | (~v130(constB125, 0))))) <=> (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~(v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0)))))),
% 6.73/4.93 inference(monotonicity,[status(thm)],[14705])).
% 6.73/4.93 tff(14707,plain,
% 6.73/4.93 ((v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~(v130(constB125, 1) | v130(constB125, 2) | (~v130(constB125, 0))))) <=> (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0)))))),
% 6.73/4.93 inference(transitivity,[status(thm)],[14706, 14704])).
% 6.73/4.93 tff(14708,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~(v130(constB125, 1) | v130(constB125, 2) | (~v130(constB125, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0))))))),
% 6.73/4.93 inference(monotonicity,[status(thm)],[14707])).
% 6.73/4.93 tff(14709,plain,
% 6.73/4.93 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~(v130(constB125, 1) | v130(constB125, 2) | (~v130(constB125, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0)))))),
% 6.73/4.93 inference(transitivity,[status(thm)],[14708, 14703])).
% 6.73/4.93 tff(14710,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~(v130(constB125, 1) | v130(constB125, 2) | (~v130(constB125, 0)))))),
% 6.73/4.93 inference(quant_inst,[status(thm)],[])).
% 6.73/4.93 tff(14711,plain,
% 6.73/4.93 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0))))),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14710, 14709])).
% 6.73/4.94 tff(14712,plain,
% 6.73/4.94 (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0))))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14711, 5059])).
% 6.73/4.94 tff(14713,plain,
% 6.73/4.94 (~(v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0)))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14712, 14702, 14696, 14685, 14674, 14663, 14634])).
% 6.73/4.94 tff(14714,plain,
% 6.73/4.94 ((v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0))) | (~v130(constB125, 2))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14715,plain,
% 6.73/4.94 (~v130(constB125, 2)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14714, 14713])).
% 6.73/4.94 tff(14716,plain,
% 6.73/4.94 (((~v127(constB125, 2)) <=> v130(constB125, 2)) | (~v127(constB125, 2)) | v130(constB125, 2)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14717,plain,
% 6.73/4.94 (~v127(constB125, 2)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14716, 14715, 478])).
% 6.73/4.94 tff(14718,plain,
% 6.73/4.94 (((~v129(constB126, 2)) <=> v127(constB125, 2)) | (~v129(constB126, 2)) | v127(constB125, 2)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14719,plain,
% 6.73/4.94 (~v129(constB126, 2)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14718, 14717, 464])).
% 6.73/4.94 tff(14720,plain,
% 6.73/4.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14721,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14722,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126)))))),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14721, 14720])).
% 6.73/4.94 tff(14723,plain,
% 6.73/4.94 (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14722, 458, 273])).
% 6.73/4.94 tff(14724,plain,
% 6.73/4.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14725,plain,
% 6.73/4.94 (((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126)))))) <=> ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14726,plain,
% 6.73/4.94 (((~![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) <=> (~((~v1(constB126)) | (~v102(constB126)))))))),
% 6.73/4.94 inference(monotonicity,[status(thm)],[14725])).
% 6.73/4.94 tff(14727,plain,
% 6.73/4.94 (((~![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) <=> (~((~v1(constB126)) | (~v102(constB126))))))),
% 6.73/4.94 inference(transitivity,[status(thm)],[14726, 14724])).
% 6.73/4.94 tff(14728,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126))))))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14729,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126)))))),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14728, 14727])).
% 6.73/4.94 tff(14730,plain,
% 6.73/4.94 (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14729, 458, 293])).
% 6.73/4.94 tff(14731,plain,
% 6.73/4.94 (((~![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)))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14732,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126)))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14733,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126))),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14732, 14731])).
% 6.73/4.94 tff(14734,plain,
% 6.73/4.94 ((~v102(constB126)) <=> v104(constB126)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14733, 458, 4609])).
% 6.73/4.94 tff(14735,plain,
% 6.73/4.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125)))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14736,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125)))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14737,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125))),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14736, 14735])).
% 6.73/4.94 tff(14738,plain,
% 6.73/4.94 (v104(constB126) <=> v1(constB125)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14737, 458, 4623])).
% 6.73/4.94 tff(14739,plain,
% 6.73/4.94 ((~(v104(constB126) <=> v1(constB125))) | (~v104(constB126)) | v1(constB125)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14740,plain,
% 6.73/4.94 ((~(v104(constB126) <=> v1(constB125))) | (~v104(constB126))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14739, 510])).
% 6.73/4.94 tff(14741,plain,
% 6.73/4.94 (~v104(constB126)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14740, 14738])).
% 6.73/4.94 tff(14742,plain,
% 6.73/4.94 ((~((~v102(constB126)) <=> v104(constB126))) | v102(constB126) | v104(constB126)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14743,plain,
% 6.73/4.94 (v102(constB126)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14742, 14741, 14734])).
% 6.73/4.94 tff(14744,plain,
% 6.73/4.94 (v1(constB126) <=> v1(constB126)),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14745,axiom,(v1(constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_126')).
% 6.73/4.94 tff(14746,plain,
% 6.73/4.94 (v1(constB126)),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14745, 14744])).
% 6.73/4.94 tff(14747,plain,
% 6.73/4.94 ((~((~v1(constB126)) | (~v102(constB126)))) | (~v1(constB126)) | (~v102(constB126))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14748,plain,
% 6.73/4.94 ((~((~v1(constB126)) | (~v102(constB126)))) | (~v102(constB126))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14747, 14746])).
% 6.73/4.94 tff(14749,plain,
% 6.73/4.94 (~((~v1(constB126)) | (~v102(constB126)))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14748, 14743])).
% 6.73/4.94 tff(14750,plain,
% 6.73/4.94 ((~(v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126)))))) | v101(constB126) | ((~v1(constB126)) | (~v102(constB126)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14751,plain,
% 6.73/4.94 (v101(constB126)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14750, 14749, 14730])).
% 6.73/4.94 tff(14752,plain,
% 6.73/4.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125)))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14753,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125)))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14754,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125))),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14753, 14752])).
% 6.73/4.94 tff(14755,plain,
% 6.73/4.94 (v110(constB126) <=> v108(constB125)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14754, 458, 4650])).
% 6.73/4.94 tff(14756,plain,
% 6.73/4.94 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB125) <=> (v111(constB125) | v112(constB125)))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14757,plain,
% 6.73/4.94 (v108(constB125) <=> (v111(constB125) | v112(constB125))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14756, 4661])).
% 6.73/4.94 tff(14758,plain,
% 6.73/4.94 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125)))))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14759,plain,
% 6.73/4.94 (v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125))))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14758, 4673])).
% 6.73/4.94 tff(14760,plain,
% 6.73/4.94 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB125) <=> (v114(constB125) | v125(constB125)))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14761,plain,
% 6.73/4.94 (v113(constB125) <=> (v114(constB125) | v125(constB125))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14760, 4682])).
% 6.73/4.94 tff(14762,plain,
% 6.73/4.94 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB125) <=> (~(v90(constB125, 0) | (~v90(constB125, 1)) | (~v90(constB125, 2)))))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14763,plain,
% 6.73/4.94 (v125(constB125) <=> (~(v90(constB125, 0) | (~v90(constB125, 1)) | (~v90(constB125, 2))))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14762, 5131])).
% 6.73/4.94 tff(14764,plain,
% 6.73/4.94 ((((~v90(constB125, 1)) <=> v90(constB124, 1)) | ((~v90(constB125, 2)) <=> v90(constB124, 2)) | ((~v90(constB125, 0)) <=> v90(constB124, 0))) | (~((~v90(constB125, 0)) <=> v90(constB124, 0)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14765,plain,
% 6.73/4.94 (~((~v90(constB125, 0)) <=> v90(constB124, 0))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14764, 527])).
% 6.73/4.94 tff(14766,plain,
% 6.73/4.94 ((((~v129(constB124, 2)) <=> v127(constB123, 2)) | ((~v129(constB124, 1)) <=> v127(constB123, 1)) | ((~v129(constB124, 0)) <=> v127(constB123, 0))) | (~((~v129(constB124, 0)) <=> v127(constB123, 0)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14767,plain,
% 6.73/4.94 (~((~v129(constB124, 0)) <=> v127(constB123, 0))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14766, 536])).
% 6.73/4.94 tff(14768,plain,
% 6.73/4.94 ((((~v127(constB123, 2)) <=> v130(constB123, 2)) | ((~v127(constB123, 1)) <=> v130(constB123, 1)) | ((~v127(constB123, 0)) <=> v130(constB123, 0))) | (~((~v127(constB123, 0)) <=> v130(constB123, 0)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14769,plain,
% 6.73/4.94 (~((~v127(constB123, 0)) <=> v130(constB123, 0))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14768, 550])).
% 6.73/4.94 tff(14770,plain,
% 6.73/4.94 ((v130(constB123, 0) | (~v130(constB123, 2)) | (~v130(constB123, 1))) | (~v130(constB123, 0))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14771,plain,
% 6.73/4.94 (~v130(constB123, 0)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14770, 14535])).
% 6.73/4.94 tff(14772,plain,
% 6.73/4.94 (((~v127(constB123, 0)) <=> v130(constB123, 0)) | (~v127(constB123, 0)) | v130(constB123, 0)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14773,plain,
% 6.73/4.94 (~v127(constB123, 0)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14772, 14771, 14769])).
% 6.73/4.94 tff(14774,plain,
% 6.73/4.94 (((~v129(constB124, 0)) <=> v127(constB123, 0)) | (~v129(constB124, 0)) | v127(constB123, 0)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14775,plain,
% 6.73/4.94 (~v129(constB124, 0)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14774, 14773, 14767])).
% 6.73/4.94 tff(14776,plain,
% 6.73/4.94 ((((~v90(constB124, 2)) <=> v129(constB124, 2)) | ((~v90(constB124, 1)) <=> v129(constB124, 1)) | ((~v90(constB124, 0)) <=> v129(constB124, 0))) | (~((~v90(constB124, 0)) <=> v129(constB124, 0)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14777,plain,
% 6.73/4.94 (~((~v90(constB124, 0)) <=> v129(constB124, 0))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14776, 14624])).
% 6.73/4.94 tff(14778,plain,
% 6.73/4.94 (((~v90(constB124, 0)) <=> v129(constB124, 0)) | (~v90(constB124, 0)) | v129(constB124, 0)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14779,plain,
% 6.73/4.94 (~v90(constB124, 0)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14778, 14777, 14775])).
% 6.73/4.94 tff(14780,plain,
% 6.73/4.94 (((~v90(constB125, 0)) <=> v90(constB124, 0)) | (~v90(constB125, 0)) | v90(constB124, 0)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14781,plain,
% 6.73/4.94 (~v90(constB125, 0)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14780, 14779, 14765])).
% 6.73/4.94 tff(14782,plain,
% 6.73/4.94 ((~(v90(constB125, 0) | (~v90(constB125, 1)) | (~v90(constB125, 2)))) | v90(constB125, 0) | (~v90(constB125, 1)) | (~v90(constB125, 2))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14783,plain,
% 6.73/4.94 (~(v90(constB125, 0) | (~v90(constB125, 1)) | (~v90(constB125, 2)))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14782, 14659, 14781, 14630])).
% 6.73/4.94 tff(14784,plain,
% 6.73/4.94 ((~(v125(constB125) <=> (~(v90(constB125, 0) | (~v90(constB125, 1)) | (~v90(constB125, 2)))))) | v125(constB125) | (v90(constB125, 0) | (~v90(constB125, 1)) | (~v90(constB125, 2)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14785,plain,
% 6.73/4.94 (v125(constB125)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14784, 14783, 14763])).
% 6.73/4.94 tff(14786,plain,
% 6.73/4.94 ((v114(constB125) | v125(constB125)) | (~v125(constB125))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14787,plain,
% 6.73/4.94 (v114(constB125) | v125(constB125)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14786, 14785])).
% 6.73/4.94 tff(14788,plain,
% 6.73/4.94 ((~(v113(constB125) <=> (v114(constB125) | v125(constB125)))) | v113(constB125) | (~(v114(constB125) | v125(constB125)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14789,plain,
% 6.73/4.94 (v113(constB125)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14788, 14787, 14761])).
% 6.73/4.94 tff(14790,plain,
% 6.73/4.94 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB125)) <=> v111(constB125))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14791,plain,
% 6.73/4.94 ((~v126(constB125)) <=> v111(constB125)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14790, 4761])).
% 6.73/4.94 tff(14792,plain,
% 6.73/4.94 ((~((~v126(constB125)) <=> v111(constB125))) | v126(constB125) | v111(constB125)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14793,plain,
% 6.73/4.94 ((~((~v126(constB125)) <=> v111(constB125))) | v126(constB125)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14792, 471])).
% 6.73/4.94 tff(14794,plain,
% 6.73/4.94 (v126(constB125)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14793, 14791])).
% 6.73/4.94 tff(14795,plain,
% 6.73/4.94 ((~((~v113(constB125)) | (~v126(constB125)))) | (~v113(constB125)) | (~v126(constB125))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14796,plain,
% 6.73/4.94 ((~((~v113(constB125)) | (~v126(constB125)))) | (~v113(constB125))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14795, 14794])).
% 6.73/4.94 tff(14797,plain,
% 6.73/4.94 (~((~v113(constB125)) | (~v126(constB125)))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14796, 14789])).
% 6.73/4.94 tff(14798,plain,
% 6.73/4.94 ((~(v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125)))))) | v112(constB125) | ((~v113(constB125)) | (~v126(constB125)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14799,plain,
% 6.73/4.94 (v112(constB125)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14798, 14797, 14759])).
% 6.73/4.94 tff(14800,plain,
% 6.73/4.94 ((v111(constB125) | v112(constB125)) | (~v112(constB125))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14801,plain,
% 6.73/4.94 (v111(constB125) | v112(constB125)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14800, 14799])).
% 6.73/4.94 tff(14802,plain,
% 6.73/4.94 ((~(v108(constB125) <=> (v111(constB125) | v112(constB125)))) | v108(constB125) | (~(v111(constB125) | v112(constB125)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14803,plain,
% 6.73/4.94 (v108(constB125)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14802, 14801, 14757])).
% 6.73/4.94 tff(14804,plain,
% 6.73/4.94 ((~(v110(constB126) <=> v108(constB125))) | v110(constB126) | (~v108(constB125))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14805,plain,
% 6.73/4.94 (v110(constB126)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14804, 14803, 14755])).
% 6.73/4.94 tff(14806,plain,
% 6.73/4.94 ((~((~v101(constB126)) | (~v110(constB126)))) | (~v101(constB126)) | (~v110(constB126))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14807,plain,
% 6.73/4.94 (~((~v101(constB126)) | (~v110(constB126)))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14806, 14805, 14751])).
% 6.73/4.94 tff(14808,plain,
% 6.73/4.94 ((~(v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126)))))) | v100(constB126) | ((~v101(constB126)) | (~v110(constB126)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14809,plain,
% 6.73/4.94 (v100(constB126)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14808, 14807, 14723])).
% 6.73/4.94 tff(14810,plain,
% 6.73/4.94 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB126)) | (~(((~v90(constB126, 0)) <=> v129(constB126, 0)) | ((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB126)) | (~(((~v90(constB126, 0)) <=> v129(constB126, 0)) | ((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1)))))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14811,plain,
% 6.73/4.94 (((~v100(constB126)) | (~(((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1)) | ((~v90(constB126, 0)) <=> v129(constB126, 0))))) <=> ((~v100(constB126)) | (~(((~v90(constB126, 0)) <=> v129(constB126, 0)) | ((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1)))))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14812,plain,
% 6.73/4.94 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB126)) | (~(((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1)) | ((~v90(constB126, 0)) <=> v129(constB126, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB126)) | (~(((~v90(constB126, 0)) <=> v129(constB126, 0)) | ((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1))))))),
% 6.73/4.94 inference(monotonicity,[status(thm)],[14811])).
% 6.73/4.94 tff(14813,plain,
% 6.73/4.94 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB126)) | (~(((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1)) | ((~v90(constB126, 0)) <=> v129(constB126, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB126)) | (~(((~v90(constB126, 0)) <=> v129(constB126, 0)) | ((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1)))))),
% 6.73/4.94 inference(transitivity,[status(thm)],[14812, 14810])).
% 6.73/4.94 tff(14814,plain,
% 6.73/4.94 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB126)) | (~(((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1)) | ((~v90(constB126, 0)) <=> v129(constB126, 0)))))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14815,plain,
% 6.73/4.94 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB126)) | (~(((~v90(constB126, 0)) <=> v129(constB126, 0)) | ((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1))))),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14814, 14813])).
% 6.73/4.94 tff(14816,plain,
% 6.73/4.94 ((~v100(constB126)) | (~(((~v90(constB126, 0)) <=> v129(constB126, 0)) | ((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1))))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14815, 4794])).
% 6.73/4.94 tff(14817,plain,
% 6.73/4.94 (~(((~v90(constB126, 0)) <=> v129(constB126, 0)) | ((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1)))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14816, 14809])).
% 6.73/4.94 tff(14818,plain,
% 6.73/4.94 ((((~v90(constB126, 0)) <=> v129(constB126, 0)) | ((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1))) | (~((~v90(constB126, 2)) <=> v129(constB126, 2)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14819,plain,
% 6.73/4.94 (~((~v90(constB126, 2)) <=> v129(constB126, 2))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14818, 14817])).
% 6.73/4.94 tff(14820,plain,
% 6.73/4.94 (((~v90(constB126, 2)) <=> v129(constB126, 2)) | (~v90(constB126, 2)) | v129(constB126, 2)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14821,plain,
% 6.73/4.94 (~v90(constB126, 2)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14820, 14819, 14719])).
% 6.73/4.94 tff(14822,plain,
% 6.73/4.94 (((~v90(constB127, 2)) <=> v90(constB126, 2)) | (~v90(constB127, 2)) | v90(constB126, 2)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14823,plain,
% 6.73/4.94 (~v90(constB127, 2)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14822, 14821, 455])).
% 6.73/4.94 tff(14824,plain,
% 6.73/4.94 ((((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 0)) <=> v90(constB126, 0))) | (~((~v90(constB127, 0)) <=> v90(constB126, 0)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14825,plain,
% 6.73/4.94 (~((~v90(constB127, 0)) <=> v90(constB126, 0))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14824, 453])).
% 6.73/4.94 tff(14826,plain,
% 6.73/4.94 ((((~v129(constB126, 2)) <=> v127(constB125, 2)) | ((~v129(constB126, 1)) <=> v127(constB125, 1)) | ((~v129(constB126, 0)) <=> v127(constB125, 0))) | (~((~v129(constB126, 0)) <=> v127(constB125, 0)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14827,plain,
% 6.73/4.94 (~((~v129(constB126, 0)) <=> v127(constB125, 0))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14826, 462])).
% 6.73/4.94 tff(14828,plain,
% 6.73/4.94 ((((~v127(constB125, 2)) <=> v130(constB125, 2)) | ((~v127(constB125, 1)) <=> v130(constB125, 1)) | ((~v127(constB125, 0)) <=> v130(constB125, 0))) | (~((~v127(constB125, 0)) <=> v130(constB125, 0)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14829,plain,
% 6.73/4.94 (~((~v127(constB125, 0)) <=> v130(constB125, 0))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14828, 476])).
% 6.73/4.94 tff(14830,plain,
% 6.73/4.94 ((v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0))) | v130(constB125, 0)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14831,plain,
% 6.73/4.94 (v130(constB125, 0)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14830, 14713])).
% 6.73/4.94 tff(14832,plain,
% 6.73/4.94 (((~v127(constB125, 0)) <=> v130(constB125, 0)) | v127(constB125, 0) | (~v130(constB125, 0))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14833,plain,
% 6.73/4.94 (v127(constB125, 0)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14832, 14831, 14829])).
% 6.73/4.94 tff(14834,plain,
% 6.73/4.94 (((~v129(constB126, 0)) <=> v127(constB125, 0)) | v129(constB126, 0) | (~v127(constB125, 0))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14835,plain,
% 6.73/4.94 (v129(constB126, 0)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14834, 14833, 14827])).
% 6.73/4.94 tff(14836,plain,
% 6.73/4.94 ((((~v90(constB126, 0)) <=> v129(constB126, 0)) | ((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1))) | (~((~v90(constB126, 0)) <=> v129(constB126, 0)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14837,plain,
% 6.73/4.94 (~((~v90(constB126, 0)) <=> v129(constB126, 0))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14836, 14817])).
% 6.73/4.94 tff(14838,plain,
% 6.73/4.94 (((~v90(constB126, 0)) <=> v129(constB126, 0)) | v90(constB126, 0) | (~v129(constB126, 0))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14839,plain,
% 6.73/4.94 (v90(constB126, 0)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14838, 14837, 14835])).
% 6.73/4.94 tff(14840,plain,
% 6.73/4.94 (((~v90(constB127, 0)) <=> v90(constB126, 0)) | v90(constB127, 0) | (~v90(constB126, 0))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14841,plain,
% 6.73/4.94 (v90(constB127, 0)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14840, 14839, 14825])).
% 6.73/4.94 tff(14842,plain,
% 6.73/4.94 ((((~v90(constB127, 1)) <=> v90(constB126, 1)) | ((~v90(constB127, 2)) <=> v90(constB126, 2)) | ((~v90(constB127, 0)) <=> v90(constB126, 0))) | (~((~v90(constB127, 1)) <=> v90(constB126, 1)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14843,plain,
% 6.73/4.94 (~((~v90(constB127, 1)) <=> v90(constB126, 1))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14842, 453])).
% 6.73/4.94 tff(14844,plain,
% 6.73/4.94 ((((~v129(constB126, 2)) <=> v127(constB125, 2)) | ((~v129(constB126, 1)) <=> v127(constB125, 1)) | ((~v129(constB126, 0)) <=> v127(constB125, 0))) | (~((~v129(constB126, 1)) <=> v127(constB125, 1)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14845,plain,
% 6.73/4.94 (~((~v129(constB126, 1)) <=> v127(constB125, 1))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14844, 462])).
% 6.73/4.94 tff(14846,plain,
% 6.73/4.94 ((((~v127(constB125, 2)) <=> v130(constB125, 2)) | ((~v127(constB125, 1)) <=> v130(constB125, 1)) | ((~v127(constB125, 0)) <=> v130(constB125, 0))) | (~((~v127(constB125, 1)) <=> v130(constB125, 1)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14847,plain,
% 6.73/4.94 (~((~v127(constB125, 1)) <=> v130(constB125, 1))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14846, 476])).
% 6.73/4.94 tff(14848,plain,
% 6.73/4.94 ((v130(constB125, 2) | v130(constB125, 1) | (~v130(constB125, 0))) | (~v130(constB125, 1))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14849,plain,
% 6.73/4.94 (~v130(constB125, 1)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14848, 14713])).
% 6.73/4.94 tff(14850,plain,
% 6.73/4.94 (((~v127(constB125, 1)) <=> v130(constB125, 1)) | (~v127(constB125, 1)) | v130(constB125, 1)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14851,plain,
% 6.73/4.94 (~v127(constB125, 1)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14850, 14849, 14847])).
% 6.73/4.94 tff(14852,plain,
% 6.73/4.94 (((~v129(constB126, 1)) <=> v127(constB125, 1)) | (~v129(constB126, 1)) | v127(constB125, 1)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14853,plain,
% 6.73/4.94 (~v129(constB126, 1)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14852, 14851, 14845])).
% 6.73/4.94 tff(14854,plain,
% 6.73/4.94 ((((~v90(constB126, 0)) <=> v129(constB126, 0)) | ((~v90(constB126, 2)) <=> v129(constB126, 2)) | ((~v90(constB126, 1)) <=> v129(constB126, 1))) | (~((~v90(constB126, 1)) <=> v129(constB126, 1)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14855,plain,
% 6.73/4.94 (~((~v90(constB126, 1)) <=> v129(constB126, 1))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14854, 14817])).
% 6.73/4.94 tff(14856,plain,
% 6.73/4.94 (((~v90(constB126, 1)) <=> v129(constB126, 1)) | (~v90(constB126, 1)) | v129(constB126, 1)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14857,plain,
% 6.73/4.94 (~v90(constB126, 1)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14856, 14855, 14853])).
% 6.73/4.94 tff(14858,plain,
% 6.73/4.94 (((~v90(constB127, 1)) <=> v90(constB126, 1)) | (~v90(constB127, 1)) | v90(constB126, 1)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14859,plain,
% 6.73/4.94 (~v90(constB127, 1)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14858, 14857, 14843])).
% 6.73/4.94 tff(14860,plain,
% 6.73/4.94 ((~(v90(constB127, 1) | v90(constB127, 2) | (~v90(constB127, 0)))) | v90(constB127, 1) | v90(constB127, 2) | (~v90(constB127, 0))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14861,plain,
% 6.73/4.94 (~(v90(constB127, 1) | v90(constB127, 2) | (~v90(constB127, 0)))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14860, 14859, 14841, 14823])).
% 6.73/4.94 tff(14862,plain,
% 6.73/4.94 ((~(v120(constB127) <=> (~(v90(constB127, 1) | v90(constB127, 2) | (~v90(constB127, 0)))))) | v120(constB127) | (v90(constB127, 1) | v90(constB127, 2) | (~v90(constB127, 0)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14863,plain,
% 6.73/4.94 (v120(constB127)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14862, 14861, 419])).
% 6.73/4.94 tff(14864,plain,
% 6.73/4.94 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB127)) | (~(v130(constB127, 2) | v130(constB127, 0) | (~v130(constB127, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB127)) | (~(v130(constB127, 2) | v130(constB127, 0) | (~v130(constB127, 1)))))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14865,plain,
% 6.73/4.94 (((~v120(constB127)) | (~(v130(constB127, 0) | v130(constB127, 2) | (~v130(constB127, 1))))) <=> ((~v120(constB127)) | (~(v130(constB127, 2) | v130(constB127, 0) | (~v130(constB127, 1)))))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14866,plain,
% 6.73/4.94 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB127)) | (~(v130(constB127, 0) | v130(constB127, 2) | (~v130(constB127, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB127)) | (~(v130(constB127, 2) | v130(constB127, 0) | (~v130(constB127, 1))))))),
% 6.73/4.94 inference(monotonicity,[status(thm)],[14865])).
% 6.73/4.94 tff(14867,plain,
% 6.73/4.94 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB127)) | (~(v130(constB127, 0) | v130(constB127, 2) | (~v130(constB127, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB127)) | (~(v130(constB127, 2) | v130(constB127, 0) | (~v130(constB127, 1)))))),
% 6.73/4.94 inference(transitivity,[status(thm)],[14866, 14864])).
% 6.73/4.94 tff(14868,plain,
% 6.73/4.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB127)) | (~(v130(constB127, 0) | v130(constB127, 2) | (~v130(constB127, 1)))))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14869,plain,
% 6.73/4.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB127)) | (~(v130(constB127, 2) | v130(constB127, 0) | (~v130(constB127, 1))))),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14868, 14867])).
% 6.73/4.94 tff(14870,plain,
% 6.73/4.94 ((~v120(constB127)) | (~(v130(constB127, 2) | v130(constB127, 0) | (~v130(constB127, 1))))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14869, 5246])).
% 6.73/4.94 tff(14871,plain,
% 6.73/4.94 (~(v130(constB127, 2) | v130(constB127, 0) | (~v130(constB127, 1)))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14870, 14863])).
% 6.73/4.94 tff(14872,plain,
% 6.73/4.94 ((v130(constB127, 2) | v130(constB127, 0) | (~v130(constB127, 1))) | (~v130(constB127, 2))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14873,plain,
% 6.73/4.94 (~v130(constB127, 2)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14872, 14871])).
% 6.73/4.94 tff(14874,plain,
% 6.73/4.94 (((~v127(constB127, 2)) <=> v130(constB127, 2)) | (~v127(constB127, 2)) | v130(constB127, 2)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14875,plain,
% 6.73/4.94 (~v127(constB127, 2)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14874, 14873, 404])).
% 6.73/4.94 tff(14876,plain,
% 6.73/4.94 (((~v129(constB128, 2)) <=> v127(constB127, 2)) | (~v129(constB128, 2)) | v127(constB127, 2)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14877,plain,
% 6.73/4.94 (~v129(constB128, 2)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14876, 14875, 357])).
% 6.73/4.94 tff(14878,plain,
% 6.73/4.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14879,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14880,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128)))))),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14879, 14878])).
% 6.73/4.94 tff(14881,plain,
% 6.73/4.94 (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14880, 351, 273])).
% 6.73/4.94 tff(14882,plain,
% 6.73/4.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14883,plain,
% 6.73/4.94 (((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128)))))) <=> ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14884,plain,
% 6.73/4.94 (((~![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) <=> (~((~v1(constB128)) | (~v102(constB128)))))))),
% 6.73/4.94 inference(monotonicity,[status(thm)],[14883])).
% 6.73/4.94 tff(14885,plain,
% 6.73/4.94 (((~![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) <=> (~((~v1(constB128)) | (~v102(constB128))))))),
% 6.73/4.94 inference(transitivity,[status(thm)],[14884, 14882])).
% 6.73/4.94 tff(14886,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128))))))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14887,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128)))))),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14886, 14885])).
% 6.73/4.94 tff(14888,plain,
% 6.73/4.94 (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14887, 351, 293])).
% 6.73/4.94 tff(14889,plain,
% 6.73/4.94 (((~![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)))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14890,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128)))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14891,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128))),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14890, 14889])).
% 6.73/4.94 tff(14892,plain,
% 6.73/4.94 ((~v102(constB128)) <=> v104(constB128)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14891, 351, 4609])).
% 6.73/4.94 tff(14893,plain,
% 6.73/4.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127)))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14894,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127)))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14895,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127))),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14894, 14893])).
% 6.73/4.94 tff(14896,plain,
% 6.73/4.94 (v104(constB128) <=> v1(constB127)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14895, 351, 4623])).
% 6.73/4.94 tff(14897,plain,
% 6.73/4.94 ((~(v104(constB128) <=> v1(constB127))) | (~v104(constB128)) | v1(constB127)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14898,plain,
% 6.73/4.94 ((~(v104(constB128) <=> v1(constB127))) | (~v104(constB128))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14897, 436])).
% 6.73/4.94 tff(14899,plain,
% 6.73/4.94 (~v104(constB128)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14898, 14896])).
% 6.73/4.94 tff(14900,plain,
% 6.73/4.94 ((~((~v102(constB128)) <=> v104(constB128))) | v102(constB128) | v104(constB128)),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14901,plain,
% 6.73/4.94 (v102(constB128)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14900, 14899, 14892])).
% 6.73/4.94 tff(14902,plain,
% 6.73/4.94 (v1(constB128) <=> v1(constB128)),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14903,axiom,(v1(constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_128')).
% 6.73/4.94 tff(14904,plain,
% 6.73/4.94 (v1(constB128)),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14903, 14902])).
% 6.73/4.94 tff(14905,plain,
% 6.73/4.94 ((~((~v1(constB128)) | (~v102(constB128)))) | (~v1(constB128)) | (~v102(constB128))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14906,plain,
% 6.73/4.94 ((~((~v1(constB128)) | (~v102(constB128)))) | (~v102(constB128))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14905, 14904])).
% 6.73/4.94 tff(14907,plain,
% 6.73/4.94 (~((~v1(constB128)) | (~v102(constB128)))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14906, 14901])).
% 6.73/4.94 tff(14908,plain,
% 6.73/4.94 ((~(v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128)))))) | v101(constB128) | ((~v1(constB128)) | (~v102(constB128)))),
% 6.73/4.94 inference(tautology,[status(thm)],[])).
% 6.73/4.94 tff(14909,plain,
% 6.73/4.94 (v101(constB128)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14908, 14907, 14888])).
% 6.73/4.94 tff(14910,plain,
% 6.73/4.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127)))),
% 6.73/4.94 inference(rewrite,[status(thm)],[])).
% 6.73/4.94 tff(14911,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127)))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14912,plain,
% 6.73/4.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127))),
% 6.73/4.94 inference(modus_ponens,[status(thm)],[14911, 14910])).
% 6.73/4.94 tff(14913,plain,
% 6.73/4.94 (v110(constB128) <=> v108(constB127)),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14912, 351, 4650])).
% 6.73/4.94 tff(14914,plain,
% 6.73/4.94 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB127) <=> (v111(constB127) | v112(constB127)))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14915,plain,
% 6.73/4.94 (v108(constB127) <=> (v111(constB127) | v112(constB127))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14914, 4661])).
% 6.73/4.94 tff(14916,plain,
% 6.73/4.94 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127)))))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14917,plain,
% 6.73/4.94 (v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127))))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14916, 4673])).
% 6.73/4.94 tff(14918,plain,
% 6.73/4.94 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB127) <=> (v114(constB127) | v125(constB127)))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14919,plain,
% 6.73/4.94 (v113(constB127) <=> (v114(constB127) | v125(constB127))),
% 6.73/4.94 inference(unit_resolution,[status(thm)],[14918, 4682])).
% 6.73/4.94 tff(14920,plain,
% 6.73/4.94 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB127) <=> (v115(constB127) | v124(constB127)))),
% 6.73/4.94 inference(quant_inst,[status(thm)],[])).
% 6.73/4.94 tff(14921,plain,
% 6.73/4.94 (v114(constB127) <=> (v115(constB127) | v124(constB127))),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14920, 4691])).
% 6.73/4.95 tff(14922,plain,
% 6.73/4.95 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB127) <=> (v116(constB127) | v123(constB127)))),
% 6.73/4.95 inference(quant_inst,[status(thm)],[])).
% 6.73/4.95 tff(14923,plain,
% 6.73/4.95 (v115(constB127) <=> (v116(constB127) | v123(constB127))),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14922, 4700])).
% 6.73/4.95 tff(14924,plain,
% 6.73/4.95 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB127) <=> (v117(constB127) | v122(constB127)))),
% 6.73/4.95 inference(quant_inst,[status(thm)],[])).
% 6.73/4.95 tff(14925,plain,
% 6.73/4.95 (v116(constB127) <=> (v117(constB127) | v122(constB127))),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14924, 4709])).
% 6.73/4.95 tff(14926,plain,
% 6.73/4.95 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB127) <=> (v118(constB127) | v121(constB127)))),
% 6.73/4.95 inference(quant_inst,[status(thm)],[])).
% 6.73/4.95 tff(14927,plain,
% 6.73/4.95 (v117(constB127) <=> (v118(constB127) | v121(constB127))),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14926, 4718])).
% 6.73/4.95 tff(14928,plain,
% 6.73/4.95 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB127) <=> (v119(constB127) | v120(constB127)))),
% 6.73/4.95 inference(quant_inst,[status(thm)],[])).
% 6.73/4.95 tff(14929,plain,
% 6.73/4.95 (v118(constB127) <=> (v119(constB127) | v120(constB127))),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14928, 4727])).
% 6.73/4.95 tff(14930,plain,
% 6.73/4.95 ((v119(constB127) | v120(constB127)) | (~v120(constB127))),
% 6.73/4.95 inference(tautology,[status(thm)],[])).
% 6.73/4.95 tff(14931,plain,
% 6.73/4.95 (v119(constB127) | v120(constB127)),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14930, 14863])).
% 6.73/4.95 tff(14932,plain,
% 6.73/4.95 ((~(v118(constB127) <=> (v119(constB127) | v120(constB127)))) | v118(constB127) | (~(v119(constB127) | v120(constB127)))),
% 6.73/4.95 inference(tautology,[status(thm)],[])).
% 6.73/4.95 tff(14933,plain,
% 6.73/4.95 (v118(constB127)),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14932, 14931, 14929])).
% 6.73/4.95 tff(14934,plain,
% 6.73/4.95 ((v118(constB127) | v121(constB127)) | (~v118(constB127))),
% 6.73/4.95 inference(tautology,[status(thm)],[])).
% 6.73/4.95 tff(14935,plain,
% 6.73/4.95 (v118(constB127) | v121(constB127)),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14934, 14933])).
% 6.73/4.95 tff(14936,plain,
% 6.73/4.95 ((~(v117(constB127) <=> (v118(constB127) | v121(constB127)))) | v117(constB127) | (~(v118(constB127) | v121(constB127)))),
% 6.73/4.95 inference(tautology,[status(thm)],[])).
% 6.73/4.95 tff(14937,plain,
% 6.73/4.95 (v117(constB127)),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14936, 14935, 14927])).
% 6.73/4.95 tff(14938,plain,
% 6.73/4.95 ((v117(constB127) | v122(constB127)) | (~v117(constB127))),
% 6.73/4.95 inference(tautology,[status(thm)],[])).
% 6.73/4.95 tff(14939,plain,
% 6.73/4.95 (v117(constB127) | v122(constB127)),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14938, 14937])).
% 6.73/4.95 tff(14940,plain,
% 6.73/4.95 ((~(v116(constB127) <=> (v117(constB127) | v122(constB127)))) | v116(constB127) | (~(v117(constB127) | v122(constB127)))),
% 6.73/4.95 inference(tautology,[status(thm)],[])).
% 6.73/4.95 tff(14941,plain,
% 6.73/4.95 (v116(constB127)),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14940, 14939, 14925])).
% 6.73/4.95 tff(14942,plain,
% 6.73/4.95 ((v116(constB127) | v123(constB127)) | (~v116(constB127))),
% 6.73/4.95 inference(tautology,[status(thm)],[])).
% 6.73/4.95 tff(14943,plain,
% 6.73/4.95 (v116(constB127) | v123(constB127)),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14942, 14941])).
% 6.73/4.95 tff(14944,plain,
% 6.73/4.95 ((~(v115(constB127) <=> (v116(constB127) | v123(constB127)))) | v115(constB127) | (~(v116(constB127) | v123(constB127)))),
% 6.73/4.95 inference(tautology,[status(thm)],[])).
% 6.73/4.95 tff(14945,plain,
% 6.73/4.95 (v115(constB127)),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14944, 14943, 14923])).
% 6.73/4.95 tff(14946,plain,
% 6.73/4.95 ((v115(constB127) | v124(constB127)) | (~v115(constB127))),
% 6.73/4.95 inference(tautology,[status(thm)],[])).
% 6.73/4.95 tff(14947,plain,
% 6.73/4.95 (v115(constB127) | v124(constB127)),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14946, 14945])).
% 6.73/4.95 tff(14948,plain,
% 6.73/4.95 ((~(v114(constB127) <=> (v115(constB127) | v124(constB127)))) | v114(constB127) | (~(v115(constB127) | v124(constB127)))),
% 6.73/4.95 inference(tautology,[status(thm)],[])).
% 6.73/4.95 tff(14949,plain,
% 6.73/4.95 (v114(constB127)),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14948, 14947, 14921])).
% 6.73/4.95 tff(14950,plain,
% 6.73/4.95 ((v114(constB127) | v125(constB127)) | (~v114(constB127))),
% 6.73/4.95 inference(tautology,[status(thm)],[])).
% 6.73/4.95 tff(14951,plain,
% 6.73/4.95 (v114(constB127) | v125(constB127)),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14950, 14949])).
% 6.73/4.95 tff(14952,plain,
% 6.73/4.95 ((~(v113(constB127) <=> (v114(constB127) | v125(constB127)))) | v113(constB127) | (~(v114(constB127) | v125(constB127)))),
% 6.73/4.95 inference(tautology,[status(thm)],[])).
% 6.73/4.95 tff(14953,plain,
% 6.73/4.95 (v113(constB127)),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14952, 14951, 14919])).
% 6.73/4.95 tff(14954,plain,
% 6.73/4.95 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB127)) <=> v111(constB127))),
% 6.73/4.95 inference(quant_inst,[status(thm)],[])).
% 6.73/4.95 tff(14955,plain,
% 6.73/4.95 ((~v126(constB127)) <=> v111(constB127)),
% 6.73/4.95 inference(unit_resolution,[status(thm)],[14954, 4761])).
% 6.73/4.95 tff(14956,plain,
% 6.73/4.95 ((~((~v126(constB127)) <=> v111(constB127))) | v126(constB127) | v111(constB127)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14957,plain,
% 6.76/4.95 ((~((~v126(constB127)) <=> v111(constB127))) | v126(constB127)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14956, 384])).
% 6.76/4.95 tff(14958,plain,
% 6.76/4.95 (v126(constB127)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14957, 14955])).
% 6.76/4.95 tff(14959,plain,
% 6.76/4.95 ((~((~v113(constB127)) | (~v126(constB127)))) | (~v113(constB127)) | (~v126(constB127))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14960,plain,
% 6.76/4.95 ((~((~v113(constB127)) | (~v126(constB127)))) | (~v113(constB127))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14959, 14958])).
% 6.76/4.95 tff(14961,plain,
% 6.76/4.95 (~((~v113(constB127)) | (~v126(constB127)))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14960, 14953])).
% 6.76/4.95 tff(14962,plain,
% 6.76/4.95 ((~(v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127)))))) | v112(constB127) | ((~v113(constB127)) | (~v126(constB127)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14963,plain,
% 6.76/4.95 (v112(constB127)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14962, 14961, 14917])).
% 6.76/4.95 tff(14964,plain,
% 6.76/4.95 ((v111(constB127) | v112(constB127)) | (~v112(constB127))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14965,plain,
% 6.76/4.95 (v111(constB127) | v112(constB127)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14964, 14963])).
% 6.76/4.95 tff(14966,plain,
% 6.76/4.95 ((~(v108(constB127) <=> (v111(constB127) | v112(constB127)))) | v108(constB127) | (~(v111(constB127) | v112(constB127)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14967,plain,
% 6.76/4.95 (v108(constB127)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14966, 14965, 14915])).
% 6.76/4.95 tff(14968,plain,
% 6.76/4.95 ((~(v110(constB128) <=> v108(constB127))) | v110(constB128) | (~v108(constB127))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14969,plain,
% 6.76/4.95 (v110(constB128)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14968, 14967, 14913])).
% 6.76/4.95 tff(14970,plain,
% 6.76/4.95 ((~((~v101(constB128)) | (~v110(constB128)))) | (~v101(constB128)) | (~v110(constB128))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14971,plain,
% 6.76/4.95 (~((~v101(constB128)) | (~v110(constB128)))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14970, 14969, 14909])).
% 6.76/4.95 tff(14972,plain,
% 6.76/4.95 ((~(v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128)))))) | v100(constB128) | ((~v101(constB128)) | (~v110(constB128)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14973,plain,
% 6.76/4.95 (v100(constB128)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14972, 14971, 14881])).
% 6.76/4.95 tff(14974,plain,
% 6.76/4.95 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB128)) | (~(((~v90(constB128, 2)) <=> v129(constB128, 2)) | ((~v90(constB128, 1)) <=> v129(constB128, 1)) | ((~v90(constB128, 0)) <=> v129(constB128, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB128)) | (~(((~v90(constB128, 2)) <=> v129(constB128, 2)) | ((~v90(constB128, 1)) <=> v129(constB128, 1)) | ((~v90(constB128, 0)) <=> v129(constB128, 0)))))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(14975,plain,
% 6.76/4.95 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB128)) | (~(((~v90(constB128, 2)) <=> v129(constB128, 2)) | ((~v90(constB128, 1)) <=> v129(constB128, 1)) | ((~v90(constB128, 0)) <=> v129(constB128, 0)))))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(14976,plain,
% 6.76/4.95 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB128)) | (~(((~v90(constB128, 2)) <=> v129(constB128, 2)) | ((~v90(constB128, 1)) <=> v129(constB128, 1)) | ((~v90(constB128, 0)) <=> v129(constB128, 0))))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[14975, 14974])).
% 6.76/4.95 tff(14977,plain,
% 6.76/4.95 ((~v100(constB128)) | (~(((~v90(constB128, 2)) <=> v129(constB128, 2)) | ((~v90(constB128, 1)) <=> v129(constB128, 1)) | ((~v90(constB128, 0)) <=> v129(constB128, 0))))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14976, 4794])).
% 6.76/4.95 tff(14978,plain,
% 6.76/4.95 (~(((~v90(constB128, 2)) <=> v129(constB128, 2)) | ((~v90(constB128, 1)) <=> v129(constB128, 1)) | ((~v90(constB128, 0)) <=> v129(constB128, 0)))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14977, 14973])).
% 6.76/4.95 tff(14979,plain,
% 6.76/4.95 ((((~v90(constB128, 2)) <=> v129(constB128, 2)) | ((~v90(constB128, 1)) <=> v129(constB128, 1)) | ((~v90(constB128, 0)) <=> v129(constB128, 0))) | (~((~v90(constB128, 2)) <=> v129(constB128, 2)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14980,plain,
% 6.76/4.95 (~((~v90(constB128, 2)) <=> v129(constB128, 2))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14979, 14978])).
% 6.76/4.95 tff(14981,plain,
% 6.76/4.95 (((~v90(constB128, 2)) <=> v129(constB128, 2)) | (~v90(constB128, 2)) | v129(constB128, 2)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14982,plain,
% 6.76/4.95 (~v90(constB128, 2)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14981, 14980, 14877])).
% 6.76/4.95 tff(14983,plain,
% 6.76/4.95 (((~v90(constB129, 2)) <=> v90(constB128, 2)) | (~v90(constB129, 2)) | v90(constB128, 2)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14984,plain,
% 6.76/4.95 (~v90(constB129, 2)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14983, 14982, 335])).
% 6.76/4.95 tff(14985,plain,
% 6.76/4.95 (((~v88(constB129, 2)) <=> v90(constB129, 2)) | (~v88(constB129, 2)) | v90(constB129, 2)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14986,plain,
% 6.76/4.95 (~v88(constB129, 2)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14985, 14984, 260])).
% 6.76/4.95 tff(14987,plain,
% 6.76/4.95 ((((~v88(constB129, 1)) <=> v90(constB129, 1)) | ((~v88(constB129, 2)) <=> v90(constB129, 2)) | ((~v88(constB129, 0)) <=> v90(constB129, 0))) | (~((~v88(constB129, 0)) <=> v90(constB129, 0)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14988,plain,
% 6.76/4.95 (~((~v88(constB129, 0)) <=> v90(constB129, 0))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14987, 258])).
% 6.76/4.95 tff(14989,plain,
% 6.76/4.95 ((((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 0)) <=> v90(constB128, 0))) | (~((~v90(constB129, 0)) <=> v90(constB128, 0)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14990,plain,
% 6.76/4.95 (~((~v90(constB129, 0)) <=> v90(constB128, 0))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14989, 333])).
% 6.76/4.95 tff(14991,plain,
% 6.76/4.95 ((((~v129(constB128, 2)) <=> v127(constB127, 2)) | ((~v129(constB128, 1)) <=> v127(constB127, 1)) | ((~v129(constB128, 0)) <=> v127(constB127, 0))) | (~((~v129(constB128, 0)) <=> v127(constB127, 0)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14992,plain,
% 6.76/4.95 (~((~v129(constB128, 0)) <=> v127(constB127, 0))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14991, 355])).
% 6.76/4.95 tff(14993,plain,
% 6.76/4.95 ((((~v127(constB127, 2)) <=> v130(constB127, 2)) | ((~v127(constB127, 1)) <=> v130(constB127, 1)) | ((~v127(constB127, 0)) <=> v130(constB127, 0))) | (~((~v127(constB127, 0)) <=> v130(constB127, 0)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14994,plain,
% 6.76/4.95 (~((~v127(constB127, 0)) <=> v130(constB127, 0))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14993, 402])).
% 6.76/4.95 tff(14995,plain,
% 6.76/4.95 ((v130(constB127, 2) | v130(constB127, 0) | (~v130(constB127, 1))) | (~v130(constB127, 0))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14996,plain,
% 6.76/4.95 (~v130(constB127, 0)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14995, 14871])).
% 6.76/4.95 tff(14997,plain,
% 6.76/4.95 (((~v127(constB127, 0)) <=> v130(constB127, 0)) | (~v127(constB127, 0)) | v130(constB127, 0)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(14998,plain,
% 6.76/4.95 (~v127(constB127, 0)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14997, 14996, 14994])).
% 6.76/4.95 tff(14999,plain,
% 6.76/4.95 (((~v129(constB128, 0)) <=> v127(constB127, 0)) | (~v129(constB128, 0)) | v127(constB127, 0)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15000,plain,
% 6.76/4.95 (~v129(constB128, 0)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[14999, 14998, 14992])).
% 6.76/4.95 tff(15001,plain,
% 6.76/4.95 ((((~v90(constB128, 2)) <=> v129(constB128, 2)) | ((~v90(constB128, 1)) <=> v129(constB128, 1)) | ((~v90(constB128, 0)) <=> v129(constB128, 0))) | (~((~v90(constB128, 0)) <=> v129(constB128, 0)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15002,plain,
% 6.76/4.95 (~((~v90(constB128, 0)) <=> v129(constB128, 0))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15001, 14978])).
% 6.76/4.95 tff(15003,plain,
% 6.76/4.95 (((~v90(constB128, 0)) <=> v129(constB128, 0)) | (~v90(constB128, 0)) | v129(constB128, 0)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15004,plain,
% 6.76/4.95 (~v90(constB128, 0)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15003, 15002, 15000])).
% 6.76/4.95 tff(15005,plain,
% 6.76/4.95 (((~v90(constB129, 0)) <=> v90(constB128, 0)) | (~v90(constB129, 0)) | v90(constB128, 0)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15006,plain,
% 6.76/4.95 (~v90(constB129, 0)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15005, 15004, 14990])).
% 6.76/4.95 tff(15007,plain,
% 6.76/4.95 (((~v88(constB129, 0)) <=> v90(constB129, 0)) | (~v88(constB129, 0)) | v90(constB129, 0)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15008,plain,
% 6.76/4.95 (~v88(constB129, 0)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15007, 15006, 14988])).
% 6.76/4.95 tff(15009,plain,
% 6.76/4.95 ((((~v88(constB129, 1)) <=> v90(constB129, 1)) | ((~v88(constB129, 2)) <=> v90(constB129, 2)) | ((~v88(constB129, 0)) <=> v90(constB129, 0))) | (~((~v88(constB129, 1)) <=> v90(constB129, 1)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15010,plain,
% 6.76/4.95 (~((~v88(constB129, 1)) <=> v90(constB129, 1))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15009, 258])).
% 6.76/4.95 tff(15011,plain,
% 6.76/4.95 ((((~v90(constB129, 1)) <=> v90(constB128, 1)) | ((~v90(constB129, 2)) <=> v90(constB128, 2)) | ((~v90(constB129, 0)) <=> v90(constB128, 0))) | (~((~v90(constB129, 1)) <=> v90(constB128, 1)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15012,plain,
% 6.76/4.95 (~((~v90(constB129, 1)) <=> v90(constB128, 1))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15011, 333])).
% 6.76/4.95 tff(15013,plain,
% 6.76/4.95 ((((~v129(constB128, 2)) <=> v127(constB127, 2)) | ((~v129(constB128, 1)) <=> v127(constB127, 1)) | ((~v129(constB128, 0)) <=> v127(constB127, 0))) | (~((~v129(constB128, 1)) <=> v127(constB127, 1)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15014,plain,
% 6.76/4.95 (~((~v129(constB128, 1)) <=> v127(constB127, 1))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15013, 355])).
% 6.76/4.95 tff(15015,plain,
% 6.76/4.95 ((((~v127(constB127, 2)) <=> v130(constB127, 2)) | ((~v127(constB127, 1)) <=> v130(constB127, 1)) | ((~v127(constB127, 0)) <=> v130(constB127, 0))) | (~((~v127(constB127, 1)) <=> v130(constB127, 1)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15016,plain,
% 6.76/4.95 (~((~v127(constB127, 1)) <=> v130(constB127, 1))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15015, 402])).
% 6.76/4.95 tff(15017,plain,
% 6.76/4.95 ((v130(constB127, 2) | v130(constB127, 0) | (~v130(constB127, 1))) | v130(constB127, 1)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15018,plain,
% 6.76/4.95 (v130(constB127, 1)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15017, 14871])).
% 6.76/4.95 tff(15019,plain,
% 6.76/4.95 (((~v127(constB127, 1)) <=> v130(constB127, 1)) | v127(constB127, 1) | (~v130(constB127, 1))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15020,plain,
% 6.76/4.95 (v127(constB127, 1)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15019, 15018, 15016])).
% 6.76/4.95 tff(15021,plain,
% 6.76/4.95 (((~v129(constB128, 1)) <=> v127(constB127, 1)) | v129(constB128, 1) | (~v127(constB127, 1))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15022,plain,
% 6.76/4.95 (v129(constB128, 1)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15021, 15020, 15014])).
% 6.76/4.95 tff(15023,plain,
% 6.76/4.95 ((((~v90(constB128, 2)) <=> v129(constB128, 2)) | ((~v90(constB128, 1)) <=> v129(constB128, 1)) | ((~v90(constB128, 0)) <=> v129(constB128, 0))) | (~((~v90(constB128, 1)) <=> v129(constB128, 1)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15024,plain,
% 6.76/4.95 (~((~v90(constB128, 1)) <=> v129(constB128, 1))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15023, 14978])).
% 6.76/4.95 tff(15025,plain,
% 6.76/4.95 (((~v90(constB128, 1)) <=> v129(constB128, 1)) | v90(constB128, 1) | (~v129(constB128, 1))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15026,plain,
% 6.76/4.95 (v90(constB128, 1)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15025, 15024, 15022])).
% 6.76/4.95 tff(15027,plain,
% 6.76/4.95 (((~v90(constB129, 1)) <=> v90(constB128, 1)) | v90(constB129, 1) | (~v90(constB128, 1))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15028,plain,
% 6.76/4.95 (v90(constB129, 1)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15027, 15026, 15012])).
% 6.76/4.95 tff(15029,plain,
% 6.76/4.95 (((~v88(constB129, 1)) <=> v90(constB129, 1)) | v88(constB129, 1) | (~v90(constB129, 1))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15030,plain,
% 6.76/4.95 (v88(constB129, 1)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15029, 15028, 15010])).
% 6.76/4.95 tff(15031,plain,
% 6.76/4.95 ((~((~v88(constB129, 1)) | v88(constB129, 2) | v88(constB129, 0))) | (~v88(constB129, 1)) | v88(constB129, 2) | v88(constB129, 0)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15032,plain,
% 6.76/4.95 (~((~v88(constB129, 1)) | v88(constB129, 2) | v88(constB129, 0))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15031, 15030, 15008, 14986])).
% 6.76/4.95 tff(15033,plain,
% 6.76/4.95 ((~(v143(constB129) <=> (~((~v88(constB129, 1)) | v88(constB129, 2) | v88(constB129, 0))))) | v143(constB129) | ((~v88(constB129, 1)) | v88(constB129, 2) | v88(constB129, 0))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15034,plain,
% 6.76/4.95 (v143(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15033, 15032, 243])).
% 6.76/4.95 tff(15035,plain,
% 6.76/4.95 ((v143(constB129) | v144(constB129)) | (~v143(constB129))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15036,plain,
% 6.76/4.95 (v143(constB129) | v144(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15035, 15034])).
% 6.76/4.95 tff(15037,plain,
% 6.76/4.95 ((~(v142(constB129) <=> (v143(constB129) | v144(constB129)))) | v142(constB129) | (~(v143(constB129) | v144(constB129)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15038,plain,
% 6.76/4.95 (v142(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15037, 15036, 223])).
% 6.76/4.95 tff(15039,plain,
% 6.76/4.95 ((v137(constB129) | v142(constB129)) | (~v142(constB129))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15040,plain,
% 6.76/4.95 (v137(constB129) | v142(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15039, 15038])).
% 6.76/4.95 tff(15041,plain,
% 6.76/4.95 ((~(v136(constB129) <=> (v137(constB129) | v142(constB129)))) | v136(constB129) | (~(v137(constB129) | v142(constB129)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15042,plain,
% 6.76/4.95 ((~(v136(constB129) <=> (v137(constB129) | v142(constB129)))) | v136(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15041, 15040])).
% 6.76/4.95 tff(15043,plain,
% 6.76/4.95 (v136(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15042, 214])).
% 6.76/4.95 tff(15044,plain,
% 6.76/4.95 ((v136(constB129) | v145(constB129)) | (~v136(constB129))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15045,plain,
% 6.76/4.95 (v136(constB129) | v145(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15044, 15043])).
% 6.76/4.95 tff(15046,plain,
% 6.76/4.95 ((~(v135(constB129) <=> (v136(constB129) | v145(constB129)))) | v135(constB129) | (~(v136(constB129) | v145(constB129)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15047,plain,
% 6.76/4.95 (v135(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15046, 15045, 205])).
% 6.76/4.95 tff(15048,plain,
% 6.76/4.95 (^[VarNext: state_type] : refl(((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))))),
% 6.76/4.95 inference(bind,[status(th)],[])).
% 6.76/4.95 tff(15049,plain,
% 6.76/4.95 (![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 6.76/4.95 inference(quant_intro,[status(thm)],[15048])).
% 6.76/4.95 tff(15050,plain,
% 6.76/4.95 (![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(15051,plain,
% 6.76/4.95 (^[VarNext: state_type] : rewrite((v135(VarNext) => (v86(VarNext) <=> v148(VarNext))) <=> ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))))),
% 6.76/4.95 inference(bind,[status(th)],[])).
% 6.76/4.95 tff(15052,plain,
% 6.76/4.95 (![VarNext: state_type] : (v135(VarNext) => (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 6.76/4.95 inference(quant_intro,[status(thm)],[15051])).
% 6.76/4.95 tff(15053,axiom,(![VarNext: state_type] : (v135(VarNext) => (v86(VarNext) <=> v148(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4')).
% 6.76/4.95 tff(15054,plain,
% 6.76/4.95 (![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15053, 15052])).
% 6.76/4.95 tff(15055,plain,
% 6.76/4.95 (![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15054, 15050])).
% 6.76/4.95 tff(15056,plain,(
% 6.76/4.95 ![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 6.76/4.95 inference(skolemize,[status(sab)],[15055])).
% 6.76/4.95 tff(15057,plain,
% 6.76/4.95 (![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15056, 15049])).
% 6.76/4.95 tff(15058,plain,
% 6.76/4.95 (((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB129)) | (v86(constB129) <=> v148(constB129)))) <=> ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB129)) | (v86(constB129) <=> v148(constB129)))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(15059,plain,
% 6.76/4.95 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB129)) | (v86(constB129) <=> v148(constB129)))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(15060,plain,
% 6.76/4.95 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB129)) | (v86(constB129) <=> v148(constB129))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15059, 15058])).
% 6.76/4.95 tff(15061,plain,
% 6.76/4.95 (v86(constB129) <=> v148(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15060, 15057, 15047])).
% 6.76/4.95 tff(15062,plain,
% 6.76/4.95 (^[VarCurr: state_type] : refl((v148(VarCurr) | (~v142(VarCurr))) <=> (v148(VarCurr) | (~v142(VarCurr))))),
% 6.76/4.95 inference(bind,[status(th)],[])).
% 6.76/4.95 tff(15063,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))),
% 6.76/4.95 inference(quant_intro,[status(thm)],[15062])).
% 6.76/4.95 tff(15064,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(15065,plain,
% 6.76/4.95 (^[VarCurr: state_type] : trans(monotonicity(rewrite((v148(VarCurr) <=> $true) <=> v148(VarCurr)), ((v142(VarCurr) => (v148(VarCurr) <=> $true)) <=> (v142(VarCurr) => v148(VarCurr)))), rewrite((v142(VarCurr) => v148(VarCurr)) <=> (v148(VarCurr) | (~v142(VarCurr)))), ((v142(VarCurr) => (v148(VarCurr) <=> $true)) <=> (v148(VarCurr) | (~v142(VarCurr)))))),
% 6.76/4.95 inference(bind,[status(th)],[])).
% 6.76/4.95 tff(15066,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v142(VarCurr) => (v148(VarCurr) <=> $true)) <=> ![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))),
% 6.76/4.95 inference(quant_intro,[status(thm)],[15065])).
% 6.76/4.95 tff(15067,axiom,(![VarCurr: state_type] : (v142(VarCurr) => (v148(VarCurr) <=> $true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2')).
% 6.76/4.95 tff(15068,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15067, 15066])).
% 6.76/4.95 tff(15069,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15068, 15064])).
% 6.76/4.95 tff(15070,plain,(
% 6.76/4.95 ![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))),
% 6.76/4.95 inference(skolemize,[status(sab)],[15069])).
% 6.76/4.95 tff(15071,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15070, 15063])).
% 6.76/4.95 tff(15072,plain,
% 6.76/4.95 (((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB129) | (~v142(constB129)))) <=> ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB129) | (~v142(constB129)))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(15073,plain,
% 6.76/4.95 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB129) | (~v142(constB129)))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(15074,plain,
% 6.76/4.95 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB129) | (~v142(constB129))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15073, 15072])).
% 6.76/4.95 tff(15075,plain,
% 6.76/4.95 (v148(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15074, 15071, 15038])).
% 6.76/4.95 tff(15076,plain,
% 6.76/4.95 ((~(v86(constB129) <=> v148(constB129))) | v86(constB129) | (~v148(constB129))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15077,plain,
% 6.76/4.95 ((~(v86(constB129) <=> v148(constB129))) | v86(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15076, 15075])).
% 6.76/4.95 tff(15078,plain,
% 6.76/4.95 (v86(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15077, 15061])).
% 6.76/4.95 tff(15079,plain,
% 6.76/4.95 ((~(v84(constB129) <=> v86(constB129))) | v84(constB129) | (~v86(constB129))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15080,plain,
% 6.76/4.95 ((~(v84(constB129) <=> v86(constB129))) | v84(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15079, 15078])).
% 6.76/4.95 tff(15081,plain,
% 6.76/4.95 (v84(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15080, 196])).
% 6.76/4.95 tff(15082,plain,
% 6.76/4.95 ((~((~v204(constB129)) <=> v84(constB129))) | (~v204(constB129)) | (~v84(constB129))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15083,plain,
% 6.76/4.95 ((~((~v204(constB129)) <=> v84(constB129))) | (~v204(constB129))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15082, 15081])).
% 6.76/4.95 tff(15084,plain,
% 6.76/4.95 (~v204(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15083, 187])).
% 6.76/4.95 tff(15085,plain,
% 6.76/4.95 (((~v185(constB129)) | (~v204(constB129))) | v204(constB129)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15086,plain,
% 6.76/4.95 ((~v185(constB129)) | (~v204(constB129))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15085, 15084])).
% 6.76/4.95 tff(15087,plain,
% 6.76/4.95 ((~(v203(constB129) <=> (~((~v185(constB129)) | (~v204(constB129)))))) | (~v203(constB129)) | (~((~v185(constB129)) | (~v204(constB129))))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15088,plain,
% 6.76/4.95 (~v203(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15087, 15086, 178])).
% 6.76/4.95 tff(15089,plain,
% 6.76/4.95 (((~v183(constB129)) | (~v203(constB129))) | v203(constB129)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15090,plain,
% 6.76/4.95 ((~v183(constB129)) | (~v203(constB129))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15089, 15088])).
% 6.76/4.95 tff(15091,plain,
% 6.76/4.95 ((~(v202(constB129) <=> (~((~v183(constB129)) | (~v203(constB129)))))) | (~v202(constB129)) | (~((~v183(constB129)) | (~v203(constB129))))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15092,plain,
% 6.76/4.95 (~v202(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15091, 15090, 171])).
% 6.76/4.95 tff(15093,plain,
% 6.76/4.95 (((~v157(constB129)) | (~v202(constB129))) | v202(constB129)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15094,plain,
% 6.76/4.95 ((~v157(constB129)) | (~v202(constB129))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15093, 15092])).
% 6.76/4.95 tff(15095,plain,
% 6.76/4.95 ((~(v201(constB129) <=> (~((~v157(constB129)) | (~v202(constB129)))))) | (~v201(constB129)) | (~((~v157(constB129)) | (~v202(constB129))))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15096,plain,
% 6.76/4.95 (~v201(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15095, 15094, 169])).
% 6.76/4.95 tff(15097,plain,
% 6.76/4.95 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB129) <=> (~((~v159(constB129)) | (~v202(constB129)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB129) <=> (~((~v159(constB129)) | (~v202(constB129))))))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(15098,plain,
% 6.76/4.95 ((v205(constB129) <=> (~((~v202(constB129)) | (~v159(constB129))))) <=> (v205(constB129) <=> (~((~v159(constB129)) | (~v202(constB129)))))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(15099,plain,
% 6.76/4.95 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB129) <=> (~((~v202(constB129)) | (~v159(constB129)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB129) <=> (~((~v159(constB129)) | (~v202(constB129))))))),
% 6.76/4.95 inference(monotonicity,[status(thm)],[15098])).
% 6.76/4.95 tff(15100,plain,
% 6.76/4.95 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB129) <=> (~((~v202(constB129)) | (~v159(constB129)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB129) <=> (~((~v159(constB129)) | (~v202(constB129))))))),
% 6.76/4.95 inference(transitivity,[status(thm)],[15099, 15097])).
% 6.76/4.95 tff(15101,plain,
% 6.76/4.95 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB129) <=> (~((~v202(constB129)) | (~v159(constB129)))))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(15102,plain,
% 6.76/4.95 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB129) <=> (~((~v159(constB129)) | (~v202(constB129)))))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15101, 15100])).
% 6.76/4.95 tff(15103,plain,
% 6.76/4.95 (v205(constB129) <=> (~((~v159(constB129)) | (~v202(constB129))))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15102, 138])).
% 6.76/4.95 tff(15104,plain,
% 6.76/4.95 (^[VarNext: state_type] : refl((v159(VarNext) <=> v182(VarNext)) <=> (v159(VarNext) <=> v182(VarNext)))),
% 6.76/4.95 inference(bind,[status(th)],[])).
% 6.76/4.95 tff(15105,plain,
% 6.76/4.95 (![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext)) <=> ![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))),
% 6.76/4.95 inference(quant_intro,[status(thm)],[15104])).
% 6.76/4.95 tff(15106,plain,
% 6.76/4.95 (![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext)) <=> ![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(15107,plain,
% 6.76/4.95 (^[VarNext: state_type] : rewrite(($true => (v159(VarNext) <=> v182(VarNext))) <=> (v159(VarNext) <=> v182(VarNext)))),
% 6.76/4.95 inference(bind,[status(th)],[])).
% 6.76/4.95 tff(15108,plain,
% 6.76/4.95 (![VarNext: state_type] : ($true => (v159(VarNext) <=> v182(VarNext))) <=> ![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))),
% 6.76/4.95 inference(quant_intro,[status(thm)],[15107])).
% 6.76/4.95 tff(15109,axiom,(![VarNext: state_type] : ($true => (v159(VarNext) <=> v182(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_6')).
% 6.76/4.95 tff(15110,plain,
% 6.76/4.95 (![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15109, 15108])).
% 6.76/4.95 tff(15111,plain,
% 6.76/4.95 (![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15110, 15106])).
% 6.76/4.95 tff(15112,plain,(
% 6.76/4.95 ![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))),
% 6.76/4.95 inference(skolemize,[status(sab)],[15111])).
% 6.76/4.95 tff(15113,plain,
% 6.76/4.95 (![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15112, 15105])).
% 6.76/4.95 tff(15114,plain,
% 6.76/4.95 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB129) <=> v182(constB129))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(15115,plain,
% 6.76/4.95 (v159(constB129) <=> v182(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15114, 15113])).
% 6.76/4.95 tff(15116,plain,
% 6.76/4.95 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr))))),
% 6.76/4.95 inference(bind,[status(th)],[])).
% 6.76/4.95 tff(15117,plain,
% 6.76/4.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))),
% 6.76/4.95 inference(quant_intro,[status(thm)],[15116])).
% 6.76/4.95 tff(15118,plain,
% 6.76/4.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(15119,plain,
% 6.76/4.95 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v182(VarNext) <=> v180(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr))))),
% 6.76/4.95 inference(bind,[status(th)],[])).
% 6.76/4.95 tff(15120,plain,
% 6.76/4.95 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v182(VarNext) <=> v180(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))),
% 6.76/4.95 inference(quant_intro,[status(thm)],[15119])).
% 6.76/4.95 tff(15121,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v182(VarNext) <=> v180(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_11')).
% 6.76/4.95 tff(15122,plain,
% 6.76/4.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15121, 15120])).
% 6.76/4.95 tff(15123,plain,
% 6.76/4.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15122, 15118])).
% 6.76/4.95 tff(15124,plain,(
% 6.76/4.95 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))),
% 6.76/4.95 inference(skolemize,[status(sab)],[15123])).
% 6.76/4.95 tff(15125,plain,
% 6.76/4.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15124, 15117])).
% 6.76/4.95 tff(15126,plain,
% 6.76/4.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB128, constB129)) | (v182(constB129) <=> v180(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB128, constB129)) | (v182(constB129) <=> v180(constB128)))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(15127,plain,
% 6.76/4.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB128, constB129)) | (v182(constB129) <=> v180(constB128)))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(15128,plain,
% 6.76/4.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB128, constB129)) | (v182(constB129) <=> v180(constB128))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15127, 15126])).
% 6.76/4.95 tff(15129,plain,
% 6.76/4.95 (v182(constB129) <=> v180(constB128)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15128, 276, 15125])).
% 6.76/4.95 tff(15130,plain,
% 6.76/4.95 (^[VarCurr: state_type] : refl((v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr))))) <=> (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr))))))),
% 6.76/4.95 inference(bind,[status(th)],[])).
% 6.76/4.95 tff(15131,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr))))) <=> ![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))),
% 6.76/4.95 inference(quant_intro,[status(thm)],[15130])).
% 6.76/4.95 tff(15132,plain,
% 6.76/4.95 (^[VarCurr: state_type] : rewrite((v180(VarCurr) <=> (v183(VarCurr) & v184(VarCurr))) <=> (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr))))))),
% 6.76/4.95 inference(bind,[status(th)],[])).
% 6.76/4.95 tff(15133,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v180(VarCurr) <=> (v183(VarCurr) & v184(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))),
% 6.76/4.95 inference(quant_intro,[status(thm)],[15132])).
% 6.76/4.95 tff(15134,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v180(VarCurr) <=> (v183(VarCurr) & v184(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) <=> (v183(VarCurr) & v184(VarCurr)))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(15135,axiom,(![VarCurr: state_type] : (v180(VarCurr) <=> (v183(VarCurr) & v184(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44')).
% 6.76/4.95 tff(15136,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v180(VarCurr) <=> (v183(VarCurr) & v184(VarCurr)))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15135, 15134])).
% 6.76/4.95 tff(15137,plain,(
% 6.76/4.95 ![VarCurr: state_type] : (v180(VarCurr) <=> (v183(VarCurr) & v184(VarCurr)))),
% 6.76/4.95 inference(skolemize,[status(sab)],[15136])).
% 6.76/4.95 tff(15138,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15137, 15133])).
% 6.76/4.95 tff(15139,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15138, 15131])).
% 6.76/4.95 tff(15140,plain,
% 6.76/4.95 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB128) <=> (~((~v183(constB128)) | (~v184(constB128)))))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(15141,plain,
% 6.76/4.95 (v180(constB128) <=> (~((~v183(constB128)) | (~v184(constB128))))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15140, 15139])).
% 6.76/4.95 tff(15142,plain,
% 6.76/4.95 (^[VarCurr: state_type] : refl((v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr))))) <=> (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr))))))),
% 6.76/4.95 inference(bind,[status(th)],[])).
% 6.76/4.95 tff(15143,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr))))) <=> ![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))),
% 6.76/4.95 inference(quant_intro,[status(thm)],[15142])).
% 6.76/4.95 tff(15144,plain,
% 6.76/4.95 (^[VarCurr: state_type] : rewrite((v184(VarCurr) <=> (v185(VarCurr) & v161(VarCurr))) <=> (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr))))))),
% 6.76/4.95 inference(bind,[status(th)],[])).
% 6.76/4.95 tff(15145,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v184(VarCurr) <=> (v185(VarCurr) & v161(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))),
% 6.76/4.95 inference(quant_intro,[status(thm)],[15144])).
% 6.76/4.95 tff(15146,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v184(VarCurr) <=> (v185(VarCurr) & v161(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) <=> (v185(VarCurr) & v161(VarCurr)))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(15147,axiom,(![VarCurr: state_type] : (v184(VarCurr) <=> (v185(VarCurr) & v161(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43')).
% 6.76/4.95 tff(15148,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v184(VarCurr) <=> (v185(VarCurr) & v161(VarCurr)))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15147, 15146])).
% 6.76/4.95 tff(15149,plain,(
% 6.76/4.95 ![VarCurr: state_type] : (v184(VarCurr) <=> (v185(VarCurr) & v161(VarCurr)))),
% 6.76/4.95 inference(skolemize,[status(sab)],[15148])).
% 6.76/4.95 tff(15150,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15149, 15145])).
% 6.76/4.95 tff(15151,plain,
% 6.76/4.95 (![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[15150, 15143])).
% 6.76/4.95 tff(15152,plain,
% 6.76/4.95 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB128) <=> (~((~v185(constB128)) | (~v161(constB128)))))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(15153,plain,
% 6.76/4.95 (v184(constB128) <=> (~((~v185(constB128)) | (~v161(constB128))))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15152, 15151])).
% 6.76/4.95 tff(15154,plain,
% 6.76/4.95 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB128) <=> (~((~v39(constB128)) | (~v9(constB128)))))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(15155,plain,
% 6.76/4.95 (v185(constB128) <=> (~((~v39(constB128)) | (~v9(constB128))))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15154, 93])).
% 6.76/4.95 tff(15156,plain,
% 6.76/4.95 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB128)) <=> v1(constB128))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(15157,plain,
% 6.76/4.95 ((~v39(constB128)) <=> v1(constB128)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15156, 102])).
% 6.76/4.95 tff(15158,plain,
% 6.76/4.95 ((~((~v39(constB128)) <=> v1(constB128))) | (~v39(constB128)) | (~v1(constB128))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15159,plain,
% 6.76/4.95 ((~((~v39(constB128)) <=> v1(constB128))) | (~v39(constB128))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15158, 14904])).
% 6.76/4.95 tff(15160,plain,
% 6.76/4.95 (~v39(constB128)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15159, 15157])).
% 6.76/4.95 tff(15161,plain,
% 6.76/4.95 (((~v39(constB128)) | (~v9(constB128))) | v39(constB128)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15162,plain,
% 6.76/4.95 ((~v39(constB128)) | (~v9(constB128))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15161, 15160])).
% 6.76/4.95 tff(15163,plain,
% 6.76/4.95 ((~(v185(constB128) <=> (~((~v39(constB128)) | (~v9(constB128)))))) | (~v185(constB128)) | (~((~v39(constB128)) | (~v9(constB128))))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15164,plain,
% 6.76/4.95 ((~(v185(constB128) <=> (~((~v39(constB128)) | (~v9(constB128)))))) | (~v185(constB128))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15163, 15162])).
% 6.76/4.95 tff(15165,plain,
% 6.76/4.95 (~v185(constB128)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15164, 15155])).
% 6.76/4.95 tff(15166,plain,
% 6.76/4.95 (((~v185(constB128)) | (~v161(constB128))) | v185(constB128)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15167,plain,
% 6.76/4.95 ((~v185(constB128)) | (~v161(constB128))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15166, 15165])).
% 6.76/4.95 tff(15168,plain,
% 6.76/4.95 ((~(v184(constB128) <=> (~((~v185(constB128)) | (~v161(constB128)))))) | (~v184(constB128)) | (~((~v185(constB128)) | (~v161(constB128))))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15169,plain,
% 6.76/4.95 ((~(v184(constB128) <=> (~((~v185(constB128)) | (~v161(constB128)))))) | (~v184(constB128))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15168, 15167])).
% 6.76/4.95 tff(15170,plain,
% 6.76/4.95 (~v184(constB128)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15169, 15153])).
% 6.76/4.95 tff(15171,plain,
% 6.76/4.95 (((~v183(constB128)) | (~v184(constB128))) | v184(constB128)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15172,plain,
% 6.76/4.95 ((~v183(constB128)) | (~v184(constB128))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15171, 15170])).
% 6.76/4.95 tff(15173,plain,
% 6.76/4.95 ((~(v180(constB128) <=> (~((~v183(constB128)) | (~v184(constB128)))))) | (~v180(constB128)) | (~((~v183(constB128)) | (~v184(constB128))))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15174,plain,
% 6.76/4.95 (~v180(constB128)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15173, 15172, 15141])).
% 6.76/4.95 tff(15175,plain,
% 6.76/4.95 ((~(v182(constB129) <=> v180(constB128))) | (~v182(constB129)) | v180(constB128)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15176,plain,
% 6.76/4.95 (~v182(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15175, 15174, 15129])).
% 6.76/4.95 tff(15177,plain,
% 6.76/4.95 ((~(v159(constB129) <=> v182(constB129))) | (~v159(constB129)) | v182(constB129)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15178,plain,
% 6.76/4.95 (~v159(constB129)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[15177, 15176, 15115])).
% 6.76/4.95 tff(15179,plain,
% 6.76/4.95 (((~v159(constB129)) | (~v202(constB129))) | v159(constB129)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(15180,plain,
% 6.76/4.95 ((~v159(constB129)) | (~v202(constB129))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15179, 15178])).
% 6.76/4.96 tff(15181,plain,
% 6.76/4.96 ((~(v205(constB129) <=> (~((~v159(constB129)) | (~v202(constB129)))))) | (~v205(constB129)) | (~((~v159(constB129)) | (~v202(constB129))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15182,plain,
% 6.76/4.96 (~v205(constB129)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15181, 15180, 15103])).
% 6.76/4.96 tff(15183,plain,
% 6.76/4.96 ((~(v201(constB129) | v205(constB129))) | v201(constB129) | v205(constB129)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15184,plain,
% 6.76/4.96 ((~(v201(constB129) | v205(constB129))) | v201(constB129)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15183, 15182])).
% 6.76/4.96 tff(15185,plain,
% 6.76/4.96 (~(v201(constB129) | v205(constB129))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15184, 15096])).
% 6.76/4.96 tff(15186,plain,
% 6.76/4.96 ((~(v200(constB129) <=> (v201(constB129) | v205(constB129)))) | (~v200(constB129)) | (v201(constB129) | v205(constB129))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15187,plain,
% 6.76/4.96 (~v200(constB129)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15186, 15185, 162])).
% 6.76/4.96 tff(15188,plain,
% 6.76/4.96 ($false),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15187, 160])).
% 6.76/4.96 tff(15189,plain,(~(constB129 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 6.76/4.96 tff(15190,assumption,(constB18 = VarCurr!0), introduced(assumption)).
% 6.76/4.96 tff(15191,plain,
% 6.76/4.96 (v200(constB18) <=> v200(VarCurr!0)),
% 6.76/4.96 inference(monotonicity,[status(thm)],[15190])).
% 6.76/4.96 tff(15192,plain,
% 6.76/4.96 (v200(VarCurr!0) <=> v200(constB18)),
% 6.76/4.96 inference(symmetry,[status(thm)],[15191])).
% 6.76/4.96 tff(15193,plain,
% 6.76/4.96 (v200(constB18)),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[27, 15192])).
% 6.76/4.96 tff(15194,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB18) <=> (v201(constB18) | v205(constB18)))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15195,plain,
% 6.76/4.96 (v200(constB18) <=> (v201(constB18) | v205(constB18))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15194, 35])).
% 6.76/4.96 tff(15196,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB18) <=> (~((~v157(constB18)) | (~v202(constB18)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB18) <=> (~((~v157(constB18)) | (~v202(constB18))))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15197,plain,
% 6.76/4.96 ((v201(constB18) <=> (~((~v202(constB18)) | (~v157(constB18))))) <=> (v201(constB18) <=> (~((~v157(constB18)) | (~v202(constB18)))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15198,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB18) <=> (~((~v202(constB18)) | (~v157(constB18)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB18) <=> (~((~v157(constB18)) | (~v202(constB18))))))),
% 6.76/4.96 inference(monotonicity,[status(thm)],[15197])).
% 6.76/4.96 tff(15199,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB18) <=> (~((~v202(constB18)) | (~v157(constB18)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB18) <=> (~((~v157(constB18)) | (~v202(constB18))))))),
% 6.76/4.96 inference(transitivity,[status(thm)],[15198, 15196])).
% 6.76/4.96 tff(15200,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB18) <=> (~((~v202(constB18)) | (~v157(constB18)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15201,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB18) <=> (~((~v157(constB18)) | (~v202(constB18)))))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15200, 15199])).
% 6.76/4.96 tff(15202,plain,
% 6.76/4.96 (v201(constB18) <=> (~((~v157(constB18)) | (~v202(constB18))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15201, 47])).
% 6.76/4.96 tff(15203,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB18) <=> (~((~v183(constB18)) | (~v203(constB18)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15204,plain,
% 6.76/4.96 (v202(constB18) <=> (~((~v183(constB18)) | (~v203(constB18))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15203, 64])).
% 6.76/4.96 tff(15205,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB18) <=> (~((~v185(constB18)) | (~v204(constB18)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB18) <=> (~((~v185(constB18)) | (~v204(constB18))))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15206,plain,
% 6.76/4.96 ((v203(constB18) <=> (~((~v204(constB18)) | (~v185(constB18))))) <=> (v203(constB18) <=> (~((~v185(constB18)) | (~v204(constB18)))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15207,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB18) <=> (~((~v204(constB18)) | (~v185(constB18)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB18) <=> (~((~v185(constB18)) | (~v204(constB18))))))),
% 6.76/4.96 inference(monotonicity,[status(thm)],[15206])).
% 6.76/4.96 tff(15208,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB18) <=> (~((~v204(constB18)) | (~v185(constB18)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB18) <=> (~((~v185(constB18)) | (~v204(constB18))))))),
% 6.76/4.96 inference(transitivity,[status(thm)],[15207, 15205])).
% 6.76/4.96 tff(15209,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB18) <=> (~((~v204(constB18)) | (~v185(constB18)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15210,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB18) <=> (~((~v185(constB18)) | (~v204(constB18)))))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15209, 15208])).
% 6.76/4.96 tff(15211,plain,
% 6.76/4.96 (v203(constB18) <=> (~((~v185(constB18)) | (~v204(constB18))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15210, 76])).
% 6.76/4.96 tff(15212,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15213,plain,
% 6.76/4.96 (v185(constB18) <=> (~((~v39(constB18)) | (~v9(constB18))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15212, 93])).
% 6.76/4.96 tff(15214,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB18)) <=> v1(constB18))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15215,plain,
% 6.76/4.96 ((~v39(constB18)) <=> v1(constB18)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15214, 102])).
% 6.76/4.96 tff(15216,plain,
% 6.76/4.96 ((~((~v39(constB18)) <=> v1(constB18))) | (~v39(constB18)) | (~v1(constB18))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15217,plain,
% 6.76/4.96 ((~((~v39(constB18)) <=> v1(constB18))) | (~v39(constB18))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15216, 6111])).
% 6.76/4.96 tff(15218,plain,
% 6.76/4.96 (~v39(constB18)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15217, 15215])).
% 6.76/4.96 tff(15219,plain,
% 6.76/4.96 (((~v39(constB18)) | (~v9(constB18))) | v39(constB18)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15220,plain,
% 6.76/4.96 ((~v39(constB18)) | (~v9(constB18))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15219, 15218])).
% 6.76/4.96 tff(15221,plain,
% 6.76/4.96 ((~(v185(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))) | (~v185(constB18)) | (~((~v39(constB18)) | (~v9(constB18))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15222,plain,
% 6.76/4.96 ((~(v185(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))) | (~v185(constB18))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15221, 15220])).
% 6.76/4.96 tff(15223,plain,
% 6.76/4.96 (~v185(constB18)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15222, 15213])).
% 6.76/4.96 tff(15224,plain,
% 6.76/4.96 (((~v185(constB18)) | (~v204(constB18))) | v185(constB18)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15225,plain,
% 6.76/4.96 ((~v185(constB18)) | (~v204(constB18))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15224, 15223])).
% 6.76/4.96 tff(15226,plain,
% 6.76/4.96 ((~(v203(constB18) <=> (~((~v185(constB18)) | (~v204(constB18)))))) | (~v203(constB18)) | (~((~v185(constB18)) | (~v204(constB18))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15227,plain,
% 6.76/4.96 ((~(v203(constB18) <=> (~((~v185(constB18)) | (~v204(constB18)))))) | (~v203(constB18))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15226, 15225])).
% 6.76/4.96 tff(15228,plain,
% 6.76/4.96 (~v203(constB18)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15227, 15211])).
% 6.76/4.96 tff(15229,plain,
% 6.76/4.96 (((~v183(constB18)) | (~v203(constB18))) | v203(constB18)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15230,plain,
% 6.76/4.96 ((~v183(constB18)) | (~v203(constB18))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15229, 15228])).
% 6.76/4.96 tff(15231,plain,
% 6.76/4.96 ((~(v202(constB18) <=> (~((~v183(constB18)) | (~v203(constB18)))))) | (~v202(constB18)) | (~((~v183(constB18)) | (~v203(constB18))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15232,plain,
% 6.76/4.96 (~v202(constB18)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15231, 15230, 15204])).
% 6.76/4.96 tff(15233,plain,
% 6.76/4.96 (((~v157(constB18)) | (~v202(constB18))) | v202(constB18)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15234,plain,
% 6.76/4.96 ((~v157(constB18)) | (~v202(constB18))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15233, 15232])).
% 6.76/4.96 tff(15235,plain,
% 6.76/4.96 ((~(v201(constB18) <=> (~((~v157(constB18)) | (~v202(constB18)))))) | (~v201(constB18)) | (~((~v157(constB18)) | (~v202(constB18))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15236,plain,
% 6.76/4.96 (~v201(constB18)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15235, 15234, 15202])).
% 6.76/4.96 tff(15237,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB18) <=> (~((~v159(constB18)) | (~v202(constB18)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB18) <=> (~((~v159(constB18)) | (~v202(constB18))))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15238,plain,
% 6.76/4.96 ((v205(constB18) <=> (~((~v202(constB18)) | (~v159(constB18))))) <=> (v205(constB18) <=> (~((~v159(constB18)) | (~v202(constB18)))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15239,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB18) <=> (~((~v202(constB18)) | (~v159(constB18)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB18) <=> (~((~v159(constB18)) | (~v202(constB18))))))),
% 6.76/4.96 inference(monotonicity,[status(thm)],[15238])).
% 6.76/4.96 tff(15240,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB18) <=> (~((~v202(constB18)) | (~v159(constB18)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB18) <=> (~((~v159(constB18)) | (~v202(constB18))))))),
% 6.76/4.96 inference(transitivity,[status(thm)],[15239, 15237])).
% 6.76/4.96 tff(15241,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB18) <=> (~((~v202(constB18)) | (~v159(constB18)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15242,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB18) <=> (~((~v159(constB18)) | (~v202(constB18)))))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15241, 15240])).
% 6.76/4.96 tff(15243,plain,
% 6.76/4.96 (v205(constB18) <=> (~((~v159(constB18)) | (~v202(constB18))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15242, 138])).
% 6.76/4.96 tff(15244,plain,
% 6.76/4.96 (((~v159(constB18)) | (~v202(constB18))) | v202(constB18)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15245,plain,
% 6.76/4.96 ((~v159(constB18)) | (~v202(constB18))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15244, 15232])).
% 6.76/4.96 tff(15246,plain,
% 6.76/4.96 ((~(v205(constB18) <=> (~((~v159(constB18)) | (~v202(constB18)))))) | (~v205(constB18)) | (~((~v159(constB18)) | (~v202(constB18))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15247,plain,
% 6.76/4.96 (~v205(constB18)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15246, 15245, 15243])).
% 6.76/4.96 tff(15248,plain,
% 6.76/4.96 ((~(v201(constB18) | v205(constB18))) | v201(constB18) | v205(constB18)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15249,plain,
% 6.76/4.96 (~(v201(constB18) | v205(constB18))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15248, 15247, 15236])).
% 6.76/4.96 tff(15250,plain,
% 6.76/4.96 ((~(v200(constB18) <=> (v201(constB18) | v205(constB18)))) | (~v200(constB18)) | (v201(constB18) | v205(constB18))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15251,plain,
% 6.76/4.96 ((~(v200(constB18) <=> (v201(constB18) | v205(constB18)))) | (~v200(constB18))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15250, 15249])).
% 6.76/4.96 tff(15252,plain,
% 6.76/4.96 (~v200(constB18)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15251, 15195])).
% 6.76/4.96 tff(15253,plain,
% 6.76/4.96 ($false),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15252, 15193])).
% 6.76/4.96 tff(15254,plain,(~(constB18 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 6.76/4.96 tff(15255,assumption,(constB84 = VarCurr!0), introduced(assumption)).
% 6.76/4.96 tff(15256,plain,
% 6.76/4.96 (v200(constB84) <=> v200(VarCurr!0)),
% 6.76/4.96 inference(monotonicity,[status(thm)],[15255])).
% 6.76/4.96 tff(15257,plain,
% 6.76/4.96 (v200(VarCurr!0) <=> v200(constB84)),
% 6.76/4.96 inference(symmetry,[status(thm)],[15256])).
% 6.76/4.96 tff(15258,plain,
% 6.76/4.96 (v200(constB84)),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[27, 15257])).
% 6.76/4.96 tff(15259,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB84) <=> (v201(constB84) | v205(constB84)))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15260,plain,
% 6.76/4.96 (v200(constB84) <=> (v201(constB84) | v205(constB84))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15259, 35])).
% 6.76/4.96 tff(15261,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB84) <=> (~((~v157(constB84)) | (~v202(constB84)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB84) <=> (~((~v157(constB84)) | (~v202(constB84))))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15262,plain,
% 6.76/4.96 ((v201(constB84) <=> (~((~v202(constB84)) | (~v157(constB84))))) <=> (v201(constB84) <=> (~((~v157(constB84)) | (~v202(constB84)))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15263,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB84) <=> (~((~v202(constB84)) | (~v157(constB84)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB84) <=> (~((~v157(constB84)) | (~v202(constB84))))))),
% 6.76/4.96 inference(monotonicity,[status(thm)],[15262])).
% 6.76/4.96 tff(15264,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB84) <=> (~((~v202(constB84)) | (~v157(constB84)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB84) <=> (~((~v157(constB84)) | (~v202(constB84))))))),
% 6.76/4.96 inference(transitivity,[status(thm)],[15263, 15261])).
% 6.76/4.96 tff(15265,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB84) <=> (~((~v202(constB84)) | (~v157(constB84)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15266,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB84) <=> (~((~v157(constB84)) | (~v202(constB84)))))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15265, 15264])).
% 6.76/4.96 tff(15267,plain,
% 6.76/4.96 (v201(constB84) <=> (~((~v157(constB84)) | (~v202(constB84))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15266, 47])).
% 6.76/4.96 tff(15268,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB84) <=> (~((~v183(constB84)) | (~v203(constB84)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15269,plain,
% 6.76/4.96 (v202(constB84) <=> (~((~v183(constB84)) | (~v203(constB84))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15268, 64])).
% 6.76/4.96 tff(15270,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB84) <=> (~((~v185(constB84)) | (~v204(constB84)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB84) <=> (~((~v185(constB84)) | (~v204(constB84))))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15271,plain,
% 6.76/4.96 ((v203(constB84) <=> (~((~v204(constB84)) | (~v185(constB84))))) <=> (v203(constB84) <=> (~((~v185(constB84)) | (~v204(constB84)))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15272,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB84) <=> (~((~v204(constB84)) | (~v185(constB84)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB84) <=> (~((~v185(constB84)) | (~v204(constB84))))))),
% 6.76/4.96 inference(monotonicity,[status(thm)],[15271])).
% 6.76/4.96 tff(15273,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB84) <=> (~((~v204(constB84)) | (~v185(constB84)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB84) <=> (~((~v185(constB84)) | (~v204(constB84))))))),
% 6.76/4.96 inference(transitivity,[status(thm)],[15272, 15270])).
% 6.76/4.96 tff(15274,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB84) <=> (~((~v204(constB84)) | (~v185(constB84)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15275,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB84) <=> (~((~v185(constB84)) | (~v204(constB84)))))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15274, 15273])).
% 6.76/4.96 tff(15276,plain,
% 6.76/4.96 (v203(constB84) <=> (~((~v185(constB84)) | (~v204(constB84))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15275, 76])).
% 6.76/4.96 tff(15277,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB84) <=> (~((~v39(constB84)) | (~v9(constB84)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15278,plain,
% 6.76/4.96 (v185(constB84) <=> (~((~v39(constB84)) | (~v9(constB84))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15277, 93])).
% 6.76/4.96 tff(15279,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB84)) <=> v1(constB84))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15280,plain,
% 6.76/4.96 ((~v39(constB84)) <=> v1(constB84)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15279, 102])).
% 6.76/4.96 tff(15281,plain,
% 6.76/4.96 ((~((~v39(constB84)) <=> v1(constB84))) | (~v39(constB84)) | (~v1(constB84))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15282,plain,
% 6.76/4.96 ((~((~v39(constB84)) <=> v1(constB84))) | (~v39(constB84))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15281, 11373])).
% 6.76/4.96 tff(15283,plain,
% 6.76/4.96 (~v39(constB84)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15282, 15280])).
% 6.76/4.96 tff(15284,plain,
% 6.76/4.96 (((~v39(constB84)) | (~v9(constB84))) | v39(constB84)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15285,plain,
% 6.76/4.96 ((~v39(constB84)) | (~v9(constB84))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15284, 15283])).
% 6.76/4.96 tff(15286,plain,
% 6.76/4.96 ((~(v185(constB84) <=> (~((~v39(constB84)) | (~v9(constB84)))))) | (~v185(constB84)) | (~((~v39(constB84)) | (~v9(constB84))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15287,plain,
% 6.76/4.96 ((~(v185(constB84) <=> (~((~v39(constB84)) | (~v9(constB84)))))) | (~v185(constB84))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15286, 15285])).
% 6.76/4.96 tff(15288,plain,
% 6.76/4.96 (~v185(constB84)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15287, 15278])).
% 6.76/4.96 tff(15289,plain,
% 6.76/4.96 (((~v185(constB84)) | (~v204(constB84))) | v185(constB84)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15290,plain,
% 6.76/4.96 ((~v185(constB84)) | (~v204(constB84))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15289, 15288])).
% 6.76/4.96 tff(15291,plain,
% 6.76/4.96 ((~(v203(constB84) <=> (~((~v185(constB84)) | (~v204(constB84)))))) | (~v203(constB84)) | (~((~v185(constB84)) | (~v204(constB84))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15292,plain,
% 6.76/4.96 ((~(v203(constB84) <=> (~((~v185(constB84)) | (~v204(constB84)))))) | (~v203(constB84))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15291, 15290])).
% 6.76/4.96 tff(15293,plain,
% 6.76/4.96 (~v203(constB84)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15292, 15276])).
% 6.76/4.96 tff(15294,plain,
% 6.76/4.96 (((~v183(constB84)) | (~v203(constB84))) | v203(constB84)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15295,plain,
% 6.76/4.96 ((~v183(constB84)) | (~v203(constB84))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15294, 15293])).
% 6.76/4.96 tff(15296,plain,
% 6.76/4.96 ((~(v202(constB84) <=> (~((~v183(constB84)) | (~v203(constB84)))))) | (~v202(constB84)) | (~((~v183(constB84)) | (~v203(constB84))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15297,plain,
% 6.76/4.96 (~v202(constB84)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15296, 15295, 15269])).
% 6.76/4.96 tff(15298,plain,
% 6.76/4.96 (((~v157(constB84)) | (~v202(constB84))) | v202(constB84)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15299,plain,
% 6.76/4.96 ((~v157(constB84)) | (~v202(constB84))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15298, 15297])).
% 6.76/4.96 tff(15300,plain,
% 6.76/4.96 ((~(v201(constB84) <=> (~((~v157(constB84)) | (~v202(constB84)))))) | (~v201(constB84)) | (~((~v157(constB84)) | (~v202(constB84))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15301,plain,
% 6.76/4.96 (~v201(constB84)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15300, 15299, 15267])).
% 6.76/4.96 tff(15302,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB84) <=> (~((~v159(constB84)) | (~v202(constB84)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB84) <=> (~((~v159(constB84)) | (~v202(constB84))))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15303,plain,
% 6.76/4.96 ((v205(constB84) <=> (~((~v202(constB84)) | (~v159(constB84))))) <=> (v205(constB84) <=> (~((~v159(constB84)) | (~v202(constB84)))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15304,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB84) <=> (~((~v202(constB84)) | (~v159(constB84)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB84) <=> (~((~v159(constB84)) | (~v202(constB84))))))),
% 6.76/4.96 inference(monotonicity,[status(thm)],[15303])).
% 6.76/4.96 tff(15305,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB84) <=> (~((~v202(constB84)) | (~v159(constB84)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB84) <=> (~((~v159(constB84)) | (~v202(constB84))))))),
% 6.76/4.96 inference(transitivity,[status(thm)],[15304, 15302])).
% 6.76/4.96 tff(15306,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB84) <=> (~((~v202(constB84)) | (~v159(constB84)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15307,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB84) <=> (~((~v159(constB84)) | (~v202(constB84)))))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15306, 15305])).
% 6.76/4.96 tff(15308,plain,
% 6.76/4.96 (v205(constB84) <=> (~((~v159(constB84)) | (~v202(constB84))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15307, 138])).
% 6.76/4.96 tff(15309,plain,
% 6.76/4.96 (((~v159(constB84)) | (~v202(constB84))) | v202(constB84)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15310,plain,
% 6.76/4.96 ((~v159(constB84)) | (~v202(constB84))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15309, 15297])).
% 6.76/4.96 tff(15311,plain,
% 6.76/4.96 ((~(v205(constB84) <=> (~((~v159(constB84)) | (~v202(constB84)))))) | (~v205(constB84)) | (~((~v159(constB84)) | (~v202(constB84))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15312,plain,
% 6.76/4.96 (~v205(constB84)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15311, 15310, 15308])).
% 6.76/4.96 tff(15313,plain,
% 6.76/4.96 ((~(v201(constB84) | v205(constB84))) | v201(constB84) | v205(constB84)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15314,plain,
% 6.76/4.96 (~(v201(constB84) | v205(constB84))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15313, 15312, 15301])).
% 6.76/4.96 tff(15315,plain,
% 6.76/4.96 ((~(v200(constB84) <=> (v201(constB84) | v205(constB84)))) | (~v200(constB84)) | (v201(constB84) | v205(constB84))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15316,plain,
% 6.76/4.96 ((~(v200(constB84) <=> (v201(constB84) | v205(constB84)))) | (~v200(constB84))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15315, 15314])).
% 6.76/4.96 tff(15317,plain,
% 6.76/4.96 (~v200(constB84)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15316, 15260])).
% 6.76/4.96 tff(15318,plain,
% 6.76/4.96 ($false),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15317, 15258])).
% 6.76/4.96 tff(15319,plain,(~(constB84 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 6.76/4.96 tff(15320,assumption,(constB48 = VarCurr!0), introduced(assumption)).
% 6.76/4.96 tff(15321,plain,
% 6.76/4.96 (v200(constB48) <=> v200(VarCurr!0)),
% 6.76/4.96 inference(monotonicity,[status(thm)],[15320])).
% 6.76/4.96 tff(15322,plain,
% 6.76/4.96 (v200(VarCurr!0) <=> v200(constB48)),
% 6.76/4.96 inference(symmetry,[status(thm)],[15321])).
% 6.76/4.96 tff(15323,plain,
% 6.76/4.96 (v200(constB48)),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[27, 15322])).
% 6.76/4.96 tff(15324,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB48) <=> (v201(constB48) | v205(constB48)))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15325,plain,
% 6.76/4.96 (v200(constB48) <=> (v201(constB48) | v205(constB48))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15324, 35])).
% 6.76/4.96 tff(15326,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB48) <=> (~((~v157(constB48)) | (~v202(constB48)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB48) <=> (~((~v157(constB48)) | (~v202(constB48))))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15327,plain,
% 6.76/4.96 ((v201(constB48) <=> (~((~v202(constB48)) | (~v157(constB48))))) <=> (v201(constB48) <=> (~((~v157(constB48)) | (~v202(constB48)))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15328,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB48) <=> (~((~v202(constB48)) | (~v157(constB48)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB48) <=> (~((~v157(constB48)) | (~v202(constB48))))))),
% 6.76/4.96 inference(monotonicity,[status(thm)],[15327])).
% 6.76/4.96 tff(15329,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB48) <=> (~((~v202(constB48)) | (~v157(constB48)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB48) <=> (~((~v157(constB48)) | (~v202(constB48))))))),
% 6.76/4.96 inference(transitivity,[status(thm)],[15328, 15326])).
% 6.76/4.96 tff(15330,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB48) <=> (~((~v202(constB48)) | (~v157(constB48)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15331,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB48) <=> (~((~v157(constB48)) | (~v202(constB48)))))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15330, 15329])).
% 6.76/4.96 tff(15332,plain,
% 6.76/4.96 (v201(constB48) <=> (~((~v157(constB48)) | (~v202(constB48))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15331, 47])).
% 6.76/4.96 tff(15333,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB48) <=> (~((~v183(constB48)) | (~v203(constB48)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15334,plain,
% 6.76/4.96 (v202(constB48) <=> (~((~v183(constB48)) | (~v203(constB48))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15333, 64])).
% 6.76/4.96 tff(15335,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB48) <=> (~((~v185(constB48)) | (~v204(constB48)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB48) <=> (~((~v185(constB48)) | (~v204(constB48))))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15336,plain,
% 6.76/4.96 ((v203(constB48) <=> (~((~v204(constB48)) | (~v185(constB48))))) <=> (v203(constB48) <=> (~((~v185(constB48)) | (~v204(constB48)))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15337,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB48) <=> (~((~v204(constB48)) | (~v185(constB48)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB48) <=> (~((~v185(constB48)) | (~v204(constB48))))))),
% 6.76/4.96 inference(monotonicity,[status(thm)],[15336])).
% 6.76/4.96 tff(15338,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB48) <=> (~((~v204(constB48)) | (~v185(constB48)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB48) <=> (~((~v185(constB48)) | (~v204(constB48))))))),
% 6.76/4.96 inference(transitivity,[status(thm)],[15337, 15335])).
% 6.76/4.96 tff(15339,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB48) <=> (~((~v204(constB48)) | (~v185(constB48)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15340,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB48) <=> (~((~v185(constB48)) | (~v204(constB48)))))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15339, 15338])).
% 6.76/4.96 tff(15341,plain,
% 6.76/4.96 (v203(constB48) <=> (~((~v185(constB48)) | (~v204(constB48))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15340, 76])).
% 6.76/4.96 tff(15342,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB48) <=> (~((~v39(constB48)) | (~v9(constB48)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15343,plain,
% 6.76/4.96 (v185(constB48) <=> (~((~v39(constB48)) | (~v9(constB48))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15342, 93])).
% 6.76/4.96 tff(15344,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB48)) <=> v1(constB48))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15345,plain,
% 6.76/4.96 ((~v39(constB48)) <=> v1(constB48)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15344, 102])).
% 6.76/4.96 tff(15346,plain,
% 6.76/4.96 ((~((~v39(constB48)) <=> v1(constB48))) | (~v39(constB48)) | (~v1(constB48))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15347,plain,
% 6.76/4.96 ((~((~v39(constB48)) <=> v1(constB48))) | (~v39(constB48))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15346, 8511])).
% 6.76/4.96 tff(15348,plain,
% 6.76/4.96 (~v39(constB48)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15347, 15345])).
% 6.76/4.96 tff(15349,plain,
% 6.76/4.96 (((~v39(constB48)) | (~v9(constB48))) | v39(constB48)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15350,plain,
% 6.76/4.96 ((~v39(constB48)) | (~v9(constB48))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15349, 15348])).
% 6.76/4.96 tff(15351,plain,
% 6.76/4.96 ((~(v185(constB48) <=> (~((~v39(constB48)) | (~v9(constB48)))))) | (~v185(constB48)) | (~((~v39(constB48)) | (~v9(constB48))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15352,plain,
% 6.76/4.96 ((~(v185(constB48) <=> (~((~v39(constB48)) | (~v9(constB48)))))) | (~v185(constB48))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15351, 15350])).
% 6.76/4.96 tff(15353,plain,
% 6.76/4.96 (~v185(constB48)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15352, 15343])).
% 6.76/4.96 tff(15354,plain,
% 6.76/4.96 (((~v185(constB48)) | (~v204(constB48))) | v185(constB48)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15355,plain,
% 6.76/4.96 ((~v185(constB48)) | (~v204(constB48))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15354, 15353])).
% 6.76/4.96 tff(15356,plain,
% 6.76/4.96 ((~(v203(constB48) <=> (~((~v185(constB48)) | (~v204(constB48)))))) | (~v203(constB48)) | (~((~v185(constB48)) | (~v204(constB48))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15357,plain,
% 6.76/4.96 ((~(v203(constB48) <=> (~((~v185(constB48)) | (~v204(constB48)))))) | (~v203(constB48))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15356, 15355])).
% 6.76/4.96 tff(15358,plain,
% 6.76/4.96 (~v203(constB48)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15357, 15341])).
% 6.76/4.96 tff(15359,plain,
% 6.76/4.96 (((~v183(constB48)) | (~v203(constB48))) | v203(constB48)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15360,plain,
% 6.76/4.96 ((~v183(constB48)) | (~v203(constB48))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15359, 15358])).
% 6.76/4.96 tff(15361,plain,
% 6.76/4.96 ((~(v202(constB48) <=> (~((~v183(constB48)) | (~v203(constB48)))))) | (~v202(constB48)) | (~((~v183(constB48)) | (~v203(constB48))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15362,plain,
% 6.76/4.96 (~v202(constB48)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15361, 15360, 15334])).
% 6.76/4.96 tff(15363,plain,
% 6.76/4.96 (((~v157(constB48)) | (~v202(constB48))) | v202(constB48)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15364,plain,
% 6.76/4.96 ((~v157(constB48)) | (~v202(constB48))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15363, 15362])).
% 6.76/4.96 tff(15365,plain,
% 6.76/4.96 ((~(v201(constB48) <=> (~((~v157(constB48)) | (~v202(constB48)))))) | (~v201(constB48)) | (~((~v157(constB48)) | (~v202(constB48))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15366,plain,
% 6.76/4.96 (~v201(constB48)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15365, 15364, 15332])).
% 6.76/4.96 tff(15367,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB48) <=> (~((~v159(constB48)) | (~v202(constB48)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB48) <=> (~((~v159(constB48)) | (~v202(constB48))))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15368,plain,
% 6.76/4.96 ((v205(constB48) <=> (~((~v202(constB48)) | (~v159(constB48))))) <=> (v205(constB48) <=> (~((~v159(constB48)) | (~v202(constB48)))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15369,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB48) <=> (~((~v202(constB48)) | (~v159(constB48)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB48) <=> (~((~v159(constB48)) | (~v202(constB48))))))),
% 6.76/4.96 inference(monotonicity,[status(thm)],[15368])).
% 6.76/4.96 tff(15370,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB48) <=> (~((~v202(constB48)) | (~v159(constB48)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB48) <=> (~((~v159(constB48)) | (~v202(constB48))))))),
% 6.76/4.96 inference(transitivity,[status(thm)],[15369, 15367])).
% 6.76/4.96 tff(15371,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB48) <=> (~((~v202(constB48)) | (~v159(constB48)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15372,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB48) <=> (~((~v159(constB48)) | (~v202(constB48)))))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15371, 15370])).
% 6.76/4.96 tff(15373,plain,
% 6.76/4.96 (v205(constB48) <=> (~((~v159(constB48)) | (~v202(constB48))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15372, 138])).
% 6.76/4.96 tff(15374,plain,
% 6.76/4.96 (((~v159(constB48)) | (~v202(constB48))) | v202(constB48)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15375,plain,
% 6.76/4.96 ((~v159(constB48)) | (~v202(constB48))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15374, 15362])).
% 6.76/4.96 tff(15376,plain,
% 6.76/4.96 ((~(v205(constB48) <=> (~((~v159(constB48)) | (~v202(constB48)))))) | (~v205(constB48)) | (~((~v159(constB48)) | (~v202(constB48))))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15377,plain,
% 6.76/4.96 (~v205(constB48)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15376, 15375, 15373])).
% 6.76/4.96 tff(15378,plain,
% 6.76/4.96 ((~(v201(constB48) | v205(constB48))) | v201(constB48) | v205(constB48)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15379,plain,
% 6.76/4.96 (~(v201(constB48) | v205(constB48))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15378, 15377, 15366])).
% 6.76/4.96 tff(15380,plain,
% 6.76/4.96 ((~(v200(constB48) <=> (v201(constB48) | v205(constB48)))) | (~v200(constB48)) | (v201(constB48) | v205(constB48))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(15381,plain,
% 6.76/4.96 ((~(v200(constB48) <=> (v201(constB48) | v205(constB48)))) | (~v200(constB48))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15380, 15379])).
% 6.76/4.96 tff(15382,plain,
% 6.76/4.96 (~v200(constB48)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15381, 15325])).
% 6.76/4.96 tff(15383,plain,
% 6.76/4.96 ($false),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15382, 15323])).
% 6.76/4.96 tff(15384,plain,(~(constB48 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 6.76/4.96 tff(15385,assumption,(constB91 = VarCurr!0), introduced(assumption)).
% 6.76/4.96 tff(15386,plain,
% 6.76/4.96 (v200(constB91) <=> v200(VarCurr!0)),
% 6.76/4.96 inference(monotonicity,[status(thm)],[15385])).
% 6.76/4.96 tff(15387,plain,
% 6.76/4.96 (v200(VarCurr!0) <=> v200(constB91)),
% 6.76/4.96 inference(symmetry,[status(thm)],[15386])).
% 6.76/4.96 tff(15388,plain,
% 6.76/4.96 (v200(constB91)),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[27, 15387])).
% 6.76/4.96 tff(15389,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB91) <=> (v201(constB91) | v205(constB91)))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15390,plain,
% 6.76/4.96 (v200(constB91) <=> (v201(constB91) | v205(constB91))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15389, 35])).
% 6.76/4.96 tff(15391,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB91) <=> (~((~v157(constB91)) | (~v202(constB91)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB91) <=> (~((~v157(constB91)) | (~v202(constB91))))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15392,plain,
% 6.76/4.96 ((v201(constB91) <=> (~((~v202(constB91)) | (~v157(constB91))))) <=> (v201(constB91) <=> (~((~v157(constB91)) | (~v202(constB91)))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15393,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB91) <=> (~((~v202(constB91)) | (~v157(constB91)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB91) <=> (~((~v157(constB91)) | (~v202(constB91))))))),
% 6.76/4.96 inference(monotonicity,[status(thm)],[15392])).
% 6.76/4.96 tff(15394,plain,
% 6.76/4.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB91) <=> (~((~v202(constB91)) | (~v157(constB91)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB91) <=> (~((~v157(constB91)) | (~v202(constB91))))))),
% 6.76/4.96 inference(transitivity,[status(thm)],[15393, 15391])).
% 6.76/4.96 tff(15395,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB91) <=> (~((~v202(constB91)) | (~v157(constB91)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15396,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB91) <=> (~((~v157(constB91)) | (~v202(constB91)))))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15395, 15394])).
% 6.76/4.96 tff(15397,plain,
% 6.76/4.96 (v201(constB91) <=> (~((~v157(constB91)) | (~v202(constB91))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15396, 47])).
% 6.76/4.96 tff(15398,plain,
% 6.76/4.96 (^[VarNext: state_type] : refl((v157(VarNext) <=> v192(VarNext)) <=> (v157(VarNext) <=> v192(VarNext)))),
% 6.76/4.96 inference(bind,[status(th)],[])).
% 6.76/4.96 tff(15399,plain,
% 6.76/4.96 (![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext)) <=> ![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))),
% 6.76/4.96 inference(quant_intro,[status(thm)],[15398])).
% 6.76/4.96 tff(15400,plain,
% 6.76/4.96 (![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext)) <=> ![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15401,plain,
% 6.76/4.96 (^[VarNext: state_type] : rewrite(($true => (v157(VarNext) <=> v192(VarNext))) <=> (v157(VarNext) <=> v192(VarNext)))),
% 6.76/4.96 inference(bind,[status(th)],[])).
% 6.76/4.96 tff(15402,plain,
% 6.76/4.96 (![VarNext: state_type] : ($true => (v157(VarNext) <=> v192(VarNext))) <=> ![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))),
% 6.76/4.96 inference(quant_intro,[status(thm)],[15401])).
% 6.76/4.96 tff(15403,axiom,(![VarNext: state_type] : ($true => (v157(VarNext) <=> v192(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_7')).
% 6.76/4.96 tff(15404,plain,
% 6.76/4.96 (![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15403, 15402])).
% 6.76/4.96 tff(15405,plain,
% 6.76/4.96 (![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15404, 15400])).
% 6.76/4.96 tff(15406,plain,(
% 6.76/4.96 ![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))),
% 6.76/4.96 inference(skolemize,[status(sab)],[15405])).
% 6.76/4.96 tff(15407,plain,
% 6.76/4.96 (![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15406, 15399])).
% 6.76/4.96 tff(15408,plain,
% 6.76/4.96 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB91) <=> v192(constB91))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15409,plain,
% 6.76/4.96 (v157(constB91) <=> v192(constB91)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15408, 15407])).
% 6.76/4.96 tff(15410,plain,
% 6.76/4.96 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr))))),
% 6.76/4.96 inference(bind,[status(th)],[])).
% 6.76/4.96 tff(15411,plain,
% 6.76/4.96 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))),
% 6.76/4.96 inference(quant_intro,[status(thm)],[15410])).
% 6.76/4.96 tff(15412,plain,
% 6.76/4.96 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15413,plain,
% 6.76/4.96 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v192(VarNext) <=> v190(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr))))),
% 6.76/4.96 inference(bind,[status(th)],[])).
% 6.76/4.96 tff(15414,plain,
% 6.76/4.96 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v192(VarNext) <=> v190(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))),
% 6.76/4.96 inference(quant_intro,[status(thm)],[15413])).
% 6.76/4.96 tff(15415,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v192(VarNext) <=> v190(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_12')).
% 6.76/4.96 tff(15416,plain,
% 6.76/4.96 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15415, 15414])).
% 6.76/4.96 tff(15417,plain,
% 6.76/4.96 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15416, 15412])).
% 6.76/4.96 tff(15418,plain,(
% 6.76/4.96 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))),
% 6.76/4.96 inference(skolemize,[status(sab)],[15417])).
% 6.76/4.96 tff(15419,plain,
% 6.76/4.96 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15418, 15411])).
% 6.76/4.96 tff(15420,plain,
% 6.76/4.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB90, constB91)) | (v192(constB91) <=> v190(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB90, constB91)) | (v192(constB91) <=> v190(constB90)))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15421,plain,
% 6.76/4.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB90, constB91)) | (v192(constB91) <=> v190(constB90)))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15422,plain,
% 6.76/4.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB90, constB91)) | (v192(constB91) <=> v190(constB90))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15421, 15420])).
% 6.76/4.96 tff(15423,plain,
% 6.76/4.96 (v192(constB91) <=> v190(constB90)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15422, 1627, 15419])).
% 6.76/4.96 tff(15424,plain,
% 6.76/4.96 (^[VarCurr: state_type] : refl((v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr))) <=> (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr))))),
% 6.76/4.96 inference(bind,[status(th)],[])).
% 6.76/4.96 tff(15425,plain,
% 6.76/4.96 (![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr))) <=> ![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))),
% 6.76/4.96 inference(quant_intro,[status(thm)],[15424])).
% 6.76/4.96 tff(15426,plain,
% 6.76/4.96 (![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr))) <=> ![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15427,axiom,(![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48')).
% 6.76/4.96 tff(15428,plain,
% 6.76/4.96 (![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15427, 15426])).
% 6.76/4.96 tff(15429,plain,(
% 6.76/4.96 ![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))),
% 6.76/4.96 inference(skolemize,[status(sab)],[15428])).
% 6.76/4.96 tff(15430,plain,
% 6.76/4.96 (![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15429, 15425])).
% 6.76/4.96 tff(15431,plain,
% 6.76/4.96 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB90) <=> (v193(constB90) | v196(constB90)))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(15432,plain,
% 6.76/4.96 (v190(constB90) <=> (v193(constB90) | v196(constB90))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[15431, 15430])).
% 6.76/4.96 tff(15433,plain,
% 6.76/4.96 (^[VarCurr: state_type] : refl((v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr))))) <=> (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr))))))),
% 6.76/4.96 inference(bind,[status(th)],[])).
% 6.76/4.96 tff(15434,plain,
% 6.76/4.96 (![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr))))) <=> ![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))),
% 6.76/4.96 inference(quant_intro,[status(thm)],[15433])).
% 6.76/4.96 tff(15435,plain,
% 6.76/4.96 (^[VarCurr: state_type] : rewrite((v193(VarCurr) <=> (v194(VarCurr) & v157(VarCurr))) <=> (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr))))))),
% 6.76/4.96 inference(bind,[status(th)],[])).
% 6.76/4.96 tff(15436,plain,
% 6.76/4.96 (![VarCurr: state_type] : (v193(VarCurr) <=> (v194(VarCurr) & v157(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))),
% 6.76/4.96 inference(quant_intro,[status(thm)],[15435])).
% 6.76/4.96 tff(15437,plain,
% 6.76/4.96 (![VarCurr: state_type] : (v193(VarCurr) <=> (v194(VarCurr) & v157(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) <=> (v194(VarCurr) & v157(VarCurr)))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(15438,axiom,(![VarCurr: state_type] : (v193(VarCurr) <=> (v194(VarCurr) & v157(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46')).
% 6.76/4.96 tff(15439,plain,
% 6.76/4.96 (![VarCurr: state_type] : (v193(VarCurr) <=> (v194(VarCurr) & v157(VarCurr)))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[15438, 15437])).
% 6.76/4.96 tff(15440,plain,(
% 6.76/4.96 ![VarCurr: state_type] : (v193(VarCurr) <=> (v194(VarCurr) & v157(VarCurr)))),
% 6.76/4.96 inference(skolemize,[status(sab)],[15439])).
% 6.76/4.96 tff(15441,plain,
% 6.76/4.96 (![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15440, 15436])).
% 6.76/4.97 tff(15442,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15441, 15434])).
% 6.76/4.97 tff(15443,plain,
% 6.76/4.97 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB90) <=> (~((~v157(constB90)) | (~v194(constB90)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB90) <=> (~((~v157(constB90)) | (~v194(constB90))))))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15444,plain,
% 6.76/4.97 ((v193(constB90) <=> (~((~v194(constB90)) | (~v157(constB90))))) <=> (v193(constB90) <=> (~((~v157(constB90)) | (~v194(constB90)))))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15445,plain,
% 6.76/4.97 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB90) <=> (~((~v194(constB90)) | (~v157(constB90)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB90) <=> (~((~v157(constB90)) | (~v194(constB90))))))),
% 6.76/4.97 inference(monotonicity,[status(thm)],[15444])).
% 6.76/4.97 tff(15446,plain,
% 6.76/4.97 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB90) <=> (~((~v194(constB90)) | (~v157(constB90)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB90) <=> (~((~v157(constB90)) | (~v194(constB90))))))),
% 6.76/4.97 inference(transitivity,[status(thm)],[15445, 15443])).
% 6.76/4.97 tff(15447,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB90) <=> (~((~v194(constB90)) | (~v157(constB90)))))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15448,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB90) <=> (~((~v157(constB90)) | (~v194(constB90)))))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15447, 15446])).
% 6.76/4.97 tff(15449,plain,
% 6.76/4.97 (v193(constB90) <=> (~((~v157(constB90)) | (~v194(constB90))))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15448, 15442])).
% 6.76/4.97 tff(15450,plain,
% 6.76/4.97 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB90) <=> v192(constB90))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15451,plain,
% 6.76/4.97 (v157(constB90) <=> v192(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15450, 15407])).
% 6.76/4.97 tff(15452,plain,
% 6.76/4.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB89, constB90)) | (v192(constB90) <=> v190(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB89, constB90)) | (v192(constB90) <=> v190(constB89)))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15453,plain,
% 6.76/4.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB89, constB90)) | (v192(constB90) <=> v190(constB89)))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15454,plain,
% 6.76/4.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB89, constB90)) | (v192(constB90) <=> v190(constB89))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15453, 15452])).
% 6.76/4.97 tff(15455,plain,
% 6.76/4.97 (v192(constB90) <=> v190(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15454, 1663, 15419])).
% 6.76/4.97 tff(15456,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB89) <=> (v193(constB89) | v196(constB89)))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15457,plain,
% 6.76/4.97 (v190(constB89) <=> (v193(constB89) | v196(constB89))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15456, 15430])).
% 6.76/4.97 tff(15458,plain,
% 6.76/4.97 (^[VarCurr: state_type] : refl((v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr))))) <=> (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr))))))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15459,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr))))) <=> ![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15458])).
% 6.76/4.97 tff(15460,plain,
% 6.76/4.97 (^[VarCurr: state_type] : rewrite((v196(VarCurr) <=> (v194(VarCurr) & v159(VarCurr))) <=> (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr))))))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15461,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v196(VarCurr) <=> (v194(VarCurr) & v159(VarCurr))) <=> ![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15460])).
% 6.76/4.97 tff(15462,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v196(VarCurr) <=> (v194(VarCurr) & v159(VarCurr))) <=> ![VarCurr: state_type] : (v196(VarCurr) <=> (v194(VarCurr) & v159(VarCurr)))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15463,axiom,(![VarCurr: state_type] : (v196(VarCurr) <=> (v194(VarCurr) & v159(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47')).
% 6.76/4.97 tff(15464,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v196(VarCurr) <=> (v194(VarCurr) & v159(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15463, 15462])).
% 6.76/4.97 tff(15465,plain,(
% 6.76/4.97 ![VarCurr: state_type] : (v196(VarCurr) <=> (v194(VarCurr) & v159(VarCurr)))),
% 6.76/4.97 inference(skolemize,[status(sab)],[15464])).
% 6.76/4.97 tff(15466,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15465, 15461])).
% 6.76/4.97 tff(15467,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15466, 15459])).
% 6.76/4.97 tff(15468,plain,
% 6.76/4.97 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB89) <=> (~((~v159(constB89)) | (~v194(constB89)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB89) <=> (~((~v159(constB89)) | (~v194(constB89))))))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15469,plain,
% 6.76/4.97 ((v196(constB89) <=> (~((~v194(constB89)) | (~v159(constB89))))) <=> (v196(constB89) <=> (~((~v159(constB89)) | (~v194(constB89)))))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15470,plain,
% 6.76/4.97 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB89) <=> (~((~v194(constB89)) | (~v159(constB89)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB89) <=> (~((~v159(constB89)) | (~v194(constB89))))))),
% 6.76/4.97 inference(monotonicity,[status(thm)],[15469])).
% 6.76/4.97 tff(15471,plain,
% 6.76/4.97 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB89) <=> (~((~v194(constB89)) | (~v159(constB89)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB89) <=> (~((~v159(constB89)) | (~v194(constB89))))))),
% 6.76/4.97 inference(transitivity,[status(thm)],[15470, 15468])).
% 6.76/4.97 tff(15472,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB89) <=> (~((~v194(constB89)) | (~v159(constB89)))))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15473,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB89) <=> (~((~v159(constB89)) | (~v194(constB89)))))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15472, 15471])).
% 6.76/4.97 tff(15474,plain,
% 6.76/4.97 (v196(constB89) <=> (~((~v159(constB89)) | (~v194(constB89))))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15473, 15467])).
% 6.76/4.97 tff(15475,plain,
% 6.76/4.97 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB89) <=> v182(constB89))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15476,plain,
% 6.76/4.97 (v159(constB89) <=> v182(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15475, 15113])).
% 6.76/4.97 tff(15477,plain,
% 6.76/4.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB88, constB89)) | (v182(constB89) <=> v180(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB88, constB89)) | (v182(constB89) <=> v180(constB88)))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15478,plain,
% 6.76/4.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB88, constB89)) | (v182(constB89) <=> v180(constB88)))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15479,plain,
% 6.76/4.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB88, constB89)) | (v182(constB89) <=> v180(constB88))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15478, 15477])).
% 6.76/4.97 tff(15480,plain,
% 6.76/4.97 (v182(constB89) <=> v180(constB88)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15479, 1693, 15125])).
% 6.76/4.97 tff(15481,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB88) <=> (~((~v183(constB88)) | (~v184(constB88)))))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15482,plain,
% 6.76/4.97 (v180(constB88) <=> (~((~v183(constB88)) | (~v184(constB88))))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15481, 15139])).
% 6.76/4.97 tff(15483,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB88) <=> (~((~v185(constB88)) | (~v161(constB88)))))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15484,plain,
% 6.76/4.97 (v184(constB88) <=> (~((~v185(constB88)) | (~v161(constB88))))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15483, 15151])).
% 6.76/4.97 tff(15485,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB88) <=> (~((~v39(constB88)) | (~v9(constB88)))))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15486,plain,
% 6.76/4.97 (v185(constB88) <=> (~((~v39(constB88)) | (~v9(constB88))))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15485, 93])).
% 6.76/4.97 tff(15487,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB88)) <=> v1(constB88))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15488,plain,
% 6.76/4.97 ((~v39(constB88)) <=> v1(constB88)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15487, 102])).
% 6.76/4.97 tff(15489,plain,
% 6.76/4.97 ((~((~v39(constB88)) <=> v1(constB88))) | (~v39(constB88)) | (~v1(constB88))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15490,plain,
% 6.76/4.97 ((~((~v39(constB88)) <=> v1(constB88))) | (~v39(constB88))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15489, 11709])).
% 6.76/4.97 tff(15491,plain,
% 6.76/4.97 (~v39(constB88)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15490, 15488])).
% 6.76/4.97 tff(15492,plain,
% 6.76/4.97 (((~v39(constB88)) | (~v9(constB88))) | v39(constB88)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15493,plain,
% 6.76/4.97 ((~v39(constB88)) | (~v9(constB88))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15492, 15491])).
% 6.76/4.97 tff(15494,plain,
% 6.76/4.97 ((~(v185(constB88) <=> (~((~v39(constB88)) | (~v9(constB88)))))) | (~v185(constB88)) | (~((~v39(constB88)) | (~v9(constB88))))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15495,plain,
% 6.76/4.97 ((~(v185(constB88) <=> (~((~v39(constB88)) | (~v9(constB88)))))) | (~v185(constB88))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15494, 15493])).
% 6.76/4.97 tff(15496,plain,
% 6.76/4.97 (~v185(constB88)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15495, 15486])).
% 6.76/4.97 tff(15497,plain,
% 6.76/4.97 (((~v185(constB88)) | (~v161(constB88))) | v185(constB88)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15498,plain,
% 6.76/4.97 ((~v185(constB88)) | (~v161(constB88))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15497, 15496])).
% 6.76/4.97 tff(15499,plain,
% 6.76/4.97 ((~(v184(constB88) <=> (~((~v185(constB88)) | (~v161(constB88)))))) | (~v184(constB88)) | (~((~v185(constB88)) | (~v161(constB88))))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15500,plain,
% 6.76/4.97 ((~(v184(constB88) <=> (~((~v185(constB88)) | (~v161(constB88)))))) | (~v184(constB88))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15499, 15498])).
% 6.76/4.97 tff(15501,plain,
% 6.76/4.97 (~v184(constB88)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15500, 15484])).
% 6.76/4.97 tff(15502,plain,
% 6.76/4.97 (((~v183(constB88)) | (~v184(constB88))) | v184(constB88)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15503,plain,
% 6.76/4.97 ((~v183(constB88)) | (~v184(constB88))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15502, 15501])).
% 6.76/4.97 tff(15504,plain,
% 6.76/4.97 ((~(v180(constB88) <=> (~((~v183(constB88)) | (~v184(constB88)))))) | (~v180(constB88)) | (~((~v183(constB88)) | (~v184(constB88))))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15505,plain,
% 6.76/4.97 (~v180(constB88)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15504, 15503, 15482])).
% 6.76/4.97 tff(15506,plain,
% 6.76/4.97 ((~(v182(constB89) <=> v180(constB88))) | (~v182(constB89)) | v180(constB88)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15507,plain,
% 6.76/4.97 (~v182(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15506, 15505, 15480])).
% 6.76/4.97 tff(15508,plain,
% 6.76/4.97 ((~(v159(constB89) <=> v182(constB89))) | (~v159(constB89)) | v182(constB89)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15509,plain,
% 6.76/4.97 (~v159(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15508, 15507, 15476])).
% 6.76/4.97 tff(15510,plain,
% 6.76/4.97 (((~v159(constB89)) | (~v194(constB89))) | v159(constB89)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15511,plain,
% 6.76/4.97 ((~v159(constB89)) | (~v194(constB89))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15510, 15509])).
% 6.76/4.97 tff(15512,plain,
% 6.76/4.97 ((~(v196(constB89) <=> (~((~v159(constB89)) | (~v194(constB89)))))) | (~v196(constB89)) | (~((~v159(constB89)) | (~v194(constB89))))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15513,plain,
% 6.76/4.97 (~v196(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15512, 15511, 15474])).
% 6.76/4.97 tff(15514,plain,
% 6.76/4.97 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB89) <=> (~((~v157(constB89)) | (~v194(constB89)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB89) <=> (~((~v157(constB89)) | (~v194(constB89))))))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15515,plain,
% 6.76/4.97 ((v193(constB89) <=> (~((~v194(constB89)) | (~v157(constB89))))) <=> (v193(constB89) <=> (~((~v157(constB89)) | (~v194(constB89)))))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15516,plain,
% 6.76/4.97 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB89) <=> (~((~v194(constB89)) | (~v157(constB89)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB89) <=> (~((~v157(constB89)) | (~v194(constB89))))))),
% 6.76/4.97 inference(monotonicity,[status(thm)],[15515])).
% 6.76/4.97 tff(15517,plain,
% 6.76/4.97 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB89) <=> (~((~v194(constB89)) | (~v157(constB89)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB89) <=> (~((~v157(constB89)) | (~v194(constB89))))))),
% 6.76/4.97 inference(transitivity,[status(thm)],[15516, 15514])).
% 6.76/4.97 tff(15518,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB89) <=> (~((~v194(constB89)) | (~v157(constB89)))))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15519,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB89) <=> (~((~v157(constB89)) | (~v194(constB89)))))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15518, 15517])).
% 6.76/4.97 tff(15520,plain,
% 6.76/4.97 (v193(constB89) <=> (~((~v157(constB89)) | (~v194(constB89))))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15519, 15442])).
% 6.76/4.97 tff(15521,plain,
% 6.76/4.97 (^[VarCurr: state_type] : refl(((~v194(VarCurr)) <=> v195(VarCurr)) <=> ((~v194(VarCurr)) <=> v195(VarCurr)))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15522,plain,
% 6.76/4.97 (![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr)) <=> ![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15521])).
% 6.76/4.97 tff(15523,plain,
% 6.76/4.97 (![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr)) <=> ![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15524,axiom,(![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_15')).
% 6.76/4.97 tff(15525,plain,
% 6.76/4.97 (![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15524, 15523])).
% 6.76/4.97 tff(15526,plain,(
% 6.76/4.97 ![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))),
% 6.76/4.97 inference(skolemize,[status(sab)],[15525])).
% 6.76/4.97 tff(15527,plain,
% 6.76/4.97 (![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15526, 15522])).
% 6.76/4.97 tff(15528,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB89)) <=> v195(constB89))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15529,plain,
% 6.76/4.97 ((~v194(constB89)) <=> v195(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15528, 15527])).
% 6.76/4.97 tff(15530,plain,
% 6.76/4.97 (^[VarCurr: state_type] : refl((v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr))) <=> (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr))))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15531,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr))) <=> ![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15530])).
% 6.76/4.97 tff(15532,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr))) <=> ![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15533,axiom,(![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45')).
% 6.76/4.97 tff(15534,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15533, 15532])).
% 6.76/4.97 tff(15535,plain,(
% 6.76/4.97 ![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))),
% 6.76/4.97 inference(skolemize,[status(sab)],[15534])).
% 6.76/4.97 tff(15536,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15535, 15531])).
% 6.76/4.97 tff(15537,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB89) <=> (v185(constB89) | v26(constB89)))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15538,plain,
% 6.76/4.97 (v195(constB89) <=> (v185(constB89) | v26(constB89))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15537, 15536])).
% 6.76/4.97 tff(15539,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB89) <=> (~((~v39(constB89)) | (~v9(constB89)))))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15540,plain,
% 6.76/4.97 (v185(constB89) <=> (~((~v39(constB89)) | (~v9(constB89))))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15539, 93])).
% 6.76/4.97 tff(15541,plain,
% 6.76/4.97 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15542,plain,
% 6.76/4.97 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15541])).
% 6.76/4.97 tff(15543,plain,
% 6.76/4.97 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15544,plain,
% 6.76/4.97 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15545,plain,
% 6.76/4.97 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15544])).
% 6.76/4.97 tff(15546,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment')).
% 6.76/4.97 tff(15547,plain,
% 6.76/4.97 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15546, 15545])).
% 6.76/4.97 tff(15548,plain,
% 6.76/4.97 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15547, 15543])).
% 6.76/4.97 tff(15549,plain,(
% 6.76/4.97 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.76/4.97 inference(skolemize,[status(sab)],[15548])).
% 6.76/4.97 tff(15550,plain,
% 6.76/4.97 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15549, 15542])).
% 6.76/4.97 tff(15551,plain,
% 6.76/4.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89)))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15552,plain,
% 6.76/4.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89)))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15553,plain,
% 6.76/4.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15552, 15551])).
% 6.76/4.97 tff(15554,plain,
% 6.76/4.97 (v13(constB90) <=> v9(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15553, 1663, 15550])).
% 6.76/4.97 tff(15555,plain,
% 6.76/4.97 (^[VarNext: state_type] : refl((v6(VarNext) <=> v13(VarNext)) <=> (v6(VarNext) <=> v13(VarNext)))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15556,plain,
% 6.76/4.97 (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15555])).
% 6.76/4.97 tff(15557,plain,
% 6.76/4.97 (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15558,plain,
% 6.76/4.97 (^[VarNext: state_type] : rewrite(($true => (v6(VarNext) <=> v13(VarNext))) <=> (v6(VarNext) <=> v13(VarNext)))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15559,plain,
% 6.76/4.97 (![VarNext: state_type] : ($true => (v6(VarNext) <=> v13(VarNext))) <=> ![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15558])).
% 6.76/4.97 tff(15560,axiom,(![VarNext: state_type] : ($true => (v6(VarNext) <=> v13(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch')).
% 6.76/4.97 tff(15561,plain,
% 6.76/4.97 (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15560, 15559])).
% 6.76/4.97 tff(15562,plain,
% 6.76/4.97 (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15561, 15557])).
% 6.76/4.97 tff(15563,plain,(
% 6.76/4.97 ![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 6.76/4.97 inference(skolemize,[status(sab)],[15562])).
% 6.76/4.97 tff(15564,plain,
% 6.76/4.97 (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15563, 15556])).
% 6.76/4.97 tff(15565,plain,
% 6.76/4.97 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB90) <=> v13(constB90))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15566,plain,
% 6.76/4.97 (v6(constB90) <=> v13(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15565, 15564])).
% 6.76/4.97 tff(15567,plain,
% 6.76/4.97 (^[VarCurr: state_type] : refl(((~v21(VarCurr)) <=> v6(VarCurr)) <=> ((~v21(VarCurr)) <=> v6(VarCurr)))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15568,plain,
% 6.76/4.97 (![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15567])).
% 6.76/4.97 tff(15569,plain,
% 6.76/4.97 (![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15570,axiom,(![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_1')).
% 6.76/4.97 tff(15571,plain,
% 6.76/4.97 (![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15570, 15569])).
% 6.76/4.97 tff(15572,plain,(
% 6.76/4.97 ![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.76/4.97 inference(skolemize,[status(sab)],[15571])).
% 6.76/4.97 tff(15573,plain,
% 6.76/4.97 (![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15572, 15568])).
% 6.76/4.97 tff(15574,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB90)) <=> v6(constB90))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15575,plain,
% 6.76/4.97 ((~v21(constB90)) <=> v6(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15574, 15573])).
% 6.76/4.97 tff(15576,plain,
% 6.76/4.97 (^[VarCurr: state_type] : refl((v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15577,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15576])).
% 6.76/4.97 tff(15578,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15579,axiom,(![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges')).
% 6.76/4.97 tff(15580,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15579, 15578])).
% 6.76/4.97 tff(15581,plain,(
% 6.76/4.97 ![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.76/4.97 inference(skolemize,[status(sab)],[15580])).
% 6.76/4.97 tff(15582,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15581, 15577])).
% 6.76/4.97 tff(15583,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB90) <=> (v20(constB90) | v21(constB90)))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15584,plain,
% 6.76/4.97 (v19(constB90) <=> (v20(constB90) | v21(constB90))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15583, 15582])).
% 6.76/4.97 tff(15585,plain,
% 6.76/4.97 (^[VarCurr: state_type] : refl((v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15586,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> ![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15585])).
% 6.76/4.97 tff(15587,plain,
% 6.76/4.97 (^[VarCurr: state_type] : rewrite((v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15588,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15587])).
% 6.76/4.97 tff(15589,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15590,axiom,(![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2')).
% 6.76/4.97 tff(15591,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15590, 15589])).
% 6.76/4.97 tff(15592,plain,(
% 6.76/4.97 ![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 6.76/4.97 inference(skolemize,[status(sab)],[15591])).
% 6.76/4.97 tff(15593,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15592, 15588])).
% 6.76/4.97 tff(15594,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15593, 15586])).
% 6.76/4.97 tff(15595,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90)))))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15596,plain,
% 6.76/4.97 (v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90))))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15595, 15594])).
% 6.76/4.97 tff(15597,plain,
% 6.76/4.97 (^[VarCurr: state_type] : refl(((~v4(VarCurr)) <=> v18(VarCurr)) <=> ((~v4(VarCurr)) <=> v18(VarCurr)))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15598,plain,
% 6.76/4.97 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15597])).
% 6.76/4.97 tff(15599,plain,
% 6.76/4.97 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15600,axiom,(![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_2')).
% 6.76/4.97 tff(15601,plain,
% 6.76/4.97 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15600, 15599])).
% 6.76/4.97 tff(15602,plain,(
% 6.76/4.97 ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.76/4.97 inference(skolemize,[status(sab)],[15601])).
% 6.76/4.97 tff(15603,plain,
% 6.76/4.97 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15602, 15598])).
% 6.76/4.97 tff(15604,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB90)) <=> v18(constB90))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15605,plain,
% 6.76/4.97 ((~v4(constB90)) <=> v18(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15604, 15603])).
% 6.76/4.97 tff(15606,plain,
% 6.76/4.97 (^[VarCurr: state_type] : refl(v4(VarCurr) <=> v4(VarCurr))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15607,plain,
% 6.76/4.97 (![VarCurr: state_type] : v4(VarCurr) <=> ![VarCurr: state_type] : v4(VarCurr)),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15606])).
% 6.76/4.97 tff(15608,plain,
% 6.76/4.97 (![VarCurr: state_type] : v4(VarCurr) <=> ![VarCurr: state_type] : v4(VarCurr)),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15609,axiom,(![VarCurr: state_type] : v4(VarCurr)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption')).
% 6.76/4.97 tff(15610,plain,
% 6.76/4.97 (![VarCurr: state_type] : v4(VarCurr)),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15609, 15608])).
% 6.76/4.97 tff(15611,plain,(
% 6.76/4.97 ![VarCurr: state_type] : v4(VarCurr)),
% 6.76/4.97 inference(skolemize,[status(sab)],[15610])).
% 6.76/4.97 tff(15612,plain,
% 6.76/4.97 (![VarCurr: state_type] : v4(VarCurr)),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15611, 15607])).
% 6.76/4.97 tff(15613,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB90)),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15614,plain,
% 6.76/4.97 (v4(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15613, 15612])).
% 6.76/4.97 tff(15615,plain,
% 6.76/4.97 ((~((~v4(constB90)) <=> v18(constB90))) | (~v4(constB90)) | (~v18(constB90))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15616,plain,
% 6.76/4.97 (~v18(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15615, 15614, 15605])).
% 6.76/4.97 tff(15617,plain,
% 6.76/4.97 ((~(v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90)))))) | v18(constB90) | ((~v19(constB90)) | (~v22(constB90)))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15618,plain,
% 6.76/4.97 ((~v19(constB90)) | (~v22(constB90))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15617, 15616, 15596])).
% 6.76/4.97 tff(15619,plain,
% 6.76/4.97 (^[VarCurr: state_type] : refl((v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15620,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15619])).
% 6.76/4.97 tff(15621,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15622,axiom,(![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1')).
% 6.76/4.97 tff(15623,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15622, 15621])).
% 6.76/4.97 tff(15624,plain,(
% 6.76/4.97 ![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.76/4.97 inference(skolemize,[status(sab)],[15623])).
% 6.76/4.97 tff(15625,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15624, 15620])).
% 6.76/4.97 tff(15626,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB90) <=> (v1(constB90) | v6(constB90)))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15627,plain,
% 6.76/4.97 (v22(constB90) <=> (v1(constB90) | v6(constB90))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15626, 15625])).
% 6.76/4.97 tff(15628,plain,
% 6.76/4.97 ((v1(constB90) | v6(constB90)) | (~v1(constB90))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15629,plain,
% 6.76/4.97 (v1(constB90) | v6(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15628, 11867])).
% 6.76/4.97 tff(15630,plain,
% 6.76/4.97 ((~(v22(constB90) <=> (v1(constB90) | v6(constB90)))) | v22(constB90) | (~(v1(constB90) | v6(constB90)))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15631,plain,
% 6.76/4.97 ((~(v22(constB90) <=> (v1(constB90) | v6(constB90)))) | v22(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15630, 15629])).
% 6.76/4.97 tff(15632,plain,
% 6.76/4.97 (v22(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15631, 15627])).
% 6.76/4.97 tff(15633,plain,
% 6.76/4.97 ((~((~v19(constB90)) | (~v22(constB90)))) | (~v19(constB90)) | (~v22(constB90))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15634,plain,
% 6.76/4.97 ((~((~v19(constB90)) | (~v22(constB90)))) | (~v19(constB90))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15633, 15632])).
% 6.76/4.97 tff(15635,plain,
% 6.76/4.97 (~v19(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15634, 15618])).
% 6.76/4.97 tff(15636,plain,
% 6.76/4.97 ((~(v19(constB90) <=> (v20(constB90) | v21(constB90)))) | v19(constB90) | (~(v20(constB90) | v21(constB90)))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15637,plain,
% 6.76/4.97 (~(v20(constB90) | v21(constB90))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15636, 15635, 15584])).
% 6.76/4.97 tff(15638,plain,
% 6.76/4.97 ((v20(constB90) | v21(constB90)) | (~v21(constB90))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15639,plain,
% 6.76/4.97 (~v21(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15638, 15637])).
% 6.76/4.97 tff(15640,plain,
% 6.76/4.97 ((~((~v21(constB90)) <=> v6(constB90))) | v21(constB90) | v6(constB90)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15641,plain,
% 6.76/4.97 (v6(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15640, 15639, 15575])).
% 6.76/4.97 tff(15642,plain,
% 6.76/4.97 ((~(v6(constB90) <=> v13(constB90))) | (~v6(constB90)) | v13(constB90)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15643,plain,
% 6.76/4.97 (v13(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15642, 15641, 15566])).
% 6.76/4.97 tff(15644,plain,
% 6.76/4.97 ((~(v13(constB90) <=> v9(constB89))) | (~v13(constB90)) | v9(constB89)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15645,plain,
% 6.76/4.97 (v9(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15644, 15643, 15554])).
% 6.76/4.97 tff(15646,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB89)) <=> v1(constB89))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15647,plain,
% 6.76/4.97 ((~v39(constB89)) <=> v1(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15646, 102])).
% 6.76/4.97 tff(15648,plain,
% 6.76/4.97 ((~((~v39(constB89)) <=> v1(constB89))) | v39(constB89) | v1(constB89)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15649,plain,
% 6.76/4.97 ((~((~v39(constB89)) <=> v1(constB89))) | v39(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15648, 1707])).
% 6.76/4.97 tff(15650,plain,
% 6.76/4.97 (v39(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15649, 15647])).
% 6.76/4.97 tff(15651,plain,
% 6.76/4.97 ((~((~v39(constB89)) | (~v9(constB89)))) | (~v39(constB89)) | (~v9(constB89))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15652,plain,
% 6.76/4.97 ((~((~v39(constB89)) | (~v9(constB89)))) | (~v9(constB89))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15651, 15650])).
% 6.76/4.97 tff(15653,plain,
% 6.76/4.97 (~((~v39(constB89)) | (~v9(constB89)))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15652, 15645])).
% 6.76/4.97 tff(15654,plain,
% 6.76/4.97 ((~(v185(constB89) <=> (~((~v39(constB89)) | (~v9(constB89)))))) | v185(constB89) | ((~v39(constB89)) | (~v9(constB89)))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15655,plain,
% 6.76/4.97 (v185(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15654, 15653, 15540])).
% 6.76/4.97 tff(15656,plain,
% 6.76/4.97 ((v185(constB89) | v26(constB89)) | (~v185(constB89))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15657,plain,
% 6.76/4.97 (v185(constB89) | v26(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15656, 15655])).
% 6.76/4.97 tff(15658,plain,
% 6.76/4.97 ((~(v195(constB89) <=> (v185(constB89) | v26(constB89)))) | v195(constB89) | (~(v185(constB89) | v26(constB89)))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15659,plain,
% 6.76/4.97 (v195(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15658, 15657, 15538])).
% 6.76/4.97 tff(15660,plain,
% 6.76/4.97 ((~((~v194(constB89)) <=> v195(constB89))) | (~v194(constB89)) | (~v195(constB89))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15661,plain,
% 6.76/4.97 (~v194(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15660, 15659, 15529])).
% 6.76/4.97 tff(15662,plain,
% 6.76/4.97 (((~v157(constB89)) | (~v194(constB89))) | v194(constB89)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15663,plain,
% 6.76/4.97 ((~v157(constB89)) | (~v194(constB89))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15662, 15661])).
% 6.76/4.97 tff(15664,plain,
% 6.76/4.97 ((~(v193(constB89) <=> (~((~v157(constB89)) | (~v194(constB89)))))) | (~v193(constB89)) | (~((~v157(constB89)) | (~v194(constB89))))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15665,plain,
% 6.76/4.97 (~v193(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15664, 15663, 15520])).
% 6.76/4.97 tff(15666,plain,
% 6.76/4.97 ((~(v193(constB89) | v196(constB89))) | v193(constB89) | v196(constB89)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15667,plain,
% 6.76/4.97 (~(v193(constB89) | v196(constB89))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15666, 15665, 15513])).
% 6.76/4.97 tff(15668,plain,
% 6.76/4.97 ((~(v190(constB89) <=> (v193(constB89) | v196(constB89)))) | (~v190(constB89)) | (v193(constB89) | v196(constB89))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15669,plain,
% 6.76/4.97 (~v190(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15668, 15667, 15457])).
% 6.76/4.97 tff(15670,plain,
% 6.76/4.97 ((~(v192(constB90) <=> v190(constB89))) | (~v192(constB90)) | v190(constB89)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15671,plain,
% 6.76/4.97 (~v192(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15670, 15669, 15455])).
% 6.76/4.97 tff(15672,plain,
% 6.76/4.97 ((~(v157(constB90) <=> v192(constB90))) | (~v157(constB90)) | v192(constB90)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15673,plain,
% 6.76/4.97 (~v157(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15672, 15671, 15451])).
% 6.76/4.97 tff(15674,plain,
% 6.76/4.97 (((~v157(constB90)) | (~v194(constB90))) | v157(constB90)),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15675,plain,
% 6.76/4.97 ((~v157(constB90)) | (~v194(constB90))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15674, 15673])).
% 6.76/4.97 tff(15676,plain,
% 6.76/4.97 ((~(v193(constB90) <=> (~((~v157(constB90)) | (~v194(constB90)))))) | (~v193(constB90)) | (~((~v157(constB90)) | (~v194(constB90))))),
% 6.76/4.97 inference(tautology,[status(thm)],[])).
% 6.76/4.97 tff(15677,plain,
% 6.76/4.97 (~v193(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15676, 15675, 15449])).
% 6.76/4.97 tff(15678,plain,
% 6.76/4.97 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB90) <=> (~((~v159(constB90)) | (~v194(constB90)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB90) <=> (~((~v159(constB90)) | (~v194(constB90))))))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15679,plain,
% 6.76/4.97 ((v196(constB90) <=> (~((~v194(constB90)) | (~v159(constB90))))) <=> (v196(constB90) <=> (~((~v159(constB90)) | (~v194(constB90)))))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15680,plain,
% 6.76/4.97 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB90) <=> (~((~v194(constB90)) | (~v159(constB90)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB90) <=> (~((~v159(constB90)) | (~v194(constB90))))))),
% 6.76/4.97 inference(monotonicity,[status(thm)],[15679])).
% 6.76/4.97 tff(15681,plain,
% 6.76/4.97 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB90) <=> (~((~v194(constB90)) | (~v159(constB90)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB90) <=> (~((~v159(constB90)) | (~v194(constB90))))))),
% 6.76/4.97 inference(transitivity,[status(thm)],[15680, 15678])).
% 6.76/4.97 tff(15682,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB90) <=> (~((~v194(constB90)) | (~v159(constB90)))))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15683,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB90) <=> (~((~v159(constB90)) | (~v194(constB90)))))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15682, 15681])).
% 6.76/4.97 tff(15684,plain,
% 6.76/4.97 (v196(constB90) <=> (~((~v159(constB90)) | (~v194(constB90))))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15683, 15467])).
% 6.76/4.97 tff(15685,plain,
% 6.76/4.97 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB90) <=> v182(constB90))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15686,plain,
% 6.76/4.97 (v159(constB90) <=> v182(constB90)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15685, 15113])).
% 6.76/4.97 tff(15687,plain,
% 6.76/4.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB89, constB90)) | (v182(constB90) <=> v180(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB89, constB90)) | (v182(constB90) <=> v180(constB89)))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15688,plain,
% 6.76/4.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB89, constB90)) | (v182(constB90) <=> v180(constB89)))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15689,plain,
% 6.76/4.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB89, constB90)) | (v182(constB90) <=> v180(constB89))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15688, 15687])).
% 6.76/4.97 tff(15690,plain,
% 6.76/4.97 (v182(constB90) <=> v180(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15689, 1663, 15125])).
% 6.76/4.97 tff(15691,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB89) <=> (~((~v183(constB89)) | (~v184(constB89)))))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15692,plain,
% 6.76/4.97 (v180(constB89) <=> (~((~v183(constB89)) | (~v184(constB89))))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15691, 15139])).
% 6.76/4.97 tff(15693,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB89) <=> (~((~v185(constB89)) | (~v161(constB89)))))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15694,plain,
% 6.76/4.97 (v184(constB89) <=> (~((~v185(constB89)) | (~v161(constB89))))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15693, 15151])).
% 6.76/4.97 tff(15695,plain,
% 6.76/4.97 (^[VarCurr: state_type] : refl((v161(VarCurr) <=> v163(VarCurr)) <=> (v161(VarCurr) <=> v163(VarCurr)))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15696,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr)) <=> ![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15695])).
% 6.76/4.97 tff(15697,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr)) <=> ![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15698,axiom,(![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_10')).
% 6.76/4.97 tff(15699,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15698, 15697])).
% 6.76/4.97 tff(15700,plain,(
% 6.76/4.97 ![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))),
% 6.76/4.97 inference(skolemize,[status(sab)],[15699])).
% 6.76/4.97 tff(15701,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15700, 15696])).
% 6.76/4.97 tff(15702,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB89) <=> v163(constB89))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15703,plain,
% 6.76/4.97 (v161(constB89) <=> v163(constB89)),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15702, 15701])).
% 6.76/4.97 tff(15704,plain,
% 6.76/4.97 (^[VarCurr: state_type] : refl((v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))) <=> (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15705,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15704])).
% 6.76/4.97 tff(15706,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15707,plain,
% 6.76/4.97 (^[VarCurr: state_type] : rewrite((v166(VarCurr) <=> (v167(VarCurr) | v145(VarCurr))) <=> (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15708,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v166(VarCurr) <=> (v167(VarCurr) | v145(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15707])).
% 6.76/4.97 tff(15709,axiom,(![VarCurr: state_type] : (v166(VarCurr) <=> (v167(VarCurr) | v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39')).
% 6.76/4.97 tff(15710,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15709, 15708])).
% 6.76/4.97 tff(15711,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15710, 15706])).
% 6.76/4.97 tff(15712,plain,(
% 6.76/4.97 ![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 6.76/4.97 inference(skolemize,[status(sab)],[15711])).
% 6.76/4.97 tff(15713,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15712, 15705])).
% 6.76/4.97 tff(15714,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB89) <=> (v145(constB89) | v167(constB89)))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15715,plain,
% 6.76/4.97 (v166(constB89) <=> (v145(constB89) | v167(constB89))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15714, 15713])).
% 6.76/4.97 tff(15716,plain,
% 6.76/4.97 (^[VarCurr: state_type] : refl((v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))) <=> (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15717,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))) <=> ![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15716])).
% 6.76/4.97 tff(15718,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))) <=> ![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15719,plain,
% 6.76/4.97 (^[VarCurr: state_type] : rewrite((v167(VarCurr) <=> (v168(VarCurr) | v142(VarCurr))) <=> (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))))),
% 6.76/4.97 inference(bind,[status(th)],[])).
% 6.76/4.97 tff(15720,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v167(VarCurr) <=> (v168(VarCurr) | v142(VarCurr))) <=> ![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 6.76/4.97 inference(quant_intro,[status(thm)],[15719])).
% 6.76/4.97 tff(15721,axiom,(![VarCurr: state_type] : (v167(VarCurr) <=> (v168(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38')).
% 6.76/4.97 tff(15722,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15721, 15720])).
% 6.76/4.97 tff(15723,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15722, 15718])).
% 6.76/4.97 tff(15724,plain,(
% 6.76/4.97 ![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 6.76/4.97 inference(skolemize,[status(sab)],[15723])).
% 6.76/4.97 tff(15725,plain,
% 6.76/4.97 (![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 6.76/4.97 inference(modus_ponens,[status(thm)],[15724, 15717])).
% 6.76/4.97 tff(15726,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB89) <=> (v142(constB89) | v168(constB89)))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15727,plain,
% 6.76/4.97 (v167(constB89) <=> (v142(constB89) | v168(constB89))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15726, 15725])).
% 6.76/4.97 tff(15728,plain,
% 6.76/4.97 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB89) <=> (v143(constB89) | v144(constB89)))),
% 6.76/4.97 inference(quant_inst,[status(thm)],[])).
% 6.76/4.97 tff(15729,plain,
% 6.76/4.97 (v142(constB89) <=> (v143(constB89) | v144(constB89))),
% 6.76/4.97 inference(unit_resolution,[status(thm)],[15728, 221])).
% 6.76/4.97 tff(15730,plain,
% 6.76/4.97 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB89) <=> (~((~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB89) <=> (~((~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0)))))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15731,plain,
% 6.76/4.97 ((v143(constB89) <=> (~(v88(constB89, 0) | v88(constB89, 2) | (~v88(constB89, 1))))) <=> (v143(constB89) <=> (~((~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0))))),
% 6.76/4.97 inference(rewrite,[status(thm)],[])).
% 6.76/4.97 tff(15732,plain,
% 6.76/4.97 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB89) <=> (~(v88(constB89, 0) | v88(constB89, 2) | (~v88(constB89, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB89) <=> (~((~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0)))))),
% 6.76/4.98 inference(monotonicity,[status(thm)],[15731])).
% 6.76/4.98 tff(15733,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB89) <=> (~(v88(constB89, 0) | v88(constB89, 2) | (~v88(constB89, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB89) <=> (~((~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0)))))),
% 6.76/4.98 inference(transitivity,[status(thm)],[15732, 15730])).
% 6.76/4.98 tff(15734,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB89) <=> (~(v88(constB89, 0) | v88(constB89, 2) | (~v88(constB89, 1)))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15735,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB89) <=> (~((~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0))))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15734, 15733])).
% 6.76/4.98 tff(15736,plain,
% 6.76/4.98 (v143(constB89) <=> (~((~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0)))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15735, 236])).
% 6.76/4.98 tff(15737,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB89, 1)) <=> v90(constB89, 1)) | ((~v88(constB89, 2)) <=> v90(constB89, 2)) | ((~v88(constB89, 0)) <=> v90(constB89, 0))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15738,plain,
% 6.76/4.98 (~(((~v88(constB89, 1)) <=> v90(constB89, 1)) | ((~v88(constB89, 2)) <=> v90(constB89, 2)) | ((~v88(constB89, 0)) <=> v90(constB89, 0)))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15737, 256])).
% 6.76/4.98 tff(15739,plain,
% 6.76/4.98 ((((~v88(constB89, 1)) <=> v90(constB89, 1)) | ((~v88(constB89, 2)) <=> v90(constB89, 2)) | ((~v88(constB89, 0)) <=> v90(constB89, 0))) | (~((~v88(constB89, 2)) <=> v90(constB89, 2)))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15740,plain,
% 6.76/4.98 (~((~v88(constB89, 2)) <=> v90(constB89, 2))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15739, 15738])).
% 6.76/4.98 tff(15741,plain,
% 6.76/4.98 (((~v88(constB89, 2)) <=> v90(constB89, 2)) | (~v88(constB89, 2)) | v90(constB89, 2)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15742,plain,
% 6.76/4.98 (~v88(constB89, 2)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15741, 11789, 15740])).
% 6.76/4.98 tff(15743,plain,
% 6.76/4.98 ((((~v88(constB89, 1)) <=> v90(constB89, 1)) | ((~v88(constB89, 2)) <=> v90(constB89, 2)) | ((~v88(constB89, 0)) <=> v90(constB89, 0))) | (~((~v88(constB89, 0)) <=> v90(constB89, 0)))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15744,plain,
% 6.76/4.98 (~((~v88(constB89, 0)) <=> v90(constB89, 0))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15743, 15738])).
% 6.76/4.98 tff(15745,plain,
% 6.76/4.98 (((~v88(constB89, 0)) <=> v90(constB89, 0)) | (~v88(constB89, 0)) | v90(constB89, 0)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15746,plain,
% 6.76/4.98 (~v88(constB89, 0)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15745, 11807, 15744])).
% 6.76/4.98 tff(15747,plain,
% 6.76/4.98 ((((~v88(constB89, 1)) <=> v90(constB89, 1)) | ((~v88(constB89, 2)) <=> v90(constB89, 2)) | ((~v88(constB89, 0)) <=> v90(constB89, 0))) | (~((~v88(constB89, 1)) <=> v90(constB89, 1)))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15748,plain,
% 6.76/4.98 (~((~v88(constB89, 1)) <=> v90(constB89, 1))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15747, 15738])).
% 6.76/4.98 tff(15749,plain,
% 6.76/4.98 (((~v88(constB89, 1)) <=> v90(constB89, 1)) | v88(constB89, 1) | (~v90(constB89, 1))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15750,plain,
% 6.76/4.98 (v88(constB89, 1)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15749, 11825, 15748])).
% 6.76/4.98 tff(15751,plain,
% 6.76/4.98 ((~((~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0))) | (~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15752,plain,
% 6.76/4.98 (~((~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15751, 15750, 15746, 15742])).
% 6.76/4.98 tff(15753,plain,
% 6.76/4.98 ((~(v143(constB89) <=> (~((~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0))))) | v143(constB89) | ((~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15754,plain,
% 6.76/4.98 (v143(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15753, 15752, 15736])).
% 6.76/4.98 tff(15755,plain,
% 6.76/4.98 ((v143(constB89) | v144(constB89)) | (~v143(constB89))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15756,plain,
% 6.76/4.98 (v143(constB89) | v144(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15755, 15754])).
% 6.76/4.98 tff(15757,plain,
% 6.76/4.98 ((~(v142(constB89) <=> (v143(constB89) | v144(constB89)))) | v142(constB89) | (~(v143(constB89) | v144(constB89)))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15758,plain,
% 6.76/4.98 (v142(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15757, 15756, 15729])).
% 6.76/4.98 tff(15759,plain,
% 6.76/4.98 ((v142(constB89) | v168(constB89)) | (~v142(constB89))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15760,plain,
% 6.76/4.98 (v142(constB89) | v168(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15759, 15758])).
% 6.76/4.98 tff(15761,plain,
% 6.76/4.98 ((~(v167(constB89) <=> (v142(constB89) | v168(constB89)))) | v167(constB89) | (~(v142(constB89) | v168(constB89)))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15762,plain,
% 6.76/4.98 ((~(v167(constB89) <=> (v142(constB89) | v168(constB89)))) | v167(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15761, 15760])).
% 6.76/4.98 tff(15763,plain,
% 6.76/4.98 (v167(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15762, 15727])).
% 6.76/4.98 tff(15764,plain,
% 6.76/4.98 ((v145(constB89) | v167(constB89)) | (~v167(constB89))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15765,plain,
% 6.76/4.98 (v145(constB89) | v167(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15764, 15763])).
% 6.76/4.98 tff(15766,plain,
% 6.76/4.98 ((~(v166(constB89) <=> (v145(constB89) | v167(constB89)))) | v166(constB89) | (~(v145(constB89) | v167(constB89)))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15767,plain,
% 6.76/4.98 (v166(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15766, 15765, 15715])).
% 6.76/4.98 tff(15768,plain,
% 6.76/4.98 (^[VarNext: state_type] : refl(((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))) <=> ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))))),
% 6.76/4.98 inference(bind,[status(th)],[])).
% 6.76/4.98 tff(15769,plain,
% 6.76/4.98 (![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))) <=> ![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 6.76/4.98 inference(quant_intro,[status(thm)],[15768])).
% 6.76/4.98 tff(15770,plain,
% 6.76/4.98 (![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))) <=> ![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15771,plain,
% 6.76/4.98 (^[VarNext: state_type] : rewrite((v166(VarNext) => (v163(VarNext) <=> v170(VarNext))) <=> ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))))),
% 6.76/4.98 inference(bind,[status(th)],[])).
% 6.76/4.98 tff(15772,plain,
% 6.76/4.98 (![VarNext: state_type] : (v166(VarNext) => (v163(VarNext) <=> v170(VarNext))) <=> ![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 6.76/4.98 inference(quant_intro,[status(thm)],[15771])).
% 6.76/4.98 tff(15773,axiom,(![VarNext: state_type] : (v166(VarNext) => (v163(VarNext) <=> v170(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5')).
% 6.76/4.98 tff(15774,plain,
% 6.76/4.98 (![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15773, 15772])).
% 6.76/4.98 tff(15775,plain,
% 6.76/4.98 (![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15774, 15770])).
% 6.76/4.98 tff(15776,plain,(
% 6.76/4.98 ![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 6.76/4.98 inference(skolemize,[status(sab)],[15775])).
% 6.76/4.98 tff(15777,plain,
% 6.76/4.98 (![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15776, 15769])).
% 6.76/4.98 tff(15778,plain,
% 6.76/4.98 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB89)) | (v163(constB89) <=> v170(constB89)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB89)) | (v163(constB89) <=> v170(constB89)))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15779,plain,
% 6.76/4.98 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB89)) | (v163(constB89) <=> v170(constB89)))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15780,plain,
% 6.76/4.98 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB89)) | (v163(constB89) <=> v170(constB89))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15779, 15778])).
% 6.76/4.98 tff(15781,plain,
% 6.76/4.98 ((~v166(constB89)) | (v163(constB89) <=> v170(constB89))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15780, 15777])).
% 6.76/4.98 tff(15782,plain,
% 6.76/4.98 (v163(constB89) <=> v170(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15781, 15767])).
% 6.76/4.98 tff(15783,plain,
% 6.76/4.98 (^[VarCurr: state_type] : refl((v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2)))) <=> (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2)))))),
% 6.76/4.98 inference(bind,[status(th)],[])).
% 6.76/4.98 tff(15784,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2)))) <=> ![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))),
% 6.76/4.98 inference(quant_intro,[status(thm)],[15783])).
% 6.76/4.98 tff(15785,plain,
% 6.76/4.98 (^[VarCurr: state_type] : rewrite((v139(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0)))) <=> (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2)))))),
% 6.76/4.98 inference(bind,[status(th)],[])).
% 6.76/4.98 tff(15786,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v139(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))),
% 6.76/4.98 inference(quant_intro,[status(thm)],[15785])).
% 6.76/4.98 tff(15787,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v139(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v139(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0))))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15788,plain,
% 6.76/4.98 (^[VarCurr: state_type] : rewrite((v139(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $false)) & (v88(VarCurr, 0) <=> $false))) <=> (v139(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0)))))),
% 6.76/4.98 inference(bind,[status(th)],[])).
% 6.76/4.98 tff(15789,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v139(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $false)) & (v88(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v139(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0))))),
% 6.76/4.98 inference(quant_intro,[status(thm)],[15788])).
% 6.76/4.98 tff(15790,axiom,(![VarCurr: state_type] : (v139(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $false)) & (v88(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9')).
% 6.76/4.98 tff(15791,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v139(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0))))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15790, 15789])).
% 6.76/4.98 tff(15792,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v139(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0))))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15791, 15787])).
% 6.76/4.98 tff(15793,plain,(
% 6.76/4.98 ![VarCurr: state_type] : (v139(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0))))),
% 6.76/4.98 inference(skolemize,[status(sab)],[15792])).
% 6.76/4.98 tff(15794,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15793, 15786])).
% 6.76/4.98 tff(15795,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15794, 15784])).
% 6.76/4.98 tff(15796,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB89) <=> (~(v88(constB89, 0) | v88(constB89, 1) | v88(constB89, 2))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15797,plain,
% 6.76/4.98 (v139(constB89) <=> (~(v88(constB89, 0) | v88(constB89, 1) | v88(constB89, 2)))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15796, 15795])).
% 6.76/4.98 tff(15798,plain,
% 6.76/4.98 ((v88(constB89, 0) | v88(constB89, 1) | v88(constB89, 2)) | (~v88(constB89, 1))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15799,plain,
% 6.76/4.98 (v88(constB89, 0) | v88(constB89, 1) | v88(constB89, 2)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15798, 15750])).
% 6.76/4.98 tff(15800,plain,
% 6.76/4.98 ((~(v139(constB89) <=> (~(v88(constB89, 0) | v88(constB89, 1) | v88(constB89, 2))))) | (~v139(constB89)) | (~(v88(constB89, 0) | v88(constB89, 1) | v88(constB89, 2)))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15801,plain,
% 6.76/4.98 (~v139(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15800, 15799, 15797])).
% 6.76/4.98 tff(15802,plain,
% 6.76/4.98 (^[VarCurr: state_type] : refl((v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0))))) <=> (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0))))))),
% 6.76/4.98 inference(bind,[status(th)],[])).
% 6.76/4.98 tff(15803,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0))))) <=> ![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))),
% 6.76/4.98 inference(quant_intro,[status(thm)],[15802])).
% 6.76/4.98 tff(15804,plain,
% 6.76/4.98 (^[VarCurr: state_type] : rewrite((v140(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & v88(VarCurr, 0))) <=> (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0))))))),
% 6.76/4.98 inference(bind,[status(th)],[])).
% 6.76/4.98 tff(15805,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v140(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & v88(VarCurr, 0))) <=> ![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))),
% 6.76/4.98 inference(quant_intro,[status(thm)],[15804])).
% 6.76/4.98 tff(15806,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v140(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & v88(VarCurr, 0))) <=> ![VarCurr: state_type] : (v140(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & v88(VarCurr, 0)))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15807,plain,
% 6.76/4.98 (^[VarCurr: state_type] : rewrite((v140(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $false)) & (v88(VarCurr, 0) <=> $true))) <=> (v140(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & v88(VarCurr, 0))))),
% 6.76/4.98 inference(bind,[status(th)],[])).
% 6.76/4.98 tff(15808,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v140(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $false)) & (v88(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v140(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & v88(VarCurr, 0)))),
% 6.76/4.98 inference(quant_intro,[status(thm)],[15807])).
% 6.76/4.98 tff(15809,axiom,(![VarCurr: state_type] : (v140(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $false)) & (v88(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10')).
% 6.76/4.98 tff(15810,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v140(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & v88(VarCurr, 0)))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15809, 15808])).
% 6.76/4.98 tff(15811,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v140(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & v88(VarCurr, 0)))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15810, 15806])).
% 6.76/4.98 tff(15812,plain,(
% 6.76/4.98 ![VarCurr: state_type] : (v140(VarCurr) <=> ((~v88(VarCurr, 2)) & (~v88(VarCurr, 1)) & v88(VarCurr, 0)))),
% 6.76/4.98 inference(skolemize,[status(sab)],[15811])).
% 6.76/4.98 tff(15813,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15812, 15805])).
% 6.76/4.98 tff(15814,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15813, 15803])).
% 6.76/4.98 tff(15815,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB89) <=> (~(v88(constB89, 1) | v88(constB89, 2) | (~v88(constB89, 0)))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15816,plain,
% 6.76/4.98 (v140(constB89) <=> (~(v88(constB89, 1) | v88(constB89, 2) | (~v88(constB89, 0))))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15815, 15814])).
% 6.76/4.98 tff(15817,plain,
% 6.76/4.98 ((v88(constB89, 1) | v88(constB89, 2) | (~v88(constB89, 0))) | (~v88(constB89, 1))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15818,plain,
% 6.76/4.98 (v88(constB89, 1) | v88(constB89, 2) | (~v88(constB89, 0))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15817, 15750])).
% 6.76/4.98 tff(15819,plain,
% 6.76/4.98 ((~(v140(constB89) <=> (~(v88(constB89, 1) | v88(constB89, 2) | (~v88(constB89, 0)))))) | (~v140(constB89)) | (~(v88(constB89, 1) | v88(constB89, 2) | (~v88(constB89, 0))))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15820,plain,
% 6.76/4.98 (~v140(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15819, 15818, 15816])).
% 6.76/4.98 tff(15821,plain,
% 6.76/4.98 (^[VarCurr: state_type] : refl((v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr))))),
% 6.76/4.98 inference(bind,[status(th)],[])).
% 6.76/4.98 tff(15822,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))),
% 6.76/4.98 inference(quant_intro,[status(thm)],[15821])).
% 6.76/4.98 tff(15823,plain,
% 6.76/4.98 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~v139(VarCurr)) & (~v140(VarCurr))) <=> (~(v139(VarCurr) | v140(VarCurr)))), ((~((~v139(VarCurr)) & (~v140(VarCurr)))) <=> (~(~(v139(VarCurr) | v140(VarCurr)))))), rewrite((~(~(v139(VarCurr) | v140(VarCurr)))) <=> (v139(VarCurr) | v140(VarCurr))), ((~((~v139(VarCurr)) & (~v140(VarCurr)))) <=> (v139(VarCurr) | v140(VarCurr)))), (((~v170(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr))))) <=> ((~v170(VarCurr)) | (v139(VarCurr) | v140(VarCurr))))), rewrite(((~v170(VarCurr)) | (v139(VarCurr) | v140(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))), (((~v170(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr))))) <=> (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))))),
% 6.76/4.98 inference(bind,[status(th)],[])).
% 6.76/4.98 tff(15824,plain,
% 6.76/4.98 (![VarCurr: state_type] : ((~v170(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr))))) <=> ![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))),
% 6.76/4.98 inference(quant_intro,[status(thm)],[15823])).
% 6.76/4.98 tff(15825,plain,
% 6.76/4.98 (![VarCurr: state_type] : ((~v170(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr))))) <=> ![VarCurr: state_type] : ((~v170(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15826,plain,
% 6.76/4.98 (^[VarCurr: state_type] : trans(monotonicity(rewrite((v170(VarCurr) <=> $false) <=> (~v170(VarCurr))), ((((~v139(VarCurr)) & (~v140(VarCurr))) => (v170(VarCurr) <=> $false)) <=> (((~v139(VarCurr)) & (~v140(VarCurr))) => (~v170(VarCurr))))), rewrite((((~v139(VarCurr)) & (~v140(VarCurr))) => (~v170(VarCurr))) <=> ((~v170(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))), ((((~v139(VarCurr)) & (~v140(VarCurr))) => (v170(VarCurr) <=> $false)) <=> ((~v170(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))))),
% 6.76/4.98 inference(bind,[status(th)],[])).
% 6.76/4.98 tff(15827,plain,
% 6.76/4.98 (![VarCurr: state_type] : (((~v139(VarCurr)) & (~v140(VarCurr))) => (v170(VarCurr) <=> $false)) <=> ![VarCurr: state_type] : ((~v170(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 6.76/4.98 inference(quant_intro,[status(thm)],[15826])).
% 6.76/4.98 tff(15828,axiom,(![VarCurr: state_type] : (((~v139(VarCurr)) & (~v140(VarCurr))) => (v170(VarCurr) <=> $false))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2')).
% 6.76/4.98 tff(15829,plain,
% 6.76/4.98 (![VarCurr: state_type] : ((~v170(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15828, 15827])).
% 6.76/4.98 tff(15830,plain,
% 6.76/4.98 (![VarCurr: state_type] : ((~v170(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15829, 15825])).
% 6.76/4.98 tff(15831,plain,(
% 6.76/4.98 ![VarCurr: state_type] : ((~v170(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 6.76/4.98 inference(skolemize,[status(sab)],[15830])).
% 6.76/4.98 tff(15832,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15831, 15824])).
% 6.76/4.98 tff(15833,plain,
% 6.76/4.98 (![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15832, 15822])).
% 6.76/4.98 tff(15834,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB89) | v139(constB89) | (~v170(constB89)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB89) | v139(constB89) | (~v170(constB89)))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15835,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB89) | v139(constB89) | (~v170(constB89)))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15836,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB89) | v139(constB89) | (~v170(constB89))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15835, 15834])).
% 6.76/4.98 tff(15837,plain,
% 6.76/4.98 (v140(constB89) | v139(constB89) | (~v170(constB89))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15836, 15833])).
% 6.76/4.98 tff(15838,plain,
% 6.76/4.98 (~v170(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15837, 15820, 15801])).
% 6.76/4.98 tff(15839,plain,
% 6.76/4.98 ((~(v163(constB89) <=> v170(constB89))) | (~v163(constB89)) | v170(constB89)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15840,plain,
% 6.76/4.98 ((~(v163(constB89) <=> v170(constB89))) | (~v163(constB89))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15839, 15838])).
% 6.76/4.98 tff(15841,plain,
% 6.76/4.98 (~v163(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15840, 15782])).
% 6.76/4.98 tff(15842,plain,
% 6.76/4.98 ((~(v161(constB89) <=> v163(constB89))) | (~v161(constB89)) | v163(constB89)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15843,plain,
% 6.76/4.98 ((~(v161(constB89) <=> v163(constB89))) | (~v161(constB89))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15842, 15841])).
% 6.76/4.98 tff(15844,plain,
% 6.76/4.98 (~v161(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15843, 15703])).
% 6.76/4.98 tff(15845,plain,
% 6.76/4.98 (((~v185(constB89)) | (~v161(constB89))) | v161(constB89)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15846,plain,
% 6.76/4.98 ((~v185(constB89)) | (~v161(constB89))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15845, 15844])).
% 6.76/4.98 tff(15847,plain,
% 6.76/4.98 ((~(v184(constB89) <=> (~((~v185(constB89)) | (~v161(constB89)))))) | (~v184(constB89)) | (~((~v185(constB89)) | (~v161(constB89))))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15848,plain,
% 6.76/4.98 (~v184(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15847, 15846, 15694])).
% 6.76/4.98 tff(15849,plain,
% 6.76/4.98 (((~v183(constB89)) | (~v184(constB89))) | v184(constB89)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15850,plain,
% 6.76/4.98 ((~v183(constB89)) | (~v184(constB89))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15849, 15848])).
% 6.76/4.98 tff(15851,plain,
% 6.76/4.98 ((~(v180(constB89) <=> (~((~v183(constB89)) | (~v184(constB89)))))) | (~v180(constB89)) | (~((~v183(constB89)) | (~v184(constB89))))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15852,plain,
% 6.76/4.98 (~v180(constB89)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15851, 15850, 15692])).
% 6.76/4.98 tff(15853,plain,
% 6.76/4.98 ((~(v182(constB90) <=> v180(constB89))) | (~v182(constB90)) | v180(constB89)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15854,plain,
% 6.76/4.98 (~v182(constB90)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15853, 15852, 15690])).
% 6.76/4.98 tff(15855,plain,
% 6.76/4.98 ((~(v159(constB90) <=> v182(constB90))) | (~v159(constB90)) | v182(constB90)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15856,plain,
% 6.76/4.98 (~v159(constB90)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15855, 15854, 15686])).
% 6.76/4.98 tff(15857,plain,
% 6.76/4.98 (((~v159(constB90)) | (~v194(constB90))) | v159(constB90)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15858,plain,
% 6.76/4.98 ((~v159(constB90)) | (~v194(constB90))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15857, 15856])).
% 6.76/4.98 tff(15859,plain,
% 6.76/4.98 ((~(v196(constB90) <=> (~((~v159(constB90)) | (~v194(constB90)))))) | (~v196(constB90)) | (~((~v159(constB90)) | (~v194(constB90))))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15860,plain,
% 6.76/4.98 (~v196(constB90)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15859, 15858, 15684])).
% 6.76/4.98 tff(15861,plain,
% 6.76/4.98 ((~(v193(constB90) | v196(constB90))) | v193(constB90) | v196(constB90)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15862,plain,
% 6.76/4.98 (~(v193(constB90) | v196(constB90))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15861, 15860, 15677])).
% 6.76/4.98 tff(15863,plain,
% 6.76/4.98 ((~(v190(constB90) <=> (v193(constB90) | v196(constB90)))) | (~v190(constB90)) | (v193(constB90) | v196(constB90))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15864,plain,
% 6.76/4.98 (~v190(constB90)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15863, 15862, 15432])).
% 6.76/4.98 tff(15865,plain,
% 6.76/4.98 ((~(v192(constB91) <=> v190(constB90))) | (~v192(constB91)) | v190(constB90)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15866,plain,
% 6.76/4.98 (~v192(constB91)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15865, 15864, 15423])).
% 6.76/4.98 tff(15867,plain,
% 6.76/4.98 ((~(v157(constB91) <=> v192(constB91))) | (~v157(constB91)) | v192(constB91)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15868,plain,
% 6.76/4.98 (~v157(constB91)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15867, 15866, 15409])).
% 6.76/4.98 tff(15869,plain,
% 6.76/4.98 (((~v157(constB91)) | (~v202(constB91))) | v157(constB91)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15870,plain,
% 6.76/4.98 ((~v157(constB91)) | (~v202(constB91))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15869, 15868])).
% 6.76/4.98 tff(15871,plain,
% 6.76/4.98 ((~(v201(constB91) <=> (~((~v157(constB91)) | (~v202(constB91)))))) | (~v201(constB91)) | (~((~v157(constB91)) | (~v202(constB91))))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15872,plain,
% 6.76/4.98 (~v201(constB91)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15871, 15870, 15397])).
% 6.76/4.98 tff(15873,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB91) <=> (~((~v159(constB91)) | (~v202(constB91)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB91) <=> (~((~v159(constB91)) | (~v202(constB91))))))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15874,plain,
% 6.76/4.98 ((v205(constB91) <=> (~((~v202(constB91)) | (~v159(constB91))))) <=> (v205(constB91) <=> (~((~v159(constB91)) | (~v202(constB91)))))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15875,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB91) <=> (~((~v202(constB91)) | (~v159(constB91)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB91) <=> (~((~v159(constB91)) | (~v202(constB91))))))),
% 6.76/4.98 inference(monotonicity,[status(thm)],[15874])).
% 6.76/4.98 tff(15876,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB91) <=> (~((~v202(constB91)) | (~v159(constB91)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB91) <=> (~((~v159(constB91)) | (~v202(constB91))))))),
% 6.76/4.98 inference(transitivity,[status(thm)],[15875, 15873])).
% 6.76/4.98 tff(15877,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB91) <=> (~((~v202(constB91)) | (~v159(constB91)))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15878,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB91) <=> (~((~v159(constB91)) | (~v202(constB91)))))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15877, 15876])).
% 6.76/4.98 tff(15879,plain,
% 6.76/4.98 (v205(constB91) <=> (~((~v159(constB91)) | (~v202(constB91))))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15878, 138])).
% 6.76/4.98 tff(15880,plain,
% 6.76/4.98 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB91) <=> v182(constB91))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15881,plain,
% 6.76/4.98 (v159(constB91) <=> v182(constB91)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15880, 15113])).
% 6.76/4.98 tff(15882,plain,
% 6.76/4.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB90, constB91)) | (v182(constB91) <=> v180(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB90, constB91)) | (v182(constB91) <=> v180(constB90)))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15883,plain,
% 6.76/4.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB90, constB91)) | (v182(constB91) <=> v180(constB90)))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15884,plain,
% 6.76/4.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB90, constB91)) | (v182(constB91) <=> v180(constB90))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15883, 15882])).
% 6.76/4.98 tff(15885,plain,
% 6.76/4.98 (v182(constB91) <=> v180(constB90)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15884, 1627, 15125])).
% 6.76/4.98 tff(15886,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB90) <=> (~((~v183(constB90)) | (~v184(constB90)))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15887,plain,
% 6.76/4.98 (v180(constB90) <=> (~((~v183(constB90)) | (~v184(constB90))))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15886, 15139])).
% 6.76/4.98 tff(15888,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB90) <=> (~((~v185(constB90)) | (~v161(constB90)))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15889,plain,
% 6.76/4.98 (v184(constB90) <=> (~((~v185(constB90)) | (~v161(constB90))))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15888, 15151])).
% 6.76/4.98 tff(15890,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15891,plain,
% 6.76/4.98 (v185(constB90) <=> (~((~v39(constB90)) | (~v9(constB90))))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15890, 93])).
% 6.76/4.98 tff(15892,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB90)) <=> v1(constB90))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15893,plain,
% 6.76/4.98 ((~v39(constB90)) <=> v1(constB90)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15892, 102])).
% 6.76/4.98 tff(15894,plain,
% 6.76/4.98 ((~((~v39(constB90)) <=> v1(constB90))) | (~v39(constB90)) | (~v1(constB90))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15895,plain,
% 6.76/4.98 ((~((~v39(constB90)) <=> v1(constB90))) | (~v39(constB90))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15894, 11867])).
% 6.76/4.98 tff(15896,plain,
% 6.76/4.98 (~v39(constB90)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15895, 15893])).
% 6.76/4.98 tff(15897,plain,
% 6.76/4.98 (((~v39(constB90)) | (~v9(constB90))) | v39(constB90)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15898,plain,
% 6.76/4.98 ((~v39(constB90)) | (~v9(constB90))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15897, 15896])).
% 6.76/4.98 tff(15899,plain,
% 6.76/4.98 ((~(v185(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))) | (~v185(constB90)) | (~((~v39(constB90)) | (~v9(constB90))))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15900,plain,
% 6.76/4.98 ((~(v185(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))) | (~v185(constB90))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15899, 15898])).
% 6.76/4.98 tff(15901,plain,
% 6.76/4.98 (~v185(constB90)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15900, 15891])).
% 6.76/4.98 tff(15902,plain,
% 6.76/4.98 (((~v185(constB90)) | (~v161(constB90))) | v185(constB90)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15903,plain,
% 6.76/4.98 ((~v185(constB90)) | (~v161(constB90))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15902, 15901])).
% 6.76/4.98 tff(15904,plain,
% 6.76/4.98 ((~(v184(constB90) <=> (~((~v185(constB90)) | (~v161(constB90)))))) | (~v184(constB90)) | (~((~v185(constB90)) | (~v161(constB90))))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15905,plain,
% 6.76/4.98 ((~(v184(constB90) <=> (~((~v185(constB90)) | (~v161(constB90)))))) | (~v184(constB90))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15904, 15903])).
% 6.76/4.98 tff(15906,plain,
% 6.76/4.98 (~v184(constB90)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15905, 15889])).
% 6.76/4.98 tff(15907,plain,
% 6.76/4.98 (((~v183(constB90)) | (~v184(constB90))) | v184(constB90)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15908,plain,
% 6.76/4.98 ((~v183(constB90)) | (~v184(constB90))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15907, 15906])).
% 6.76/4.98 tff(15909,plain,
% 6.76/4.98 ((~(v180(constB90) <=> (~((~v183(constB90)) | (~v184(constB90)))))) | (~v180(constB90)) | (~((~v183(constB90)) | (~v184(constB90))))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15910,plain,
% 6.76/4.98 (~v180(constB90)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15909, 15908, 15887])).
% 6.76/4.98 tff(15911,plain,
% 6.76/4.98 ((~(v182(constB91) <=> v180(constB90))) | (~v182(constB91)) | v180(constB90)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15912,plain,
% 6.76/4.98 (~v182(constB91)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15911, 15910, 15885])).
% 6.76/4.98 tff(15913,plain,
% 6.76/4.98 ((~(v159(constB91) <=> v182(constB91))) | (~v159(constB91)) | v182(constB91)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15914,plain,
% 6.76/4.98 (~v159(constB91)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15913, 15912, 15881])).
% 6.76/4.98 tff(15915,plain,
% 6.76/4.98 (((~v159(constB91)) | (~v202(constB91))) | v159(constB91)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15916,plain,
% 6.76/4.98 ((~v159(constB91)) | (~v202(constB91))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15915, 15914])).
% 6.76/4.98 tff(15917,plain,
% 6.76/4.98 ((~(v205(constB91) <=> (~((~v159(constB91)) | (~v202(constB91)))))) | (~v205(constB91)) | (~((~v159(constB91)) | (~v202(constB91))))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15918,plain,
% 6.76/4.98 (~v205(constB91)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15917, 15916, 15879])).
% 6.76/4.98 tff(15919,plain,
% 6.76/4.98 ((~(v201(constB91) | v205(constB91))) | v201(constB91) | v205(constB91)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15920,plain,
% 6.76/4.98 ((~(v201(constB91) | v205(constB91))) | v201(constB91)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15919, 15918])).
% 6.76/4.98 tff(15921,plain,
% 6.76/4.98 (~(v201(constB91) | v205(constB91))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15920, 15872])).
% 6.76/4.98 tff(15922,plain,
% 6.76/4.98 ((~(v200(constB91) <=> (v201(constB91) | v205(constB91)))) | (~v200(constB91)) | (v201(constB91) | v205(constB91))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15923,plain,
% 6.76/4.98 (~v200(constB91)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15922, 15921, 15390])).
% 6.76/4.98 tff(15924,plain,
% 6.76/4.98 ($false),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15923, 15388])).
% 6.76/4.98 tff(15925,plain,(~(constB91 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 6.76/4.98 tff(15926,assumption,(constB174 = VarCurr!0), introduced(assumption)).
% 6.76/4.98 tff(15927,plain,
% 6.76/4.98 (v200(constB174) <=> v200(VarCurr!0)),
% 6.76/4.98 inference(monotonicity,[status(thm)],[15926])).
% 6.76/4.98 tff(15928,plain,
% 6.76/4.98 (v200(VarCurr!0) <=> v200(constB174)),
% 6.76/4.98 inference(symmetry,[status(thm)],[15927])).
% 6.76/4.98 tff(15929,plain,
% 6.76/4.98 (v200(constB174)),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[27, 15928])).
% 6.76/4.98 tff(15930,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB174) <=> (v201(constB174) | v205(constB174)))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15931,plain,
% 6.76/4.98 (v200(constB174) <=> (v201(constB174) | v205(constB174))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15930, 35])).
% 6.76/4.98 tff(15932,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB174) <=> (~((~v157(constB174)) | (~v202(constB174)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB174) <=> (~((~v157(constB174)) | (~v202(constB174))))))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15933,plain,
% 6.76/4.98 ((v201(constB174) <=> (~((~v202(constB174)) | (~v157(constB174))))) <=> (v201(constB174) <=> (~((~v157(constB174)) | (~v202(constB174)))))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15934,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB174) <=> (~((~v202(constB174)) | (~v157(constB174)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB174) <=> (~((~v157(constB174)) | (~v202(constB174))))))),
% 6.76/4.98 inference(monotonicity,[status(thm)],[15933])).
% 6.76/4.98 tff(15935,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB174) <=> (~((~v202(constB174)) | (~v157(constB174)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB174) <=> (~((~v157(constB174)) | (~v202(constB174))))))),
% 6.76/4.98 inference(transitivity,[status(thm)],[15934, 15932])).
% 6.76/4.98 tff(15936,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB174) <=> (~((~v202(constB174)) | (~v157(constB174)))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15937,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB174) <=> (~((~v157(constB174)) | (~v202(constB174)))))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15936, 15935])).
% 6.76/4.98 tff(15938,plain,
% 6.76/4.98 (v201(constB174) <=> (~((~v157(constB174)) | (~v202(constB174))))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15937, 47])).
% 6.76/4.98 tff(15939,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB174) <=> (~((~v183(constB174)) | (~v203(constB174)))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15940,plain,
% 6.76/4.98 (v202(constB174) <=> (~((~v183(constB174)) | (~v203(constB174))))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15939, 64])).
% 6.76/4.98 tff(15941,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB174) <=> (~((~v185(constB174)) | (~v204(constB174)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB174) <=> (~((~v185(constB174)) | (~v204(constB174))))))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15942,plain,
% 6.76/4.98 ((v203(constB174) <=> (~((~v204(constB174)) | (~v185(constB174))))) <=> (v203(constB174) <=> (~((~v185(constB174)) | (~v204(constB174)))))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15943,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB174) <=> (~((~v204(constB174)) | (~v185(constB174)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB174) <=> (~((~v185(constB174)) | (~v204(constB174))))))),
% 6.76/4.98 inference(monotonicity,[status(thm)],[15942])).
% 6.76/4.98 tff(15944,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB174) <=> (~((~v204(constB174)) | (~v185(constB174)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB174) <=> (~((~v185(constB174)) | (~v204(constB174))))))),
% 6.76/4.98 inference(transitivity,[status(thm)],[15943, 15941])).
% 6.76/4.98 tff(15945,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB174) <=> (~((~v204(constB174)) | (~v185(constB174)))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15946,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB174) <=> (~((~v185(constB174)) | (~v204(constB174)))))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15945, 15944])).
% 6.76/4.98 tff(15947,plain,
% 6.76/4.98 (v203(constB174) <=> (~((~v185(constB174)) | (~v204(constB174))))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15946, 76])).
% 6.76/4.98 tff(15948,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15949,plain,
% 6.76/4.98 (v185(constB174) <=> (~((~v39(constB174)) | (~v9(constB174))))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15948, 93])).
% 6.76/4.98 tff(15950,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB174)) <=> v1(constB174))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15951,plain,
% 6.76/4.98 ((~v39(constB174)) <=> v1(constB174)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15950, 102])).
% 6.76/4.98 tff(15952,plain,
% 6.76/4.98 (v1(constB174) <=> v1(constB174)),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15953,axiom,(v1(constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_174')).
% 6.76/4.98 tff(15954,plain,
% 6.76/4.98 (v1(constB174)),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15953, 15952])).
% 6.76/4.98 tff(15955,plain,
% 6.76/4.98 ((~((~v39(constB174)) <=> v1(constB174))) | (~v39(constB174)) | (~v1(constB174))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15956,plain,
% 6.76/4.98 ((~((~v39(constB174)) <=> v1(constB174))) | (~v39(constB174))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15955, 15954])).
% 6.76/4.98 tff(15957,plain,
% 6.76/4.98 (~v39(constB174)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15956, 15951])).
% 6.76/4.98 tff(15958,plain,
% 6.76/4.98 (((~v39(constB174)) | (~v9(constB174))) | v39(constB174)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15959,plain,
% 6.76/4.98 ((~v39(constB174)) | (~v9(constB174))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15958, 15957])).
% 6.76/4.98 tff(15960,plain,
% 6.76/4.98 ((~(v185(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))) | (~v185(constB174)) | (~((~v39(constB174)) | (~v9(constB174))))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15961,plain,
% 6.76/4.98 ((~(v185(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))) | (~v185(constB174))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15960, 15959])).
% 6.76/4.98 tff(15962,plain,
% 6.76/4.98 (~v185(constB174)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15961, 15949])).
% 6.76/4.98 tff(15963,plain,
% 6.76/4.98 (((~v185(constB174)) | (~v204(constB174))) | v185(constB174)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15964,plain,
% 6.76/4.98 ((~v185(constB174)) | (~v204(constB174))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15963, 15962])).
% 6.76/4.98 tff(15965,plain,
% 6.76/4.98 ((~(v203(constB174) <=> (~((~v185(constB174)) | (~v204(constB174)))))) | (~v203(constB174)) | (~((~v185(constB174)) | (~v204(constB174))))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15966,plain,
% 6.76/4.98 ((~(v203(constB174) <=> (~((~v185(constB174)) | (~v204(constB174)))))) | (~v203(constB174))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15965, 15964])).
% 6.76/4.98 tff(15967,plain,
% 6.76/4.98 (~v203(constB174)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15966, 15947])).
% 6.76/4.98 tff(15968,plain,
% 6.76/4.98 (((~v183(constB174)) | (~v203(constB174))) | v203(constB174)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15969,plain,
% 6.76/4.98 ((~v183(constB174)) | (~v203(constB174))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15968, 15967])).
% 6.76/4.98 tff(15970,plain,
% 6.76/4.98 ((~(v202(constB174) <=> (~((~v183(constB174)) | (~v203(constB174)))))) | (~v202(constB174)) | (~((~v183(constB174)) | (~v203(constB174))))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15971,plain,
% 6.76/4.98 (~v202(constB174)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15970, 15969, 15940])).
% 6.76/4.98 tff(15972,plain,
% 6.76/4.98 (((~v157(constB174)) | (~v202(constB174))) | v202(constB174)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15973,plain,
% 6.76/4.98 ((~v157(constB174)) | (~v202(constB174))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15972, 15971])).
% 6.76/4.98 tff(15974,plain,
% 6.76/4.98 ((~(v201(constB174) <=> (~((~v157(constB174)) | (~v202(constB174)))))) | (~v201(constB174)) | (~((~v157(constB174)) | (~v202(constB174))))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15975,plain,
% 6.76/4.98 (~v201(constB174)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15974, 15973, 15938])).
% 6.76/4.98 tff(15976,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB174) <=> (~((~v159(constB174)) | (~v202(constB174)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB174) <=> (~((~v159(constB174)) | (~v202(constB174))))))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15977,plain,
% 6.76/4.98 ((v205(constB174) <=> (~((~v202(constB174)) | (~v159(constB174))))) <=> (v205(constB174) <=> (~((~v159(constB174)) | (~v202(constB174)))))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(15978,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB174) <=> (~((~v202(constB174)) | (~v159(constB174)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB174) <=> (~((~v159(constB174)) | (~v202(constB174))))))),
% 6.76/4.98 inference(monotonicity,[status(thm)],[15977])).
% 6.76/4.98 tff(15979,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB174) <=> (~((~v202(constB174)) | (~v159(constB174)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB174) <=> (~((~v159(constB174)) | (~v202(constB174))))))),
% 6.76/4.98 inference(transitivity,[status(thm)],[15978, 15976])).
% 6.76/4.98 tff(15980,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB174) <=> (~((~v202(constB174)) | (~v159(constB174)))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15981,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB174) <=> (~((~v159(constB174)) | (~v202(constB174)))))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[15980, 15979])).
% 6.76/4.98 tff(15982,plain,
% 6.76/4.98 (v205(constB174) <=> (~((~v159(constB174)) | (~v202(constB174))))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15981, 138])).
% 6.76/4.98 tff(15983,plain,
% 6.76/4.98 (((~v159(constB174)) | (~v202(constB174))) | v202(constB174)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15984,plain,
% 6.76/4.98 ((~v159(constB174)) | (~v202(constB174))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15983, 15971])).
% 6.76/4.98 tff(15985,plain,
% 6.76/4.98 ((~(v205(constB174) <=> (~((~v159(constB174)) | (~v202(constB174)))))) | (~v205(constB174)) | (~((~v159(constB174)) | (~v202(constB174))))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15986,plain,
% 6.76/4.98 (~v205(constB174)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15985, 15984, 15982])).
% 6.76/4.98 tff(15987,plain,
% 6.76/4.98 ((~(v201(constB174) | v205(constB174))) | v201(constB174) | v205(constB174)),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15988,plain,
% 6.76/4.98 (~(v201(constB174) | v205(constB174))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15987, 15986, 15975])).
% 6.76/4.98 tff(15989,plain,
% 6.76/4.98 ((~(v200(constB174) <=> (v201(constB174) | v205(constB174)))) | (~v200(constB174)) | (v201(constB174) | v205(constB174))),
% 6.76/4.98 inference(tautology,[status(thm)],[])).
% 6.76/4.98 tff(15990,plain,
% 6.76/4.98 ((~(v200(constB174) <=> (v201(constB174) | v205(constB174)))) | (~v200(constB174))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15989, 15988])).
% 6.76/4.98 tff(15991,plain,
% 6.76/4.98 (~v200(constB174)),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15990, 15931])).
% 6.76/4.98 tff(15992,plain,
% 6.76/4.98 ($false),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15991, 15929])).
% 6.76/4.98 tff(15993,plain,(~(constB174 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 6.76/4.98 tff(15994,assumption,(constB80 = VarCurr!0), introduced(assumption)).
% 6.76/4.98 tff(15995,plain,
% 6.76/4.98 (v200(constB80) <=> v200(VarCurr!0)),
% 6.76/4.98 inference(monotonicity,[status(thm)],[15994])).
% 6.76/4.98 tff(15996,plain,
% 6.76/4.98 (v200(VarCurr!0) <=> v200(constB80)),
% 6.76/4.98 inference(symmetry,[status(thm)],[15995])).
% 6.76/4.98 tff(15997,plain,
% 6.76/4.98 (v200(constB80)),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[27, 15996])).
% 6.76/4.98 tff(15998,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB80) <=> (v201(constB80) | v205(constB80)))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(15999,plain,
% 6.76/4.98 (v200(constB80) <=> (v201(constB80) | v205(constB80))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[15998, 35])).
% 6.76/4.98 tff(16000,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB80) <=> (~((~v157(constB80)) | (~v202(constB80)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB80) <=> (~((~v157(constB80)) | (~v202(constB80))))))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(16001,plain,
% 6.76/4.98 ((v201(constB80) <=> (~((~v202(constB80)) | (~v157(constB80))))) <=> (v201(constB80) <=> (~((~v157(constB80)) | (~v202(constB80)))))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(16002,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB80) <=> (~((~v202(constB80)) | (~v157(constB80)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB80) <=> (~((~v157(constB80)) | (~v202(constB80))))))),
% 6.76/4.98 inference(monotonicity,[status(thm)],[16001])).
% 6.76/4.98 tff(16003,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB80) <=> (~((~v202(constB80)) | (~v157(constB80)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB80) <=> (~((~v157(constB80)) | (~v202(constB80))))))),
% 6.76/4.98 inference(transitivity,[status(thm)],[16002, 16000])).
% 6.76/4.98 tff(16004,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB80) <=> (~((~v202(constB80)) | (~v157(constB80)))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(16005,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB80) <=> (~((~v157(constB80)) | (~v202(constB80)))))),
% 6.76/4.98 inference(modus_ponens,[status(thm)],[16004, 16003])).
% 6.76/4.98 tff(16006,plain,
% 6.76/4.98 (v201(constB80) <=> (~((~v157(constB80)) | (~v202(constB80))))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[16005, 47])).
% 6.76/4.98 tff(16007,plain,
% 6.76/4.98 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB80) <=> (~((~v183(constB80)) | (~v203(constB80)))))),
% 6.76/4.98 inference(quant_inst,[status(thm)],[])).
% 6.76/4.98 tff(16008,plain,
% 6.76/4.98 (v202(constB80) <=> (~((~v183(constB80)) | (~v203(constB80))))),
% 6.76/4.98 inference(unit_resolution,[status(thm)],[16007, 64])).
% 6.76/4.98 tff(16009,plain,
% 6.76/4.98 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB80) <=> (~((~v185(constB80)) | (~v204(constB80)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB80) <=> (~((~v185(constB80)) | (~v204(constB80))))))),
% 6.76/4.98 inference(rewrite,[status(thm)],[])).
% 6.76/4.98 tff(16010,plain,
% 6.76/4.98 ((v203(constB80) <=> (~((~v204(constB80)) | (~v185(constB80))))) <=> (v203(constB80) <=> (~((~v185(constB80)) | (~v204(constB80)))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16011,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB80) <=> (~((~v204(constB80)) | (~v185(constB80)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB80) <=> (~((~v185(constB80)) | (~v204(constB80))))))),
% 6.76/4.99 inference(monotonicity,[status(thm)],[16010])).
% 6.76/4.99 tff(16012,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB80) <=> (~((~v204(constB80)) | (~v185(constB80)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB80) <=> (~((~v185(constB80)) | (~v204(constB80))))))),
% 6.76/4.99 inference(transitivity,[status(thm)],[16011, 16009])).
% 6.76/4.99 tff(16013,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB80) <=> (~((~v204(constB80)) | (~v185(constB80)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16014,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB80) <=> (~((~v185(constB80)) | (~v204(constB80)))))),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[16013, 16012])).
% 6.76/4.99 tff(16015,plain,
% 6.76/4.99 (v203(constB80) <=> (~((~v185(constB80)) | (~v204(constB80))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16014, 76])).
% 6.76/4.99 tff(16016,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16017,plain,
% 6.76/4.99 (v185(constB80) <=> (~((~v39(constB80)) | (~v9(constB80))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16016, 93])).
% 6.76/4.99 tff(16018,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB80)) <=> v1(constB80))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16019,plain,
% 6.76/4.99 ((~v39(constB80)) <=> v1(constB80)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16018, 102])).
% 6.76/4.99 tff(16020,plain,
% 6.76/4.99 ((~((~v39(constB80)) <=> v1(constB80))) | (~v39(constB80)) | (~v1(constB80))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16021,plain,
% 6.76/4.99 ((~((~v39(constB80)) <=> v1(constB80))) | (~v39(constB80))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16020, 11069])).
% 6.76/4.99 tff(16022,plain,
% 6.76/4.99 (~v39(constB80)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16021, 16019])).
% 6.76/4.99 tff(16023,plain,
% 6.76/4.99 (((~v39(constB80)) | (~v9(constB80))) | v39(constB80)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16024,plain,
% 6.76/4.99 ((~v39(constB80)) | (~v9(constB80))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16023, 16022])).
% 6.76/4.99 tff(16025,plain,
% 6.76/4.99 ((~(v185(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))) | (~v185(constB80)) | (~((~v39(constB80)) | (~v9(constB80))))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16026,plain,
% 6.76/4.99 ((~(v185(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))) | (~v185(constB80))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16025, 16024])).
% 6.76/4.99 tff(16027,plain,
% 6.76/4.99 (~v185(constB80)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16026, 16017])).
% 6.76/4.99 tff(16028,plain,
% 6.76/4.99 (((~v185(constB80)) | (~v204(constB80))) | v185(constB80)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16029,plain,
% 6.76/4.99 ((~v185(constB80)) | (~v204(constB80))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16028, 16027])).
% 6.76/4.99 tff(16030,plain,
% 6.76/4.99 ((~(v203(constB80) <=> (~((~v185(constB80)) | (~v204(constB80)))))) | (~v203(constB80)) | (~((~v185(constB80)) | (~v204(constB80))))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16031,plain,
% 6.76/4.99 ((~(v203(constB80) <=> (~((~v185(constB80)) | (~v204(constB80)))))) | (~v203(constB80))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16030, 16029])).
% 6.76/4.99 tff(16032,plain,
% 6.76/4.99 (~v203(constB80)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16031, 16015])).
% 6.76/4.99 tff(16033,plain,
% 6.76/4.99 (((~v183(constB80)) | (~v203(constB80))) | v203(constB80)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16034,plain,
% 6.76/4.99 ((~v183(constB80)) | (~v203(constB80))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16033, 16032])).
% 6.76/4.99 tff(16035,plain,
% 6.76/4.99 ((~(v202(constB80) <=> (~((~v183(constB80)) | (~v203(constB80)))))) | (~v202(constB80)) | (~((~v183(constB80)) | (~v203(constB80))))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16036,plain,
% 6.76/4.99 (~v202(constB80)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16035, 16034, 16008])).
% 6.76/4.99 tff(16037,plain,
% 6.76/4.99 (((~v157(constB80)) | (~v202(constB80))) | v202(constB80)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16038,plain,
% 6.76/4.99 ((~v157(constB80)) | (~v202(constB80))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16037, 16036])).
% 6.76/4.99 tff(16039,plain,
% 6.76/4.99 ((~(v201(constB80) <=> (~((~v157(constB80)) | (~v202(constB80)))))) | (~v201(constB80)) | (~((~v157(constB80)) | (~v202(constB80))))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16040,plain,
% 6.76/4.99 (~v201(constB80)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16039, 16038, 16006])).
% 6.76/4.99 tff(16041,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB80) <=> (~((~v159(constB80)) | (~v202(constB80)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB80) <=> (~((~v159(constB80)) | (~v202(constB80))))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16042,plain,
% 6.76/4.99 ((v205(constB80) <=> (~((~v202(constB80)) | (~v159(constB80))))) <=> (v205(constB80) <=> (~((~v159(constB80)) | (~v202(constB80)))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16043,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB80) <=> (~((~v202(constB80)) | (~v159(constB80)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB80) <=> (~((~v159(constB80)) | (~v202(constB80))))))),
% 6.76/4.99 inference(monotonicity,[status(thm)],[16042])).
% 6.76/4.99 tff(16044,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB80) <=> (~((~v202(constB80)) | (~v159(constB80)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB80) <=> (~((~v159(constB80)) | (~v202(constB80))))))),
% 6.76/4.99 inference(transitivity,[status(thm)],[16043, 16041])).
% 6.76/4.99 tff(16045,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB80) <=> (~((~v202(constB80)) | (~v159(constB80)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16046,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB80) <=> (~((~v159(constB80)) | (~v202(constB80)))))),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[16045, 16044])).
% 6.76/4.99 tff(16047,plain,
% 6.76/4.99 (v205(constB80) <=> (~((~v159(constB80)) | (~v202(constB80))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16046, 138])).
% 6.76/4.99 tff(16048,plain,
% 6.76/4.99 (((~v159(constB80)) | (~v202(constB80))) | v202(constB80)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16049,plain,
% 6.76/4.99 ((~v159(constB80)) | (~v202(constB80))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16048, 16036])).
% 6.76/4.99 tff(16050,plain,
% 6.76/4.99 ((~(v205(constB80) <=> (~((~v159(constB80)) | (~v202(constB80)))))) | (~v205(constB80)) | (~((~v159(constB80)) | (~v202(constB80))))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16051,plain,
% 6.76/4.99 (~v205(constB80)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16050, 16049, 16047])).
% 6.76/4.99 tff(16052,plain,
% 6.76/4.99 ((~(v201(constB80) | v205(constB80))) | v201(constB80) | v205(constB80)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16053,plain,
% 6.76/4.99 (~(v201(constB80) | v205(constB80))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16052, 16051, 16040])).
% 6.76/4.99 tff(16054,plain,
% 6.76/4.99 ((~(v200(constB80) <=> (v201(constB80) | v205(constB80)))) | (~v200(constB80)) | (v201(constB80) | v205(constB80))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16055,plain,
% 6.76/4.99 ((~(v200(constB80) <=> (v201(constB80) | v205(constB80)))) | (~v200(constB80))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16054, 16053])).
% 6.76/4.99 tff(16056,plain,
% 6.76/4.99 (~v200(constB80)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16055, 15999])).
% 6.76/4.99 tff(16057,plain,
% 6.76/4.99 ($false),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16056, 15997])).
% 6.76/4.99 tff(16058,plain,(~(constB80 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 6.76/4.99 tff(16059,assumption,(constB100 = VarCurr!0), introduced(assumption)).
% 6.76/4.99 tff(16060,plain,
% 6.76/4.99 (v200(constB100) <=> v200(VarCurr!0)),
% 6.76/4.99 inference(monotonicity,[status(thm)],[16059])).
% 6.76/4.99 tff(16061,plain,
% 6.76/4.99 (v200(VarCurr!0) <=> v200(constB100)),
% 6.76/4.99 inference(symmetry,[status(thm)],[16060])).
% 6.76/4.99 tff(16062,plain,
% 6.76/4.99 (v200(constB100)),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[27, 16061])).
% 6.76/4.99 tff(16063,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB100) <=> (v201(constB100) | v205(constB100)))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16064,plain,
% 6.76/4.99 (v200(constB100) <=> (v201(constB100) | v205(constB100))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16063, 35])).
% 6.76/4.99 tff(16065,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB100) <=> (~((~v157(constB100)) | (~v202(constB100)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB100) <=> (~((~v157(constB100)) | (~v202(constB100))))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16066,plain,
% 6.76/4.99 ((v201(constB100) <=> (~((~v202(constB100)) | (~v157(constB100))))) <=> (v201(constB100) <=> (~((~v157(constB100)) | (~v202(constB100)))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16067,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB100) <=> (~((~v202(constB100)) | (~v157(constB100)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB100) <=> (~((~v157(constB100)) | (~v202(constB100))))))),
% 6.76/4.99 inference(monotonicity,[status(thm)],[16066])).
% 6.76/4.99 tff(16068,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB100) <=> (~((~v202(constB100)) | (~v157(constB100)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB100) <=> (~((~v157(constB100)) | (~v202(constB100))))))),
% 6.76/4.99 inference(transitivity,[status(thm)],[16067, 16065])).
% 6.76/4.99 tff(16069,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB100) <=> (~((~v202(constB100)) | (~v157(constB100)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16070,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB100) <=> (~((~v157(constB100)) | (~v202(constB100)))))),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[16069, 16068])).
% 6.76/4.99 tff(16071,plain,
% 6.76/4.99 (v201(constB100) <=> (~((~v157(constB100)) | (~v202(constB100))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16070, 47])).
% 6.76/4.99 tff(16072,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB100) <=> (~((~v183(constB100)) | (~v203(constB100)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16073,plain,
% 6.76/4.99 (v202(constB100) <=> (~((~v183(constB100)) | (~v203(constB100))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16072, 64])).
% 6.76/4.99 tff(16074,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB100) <=> (~((~v185(constB100)) | (~v204(constB100)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB100) <=> (~((~v185(constB100)) | (~v204(constB100))))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16075,plain,
% 6.76/4.99 ((v203(constB100) <=> (~((~v204(constB100)) | (~v185(constB100))))) <=> (v203(constB100) <=> (~((~v185(constB100)) | (~v204(constB100)))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16076,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB100) <=> (~((~v204(constB100)) | (~v185(constB100)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB100) <=> (~((~v185(constB100)) | (~v204(constB100))))))),
% 6.76/4.99 inference(monotonicity,[status(thm)],[16075])).
% 6.76/4.99 tff(16077,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB100) <=> (~((~v204(constB100)) | (~v185(constB100)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB100) <=> (~((~v185(constB100)) | (~v204(constB100))))))),
% 6.76/4.99 inference(transitivity,[status(thm)],[16076, 16074])).
% 6.76/4.99 tff(16078,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB100) <=> (~((~v204(constB100)) | (~v185(constB100)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16079,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB100) <=> (~((~v185(constB100)) | (~v204(constB100)))))),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[16078, 16077])).
% 6.76/4.99 tff(16080,plain,
% 6.76/4.99 (v203(constB100) <=> (~((~v185(constB100)) | (~v204(constB100))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16079, 76])).
% 6.76/4.99 tff(16081,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB100) <=> (~((~v39(constB100)) | (~v9(constB100)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16082,plain,
% 6.76/4.99 (v185(constB100) <=> (~((~v39(constB100)) | (~v9(constB100))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16081, 93])).
% 6.76/4.99 tff(16083,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB100)) <=> v1(constB100))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16084,plain,
% 6.76/4.99 ((~v39(constB100)) <=> v1(constB100)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16083, 102])).
% 6.76/4.99 tff(16085,plain,
% 6.76/4.99 ((~((~v39(constB100)) <=> v1(constB100))) | (~v39(constB100)) | (~v1(constB100))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16086,plain,
% 6.76/4.99 ((~((~v39(constB100)) <=> v1(constB100))) | (~v39(constB100))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16085, 12668])).
% 6.76/4.99 tff(16087,plain,
% 6.76/4.99 (~v39(constB100)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16086, 16084])).
% 6.76/4.99 tff(16088,plain,
% 6.76/4.99 (((~v39(constB100)) | (~v9(constB100))) | v39(constB100)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16089,plain,
% 6.76/4.99 ((~v39(constB100)) | (~v9(constB100))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16088, 16087])).
% 6.76/4.99 tff(16090,plain,
% 6.76/4.99 ((~(v185(constB100) <=> (~((~v39(constB100)) | (~v9(constB100)))))) | (~v185(constB100)) | (~((~v39(constB100)) | (~v9(constB100))))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16091,plain,
% 6.76/4.99 ((~(v185(constB100) <=> (~((~v39(constB100)) | (~v9(constB100)))))) | (~v185(constB100))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16090, 16089])).
% 6.76/4.99 tff(16092,plain,
% 6.76/4.99 (~v185(constB100)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16091, 16082])).
% 6.76/4.99 tff(16093,plain,
% 6.76/4.99 (((~v185(constB100)) | (~v204(constB100))) | v185(constB100)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16094,plain,
% 6.76/4.99 ((~v185(constB100)) | (~v204(constB100))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16093, 16092])).
% 6.76/4.99 tff(16095,plain,
% 6.76/4.99 ((~(v203(constB100) <=> (~((~v185(constB100)) | (~v204(constB100)))))) | (~v203(constB100)) | (~((~v185(constB100)) | (~v204(constB100))))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16096,plain,
% 6.76/4.99 ((~(v203(constB100) <=> (~((~v185(constB100)) | (~v204(constB100)))))) | (~v203(constB100))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16095, 16094])).
% 6.76/4.99 tff(16097,plain,
% 6.76/4.99 (~v203(constB100)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16096, 16080])).
% 6.76/4.99 tff(16098,plain,
% 6.76/4.99 (((~v183(constB100)) | (~v203(constB100))) | v203(constB100)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16099,plain,
% 6.76/4.99 ((~v183(constB100)) | (~v203(constB100))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16098, 16097])).
% 6.76/4.99 tff(16100,plain,
% 6.76/4.99 ((~(v202(constB100) <=> (~((~v183(constB100)) | (~v203(constB100)))))) | (~v202(constB100)) | (~((~v183(constB100)) | (~v203(constB100))))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16101,plain,
% 6.76/4.99 (~v202(constB100)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16100, 16099, 16073])).
% 6.76/4.99 tff(16102,plain,
% 6.76/4.99 (((~v157(constB100)) | (~v202(constB100))) | v202(constB100)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16103,plain,
% 6.76/4.99 ((~v157(constB100)) | (~v202(constB100))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16102, 16101])).
% 6.76/4.99 tff(16104,plain,
% 6.76/4.99 ((~(v201(constB100) <=> (~((~v157(constB100)) | (~v202(constB100)))))) | (~v201(constB100)) | (~((~v157(constB100)) | (~v202(constB100))))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16105,plain,
% 6.76/4.99 (~v201(constB100)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16104, 16103, 16071])).
% 6.76/4.99 tff(16106,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB100) <=> (~((~v159(constB100)) | (~v202(constB100)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB100) <=> (~((~v159(constB100)) | (~v202(constB100))))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16107,plain,
% 6.76/4.99 ((v205(constB100) <=> (~((~v202(constB100)) | (~v159(constB100))))) <=> (v205(constB100) <=> (~((~v159(constB100)) | (~v202(constB100)))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16108,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB100) <=> (~((~v202(constB100)) | (~v159(constB100)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB100) <=> (~((~v159(constB100)) | (~v202(constB100))))))),
% 6.76/4.99 inference(monotonicity,[status(thm)],[16107])).
% 6.76/4.99 tff(16109,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB100) <=> (~((~v202(constB100)) | (~v159(constB100)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB100) <=> (~((~v159(constB100)) | (~v202(constB100))))))),
% 6.76/4.99 inference(transitivity,[status(thm)],[16108, 16106])).
% 6.76/4.99 tff(16110,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB100) <=> (~((~v202(constB100)) | (~v159(constB100)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16111,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB100) <=> (~((~v159(constB100)) | (~v202(constB100)))))),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[16110, 16109])).
% 6.76/4.99 tff(16112,plain,
% 6.76/4.99 (v205(constB100) <=> (~((~v159(constB100)) | (~v202(constB100))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16111, 138])).
% 6.76/4.99 tff(16113,plain,
% 6.76/4.99 (((~v159(constB100)) | (~v202(constB100))) | v202(constB100)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16114,plain,
% 6.76/4.99 ((~v159(constB100)) | (~v202(constB100))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16113, 16101])).
% 6.76/4.99 tff(16115,plain,
% 6.76/4.99 ((~(v205(constB100) <=> (~((~v159(constB100)) | (~v202(constB100)))))) | (~v205(constB100)) | (~((~v159(constB100)) | (~v202(constB100))))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16116,plain,
% 6.76/4.99 (~v205(constB100)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16115, 16114, 16112])).
% 6.76/4.99 tff(16117,plain,
% 6.76/4.99 ((~(v201(constB100) | v205(constB100))) | v201(constB100) | v205(constB100)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16118,plain,
% 6.76/4.99 (~(v201(constB100) | v205(constB100))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16117, 16116, 16105])).
% 6.76/4.99 tff(16119,plain,
% 6.76/4.99 ((~(v200(constB100) <=> (v201(constB100) | v205(constB100)))) | (~v200(constB100)) | (v201(constB100) | v205(constB100))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16120,plain,
% 6.76/4.99 ((~(v200(constB100) <=> (v201(constB100) | v205(constB100)))) | (~v200(constB100))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16119, 16118])).
% 6.76/4.99 tff(16121,plain,
% 6.76/4.99 (~v200(constB100)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16120, 16064])).
% 6.76/4.99 tff(16122,plain,
% 6.76/4.99 ($false),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16121, 16062])).
% 6.76/4.99 tff(16123,plain,(~(constB100 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 6.76/4.99 tff(16124,assumption,(constB51 = VarCurr!0), introduced(assumption)).
% 6.76/4.99 tff(16125,plain,
% 6.76/4.99 (v200(constB51) <=> v200(VarCurr!0)),
% 6.76/4.99 inference(monotonicity,[status(thm)],[16124])).
% 6.76/4.99 tff(16126,plain,
% 6.76/4.99 (v200(VarCurr!0) <=> v200(constB51)),
% 6.76/4.99 inference(symmetry,[status(thm)],[16125])).
% 6.76/4.99 tff(16127,plain,
% 6.76/4.99 (v200(constB51)),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[27, 16126])).
% 6.76/4.99 tff(16128,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB51) <=> (v201(constB51) | v205(constB51)))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16129,plain,
% 6.76/4.99 (v200(constB51) <=> (v201(constB51) | v205(constB51))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16128, 35])).
% 6.76/4.99 tff(16130,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB51) <=> (~((~v157(constB51)) | (~v202(constB51)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB51) <=> (~((~v157(constB51)) | (~v202(constB51))))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16131,plain,
% 6.76/4.99 ((v201(constB51) <=> (~((~v202(constB51)) | (~v157(constB51))))) <=> (v201(constB51) <=> (~((~v157(constB51)) | (~v202(constB51)))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16132,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB51) <=> (~((~v202(constB51)) | (~v157(constB51)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB51) <=> (~((~v157(constB51)) | (~v202(constB51))))))),
% 6.76/4.99 inference(monotonicity,[status(thm)],[16131])).
% 6.76/4.99 tff(16133,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB51) <=> (~((~v202(constB51)) | (~v157(constB51)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB51) <=> (~((~v157(constB51)) | (~v202(constB51))))))),
% 6.76/4.99 inference(transitivity,[status(thm)],[16132, 16130])).
% 6.76/4.99 tff(16134,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB51) <=> (~((~v202(constB51)) | (~v157(constB51)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16135,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB51) <=> (~((~v157(constB51)) | (~v202(constB51)))))),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[16134, 16133])).
% 6.76/4.99 tff(16136,plain,
% 6.76/4.99 (v201(constB51) <=> (~((~v157(constB51)) | (~v202(constB51))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16135, 47])).
% 6.76/4.99 tff(16137,plain,
% 6.76/4.99 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB51) <=> v192(constB51))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16138,plain,
% 6.76/4.99 (v157(constB51) <=> v192(constB51)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16137, 15407])).
% 6.76/4.99 tff(16139,plain,
% 6.76/4.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB50, constB51)) | (v192(constB51) <=> v190(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB50, constB51)) | (v192(constB51) <=> v190(constB50)))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16140,plain,
% 6.76/4.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB50, constB51)) | (v192(constB51) <=> v190(constB50)))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16141,plain,
% 6.76/4.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB50, constB51)) | (v192(constB51) <=> v190(constB50))),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[16140, 16139])).
% 6.76/4.99 tff(16142,plain,
% 6.76/4.99 (v192(constB51) <=> v190(constB50)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16141, 2907, 15419])).
% 6.76/4.99 tff(16143,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB50) <=> (v193(constB50) | v196(constB50)))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16144,plain,
% 6.76/4.99 (v190(constB50) <=> (v193(constB50) | v196(constB50))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16143, 15430])).
% 6.76/4.99 tff(16145,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB50) <=> (~((~v157(constB50)) | (~v194(constB50)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB50) <=> (~((~v157(constB50)) | (~v194(constB50))))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16146,plain,
% 6.76/4.99 ((v193(constB50) <=> (~((~v194(constB50)) | (~v157(constB50))))) <=> (v193(constB50) <=> (~((~v157(constB50)) | (~v194(constB50)))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16147,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB50) <=> (~((~v194(constB50)) | (~v157(constB50)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB50) <=> (~((~v157(constB50)) | (~v194(constB50))))))),
% 6.76/4.99 inference(monotonicity,[status(thm)],[16146])).
% 6.76/4.99 tff(16148,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB50) <=> (~((~v194(constB50)) | (~v157(constB50)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB50) <=> (~((~v157(constB50)) | (~v194(constB50))))))),
% 6.76/4.99 inference(transitivity,[status(thm)],[16147, 16145])).
% 6.76/4.99 tff(16149,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB50) <=> (~((~v194(constB50)) | (~v157(constB50)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16150,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB50) <=> (~((~v157(constB50)) | (~v194(constB50)))))),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[16149, 16148])).
% 6.76/4.99 tff(16151,plain,
% 6.76/4.99 (v193(constB50) <=> (~((~v157(constB50)) | (~v194(constB50))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16150, 15442])).
% 6.76/4.99 tff(16152,plain,
% 6.76/4.99 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB50) <=> v192(constB50))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16153,plain,
% 6.76/4.99 (v157(constB50) <=> v192(constB50)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16152, 15407])).
% 6.76/4.99 tff(16154,plain,
% 6.76/4.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB49, constB50)) | (v192(constB50) <=> v190(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB49, constB50)) | (v192(constB50) <=> v190(constB49)))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16155,plain,
% 6.76/4.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB49, constB50)) | (v192(constB50) <=> v190(constB49)))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16156,plain,
% 6.76/4.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB49, constB50)) | (v192(constB50) <=> v190(constB49))),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[16155, 16154])).
% 6.76/4.99 tff(16157,plain,
% 6.76/4.99 (v192(constB50) <=> v190(constB49)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16156, 2943, 15419])).
% 6.76/4.99 tff(16158,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB49) <=> (v193(constB49) | v196(constB49)))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16159,plain,
% 6.76/4.99 (v190(constB49) <=> (v193(constB49) | v196(constB49))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16158, 15430])).
% 6.76/4.99 tff(16160,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB49) <=> (~((~v159(constB49)) | (~v194(constB49)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB49) <=> (~((~v159(constB49)) | (~v194(constB49))))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16161,plain,
% 6.76/4.99 ((v196(constB49) <=> (~((~v194(constB49)) | (~v159(constB49))))) <=> (v196(constB49) <=> (~((~v159(constB49)) | (~v194(constB49)))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16162,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB49) <=> (~((~v194(constB49)) | (~v159(constB49)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB49) <=> (~((~v159(constB49)) | (~v194(constB49))))))),
% 6.76/4.99 inference(monotonicity,[status(thm)],[16161])).
% 6.76/4.99 tff(16163,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB49) <=> (~((~v194(constB49)) | (~v159(constB49)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB49) <=> (~((~v159(constB49)) | (~v194(constB49))))))),
% 6.76/4.99 inference(transitivity,[status(thm)],[16162, 16160])).
% 6.76/4.99 tff(16164,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB49) <=> (~((~v194(constB49)) | (~v159(constB49)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16165,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB49) <=> (~((~v159(constB49)) | (~v194(constB49)))))),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[16164, 16163])).
% 6.76/4.99 tff(16166,plain,
% 6.76/4.99 (v196(constB49) <=> (~((~v159(constB49)) | (~v194(constB49))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16165, 15467])).
% 6.76/4.99 tff(16167,plain,
% 6.76/4.99 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB49) <=> v182(constB49))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16168,plain,
% 6.76/4.99 (v159(constB49) <=> v182(constB49)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16167, 15113])).
% 6.76/4.99 tff(16169,plain,
% 6.76/4.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB48, constB49)) | (v182(constB49) <=> v180(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB48, constB49)) | (v182(constB49) <=> v180(constB48)))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16170,plain,
% 6.76/4.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB48, constB49)) | (v182(constB49) <=> v180(constB48)))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16171,plain,
% 6.76/4.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB48, constB49)) | (v182(constB49) <=> v180(constB48))),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[16170, 16169])).
% 6.76/4.99 tff(16172,plain,
% 6.76/4.99 (v182(constB49) <=> v180(constB48)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16171, 2973, 15125])).
% 6.76/4.99 tff(16173,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB48) <=> (~((~v183(constB48)) | (~v184(constB48)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16174,plain,
% 6.76/4.99 (v180(constB48) <=> (~((~v183(constB48)) | (~v184(constB48))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16173, 15139])).
% 6.76/4.99 tff(16175,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB48) <=> (~((~v185(constB48)) | (~v161(constB48)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16176,plain,
% 6.76/4.99 (v184(constB48) <=> (~((~v185(constB48)) | (~v161(constB48))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16175, 15151])).
% 6.76/4.99 tff(16177,plain,
% 6.76/4.99 (((~v185(constB48)) | (~v161(constB48))) | v185(constB48)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16178,plain,
% 6.76/4.99 ((~v185(constB48)) | (~v161(constB48))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16177, 15353])).
% 6.76/4.99 tff(16179,plain,
% 6.76/4.99 ((~(v184(constB48) <=> (~((~v185(constB48)) | (~v161(constB48)))))) | (~v184(constB48)) | (~((~v185(constB48)) | (~v161(constB48))))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16180,plain,
% 6.76/4.99 ((~(v184(constB48) <=> (~((~v185(constB48)) | (~v161(constB48)))))) | (~v184(constB48))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16179, 16178])).
% 6.76/4.99 tff(16181,plain,
% 6.76/4.99 (~v184(constB48)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16180, 16176])).
% 6.76/4.99 tff(16182,plain,
% 6.76/4.99 (((~v183(constB48)) | (~v184(constB48))) | v184(constB48)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16183,plain,
% 6.76/4.99 ((~v183(constB48)) | (~v184(constB48))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16182, 16181])).
% 6.76/4.99 tff(16184,plain,
% 6.76/4.99 ((~(v180(constB48) <=> (~((~v183(constB48)) | (~v184(constB48)))))) | (~v180(constB48)) | (~((~v183(constB48)) | (~v184(constB48))))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16185,plain,
% 6.76/4.99 (~v180(constB48)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16184, 16183, 16174])).
% 6.76/4.99 tff(16186,plain,
% 6.76/4.99 ((~(v182(constB49) <=> v180(constB48))) | (~v182(constB49)) | v180(constB48)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16187,plain,
% 6.76/4.99 (~v182(constB49)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16186, 16185, 16172])).
% 6.76/4.99 tff(16188,plain,
% 6.76/4.99 ((~(v159(constB49) <=> v182(constB49))) | (~v159(constB49)) | v182(constB49)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16189,plain,
% 6.76/4.99 (~v159(constB49)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16188, 16187, 16168])).
% 6.76/4.99 tff(16190,plain,
% 6.76/4.99 (((~v159(constB49)) | (~v194(constB49))) | v159(constB49)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16191,plain,
% 6.76/4.99 ((~v159(constB49)) | (~v194(constB49))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16190, 16189])).
% 6.76/4.99 tff(16192,plain,
% 6.76/4.99 ((~(v196(constB49) <=> (~((~v159(constB49)) | (~v194(constB49)))))) | (~v196(constB49)) | (~((~v159(constB49)) | (~v194(constB49))))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16193,plain,
% 6.76/4.99 (~v196(constB49)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16192, 16191, 16166])).
% 6.76/4.99 tff(16194,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB49) <=> (~((~v157(constB49)) | (~v194(constB49)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB49) <=> (~((~v157(constB49)) | (~v194(constB49))))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16195,plain,
% 6.76/4.99 ((v193(constB49) <=> (~((~v194(constB49)) | (~v157(constB49))))) <=> (v193(constB49) <=> (~((~v157(constB49)) | (~v194(constB49)))))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16196,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB49) <=> (~((~v194(constB49)) | (~v157(constB49)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB49) <=> (~((~v157(constB49)) | (~v194(constB49))))))),
% 6.76/4.99 inference(monotonicity,[status(thm)],[16195])).
% 6.76/4.99 tff(16197,plain,
% 6.76/4.99 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB49) <=> (~((~v194(constB49)) | (~v157(constB49)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB49) <=> (~((~v157(constB49)) | (~v194(constB49))))))),
% 6.76/4.99 inference(transitivity,[status(thm)],[16196, 16194])).
% 6.76/4.99 tff(16198,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB49) <=> (~((~v194(constB49)) | (~v157(constB49)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16199,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB49) <=> (~((~v157(constB49)) | (~v194(constB49)))))),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[16198, 16197])).
% 6.76/4.99 tff(16200,plain,
% 6.76/4.99 (v193(constB49) <=> (~((~v157(constB49)) | (~v194(constB49))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16199, 15442])).
% 6.76/4.99 tff(16201,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB49)) <=> v195(constB49))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16202,plain,
% 6.76/4.99 ((~v194(constB49)) <=> v195(constB49)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16201, 15527])).
% 6.76/4.99 tff(16203,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB49) <=> (v185(constB49) | v26(constB49)))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16204,plain,
% 6.76/4.99 (v195(constB49) <=> (v185(constB49) | v26(constB49))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16203, 15536])).
% 6.76/4.99 tff(16205,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB49) <=> (~((~v39(constB49)) | (~v9(constB49)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16206,plain,
% 6.76/4.99 (v185(constB49) <=> (~((~v39(constB49)) | (~v9(constB49))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16205, 93])).
% 6.76/4.99 tff(16207,plain,
% 6.76/4.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49)))),
% 6.76/4.99 inference(rewrite,[status(thm)],[])).
% 6.76/4.99 tff(16208,plain,
% 6.76/4.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49)))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16209,plain,
% 6.76/4.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49))),
% 6.76/4.99 inference(modus_ponens,[status(thm)],[16208, 16207])).
% 6.76/4.99 tff(16210,plain,
% 6.76/4.99 (v13(constB50) <=> v9(constB49)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16209, 2943, 15550])).
% 6.76/4.99 tff(16211,plain,
% 6.76/4.99 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB50) <=> v13(constB50))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16212,plain,
% 6.76/4.99 (v6(constB50) <=> v13(constB50)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16211, 15564])).
% 6.76/4.99 tff(16213,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB50)) <=> v6(constB50))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16214,plain,
% 6.76/4.99 ((~v21(constB50)) <=> v6(constB50)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16213, 15573])).
% 6.76/4.99 tff(16215,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB50) <=> (v20(constB50) | v21(constB50)))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16216,plain,
% 6.76/4.99 (v19(constB50) <=> (v20(constB50) | v21(constB50))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16215, 15582])).
% 6.76/4.99 tff(16217,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50)))))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16218,plain,
% 6.76/4.99 (v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50))))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16217, 15594])).
% 6.76/4.99 tff(16219,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB50)) <=> v18(constB50))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16220,plain,
% 6.76/4.99 ((~v4(constB50)) <=> v18(constB50)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16219, 15603])).
% 6.76/4.99 tff(16221,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB50)),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16222,plain,
% 6.76/4.99 (v4(constB50)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16221, 15612])).
% 6.76/4.99 tff(16223,plain,
% 6.76/4.99 ((~((~v4(constB50)) <=> v18(constB50))) | (~v4(constB50)) | (~v18(constB50))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16224,plain,
% 6.76/4.99 (~v18(constB50)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16223, 16222, 16220])).
% 6.76/4.99 tff(16225,plain,
% 6.76/4.99 ((~(v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50)))))) | v18(constB50) | ((~v19(constB50)) | (~v22(constB50)))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16226,plain,
% 6.76/4.99 ((~v19(constB50)) | (~v22(constB50))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16225, 16224, 16218])).
% 6.76/4.99 tff(16227,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB50) <=> (v1(constB50) | v6(constB50)))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16228,plain,
% 6.76/4.99 (v22(constB50) <=> (v1(constB50) | v6(constB50))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16227, 15625])).
% 6.76/4.99 tff(16229,plain,
% 6.76/4.99 ((v1(constB50) | v6(constB50)) | (~v1(constB50))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16230,plain,
% 6.76/4.99 (v1(constB50) | v6(constB50)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16229, 8669])).
% 6.76/4.99 tff(16231,plain,
% 6.76/4.99 ((~(v22(constB50) <=> (v1(constB50) | v6(constB50)))) | v22(constB50) | (~(v1(constB50) | v6(constB50)))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16232,plain,
% 6.76/4.99 ((~(v22(constB50) <=> (v1(constB50) | v6(constB50)))) | v22(constB50)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16231, 16230])).
% 6.76/4.99 tff(16233,plain,
% 6.76/4.99 (v22(constB50)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16232, 16228])).
% 6.76/4.99 tff(16234,plain,
% 6.76/4.99 ((~((~v19(constB50)) | (~v22(constB50)))) | (~v19(constB50)) | (~v22(constB50))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16235,plain,
% 6.76/4.99 ((~((~v19(constB50)) | (~v22(constB50)))) | (~v19(constB50))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16234, 16233])).
% 6.76/4.99 tff(16236,plain,
% 6.76/4.99 (~v19(constB50)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16235, 16226])).
% 6.76/4.99 tff(16237,plain,
% 6.76/4.99 ((~(v19(constB50) <=> (v20(constB50) | v21(constB50)))) | v19(constB50) | (~(v20(constB50) | v21(constB50)))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16238,plain,
% 6.76/4.99 (~(v20(constB50) | v21(constB50))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16237, 16236, 16216])).
% 6.76/4.99 tff(16239,plain,
% 6.76/4.99 ((v20(constB50) | v21(constB50)) | (~v21(constB50))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16240,plain,
% 6.76/4.99 (~v21(constB50)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16239, 16238])).
% 6.76/4.99 tff(16241,plain,
% 6.76/4.99 ((~((~v21(constB50)) <=> v6(constB50))) | v21(constB50) | v6(constB50)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16242,plain,
% 6.76/4.99 (v6(constB50)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16241, 16240, 16214])).
% 6.76/4.99 tff(16243,plain,
% 6.76/4.99 ((~(v6(constB50) <=> v13(constB50))) | (~v6(constB50)) | v13(constB50)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16244,plain,
% 6.76/4.99 (v13(constB50)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16243, 16242, 16212])).
% 6.76/4.99 tff(16245,plain,
% 6.76/4.99 ((~(v13(constB50) <=> v9(constB49))) | (~v13(constB50)) | v9(constB49)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16246,plain,
% 6.76/4.99 (v9(constB49)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16245, 16244, 16210])).
% 6.76/4.99 tff(16247,plain,
% 6.76/4.99 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB49)) <=> v1(constB49))),
% 6.76/4.99 inference(quant_inst,[status(thm)],[])).
% 6.76/4.99 tff(16248,plain,
% 6.76/4.99 ((~v39(constB49)) <=> v1(constB49)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16247, 102])).
% 6.76/4.99 tff(16249,plain,
% 6.76/4.99 ((~((~v39(constB49)) <=> v1(constB49))) | v39(constB49) | v1(constB49)),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16250,plain,
% 6.76/4.99 ((~((~v39(constB49)) <=> v1(constB49))) | v39(constB49)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16249, 2987])).
% 6.76/4.99 tff(16251,plain,
% 6.76/4.99 (v39(constB49)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16250, 16248])).
% 6.76/4.99 tff(16252,plain,
% 6.76/4.99 ((~((~v39(constB49)) | (~v9(constB49)))) | (~v39(constB49)) | (~v9(constB49))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16253,plain,
% 6.76/4.99 ((~((~v39(constB49)) | (~v9(constB49)))) | (~v9(constB49))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16252, 16251])).
% 6.76/4.99 tff(16254,plain,
% 6.76/4.99 (~((~v39(constB49)) | (~v9(constB49)))),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16253, 16246])).
% 6.76/4.99 tff(16255,plain,
% 6.76/4.99 ((~(v185(constB49) <=> (~((~v39(constB49)) | (~v9(constB49)))))) | v185(constB49) | ((~v39(constB49)) | (~v9(constB49)))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/4.99 tff(16256,plain,
% 6.76/4.99 (v185(constB49)),
% 6.76/4.99 inference(unit_resolution,[status(thm)],[16255, 16254, 16206])).
% 6.76/4.99 tff(16257,plain,
% 6.76/4.99 ((v185(constB49) | v26(constB49)) | (~v185(constB49))),
% 6.76/4.99 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16258,plain,
% 6.76/5.00 (v185(constB49) | v26(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16257, 16256])).
% 6.76/5.00 tff(16259,plain,
% 6.76/5.00 ((~(v195(constB49) <=> (v185(constB49) | v26(constB49)))) | v195(constB49) | (~(v185(constB49) | v26(constB49)))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16260,plain,
% 6.76/5.00 (v195(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16259, 16258, 16204])).
% 6.76/5.00 tff(16261,plain,
% 6.76/5.00 ((~((~v194(constB49)) <=> v195(constB49))) | (~v194(constB49)) | (~v195(constB49))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16262,plain,
% 6.76/5.00 (~v194(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16261, 16260, 16202])).
% 6.76/5.00 tff(16263,plain,
% 6.76/5.00 (((~v157(constB49)) | (~v194(constB49))) | v194(constB49)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16264,plain,
% 6.76/5.00 ((~v157(constB49)) | (~v194(constB49))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16263, 16262])).
% 6.76/5.00 tff(16265,plain,
% 6.76/5.00 ((~(v193(constB49) <=> (~((~v157(constB49)) | (~v194(constB49)))))) | (~v193(constB49)) | (~((~v157(constB49)) | (~v194(constB49))))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16266,plain,
% 6.76/5.00 (~v193(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16265, 16264, 16200])).
% 6.76/5.00 tff(16267,plain,
% 6.76/5.00 ((~(v193(constB49) | v196(constB49))) | v193(constB49) | v196(constB49)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16268,plain,
% 6.76/5.00 (~(v193(constB49) | v196(constB49))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16267, 16266, 16193])).
% 6.76/5.00 tff(16269,plain,
% 6.76/5.00 ((~(v190(constB49) <=> (v193(constB49) | v196(constB49)))) | (~v190(constB49)) | (v193(constB49) | v196(constB49))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16270,plain,
% 6.76/5.00 (~v190(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16269, 16268, 16159])).
% 6.76/5.00 tff(16271,plain,
% 6.76/5.00 ((~(v192(constB50) <=> v190(constB49))) | (~v192(constB50)) | v190(constB49)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16272,plain,
% 6.76/5.00 (~v192(constB50)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16271, 16270, 16157])).
% 6.76/5.00 tff(16273,plain,
% 6.76/5.00 ((~(v157(constB50) <=> v192(constB50))) | (~v157(constB50)) | v192(constB50)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16274,plain,
% 6.76/5.00 (~v157(constB50)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16273, 16272, 16153])).
% 6.76/5.00 tff(16275,plain,
% 6.76/5.00 (((~v157(constB50)) | (~v194(constB50))) | v157(constB50)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16276,plain,
% 6.76/5.00 ((~v157(constB50)) | (~v194(constB50))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16275, 16274])).
% 6.76/5.00 tff(16277,plain,
% 6.76/5.00 ((~(v193(constB50) <=> (~((~v157(constB50)) | (~v194(constB50)))))) | (~v193(constB50)) | (~((~v157(constB50)) | (~v194(constB50))))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16278,plain,
% 6.76/5.00 (~v193(constB50)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16277, 16276, 16151])).
% 6.76/5.00 tff(16279,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB50) <=> (~((~v159(constB50)) | (~v194(constB50)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB50) <=> (~((~v159(constB50)) | (~v194(constB50))))))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16280,plain,
% 6.76/5.00 ((v196(constB50) <=> (~((~v194(constB50)) | (~v159(constB50))))) <=> (v196(constB50) <=> (~((~v159(constB50)) | (~v194(constB50)))))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16281,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB50) <=> (~((~v194(constB50)) | (~v159(constB50)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB50) <=> (~((~v159(constB50)) | (~v194(constB50))))))),
% 6.76/5.00 inference(monotonicity,[status(thm)],[16280])).
% 6.76/5.00 tff(16282,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB50) <=> (~((~v194(constB50)) | (~v159(constB50)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB50) <=> (~((~v159(constB50)) | (~v194(constB50))))))),
% 6.76/5.00 inference(transitivity,[status(thm)],[16281, 16279])).
% 6.76/5.00 tff(16283,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB50) <=> (~((~v194(constB50)) | (~v159(constB50)))))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16284,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB50) <=> (~((~v159(constB50)) | (~v194(constB50)))))),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[16283, 16282])).
% 6.76/5.00 tff(16285,plain,
% 6.76/5.00 (v196(constB50) <=> (~((~v159(constB50)) | (~v194(constB50))))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16284, 15467])).
% 6.76/5.00 tff(16286,plain,
% 6.76/5.00 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB50) <=> v182(constB50))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16287,plain,
% 6.76/5.00 (v159(constB50) <=> v182(constB50)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16286, 15113])).
% 6.76/5.00 tff(16288,plain,
% 6.76/5.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB49, constB50)) | (v182(constB50) <=> v180(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB49, constB50)) | (v182(constB50) <=> v180(constB49)))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16289,plain,
% 6.76/5.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB49, constB50)) | (v182(constB50) <=> v180(constB49)))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16290,plain,
% 6.76/5.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB49, constB50)) | (v182(constB50) <=> v180(constB49))),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[16289, 16288])).
% 6.76/5.00 tff(16291,plain,
% 6.76/5.00 (v182(constB50) <=> v180(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16290, 2943, 15125])).
% 6.76/5.00 tff(16292,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB49) <=> (~((~v183(constB49)) | (~v184(constB49)))))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16293,plain,
% 6.76/5.00 (v180(constB49) <=> (~((~v183(constB49)) | (~v184(constB49))))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16292, 15139])).
% 6.76/5.00 tff(16294,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB49) <=> (~((~v185(constB49)) | (~v161(constB49)))))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16295,plain,
% 6.76/5.00 (v184(constB49) <=> (~((~v185(constB49)) | (~v161(constB49))))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16294, 15151])).
% 6.76/5.00 tff(16296,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB49) <=> v163(constB49))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16297,plain,
% 6.76/5.00 (v161(constB49) <=> v163(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16296, 15701])).
% 6.76/5.00 tff(16298,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB49) <=> (v145(constB49) | v167(constB49)))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16299,plain,
% 6.76/5.00 (v166(constB49) <=> (v145(constB49) | v167(constB49))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16298, 15713])).
% 6.76/5.00 tff(16300,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB49) <=> (v142(constB49) | v168(constB49)))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16301,plain,
% 6.76/5.00 (v167(constB49) <=> (v142(constB49) | v168(constB49))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16300, 15725])).
% 6.76/5.00 tff(16302,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB49) <=> (v143(constB49) | v144(constB49)))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16303,plain,
% 6.76/5.00 (v142(constB49) <=> (v143(constB49) | v144(constB49))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16302, 221])).
% 6.76/5.00 tff(16304,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB49) <=> (~((~v88(constB49, 1)) | v88(constB49, 2) | v88(constB49, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB49) <=> (~((~v88(constB49, 1)) | v88(constB49, 2) | v88(constB49, 0)))))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16305,plain,
% 6.76/5.00 ((v143(constB49) <=> (~(v88(constB49, 0) | v88(constB49, 2) | (~v88(constB49, 1))))) <=> (v143(constB49) <=> (~((~v88(constB49, 1)) | v88(constB49, 2) | v88(constB49, 0))))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16306,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB49) <=> (~(v88(constB49, 0) | v88(constB49, 2) | (~v88(constB49, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB49) <=> (~((~v88(constB49, 1)) | v88(constB49, 2) | v88(constB49, 0)))))),
% 6.76/5.00 inference(monotonicity,[status(thm)],[16305])).
% 6.76/5.00 tff(16307,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB49) <=> (~(v88(constB49, 0) | v88(constB49, 2) | (~v88(constB49, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB49) <=> (~((~v88(constB49, 1)) | v88(constB49, 2) | v88(constB49, 0)))))),
% 6.76/5.00 inference(transitivity,[status(thm)],[16306, 16304])).
% 6.76/5.00 tff(16308,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB49) <=> (~(v88(constB49, 0) | v88(constB49, 2) | (~v88(constB49, 1)))))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16309,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB49) <=> (~((~v88(constB49, 1)) | v88(constB49, 2) | v88(constB49, 0))))),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[16308, 16307])).
% 6.76/5.00 tff(16310,plain,
% 6.76/5.00 (v143(constB49) <=> (~((~v88(constB49, 1)) | v88(constB49, 2) | v88(constB49, 0)))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16309, 236])).
% 6.76/5.00 tff(16311,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB49, 1)) <=> v90(constB49, 1)) | ((~v88(constB49, 2)) <=> v90(constB49, 2)) | ((~v88(constB49, 0)) <=> v90(constB49, 0))))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16312,plain,
% 6.76/5.00 (~(((~v88(constB49, 1)) <=> v90(constB49, 1)) | ((~v88(constB49, 2)) <=> v90(constB49, 2)) | ((~v88(constB49, 0)) <=> v90(constB49, 0)))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16311, 256])).
% 6.76/5.00 tff(16313,plain,
% 6.76/5.00 ((((~v88(constB49, 1)) <=> v90(constB49, 1)) | ((~v88(constB49, 2)) <=> v90(constB49, 2)) | ((~v88(constB49, 0)) <=> v90(constB49, 0))) | (~((~v88(constB49, 2)) <=> v90(constB49, 2)))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16314,plain,
% 6.76/5.00 (~((~v88(constB49, 2)) <=> v90(constB49, 2))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16313, 16312])).
% 6.76/5.00 tff(16315,plain,
% 6.76/5.00 (((~v88(constB49, 2)) <=> v90(constB49, 2)) | (~v88(constB49, 2)) | v90(constB49, 2)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16316,plain,
% 6.76/5.00 (~v88(constB49, 2)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16315, 8591, 16314])).
% 6.76/5.00 tff(16317,plain,
% 6.76/5.00 ((((~v88(constB49, 1)) <=> v90(constB49, 1)) | ((~v88(constB49, 2)) <=> v90(constB49, 2)) | ((~v88(constB49, 0)) <=> v90(constB49, 0))) | (~((~v88(constB49, 0)) <=> v90(constB49, 0)))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16318,plain,
% 6.76/5.00 (~((~v88(constB49, 0)) <=> v90(constB49, 0))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16317, 16312])).
% 6.76/5.00 tff(16319,plain,
% 6.76/5.00 (((~v88(constB49, 0)) <=> v90(constB49, 0)) | (~v88(constB49, 0)) | v90(constB49, 0)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16320,plain,
% 6.76/5.00 (~v88(constB49, 0)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16319, 8609, 16318])).
% 6.76/5.00 tff(16321,plain,
% 6.76/5.00 ((((~v88(constB49, 1)) <=> v90(constB49, 1)) | ((~v88(constB49, 2)) <=> v90(constB49, 2)) | ((~v88(constB49, 0)) <=> v90(constB49, 0))) | (~((~v88(constB49, 1)) <=> v90(constB49, 1)))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16322,plain,
% 6.76/5.00 (~((~v88(constB49, 1)) <=> v90(constB49, 1))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16321, 16312])).
% 6.76/5.00 tff(16323,plain,
% 6.76/5.00 (((~v88(constB49, 1)) <=> v90(constB49, 1)) | v88(constB49, 1) | (~v90(constB49, 1))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16324,plain,
% 6.76/5.00 (v88(constB49, 1)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16323, 8627, 16322])).
% 6.76/5.00 tff(16325,plain,
% 6.76/5.00 ((~((~v88(constB49, 1)) | v88(constB49, 2) | v88(constB49, 0))) | (~v88(constB49, 1)) | v88(constB49, 2) | v88(constB49, 0)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16326,plain,
% 6.76/5.00 (~((~v88(constB49, 1)) | v88(constB49, 2) | v88(constB49, 0))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16325, 16324, 16320, 16316])).
% 6.76/5.00 tff(16327,plain,
% 6.76/5.00 ((~(v143(constB49) <=> (~((~v88(constB49, 1)) | v88(constB49, 2) | v88(constB49, 0))))) | v143(constB49) | ((~v88(constB49, 1)) | v88(constB49, 2) | v88(constB49, 0))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16328,plain,
% 6.76/5.00 (v143(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16327, 16326, 16310])).
% 6.76/5.00 tff(16329,plain,
% 6.76/5.00 ((v143(constB49) | v144(constB49)) | (~v143(constB49))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16330,plain,
% 6.76/5.00 (v143(constB49) | v144(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16329, 16328])).
% 6.76/5.00 tff(16331,plain,
% 6.76/5.00 ((~(v142(constB49) <=> (v143(constB49) | v144(constB49)))) | v142(constB49) | (~(v143(constB49) | v144(constB49)))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16332,plain,
% 6.76/5.00 (v142(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16331, 16330, 16303])).
% 6.76/5.00 tff(16333,plain,
% 6.76/5.00 ((v142(constB49) | v168(constB49)) | (~v142(constB49))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16334,plain,
% 6.76/5.00 (v142(constB49) | v168(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16333, 16332])).
% 6.76/5.00 tff(16335,plain,
% 6.76/5.00 ((~(v167(constB49) <=> (v142(constB49) | v168(constB49)))) | v167(constB49) | (~(v142(constB49) | v168(constB49)))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16336,plain,
% 6.76/5.00 ((~(v167(constB49) <=> (v142(constB49) | v168(constB49)))) | v167(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16335, 16334])).
% 6.76/5.00 tff(16337,plain,
% 6.76/5.00 (v167(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16336, 16301])).
% 6.76/5.00 tff(16338,plain,
% 6.76/5.00 ((v145(constB49) | v167(constB49)) | (~v167(constB49))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16339,plain,
% 6.76/5.00 (v145(constB49) | v167(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16338, 16337])).
% 6.76/5.00 tff(16340,plain,
% 6.76/5.00 ((~(v166(constB49) <=> (v145(constB49) | v167(constB49)))) | v166(constB49) | (~(v145(constB49) | v167(constB49)))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16341,plain,
% 6.76/5.00 (v166(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16340, 16339, 16299])).
% 6.76/5.00 tff(16342,plain,
% 6.76/5.00 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB49)) | (v163(constB49) <=> v170(constB49)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB49)) | (v163(constB49) <=> v170(constB49)))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16343,plain,
% 6.76/5.00 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB49)) | (v163(constB49) <=> v170(constB49)))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16344,plain,
% 6.76/5.00 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB49)) | (v163(constB49) <=> v170(constB49))),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[16343, 16342])).
% 6.76/5.00 tff(16345,plain,
% 6.76/5.00 ((~v166(constB49)) | (v163(constB49) <=> v170(constB49))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16344, 15777])).
% 6.76/5.00 tff(16346,plain,
% 6.76/5.00 (v163(constB49) <=> v170(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16345, 16341])).
% 6.76/5.00 tff(16347,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB49) <=> (~(v88(constB49, 0) | v88(constB49, 1) | v88(constB49, 2))))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16348,plain,
% 6.76/5.00 (v139(constB49) <=> (~(v88(constB49, 0) | v88(constB49, 1) | v88(constB49, 2)))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16347, 15795])).
% 6.76/5.00 tff(16349,plain,
% 6.76/5.00 ((v88(constB49, 0) | v88(constB49, 1) | v88(constB49, 2)) | (~v88(constB49, 1))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16350,plain,
% 6.76/5.00 (v88(constB49, 0) | v88(constB49, 1) | v88(constB49, 2)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16349, 16324])).
% 6.76/5.00 tff(16351,plain,
% 6.76/5.00 ((~(v139(constB49) <=> (~(v88(constB49, 0) | v88(constB49, 1) | v88(constB49, 2))))) | (~v139(constB49)) | (~(v88(constB49, 0) | v88(constB49, 1) | v88(constB49, 2)))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16352,plain,
% 6.76/5.00 (~v139(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16351, 16350, 16348])).
% 6.76/5.00 tff(16353,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB49) <=> (~(v88(constB49, 1) | v88(constB49, 2) | (~v88(constB49, 0)))))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16354,plain,
% 6.76/5.00 (v140(constB49) <=> (~(v88(constB49, 1) | v88(constB49, 2) | (~v88(constB49, 0))))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16353, 15814])).
% 6.76/5.00 tff(16355,plain,
% 6.76/5.00 ((v88(constB49, 1) | v88(constB49, 2) | (~v88(constB49, 0))) | (~v88(constB49, 1))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16356,plain,
% 6.76/5.00 (v88(constB49, 1) | v88(constB49, 2) | (~v88(constB49, 0))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16355, 16324])).
% 6.76/5.00 tff(16357,plain,
% 6.76/5.00 ((~(v140(constB49) <=> (~(v88(constB49, 1) | v88(constB49, 2) | (~v88(constB49, 0)))))) | (~v140(constB49)) | (~(v88(constB49, 1) | v88(constB49, 2) | (~v88(constB49, 0))))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16358,plain,
% 6.76/5.00 (~v140(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16357, 16356, 16354])).
% 6.76/5.00 tff(16359,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB49) | v139(constB49) | (~v170(constB49)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB49) | v139(constB49) | (~v170(constB49)))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16360,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB49) | v139(constB49) | (~v170(constB49)))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16361,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB49) | v139(constB49) | (~v170(constB49))),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[16360, 16359])).
% 6.76/5.00 tff(16362,plain,
% 6.76/5.00 (v140(constB49) | v139(constB49) | (~v170(constB49))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16361, 15833])).
% 6.76/5.00 tff(16363,plain,
% 6.76/5.00 (~v170(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16362, 16358, 16352])).
% 6.76/5.00 tff(16364,plain,
% 6.76/5.00 ((~(v163(constB49) <=> v170(constB49))) | (~v163(constB49)) | v170(constB49)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16365,plain,
% 6.76/5.00 ((~(v163(constB49) <=> v170(constB49))) | (~v163(constB49))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16364, 16363])).
% 6.76/5.00 tff(16366,plain,
% 6.76/5.00 (~v163(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16365, 16346])).
% 6.76/5.00 tff(16367,plain,
% 6.76/5.00 ((~(v161(constB49) <=> v163(constB49))) | (~v161(constB49)) | v163(constB49)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16368,plain,
% 6.76/5.00 ((~(v161(constB49) <=> v163(constB49))) | (~v161(constB49))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16367, 16366])).
% 6.76/5.00 tff(16369,plain,
% 6.76/5.00 (~v161(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16368, 16297])).
% 6.76/5.00 tff(16370,plain,
% 6.76/5.00 (((~v185(constB49)) | (~v161(constB49))) | v161(constB49)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16371,plain,
% 6.76/5.00 ((~v185(constB49)) | (~v161(constB49))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16370, 16369])).
% 6.76/5.00 tff(16372,plain,
% 6.76/5.00 ((~(v184(constB49) <=> (~((~v185(constB49)) | (~v161(constB49)))))) | (~v184(constB49)) | (~((~v185(constB49)) | (~v161(constB49))))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16373,plain,
% 6.76/5.00 (~v184(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16372, 16371, 16295])).
% 6.76/5.00 tff(16374,plain,
% 6.76/5.00 (((~v183(constB49)) | (~v184(constB49))) | v184(constB49)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16375,plain,
% 6.76/5.00 ((~v183(constB49)) | (~v184(constB49))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16374, 16373])).
% 6.76/5.00 tff(16376,plain,
% 6.76/5.00 ((~(v180(constB49) <=> (~((~v183(constB49)) | (~v184(constB49)))))) | (~v180(constB49)) | (~((~v183(constB49)) | (~v184(constB49))))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16377,plain,
% 6.76/5.00 (~v180(constB49)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16376, 16375, 16293])).
% 6.76/5.00 tff(16378,plain,
% 6.76/5.00 ((~(v182(constB50) <=> v180(constB49))) | (~v182(constB50)) | v180(constB49)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16379,plain,
% 6.76/5.00 (~v182(constB50)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16378, 16377, 16291])).
% 6.76/5.00 tff(16380,plain,
% 6.76/5.00 ((~(v159(constB50) <=> v182(constB50))) | (~v159(constB50)) | v182(constB50)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16381,plain,
% 6.76/5.00 (~v159(constB50)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16380, 16379, 16287])).
% 6.76/5.00 tff(16382,plain,
% 6.76/5.00 (((~v159(constB50)) | (~v194(constB50))) | v159(constB50)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16383,plain,
% 6.76/5.00 ((~v159(constB50)) | (~v194(constB50))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16382, 16381])).
% 6.76/5.00 tff(16384,plain,
% 6.76/5.00 ((~(v196(constB50) <=> (~((~v159(constB50)) | (~v194(constB50)))))) | (~v196(constB50)) | (~((~v159(constB50)) | (~v194(constB50))))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16385,plain,
% 6.76/5.00 (~v196(constB50)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16384, 16383, 16285])).
% 6.76/5.00 tff(16386,plain,
% 6.76/5.00 ((~(v193(constB50) | v196(constB50))) | v193(constB50) | v196(constB50)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16387,plain,
% 6.76/5.00 (~(v193(constB50) | v196(constB50))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16386, 16385, 16278])).
% 6.76/5.00 tff(16388,plain,
% 6.76/5.00 ((~(v190(constB50) <=> (v193(constB50) | v196(constB50)))) | (~v190(constB50)) | (v193(constB50) | v196(constB50))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16389,plain,
% 6.76/5.00 (~v190(constB50)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16388, 16387, 16144])).
% 6.76/5.00 tff(16390,plain,
% 6.76/5.00 ((~(v192(constB51) <=> v190(constB50))) | (~v192(constB51)) | v190(constB50)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16391,plain,
% 6.76/5.00 (~v192(constB51)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16390, 16389, 16142])).
% 6.76/5.00 tff(16392,plain,
% 6.76/5.00 ((~(v157(constB51) <=> v192(constB51))) | (~v157(constB51)) | v192(constB51)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16393,plain,
% 6.76/5.00 (~v157(constB51)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16392, 16391, 16138])).
% 6.76/5.00 tff(16394,plain,
% 6.76/5.00 (((~v157(constB51)) | (~v202(constB51))) | v157(constB51)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16395,plain,
% 6.76/5.00 ((~v157(constB51)) | (~v202(constB51))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16394, 16393])).
% 6.76/5.00 tff(16396,plain,
% 6.76/5.00 ((~(v201(constB51) <=> (~((~v157(constB51)) | (~v202(constB51)))))) | (~v201(constB51)) | (~((~v157(constB51)) | (~v202(constB51))))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16397,plain,
% 6.76/5.00 (~v201(constB51)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16396, 16395, 16136])).
% 6.76/5.00 tff(16398,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB51) <=> (~((~v159(constB51)) | (~v202(constB51)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB51) <=> (~((~v159(constB51)) | (~v202(constB51))))))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16399,plain,
% 6.76/5.00 ((v205(constB51) <=> (~((~v202(constB51)) | (~v159(constB51))))) <=> (v205(constB51) <=> (~((~v159(constB51)) | (~v202(constB51)))))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16400,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB51) <=> (~((~v202(constB51)) | (~v159(constB51)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB51) <=> (~((~v159(constB51)) | (~v202(constB51))))))),
% 6.76/5.00 inference(monotonicity,[status(thm)],[16399])).
% 6.76/5.00 tff(16401,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB51) <=> (~((~v202(constB51)) | (~v159(constB51)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB51) <=> (~((~v159(constB51)) | (~v202(constB51))))))),
% 6.76/5.00 inference(transitivity,[status(thm)],[16400, 16398])).
% 6.76/5.00 tff(16402,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB51) <=> (~((~v202(constB51)) | (~v159(constB51)))))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16403,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB51) <=> (~((~v159(constB51)) | (~v202(constB51)))))),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[16402, 16401])).
% 6.76/5.00 tff(16404,plain,
% 6.76/5.00 (v205(constB51) <=> (~((~v159(constB51)) | (~v202(constB51))))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16403, 138])).
% 6.76/5.00 tff(16405,plain,
% 6.76/5.00 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB51) <=> v182(constB51))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16406,plain,
% 6.76/5.00 (v159(constB51) <=> v182(constB51)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16405, 15113])).
% 6.76/5.00 tff(16407,plain,
% 6.76/5.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB50, constB51)) | (v182(constB51) <=> v180(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB50, constB51)) | (v182(constB51) <=> v180(constB50)))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16408,plain,
% 6.76/5.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB50, constB51)) | (v182(constB51) <=> v180(constB50)))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16409,plain,
% 6.76/5.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB50, constB51)) | (v182(constB51) <=> v180(constB50))),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[16408, 16407])).
% 6.76/5.00 tff(16410,plain,
% 6.76/5.00 (v182(constB51) <=> v180(constB50)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16409, 2907, 15125])).
% 6.76/5.00 tff(16411,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB50) <=> (~((~v183(constB50)) | (~v184(constB50)))))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16412,plain,
% 6.76/5.00 (v180(constB50) <=> (~((~v183(constB50)) | (~v184(constB50))))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16411, 15139])).
% 6.76/5.00 tff(16413,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB50) <=> (~((~v185(constB50)) | (~v161(constB50)))))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16414,plain,
% 6.76/5.00 (v184(constB50) <=> (~((~v185(constB50)) | (~v161(constB50))))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16413, 15151])).
% 6.76/5.00 tff(16415,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16416,plain,
% 6.76/5.00 (v185(constB50) <=> (~((~v39(constB50)) | (~v9(constB50))))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16415, 93])).
% 6.76/5.00 tff(16417,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB50)) <=> v1(constB50))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16418,plain,
% 6.76/5.00 ((~v39(constB50)) <=> v1(constB50)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16417, 102])).
% 6.76/5.00 tff(16419,plain,
% 6.76/5.00 ((~((~v39(constB50)) <=> v1(constB50))) | (~v39(constB50)) | (~v1(constB50))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16420,plain,
% 6.76/5.00 ((~((~v39(constB50)) <=> v1(constB50))) | (~v39(constB50))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16419, 8669])).
% 6.76/5.00 tff(16421,plain,
% 6.76/5.00 (~v39(constB50)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16420, 16418])).
% 6.76/5.00 tff(16422,plain,
% 6.76/5.00 (((~v39(constB50)) | (~v9(constB50))) | v39(constB50)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16423,plain,
% 6.76/5.00 ((~v39(constB50)) | (~v9(constB50))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16422, 16421])).
% 6.76/5.00 tff(16424,plain,
% 6.76/5.00 ((~(v185(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))) | (~v185(constB50)) | (~((~v39(constB50)) | (~v9(constB50))))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16425,plain,
% 6.76/5.00 ((~(v185(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))) | (~v185(constB50))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16424, 16423])).
% 6.76/5.00 tff(16426,plain,
% 6.76/5.00 (~v185(constB50)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16425, 16416])).
% 6.76/5.00 tff(16427,plain,
% 6.76/5.00 (((~v185(constB50)) | (~v161(constB50))) | v185(constB50)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16428,plain,
% 6.76/5.00 ((~v185(constB50)) | (~v161(constB50))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16427, 16426])).
% 6.76/5.00 tff(16429,plain,
% 6.76/5.00 ((~(v184(constB50) <=> (~((~v185(constB50)) | (~v161(constB50)))))) | (~v184(constB50)) | (~((~v185(constB50)) | (~v161(constB50))))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16430,plain,
% 6.76/5.00 ((~(v184(constB50) <=> (~((~v185(constB50)) | (~v161(constB50)))))) | (~v184(constB50))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16429, 16428])).
% 6.76/5.00 tff(16431,plain,
% 6.76/5.00 (~v184(constB50)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16430, 16414])).
% 6.76/5.00 tff(16432,plain,
% 6.76/5.00 (((~v183(constB50)) | (~v184(constB50))) | v184(constB50)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16433,plain,
% 6.76/5.00 ((~v183(constB50)) | (~v184(constB50))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16432, 16431])).
% 6.76/5.00 tff(16434,plain,
% 6.76/5.00 ((~(v180(constB50) <=> (~((~v183(constB50)) | (~v184(constB50)))))) | (~v180(constB50)) | (~((~v183(constB50)) | (~v184(constB50))))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16435,plain,
% 6.76/5.00 (~v180(constB50)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16434, 16433, 16412])).
% 6.76/5.00 tff(16436,plain,
% 6.76/5.00 ((~(v182(constB51) <=> v180(constB50))) | (~v182(constB51)) | v180(constB50)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16437,plain,
% 6.76/5.00 (~v182(constB51)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16436, 16435, 16410])).
% 6.76/5.00 tff(16438,plain,
% 6.76/5.00 ((~(v159(constB51) <=> v182(constB51))) | (~v159(constB51)) | v182(constB51)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16439,plain,
% 6.76/5.00 (~v159(constB51)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16438, 16437, 16406])).
% 6.76/5.00 tff(16440,plain,
% 6.76/5.00 (((~v159(constB51)) | (~v202(constB51))) | v159(constB51)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16441,plain,
% 6.76/5.00 ((~v159(constB51)) | (~v202(constB51))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16440, 16439])).
% 6.76/5.00 tff(16442,plain,
% 6.76/5.00 ((~(v205(constB51) <=> (~((~v159(constB51)) | (~v202(constB51)))))) | (~v205(constB51)) | (~((~v159(constB51)) | (~v202(constB51))))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16443,plain,
% 6.76/5.00 (~v205(constB51)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16442, 16441, 16404])).
% 6.76/5.00 tff(16444,plain,
% 6.76/5.00 ((~(v201(constB51) | v205(constB51))) | v201(constB51) | v205(constB51)),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16445,plain,
% 6.76/5.00 ((~(v201(constB51) | v205(constB51))) | v201(constB51)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16444, 16443])).
% 6.76/5.00 tff(16446,plain,
% 6.76/5.00 (~(v201(constB51) | v205(constB51))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16445, 16397])).
% 6.76/5.00 tff(16447,plain,
% 6.76/5.00 ((~(v200(constB51) <=> (v201(constB51) | v205(constB51)))) | (~v200(constB51)) | (v201(constB51) | v205(constB51))),
% 6.76/5.00 inference(tautology,[status(thm)],[])).
% 6.76/5.00 tff(16448,plain,
% 6.76/5.00 (~v200(constB51)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16447, 16446, 16129])).
% 6.76/5.00 tff(16449,plain,
% 6.76/5.00 ($false),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16448, 16127])).
% 6.76/5.00 tff(16450,plain,(~(constB51 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 6.76/5.00 tff(16451,assumption,(constB191 = VarCurr!0), introduced(assumption)).
% 6.76/5.00 tff(16452,plain,
% 6.76/5.00 (v200(constB191) <=> v200(VarCurr!0)),
% 6.76/5.00 inference(monotonicity,[status(thm)],[16451])).
% 6.76/5.00 tff(16453,plain,
% 6.76/5.00 (v200(VarCurr!0) <=> v200(constB191)),
% 6.76/5.00 inference(symmetry,[status(thm)],[16452])).
% 6.76/5.00 tff(16454,plain,
% 6.76/5.00 (v200(constB191)),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[27, 16453])).
% 6.76/5.00 tff(16455,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB191) <=> (v201(constB191) | v205(constB191)))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16456,plain,
% 6.76/5.00 (v200(constB191) <=> (v201(constB191) | v205(constB191))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16455, 35])).
% 6.76/5.00 tff(16457,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB191) <=> (~((~v157(constB191)) | (~v202(constB191)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB191) <=> (~((~v157(constB191)) | (~v202(constB191))))))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16458,plain,
% 6.76/5.00 ((v201(constB191) <=> (~((~v202(constB191)) | (~v157(constB191))))) <=> (v201(constB191) <=> (~((~v157(constB191)) | (~v202(constB191)))))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16459,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB191) <=> (~((~v202(constB191)) | (~v157(constB191)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB191) <=> (~((~v157(constB191)) | (~v202(constB191))))))),
% 6.76/5.00 inference(monotonicity,[status(thm)],[16458])).
% 6.76/5.00 tff(16460,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB191) <=> (~((~v202(constB191)) | (~v157(constB191)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB191) <=> (~((~v157(constB191)) | (~v202(constB191))))))),
% 6.76/5.00 inference(transitivity,[status(thm)],[16459, 16457])).
% 6.76/5.00 tff(16461,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB191) <=> (~((~v202(constB191)) | (~v157(constB191)))))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16462,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB191) <=> (~((~v157(constB191)) | (~v202(constB191)))))),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[16461, 16460])).
% 6.76/5.00 tff(16463,plain,
% 6.76/5.00 (v201(constB191) <=> (~((~v157(constB191)) | (~v202(constB191))))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16462, 47])).
% 6.76/5.00 tff(16464,plain,
% 6.76/5.00 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB191) <=> v192(constB191))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16465,plain,
% 6.76/5.00 (v157(constB191) <=> v192(constB191)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16464, 15407])).
% 6.76/5.00 tff(16466,plain,
% 6.76/5.00 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16467,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_190')).
% 6.76/5.00 tff(16468,plain,
% 6.76/5.00 (nextState(constB190, constB191)),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[16467, 16466])).
% 6.76/5.00 tff(16469,plain,
% 6.76/5.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB190, constB191)) | (v192(constB191) <=> v190(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB190, constB191)) | (v192(constB191) <=> v190(constB190)))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16470,plain,
% 6.76/5.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB190, constB191)) | (v192(constB191) <=> v190(constB190)))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16471,plain,
% 6.76/5.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB190, constB191)) | (v192(constB191) <=> v190(constB190))),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[16470, 16469])).
% 6.76/5.00 tff(16472,plain,
% 6.76/5.00 (v192(constB191) <=> v190(constB190)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16471, 16468, 15419])).
% 6.76/5.00 tff(16473,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB190) <=> (v193(constB190) | v196(constB190)))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16474,plain,
% 6.76/5.00 (v190(constB190) <=> (v193(constB190) | v196(constB190))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16473, 15430])).
% 6.76/5.00 tff(16475,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB190) <=> (~((~v157(constB190)) | (~v194(constB190)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB190) <=> (~((~v157(constB190)) | (~v194(constB190))))))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16476,plain,
% 6.76/5.00 ((v193(constB190) <=> (~((~v194(constB190)) | (~v157(constB190))))) <=> (v193(constB190) <=> (~((~v157(constB190)) | (~v194(constB190)))))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16477,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB190) <=> (~((~v194(constB190)) | (~v157(constB190)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB190) <=> (~((~v157(constB190)) | (~v194(constB190))))))),
% 6.76/5.00 inference(monotonicity,[status(thm)],[16476])).
% 6.76/5.00 tff(16478,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB190) <=> (~((~v194(constB190)) | (~v157(constB190)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB190) <=> (~((~v157(constB190)) | (~v194(constB190))))))),
% 6.76/5.00 inference(transitivity,[status(thm)],[16477, 16475])).
% 6.76/5.00 tff(16479,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB190) <=> (~((~v194(constB190)) | (~v157(constB190)))))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16480,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB190) <=> (~((~v157(constB190)) | (~v194(constB190)))))),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[16479, 16478])).
% 6.76/5.00 tff(16481,plain,
% 6.76/5.00 (v193(constB190) <=> (~((~v157(constB190)) | (~v194(constB190))))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16480, 15442])).
% 6.76/5.00 tff(16482,plain,
% 6.76/5.00 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB190) <=> v192(constB190))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16483,plain,
% 6.76/5.00 (v157(constB190) <=> v192(constB190)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16482, 15407])).
% 6.76/5.00 tff(16484,plain,
% 6.76/5.00 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16485,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_189')).
% 6.76/5.00 tff(16486,plain,
% 6.76/5.00 (nextState(constB189, constB190)),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[16485, 16484])).
% 6.76/5.00 tff(16487,plain,
% 6.76/5.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB189, constB190)) | (v192(constB190) <=> v190(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB189, constB190)) | (v192(constB190) <=> v190(constB189)))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16488,plain,
% 6.76/5.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB189, constB190)) | (v192(constB190) <=> v190(constB189)))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16489,plain,
% 6.76/5.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB189, constB190)) | (v192(constB190) <=> v190(constB189))),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[16488, 16487])).
% 6.76/5.00 tff(16490,plain,
% 6.76/5.00 (v192(constB190) <=> v190(constB189)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16489, 16486, 15419])).
% 6.76/5.00 tff(16491,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB189) <=> (v193(constB189) | v196(constB189)))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16492,plain,
% 6.76/5.00 (v190(constB189) <=> (v193(constB189) | v196(constB189))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16491, 15430])).
% 6.76/5.00 tff(16493,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB189) <=> (~((~v159(constB189)) | (~v194(constB189)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB189) <=> (~((~v159(constB189)) | (~v194(constB189))))))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16494,plain,
% 6.76/5.00 ((v196(constB189) <=> (~((~v194(constB189)) | (~v159(constB189))))) <=> (v196(constB189) <=> (~((~v159(constB189)) | (~v194(constB189)))))),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16495,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB189) <=> (~((~v194(constB189)) | (~v159(constB189)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB189) <=> (~((~v159(constB189)) | (~v194(constB189))))))),
% 6.76/5.00 inference(monotonicity,[status(thm)],[16494])).
% 6.76/5.00 tff(16496,plain,
% 6.76/5.00 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB189) <=> (~((~v194(constB189)) | (~v159(constB189)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB189) <=> (~((~v159(constB189)) | (~v194(constB189))))))),
% 6.76/5.00 inference(transitivity,[status(thm)],[16495, 16493])).
% 6.76/5.00 tff(16497,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB189) <=> (~((~v194(constB189)) | (~v159(constB189)))))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16498,plain,
% 6.76/5.00 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB189) <=> (~((~v159(constB189)) | (~v194(constB189)))))),
% 6.76/5.00 inference(modus_ponens,[status(thm)],[16497, 16496])).
% 6.76/5.00 tff(16499,plain,
% 6.76/5.00 (v196(constB189) <=> (~((~v159(constB189)) | (~v194(constB189))))),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16498, 15467])).
% 6.76/5.00 tff(16500,plain,
% 6.76/5.00 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB189) <=> v182(constB189))),
% 6.76/5.00 inference(quant_inst,[status(thm)],[])).
% 6.76/5.00 tff(16501,plain,
% 6.76/5.00 (v159(constB189) <=> v182(constB189)),
% 6.76/5.00 inference(unit_resolution,[status(thm)],[16500, 15113])).
% 6.76/5.00 tff(16502,plain,
% 6.76/5.00 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 6.76/5.00 inference(rewrite,[status(thm)],[])).
% 6.76/5.00 tff(16503,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_188')).
% 6.76/5.01 tff(16504,plain,
% 6.76/5.01 (nextState(constB188, constB189)),
% 6.76/5.01 inference(modus_ponens,[status(thm)],[16503, 16502])).
% 6.76/5.01 tff(16505,plain,
% 6.76/5.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB188, constB189)) | (v182(constB189) <=> v180(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB188, constB189)) | (v182(constB189) <=> v180(constB188)))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16506,plain,
% 6.76/5.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB188, constB189)) | (v182(constB189) <=> v180(constB188)))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16507,plain,
% 6.76/5.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB188, constB189)) | (v182(constB189) <=> v180(constB188))),
% 6.76/5.01 inference(modus_ponens,[status(thm)],[16506, 16505])).
% 6.76/5.01 tff(16508,plain,
% 6.76/5.01 (v182(constB189) <=> v180(constB188)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16507, 16504, 15125])).
% 6.76/5.01 tff(16509,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB188) <=> (~((~v183(constB188)) | (~v184(constB188)))))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16510,plain,
% 6.76/5.01 (v180(constB188) <=> (~((~v183(constB188)) | (~v184(constB188))))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16509, 15139])).
% 6.76/5.01 tff(16511,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB188) <=> (~((~v185(constB188)) | (~v161(constB188)))))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16512,plain,
% 6.76/5.01 (v184(constB188) <=> (~((~v185(constB188)) | (~v161(constB188))))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16511, 15151])).
% 6.76/5.01 tff(16513,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16514,plain,
% 6.76/5.01 (v185(constB188) <=> (~((~v39(constB188)) | (~v9(constB188))))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16513, 93])).
% 6.76/5.01 tff(16515,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB188)) <=> v1(constB188))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16516,plain,
% 6.76/5.01 ((~v39(constB188)) <=> v1(constB188)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16515, 102])).
% 6.76/5.01 tff(16517,plain,
% 6.76/5.01 (v1(constB188) <=> v1(constB188)),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16518,axiom,(v1(constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_188')).
% 6.76/5.01 tff(16519,plain,
% 6.76/5.01 (v1(constB188)),
% 6.76/5.01 inference(modus_ponens,[status(thm)],[16518, 16517])).
% 6.76/5.01 tff(16520,plain,
% 6.76/5.01 ((~((~v39(constB188)) <=> v1(constB188))) | (~v39(constB188)) | (~v1(constB188))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16521,plain,
% 6.76/5.01 ((~((~v39(constB188)) <=> v1(constB188))) | (~v39(constB188))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16520, 16519])).
% 6.76/5.01 tff(16522,plain,
% 6.76/5.01 (~v39(constB188)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16521, 16516])).
% 6.76/5.01 tff(16523,plain,
% 6.76/5.01 (((~v39(constB188)) | (~v9(constB188))) | v39(constB188)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16524,plain,
% 6.76/5.01 ((~v39(constB188)) | (~v9(constB188))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16523, 16522])).
% 6.76/5.01 tff(16525,plain,
% 6.76/5.01 ((~(v185(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))) | (~v185(constB188)) | (~((~v39(constB188)) | (~v9(constB188))))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16526,plain,
% 6.76/5.01 ((~(v185(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))) | (~v185(constB188))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16525, 16524])).
% 6.76/5.01 tff(16527,plain,
% 6.76/5.01 (~v185(constB188)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16526, 16514])).
% 6.76/5.01 tff(16528,plain,
% 6.76/5.01 (((~v185(constB188)) | (~v161(constB188))) | v185(constB188)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16529,plain,
% 6.76/5.01 ((~v185(constB188)) | (~v161(constB188))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16528, 16527])).
% 6.76/5.01 tff(16530,plain,
% 6.76/5.01 ((~(v184(constB188) <=> (~((~v185(constB188)) | (~v161(constB188)))))) | (~v184(constB188)) | (~((~v185(constB188)) | (~v161(constB188))))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16531,plain,
% 6.76/5.01 ((~(v184(constB188) <=> (~((~v185(constB188)) | (~v161(constB188)))))) | (~v184(constB188))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16530, 16529])).
% 6.76/5.01 tff(16532,plain,
% 6.76/5.01 (~v184(constB188)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16531, 16512])).
% 6.76/5.01 tff(16533,plain,
% 6.76/5.01 (((~v183(constB188)) | (~v184(constB188))) | v184(constB188)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16534,plain,
% 6.76/5.01 ((~v183(constB188)) | (~v184(constB188))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16533, 16532])).
% 6.76/5.01 tff(16535,plain,
% 6.76/5.01 ((~(v180(constB188) <=> (~((~v183(constB188)) | (~v184(constB188)))))) | (~v180(constB188)) | (~((~v183(constB188)) | (~v184(constB188))))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16536,plain,
% 6.76/5.01 (~v180(constB188)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16535, 16534, 16510])).
% 6.76/5.01 tff(16537,plain,
% 6.76/5.01 ((~(v182(constB189) <=> v180(constB188))) | (~v182(constB189)) | v180(constB188)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16538,plain,
% 6.76/5.01 (~v182(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16537, 16536, 16508])).
% 6.76/5.01 tff(16539,plain,
% 6.76/5.01 ((~(v159(constB189) <=> v182(constB189))) | (~v159(constB189)) | v182(constB189)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16540,plain,
% 6.76/5.01 (~v159(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16539, 16538, 16501])).
% 6.76/5.01 tff(16541,plain,
% 6.76/5.01 (((~v159(constB189)) | (~v194(constB189))) | v159(constB189)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16542,plain,
% 6.76/5.01 ((~v159(constB189)) | (~v194(constB189))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16541, 16540])).
% 6.76/5.01 tff(16543,plain,
% 6.76/5.01 ((~(v196(constB189) <=> (~((~v159(constB189)) | (~v194(constB189)))))) | (~v196(constB189)) | (~((~v159(constB189)) | (~v194(constB189))))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16544,plain,
% 6.76/5.01 (~v196(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16543, 16542, 16499])).
% 6.76/5.01 tff(16545,plain,
% 6.76/5.01 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB189) <=> (~((~v157(constB189)) | (~v194(constB189)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB189) <=> (~((~v157(constB189)) | (~v194(constB189))))))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16546,plain,
% 6.76/5.01 ((v193(constB189) <=> (~((~v194(constB189)) | (~v157(constB189))))) <=> (v193(constB189) <=> (~((~v157(constB189)) | (~v194(constB189)))))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16547,plain,
% 6.76/5.01 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB189) <=> (~((~v194(constB189)) | (~v157(constB189)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB189) <=> (~((~v157(constB189)) | (~v194(constB189))))))),
% 6.76/5.01 inference(monotonicity,[status(thm)],[16546])).
% 6.76/5.01 tff(16548,plain,
% 6.76/5.01 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB189) <=> (~((~v194(constB189)) | (~v157(constB189)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB189) <=> (~((~v157(constB189)) | (~v194(constB189))))))),
% 6.76/5.01 inference(transitivity,[status(thm)],[16547, 16545])).
% 6.76/5.01 tff(16549,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB189) <=> (~((~v194(constB189)) | (~v157(constB189)))))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16550,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB189) <=> (~((~v157(constB189)) | (~v194(constB189)))))),
% 6.76/5.01 inference(modus_ponens,[status(thm)],[16549, 16548])).
% 6.76/5.01 tff(16551,plain,
% 6.76/5.01 (v193(constB189) <=> (~((~v157(constB189)) | (~v194(constB189))))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16550, 15442])).
% 6.76/5.01 tff(16552,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB189)) <=> v195(constB189))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16553,plain,
% 6.76/5.01 ((~v194(constB189)) <=> v195(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16552, 15527])).
% 6.76/5.01 tff(16554,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB189) <=> (v185(constB189) | v26(constB189)))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16555,plain,
% 6.76/5.01 (v195(constB189) <=> (v185(constB189) | v26(constB189))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16554, 15536])).
% 6.76/5.01 tff(16556,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB189) <=> (~((~v39(constB189)) | (~v9(constB189)))))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16557,plain,
% 6.76/5.01 (v185(constB189) <=> (~((~v39(constB189)) | (~v9(constB189))))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16556, 93])).
% 6.76/5.01 tff(16558,plain,
% 6.76/5.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189)))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16559,plain,
% 6.76/5.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189)))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16560,plain,
% 6.76/5.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189))),
% 6.76/5.01 inference(modus_ponens,[status(thm)],[16559, 16558])).
% 6.76/5.01 tff(16561,plain,
% 6.76/5.01 (v13(constB190) <=> v9(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16560, 16486, 15550])).
% 6.76/5.01 tff(16562,plain,
% 6.76/5.01 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB190) <=> v13(constB190))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16563,plain,
% 6.76/5.01 (v6(constB190) <=> v13(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16562, 15564])).
% 6.76/5.01 tff(16564,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB190)) <=> v6(constB190))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16565,plain,
% 6.76/5.01 ((~v21(constB190)) <=> v6(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16564, 15573])).
% 6.76/5.01 tff(16566,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB190) <=> (v20(constB190) | v21(constB190)))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16567,plain,
% 6.76/5.01 (v19(constB190) <=> (v20(constB190) | v21(constB190))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16566, 15582])).
% 6.76/5.01 tff(16568,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190)))))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16569,plain,
% 6.76/5.01 (v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190))))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16568, 15594])).
% 6.76/5.01 tff(16570,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB190)) <=> v18(constB190))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16571,plain,
% 6.76/5.01 ((~v4(constB190)) <=> v18(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16570, 15603])).
% 6.76/5.01 tff(16572,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB190)),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16573,plain,
% 6.76/5.01 (v4(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16572, 15612])).
% 6.76/5.01 tff(16574,plain,
% 6.76/5.01 ((~((~v4(constB190)) <=> v18(constB190))) | (~v4(constB190)) | (~v18(constB190))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16575,plain,
% 6.76/5.01 (~v18(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16574, 16573, 16571])).
% 6.76/5.01 tff(16576,plain,
% 6.76/5.01 ((~(v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190)))))) | v18(constB190) | ((~v19(constB190)) | (~v22(constB190)))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16577,plain,
% 6.76/5.01 ((~v19(constB190)) | (~v22(constB190))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16576, 16575, 16569])).
% 6.76/5.01 tff(16578,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB190) <=> (v1(constB190) | v6(constB190)))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16579,plain,
% 6.76/5.01 (v22(constB190) <=> (v1(constB190) | v6(constB190))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16578, 15625])).
% 6.76/5.01 tff(16580,plain,
% 6.76/5.01 (v1(constB190) <=> v1(constB190)),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16581,axiom,(v1(constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_190')).
% 6.76/5.01 tff(16582,plain,
% 6.76/5.01 (v1(constB190)),
% 6.76/5.01 inference(modus_ponens,[status(thm)],[16581, 16580])).
% 6.76/5.01 tff(16583,plain,
% 6.76/5.01 ((v1(constB190) | v6(constB190)) | (~v1(constB190))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16584,plain,
% 6.76/5.01 (v1(constB190) | v6(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16583, 16582])).
% 6.76/5.01 tff(16585,plain,
% 6.76/5.01 ((~(v22(constB190) <=> (v1(constB190) | v6(constB190)))) | v22(constB190) | (~(v1(constB190) | v6(constB190)))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16586,plain,
% 6.76/5.01 ((~(v22(constB190) <=> (v1(constB190) | v6(constB190)))) | v22(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16585, 16584])).
% 6.76/5.01 tff(16587,plain,
% 6.76/5.01 (v22(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16586, 16579])).
% 6.76/5.01 tff(16588,plain,
% 6.76/5.01 ((~((~v19(constB190)) | (~v22(constB190)))) | (~v19(constB190)) | (~v22(constB190))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16589,plain,
% 6.76/5.01 ((~((~v19(constB190)) | (~v22(constB190)))) | (~v19(constB190))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16588, 16587])).
% 6.76/5.01 tff(16590,plain,
% 6.76/5.01 (~v19(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16589, 16577])).
% 6.76/5.01 tff(16591,plain,
% 6.76/5.01 ((~(v19(constB190) <=> (v20(constB190) | v21(constB190)))) | v19(constB190) | (~(v20(constB190) | v21(constB190)))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16592,plain,
% 6.76/5.01 (~(v20(constB190) | v21(constB190))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16591, 16590, 16567])).
% 6.76/5.01 tff(16593,plain,
% 6.76/5.01 ((v20(constB190) | v21(constB190)) | (~v21(constB190))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16594,plain,
% 6.76/5.01 (~v21(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16593, 16592])).
% 6.76/5.01 tff(16595,plain,
% 6.76/5.01 ((~((~v21(constB190)) <=> v6(constB190))) | v21(constB190) | v6(constB190)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16596,plain,
% 6.76/5.01 (v6(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16595, 16594, 16565])).
% 6.76/5.01 tff(16597,plain,
% 6.76/5.01 ((~(v6(constB190) <=> v13(constB190))) | (~v6(constB190)) | v13(constB190)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16598,plain,
% 6.76/5.01 (v13(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16597, 16596, 16563])).
% 6.76/5.01 tff(16599,plain,
% 6.76/5.01 ((~(v13(constB190) <=> v9(constB189))) | (~v13(constB190)) | v9(constB189)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16600,plain,
% 6.76/5.01 (v9(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16599, 16598, 16561])).
% 6.76/5.01 tff(16601,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB189)) <=> v1(constB189))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16602,plain,
% 6.76/5.01 ((~v39(constB189)) <=> v1(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16601, 102])).
% 6.76/5.01 tff(16603,plain,
% 6.76/5.01 ((~v1(constB189)) <=> (~v1(constB189))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16604,axiom,(~v1(constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_189')).
% 6.76/5.01 tff(16605,plain,
% 6.76/5.01 (~v1(constB189)),
% 6.76/5.01 inference(modus_ponens,[status(thm)],[16604, 16603])).
% 6.76/5.01 tff(16606,plain,
% 6.76/5.01 ((~((~v39(constB189)) <=> v1(constB189))) | v39(constB189) | v1(constB189)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16607,plain,
% 6.76/5.01 ((~((~v39(constB189)) <=> v1(constB189))) | v39(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16606, 16605])).
% 6.76/5.01 tff(16608,plain,
% 6.76/5.01 (v39(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16607, 16602])).
% 6.76/5.01 tff(16609,plain,
% 6.76/5.01 ((~((~v39(constB189)) | (~v9(constB189)))) | (~v39(constB189)) | (~v9(constB189))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16610,plain,
% 6.76/5.01 ((~((~v39(constB189)) | (~v9(constB189)))) | (~v9(constB189))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16609, 16608])).
% 6.76/5.01 tff(16611,plain,
% 6.76/5.01 (~((~v39(constB189)) | (~v9(constB189)))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16610, 16600])).
% 6.76/5.01 tff(16612,plain,
% 6.76/5.01 ((~(v185(constB189) <=> (~((~v39(constB189)) | (~v9(constB189)))))) | v185(constB189) | ((~v39(constB189)) | (~v9(constB189)))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16613,plain,
% 6.76/5.01 (v185(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16612, 16611, 16557])).
% 6.76/5.01 tff(16614,plain,
% 6.76/5.01 ((v185(constB189) | v26(constB189)) | (~v185(constB189))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16615,plain,
% 6.76/5.01 (v185(constB189) | v26(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16614, 16613])).
% 6.76/5.01 tff(16616,plain,
% 6.76/5.01 ((~(v195(constB189) <=> (v185(constB189) | v26(constB189)))) | v195(constB189) | (~(v185(constB189) | v26(constB189)))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16617,plain,
% 6.76/5.01 (v195(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16616, 16615, 16555])).
% 6.76/5.01 tff(16618,plain,
% 6.76/5.01 ((~((~v194(constB189)) <=> v195(constB189))) | (~v194(constB189)) | (~v195(constB189))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16619,plain,
% 6.76/5.01 (~v194(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16618, 16617, 16553])).
% 6.76/5.01 tff(16620,plain,
% 6.76/5.01 (((~v157(constB189)) | (~v194(constB189))) | v194(constB189)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16621,plain,
% 6.76/5.01 ((~v157(constB189)) | (~v194(constB189))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16620, 16619])).
% 6.76/5.01 tff(16622,plain,
% 6.76/5.01 ((~(v193(constB189) <=> (~((~v157(constB189)) | (~v194(constB189)))))) | (~v193(constB189)) | (~((~v157(constB189)) | (~v194(constB189))))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16623,plain,
% 6.76/5.01 (~v193(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16622, 16621, 16551])).
% 6.76/5.01 tff(16624,plain,
% 6.76/5.01 ((~(v193(constB189) | v196(constB189))) | v193(constB189) | v196(constB189)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16625,plain,
% 6.76/5.01 (~(v193(constB189) | v196(constB189))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16624, 16623, 16544])).
% 6.76/5.01 tff(16626,plain,
% 6.76/5.01 ((~(v190(constB189) <=> (v193(constB189) | v196(constB189)))) | (~v190(constB189)) | (v193(constB189) | v196(constB189))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16627,plain,
% 6.76/5.01 (~v190(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16626, 16625, 16492])).
% 6.76/5.01 tff(16628,plain,
% 6.76/5.01 ((~(v192(constB190) <=> v190(constB189))) | (~v192(constB190)) | v190(constB189)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16629,plain,
% 6.76/5.01 (~v192(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16628, 16627, 16490])).
% 6.76/5.01 tff(16630,plain,
% 6.76/5.01 ((~(v157(constB190) <=> v192(constB190))) | (~v157(constB190)) | v192(constB190)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16631,plain,
% 6.76/5.01 (~v157(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16630, 16629, 16483])).
% 6.76/5.01 tff(16632,plain,
% 6.76/5.01 (((~v157(constB190)) | (~v194(constB190))) | v157(constB190)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16633,plain,
% 6.76/5.01 ((~v157(constB190)) | (~v194(constB190))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16632, 16631])).
% 6.76/5.01 tff(16634,plain,
% 6.76/5.01 ((~(v193(constB190) <=> (~((~v157(constB190)) | (~v194(constB190)))))) | (~v193(constB190)) | (~((~v157(constB190)) | (~v194(constB190))))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16635,plain,
% 6.76/5.01 (~v193(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16634, 16633, 16481])).
% 6.76/5.01 tff(16636,plain,
% 6.76/5.01 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB190) <=> (~((~v159(constB190)) | (~v194(constB190)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB190) <=> (~((~v159(constB190)) | (~v194(constB190))))))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16637,plain,
% 6.76/5.01 ((v196(constB190) <=> (~((~v194(constB190)) | (~v159(constB190))))) <=> (v196(constB190) <=> (~((~v159(constB190)) | (~v194(constB190)))))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16638,plain,
% 6.76/5.01 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB190) <=> (~((~v194(constB190)) | (~v159(constB190)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB190) <=> (~((~v159(constB190)) | (~v194(constB190))))))),
% 6.76/5.01 inference(monotonicity,[status(thm)],[16637])).
% 6.76/5.01 tff(16639,plain,
% 6.76/5.01 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB190) <=> (~((~v194(constB190)) | (~v159(constB190)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB190) <=> (~((~v159(constB190)) | (~v194(constB190))))))),
% 6.76/5.01 inference(transitivity,[status(thm)],[16638, 16636])).
% 6.76/5.01 tff(16640,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB190) <=> (~((~v194(constB190)) | (~v159(constB190)))))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16641,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB190) <=> (~((~v159(constB190)) | (~v194(constB190)))))),
% 6.76/5.01 inference(modus_ponens,[status(thm)],[16640, 16639])).
% 6.76/5.01 tff(16642,plain,
% 6.76/5.01 (v196(constB190) <=> (~((~v159(constB190)) | (~v194(constB190))))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16641, 15467])).
% 6.76/5.01 tff(16643,plain,
% 6.76/5.01 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB190) <=> v182(constB190))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16644,plain,
% 6.76/5.01 (v159(constB190) <=> v182(constB190)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16643, 15113])).
% 6.76/5.01 tff(16645,plain,
% 6.76/5.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB189, constB190)) | (v182(constB190) <=> v180(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB189, constB190)) | (v182(constB190) <=> v180(constB189)))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16646,plain,
% 6.76/5.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB189, constB190)) | (v182(constB190) <=> v180(constB189)))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16647,plain,
% 6.76/5.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB189, constB190)) | (v182(constB190) <=> v180(constB189))),
% 6.76/5.01 inference(modus_ponens,[status(thm)],[16646, 16645])).
% 6.76/5.01 tff(16648,plain,
% 6.76/5.01 (v182(constB190) <=> v180(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16647, 16486, 15125])).
% 6.76/5.01 tff(16649,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB189) <=> (~((~v183(constB189)) | (~v184(constB189)))))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16650,plain,
% 6.76/5.01 (v180(constB189) <=> (~((~v183(constB189)) | (~v184(constB189))))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16649, 15139])).
% 6.76/5.01 tff(16651,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB189) <=> (~((~v185(constB189)) | (~v161(constB189)))))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16652,plain,
% 6.76/5.01 (v184(constB189) <=> (~((~v185(constB189)) | (~v161(constB189))))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16651, 15151])).
% 6.76/5.01 tff(16653,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB189) <=> v163(constB189))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16654,plain,
% 6.76/5.01 (v161(constB189) <=> v163(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16653, 15701])).
% 6.76/5.01 tff(16655,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB189) <=> (v145(constB189) | v167(constB189)))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16656,plain,
% 6.76/5.01 (v166(constB189) <=> (v145(constB189) | v167(constB189))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16655, 15713])).
% 6.76/5.01 tff(16657,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB189) <=> (v142(constB189) | v168(constB189)))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16658,plain,
% 6.76/5.01 (v167(constB189) <=> (v142(constB189) | v168(constB189))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16657, 15725])).
% 6.76/5.01 tff(16659,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB189) <=> (v143(constB189) | v144(constB189)))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16660,plain,
% 6.76/5.01 (v142(constB189) <=> (v143(constB189) | v144(constB189))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16659, 221])).
% 6.76/5.01 tff(16661,plain,
% 6.76/5.01 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB189) <=> (~((~v88(constB189, 1)) | v88(constB189, 2) | v88(constB189, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB189) <=> (~((~v88(constB189, 1)) | v88(constB189, 2) | v88(constB189, 0)))))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16662,plain,
% 6.76/5.01 ((v143(constB189) <=> (~(v88(constB189, 0) | v88(constB189, 2) | (~v88(constB189, 1))))) <=> (v143(constB189) <=> (~((~v88(constB189, 1)) | v88(constB189, 2) | v88(constB189, 0))))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16663,plain,
% 6.76/5.01 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB189) <=> (~(v88(constB189, 0) | v88(constB189, 2) | (~v88(constB189, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB189) <=> (~((~v88(constB189, 1)) | v88(constB189, 2) | v88(constB189, 0)))))),
% 6.76/5.01 inference(monotonicity,[status(thm)],[16662])).
% 6.76/5.01 tff(16664,plain,
% 6.76/5.01 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB189) <=> (~(v88(constB189, 0) | v88(constB189, 2) | (~v88(constB189, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB189) <=> (~((~v88(constB189, 1)) | v88(constB189, 2) | v88(constB189, 0)))))),
% 6.76/5.01 inference(transitivity,[status(thm)],[16663, 16661])).
% 6.76/5.01 tff(16665,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB189) <=> (~(v88(constB189, 0) | v88(constB189, 2) | (~v88(constB189, 1)))))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16666,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB189) <=> (~((~v88(constB189, 1)) | v88(constB189, 2) | v88(constB189, 0))))),
% 6.76/5.01 inference(modus_ponens,[status(thm)],[16665, 16664])).
% 6.76/5.01 tff(16667,plain,
% 6.76/5.01 (v143(constB189) <=> (~((~v88(constB189, 1)) | v88(constB189, 2) | v88(constB189, 0)))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16666, 236])).
% 6.76/5.01 tff(16668,plain,
% 6.76/5.01 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB189, 1)) <=> v90(constB189, 1)) | ((~v88(constB189, 2)) <=> v90(constB189, 2)) | ((~v88(constB189, 0)) <=> v90(constB189, 0))))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16669,plain,
% 6.76/5.01 (~(((~v88(constB189, 1)) <=> v90(constB189, 1)) | ((~v88(constB189, 2)) <=> v90(constB189, 2)) | ((~v88(constB189, 0)) <=> v90(constB189, 0)))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16668, 256])).
% 6.76/5.01 tff(16670,plain,
% 6.76/5.01 ((((~v88(constB189, 1)) <=> v90(constB189, 1)) | ((~v88(constB189, 2)) <=> v90(constB189, 2)) | ((~v88(constB189, 0)) <=> v90(constB189, 0))) | (~((~v88(constB189, 2)) <=> v90(constB189, 2)))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16671,plain,
% 6.76/5.01 (~((~v88(constB189, 2)) <=> v90(constB189, 2))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16670, 16669])).
% 6.76/5.01 tff(16672,plain,
% 6.76/5.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16673,plain,
% 6.76/5.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16674,plain,
% 6.76/5.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189)))))),
% 6.76/5.01 inference(modus_ponens,[status(thm)],[16673, 16672])).
% 6.76/5.01 tff(16675,plain,
% 6.76/5.01 (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16674, 16504, 273])).
% 6.76/5.01 tff(16676,plain,
% 6.76/5.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16677,plain,
% 6.76/5.01 (((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189)))))) <=> ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16678,plain,
% 6.76/5.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))))),
% 6.76/5.01 inference(monotonicity,[status(thm)],[16677])).
% 6.76/5.01 tff(16679,plain,
% 6.76/5.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))),
% 6.76/5.01 inference(transitivity,[status(thm)],[16678, 16676])).
% 6.76/5.01 tff(16680,plain,
% 6.76/5.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189))))))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16681,plain,
% 6.76/5.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))),
% 6.76/5.01 inference(modus_ponens,[status(thm)],[16680, 16679])).
% 6.76/5.01 tff(16682,plain,
% 6.76/5.01 (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16681, 16504, 293])).
% 6.76/5.01 tff(16683,plain,
% 6.76/5.01 (((~v1(constB189)) | (~v102(constB189))) | v1(constB189)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16684,plain,
% 6.76/5.01 ((~v1(constB189)) | (~v102(constB189))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16683, 16605])).
% 6.76/5.01 tff(16685,plain,
% 6.76/5.01 ((~(v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))) | (~v101(constB189)) | (~((~v1(constB189)) | (~v102(constB189))))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16686,plain,
% 6.76/5.01 ((~(v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))) | (~v101(constB189))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16685, 16684])).
% 6.76/5.01 tff(16687,plain,
% 6.76/5.01 (~v101(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16686, 16682])).
% 6.76/5.01 tff(16688,plain,
% 6.76/5.01 (((~v101(constB189)) | (~v110(constB189))) | v101(constB189)),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16689,plain,
% 6.76/5.01 ((~v101(constB189)) | (~v110(constB189))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16688, 16687])).
% 6.76/5.01 tff(16690,plain,
% 6.76/5.01 ((~(v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189)))))) | (~v100(constB189)) | (~((~v101(constB189)) | (~v110(constB189))))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16691,plain,
% 6.76/5.01 (~v100(constB189)),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16690, 16689, 16675])).
% 6.76/5.01 tff(16692,plain,
% 6.76/5.01 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 0)) <=> v90(constB188, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 0)) <=> v90(constB188, 0)))))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16693,plain,
% 6.76/5.01 ((v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 0)) <=> v90(constB188, 0))))) <=> (v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 0)) <=> v90(constB188, 0)))))),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16694,plain,
% 6.76/5.01 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 0)) <=> v90(constB188, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 0)) <=> v90(constB188, 0))))))),
% 6.76/5.01 inference(monotonicity,[status(thm)],[16693])).
% 6.76/5.01 tff(16695,plain,
% 6.76/5.01 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 0)) <=> v90(constB188, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 0)) <=> v90(constB188, 0)))))),
% 6.76/5.01 inference(transitivity,[status(thm)],[16694, 16692])).
% 6.76/5.01 tff(16696,plain,
% 6.76/5.01 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 0)) <=> v90(constB188, 0)))))),
% 6.76/5.01 inference(quant_inst,[status(thm)],[])).
% 6.76/5.01 tff(16697,plain,
% 6.76/5.01 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 0)) <=> v90(constB188, 0))))),
% 6.76/5.01 inference(modus_ponens,[status(thm)],[16696, 16695])).
% 6.76/5.01 tff(16698,plain,
% 6.76/5.01 (v100(constB189) | (~(((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 0)) <=> v90(constB188, 0))))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16697, 16504, 325])).
% 6.76/5.01 tff(16699,plain,
% 6.76/5.01 (~(((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 0)) <=> v90(constB188, 0)))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16698, 16691])).
% 6.76/5.01 tff(16700,plain,
% 6.76/5.01 ((((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 0)) <=> v90(constB188, 0))) | (~((~v90(constB189, 2)) <=> v90(constB188, 2)))),
% 6.76/5.01 inference(tautology,[status(thm)],[])).
% 6.76/5.01 tff(16701,plain,
% 6.76/5.01 (~((~v90(constB189, 2)) <=> v90(constB188, 2))),
% 6.76/5.01 inference(unit_resolution,[status(thm)],[16700, 16699])).
% 6.76/5.01 tff(16702,plain,
% 6.76/5.01 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 6.76/5.01 inference(rewrite,[status(thm)],[])).
% 6.76/5.01 tff(16703,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_187')).
% 6.76/5.01 tff(16704,plain,
% 6.76/5.01 (nextState(constB187, constB188)),
% 6.76/5.01 inference(modus_ponens,[status(thm)],[16703, 16702])).
% 6.76/5.01 tff(16705,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB187, constB188)) | (~(((~v129(constB188, 2)) <=> v127(constB187, 2)) | ((~v129(constB188, 1)) <=> v127(constB187, 1)) | ((~v129(constB188, 0)) <=> v127(constB187, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB187, constB188)) | (~(((~v129(constB188, 2)) <=> v127(constB187, 2)) | ((~v129(constB188, 1)) <=> v127(constB187, 1)) | ((~v129(constB188, 0)) <=> v127(constB187, 0)))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16706,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB187, constB188)) | (~(((~v129(constB188, 2)) <=> v127(constB187, 2)) | ((~v129(constB188, 1)) <=> v127(constB187, 1)) | ((~v129(constB188, 0)) <=> v127(constB187, 0)))))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16707,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB187, constB188)) | (~(((~v129(constB188, 2)) <=> v127(constB187, 2)) | ((~v129(constB188, 1)) <=> v127(constB187, 1)) | ((~v129(constB188, 0)) <=> v127(constB187, 0))))),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16706, 16705])).
% 6.76/5.02 tff(16708,plain,
% 6.76/5.02 (~(((~v129(constB188, 2)) <=> v127(constB187, 2)) | ((~v129(constB188, 1)) <=> v127(constB187, 1)) | ((~v129(constB188, 0)) <=> v127(constB187, 0)))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16707, 16704, 348])).
% 6.76/5.02 tff(16709,plain,
% 6.76/5.02 ((((~v129(constB188, 2)) <=> v127(constB187, 2)) | ((~v129(constB188, 1)) <=> v127(constB187, 1)) | ((~v129(constB188, 0)) <=> v127(constB187, 0))) | (~((~v129(constB188, 2)) <=> v127(constB187, 2)))),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16710,plain,
% 6.76/5.02 (~((~v129(constB188, 2)) <=> v127(constB187, 2))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16709, 16708])).
% 6.76/5.02 tff(16711,plain,
% 6.76/5.02 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB187) <=> v26(constB187))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16712,plain,
% 6.76/5.02 (v111(constB187) <=> v26(constB187)),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16711, 367])).
% 6.76/5.02 tff(16713,plain,
% 6.76/5.02 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB187))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16714,plain,
% 6.76/5.02 (~v26(constB187)),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16713, 379])).
% 6.76/5.02 tff(16715,plain,
% 6.76/5.02 ((~(v111(constB187) <=> v26(constB187))) | (~v111(constB187)) | v26(constB187)),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16716,plain,
% 6.76/5.02 ((~(v111(constB187) <=> v26(constB187))) | (~v111(constB187))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16715, 16714])).
% 6.76/5.02 tff(16717,plain,
% 6.76/5.02 (~v111(constB187)),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16716, 16712])).
% 6.76/5.02 tff(16718,plain,
% 6.76/5.02 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB187) | (~(((~v127(constB187, 2)) <=> v130(constB187, 2)) | ((~v127(constB187, 1)) <=> v130(constB187, 1)) | ((~v127(constB187, 0)) <=> v130(constB187, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB187) | (~(((~v127(constB187, 2)) <=> v130(constB187, 2)) | ((~v127(constB187, 1)) <=> v130(constB187, 1)) | ((~v127(constB187, 0)) <=> v130(constB187, 0)))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16719,plain,
% 6.76/5.02 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB187) | (~(((~v127(constB187, 2)) <=> v130(constB187, 2)) | ((~v127(constB187, 1)) <=> v130(constB187, 1)) | ((~v127(constB187, 0)) <=> v130(constB187, 0)))))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16720,plain,
% 6.76/5.02 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB187) | (~(((~v127(constB187, 2)) <=> v130(constB187, 2)) | ((~v127(constB187, 1)) <=> v130(constB187, 1)) | ((~v127(constB187, 0)) <=> v130(constB187, 0))))),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16719, 16718])).
% 6.76/5.02 tff(16721,plain,
% 6.76/5.02 (v111(constB187) | (~(((~v127(constB187, 2)) <=> v130(constB187, 2)) | ((~v127(constB187, 1)) <=> v130(constB187, 1)) | ((~v127(constB187, 0)) <=> v130(constB187, 0))))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16720, 397])).
% 6.76/5.02 tff(16722,plain,
% 6.76/5.02 (~(((~v127(constB187, 2)) <=> v130(constB187, 2)) | ((~v127(constB187, 1)) <=> v130(constB187, 1)) | ((~v127(constB187, 0)) <=> v130(constB187, 0)))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16721, 16717])).
% 6.76/5.02 tff(16723,plain,
% 6.76/5.02 ((((~v127(constB187, 2)) <=> v130(constB187, 2)) | ((~v127(constB187, 1)) <=> v130(constB187, 1)) | ((~v127(constB187, 0)) <=> v130(constB187, 0))) | (~((~v127(constB187, 2)) <=> v130(constB187, 2)))),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16724,plain,
% 6.76/5.02 (~((~v127(constB187, 2)) <=> v130(constB187, 2))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16723, 16722])).
% 6.76/5.02 tff(16725,plain,
% 6.76/5.02 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB187) <=> (~(v90(constB187, 1) | v90(constB187, 2) | (~v90(constB187, 0)))))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16726,plain,
% 6.76/5.02 (v120(constB187) <=> (~(v90(constB187, 1) | v90(constB187, 2) | (~v90(constB187, 0))))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16725, 417])).
% 6.76/5.02 tff(16727,plain,
% 6.76/5.02 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16728,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_186')).
% 6.76/5.02 tff(16729,plain,
% 6.76/5.02 (nextState(constB186, constB187)),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16728, 16727])).
% 6.76/5.02 tff(16730,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16731,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16732,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187)))))),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16731, 16730])).
% 6.76/5.02 tff(16733,plain,
% 6.76/5.02 (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16732, 16729, 273])).
% 6.76/5.02 tff(16734,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16735,plain,
% 6.76/5.02 (((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187)))))) <=> ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16736,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))))),
% 6.76/5.02 inference(monotonicity,[status(thm)],[16735])).
% 6.76/5.02 tff(16737,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))),
% 6.76/5.02 inference(transitivity,[status(thm)],[16736, 16734])).
% 6.76/5.02 tff(16738,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187))))))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16739,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16738, 16737])).
% 6.76/5.02 tff(16740,plain,
% 6.76/5.02 (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16739, 16729, 293])).
% 6.76/5.02 tff(16741,plain,
% 6.76/5.02 ((~v1(constB187)) <=> (~v1(constB187))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16742,axiom,(~v1(constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_187')).
% 6.76/5.02 tff(16743,plain,
% 6.76/5.02 (~v1(constB187)),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16742, 16741])).
% 6.76/5.02 tff(16744,plain,
% 6.76/5.02 (((~v1(constB187)) | (~v102(constB187))) | v1(constB187)),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16745,plain,
% 6.76/5.02 ((~v1(constB187)) | (~v102(constB187))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16744, 16743])).
% 6.76/5.02 tff(16746,plain,
% 6.76/5.02 ((~(v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))) | (~v101(constB187)) | (~((~v1(constB187)) | (~v102(constB187))))),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16747,plain,
% 6.76/5.02 ((~(v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))) | (~v101(constB187))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16746, 16745])).
% 6.76/5.02 tff(16748,plain,
% 6.76/5.02 (~v101(constB187)),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16747, 16740])).
% 6.76/5.02 tff(16749,plain,
% 6.76/5.02 (((~v101(constB187)) | (~v110(constB187))) | v101(constB187)),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16750,plain,
% 6.76/5.02 ((~v101(constB187)) | (~v110(constB187))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16749, 16748])).
% 6.76/5.02 tff(16751,plain,
% 6.76/5.02 ((~(v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187)))))) | (~v100(constB187)) | (~((~v101(constB187)) | (~v110(constB187))))),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16752,plain,
% 6.76/5.02 (~v100(constB187)),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16751, 16750, 16733])).
% 6.76/5.02 tff(16753,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 0)) <=> v90(constB186, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 0)) <=> v90(constB186, 0)))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16754,plain,
% 6.76/5.02 ((v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 0)) <=> v90(constB186, 0))))) <=> (v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 0)) <=> v90(constB186, 0)))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16755,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 0)) <=> v90(constB186, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 0)) <=> v90(constB186, 0))))))),
% 6.76/5.02 inference(monotonicity,[status(thm)],[16754])).
% 6.76/5.02 tff(16756,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 0)) <=> v90(constB186, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 0)) <=> v90(constB186, 0)))))),
% 6.76/5.02 inference(transitivity,[status(thm)],[16755, 16753])).
% 6.76/5.02 tff(16757,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 0)) <=> v90(constB186, 0)))))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16758,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 0)) <=> v90(constB186, 0))))),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16757, 16756])).
% 6.76/5.02 tff(16759,plain,
% 6.76/5.02 (v100(constB187) | (~(((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 0)) <=> v90(constB186, 0))))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16758, 16729, 325])).
% 6.76/5.02 tff(16760,plain,
% 6.76/5.02 (~(((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 0)) <=> v90(constB186, 0)))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16759, 16752])).
% 6.76/5.02 tff(16761,plain,
% 6.76/5.02 ((((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 0)) <=> v90(constB186, 0))) | (~((~v90(constB187, 2)) <=> v90(constB186, 2)))),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16762,plain,
% 6.76/5.02 (~((~v90(constB187, 2)) <=> v90(constB186, 2))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16761, 16760])).
% 6.76/5.02 tff(16763,plain,
% 6.76/5.02 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16764,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_185')).
% 6.76/5.02 tff(16765,plain,
% 6.76/5.02 (nextState(constB185, constB186)),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16764, 16763])).
% 6.76/5.02 tff(16766,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB185, constB186)) | (~(((~v129(constB186, 2)) <=> v127(constB185, 2)) | ((~v129(constB186, 1)) <=> v127(constB185, 1)) | ((~v129(constB186, 0)) <=> v127(constB185, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB185, constB186)) | (~(((~v129(constB186, 2)) <=> v127(constB185, 2)) | ((~v129(constB186, 1)) <=> v127(constB185, 1)) | ((~v129(constB186, 0)) <=> v127(constB185, 0)))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16767,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB185, constB186)) | (~(((~v129(constB186, 2)) <=> v127(constB185, 2)) | ((~v129(constB186, 1)) <=> v127(constB185, 1)) | ((~v129(constB186, 0)) <=> v127(constB185, 0)))))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16768,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB185, constB186)) | (~(((~v129(constB186, 2)) <=> v127(constB185, 2)) | ((~v129(constB186, 1)) <=> v127(constB185, 1)) | ((~v129(constB186, 0)) <=> v127(constB185, 0))))),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16767, 16766])).
% 6.76/5.02 tff(16769,plain,
% 6.76/5.02 (~(((~v129(constB186, 2)) <=> v127(constB185, 2)) | ((~v129(constB186, 1)) <=> v127(constB185, 1)) | ((~v129(constB186, 0)) <=> v127(constB185, 0)))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16768, 16765, 348])).
% 6.76/5.02 tff(16770,plain,
% 6.76/5.02 ((((~v129(constB186, 2)) <=> v127(constB185, 2)) | ((~v129(constB186, 1)) <=> v127(constB185, 1)) | ((~v129(constB186, 0)) <=> v127(constB185, 0))) | (~((~v129(constB186, 2)) <=> v127(constB185, 2)))),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16771,plain,
% 6.76/5.02 (~((~v129(constB186, 2)) <=> v127(constB185, 2))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16770, 16769])).
% 6.76/5.02 tff(16772,plain,
% 6.76/5.02 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB185) <=> v26(constB185))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16773,plain,
% 6.76/5.02 (v111(constB185) <=> v26(constB185)),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16772, 367])).
% 6.76/5.02 tff(16774,plain,
% 6.76/5.02 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB185))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16775,plain,
% 6.76/5.02 (~v26(constB185)),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16774, 379])).
% 6.76/5.02 tff(16776,plain,
% 6.76/5.02 ((~(v111(constB185) <=> v26(constB185))) | (~v111(constB185)) | v26(constB185)),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16777,plain,
% 6.76/5.02 ((~(v111(constB185) <=> v26(constB185))) | (~v111(constB185))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16776, 16775])).
% 6.76/5.02 tff(16778,plain,
% 6.76/5.02 (~v111(constB185)),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16777, 16773])).
% 6.76/5.02 tff(16779,plain,
% 6.76/5.02 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB185) | (~(((~v127(constB185, 2)) <=> v130(constB185, 2)) | ((~v127(constB185, 1)) <=> v130(constB185, 1)) | ((~v127(constB185, 0)) <=> v130(constB185, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB185) | (~(((~v127(constB185, 2)) <=> v130(constB185, 2)) | ((~v127(constB185, 1)) <=> v130(constB185, 1)) | ((~v127(constB185, 0)) <=> v130(constB185, 0)))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16780,plain,
% 6.76/5.02 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB185) | (~(((~v127(constB185, 2)) <=> v130(constB185, 2)) | ((~v127(constB185, 1)) <=> v130(constB185, 1)) | ((~v127(constB185, 0)) <=> v130(constB185, 0)))))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16781,plain,
% 6.76/5.02 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB185) | (~(((~v127(constB185, 2)) <=> v130(constB185, 2)) | ((~v127(constB185, 1)) <=> v130(constB185, 1)) | ((~v127(constB185, 0)) <=> v130(constB185, 0))))),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16780, 16779])).
% 6.76/5.02 tff(16782,plain,
% 6.76/5.02 (v111(constB185) | (~(((~v127(constB185, 2)) <=> v130(constB185, 2)) | ((~v127(constB185, 1)) <=> v130(constB185, 1)) | ((~v127(constB185, 0)) <=> v130(constB185, 0))))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16781, 397])).
% 6.76/5.02 tff(16783,plain,
% 6.76/5.02 (~(((~v127(constB185, 2)) <=> v130(constB185, 2)) | ((~v127(constB185, 1)) <=> v130(constB185, 1)) | ((~v127(constB185, 0)) <=> v130(constB185, 0)))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16782, 16778])).
% 6.76/5.02 tff(16784,plain,
% 6.76/5.02 ((((~v127(constB185, 2)) <=> v130(constB185, 2)) | ((~v127(constB185, 1)) <=> v130(constB185, 1)) | ((~v127(constB185, 0)) <=> v130(constB185, 0))) | (~((~v127(constB185, 2)) <=> v130(constB185, 2)))),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16785,plain,
% 6.76/5.02 (~((~v127(constB185, 2)) <=> v130(constB185, 2))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16784, 16783])).
% 6.76/5.02 tff(16786,plain,
% 6.76/5.02 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB185) <=> (~(v90(constB185, 0) | v90(constB185, 1) | v90(constB185, 2))))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16787,plain,
% 6.76/5.02 (v119(constB185) <=> (~(v90(constB185, 0) | v90(constB185, 1) | v90(constB185, 2)))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16786, 491])).
% 6.76/5.02 tff(16788,plain,
% 6.76/5.02 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16789,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_184')).
% 6.76/5.02 tff(16790,plain,
% 6.76/5.02 (nextState(constB184, constB185)),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16789, 16788])).
% 6.76/5.02 tff(16791,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16792,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16793,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185)))))),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16792, 16791])).
% 6.76/5.02 tff(16794,plain,
% 6.76/5.02 (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16793, 16790, 273])).
% 6.76/5.02 tff(16795,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16796,plain,
% 6.76/5.02 (((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185)))))) <=> ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16797,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))))),
% 6.76/5.02 inference(monotonicity,[status(thm)],[16796])).
% 6.76/5.02 tff(16798,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))),
% 6.76/5.02 inference(transitivity,[status(thm)],[16797, 16795])).
% 6.76/5.02 tff(16799,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185))))))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16800,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16799, 16798])).
% 6.76/5.02 tff(16801,plain,
% 6.76/5.02 (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16800, 16790, 293])).
% 6.76/5.02 tff(16802,plain,
% 6.76/5.02 ((~v1(constB185)) <=> (~v1(constB185))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16803,axiom,(~v1(constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_185')).
% 6.76/5.02 tff(16804,plain,
% 6.76/5.02 (~v1(constB185)),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16803, 16802])).
% 6.76/5.02 tff(16805,plain,
% 6.76/5.02 (((~v1(constB185)) | (~v102(constB185))) | v1(constB185)),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16806,plain,
% 6.76/5.02 ((~v1(constB185)) | (~v102(constB185))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16805, 16804])).
% 6.76/5.02 tff(16807,plain,
% 6.76/5.02 ((~(v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))) | (~v101(constB185)) | (~((~v1(constB185)) | (~v102(constB185))))),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16808,plain,
% 6.76/5.02 ((~(v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))) | (~v101(constB185))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16807, 16806])).
% 6.76/5.02 tff(16809,plain,
% 6.76/5.02 (~v101(constB185)),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16808, 16801])).
% 6.76/5.02 tff(16810,plain,
% 6.76/5.02 (((~v101(constB185)) | (~v110(constB185))) | v101(constB185)),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16811,plain,
% 6.76/5.02 ((~v101(constB185)) | (~v110(constB185))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16810, 16809])).
% 6.76/5.02 tff(16812,plain,
% 6.76/5.02 ((~(v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185)))))) | (~v100(constB185)) | (~((~v101(constB185)) | (~v110(constB185))))),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16813,plain,
% 6.76/5.02 (~v100(constB185)),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16812, 16811, 16794])).
% 6.76/5.02 tff(16814,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 0)) <=> v90(constB184, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 0)) <=> v90(constB184, 0)))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16815,plain,
% 6.76/5.02 ((v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 0)) <=> v90(constB184, 0))))) <=> (v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 0)) <=> v90(constB184, 0)))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16816,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 0)) <=> v90(constB184, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 0)) <=> v90(constB184, 0))))))),
% 6.76/5.02 inference(monotonicity,[status(thm)],[16815])).
% 6.76/5.02 tff(16817,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 0)) <=> v90(constB184, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 0)) <=> v90(constB184, 0)))))),
% 6.76/5.02 inference(transitivity,[status(thm)],[16816, 16814])).
% 6.76/5.02 tff(16818,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 0)) <=> v90(constB184, 0)))))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16819,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 0)) <=> v90(constB184, 0))))),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16818, 16817])).
% 6.76/5.02 tff(16820,plain,
% 6.76/5.02 (v100(constB185) | (~(((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 0)) <=> v90(constB184, 0))))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16819, 16790, 325])).
% 6.76/5.02 tff(16821,plain,
% 6.76/5.02 (~(((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 0)) <=> v90(constB184, 0)))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16820, 16813])).
% 6.76/5.02 tff(16822,plain,
% 6.76/5.02 ((((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 0)) <=> v90(constB184, 0))) | (~((~v90(constB185, 2)) <=> v90(constB184, 2)))),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16823,plain,
% 6.76/5.02 (~((~v90(constB185, 2)) <=> v90(constB184, 2))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16822, 16821])).
% 6.76/5.02 tff(16824,plain,
% 6.76/5.02 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16825,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_183')).
% 6.76/5.02 tff(16826,plain,
% 6.76/5.02 (nextState(constB183, constB184)),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16825, 16824])).
% 6.76/5.02 tff(16827,plain,
% 6.76/5.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB183, constB184)) | (~(((~v129(constB184, 2)) <=> v127(constB183, 2)) | ((~v129(constB184, 1)) <=> v127(constB183, 1)) | ((~v129(constB184, 0)) <=> v127(constB183, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB183, constB184)) | (~(((~v129(constB184, 2)) <=> v127(constB183, 2)) | ((~v129(constB184, 1)) <=> v127(constB183, 1)) | ((~v129(constB184, 0)) <=> v127(constB183, 0)))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16828,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB183, constB184)) | (~(((~v129(constB184, 2)) <=> v127(constB183, 2)) | ((~v129(constB184, 1)) <=> v127(constB183, 1)) | ((~v129(constB184, 0)) <=> v127(constB183, 0)))))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16829,plain,
% 6.76/5.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB183, constB184)) | (~(((~v129(constB184, 2)) <=> v127(constB183, 2)) | ((~v129(constB184, 1)) <=> v127(constB183, 1)) | ((~v129(constB184, 0)) <=> v127(constB183, 0))))),
% 6.76/5.02 inference(modus_ponens,[status(thm)],[16828, 16827])).
% 6.76/5.02 tff(16830,plain,
% 6.76/5.02 (~(((~v129(constB184, 2)) <=> v127(constB183, 2)) | ((~v129(constB184, 1)) <=> v127(constB183, 1)) | ((~v129(constB184, 0)) <=> v127(constB183, 0)))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16829, 16826, 348])).
% 6.76/5.02 tff(16831,plain,
% 6.76/5.02 ((((~v129(constB184, 2)) <=> v127(constB183, 2)) | ((~v129(constB184, 1)) <=> v127(constB183, 1)) | ((~v129(constB184, 0)) <=> v127(constB183, 0))) | (~((~v129(constB184, 2)) <=> v127(constB183, 2)))),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16832,plain,
% 6.76/5.02 (~((~v129(constB184, 2)) <=> v127(constB183, 2))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16831, 16830])).
% 6.76/5.02 tff(16833,plain,
% 6.76/5.02 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB183) <=> v26(constB183))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16834,plain,
% 6.76/5.02 (v111(constB183) <=> v26(constB183)),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16833, 367])).
% 6.76/5.02 tff(16835,plain,
% 6.76/5.02 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB183))),
% 6.76/5.02 inference(quant_inst,[status(thm)],[])).
% 6.76/5.02 tff(16836,plain,
% 6.76/5.02 (~v26(constB183)),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16835, 379])).
% 6.76/5.02 tff(16837,plain,
% 6.76/5.02 ((~(v111(constB183) <=> v26(constB183))) | (~v111(constB183)) | v26(constB183)),
% 6.76/5.02 inference(tautology,[status(thm)],[])).
% 6.76/5.02 tff(16838,plain,
% 6.76/5.02 ((~(v111(constB183) <=> v26(constB183))) | (~v111(constB183))),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16837, 16836])).
% 6.76/5.02 tff(16839,plain,
% 6.76/5.02 (~v111(constB183)),
% 6.76/5.02 inference(unit_resolution,[status(thm)],[16838, 16834])).
% 6.76/5.02 tff(16840,plain,
% 6.76/5.02 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB183) | (~(((~v127(constB183, 2)) <=> v130(constB183, 2)) | ((~v127(constB183, 1)) <=> v130(constB183, 1)) | ((~v127(constB183, 0)) <=> v130(constB183, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB183) | (~(((~v127(constB183, 2)) <=> v130(constB183, 2)) | ((~v127(constB183, 1)) <=> v130(constB183, 1)) | ((~v127(constB183, 0)) <=> v130(constB183, 0)))))),
% 6.76/5.02 inference(rewrite,[status(thm)],[])).
% 6.76/5.02 tff(16841,plain,
% 6.76/5.02 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB183) | (~(((~v127(constB183, 2)) <=> v130(constB183, 2)) | ((~v127(constB183, 1)) <=> v130(constB183, 1)) | ((~v127(constB183, 0)) <=> v130(constB183, 0)))))),
% 6.76/5.03 inference(quant_inst,[status(thm)],[])).
% 6.76/5.03 tff(16842,plain,
% 6.76/5.03 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB183) | (~(((~v127(constB183, 2)) <=> v130(constB183, 2)) | ((~v127(constB183, 1)) <=> v130(constB183, 1)) | ((~v127(constB183, 0)) <=> v130(constB183, 0))))),
% 6.76/5.03 inference(modus_ponens,[status(thm)],[16841, 16840])).
% 6.76/5.03 tff(16843,plain,
% 6.76/5.03 (v111(constB183) | (~(((~v127(constB183, 2)) <=> v130(constB183, 2)) | ((~v127(constB183, 1)) <=> v130(constB183, 1)) | ((~v127(constB183, 0)) <=> v130(constB183, 0))))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16842, 397])).
% 6.76/5.03 tff(16844,plain,
% 6.76/5.03 (~(((~v127(constB183, 2)) <=> v130(constB183, 2)) | ((~v127(constB183, 1)) <=> v130(constB183, 1)) | ((~v127(constB183, 0)) <=> v130(constB183, 0)))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16843, 16839])).
% 6.76/5.03 tff(16845,plain,
% 6.76/5.03 ((((~v127(constB183, 2)) <=> v130(constB183, 2)) | ((~v127(constB183, 1)) <=> v130(constB183, 1)) | ((~v127(constB183, 0)) <=> v130(constB183, 0))) | (~((~v127(constB183, 2)) <=> v130(constB183, 2)))),
% 6.76/5.03 inference(tautology,[status(thm)],[])).
% 6.76/5.03 tff(16846,plain,
% 6.76/5.03 (~((~v127(constB183, 2)) <=> v130(constB183, 2))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16845, 16844])).
% 6.76/5.03 tff(16847,plain,
% 6.76/5.03 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB183) <=> (~(v90(constB183, 1) | v90(constB183, 0) | (~v90(constB183, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB183) <=> (~(v90(constB183, 1) | v90(constB183, 0) | (~v90(constB183, 2))))))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16848,plain,
% 6.76/5.03 ((v123(constB183) <=> (~(v90(constB183, 0) | v90(constB183, 1) | (~v90(constB183, 2))))) <=> (v123(constB183) <=> (~(v90(constB183, 1) | v90(constB183, 0) | (~v90(constB183, 2)))))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16849,plain,
% 6.76/5.03 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB183) <=> (~(v90(constB183, 0) | v90(constB183, 1) | (~v90(constB183, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB183) <=> (~(v90(constB183, 1) | v90(constB183, 0) | (~v90(constB183, 2))))))),
% 6.76/5.03 inference(monotonicity,[status(thm)],[16848])).
% 6.76/5.03 tff(16850,plain,
% 6.76/5.03 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB183) <=> (~(v90(constB183, 0) | v90(constB183, 1) | (~v90(constB183, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB183) <=> (~(v90(constB183, 1) | v90(constB183, 0) | (~v90(constB183, 2))))))),
% 6.76/5.03 inference(transitivity,[status(thm)],[16849, 16847])).
% 6.76/5.03 tff(16851,plain,
% 6.76/5.03 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB183) <=> (~(v90(constB183, 0) | v90(constB183, 1) | (~v90(constB183, 2)))))),
% 6.76/5.03 inference(quant_inst,[status(thm)],[])).
% 6.76/5.03 tff(16852,plain,
% 6.76/5.03 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB183) <=> (~(v90(constB183, 1) | v90(constB183, 0) | (~v90(constB183, 2)))))),
% 6.76/5.03 inference(modus_ponens,[status(thm)],[16851, 16850])).
% 6.76/5.03 tff(16853,plain,
% 6.76/5.03 (v123(constB183) <=> (~(v90(constB183, 1) | v90(constB183, 0) | (~v90(constB183, 2))))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16852, 565])).
% 6.76/5.03 tff(16854,plain,
% 6.76/5.03 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16855,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_182')).
% 6.76/5.03 tff(16856,plain,
% 6.76/5.03 (nextState(constB182, constB183)),
% 6.76/5.03 inference(modus_ponens,[status(thm)],[16855, 16854])).
% 6.76/5.03 tff(16857,plain,
% 6.76/5.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16858,plain,
% 6.76/5.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))))),
% 6.76/5.03 inference(quant_inst,[status(thm)],[])).
% 6.76/5.03 tff(16859,plain,
% 6.76/5.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183)))))),
% 6.76/5.03 inference(modus_ponens,[status(thm)],[16858, 16857])).
% 6.76/5.03 tff(16860,plain,
% 6.76/5.03 (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16859, 16856, 273])).
% 6.76/5.03 tff(16861,plain,
% 6.76/5.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16862,plain,
% 6.76/5.03 (((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183)))))) <=> ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16863,plain,
% 6.76/5.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))))),
% 6.76/5.03 inference(monotonicity,[status(thm)],[16862])).
% 6.76/5.03 tff(16864,plain,
% 6.76/5.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))),
% 6.76/5.03 inference(transitivity,[status(thm)],[16863, 16861])).
% 6.76/5.03 tff(16865,plain,
% 6.76/5.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183))))))),
% 6.76/5.03 inference(quant_inst,[status(thm)],[])).
% 6.76/5.03 tff(16866,plain,
% 6.76/5.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))),
% 6.76/5.03 inference(modus_ponens,[status(thm)],[16865, 16864])).
% 6.76/5.03 tff(16867,plain,
% 6.76/5.03 (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16866, 16856, 293])).
% 6.76/5.03 tff(16868,plain,
% 6.76/5.03 ((~v1(constB183)) <=> (~v1(constB183))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16869,axiom,(~v1(constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_183')).
% 6.76/5.03 tff(16870,plain,
% 6.76/5.03 (~v1(constB183)),
% 6.76/5.03 inference(modus_ponens,[status(thm)],[16869, 16868])).
% 6.76/5.03 tff(16871,plain,
% 6.76/5.03 (((~v1(constB183)) | (~v102(constB183))) | v1(constB183)),
% 6.76/5.03 inference(tautology,[status(thm)],[])).
% 6.76/5.03 tff(16872,plain,
% 6.76/5.03 ((~v1(constB183)) | (~v102(constB183))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16871, 16870])).
% 6.76/5.03 tff(16873,plain,
% 6.76/5.03 ((~(v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))) | (~v101(constB183)) | (~((~v1(constB183)) | (~v102(constB183))))),
% 6.76/5.03 inference(tautology,[status(thm)],[])).
% 6.76/5.03 tff(16874,plain,
% 6.76/5.03 ((~(v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))) | (~v101(constB183))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16873, 16872])).
% 6.76/5.03 tff(16875,plain,
% 6.76/5.03 (~v101(constB183)),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16874, 16867])).
% 6.76/5.03 tff(16876,plain,
% 6.76/5.03 (((~v101(constB183)) | (~v110(constB183))) | v101(constB183)),
% 6.76/5.03 inference(tautology,[status(thm)],[])).
% 6.76/5.03 tff(16877,plain,
% 6.76/5.03 ((~v101(constB183)) | (~v110(constB183))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16876, 16875])).
% 6.76/5.03 tff(16878,plain,
% 6.76/5.03 ((~(v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183)))))) | (~v100(constB183)) | (~((~v101(constB183)) | (~v110(constB183))))),
% 6.76/5.03 inference(tautology,[status(thm)],[])).
% 6.76/5.03 tff(16879,plain,
% 6.76/5.03 (~v100(constB183)),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16878, 16877, 16860])).
% 6.76/5.03 tff(16880,plain,
% 6.76/5.03 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 0)) <=> v90(constB182, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 0)) <=> v90(constB182, 0)))))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16881,plain,
% 6.76/5.03 ((v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 0)) <=> v90(constB182, 0))))) <=> (v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 0)) <=> v90(constB182, 0)))))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16882,plain,
% 6.76/5.03 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 0)) <=> v90(constB182, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 0)) <=> v90(constB182, 0))))))),
% 6.76/5.03 inference(monotonicity,[status(thm)],[16881])).
% 6.76/5.03 tff(16883,plain,
% 6.76/5.03 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 0)) <=> v90(constB182, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 0)) <=> v90(constB182, 0)))))),
% 6.76/5.03 inference(transitivity,[status(thm)],[16882, 16880])).
% 6.76/5.03 tff(16884,plain,
% 6.76/5.03 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 0)) <=> v90(constB182, 0)))))),
% 6.76/5.03 inference(quant_inst,[status(thm)],[])).
% 6.76/5.03 tff(16885,plain,
% 6.76/5.03 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 0)) <=> v90(constB182, 0))))),
% 6.76/5.03 inference(modus_ponens,[status(thm)],[16884, 16883])).
% 6.76/5.03 tff(16886,plain,
% 6.76/5.03 (v100(constB183) | (~(((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 0)) <=> v90(constB182, 0))))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16885, 16856, 325])).
% 6.76/5.03 tff(16887,plain,
% 6.76/5.03 (~(((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 0)) <=> v90(constB182, 0)))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16886, 16879])).
% 6.76/5.03 tff(16888,plain,
% 6.76/5.03 ((((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 0)) <=> v90(constB182, 0))) | (~((~v90(constB183, 2)) <=> v90(constB182, 2)))),
% 6.76/5.03 inference(tautology,[status(thm)],[])).
% 6.76/5.03 tff(16889,plain,
% 6.76/5.03 (~((~v90(constB183, 2)) <=> v90(constB182, 2))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16888, 16887])).
% 6.76/5.03 tff(16890,plain,
% 6.76/5.03 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16891,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_181')).
% 6.76/5.03 tff(16892,plain,
% 6.76/5.03 (nextState(constB181, constB182)),
% 6.76/5.03 inference(modus_ponens,[status(thm)],[16891, 16890])).
% 6.76/5.03 tff(16893,plain,
% 6.76/5.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB181, constB182)) | (~(((~v129(constB182, 2)) <=> v127(constB181, 2)) | ((~v129(constB182, 1)) <=> v127(constB181, 1)) | ((~v129(constB182, 0)) <=> v127(constB181, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB181, constB182)) | (~(((~v129(constB182, 2)) <=> v127(constB181, 2)) | ((~v129(constB182, 1)) <=> v127(constB181, 1)) | ((~v129(constB182, 0)) <=> v127(constB181, 0)))))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16894,plain,
% 6.76/5.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB181, constB182)) | (~(((~v129(constB182, 2)) <=> v127(constB181, 2)) | ((~v129(constB182, 1)) <=> v127(constB181, 1)) | ((~v129(constB182, 0)) <=> v127(constB181, 0)))))),
% 6.76/5.03 inference(quant_inst,[status(thm)],[])).
% 6.76/5.03 tff(16895,plain,
% 6.76/5.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB181, constB182)) | (~(((~v129(constB182, 2)) <=> v127(constB181, 2)) | ((~v129(constB182, 1)) <=> v127(constB181, 1)) | ((~v129(constB182, 0)) <=> v127(constB181, 0))))),
% 6.76/5.03 inference(modus_ponens,[status(thm)],[16894, 16893])).
% 6.76/5.03 tff(16896,plain,
% 6.76/5.03 (~(((~v129(constB182, 2)) <=> v127(constB181, 2)) | ((~v129(constB182, 1)) <=> v127(constB181, 1)) | ((~v129(constB182, 0)) <=> v127(constB181, 0)))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16895, 16892, 348])).
% 6.76/5.03 tff(16897,plain,
% 6.76/5.03 ((((~v129(constB182, 2)) <=> v127(constB181, 2)) | ((~v129(constB182, 1)) <=> v127(constB181, 1)) | ((~v129(constB182, 0)) <=> v127(constB181, 0))) | (~((~v129(constB182, 2)) <=> v127(constB181, 2)))),
% 6.76/5.03 inference(tautology,[status(thm)],[])).
% 6.76/5.03 tff(16898,plain,
% 6.76/5.03 (~((~v129(constB182, 2)) <=> v127(constB181, 2))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16897, 16896])).
% 6.76/5.03 tff(16899,plain,
% 6.76/5.03 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB181) <=> v26(constB181))),
% 6.76/5.03 inference(quant_inst,[status(thm)],[])).
% 6.76/5.03 tff(16900,plain,
% 6.76/5.03 (v111(constB181) <=> v26(constB181)),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16899, 367])).
% 6.76/5.03 tff(16901,plain,
% 6.76/5.03 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB181))),
% 6.76/5.03 inference(quant_inst,[status(thm)],[])).
% 6.76/5.03 tff(16902,plain,
% 6.76/5.03 (~v26(constB181)),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16901, 379])).
% 6.76/5.03 tff(16903,plain,
% 6.76/5.03 ((~(v111(constB181) <=> v26(constB181))) | (~v111(constB181)) | v26(constB181)),
% 6.76/5.03 inference(tautology,[status(thm)],[])).
% 6.76/5.03 tff(16904,plain,
% 6.76/5.03 ((~(v111(constB181) <=> v26(constB181))) | (~v111(constB181))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16903, 16902])).
% 6.76/5.03 tff(16905,plain,
% 6.76/5.03 (~v111(constB181)),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16904, 16900])).
% 6.76/5.03 tff(16906,plain,
% 6.76/5.03 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB181) | (~(((~v127(constB181, 2)) <=> v130(constB181, 2)) | ((~v127(constB181, 1)) <=> v130(constB181, 1)) | ((~v127(constB181, 0)) <=> v130(constB181, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB181) | (~(((~v127(constB181, 2)) <=> v130(constB181, 2)) | ((~v127(constB181, 1)) <=> v130(constB181, 1)) | ((~v127(constB181, 0)) <=> v130(constB181, 0)))))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16907,plain,
% 6.76/5.03 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB181) | (~(((~v127(constB181, 2)) <=> v130(constB181, 2)) | ((~v127(constB181, 1)) <=> v130(constB181, 1)) | ((~v127(constB181, 0)) <=> v130(constB181, 0)))))),
% 6.76/5.03 inference(quant_inst,[status(thm)],[])).
% 6.76/5.03 tff(16908,plain,
% 6.76/5.03 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB181) | (~(((~v127(constB181, 2)) <=> v130(constB181, 2)) | ((~v127(constB181, 1)) <=> v130(constB181, 1)) | ((~v127(constB181, 0)) <=> v130(constB181, 0))))),
% 6.76/5.03 inference(modus_ponens,[status(thm)],[16907, 16906])).
% 6.76/5.03 tff(16909,plain,
% 6.76/5.03 (v111(constB181) | (~(((~v127(constB181, 2)) <=> v130(constB181, 2)) | ((~v127(constB181, 1)) <=> v130(constB181, 1)) | ((~v127(constB181, 0)) <=> v130(constB181, 0))))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16908, 397])).
% 6.76/5.03 tff(16910,plain,
% 6.76/5.03 (~(((~v127(constB181, 2)) <=> v130(constB181, 2)) | ((~v127(constB181, 1)) <=> v130(constB181, 1)) | ((~v127(constB181, 0)) <=> v130(constB181, 0)))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16909, 16905])).
% 6.76/5.03 tff(16911,plain,
% 6.76/5.03 ((((~v127(constB181, 2)) <=> v130(constB181, 2)) | ((~v127(constB181, 1)) <=> v130(constB181, 1)) | ((~v127(constB181, 0)) <=> v130(constB181, 0))) | (~((~v127(constB181, 2)) <=> v130(constB181, 2)))),
% 6.76/5.03 inference(tautology,[status(thm)],[])).
% 6.76/5.03 tff(16912,plain,
% 6.76/5.03 (~((~v127(constB181, 2)) <=> v130(constB181, 2))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16911, 16910])).
% 6.76/5.03 tff(16913,plain,
% 6.76/5.03 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB181) <=> (~(v90(constB181, 2) | (~v90(constB181, 1)) | (~v90(constB181, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB181) <=> (~(v90(constB181, 2) | (~v90(constB181, 1)) | (~v90(constB181, 0))))))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16914,plain,
% 6.76/5.03 ((v122(constB181) <=> (~(v90(constB181, 2) | (~v90(constB181, 0)) | (~v90(constB181, 1))))) <=> (v122(constB181) <=> (~(v90(constB181, 2) | (~v90(constB181, 1)) | (~v90(constB181, 0)))))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16915,plain,
% 6.76/5.03 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB181) <=> (~(v90(constB181, 2) | (~v90(constB181, 0)) | (~v90(constB181, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB181) <=> (~(v90(constB181, 2) | (~v90(constB181, 1)) | (~v90(constB181, 0))))))),
% 6.76/5.03 inference(monotonicity,[status(thm)],[16914])).
% 6.76/5.03 tff(16916,plain,
% 6.76/5.03 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB181) <=> (~(v90(constB181, 2) | (~v90(constB181, 0)) | (~v90(constB181, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB181) <=> (~(v90(constB181, 2) | (~v90(constB181, 1)) | (~v90(constB181, 0))))))),
% 6.76/5.03 inference(transitivity,[status(thm)],[16915, 16913])).
% 6.76/5.03 tff(16917,plain,
% 6.76/5.03 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB181) <=> (~(v90(constB181, 2) | (~v90(constB181, 0)) | (~v90(constB181, 1)))))),
% 6.76/5.03 inference(quant_inst,[status(thm)],[])).
% 6.76/5.03 tff(16918,plain,
% 6.76/5.03 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB181) <=> (~(v90(constB181, 2) | (~v90(constB181, 1)) | (~v90(constB181, 0)))))),
% 6.76/5.03 inference(modus_ponens,[status(thm)],[16917, 16916])).
% 6.76/5.03 tff(16919,plain,
% 6.76/5.03 (v122(constB181) <=> (~(v90(constB181, 2) | (~v90(constB181, 1)) | (~v90(constB181, 0))))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16918, 644])).
% 6.76/5.03 tff(16920,plain,
% 6.76/5.03 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16921,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_180')).
% 6.76/5.03 tff(16922,plain,
% 6.76/5.03 (nextState(constB180, constB181)),
% 6.76/5.03 inference(modus_ponens,[status(thm)],[16921, 16920])).
% 6.76/5.03 tff(16923,plain,
% 6.76/5.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16924,plain,
% 6.76/5.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))))),
% 6.76/5.03 inference(quant_inst,[status(thm)],[])).
% 6.76/5.03 tff(16925,plain,
% 6.76/5.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181)))))),
% 6.76/5.03 inference(modus_ponens,[status(thm)],[16924, 16923])).
% 6.76/5.03 tff(16926,plain,
% 6.76/5.03 (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16925, 16922, 273])).
% 6.76/5.03 tff(16927,plain,
% 6.76/5.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16928,plain,
% 6.76/5.03 (((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181)))))) <=> ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.76/5.03 tff(16929,plain,
% 6.76/5.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))))),
% 6.76/5.03 inference(monotonicity,[status(thm)],[16928])).
% 6.76/5.03 tff(16930,plain,
% 6.76/5.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))),
% 6.76/5.03 inference(transitivity,[status(thm)],[16929, 16927])).
% 6.76/5.03 tff(16931,plain,
% 6.76/5.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181))))))),
% 6.76/5.03 inference(quant_inst,[status(thm)],[])).
% 6.76/5.03 tff(16932,plain,
% 6.76/5.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))),
% 6.76/5.03 inference(modus_ponens,[status(thm)],[16931, 16930])).
% 6.76/5.03 tff(16933,plain,
% 6.76/5.03 (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))),
% 6.76/5.03 inference(unit_resolution,[status(thm)],[16932, 16922, 293])).
% 6.76/5.03 tff(16934,plain,
% 6.76/5.03 ((~v1(constB181)) <=> (~v1(constB181))),
% 6.76/5.03 inference(rewrite,[status(thm)],[])).
% 6.85/5.03 tff(16935,axiom,(~v1(constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_181')).
% 6.85/5.03 tff(16936,plain,
% 6.85/5.03 (~v1(constB181)),
% 6.85/5.03 inference(modus_ponens,[status(thm)],[16935, 16934])).
% 6.85/5.03 tff(16937,plain,
% 6.85/5.03 (((~v1(constB181)) | (~v102(constB181))) | v1(constB181)),
% 6.85/5.03 inference(tautology,[status(thm)],[])).
% 6.85/5.03 tff(16938,plain,
% 6.85/5.03 ((~v1(constB181)) | (~v102(constB181))),
% 6.85/5.03 inference(unit_resolution,[status(thm)],[16937, 16936])).
% 6.85/5.03 tff(16939,plain,
% 6.85/5.03 ((~(v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))) | (~v101(constB181)) | (~((~v1(constB181)) | (~v102(constB181))))),
% 6.85/5.03 inference(tautology,[status(thm)],[])).
% 6.85/5.03 tff(16940,plain,
% 6.85/5.03 ((~(v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))) | (~v101(constB181))),
% 6.85/5.03 inference(unit_resolution,[status(thm)],[16939, 16938])).
% 6.85/5.03 tff(16941,plain,
% 6.85/5.03 (~v101(constB181)),
% 6.85/5.03 inference(unit_resolution,[status(thm)],[16940, 16933])).
% 6.85/5.03 tff(16942,plain,
% 6.85/5.03 (((~v101(constB181)) | (~v110(constB181))) | v101(constB181)),
% 6.85/5.03 inference(tautology,[status(thm)],[])).
% 6.85/5.03 tff(16943,plain,
% 6.85/5.03 ((~v101(constB181)) | (~v110(constB181))),
% 6.85/5.03 inference(unit_resolution,[status(thm)],[16942, 16941])).
% 6.85/5.03 tff(16944,plain,
% 6.85/5.03 ((~(v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181)))))) | (~v100(constB181)) | (~((~v101(constB181)) | (~v110(constB181))))),
% 6.85/5.03 inference(tautology,[status(thm)],[])).
% 6.85/5.03 tff(16945,plain,
% 6.85/5.03 (~v100(constB181)),
% 6.85/5.03 inference(unit_resolution,[status(thm)],[16944, 16943, 16926])).
% 6.85/5.03 tff(16946,plain,
% 6.85/5.03 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 0)) <=> v90(constB180, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 0)) <=> v90(constB180, 0)))))),
% 6.85/5.03 inference(rewrite,[status(thm)],[])).
% 6.85/5.03 tff(16947,plain,
% 6.85/5.03 ((v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 0)) <=> v90(constB180, 0))))) <=> (v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 0)) <=> v90(constB180, 0)))))),
% 6.85/5.03 inference(rewrite,[status(thm)],[])).
% 6.85/5.03 tff(16948,plain,
% 6.85/5.03 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 0)) <=> v90(constB180, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 0)) <=> v90(constB180, 0))))))),
% 6.85/5.03 inference(monotonicity,[status(thm)],[16947])).
% 6.85/5.03 tff(16949,plain,
% 6.85/5.03 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 0)) <=> v90(constB180, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 0)) <=> v90(constB180, 0)))))),
% 6.85/5.03 inference(transitivity,[status(thm)],[16948, 16946])).
% 6.85/5.03 tff(16950,plain,
% 6.85/5.03 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 0)) <=> v90(constB180, 0)))))),
% 6.85/5.03 inference(quant_inst,[status(thm)],[])).
% 6.85/5.03 tff(16951,plain,
% 6.85/5.03 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 0)) <=> v90(constB180, 0))))),
% 6.85/5.03 inference(modus_ponens,[status(thm)],[16950, 16949])).
% 6.85/5.03 tff(16952,plain,
% 6.85/5.03 (v100(constB181) | (~(((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 0)) <=> v90(constB180, 0))))),
% 6.85/5.03 inference(unit_resolution,[status(thm)],[16951, 16922, 325])).
% 6.85/5.03 tff(16953,plain,
% 6.85/5.03 (~(((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 0)) <=> v90(constB180, 0)))),
% 6.85/5.03 inference(unit_resolution,[status(thm)],[16952, 16945])).
% 6.85/5.03 tff(16954,plain,
% 6.85/5.03 ((((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 0)) <=> v90(constB180, 0))) | (~((~v90(constB181, 2)) <=> v90(constB180, 2)))),
% 6.85/5.03 inference(tautology,[status(thm)],[])).
% 6.85/5.03 tff(16955,plain,
% 6.85/5.03 (~((~v90(constB181, 2)) <=> v90(constB180, 2))),
% 6.85/5.03 inference(unit_resolution,[status(thm)],[16954, 16953])).
% 6.85/5.03 tff(16956,plain,
% 6.85/5.03 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 6.85/5.03 inference(rewrite,[status(thm)],[])).
% 6.85/5.03 tff(16957,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_179')).
% 6.85/5.03 tff(16958,plain,
% 6.85/5.03 (nextState(constB179, constB180)),
% 6.85/5.03 inference(modus_ponens,[status(thm)],[16957, 16956])).
% 6.85/5.03 tff(16959,plain,
% 6.85/5.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB179, constB180)) | (~(((~v129(constB180, 2)) <=> v127(constB179, 2)) | ((~v129(constB180, 1)) <=> v127(constB179, 1)) | ((~v129(constB180, 0)) <=> v127(constB179, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB179, constB180)) | (~(((~v129(constB180, 2)) <=> v127(constB179, 2)) | ((~v129(constB180, 1)) <=> v127(constB179, 1)) | ((~v129(constB180, 0)) <=> v127(constB179, 0)))))),
% 6.85/5.03 inference(rewrite,[status(thm)],[])).
% 6.85/5.03 tff(16960,plain,
% 6.85/5.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB179, constB180)) | (~(((~v129(constB180, 2)) <=> v127(constB179, 2)) | ((~v129(constB180, 1)) <=> v127(constB179, 1)) | ((~v129(constB180, 0)) <=> v127(constB179, 0)))))),
% 6.85/5.03 inference(quant_inst,[status(thm)],[])).
% 6.85/5.03 tff(16961,plain,
% 6.85/5.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB179, constB180)) | (~(((~v129(constB180, 2)) <=> v127(constB179, 2)) | ((~v129(constB180, 1)) <=> v127(constB179, 1)) | ((~v129(constB180, 0)) <=> v127(constB179, 0))))),
% 6.85/5.03 inference(modus_ponens,[status(thm)],[16960, 16959])).
% 6.85/5.03 tff(16962,plain,
% 6.85/5.03 (~(((~v129(constB180, 2)) <=> v127(constB179, 2)) | ((~v129(constB180, 1)) <=> v127(constB179, 1)) | ((~v129(constB180, 0)) <=> v127(constB179, 0)))),
% 6.85/5.03 inference(unit_resolution,[status(thm)],[16961, 16958, 348])).
% 6.85/5.03 tff(16963,plain,
% 6.85/5.03 ((((~v129(constB180, 2)) <=> v127(constB179, 2)) | ((~v129(constB180, 1)) <=> v127(constB179, 1)) | ((~v129(constB180, 0)) <=> v127(constB179, 0))) | (~((~v129(constB180, 2)) <=> v127(constB179, 2)))),
% 6.85/5.03 inference(tautology,[status(thm)],[])).
% 6.85/5.03 tff(16964,plain,
% 6.85/5.03 (~((~v129(constB180, 2)) <=> v127(constB179, 2))),
% 6.85/5.03 inference(unit_resolution,[status(thm)],[16963, 16962])).
% 6.85/5.03 tff(16965,plain,
% 6.85/5.03 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB179) <=> v26(constB179))),
% 6.85/5.03 inference(quant_inst,[status(thm)],[])).
% 6.85/5.03 tff(16966,plain,
% 6.85/5.03 (v111(constB179) <=> v26(constB179)),
% 6.85/5.03 inference(unit_resolution,[status(thm)],[16965, 367])).
% 6.85/5.03 tff(16967,plain,
% 6.85/5.03 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB179))),
% 6.85/5.03 inference(quant_inst,[status(thm)],[])).
% 6.85/5.03 tff(16968,plain,
% 6.85/5.03 (~v26(constB179)),
% 6.85/5.03 inference(unit_resolution,[status(thm)],[16967, 379])).
% 6.85/5.03 tff(16969,plain,
% 6.85/5.03 ((~(v111(constB179) <=> v26(constB179))) | (~v111(constB179)) | v26(constB179)),
% 6.85/5.03 inference(tautology,[status(thm)],[])).
% 6.85/5.03 tff(16970,plain,
% 6.85/5.03 ((~(v111(constB179) <=> v26(constB179))) | (~v111(constB179))),
% 6.85/5.03 inference(unit_resolution,[status(thm)],[16969, 16968])).
% 6.85/5.03 tff(16971,plain,
% 6.85/5.03 (~v111(constB179)),
% 6.85/5.03 inference(unit_resolution,[status(thm)],[16970, 16966])).
% 6.85/5.03 tff(16972,plain,
% 6.85/5.03 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB179) | (~(((~v127(constB179, 2)) <=> v130(constB179, 2)) | ((~v127(constB179, 1)) <=> v130(constB179, 1)) | ((~v127(constB179, 0)) <=> v130(constB179, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB179) | (~(((~v127(constB179, 2)) <=> v130(constB179, 2)) | ((~v127(constB179, 1)) <=> v130(constB179, 1)) | ((~v127(constB179, 0)) <=> v130(constB179, 0)))))),
% 6.85/5.03 inference(rewrite,[status(thm)],[])).
% 6.85/5.03 tff(16973,plain,
% 6.85/5.03 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB179) | (~(((~v127(constB179, 2)) <=> v130(constB179, 2)) | ((~v127(constB179, 1)) <=> v130(constB179, 1)) | ((~v127(constB179, 0)) <=> v130(constB179, 0)))))),
% 6.85/5.03 inference(quant_inst,[status(thm)],[])).
% 6.85/5.03 tff(16974,plain,
% 6.85/5.03 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB179) | (~(((~v127(constB179, 2)) <=> v130(constB179, 2)) | ((~v127(constB179, 1)) <=> v130(constB179, 1)) | ((~v127(constB179, 0)) <=> v130(constB179, 0))))),
% 6.85/5.03 inference(modus_ponens,[status(thm)],[16973, 16972])).
% 6.85/5.03 tff(16975,plain,
% 6.85/5.03 (v111(constB179) | (~(((~v127(constB179, 2)) <=> v130(constB179, 2)) | ((~v127(constB179, 1)) <=> v130(constB179, 1)) | ((~v127(constB179, 0)) <=> v130(constB179, 0))))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[16974, 397])).
% 6.85/5.04 tff(16976,plain,
% 6.85/5.04 (~(((~v127(constB179, 2)) <=> v130(constB179, 2)) | ((~v127(constB179, 1)) <=> v130(constB179, 1)) | ((~v127(constB179, 0)) <=> v130(constB179, 0)))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[16975, 16971])).
% 6.85/5.04 tff(16977,plain,
% 6.85/5.04 ((((~v127(constB179, 2)) <=> v130(constB179, 2)) | ((~v127(constB179, 1)) <=> v130(constB179, 1)) | ((~v127(constB179, 0)) <=> v130(constB179, 0))) | (~((~v127(constB179, 2)) <=> v130(constB179, 2)))),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(16978,plain,
% 6.85/5.04 (~((~v127(constB179, 2)) <=> v130(constB179, 2))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[16977, 16976])).
% 6.85/5.04 tff(16979,plain,
% 6.85/5.04 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB179) <=> (~(v90(constB179, 2) | v90(constB179, 0) | (~v90(constB179, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB179) <=> (~(v90(constB179, 2) | v90(constB179, 0) | (~v90(constB179, 1))))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(16980,plain,
% 6.85/5.04 ((v121(constB179) <=> (~(v90(constB179, 0) | v90(constB179, 2) | (~v90(constB179, 1))))) <=> (v121(constB179) <=> (~(v90(constB179, 2) | v90(constB179, 0) | (~v90(constB179, 1)))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(16981,plain,
% 6.85/5.04 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB179) <=> (~(v90(constB179, 0) | v90(constB179, 2) | (~v90(constB179, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB179) <=> (~(v90(constB179, 2) | v90(constB179, 0) | (~v90(constB179, 1))))))),
% 6.85/5.04 inference(monotonicity,[status(thm)],[16980])).
% 6.85/5.04 tff(16982,plain,
% 6.85/5.04 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB179) <=> (~(v90(constB179, 0) | v90(constB179, 2) | (~v90(constB179, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB179) <=> (~(v90(constB179, 2) | v90(constB179, 0) | (~v90(constB179, 1))))))),
% 6.85/5.04 inference(transitivity,[status(thm)],[16981, 16979])).
% 6.85/5.04 tff(16983,plain,
% 6.85/5.04 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB179) <=> (~(v90(constB179, 0) | v90(constB179, 2) | (~v90(constB179, 1)))))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(16984,plain,
% 6.85/5.04 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB179) <=> (~(v90(constB179, 2) | v90(constB179, 0) | (~v90(constB179, 1)))))),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[16983, 16982])).
% 6.85/5.04 tff(16985,plain,
% 6.85/5.04 (v121(constB179) <=> (~(v90(constB179, 2) | v90(constB179, 0) | (~v90(constB179, 1))))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[16984, 723])).
% 6.85/5.04 tff(16986,plain,
% 6.85/5.04 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(16987,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_178')).
% 6.85/5.04 tff(16988,plain,
% 6.85/5.04 (nextState(constB178, constB179)),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[16987, 16986])).
% 6.85/5.04 tff(16989,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(16990,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(16991,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179)))))),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[16990, 16989])).
% 6.85/5.04 tff(16992,plain,
% 6.85/5.04 (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[16991, 16988, 273])).
% 6.85/5.04 tff(16993,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(16994,plain,
% 6.85/5.04 (((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179)))))) <=> ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(16995,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))))),
% 6.85/5.04 inference(monotonicity,[status(thm)],[16994])).
% 6.85/5.04 tff(16996,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))),
% 6.85/5.04 inference(transitivity,[status(thm)],[16995, 16993])).
% 6.85/5.04 tff(16997,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179))))))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(16998,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[16997, 16996])).
% 6.85/5.04 tff(16999,plain,
% 6.85/5.04 (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[16998, 16988, 293])).
% 6.85/5.04 tff(17000,plain,
% 6.85/5.04 ((~v1(constB179)) <=> (~v1(constB179))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17001,axiom,(~v1(constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_179')).
% 6.85/5.04 tff(17002,plain,
% 6.85/5.04 (~v1(constB179)),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[17001, 17000])).
% 6.85/5.04 tff(17003,plain,
% 6.85/5.04 (((~v1(constB179)) | (~v102(constB179))) | v1(constB179)),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17004,plain,
% 6.85/5.04 ((~v1(constB179)) | (~v102(constB179))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17003, 17002])).
% 6.85/5.04 tff(17005,plain,
% 6.85/5.04 ((~(v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))) | (~v101(constB179)) | (~((~v1(constB179)) | (~v102(constB179))))),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17006,plain,
% 6.85/5.04 ((~(v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))) | (~v101(constB179))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17005, 17004])).
% 6.85/5.04 tff(17007,plain,
% 6.85/5.04 (~v101(constB179)),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17006, 16999])).
% 6.85/5.04 tff(17008,plain,
% 6.85/5.04 (((~v101(constB179)) | (~v110(constB179))) | v101(constB179)),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17009,plain,
% 6.85/5.04 ((~v101(constB179)) | (~v110(constB179))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17008, 17007])).
% 6.85/5.04 tff(17010,plain,
% 6.85/5.04 ((~(v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179)))))) | (~v100(constB179)) | (~((~v101(constB179)) | (~v110(constB179))))),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17011,plain,
% 6.85/5.04 (~v100(constB179)),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17010, 17009, 16992])).
% 6.85/5.04 tff(17012,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 0)) <=> v90(constB178, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 0)) <=> v90(constB178, 0)))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17013,plain,
% 6.85/5.04 ((v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 0)) <=> v90(constB178, 0))))) <=> (v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 0)) <=> v90(constB178, 0)))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17014,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 0)) <=> v90(constB178, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 0)) <=> v90(constB178, 0))))))),
% 6.85/5.04 inference(monotonicity,[status(thm)],[17013])).
% 6.85/5.04 tff(17015,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 0)) <=> v90(constB178, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 0)) <=> v90(constB178, 0)))))),
% 6.85/5.04 inference(transitivity,[status(thm)],[17014, 17012])).
% 6.85/5.04 tff(17016,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 0)) <=> v90(constB178, 0)))))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17017,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 0)) <=> v90(constB178, 0))))),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[17016, 17015])).
% 6.85/5.04 tff(17018,plain,
% 6.85/5.04 (v100(constB179) | (~(((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 0)) <=> v90(constB178, 0))))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17017, 16988, 325])).
% 6.85/5.04 tff(17019,plain,
% 6.85/5.04 (~(((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 0)) <=> v90(constB178, 0)))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17018, 17011])).
% 6.85/5.04 tff(17020,plain,
% 6.85/5.04 ((((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 0)) <=> v90(constB178, 0))) | (~((~v90(constB179, 2)) <=> v90(constB178, 2)))),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17021,plain,
% 6.85/5.04 (~((~v90(constB179, 2)) <=> v90(constB178, 2))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17020, 17019])).
% 6.85/5.04 tff(17022,plain,
% 6.85/5.04 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17023,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_177')).
% 6.85/5.04 tff(17024,plain,
% 6.85/5.04 (nextState(constB177, constB178)),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[17023, 17022])).
% 6.85/5.04 tff(17025,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB177, constB178)) | (~(((~v129(constB178, 2)) <=> v127(constB177, 2)) | ((~v129(constB178, 1)) <=> v127(constB177, 1)) | ((~v129(constB178, 0)) <=> v127(constB177, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB177, constB178)) | (~(((~v129(constB178, 2)) <=> v127(constB177, 2)) | ((~v129(constB178, 1)) <=> v127(constB177, 1)) | ((~v129(constB178, 0)) <=> v127(constB177, 0)))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17026,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB177, constB178)) | (~(((~v129(constB178, 2)) <=> v127(constB177, 2)) | ((~v129(constB178, 1)) <=> v127(constB177, 1)) | ((~v129(constB178, 0)) <=> v127(constB177, 0)))))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17027,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB177, constB178)) | (~(((~v129(constB178, 2)) <=> v127(constB177, 2)) | ((~v129(constB178, 1)) <=> v127(constB177, 1)) | ((~v129(constB178, 0)) <=> v127(constB177, 0))))),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[17026, 17025])).
% 6.85/5.04 tff(17028,plain,
% 6.85/5.04 (~(((~v129(constB178, 2)) <=> v127(constB177, 2)) | ((~v129(constB178, 1)) <=> v127(constB177, 1)) | ((~v129(constB178, 0)) <=> v127(constB177, 0)))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17027, 17024, 348])).
% 6.85/5.04 tff(17029,plain,
% 6.85/5.04 ((((~v129(constB178, 2)) <=> v127(constB177, 2)) | ((~v129(constB178, 1)) <=> v127(constB177, 1)) | ((~v129(constB178, 0)) <=> v127(constB177, 0))) | (~((~v129(constB178, 2)) <=> v127(constB177, 2)))),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17030,plain,
% 6.85/5.04 (~((~v129(constB178, 2)) <=> v127(constB177, 2))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17029, 17028])).
% 6.85/5.04 tff(17031,plain,
% 6.85/5.04 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB177) <=> v26(constB177))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17032,plain,
% 6.85/5.04 (v111(constB177) <=> v26(constB177)),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17031, 367])).
% 6.85/5.04 tff(17033,plain,
% 6.85/5.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB177))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17034,plain,
% 6.85/5.04 (~v26(constB177)),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17033, 379])).
% 6.85/5.04 tff(17035,plain,
% 6.85/5.04 ((~(v111(constB177) <=> v26(constB177))) | (~v111(constB177)) | v26(constB177)),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17036,plain,
% 6.85/5.04 ((~(v111(constB177) <=> v26(constB177))) | (~v111(constB177))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17035, 17034])).
% 6.85/5.04 tff(17037,plain,
% 6.85/5.04 (~v111(constB177)),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17036, 17032])).
% 6.85/5.04 tff(17038,plain,
% 6.85/5.04 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB177) | (~(((~v127(constB177, 2)) <=> v130(constB177, 2)) | ((~v127(constB177, 1)) <=> v130(constB177, 1)) | ((~v127(constB177, 0)) <=> v130(constB177, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB177) | (~(((~v127(constB177, 2)) <=> v130(constB177, 2)) | ((~v127(constB177, 1)) <=> v130(constB177, 1)) | ((~v127(constB177, 0)) <=> v130(constB177, 0)))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17039,plain,
% 6.85/5.04 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB177) | (~(((~v127(constB177, 2)) <=> v130(constB177, 2)) | ((~v127(constB177, 1)) <=> v130(constB177, 1)) | ((~v127(constB177, 0)) <=> v130(constB177, 0)))))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17040,plain,
% 6.85/5.04 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB177) | (~(((~v127(constB177, 2)) <=> v130(constB177, 2)) | ((~v127(constB177, 1)) <=> v130(constB177, 1)) | ((~v127(constB177, 0)) <=> v130(constB177, 0))))),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[17039, 17038])).
% 6.85/5.04 tff(17041,plain,
% 6.85/5.04 (v111(constB177) | (~(((~v127(constB177, 2)) <=> v130(constB177, 2)) | ((~v127(constB177, 1)) <=> v130(constB177, 1)) | ((~v127(constB177, 0)) <=> v130(constB177, 0))))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17040, 397])).
% 6.85/5.04 tff(17042,plain,
% 6.85/5.04 (~(((~v127(constB177, 2)) <=> v130(constB177, 2)) | ((~v127(constB177, 1)) <=> v130(constB177, 1)) | ((~v127(constB177, 0)) <=> v130(constB177, 0)))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17041, 17037])).
% 6.85/5.04 tff(17043,plain,
% 6.85/5.04 ((((~v127(constB177, 2)) <=> v130(constB177, 2)) | ((~v127(constB177, 1)) <=> v130(constB177, 1)) | ((~v127(constB177, 0)) <=> v130(constB177, 0))) | (~((~v127(constB177, 2)) <=> v130(constB177, 2)))),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17044,plain,
% 6.85/5.04 (~((~v127(constB177, 2)) <=> v130(constB177, 2))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17043, 17042])).
% 6.85/5.04 tff(17045,plain,
% 6.85/5.04 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB177) <=> (~(v90(constB177, 1) | v90(constB177, 2) | (~v90(constB177, 0)))))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17046,plain,
% 6.85/5.04 (v120(constB177) <=> (~(v90(constB177, 1) | v90(constB177, 2) | (~v90(constB177, 0))))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17045, 417])).
% 6.85/5.04 tff(17047,plain,
% 6.85/5.04 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17048,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_176')).
% 6.85/5.04 tff(17049,plain,
% 6.85/5.04 (nextState(constB176, constB177)),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[17048, 17047])).
% 6.85/5.04 tff(17050,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17051,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17052,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177)))))),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[17051, 17050])).
% 6.85/5.04 tff(17053,plain,
% 6.85/5.04 (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17052, 17049, 273])).
% 6.85/5.04 tff(17054,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17055,plain,
% 6.85/5.04 (((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177)))))) <=> ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17056,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))))),
% 6.85/5.04 inference(monotonicity,[status(thm)],[17055])).
% 6.85/5.04 tff(17057,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))),
% 6.85/5.04 inference(transitivity,[status(thm)],[17056, 17054])).
% 6.85/5.04 tff(17058,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177))))))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17059,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[17058, 17057])).
% 6.85/5.04 tff(17060,plain,
% 6.85/5.04 (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17059, 17049, 293])).
% 6.85/5.04 tff(17061,plain,
% 6.85/5.04 ((~v1(constB177)) <=> (~v1(constB177))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17062,axiom,(~v1(constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_177')).
% 6.85/5.04 tff(17063,plain,
% 6.85/5.04 (~v1(constB177)),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[17062, 17061])).
% 6.85/5.04 tff(17064,plain,
% 6.85/5.04 (((~v1(constB177)) | (~v102(constB177))) | v1(constB177)),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17065,plain,
% 6.85/5.04 ((~v1(constB177)) | (~v102(constB177))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17064, 17063])).
% 6.85/5.04 tff(17066,plain,
% 6.85/5.04 ((~(v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))) | (~v101(constB177)) | (~((~v1(constB177)) | (~v102(constB177))))),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17067,plain,
% 6.85/5.04 ((~(v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))) | (~v101(constB177))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17066, 17065])).
% 6.85/5.04 tff(17068,plain,
% 6.85/5.04 (~v101(constB177)),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17067, 17060])).
% 6.85/5.04 tff(17069,plain,
% 6.85/5.04 (((~v101(constB177)) | (~v110(constB177))) | v101(constB177)),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17070,plain,
% 6.85/5.04 ((~v101(constB177)) | (~v110(constB177))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17069, 17068])).
% 6.85/5.04 tff(17071,plain,
% 6.85/5.04 ((~(v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177)))))) | (~v100(constB177)) | (~((~v101(constB177)) | (~v110(constB177))))),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17072,plain,
% 6.85/5.04 (~v100(constB177)),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17071, 17070, 17053])).
% 6.85/5.04 tff(17073,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 0)) <=> v90(constB176, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 0)) <=> v90(constB176, 0)))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17074,plain,
% 6.85/5.04 ((v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 0)) <=> v90(constB176, 0))))) <=> (v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 0)) <=> v90(constB176, 0)))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17075,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 0)) <=> v90(constB176, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 0)) <=> v90(constB176, 0))))))),
% 6.85/5.04 inference(monotonicity,[status(thm)],[17074])).
% 6.85/5.04 tff(17076,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 0)) <=> v90(constB176, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 0)) <=> v90(constB176, 0)))))),
% 6.85/5.04 inference(transitivity,[status(thm)],[17075, 17073])).
% 6.85/5.04 tff(17077,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 0)) <=> v90(constB176, 0)))))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17078,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 0)) <=> v90(constB176, 0))))),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[17077, 17076])).
% 6.85/5.04 tff(17079,plain,
% 6.85/5.04 (v100(constB177) | (~(((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 0)) <=> v90(constB176, 0))))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17078, 17049, 325])).
% 6.85/5.04 tff(17080,plain,
% 6.85/5.04 (~(((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 0)) <=> v90(constB176, 0)))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17079, 17072])).
% 6.85/5.04 tff(17081,plain,
% 6.85/5.04 ((((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 0)) <=> v90(constB176, 0))) | (~((~v90(constB177, 2)) <=> v90(constB176, 2)))),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17082,plain,
% 6.85/5.04 (~((~v90(constB177, 2)) <=> v90(constB176, 2))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17081, 17080])).
% 6.85/5.04 tff(17083,plain,
% 6.85/5.04 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17084,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_175')).
% 6.85/5.04 tff(17085,plain,
% 6.85/5.04 (nextState(constB175, constB176)),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[17084, 17083])).
% 6.85/5.04 tff(17086,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB175, constB176)) | (~(((~v129(constB176, 2)) <=> v127(constB175, 2)) | ((~v129(constB176, 1)) <=> v127(constB175, 1)) | ((~v129(constB176, 0)) <=> v127(constB175, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB175, constB176)) | (~(((~v129(constB176, 2)) <=> v127(constB175, 2)) | ((~v129(constB176, 1)) <=> v127(constB175, 1)) | ((~v129(constB176, 0)) <=> v127(constB175, 0)))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17087,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB175, constB176)) | (~(((~v129(constB176, 2)) <=> v127(constB175, 2)) | ((~v129(constB176, 1)) <=> v127(constB175, 1)) | ((~v129(constB176, 0)) <=> v127(constB175, 0)))))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17088,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB175, constB176)) | (~(((~v129(constB176, 2)) <=> v127(constB175, 2)) | ((~v129(constB176, 1)) <=> v127(constB175, 1)) | ((~v129(constB176, 0)) <=> v127(constB175, 0))))),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[17087, 17086])).
% 6.85/5.04 tff(17089,plain,
% 6.85/5.04 (~(((~v129(constB176, 2)) <=> v127(constB175, 2)) | ((~v129(constB176, 1)) <=> v127(constB175, 1)) | ((~v129(constB176, 0)) <=> v127(constB175, 0)))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17088, 17085, 348])).
% 6.85/5.04 tff(17090,plain,
% 6.85/5.04 ((((~v129(constB176, 2)) <=> v127(constB175, 2)) | ((~v129(constB176, 1)) <=> v127(constB175, 1)) | ((~v129(constB176, 0)) <=> v127(constB175, 0))) | (~((~v129(constB176, 2)) <=> v127(constB175, 2)))),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17091,plain,
% 6.85/5.04 (~((~v129(constB176, 2)) <=> v127(constB175, 2))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17090, 17089])).
% 6.85/5.04 tff(17092,plain,
% 6.85/5.04 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB175) <=> v26(constB175))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17093,plain,
% 6.85/5.04 (v111(constB175) <=> v26(constB175)),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17092, 367])).
% 6.85/5.04 tff(17094,plain,
% 6.85/5.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB175))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17095,plain,
% 6.85/5.04 (~v26(constB175)),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17094, 379])).
% 6.85/5.04 tff(17096,plain,
% 6.85/5.04 ((~(v111(constB175) <=> v26(constB175))) | (~v111(constB175)) | v26(constB175)),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17097,plain,
% 6.85/5.04 ((~(v111(constB175) <=> v26(constB175))) | (~v111(constB175))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17096, 17095])).
% 6.85/5.04 tff(17098,plain,
% 6.85/5.04 (~v111(constB175)),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17097, 17093])).
% 6.85/5.04 tff(17099,plain,
% 6.85/5.04 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB175) | (~(((~v127(constB175, 2)) <=> v130(constB175, 2)) | ((~v127(constB175, 1)) <=> v130(constB175, 1)) | ((~v127(constB175, 0)) <=> v130(constB175, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB175) | (~(((~v127(constB175, 2)) <=> v130(constB175, 2)) | ((~v127(constB175, 1)) <=> v130(constB175, 1)) | ((~v127(constB175, 0)) <=> v130(constB175, 0)))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17100,plain,
% 6.85/5.04 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB175) | (~(((~v127(constB175, 2)) <=> v130(constB175, 2)) | ((~v127(constB175, 1)) <=> v130(constB175, 1)) | ((~v127(constB175, 0)) <=> v130(constB175, 0)))))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17101,plain,
% 6.85/5.04 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB175) | (~(((~v127(constB175, 2)) <=> v130(constB175, 2)) | ((~v127(constB175, 1)) <=> v130(constB175, 1)) | ((~v127(constB175, 0)) <=> v130(constB175, 0))))),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[17100, 17099])).
% 6.85/5.04 tff(17102,plain,
% 6.85/5.04 (v111(constB175) | (~(((~v127(constB175, 2)) <=> v130(constB175, 2)) | ((~v127(constB175, 1)) <=> v130(constB175, 1)) | ((~v127(constB175, 0)) <=> v130(constB175, 0))))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17101, 397])).
% 6.85/5.04 tff(17103,plain,
% 6.85/5.04 (~(((~v127(constB175, 2)) <=> v130(constB175, 2)) | ((~v127(constB175, 1)) <=> v130(constB175, 1)) | ((~v127(constB175, 0)) <=> v130(constB175, 0)))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17102, 17098])).
% 6.85/5.04 tff(17104,plain,
% 6.85/5.04 ((((~v127(constB175, 2)) <=> v130(constB175, 2)) | ((~v127(constB175, 1)) <=> v130(constB175, 1)) | ((~v127(constB175, 0)) <=> v130(constB175, 0))) | (~((~v127(constB175, 2)) <=> v130(constB175, 2)))),
% 6.85/5.04 inference(tautology,[status(thm)],[])).
% 6.85/5.04 tff(17105,plain,
% 6.85/5.04 (~((~v127(constB175, 2)) <=> v130(constB175, 2))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17104, 17103])).
% 6.85/5.04 tff(17106,plain,
% 6.85/5.04 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB175) <=> (~(v90(constB175, 1) | v90(constB175, 2) | (~v90(constB175, 0)))))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17107,plain,
% 6.85/5.04 (v120(constB175) <=> (~(v90(constB175, 1) | v90(constB175, 2) | (~v90(constB175, 0))))),
% 6.85/5.04 inference(unit_resolution,[status(thm)],[17106, 417])).
% 6.85/5.04 tff(17108,plain,
% 6.85/5.04 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17109,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_174')).
% 6.85/5.04 tff(17110,plain,
% 6.85/5.04 (nextState(constB174, constB175)),
% 6.85/5.04 inference(modus_ponens,[status(thm)],[17109, 17108])).
% 6.85/5.04 tff(17111,plain,
% 6.85/5.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))))),
% 6.85/5.04 inference(rewrite,[status(thm)],[])).
% 6.85/5.04 tff(17112,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))))),
% 6.85/5.04 inference(quant_inst,[status(thm)],[])).
% 6.85/5.04 tff(17113,plain,
% 6.85/5.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175)))))),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17112, 17111])).
% 6.85/5.05 tff(17114,plain,
% 6.85/5.05 (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17113, 17110, 273])).
% 6.85/5.05 tff(17115,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17116,plain,
% 6.85/5.05 (((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175)))))) <=> ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17117,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))))),
% 6.85/5.05 inference(monotonicity,[status(thm)],[17116])).
% 6.85/5.05 tff(17118,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))),
% 6.85/5.05 inference(transitivity,[status(thm)],[17117, 17115])).
% 6.85/5.05 tff(17119,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175))))))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17120,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17119, 17118])).
% 6.85/5.05 tff(17121,plain,
% 6.85/5.05 (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17120, 17110, 293])).
% 6.85/5.05 tff(17122,plain,
% 6.85/5.05 ((~v1(constB175)) <=> (~v1(constB175))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17123,axiom,(~v1(constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_175')).
% 6.85/5.05 tff(17124,plain,
% 6.85/5.05 (~v1(constB175)),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17123, 17122])).
% 6.85/5.05 tff(17125,plain,
% 6.85/5.05 (((~v1(constB175)) | (~v102(constB175))) | v1(constB175)),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17126,plain,
% 6.85/5.05 ((~v1(constB175)) | (~v102(constB175))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17125, 17124])).
% 6.85/5.05 tff(17127,plain,
% 6.85/5.05 ((~(v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))) | (~v101(constB175)) | (~((~v1(constB175)) | (~v102(constB175))))),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17128,plain,
% 6.85/5.05 ((~(v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))) | (~v101(constB175))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17127, 17126])).
% 6.85/5.05 tff(17129,plain,
% 6.85/5.05 (~v101(constB175)),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17128, 17121])).
% 6.85/5.05 tff(17130,plain,
% 6.85/5.05 (((~v101(constB175)) | (~v110(constB175))) | v101(constB175)),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17131,plain,
% 6.85/5.05 ((~v101(constB175)) | (~v110(constB175))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17130, 17129])).
% 6.85/5.05 tff(17132,plain,
% 6.85/5.05 ((~(v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175)))))) | (~v100(constB175)) | (~((~v101(constB175)) | (~v110(constB175))))),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17133,plain,
% 6.85/5.05 (~v100(constB175)),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17132, 17131, 17114])).
% 6.85/5.05 tff(17134,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 0)) <=> v90(constB174, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 0)) <=> v90(constB174, 0)))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17135,plain,
% 6.85/5.05 ((v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 0)) <=> v90(constB174, 0))))) <=> (v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 0)) <=> v90(constB174, 0)))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17136,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 0)) <=> v90(constB174, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 0)) <=> v90(constB174, 0))))))),
% 6.85/5.05 inference(monotonicity,[status(thm)],[17135])).
% 6.85/5.05 tff(17137,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 0)) <=> v90(constB174, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 0)) <=> v90(constB174, 0)))))),
% 6.85/5.05 inference(transitivity,[status(thm)],[17136, 17134])).
% 6.85/5.05 tff(17138,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 0)) <=> v90(constB174, 0)))))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17139,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 0)) <=> v90(constB174, 0))))),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17138, 17137])).
% 6.85/5.05 tff(17140,plain,
% 6.85/5.05 (v100(constB175) | (~(((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 0)) <=> v90(constB174, 0))))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17139, 17110, 325])).
% 6.85/5.05 tff(17141,plain,
% 6.85/5.05 (~(((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 0)) <=> v90(constB174, 0)))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17140, 17133])).
% 6.85/5.05 tff(17142,plain,
% 6.85/5.05 ((((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 0)) <=> v90(constB174, 0))) | (~((~v90(constB175, 0)) <=> v90(constB174, 0)))),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17143,plain,
% 6.85/5.05 (~((~v90(constB175, 0)) <=> v90(constB174, 0))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17142, 17141])).
% 6.85/5.05 tff(17144,plain,
% 6.85/5.05 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17145,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_173')).
% 6.85/5.05 tff(17146,plain,
% 6.85/5.05 (nextState(constB173, constB174)),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17145, 17144])).
% 6.85/5.05 tff(17147,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB173, constB174)) | (~(((~v129(constB174, 2)) <=> v127(constB173, 2)) | ((~v129(constB174, 1)) <=> v127(constB173, 1)) | ((~v129(constB174, 0)) <=> v127(constB173, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB173, constB174)) | (~(((~v129(constB174, 2)) <=> v127(constB173, 2)) | ((~v129(constB174, 1)) <=> v127(constB173, 1)) | ((~v129(constB174, 0)) <=> v127(constB173, 0)))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17148,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB173, constB174)) | (~(((~v129(constB174, 2)) <=> v127(constB173, 2)) | ((~v129(constB174, 1)) <=> v127(constB173, 1)) | ((~v129(constB174, 0)) <=> v127(constB173, 0)))))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17149,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB173, constB174)) | (~(((~v129(constB174, 2)) <=> v127(constB173, 2)) | ((~v129(constB174, 1)) <=> v127(constB173, 1)) | ((~v129(constB174, 0)) <=> v127(constB173, 0))))),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17148, 17147])).
% 6.85/5.05 tff(17150,plain,
% 6.85/5.05 (~(((~v129(constB174, 2)) <=> v127(constB173, 2)) | ((~v129(constB174, 1)) <=> v127(constB173, 1)) | ((~v129(constB174, 0)) <=> v127(constB173, 0)))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17149, 17146, 348])).
% 6.85/5.05 tff(17151,plain,
% 6.85/5.05 ((((~v129(constB174, 2)) <=> v127(constB173, 2)) | ((~v129(constB174, 1)) <=> v127(constB173, 1)) | ((~v129(constB174, 0)) <=> v127(constB173, 0))) | (~((~v129(constB174, 0)) <=> v127(constB173, 0)))),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17152,plain,
% 6.85/5.05 (~((~v129(constB174, 0)) <=> v127(constB173, 0))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17151, 17150])).
% 6.85/5.05 tff(17153,plain,
% 6.85/5.05 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB173) <=> v26(constB173))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17154,plain,
% 6.85/5.05 (v111(constB173) <=> v26(constB173)),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17153, 367])).
% 6.85/5.05 tff(17155,plain,
% 6.85/5.05 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB173))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17156,plain,
% 6.85/5.05 (~v26(constB173)),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17155, 379])).
% 6.85/5.05 tff(17157,plain,
% 6.85/5.05 ((~(v111(constB173) <=> v26(constB173))) | (~v111(constB173)) | v26(constB173)),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17158,plain,
% 6.85/5.05 ((~(v111(constB173) <=> v26(constB173))) | (~v111(constB173))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17157, 17156])).
% 6.85/5.05 tff(17159,plain,
% 6.85/5.05 (~v111(constB173)),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17158, 17154])).
% 6.85/5.05 tff(17160,plain,
% 6.85/5.05 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB173) | (~(((~v127(constB173, 2)) <=> v130(constB173, 2)) | ((~v127(constB173, 1)) <=> v130(constB173, 1)) | ((~v127(constB173, 0)) <=> v130(constB173, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB173) | (~(((~v127(constB173, 2)) <=> v130(constB173, 2)) | ((~v127(constB173, 1)) <=> v130(constB173, 1)) | ((~v127(constB173, 0)) <=> v130(constB173, 0)))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17161,plain,
% 6.85/5.05 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB173) | (~(((~v127(constB173, 2)) <=> v130(constB173, 2)) | ((~v127(constB173, 1)) <=> v130(constB173, 1)) | ((~v127(constB173, 0)) <=> v130(constB173, 0)))))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17162,plain,
% 6.85/5.05 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB173) | (~(((~v127(constB173, 2)) <=> v130(constB173, 2)) | ((~v127(constB173, 1)) <=> v130(constB173, 1)) | ((~v127(constB173, 0)) <=> v130(constB173, 0))))),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17161, 17160])).
% 6.85/5.05 tff(17163,plain,
% 6.85/5.05 (v111(constB173) | (~(((~v127(constB173, 2)) <=> v130(constB173, 2)) | ((~v127(constB173, 1)) <=> v130(constB173, 1)) | ((~v127(constB173, 0)) <=> v130(constB173, 0))))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17162, 397])).
% 6.85/5.05 tff(17164,plain,
% 6.85/5.05 (~(((~v127(constB173, 2)) <=> v130(constB173, 2)) | ((~v127(constB173, 1)) <=> v130(constB173, 1)) | ((~v127(constB173, 0)) <=> v130(constB173, 0)))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17163, 17159])).
% 6.85/5.05 tff(17165,plain,
% 6.85/5.05 ((((~v127(constB173, 2)) <=> v130(constB173, 2)) | ((~v127(constB173, 1)) <=> v130(constB173, 1)) | ((~v127(constB173, 0)) <=> v130(constB173, 0))) | (~((~v127(constB173, 0)) <=> v130(constB173, 0)))),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17166,plain,
% 6.85/5.05 (~((~v127(constB173, 0)) <=> v130(constB173, 0))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17165, 17164])).
% 6.85/5.05 tff(17167,plain,
% 6.85/5.05 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB173) <=> (~(v90(constB173, 1) | v90(constB173, 0) | (~v90(constB173, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB173) <=> (~(v90(constB173, 1) | v90(constB173, 0) | (~v90(constB173, 2))))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17168,plain,
% 6.85/5.05 ((v123(constB173) <=> (~(v90(constB173, 0) | v90(constB173, 1) | (~v90(constB173, 2))))) <=> (v123(constB173) <=> (~(v90(constB173, 1) | v90(constB173, 0) | (~v90(constB173, 2)))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17169,plain,
% 6.85/5.05 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB173) <=> (~(v90(constB173, 0) | v90(constB173, 1) | (~v90(constB173, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB173) <=> (~(v90(constB173, 1) | v90(constB173, 0) | (~v90(constB173, 2))))))),
% 6.85/5.05 inference(monotonicity,[status(thm)],[17168])).
% 6.85/5.05 tff(17170,plain,
% 6.85/5.05 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB173) <=> (~(v90(constB173, 0) | v90(constB173, 1) | (~v90(constB173, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB173) <=> (~(v90(constB173, 1) | v90(constB173, 0) | (~v90(constB173, 2))))))),
% 6.85/5.05 inference(transitivity,[status(thm)],[17169, 17167])).
% 6.85/5.05 tff(17171,plain,
% 6.85/5.05 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB173) <=> (~(v90(constB173, 0) | v90(constB173, 1) | (~v90(constB173, 2)))))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17172,plain,
% 6.85/5.05 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB173) <=> (~(v90(constB173, 1) | v90(constB173, 0) | (~v90(constB173, 2)))))),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17171, 17170])).
% 6.85/5.05 tff(17173,plain,
% 6.85/5.05 (v123(constB173) <=> (~(v90(constB173, 1) | v90(constB173, 0) | (~v90(constB173, 2))))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17172, 565])).
% 6.85/5.05 tff(17174,plain,
% 6.85/5.05 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17175,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_172')).
% 6.85/5.05 tff(17176,plain,
% 6.85/5.05 (nextState(constB172, constB173)),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17175, 17174])).
% 6.85/5.05 tff(17177,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17178,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17179,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173)))))),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17178, 17177])).
% 6.85/5.05 tff(17180,plain,
% 6.85/5.05 (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17179, 17176, 273])).
% 6.85/5.05 tff(17181,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17182,plain,
% 6.85/5.05 (((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173)))))) <=> ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17183,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))))),
% 6.85/5.05 inference(monotonicity,[status(thm)],[17182])).
% 6.85/5.05 tff(17184,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))),
% 6.85/5.05 inference(transitivity,[status(thm)],[17183, 17181])).
% 6.85/5.05 tff(17185,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173))))))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17186,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17185, 17184])).
% 6.85/5.05 tff(17187,plain,
% 6.85/5.05 (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17186, 17176, 293])).
% 6.85/5.05 tff(17188,plain,
% 6.85/5.05 ((~v1(constB173)) <=> (~v1(constB173))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17189,axiom,(~v1(constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_173')).
% 6.85/5.05 tff(17190,plain,
% 6.85/5.05 (~v1(constB173)),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17189, 17188])).
% 6.85/5.05 tff(17191,plain,
% 6.85/5.05 (((~v1(constB173)) | (~v102(constB173))) | v1(constB173)),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17192,plain,
% 6.85/5.05 ((~v1(constB173)) | (~v102(constB173))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17191, 17190])).
% 6.85/5.05 tff(17193,plain,
% 6.85/5.05 ((~(v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))) | (~v101(constB173)) | (~((~v1(constB173)) | (~v102(constB173))))),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17194,plain,
% 6.85/5.05 ((~(v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))) | (~v101(constB173))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17193, 17192])).
% 6.85/5.05 tff(17195,plain,
% 6.85/5.05 (~v101(constB173)),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17194, 17187])).
% 6.85/5.05 tff(17196,plain,
% 6.85/5.05 (((~v101(constB173)) | (~v110(constB173))) | v101(constB173)),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17197,plain,
% 6.85/5.05 ((~v101(constB173)) | (~v110(constB173))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17196, 17195])).
% 6.85/5.05 tff(17198,plain,
% 6.85/5.05 ((~(v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173)))))) | (~v100(constB173)) | (~((~v101(constB173)) | (~v110(constB173))))),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17199,plain,
% 6.85/5.05 (~v100(constB173)),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17198, 17197, 17180])).
% 6.85/5.05 tff(17200,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 0)) <=> v90(constB172, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 0)) <=> v90(constB172, 0)))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17201,plain,
% 6.85/5.05 ((v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 0)) <=> v90(constB172, 0))))) <=> (v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 0)) <=> v90(constB172, 0)))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17202,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 0)) <=> v90(constB172, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 0)) <=> v90(constB172, 0))))))),
% 6.85/5.05 inference(monotonicity,[status(thm)],[17201])).
% 6.85/5.05 tff(17203,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 0)) <=> v90(constB172, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 0)) <=> v90(constB172, 0)))))),
% 6.85/5.05 inference(transitivity,[status(thm)],[17202, 17200])).
% 6.85/5.05 tff(17204,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 0)) <=> v90(constB172, 0)))))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17205,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 0)) <=> v90(constB172, 0))))),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17204, 17203])).
% 6.85/5.05 tff(17206,plain,
% 6.85/5.05 (v100(constB173) | (~(((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 0)) <=> v90(constB172, 0))))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17205, 17176, 325])).
% 6.85/5.05 tff(17207,plain,
% 6.85/5.05 (~(((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 0)) <=> v90(constB172, 0)))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17206, 17199])).
% 6.85/5.05 tff(17208,plain,
% 6.85/5.05 ((((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 0)) <=> v90(constB172, 0))) | (~((~v90(constB173, 2)) <=> v90(constB172, 2)))),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17209,plain,
% 6.85/5.05 (~((~v90(constB173, 2)) <=> v90(constB172, 2))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17208, 17207])).
% 6.85/5.05 tff(17210,plain,
% 6.85/5.05 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17211,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_171')).
% 6.85/5.05 tff(17212,plain,
% 6.85/5.05 (nextState(constB171, constB172)),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17211, 17210])).
% 6.85/5.05 tff(17213,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB171, constB172)) | (~(((~v129(constB172, 2)) <=> v127(constB171, 2)) | ((~v129(constB172, 1)) <=> v127(constB171, 1)) | ((~v129(constB172, 0)) <=> v127(constB171, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB171, constB172)) | (~(((~v129(constB172, 2)) <=> v127(constB171, 2)) | ((~v129(constB172, 1)) <=> v127(constB171, 1)) | ((~v129(constB172, 0)) <=> v127(constB171, 0)))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17214,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB171, constB172)) | (~(((~v129(constB172, 2)) <=> v127(constB171, 2)) | ((~v129(constB172, 1)) <=> v127(constB171, 1)) | ((~v129(constB172, 0)) <=> v127(constB171, 0)))))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17215,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB171, constB172)) | (~(((~v129(constB172, 2)) <=> v127(constB171, 2)) | ((~v129(constB172, 1)) <=> v127(constB171, 1)) | ((~v129(constB172, 0)) <=> v127(constB171, 0))))),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17214, 17213])).
% 6.85/5.05 tff(17216,plain,
% 6.85/5.05 (~(((~v129(constB172, 2)) <=> v127(constB171, 2)) | ((~v129(constB172, 1)) <=> v127(constB171, 1)) | ((~v129(constB172, 0)) <=> v127(constB171, 0)))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17215, 17212, 348])).
% 6.85/5.05 tff(17217,plain,
% 6.85/5.05 ((((~v129(constB172, 2)) <=> v127(constB171, 2)) | ((~v129(constB172, 1)) <=> v127(constB171, 1)) | ((~v129(constB172, 0)) <=> v127(constB171, 0))) | (~((~v129(constB172, 2)) <=> v127(constB171, 2)))),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17218,plain,
% 6.85/5.05 (~((~v129(constB172, 2)) <=> v127(constB171, 2))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17217, 17216])).
% 6.85/5.05 tff(17219,plain,
% 6.85/5.05 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB171) <=> v26(constB171))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17220,plain,
% 6.85/5.05 (v111(constB171) <=> v26(constB171)),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17219, 367])).
% 6.85/5.05 tff(17221,plain,
% 6.85/5.05 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB171))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17222,plain,
% 6.85/5.05 (~v26(constB171)),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17221, 379])).
% 6.85/5.05 tff(17223,plain,
% 6.85/5.05 ((~(v111(constB171) <=> v26(constB171))) | (~v111(constB171)) | v26(constB171)),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17224,plain,
% 6.85/5.05 ((~(v111(constB171) <=> v26(constB171))) | (~v111(constB171))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17223, 17222])).
% 6.85/5.05 tff(17225,plain,
% 6.85/5.05 (~v111(constB171)),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17224, 17220])).
% 6.85/5.05 tff(17226,plain,
% 6.85/5.05 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB171) | (~(((~v127(constB171, 2)) <=> v130(constB171, 2)) | ((~v127(constB171, 1)) <=> v130(constB171, 1)) | ((~v127(constB171, 0)) <=> v130(constB171, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB171) | (~(((~v127(constB171, 2)) <=> v130(constB171, 2)) | ((~v127(constB171, 1)) <=> v130(constB171, 1)) | ((~v127(constB171, 0)) <=> v130(constB171, 0)))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17227,plain,
% 6.85/5.05 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB171) | (~(((~v127(constB171, 2)) <=> v130(constB171, 2)) | ((~v127(constB171, 1)) <=> v130(constB171, 1)) | ((~v127(constB171, 0)) <=> v130(constB171, 0)))))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17228,plain,
% 6.85/5.05 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB171) | (~(((~v127(constB171, 2)) <=> v130(constB171, 2)) | ((~v127(constB171, 1)) <=> v130(constB171, 1)) | ((~v127(constB171, 0)) <=> v130(constB171, 0))))),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17227, 17226])).
% 6.85/5.05 tff(17229,plain,
% 6.85/5.05 (v111(constB171) | (~(((~v127(constB171, 2)) <=> v130(constB171, 2)) | ((~v127(constB171, 1)) <=> v130(constB171, 1)) | ((~v127(constB171, 0)) <=> v130(constB171, 0))))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17228, 397])).
% 6.85/5.05 tff(17230,plain,
% 6.85/5.05 (~(((~v127(constB171, 2)) <=> v130(constB171, 2)) | ((~v127(constB171, 1)) <=> v130(constB171, 1)) | ((~v127(constB171, 0)) <=> v130(constB171, 0)))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17229, 17225])).
% 6.85/5.05 tff(17231,plain,
% 6.85/5.05 ((((~v127(constB171, 2)) <=> v130(constB171, 2)) | ((~v127(constB171, 1)) <=> v130(constB171, 1)) | ((~v127(constB171, 0)) <=> v130(constB171, 0))) | (~((~v127(constB171, 2)) <=> v130(constB171, 2)))),
% 6.85/5.05 inference(tautology,[status(thm)],[])).
% 6.85/5.05 tff(17232,plain,
% 6.85/5.05 (~((~v127(constB171, 2)) <=> v130(constB171, 2))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17231, 17230])).
% 6.85/5.05 tff(17233,plain,
% 6.85/5.05 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB171) <=> (~(v90(constB171, 2) | (~v90(constB171, 1)) | (~v90(constB171, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB171) <=> (~(v90(constB171, 2) | (~v90(constB171, 1)) | (~v90(constB171, 0))))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17234,plain,
% 6.85/5.05 ((v122(constB171) <=> (~(v90(constB171, 2) | (~v90(constB171, 0)) | (~v90(constB171, 1))))) <=> (v122(constB171) <=> (~(v90(constB171, 2) | (~v90(constB171, 1)) | (~v90(constB171, 0)))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17235,plain,
% 6.85/5.05 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB171) <=> (~(v90(constB171, 2) | (~v90(constB171, 0)) | (~v90(constB171, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB171) <=> (~(v90(constB171, 2) | (~v90(constB171, 1)) | (~v90(constB171, 0))))))),
% 6.85/5.05 inference(monotonicity,[status(thm)],[17234])).
% 6.85/5.05 tff(17236,plain,
% 6.85/5.05 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB171) <=> (~(v90(constB171, 2) | (~v90(constB171, 0)) | (~v90(constB171, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB171) <=> (~(v90(constB171, 2) | (~v90(constB171, 1)) | (~v90(constB171, 0))))))),
% 6.85/5.05 inference(transitivity,[status(thm)],[17235, 17233])).
% 6.85/5.05 tff(17237,plain,
% 6.85/5.05 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB171) <=> (~(v90(constB171, 2) | (~v90(constB171, 0)) | (~v90(constB171, 1)))))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17238,plain,
% 6.85/5.05 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB171) <=> (~(v90(constB171, 2) | (~v90(constB171, 1)) | (~v90(constB171, 0)))))),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17237, 17236])).
% 6.85/5.05 tff(17239,plain,
% 6.85/5.05 (v122(constB171) <=> (~(v90(constB171, 2) | (~v90(constB171, 1)) | (~v90(constB171, 0))))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17238, 644])).
% 6.85/5.05 tff(17240,plain,
% 6.85/5.05 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17241,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_170')).
% 6.85/5.05 tff(17242,plain,
% 6.85/5.05 (nextState(constB170, constB171)),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17241, 17240])).
% 6.85/5.05 tff(17243,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))))),
% 6.85/5.05 inference(rewrite,[status(thm)],[])).
% 6.85/5.05 tff(17244,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))))),
% 6.85/5.05 inference(quant_inst,[status(thm)],[])).
% 6.85/5.05 tff(17245,plain,
% 6.85/5.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171)))))),
% 6.85/5.05 inference(modus_ponens,[status(thm)],[17244, 17243])).
% 6.85/5.05 tff(17246,plain,
% 6.85/5.05 (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))),
% 6.85/5.05 inference(unit_resolution,[status(thm)],[17245, 17242, 273])).
% 6.85/5.05 tff(17247,plain,
% 6.85/5.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17248,plain,
% 6.85/5.06 (((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171)))))) <=> ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17249,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))))),
% 6.85/5.06 inference(monotonicity,[status(thm)],[17248])).
% 6.85/5.06 tff(17250,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))),
% 6.85/5.06 inference(transitivity,[status(thm)],[17249, 17247])).
% 6.85/5.06 tff(17251,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171))))))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17252,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17251, 17250])).
% 6.85/5.06 tff(17253,plain,
% 6.85/5.06 (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17252, 17242, 293])).
% 6.85/5.06 tff(17254,plain,
% 6.85/5.06 ((~v1(constB171)) <=> (~v1(constB171))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17255,axiom,(~v1(constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_171')).
% 6.85/5.06 tff(17256,plain,
% 6.85/5.06 (~v1(constB171)),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17255, 17254])).
% 6.85/5.06 tff(17257,plain,
% 6.85/5.06 (((~v1(constB171)) | (~v102(constB171))) | v1(constB171)),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17258,plain,
% 6.85/5.06 ((~v1(constB171)) | (~v102(constB171))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17257, 17256])).
% 6.85/5.06 tff(17259,plain,
% 6.85/5.06 ((~(v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))) | (~v101(constB171)) | (~((~v1(constB171)) | (~v102(constB171))))),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17260,plain,
% 6.85/5.06 ((~(v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))) | (~v101(constB171))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17259, 17258])).
% 6.85/5.06 tff(17261,plain,
% 6.85/5.06 (~v101(constB171)),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17260, 17253])).
% 6.85/5.06 tff(17262,plain,
% 6.85/5.06 (((~v101(constB171)) | (~v110(constB171))) | v101(constB171)),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17263,plain,
% 6.85/5.06 ((~v101(constB171)) | (~v110(constB171))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17262, 17261])).
% 6.85/5.06 tff(17264,plain,
% 6.85/5.06 ((~(v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171)))))) | (~v100(constB171)) | (~((~v101(constB171)) | (~v110(constB171))))),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17265,plain,
% 6.85/5.06 (~v100(constB171)),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17264, 17263, 17246])).
% 6.85/5.06 tff(17266,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 0)) <=> v90(constB170, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 0)) <=> v90(constB170, 0)))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17267,plain,
% 6.85/5.06 ((v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 0)) <=> v90(constB170, 0))))) <=> (v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 0)) <=> v90(constB170, 0)))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17268,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 0)) <=> v90(constB170, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 0)) <=> v90(constB170, 0))))))),
% 6.85/5.06 inference(monotonicity,[status(thm)],[17267])).
% 6.85/5.06 tff(17269,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 0)) <=> v90(constB170, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 0)) <=> v90(constB170, 0)))))),
% 6.85/5.06 inference(transitivity,[status(thm)],[17268, 17266])).
% 6.85/5.06 tff(17270,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 0)) <=> v90(constB170, 0)))))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17271,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 0)) <=> v90(constB170, 0))))),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17270, 17269])).
% 6.85/5.06 tff(17272,plain,
% 6.85/5.06 (v100(constB171) | (~(((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 0)) <=> v90(constB170, 0))))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17271, 17242, 325])).
% 6.85/5.06 tff(17273,plain,
% 6.85/5.06 (~(((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 0)) <=> v90(constB170, 0)))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17272, 17265])).
% 6.85/5.06 tff(17274,plain,
% 6.85/5.06 ((((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 0)) <=> v90(constB170, 0))) | (~((~v90(constB171, 2)) <=> v90(constB170, 2)))),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17275,plain,
% 6.85/5.06 (~((~v90(constB171, 2)) <=> v90(constB170, 2))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17274, 17273])).
% 6.85/5.06 tff(17276,plain,
% 6.85/5.06 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17277,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_169')).
% 6.85/5.06 tff(17278,plain,
% 6.85/5.06 (nextState(constB169, constB170)),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17277, 17276])).
% 6.85/5.06 tff(17279,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB169, constB170)) | (~(((~v129(constB170, 2)) <=> v127(constB169, 2)) | ((~v129(constB170, 1)) <=> v127(constB169, 1)) | ((~v129(constB170, 0)) <=> v127(constB169, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB169, constB170)) | (~(((~v129(constB170, 2)) <=> v127(constB169, 2)) | ((~v129(constB170, 1)) <=> v127(constB169, 1)) | ((~v129(constB170, 0)) <=> v127(constB169, 0)))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17280,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB169, constB170)) | (~(((~v129(constB170, 2)) <=> v127(constB169, 2)) | ((~v129(constB170, 1)) <=> v127(constB169, 1)) | ((~v129(constB170, 0)) <=> v127(constB169, 0)))))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17281,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB169, constB170)) | (~(((~v129(constB170, 2)) <=> v127(constB169, 2)) | ((~v129(constB170, 1)) <=> v127(constB169, 1)) | ((~v129(constB170, 0)) <=> v127(constB169, 0))))),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17280, 17279])).
% 6.85/5.06 tff(17282,plain,
% 6.85/5.06 (~(((~v129(constB170, 2)) <=> v127(constB169, 2)) | ((~v129(constB170, 1)) <=> v127(constB169, 1)) | ((~v129(constB170, 0)) <=> v127(constB169, 0)))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17281, 17278, 348])).
% 6.85/5.06 tff(17283,plain,
% 6.85/5.06 ((((~v129(constB170, 2)) <=> v127(constB169, 2)) | ((~v129(constB170, 1)) <=> v127(constB169, 1)) | ((~v129(constB170, 0)) <=> v127(constB169, 0))) | (~((~v129(constB170, 2)) <=> v127(constB169, 2)))),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17284,plain,
% 6.85/5.06 (~((~v129(constB170, 2)) <=> v127(constB169, 2))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17283, 17282])).
% 6.85/5.06 tff(17285,plain,
% 6.85/5.06 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB169) <=> v26(constB169))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17286,plain,
% 6.85/5.06 (v111(constB169) <=> v26(constB169)),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17285, 367])).
% 6.85/5.06 tff(17287,plain,
% 6.85/5.06 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB169))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17288,plain,
% 6.85/5.06 (~v26(constB169)),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17287, 379])).
% 6.85/5.06 tff(17289,plain,
% 6.85/5.06 ((~(v111(constB169) <=> v26(constB169))) | (~v111(constB169)) | v26(constB169)),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17290,plain,
% 6.85/5.06 ((~(v111(constB169) <=> v26(constB169))) | (~v111(constB169))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17289, 17288])).
% 6.85/5.06 tff(17291,plain,
% 6.85/5.06 (~v111(constB169)),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17290, 17286])).
% 6.85/5.06 tff(17292,plain,
% 6.85/5.06 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB169) | (~(((~v127(constB169, 2)) <=> v130(constB169, 2)) | ((~v127(constB169, 1)) <=> v130(constB169, 1)) | ((~v127(constB169, 0)) <=> v130(constB169, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB169) | (~(((~v127(constB169, 2)) <=> v130(constB169, 2)) | ((~v127(constB169, 1)) <=> v130(constB169, 1)) | ((~v127(constB169, 0)) <=> v130(constB169, 0)))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17293,plain,
% 6.85/5.06 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB169) | (~(((~v127(constB169, 2)) <=> v130(constB169, 2)) | ((~v127(constB169, 1)) <=> v130(constB169, 1)) | ((~v127(constB169, 0)) <=> v130(constB169, 0)))))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17294,plain,
% 6.85/5.06 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB169) | (~(((~v127(constB169, 2)) <=> v130(constB169, 2)) | ((~v127(constB169, 1)) <=> v130(constB169, 1)) | ((~v127(constB169, 0)) <=> v130(constB169, 0))))),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17293, 17292])).
% 6.85/5.06 tff(17295,plain,
% 6.85/5.06 (v111(constB169) | (~(((~v127(constB169, 2)) <=> v130(constB169, 2)) | ((~v127(constB169, 1)) <=> v130(constB169, 1)) | ((~v127(constB169, 0)) <=> v130(constB169, 0))))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17294, 397])).
% 6.85/5.06 tff(17296,plain,
% 6.85/5.06 (~(((~v127(constB169, 2)) <=> v130(constB169, 2)) | ((~v127(constB169, 1)) <=> v130(constB169, 1)) | ((~v127(constB169, 0)) <=> v130(constB169, 0)))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17295, 17291])).
% 6.85/5.06 tff(17297,plain,
% 6.85/5.06 ((((~v127(constB169, 2)) <=> v130(constB169, 2)) | ((~v127(constB169, 1)) <=> v130(constB169, 1)) | ((~v127(constB169, 0)) <=> v130(constB169, 0))) | (~((~v127(constB169, 2)) <=> v130(constB169, 2)))),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17298,plain,
% 6.85/5.06 (~((~v127(constB169, 2)) <=> v130(constB169, 2))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17297, 17296])).
% 6.85/5.06 tff(17299,plain,
% 6.85/5.06 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB169) <=> (~(v90(constB169, 2) | v90(constB169, 0) | (~v90(constB169, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB169) <=> (~(v90(constB169, 2) | v90(constB169, 0) | (~v90(constB169, 1))))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17300,plain,
% 6.85/5.06 ((v121(constB169) <=> (~(v90(constB169, 0) | v90(constB169, 2) | (~v90(constB169, 1))))) <=> (v121(constB169) <=> (~(v90(constB169, 2) | v90(constB169, 0) | (~v90(constB169, 1)))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17301,plain,
% 6.85/5.06 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB169) <=> (~(v90(constB169, 0) | v90(constB169, 2) | (~v90(constB169, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB169) <=> (~(v90(constB169, 2) | v90(constB169, 0) | (~v90(constB169, 1))))))),
% 6.85/5.06 inference(monotonicity,[status(thm)],[17300])).
% 6.85/5.06 tff(17302,plain,
% 6.85/5.06 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB169) <=> (~(v90(constB169, 0) | v90(constB169, 2) | (~v90(constB169, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB169) <=> (~(v90(constB169, 2) | v90(constB169, 0) | (~v90(constB169, 1))))))),
% 6.85/5.06 inference(transitivity,[status(thm)],[17301, 17299])).
% 6.85/5.06 tff(17303,plain,
% 6.85/5.06 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB169) <=> (~(v90(constB169, 0) | v90(constB169, 2) | (~v90(constB169, 1)))))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17304,plain,
% 6.85/5.06 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB169) <=> (~(v90(constB169, 2) | v90(constB169, 0) | (~v90(constB169, 1)))))),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17303, 17302])).
% 6.85/5.06 tff(17305,plain,
% 6.85/5.06 (v121(constB169) <=> (~(v90(constB169, 2) | v90(constB169, 0) | (~v90(constB169, 1))))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17304, 723])).
% 6.85/5.06 tff(17306,plain,
% 6.85/5.06 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17307,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_168')).
% 6.85/5.06 tff(17308,plain,
% 6.85/5.06 (nextState(constB168, constB169)),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17307, 17306])).
% 6.85/5.06 tff(17309,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17310,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17311,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169)))))),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17310, 17309])).
% 6.85/5.06 tff(17312,plain,
% 6.85/5.06 (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17311, 17308, 273])).
% 6.85/5.06 tff(17313,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17314,plain,
% 6.85/5.06 (((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169)))))) <=> ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17315,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))))),
% 6.85/5.06 inference(monotonicity,[status(thm)],[17314])).
% 6.85/5.06 tff(17316,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))),
% 6.85/5.06 inference(transitivity,[status(thm)],[17315, 17313])).
% 6.85/5.06 tff(17317,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169))))))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17318,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17317, 17316])).
% 6.85/5.06 tff(17319,plain,
% 6.85/5.06 (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17318, 17308, 293])).
% 6.85/5.06 tff(17320,plain,
% 6.85/5.06 ((~v1(constB169)) <=> (~v1(constB169))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17321,axiom,(~v1(constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_169')).
% 6.85/5.06 tff(17322,plain,
% 6.85/5.06 (~v1(constB169)),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17321, 17320])).
% 6.85/5.06 tff(17323,plain,
% 6.85/5.06 (((~v1(constB169)) | (~v102(constB169))) | v1(constB169)),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17324,plain,
% 6.85/5.06 ((~v1(constB169)) | (~v102(constB169))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17323, 17322])).
% 6.85/5.06 tff(17325,plain,
% 6.85/5.06 ((~(v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))) | (~v101(constB169)) | (~((~v1(constB169)) | (~v102(constB169))))),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17326,plain,
% 6.85/5.06 ((~(v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))) | (~v101(constB169))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17325, 17324])).
% 6.85/5.06 tff(17327,plain,
% 6.85/5.06 (~v101(constB169)),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17326, 17319])).
% 6.85/5.06 tff(17328,plain,
% 6.85/5.06 (((~v101(constB169)) | (~v110(constB169))) | v101(constB169)),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17329,plain,
% 6.85/5.06 ((~v101(constB169)) | (~v110(constB169))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17328, 17327])).
% 6.85/5.06 tff(17330,plain,
% 6.85/5.06 ((~(v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169)))))) | (~v100(constB169)) | (~((~v101(constB169)) | (~v110(constB169))))),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17331,plain,
% 6.85/5.06 (~v100(constB169)),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17330, 17329, 17312])).
% 6.85/5.06 tff(17332,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 0)) <=> v90(constB168, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 0)) <=> v90(constB168, 0)))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17333,plain,
% 6.85/5.06 ((v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 0)) <=> v90(constB168, 0))))) <=> (v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 0)) <=> v90(constB168, 0)))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17334,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 0)) <=> v90(constB168, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 0)) <=> v90(constB168, 0))))))),
% 6.85/5.06 inference(monotonicity,[status(thm)],[17333])).
% 6.85/5.06 tff(17335,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 0)) <=> v90(constB168, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 0)) <=> v90(constB168, 0)))))),
% 6.85/5.06 inference(transitivity,[status(thm)],[17334, 17332])).
% 6.85/5.06 tff(17336,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 0)) <=> v90(constB168, 0)))))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17337,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 0)) <=> v90(constB168, 0))))),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17336, 17335])).
% 6.85/5.06 tff(17338,plain,
% 6.85/5.06 (v100(constB169) | (~(((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 0)) <=> v90(constB168, 0))))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17337, 17308, 325])).
% 6.85/5.06 tff(17339,plain,
% 6.85/5.06 (~(((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 0)) <=> v90(constB168, 0)))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17338, 17331])).
% 6.85/5.06 tff(17340,plain,
% 6.85/5.06 ((((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 0)) <=> v90(constB168, 0))) | (~((~v90(constB169, 2)) <=> v90(constB168, 2)))),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17341,plain,
% 6.85/5.06 (~((~v90(constB169, 2)) <=> v90(constB168, 2))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17340, 17339])).
% 6.85/5.06 tff(17342,plain,
% 6.85/5.06 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17343,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_167')).
% 6.85/5.06 tff(17344,plain,
% 6.85/5.06 (nextState(constB167, constB168)),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17343, 17342])).
% 6.85/5.06 tff(17345,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB167, constB168)) | (~(((~v129(constB168, 2)) <=> v127(constB167, 2)) | ((~v129(constB168, 1)) <=> v127(constB167, 1)) | ((~v129(constB168, 0)) <=> v127(constB167, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB167, constB168)) | (~(((~v129(constB168, 2)) <=> v127(constB167, 2)) | ((~v129(constB168, 1)) <=> v127(constB167, 1)) | ((~v129(constB168, 0)) <=> v127(constB167, 0)))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17346,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB167, constB168)) | (~(((~v129(constB168, 2)) <=> v127(constB167, 2)) | ((~v129(constB168, 1)) <=> v127(constB167, 1)) | ((~v129(constB168, 0)) <=> v127(constB167, 0)))))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17347,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB167, constB168)) | (~(((~v129(constB168, 2)) <=> v127(constB167, 2)) | ((~v129(constB168, 1)) <=> v127(constB167, 1)) | ((~v129(constB168, 0)) <=> v127(constB167, 0))))),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17346, 17345])).
% 6.85/5.06 tff(17348,plain,
% 6.85/5.06 (~(((~v129(constB168, 2)) <=> v127(constB167, 2)) | ((~v129(constB168, 1)) <=> v127(constB167, 1)) | ((~v129(constB168, 0)) <=> v127(constB167, 0)))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17347, 17344, 348])).
% 6.85/5.06 tff(17349,plain,
% 6.85/5.06 ((((~v129(constB168, 2)) <=> v127(constB167, 2)) | ((~v129(constB168, 1)) <=> v127(constB167, 1)) | ((~v129(constB168, 0)) <=> v127(constB167, 0))) | (~((~v129(constB168, 2)) <=> v127(constB167, 2)))),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17350,plain,
% 6.85/5.06 (~((~v129(constB168, 2)) <=> v127(constB167, 2))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17349, 17348])).
% 6.85/5.06 tff(17351,plain,
% 6.85/5.06 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB167) <=> v26(constB167))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17352,plain,
% 6.85/5.06 (v111(constB167) <=> v26(constB167)),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17351, 367])).
% 6.85/5.06 tff(17353,plain,
% 6.85/5.06 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB167))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17354,plain,
% 6.85/5.06 (~v26(constB167)),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17353, 379])).
% 6.85/5.06 tff(17355,plain,
% 6.85/5.06 ((~(v111(constB167) <=> v26(constB167))) | (~v111(constB167)) | v26(constB167)),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17356,plain,
% 6.85/5.06 ((~(v111(constB167) <=> v26(constB167))) | (~v111(constB167))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17355, 17354])).
% 6.85/5.06 tff(17357,plain,
% 6.85/5.06 (~v111(constB167)),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17356, 17352])).
% 6.85/5.06 tff(17358,plain,
% 6.85/5.06 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB167) | (~(((~v127(constB167, 2)) <=> v130(constB167, 2)) | ((~v127(constB167, 1)) <=> v130(constB167, 1)) | ((~v127(constB167, 0)) <=> v130(constB167, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB167) | (~(((~v127(constB167, 2)) <=> v130(constB167, 2)) | ((~v127(constB167, 1)) <=> v130(constB167, 1)) | ((~v127(constB167, 0)) <=> v130(constB167, 0)))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17359,plain,
% 6.85/5.06 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB167) | (~(((~v127(constB167, 2)) <=> v130(constB167, 2)) | ((~v127(constB167, 1)) <=> v130(constB167, 1)) | ((~v127(constB167, 0)) <=> v130(constB167, 0)))))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17360,plain,
% 6.85/5.06 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB167) | (~(((~v127(constB167, 2)) <=> v130(constB167, 2)) | ((~v127(constB167, 1)) <=> v130(constB167, 1)) | ((~v127(constB167, 0)) <=> v130(constB167, 0))))),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17359, 17358])).
% 6.85/5.06 tff(17361,plain,
% 6.85/5.06 (v111(constB167) | (~(((~v127(constB167, 2)) <=> v130(constB167, 2)) | ((~v127(constB167, 1)) <=> v130(constB167, 1)) | ((~v127(constB167, 0)) <=> v130(constB167, 0))))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17360, 397])).
% 6.85/5.06 tff(17362,plain,
% 6.85/5.06 (~(((~v127(constB167, 2)) <=> v130(constB167, 2)) | ((~v127(constB167, 1)) <=> v130(constB167, 1)) | ((~v127(constB167, 0)) <=> v130(constB167, 0)))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17361, 17357])).
% 6.85/5.06 tff(17363,plain,
% 6.85/5.06 ((((~v127(constB167, 2)) <=> v130(constB167, 2)) | ((~v127(constB167, 1)) <=> v130(constB167, 1)) | ((~v127(constB167, 0)) <=> v130(constB167, 0))) | (~((~v127(constB167, 2)) <=> v130(constB167, 2)))),
% 6.85/5.06 inference(tautology,[status(thm)],[])).
% 6.85/5.06 tff(17364,plain,
% 6.85/5.06 (~((~v127(constB167, 2)) <=> v130(constB167, 2))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17363, 17362])).
% 6.85/5.06 tff(17365,plain,
% 6.85/5.06 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB167) <=> (~(v90(constB167, 1) | v90(constB167, 2) | (~v90(constB167, 0)))))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17366,plain,
% 6.85/5.06 (v120(constB167) <=> (~(v90(constB167, 1) | v90(constB167, 2) | (~v90(constB167, 0))))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17365, 417])).
% 6.85/5.06 tff(17367,plain,
% 6.85/5.06 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17368,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_166')).
% 6.85/5.06 tff(17369,plain,
% 6.85/5.06 (nextState(constB166, constB167)),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17368, 17367])).
% 6.85/5.06 tff(17370,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17371,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17372,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167)))))),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17371, 17370])).
% 6.85/5.06 tff(17373,plain,
% 6.85/5.06 (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17372, 17369, 273])).
% 6.85/5.06 tff(17374,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17375,plain,
% 6.85/5.06 (((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167)))))) <=> ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))),
% 6.85/5.06 inference(rewrite,[status(thm)],[])).
% 6.85/5.06 tff(17376,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))))),
% 6.85/5.06 inference(monotonicity,[status(thm)],[17375])).
% 6.85/5.06 tff(17377,plain,
% 6.85/5.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))),
% 6.85/5.06 inference(transitivity,[status(thm)],[17376, 17374])).
% 6.85/5.06 tff(17378,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167))))))),
% 6.85/5.06 inference(quant_inst,[status(thm)],[])).
% 6.85/5.06 tff(17379,plain,
% 6.85/5.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))),
% 6.85/5.06 inference(modus_ponens,[status(thm)],[17378, 17377])).
% 6.85/5.06 tff(17380,plain,
% 6.85/5.06 (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))),
% 6.85/5.06 inference(unit_resolution,[status(thm)],[17379, 17369, 293])).
% 6.85/5.07 tff(17381,plain,
% 6.85/5.07 ((~v1(constB167)) <=> (~v1(constB167))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17382,axiom,(~v1(constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_167')).
% 6.85/5.07 tff(17383,plain,
% 6.85/5.07 (~v1(constB167)),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17382, 17381])).
% 6.85/5.07 tff(17384,plain,
% 6.85/5.07 (((~v1(constB167)) | (~v102(constB167))) | v1(constB167)),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17385,plain,
% 6.85/5.07 ((~v1(constB167)) | (~v102(constB167))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17384, 17383])).
% 6.85/5.07 tff(17386,plain,
% 6.85/5.07 ((~(v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))) | (~v101(constB167)) | (~((~v1(constB167)) | (~v102(constB167))))),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17387,plain,
% 6.85/5.07 ((~(v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))) | (~v101(constB167))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17386, 17385])).
% 6.85/5.07 tff(17388,plain,
% 6.85/5.07 (~v101(constB167)),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17387, 17380])).
% 6.85/5.07 tff(17389,plain,
% 6.85/5.07 (((~v101(constB167)) | (~v110(constB167))) | v101(constB167)),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17390,plain,
% 6.85/5.07 ((~v101(constB167)) | (~v110(constB167))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17389, 17388])).
% 6.85/5.07 tff(17391,plain,
% 6.85/5.07 ((~(v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167)))))) | (~v100(constB167)) | (~((~v101(constB167)) | (~v110(constB167))))),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17392,plain,
% 6.85/5.07 (~v100(constB167)),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17391, 17390, 17373])).
% 6.85/5.07 tff(17393,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 0)) <=> v90(constB166, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 0)) <=> v90(constB166, 0)))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17394,plain,
% 6.85/5.07 ((v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 0)) <=> v90(constB166, 0))))) <=> (v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 0)) <=> v90(constB166, 0)))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17395,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 0)) <=> v90(constB166, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 0)) <=> v90(constB166, 0))))))),
% 6.85/5.07 inference(monotonicity,[status(thm)],[17394])).
% 6.85/5.07 tff(17396,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 0)) <=> v90(constB166, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 0)) <=> v90(constB166, 0)))))),
% 6.85/5.07 inference(transitivity,[status(thm)],[17395, 17393])).
% 6.85/5.07 tff(17397,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 0)) <=> v90(constB166, 0)))))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17398,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 0)) <=> v90(constB166, 0))))),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17397, 17396])).
% 6.85/5.07 tff(17399,plain,
% 6.85/5.07 (v100(constB167) | (~(((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 0)) <=> v90(constB166, 0))))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17398, 17369, 325])).
% 6.85/5.07 tff(17400,plain,
% 6.85/5.07 (~(((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 0)) <=> v90(constB166, 0)))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17399, 17392])).
% 6.85/5.07 tff(17401,plain,
% 6.85/5.07 ((((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 0)) <=> v90(constB166, 0))) | (~((~v90(constB167, 2)) <=> v90(constB166, 2)))),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17402,plain,
% 6.85/5.07 (~((~v90(constB167, 2)) <=> v90(constB166, 2))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17401, 17400])).
% 6.85/5.07 tff(17403,plain,
% 6.85/5.07 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17404,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_165')).
% 6.85/5.07 tff(17405,plain,
% 6.85/5.07 (nextState(constB165, constB166)),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17404, 17403])).
% 6.85/5.07 tff(17406,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB165, constB166)) | (~(((~v129(constB166, 2)) <=> v127(constB165, 2)) | ((~v129(constB166, 1)) <=> v127(constB165, 1)) | ((~v129(constB166, 0)) <=> v127(constB165, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB165, constB166)) | (~(((~v129(constB166, 2)) <=> v127(constB165, 2)) | ((~v129(constB166, 1)) <=> v127(constB165, 1)) | ((~v129(constB166, 0)) <=> v127(constB165, 0)))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17407,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB165, constB166)) | (~(((~v129(constB166, 2)) <=> v127(constB165, 2)) | ((~v129(constB166, 1)) <=> v127(constB165, 1)) | ((~v129(constB166, 0)) <=> v127(constB165, 0)))))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17408,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB165, constB166)) | (~(((~v129(constB166, 2)) <=> v127(constB165, 2)) | ((~v129(constB166, 1)) <=> v127(constB165, 1)) | ((~v129(constB166, 0)) <=> v127(constB165, 0))))),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17407, 17406])).
% 6.85/5.07 tff(17409,plain,
% 6.85/5.07 (~(((~v129(constB166, 2)) <=> v127(constB165, 2)) | ((~v129(constB166, 1)) <=> v127(constB165, 1)) | ((~v129(constB166, 0)) <=> v127(constB165, 0)))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17408, 17405, 348])).
% 6.85/5.07 tff(17410,plain,
% 6.85/5.07 ((((~v129(constB166, 2)) <=> v127(constB165, 2)) | ((~v129(constB166, 1)) <=> v127(constB165, 1)) | ((~v129(constB166, 0)) <=> v127(constB165, 0))) | (~((~v129(constB166, 2)) <=> v127(constB165, 2)))),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17411,plain,
% 6.85/5.07 (~((~v129(constB166, 2)) <=> v127(constB165, 2))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17410, 17409])).
% 6.85/5.07 tff(17412,plain,
% 6.85/5.07 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB165) <=> v26(constB165))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17413,plain,
% 6.85/5.07 (v111(constB165) <=> v26(constB165)),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17412, 367])).
% 6.85/5.07 tff(17414,plain,
% 6.85/5.07 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB165))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17415,plain,
% 6.85/5.07 (~v26(constB165)),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17414, 379])).
% 6.85/5.07 tff(17416,plain,
% 6.85/5.07 ((~(v111(constB165) <=> v26(constB165))) | (~v111(constB165)) | v26(constB165)),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17417,plain,
% 6.85/5.07 ((~(v111(constB165) <=> v26(constB165))) | (~v111(constB165))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17416, 17415])).
% 6.85/5.07 tff(17418,plain,
% 6.85/5.07 (~v111(constB165)),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17417, 17413])).
% 6.85/5.07 tff(17419,plain,
% 6.85/5.07 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB165) | (~(((~v127(constB165, 2)) <=> v130(constB165, 2)) | ((~v127(constB165, 1)) <=> v130(constB165, 1)) | ((~v127(constB165, 0)) <=> v130(constB165, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB165) | (~(((~v127(constB165, 2)) <=> v130(constB165, 2)) | ((~v127(constB165, 1)) <=> v130(constB165, 1)) | ((~v127(constB165, 0)) <=> v130(constB165, 0)))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17420,plain,
% 6.85/5.07 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB165) | (~(((~v127(constB165, 2)) <=> v130(constB165, 2)) | ((~v127(constB165, 1)) <=> v130(constB165, 1)) | ((~v127(constB165, 0)) <=> v130(constB165, 0)))))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17421,plain,
% 6.85/5.07 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB165) | (~(((~v127(constB165, 2)) <=> v130(constB165, 2)) | ((~v127(constB165, 1)) <=> v130(constB165, 1)) | ((~v127(constB165, 0)) <=> v130(constB165, 0))))),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17420, 17419])).
% 6.85/5.07 tff(17422,plain,
% 6.85/5.07 (v111(constB165) | (~(((~v127(constB165, 2)) <=> v130(constB165, 2)) | ((~v127(constB165, 1)) <=> v130(constB165, 1)) | ((~v127(constB165, 0)) <=> v130(constB165, 0))))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17421, 397])).
% 6.85/5.07 tff(17423,plain,
% 6.85/5.07 (~(((~v127(constB165, 2)) <=> v130(constB165, 2)) | ((~v127(constB165, 1)) <=> v130(constB165, 1)) | ((~v127(constB165, 0)) <=> v130(constB165, 0)))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17422, 17418])).
% 6.85/5.07 tff(17424,plain,
% 6.85/5.07 ((((~v127(constB165, 2)) <=> v130(constB165, 2)) | ((~v127(constB165, 1)) <=> v130(constB165, 1)) | ((~v127(constB165, 0)) <=> v130(constB165, 0))) | (~((~v127(constB165, 2)) <=> v130(constB165, 2)))),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17425,plain,
% 6.85/5.07 (~((~v127(constB165, 2)) <=> v130(constB165, 2))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17424, 17423])).
% 6.85/5.07 tff(17426,plain,
% 6.85/5.07 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB165) <=> (~(v90(constB165, 0) | v90(constB165, 1) | v90(constB165, 2))))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17427,plain,
% 6.85/5.07 (v119(constB165) <=> (~(v90(constB165, 0) | v90(constB165, 1) | v90(constB165, 2)))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17426, 491])).
% 6.85/5.07 tff(17428,plain,
% 6.85/5.07 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17429,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_164')).
% 6.85/5.07 tff(17430,plain,
% 6.85/5.07 (nextState(constB164, constB165)),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17429, 17428])).
% 6.85/5.07 tff(17431,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17432,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17433,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165)))))),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17432, 17431])).
% 6.85/5.07 tff(17434,plain,
% 6.85/5.07 (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17433, 17430, 273])).
% 6.85/5.07 tff(17435,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17436,plain,
% 6.85/5.07 (((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165)))))) <=> ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17437,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))))),
% 6.85/5.07 inference(monotonicity,[status(thm)],[17436])).
% 6.85/5.07 tff(17438,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))),
% 6.85/5.07 inference(transitivity,[status(thm)],[17437, 17435])).
% 6.85/5.07 tff(17439,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165))))))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17440,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17439, 17438])).
% 6.85/5.07 tff(17441,plain,
% 6.85/5.07 (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17440, 17430, 293])).
% 6.85/5.07 tff(17442,plain,
% 6.85/5.07 ((~v1(constB165)) <=> (~v1(constB165))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17443,axiom,(~v1(constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_165')).
% 6.85/5.07 tff(17444,plain,
% 6.85/5.07 (~v1(constB165)),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17443, 17442])).
% 6.85/5.07 tff(17445,plain,
% 6.85/5.07 (((~v1(constB165)) | (~v102(constB165))) | v1(constB165)),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17446,plain,
% 6.85/5.07 ((~v1(constB165)) | (~v102(constB165))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17445, 17444])).
% 6.85/5.07 tff(17447,plain,
% 6.85/5.07 ((~(v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))) | (~v101(constB165)) | (~((~v1(constB165)) | (~v102(constB165))))),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17448,plain,
% 6.85/5.07 ((~(v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))) | (~v101(constB165))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17447, 17446])).
% 6.85/5.07 tff(17449,plain,
% 6.85/5.07 (~v101(constB165)),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17448, 17441])).
% 6.85/5.07 tff(17450,plain,
% 6.85/5.07 (((~v101(constB165)) | (~v110(constB165))) | v101(constB165)),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17451,plain,
% 6.85/5.07 ((~v101(constB165)) | (~v110(constB165))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17450, 17449])).
% 6.85/5.07 tff(17452,plain,
% 6.85/5.07 ((~(v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165)))))) | (~v100(constB165)) | (~((~v101(constB165)) | (~v110(constB165))))),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17453,plain,
% 6.85/5.07 (~v100(constB165)),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17452, 17451, 17434])).
% 6.85/5.07 tff(17454,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 0)) <=> v90(constB164, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 0)) <=> v90(constB164, 0)))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17455,plain,
% 6.85/5.07 ((v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 0)) <=> v90(constB164, 0))))) <=> (v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 0)) <=> v90(constB164, 0)))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17456,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 0)) <=> v90(constB164, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 0)) <=> v90(constB164, 0))))))),
% 6.85/5.07 inference(monotonicity,[status(thm)],[17455])).
% 6.85/5.07 tff(17457,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 0)) <=> v90(constB164, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 0)) <=> v90(constB164, 0)))))),
% 6.85/5.07 inference(transitivity,[status(thm)],[17456, 17454])).
% 6.85/5.07 tff(17458,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 0)) <=> v90(constB164, 0)))))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17459,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 0)) <=> v90(constB164, 0))))),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17458, 17457])).
% 6.85/5.07 tff(17460,plain,
% 6.85/5.07 (v100(constB165) | (~(((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 0)) <=> v90(constB164, 0))))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17459, 17430, 325])).
% 6.85/5.07 tff(17461,plain,
% 6.85/5.07 (~(((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 0)) <=> v90(constB164, 0)))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17460, 17453])).
% 6.85/5.07 tff(17462,plain,
% 6.85/5.07 ((((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 0)) <=> v90(constB164, 0))) | (~((~v90(constB165, 2)) <=> v90(constB164, 2)))),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17463,plain,
% 6.85/5.07 (~((~v90(constB165, 2)) <=> v90(constB164, 2))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17462, 17461])).
% 6.85/5.07 tff(17464,plain,
% 6.85/5.07 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17465,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_163')).
% 6.85/5.07 tff(17466,plain,
% 6.85/5.07 (nextState(constB163, constB164)),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17465, 17464])).
% 6.85/5.07 tff(17467,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB163, constB164)) | (~(((~v129(constB164, 2)) <=> v127(constB163, 2)) | ((~v129(constB164, 1)) <=> v127(constB163, 1)) | ((~v129(constB164, 0)) <=> v127(constB163, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB163, constB164)) | (~(((~v129(constB164, 2)) <=> v127(constB163, 2)) | ((~v129(constB164, 1)) <=> v127(constB163, 1)) | ((~v129(constB164, 0)) <=> v127(constB163, 0)))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17468,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB163, constB164)) | (~(((~v129(constB164, 2)) <=> v127(constB163, 2)) | ((~v129(constB164, 1)) <=> v127(constB163, 1)) | ((~v129(constB164, 0)) <=> v127(constB163, 0)))))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17469,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB163, constB164)) | (~(((~v129(constB164, 2)) <=> v127(constB163, 2)) | ((~v129(constB164, 1)) <=> v127(constB163, 1)) | ((~v129(constB164, 0)) <=> v127(constB163, 0))))),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17468, 17467])).
% 6.85/5.07 tff(17470,plain,
% 6.85/5.07 (~(((~v129(constB164, 2)) <=> v127(constB163, 2)) | ((~v129(constB164, 1)) <=> v127(constB163, 1)) | ((~v129(constB164, 0)) <=> v127(constB163, 0)))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17469, 17466, 348])).
% 6.85/5.07 tff(17471,plain,
% 6.85/5.07 ((((~v129(constB164, 2)) <=> v127(constB163, 2)) | ((~v129(constB164, 1)) <=> v127(constB163, 1)) | ((~v129(constB164, 0)) <=> v127(constB163, 0))) | (~((~v129(constB164, 2)) <=> v127(constB163, 2)))),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17472,plain,
% 6.85/5.07 (~((~v129(constB164, 2)) <=> v127(constB163, 2))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17471, 17470])).
% 6.85/5.07 tff(17473,plain,
% 6.85/5.07 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB163) <=> v26(constB163))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17474,plain,
% 6.85/5.07 (v111(constB163) <=> v26(constB163)),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17473, 367])).
% 6.85/5.07 tff(17475,plain,
% 6.85/5.07 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB163))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17476,plain,
% 6.85/5.07 (~v26(constB163)),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17475, 379])).
% 6.85/5.07 tff(17477,plain,
% 6.85/5.07 ((~(v111(constB163) <=> v26(constB163))) | (~v111(constB163)) | v26(constB163)),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17478,plain,
% 6.85/5.07 ((~(v111(constB163) <=> v26(constB163))) | (~v111(constB163))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17477, 17476])).
% 6.85/5.07 tff(17479,plain,
% 6.85/5.07 (~v111(constB163)),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17478, 17474])).
% 6.85/5.07 tff(17480,plain,
% 6.85/5.07 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB163) | (~(((~v127(constB163, 2)) <=> v130(constB163, 2)) | ((~v127(constB163, 1)) <=> v130(constB163, 1)) | ((~v127(constB163, 0)) <=> v130(constB163, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB163) | (~(((~v127(constB163, 2)) <=> v130(constB163, 2)) | ((~v127(constB163, 1)) <=> v130(constB163, 1)) | ((~v127(constB163, 0)) <=> v130(constB163, 0)))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17481,plain,
% 6.85/5.07 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB163) | (~(((~v127(constB163, 2)) <=> v130(constB163, 2)) | ((~v127(constB163, 1)) <=> v130(constB163, 1)) | ((~v127(constB163, 0)) <=> v130(constB163, 0)))))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17482,plain,
% 6.85/5.07 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB163) | (~(((~v127(constB163, 2)) <=> v130(constB163, 2)) | ((~v127(constB163, 1)) <=> v130(constB163, 1)) | ((~v127(constB163, 0)) <=> v130(constB163, 0))))),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17481, 17480])).
% 6.85/5.07 tff(17483,plain,
% 6.85/5.07 (v111(constB163) | (~(((~v127(constB163, 2)) <=> v130(constB163, 2)) | ((~v127(constB163, 1)) <=> v130(constB163, 1)) | ((~v127(constB163, 0)) <=> v130(constB163, 0))))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17482, 397])).
% 6.85/5.07 tff(17484,plain,
% 6.85/5.07 (~(((~v127(constB163, 2)) <=> v130(constB163, 2)) | ((~v127(constB163, 1)) <=> v130(constB163, 1)) | ((~v127(constB163, 0)) <=> v130(constB163, 0)))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17483, 17479])).
% 6.85/5.07 tff(17485,plain,
% 6.85/5.07 ((((~v127(constB163, 2)) <=> v130(constB163, 2)) | ((~v127(constB163, 1)) <=> v130(constB163, 1)) | ((~v127(constB163, 0)) <=> v130(constB163, 0))) | (~((~v127(constB163, 2)) <=> v130(constB163, 2)))),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17486,plain,
% 6.85/5.07 (~((~v127(constB163, 2)) <=> v130(constB163, 2))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17485, 17484])).
% 6.85/5.07 tff(17487,plain,
% 6.85/5.07 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB163) <=> (~(v90(constB163, 1) | v90(constB163, 0) | (~v90(constB163, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB163) <=> (~(v90(constB163, 1) | v90(constB163, 0) | (~v90(constB163, 2))))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17488,plain,
% 6.85/5.07 ((v123(constB163) <=> (~(v90(constB163, 0) | v90(constB163, 1) | (~v90(constB163, 2))))) <=> (v123(constB163) <=> (~(v90(constB163, 1) | v90(constB163, 0) | (~v90(constB163, 2)))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17489,plain,
% 6.85/5.07 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB163) <=> (~(v90(constB163, 0) | v90(constB163, 1) | (~v90(constB163, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB163) <=> (~(v90(constB163, 1) | v90(constB163, 0) | (~v90(constB163, 2))))))),
% 6.85/5.07 inference(monotonicity,[status(thm)],[17488])).
% 6.85/5.07 tff(17490,plain,
% 6.85/5.07 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB163) <=> (~(v90(constB163, 0) | v90(constB163, 1) | (~v90(constB163, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB163) <=> (~(v90(constB163, 1) | v90(constB163, 0) | (~v90(constB163, 2))))))),
% 6.85/5.07 inference(transitivity,[status(thm)],[17489, 17487])).
% 6.85/5.07 tff(17491,plain,
% 6.85/5.07 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB163) <=> (~(v90(constB163, 0) | v90(constB163, 1) | (~v90(constB163, 2)))))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17492,plain,
% 6.85/5.07 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB163) <=> (~(v90(constB163, 1) | v90(constB163, 0) | (~v90(constB163, 2)))))),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17491, 17490])).
% 6.85/5.07 tff(17493,plain,
% 6.85/5.07 (v123(constB163) <=> (~(v90(constB163, 1) | v90(constB163, 0) | (~v90(constB163, 2))))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17492, 565])).
% 6.85/5.07 tff(17494,plain,
% 6.85/5.07 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17495,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_162')).
% 6.85/5.07 tff(17496,plain,
% 6.85/5.07 (nextState(constB162, constB163)),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17495, 17494])).
% 6.85/5.07 tff(17497,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17498,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17499,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163)))))),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17498, 17497])).
% 6.85/5.07 tff(17500,plain,
% 6.85/5.07 (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17499, 17496, 273])).
% 6.85/5.07 tff(17501,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17502,plain,
% 6.85/5.07 (((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163)))))) <=> ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17503,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))))),
% 6.85/5.07 inference(monotonicity,[status(thm)],[17502])).
% 6.85/5.07 tff(17504,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))),
% 6.85/5.07 inference(transitivity,[status(thm)],[17503, 17501])).
% 6.85/5.07 tff(17505,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163))))))),
% 6.85/5.07 inference(quant_inst,[status(thm)],[])).
% 6.85/5.07 tff(17506,plain,
% 6.85/5.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17505, 17504])).
% 6.85/5.07 tff(17507,plain,
% 6.85/5.07 (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17506, 17496, 293])).
% 6.85/5.07 tff(17508,plain,
% 6.85/5.07 ((~v1(constB163)) <=> (~v1(constB163))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17509,axiom,(~v1(constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_163')).
% 6.85/5.07 tff(17510,plain,
% 6.85/5.07 (~v1(constB163)),
% 6.85/5.07 inference(modus_ponens,[status(thm)],[17509, 17508])).
% 6.85/5.07 tff(17511,plain,
% 6.85/5.07 (((~v1(constB163)) | (~v102(constB163))) | v1(constB163)),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17512,plain,
% 6.85/5.07 ((~v1(constB163)) | (~v102(constB163))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17511, 17510])).
% 6.85/5.07 tff(17513,plain,
% 6.85/5.07 ((~(v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))) | (~v101(constB163)) | (~((~v1(constB163)) | (~v102(constB163))))),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17514,plain,
% 6.85/5.07 ((~(v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))) | (~v101(constB163))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17513, 17512])).
% 6.85/5.07 tff(17515,plain,
% 6.85/5.07 (~v101(constB163)),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17514, 17507])).
% 6.85/5.07 tff(17516,plain,
% 6.85/5.07 (((~v101(constB163)) | (~v110(constB163))) | v101(constB163)),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17517,plain,
% 6.85/5.07 ((~v101(constB163)) | (~v110(constB163))),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17516, 17515])).
% 6.85/5.07 tff(17518,plain,
% 6.85/5.07 ((~(v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163)))))) | (~v100(constB163)) | (~((~v101(constB163)) | (~v110(constB163))))),
% 6.85/5.07 inference(tautology,[status(thm)],[])).
% 6.85/5.07 tff(17519,plain,
% 6.85/5.07 (~v100(constB163)),
% 6.85/5.07 inference(unit_resolution,[status(thm)],[17518, 17517, 17500])).
% 6.85/5.07 tff(17520,plain,
% 6.85/5.07 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 0)) <=> v90(constB162, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 0)) <=> v90(constB162, 0)))))),
% 6.85/5.07 inference(rewrite,[status(thm)],[])).
% 6.85/5.07 tff(17521,plain,
% 6.85/5.07 ((v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 0)) <=> v90(constB162, 0))))) <=> (v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 0)) <=> v90(constB162, 0)))))),
% 6.85/5.08 inference(rewrite,[status(thm)],[])).
% 6.85/5.08 tff(17522,plain,
% 6.85/5.08 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 0)) <=> v90(constB162, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 0)) <=> v90(constB162, 0))))))),
% 6.85/5.08 inference(monotonicity,[status(thm)],[17521])).
% 6.85/5.08 tff(17523,plain,
% 6.85/5.08 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 0)) <=> v90(constB162, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 0)) <=> v90(constB162, 0)))))),
% 6.85/5.08 inference(transitivity,[status(thm)],[17522, 17520])).
% 6.85/5.08 tff(17524,plain,
% 6.85/5.08 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 0)) <=> v90(constB162, 0)))))),
% 6.85/5.08 inference(quant_inst,[status(thm)],[])).
% 6.85/5.08 tff(17525,plain,
% 6.85/5.08 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 0)) <=> v90(constB162, 0))))),
% 6.85/5.08 inference(modus_ponens,[status(thm)],[17524, 17523])).
% 6.85/5.08 tff(17526,plain,
% 6.85/5.08 (v100(constB163) | (~(((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 0)) <=> v90(constB162, 0))))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17525, 17496, 325])).
% 6.85/5.08 tff(17527,plain,
% 6.85/5.08 (~(((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 0)) <=> v90(constB162, 0)))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17526, 17519])).
% 6.85/5.08 tff(17528,plain,
% 6.85/5.08 ((((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 0)) <=> v90(constB162, 0))) | (~((~v90(constB163, 2)) <=> v90(constB162, 2)))),
% 6.85/5.08 inference(tautology,[status(thm)],[])).
% 6.85/5.08 tff(17529,plain,
% 6.85/5.08 (~((~v90(constB163, 2)) <=> v90(constB162, 2))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17528, 17527])).
% 6.85/5.08 tff(17530,plain,
% 6.85/5.08 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 6.85/5.08 inference(rewrite,[status(thm)],[])).
% 6.85/5.08 tff(17531,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_161')).
% 6.85/5.08 tff(17532,plain,
% 6.85/5.08 (nextState(constB161, constB162)),
% 6.85/5.08 inference(modus_ponens,[status(thm)],[17531, 17530])).
% 6.85/5.08 tff(17533,plain,
% 6.85/5.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB161, constB162)) | (~(((~v129(constB162, 2)) <=> v127(constB161, 2)) | ((~v129(constB162, 1)) <=> v127(constB161, 1)) | ((~v129(constB162, 0)) <=> v127(constB161, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB161, constB162)) | (~(((~v129(constB162, 2)) <=> v127(constB161, 2)) | ((~v129(constB162, 1)) <=> v127(constB161, 1)) | ((~v129(constB162, 0)) <=> v127(constB161, 0)))))),
% 6.85/5.08 inference(rewrite,[status(thm)],[])).
% 6.85/5.08 tff(17534,plain,
% 6.85/5.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB161, constB162)) | (~(((~v129(constB162, 2)) <=> v127(constB161, 2)) | ((~v129(constB162, 1)) <=> v127(constB161, 1)) | ((~v129(constB162, 0)) <=> v127(constB161, 0)))))),
% 6.85/5.08 inference(quant_inst,[status(thm)],[])).
% 6.85/5.08 tff(17535,plain,
% 6.85/5.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB161, constB162)) | (~(((~v129(constB162, 2)) <=> v127(constB161, 2)) | ((~v129(constB162, 1)) <=> v127(constB161, 1)) | ((~v129(constB162, 0)) <=> v127(constB161, 0))))),
% 6.85/5.08 inference(modus_ponens,[status(thm)],[17534, 17533])).
% 6.85/5.08 tff(17536,plain,
% 6.85/5.08 (~(((~v129(constB162, 2)) <=> v127(constB161, 2)) | ((~v129(constB162, 1)) <=> v127(constB161, 1)) | ((~v129(constB162, 0)) <=> v127(constB161, 0)))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17535, 17532, 348])).
% 6.85/5.08 tff(17537,plain,
% 6.85/5.08 ((((~v129(constB162, 2)) <=> v127(constB161, 2)) | ((~v129(constB162, 1)) <=> v127(constB161, 1)) | ((~v129(constB162, 0)) <=> v127(constB161, 0))) | (~((~v129(constB162, 2)) <=> v127(constB161, 2)))),
% 6.85/5.08 inference(tautology,[status(thm)],[])).
% 6.85/5.08 tff(17538,plain,
% 6.85/5.08 (~((~v129(constB162, 2)) <=> v127(constB161, 2))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17537, 17536])).
% 6.85/5.08 tff(17539,plain,
% 6.85/5.08 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB161) <=> v26(constB161))),
% 6.85/5.08 inference(quant_inst,[status(thm)],[])).
% 6.85/5.08 tff(17540,plain,
% 6.85/5.08 (v111(constB161) <=> v26(constB161)),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17539, 367])).
% 6.85/5.08 tff(17541,plain,
% 6.85/5.08 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB161))),
% 6.85/5.08 inference(quant_inst,[status(thm)],[])).
% 6.85/5.08 tff(17542,plain,
% 6.85/5.08 (~v26(constB161)),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17541, 379])).
% 6.85/5.08 tff(17543,plain,
% 6.85/5.08 ((~(v111(constB161) <=> v26(constB161))) | (~v111(constB161)) | v26(constB161)),
% 6.85/5.08 inference(tautology,[status(thm)],[])).
% 6.85/5.08 tff(17544,plain,
% 6.85/5.08 ((~(v111(constB161) <=> v26(constB161))) | (~v111(constB161))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17543, 17542])).
% 6.85/5.08 tff(17545,plain,
% 6.85/5.08 (~v111(constB161)),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17544, 17540])).
% 6.85/5.08 tff(17546,plain,
% 6.85/5.08 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB161) | (~(((~v127(constB161, 2)) <=> v130(constB161, 2)) | ((~v127(constB161, 1)) <=> v130(constB161, 1)) | ((~v127(constB161, 0)) <=> v130(constB161, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB161) | (~(((~v127(constB161, 2)) <=> v130(constB161, 2)) | ((~v127(constB161, 1)) <=> v130(constB161, 1)) | ((~v127(constB161, 0)) <=> v130(constB161, 0)))))),
% 6.85/5.08 inference(rewrite,[status(thm)],[])).
% 6.85/5.08 tff(17547,plain,
% 6.85/5.08 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB161) | (~(((~v127(constB161, 2)) <=> v130(constB161, 2)) | ((~v127(constB161, 1)) <=> v130(constB161, 1)) | ((~v127(constB161, 0)) <=> v130(constB161, 0)))))),
% 6.85/5.08 inference(quant_inst,[status(thm)],[])).
% 6.85/5.08 tff(17548,plain,
% 6.85/5.08 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB161) | (~(((~v127(constB161, 2)) <=> v130(constB161, 2)) | ((~v127(constB161, 1)) <=> v130(constB161, 1)) | ((~v127(constB161, 0)) <=> v130(constB161, 0))))),
% 6.85/5.08 inference(modus_ponens,[status(thm)],[17547, 17546])).
% 6.85/5.08 tff(17549,plain,
% 6.85/5.08 (v111(constB161) | (~(((~v127(constB161, 2)) <=> v130(constB161, 2)) | ((~v127(constB161, 1)) <=> v130(constB161, 1)) | ((~v127(constB161, 0)) <=> v130(constB161, 0))))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17548, 397])).
% 6.85/5.08 tff(17550,plain,
% 6.85/5.08 (~(((~v127(constB161, 2)) <=> v130(constB161, 2)) | ((~v127(constB161, 1)) <=> v130(constB161, 1)) | ((~v127(constB161, 0)) <=> v130(constB161, 0)))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17549, 17545])).
% 6.85/5.08 tff(17551,plain,
% 6.85/5.08 ((((~v127(constB161, 2)) <=> v130(constB161, 2)) | ((~v127(constB161, 1)) <=> v130(constB161, 1)) | ((~v127(constB161, 0)) <=> v130(constB161, 0))) | (~((~v127(constB161, 2)) <=> v130(constB161, 2)))),
% 6.85/5.08 inference(tautology,[status(thm)],[])).
% 6.85/5.08 tff(17552,plain,
% 6.85/5.08 (~((~v127(constB161, 2)) <=> v130(constB161, 2))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17551, 17550])).
% 6.85/5.08 tff(17553,plain,
% 6.85/5.08 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB161) <=> (~(v90(constB161, 2) | (~v90(constB161, 1)) | (~v90(constB161, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB161) <=> (~(v90(constB161, 2) | (~v90(constB161, 1)) | (~v90(constB161, 0))))))),
% 6.85/5.08 inference(rewrite,[status(thm)],[])).
% 6.85/5.08 tff(17554,plain,
% 6.85/5.08 ((v122(constB161) <=> (~(v90(constB161, 2) | (~v90(constB161, 0)) | (~v90(constB161, 1))))) <=> (v122(constB161) <=> (~(v90(constB161, 2) | (~v90(constB161, 1)) | (~v90(constB161, 0)))))),
% 6.85/5.08 inference(rewrite,[status(thm)],[])).
% 6.85/5.08 tff(17555,plain,
% 6.85/5.08 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB161) <=> (~(v90(constB161, 2) | (~v90(constB161, 0)) | (~v90(constB161, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB161) <=> (~(v90(constB161, 2) | (~v90(constB161, 1)) | (~v90(constB161, 0))))))),
% 6.85/5.08 inference(monotonicity,[status(thm)],[17554])).
% 6.85/5.08 tff(17556,plain,
% 6.85/5.08 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB161) <=> (~(v90(constB161, 2) | (~v90(constB161, 0)) | (~v90(constB161, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB161) <=> (~(v90(constB161, 2) | (~v90(constB161, 1)) | (~v90(constB161, 0))))))),
% 6.85/5.08 inference(transitivity,[status(thm)],[17555, 17553])).
% 6.85/5.08 tff(17557,plain,
% 6.85/5.08 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB161) <=> (~(v90(constB161, 2) | (~v90(constB161, 0)) | (~v90(constB161, 1)))))),
% 6.85/5.08 inference(quant_inst,[status(thm)],[])).
% 6.85/5.08 tff(17558,plain,
% 6.85/5.08 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB161) <=> (~(v90(constB161, 2) | (~v90(constB161, 1)) | (~v90(constB161, 0)))))),
% 6.85/5.08 inference(modus_ponens,[status(thm)],[17557, 17556])).
% 6.85/5.08 tff(17559,plain,
% 6.85/5.08 (v122(constB161) <=> (~(v90(constB161, 2) | (~v90(constB161, 1)) | (~v90(constB161, 0))))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17558, 644])).
% 6.85/5.08 tff(17560,plain,
% 6.85/5.08 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 6.85/5.08 inference(rewrite,[status(thm)],[])).
% 6.85/5.08 tff(17561,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_160')).
% 6.85/5.08 tff(17562,plain,
% 6.85/5.08 (nextState(constB160, constB161)),
% 6.85/5.08 inference(modus_ponens,[status(thm)],[17561, 17560])).
% 6.85/5.08 tff(17563,plain,
% 6.85/5.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))))),
% 6.85/5.08 inference(rewrite,[status(thm)],[])).
% 6.85/5.08 tff(17564,plain,
% 6.85/5.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))))),
% 6.85/5.08 inference(quant_inst,[status(thm)],[])).
% 6.85/5.08 tff(17565,plain,
% 6.85/5.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161)))))),
% 6.85/5.08 inference(modus_ponens,[status(thm)],[17564, 17563])).
% 6.85/5.08 tff(17566,plain,
% 6.85/5.08 (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17565, 17562, 273])).
% 6.85/5.08 tff(17567,plain,
% 6.85/5.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))),
% 6.85/5.08 inference(rewrite,[status(thm)],[])).
% 6.85/5.08 tff(17568,plain,
% 6.85/5.08 (((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161)))))) <=> ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))),
% 6.85/5.08 inference(rewrite,[status(thm)],[])).
% 6.85/5.08 tff(17569,plain,
% 6.85/5.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))))),
% 6.85/5.08 inference(monotonicity,[status(thm)],[17568])).
% 6.85/5.08 tff(17570,plain,
% 6.85/5.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))),
% 6.85/5.08 inference(transitivity,[status(thm)],[17569, 17567])).
% 6.85/5.08 tff(17571,plain,
% 6.85/5.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161))))))),
% 6.85/5.08 inference(quant_inst,[status(thm)],[])).
% 6.85/5.08 tff(17572,plain,
% 6.85/5.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))),
% 6.85/5.08 inference(modus_ponens,[status(thm)],[17571, 17570])).
% 6.85/5.08 tff(17573,plain,
% 6.85/5.08 (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17572, 17562, 293])).
% 6.85/5.08 tff(17574,plain,
% 6.85/5.08 ((~v1(constB161)) <=> (~v1(constB161))),
% 6.85/5.08 inference(rewrite,[status(thm)],[])).
% 6.85/5.08 tff(17575,axiom,(~v1(constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_161')).
% 6.85/5.08 tff(17576,plain,
% 6.85/5.08 (~v1(constB161)),
% 6.85/5.08 inference(modus_ponens,[status(thm)],[17575, 17574])).
% 6.85/5.08 tff(17577,plain,
% 6.85/5.08 (((~v1(constB161)) | (~v102(constB161))) | v1(constB161)),
% 6.85/5.08 inference(tautology,[status(thm)],[])).
% 6.85/5.08 tff(17578,plain,
% 6.85/5.08 ((~v1(constB161)) | (~v102(constB161))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17577, 17576])).
% 6.85/5.08 tff(17579,plain,
% 6.85/5.08 ((~(v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))) | (~v101(constB161)) | (~((~v1(constB161)) | (~v102(constB161))))),
% 6.85/5.08 inference(tautology,[status(thm)],[])).
% 6.85/5.08 tff(17580,plain,
% 6.85/5.08 ((~(v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))) | (~v101(constB161))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17579, 17578])).
% 6.85/5.08 tff(17581,plain,
% 6.85/5.08 (~v101(constB161)),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17580, 17573])).
% 6.85/5.08 tff(17582,plain,
% 6.85/5.08 (((~v101(constB161)) | (~v110(constB161))) | v101(constB161)),
% 6.85/5.08 inference(tautology,[status(thm)],[])).
% 6.85/5.08 tff(17583,plain,
% 6.85/5.08 ((~v101(constB161)) | (~v110(constB161))),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17582, 17581])).
% 6.85/5.08 tff(17584,plain,
% 6.85/5.08 ((~(v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161)))))) | (~v100(constB161)) | (~((~v101(constB161)) | (~v110(constB161))))),
% 6.85/5.08 inference(tautology,[status(thm)],[])).
% 6.85/5.08 tff(17585,plain,
% 6.85/5.08 (~v100(constB161)),
% 6.85/5.08 inference(unit_resolution,[status(thm)],[17584, 17583, 17566])).
% 6.85/5.08 tff(17586,plain,
% 6.85/5.08 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 0)) <=> v90(constB160, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 0)) <=> v90(constB160, 0)))))),
% 6.85/5.08 inference(rewrite,[status(thm)],[])).
% 6.85/5.08 tff(17587,plain,
% 6.85/5.08 ((v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 0)) <=> v90(constB160, 0))))) <=> (v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 0)) <=> v90(constB160, 0)))))),
% 6.85/5.08 inference(rewrite,[status(thm)],[])).
% 6.85/5.08 tff(17588,plain,
% 6.85/5.08 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 0)) <=> v90(constB160, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 0)) <=> v90(constB160, 0))))))),
% 6.85/5.08 inference(monotonicity,[status(thm)],[17587])).
% 6.85/5.08 tff(17589,plain,
% 6.85/5.08 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 0)) <=> v90(constB160, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 0)) <=> v90(constB160, 0)))))),
% 6.85/5.08 inference(transitivity,[status(thm)],[17588, 17586])).
% 6.85/5.08 tff(17590,plain,
% 6.85/5.08 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 0)) <=> v90(constB160, 0)))))),
% 6.85/5.08 inference(quant_inst,[status(thm)],[])).
% 6.85/5.08 tff(17591,plain,
% 6.85/5.08 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 0)) <=> v90(constB160, 0))))),
% 6.85/5.08 inference(modus_ponens,[status(thm)],[17590, 17589])).
% 6.90/5.08 tff(17592,plain,
% 6.90/5.08 (v100(constB161) | (~(((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 0)) <=> v90(constB160, 0))))),
% 6.90/5.08 inference(unit_resolution,[status(thm)],[17591, 17562, 325])).
% 6.90/5.08 tff(17593,plain,
% 6.90/5.08 (~(((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 0)) <=> v90(constB160, 0)))),
% 6.90/5.08 inference(unit_resolution,[status(thm)],[17592, 17585])).
% 6.90/5.08 tff(17594,plain,
% 6.90/5.08 ((((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 0)) <=> v90(constB160, 0))) | (~((~v90(constB161, 2)) <=> v90(constB160, 2)))),
% 6.90/5.08 inference(tautology,[status(thm)],[])).
% 6.90/5.08 tff(17595,plain,
% 6.90/5.08 (~((~v90(constB161, 2)) <=> v90(constB160, 2))),
% 6.90/5.08 inference(unit_resolution,[status(thm)],[17594, 17593])).
% 6.90/5.08 tff(17596,plain,
% 6.90/5.08 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 6.90/5.08 inference(rewrite,[status(thm)],[])).
% 6.90/5.08 tff(17597,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_159')).
% 6.90/5.08 tff(17598,plain,
% 6.90/5.08 (nextState(constB159, constB160)),
% 6.90/5.08 inference(modus_ponens,[status(thm)],[17597, 17596])).
% 6.90/5.08 tff(17599,plain,
% 6.90/5.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB159, constB160)) | (~(((~v129(constB160, 2)) <=> v127(constB159, 2)) | ((~v129(constB160, 1)) <=> v127(constB159, 1)) | ((~v129(constB160, 0)) <=> v127(constB159, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB159, constB160)) | (~(((~v129(constB160, 2)) <=> v127(constB159, 2)) | ((~v129(constB160, 1)) <=> v127(constB159, 1)) | ((~v129(constB160, 0)) <=> v127(constB159, 0)))))),
% 6.90/5.08 inference(rewrite,[status(thm)],[])).
% 6.90/5.08 tff(17600,plain,
% 6.90/5.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB159, constB160)) | (~(((~v129(constB160, 2)) <=> v127(constB159, 2)) | ((~v129(constB160, 1)) <=> v127(constB159, 1)) | ((~v129(constB160, 0)) <=> v127(constB159, 0)))))),
% 6.90/5.08 inference(quant_inst,[status(thm)],[])).
% 6.90/5.08 tff(17601,plain,
% 6.90/5.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB159, constB160)) | (~(((~v129(constB160, 2)) <=> v127(constB159, 2)) | ((~v129(constB160, 1)) <=> v127(constB159, 1)) | ((~v129(constB160, 0)) <=> v127(constB159, 0))))),
% 6.90/5.08 inference(modus_ponens,[status(thm)],[17600, 17599])).
% 6.90/5.08 tff(17602,plain,
% 6.90/5.08 (~(((~v129(constB160, 2)) <=> v127(constB159, 2)) | ((~v129(constB160, 1)) <=> v127(constB159, 1)) | ((~v129(constB160, 0)) <=> v127(constB159, 0)))),
% 6.90/5.08 inference(unit_resolution,[status(thm)],[17601, 17598, 348])).
% 6.90/5.08 tff(17603,plain,
% 6.90/5.08 ((((~v129(constB160, 2)) <=> v127(constB159, 2)) | ((~v129(constB160, 1)) <=> v127(constB159, 1)) | ((~v129(constB160, 0)) <=> v127(constB159, 0))) | (~((~v129(constB160, 2)) <=> v127(constB159, 2)))),
% 6.90/5.08 inference(tautology,[status(thm)],[])).
% 6.90/5.08 tff(17604,plain,
% 6.90/5.08 (~((~v129(constB160, 2)) <=> v127(constB159, 2))),
% 6.90/5.08 inference(unit_resolution,[status(thm)],[17603, 17602])).
% 6.90/5.08 tff(17605,plain,
% 6.90/5.08 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB159) <=> v26(constB159))),
% 6.90/5.08 inference(quant_inst,[status(thm)],[])).
% 6.90/5.08 tff(17606,plain,
% 6.90/5.08 (v111(constB159) <=> v26(constB159)),
% 6.90/5.08 inference(unit_resolution,[status(thm)],[17605, 367])).
% 6.90/5.08 tff(17607,plain,
% 6.90/5.08 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB159))),
% 6.90/5.08 inference(quant_inst,[status(thm)],[])).
% 6.90/5.08 tff(17608,plain,
% 6.90/5.08 (~v26(constB159)),
% 6.90/5.08 inference(unit_resolution,[status(thm)],[17607, 379])).
% 6.90/5.08 tff(17609,plain,
% 6.90/5.08 ((~(v111(constB159) <=> v26(constB159))) | (~v111(constB159)) | v26(constB159)),
% 6.90/5.08 inference(tautology,[status(thm)],[])).
% 6.90/5.08 tff(17610,plain,
% 6.90/5.08 ((~(v111(constB159) <=> v26(constB159))) | (~v111(constB159))),
% 6.90/5.08 inference(unit_resolution,[status(thm)],[17609, 17608])).
% 6.90/5.08 tff(17611,plain,
% 6.90/5.08 (~v111(constB159)),
% 6.90/5.08 inference(unit_resolution,[status(thm)],[17610, 17606])).
% 6.90/5.08 tff(17612,plain,
% 6.90/5.08 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB159) | (~(((~v127(constB159, 2)) <=> v130(constB159, 2)) | ((~v127(constB159, 1)) <=> v130(constB159, 1)) | ((~v127(constB159, 0)) <=> v130(constB159, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB159) | (~(((~v127(constB159, 2)) <=> v130(constB159, 2)) | ((~v127(constB159, 1)) <=> v130(constB159, 1)) | ((~v127(constB159, 0)) <=> v130(constB159, 0)))))),
% 6.90/5.08 inference(rewrite,[status(thm)],[])).
% 6.90/5.08 tff(17613,plain,
% 6.90/5.08 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB159) | (~(((~v127(constB159, 2)) <=> v130(constB159, 2)) | ((~v127(constB159, 1)) <=> v130(constB159, 1)) | ((~v127(constB159, 0)) <=> v130(constB159, 0)))))),
% 6.90/5.08 inference(quant_inst,[status(thm)],[])).
% 6.90/5.08 tff(17614,plain,
% 6.90/5.08 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB159) | (~(((~v127(constB159, 2)) <=> v130(constB159, 2)) | ((~v127(constB159, 1)) <=> v130(constB159, 1)) | ((~v127(constB159, 0)) <=> v130(constB159, 0))))),
% 6.90/5.08 inference(modus_ponens,[status(thm)],[17613, 17612])).
% 6.90/5.08 tff(17615,plain,
% 6.90/5.08 (v111(constB159) | (~(((~v127(constB159, 2)) <=> v130(constB159, 2)) | ((~v127(constB159, 1)) <=> v130(constB159, 1)) | ((~v127(constB159, 0)) <=> v130(constB159, 0))))),
% 6.90/5.08 inference(unit_resolution,[status(thm)],[17614, 397])).
% 6.90/5.08 tff(17616,plain,
% 6.90/5.08 (~(((~v127(constB159, 2)) <=> v130(constB159, 2)) | ((~v127(constB159, 1)) <=> v130(constB159, 1)) | ((~v127(constB159, 0)) <=> v130(constB159, 0)))),
% 6.90/5.08 inference(unit_resolution,[status(thm)],[17615, 17611])).
% 6.90/5.08 tff(17617,plain,
% 6.90/5.08 ((((~v127(constB159, 2)) <=> v130(constB159, 2)) | ((~v127(constB159, 1)) <=> v130(constB159, 1)) | ((~v127(constB159, 0)) <=> v130(constB159, 0))) | (~((~v127(constB159, 2)) <=> v130(constB159, 2)))),
% 6.90/5.08 inference(tautology,[status(thm)],[])).
% 6.90/5.08 tff(17618,plain,
% 6.90/5.08 (~((~v127(constB159, 2)) <=> v130(constB159, 2))),
% 6.90/5.08 inference(unit_resolution,[status(thm)],[17617, 17616])).
% 6.90/5.08 tff(17619,plain,
% 6.90/5.08 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB159) <=> (~(v90(constB159, 2) | v90(constB159, 0) | (~v90(constB159, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB159) <=> (~(v90(constB159, 2) | v90(constB159, 0) | (~v90(constB159, 1))))))),
% 6.90/5.08 inference(rewrite,[status(thm)],[])).
% 6.90/5.08 tff(17620,plain,
% 6.90/5.08 ((v121(constB159) <=> (~(v90(constB159, 0) | v90(constB159, 2) | (~v90(constB159, 1))))) <=> (v121(constB159) <=> (~(v90(constB159, 2) | v90(constB159, 0) | (~v90(constB159, 1)))))),
% 6.90/5.08 inference(rewrite,[status(thm)],[])).
% 6.90/5.08 tff(17621,plain,
% 6.90/5.08 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB159) <=> (~(v90(constB159, 0) | v90(constB159, 2) | (~v90(constB159, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB159) <=> (~(v90(constB159, 2) | v90(constB159, 0) | (~v90(constB159, 1))))))),
% 6.90/5.08 inference(monotonicity,[status(thm)],[17620])).
% 6.90/5.08 tff(17622,plain,
% 6.90/5.08 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB159) <=> (~(v90(constB159, 0) | v90(constB159, 2) | (~v90(constB159, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB159) <=> (~(v90(constB159, 2) | v90(constB159, 0) | (~v90(constB159, 1))))))),
% 6.90/5.08 inference(transitivity,[status(thm)],[17621, 17619])).
% 6.90/5.08 tff(17623,plain,
% 6.90/5.08 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB159) <=> (~(v90(constB159, 0) | v90(constB159, 2) | (~v90(constB159, 1)))))),
% 6.90/5.08 inference(quant_inst,[status(thm)],[])).
% 6.90/5.08 tff(17624,plain,
% 6.90/5.08 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB159) <=> (~(v90(constB159, 2) | v90(constB159, 0) | (~v90(constB159, 1)))))),
% 6.90/5.08 inference(modus_ponens,[status(thm)],[17623, 17622])).
% 6.90/5.08 tff(17625,plain,
% 6.90/5.08 (v121(constB159) <=> (~(v90(constB159, 2) | v90(constB159, 0) | (~v90(constB159, 1))))),
% 6.90/5.08 inference(unit_resolution,[status(thm)],[17624, 723])).
% 6.90/5.08 tff(17626,plain,
% 6.90/5.08 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 6.90/5.08 inference(rewrite,[status(thm)],[])).
% 6.90/5.08 tff(17627,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_158')).
% 6.90/5.08 tff(17628,plain,
% 6.90/5.08 (nextState(constB158, constB159)),
% 6.90/5.08 inference(modus_ponens,[status(thm)],[17627, 17626])).
% 6.90/5.08 tff(17629,plain,
% 6.90/5.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))))),
% 6.90/5.08 inference(rewrite,[status(thm)],[])).
% 6.90/5.08 tff(17630,plain,
% 6.90/5.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))))),
% 6.90/5.08 inference(quant_inst,[status(thm)],[])).
% 6.90/5.08 tff(17631,plain,
% 6.90/5.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159)))))),
% 6.90/5.08 inference(modus_ponens,[status(thm)],[17630, 17629])).
% 6.90/5.08 tff(17632,plain,
% 6.90/5.08 (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))),
% 6.90/5.08 inference(unit_resolution,[status(thm)],[17631, 17628, 273])).
% 6.90/5.08 tff(17633,plain,
% 6.90/5.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))),
% 6.90/5.08 inference(rewrite,[status(thm)],[])).
% 6.90/5.08 tff(17634,plain,
% 6.90/5.08 (((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159)))))) <=> ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))),
% 6.90/5.08 inference(rewrite,[status(thm)],[])).
% 6.90/5.08 tff(17635,plain,
% 6.90/5.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))))),
% 6.90/5.08 inference(monotonicity,[status(thm)],[17634])).
% 6.90/5.08 tff(17636,plain,
% 6.90/5.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))),
% 6.90/5.09 inference(transitivity,[status(thm)],[17635, 17633])).
% 6.90/5.09 tff(17637,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159))))))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17638,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17637, 17636])).
% 6.90/5.09 tff(17639,plain,
% 6.90/5.09 (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17638, 17628, 293])).
% 6.90/5.09 tff(17640,plain,
% 6.90/5.09 ((~v1(constB159)) <=> (~v1(constB159))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17641,axiom,(~v1(constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_159')).
% 6.90/5.09 tff(17642,plain,
% 6.90/5.09 (~v1(constB159)),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17641, 17640])).
% 6.90/5.09 tff(17643,plain,
% 6.90/5.09 (((~v1(constB159)) | (~v102(constB159))) | v1(constB159)),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17644,plain,
% 6.90/5.09 ((~v1(constB159)) | (~v102(constB159))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17643, 17642])).
% 6.90/5.09 tff(17645,plain,
% 6.90/5.09 ((~(v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))) | (~v101(constB159)) | (~((~v1(constB159)) | (~v102(constB159))))),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17646,plain,
% 6.90/5.09 ((~(v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))) | (~v101(constB159))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17645, 17644])).
% 6.90/5.09 tff(17647,plain,
% 6.90/5.09 (~v101(constB159)),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17646, 17639])).
% 6.90/5.09 tff(17648,plain,
% 6.90/5.09 (((~v101(constB159)) | (~v110(constB159))) | v101(constB159)),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17649,plain,
% 6.90/5.09 ((~v101(constB159)) | (~v110(constB159))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17648, 17647])).
% 6.90/5.09 tff(17650,plain,
% 6.90/5.09 ((~(v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159)))))) | (~v100(constB159)) | (~((~v101(constB159)) | (~v110(constB159))))),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17651,plain,
% 6.90/5.09 (~v100(constB159)),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17650, 17649, 17632])).
% 6.90/5.09 tff(17652,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 0)) <=> v90(constB158, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 0)) <=> v90(constB158, 0)))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17653,plain,
% 6.90/5.09 ((v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 0)) <=> v90(constB158, 0))))) <=> (v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 0)) <=> v90(constB158, 0)))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17654,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 0)) <=> v90(constB158, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 0)) <=> v90(constB158, 0))))))),
% 6.90/5.09 inference(monotonicity,[status(thm)],[17653])).
% 6.90/5.09 tff(17655,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 0)) <=> v90(constB158, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 0)) <=> v90(constB158, 0)))))),
% 6.90/5.09 inference(transitivity,[status(thm)],[17654, 17652])).
% 6.90/5.09 tff(17656,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 0)) <=> v90(constB158, 0)))))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17657,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 0)) <=> v90(constB158, 0))))),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17656, 17655])).
% 6.90/5.09 tff(17658,plain,
% 6.90/5.09 (v100(constB159) | (~(((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 0)) <=> v90(constB158, 0))))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17657, 17628, 325])).
% 6.90/5.09 tff(17659,plain,
% 6.90/5.09 (~(((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 0)) <=> v90(constB158, 0)))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17658, 17651])).
% 6.90/5.09 tff(17660,plain,
% 6.90/5.09 ((((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 0)) <=> v90(constB158, 0))) | (~((~v90(constB159, 2)) <=> v90(constB158, 2)))),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17661,plain,
% 6.90/5.09 (~((~v90(constB159, 2)) <=> v90(constB158, 2))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17660, 17659])).
% 6.90/5.09 tff(17662,plain,
% 6.90/5.09 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17663,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_157')).
% 6.90/5.09 tff(17664,plain,
% 6.90/5.09 (nextState(constB157, constB158)),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17663, 17662])).
% 6.90/5.09 tff(17665,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB157, constB158)) | (~(((~v129(constB158, 2)) <=> v127(constB157, 2)) | ((~v129(constB158, 1)) <=> v127(constB157, 1)) | ((~v129(constB158, 0)) <=> v127(constB157, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB157, constB158)) | (~(((~v129(constB158, 2)) <=> v127(constB157, 2)) | ((~v129(constB158, 1)) <=> v127(constB157, 1)) | ((~v129(constB158, 0)) <=> v127(constB157, 0)))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17666,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB157, constB158)) | (~(((~v129(constB158, 2)) <=> v127(constB157, 2)) | ((~v129(constB158, 1)) <=> v127(constB157, 1)) | ((~v129(constB158, 0)) <=> v127(constB157, 0)))))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17667,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB157, constB158)) | (~(((~v129(constB158, 2)) <=> v127(constB157, 2)) | ((~v129(constB158, 1)) <=> v127(constB157, 1)) | ((~v129(constB158, 0)) <=> v127(constB157, 0))))),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17666, 17665])).
% 6.90/5.09 tff(17668,plain,
% 6.90/5.09 (~(((~v129(constB158, 2)) <=> v127(constB157, 2)) | ((~v129(constB158, 1)) <=> v127(constB157, 1)) | ((~v129(constB158, 0)) <=> v127(constB157, 0)))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17667, 17664, 348])).
% 6.90/5.09 tff(17669,plain,
% 6.90/5.09 ((((~v129(constB158, 2)) <=> v127(constB157, 2)) | ((~v129(constB158, 1)) <=> v127(constB157, 1)) | ((~v129(constB158, 0)) <=> v127(constB157, 0))) | (~((~v129(constB158, 2)) <=> v127(constB157, 2)))),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17670,plain,
% 6.90/5.09 (~((~v129(constB158, 2)) <=> v127(constB157, 2))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17669, 17668])).
% 6.90/5.09 tff(17671,plain,
% 6.90/5.09 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB157) <=> v26(constB157))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17672,plain,
% 6.90/5.09 (v111(constB157) <=> v26(constB157)),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17671, 367])).
% 6.90/5.09 tff(17673,plain,
% 6.90/5.09 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB157))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17674,plain,
% 6.90/5.09 (~v26(constB157)),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17673, 379])).
% 6.90/5.09 tff(17675,plain,
% 6.90/5.09 ((~(v111(constB157) <=> v26(constB157))) | (~v111(constB157)) | v26(constB157)),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17676,plain,
% 6.90/5.09 ((~(v111(constB157) <=> v26(constB157))) | (~v111(constB157))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17675, 17674])).
% 6.90/5.09 tff(17677,plain,
% 6.90/5.09 (~v111(constB157)),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17676, 17672])).
% 6.90/5.09 tff(17678,plain,
% 6.90/5.09 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB157) | (~(((~v127(constB157, 2)) <=> v130(constB157, 2)) | ((~v127(constB157, 1)) <=> v130(constB157, 1)) | ((~v127(constB157, 0)) <=> v130(constB157, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB157) | (~(((~v127(constB157, 2)) <=> v130(constB157, 2)) | ((~v127(constB157, 1)) <=> v130(constB157, 1)) | ((~v127(constB157, 0)) <=> v130(constB157, 0)))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17679,plain,
% 6.90/5.09 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB157) | (~(((~v127(constB157, 2)) <=> v130(constB157, 2)) | ((~v127(constB157, 1)) <=> v130(constB157, 1)) | ((~v127(constB157, 0)) <=> v130(constB157, 0)))))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17680,plain,
% 6.90/5.09 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB157) | (~(((~v127(constB157, 2)) <=> v130(constB157, 2)) | ((~v127(constB157, 1)) <=> v130(constB157, 1)) | ((~v127(constB157, 0)) <=> v130(constB157, 0))))),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17679, 17678])).
% 6.90/5.09 tff(17681,plain,
% 6.90/5.09 (v111(constB157) | (~(((~v127(constB157, 2)) <=> v130(constB157, 2)) | ((~v127(constB157, 1)) <=> v130(constB157, 1)) | ((~v127(constB157, 0)) <=> v130(constB157, 0))))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17680, 397])).
% 6.90/5.09 tff(17682,plain,
% 6.90/5.09 (~(((~v127(constB157, 2)) <=> v130(constB157, 2)) | ((~v127(constB157, 1)) <=> v130(constB157, 1)) | ((~v127(constB157, 0)) <=> v130(constB157, 0)))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17681, 17677])).
% 6.90/5.09 tff(17683,plain,
% 6.90/5.09 ((((~v127(constB157, 2)) <=> v130(constB157, 2)) | ((~v127(constB157, 1)) <=> v130(constB157, 1)) | ((~v127(constB157, 0)) <=> v130(constB157, 0))) | (~((~v127(constB157, 2)) <=> v130(constB157, 2)))),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17684,plain,
% 6.90/5.09 (~((~v127(constB157, 2)) <=> v130(constB157, 2))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17683, 17682])).
% 6.90/5.09 tff(17685,plain,
% 6.90/5.09 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB157) <=> (~(v90(constB157, 1) | v90(constB157, 2) | (~v90(constB157, 0)))))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17686,plain,
% 6.90/5.09 (v120(constB157) <=> (~(v90(constB157, 1) | v90(constB157, 2) | (~v90(constB157, 0))))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17685, 417])).
% 6.90/5.09 tff(17687,plain,
% 6.90/5.09 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17688,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_156')).
% 6.90/5.09 tff(17689,plain,
% 6.90/5.09 (nextState(constB156, constB157)),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17688, 17687])).
% 6.90/5.09 tff(17690,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17691,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17692,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157)))))),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17691, 17690])).
% 6.90/5.09 tff(17693,plain,
% 6.90/5.09 (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17692, 17689, 273])).
% 6.90/5.09 tff(17694,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17695,plain,
% 6.90/5.09 (((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157)))))) <=> ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17696,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))))),
% 6.90/5.09 inference(monotonicity,[status(thm)],[17695])).
% 6.90/5.09 tff(17697,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))),
% 6.90/5.09 inference(transitivity,[status(thm)],[17696, 17694])).
% 6.90/5.09 tff(17698,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157))))))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17699,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17698, 17697])).
% 6.90/5.09 tff(17700,plain,
% 6.90/5.09 (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17699, 17689, 293])).
% 6.90/5.09 tff(17701,plain,
% 6.90/5.09 ((~v1(constB157)) <=> (~v1(constB157))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17702,axiom,(~v1(constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_157')).
% 6.90/5.09 tff(17703,plain,
% 6.90/5.09 (~v1(constB157)),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17702, 17701])).
% 6.90/5.09 tff(17704,plain,
% 6.90/5.09 (((~v1(constB157)) | (~v102(constB157))) | v1(constB157)),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17705,plain,
% 6.90/5.09 ((~v1(constB157)) | (~v102(constB157))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17704, 17703])).
% 6.90/5.09 tff(17706,plain,
% 6.90/5.09 ((~(v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))) | (~v101(constB157)) | (~((~v1(constB157)) | (~v102(constB157))))),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17707,plain,
% 6.90/5.09 ((~(v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))) | (~v101(constB157))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17706, 17705])).
% 6.90/5.09 tff(17708,plain,
% 6.90/5.09 (~v101(constB157)),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17707, 17700])).
% 6.90/5.09 tff(17709,plain,
% 6.90/5.09 (((~v101(constB157)) | (~v110(constB157))) | v101(constB157)),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17710,plain,
% 6.90/5.09 ((~v101(constB157)) | (~v110(constB157))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17709, 17708])).
% 6.90/5.09 tff(17711,plain,
% 6.90/5.09 ((~(v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157)))))) | (~v100(constB157)) | (~((~v101(constB157)) | (~v110(constB157))))),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17712,plain,
% 6.90/5.09 (~v100(constB157)),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17711, 17710, 17693])).
% 6.90/5.09 tff(17713,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 0)) <=> v90(constB156, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 0)) <=> v90(constB156, 0)))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17714,plain,
% 6.90/5.09 ((v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 0)) <=> v90(constB156, 0))))) <=> (v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 0)) <=> v90(constB156, 0)))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17715,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 0)) <=> v90(constB156, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 0)) <=> v90(constB156, 0))))))),
% 6.90/5.09 inference(monotonicity,[status(thm)],[17714])).
% 6.90/5.09 tff(17716,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 0)) <=> v90(constB156, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 0)) <=> v90(constB156, 0)))))),
% 6.90/5.09 inference(transitivity,[status(thm)],[17715, 17713])).
% 6.90/5.09 tff(17717,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 0)) <=> v90(constB156, 0)))))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17718,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 0)) <=> v90(constB156, 0))))),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17717, 17716])).
% 6.90/5.09 tff(17719,plain,
% 6.90/5.09 (v100(constB157) | (~(((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 0)) <=> v90(constB156, 0))))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17718, 17689, 325])).
% 6.90/5.09 tff(17720,plain,
% 6.90/5.09 (~(((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 0)) <=> v90(constB156, 0)))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17719, 17712])).
% 6.90/5.09 tff(17721,plain,
% 6.90/5.09 ((((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 0)) <=> v90(constB156, 0))) | (~((~v90(constB157, 2)) <=> v90(constB156, 2)))),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17722,plain,
% 6.90/5.09 (~((~v90(constB157, 2)) <=> v90(constB156, 2))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17721, 17720])).
% 6.90/5.09 tff(17723,plain,
% 6.90/5.09 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17724,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_155')).
% 6.90/5.09 tff(17725,plain,
% 6.90/5.09 (nextState(constB155, constB156)),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17724, 17723])).
% 6.90/5.09 tff(17726,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB155, constB156)) | (~(((~v129(constB156, 2)) <=> v127(constB155, 2)) | ((~v129(constB156, 1)) <=> v127(constB155, 1)) | ((~v129(constB156, 0)) <=> v127(constB155, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB155, constB156)) | (~(((~v129(constB156, 2)) <=> v127(constB155, 2)) | ((~v129(constB156, 1)) <=> v127(constB155, 1)) | ((~v129(constB156, 0)) <=> v127(constB155, 0)))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17727,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB155, constB156)) | (~(((~v129(constB156, 2)) <=> v127(constB155, 2)) | ((~v129(constB156, 1)) <=> v127(constB155, 1)) | ((~v129(constB156, 0)) <=> v127(constB155, 0)))))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17728,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB155, constB156)) | (~(((~v129(constB156, 2)) <=> v127(constB155, 2)) | ((~v129(constB156, 1)) <=> v127(constB155, 1)) | ((~v129(constB156, 0)) <=> v127(constB155, 0))))),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17727, 17726])).
% 6.90/5.09 tff(17729,plain,
% 6.90/5.09 (~(((~v129(constB156, 2)) <=> v127(constB155, 2)) | ((~v129(constB156, 1)) <=> v127(constB155, 1)) | ((~v129(constB156, 0)) <=> v127(constB155, 0)))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17728, 17725, 348])).
% 6.90/5.09 tff(17730,plain,
% 6.90/5.09 ((((~v129(constB156, 2)) <=> v127(constB155, 2)) | ((~v129(constB156, 1)) <=> v127(constB155, 1)) | ((~v129(constB156, 0)) <=> v127(constB155, 0))) | (~((~v129(constB156, 2)) <=> v127(constB155, 2)))),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17731,plain,
% 6.90/5.09 (~((~v129(constB156, 2)) <=> v127(constB155, 2))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17730, 17729])).
% 6.90/5.09 tff(17732,plain,
% 6.90/5.09 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB155) <=> v26(constB155))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17733,plain,
% 6.90/5.09 (v111(constB155) <=> v26(constB155)),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17732, 367])).
% 6.90/5.09 tff(17734,plain,
% 6.90/5.09 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB155))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17735,plain,
% 6.90/5.09 (~v26(constB155)),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17734, 379])).
% 6.90/5.09 tff(17736,plain,
% 6.90/5.09 ((~(v111(constB155) <=> v26(constB155))) | (~v111(constB155)) | v26(constB155)),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17737,plain,
% 6.90/5.09 ((~(v111(constB155) <=> v26(constB155))) | (~v111(constB155))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17736, 17735])).
% 6.90/5.09 tff(17738,plain,
% 6.90/5.09 (~v111(constB155)),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17737, 17733])).
% 6.90/5.09 tff(17739,plain,
% 6.90/5.09 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB155) | (~(((~v127(constB155, 2)) <=> v130(constB155, 2)) | ((~v127(constB155, 1)) <=> v130(constB155, 1)) | ((~v127(constB155, 0)) <=> v130(constB155, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB155) | (~(((~v127(constB155, 2)) <=> v130(constB155, 2)) | ((~v127(constB155, 1)) <=> v130(constB155, 1)) | ((~v127(constB155, 0)) <=> v130(constB155, 0)))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17740,plain,
% 6.90/5.09 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB155) | (~(((~v127(constB155, 2)) <=> v130(constB155, 2)) | ((~v127(constB155, 1)) <=> v130(constB155, 1)) | ((~v127(constB155, 0)) <=> v130(constB155, 0)))))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17741,plain,
% 6.90/5.09 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB155) | (~(((~v127(constB155, 2)) <=> v130(constB155, 2)) | ((~v127(constB155, 1)) <=> v130(constB155, 1)) | ((~v127(constB155, 0)) <=> v130(constB155, 0))))),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17740, 17739])).
% 6.90/5.09 tff(17742,plain,
% 6.90/5.09 (v111(constB155) | (~(((~v127(constB155, 2)) <=> v130(constB155, 2)) | ((~v127(constB155, 1)) <=> v130(constB155, 1)) | ((~v127(constB155, 0)) <=> v130(constB155, 0))))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17741, 397])).
% 6.90/5.09 tff(17743,plain,
% 6.90/5.09 (~(((~v127(constB155, 2)) <=> v130(constB155, 2)) | ((~v127(constB155, 1)) <=> v130(constB155, 1)) | ((~v127(constB155, 0)) <=> v130(constB155, 0)))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17742, 17738])).
% 6.90/5.09 tff(17744,plain,
% 6.90/5.09 ((((~v127(constB155, 2)) <=> v130(constB155, 2)) | ((~v127(constB155, 1)) <=> v130(constB155, 1)) | ((~v127(constB155, 0)) <=> v130(constB155, 0))) | (~((~v127(constB155, 2)) <=> v130(constB155, 2)))),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17745,plain,
% 6.90/5.09 (~((~v127(constB155, 2)) <=> v130(constB155, 2))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17744, 17743])).
% 6.90/5.09 tff(17746,plain,
% 6.90/5.09 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB155) <=> (~(v90(constB155, 1) | v90(constB155, 2) | (~v90(constB155, 0)))))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17747,plain,
% 6.90/5.09 (v120(constB155) <=> (~(v90(constB155, 1) | v90(constB155, 2) | (~v90(constB155, 0))))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17746, 417])).
% 6.90/5.09 tff(17748,plain,
% 6.90/5.09 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17749,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_154')).
% 6.90/5.09 tff(17750,plain,
% 6.90/5.09 (nextState(constB154, constB155)),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17749, 17748])).
% 6.90/5.09 tff(17751,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17752,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17753,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155)))))),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17752, 17751])).
% 6.90/5.09 tff(17754,plain,
% 6.90/5.09 (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17753, 17750, 273])).
% 6.90/5.09 tff(17755,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17756,plain,
% 6.90/5.09 (((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155)))))) <=> ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17757,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))))),
% 6.90/5.09 inference(monotonicity,[status(thm)],[17756])).
% 6.90/5.09 tff(17758,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))),
% 6.90/5.09 inference(transitivity,[status(thm)],[17757, 17755])).
% 6.90/5.09 tff(17759,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155))))))),
% 6.90/5.09 inference(quant_inst,[status(thm)],[])).
% 6.90/5.09 tff(17760,plain,
% 6.90/5.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17759, 17758])).
% 6.90/5.09 tff(17761,plain,
% 6.90/5.09 (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17760, 17750, 293])).
% 6.90/5.09 tff(17762,plain,
% 6.90/5.09 ((~v1(constB155)) <=> (~v1(constB155))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17763,axiom,(~v1(constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_155')).
% 6.90/5.09 tff(17764,plain,
% 6.90/5.09 (~v1(constB155)),
% 6.90/5.09 inference(modus_ponens,[status(thm)],[17763, 17762])).
% 6.90/5.09 tff(17765,plain,
% 6.90/5.09 (((~v1(constB155)) | (~v102(constB155))) | v1(constB155)),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17766,plain,
% 6.90/5.09 ((~v1(constB155)) | (~v102(constB155))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17765, 17764])).
% 6.90/5.09 tff(17767,plain,
% 6.90/5.09 ((~(v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))) | (~v101(constB155)) | (~((~v1(constB155)) | (~v102(constB155))))),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17768,plain,
% 6.90/5.09 ((~(v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))) | (~v101(constB155))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17767, 17766])).
% 6.90/5.09 tff(17769,plain,
% 6.90/5.09 (~v101(constB155)),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17768, 17761])).
% 6.90/5.09 tff(17770,plain,
% 6.90/5.09 (((~v101(constB155)) | (~v110(constB155))) | v101(constB155)),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17771,plain,
% 6.90/5.09 ((~v101(constB155)) | (~v110(constB155))),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17770, 17769])).
% 6.90/5.09 tff(17772,plain,
% 6.90/5.09 ((~(v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155)))))) | (~v100(constB155)) | (~((~v101(constB155)) | (~v110(constB155))))),
% 6.90/5.09 inference(tautology,[status(thm)],[])).
% 6.90/5.09 tff(17773,plain,
% 6.90/5.09 (~v100(constB155)),
% 6.90/5.09 inference(unit_resolution,[status(thm)],[17772, 17771, 17754])).
% 6.90/5.09 tff(17774,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 0)) <=> v90(constB154, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 0)) <=> v90(constB154, 0)))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17775,plain,
% 6.90/5.09 ((v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 0)) <=> v90(constB154, 0))))) <=> (v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 0)) <=> v90(constB154, 0)))))),
% 6.90/5.09 inference(rewrite,[status(thm)],[])).
% 6.90/5.09 tff(17776,plain,
% 6.90/5.09 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 0)) <=> v90(constB154, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 0)) <=> v90(constB154, 0))))))),
% 6.90/5.10 inference(monotonicity,[status(thm)],[17775])).
% 6.90/5.10 tff(17777,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 0)) <=> v90(constB154, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 0)) <=> v90(constB154, 0)))))),
% 6.90/5.10 inference(transitivity,[status(thm)],[17776, 17774])).
% 6.90/5.10 tff(17778,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 0)) <=> v90(constB154, 0)))))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17779,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 0)) <=> v90(constB154, 0))))),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17778, 17777])).
% 6.90/5.10 tff(17780,plain,
% 6.90/5.10 (v100(constB155) | (~(((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 0)) <=> v90(constB154, 0))))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17779, 17750, 325])).
% 6.90/5.10 tff(17781,plain,
% 6.90/5.10 (~(((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 0)) <=> v90(constB154, 0)))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17780, 17773])).
% 6.90/5.10 tff(17782,plain,
% 6.90/5.10 ((((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 0)) <=> v90(constB154, 0))) | (~((~v90(constB155, 0)) <=> v90(constB154, 0)))),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17783,plain,
% 6.90/5.10 (~((~v90(constB155, 0)) <=> v90(constB154, 0))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17782, 17781])).
% 6.90/5.10 tff(17784,plain,
% 6.90/5.10 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17785,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_153')).
% 6.90/5.10 tff(17786,plain,
% 6.90/5.10 (nextState(constB153, constB154)),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17785, 17784])).
% 6.90/5.10 tff(17787,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB153, constB154)) | (~(((~v129(constB154, 2)) <=> v127(constB153, 2)) | ((~v129(constB154, 1)) <=> v127(constB153, 1)) | ((~v129(constB154, 0)) <=> v127(constB153, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB153, constB154)) | (~(((~v129(constB154, 2)) <=> v127(constB153, 2)) | ((~v129(constB154, 1)) <=> v127(constB153, 1)) | ((~v129(constB154, 0)) <=> v127(constB153, 0)))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17788,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB153, constB154)) | (~(((~v129(constB154, 2)) <=> v127(constB153, 2)) | ((~v129(constB154, 1)) <=> v127(constB153, 1)) | ((~v129(constB154, 0)) <=> v127(constB153, 0)))))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17789,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB153, constB154)) | (~(((~v129(constB154, 2)) <=> v127(constB153, 2)) | ((~v129(constB154, 1)) <=> v127(constB153, 1)) | ((~v129(constB154, 0)) <=> v127(constB153, 0))))),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17788, 17787])).
% 6.90/5.10 tff(17790,plain,
% 6.90/5.10 (~(((~v129(constB154, 2)) <=> v127(constB153, 2)) | ((~v129(constB154, 1)) <=> v127(constB153, 1)) | ((~v129(constB154, 0)) <=> v127(constB153, 0)))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17789, 17786, 348])).
% 6.90/5.10 tff(17791,plain,
% 6.90/5.10 ((((~v129(constB154, 2)) <=> v127(constB153, 2)) | ((~v129(constB154, 1)) <=> v127(constB153, 1)) | ((~v129(constB154, 0)) <=> v127(constB153, 0))) | (~((~v129(constB154, 0)) <=> v127(constB153, 0)))),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17792,plain,
% 6.90/5.10 (~((~v129(constB154, 0)) <=> v127(constB153, 0))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17791, 17790])).
% 6.90/5.10 tff(17793,plain,
% 6.90/5.10 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB153) <=> v26(constB153))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17794,plain,
% 6.90/5.10 (v111(constB153) <=> v26(constB153)),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17793, 367])).
% 6.90/5.10 tff(17795,plain,
% 6.90/5.10 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB153))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17796,plain,
% 6.90/5.10 (~v26(constB153)),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17795, 379])).
% 6.90/5.10 tff(17797,plain,
% 6.90/5.10 ((~(v111(constB153) <=> v26(constB153))) | (~v111(constB153)) | v26(constB153)),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17798,plain,
% 6.90/5.10 ((~(v111(constB153) <=> v26(constB153))) | (~v111(constB153))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17797, 17796])).
% 6.90/5.10 tff(17799,plain,
% 6.90/5.10 (~v111(constB153)),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17798, 17794])).
% 6.90/5.10 tff(17800,plain,
% 6.90/5.10 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB153) | (~(((~v127(constB153, 2)) <=> v130(constB153, 2)) | ((~v127(constB153, 1)) <=> v130(constB153, 1)) | ((~v127(constB153, 0)) <=> v130(constB153, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB153) | (~(((~v127(constB153, 2)) <=> v130(constB153, 2)) | ((~v127(constB153, 1)) <=> v130(constB153, 1)) | ((~v127(constB153, 0)) <=> v130(constB153, 0)))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17801,plain,
% 6.90/5.10 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB153) | (~(((~v127(constB153, 2)) <=> v130(constB153, 2)) | ((~v127(constB153, 1)) <=> v130(constB153, 1)) | ((~v127(constB153, 0)) <=> v130(constB153, 0)))))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17802,plain,
% 6.90/5.10 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB153) | (~(((~v127(constB153, 2)) <=> v130(constB153, 2)) | ((~v127(constB153, 1)) <=> v130(constB153, 1)) | ((~v127(constB153, 0)) <=> v130(constB153, 0))))),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17801, 17800])).
% 6.90/5.10 tff(17803,plain,
% 6.90/5.10 (v111(constB153) | (~(((~v127(constB153, 2)) <=> v130(constB153, 2)) | ((~v127(constB153, 1)) <=> v130(constB153, 1)) | ((~v127(constB153, 0)) <=> v130(constB153, 0))))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17802, 397])).
% 6.90/5.10 tff(17804,plain,
% 6.90/5.10 (~(((~v127(constB153, 2)) <=> v130(constB153, 2)) | ((~v127(constB153, 1)) <=> v130(constB153, 1)) | ((~v127(constB153, 0)) <=> v130(constB153, 0)))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17803, 17799])).
% 6.90/5.10 tff(17805,plain,
% 6.90/5.10 ((((~v127(constB153, 2)) <=> v130(constB153, 2)) | ((~v127(constB153, 1)) <=> v130(constB153, 1)) | ((~v127(constB153, 0)) <=> v130(constB153, 0))) | (~((~v127(constB153, 0)) <=> v130(constB153, 0)))),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17806,plain,
% 6.90/5.10 (~((~v127(constB153, 0)) <=> v130(constB153, 0))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17805, 17804])).
% 6.90/5.10 tff(17807,plain,
% 6.90/5.10 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB153) <=> (~(v90(constB153, 1) | v90(constB153, 0) | (~v90(constB153, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB153) <=> (~(v90(constB153, 1) | v90(constB153, 0) | (~v90(constB153, 2))))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17808,plain,
% 6.90/5.10 ((v123(constB153) <=> (~(v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2))))) <=> (v123(constB153) <=> (~(v90(constB153, 1) | v90(constB153, 0) | (~v90(constB153, 2)))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17809,plain,
% 6.90/5.10 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB153) <=> (~(v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB153) <=> (~(v90(constB153, 1) | v90(constB153, 0) | (~v90(constB153, 2))))))),
% 6.90/5.10 inference(monotonicity,[status(thm)],[17808])).
% 6.90/5.10 tff(17810,plain,
% 6.90/5.10 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB153) <=> (~(v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB153) <=> (~(v90(constB153, 1) | v90(constB153, 0) | (~v90(constB153, 2))))))),
% 6.90/5.10 inference(transitivity,[status(thm)],[17809, 17807])).
% 6.90/5.10 tff(17811,plain,
% 6.90/5.10 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB153) <=> (~(v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)))))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17812,plain,
% 6.90/5.10 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB153) <=> (~(v90(constB153, 1) | v90(constB153, 0) | (~v90(constB153, 2)))))),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17811, 17810])).
% 6.90/5.10 tff(17813,plain,
% 6.90/5.10 (v123(constB153) <=> (~(v90(constB153, 1) | v90(constB153, 0) | (~v90(constB153, 2))))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17812, 565])).
% 6.90/5.10 tff(17814,plain,
% 6.90/5.10 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17815,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_152')).
% 6.90/5.10 tff(17816,plain,
% 6.90/5.10 (nextState(constB152, constB153)),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17815, 17814])).
% 6.90/5.10 tff(17817,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17818,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17819,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153)))))),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17818, 17817])).
% 6.90/5.10 tff(17820,plain,
% 6.90/5.10 (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17819, 17816, 273])).
% 6.90/5.10 tff(17821,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17822,plain,
% 6.90/5.10 (((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153)))))) <=> ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17823,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))))),
% 6.90/5.10 inference(monotonicity,[status(thm)],[17822])).
% 6.90/5.10 tff(17824,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))),
% 6.90/5.10 inference(transitivity,[status(thm)],[17823, 17821])).
% 6.90/5.10 tff(17825,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153))))))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17826,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17825, 17824])).
% 6.90/5.10 tff(17827,plain,
% 6.90/5.10 (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17826, 17816, 293])).
% 6.90/5.10 tff(17828,plain,
% 6.90/5.10 ((~v1(constB153)) <=> (~v1(constB153))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17829,axiom,(~v1(constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_153')).
% 6.90/5.10 tff(17830,plain,
% 6.90/5.10 (~v1(constB153)),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17829, 17828])).
% 6.90/5.10 tff(17831,plain,
% 6.90/5.10 (((~v1(constB153)) | (~v102(constB153))) | v1(constB153)),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17832,plain,
% 6.90/5.10 ((~v1(constB153)) | (~v102(constB153))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17831, 17830])).
% 6.90/5.10 tff(17833,plain,
% 6.90/5.10 ((~(v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))) | (~v101(constB153)) | (~((~v1(constB153)) | (~v102(constB153))))),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17834,plain,
% 6.90/5.10 ((~(v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))) | (~v101(constB153))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17833, 17832])).
% 6.90/5.10 tff(17835,plain,
% 6.90/5.10 (~v101(constB153)),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17834, 17827])).
% 6.90/5.10 tff(17836,plain,
% 6.90/5.10 (((~v101(constB153)) | (~v110(constB153))) | v101(constB153)),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17837,plain,
% 6.90/5.10 ((~v101(constB153)) | (~v110(constB153))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17836, 17835])).
% 6.90/5.10 tff(17838,plain,
% 6.90/5.10 ((~(v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153)))))) | (~v100(constB153)) | (~((~v101(constB153)) | (~v110(constB153))))),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17839,plain,
% 6.90/5.10 (~v100(constB153)),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17838, 17837, 17820])).
% 6.90/5.10 tff(17840,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 0)) <=> v90(constB152, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 0)) <=> v90(constB152, 0)))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17841,plain,
% 6.90/5.10 ((v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 0)) <=> v90(constB152, 0))))) <=> (v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 0)) <=> v90(constB152, 0)))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17842,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 0)) <=> v90(constB152, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 0)) <=> v90(constB152, 0))))))),
% 6.90/5.10 inference(monotonicity,[status(thm)],[17841])).
% 6.90/5.10 tff(17843,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 0)) <=> v90(constB152, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 0)) <=> v90(constB152, 0)))))),
% 6.90/5.10 inference(transitivity,[status(thm)],[17842, 17840])).
% 6.90/5.10 tff(17844,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 0)) <=> v90(constB152, 0)))))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17845,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 0)) <=> v90(constB152, 0))))),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17844, 17843])).
% 6.90/5.10 tff(17846,plain,
% 6.90/5.10 (v100(constB153) | (~(((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 0)) <=> v90(constB152, 0))))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17845, 17816, 325])).
% 6.90/5.10 tff(17847,plain,
% 6.90/5.10 (~(((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 0)) <=> v90(constB152, 0)))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17846, 17839])).
% 6.90/5.10 tff(17848,plain,
% 6.90/5.10 ((((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 0)) <=> v90(constB152, 0))) | (~((~v90(constB153, 2)) <=> v90(constB152, 2)))),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17849,plain,
% 6.90/5.10 (~((~v90(constB153, 2)) <=> v90(constB152, 2))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17848, 17847])).
% 6.90/5.10 tff(17850,plain,
% 6.90/5.10 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17851,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_151')).
% 6.90/5.10 tff(17852,plain,
% 6.90/5.10 (nextState(constB151, constB152)),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17851, 17850])).
% 6.90/5.10 tff(17853,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB151, constB152)) | (~(((~v129(constB152, 2)) <=> v127(constB151, 2)) | ((~v129(constB152, 1)) <=> v127(constB151, 1)) | ((~v129(constB152, 0)) <=> v127(constB151, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB151, constB152)) | (~(((~v129(constB152, 2)) <=> v127(constB151, 2)) | ((~v129(constB152, 1)) <=> v127(constB151, 1)) | ((~v129(constB152, 0)) <=> v127(constB151, 0)))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17854,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB151, constB152)) | (~(((~v129(constB152, 2)) <=> v127(constB151, 2)) | ((~v129(constB152, 1)) <=> v127(constB151, 1)) | ((~v129(constB152, 0)) <=> v127(constB151, 0)))))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17855,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB151, constB152)) | (~(((~v129(constB152, 2)) <=> v127(constB151, 2)) | ((~v129(constB152, 1)) <=> v127(constB151, 1)) | ((~v129(constB152, 0)) <=> v127(constB151, 0))))),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17854, 17853])).
% 6.90/5.10 tff(17856,plain,
% 6.90/5.10 (~(((~v129(constB152, 2)) <=> v127(constB151, 2)) | ((~v129(constB152, 1)) <=> v127(constB151, 1)) | ((~v129(constB152, 0)) <=> v127(constB151, 0)))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17855, 17852, 348])).
% 6.90/5.10 tff(17857,plain,
% 6.90/5.10 ((((~v129(constB152, 2)) <=> v127(constB151, 2)) | ((~v129(constB152, 1)) <=> v127(constB151, 1)) | ((~v129(constB152, 0)) <=> v127(constB151, 0))) | (~((~v129(constB152, 2)) <=> v127(constB151, 2)))),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17858,plain,
% 6.90/5.10 (~((~v129(constB152, 2)) <=> v127(constB151, 2))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17857, 17856])).
% 6.90/5.10 tff(17859,plain,
% 6.90/5.10 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB151) <=> v26(constB151))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17860,plain,
% 6.90/5.10 (v111(constB151) <=> v26(constB151)),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17859, 367])).
% 6.90/5.10 tff(17861,plain,
% 6.90/5.10 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB151))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17862,plain,
% 6.90/5.10 (~v26(constB151)),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17861, 379])).
% 6.90/5.10 tff(17863,plain,
% 6.90/5.10 ((~(v111(constB151) <=> v26(constB151))) | (~v111(constB151)) | v26(constB151)),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17864,plain,
% 6.90/5.10 ((~(v111(constB151) <=> v26(constB151))) | (~v111(constB151))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17863, 17862])).
% 6.90/5.10 tff(17865,plain,
% 6.90/5.10 (~v111(constB151)),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17864, 17860])).
% 6.90/5.10 tff(17866,plain,
% 6.90/5.10 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB151) | (~(((~v127(constB151, 2)) <=> v130(constB151, 2)) | ((~v127(constB151, 1)) <=> v130(constB151, 1)) | ((~v127(constB151, 0)) <=> v130(constB151, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB151) | (~(((~v127(constB151, 2)) <=> v130(constB151, 2)) | ((~v127(constB151, 1)) <=> v130(constB151, 1)) | ((~v127(constB151, 0)) <=> v130(constB151, 0)))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17867,plain,
% 6.90/5.10 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB151) | (~(((~v127(constB151, 2)) <=> v130(constB151, 2)) | ((~v127(constB151, 1)) <=> v130(constB151, 1)) | ((~v127(constB151, 0)) <=> v130(constB151, 0)))))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17868,plain,
% 6.90/5.10 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB151) | (~(((~v127(constB151, 2)) <=> v130(constB151, 2)) | ((~v127(constB151, 1)) <=> v130(constB151, 1)) | ((~v127(constB151, 0)) <=> v130(constB151, 0))))),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17867, 17866])).
% 6.90/5.10 tff(17869,plain,
% 6.90/5.10 (v111(constB151) | (~(((~v127(constB151, 2)) <=> v130(constB151, 2)) | ((~v127(constB151, 1)) <=> v130(constB151, 1)) | ((~v127(constB151, 0)) <=> v130(constB151, 0))))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17868, 397])).
% 6.90/5.10 tff(17870,plain,
% 6.90/5.10 (~(((~v127(constB151, 2)) <=> v130(constB151, 2)) | ((~v127(constB151, 1)) <=> v130(constB151, 1)) | ((~v127(constB151, 0)) <=> v130(constB151, 0)))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17869, 17865])).
% 6.90/5.10 tff(17871,plain,
% 6.90/5.10 ((((~v127(constB151, 2)) <=> v130(constB151, 2)) | ((~v127(constB151, 1)) <=> v130(constB151, 1)) | ((~v127(constB151, 0)) <=> v130(constB151, 0))) | (~((~v127(constB151, 2)) <=> v130(constB151, 2)))),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17872,plain,
% 6.90/5.10 (~((~v127(constB151, 2)) <=> v130(constB151, 2))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17871, 17870])).
% 6.90/5.10 tff(17873,plain,
% 6.90/5.10 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB151) <=> (~(v90(constB151, 2) | (~v90(constB151, 1)) | (~v90(constB151, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB151) <=> (~(v90(constB151, 2) | (~v90(constB151, 1)) | (~v90(constB151, 0))))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17874,plain,
% 6.90/5.10 ((v122(constB151) <=> (~(v90(constB151, 2) | (~v90(constB151, 0)) | (~v90(constB151, 1))))) <=> (v122(constB151) <=> (~(v90(constB151, 2) | (~v90(constB151, 1)) | (~v90(constB151, 0)))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17875,plain,
% 6.90/5.10 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB151) <=> (~(v90(constB151, 2) | (~v90(constB151, 0)) | (~v90(constB151, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB151) <=> (~(v90(constB151, 2) | (~v90(constB151, 1)) | (~v90(constB151, 0))))))),
% 6.90/5.10 inference(monotonicity,[status(thm)],[17874])).
% 6.90/5.10 tff(17876,plain,
% 6.90/5.10 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB151) <=> (~(v90(constB151, 2) | (~v90(constB151, 0)) | (~v90(constB151, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB151) <=> (~(v90(constB151, 2) | (~v90(constB151, 1)) | (~v90(constB151, 0))))))),
% 6.90/5.10 inference(transitivity,[status(thm)],[17875, 17873])).
% 6.90/5.10 tff(17877,plain,
% 6.90/5.10 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB151) <=> (~(v90(constB151, 2) | (~v90(constB151, 0)) | (~v90(constB151, 1)))))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17878,plain,
% 6.90/5.10 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB151) <=> (~(v90(constB151, 2) | (~v90(constB151, 1)) | (~v90(constB151, 0)))))),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17877, 17876])).
% 6.90/5.10 tff(17879,plain,
% 6.90/5.10 (v122(constB151) <=> (~(v90(constB151, 2) | (~v90(constB151, 1)) | (~v90(constB151, 0))))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17878, 644])).
% 6.90/5.10 tff(17880,plain,
% 6.90/5.10 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17881,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_150')).
% 6.90/5.10 tff(17882,plain,
% 6.90/5.10 (nextState(constB150, constB151)),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17881, 17880])).
% 6.90/5.10 tff(17883,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17884,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17885,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151)))))),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17884, 17883])).
% 6.90/5.10 tff(17886,plain,
% 6.90/5.10 (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17885, 17882, 273])).
% 6.90/5.10 tff(17887,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17888,plain,
% 6.90/5.10 (((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151)))))) <=> ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17889,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))))),
% 6.90/5.10 inference(monotonicity,[status(thm)],[17888])).
% 6.90/5.10 tff(17890,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))),
% 6.90/5.10 inference(transitivity,[status(thm)],[17889, 17887])).
% 6.90/5.10 tff(17891,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151))))))),
% 6.90/5.10 inference(quant_inst,[status(thm)],[])).
% 6.90/5.10 tff(17892,plain,
% 6.90/5.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17891, 17890])).
% 6.90/5.10 tff(17893,plain,
% 6.90/5.10 (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17892, 17882, 293])).
% 6.90/5.10 tff(17894,plain,
% 6.90/5.10 ((~v1(constB151)) <=> (~v1(constB151))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17895,axiom,(~v1(constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_151')).
% 6.90/5.10 tff(17896,plain,
% 6.90/5.10 (~v1(constB151)),
% 6.90/5.10 inference(modus_ponens,[status(thm)],[17895, 17894])).
% 6.90/5.10 tff(17897,plain,
% 6.90/5.10 (((~v1(constB151)) | (~v102(constB151))) | v1(constB151)),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17898,plain,
% 6.90/5.10 ((~v1(constB151)) | (~v102(constB151))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17897, 17896])).
% 6.90/5.10 tff(17899,plain,
% 6.90/5.10 ((~(v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))) | (~v101(constB151)) | (~((~v1(constB151)) | (~v102(constB151))))),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17900,plain,
% 6.90/5.10 ((~(v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))) | (~v101(constB151))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17899, 17898])).
% 6.90/5.10 tff(17901,plain,
% 6.90/5.10 (~v101(constB151)),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17900, 17893])).
% 6.90/5.10 tff(17902,plain,
% 6.90/5.10 (((~v101(constB151)) | (~v110(constB151))) | v101(constB151)),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17903,plain,
% 6.90/5.10 ((~v101(constB151)) | (~v110(constB151))),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17902, 17901])).
% 6.90/5.10 tff(17904,plain,
% 6.90/5.10 ((~(v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151)))))) | (~v100(constB151)) | (~((~v101(constB151)) | (~v110(constB151))))),
% 6.90/5.10 inference(tautology,[status(thm)],[])).
% 6.90/5.10 tff(17905,plain,
% 6.90/5.10 (~v100(constB151)),
% 6.90/5.10 inference(unit_resolution,[status(thm)],[17904, 17903, 17886])).
% 6.90/5.10 tff(17906,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 0)) <=> v90(constB150, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 0)) <=> v90(constB150, 0)))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17907,plain,
% 6.90/5.10 ((v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 0)) <=> v90(constB150, 0))))) <=> (v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 0)) <=> v90(constB150, 0)))))),
% 6.90/5.10 inference(rewrite,[status(thm)],[])).
% 6.90/5.10 tff(17908,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 0)) <=> v90(constB150, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 0)) <=> v90(constB150, 0))))))),
% 6.90/5.10 inference(monotonicity,[status(thm)],[17907])).
% 6.90/5.10 tff(17909,plain,
% 6.90/5.10 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 0)) <=> v90(constB150, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 0)) <=> v90(constB150, 0)))))),
% 6.90/5.11 inference(transitivity,[status(thm)],[17908, 17906])).
% 6.90/5.11 tff(17910,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 0)) <=> v90(constB150, 0)))))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(17911,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 0)) <=> v90(constB150, 0))))),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[17910, 17909])).
% 6.90/5.11 tff(17912,plain,
% 6.90/5.11 (v100(constB151) | (~(((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 0)) <=> v90(constB150, 0))))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17911, 17882, 325])).
% 6.90/5.11 tff(17913,plain,
% 6.90/5.11 (~(((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 0)) <=> v90(constB150, 0)))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17912, 17905])).
% 6.90/5.11 tff(17914,plain,
% 6.90/5.11 ((((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 0)) <=> v90(constB150, 0))) | (~((~v90(constB151, 2)) <=> v90(constB150, 2)))),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(17915,plain,
% 6.90/5.11 (~((~v90(constB151, 2)) <=> v90(constB150, 2))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17914, 17913])).
% 6.90/5.11 tff(17916,plain,
% 6.90/5.11 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17917,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_149')).
% 6.90/5.11 tff(17918,plain,
% 6.90/5.11 (nextState(constB149, constB150)),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[17917, 17916])).
% 6.90/5.11 tff(17919,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB149, constB150)) | (~(((~v129(constB150, 2)) <=> v127(constB149, 2)) | ((~v129(constB150, 1)) <=> v127(constB149, 1)) | ((~v129(constB150, 0)) <=> v127(constB149, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB149, constB150)) | (~(((~v129(constB150, 2)) <=> v127(constB149, 2)) | ((~v129(constB150, 1)) <=> v127(constB149, 1)) | ((~v129(constB150, 0)) <=> v127(constB149, 0)))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17920,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB149, constB150)) | (~(((~v129(constB150, 2)) <=> v127(constB149, 2)) | ((~v129(constB150, 1)) <=> v127(constB149, 1)) | ((~v129(constB150, 0)) <=> v127(constB149, 0)))))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(17921,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB149, constB150)) | (~(((~v129(constB150, 2)) <=> v127(constB149, 2)) | ((~v129(constB150, 1)) <=> v127(constB149, 1)) | ((~v129(constB150, 0)) <=> v127(constB149, 0))))),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[17920, 17919])).
% 6.90/5.11 tff(17922,plain,
% 6.90/5.11 (~(((~v129(constB150, 2)) <=> v127(constB149, 2)) | ((~v129(constB150, 1)) <=> v127(constB149, 1)) | ((~v129(constB150, 0)) <=> v127(constB149, 0)))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17921, 17918, 348])).
% 6.90/5.11 tff(17923,plain,
% 6.90/5.11 ((((~v129(constB150, 2)) <=> v127(constB149, 2)) | ((~v129(constB150, 1)) <=> v127(constB149, 1)) | ((~v129(constB150, 0)) <=> v127(constB149, 0))) | (~((~v129(constB150, 2)) <=> v127(constB149, 2)))),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(17924,plain,
% 6.90/5.11 (~((~v129(constB150, 2)) <=> v127(constB149, 2))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17923, 17922])).
% 6.90/5.11 tff(17925,plain,
% 6.90/5.11 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB149) <=> v26(constB149))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(17926,plain,
% 6.90/5.11 (v111(constB149) <=> v26(constB149)),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17925, 367])).
% 6.90/5.11 tff(17927,plain,
% 6.90/5.11 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB149))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(17928,plain,
% 6.90/5.11 (~v26(constB149)),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17927, 379])).
% 6.90/5.11 tff(17929,plain,
% 6.90/5.11 ((~(v111(constB149) <=> v26(constB149))) | (~v111(constB149)) | v26(constB149)),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(17930,plain,
% 6.90/5.11 ((~(v111(constB149) <=> v26(constB149))) | (~v111(constB149))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17929, 17928])).
% 6.90/5.11 tff(17931,plain,
% 6.90/5.11 (~v111(constB149)),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17930, 17926])).
% 6.90/5.11 tff(17932,plain,
% 6.90/5.11 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB149) | (~(((~v127(constB149, 2)) <=> v130(constB149, 2)) | ((~v127(constB149, 1)) <=> v130(constB149, 1)) | ((~v127(constB149, 0)) <=> v130(constB149, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB149) | (~(((~v127(constB149, 2)) <=> v130(constB149, 2)) | ((~v127(constB149, 1)) <=> v130(constB149, 1)) | ((~v127(constB149, 0)) <=> v130(constB149, 0)))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17933,plain,
% 6.90/5.11 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB149) | (~(((~v127(constB149, 2)) <=> v130(constB149, 2)) | ((~v127(constB149, 1)) <=> v130(constB149, 1)) | ((~v127(constB149, 0)) <=> v130(constB149, 0)))))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(17934,plain,
% 6.90/5.11 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB149) | (~(((~v127(constB149, 2)) <=> v130(constB149, 2)) | ((~v127(constB149, 1)) <=> v130(constB149, 1)) | ((~v127(constB149, 0)) <=> v130(constB149, 0))))),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[17933, 17932])).
% 6.90/5.11 tff(17935,plain,
% 6.90/5.11 (v111(constB149) | (~(((~v127(constB149, 2)) <=> v130(constB149, 2)) | ((~v127(constB149, 1)) <=> v130(constB149, 1)) | ((~v127(constB149, 0)) <=> v130(constB149, 0))))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17934, 397])).
% 6.90/5.11 tff(17936,plain,
% 6.90/5.11 (~(((~v127(constB149, 2)) <=> v130(constB149, 2)) | ((~v127(constB149, 1)) <=> v130(constB149, 1)) | ((~v127(constB149, 0)) <=> v130(constB149, 0)))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17935, 17931])).
% 6.90/5.11 tff(17937,plain,
% 6.90/5.11 ((((~v127(constB149, 2)) <=> v130(constB149, 2)) | ((~v127(constB149, 1)) <=> v130(constB149, 1)) | ((~v127(constB149, 0)) <=> v130(constB149, 0))) | (~((~v127(constB149, 2)) <=> v130(constB149, 2)))),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(17938,plain,
% 6.90/5.11 (~((~v127(constB149, 2)) <=> v130(constB149, 2))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17937, 17936])).
% 6.90/5.11 tff(17939,plain,
% 6.90/5.11 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB149) <=> (~(v90(constB149, 2) | v90(constB149, 0) | (~v90(constB149, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB149) <=> (~(v90(constB149, 2) | v90(constB149, 0) | (~v90(constB149, 1))))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17940,plain,
% 6.90/5.11 ((v121(constB149) <=> (~(v90(constB149, 0) | v90(constB149, 2) | (~v90(constB149, 1))))) <=> (v121(constB149) <=> (~(v90(constB149, 2) | v90(constB149, 0) | (~v90(constB149, 1)))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17941,plain,
% 6.90/5.11 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB149) <=> (~(v90(constB149, 0) | v90(constB149, 2) | (~v90(constB149, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB149) <=> (~(v90(constB149, 2) | v90(constB149, 0) | (~v90(constB149, 1))))))),
% 6.90/5.11 inference(monotonicity,[status(thm)],[17940])).
% 6.90/5.11 tff(17942,plain,
% 6.90/5.11 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB149) <=> (~(v90(constB149, 0) | v90(constB149, 2) | (~v90(constB149, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB149) <=> (~(v90(constB149, 2) | v90(constB149, 0) | (~v90(constB149, 1))))))),
% 6.90/5.11 inference(transitivity,[status(thm)],[17941, 17939])).
% 6.90/5.11 tff(17943,plain,
% 6.90/5.11 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB149) <=> (~(v90(constB149, 0) | v90(constB149, 2) | (~v90(constB149, 1)))))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(17944,plain,
% 6.90/5.11 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB149) <=> (~(v90(constB149, 2) | v90(constB149, 0) | (~v90(constB149, 1)))))),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[17943, 17942])).
% 6.90/5.11 tff(17945,plain,
% 6.90/5.11 (v121(constB149) <=> (~(v90(constB149, 2) | v90(constB149, 0) | (~v90(constB149, 1))))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17944, 723])).
% 6.90/5.11 tff(17946,plain,
% 6.90/5.11 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17947,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_148')).
% 6.90/5.11 tff(17948,plain,
% 6.90/5.11 (nextState(constB148, constB149)),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[17947, 17946])).
% 6.90/5.11 tff(17949,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17950,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(17951,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149)))))),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[17950, 17949])).
% 6.90/5.11 tff(17952,plain,
% 6.90/5.11 (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17951, 17948, 273])).
% 6.90/5.11 tff(17953,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17954,plain,
% 6.90/5.11 (((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149)))))) <=> ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17955,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))))),
% 6.90/5.11 inference(monotonicity,[status(thm)],[17954])).
% 6.90/5.11 tff(17956,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))),
% 6.90/5.11 inference(transitivity,[status(thm)],[17955, 17953])).
% 6.90/5.11 tff(17957,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149))))))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(17958,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[17957, 17956])).
% 6.90/5.11 tff(17959,plain,
% 6.90/5.11 (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17958, 17948, 293])).
% 6.90/5.11 tff(17960,plain,
% 6.90/5.11 ((~v1(constB149)) <=> (~v1(constB149))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17961,axiom,(~v1(constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_149')).
% 6.90/5.11 tff(17962,plain,
% 6.90/5.11 (~v1(constB149)),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[17961, 17960])).
% 6.90/5.11 tff(17963,plain,
% 6.90/5.11 (((~v1(constB149)) | (~v102(constB149))) | v1(constB149)),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(17964,plain,
% 6.90/5.11 ((~v1(constB149)) | (~v102(constB149))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17963, 17962])).
% 6.90/5.11 tff(17965,plain,
% 6.90/5.11 ((~(v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))) | (~v101(constB149)) | (~((~v1(constB149)) | (~v102(constB149))))),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(17966,plain,
% 6.90/5.11 ((~(v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))) | (~v101(constB149))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17965, 17964])).
% 6.90/5.11 tff(17967,plain,
% 6.90/5.11 (~v101(constB149)),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17966, 17959])).
% 6.90/5.11 tff(17968,plain,
% 6.90/5.11 (((~v101(constB149)) | (~v110(constB149))) | v101(constB149)),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(17969,plain,
% 6.90/5.11 ((~v101(constB149)) | (~v110(constB149))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17968, 17967])).
% 6.90/5.11 tff(17970,plain,
% 6.90/5.11 ((~(v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149)))))) | (~v100(constB149)) | (~((~v101(constB149)) | (~v110(constB149))))),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(17971,plain,
% 6.90/5.11 (~v100(constB149)),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17970, 17969, 17952])).
% 6.90/5.11 tff(17972,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 0)) <=> v90(constB148, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 0)) <=> v90(constB148, 0)))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17973,plain,
% 6.90/5.11 ((v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 0)) <=> v90(constB148, 0))))) <=> (v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 0)) <=> v90(constB148, 0)))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17974,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 0)) <=> v90(constB148, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 0)) <=> v90(constB148, 0))))))),
% 6.90/5.11 inference(monotonicity,[status(thm)],[17973])).
% 6.90/5.11 tff(17975,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 0)) <=> v90(constB148, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 0)) <=> v90(constB148, 0)))))),
% 6.90/5.11 inference(transitivity,[status(thm)],[17974, 17972])).
% 6.90/5.11 tff(17976,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 0)) <=> v90(constB148, 0)))))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(17977,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 0)) <=> v90(constB148, 0))))),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[17976, 17975])).
% 6.90/5.11 tff(17978,plain,
% 6.90/5.11 (v100(constB149) | (~(((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 0)) <=> v90(constB148, 0))))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17977, 17948, 325])).
% 6.90/5.11 tff(17979,plain,
% 6.90/5.11 (~(((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 0)) <=> v90(constB148, 0)))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17978, 17971])).
% 6.90/5.11 tff(17980,plain,
% 6.90/5.11 ((((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 0)) <=> v90(constB148, 0))) | (~((~v90(constB149, 2)) <=> v90(constB148, 2)))),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(17981,plain,
% 6.90/5.11 (~((~v90(constB149, 2)) <=> v90(constB148, 2))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17980, 17979])).
% 6.90/5.11 tff(17982,plain,
% 6.90/5.11 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17983,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_147')).
% 6.90/5.11 tff(17984,plain,
% 6.90/5.11 (nextState(constB147, constB148)),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[17983, 17982])).
% 6.90/5.11 tff(17985,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB147, constB148)) | (~(((~v129(constB148, 2)) <=> v127(constB147, 2)) | ((~v129(constB148, 1)) <=> v127(constB147, 1)) | ((~v129(constB148, 0)) <=> v127(constB147, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB147, constB148)) | (~(((~v129(constB148, 2)) <=> v127(constB147, 2)) | ((~v129(constB148, 1)) <=> v127(constB147, 1)) | ((~v129(constB148, 0)) <=> v127(constB147, 0)))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17986,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB147, constB148)) | (~(((~v129(constB148, 2)) <=> v127(constB147, 2)) | ((~v129(constB148, 1)) <=> v127(constB147, 1)) | ((~v129(constB148, 0)) <=> v127(constB147, 0)))))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(17987,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB147, constB148)) | (~(((~v129(constB148, 2)) <=> v127(constB147, 2)) | ((~v129(constB148, 1)) <=> v127(constB147, 1)) | ((~v129(constB148, 0)) <=> v127(constB147, 0))))),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[17986, 17985])).
% 6.90/5.11 tff(17988,plain,
% 6.90/5.11 (~(((~v129(constB148, 2)) <=> v127(constB147, 2)) | ((~v129(constB148, 1)) <=> v127(constB147, 1)) | ((~v129(constB148, 0)) <=> v127(constB147, 0)))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17987, 17984, 348])).
% 6.90/5.11 tff(17989,plain,
% 6.90/5.11 ((((~v129(constB148, 2)) <=> v127(constB147, 2)) | ((~v129(constB148, 1)) <=> v127(constB147, 1)) | ((~v129(constB148, 0)) <=> v127(constB147, 0))) | (~((~v129(constB148, 2)) <=> v127(constB147, 2)))),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(17990,plain,
% 6.90/5.11 (~((~v129(constB148, 2)) <=> v127(constB147, 2))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17989, 17988])).
% 6.90/5.11 tff(17991,plain,
% 6.90/5.11 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB147) <=> v26(constB147))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(17992,plain,
% 6.90/5.11 (v111(constB147) <=> v26(constB147)),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17991, 367])).
% 6.90/5.11 tff(17993,plain,
% 6.90/5.11 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB147))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(17994,plain,
% 6.90/5.11 (~v26(constB147)),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17993, 379])).
% 6.90/5.11 tff(17995,plain,
% 6.90/5.11 ((~(v111(constB147) <=> v26(constB147))) | (~v111(constB147)) | v26(constB147)),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(17996,plain,
% 6.90/5.11 ((~(v111(constB147) <=> v26(constB147))) | (~v111(constB147))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17995, 17994])).
% 6.90/5.11 tff(17997,plain,
% 6.90/5.11 (~v111(constB147)),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[17996, 17992])).
% 6.90/5.11 tff(17998,plain,
% 6.90/5.11 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB147) | (~(((~v127(constB147, 2)) <=> v130(constB147, 2)) | ((~v127(constB147, 1)) <=> v130(constB147, 1)) | ((~v127(constB147, 0)) <=> v130(constB147, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB147) | (~(((~v127(constB147, 2)) <=> v130(constB147, 2)) | ((~v127(constB147, 1)) <=> v130(constB147, 1)) | ((~v127(constB147, 0)) <=> v130(constB147, 0)))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(17999,plain,
% 6.90/5.11 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB147) | (~(((~v127(constB147, 2)) <=> v130(constB147, 2)) | ((~v127(constB147, 1)) <=> v130(constB147, 1)) | ((~v127(constB147, 0)) <=> v130(constB147, 0)))))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(18000,plain,
% 6.90/5.11 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB147) | (~(((~v127(constB147, 2)) <=> v130(constB147, 2)) | ((~v127(constB147, 1)) <=> v130(constB147, 1)) | ((~v127(constB147, 0)) <=> v130(constB147, 0))))),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[17999, 17998])).
% 6.90/5.11 tff(18001,plain,
% 6.90/5.11 (v111(constB147) | (~(((~v127(constB147, 2)) <=> v130(constB147, 2)) | ((~v127(constB147, 1)) <=> v130(constB147, 1)) | ((~v127(constB147, 0)) <=> v130(constB147, 0))))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[18000, 397])).
% 6.90/5.11 tff(18002,plain,
% 6.90/5.11 (~(((~v127(constB147, 2)) <=> v130(constB147, 2)) | ((~v127(constB147, 1)) <=> v130(constB147, 1)) | ((~v127(constB147, 0)) <=> v130(constB147, 0)))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[18001, 17997])).
% 6.90/5.11 tff(18003,plain,
% 6.90/5.11 ((((~v127(constB147, 2)) <=> v130(constB147, 2)) | ((~v127(constB147, 1)) <=> v130(constB147, 1)) | ((~v127(constB147, 0)) <=> v130(constB147, 0))) | (~((~v127(constB147, 2)) <=> v130(constB147, 2)))),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(18004,plain,
% 6.90/5.11 (~((~v127(constB147, 2)) <=> v130(constB147, 2))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[18003, 18002])).
% 6.90/5.11 tff(18005,plain,
% 6.90/5.11 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB147) <=> (~(v90(constB147, 1) | v90(constB147, 2) | (~v90(constB147, 0)))))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(18006,plain,
% 6.90/5.11 (v120(constB147) <=> (~(v90(constB147, 1) | v90(constB147, 2) | (~v90(constB147, 0))))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[18005, 417])).
% 6.90/5.11 tff(18007,plain,
% 6.90/5.11 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(18008,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_146')).
% 6.90/5.11 tff(18009,plain,
% 6.90/5.11 (nextState(constB146, constB147)),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[18008, 18007])).
% 6.90/5.11 tff(18010,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(18011,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(18012,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147)))))),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[18011, 18010])).
% 6.90/5.11 tff(18013,plain,
% 6.90/5.11 (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[18012, 18009, 273])).
% 6.90/5.11 tff(18014,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(18015,plain,
% 6.90/5.11 (((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147)))))) <=> ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(18016,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))))),
% 6.90/5.11 inference(monotonicity,[status(thm)],[18015])).
% 6.90/5.11 tff(18017,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))),
% 6.90/5.11 inference(transitivity,[status(thm)],[18016, 18014])).
% 6.90/5.11 tff(18018,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147))))))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(18019,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[18018, 18017])).
% 6.90/5.11 tff(18020,plain,
% 6.90/5.11 (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[18019, 18009, 293])).
% 6.90/5.11 tff(18021,plain,
% 6.90/5.11 ((~v1(constB147)) <=> (~v1(constB147))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(18022,axiom,(~v1(constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_147')).
% 6.90/5.11 tff(18023,plain,
% 6.90/5.11 (~v1(constB147)),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[18022, 18021])).
% 6.90/5.11 tff(18024,plain,
% 6.90/5.11 (((~v1(constB147)) | (~v102(constB147))) | v1(constB147)),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(18025,plain,
% 6.90/5.11 ((~v1(constB147)) | (~v102(constB147))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[18024, 18023])).
% 6.90/5.11 tff(18026,plain,
% 6.90/5.11 ((~(v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))) | (~v101(constB147)) | (~((~v1(constB147)) | (~v102(constB147))))),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(18027,plain,
% 6.90/5.11 ((~(v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))) | (~v101(constB147))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[18026, 18025])).
% 6.90/5.11 tff(18028,plain,
% 6.90/5.11 (~v101(constB147)),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[18027, 18020])).
% 6.90/5.11 tff(18029,plain,
% 6.90/5.11 (((~v101(constB147)) | (~v110(constB147))) | v101(constB147)),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(18030,plain,
% 6.90/5.11 ((~v101(constB147)) | (~v110(constB147))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[18029, 18028])).
% 6.90/5.11 tff(18031,plain,
% 6.90/5.11 ((~(v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147)))))) | (~v100(constB147)) | (~((~v101(constB147)) | (~v110(constB147))))),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(18032,plain,
% 6.90/5.11 (~v100(constB147)),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[18031, 18030, 18013])).
% 6.90/5.11 tff(18033,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 0)) <=> v90(constB146, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 0)) <=> v90(constB146, 0)))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(18034,plain,
% 6.90/5.11 ((v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 0)) <=> v90(constB146, 0))))) <=> (v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 0)) <=> v90(constB146, 0)))))),
% 6.90/5.11 inference(rewrite,[status(thm)],[])).
% 6.90/5.11 tff(18035,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 0)) <=> v90(constB146, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 0)) <=> v90(constB146, 0))))))),
% 6.90/5.11 inference(monotonicity,[status(thm)],[18034])).
% 6.90/5.11 tff(18036,plain,
% 6.90/5.11 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 0)) <=> v90(constB146, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 0)) <=> v90(constB146, 0)))))),
% 6.90/5.11 inference(transitivity,[status(thm)],[18035, 18033])).
% 6.90/5.11 tff(18037,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 0)) <=> v90(constB146, 0)))))),
% 6.90/5.11 inference(quant_inst,[status(thm)],[])).
% 6.90/5.11 tff(18038,plain,
% 6.90/5.11 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 0)) <=> v90(constB146, 0))))),
% 6.90/5.11 inference(modus_ponens,[status(thm)],[18037, 18036])).
% 6.90/5.11 tff(18039,plain,
% 6.90/5.11 (v100(constB147) | (~(((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 0)) <=> v90(constB146, 0))))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[18038, 18009, 325])).
% 6.90/5.11 tff(18040,plain,
% 6.90/5.11 (~(((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 0)) <=> v90(constB146, 0)))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[18039, 18032])).
% 6.90/5.11 tff(18041,plain,
% 6.90/5.11 ((((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 0)) <=> v90(constB146, 0))) | (~((~v90(constB147, 2)) <=> v90(constB146, 2)))),
% 6.90/5.11 inference(tautology,[status(thm)],[])).
% 6.90/5.11 tff(18042,plain,
% 6.90/5.11 (~((~v90(constB147, 2)) <=> v90(constB146, 2))),
% 6.90/5.11 inference(unit_resolution,[status(thm)],[18041, 18040])).
% 6.90/5.11 tff(18043,plain,
% 6.90/5.11 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18044,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_145')).
% 6.90/5.12 tff(18045,plain,
% 6.90/5.12 (nextState(constB145, constB146)),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18044, 18043])).
% 6.90/5.12 tff(18046,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB145, constB146)) | (~(((~v129(constB146, 2)) <=> v127(constB145, 2)) | ((~v129(constB146, 1)) <=> v127(constB145, 1)) | ((~v129(constB146, 0)) <=> v127(constB145, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB145, constB146)) | (~(((~v129(constB146, 2)) <=> v127(constB145, 2)) | ((~v129(constB146, 1)) <=> v127(constB145, 1)) | ((~v129(constB146, 0)) <=> v127(constB145, 0)))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18047,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB145, constB146)) | (~(((~v129(constB146, 2)) <=> v127(constB145, 2)) | ((~v129(constB146, 1)) <=> v127(constB145, 1)) | ((~v129(constB146, 0)) <=> v127(constB145, 0)))))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18048,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB145, constB146)) | (~(((~v129(constB146, 2)) <=> v127(constB145, 2)) | ((~v129(constB146, 1)) <=> v127(constB145, 1)) | ((~v129(constB146, 0)) <=> v127(constB145, 0))))),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18047, 18046])).
% 6.90/5.12 tff(18049,plain,
% 6.90/5.12 (~(((~v129(constB146, 2)) <=> v127(constB145, 2)) | ((~v129(constB146, 1)) <=> v127(constB145, 1)) | ((~v129(constB146, 0)) <=> v127(constB145, 0)))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18048, 18045, 348])).
% 6.90/5.12 tff(18050,plain,
% 6.90/5.12 ((((~v129(constB146, 2)) <=> v127(constB145, 2)) | ((~v129(constB146, 1)) <=> v127(constB145, 1)) | ((~v129(constB146, 0)) <=> v127(constB145, 0))) | (~((~v129(constB146, 2)) <=> v127(constB145, 2)))),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18051,plain,
% 6.90/5.12 (~((~v129(constB146, 2)) <=> v127(constB145, 2))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18050, 18049])).
% 6.90/5.12 tff(18052,plain,
% 6.90/5.12 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB145) <=> v26(constB145))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18053,plain,
% 6.90/5.12 (v111(constB145) <=> v26(constB145)),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18052, 367])).
% 6.90/5.12 tff(18054,plain,
% 6.90/5.12 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB145))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18055,plain,
% 6.90/5.12 (~v26(constB145)),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18054, 379])).
% 6.90/5.12 tff(18056,plain,
% 6.90/5.12 ((~(v111(constB145) <=> v26(constB145))) | (~v111(constB145)) | v26(constB145)),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18057,plain,
% 6.90/5.12 ((~(v111(constB145) <=> v26(constB145))) | (~v111(constB145))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18056, 18055])).
% 6.90/5.12 tff(18058,plain,
% 6.90/5.12 (~v111(constB145)),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18057, 18053])).
% 6.90/5.12 tff(18059,plain,
% 6.90/5.12 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB145) | (~(((~v127(constB145, 2)) <=> v130(constB145, 2)) | ((~v127(constB145, 1)) <=> v130(constB145, 1)) | ((~v127(constB145, 0)) <=> v130(constB145, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB145) | (~(((~v127(constB145, 2)) <=> v130(constB145, 2)) | ((~v127(constB145, 1)) <=> v130(constB145, 1)) | ((~v127(constB145, 0)) <=> v130(constB145, 0)))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18060,plain,
% 6.90/5.12 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB145) | (~(((~v127(constB145, 2)) <=> v130(constB145, 2)) | ((~v127(constB145, 1)) <=> v130(constB145, 1)) | ((~v127(constB145, 0)) <=> v130(constB145, 0)))))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18061,plain,
% 6.90/5.12 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB145) | (~(((~v127(constB145, 2)) <=> v130(constB145, 2)) | ((~v127(constB145, 1)) <=> v130(constB145, 1)) | ((~v127(constB145, 0)) <=> v130(constB145, 0))))),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18060, 18059])).
% 6.90/5.12 tff(18062,plain,
% 6.90/5.12 (v111(constB145) | (~(((~v127(constB145, 2)) <=> v130(constB145, 2)) | ((~v127(constB145, 1)) <=> v130(constB145, 1)) | ((~v127(constB145, 0)) <=> v130(constB145, 0))))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18061, 397])).
% 6.90/5.12 tff(18063,plain,
% 6.90/5.12 (~(((~v127(constB145, 2)) <=> v130(constB145, 2)) | ((~v127(constB145, 1)) <=> v130(constB145, 1)) | ((~v127(constB145, 0)) <=> v130(constB145, 0)))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18062, 18058])).
% 6.90/5.12 tff(18064,plain,
% 6.90/5.12 ((((~v127(constB145, 2)) <=> v130(constB145, 2)) | ((~v127(constB145, 1)) <=> v130(constB145, 1)) | ((~v127(constB145, 0)) <=> v130(constB145, 0))) | (~((~v127(constB145, 2)) <=> v130(constB145, 2)))),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18065,plain,
% 6.90/5.12 (~((~v127(constB145, 2)) <=> v130(constB145, 2))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18064, 18063])).
% 6.90/5.12 tff(18066,plain,
% 6.90/5.12 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB145) <=> (~(v90(constB145, 0) | v90(constB145, 1) | v90(constB145, 2))))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18067,plain,
% 6.90/5.12 (v119(constB145) <=> (~(v90(constB145, 0) | v90(constB145, 1) | v90(constB145, 2)))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18066, 491])).
% 6.90/5.12 tff(18068,plain,
% 6.90/5.12 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18069,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_144')).
% 6.90/5.12 tff(18070,plain,
% 6.90/5.12 (nextState(constB144, constB145)),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18069, 18068])).
% 6.90/5.12 tff(18071,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18072,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18073,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145)))))),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18072, 18071])).
% 6.90/5.12 tff(18074,plain,
% 6.90/5.12 (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18073, 18070, 273])).
% 6.90/5.12 tff(18075,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18076,plain,
% 6.90/5.12 (((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145)))))) <=> ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18077,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))))),
% 6.90/5.12 inference(monotonicity,[status(thm)],[18076])).
% 6.90/5.12 tff(18078,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))),
% 6.90/5.12 inference(transitivity,[status(thm)],[18077, 18075])).
% 6.90/5.12 tff(18079,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145))))))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18080,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18079, 18078])).
% 6.90/5.12 tff(18081,plain,
% 6.90/5.12 (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18080, 18070, 293])).
% 6.90/5.12 tff(18082,plain,
% 6.90/5.12 ((~v1(constB145)) <=> (~v1(constB145))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18083,axiom,(~v1(constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_145')).
% 6.90/5.12 tff(18084,plain,
% 6.90/5.12 (~v1(constB145)),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18083, 18082])).
% 6.90/5.12 tff(18085,plain,
% 6.90/5.12 (((~v1(constB145)) | (~v102(constB145))) | v1(constB145)),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18086,plain,
% 6.90/5.12 ((~v1(constB145)) | (~v102(constB145))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18085, 18084])).
% 6.90/5.12 tff(18087,plain,
% 6.90/5.12 ((~(v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))) | (~v101(constB145)) | (~((~v1(constB145)) | (~v102(constB145))))),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18088,plain,
% 6.90/5.12 ((~(v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))) | (~v101(constB145))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18087, 18086])).
% 6.90/5.12 tff(18089,plain,
% 6.90/5.12 (~v101(constB145)),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18088, 18081])).
% 6.90/5.12 tff(18090,plain,
% 6.90/5.12 (((~v101(constB145)) | (~v110(constB145))) | v101(constB145)),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18091,plain,
% 6.90/5.12 ((~v101(constB145)) | (~v110(constB145))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18090, 18089])).
% 6.90/5.12 tff(18092,plain,
% 6.90/5.12 ((~(v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145)))))) | (~v100(constB145)) | (~((~v101(constB145)) | (~v110(constB145))))),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18093,plain,
% 6.90/5.12 (~v100(constB145)),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18092, 18091, 18074])).
% 6.90/5.12 tff(18094,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 0)) <=> v90(constB144, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 0)) <=> v90(constB144, 0)))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18095,plain,
% 6.90/5.12 ((v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 0)) <=> v90(constB144, 0))))) <=> (v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 0)) <=> v90(constB144, 0)))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18096,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 0)) <=> v90(constB144, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 0)) <=> v90(constB144, 0))))))),
% 6.90/5.12 inference(monotonicity,[status(thm)],[18095])).
% 6.90/5.12 tff(18097,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 0)) <=> v90(constB144, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 0)) <=> v90(constB144, 0)))))),
% 6.90/5.12 inference(transitivity,[status(thm)],[18096, 18094])).
% 6.90/5.12 tff(18098,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 0)) <=> v90(constB144, 0)))))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18099,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 0)) <=> v90(constB144, 0))))),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18098, 18097])).
% 6.90/5.12 tff(18100,plain,
% 6.90/5.12 (v100(constB145) | (~(((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 0)) <=> v90(constB144, 0))))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18099, 18070, 325])).
% 6.90/5.12 tff(18101,plain,
% 6.90/5.12 (~(((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 0)) <=> v90(constB144, 0)))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18100, 18093])).
% 6.90/5.12 tff(18102,plain,
% 6.90/5.12 ((((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 0)) <=> v90(constB144, 0))) | (~((~v90(constB145, 2)) <=> v90(constB144, 2)))),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18103,plain,
% 6.90/5.12 (~((~v90(constB145, 2)) <=> v90(constB144, 2))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18102, 18101])).
% 6.90/5.12 tff(18104,plain,
% 6.90/5.12 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18105,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_143')).
% 6.90/5.12 tff(18106,plain,
% 6.90/5.12 (nextState(constB143, constB144)),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18105, 18104])).
% 6.90/5.12 tff(18107,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB143, constB144)) | (~(((~v129(constB144, 2)) <=> v127(constB143, 2)) | ((~v129(constB144, 1)) <=> v127(constB143, 1)) | ((~v129(constB144, 0)) <=> v127(constB143, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB143, constB144)) | (~(((~v129(constB144, 2)) <=> v127(constB143, 2)) | ((~v129(constB144, 1)) <=> v127(constB143, 1)) | ((~v129(constB144, 0)) <=> v127(constB143, 0)))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18108,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB143, constB144)) | (~(((~v129(constB144, 2)) <=> v127(constB143, 2)) | ((~v129(constB144, 1)) <=> v127(constB143, 1)) | ((~v129(constB144, 0)) <=> v127(constB143, 0)))))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18109,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB143, constB144)) | (~(((~v129(constB144, 2)) <=> v127(constB143, 2)) | ((~v129(constB144, 1)) <=> v127(constB143, 1)) | ((~v129(constB144, 0)) <=> v127(constB143, 0))))),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18108, 18107])).
% 6.90/5.12 tff(18110,plain,
% 6.90/5.12 (~(((~v129(constB144, 2)) <=> v127(constB143, 2)) | ((~v129(constB144, 1)) <=> v127(constB143, 1)) | ((~v129(constB144, 0)) <=> v127(constB143, 0)))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18109, 18106, 348])).
% 6.90/5.12 tff(18111,plain,
% 6.90/5.12 ((((~v129(constB144, 2)) <=> v127(constB143, 2)) | ((~v129(constB144, 1)) <=> v127(constB143, 1)) | ((~v129(constB144, 0)) <=> v127(constB143, 0))) | (~((~v129(constB144, 2)) <=> v127(constB143, 2)))),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18112,plain,
% 6.90/5.12 (~((~v129(constB144, 2)) <=> v127(constB143, 2))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18111, 18110])).
% 6.90/5.12 tff(18113,plain,
% 6.90/5.12 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB143) <=> v26(constB143))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18114,plain,
% 6.90/5.12 (v111(constB143) <=> v26(constB143)),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18113, 367])).
% 6.90/5.12 tff(18115,plain,
% 6.90/5.12 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB143))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18116,plain,
% 6.90/5.12 (~v26(constB143)),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18115, 379])).
% 6.90/5.12 tff(18117,plain,
% 6.90/5.12 ((~(v111(constB143) <=> v26(constB143))) | (~v111(constB143)) | v26(constB143)),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18118,plain,
% 6.90/5.12 ((~(v111(constB143) <=> v26(constB143))) | (~v111(constB143))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18117, 18116])).
% 6.90/5.12 tff(18119,plain,
% 6.90/5.12 (~v111(constB143)),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18118, 18114])).
% 6.90/5.12 tff(18120,plain,
% 6.90/5.12 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB143) | (~(((~v127(constB143, 2)) <=> v130(constB143, 2)) | ((~v127(constB143, 1)) <=> v130(constB143, 1)) | ((~v127(constB143, 0)) <=> v130(constB143, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB143) | (~(((~v127(constB143, 2)) <=> v130(constB143, 2)) | ((~v127(constB143, 1)) <=> v130(constB143, 1)) | ((~v127(constB143, 0)) <=> v130(constB143, 0)))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18121,plain,
% 6.90/5.12 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB143) | (~(((~v127(constB143, 2)) <=> v130(constB143, 2)) | ((~v127(constB143, 1)) <=> v130(constB143, 1)) | ((~v127(constB143, 0)) <=> v130(constB143, 0)))))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18122,plain,
% 6.90/5.12 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB143) | (~(((~v127(constB143, 2)) <=> v130(constB143, 2)) | ((~v127(constB143, 1)) <=> v130(constB143, 1)) | ((~v127(constB143, 0)) <=> v130(constB143, 0))))),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18121, 18120])).
% 6.90/5.12 tff(18123,plain,
% 6.90/5.12 (v111(constB143) | (~(((~v127(constB143, 2)) <=> v130(constB143, 2)) | ((~v127(constB143, 1)) <=> v130(constB143, 1)) | ((~v127(constB143, 0)) <=> v130(constB143, 0))))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18122, 397])).
% 6.90/5.12 tff(18124,plain,
% 6.90/5.12 (~(((~v127(constB143, 2)) <=> v130(constB143, 2)) | ((~v127(constB143, 1)) <=> v130(constB143, 1)) | ((~v127(constB143, 0)) <=> v130(constB143, 0)))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18123, 18119])).
% 6.90/5.12 tff(18125,plain,
% 6.90/5.12 ((((~v127(constB143, 2)) <=> v130(constB143, 2)) | ((~v127(constB143, 1)) <=> v130(constB143, 1)) | ((~v127(constB143, 0)) <=> v130(constB143, 0))) | (~((~v127(constB143, 2)) <=> v130(constB143, 2)))),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18126,plain,
% 6.90/5.12 (~((~v127(constB143, 2)) <=> v130(constB143, 2))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18125, 18124])).
% 6.90/5.12 tff(18127,plain,
% 6.90/5.12 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB143) <=> (~(v90(constB143, 1) | v90(constB143, 0) | (~v90(constB143, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB143) <=> (~(v90(constB143, 1) | v90(constB143, 0) | (~v90(constB143, 2))))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18128,plain,
% 6.90/5.12 ((v123(constB143) <=> (~(v90(constB143, 0) | v90(constB143, 1) | (~v90(constB143, 2))))) <=> (v123(constB143) <=> (~(v90(constB143, 1) | v90(constB143, 0) | (~v90(constB143, 2)))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18129,plain,
% 6.90/5.12 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB143) <=> (~(v90(constB143, 0) | v90(constB143, 1) | (~v90(constB143, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB143) <=> (~(v90(constB143, 1) | v90(constB143, 0) | (~v90(constB143, 2))))))),
% 6.90/5.12 inference(monotonicity,[status(thm)],[18128])).
% 6.90/5.12 tff(18130,plain,
% 6.90/5.12 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB143) <=> (~(v90(constB143, 0) | v90(constB143, 1) | (~v90(constB143, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB143) <=> (~(v90(constB143, 1) | v90(constB143, 0) | (~v90(constB143, 2))))))),
% 6.90/5.12 inference(transitivity,[status(thm)],[18129, 18127])).
% 6.90/5.12 tff(18131,plain,
% 6.90/5.12 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB143) <=> (~(v90(constB143, 0) | v90(constB143, 1) | (~v90(constB143, 2)))))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18132,plain,
% 6.90/5.12 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB143) <=> (~(v90(constB143, 1) | v90(constB143, 0) | (~v90(constB143, 2)))))),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18131, 18130])).
% 6.90/5.12 tff(18133,plain,
% 6.90/5.12 (v123(constB143) <=> (~(v90(constB143, 1) | v90(constB143, 0) | (~v90(constB143, 2))))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18132, 565])).
% 6.90/5.12 tff(18134,plain,
% 6.90/5.12 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18135,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_142')).
% 6.90/5.12 tff(18136,plain,
% 6.90/5.12 (nextState(constB142, constB143)),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18135, 18134])).
% 6.90/5.12 tff(18137,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18138,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18139,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143)))))),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18138, 18137])).
% 6.90/5.12 tff(18140,plain,
% 6.90/5.12 (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18139, 18136, 273])).
% 6.90/5.12 tff(18141,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18142,plain,
% 6.90/5.12 (((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143)))))) <=> ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18143,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))))),
% 6.90/5.12 inference(monotonicity,[status(thm)],[18142])).
% 6.90/5.12 tff(18144,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))),
% 6.90/5.12 inference(transitivity,[status(thm)],[18143, 18141])).
% 6.90/5.12 tff(18145,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143))))))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18146,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18145, 18144])).
% 6.90/5.12 tff(18147,plain,
% 6.90/5.12 (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18146, 18136, 293])).
% 6.90/5.12 tff(18148,plain,
% 6.90/5.12 ((~v1(constB143)) <=> (~v1(constB143))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18149,axiom,(~v1(constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_143')).
% 6.90/5.12 tff(18150,plain,
% 6.90/5.12 (~v1(constB143)),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18149, 18148])).
% 6.90/5.12 tff(18151,plain,
% 6.90/5.12 (((~v1(constB143)) | (~v102(constB143))) | v1(constB143)),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18152,plain,
% 6.90/5.12 ((~v1(constB143)) | (~v102(constB143))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18151, 18150])).
% 6.90/5.12 tff(18153,plain,
% 6.90/5.12 ((~(v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))) | (~v101(constB143)) | (~((~v1(constB143)) | (~v102(constB143))))),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18154,plain,
% 6.90/5.12 ((~(v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))) | (~v101(constB143))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18153, 18152])).
% 6.90/5.12 tff(18155,plain,
% 6.90/5.12 (~v101(constB143)),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18154, 18147])).
% 6.90/5.12 tff(18156,plain,
% 6.90/5.12 (((~v101(constB143)) | (~v110(constB143))) | v101(constB143)),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18157,plain,
% 6.90/5.12 ((~v101(constB143)) | (~v110(constB143))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18156, 18155])).
% 6.90/5.12 tff(18158,plain,
% 6.90/5.12 ((~(v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143)))))) | (~v100(constB143)) | (~((~v101(constB143)) | (~v110(constB143))))),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18159,plain,
% 6.90/5.12 (~v100(constB143)),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18158, 18157, 18140])).
% 6.90/5.12 tff(18160,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 0)) <=> v90(constB142, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 0)) <=> v90(constB142, 0)))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18161,plain,
% 6.90/5.12 ((v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 0)) <=> v90(constB142, 0))))) <=> (v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 0)) <=> v90(constB142, 0)))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18162,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 0)) <=> v90(constB142, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 0)) <=> v90(constB142, 0))))))),
% 6.90/5.12 inference(monotonicity,[status(thm)],[18161])).
% 6.90/5.12 tff(18163,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 0)) <=> v90(constB142, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 0)) <=> v90(constB142, 0)))))),
% 6.90/5.12 inference(transitivity,[status(thm)],[18162, 18160])).
% 6.90/5.12 tff(18164,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 0)) <=> v90(constB142, 0)))))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18165,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 0)) <=> v90(constB142, 0))))),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18164, 18163])).
% 6.90/5.12 tff(18166,plain,
% 6.90/5.12 (v100(constB143) | (~(((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 0)) <=> v90(constB142, 0))))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18165, 18136, 325])).
% 6.90/5.12 tff(18167,plain,
% 6.90/5.12 (~(((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 0)) <=> v90(constB142, 0)))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18166, 18159])).
% 6.90/5.12 tff(18168,plain,
% 6.90/5.12 ((((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 0)) <=> v90(constB142, 0))) | (~((~v90(constB143, 2)) <=> v90(constB142, 2)))),
% 6.90/5.12 inference(tautology,[status(thm)],[])).
% 6.90/5.12 tff(18169,plain,
% 6.90/5.12 (~((~v90(constB143, 2)) <=> v90(constB142, 2))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18168, 18167])).
% 6.90/5.12 tff(18170,plain,
% 6.90/5.12 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18171,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_141')).
% 6.90/5.12 tff(18172,plain,
% 6.90/5.12 (nextState(constB141, constB142)),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18171, 18170])).
% 6.90/5.12 tff(18173,plain,
% 6.90/5.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB141, constB142)) | (~(((~v129(constB142, 2)) <=> v127(constB141, 2)) | ((~v129(constB142, 1)) <=> v127(constB141, 1)) | ((~v129(constB142, 0)) <=> v127(constB141, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB141, constB142)) | (~(((~v129(constB142, 2)) <=> v127(constB141, 2)) | ((~v129(constB142, 1)) <=> v127(constB141, 1)) | ((~v129(constB142, 0)) <=> v127(constB141, 0)))))),
% 6.90/5.12 inference(rewrite,[status(thm)],[])).
% 6.90/5.12 tff(18174,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB141, constB142)) | (~(((~v129(constB142, 2)) <=> v127(constB141, 2)) | ((~v129(constB142, 1)) <=> v127(constB141, 1)) | ((~v129(constB142, 0)) <=> v127(constB141, 0)))))),
% 6.90/5.12 inference(quant_inst,[status(thm)],[])).
% 6.90/5.12 tff(18175,plain,
% 6.90/5.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB141, constB142)) | (~(((~v129(constB142, 2)) <=> v127(constB141, 2)) | ((~v129(constB142, 1)) <=> v127(constB141, 1)) | ((~v129(constB142, 0)) <=> v127(constB141, 0))))),
% 6.90/5.12 inference(modus_ponens,[status(thm)],[18174, 18173])).
% 6.90/5.12 tff(18176,plain,
% 6.90/5.12 (~(((~v129(constB142, 2)) <=> v127(constB141, 2)) | ((~v129(constB142, 1)) <=> v127(constB141, 1)) | ((~v129(constB142, 0)) <=> v127(constB141, 0)))),
% 6.90/5.12 inference(unit_resolution,[status(thm)],[18175, 18172, 348])).
% 6.90/5.12 tff(18177,plain,
% 6.90/5.12 ((((~v129(constB142, 2)) <=> v127(constB141, 2)) | ((~v129(constB142, 1)) <=> v127(constB141, 1)) | ((~v129(constB142, 0)) <=> v127(constB141, 0))) | (~((~v129(constB142, 2)) <=> v127(constB141, 2)))),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18178,plain,
% 6.90/5.13 (~((~v129(constB142, 2)) <=> v127(constB141, 2))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18177, 18176])).
% 6.90/5.13 tff(18179,plain,
% 6.90/5.13 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB141) <=> v26(constB141))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18180,plain,
% 6.90/5.13 (v111(constB141) <=> v26(constB141)),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18179, 367])).
% 6.90/5.13 tff(18181,plain,
% 6.90/5.13 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB141))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18182,plain,
% 6.90/5.13 (~v26(constB141)),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18181, 379])).
% 6.90/5.13 tff(18183,plain,
% 6.90/5.13 ((~(v111(constB141) <=> v26(constB141))) | (~v111(constB141)) | v26(constB141)),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18184,plain,
% 6.90/5.13 ((~(v111(constB141) <=> v26(constB141))) | (~v111(constB141))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18183, 18182])).
% 6.90/5.13 tff(18185,plain,
% 6.90/5.13 (~v111(constB141)),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18184, 18180])).
% 6.90/5.13 tff(18186,plain,
% 6.90/5.13 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB141) | (~(((~v127(constB141, 2)) <=> v130(constB141, 2)) | ((~v127(constB141, 1)) <=> v130(constB141, 1)) | ((~v127(constB141, 0)) <=> v130(constB141, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB141) | (~(((~v127(constB141, 2)) <=> v130(constB141, 2)) | ((~v127(constB141, 1)) <=> v130(constB141, 1)) | ((~v127(constB141, 0)) <=> v130(constB141, 0)))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18187,plain,
% 6.90/5.13 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB141) | (~(((~v127(constB141, 2)) <=> v130(constB141, 2)) | ((~v127(constB141, 1)) <=> v130(constB141, 1)) | ((~v127(constB141, 0)) <=> v130(constB141, 0)))))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18188,plain,
% 6.90/5.13 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB141) | (~(((~v127(constB141, 2)) <=> v130(constB141, 2)) | ((~v127(constB141, 1)) <=> v130(constB141, 1)) | ((~v127(constB141, 0)) <=> v130(constB141, 0))))),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18187, 18186])).
% 6.90/5.13 tff(18189,plain,
% 6.90/5.13 (v111(constB141) | (~(((~v127(constB141, 2)) <=> v130(constB141, 2)) | ((~v127(constB141, 1)) <=> v130(constB141, 1)) | ((~v127(constB141, 0)) <=> v130(constB141, 0))))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18188, 397])).
% 6.90/5.13 tff(18190,plain,
% 6.90/5.13 (~(((~v127(constB141, 2)) <=> v130(constB141, 2)) | ((~v127(constB141, 1)) <=> v130(constB141, 1)) | ((~v127(constB141, 0)) <=> v130(constB141, 0)))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18189, 18185])).
% 6.90/5.13 tff(18191,plain,
% 6.90/5.13 ((((~v127(constB141, 2)) <=> v130(constB141, 2)) | ((~v127(constB141, 1)) <=> v130(constB141, 1)) | ((~v127(constB141, 0)) <=> v130(constB141, 0))) | (~((~v127(constB141, 2)) <=> v130(constB141, 2)))),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18192,plain,
% 6.90/5.13 (~((~v127(constB141, 2)) <=> v130(constB141, 2))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18191, 18190])).
% 6.90/5.13 tff(18193,plain,
% 6.90/5.13 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB141) <=> (~(v90(constB141, 2) | (~v90(constB141, 1)) | (~v90(constB141, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB141) <=> (~(v90(constB141, 2) | (~v90(constB141, 1)) | (~v90(constB141, 0))))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18194,plain,
% 6.90/5.13 ((v122(constB141) <=> (~(v90(constB141, 2) | (~v90(constB141, 0)) | (~v90(constB141, 1))))) <=> (v122(constB141) <=> (~(v90(constB141, 2) | (~v90(constB141, 1)) | (~v90(constB141, 0)))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18195,plain,
% 6.90/5.13 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB141) <=> (~(v90(constB141, 2) | (~v90(constB141, 0)) | (~v90(constB141, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB141) <=> (~(v90(constB141, 2) | (~v90(constB141, 1)) | (~v90(constB141, 0))))))),
% 6.90/5.13 inference(monotonicity,[status(thm)],[18194])).
% 6.90/5.13 tff(18196,plain,
% 6.90/5.13 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB141) <=> (~(v90(constB141, 2) | (~v90(constB141, 0)) | (~v90(constB141, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB141) <=> (~(v90(constB141, 2) | (~v90(constB141, 1)) | (~v90(constB141, 0))))))),
% 6.90/5.13 inference(transitivity,[status(thm)],[18195, 18193])).
% 6.90/5.13 tff(18197,plain,
% 6.90/5.13 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB141) <=> (~(v90(constB141, 2) | (~v90(constB141, 0)) | (~v90(constB141, 1)))))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18198,plain,
% 6.90/5.13 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB141) <=> (~(v90(constB141, 2) | (~v90(constB141, 1)) | (~v90(constB141, 0)))))),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18197, 18196])).
% 6.90/5.13 tff(18199,plain,
% 6.90/5.13 (v122(constB141) <=> (~(v90(constB141, 2) | (~v90(constB141, 1)) | (~v90(constB141, 0))))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18198, 644])).
% 6.90/5.13 tff(18200,plain,
% 6.90/5.13 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18201,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_140')).
% 6.90/5.13 tff(18202,plain,
% 6.90/5.13 (nextState(constB140, constB141)),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18201, 18200])).
% 6.90/5.13 tff(18203,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18204,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18205,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141)))))),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18204, 18203])).
% 6.90/5.13 tff(18206,plain,
% 6.90/5.13 (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18205, 18202, 273])).
% 6.90/5.13 tff(18207,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18208,plain,
% 6.90/5.13 (((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141)))))) <=> ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18209,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))))),
% 6.90/5.13 inference(monotonicity,[status(thm)],[18208])).
% 6.90/5.13 tff(18210,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))),
% 6.90/5.13 inference(transitivity,[status(thm)],[18209, 18207])).
% 6.90/5.13 tff(18211,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141))))))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18212,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18211, 18210])).
% 6.90/5.13 tff(18213,plain,
% 6.90/5.13 (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18212, 18202, 293])).
% 6.90/5.13 tff(18214,plain,
% 6.90/5.13 ((~v1(constB141)) <=> (~v1(constB141))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18215,axiom,(~v1(constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_141')).
% 6.90/5.13 tff(18216,plain,
% 6.90/5.13 (~v1(constB141)),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18215, 18214])).
% 6.90/5.13 tff(18217,plain,
% 6.90/5.13 (((~v1(constB141)) | (~v102(constB141))) | v1(constB141)),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18218,plain,
% 6.90/5.13 ((~v1(constB141)) | (~v102(constB141))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18217, 18216])).
% 6.90/5.13 tff(18219,plain,
% 6.90/5.13 ((~(v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))) | (~v101(constB141)) | (~((~v1(constB141)) | (~v102(constB141))))),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18220,plain,
% 6.90/5.13 ((~(v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))) | (~v101(constB141))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18219, 18218])).
% 6.90/5.13 tff(18221,plain,
% 6.90/5.13 (~v101(constB141)),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18220, 18213])).
% 6.90/5.13 tff(18222,plain,
% 6.90/5.13 (((~v101(constB141)) | (~v110(constB141))) | v101(constB141)),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18223,plain,
% 6.90/5.13 ((~v101(constB141)) | (~v110(constB141))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18222, 18221])).
% 6.90/5.13 tff(18224,plain,
% 6.90/5.13 ((~(v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141)))))) | (~v100(constB141)) | (~((~v101(constB141)) | (~v110(constB141))))),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18225,plain,
% 6.90/5.13 (~v100(constB141)),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18224, 18223, 18206])).
% 6.90/5.13 tff(18226,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 0)) <=> v90(constB140, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 0)) <=> v90(constB140, 0)))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18227,plain,
% 6.90/5.13 ((v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 0)) <=> v90(constB140, 0))))) <=> (v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 0)) <=> v90(constB140, 0)))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18228,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 0)) <=> v90(constB140, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 0)) <=> v90(constB140, 0))))))),
% 6.90/5.13 inference(monotonicity,[status(thm)],[18227])).
% 6.90/5.13 tff(18229,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 0)) <=> v90(constB140, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 0)) <=> v90(constB140, 0)))))),
% 6.90/5.13 inference(transitivity,[status(thm)],[18228, 18226])).
% 6.90/5.13 tff(18230,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 0)) <=> v90(constB140, 0)))))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18231,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 0)) <=> v90(constB140, 0))))),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18230, 18229])).
% 6.90/5.13 tff(18232,plain,
% 6.90/5.13 (v100(constB141) | (~(((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 0)) <=> v90(constB140, 0))))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18231, 18202, 325])).
% 6.90/5.13 tff(18233,plain,
% 6.90/5.13 (~(((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 0)) <=> v90(constB140, 0)))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18232, 18225])).
% 6.90/5.13 tff(18234,plain,
% 6.90/5.13 ((((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 0)) <=> v90(constB140, 0))) | (~((~v90(constB141, 2)) <=> v90(constB140, 2)))),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18235,plain,
% 6.90/5.13 (~((~v90(constB141, 2)) <=> v90(constB140, 2))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18234, 18233])).
% 6.90/5.13 tff(18236,plain,
% 6.90/5.13 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18237,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_139')).
% 6.90/5.13 tff(18238,plain,
% 6.90/5.13 (nextState(constB139, constB140)),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18237, 18236])).
% 6.90/5.13 tff(18239,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB139, constB140)) | (~(((~v129(constB140, 2)) <=> v127(constB139, 2)) | ((~v129(constB140, 1)) <=> v127(constB139, 1)) | ((~v129(constB140, 0)) <=> v127(constB139, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB139, constB140)) | (~(((~v129(constB140, 2)) <=> v127(constB139, 2)) | ((~v129(constB140, 1)) <=> v127(constB139, 1)) | ((~v129(constB140, 0)) <=> v127(constB139, 0)))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18240,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB139, constB140)) | (~(((~v129(constB140, 2)) <=> v127(constB139, 2)) | ((~v129(constB140, 1)) <=> v127(constB139, 1)) | ((~v129(constB140, 0)) <=> v127(constB139, 0)))))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18241,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB139, constB140)) | (~(((~v129(constB140, 2)) <=> v127(constB139, 2)) | ((~v129(constB140, 1)) <=> v127(constB139, 1)) | ((~v129(constB140, 0)) <=> v127(constB139, 0))))),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18240, 18239])).
% 6.90/5.13 tff(18242,plain,
% 6.90/5.13 (~(((~v129(constB140, 2)) <=> v127(constB139, 2)) | ((~v129(constB140, 1)) <=> v127(constB139, 1)) | ((~v129(constB140, 0)) <=> v127(constB139, 0)))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18241, 18238, 348])).
% 6.90/5.13 tff(18243,plain,
% 6.90/5.13 ((((~v129(constB140, 2)) <=> v127(constB139, 2)) | ((~v129(constB140, 1)) <=> v127(constB139, 1)) | ((~v129(constB140, 0)) <=> v127(constB139, 0))) | (~((~v129(constB140, 2)) <=> v127(constB139, 2)))),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18244,plain,
% 6.90/5.13 (~((~v129(constB140, 2)) <=> v127(constB139, 2))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18243, 18242])).
% 6.90/5.13 tff(18245,plain,
% 6.90/5.13 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB139) <=> v26(constB139))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18246,plain,
% 6.90/5.13 (v111(constB139) <=> v26(constB139)),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18245, 367])).
% 6.90/5.13 tff(18247,plain,
% 6.90/5.13 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB139))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18248,plain,
% 6.90/5.13 (~v26(constB139)),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18247, 379])).
% 6.90/5.13 tff(18249,plain,
% 6.90/5.13 ((~(v111(constB139) <=> v26(constB139))) | (~v111(constB139)) | v26(constB139)),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18250,plain,
% 6.90/5.13 ((~(v111(constB139) <=> v26(constB139))) | (~v111(constB139))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18249, 18248])).
% 6.90/5.13 tff(18251,plain,
% 6.90/5.13 (~v111(constB139)),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18250, 18246])).
% 6.90/5.13 tff(18252,plain,
% 6.90/5.13 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB139) | (~(((~v127(constB139, 2)) <=> v130(constB139, 2)) | ((~v127(constB139, 1)) <=> v130(constB139, 1)) | ((~v127(constB139, 0)) <=> v130(constB139, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB139) | (~(((~v127(constB139, 2)) <=> v130(constB139, 2)) | ((~v127(constB139, 1)) <=> v130(constB139, 1)) | ((~v127(constB139, 0)) <=> v130(constB139, 0)))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18253,plain,
% 6.90/5.13 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB139) | (~(((~v127(constB139, 2)) <=> v130(constB139, 2)) | ((~v127(constB139, 1)) <=> v130(constB139, 1)) | ((~v127(constB139, 0)) <=> v130(constB139, 0)))))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18254,plain,
% 6.90/5.13 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB139) | (~(((~v127(constB139, 2)) <=> v130(constB139, 2)) | ((~v127(constB139, 1)) <=> v130(constB139, 1)) | ((~v127(constB139, 0)) <=> v130(constB139, 0))))),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18253, 18252])).
% 6.90/5.13 tff(18255,plain,
% 6.90/5.13 (v111(constB139) | (~(((~v127(constB139, 2)) <=> v130(constB139, 2)) | ((~v127(constB139, 1)) <=> v130(constB139, 1)) | ((~v127(constB139, 0)) <=> v130(constB139, 0))))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18254, 397])).
% 6.90/5.13 tff(18256,plain,
% 6.90/5.13 (~(((~v127(constB139, 2)) <=> v130(constB139, 2)) | ((~v127(constB139, 1)) <=> v130(constB139, 1)) | ((~v127(constB139, 0)) <=> v130(constB139, 0)))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18255, 18251])).
% 6.90/5.13 tff(18257,plain,
% 6.90/5.13 ((((~v127(constB139, 2)) <=> v130(constB139, 2)) | ((~v127(constB139, 1)) <=> v130(constB139, 1)) | ((~v127(constB139, 0)) <=> v130(constB139, 0))) | (~((~v127(constB139, 2)) <=> v130(constB139, 2)))),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18258,plain,
% 6.90/5.13 (~((~v127(constB139, 2)) <=> v130(constB139, 2))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18257, 18256])).
% 6.90/5.13 tff(18259,plain,
% 6.90/5.13 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB139) <=> (~(v90(constB139, 2) | v90(constB139, 0) | (~v90(constB139, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB139) <=> (~(v90(constB139, 2) | v90(constB139, 0) | (~v90(constB139, 1))))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18260,plain,
% 6.90/5.13 ((v121(constB139) <=> (~(v90(constB139, 0) | v90(constB139, 2) | (~v90(constB139, 1))))) <=> (v121(constB139) <=> (~(v90(constB139, 2) | v90(constB139, 0) | (~v90(constB139, 1)))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18261,plain,
% 6.90/5.13 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB139) <=> (~(v90(constB139, 0) | v90(constB139, 2) | (~v90(constB139, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB139) <=> (~(v90(constB139, 2) | v90(constB139, 0) | (~v90(constB139, 1))))))),
% 6.90/5.13 inference(monotonicity,[status(thm)],[18260])).
% 6.90/5.13 tff(18262,plain,
% 6.90/5.13 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB139) <=> (~(v90(constB139, 0) | v90(constB139, 2) | (~v90(constB139, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB139) <=> (~(v90(constB139, 2) | v90(constB139, 0) | (~v90(constB139, 1))))))),
% 6.90/5.13 inference(transitivity,[status(thm)],[18261, 18259])).
% 6.90/5.13 tff(18263,plain,
% 6.90/5.13 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB139) <=> (~(v90(constB139, 0) | v90(constB139, 2) | (~v90(constB139, 1)))))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18264,plain,
% 6.90/5.13 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB139) <=> (~(v90(constB139, 2) | v90(constB139, 0) | (~v90(constB139, 1)))))),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18263, 18262])).
% 6.90/5.13 tff(18265,plain,
% 6.90/5.13 (v121(constB139) <=> (~(v90(constB139, 2) | v90(constB139, 0) | (~v90(constB139, 1))))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18264, 723])).
% 6.90/5.13 tff(18266,plain,
% 6.90/5.13 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18267,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_138')).
% 6.90/5.13 tff(18268,plain,
% 6.90/5.13 (nextState(constB138, constB139)),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18267, 18266])).
% 6.90/5.13 tff(18269,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18270,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18271,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139)))))),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18270, 18269])).
% 6.90/5.13 tff(18272,plain,
% 6.90/5.13 (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18271, 18268, 273])).
% 6.90/5.13 tff(18273,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18274,plain,
% 6.90/5.13 (((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139)))))) <=> ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18275,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))))),
% 6.90/5.13 inference(monotonicity,[status(thm)],[18274])).
% 6.90/5.13 tff(18276,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))),
% 6.90/5.13 inference(transitivity,[status(thm)],[18275, 18273])).
% 6.90/5.13 tff(18277,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139))))))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18278,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18277, 18276])).
% 6.90/5.13 tff(18279,plain,
% 6.90/5.13 (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18278, 18268, 293])).
% 6.90/5.13 tff(18280,plain,
% 6.90/5.13 ((~v1(constB139)) <=> (~v1(constB139))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18281,axiom,(~v1(constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_139')).
% 6.90/5.13 tff(18282,plain,
% 6.90/5.13 (~v1(constB139)),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18281, 18280])).
% 6.90/5.13 tff(18283,plain,
% 6.90/5.13 (((~v1(constB139)) | (~v102(constB139))) | v1(constB139)),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18284,plain,
% 6.90/5.13 ((~v1(constB139)) | (~v102(constB139))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18283, 18282])).
% 6.90/5.13 tff(18285,plain,
% 6.90/5.13 ((~(v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))) | (~v101(constB139)) | (~((~v1(constB139)) | (~v102(constB139))))),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18286,plain,
% 6.90/5.13 ((~(v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))) | (~v101(constB139))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18285, 18284])).
% 6.90/5.13 tff(18287,plain,
% 6.90/5.13 (~v101(constB139)),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18286, 18279])).
% 6.90/5.13 tff(18288,plain,
% 6.90/5.13 (((~v101(constB139)) | (~v110(constB139))) | v101(constB139)),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18289,plain,
% 6.90/5.13 ((~v101(constB139)) | (~v110(constB139))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18288, 18287])).
% 6.90/5.13 tff(18290,plain,
% 6.90/5.13 ((~(v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139)))))) | (~v100(constB139)) | (~((~v101(constB139)) | (~v110(constB139))))),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18291,plain,
% 6.90/5.13 (~v100(constB139)),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18290, 18289, 18272])).
% 6.90/5.13 tff(18292,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 0)) <=> v90(constB138, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 0)) <=> v90(constB138, 0)))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18293,plain,
% 6.90/5.13 ((v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 0)) <=> v90(constB138, 0))))) <=> (v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 0)) <=> v90(constB138, 0)))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18294,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 0)) <=> v90(constB138, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 0)) <=> v90(constB138, 0))))))),
% 6.90/5.13 inference(monotonicity,[status(thm)],[18293])).
% 6.90/5.13 tff(18295,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 0)) <=> v90(constB138, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 0)) <=> v90(constB138, 0)))))),
% 6.90/5.13 inference(transitivity,[status(thm)],[18294, 18292])).
% 6.90/5.13 tff(18296,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 0)) <=> v90(constB138, 0)))))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18297,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 0)) <=> v90(constB138, 0))))),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18296, 18295])).
% 6.90/5.13 tff(18298,plain,
% 6.90/5.13 (v100(constB139) | (~(((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 0)) <=> v90(constB138, 0))))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18297, 18268, 325])).
% 6.90/5.13 tff(18299,plain,
% 6.90/5.13 (~(((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 0)) <=> v90(constB138, 0)))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18298, 18291])).
% 6.90/5.13 tff(18300,plain,
% 6.90/5.13 ((((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 0)) <=> v90(constB138, 0))) | (~((~v90(constB139, 2)) <=> v90(constB138, 2)))),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18301,plain,
% 6.90/5.13 (~((~v90(constB139, 2)) <=> v90(constB138, 2))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18300, 18299])).
% 6.90/5.13 tff(18302,plain,
% 6.90/5.13 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18303,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_137')).
% 6.90/5.13 tff(18304,plain,
% 6.90/5.13 (nextState(constB137, constB138)),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18303, 18302])).
% 6.90/5.13 tff(18305,plain,
% 6.90/5.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB137, constB138)) | (~(((~v129(constB138, 2)) <=> v127(constB137, 2)) | ((~v129(constB138, 1)) <=> v127(constB137, 1)) | ((~v129(constB138, 0)) <=> v127(constB137, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB137, constB138)) | (~(((~v129(constB138, 2)) <=> v127(constB137, 2)) | ((~v129(constB138, 1)) <=> v127(constB137, 1)) | ((~v129(constB138, 0)) <=> v127(constB137, 0)))))),
% 6.90/5.13 inference(rewrite,[status(thm)],[])).
% 6.90/5.13 tff(18306,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB137, constB138)) | (~(((~v129(constB138, 2)) <=> v127(constB137, 2)) | ((~v129(constB138, 1)) <=> v127(constB137, 1)) | ((~v129(constB138, 0)) <=> v127(constB137, 0)))))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18307,plain,
% 6.90/5.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB137, constB138)) | (~(((~v129(constB138, 2)) <=> v127(constB137, 2)) | ((~v129(constB138, 1)) <=> v127(constB137, 1)) | ((~v129(constB138, 0)) <=> v127(constB137, 0))))),
% 6.90/5.13 inference(modus_ponens,[status(thm)],[18306, 18305])).
% 6.90/5.13 tff(18308,plain,
% 6.90/5.13 (~(((~v129(constB138, 2)) <=> v127(constB137, 2)) | ((~v129(constB138, 1)) <=> v127(constB137, 1)) | ((~v129(constB138, 0)) <=> v127(constB137, 0)))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18307, 18304, 348])).
% 6.90/5.13 tff(18309,plain,
% 6.90/5.13 ((((~v129(constB138, 2)) <=> v127(constB137, 2)) | ((~v129(constB138, 1)) <=> v127(constB137, 1)) | ((~v129(constB138, 0)) <=> v127(constB137, 0))) | (~((~v129(constB138, 2)) <=> v127(constB137, 2)))),
% 6.90/5.13 inference(tautology,[status(thm)],[])).
% 6.90/5.13 tff(18310,plain,
% 6.90/5.13 (~((~v129(constB138, 2)) <=> v127(constB137, 2))),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18309, 18308])).
% 6.90/5.13 tff(18311,plain,
% 6.90/5.13 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB137) <=> v26(constB137))),
% 6.90/5.13 inference(quant_inst,[status(thm)],[])).
% 6.90/5.13 tff(18312,plain,
% 6.90/5.13 (v111(constB137) <=> v26(constB137)),
% 6.90/5.13 inference(unit_resolution,[status(thm)],[18311, 367])).
% 6.90/5.13 tff(18313,plain,
% 6.90/5.13 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB137))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18314,plain,
% 6.90/5.14 (~v26(constB137)),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18313, 379])).
% 6.90/5.14 tff(18315,plain,
% 6.90/5.14 ((~(v111(constB137) <=> v26(constB137))) | (~v111(constB137)) | v26(constB137)),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18316,plain,
% 6.90/5.14 ((~(v111(constB137) <=> v26(constB137))) | (~v111(constB137))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18315, 18314])).
% 6.90/5.14 tff(18317,plain,
% 6.90/5.14 (~v111(constB137)),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18316, 18312])).
% 6.90/5.14 tff(18318,plain,
% 6.90/5.14 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB137) | (~(((~v127(constB137, 2)) <=> v130(constB137, 2)) | ((~v127(constB137, 1)) <=> v130(constB137, 1)) | ((~v127(constB137, 0)) <=> v130(constB137, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB137) | (~(((~v127(constB137, 2)) <=> v130(constB137, 2)) | ((~v127(constB137, 1)) <=> v130(constB137, 1)) | ((~v127(constB137, 0)) <=> v130(constB137, 0)))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18319,plain,
% 6.90/5.14 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB137) | (~(((~v127(constB137, 2)) <=> v130(constB137, 2)) | ((~v127(constB137, 1)) <=> v130(constB137, 1)) | ((~v127(constB137, 0)) <=> v130(constB137, 0)))))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18320,plain,
% 6.90/5.14 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB137) | (~(((~v127(constB137, 2)) <=> v130(constB137, 2)) | ((~v127(constB137, 1)) <=> v130(constB137, 1)) | ((~v127(constB137, 0)) <=> v130(constB137, 0))))),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18319, 18318])).
% 6.90/5.14 tff(18321,plain,
% 6.90/5.14 (v111(constB137) | (~(((~v127(constB137, 2)) <=> v130(constB137, 2)) | ((~v127(constB137, 1)) <=> v130(constB137, 1)) | ((~v127(constB137, 0)) <=> v130(constB137, 0))))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18320, 397])).
% 6.90/5.14 tff(18322,plain,
% 6.90/5.14 (~(((~v127(constB137, 2)) <=> v130(constB137, 2)) | ((~v127(constB137, 1)) <=> v130(constB137, 1)) | ((~v127(constB137, 0)) <=> v130(constB137, 0)))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18321, 18317])).
% 6.90/5.14 tff(18323,plain,
% 6.90/5.14 ((((~v127(constB137, 2)) <=> v130(constB137, 2)) | ((~v127(constB137, 1)) <=> v130(constB137, 1)) | ((~v127(constB137, 0)) <=> v130(constB137, 0))) | (~((~v127(constB137, 2)) <=> v130(constB137, 2)))),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18324,plain,
% 6.90/5.14 (~((~v127(constB137, 2)) <=> v130(constB137, 2))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18323, 18322])).
% 6.90/5.14 tff(18325,plain,
% 6.90/5.14 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB137) <=> (~(v90(constB137, 1) | v90(constB137, 2) | (~v90(constB137, 0)))))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18326,plain,
% 6.90/5.14 (v120(constB137) <=> (~(v90(constB137, 1) | v90(constB137, 2) | (~v90(constB137, 0))))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18325, 417])).
% 6.90/5.14 tff(18327,plain,
% 6.90/5.14 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18328,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_136')).
% 6.90/5.14 tff(18329,plain,
% 6.90/5.14 (nextState(constB136, constB137)),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18328, 18327])).
% 6.90/5.14 tff(18330,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18331,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18332,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137)))))),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18331, 18330])).
% 6.90/5.14 tff(18333,plain,
% 6.90/5.14 (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18332, 18329, 273])).
% 6.90/5.14 tff(18334,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18335,plain,
% 6.90/5.14 (((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137)))))) <=> ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18336,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))))),
% 6.90/5.14 inference(monotonicity,[status(thm)],[18335])).
% 6.90/5.14 tff(18337,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))),
% 6.90/5.14 inference(transitivity,[status(thm)],[18336, 18334])).
% 6.90/5.14 tff(18338,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137))))))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18339,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18338, 18337])).
% 6.90/5.14 tff(18340,plain,
% 6.90/5.14 (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18339, 18329, 293])).
% 6.90/5.14 tff(18341,plain,
% 6.90/5.14 ((~v1(constB137)) <=> (~v1(constB137))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18342,axiom,(~v1(constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_137')).
% 6.90/5.14 tff(18343,plain,
% 6.90/5.14 (~v1(constB137)),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18342, 18341])).
% 6.90/5.14 tff(18344,plain,
% 6.90/5.14 (((~v1(constB137)) | (~v102(constB137))) | v1(constB137)),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18345,plain,
% 6.90/5.14 ((~v1(constB137)) | (~v102(constB137))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18344, 18343])).
% 6.90/5.14 tff(18346,plain,
% 6.90/5.14 ((~(v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))) | (~v101(constB137)) | (~((~v1(constB137)) | (~v102(constB137))))),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18347,plain,
% 6.90/5.14 ((~(v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))) | (~v101(constB137))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18346, 18345])).
% 6.90/5.14 tff(18348,plain,
% 6.90/5.14 (~v101(constB137)),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18347, 18340])).
% 6.90/5.14 tff(18349,plain,
% 6.90/5.14 (((~v101(constB137)) | (~v110(constB137))) | v101(constB137)),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18350,plain,
% 6.90/5.14 ((~v101(constB137)) | (~v110(constB137))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18349, 18348])).
% 6.90/5.14 tff(18351,plain,
% 6.90/5.14 ((~(v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137)))))) | (~v100(constB137)) | (~((~v101(constB137)) | (~v110(constB137))))),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18352,plain,
% 6.90/5.14 (~v100(constB137)),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18351, 18350, 18333])).
% 6.90/5.14 tff(18353,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 0)) <=> v90(constB136, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 0)) <=> v90(constB136, 0)))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18354,plain,
% 6.90/5.14 ((v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 0)) <=> v90(constB136, 0))))) <=> (v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 0)) <=> v90(constB136, 0)))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18355,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 0)) <=> v90(constB136, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 0)) <=> v90(constB136, 0))))))),
% 6.90/5.14 inference(monotonicity,[status(thm)],[18354])).
% 6.90/5.14 tff(18356,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 0)) <=> v90(constB136, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 0)) <=> v90(constB136, 0)))))),
% 6.90/5.14 inference(transitivity,[status(thm)],[18355, 18353])).
% 6.90/5.14 tff(18357,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 0)) <=> v90(constB136, 0)))))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18358,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 0)) <=> v90(constB136, 0))))),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18357, 18356])).
% 6.90/5.14 tff(18359,plain,
% 6.90/5.14 (v100(constB137) | (~(((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 0)) <=> v90(constB136, 0))))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18358, 18329, 325])).
% 6.90/5.14 tff(18360,plain,
% 6.90/5.14 (~(((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 0)) <=> v90(constB136, 0)))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18359, 18352])).
% 6.90/5.14 tff(18361,plain,
% 6.90/5.14 ((((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 0)) <=> v90(constB136, 0))) | (~((~v90(constB137, 2)) <=> v90(constB136, 2)))),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18362,plain,
% 6.90/5.14 (~((~v90(constB137, 2)) <=> v90(constB136, 2))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18361, 18360])).
% 6.90/5.14 tff(18363,plain,
% 6.90/5.14 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18364,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_135')).
% 6.90/5.14 tff(18365,plain,
% 6.90/5.14 (nextState(constB135, constB136)),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18364, 18363])).
% 6.90/5.14 tff(18366,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB135, constB136)) | (~(((~v129(constB136, 2)) <=> v127(constB135, 2)) | ((~v129(constB136, 1)) <=> v127(constB135, 1)) | ((~v129(constB136, 0)) <=> v127(constB135, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB135, constB136)) | (~(((~v129(constB136, 2)) <=> v127(constB135, 2)) | ((~v129(constB136, 1)) <=> v127(constB135, 1)) | ((~v129(constB136, 0)) <=> v127(constB135, 0)))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18367,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB135, constB136)) | (~(((~v129(constB136, 2)) <=> v127(constB135, 2)) | ((~v129(constB136, 1)) <=> v127(constB135, 1)) | ((~v129(constB136, 0)) <=> v127(constB135, 0)))))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18368,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB135, constB136)) | (~(((~v129(constB136, 2)) <=> v127(constB135, 2)) | ((~v129(constB136, 1)) <=> v127(constB135, 1)) | ((~v129(constB136, 0)) <=> v127(constB135, 0))))),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18367, 18366])).
% 6.90/5.14 tff(18369,plain,
% 6.90/5.14 (~(((~v129(constB136, 2)) <=> v127(constB135, 2)) | ((~v129(constB136, 1)) <=> v127(constB135, 1)) | ((~v129(constB136, 0)) <=> v127(constB135, 0)))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18368, 18365, 348])).
% 6.90/5.14 tff(18370,plain,
% 6.90/5.14 ((((~v129(constB136, 2)) <=> v127(constB135, 2)) | ((~v129(constB136, 1)) <=> v127(constB135, 1)) | ((~v129(constB136, 0)) <=> v127(constB135, 0))) | (~((~v129(constB136, 2)) <=> v127(constB135, 2)))),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18371,plain,
% 6.90/5.14 (~((~v129(constB136, 2)) <=> v127(constB135, 2))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18370, 18369])).
% 6.90/5.14 tff(18372,plain,
% 6.90/5.14 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB135) <=> v26(constB135))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18373,plain,
% 6.90/5.14 (v111(constB135) <=> v26(constB135)),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18372, 367])).
% 6.90/5.14 tff(18374,plain,
% 6.90/5.14 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB135))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18375,plain,
% 6.90/5.14 (~v26(constB135)),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18374, 379])).
% 6.90/5.14 tff(18376,plain,
% 6.90/5.14 ((~(v111(constB135) <=> v26(constB135))) | (~v111(constB135)) | v26(constB135)),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18377,plain,
% 6.90/5.14 ((~(v111(constB135) <=> v26(constB135))) | (~v111(constB135))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18376, 18375])).
% 6.90/5.14 tff(18378,plain,
% 6.90/5.14 (~v111(constB135)),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18377, 18373])).
% 6.90/5.14 tff(18379,plain,
% 6.90/5.14 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB135) | (~(((~v127(constB135, 2)) <=> v130(constB135, 2)) | ((~v127(constB135, 1)) <=> v130(constB135, 1)) | ((~v127(constB135, 0)) <=> v130(constB135, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB135) | (~(((~v127(constB135, 2)) <=> v130(constB135, 2)) | ((~v127(constB135, 1)) <=> v130(constB135, 1)) | ((~v127(constB135, 0)) <=> v130(constB135, 0)))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18380,plain,
% 6.90/5.14 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB135) | (~(((~v127(constB135, 2)) <=> v130(constB135, 2)) | ((~v127(constB135, 1)) <=> v130(constB135, 1)) | ((~v127(constB135, 0)) <=> v130(constB135, 0)))))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18381,plain,
% 6.90/5.14 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB135) | (~(((~v127(constB135, 2)) <=> v130(constB135, 2)) | ((~v127(constB135, 1)) <=> v130(constB135, 1)) | ((~v127(constB135, 0)) <=> v130(constB135, 0))))),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18380, 18379])).
% 6.90/5.14 tff(18382,plain,
% 6.90/5.14 (v111(constB135) | (~(((~v127(constB135, 2)) <=> v130(constB135, 2)) | ((~v127(constB135, 1)) <=> v130(constB135, 1)) | ((~v127(constB135, 0)) <=> v130(constB135, 0))))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18381, 397])).
% 6.90/5.14 tff(18383,plain,
% 6.90/5.14 (~(((~v127(constB135, 2)) <=> v130(constB135, 2)) | ((~v127(constB135, 1)) <=> v130(constB135, 1)) | ((~v127(constB135, 0)) <=> v130(constB135, 0)))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18382, 18378])).
% 6.90/5.14 tff(18384,plain,
% 6.90/5.14 ((((~v127(constB135, 2)) <=> v130(constB135, 2)) | ((~v127(constB135, 1)) <=> v130(constB135, 1)) | ((~v127(constB135, 0)) <=> v130(constB135, 0))) | (~((~v127(constB135, 2)) <=> v130(constB135, 2)))),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18385,plain,
% 6.90/5.14 (~((~v127(constB135, 2)) <=> v130(constB135, 2))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18384, 18383])).
% 6.90/5.14 tff(18386,plain,
% 6.90/5.14 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB135) <=> (~(v90(constB135, 1) | v90(constB135, 2) | (~v90(constB135, 0)))))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18387,plain,
% 6.90/5.14 (v120(constB135) <=> (~(v90(constB135, 1) | v90(constB135, 2) | (~v90(constB135, 0))))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18386, 417])).
% 6.90/5.14 tff(18388,plain,
% 6.90/5.14 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18389,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_134')).
% 6.90/5.14 tff(18390,plain,
% 6.90/5.14 (nextState(constB134, constB135)),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18389, 18388])).
% 6.90/5.14 tff(18391,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18392,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18393,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135)))))),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18392, 18391])).
% 6.90/5.14 tff(18394,plain,
% 6.90/5.14 (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18393, 18390, 273])).
% 6.90/5.14 tff(18395,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18396,plain,
% 6.90/5.14 (((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135)))))) <=> ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18397,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))))),
% 6.90/5.14 inference(monotonicity,[status(thm)],[18396])).
% 6.90/5.14 tff(18398,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))),
% 6.90/5.14 inference(transitivity,[status(thm)],[18397, 18395])).
% 6.90/5.14 tff(18399,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135))))))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18400,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18399, 18398])).
% 6.90/5.14 tff(18401,plain,
% 6.90/5.14 (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18400, 18390, 293])).
% 6.90/5.14 tff(18402,plain,
% 6.90/5.14 ((~v1(constB135)) <=> (~v1(constB135))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18403,axiom,(~v1(constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_135')).
% 6.90/5.14 tff(18404,plain,
% 6.90/5.14 (~v1(constB135)),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18403, 18402])).
% 6.90/5.14 tff(18405,plain,
% 6.90/5.14 (((~v1(constB135)) | (~v102(constB135))) | v1(constB135)),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18406,plain,
% 6.90/5.14 ((~v1(constB135)) | (~v102(constB135))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18405, 18404])).
% 6.90/5.14 tff(18407,plain,
% 6.90/5.14 ((~(v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))) | (~v101(constB135)) | (~((~v1(constB135)) | (~v102(constB135))))),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18408,plain,
% 6.90/5.14 ((~(v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))) | (~v101(constB135))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18407, 18406])).
% 6.90/5.14 tff(18409,plain,
% 6.90/5.14 (~v101(constB135)),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18408, 18401])).
% 6.90/5.14 tff(18410,plain,
% 6.90/5.14 (((~v101(constB135)) | (~v110(constB135))) | v101(constB135)),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18411,plain,
% 6.90/5.14 ((~v101(constB135)) | (~v110(constB135))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18410, 18409])).
% 6.90/5.14 tff(18412,plain,
% 6.90/5.14 ((~(v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135)))))) | (~v100(constB135)) | (~((~v101(constB135)) | (~v110(constB135))))),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18413,plain,
% 6.90/5.14 (~v100(constB135)),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18412, 18411, 18394])).
% 6.90/5.14 tff(18414,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 0)) <=> v90(constB134, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 0)) <=> v90(constB134, 0)))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18415,plain,
% 6.90/5.14 ((v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 0)) <=> v90(constB134, 0))))) <=> (v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 0)) <=> v90(constB134, 0)))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18416,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 0)) <=> v90(constB134, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 0)) <=> v90(constB134, 0))))))),
% 6.90/5.14 inference(monotonicity,[status(thm)],[18415])).
% 6.90/5.14 tff(18417,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 0)) <=> v90(constB134, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 0)) <=> v90(constB134, 0)))))),
% 6.90/5.14 inference(transitivity,[status(thm)],[18416, 18414])).
% 6.90/5.14 tff(18418,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 0)) <=> v90(constB134, 0)))))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18419,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 0)) <=> v90(constB134, 0))))),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18418, 18417])).
% 6.90/5.14 tff(18420,plain,
% 6.90/5.14 (v100(constB135) | (~(((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 0)) <=> v90(constB134, 0))))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18419, 18390, 325])).
% 6.90/5.14 tff(18421,plain,
% 6.90/5.14 (~(((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 0)) <=> v90(constB134, 0)))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18420, 18413])).
% 6.90/5.14 tff(18422,plain,
% 6.90/5.14 ((((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 0)) <=> v90(constB134, 0))) | (~((~v90(constB135, 0)) <=> v90(constB134, 0)))),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18423,plain,
% 6.90/5.14 (~((~v90(constB135, 0)) <=> v90(constB134, 0))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18422, 18421])).
% 6.90/5.14 tff(18424,plain,
% 6.90/5.14 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18425,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_133')).
% 6.90/5.14 tff(18426,plain,
% 6.90/5.14 (nextState(constB133, constB134)),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18425, 18424])).
% 6.90/5.14 tff(18427,plain,
% 6.90/5.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB133, constB134)) | (~(((~v129(constB134, 2)) <=> v127(constB133, 2)) | ((~v129(constB134, 1)) <=> v127(constB133, 1)) | ((~v129(constB134, 0)) <=> v127(constB133, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB133, constB134)) | (~(((~v129(constB134, 2)) <=> v127(constB133, 2)) | ((~v129(constB134, 1)) <=> v127(constB133, 1)) | ((~v129(constB134, 0)) <=> v127(constB133, 0)))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18428,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB133, constB134)) | (~(((~v129(constB134, 2)) <=> v127(constB133, 2)) | ((~v129(constB134, 1)) <=> v127(constB133, 1)) | ((~v129(constB134, 0)) <=> v127(constB133, 0)))))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18429,plain,
% 6.90/5.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB133, constB134)) | (~(((~v129(constB134, 2)) <=> v127(constB133, 2)) | ((~v129(constB134, 1)) <=> v127(constB133, 1)) | ((~v129(constB134, 0)) <=> v127(constB133, 0))))),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18428, 18427])).
% 6.90/5.14 tff(18430,plain,
% 6.90/5.14 (~(((~v129(constB134, 2)) <=> v127(constB133, 2)) | ((~v129(constB134, 1)) <=> v127(constB133, 1)) | ((~v129(constB134, 0)) <=> v127(constB133, 0)))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18429, 18426, 348])).
% 6.90/5.14 tff(18431,plain,
% 6.90/5.14 ((((~v129(constB134, 2)) <=> v127(constB133, 2)) | ((~v129(constB134, 1)) <=> v127(constB133, 1)) | ((~v129(constB134, 0)) <=> v127(constB133, 0))) | (~((~v129(constB134, 0)) <=> v127(constB133, 0)))),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18432,plain,
% 6.90/5.14 (~((~v129(constB134, 0)) <=> v127(constB133, 0))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18431, 18430])).
% 6.90/5.14 tff(18433,plain,
% 6.90/5.14 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB133) <=> v26(constB133))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18434,plain,
% 6.90/5.14 (v111(constB133) <=> v26(constB133)),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18433, 367])).
% 6.90/5.14 tff(18435,plain,
% 6.90/5.14 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB133))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18436,plain,
% 6.90/5.14 (~v26(constB133)),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18435, 379])).
% 6.90/5.14 tff(18437,plain,
% 6.90/5.14 ((~(v111(constB133) <=> v26(constB133))) | (~v111(constB133)) | v26(constB133)),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18438,plain,
% 6.90/5.14 ((~(v111(constB133) <=> v26(constB133))) | (~v111(constB133))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18437, 18436])).
% 6.90/5.14 tff(18439,plain,
% 6.90/5.14 (~v111(constB133)),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18438, 18434])).
% 6.90/5.14 tff(18440,plain,
% 6.90/5.14 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB133) | (~(((~v127(constB133, 2)) <=> v130(constB133, 2)) | ((~v127(constB133, 1)) <=> v130(constB133, 1)) | ((~v127(constB133, 0)) <=> v130(constB133, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB133) | (~(((~v127(constB133, 2)) <=> v130(constB133, 2)) | ((~v127(constB133, 1)) <=> v130(constB133, 1)) | ((~v127(constB133, 0)) <=> v130(constB133, 0)))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18441,plain,
% 6.90/5.14 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB133) | (~(((~v127(constB133, 2)) <=> v130(constB133, 2)) | ((~v127(constB133, 1)) <=> v130(constB133, 1)) | ((~v127(constB133, 0)) <=> v130(constB133, 0)))))),
% 6.90/5.14 inference(quant_inst,[status(thm)],[])).
% 6.90/5.14 tff(18442,plain,
% 6.90/5.14 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB133) | (~(((~v127(constB133, 2)) <=> v130(constB133, 2)) | ((~v127(constB133, 1)) <=> v130(constB133, 1)) | ((~v127(constB133, 0)) <=> v130(constB133, 0))))),
% 6.90/5.14 inference(modus_ponens,[status(thm)],[18441, 18440])).
% 6.90/5.14 tff(18443,plain,
% 6.90/5.14 (v111(constB133) | (~(((~v127(constB133, 2)) <=> v130(constB133, 2)) | ((~v127(constB133, 1)) <=> v130(constB133, 1)) | ((~v127(constB133, 0)) <=> v130(constB133, 0))))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18442, 397])).
% 6.90/5.14 tff(18444,plain,
% 6.90/5.14 (~(((~v127(constB133, 2)) <=> v130(constB133, 2)) | ((~v127(constB133, 1)) <=> v130(constB133, 1)) | ((~v127(constB133, 0)) <=> v130(constB133, 0)))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18443, 18439])).
% 6.90/5.14 tff(18445,plain,
% 6.90/5.14 ((((~v127(constB133, 2)) <=> v130(constB133, 2)) | ((~v127(constB133, 1)) <=> v130(constB133, 1)) | ((~v127(constB133, 0)) <=> v130(constB133, 0))) | (~((~v127(constB133, 0)) <=> v130(constB133, 0)))),
% 6.90/5.14 inference(tautology,[status(thm)],[])).
% 6.90/5.14 tff(18446,plain,
% 6.90/5.14 (~((~v127(constB133, 0)) <=> v130(constB133, 0))),
% 6.90/5.14 inference(unit_resolution,[status(thm)],[18445, 18444])).
% 6.90/5.14 tff(18447,plain,
% 6.90/5.14 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB133) <=> (~(v90(constB133, 1) | v90(constB133, 0) | (~v90(constB133, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB133) <=> (~(v90(constB133, 1) | v90(constB133, 0) | (~v90(constB133, 2))))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18448,plain,
% 6.90/5.14 ((v123(constB133) <=> (~(v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2))))) <=> (v123(constB133) <=> (~(v90(constB133, 1) | v90(constB133, 0) | (~v90(constB133, 2)))))),
% 6.90/5.14 inference(rewrite,[status(thm)],[])).
% 6.90/5.14 tff(18449,plain,
% 6.90/5.14 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB133) <=> (~(v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB133) <=> (~(v90(constB133, 1) | v90(constB133, 0) | (~v90(constB133, 2))))))),
% 6.90/5.14 inference(monotonicity,[status(thm)],[18448])).
% 6.90/5.14 tff(18450,plain,
% 6.90/5.14 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB133) <=> (~(v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB133) <=> (~(v90(constB133, 1) | v90(constB133, 0) | (~v90(constB133, 2))))))),
% 6.90/5.15 inference(transitivity,[status(thm)],[18449, 18447])).
% 6.90/5.15 tff(18451,plain,
% 6.90/5.15 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB133) <=> (~(v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)))))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18452,plain,
% 6.90/5.15 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB133) <=> (~(v90(constB133, 1) | v90(constB133, 0) | (~v90(constB133, 2)))))),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18451, 18450])).
% 6.90/5.15 tff(18453,plain,
% 6.90/5.15 (v123(constB133) <=> (~(v90(constB133, 1) | v90(constB133, 0) | (~v90(constB133, 2))))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18452, 565])).
% 6.90/5.15 tff(18454,plain,
% 6.90/5.15 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18455,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_132')).
% 6.90/5.15 tff(18456,plain,
% 6.90/5.15 (nextState(constB132, constB133)),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18455, 18454])).
% 6.90/5.15 tff(18457,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18458,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18459,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133)))))),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18458, 18457])).
% 6.90/5.15 tff(18460,plain,
% 6.90/5.15 (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18459, 18456, 273])).
% 6.90/5.15 tff(18461,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18462,plain,
% 6.90/5.15 (((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133)))))) <=> ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18463,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))))),
% 6.90/5.15 inference(monotonicity,[status(thm)],[18462])).
% 6.90/5.15 tff(18464,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))),
% 6.90/5.15 inference(transitivity,[status(thm)],[18463, 18461])).
% 6.90/5.15 tff(18465,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133))))))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18466,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18465, 18464])).
% 6.90/5.15 tff(18467,plain,
% 6.90/5.15 (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18466, 18456, 293])).
% 6.90/5.15 tff(18468,plain,
% 6.90/5.15 ((~v1(constB133)) <=> (~v1(constB133))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18469,axiom,(~v1(constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_133')).
% 6.90/5.15 tff(18470,plain,
% 6.90/5.15 (~v1(constB133)),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18469, 18468])).
% 6.90/5.15 tff(18471,plain,
% 6.90/5.15 (((~v1(constB133)) | (~v102(constB133))) | v1(constB133)),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18472,plain,
% 6.90/5.15 ((~v1(constB133)) | (~v102(constB133))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18471, 18470])).
% 6.90/5.15 tff(18473,plain,
% 6.90/5.15 ((~(v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))) | (~v101(constB133)) | (~((~v1(constB133)) | (~v102(constB133))))),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18474,plain,
% 6.90/5.15 ((~(v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))) | (~v101(constB133))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18473, 18472])).
% 6.90/5.15 tff(18475,plain,
% 6.90/5.15 (~v101(constB133)),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18474, 18467])).
% 6.90/5.15 tff(18476,plain,
% 6.90/5.15 (((~v101(constB133)) | (~v110(constB133))) | v101(constB133)),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18477,plain,
% 6.90/5.15 ((~v101(constB133)) | (~v110(constB133))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18476, 18475])).
% 6.90/5.15 tff(18478,plain,
% 6.90/5.15 ((~(v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133)))))) | (~v100(constB133)) | (~((~v101(constB133)) | (~v110(constB133))))),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18479,plain,
% 6.90/5.15 (~v100(constB133)),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18478, 18477, 18460])).
% 6.90/5.15 tff(18480,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 0)) <=> v90(constB132, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 0)) <=> v90(constB132, 0)))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18481,plain,
% 6.90/5.15 ((v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 0)) <=> v90(constB132, 0))))) <=> (v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 0)) <=> v90(constB132, 0)))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18482,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 0)) <=> v90(constB132, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 0)) <=> v90(constB132, 0))))))),
% 6.90/5.15 inference(monotonicity,[status(thm)],[18481])).
% 6.90/5.15 tff(18483,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 0)) <=> v90(constB132, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 0)) <=> v90(constB132, 0)))))),
% 6.90/5.15 inference(transitivity,[status(thm)],[18482, 18480])).
% 6.90/5.15 tff(18484,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 0)) <=> v90(constB132, 0)))))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18485,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 0)) <=> v90(constB132, 0))))),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18484, 18483])).
% 6.90/5.15 tff(18486,plain,
% 6.90/5.15 (v100(constB133) | (~(((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 0)) <=> v90(constB132, 0))))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18485, 18456, 325])).
% 6.90/5.15 tff(18487,plain,
% 6.90/5.15 (~(((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 0)) <=> v90(constB132, 0)))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18486, 18479])).
% 6.90/5.15 tff(18488,plain,
% 6.90/5.15 ((((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 0)) <=> v90(constB132, 0))) | (~((~v90(constB133, 2)) <=> v90(constB132, 2)))),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18489,plain,
% 6.90/5.15 (~((~v90(constB133, 2)) <=> v90(constB132, 2))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18488, 18487])).
% 6.90/5.15 tff(18490,plain,
% 6.90/5.15 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18491,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_131')).
% 6.90/5.15 tff(18492,plain,
% 6.90/5.15 (nextState(constB131, constB132)),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18491, 18490])).
% 6.90/5.15 tff(18493,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB131, constB132)) | (~(((~v129(constB132, 2)) <=> v127(constB131, 2)) | ((~v129(constB132, 1)) <=> v127(constB131, 1)) | ((~v129(constB132, 0)) <=> v127(constB131, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB131, constB132)) | (~(((~v129(constB132, 2)) <=> v127(constB131, 2)) | ((~v129(constB132, 1)) <=> v127(constB131, 1)) | ((~v129(constB132, 0)) <=> v127(constB131, 0)))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18494,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB131, constB132)) | (~(((~v129(constB132, 2)) <=> v127(constB131, 2)) | ((~v129(constB132, 1)) <=> v127(constB131, 1)) | ((~v129(constB132, 0)) <=> v127(constB131, 0)))))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18495,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB131, constB132)) | (~(((~v129(constB132, 2)) <=> v127(constB131, 2)) | ((~v129(constB132, 1)) <=> v127(constB131, 1)) | ((~v129(constB132, 0)) <=> v127(constB131, 0))))),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18494, 18493])).
% 6.90/5.15 tff(18496,plain,
% 6.90/5.15 (~(((~v129(constB132, 2)) <=> v127(constB131, 2)) | ((~v129(constB132, 1)) <=> v127(constB131, 1)) | ((~v129(constB132, 0)) <=> v127(constB131, 0)))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18495, 18492, 348])).
% 6.90/5.15 tff(18497,plain,
% 6.90/5.15 ((((~v129(constB132, 2)) <=> v127(constB131, 2)) | ((~v129(constB132, 1)) <=> v127(constB131, 1)) | ((~v129(constB132, 0)) <=> v127(constB131, 0))) | (~((~v129(constB132, 2)) <=> v127(constB131, 2)))),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18498,plain,
% 6.90/5.15 (~((~v129(constB132, 2)) <=> v127(constB131, 2))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18497, 18496])).
% 6.90/5.15 tff(18499,plain,
% 6.90/5.15 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB131) <=> v26(constB131))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18500,plain,
% 6.90/5.15 (v111(constB131) <=> v26(constB131)),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18499, 367])).
% 6.90/5.15 tff(18501,plain,
% 6.90/5.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB131))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18502,plain,
% 6.90/5.15 (~v26(constB131)),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18501, 379])).
% 6.90/5.15 tff(18503,plain,
% 6.90/5.15 ((~(v111(constB131) <=> v26(constB131))) | (~v111(constB131)) | v26(constB131)),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18504,plain,
% 6.90/5.15 ((~(v111(constB131) <=> v26(constB131))) | (~v111(constB131))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18503, 18502])).
% 6.90/5.15 tff(18505,plain,
% 6.90/5.15 (~v111(constB131)),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18504, 18500])).
% 6.90/5.15 tff(18506,plain,
% 6.90/5.15 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB131) | (~(((~v127(constB131, 2)) <=> v130(constB131, 2)) | ((~v127(constB131, 1)) <=> v130(constB131, 1)) | ((~v127(constB131, 0)) <=> v130(constB131, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB131) | (~(((~v127(constB131, 2)) <=> v130(constB131, 2)) | ((~v127(constB131, 1)) <=> v130(constB131, 1)) | ((~v127(constB131, 0)) <=> v130(constB131, 0)))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18507,plain,
% 6.90/5.15 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB131) | (~(((~v127(constB131, 2)) <=> v130(constB131, 2)) | ((~v127(constB131, 1)) <=> v130(constB131, 1)) | ((~v127(constB131, 0)) <=> v130(constB131, 0)))))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18508,plain,
% 6.90/5.15 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB131) | (~(((~v127(constB131, 2)) <=> v130(constB131, 2)) | ((~v127(constB131, 1)) <=> v130(constB131, 1)) | ((~v127(constB131, 0)) <=> v130(constB131, 0))))),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18507, 18506])).
% 6.90/5.15 tff(18509,plain,
% 6.90/5.15 (v111(constB131) | (~(((~v127(constB131, 2)) <=> v130(constB131, 2)) | ((~v127(constB131, 1)) <=> v130(constB131, 1)) | ((~v127(constB131, 0)) <=> v130(constB131, 0))))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18508, 397])).
% 6.90/5.15 tff(18510,plain,
% 6.90/5.15 (~(((~v127(constB131, 2)) <=> v130(constB131, 2)) | ((~v127(constB131, 1)) <=> v130(constB131, 1)) | ((~v127(constB131, 0)) <=> v130(constB131, 0)))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18509, 18505])).
% 6.90/5.15 tff(18511,plain,
% 6.90/5.15 ((((~v127(constB131, 2)) <=> v130(constB131, 2)) | ((~v127(constB131, 1)) <=> v130(constB131, 1)) | ((~v127(constB131, 0)) <=> v130(constB131, 0))) | (~((~v127(constB131, 2)) <=> v130(constB131, 2)))),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18512,plain,
% 6.90/5.15 (~((~v127(constB131, 2)) <=> v130(constB131, 2))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18511, 18510])).
% 6.90/5.15 tff(18513,plain,
% 6.90/5.15 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB131) <=> (~(v90(constB131, 2) | (~v90(constB131, 1)) | (~v90(constB131, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB131) <=> (~(v90(constB131, 2) | (~v90(constB131, 1)) | (~v90(constB131, 0))))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18514,plain,
% 6.90/5.15 ((v122(constB131) <=> (~(v90(constB131, 2) | (~v90(constB131, 0)) | (~v90(constB131, 1))))) <=> (v122(constB131) <=> (~(v90(constB131, 2) | (~v90(constB131, 1)) | (~v90(constB131, 0)))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18515,plain,
% 6.90/5.15 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB131) <=> (~(v90(constB131, 2) | (~v90(constB131, 0)) | (~v90(constB131, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB131) <=> (~(v90(constB131, 2) | (~v90(constB131, 1)) | (~v90(constB131, 0))))))),
% 6.90/5.15 inference(monotonicity,[status(thm)],[18514])).
% 6.90/5.15 tff(18516,plain,
% 6.90/5.15 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB131) <=> (~(v90(constB131, 2) | (~v90(constB131, 0)) | (~v90(constB131, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB131) <=> (~(v90(constB131, 2) | (~v90(constB131, 1)) | (~v90(constB131, 0))))))),
% 6.90/5.15 inference(transitivity,[status(thm)],[18515, 18513])).
% 6.90/5.15 tff(18517,plain,
% 6.90/5.15 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB131) <=> (~(v90(constB131, 2) | (~v90(constB131, 0)) | (~v90(constB131, 1)))))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18518,plain,
% 6.90/5.15 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB131) <=> (~(v90(constB131, 2) | (~v90(constB131, 1)) | (~v90(constB131, 0)))))),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18517, 18516])).
% 6.90/5.15 tff(18519,plain,
% 6.90/5.15 (v122(constB131) <=> (~(v90(constB131, 2) | (~v90(constB131, 1)) | (~v90(constB131, 0))))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18518, 644])).
% 6.90/5.15 tff(18520,plain,
% 6.90/5.15 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18521,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_130')).
% 6.90/5.15 tff(18522,plain,
% 6.90/5.15 (nextState(constB130, constB131)),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18521, 18520])).
% 6.90/5.15 tff(18523,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18524,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18525,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131)))))),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18524, 18523])).
% 6.90/5.15 tff(18526,plain,
% 6.90/5.15 (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18525, 18522, 273])).
% 6.90/5.15 tff(18527,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18528,plain,
% 6.90/5.15 (((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131)))))) <=> ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18529,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))))),
% 6.90/5.15 inference(monotonicity,[status(thm)],[18528])).
% 6.90/5.15 tff(18530,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))),
% 6.90/5.15 inference(transitivity,[status(thm)],[18529, 18527])).
% 6.90/5.15 tff(18531,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131))))))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18532,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18531, 18530])).
% 6.90/5.15 tff(18533,plain,
% 6.90/5.15 (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18532, 18522, 293])).
% 6.90/5.15 tff(18534,plain,
% 6.90/5.15 ((~v1(constB131)) <=> (~v1(constB131))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18535,axiom,(~v1(constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_131')).
% 6.90/5.15 tff(18536,plain,
% 6.90/5.15 (~v1(constB131)),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18535, 18534])).
% 6.90/5.15 tff(18537,plain,
% 6.90/5.15 (((~v1(constB131)) | (~v102(constB131))) | v1(constB131)),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18538,plain,
% 6.90/5.15 ((~v1(constB131)) | (~v102(constB131))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18537, 18536])).
% 6.90/5.15 tff(18539,plain,
% 6.90/5.15 ((~(v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))) | (~v101(constB131)) | (~((~v1(constB131)) | (~v102(constB131))))),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18540,plain,
% 6.90/5.15 ((~(v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))) | (~v101(constB131))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18539, 18538])).
% 6.90/5.15 tff(18541,plain,
% 6.90/5.15 (~v101(constB131)),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18540, 18533])).
% 6.90/5.15 tff(18542,plain,
% 6.90/5.15 (((~v101(constB131)) | (~v110(constB131))) | v101(constB131)),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18543,plain,
% 6.90/5.15 ((~v101(constB131)) | (~v110(constB131))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18542, 18541])).
% 6.90/5.15 tff(18544,plain,
% 6.90/5.15 ((~(v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131)))))) | (~v100(constB131)) | (~((~v101(constB131)) | (~v110(constB131))))),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18545,plain,
% 6.90/5.15 (~v100(constB131)),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18544, 18543, 18526])).
% 6.90/5.15 tff(18546,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 0)) <=> v90(constB130, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 0)) <=> v90(constB130, 0)))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18547,plain,
% 6.90/5.15 ((v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 0)) <=> v90(constB130, 0))))) <=> (v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 0)) <=> v90(constB130, 0)))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18548,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 0)) <=> v90(constB130, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 0)) <=> v90(constB130, 0))))))),
% 6.90/5.15 inference(monotonicity,[status(thm)],[18547])).
% 6.90/5.15 tff(18549,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 0)) <=> v90(constB130, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 0)) <=> v90(constB130, 0)))))),
% 6.90/5.15 inference(transitivity,[status(thm)],[18548, 18546])).
% 6.90/5.15 tff(18550,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 0)) <=> v90(constB130, 0)))))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18551,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 0)) <=> v90(constB130, 0))))),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18550, 18549])).
% 6.90/5.15 tff(18552,plain,
% 6.90/5.15 (v100(constB131) | (~(((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 0)) <=> v90(constB130, 0))))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18551, 18522, 325])).
% 6.90/5.15 tff(18553,plain,
% 6.90/5.15 (~(((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 0)) <=> v90(constB130, 0)))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18552, 18545])).
% 6.90/5.15 tff(18554,plain,
% 6.90/5.15 ((((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 0)) <=> v90(constB130, 0))) | (~((~v90(constB131, 2)) <=> v90(constB130, 2)))),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18555,plain,
% 6.90/5.15 (~((~v90(constB131, 2)) <=> v90(constB130, 2))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18554, 18553])).
% 6.90/5.15 tff(18556,plain,
% 6.90/5.15 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18557,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_129')).
% 6.90/5.15 tff(18558,plain,
% 6.90/5.15 (nextState(constB129, constB130)),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18557, 18556])).
% 6.90/5.15 tff(18559,plain,
% 6.90/5.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB129, constB130)) | (~(((~v129(constB130, 2)) <=> v127(constB129, 2)) | ((~v129(constB130, 1)) <=> v127(constB129, 1)) | ((~v129(constB130, 0)) <=> v127(constB129, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB129, constB130)) | (~(((~v129(constB130, 2)) <=> v127(constB129, 2)) | ((~v129(constB130, 1)) <=> v127(constB129, 1)) | ((~v129(constB130, 0)) <=> v127(constB129, 0)))))),
% 6.90/5.15 inference(rewrite,[status(thm)],[])).
% 6.90/5.15 tff(18560,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB129, constB130)) | (~(((~v129(constB130, 2)) <=> v127(constB129, 2)) | ((~v129(constB130, 1)) <=> v127(constB129, 1)) | ((~v129(constB130, 0)) <=> v127(constB129, 0)))))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18561,plain,
% 6.90/5.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB129, constB130)) | (~(((~v129(constB130, 2)) <=> v127(constB129, 2)) | ((~v129(constB130, 1)) <=> v127(constB129, 1)) | ((~v129(constB130, 0)) <=> v127(constB129, 0))))),
% 6.90/5.15 inference(modus_ponens,[status(thm)],[18560, 18559])).
% 6.90/5.15 tff(18562,plain,
% 6.90/5.15 (~(((~v129(constB130, 2)) <=> v127(constB129, 2)) | ((~v129(constB130, 1)) <=> v127(constB129, 1)) | ((~v129(constB130, 0)) <=> v127(constB129, 0)))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18561, 18558, 348])).
% 6.90/5.15 tff(18563,plain,
% 6.90/5.15 ((((~v129(constB130, 2)) <=> v127(constB129, 2)) | ((~v129(constB130, 1)) <=> v127(constB129, 1)) | ((~v129(constB130, 0)) <=> v127(constB129, 0))) | (~((~v129(constB130, 2)) <=> v127(constB129, 2)))),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18564,plain,
% 6.90/5.15 (~((~v129(constB130, 2)) <=> v127(constB129, 2))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18563, 18562])).
% 6.90/5.15 tff(18565,plain,
% 6.90/5.15 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB129) <=> v26(constB129))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18566,plain,
% 6.90/5.15 (v111(constB129) <=> v26(constB129)),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18565, 367])).
% 6.90/5.15 tff(18567,plain,
% 6.90/5.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB129))),
% 6.90/5.15 inference(quant_inst,[status(thm)],[])).
% 6.90/5.15 tff(18568,plain,
% 6.90/5.15 (~v26(constB129)),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18567, 379])).
% 6.90/5.15 tff(18569,plain,
% 6.90/5.15 ((~(v111(constB129) <=> v26(constB129))) | (~v111(constB129)) | v26(constB129)),
% 6.90/5.15 inference(tautology,[status(thm)],[])).
% 6.90/5.15 tff(18570,plain,
% 6.90/5.15 ((~(v111(constB129) <=> v26(constB129))) | (~v111(constB129))),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18569, 18568])).
% 6.90/5.15 tff(18571,plain,
% 6.90/5.15 (~v111(constB129)),
% 6.90/5.15 inference(unit_resolution,[status(thm)],[18570, 18566])).
% 6.90/5.15 tff(18572,plain,
% 6.90/5.15 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB129) | (~(((~v127(constB129, 2)) <=> v130(constB129, 2)) | ((~v127(constB129, 1)) <=> v130(constB129, 1)) | ((~v127(constB129, 0)) <=> v130(constB129, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB129) | (~(((~v127(constB129, 2)) <=> v130(constB129, 2)) | ((~v127(constB129, 1)) <=> v130(constB129, 1)) | ((~v127(constB129, 0)) <=> v130(constB129, 0)))))),
% 6.90/5.16 inference(rewrite,[status(thm)],[])).
% 6.90/5.16 tff(18573,plain,
% 6.90/5.16 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB129) | (~(((~v127(constB129, 2)) <=> v130(constB129, 2)) | ((~v127(constB129, 1)) <=> v130(constB129, 1)) | ((~v127(constB129, 0)) <=> v130(constB129, 0)))))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18574,plain,
% 6.90/5.16 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB129) | (~(((~v127(constB129, 2)) <=> v130(constB129, 2)) | ((~v127(constB129, 1)) <=> v130(constB129, 1)) | ((~v127(constB129, 0)) <=> v130(constB129, 0))))),
% 6.90/5.16 inference(modus_ponens,[status(thm)],[18573, 18572])).
% 6.90/5.16 tff(18575,plain,
% 6.90/5.16 (v111(constB129) | (~(((~v127(constB129, 2)) <=> v130(constB129, 2)) | ((~v127(constB129, 1)) <=> v130(constB129, 1)) | ((~v127(constB129, 0)) <=> v130(constB129, 0))))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18574, 397])).
% 6.90/5.16 tff(18576,plain,
% 6.90/5.16 (~(((~v127(constB129, 2)) <=> v130(constB129, 2)) | ((~v127(constB129, 1)) <=> v130(constB129, 1)) | ((~v127(constB129, 0)) <=> v130(constB129, 0)))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18575, 18571])).
% 6.90/5.16 tff(18577,plain,
% 6.90/5.16 ((((~v127(constB129, 2)) <=> v130(constB129, 2)) | ((~v127(constB129, 1)) <=> v130(constB129, 1)) | ((~v127(constB129, 0)) <=> v130(constB129, 0))) | (~((~v127(constB129, 2)) <=> v130(constB129, 2)))),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18578,plain,
% 6.90/5.16 (~((~v127(constB129, 2)) <=> v130(constB129, 2))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18577, 18576])).
% 6.90/5.16 tff(18579,plain,
% 6.90/5.16 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB129) <=> (~(v90(constB129, 2) | v90(constB129, 0) | (~v90(constB129, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB129) <=> (~(v90(constB129, 2) | v90(constB129, 0) | (~v90(constB129, 1))))))),
% 6.90/5.16 inference(rewrite,[status(thm)],[])).
% 6.90/5.16 tff(18580,plain,
% 6.90/5.16 ((v121(constB129) <=> (~(v90(constB129, 0) | v90(constB129, 2) | (~v90(constB129, 1))))) <=> (v121(constB129) <=> (~(v90(constB129, 2) | v90(constB129, 0) | (~v90(constB129, 1)))))),
% 6.90/5.16 inference(rewrite,[status(thm)],[])).
% 6.90/5.16 tff(18581,plain,
% 6.90/5.16 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB129) <=> (~(v90(constB129, 0) | v90(constB129, 2) | (~v90(constB129, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB129) <=> (~(v90(constB129, 2) | v90(constB129, 0) | (~v90(constB129, 1))))))),
% 6.90/5.16 inference(monotonicity,[status(thm)],[18580])).
% 6.90/5.16 tff(18582,plain,
% 6.90/5.16 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB129) <=> (~(v90(constB129, 0) | v90(constB129, 2) | (~v90(constB129, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB129) <=> (~(v90(constB129, 2) | v90(constB129, 0) | (~v90(constB129, 1))))))),
% 6.90/5.16 inference(transitivity,[status(thm)],[18581, 18579])).
% 6.90/5.16 tff(18583,plain,
% 6.90/5.16 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB129) <=> (~(v90(constB129, 0) | v90(constB129, 2) | (~v90(constB129, 1)))))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18584,plain,
% 6.90/5.16 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB129) <=> (~(v90(constB129, 2) | v90(constB129, 0) | (~v90(constB129, 1)))))),
% 6.90/5.16 inference(modus_ponens,[status(thm)],[18583, 18582])).
% 6.90/5.16 tff(18585,plain,
% 6.90/5.16 (v121(constB129) <=> (~(v90(constB129, 2) | v90(constB129, 0) | (~v90(constB129, 1))))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18584, 723])).
% 6.90/5.16 tff(18586,plain,
% 6.90/5.16 ((~(v90(constB129, 2) | v90(constB129, 0) | (~v90(constB129, 1)))) | v90(constB129, 2) | v90(constB129, 0) | (~v90(constB129, 1))),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18587,plain,
% 6.90/5.16 (~(v90(constB129, 2) | v90(constB129, 0) | (~v90(constB129, 1)))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18586, 15028, 15006, 14984])).
% 6.90/5.16 tff(18588,plain,
% 6.90/5.16 ((~(v121(constB129) <=> (~(v90(constB129, 2) | v90(constB129, 0) | (~v90(constB129, 1)))))) | v121(constB129) | (v90(constB129, 2) | v90(constB129, 0) | (~v90(constB129, 1)))),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18589,plain,
% 6.90/5.16 (v121(constB129)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18588, 18587, 18585])).
% 6.90/5.16 tff(18590,plain,
% 6.90/5.16 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB129)) | (~(v130(constB129, 2) | (~v130(constB129, 1)) | (~v130(constB129, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB129)) | (~(v130(constB129, 2) | (~v130(constB129, 1)) | (~v130(constB129, 0)))))),
% 6.90/5.16 inference(rewrite,[status(thm)],[])).
% 6.90/5.16 tff(18591,plain,
% 6.90/5.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB129)) | (~(v130(constB129, 2) | (~v130(constB129, 1)) | (~v130(constB129, 0)))))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18592,plain,
% 6.90/5.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB129)) | (~(v130(constB129, 2) | (~v130(constB129, 1)) | (~v130(constB129, 0))))),
% 6.90/5.16 inference(modus_ponens,[status(thm)],[18591, 18590])).
% 6.90/5.16 tff(18593,plain,
% 6.90/5.16 ((~v121(constB129)) | (~(v130(constB129, 2) | (~v130(constB129, 1)) | (~v130(constB129, 0))))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18592, 5420])).
% 6.90/5.16 tff(18594,plain,
% 6.90/5.16 (~(v130(constB129, 2) | (~v130(constB129, 1)) | (~v130(constB129, 0)))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18593, 18589])).
% 6.90/5.16 tff(18595,plain,
% 6.90/5.16 ((v130(constB129, 2) | (~v130(constB129, 1)) | (~v130(constB129, 0))) | (~v130(constB129, 2))),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18596,plain,
% 6.90/5.16 (~v130(constB129, 2)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18595, 18594])).
% 6.90/5.16 tff(18597,plain,
% 6.90/5.16 (((~v127(constB129, 2)) <=> v130(constB129, 2)) | (~v127(constB129, 2)) | v130(constB129, 2)),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18598,plain,
% 6.90/5.16 (~v127(constB129, 2)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18597, 18596, 18578])).
% 6.90/5.16 tff(18599,plain,
% 6.90/5.16 (((~v129(constB130, 2)) <=> v127(constB129, 2)) | (~v129(constB130, 2)) | v127(constB129, 2)),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18600,plain,
% 6.90/5.16 (~v129(constB130, 2)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18599, 18598, 18564])).
% 6.90/5.16 tff(18601,plain,
% 6.90/5.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))))),
% 6.90/5.16 inference(rewrite,[status(thm)],[])).
% 6.90/5.16 tff(18602,plain,
% 6.90/5.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18603,plain,
% 6.90/5.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130)))))),
% 6.90/5.16 inference(modus_ponens,[status(thm)],[18602, 18601])).
% 6.90/5.16 tff(18604,plain,
% 6.90/5.16 (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18603, 18558, 273])).
% 6.90/5.16 tff(18605,plain,
% 6.90/5.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))),
% 6.90/5.16 inference(rewrite,[status(thm)],[])).
% 6.90/5.16 tff(18606,plain,
% 6.90/5.16 (((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130)))))) <=> ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))),
% 6.90/5.16 inference(rewrite,[status(thm)],[])).
% 6.90/5.16 tff(18607,plain,
% 6.90/5.16 (((~![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) <=> (~((~v1(constB130)) | (~v102(constB130)))))))),
% 6.90/5.16 inference(monotonicity,[status(thm)],[18606])).
% 6.90/5.16 tff(18608,plain,
% 6.90/5.16 (((~![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) <=> (~((~v1(constB130)) | (~v102(constB130))))))),
% 6.90/5.16 inference(transitivity,[status(thm)],[18607, 18605])).
% 6.90/5.16 tff(18609,plain,
% 6.90/5.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130))))))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18610,plain,
% 6.90/5.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130)))))),
% 6.90/5.16 inference(modus_ponens,[status(thm)],[18609, 18608])).
% 6.90/5.16 tff(18611,plain,
% 6.90/5.16 (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18610, 18558, 293])).
% 6.90/5.16 tff(18612,plain,
% 6.90/5.16 (((~![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)))),
% 6.90/5.16 inference(rewrite,[status(thm)],[])).
% 6.90/5.16 tff(18613,plain,
% 6.90/5.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130)))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18614,plain,
% 6.90/5.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130))),
% 6.90/5.16 inference(modus_ponens,[status(thm)],[18613, 18612])).
% 6.90/5.16 tff(18615,plain,
% 6.90/5.16 ((~v102(constB130)) <=> v104(constB130)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18614, 18558, 4609])).
% 6.90/5.16 tff(18616,plain,
% 6.90/5.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129)))),
% 6.90/5.16 inference(rewrite,[status(thm)],[])).
% 6.90/5.16 tff(18617,plain,
% 6.90/5.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129)))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18618,plain,
% 6.90/5.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129))),
% 6.90/5.16 inference(modus_ponens,[status(thm)],[18617, 18616])).
% 6.90/5.16 tff(18619,plain,
% 6.90/5.16 (v104(constB130) <=> v1(constB129)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18618, 18558, 4623])).
% 6.90/5.16 tff(18620,plain,
% 6.90/5.16 ((~(v104(constB130) <=> v1(constB129))) | (~v104(constB130)) | v1(constB129)),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18621,plain,
% 6.90/5.16 ((~(v104(constB130) <=> v1(constB129))) | (~v104(constB130))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18620, 303])).
% 6.90/5.16 tff(18622,plain,
% 6.90/5.16 (~v104(constB130)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18621, 18619])).
% 6.90/5.16 tff(18623,plain,
% 6.90/5.16 ((~((~v102(constB130)) <=> v104(constB130))) | v102(constB130) | v104(constB130)),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18624,plain,
% 6.90/5.16 (v102(constB130)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18623, 18622, 18615])).
% 6.90/5.16 tff(18625,plain,
% 6.90/5.16 (v1(constB130) <=> v1(constB130)),
% 6.90/5.16 inference(rewrite,[status(thm)],[])).
% 6.90/5.16 tff(18626,axiom,(v1(constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_130')).
% 6.90/5.16 tff(18627,plain,
% 6.90/5.16 (v1(constB130)),
% 6.90/5.16 inference(modus_ponens,[status(thm)],[18626, 18625])).
% 6.90/5.16 tff(18628,plain,
% 6.90/5.16 ((~((~v1(constB130)) | (~v102(constB130)))) | (~v1(constB130)) | (~v102(constB130))),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18629,plain,
% 6.90/5.16 ((~((~v1(constB130)) | (~v102(constB130)))) | (~v102(constB130))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18628, 18627])).
% 6.90/5.16 tff(18630,plain,
% 6.90/5.16 (~((~v1(constB130)) | (~v102(constB130)))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18629, 18624])).
% 6.90/5.16 tff(18631,plain,
% 6.90/5.16 ((~(v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130)))))) | v101(constB130) | ((~v1(constB130)) | (~v102(constB130)))),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18632,plain,
% 6.90/5.16 (v101(constB130)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18631, 18630, 18611])).
% 6.90/5.16 tff(18633,plain,
% 6.90/5.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129)))),
% 6.90/5.16 inference(rewrite,[status(thm)],[])).
% 6.90/5.16 tff(18634,plain,
% 6.90/5.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129)))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18635,plain,
% 6.90/5.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129))),
% 6.90/5.16 inference(modus_ponens,[status(thm)],[18634, 18633])).
% 6.90/5.16 tff(18636,plain,
% 6.90/5.16 (v110(constB130) <=> v108(constB129)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18635, 18558, 4650])).
% 6.90/5.16 tff(18637,plain,
% 6.90/5.16 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB129) <=> (v111(constB129) | v112(constB129)))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18638,plain,
% 6.90/5.16 (v108(constB129) <=> (v111(constB129) | v112(constB129))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18637, 4661])).
% 6.90/5.16 tff(18639,plain,
% 6.90/5.16 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129)))))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18640,plain,
% 6.90/5.16 (v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129))))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18639, 4673])).
% 6.90/5.16 tff(18641,plain,
% 6.90/5.16 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB129) <=> (v114(constB129) | v125(constB129)))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18642,plain,
% 6.90/5.16 (v113(constB129) <=> (v114(constB129) | v125(constB129))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18641, 4682])).
% 6.90/5.16 tff(18643,plain,
% 6.90/5.16 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB129) <=> (v115(constB129) | v124(constB129)))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18644,plain,
% 6.90/5.16 (v114(constB129) <=> (v115(constB129) | v124(constB129))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18643, 4691])).
% 6.90/5.16 tff(18645,plain,
% 6.90/5.16 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB129) <=> (v116(constB129) | v123(constB129)))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18646,plain,
% 6.90/5.16 (v115(constB129) <=> (v116(constB129) | v123(constB129))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18645, 4700])).
% 6.90/5.16 tff(18647,plain,
% 6.90/5.16 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB129) <=> (v117(constB129) | v122(constB129)))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18648,plain,
% 6.90/5.16 (v116(constB129) <=> (v117(constB129) | v122(constB129))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18647, 4709])).
% 6.90/5.16 tff(18649,plain,
% 6.90/5.16 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB129) <=> (v118(constB129) | v121(constB129)))),
% 6.90/5.16 inference(quant_inst,[status(thm)],[])).
% 6.90/5.16 tff(18650,plain,
% 6.90/5.16 (v117(constB129) <=> (v118(constB129) | v121(constB129))),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18649, 4718])).
% 6.90/5.16 tff(18651,plain,
% 6.90/5.16 ((v118(constB129) | v121(constB129)) | (~v121(constB129))),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18652,plain,
% 6.90/5.16 (v118(constB129) | v121(constB129)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18651, 18589])).
% 6.90/5.16 tff(18653,plain,
% 6.90/5.16 ((~(v117(constB129) <=> (v118(constB129) | v121(constB129)))) | v117(constB129) | (~(v118(constB129) | v121(constB129)))),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18654,plain,
% 6.90/5.16 (v117(constB129)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18653, 18652, 18650])).
% 6.90/5.16 tff(18655,plain,
% 6.90/5.16 ((v117(constB129) | v122(constB129)) | (~v117(constB129))),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18656,plain,
% 6.90/5.16 (v117(constB129) | v122(constB129)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18655, 18654])).
% 6.90/5.16 tff(18657,plain,
% 6.90/5.16 ((~(v116(constB129) <=> (v117(constB129) | v122(constB129)))) | v116(constB129) | (~(v117(constB129) | v122(constB129)))),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18658,plain,
% 6.90/5.16 (v116(constB129)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18657, 18656, 18648])).
% 6.90/5.16 tff(18659,plain,
% 6.90/5.16 ((v116(constB129) | v123(constB129)) | (~v116(constB129))),
% 6.90/5.16 inference(tautology,[status(thm)],[])).
% 6.90/5.16 tff(18660,plain,
% 6.90/5.16 (v116(constB129) | v123(constB129)),
% 6.90/5.16 inference(unit_resolution,[status(thm)],[18659, 18658])).
% 6.97/5.16 tff(18661,plain,
% 6.97/5.16 ((~(v115(constB129) <=> (v116(constB129) | v123(constB129)))) | v115(constB129) | (~(v116(constB129) | v123(constB129)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18662,plain,
% 6.97/5.16 (v115(constB129)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18661, 18660, 18646])).
% 6.97/5.16 tff(18663,plain,
% 6.97/5.16 ((v115(constB129) | v124(constB129)) | (~v115(constB129))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18664,plain,
% 6.97/5.16 (v115(constB129) | v124(constB129)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18663, 18662])).
% 6.97/5.16 tff(18665,plain,
% 6.97/5.16 ((~(v114(constB129) <=> (v115(constB129) | v124(constB129)))) | v114(constB129) | (~(v115(constB129) | v124(constB129)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18666,plain,
% 6.97/5.16 (v114(constB129)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18665, 18664, 18644])).
% 6.97/5.16 tff(18667,plain,
% 6.97/5.16 ((v114(constB129) | v125(constB129)) | (~v114(constB129))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18668,plain,
% 6.97/5.16 (v114(constB129) | v125(constB129)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18667, 18666])).
% 6.97/5.16 tff(18669,plain,
% 6.97/5.16 ((~(v113(constB129) <=> (v114(constB129) | v125(constB129)))) | v113(constB129) | (~(v114(constB129) | v125(constB129)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18670,plain,
% 6.97/5.16 (v113(constB129)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18669, 18668, 18642])).
% 6.97/5.16 tff(18671,plain,
% 6.97/5.16 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB129)) <=> v111(constB129))),
% 6.97/5.16 inference(quant_inst,[status(thm)],[])).
% 6.97/5.16 tff(18672,plain,
% 6.97/5.16 ((~v126(constB129)) <=> v111(constB129)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18671, 4761])).
% 6.97/5.16 tff(18673,plain,
% 6.97/5.16 ((~((~v126(constB129)) <=> v111(constB129))) | v126(constB129) | v111(constB129)),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18674,plain,
% 6.97/5.16 ((~((~v126(constB129)) <=> v111(constB129))) | v126(constB129)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18673, 18571])).
% 6.97/5.16 tff(18675,plain,
% 6.97/5.16 (v126(constB129)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18674, 18672])).
% 6.97/5.16 tff(18676,plain,
% 6.97/5.16 ((~((~v113(constB129)) | (~v126(constB129)))) | (~v113(constB129)) | (~v126(constB129))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18677,plain,
% 6.97/5.16 ((~((~v113(constB129)) | (~v126(constB129)))) | (~v113(constB129))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18676, 18675])).
% 6.97/5.16 tff(18678,plain,
% 6.97/5.16 (~((~v113(constB129)) | (~v126(constB129)))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18677, 18670])).
% 6.97/5.16 tff(18679,plain,
% 6.97/5.16 ((~(v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129)))))) | v112(constB129) | ((~v113(constB129)) | (~v126(constB129)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18680,plain,
% 6.97/5.16 (v112(constB129)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18679, 18678, 18640])).
% 6.97/5.16 tff(18681,plain,
% 6.97/5.16 ((v111(constB129) | v112(constB129)) | (~v112(constB129))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18682,plain,
% 6.97/5.16 (v111(constB129) | v112(constB129)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18681, 18680])).
% 6.97/5.16 tff(18683,plain,
% 6.97/5.16 ((~(v108(constB129) <=> (v111(constB129) | v112(constB129)))) | v108(constB129) | (~(v111(constB129) | v112(constB129)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18684,plain,
% 6.97/5.16 (v108(constB129)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18683, 18682, 18638])).
% 6.97/5.16 tff(18685,plain,
% 6.97/5.16 ((~(v110(constB130) <=> v108(constB129))) | v110(constB130) | (~v108(constB129))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18686,plain,
% 6.97/5.16 (v110(constB130)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18685, 18684, 18636])).
% 6.97/5.16 tff(18687,plain,
% 6.97/5.16 ((~((~v101(constB130)) | (~v110(constB130)))) | (~v101(constB130)) | (~v110(constB130))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18688,plain,
% 6.97/5.16 (~((~v101(constB130)) | (~v110(constB130)))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18687, 18686, 18632])).
% 6.97/5.16 tff(18689,plain,
% 6.97/5.16 ((~(v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130)))))) | v100(constB130) | ((~v101(constB130)) | (~v110(constB130)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18690,plain,
% 6.97/5.16 (v100(constB130)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18689, 18688, 18604])).
% 6.97/5.16 tff(18691,plain,
% 6.97/5.16 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB130)) | (~(((~v90(constB130, 0)) <=> v129(constB130, 0)) | ((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB130)) | (~(((~v90(constB130, 0)) <=> v129(constB130, 0)) | ((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1)))))),
% 6.97/5.16 inference(rewrite,[status(thm)],[])).
% 6.97/5.16 tff(18692,plain,
% 6.97/5.16 (((~v100(constB130)) | (~(((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1)) | ((~v90(constB130, 0)) <=> v129(constB130, 0))))) <=> ((~v100(constB130)) | (~(((~v90(constB130, 0)) <=> v129(constB130, 0)) | ((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1)))))),
% 6.97/5.16 inference(rewrite,[status(thm)],[])).
% 6.97/5.16 tff(18693,plain,
% 6.97/5.16 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB130)) | (~(((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1)) | ((~v90(constB130, 0)) <=> v129(constB130, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB130)) | (~(((~v90(constB130, 0)) <=> v129(constB130, 0)) | ((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1))))))),
% 6.97/5.16 inference(monotonicity,[status(thm)],[18692])).
% 6.97/5.16 tff(18694,plain,
% 6.97/5.16 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB130)) | (~(((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1)) | ((~v90(constB130, 0)) <=> v129(constB130, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB130)) | (~(((~v90(constB130, 0)) <=> v129(constB130, 0)) | ((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1)))))),
% 6.97/5.16 inference(transitivity,[status(thm)],[18693, 18691])).
% 6.97/5.16 tff(18695,plain,
% 6.97/5.16 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB130)) | (~(((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1)) | ((~v90(constB130, 0)) <=> v129(constB130, 0)))))),
% 6.97/5.16 inference(quant_inst,[status(thm)],[])).
% 6.97/5.16 tff(18696,plain,
% 6.97/5.16 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB130)) | (~(((~v90(constB130, 0)) <=> v129(constB130, 0)) | ((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1))))),
% 6.97/5.16 inference(modus_ponens,[status(thm)],[18695, 18694])).
% 6.97/5.16 tff(18697,plain,
% 6.97/5.16 ((~v100(constB130)) | (~(((~v90(constB130, 0)) <=> v129(constB130, 0)) | ((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1))))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18696, 4794])).
% 6.97/5.16 tff(18698,plain,
% 6.97/5.16 (~(((~v90(constB130, 0)) <=> v129(constB130, 0)) | ((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1)))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18697, 18690])).
% 6.97/5.16 tff(18699,plain,
% 6.97/5.16 ((((~v90(constB130, 0)) <=> v129(constB130, 0)) | ((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1))) | (~((~v90(constB130, 2)) <=> v129(constB130, 2)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18700,plain,
% 6.97/5.16 (~((~v90(constB130, 2)) <=> v129(constB130, 2))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18699, 18698])).
% 6.97/5.16 tff(18701,plain,
% 6.97/5.16 (((~v90(constB130, 2)) <=> v129(constB130, 2)) | (~v90(constB130, 2)) | v129(constB130, 2)),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18702,plain,
% 6.97/5.16 (~v90(constB130, 2)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18701, 18700, 18600])).
% 6.97/5.16 tff(18703,plain,
% 6.97/5.16 (((~v90(constB131, 2)) <=> v90(constB130, 2)) | (~v90(constB131, 2)) | v90(constB130, 2)),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18704,plain,
% 6.97/5.16 (~v90(constB131, 2)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18703, 18702, 18555])).
% 6.97/5.16 tff(18705,plain,
% 6.97/5.16 ((((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 0)) <=> v90(constB130, 0))) | (~((~v90(constB131, 0)) <=> v90(constB130, 0)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18706,plain,
% 6.97/5.16 (~((~v90(constB131, 0)) <=> v90(constB130, 0))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18705, 18553])).
% 6.97/5.16 tff(18707,plain,
% 6.97/5.16 ((((~v129(constB130, 2)) <=> v127(constB129, 2)) | ((~v129(constB130, 1)) <=> v127(constB129, 1)) | ((~v129(constB130, 0)) <=> v127(constB129, 0))) | (~((~v129(constB130, 0)) <=> v127(constB129, 0)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18708,plain,
% 6.97/5.16 (~((~v129(constB130, 0)) <=> v127(constB129, 0))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18707, 18562])).
% 6.97/5.16 tff(18709,plain,
% 6.97/5.16 ((((~v127(constB129, 2)) <=> v130(constB129, 2)) | ((~v127(constB129, 1)) <=> v130(constB129, 1)) | ((~v127(constB129, 0)) <=> v130(constB129, 0))) | (~((~v127(constB129, 0)) <=> v130(constB129, 0)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18710,plain,
% 6.97/5.16 (~((~v127(constB129, 0)) <=> v130(constB129, 0))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18709, 18576])).
% 6.97/5.16 tff(18711,plain,
% 6.97/5.16 ((v130(constB129, 2) | (~v130(constB129, 1)) | (~v130(constB129, 0))) | v130(constB129, 0)),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18712,plain,
% 6.97/5.16 (v130(constB129, 0)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18711, 18594])).
% 6.97/5.16 tff(18713,plain,
% 6.97/5.16 (((~v127(constB129, 0)) <=> v130(constB129, 0)) | v127(constB129, 0) | (~v130(constB129, 0))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18714,plain,
% 6.97/5.16 (v127(constB129, 0)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18713, 18712, 18710])).
% 6.97/5.16 tff(18715,plain,
% 6.97/5.16 (((~v129(constB130, 0)) <=> v127(constB129, 0)) | v129(constB130, 0) | (~v127(constB129, 0))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18716,plain,
% 6.97/5.16 (v129(constB130, 0)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18715, 18714, 18708])).
% 6.97/5.16 tff(18717,plain,
% 6.97/5.16 ((((~v90(constB130, 0)) <=> v129(constB130, 0)) | ((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1))) | (~((~v90(constB130, 0)) <=> v129(constB130, 0)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18718,plain,
% 6.97/5.16 (~((~v90(constB130, 0)) <=> v129(constB130, 0))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18717, 18698])).
% 6.97/5.16 tff(18719,plain,
% 6.97/5.16 (((~v90(constB130, 0)) <=> v129(constB130, 0)) | v90(constB130, 0) | (~v129(constB130, 0))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18720,plain,
% 6.97/5.16 (v90(constB130, 0)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18719, 18718, 18716])).
% 6.97/5.16 tff(18721,plain,
% 6.97/5.16 (((~v90(constB131, 0)) <=> v90(constB130, 0)) | v90(constB131, 0) | (~v90(constB130, 0))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18722,plain,
% 6.97/5.16 (v90(constB131, 0)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18721, 18720, 18706])).
% 6.97/5.16 tff(18723,plain,
% 6.97/5.16 ((((~v90(constB131, 1)) <=> v90(constB130, 1)) | ((~v90(constB131, 2)) <=> v90(constB130, 2)) | ((~v90(constB131, 0)) <=> v90(constB130, 0))) | (~((~v90(constB131, 1)) <=> v90(constB130, 1)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18724,plain,
% 6.97/5.16 (~((~v90(constB131, 1)) <=> v90(constB130, 1))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18723, 18553])).
% 6.97/5.16 tff(18725,plain,
% 6.97/5.16 ((((~v129(constB130, 2)) <=> v127(constB129, 2)) | ((~v129(constB130, 1)) <=> v127(constB129, 1)) | ((~v129(constB130, 0)) <=> v127(constB129, 0))) | (~((~v129(constB130, 1)) <=> v127(constB129, 1)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18726,plain,
% 6.97/5.16 (~((~v129(constB130, 1)) <=> v127(constB129, 1))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18725, 18562])).
% 6.97/5.16 tff(18727,plain,
% 6.97/5.16 ((((~v127(constB129, 2)) <=> v130(constB129, 2)) | ((~v127(constB129, 1)) <=> v130(constB129, 1)) | ((~v127(constB129, 0)) <=> v130(constB129, 0))) | (~((~v127(constB129, 1)) <=> v130(constB129, 1)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18728,plain,
% 6.97/5.16 (~((~v127(constB129, 1)) <=> v130(constB129, 1))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18727, 18576])).
% 6.97/5.16 tff(18729,plain,
% 6.97/5.16 ((v130(constB129, 2) | (~v130(constB129, 1)) | (~v130(constB129, 0))) | v130(constB129, 1)),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18730,plain,
% 6.97/5.16 (v130(constB129, 1)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18729, 18594])).
% 6.97/5.16 tff(18731,plain,
% 6.97/5.16 (((~v127(constB129, 1)) <=> v130(constB129, 1)) | v127(constB129, 1) | (~v130(constB129, 1))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18732,plain,
% 6.97/5.16 (v127(constB129, 1)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18731, 18730, 18728])).
% 6.97/5.16 tff(18733,plain,
% 6.97/5.16 (((~v129(constB130, 1)) <=> v127(constB129, 1)) | v129(constB130, 1) | (~v127(constB129, 1))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18734,plain,
% 6.97/5.16 (v129(constB130, 1)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18733, 18732, 18726])).
% 6.97/5.16 tff(18735,plain,
% 6.97/5.16 ((((~v90(constB130, 0)) <=> v129(constB130, 0)) | ((~v90(constB130, 2)) <=> v129(constB130, 2)) | ((~v90(constB130, 1)) <=> v129(constB130, 1))) | (~((~v90(constB130, 1)) <=> v129(constB130, 1)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18736,plain,
% 6.97/5.16 (~((~v90(constB130, 1)) <=> v129(constB130, 1))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18735, 18698])).
% 6.97/5.16 tff(18737,plain,
% 6.97/5.16 (((~v90(constB130, 1)) <=> v129(constB130, 1)) | v90(constB130, 1) | (~v129(constB130, 1))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18738,plain,
% 6.97/5.16 (v90(constB130, 1)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18737, 18736, 18734])).
% 6.97/5.16 tff(18739,plain,
% 6.97/5.16 (((~v90(constB131, 1)) <=> v90(constB130, 1)) | v90(constB131, 1) | (~v90(constB130, 1))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18740,plain,
% 6.97/5.16 (v90(constB131, 1)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18739, 18738, 18724])).
% 6.97/5.16 tff(18741,plain,
% 6.97/5.16 ((~(v90(constB131, 2) | (~v90(constB131, 1)) | (~v90(constB131, 0)))) | v90(constB131, 2) | (~v90(constB131, 1)) | (~v90(constB131, 0))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18742,plain,
% 6.97/5.16 (~(v90(constB131, 2) | (~v90(constB131, 1)) | (~v90(constB131, 0)))),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18741, 18740, 18722, 18704])).
% 6.97/5.16 tff(18743,plain,
% 6.97/5.16 ((~(v122(constB131) <=> (~(v90(constB131, 2) | (~v90(constB131, 1)) | (~v90(constB131, 0)))))) | v122(constB131) | (v90(constB131, 2) | (~v90(constB131, 1)) | (~v90(constB131, 0)))),
% 6.97/5.16 inference(tautology,[status(thm)],[])).
% 6.97/5.16 tff(18744,plain,
% 6.97/5.16 (v122(constB131)),
% 6.97/5.16 inference(unit_resolution,[status(thm)],[18743, 18742, 18519])).
% 6.97/5.16 tff(18745,plain,
% 6.97/5.16 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB131)) | (~(v130(constB131, 1) | v130(constB131, 0) | (~v130(constB131, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB131)) | (~(v130(constB131, 1) | v130(constB131, 0) | (~v130(constB131, 2)))))),
% 6.97/5.16 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18746,plain,
% 6.97/5.17 (((~v122(constB131)) | (~(v130(constB131, 0) | v130(constB131, 1) | (~v130(constB131, 2))))) <=> ((~v122(constB131)) | (~(v130(constB131, 1) | v130(constB131, 0) | (~v130(constB131, 2)))))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18747,plain,
% 6.97/5.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB131)) | (~(v130(constB131, 0) | v130(constB131, 1) | (~v130(constB131, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB131)) | (~(v130(constB131, 1) | v130(constB131, 0) | (~v130(constB131, 2))))))),
% 6.97/5.17 inference(monotonicity,[status(thm)],[18746])).
% 6.97/5.17 tff(18748,plain,
% 6.97/5.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB131)) | (~(v130(constB131, 0) | v130(constB131, 1) | (~v130(constB131, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB131)) | (~(v130(constB131, 1) | v130(constB131, 0) | (~v130(constB131, 2)))))),
% 6.97/5.17 inference(transitivity,[status(thm)],[18747, 18745])).
% 6.97/5.17 tff(18749,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB131)) | (~(v130(constB131, 0) | v130(constB131, 1) | (~v130(constB131, 2)))))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18750,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB131)) | (~(v130(constB131, 1) | v130(constB131, 0) | (~v130(constB131, 2))))),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18749, 18748])).
% 6.97/5.17 tff(18751,plain,
% 6.97/5.17 ((~v122(constB131)) | (~(v130(constB131, 1) | v130(constB131, 0) | (~v130(constB131, 2))))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18750, 5588])).
% 6.97/5.17 tff(18752,plain,
% 6.97/5.17 (~(v130(constB131, 1) | v130(constB131, 0) | (~v130(constB131, 2)))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18751, 18744])).
% 6.97/5.17 tff(18753,plain,
% 6.97/5.17 ((v130(constB131, 1) | v130(constB131, 0) | (~v130(constB131, 2))) | v130(constB131, 2)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18754,plain,
% 6.97/5.17 (v130(constB131, 2)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18753, 18752])).
% 6.97/5.17 tff(18755,plain,
% 6.97/5.17 (((~v127(constB131, 2)) <=> v130(constB131, 2)) | v127(constB131, 2) | (~v130(constB131, 2))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18756,plain,
% 6.97/5.17 (v127(constB131, 2)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18755, 18754, 18512])).
% 6.97/5.17 tff(18757,plain,
% 6.97/5.17 (((~v129(constB132, 2)) <=> v127(constB131, 2)) | v129(constB132, 2) | (~v127(constB131, 2))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18758,plain,
% 6.97/5.17 (v129(constB132, 2)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18757, 18756, 18498])).
% 6.97/5.17 tff(18759,plain,
% 6.97/5.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18760,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18761,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132)))))),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18760, 18759])).
% 6.97/5.17 tff(18762,plain,
% 6.97/5.17 (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18761, 18492, 273])).
% 6.97/5.17 tff(18763,plain,
% 6.97/5.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18764,plain,
% 6.97/5.17 (((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132)))))) <=> ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18765,plain,
% 6.97/5.17 (((~![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) <=> (~((~v1(constB132)) | (~v102(constB132)))))))),
% 6.97/5.17 inference(monotonicity,[status(thm)],[18764])).
% 6.97/5.17 tff(18766,plain,
% 6.97/5.17 (((~![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) <=> (~((~v1(constB132)) | (~v102(constB132))))))),
% 6.97/5.17 inference(transitivity,[status(thm)],[18765, 18763])).
% 6.97/5.17 tff(18767,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132))))))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18768,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132)))))),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18767, 18766])).
% 6.97/5.17 tff(18769,plain,
% 6.97/5.17 (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18768, 18492, 293])).
% 6.97/5.17 tff(18770,plain,
% 6.97/5.17 (((~![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)))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18771,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18772,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132))),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18771, 18770])).
% 6.97/5.17 tff(18773,plain,
% 6.97/5.17 ((~v102(constB132)) <=> v104(constB132)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18772, 18492, 4609])).
% 6.97/5.17 tff(18774,plain,
% 6.97/5.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131)))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18775,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18776,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131))),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18775, 18774])).
% 6.97/5.17 tff(18777,plain,
% 6.97/5.17 (v104(constB132) <=> v1(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18776, 18492, 4623])).
% 6.97/5.17 tff(18778,plain,
% 6.97/5.17 ((~(v104(constB132) <=> v1(constB131))) | (~v104(constB132)) | v1(constB131)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18779,plain,
% 6.97/5.17 ((~(v104(constB132) <=> v1(constB131))) | (~v104(constB132))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18778, 18536])).
% 6.97/5.17 tff(18780,plain,
% 6.97/5.17 (~v104(constB132)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18779, 18777])).
% 6.97/5.17 tff(18781,plain,
% 6.97/5.17 ((~((~v102(constB132)) <=> v104(constB132))) | v102(constB132) | v104(constB132)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18782,plain,
% 6.97/5.17 (v102(constB132)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18781, 18780, 18773])).
% 6.97/5.17 tff(18783,plain,
% 6.97/5.17 (v1(constB132) <=> v1(constB132)),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18784,axiom,(v1(constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_132')).
% 6.97/5.17 tff(18785,plain,
% 6.97/5.17 (v1(constB132)),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18784, 18783])).
% 6.97/5.17 tff(18786,plain,
% 6.97/5.17 ((~((~v1(constB132)) | (~v102(constB132)))) | (~v1(constB132)) | (~v102(constB132))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18787,plain,
% 6.97/5.17 ((~((~v1(constB132)) | (~v102(constB132)))) | (~v102(constB132))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18786, 18785])).
% 6.97/5.17 tff(18788,plain,
% 6.97/5.17 (~((~v1(constB132)) | (~v102(constB132)))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18787, 18782])).
% 6.97/5.17 tff(18789,plain,
% 6.97/5.17 ((~(v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132)))))) | v101(constB132) | ((~v1(constB132)) | (~v102(constB132)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18790,plain,
% 6.97/5.17 (v101(constB132)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18789, 18788, 18769])).
% 6.97/5.17 tff(18791,plain,
% 6.97/5.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131)))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18792,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18793,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131))),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18792, 18791])).
% 6.97/5.17 tff(18794,plain,
% 6.97/5.17 (v110(constB132) <=> v108(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18793, 18492, 4650])).
% 6.97/5.17 tff(18795,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB131) <=> (v111(constB131) | v112(constB131)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18796,plain,
% 6.97/5.17 (v108(constB131) <=> (v111(constB131) | v112(constB131))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18795, 4661])).
% 6.97/5.17 tff(18797,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131)))))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18798,plain,
% 6.97/5.17 (v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131))))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18797, 4673])).
% 6.97/5.17 tff(18799,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB131) <=> (v114(constB131) | v125(constB131)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18800,plain,
% 6.97/5.17 (v113(constB131) <=> (v114(constB131) | v125(constB131))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18799, 4682])).
% 6.97/5.17 tff(18801,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB131) <=> (v115(constB131) | v124(constB131)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18802,plain,
% 6.97/5.17 (v114(constB131) <=> (v115(constB131) | v124(constB131))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18801, 4691])).
% 6.97/5.17 tff(18803,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB131) <=> (v116(constB131) | v123(constB131)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18804,plain,
% 6.97/5.17 (v115(constB131) <=> (v116(constB131) | v123(constB131))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18803, 4700])).
% 6.97/5.17 tff(18805,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB131) <=> (v117(constB131) | v122(constB131)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18806,plain,
% 6.97/5.17 (v116(constB131) <=> (v117(constB131) | v122(constB131))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18805, 4709])).
% 6.97/5.17 tff(18807,plain,
% 6.97/5.17 ((v117(constB131) | v122(constB131)) | (~v122(constB131))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18808,plain,
% 6.97/5.17 (v117(constB131) | v122(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18807, 18744])).
% 6.97/5.17 tff(18809,plain,
% 6.97/5.17 ((~(v116(constB131) <=> (v117(constB131) | v122(constB131)))) | v116(constB131) | (~(v117(constB131) | v122(constB131)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18810,plain,
% 6.97/5.17 (v116(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18809, 18808, 18806])).
% 6.97/5.17 tff(18811,plain,
% 6.97/5.17 ((v116(constB131) | v123(constB131)) | (~v116(constB131))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18812,plain,
% 6.97/5.17 (v116(constB131) | v123(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18811, 18810])).
% 6.97/5.17 tff(18813,plain,
% 6.97/5.17 ((~(v115(constB131) <=> (v116(constB131) | v123(constB131)))) | v115(constB131) | (~(v116(constB131) | v123(constB131)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18814,plain,
% 6.97/5.17 (v115(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18813, 18812, 18804])).
% 6.97/5.17 tff(18815,plain,
% 6.97/5.17 ((v115(constB131) | v124(constB131)) | (~v115(constB131))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18816,plain,
% 6.97/5.17 (v115(constB131) | v124(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18815, 18814])).
% 6.97/5.17 tff(18817,plain,
% 6.97/5.17 ((~(v114(constB131) <=> (v115(constB131) | v124(constB131)))) | v114(constB131) | (~(v115(constB131) | v124(constB131)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18818,plain,
% 6.97/5.17 (v114(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18817, 18816, 18802])).
% 6.97/5.17 tff(18819,plain,
% 6.97/5.17 ((v114(constB131) | v125(constB131)) | (~v114(constB131))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18820,plain,
% 6.97/5.17 (v114(constB131) | v125(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18819, 18818])).
% 6.97/5.17 tff(18821,plain,
% 6.97/5.17 ((~(v113(constB131) <=> (v114(constB131) | v125(constB131)))) | v113(constB131) | (~(v114(constB131) | v125(constB131)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18822,plain,
% 6.97/5.17 (v113(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18821, 18820, 18800])).
% 6.97/5.17 tff(18823,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB131)) <=> v111(constB131))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18824,plain,
% 6.97/5.17 ((~v126(constB131)) <=> v111(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18823, 4761])).
% 6.97/5.17 tff(18825,plain,
% 6.97/5.17 ((~((~v126(constB131)) <=> v111(constB131))) | v126(constB131) | v111(constB131)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18826,plain,
% 6.97/5.17 ((~((~v126(constB131)) <=> v111(constB131))) | v126(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18825, 18505])).
% 6.97/5.17 tff(18827,plain,
% 6.97/5.17 (v126(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18826, 18824])).
% 6.97/5.17 tff(18828,plain,
% 6.97/5.17 ((~((~v113(constB131)) | (~v126(constB131)))) | (~v113(constB131)) | (~v126(constB131))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18829,plain,
% 6.97/5.17 ((~((~v113(constB131)) | (~v126(constB131)))) | (~v113(constB131))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18828, 18827])).
% 6.97/5.17 tff(18830,plain,
% 6.97/5.17 (~((~v113(constB131)) | (~v126(constB131)))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18829, 18822])).
% 6.97/5.17 tff(18831,plain,
% 6.97/5.17 ((~(v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131)))))) | v112(constB131) | ((~v113(constB131)) | (~v126(constB131)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18832,plain,
% 6.97/5.17 (v112(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18831, 18830, 18798])).
% 6.97/5.17 tff(18833,plain,
% 6.97/5.17 ((v111(constB131) | v112(constB131)) | (~v112(constB131))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18834,plain,
% 6.97/5.17 (v111(constB131) | v112(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18833, 18832])).
% 6.97/5.17 tff(18835,plain,
% 6.97/5.17 ((~(v108(constB131) <=> (v111(constB131) | v112(constB131)))) | v108(constB131) | (~(v111(constB131) | v112(constB131)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18836,plain,
% 6.97/5.17 (v108(constB131)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18835, 18834, 18796])).
% 6.97/5.17 tff(18837,plain,
% 6.97/5.17 ((~(v110(constB132) <=> v108(constB131))) | v110(constB132) | (~v108(constB131))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18838,plain,
% 6.97/5.17 (v110(constB132)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18837, 18836, 18794])).
% 6.97/5.17 tff(18839,plain,
% 6.97/5.17 ((~((~v101(constB132)) | (~v110(constB132)))) | (~v101(constB132)) | (~v110(constB132))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18840,plain,
% 6.97/5.17 (~((~v101(constB132)) | (~v110(constB132)))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18839, 18838, 18790])).
% 6.97/5.17 tff(18841,plain,
% 6.97/5.17 ((~(v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132)))))) | v100(constB132) | ((~v101(constB132)) | (~v110(constB132)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18842,plain,
% 6.97/5.17 (v100(constB132)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18841, 18840, 18762])).
% 6.97/5.17 tff(18843,plain,
% 6.97/5.17 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB132)) | (~(((~v90(constB132, 2)) <=> v129(constB132, 2)) | ((~v90(constB132, 1)) <=> v129(constB132, 1)) | ((~v90(constB132, 0)) <=> v129(constB132, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB132)) | (~(((~v90(constB132, 2)) <=> v129(constB132, 2)) | ((~v90(constB132, 1)) <=> v129(constB132, 1)) | ((~v90(constB132, 0)) <=> v129(constB132, 0)))))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18844,plain,
% 6.97/5.17 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB132)) | (~(((~v90(constB132, 2)) <=> v129(constB132, 2)) | ((~v90(constB132, 1)) <=> v129(constB132, 1)) | ((~v90(constB132, 0)) <=> v129(constB132, 0)))))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18845,plain,
% 6.97/5.17 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB132)) | (~(((~v90(constB132, 2)) <=> v129(constB132, 2)) | ((~v90(constB132, 1)) <=> v129(constB132, 1)) | ((~v90(constB132, 0)) <=> v129(constB132, 0))))),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18844, 18843])).
% 6.97/5.17 tff(18846,plain,
% 6.97/5.17 ((~v100(constB132)) | (~(((~v90(constB132, 2)) <=> v129(constB132, 2)) | ((~v90(constB132, 1)) <=> v129(constB132, 1)) | ((~v90(constB132, 0)) <=> v129(constB132, 0))))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18845, 4794])).
% 6.97/5.17 tff(18847,plain,
% 6.97/5.17 (~(((~v90(constB132, 2)) <=> v129(constB132, 2)) | ((~v90(constB132, 1)) <=> v129(constB132, 1)) | ((~v90(constB132, 0)) <=> v129(constB132, 0)))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18846, 18842])).
% 6.97/5.17 tff(18848,plain,
% 6.97/5.17 ((((~v90(constB132, 2)) <=> v129(constB132, 2)) | ((~v90(constB132, 1)) <=> v129(constB132, 1)) | ((~v90(constB132, 0)) <=> v129(constB132, 0))) | (~((~v90(constB132, 2)) <=> v129(constB132, 2)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18849,plain,
% 6.97/5.17 (~((~v90(constB132, 2)) <=> v129(constB132, 2))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18848, 18847])).
% 6.97/5.17 tff(18850,plain,
% 6.97/5.17 (((~v90(constB132, 2)) <=> v129(constB132, 2)) | v90(constB132, 2) | (~v129(constB132, 2))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18851,plain,
% 6.97/5.17 (v90(constB132, 2)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18850, 18849, 18758])).
% 6.97/5.17 tff(18852,plain,
% 6.97/5.17 (((~v90(constB133, 2)) <=> v90(constB132, 2)) | v90(constB133, 2) | (~v90(constB132, 2))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18853,plain,
% 6.97/5.17 (v90(constB133, 2)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18852, 18851, 18489])).
% 6.97/5.17 tff(18854,plain,
% 6.97/5.17 ((((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 0)) <=> v90(constB132, 0))) | (~((~v90(constB133, 0)) <=> v90(constB132, 0)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18855,plain,
% 6.97/5.17 (~((~v90(constB133, 0)) <=> v90(constB132, 0))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18854, 18487])).
% 6.97/5.17 tff(18856,plain,
% 6.97/5.17 ((((~v129(constB132, 2)) <=> v127(constB131, 2)) | ((~v129(constB132, 1)) <=> v127(constB131, 1)) | ((~v129(constB132, 0)) <=> v127(constB131, 0))) | (~((~v129(constB132, 0)) <=> v127(constB131, 0)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18857,plain,
% 6.97/5.17 (~((~v129(constB132, 0)) <=> v127(constB131, 0))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18856, 18496])).
% 6.97/5.17 tff(18858,plain,
% 6.97/5.17 ((((~v127(constB131, 2)) <=> v130(constB131, 2)) | ((~v127(constB131, 1)) <=> v130(constB131, 1)) | ((~v127(constB131, 0)) <=> v130(constB131, 0))) | (~((~v127(constB131, 0)) <=> v130(constB131, 0)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18859,plain,
% 6.97/5.17 (~((~v127(constB131, 0)) <=> v130(constB131, 0))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18858, 18510])).
% 6.97/5.17 tff(18860,plain,
% 6.97/5.17 ((v130(constB131, 1) | v130(constB131, 0) | (~v130(constB131, 2))) | (~v130(constB131, 0))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18861,plain,
% 6.97/5.17 (~v130(constB131, 0)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18860, 18752])).
% 6.97/5.17 tff(18862,plain,
% 6.97/5.17 (((~v127(constB131, 0)) <=> v130(constB131, 0)) | (~v127(constB131, 0)) | v130(constB131, 0)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18863,plain,
% 6.97/5.17 (~v127(constB131, 0)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18862, 18861, 18859])).
% 6.97/5.17 tff(18864,plain,
% 6.97/5.17 (((~v129(constB132, 0)) <=> v127(constB131, 0)) | (~v129(constB132, 0)) | v127(constB131, 0)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18865,plain,
% 6.97/5.17 (~v129(constB132, 0)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18864, 18863, 18857])).
% 6.97/5.17 tff(18866,plain,
% 6.97/5.17 ((((~v90(constB132, 2)) <=> v129(constB132, 2)) | ((~v90(constB132, 1)) <=> v129(constB132, 1)) | ((~v90(constB132, 0)) <=> v129(constB132, 0))) | (~((~v90(constB132, 0)) <=> v129(constB132, 0)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18867,plain,
% 6.97/5.17 (~((~v90(constB132, 0)) <=> v129(constB132, 0))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18866, 18847])).
% 6.97/5.17 tff(18868,plain,
% 6.97/5.17 (((~v90(constB132, 0)) <=> v129(constB132, 0)) | (~v90(constB132, 0)) | v129(constB132, 0)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18869,plain,
% 6.97/5.17 (~v90(constB132, 0)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18868, 18867, 18865])).
% 6.97/5.17 tff(18870,plain,
% 6.97/5.17 (((~v90(constB133, 0)) <=> v90(constB132, 0)) | (~v90(constB133, 0)) | v90(constB132, 0)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18871,plain,
% 6.97/5.17 (~v90(constB133, 0)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18870, 18869, 18855])).
% 6.97/5.17 tff(18872,plain,
% 6.97/5.17 ((((~v90(constB133, 1)) <=> v90(constB132, 1)) | ((~v90(constB133, 2)) <=> v90(constB132, 2)) | ((~v90(constB133, 0)) <=> v90(constB132, 0))) | (~((~v90(constB133, 1)) <=> v90(constB132, 1)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18873,plain,
% 6.97/5.17 (~((~v90(constB133, 1)) <=> v90(constB132, 1))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18872, 18487])).
% 6.97/5.17 tff(18874,plain,
% 6.97/5.17 ((((~v129(constB132, 2)) <=> v127(constB131, 2)) | ((~v129(constB132, 1)) <=> v127(constB131, 1)) | ((~v129(constB132, 0)) <=> v127(constB131, 0))) | (~((~v129(constB132, 1)) <=> v127(constB131, 1)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18875,plain,
% 6.97/5.17 (~((~v129(constB132, 1)) <=> v127(constB131, 1))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18874, 18496])).
% 6.97/5.17 tff(18876,plain,
% 6.97/5.17 ((((~v127(constB131, 2)) <=> v130(constB131, 2)) | ((~v127(constB131, 1)) <=> v130(constB131, 1)) | ((~v127(constB131, 0)) <=> v130(constB131, 0))) | (~((~v127(constB131, 1)) <=> v130(constB131, 1)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18877,plain,
% 6.97/5.17 (~((~v127(constB131, 1)) <=> v130(constB131, 1))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18876, 18510])).
% 6.97/5.17 tff(18878,plain,
% 6.97/5.17 ((v130(constB131, 1) | v130(constB131, 0) | (~v130(constB131, 2))) | (~v130(constB131, 1))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18879,plain,
% 6.97/5.17 (~v130(constB131, 1)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18878, 18752])).
% 6.97/5.17 tff(18880,plain,
% 6.97/5.17 (((~v127(constB131, 1)) <=> v130(constB131, 1)) | (~v127(constB131, 1)) | v130(constB131, 1)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18881,plain,
% 6.97/5.17 (~v127(constB131, 1)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18880, 18879, 18877])).
% 6.97/5.17 tff(18882,plain,
% 6.97/5.17 (((~v129(constB132, 1)) <=> v127(constB131, 1)) | (~v129(constB132, 1)) | v127(constB131, 1)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18883,plain,
% 6.97/5.17 (~v129(constB132, 1)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18882, 18881, 18875])).
% 6.97/5.17 tff(18884,plain,
% 6.97/5.17 ((((~v90(constB132, 2)) <=> v129(constB132, 2)) | ((~v90(constB132, 1)) <=> v129(constB132, 1)) | ((~v90(constB132, 0)) <=> v129(constB132, 0))) | (~((~v90(constB132, 1)) <=> v129(constB132, 1)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18885,plain,
% 6.97/5.17 (~((~v90(constB132, 1)) <=> v129(constB132, 1))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18884, 18847])).
% 6.97/5.17 tff(18886,plain,
% 6.97/5.17 (((~v90(constB132, 1)) <=> v129(constB132, 1)) | (~v90(constB132, 1)) | v129(constB132, 1)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18887,plain,
% 6.97/5.17 (~v90(constB132, 1)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18886, 18885, 18883])).
% 6.97/5.17 tff(18888,plain,
% 6.97/5.17 (((~v90(constB133, 1)) <=> v90(constB132, 1)) | (~v90(constB133, 1)) | v90(constB132, 1)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18889,plain,
% 6.97/5.17 (~v90(constB133, 1)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18888, 18887, 18873])).
% 6.97/5.17 tff(18890,plain,
% 6.97/5.17 ((~(v90(constB133, 1) | v90(constB133, 0) | (~v90(constB133, 2)))) | v90(constB133, 1) | v90(constB133, 0) | (~v90(constB133, 2))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18891,plain,
% 6.97/5.17 (~(v90(constB133, 1) | v90(constB133, 0) | (~v90(constB133, 2)))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18890, 18889, 18871, 18853])).
% 6.97/5.17 tff(18892,plain,
% 6.97/5.17 ((~(v123(constB133) <=> (~(v90(constB133, 1) | v90(constB133, 0) | (~v90(constB133, 2)))))) | v123(constB133) | (v90(constB133, 1) | v90(constB133, 0) | (~v90(constB133, 2)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18893,plain,
% 6.97/5.17 (v123(constB133)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18892, 18891, 18453])).
% 6.97/5.17 tff(18894,plain,
% 6.97/5.17 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB133)) | (~(v130(constB133, 0) | (~v130(constB133, 2)) | (~v130(constB133, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB133)) | (~(v130(constB133, 0) | (~v130(constB133, 2)) | (~v130(constB133, 1)))))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18895,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB133)) | (~(v130(constB133, 0) | (~v130(constB133, 2)) | (~v130(constB133, 1)))))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18896,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB133)) | (~(v130(constB133, 0) | (~v130(constB133, 2)) | (~v130(constB133, 1))))),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18895, 18894])).
% 6.97/5.17 tff(18897,plain,
% 6.97/5.17 ((~v123(constB133)) | (~(v130(constB133, 0) | (~v130(constB133, 2)) | (~v130(constB133, 1))))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18896, 4861])).
% 6.97/5.17 tff(18898,plain,
% 6.97/5.17 (~(v130(constB133, 0) | (~v130(constB133, 2)) | (~v130(constB133, 1)))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18897, 18893])).
% 6.97/5.17 tff(18899,plain,
% 6.97/5.17 ((v130(constB133, 0) | (~v130(constB133, 2)) | (~v130(constB133, 1))) | (~v130(constB133, 0))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18900,plain,
% 6.97/5.17 (~v130(constB133, 0)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18899, 18898])).
% 6.97/5.17 tff(18901,plain,
% 6.97/5.17 (((~v127(constB133, 0)) <=> v130(constB133, 0)) | (~v127(constB133, 0)) | v130(constB133, 0)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18902,plain,
% 6.97/5.17 (~v127(constB133, 0)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18901, 18900, 18446])).
% 6.97/5.17 tff(18903,plain,
% 6.97/5.17 (((~v129(constB134, 0)) <=> v127(constB133, 0)) | (~v129(constB134, 0)) | v127(constB133, 0)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18904,plain,
% 6.97/5.17 (~v129(constB134, 0)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18903, 18902, 18432])).
% 6.97/5.17 tff(18905,plain,
% 6.97/5.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18906,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18907,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134)))))),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18906, 18905])).
% 6.97/5.17 tff(18908,plain,
% 6.97/5.17 (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18907, 18426, 273])).
% 6.97/5.17 tff(18909,plain,
% 6.97/5.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18910,plain,
% 6.97/5.17 (((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134)))))) <=> ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18911,plain,
% 6.97/5.17 (((~![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) <=> (~((~v1(constB134)) | (~v102(constB134)))))))),
% 6.97/5.17 inference(monotonicity,[status(thm)],[18910])).
% 6.97/5.17 tff(18912,plain,
% 6.97/5.17 (((~![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) <=> (~((~v1(constB134)) | (~v102(constB134))))))),
% 6.97/5.17 inference(transitivity,[status(thm)],[18911, 18909])).
% 6.97/5.17 tff(18913,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134))))))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18914,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134)))))),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18913, 18912])).
% 6.97/5.17 tff(18915,plain,
% 6.97/5.17 (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18914, 18426, 293])).
% 6.97/5.17 tff(18916,plain,
% 6.97/5.17 (((~![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)))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18917,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18918,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134))),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18917, 18916])).
% 6.97/5.17 tff(18919,plain,
% 6.97/5.17 ((~v102(constB134)) <=> v104(constB134)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18918, 18426, 4609])).
% 6.97/5.17 tff(18920,plain,
% 6.97/5.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133)))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18921,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18922,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133))),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18921, 18920])).
% 6.97/5.17 tff(18923,plain,
% 6.97/5.17 (v104(constB134) <=> v1(constB133)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18922, 18426, 4623])).
% 6.97/5.17 tff(18924,plain,
% 6.97/5.17 ((~(v104(constB134) <=> v1(constB133))) | (~v104(constB134)) | v1(constB133)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18925,plain,
% 6.97/5.17 ((~(v104(constB134) <=> v1(constB133))) | (~v104(constB134))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18924, 18470])).
% 6.97/5.17 tff(18926,plain,
% 6.97/5.17 (~v104(constB134)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18925, 18923])).
% 6.97/5.17 tff(18927,plain,
% 6.97/5.17 ((~((~v102(constB134)) <=> v104(constB134))) | v102(constB134) | v104(constB134)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18928,plain,
% 6.97/5.17 (v102(constB134)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18927, 18926, 18919])).
% 6.97/5.17 tff(18929,plain,
% 6.97/5.17 (v1(constB134) <=> v1(constB134)),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18930,axiom,(v1(constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_134')).
% 6.97/5.17 tff(18931,plain,
% 6.97/5.17 (v1(constB134)),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18930, 18929])).
% 6.97/5.17 tff(18932,plain,
% 6.97/5.17 ((~((~v1(constB134)) | (~v102(constB134)))) | (~v1(constB134)) | (~v102(constB134))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18933,plain,
% 6.97/5.17 ((~((~v1(constB134)) | (~v102(constB134)))) | (~v102(constB134))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18932, 18931])).
% 6.97/5.17 tff(18934,plain,
% 6.97/5.17 (~((~v1(constB134)) | (~v102(constB134)))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18933, 18928])).
% 6.97/5.17 tff(18935,plain,
% 6.97/5.17 ((~(v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134)))))) | v101(constB134) | ((~v1(constB134)) | (~v102(constB134)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18936,plain,
% 6.97/5.17 (v101(constB134)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18935, 18934, 18915])).
% 6.97/5.17 tff(18937,plain,
% 6.97/5.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133)))),
% 6.97/5.17 inference(rewrite,[status(thm)],[])).
% 6.97/5.17 tff(18938,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18939,plain,
% 6.97/5.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133))),
% 6.97/5.17 inference(modus_ponens,[status(thm)],[18938, 18937])).
% 6.97/5.17 tff(18940,plain,
% 6.97/5.17 (v110(constB134) <=> v108(constB133)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18939, 18426, 4650])).
% 6.97/5.17 tff(18941,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB133) <=> (v111(constB133) | v112(constB133)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18942,plain,
% 6.97/5.17 (v108(constB133) <=> (v111(constB133) | v112(constB133))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18941, 4661])).
% 6.97/5.17 tff(18943,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133)))))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18944,plain,
% 6.97/5.17 (v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133))))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18943, 4673])).
% 6.97/5.17 tff(18945,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB133) <=> (v114(constB133) | v125(constB133)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18946,plain,
% 6.97/5.17 (v113(constB133) <=> (v114(constB133) | v125(constB133))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18945, 4682])).
% 6.97/5.17 tff(18947,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB133) <=> (v115(constB133) | v124(constB133)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18948,plain,
% 6.97/5.17 (v114(constB133) <=> (v115(constB133) | v124(constB133))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18947, 4691])).
% 6.97/5.17 tff(18949,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB133) <=> (v116(constB133) | v123(constB133)))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18950,plain,
% 6.97/5.17 (v115(constB133) <=> (v116(constB133) | v123(constB133))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18949, 4700])).
% 6.97/5.17 tff(18951,plain,
% 6.97/5.17 ((v116(constB133) | v123(constB133)) | (~v123(constB133))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18952,plain,
% 6.97/5.17 (v116(constB133) | v123(constB133)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18951, 18893])).
% 6.97/5.17 tff(18953,plain,
% 6.97/5.17 ((~(v115(constB133) <=> (v116(constB133) | v123(constB133)))) | v115(constB133) | (~(v116(constB133) | v123(constB133)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18954,plain,
% 6.97/5.17 (v115(constB133)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18953, 18952, 18950])).
% 6.97/5.17 tff(18955,plain,
% 6.97/5.17 ((v115(constB133) | v124(constB133)) | (~v115(constB133))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18956,plain,
% 6.97/5.17 (v115(constB133) | v124(constB133)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18955, 18954])).
% 6.97/5.17 tff(18957,plain,
% 6.97/5.17 ((~(v114(constB133) <=> (v115(constB133) | v124(constB133)))) | v114(constB133) | (~(v115(constB133) | v124(constB133)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18958,plain,
% 6.97/5.17 (v114(constB133)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18957, 18956, 18948])).
% 6.97/5.17 tff(18959,plain,
% 6.97/5.17 ((v114(constB133) | v125(constB133)) | (~v114(constB133))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18960,plain,
% 6.97/5.17 (v114(constB133) | v125(constB133)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18959, 18958])).
% 6.97/5.17 tff(18961,plain,
% 6.97/5.17 ((~(v113(constB133) <=> (v114(constB133) | v125(constB133)))) | v113(constB133) | (~(v114(constB133) | v125(constB133)))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18962,plain,
% 6.97/5.17 (v113(constB133)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18961, 18960, 18946])).
% 6.97/5.17 tff(18963,plain,
% 6.97/5.17 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB133)) <=> v111(constB133))),
% 6.97/5.17 inference(quant_inst,[status(thm)],[])).
% 6.97/5.17 tff(18964,plain,
% 6.97/5.17 ((~v126(constB133)) <=> v111(constB133)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18963, 4761])).
% 6.97/5.17 tff(18965,plain,
% 6.97/5.17 ((~((~v126(constB133)) <=> v111(constB133))) | v126(constB133) | v111(constB133)),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18966,plain,
% 6.97/5.17 ((~((~v126(constB133)) <=> v111(constB133))) | v126(constB133)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18965, 18439])).
% 6.97/5.17 tff(18967,plain,
% 6.97/5.17 (v126(constB133)),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18966, 18964])).
% 6.97/5.17 tff(18968,plain,
% 6.97/5.17 ((~((~v113(constB133)) | (~v126(constB133)))) | (~v113(constB133)) | (~v126(constB133))),
% 6.97/5.17 inference(tautology,[status(thm)],[])).
% 6.97/5.17 tff(18969,plain,
% 6.97/5.17 ((~((~v113(constB133)) | (~v126(constB133)))) | (~v113(constB133))),
% 6.97/5.17 inference(unit_resolution,[status(thm)],[18968, 18967])).
% 6.97/5.17 tff(18970,plain,
% 6.97/5.17 (~((~v113(constB133)) | (~v126(constB133)))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[18969, 18962])).
% 6.99/5.18 tff(18971,plain,
% 6.99/5.18 ((~(v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133)))))) | v112(constB133) | ((~v113(constB133)) | (~v126(constB133)))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(18972,plain,
% 6.99/5.18 (v112(constB133)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[18971, 18970, 18944])).
% 6.99/5.18 tff(18973,plain,
% 6.99/5.18 ((v111(constB133) | v112(constB133)) | (~v112(constB133))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(18974,plain,
% 6.99/5.18 (v111(constB133) | v112(constB133)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[18973, 18972])).
% 6.99/5.18 tff(18975,plain,
% 6.99/5.18 ((~(v108(constB133) <=> (v111(constB133) | v112(constB133)))) | v108(constB133) | (~(v111(constB133) | v112(constB133)))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(18976,plain,
% 6.99/5.18 (v108(constB133)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[18975, 18974, 18942])).
% 6.99/5.18 tff(18977,plain,
% 6.99/5.18 ((~(v110(constB134) <=> v108(constB133))) | v110(constB134) | (~v108(constB133))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(18978,plain,
% 6.99/5.18 (v110(constB134)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[18977, 18976, 18940])).
% 6.99/5.18 tff(18979,plain,
% 6.99/5.18 ((~((~v101(constB134)) | (~v110(constB134)))) | (~v101(constB134)) | (~v110(constB134))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(18980,plain,
% 6.99/5.18 (~((~v101(constB134)) | (~v110(constB134)))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[18979, 18978, 18936])).
% 6.99/5.18 tff(18981,plain,
% 6.99/5.18 ((~(v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134)))))) | v100(constB134) | ((~v101(constB134)) | (~v110(constB134)))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(18982,plain,
% 6.99/5.18 (v100(constB134)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[18981, 18980, 18908])).
% 6.99/5.18 tff(18983,plain,
% 6.99/5.18 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB134)) | (~(((~v90(constB134, 0)) <=> v129(constB134, 0)) | ((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB134)) | (~(((~v90(constB134, 0)) <=> v129(constB134, 0)) | ((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1)))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(18984,plain,
% 6.99/5.18 (((~v100(constB134)) | (~(((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1)) | ((~v90(constB134, 0)) <=> v129(constB134, 0))))) <=> ((~v100(constB134)) | (~(((~v90(constB134, 0)) <=> v129(constB134, 0)) | ((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1)))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(18985,plain,
% 6.99/5.18 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB134)) | (~(((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1)) | ((~v90(constB134, 0)) <=> v129(constB134, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB134)) | (~(((~v90(constB134, 0)) <=> v129(constB134, 0)) | ((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1))))))),
% 6.99/5.18 inference(monotonicity,[status(thm)],[18984])).
% 6.99/5.18 tff(18986,plain,
% 6.99/5.18 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB134)) | (~(((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1)) | ((~v90(constB134, 0)) <=> v129(constB134, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB134)) | (~(((~v90(constB134, 0)) <=> v129(constB134, 0)) | ((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1)))))),
% 6.99/5.18 inference(transitivity,[status(thm)],[18985, 18983])).
% 6.99/5.18 tff(18987,plain,
% 6.99/5.18 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB134)) | (~(((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1)) | ((~v90(constB134, 0)) <=> v129(constB134, 0)))))),
% 6.99/5.18 inference(quant_inst,[status(thm)],[])).
% 6.99/5.18 tff(18988,plain,
% 6.99/5.18 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB134)) | (~(((~v90(constB134, 0)) <=> v129(constB134, 0)) | ((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1))))),
% 6.99/5.18 inference(modus_ponens,[status(thm)],[18987, 18986])).
% 6.99/5.18 tff(18989,plain,
% 6.99/5.18 ((~v100(constB134)) | (~(((~v90(constB134, 0)) <=> v129(constB134, 0)) | ((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1))))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[18988, 4794])).
% 6.99/5.18 tff(18990,plain,
% 6.99/5.18 (~(((~v90(constB134, 0)) <=> v129(constB134, 0)) | ((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1)))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[18989, 18982])).
% 6.99/5.18 tff(18991,plain,
% 6.99/5.18 ((((~v90(constB134, 0)) <=> v129(constB134, 0)) | ((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1))) | (~((~v90(constB134, 0)) <=> v129(constB134, 0)))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(18992,plain,
% 6.99/5.18 (~((~v90(constB134, 0)) <=> v129(constB134, 0))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[18991, 18990])).
% 6.99/5.18 tff(18993,plain,
% 6.99/5.18 (((~v90(constB134, 0)) <=> v129(constB134, 0)) | (~v90(constB134, 0)) | v129(constB134, 0)),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(18994,plain,
% 6.99/5.18 (~v90(constB134, 0)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[18993, 18992, 18904])).
% 6.99/5.18 tff(18995,plain,
% 6.99/5.18 (((~v90(constB135, 0)) <=> v90(constB134, 0)) | (~v90(constB135, 0)) | v90(constB134, 0)),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(18996,plain,
% 6.99/5.18 (~v90(constB135, 0)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[18995, 18994, 18423])).
% 6.99/5.18 tff(18997,plain,
% 6.99/5.18 ((v90(constB135, 1) | v90(constB135, 2) | (~v90(constB135, 0))) | v90(constB135, 0)),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(18998,plain,
% 6.99/5.18 (v90(constB135, 1) | v90(constB135, 2) | (~v90(constB135, 0))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[18997, 18996])).
% 6.99/5.18 tff(18999,plain,
% 6.99/5.18 ((~(v120(constB135) <=> (~(v90(constB135, 1) | v90(constB135, 2) | (~v90(constB135, 0)))))) | (~v120(constB135)) | (~(v90(constB135, 1) | v90(constB135, 2) | (~v90(constB135, 0))))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19000,plain,
% 6.99/5.18 (~v120(constB135)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[18999, 18998, 18387])).
% 6.99/5.18 tff(19001,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB135) <=> (~(v90(constB135, 1) | (~v90(constB135, 2)) | (~v90(constB135, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB135) <=> (~(v90(constB135, 1) | (~v90(constB135, 2)) | (~v90(constB135, 0))))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(19002,plain,
% 6.99/5.18 ((v124(constB135) <=> (~(v90(constB135, 1) | (~v90(constB135, 0)) | (~v90(constB135, 2))))) <=> (v124(constB135) <=> (~(v90(constB135, 1) | (~v90(constB135, 2)) | (~v90(constB135, 0)))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(19003,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB135) <=> (~(v90(constB135, 1) | (~v90(constB135, 0)) | (~v90(constB135, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB135) <=> (~(v90(constB135, 1) | (~v90(constB135, 2)) | (~v90(constB135, 0))))))),
% 6.99/5.18 inference(monotonicity,[status(thm)],[19002])).
% 6.99/5.18 tff(19004,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB135) <=> (~(v90(constB135, 1) | (~v90(constB135, 0)) | (~v90(constB135, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB135) <=> (~(v90(constB135, 1) | (~v90(constB135, 2)) | (~v90(constB135, 0))))))),
% 6.99/5.18 inference(transitivity,[status(thm)],[19003, 19001])).
% 6.99/5.18 tff(19005,plain,
% 6.99/5.18 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB135) <=> (~(v90(constB135, 1) | (~v90(constB135, 0)) | (~v90(constB135, 2)))))),
% 6.99/5.18 inference(quant_inst,[status(thm)],[])).
% 6.99/5.18 tff(19006,plain,
% 6.99/5.18 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB135) <=> (~(v90(constB135, 1) | (~v90(constB135, 2)) | (~v90(constB135, 0)))))),
% 6.99/5.18 inference(modus_ponens,[status(thm)],[19005, 19004])).
% 6.99/5.18 tff(19007,plain,
% 6.99/5.18 (v124(constB135) <=> (~(v90(constB135, 1) | (~v90(constB135, 2)) | (~v90(constB135, 0))))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19006, 4978])).
% 6.99/5.18 tff(19008,plain,
% 6.99/5.18 ((v90(constB135, 1) | (~v90(constB135, 2)) | (~v90(constB135, 0))) | v90(constB135, 0)),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19009,plain,
% 6.99/5.18 (v90(constB135, 1) | (~v90(constB135, 2)) | (~v90(constB135, 0))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19008, 18996])).
% 6.99/5.18 tff(19010,plain,
% 6.99/5.18 ((~(v124(constB135) <=> (~(v90(constB135, 1) | (~v90(constB135, 2)) | (~v90(constB135, 0)))))) | (~v124(constB135)) | (~(v90(constB135, 1) | (~v90(constB135, 2)) | (~v90(constB135, 0))))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19011,plain,
% 6.99/5.18 (~v124(constB135)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19010, 19009, 19007])).
% 6.99/5.18 tff(19012,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB135) <=> (~(v90(constB135, 1) | v90(constB135, 0) | (~v90(constB135, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB135) <=> (~(v90(constB135, 1) | v90(constB135, 0) | (~v90(constB135, 2))))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(19013,plain,
% 6.99/5.18 ((v123(constB135) <=> (~(v90(constB135, 0) | v90(constB135, 1) | (~v90(constB135, 2))))) <=> (v123(constB135) <=> (~(v90(constB135, 1) | v90(constB135, 0) | (~v90(constB135, 2)))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(19014,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB135) <=> (~(v90(constB135, 0) | v90(constB135, 1) | (~v90(constB135, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB135) <=> (~(v90(constB135, 1) | v90(constB135, 0) | (~v90(constB135, 2))))))),
% 6.99/5.18 inference(monotonicity,[status(thm)],[19013])).
% 6.99/5.18 tff(19015,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB135) <=> (~(v90(constB135, 0) | v90(constB135, 1) | (~v90(constB135, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB135) <=> (~(v90(constB135, 1) | v90(constB135, 0) | (~v90(constB135, 2))))))),
% 6.99/5.18 inference(transitivity,[status(thm)],[19014, 19012])).
% 6.99/5.18 tff(19016,plain,
% 6.99/5.18 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB135) <=> (~(v90(constB135, 0) | v90(constB135, 1) | (~v90(constB135, 2)))))),
% 6.99/5.18 inference(quant_inst,[status(thm)],[])).
% 6.99/5.18 tff(19017,plain,
% 6.99/5.18 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB135) <=> (~(v90(constB135, 1) | v90(constB135, 0) | (~v90(constB135, 2)))))),
% 6.99/5.18 inference(modus_ponens,[status(thm)],[19016, 19015])).
% 6.99/5.18 tff(19018,plain,
% 6.99/5.18 (v123(constB135) <=> (~(v90(constB135, 1) | v90(constB135, 0) | (~v90(constB135, 2))))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19017, 565])).
% 6.99/5.18 tff(19019,plain,
% 6.99/5.18 ((((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 0)) <=> v90(constB134, 0))) | (~((~v90(constB135, 1)) <=> v90(constB134, 1)))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19020,plain,
% 6.99/5.18 (~((~v90(constB135, 1)) <=> v90(constB134, 1))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19019, 18421])).
% 6.99/5.18 tff(19021,plain,
% 6.99/5.18 ((((~v129(constB134, 2)) <=> v127(constB133, 2)) | ((~v129(constB134, 1)) <=> v127(constB133, 1)) | ((~v129(constB134, 0)) <=> v127(constB133, 0))) | (~((~v129(constB134, 1)) <=> v127(constB133, 1)))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19022,plain,
% 6.99/5.18 (~((~v129(constB134, 1)) <=> v127(constB133, 1))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19021, 18430])).
% 6.99/5.18 tff(19023,plain,
% 6.99/5.18 ((((~v127(constB133, 2)) <=> v130(constB133, 2)) | ((~v127(constB133, 1)) <=> v130(constB133, 1)) | ((~v127(constB133, 0)) <=> v130(constB133, 0))) | (~((~v127(constB133, 1)) <=> v130(constB133, 1)))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19024,plain,
% 6.99/5.18 (~((~v127(constB133, 1)) <=> v130(constB133, 1))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19023, 18444])).
% 6.99/5.18 tff(19025,plain,
% 6.99/5.18 ((v130(constB133, 0) | (~v130(constB133, 2)) | (~v130(constB133, 1))) | v130(constB133, 1)),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19026,plain,
% 6.99/5.18 (v130(constB133, 1)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19025, 18898])).
% 6.99/5.18 tff(19027,plain,
% 6.99/5.18 (((~v127(constB133, 1)) <=> v130(constB133, 1)) | v127(constB133, 1) | (~v130(constB133, 1))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19028,plain,
% 6.99/5.18 (v127(constB133, 1)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19027, 19026, 19024])).
% 6.99/5.18 tff(19029,plain,
% 6.99/5.18 (((~v129(constB134, 1)) <=> v127(constB133, 1)) | v129(constB134, 1) | (~v127(constB133, 1))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19030,plain,
% 6.99/5.18 (v129(constB134, 1)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19029, 19028, 19022])).
% 6.99/5.18 tff(19031,plain,
% 6.99/5.18 ((((~v90(constB134, 0)) <=> v129(constB134, 0)) | ((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1))) | (~((~v90(constB134, 1)) <=> v129(constB134, 1)))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19032,plain,
% 6.99/5.18 (~((~v90(constB134, 1)) <=> v129(constB134, 1))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19031, 18990])).
% 6.99/5.18 tff(19033,plain,
% 6.99/5.18 (((~v90(constB134, 1)) <=> v129(constB134, 1)) | v90(constB134, 1) | (~v129(constB134, 1))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19034,plain,
% 6.99/5.18 (v90(constB134, 1)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19033, 19032, 19030])).
% 6.99/5.18 tff(19035,plain,
% 6.99/5.18 (((~v90(constB135, 1)) <=> v90(constB134, 1)) | v90(constB135, 1) | (~v90(constB134, 1))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19036,plain,
% 6.99/5.18 (v90(constB135, 1)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19035, 19034, 19020])).
% 6.99/5.18 tff(19037,plain,
% 6.99/5.18 ((v90(constB135, 1) | v90(constB135, 0) | (~v90(constB135, 2))) | (~v90(constB135, 1))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19038,plain,
% 6.99/5.18 (v90(constB135, 1) | v90(constB135, 0) | (~v90(constB135, 2))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19037, 19036])).
% 6.99/5.18 tff(19039,plain,
% 6.99/5.18 ((~(v123(constB135) <=> (~(v90(constB135, 1) | v90(constB135, 0) | (~v90(constB135, 2)))))) | (~v123(constB135)) | (~(v90(constB135, 1) | v90(constB135, 0) | (~v90(constB135, 2))))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19040,plain,
% 6.99/5.18 (~v123(constB135)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19039, 19038, 19018])).
% 6.99/5.18 tff(19041,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB135) <=> (~(v90(constB135, 2) | (~v90(constB135, 1)) | (~v90(constB135, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB135) <=> (~(v90(constB135, 2) | (~v90(constB135, 1)) | (~v90(constB135, 0))))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(19042,plain,
% 6.99/5.18 ((v122(constB135) <=> (~(v90(constB135, 2) | (~v90(constB135, 0)) | (~v90(constB135, 1))))) <=> (v122(constB135) <=> (~(v90(constB135, 2) | (~v90(constB135, 1)) | (~v90(constB135, 0)))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(19043,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB135) <=> (~(v90(constB135, 2) | (~v90(constB135, 0)) | (~v90(constB135, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB135) <=> (~(v90(constB135, 2) | (~v90(constB135, 1)) | (~v90(constB135, 0))))))),
% 6.99/5.18 inference(monotonicity,[status(thm)],[19042])).
% 6.99/5.18 tff(19044,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB135) <=> (~(v90(constB135, 2) | (~v90(constB135, 0)) | (~v90(constB135, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB135) <=> (~(v90(constB135, 2) | (~v90(constB135, 1)) | (~v90(constB135, 0))))))),
% 6.99/5.18 inference(transitivity,[status(thm)],[19043, 19041])).
% 6.99/5.18 tff(19045,plain,
% 6.99/5.18 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB135) <=> (~(v90(constB135, 2) | (~v90(constB135, 0)) | (~v90(constB135, 1)))))),
% 6.99/5.18 inference(quant_inst,[status(thm)],[])).
% 6.99/5.18 tff(19046,plain,
% 6.99/5.18 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB135) <=> (~(v90(constB135, 2) | (~v90(constB135, 1)) | (~v90(constB135, 0)))))),
% 6.99/5.18 inference(modus_ponens,[status(thm)],[19045, 19044])).
% 6.99/5.18 tff(19047,plain,
% 6.99/5.18 (v122(constB135) <=> (~(v90(constB135, 2) | (~v90(constB135, 1)) | (~v90(constB135, 0))))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19046, 644])).
% 6.99/5.18 tff(19048,plain,
% 6.99/5.18 ((v90(constB135, 2) | (~v90(constB135, 1)) | (~v90(constB135, 0))) | v90(constB135, 0)),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19049,plain,
% 6.99/5.18 (v90(constB135, 2) | (~v90(constB135, 1)) | (~v90(constB135, 0))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19048, 18996])).
% 6.99/5.18 tff(19050,plain,
% 6.99/5.18 ((~(v122(constB135) <=> (~(v90(constB135, 2) | (~v90(constB135, 1)) | (~v90(constB135, 0)))))) | (~v122(constB135)) | (~(v90(constB135, 2) | (~v90(constB135, 1)) | (~v90(constB135, 0))))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19051,plain,
% 6.99/5.18 (~v122(constB135)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19050, 19049, 19047])).
% 6.99/5.18 tff(19052,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB135) <=> (~(v90(constB135, 2) | v90(constB135, 0) | (~v90(constB135, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB135) <=> (~(v90(constB135, 2) | v90(constB135, 0) | (~v90(constB135, 1))))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(19053,plain,
% 6.99/5.18 ((v121(constB135) <=> (~(v90(constB135, 0) | v90(constB135, 2) | (~v90(constB135, 1))))) <=> (v121(constB135) <=> (~(v90(constB135, 2) | v90(constB135, 0) | (~v90(constB135, 1)))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(19054,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB135) <=> (~(v90(constB135, 0) | v90(constB135, 2) | (~v90(constB135, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB135) <=> (~(v90(constB135, 2) | v90(constB135, 0) | (~v90(constB135, 1))))))),
% 6.99/5.18 inference(monotonicity,[status(thm)],[19053])).
% 6.99/5.18 tff(19055,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB135) <=> (~(v90(constB135, 0) | v90(constB135, 2) | (~v90(constB135, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB135) <=> (~(v90(constB135, 2) | v90(constB135, 0) | (~v90(constB135, 1))))))),
% 6.99/5.18 inference(transitivity,[status(thm)],[19054, 19052])).
% 6.99/5.18 tff(19056,plain,
% 6.99/5.18 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB135) <=> (~(v90(constB135, 0) | v90(constB135, 2) | (~v90(constB135, 1)))))),
% 6.99/5.18 inference(quant_inst,[status(thm)],[])).
% 6.99/5.18 tff(19057,plain,
% 6.99/5.18 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB135) <=> (~(v90(constB135, 2) | v90(constB135, 0) | (~v90(constB135, 1)))))),
% 6.99/5.18 inference(modus_ponens,[status(thm)],[19056, 19055])).
% 6.99/5.18 tff(19058,plain,
% 6.99/5.18 (v121(constB135) <=> (~(v90(constB135, 2) | v90(constB135, 0) | (~v90(constB135, 1))))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19057, 723])).
% 6.99/5.18 tff(19059,plain,
% 6.99/5.18 ((((~v90(constB135, 1)) <=> v90(constB134, 1)) | ((~v90(constB135, 2)) <=> v90(constB134, 2)) | ((~v90(constB135, 0)) <=> v90(constB134, 0))) | (~((~v90(constB135, 2)) <=> v90(constB134, 2)))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19060,plain,
% 6.99/5.18 (~((~v90(constB135, 2)) <=> v90(constB134, 2))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19059, 18421])).
% 6.99/5.18 tff(19061,plain,
% 6.99/5.18 ((((~v129(constB134, 2)) <=> v127(constB133, 2)) | ((~v129(constB134, 1)) <=> v127(constB133, 1)) | ((~v129(constB134, 0)) <=> v127(constB133, 0))) | (~((~v129(constB134, 2)) <=> v127(constB133, 2)))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19062,plain,
% 6.99/5.18 (~((~v129(constB134, 2)) <=> v127(constB133, 2))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19061, 18430])).
% 6.99/5.18 tff(19063,plain,
% 6.99/5.18 ((((~v127(constB133, 2)) <=> v130(constB133, 2)) | ((~v127(constB133, 1)) <=> v130(constB133, 1)) | ((~v127(constB133, 0)) <=> v130(constB133, 0))) | (~((~v127(constB133, 2)) <=> v130(constB133, 2)))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19064,plain,
% 6.99/5.18 (~((~v127(constB133, 2)) <=> v130(constB133, 2))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19063, 18444])).
% 6.99/5.18 tff(19065,plain,
% 6.99/5.18 ((v130(constB133, 0) | (~v130(constB133, 2)) | (~v130(constB133, 1))) | v130(constB133, 2)),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19066,plain,
% 6.99/5.18 (v130(constB133, 2)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19065, 18898])).
% 6.99/5.18 tff(19067,plain,
% 6.99/5.18 (((~v127(constB133, 2)) <=> v130(constB133, 2)) | v127(constB133, 2) | (~v130(constB133, 2))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19068,plain,
% 6.99/5.18 (v127(constB133, 2)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19067, 19066, 19064])).
% 6.99/5.18 tff(19069,plain,
% 6.99/5.18 (((~v129(constB134, 2)) <=> v127(constB133, 2)) | v129(constB134, 2) | (~v127(constB133, 2))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19070,plain,
% 6.99/5.18 (v129(constB134, 2)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19069, 19068, 19062])).
% 6.99/5.18 tff(19071,plain,
% 6.99/5.18 ((((~v90(constB134, 0)) <=> v129(constB134, 0)) | ((~v90(constB134, 2)) <=> v129(constB134, 2)) | ((~v90(constB134, 1)) <=> v129(constB134, 1))) | (~((~v90(constB134, 2)) <=> v129(constB134, 2)))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19072,plain,
% 6.99/5.18 (~((~v90(constB134, 2)) <=> v129(constB134, 2))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19071, 18990])).
% 6.99/5.18 tff(19073,plain,
% 6.99/5.18 (((~v90(constB134, 2)) <=> v129(constB134, 2)) | v90(constB134, 2) | (~v129(constB134, 2))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19074,plain,
% 6.99/5.18 (v90(constB134, 2)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19073, 19072, 19070])).
% 6.99/5.18 tff(19075,plain,
% 6.99/5.18 (((~v90(constB135, 2)) <=> v90(constB134, 2)) | v90(constB135, 2) | (~v90(constB134, 2))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19076,plain,
% 6.99/5.18 (v90(constB135, 2)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19075, 19074, 19060])).
% 6.99/5.18 tff(19077,plain,
% 6.99/5.18 ((v90(constB135, 2) | v90(constB135, 0) | (~v90(constB135, 1))) | (~v90(constB135, 2))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19078,plain,
% 6.99/5.18 (v90(constB135, 2) | v90(constB135, 0) | (~v90(constB135, 1))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19077, 19076])).
% 6.99/5.18 tff(19079,plain,
% 6.99/5.18 ((~(v121(constB135) <=> (~(v90(constB135, 2) | v90(constB135, 0) | (~v90(constB135, 1)))))) | (~v121(constB135)) | (~(v90(constB135, 2) | v90(constB135, 0) | (~v90(constB135, 1))))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19080,plain,
% 6.99/5.18 (~v121(constB135)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19079, 19078, 19058])).
% 6.99/5.18 tff(19081,plain,
% 6.99/5.18 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB135) <=> (~(v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2))))),
% 6.99/5.18 inference(quant_inst,[status(thm)],[])).
% 6.99/5.18 tff(19082,plain,
% 6.99/5.18 (v119(constB135) <=> (~(v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2)))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19081, 491])).
% 6.99/5.18 tff(19083,plain,
% 6.99/5.18 ((v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2)) | (~v90(constB135, 2))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19084,plain,
% 6.99/5.18 (v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19083, 19076])).
% 6.99/5.18 tff(19085,plain,
% 6.99/5.18 ((~(v119(constB135) <=> (~(v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2))))) | (~v119(constB135)) | (~(v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2)))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19086,plain,
% 6.99/5.18 (~v119(constB135)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19085, 19084, 19082])).
% 6.99/5.18 tff(19087,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0)))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(19088,plain,
% 6.99/5.18 ((v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~(v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0))))) <=> (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0)))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(19089,plain,
% 6.99/5.18 ((~(v130(constB135, 1) | v130(constB135, 2) | (~v130(constB135, 0)))) <=> (~(v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(19090,plain,
% 6.99/5.18 ((v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~(v130(constB135, 1) | v130(constB135, 2) | (~v130(constB135, 0))))) <=> (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~(v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0)))))),
% 6.99/5.18 inference(monotonicity,[status(thm)],[19089])).
% 6.99/5.18 tff(19091,plain,
% 6.99/5.18 ((v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~(v130(constB135, 1) | v130(constB135, 2) | (~v130(constB135, 0))))) <=> (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0)))))),
% 6.99/5.18 inference(transitivity,[status(thm)],[19090, 19088])).
% 6.99/5.18 tff(19092,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~(v130(constB135, 1) | v130(constB135, 2) | (~v130(constB135, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0))))))),
% 6.99/5.18 inference(monotonicity,[status(thm)],[19091])).
% 6.99/5.18 tff(19093,plain,
% 6.99/5.18 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~(v130(constB135, 1) | v130(constB135, 2) | (~v130(constB135, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0)))))),
% 6.99/5.18 inference(transitivity,[status(thm)],[19092, 19087])).
% 6.99/5.18 tff(19094,plain,
% 6.99/5.18 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~(v130(constB135, 1) | v130(constB135, 2) | (~v130(constB135, 0)))))),
% 6.99/5.18 inference(quant_inst,[status(thm)],[])).
% 6.99/5.18 tff(19095,plain,
% 6.99/5.18 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0))))),
% 6.99/5.18 inference(modus_ponens,[status(thm)],[19094, 19093])).
% 6.99/5.18 tff(19096,plain,
% 6.99/5.18 (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0))))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19095, 5059])).
% 6.99/5.18 tff(19097,plain,
% 6.99/5.18 (~(v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0)))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19096, 19086, 19080, 19051, 19040, 19011, 19000])).
% 6.99/5.18 tff(19098,plain,
% 6.99/5.18 ((v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0))) | (~v130(constB135, 2))),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19099,plain,
% 6.99/5.18 (~v130(constB135, 2)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19098, 19097])).
% 6.99/5.18 tff(19100,plain,
% 6.99/5.18 (((~v127(constB135, 2)) <=> v130(constB135, 2)) | (~v127(constB135, 2)) | v130(constB135, 2)),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19101,plain,
% 6.99/5.18 (~v127(constB135, 2)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19100, 19099, 18385])).
% 6.99/5.18 tff(19102,plain,
% 6.99/5.18 (((~v129(constB136, 2)) <=> v127(constB135, 2)) | (~v129(constB136, 2)) | v127(constB135, 2)),
% 6.99/5.18 inference(tautology,[status(thm)],[])).
% 6.99/5.18 tff(19103,plain,
% 6.99/5.18 (~v129(constB136, 2)),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19102, 19101, 18371])).
% 6.99/5.18 tff(19104,plain,
% 6.99/5.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(19105,plain,
% 6.99/5.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))))),
% 6.99/5.18 inference(quant_inst,[status(thm)],[])).
% 6.99/5.18 tff(19106,plain,
% 6.99/5.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136)))))),
% 6.99/5.18 inference(modus_ponens,[status(thm)],[19105, 19104])).
% 6.99/5.18 tff(19107,plain,
% 6.99/5.18 (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))),
% 6.99/5.18 inference(unit_resolution,[status(thm)],[19106, 18365, 273])).
% 6.99/5.18 tff(19108,plain,
% 6.99/5.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(19109,plain,
% 6.99/5.18 (((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136)))))) <=> ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))),
% 6.99/5.18 inference(rewrite,[status(thm)],[])).
% 6.99/5.18 tff(19110,plain,
% 6.99/5.18 (((~![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) <=> (~((~v1(constB136)) | (~v102(constB136)))))))),
% 6.99/5.18 inference(monotonicity,[status(thm)],[19109])).
% 6.99/5.18 tff(19111,plain,
% 6.99/5.18 (((~![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) <=> (~((~v1(constB136)) | (~v102(constB136))))))),
% 6.99/5.18 inference(transitivity,[status(thm)],[19110, 19108])).
% 6.99/5.18 tff(19112,plain,
% 6.99/5.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136))))))),
% 6.99/5.18 inference(quant_inst,[status(thm)],[])).
% 6.99/5.18 tff(19113,plain,
% 6.99/5.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136)))))),
% 6.99/5.19 inference(modus_ponens,[status(thm)],[19112, 19111])).
% 6.99/5.19 tff(19114,plain,
% 6.99/5.19 (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19113, 18365, 293])).
% 6.99/5.19 tff(19115,plain,
% 6.99/5.19 (((~![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)))),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19116,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19117,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136))),
% 6.99/5.19 inference(modus_ponens,[status(thm)],[19116, 19115])).
% 6.99/5.19 tff(19118,plain,
% 6.99/5.19 ((~v102(constB136)) <=> v104(constB136)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19117, 18365, 4609])).
% 6.99/5.19 tff(19119,plain,
% 6.99/5.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135)))),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19120,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19121,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135))),
% 6.99/5.19 inference(modus_ponens,[status(thm)],[19120, 19119])).
% 6.99/5.19 tff(19122,plain,
% 6.99/5.19 (v104(constB136) <=> v1(constB135)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19121, 18365, 4623])).
% 6.99/5.19 tff(19123,plain,
% 6.99/5.19 ((~(v104(constB136) <=> v1(constB135))) | (~v104(constB136)) | v1(constB135)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19124,plain,
% 6.99/5.19 ((~(v104(constB136) <=> v1(constB135))) | (~v104(constB136))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19123, 18404])).
% 6.99/5.19 tff(19125,plain,
% 6.99/5.19 (~v104(constB136)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19124, 19122])).
% 6.99/5.19 tff(19126,plain,
% 6.99/5.19 ((~((~v102(constB136)) <=> v104(constB136))) | v102(constB136) | v104(constB136)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19127,plain,
% 6.99/5.19 (v102(constB136)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19126, 19125, 19118])).
% 6.99/5.19 tff(19128,plain,
% 6.99/5.19 (v1(constB136) <=> v1(constB136)),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19129,axiom,(v1(constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_136')).
% 6.99/5.19 tff(19130,plain,
% 6.99/5.19 (v1(constB136)),
% 6.99/5.19 inference(modus_ponens,[status(thm)],[19129, 19128])).
% 6.99/5.19 tff(19131,plain,
% 6.99/5.19 ((~((~v1(constB136)) | (~v102(constB136)))) | (~v1(constB136)) | (~v102(constB136))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19132,plain,
% 6.99/5.19 ((~((~v1(constB136)) | (~v102(constB136)))) | (~v102(constB136))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19131, 19130])).
% 6.99/5.19 tff(19133,plain,
% 6.99/5.19 (~((~v1(constB136)) | (~v102(constB136)))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19132, 19127])).
% 6.99/5.19 tff(19134,plain,
% 6.99/5.19 ((~(v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136)))))) | v101(constB136) | ((~v1(constB136)) | (~v102(constB136)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19135,plain,
% 6.99/5.19 (v101(constB136)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19134, 19133, 19114])).
% 6.99/5.19 tff(19136,plain,
% 6.99/5.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135)))),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19137,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19138,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135))),
% 6.99/5.19 inference(modus_ponens,[status(thm)],[19137, 19136])).
% 6.99/5.19 tff(19139,plain,
% 6.99/5.19 (v110(constB136) <=> v108(constB135)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19138, 18365, 4650])).
% 6.99/5.19 tff(19140,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB135) <=> (v111(constB135) | v112(constB135)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19141,plain,
% 6.99/5.19 (v108(constB135) <=> (v111(constB135) | v112(constB135))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19140, 4661])).
% 6.99/5.19 tff(19142,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135)))))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19143,plain,
% 6.99/5.19 (v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135))))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19142, 4673])).
% 6.99/5.19 tff(19144,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB135) <=> (v114(constB135) | v125(constB135)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19145,plain,
% 6.99/5.19 (v113(constB135) <=> (v114(constB135) | v125(constB135))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19144, 4682])).
% 6.99/5.19 tff(19146,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB135) <=> (~(v90(constB135, 0) | (~v90(constB135, 1)) | (~v90(constB135, 2)))))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19147,plain,
% 6.99/5.19 (v125(constB135) <=> (~(v90(constB135, 0) | (~v90(constB135, 1)) | (~v90(constB135, 2))))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19146, 5131])).
% 6.99/5.19 tff(19148,plain,
% 6.99/5.19 ((~(v90(constB135, 0) | (~v90(constB135, 1)) | (~v90(constB135, 2)))) | v90(constB135, 0) | (~v90(constB135, 1)) | (~v90(constB135, 2))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19149,plain,
% 6.99/5.19 (~(v90(constB135, 0) | (~v90(constB135, 1)) | (~v90(constB135, 2)))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19148, 19036, 18996, 19076])).
% 6.99/5.19 tff(19150,plain,
% 6.99/5.19 ((~(v125(constB135) <=> (~(v90(constB135, 0) | (~v90(constB135, 1)) | (~v90(constB135, 2)))))) | v125(constB135) | (v90(constB135, 0) | (~v90(constB135, 1)) | (~v90(constB135, 2)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19151,plain,
% 6.99/5.19 (v125(constB135)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19150, 19149, 19147])).
% 6.99/5.19 tff(19152,plain,
% 6.99/5.19 ((v114(constB135) | v125(constB135)) | (~v125(constB135))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19153,plain,
% 6.99/5.19 (v114(constB135) | v125(constB135)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19152, 19151])).
% 6.99/5.19 tff(19154,plain,
% 6.99/5.19 ((~(v113(constB135) <=> (v114(constB135) | v125(constB135)))) | v113(constB135) | (~(v114(constB135) | v125(constB135)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19155,plain,
% 6.99/5.19 (v113(constB135)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19154, 19153, 19145])).
% 6.99/5.19 tff(19156,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB135)) <=> v111(constB135))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19157,plain,
% 6.99/5.19 ((~v126(constB135)) <=> v111(constB135)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19156, 4761])).
% 6.99/5.19 tff(19158,plain,
% 6.99/5.19 ((~((~v126(constB135)) <=> v111(constB135))) | v126(constB135) | v111(constB135)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19159,plain,
% 6.99/5.19 ((~((~v126(constB135)) <=> v111(constB135))) | v126(constB135)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19158, 18378])).
% 6.99/5.19 tff(19160,plain,
% 6.99/5.19 (v126(constB135)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19159, 19157])).
% 6.99/5.19 tff(19161,plain,
% 6.99/5.19 ((~((~v113(constB135)) | (~v126(constB135)))) | (~v113(constB135)) | (~v126(constB135))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19162,plain,
% 6.99/5.19 ((~((~v113(constB135)) | (~v126(constB135)))) | (~v113(constB135))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19161, 19160])).
% 6.99/5.19 tff(19163,plain,
% 6.99/5.19 (~((~v113(constB135)) | (~v126(constB135)))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19162, 19155])).
% 6.99/5.19 tff(19164,plain,
% 6.99/5.19 ((~(v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135)))))) | v112(constB135) | ((~v113(constB135)) | (~v126(constB135)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19165,plain,
% 6.99/5.19 (v112(constB135)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19164, 19163, 19143])).
% 6.99/5.19 tff(19166,plain,
% 6.99/5.19 ((v111(constB135) | v112(constB135)) | (~v112(constB135))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19167,plain,
% 6.99/5.19 (v111(constB135) | v112(constB135)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19166, 19165])).
% 6.99/5.19 tff(19168,plain,
% 6.99/5.19 ((~(v108(constB135) <=> (v111(constB135) | v112(constB135)))) | v108(constB135) | (~(v111(constB135) | v112(constB135)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19169,plain,
% 6.99/5.19 (v108(constB135)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19168, 19167, 19141])).
% 6.99/5.19 tff(19170,plain,
% 6.99/5.19 ((~(v110(constB136) <=> v108(constB135))) | v110(constB136) | (~v108(constB135))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19171,plain,
% 6.99/5.19 (v110(constB136)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19170, 19169, 19139])).
% 6.99/5.19 tff(19172,plain,
% 6.99/5.19 ((~((~v101(constB136)) | (~v110(constB136)))) | (~v101(constB136)) | (~v110(constB136))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19173,plain,
% 6.99/5.19 (~((~v101(constB136)) | (~v110(constB136)))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19172, 19171, 19135])).
% 6.99/5.19 tff(19174,plain,
% 6.99/5.19 ((~(v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136)))))) | v100(constB136) | ((~v101(constB136)) | (~v110(constB136)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19175,plain,
% 6.99/5.19 (v100(constB136)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19174, 19173, 19107])).
% 6.99/5.19 tff(19176,plain,
% 6.99/5.19 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB136)) | (~(((~v90(constB136, 2)) <=> v129(constB136, 2)) | ((~v90(constB136, 1)) <=> v129(constB136, 1)) | ((~v90(constB136, 0)) <=> v129(constB136, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB136)) | (~(((~v90(constB136, 2)) <=> v129(constB136, 2)) | ((~v90(constB136, 1)) <=> v129(constB136, 1)) | ((~v90(constB136, 0)) <=> v129(constB136, 0)))))),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19177,plain,
% 6.99/5.19 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB136)) | (~(((~v90(constB136, 2)) <=> v129(constB136, 2)) | ((~v90(constB136, 1)) <=> v129(constB136, 1)) | ((~v90(constB136, 0)) <=> v129(constB136, 0)))))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19178,plain,
% 6.99/5.19 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB136)) | (~(((~v90(constB136, 2)) <=> v129(constB136, 2)) | ((~v90(constB136, 1)) <=> v129(constB136, 1)) | ((~v90(constB136, 0)) <=> v129(constB136, 0))))),
% 6.99/5.19 inference(modus_ponens,[status(thm)],[19177, 19176])).
% 6.99/5.19 tff(19179,plain,
% 6.99/5.19 ((~v100(constB136)) | (~(((~v90(constB136, 2)) <=> v129(constB136, 2)) | ((~v90(constB136, 1)) <=> v129(constB136, 1)) | ((~v90(constB136, 0)) <=> v129(constB136, 0))))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19178, 4794])).
% 6.99/5.19 tff(19180,plain,
% 6.99/5.19 (~(((~v90(constB136, 2)) <=> v129(constB136, 2)) | ((~v90(constB136, 1)) <=> v129(constB136, 1)) | ((~v90(constB136, 0)) <=> v129(constB136, 0)))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19179, 19175])).
% 6.99/5.19 tff(19181,plain,
% 6.99/5.19 ((((~v90(constB136, 2)) <=> v129(constB136, 2)) | ((~v90(constB136, 1)) <=> v129(constB136, 1)) | ((~v90(constB136, 0)) <=> v129(constB136, 0))) | (~((~v90(constB136, 2)) <=> v129(constB136, 2)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19182,plain,
% 6.99/5.19 (~((~v90(constB136, 2)) <=> v129(constB136, 2))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19181, 19180])).
% 6.99/5.19 tff(19183,plain,
% 6.99/5.19 (((~v90(constB136, 2)) <=> v129(constB136, 2)) | (~v90(constB136, 2)) | v129(constB136, 2)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19184,plain,
% 6.99/5.19 (~v90(constB136, 2)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19183, 19182, 19103])).
% 6.99/5.19 tff(19185,plain,
% 6.99/5.19 (((~v90(constB137, 2)) <=> v90(constB136, 2)) | (~v90(constB137, 2)) | v90(constB136, 2)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19186,plain,
% 6.99/5.19 (~v90(constB137, 2)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19185, 19184, 18362])).
% 6.99/5.19 tff(19187,plain,
% 6.99/5.19 ((((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 0)) <=> v90(constB136, 0))) | (~((~v90(constB137, 0)) <=> v90(constB136, 0)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19188,plain,
% 6.99/5.19 (~((~v90(constB137, 0)) <=> v90(constB136, 0))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19187, 18360])).
% 6.99/5.19 tff(19189,plain,
% 6.99/5.19 ((((~v129(constB136, 2)) <=> v127(constB135, 2)) | ((~v129(constB136, 1)) <=> v127(constB135, 1)) | ((~v129(constB136, 0)) <=> v127(constB135, 0))) | (~((~v129(constB136, 0)) <=> v127(constB135, 0)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19190,plain,
% 6.99/5.19 (~((~v129(constB136, 0)) <=> v127(constB135, 0))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19189, 18369])).
% 6.99/5.19 tff(19191,plain,
% 6.99/5.19 ((((~v127(constB135, 2)) <=> v130(constB135, 2)) | ((~v127(constB135, 1)) <=> v130(constB135, 1)) | ((~v127(constB135, 0)) <=> v130(constB135, 0))) | (~((~v127(constB135, 0)) <=> v130(constB135, 0)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19192,plain,
% 6.99/5.19 (~((~v127(constB135, 0)) <=> v130(constB135, 0))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19191, 18383])).
% 6.99/5.19 tff(19193,plain,
% 6.99/5.19 ((v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0))) | v130(constB135, 0)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19194,plain,
% 6.99/5.19 (v130(constB135, 0)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19193, 19097])).
% 6.99/5.19 tff(19195,plain,
% 6.99/5.19 (((~v127(constB135, 0)) <=> v130(constB135, 0)) | v127(constB135, 0) | (~v130(constB135, 0))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19196,plain,
% 6.99/5.19 (v127(constB135, 0)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19195, 19194, 19192])).
% 6.99/5.19 tff(19197,plain,
% 6.99/5.19 (((~v129(constB136, 0)) <=> v127(constB135, 0)) | v129(constB136, 0) | (~v127(constB135, 0))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19198,plain,
% 6.99/5.19 (v129(constB136, 0)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19197, 19196, 19190])).
% 6.99/5.19 tff(19199,plain,
% 6.99/5.19 ((((~v90(constB136, 2)) <=> v129(constB136, 2)) | ((~v90(constB136, 1)) <=> v129(constB136, 1)) | ((~v90(constB136, 0)) <=> v129(constB136, 0))) | (~((~v90(constB136, 0)) <=> v129(constB136, 0)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19200,plain,
% 6.99/5.19 (~((~v90(constB136, 0)) <=> v129(constB136, 0))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19199, 19180])).
% 6.99/5.19 tff(19201,plain,
% 6.99/5.19 (((~v90(constB136, 0)) <=> v129(constB136, 0)) | v90(constB136, 0) | (~v129(constB136, 0))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19202,plain,
% 6.99/5.19 (v90(constB136, 0)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19201, 19200, 19198])).
% 6.99/5.19 tff(19203,plain,
% 6.99/5.19 (((~v90(constB137, 0)) <=> v90(constB136, 0)) | v90(constB137, 0) | (~v90(constB136, 0))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19204,plain,
% 6.99/5.19 (v90(constB137, 0)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19203, 19202, 19188])).
% 6.99/5.19 tff(19205,plain,
% 6.99/5.19 ((((~v90(constB137, 1)) <=> v90(constB136, 1)) | ((~v90(constB137, 2)) <=> v90(constB136, 2)) | ((~v90(constB137, 0)) <=> v90(constB136, 0))) | (~((~v90(constB137, 1)) <=> v90(constB136, 1)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19206,plain,
% 6.99/5.19 (~((~v90(constB137, 1)) <=> v90(constB136, 1))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19205, 18360])).
% 6.99/5.19 tff(19207,plain,
% 6.99/5.19 ((((~v129(constB136, 2)) <=> v127(constB135, 2)) | ((~v129(constB136, 1)) <=> v127(constB135, 1)) | ((~v129(constB136, 0)) <=> v127(constB135, 0))) | (~((~v129(constB136, 1)) <=> v127(constB135, 1)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19208,plain,
% 6.99/5.19 (~((~v129(constB136, 1)) <=> v127(constB135, 1))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19207, 18369])).
% 6.99/5.19 tff(19209,plain,
% 6.99/5.19 ((((~v127(constB135, 2)) <=> v130(constB135, 2)) | ((~v127(constB135, 1)) <=> v130(constB135, 1)) | ((~v127(constB135, 0)) <=> v130(constB135, 0))) | (~((~v127(constB135, 1)) <=> v130(constB135, 1)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19210,plain,
% 6.99/5.19 (~((~v127(constB135, 1)) <=> v130(constB135, 1))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19209, 18383])).
% 6.99/5.19 tff(19211,plain,
% 6.99/5.19 ((v130(constB135, 2) | v130(constB135, 1) | (~v130(constB135, 0))) | (~v130(constB135, 1))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19212,plain,
% 6.99/5.19 (~v130(constB135, 1)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19211, 19097])).
% 6.99/5.19 tff(19213,plain,
% 6.99/5.19 (((~v127(constB135, 1)) <=> v130(constB135, 1)) | (~v127(constB135, 1)) | v130(constB135, 1)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19214,plain,
% 6.99/5.19 (~v127(constB135, 1)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19213, 19212, 19210])).
% 6.99/5.19 tff(19215,plain,
% 6.99/5.19 (((~v129(constB136, 1)) <=> v127(constB135, 1)) | (~v129(constB136, 1)) | v127(constB135, 1)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19216,plain,
% 6.99/5.19 (~v129(constB136, 1)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19215, 19214, 19208])).
% 6.99/5.19 tff(19217,plain,
% 6.99/5.19 ((((~v90(constB136, 2)) <=> v129(constB136, 2)) | ((~v90(constB136, 1)) <=> v129(constB136, 1)) | ((~v90(constB136, 0)) <=> v129(constB136, 0))) | (~((~v90(constB136, 1)) <=> v129(constB136, 1)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19218,plain,
% 6.99/5.19 (~((~v90(constB136, 1)) <=> v129(constB136, 1))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19217, 19180])).
% 6.99/5.19 tff(19219,plain,
% 6.99/5.19 (((~v90(constB136, 1)) <=> v129(constB136, 1)) | (~v90(constB136, 1)) | v129(constB136, 1)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19220,plain,
% 6.99/5.19 (~v90(constB136, 1)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19219, 19218, 19216])).
% 6.99/5.19 tff(19221,plain,
% 6.99/5.19 (((~v90(constB137, 1)) <=> v90(constB136, 1)) | (~v90(constB137, 1)) | v90(constB136, 1)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19222,plain,
% 6.99/5.19 (~v90(constB137, 1)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19221, 19220, 19206])).
% 6.99/5.19 tff(19223,plain,
% 6.99/5.19 ((~(v90(constB137, 1) | v90(constB137, 2) | (~v90(constB137, 0)))) | v90(constB137, 1) | v90(constB137, 2) | (~v90(constB137, 0))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19224,plain,
% 6.99/5.19 (~(v90(constB137, 1) | v90(constB137, 2) | (~v90(constB137, 0)))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19223, 19222, 19204, 19186])).
% 6.99/5.19 tff(19225,plain,
% 6.99/5.19 ((~(v120(constB137) <=> (~(v90(constB137, 1) | v90(constB137, 2) | (~v90(constB137, 0)))))) | v120(constB137) | (v90(constB137, 1) | v90(constB137, 2) | (~v90(constB137, 0)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19226,plain,
% 6.99/5.19 (v120(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19225, 19224, 18326])).
% 6.99/5.19 tff(19227,plain,
% 6.99/5.19 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB137)) | (~(v130(constB137, 2) | v130(constB137, 0) | (~v130(constB137, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB137)) | (~(v130(constB137, 2) | v130(constB137, 0) | (~v130(constB137, 1)))))),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19228,plain,
% 6.99/5.19 (((~v120(constB137)) | (~(v130(constB137, 0) | v130(constB137, 2) | (~v130(constB137, 1))))) <=> ((~v120(constB137)) | (~(v130(constB137, 2) | v130(constB137, 0) | (~v130(constB137, 1)))))),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19229,plain,
% 6.99/5.19 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB137)) | (~(v130(constB137, 0) | v130(constB137, 2) | (~v130(constB137, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB137)) | (~(v130(constB137, 2) | v130(constB137, 0) | (~v130(constB137, 1))))))),
% 6.99/5.19 inference(monotonicity,[status(thm)],[19228])).
% 6.99/5.19 tff(19230,plain,
% 6.99/5.19 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB137)) | (~(v130(constB137, 0) | v130(constB137, 2) | (~v130(constB137, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB137)) | (~(v130(constB137, 2) | v130(constB137, 0) | (~v130(constB137, 1)))))),
% 6.99/5.19 inference(transitivity,[status(thm)],[19229, 19227])).
% 6.99/5.19 tff(19231,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB137)) | (~(v130(constB137, 0) | v130(constB137, 2) | (~v130(constB137, 1)))))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19232,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB137)) | (~(v130(constB137, 2) | v130(constB137, 0) | (~v130(constB137, 1))))),
% 6.99/5.19 inference(modus_ponens,[status(thm)],[19231, 19230])).
% 6.99/5.19 tff(19233,plain,
% 6.99/5.19 ((~v120(constB137)) | (~(v130(constB137, 2) | v130(constB137, 0) | (~v130(constB137, 1))))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19232, 5246])).
% 6.99/5.19 tff(19234,plain,
% 6.99/5.19 (~(v130(constB137, 2) | v130(constB137, 0) | (~v130(constB137, 1)))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19233, 19226])).
% 6.99/5.19 tff(19235,plain,
% 6.99/5.19 ((v130(constB137, 2) | v130(constB137, 0) | (~v130(constB137, 1))) | (~v130(constB137, 2))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19236,plain,
% 6.99/5.19 (~v130(constB137, 2)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19235, 19234])).
% 6.99/5.19 tff(19237,plain,
% 6.99/5.19 (((~v127(constB137, 2)) <=> v130(constB137, 2)) | (~v127(constB137, 2)) | v130(constB137, 2)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19238,plain,
% 6.99/5.19 (~v127(constB137, 2)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19237, 19236, 18324])).
% 6.99/5.19 tff(19239,plain,
% 6.99/5.19 (((~v129(constB138, 2)) <=> v127(constB137, 2)) | (~v129(constB138, 2)) | v127(constB137, 2)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19240,plain,
% 6.99/5.19 (~v129(constB138, 2)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19239, 19238, 18310])).
% 6.99/5.19 tff(19241,plain,
% 6.99/5.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))))),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19242,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19243,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138)))))),
% 6.99/5.19 inference(modus_ponens,[status(thm)],[19242, 19241])).
% 6.99/5.19 tff(19244,plain,
% 6.99/5.19 (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19243, 18304, 273])).
% 6.99/5.19 tff(19245,plain,
% 6.99/5.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19246,plain,
% 6.99/5.19 (((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138)))))) <=> ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19247,plain,
% 6.99/5.19 (((~![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) <=> (~((~v1(constB138)) | (~v102(constB138)))))))),
% 6.99/5.19 inference(monotonicity,[status(thm)],[19246])).
% 6.99/5.19 tff(19248,plain,
% 6.99/5.19 (((~![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) <=> (~((~v1(constB138)) | (~v102(constB138))))))),
% 6.99/5.19 inference(transitivity,[status(thm)],[19247, 19245])).
% 6.99/5.19 tff(19249,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138))))))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19250,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138)))))),
% 6.99/5.19 inference(modus_ponens,[status(thm)],[19249, 19248])).
% 6.99/5.19 tff(19251,plain,
% 6.99/5.19 (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19250, 18304, 293])).
% 6.99/5.19 tff(19252,plain,
% 6.99/5.19 (((~![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)))),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19253,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19254,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138))),
% 6.99/5.19 inference(modus_ponens,[status(thm)],[19253, 19252])).
% 6.99/5.19 tff(19255,plain,
% 6.99/5.19 ((~v102(constB138)) <=> v104(constB138)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19254, 18304, 4609])).
% 6.99/5.19 tff(19256,plain,
% 6.99/5.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137)))),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19257,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19258,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137))),
% 6.99/5.19 inference(modus_ponens,[status(thm)],[19257, 19256])).
% 6.99/5.19 tff(19259,plain,
% 6.99/5.19 (v104(constB138) <=> v1(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19258, 18304, 4623])).
% 6.99/5.19 tff(19260,plain,
% 6.99/5.19 ((~(v104(constB138) <=> v1(constB137))) | (~v104(constB138)) | v1(constB137)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19261,plain,
% 6.99/5.19 ((~(v104(constB138) <=> v1(constB137))) | (~v104(constB138))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19260, 18343])).
% 6.99/5.19 tff(19262,plain,
% 6.99/5.19 (~v104(constB138)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19261, 19259])).
% 6.99/5.19 tff(19263,plain,
% 6.99/5.19 ((~((~v102(constB138)) <=> v104(constB138))) | v102(constB138) | v104(constB138)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19264,plain,
% 6.99/5.19 (v102(constB138)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19263, 19262, 19255])).
% 6.99/5.19 tff(19265,plain,
% 6.99/5.19 (v1(constB138) <=> v1(constB138)),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19266,axiom,(v1(constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_138')).
% 6.99/5.19 tff(19267,plain,
% 6.99/5.19 (v1(constB138)),
% 6.99/5.19 inference(modus_ponens,[status(thm)],[19266, 19265])).
% 6.99/5.19 tff(19268,plain,
% 6.99/5.19 ((~((~v1(constB138)) | (~v102(constB138)))) | (~v1(constB138)) | (~v102(constB138))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19269,plain,
% 6.99/5.19 ((~((~v1(constB138)) | (~v102(constB138)))) | (~v102(constB138))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19268, 19267])).
% 6.99/5.19 tff(19270,plain,
% 6.99/5.19 (~((~v1(constB138)) | (~v102(constB138)))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19269, 19264])).
% 6.99/5.19 tff(19271,plain,
% 6.99/5.19 ((~(v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138)))))) | v101(constB138) | ((~v1(constB138)) | (~v102(constB138)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19272,plain,
% 6.99/5.19 (v101(constB138)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19271, 19270, 19251])).
% 6.99/5.19 tff(19273,plain,
% 6.99/5.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137)))),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19274,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19275,plain,
% 6.99/5.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137))),
% 6.99/5.19 inference(modus_ponens,[status(thm)],[19274, 19273])).
% 6.99/5.19 tff(19276,plain,
% 6.99/5.19 (v110(constB138) <=> v108(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19275, 18304, 4650])).
% 6.99/5.19 tff(19277,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB137) <=> (v111(constB137) | v112(constB137)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19278,plain,
% 6.99/5.19 (v108(constB137) <=> (v111(constB137) | v112(constB137))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19277, 4661])).
% 6.99/5.19 tff(19279,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137)))))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19280,plain,
% 6.99/5.19 (v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137))))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19279, 4673])).
% 6.99/5.19 tff(19281,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB137) <=> (v114(constB137) | v125(constB137)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19282,plain,
% 6.99/5.19 (v113(constB137) <=> (v114(constB137) | v125(constB137))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19281, 4682])).
% 6.99/5.19 tff(19283,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB137) <=> (v115(constB137) | v124(constB137)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19284,plain,
% 6.99/5.19 (v114(constB137) <=> (v115(constB137) | v124(constB137))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19283, 4691])).
% 6.99/5.19 tff(19285,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB137) <=> (v116(constB137) | v123(constB137)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19286,plain,
% 6.99/5.19 (v115(constB137) <=> (v116(constB137) | v123(constB137))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19285, 4700])).
% 6.99/5.19 tff(19287,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB137) <=> (v117(constB137) | v122(constB137)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19288,plain,
% 6.99/5.19 (v116(constB137) <=> (v117(constB137) | v122(constB137))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19287, 4709])).
% 6.99/5.19 tff(19289,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB137) <=> (v118(constB137) | v121(constB137)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19290,plain,
% 6.99/5.19 (v117(constB137) <=> (v118(constB137) | v121(constB137))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19289, 4718])).
% 6.99/5.19 tff(19291,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB137) <=> (v119(constB137) | v120(constB137)))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19292,plain,
% 6.99/5.19 (v118(constB137) <=> (v119(constB137) | v120(constB137))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19291, 4727])).
% 6.99/5.19 tff(19293,plain,
% 6.99/5.19 ((v119(constB137) | v120(constB137)) | (~v120(constB137))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19294,plain,
% 6.99/5.19 (v119(constB137) | v120(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19293, 19226])).
% 6.99/5.19 tff(19295,plain,
% 6.99/5.19 ((~(v118(constB137) <=> (v119(constB137) | v120(constB137)))) | v118(constB137) | (~(v119(constB137) | v120(constB137)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19296,plain,
% 6.99/5.19 (v118(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19295, 19294, 19292])).
% 6.99/5.19 tff(19297,plain,
% 6.99/5.19 ((v118(constB137) | v121(constB137)) | (~v118(constB137))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19298,plain,
% 6.99/5.19 (v118(constB137) | v121(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19297, 19296])).
% 6.99/5.19 tff(19299,plain,
% 6.99/5.19 ((~(v117(constB137) <=> (v118(constB137) | v121(constB137)))) | v117(constB137) | (~(v118(constB137) | v121(constB137)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19300,plain,
% 6.99/5.19 (v117(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19299, 19298, 19290])).
% 6.99/5.19 tff(19301,plain,
% 6.99/5.19 ((v117(constB137) | v122(constB137)) | (~v117(constB137))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19302,plain,
% 6.99/5.19 (v117(constB137) | v122(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19301, 19300])).
% 6.99/5.19 tff(19303,plain,
% 6.99/5.19 ((~(v116(constB137) <=> (v117(constB137) | v122(constB137)))) | v116(constB137) | (~(v117(constB137) | v122(constB137)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19304,plain,
% 6.99/5.19 (v116(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19303, 19302, 19288])).
% 6.99/5.19 tff(19305,plain,
% 6.99/5.19 ((v116(constB137) | v123(constB137)) | (~v116(constB137))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19306,plain,
% 6.99/5.19 (v116(constB137) | v123(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19305, 19304])).
% 6.99/5.19 tff(19307,plain,
% 6.99/5.19 ((~(v115(constB137) <=> (v116(constB137) | v123(constB137)))) | v115(constB137) | (~(v116(constB137) | v123(constB137)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19308,plain,
% 6.99/5.19 (v115(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19307, 19306, 19286])).
% 6.99/5.19 tff(19309,plain,
% 6.99/5.19 ((v115(constB137) | v124(constB137)) | (~v115(constB137))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19310,plain,
% 6.99/5.19 (v115(constB137) | v124(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19309, 19308])).
% 6.99/5.19 tff(19311,plain,
% 6.99/5.19 ((~(v114(constB137) <=> (v115(constB137) | v124(constB137)))) | v114(constB137) | (~(v115(constB137) | v124(constB137)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19312,plain,
% 6.99/5.19 (v114(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19311, 19310, 19284])).
% 6.99/5.19 tff(19313,plain,
% 6.99/5.19 ((v114(constB137) | v125(constB137)) | (~v114(constB137))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19314,plain,
% 6.99/5.19 (v114(constB137) | v125(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19313, 19312])).
% 6.99/5.19 tff(19315,plain,
% 6.99/5.19 ((~(v113(constB137) <=> (v114(constB137) | v125(constB137)))) | v113(constB137) | (~(v114(constB137) | v125(constB137)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19316,plain,
% 6.99/5.19 (v113(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19315, 19314, 19282])).
% 6.99/5.19 tff(19317,plain,
% 6.99/5.19 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB137)) <=> v111(constB137))),
% 6.99/5.19 inference(quant_inst,[status(thm)],[])).
% 6.99/5.19 tff(19318,plain,
% 6.99/5.19 ((~v126(constB137)) <=> v111(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19317, 4761])).
% 6.99/5.19 tff(19319,plain,
% 6.99/5.19 ((~((~v126(constB137)) <=> v111(constB137))) | v126(constB137) | v111(constB137)),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19320,plain,
% 6.99/5.19 ((~((~v126(constB137)) <=> v111(constB137))) | v126(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19319, 18317])).
% 6.99/5.19 tff(19321,plain,
% 6.99/5.19 (v126(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19320, 19318])).
% 6.99/5.19 tff(19322,plain,
% 6.99/5.19 ((~((~v113(constB137)) | (~v126(constB137)))) | (~v113(constB137)) | (~v126(constB137))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19323,plain,
% 6.99/5.19 ((~((~v113(constB137)) | (~v126(constB137)))) | (~v113(constB137))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19322, 19321])).
% 6.99/5.19 tff(19324,plain,
% 6.99/5.19 (~((~v113(constB137)) | (~v126(constB137)))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19323, 19316])).
% 6.99/5.19 tff(19325,plain,
% 6.99/5.19 ((~(v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137)))))) | v112(constB137) | ((~v113(constB137)) | (~v126(constB137)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19326,plain,
% 6.99/5.19 (v112(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19325, 19324, 19280])).
% 6.99/5.19 tff(19327,plain,
% 6.99/5.19 ((v111(constB137) | v112(constB137)) | (~v112(constB137))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19328,plain,
% 6.99/5.19 (v111(constB137) | v112(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19327, 19326])).
% 6.99/5.19 tff(19329,plain,
% 6.99/5.19 ((~(v108(constB137) <=> (v111(constB137) | v112(constB137)))) | v108(constB137) | (~(v111(constB137) | v112(constB137)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19330,plain,
% 6.99/5.19 (v108(constB137)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19329, 19328, 19278])).
% 6.99/5.19 tff(19331,plain,
% 6.99/5.19 ((~(v110(constB138) <=> v108(constB137))) | v110(constB138) | (~v108(constB137))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19332,plain,
% 6.99/5.19 (v110(constB138)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19331, 19330, 19276])).
% 6.99/5.19 tff(19333,plain,
% 6.99/5.19 ((~((~v101(constB138)) | (~v110(constB138)))) | (~v101(constB138)) | (~v110(constB138))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19334,plain,
% 6.99/5.19 (~((~v101(constB138)) | (~v110(constB138)))),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19333, 19332, 19272])).
% 6.99/5.19 tff(19335,plain,
% 6.99/5.19 ((~(v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138)))))) | v100(constB138) | ((~v101(constB138)) | (~v110(constB138)))),
% 6.99/5.19 inference(tautology,[status(thm)],[])).
% 6.99/5.19 tff(19336,plain,
% 6.99/5.19 (v100(constB138)),
% 6.99/5.19 inference(unit_resolution,[status(thm)],[19335, 19334, 19244])).
% 6.99/5.19 tff(19337,plain,
% 6.99/5.19 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB138)) | (~(((~v90(constB138, 0)) <=> v129(constB138, 0)) | ((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB138)) | (~(((~v90(constB138, 0)) <=> v129(constB138, 0)) | ((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1)))))),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19338,plain,
% 6.99/5.19 (((~v100(constB138)) | (~(((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1)) | ((~v90(constB138, 0)) <=> v129(constB138, 0))))) <=> ((~v100(constB138)) | (~(((~v90(constB138, 0)) <=> v129(constB138, 0)) | ((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1)))))),
% 6.99/5.19 inference(rewrite,[status(thm)],[])).
% 6.99/5.19 tff(19339,plain,
% 6.99/5.19 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB138)) | (~(((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1)) | ((~v90(constB138, 0)) <=> v129(constB138, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB138)) | (~(((~v90(constB138, 0)) <=> v129(constB138, 0)) | ((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1))))))),
% 6.99/5.19 inference(monotonicity,[status(thm)],[19338])).
% 6.99/5.19 tff(19340,plain,
% 6.99/5.19 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB138)) | (~(((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1)) | ((~v90(constB138, 0)) <=> v129(constB138, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB138)) | (~(((~v90(constB138, 0)) <=> v129(constB138, 0)) | ((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1)))))),
% 6.99/5.20 inference(transitivity,[status(thm)],[19339, 19337])).
% 6.99/5.20 tff(19341,plain,
% 6.99/5.20 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB138)) | (~(((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1)) | ((~v90(constB138, 0)) <=> v129(constB138, 0)))))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19342,plain,
% 6.99/5.20 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB138)) | (~(((~v90(constB138, 0)) <=> v129(constB138, 0)) | ((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1))))),
% 6.99/5.20 inference(modus_ponens,[status(thm)],[19341, 19340])).
% 6.99/5.20 tff(19343,plain,
% 6.99/5.20 ((~v100(constB138)) | (~(((~v90(constB138, 0)) <=> v129(constB138, 0)) | ((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1))))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19342, 4794])).
% 6.99/5.20 tff(19344,plain,
% 6.99/5.20 (~(((~v90(constB138, 0)) <=> v129(constB138, 0)) | ((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1)))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19343, 19336])).
% 6.99/5.20 tff(19345,plain,
% 6.99/5.20 ((((~v90(constB138, 0)) <=> v129(constB138, 0)) | ((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1))) | (~((~v90(constB138, 2)) <=> v129(constB138, 2)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19346,plain,
% 6.99/5.20 (~((~v90(constB138, 2)) <=> v129(constB138, 2))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19345, 19344])).
% 6.99/5.20 tff(19347,plain,
% 6.99/5.20 (((~v90(constB138, 2)) <=> v129(constB138, 2)) | (~v90(constB138, 2)) | v129(constB138, 2)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19348,plain,
% 6.99/5.20 (~v90(constB138, 2)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19347, 19346, 19240])).
% 6.99/5.20 tff(19349,plain,
% 6.99/5.20 (((~v90(constB139, 2)) <=> v90(constB138, 2)) | (~v90(constB139, 2)) | v90(constB138, 2)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19350,plain,
% 6.99/5.20 (~v90(constB139, 2)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19349, 19348, 18301])).
% 6.99/5.20 tff(19351,plain,
% 6.99/5.20 ((((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 0)) <=> v90(constB138, 0))) | (~((~v90(constB139, 0)) <=> v90(constB138, 0)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19352,plain,
% 6.99/5.20 (~((~v90(constB139, 0)) <=> v90(constB138, 0))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19351, 18299])).
% 6.99/5.20 tff(19353,plain,
% 6.99/5.20 ((((~v129(constB138, 2)) <=> v127(constB137, 2)) | ((~v129(constB138, 1)) <=> v127(constB137, 1)) | ((~v129(constB138, 0)) <=> v127(constB137, 0))) | (~((~v129(constB138, 0)) <=> v127(constB137, 0)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19354,plain,
% 6.99/5.20 (~((~v129(constB138, 0)) <=> v127(constB137, 0))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19353, 18308])).
% 6.99/5.20 tff(19355,plain,
% 6.99/5.20 ((((~v127(constB137, 2)) <=> v130(constB137, 2)) | ((~v127(constB137, 1)) <=> v130(constB137, 1)) | ((~v127(constB137, 0)) <=> v130(constB137, 0))) | (~((~v127(constB137, 0)) <=> v130(constB137, 0)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19356,plain,
% 6.99/5.20 (~((~v127(constB137, 0)) <=> v130(constB137, 0))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19355, 18322])).
% 6.99/5.20 tff(19357,plain,
% 6.99/5.20 ((v130(constB137, 2) | v130(constB137, 0) | (~v130(constB137, 1))) | (~v130(constB137, 0))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19358,plain,
% 6.99/5.20 (~v130(constB137, 0)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19357, 19234])).
% 6.99/5.20 tff(19359,plain,
% 6.99/5.20 (((~v127(constB137, 0)) <=> v130(constB137, 0)) | (~v127(constB137, 0)) | v130(constB137, 0)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19360,plain,
% 6.99/5.20 (~v127(constB137, 0)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19359, 19358, 19356])).
% 6.99/5.20 tff(19361,plain,
% 6.99/5.20 (((~v129(constB138, 0)) <=> v127(constB137, 0)) | (~v129(constB138, 0)) | v127(constB137, 0)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19362,plain,
% 6.99/5.20 (~v129(constB138, 0)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19361, 19360, 19354])).
% 6.99/5.20 tff(19363,plain,
% 6.99/5.20 ((((~v90(constB138, 0)) <=> v129(constB138, 0)) | ((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1))) | (~((~v90(constB138, 0)) <=> v129(constB138, 0)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19364,plain,
% 6.99/5.20 (~((~v90(constB138, 0)) <=> v129(constB138, 0))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19363, 19344])).
% 6.99/5.20 tff(19365,plain,
% 6.99/5.20 (((~v90(constB138, 0)) <=> v129(constB138, 0)) | (~v90(constB138, 0)) | v129(constB138, 0)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19366,plain,
% 6.99/5.20 (~v90(constB138, 0)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19365, 19364, 19362])).
% 6.99/5.20 tff(19367,plain,
% 6.99/5.20 (((~v90(constB139, 0)) <=> v90(constB138, 0)) | (~v90(constB139, 0)) | v90(constB138, 0)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19368,plain,
% 6.99/5.20 (~v90(constB139, 0)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19367, 19366, 19352])).
% 6.99/5.20 tff(19369,plain,
% 6.99/5.20 ((((~v90(constB139, 1)) <=> v90(constB138, 1)) | ((~v90(constB139, 2)) <=> v90(constB138, 2)) | ((~v90(constB139, 0)) <=> v90(constB138, 0))) | (~((~v90(constB139, 1)) <=> v90(constB138, 1)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19370,plain,
% 6.99/5.20 (~((~v90(constB139, 1)) <=> v90(constB138, 1))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19369, 18299])).
% 6.99/5.20 tff(19371,plain,
% 6.99/5.20 ((((~v129(constB138, 2)) <=> v127(constB137, 2)) | ((~v129(constB138, 1)) <=> v127(constB137, 1)) | ((~v129(constB138, 0)) <=> v127(constB137, 0))) | (~((~v129(constB138, 1)) <=> v127(constB137, 1)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19372,plain,
% 6.99/5.20 (~((~v129(constB138, 1)) <=> v127(constB137, 1))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19371, 18308])).
% 6.99/5.20 tff(19373,plain,
% 6.99/5.20 ((((~v127(constB137, 2)) <=> v130(constB137, 2)) | ((~v127(constB137, 1)) <=> v130(constB137, 1)) | ((~v127(constB137, 0)) <=> v130(constB137, 0))) | (~((~v127(constB137, 1)) <=> v130(constB137, 1)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19374,plain,
% 6.99/5.20 (~((~v127(constB137, 1)) <=> v130(constB137, 1))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19373, 18322])).
% 6.99/5.20 tff(19375,plain,
% 6.99/5.20 ((v130(constB137, 2) | v130(constB137, 0) | (~v130(constB137, 1))) | v130(constB137, 1)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19376,plain,
% 6.99/5.20 (v130(constB137, 1)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19375, 19234])).
% 6.99/5.20 tff(19377,plain,
% 6.99/5.20 (((~v127(constB137, 1)) <=> v130(constB137, 1)) | v127(constB137, 1) | (~v130(constB137, 1))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19378,plain,
% 6.99/5.20 (v127(constB137, 1)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19377, 19376, 19374])).
% 6.99/5.20 tff(19379,plain,
% 6.99/5.20 (((~v129(constB138, 1)) <=> v127(constB137, 1)) | v129(constB138, 1) | (~v127(constB137, 1))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19380,plain,
% 6.99/5.20 (v129(constB138, 1)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19379, 19378, 19372])).
% 6.99/5.20 tff(19381,plain,
% 6.99/5.20 ((((~v90(constB138, 0)) <=> v129(constB138, 0)) | ((~v90(constB138, 2)) <=> v129(constB138, 2)) | ((~v90(constB138, 1)) <=> v129(constB138, 1))) | (~((~v90(constB138, 1)) <=> v129(constB138, 1)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19382,plain,
% 6.99/5.20 (~((~v90(constB138, 1)) <=> v129(constB138, 1))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19381, 19344])).
% 6.99/5.20 tff(19383,plain,
% 6.99/5.20 (((~v90(constB138, 1)) <=> v129(constB138, 1)) | v90(constB138, 1) | (~v129(constB138, 1))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19384,plain,
% 6.99/5.20 (v90(constB138, 1)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19383, 19382, 19380])).
% 6.99/5.20 tff(19385,plain,
% 6.99/5.20 (((~v90(constB139, 1)) <=> v90(constB138, 1)) | v90(constB139, 1) | (~v90(constB138, 1))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19386,plain,
% 6.99/5.20 (v90(constB139, 1)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19385, 19384, 19370])).
% 6.99/5.20 tff(19387,plain,
% 6.99/5.20 ((~(v90(constB139, 2) | v90(constB139, 0) | (~v90(constB139, 1)))) | v90(constB139, 2) | v90(constB139, 0) | (~v90(constB139, 1))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19388,plain,
% 6.99/5.20 (~(v90(constB139, 2) | v90(constB139, 0) | (~v90(constB139, 1)))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19387, 19386, 19368, 19350])).
% 6.99/5.20 tff(19389,plain,
% 6.99/5.20 ((~(v121(constB139) <=> (~(v90(constB139, 2) | v90(constB139, 0) | (~v90(constB139, 1)))))) | v121(constB139) | (v90(constB139, 2) | v90(constB139, 0) | (~v90(constB139, 1)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19390,plain,
% 6.99/5.20 (v121(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19389, 19388, 18265])).
% 6.99/5.20 tff(19391,plain,
% 6.99/5.20 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB139)) | (~(v130(constB139, 2) | (~v130(constB139, 1)) | (~v130(constB139, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB139)) | (~(v130(constB139, 2) | (~v130(constB139, 1)) | (~v130(constB139, 0)))))),
% 6.99/5.20 inference(rewrite,[status(thm)],[])).
% 6.99/5.20 tff(19392,plain,
% 6.99/5.20 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB139)) | (~(v130(constB139, 2) | (~v130(constB139, 1)) | (~v130(constB139, 0)))))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19393,plain,
% 6.99/5.20 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB139)) | (~(v130(constB139, 2) | (~v130(constB139, 1)) | (~v130(constB139, 0))))),
% 6.99/5.20 inference(modus_ponens,[status(thm)],[19392, 19391])).
% 6.99/5.20 tff(19394,plain,
% 6.99/5.20 ((~v121(constB139)) | (~(v130(constB139, 2) | (~v130(constB139, 1)) | (~v130(constB139, 0))))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19393, 5420])).
% 6.99/5.20 tff(19395,plain,
% 6.99/5.20 (~(v130(constB139, 2) | (~v130(constB139, 1)) | (~v130(constB139, 0)))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19394, 19390])).
% 6.99/5.20 tff(19396,plain,
% 6.99/5.20 ((v130(constB139, 2) | (~v130(constB139, 1)) | (~v130(constB139, 0))) | (~v130(constB139, 2))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19397,plain,
% 6.99/5.20 (~v130(constB139, 2)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19396, 19395])).
% 6.99/5.20 tff(19398,plain,
% 6.99/5.20 (((~v127(constB139, 2)) <=> v130(constB139, 2)) | (~v127(constB139, 2)) | v130(constB139, 2)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19399,plain,
% 6.99/5.20 (~v127(constB139, 2)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19398, 19397, 18258])).
% 6.99/5.20 tff(19400,plain,
% 6.99/5.20 (((~v129(constB140, 2)) <=> v127(constB139, 2)) | (~v129(constB140, 2)) | v127(constB139, 2)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19401,plain,
% 6.99/5.20 (~v129(constB140, 2)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19400, 19399, 18244])).
% 6.99/5.20 tff(19402,plain,
% 6.99/5.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))))),
% 6.99/5.20 inference(rewrite,[status(thm)],[])).
% 6.99/5.20 tff(19403,plain,
% 6.99/5.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19404,plain,
% 6.99/5.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140)))))),
% 6.99/5.20 inference(modus_ponens,[status(thm)],[19403, 19402])).
% 6.99/5.20 tff(19405,plain,
% 6.99/5.20 (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19404, 18238, 273])).
% 6.99/5.20 tff(19406,plain,
% 6.99/5.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))),
% 6.99/5.20 inference(rewrite,[status(thm)],[])).
% 6.99/5.20 tff(19407,plain,
% 6.99/5.20 (((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140)))))) <=> ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))),
% 6.99/5.20 inference(rewrite,[status(thm)],[])).
% 6.99/5.20 tff(19408,plain,
% 6.99/5.20 (((~![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) <=> (~((~v1(constB140)) | (~v102(constB140)))))))),
% 6.99/5.20 inference(monotonicity,[status(thm)],[19407])).
% 6.99/5.20 tff(19409,plain,
% 6.99/5.20 (((~![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) <=> (~((~v1(constB140)) | (~v102(constB140))))))),
% 6.99/5.20 inference(transitivity,[status(thm)],[19408, 19406])).
% 6.99/5.20 tff(19410,plain,
% 6.99/5.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140))))))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19411,plain,
% 6.99/5.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140)))))),
% 6.99/5.20 inference(modus_ponens,[status(thm)],[19410, 19409])).
% 6.99/5.20 tff(19412,plain,
% 6.99/5.20 (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19411, 18238, 293])).
% 6.99/5.20 tff(19413,plain,
% 6.99/5.20 (((~![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)))),
% 6.99/5.20 inference(rewrite,[status(thm)],[])).
% 6.99/5.20 tff(19414,plain,
% 6.99/5.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140)))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19415,plain,
% 6.99/5.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140))),
% 6.99/5.20 inference(modus_ponens,[status(thm)],[19414, 19413])).
% 6.99/5.20 tff(19416,plain,
% 6.99/5.20 ((~v102(constB140)) <=> v104(constB140)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19415, 18238, 4609])).
% 6.99/5.20 tff(19417,plain,
% 6.99/5.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139)))),
% 6.99/5.20 inference(rewrite,[status(thm)],[])).
% 6.99/5.20 tff(19418,plain,
% 6.99/5.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139)))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19419,plain,
% 6.99/5.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139))),
% 6.99/5.20 inference(modus_ponens,[status(thm)],[19418, 19417])).
% 6.99/5.20 tff(19420,plain,
% 6.99/5.20 (v104(constB140) <=> v1(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19419, 18238, 4623])).
% 6.99/5.20 tff(19421,plain,
% 6.99/5.20 ((~(v104(constB140) <=> v1(constB139))) | (~v104(constB140)) | v1(constB139)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19422,plain,
% 6.99/5.20 ((~(v104(constB140) <=> v1(constB139))) | (~v104(constB140))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19421, 18282])).
% 6.99/5.20 tff(19423,plain,
% 6.99/5.20 (~v104(constB140)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19422, 19420])).
% 6.99/5.20 tff(19424,plain,
% 6.99/5.20 ((~((~v102(constB140)) <=> v104(constB140))) | v102(constB140) | v104(constB140)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19425,plain,
% 6.99/5.20 (v102(constB140)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19424, 19423, 19416])).
% 6.99/5.20 tff(19426,plain,
% 6.99/5.20 (v1(constB140) <=> v1(constB140)),
% 6.99/5.20 inference(rewrite,[status(thm)],[])).
% 6.99/5.20 tff(19427,axiom,(v1(constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_140')).
% 6.99/5.20 tff(19428,plain,
% 6.99/5.20 (v1(constB140)),
% 6.99/5.20 inference(modus_ponens,[status(thm)],[19427, 19426])).
% 6.99/5.20 tff(19429,plain,
% 6.99/5.20 ((~((~v1(constB140)) | (~v102(constB140)))) | (~v1(constB140)) | (~v102(constB140))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19430,plain,
% 6.99/5.20 ((~((~v1(constB140)) | (~v102(constB140)))) | (~v102(constB140))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19429, 19428])).
% 6.99/5.20 tff(19431,plain,
% 6.99/5.20 (~((~v1(constB140)) | (~v102(constB140)))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19430, 19425])).
% 6.99/5.20 tff(19432,plain,
% 6.99/5.20 ((~(v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140)))))) | v101(constB140) | ((~v1(constB140)) | (~v102(constB140)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19433,plain,
% 6.99/5.20 (v101(constB140)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19432, 19431, 19412])).
% 6.99/5.20 tff(19434,plain,
% 6.99/5.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139)))),
% 6.99/5.20 inference(rewrite,[status(thm)],[])).
% 6.99/5.20 tff(19435,plain,
% 6.99/5.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139)))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19436,plain,
% 6.99/5.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139))),
% 6.99/5.20 inference(modus_ponens,[status(thm)],[19435, 19434])).
% 6.99/5.20 tff(19437,plain,
% 6.99/5.20 (v110(constB140) <=> v108(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19436, 18238, 4650])).
% 6.99/5.20 tff(19438,plain,
% 6.99/5.20 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB139) <=> (v111(constB139) | v112(constB139)))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19439,plain,
% 6.99/5.20 (v108(constB139) <=> (v111(constB139) | v112(constB139))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19438, 4661])).
% 6.99/5.20 tff(19440,plain,
% 6.99/5.20 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139)))))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19441,plain,
% 6.99/5.20 (v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139))))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19440, 4673])).
% 6.99/5.20 tff(19442,plain,
% 6.99/5.20 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB139) <=> (v114(constB139) | v125(constB139)))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19443,plain,
% 6.99/5.20 (v113(constB139) <=> (v114(constB139) | v125(constB139))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19442, 4682])).
% 6.99/5.20 tff(19444,plain,
% 6.99/5.20 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB139) <=> (v115(constB139) | v124(constB139)))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19445,plain,
% 6.99/5.20 (v114(constB139) <=> (v115(constB139) | v124(constB139))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19444, 4691])).
% 6.99/5.20 tff(19446,plain,
% 6.99/5.20 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB139) <=> (v116(constB139) | v123(constB139)))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19447,plain,
% 6.99/5.20 (v115(constB139) <=> (v116(constB139) | v123(constB139))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19446, 4700])).
% 6.99/5.20 tff(19448,plain,
% 6.99/5.20 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB139) <=> (v117(constB139) | v122(constB139)))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19449,plain,
% 6.99/5.20 (v116(constB139) <=> (v117(constB139) | v122(constB139))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19448, 4709])).
% 6.99/5.20 tff(19450,plain,
% 6.99/5.20 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB139) <=> (v118(constB139) | v121(constB139)))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19451,plain,
% 6.99/5.20 (v117(constB139) <=> (v118(constB139) | v121(constB139))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19450, 4718])).
% 6.99/5.20 tff(19452,plain,
% 6.99/5.20 ((v118(constB139) | v121(constB139)) | (~v121(constB139))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19453,plain,
% 6.99/5.20 (v118(constB139) | v121(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19452, 19390])).
% 6.99/5.20 tff(19454,plain,
% 6.99/5.20 ((~(v117(constB139) <=> (v118(constB139) | v121(constB139)))) | v117(constB139) | (~(v118(constB139) | v121(constB139)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19455,plain,
% 6.99/5.20 (v117(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19454, 19453, 19451])).
% 6.99/5.20 tff(19456,plain,
% 6.99/5.20 ((v117(constB139) | v122(constB139)) | (~v117(constB139))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19457,plain,
% 6.99/5.20 (v117(constB139) | v122(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19456, 19455])).
% 6.99/5.20 tff(19458,plain,
% 6.99/5.20 ((~(v116(constB139) <=> (v117(constB139) | v122(constB139)))) | v116(constB139) | (~(v117(constB139) | v122(constB139)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19459,plain,
% 6.99/5.20 (v116(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19458, 19457, 19449])).
% 6.99/5.20 tff(19460,plain,
% 6.99/5.20 ((v116(constB139) | v123(constB139)) | (~v116(constB139))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19461,plain,
% 6.99/5.20 (v116(constB139) | v123(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19460, 19459])).
% 6.99/5.20 tff(19462,plain,
% 6.99/5.20 ((~(v115(constB139) <=> (v116(constB139) | v123(constB139)))) | v115(constB139) | (~(v116(constB139) | v123(constB139)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19463,plain,
% 6.99/5.20 (v115(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19462, 19461, 19447])).
% 6.99/5.20 tff(19464,plain,
% 6.99/5.20 ((v115(constB139) | v124(constB139)) | (~v115(constB139))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19465,plain,
% 6.99/5.20 (v115(constB139) | v124(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19464, 19463])).
% 6.99/5.20 tff(19466,plain,
% 6.99/5.20 ((~(v114(constB139) <=> (v115(constB139) | v124(constB139)))) | v114(constB139) | (~(v115(constB139) | v124(constB139)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19467,plain,
% 6.99/5.20 (v114(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19466, 19465, 19445])).
% 6.99/5.20 tff(19468,plain,
% 6.99/5.20 ((v114(constB139) | v125(constB139)) | (~v114(constB139))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19469,plain,
% 6.99/5.20 (v114(constB139) | v125(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19468, 19467])).
% 6.99/5.20 tff(19470,plain,
% 6.99/5.20 ((~(v113(constB139) <=> (v114(constB139) | v125(constB139)))) | v113(constB139) | (~(v114(constB139) | v125(constB139)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19471,plain,
% 6.99/5.20 (v113(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19470, 19469, 19443])).
% 6.99/5.20 tff(19472,plain,
% 6.99/5.20 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB139)) <=> v111(constB139))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19473,plain,
% 6.99/5.20 ((~v126(constB139)) <=> v111(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19472, 4761])).
% 6.99/5.20 tff(19474,plain,
% 6.99/5.20 ((~((~v126(constB139)) <=> v111(constB139))) | v126(constB139) | v111(constB139)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19475,plain,
% 6.99/5.20 ((~((~v126(constB139)) <=> v111(constB139))) | v126(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19474, 18251])).
% 6.99/5.20 tff(19476,plain,
% 6.99/5.20 (v126(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19475, 19473])).
% 6.99/5.20 tff(19477,plain,
% 6.99/5.20 ((~((~v113(constB139)) | (~v126(constB139)))) | (~v113(constB139)) | (~v126(constB139))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19478,plain,
% 6.99/5.20 ((~((~v113(constB139)) | (~v126(constB139)))) | (~v113(constB139))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19477, 19476])).
% 6.99/5.20 tff(19479,plain,
% 6.99/5.20 (~((~v113(constB139)) | (~v126(constB139)))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19478, 19471])).
% 6.99/5.20 tff(19480,plain,
% 6.99/5.20 ((~(v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139)))))) | v112(constB139) | ((~v113(constB139)) | (~v126(constB139)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19481,plain,
% 6.99/5.20 (v112(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19480, 19479, 19441])).
% 6.99/5.20 tff(19482,plain,
% 6.99/5.20 ((v111(constB139) | v112(constB139)) | (~v112(constB139))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19483,plain,
% 6.99/5.20 (v111(constB139) | v112(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19482, 19481])).
% 6.99/5.20 tff(19484,plain,
% 6.99/5.20 ((~(v108(constB139) <=> (v111(constB139) | v112(constB139)))) | v108(constB139) | (~(v111(constB139) | v112(constB139)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19485,plain,
% 6.99/5.20 (v108(constB139)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19484, 19483, 19439])).
% 6.99/5.20 tff(19486,plain,
% 6.99/5.20 ((~(v110(constB140) <=> v108(constB139))) | v110(constB140) | (~v108(constB139))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19487,plain,
% 6.99/5.20 (v110(constB140)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19486, 19485, 19437])).
% 6.99/5.20 tff(19488,plain,
% 6.99/5.20 ((~((~v101(constB140)) | (~v110(constB140)))) | (~v101(constB140)) | (~v110(constB140))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19489,plain,
% 6.99/5.20 (~((~v101(constB140)) | (~v110(constB140)))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19488, 19487, 19433])).
% 6.99/5.20 tff(19490,plain,
% 6.99/5.20 ((~(v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140)))))) | v100(constB140) | ((~v101(constB140)) | (~v110(constB140)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19491,plain,
% 6.99/5.20 (v100(constB140)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19490, 19489, 19405])).
% 6.99/5.20 tff(19492,plain,
% 6.99/5.20 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB140)) | (~(((~v90(constB140, 2)) <=> v129(constB140, 2)) | ((~v90(constB140, 1)) <=> v129(constB140, 1)) | ((~v90(constB140, 0)) <=> v129(constB140, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB140)) | (~(((~v90(constB140, 2)) <=> v129(constB140, 2)) | ((~v90(constB140, 1)) <=> v129(constB140, 1)) | ((~v90(constB140, 0)) <=> v129(constB140, 0)))))),
% 6.99/5.20 inference(rewrite,[status(thm)],[])).
% 6.99/5.20 tff(19493,plain,
% 6.99/5.20 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB140)) | (~(((~v90(constB140, 2)) <=> v129(constB140, 2)) | ((~v90(constB140, 1)) <=> v129(constB140, 1)) | ((~v90(constB140, 0)) <=> v129(constB140, 0)))))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19494,plain,
% 6.99/5.20 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB140)) | (~(((~v90(constB140, 2)) <=> v129(constB140, 2)) | ((~v90(constB140, 1)) <=> v129(constB140, 1)) | ((~v90(constB140, 0)) <=> v129(constB140, 0))))),
% 6.99/5.20 inference(modus_ponens,[status(thm)],[19493, 19492])).
% 6.99/5.20 tff(19495,plain,
% 6.99/5.20 ((~v100(constB140)) | (~(((~v90(constB140, 2)) <=> v129(constB140, 2)) | ((~v90(constB140, 1)) <=> v129(constB140, 1)) | ((~v90(constB140, 0)) <=> v129(constB140, 0))))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19494, 4794])).
% 6.99/5.20 tff(19496,plain,
% 6.99/5.20 (~(((~v90(constB140, 2)) <=> v129(constB140, 2)) | ((~v90(constB140, 1)) <=> v129(constB140, 1)) | ((~v90(constB140, 0)) <=> v129(constB140, 0)))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19495, 19491])).
% 6.99/5.20 tff(19497,plain,
% 6.99/5.20 ((((~v90(constB140, 2)) <=> v129(constB140, 2)) | ((~v90(constB140, 1)) <=> v129(constB140, 1)) | ((~v90(constB140, 0)) <=> v129(constB140, 0))) | (~((~v90(constB140, 2)) <=> v129(constB140, 2)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19498,plain,
% 6.99/5.20 (~((~v90(constB140, 2)) <=> v129(constB140, 2))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19497, 19496])).
% 6.99/5.20 tff(19499,plain,
% 6.99/5.20 (((~v90(constB140, 2)) <=> v129(constB140, 2)) | (~v90(constB140, 2)) | v129(constB140, 2)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19500,plain,
% 6.99/5.20 (~v90(constB140, 2)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19499, 19498, 19401])).
% 6.99/5.20 tff(19501,plain,
% 6.99/5.20 (((~v90(constB141, 2)) <=> v90(constB140, 2)) | (~v90(constB141, 2)) | v90(constB140, 2)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19502,plain,
% 6.99/5.20 (~v90(constB141, 2)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19501, 19500, 18235])).
% 6.99/5.20 tff(19503,plain,
% 6.99/5.20 ((((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 0)) <=> v90(constB140, 0))) | (~((~v90(constB141, 0)) <=> v90(constB140, 0)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19504,plain,
% 6.99/5.20 (~((~v90(constB141, 0)) <=> v90(constB140, 0))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19503, 18233])).
% 6.99/5.20 tff(19505,plain,
% 6.99/5.20 ((((~v129(constB140, 2)) <=> v127(constB139, 2)) | ((~v129(constB140, 1)) <=> v127(constB139, 1)) | ((~v129(constB140, 0)) <=> v127(constB139, 0))) | (~((~v129(constB140, 0)) <=> v127(constB139, 0)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19506,plain,
% 6.99/5.20 (~((~v129(constB140, 0)) <=> v127(constB139, 0))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19505, 18242])).
% 6.99/5.20 tff(19507,plain,
% 6.99/5.20 ((((~v127(constB139, 2)) <=> v130(constB139, 2)) | ((~v127(constB139, 1)) <=> v130(constB139, 1)) | ((~v127(constB139, 0)) <=> v130(constB139, 0))) | (~((~v127(constB139, 0)) <=> v130(constB139, 0)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19508,plain,
% 6.99/5.20 (~((~v127(constB139, 0)) <=> v130(constB139, 0))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19507, 18256])).
% 6.99/5.20 tff(19509,plain,
% 6.99/5.20 ((v130(constB139, 2) | (~v130(constB139, 1)) | (~v130(constB139, 0))) | v130(constB139, 0)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19510,plain,
% 6.99/5.20 (v130(constB139, 0)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19509, 19395])).
% 6.99/5.20 tff(19511,plain,
% 6.99/5.20 (((~v127(constB139, 0)) <=> v130(constB139, 0)) | v127(constB139, 0) | (~v130(constB139, 0))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19512,plain,
% 6.99/5.20 (v127(constB139, 0)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19511, 19510, 19508])).
% 6.99/5.20 tff(19513,plain,
% 6.99/5.20 (((~v129(constB140, 0)) <=> v127(constB139, 0)) | v129(constB140, 0) | (~v127(constB139, 0))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19514,plain,
% 6.99/5.20 (v129(constB140, 0)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19513, 19512, 19506])).
% 6.99/5.20 tff(19515,plain,
% 6.99/5.20 ((((~v90(constB140, 2)) <=> v129(constB140, 2)) | ((~v90(constB140, 1)) <=> v129(constB140, 1)) | ((~v90(constB140, 0)) <=> v129(constB140, 0))) | (~((~v90(constB140, 0)) <=> v129(constB140, 0)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19516,plain,
% 6.99/5.20 (~((~v90(constB140, 0)) <=> v129(constB140, 0))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19515, 19496])).
% 6.99/5.20 tff(19517,plain,
% 6.99/5.20 (((~v90(constB140, 0)) <=> v129(constB140, 0)) | v90(constB140, 0) | (~v129(constB140, 0))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19518,plain,
% 6.99/5.20 (v90(constB140, 0)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19517, 19516, 19514])).
% 6.99/5.20 tff(19519,plain,
% 6.99/5.20 (((~v90(constB141, 0)) <=> v90(constB140, 0)) | v90(constB141, 0) | (~v90(constB140, 0))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19520,plain,
% 6.99/5.20 (v90(constB141, 0)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19519, 19518, 19504])).
% 6.99/5.20 tff(19521,plain,
% 6.99/5.20 ((((~v90(constB141, 1)) <=> v90(constB140, 1)) | ((~v90(constB141, 2)) <=> v90(constB140, 2)) | ((~v90(constB141, 0)) <=> v90(constB140, 0))) | (~((~v90(constB141, 1)) <=> v90(constB140, 1)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19522,plain,
% 6.99/5.20 (~((~v90(constB141, 1)) <=> v90(constB140, 1))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19521, 18233])).
% 6.99/5.20 tff(19523,plain,
% 6.99/5.20 ((((~v129(constB140, 2)) <=> v127(constB139, 2)) | ((~v129(constB140, 1)) <=> v127(constB139, 1)) | ((~v129(constB140, 0)) <=> v127(constB139, 0))) | (~((~v129(constB140, 1)) <=> v127(constB139, 1)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19524,plain,
% 6.99/5.20 (~((~v129(constB140, 1)) <=> v127(constB139, 1))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19523, 18242])).
% 6.99/5.20 tff(19525,plain,
% 6.99/5.20 ((((~v127(constB139, 2)) <=> v130(constB139, 2)) | ((~v127(constB139, 1)) <=> v130(constB139, 1)) | ((~v127(constB139, 0)) <=> v130(constB139, 0))) | (~((~v127(constB139, 1)) <=> v130(constB139, 1)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19526,plain,
% 6.99/5.20 (~((~v127(constB139, 1)) <=> v130(constB139, 1))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19525, 18256])).
% 6.99/5.20 tff(19527,plain,
% 6.99/5.20 ((v130(constB139, 2) | (~v130(constB139, 1)) | (~v130(constB139, 0))) | v130(constB139, 1)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19528,plain,
% 6.99/5.20 (v130(constB139, 1)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19527, 19395])).
% 6.99/5.20 tff(19529,plain,
% 6.99/5.20 (((~v127(constB139, 1)) <=> v130(constB139, 1)) | v127(constB139, 1) | (~v130(constB139, 1))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19530,plain,
% 6.99/5.20 (v127(constB139, 1)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19529, 19528, 19526])).
% 6.99/5.20 tff(19531,plain,
% 6.99/5.20 (((~v129(constB140, 1)) <=> v127(constB139, 1)) | v129(constB140, 1) | (~v127(constB139, 1))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19532,plain,
% 6.99/5.20 (v129(constB140, 1)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19531, 19530, 19524])).
% 6.99/5.20 tff(19533,plain,
% 6.99/5.20 ((((~v90(constB140, 2)) <=> v129(constB140, 2)) | ((~v90(constB140, 1)) <=> v129(constB140, 1)) | ((~v90(constB140, 0)) <=> v129(constB140, 0))) | (~((~v90(constB140, 1)) <=> v129(constB140, 1)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19534,plain,
% 6.99/5.20 (~((~v90(constB140, 1)) <=> v129(constB140, 1))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19533, 19496])).
% 6.99/5.20 tff(19535,plain,
% 6.99/5.20 (((~v90(constB140, 1)) <=> v129(constB140, 1)) | v90(constB140, 1) | (~v129(constB140, 1))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19536,plain,
% 6.99/5.20 (v90(constB140, 1)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19535, 19534, 19532])).
% 6.99/5.20 tff(19537,plain,
% 6.99/5.20 (((~v90(constB141, 1)) <=> v90(constB140, 1)) | v90(constB141, 1) | (~v90(constB140, 1))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19538,plain,
% 6.99/5.20 (v90(constB141, 1)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19537, 19536, 19522])).
% 6.99/5.20 tff(19539,plain,
% 6.99/5.20 ((~(v90(constB141, 2) | (~v90(constB141, 1)) | (~v90(constB141, 0)))) | v90(constB141, 2) | (~v90(constB141, 1)) | (~v90(constB141, 0))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19540,plain,
% 6.99/5.20 (~(v90(constB141, 2) | (~v90(constB141, 1)) | (~v90(constB141, 0)))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19539, 19538, 19520, 19502])).
% 6.99/5.20 tff(19541,plain,
% 6.99/5.20 ((~(v122(constB141) <=> (~(v90(constB141, 2) | (~v90(constB141, 1)) | (~v90(constB141, 0)))))) | v122(constB141) | (v90(constB141, 2) | (~v90(constB141, 1)) | (~v90(constB141, 0)))),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.20 tff(19542,plain,
% 6.99/5.20 (v122(constB141)),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19541, 19540, 18199])).
% 6.99/5.20 tff(19543,plain,
% 6.99/5.20 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB141)) | (~(v130(constB141, 1) | v130(constB141, 0) | (~v130(constB141, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB141)) | (~(v130(constB141, 1) | v130(constB141, 0) | (~v130(constB141, 2)))))),
% 6.99/5.20 inference(rewrite,[status(thm)],[])).
% 6.99/5.20 tff(19544,plain,
% 6.99/5.20 (((~v122(constB141)) | (~(v130(constB141, 0) | v130(constB141, 1) | (~v130(constB141, 2))))) <=> ((~v122(constB141)) | (~(v130(constB141, 1) | v130(constB141, 0) | (~v130(constB141, 2)))))),
% 6.99/5.20 inference(rewrite,[status(thm)],[])).
% 6.99/5.20 tff(19545,plain,
% 6.99/5.20 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB141)) | (~(v130(constB141, 0) | v130(constB141, 1) | (~v130(constB141, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB141)) | (~(v130(constB141, 1) | v130(constB141, 0) | (~v130(constB141, 2))))))),
% 6.99/5.20 inference(monotonicity,[status(thm)],[19544])).
% 6.99/5.20 tff(19546,plain,
% 6.99/5.20 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB141)) | (~(v130(constB141, 0) | v130(constB141, 1) | (~v130(constB141, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB141)) | (~(v130(constB141, 1) | v130(constB141, 0) | (~v130(constB141, 2)))))),
% 6.99/5.20 inference(transitivity,[status(thm)],[19545, 19543])).
% 6.99/5.20 tff(19547,plain,
% 6.99/5.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB141)) | (~(v130(constB141, 0) | v130(constB141, 1) | (~v130(constB141, 2)))))),
% 6.99/5.20 inference(quant_inst,[status(thm)],[])).
% 6.99/5.20 tff(19548,plain,
% 6.99/5.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB141)) | (~(v130(constB141, 1) | v130(constB141, 0) | (~v130(constB141, 2))))),
% 6.99/5.20 inference(modus_ponens,[status(thm)],[19547, 19546])).
% 6.99/5.20 tff(19549,plain,
% 6.99/5.20 ((~v122(constB141)) | (~(v130(constB141, 1) | v130(constB141, 0) | (~v130(constB141, 2))))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19548, 5588])).
% 6.99/5.20 tff(19550,plain,
% 6.99/5.20 (~(v130(constB141, 1) | v130(constB141, 0) | (~v130(constB141, 2)))),
% 6.99/5.20 inference(unit_resolution,[status(thm)],[19549, 19542])).
% 6.99/5.20 tff(19551,plain,
% 6.99/5.20 ((v130(constB141, 1) | v130(constB141, 0) | (~v130(constB141, 2))) | v130(constB141, 2)),
% 6.99/5.20 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19552,plain,
% 6.99/5.21 (v130(constB141, 2)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19551, 19550])).
% 6.99/5.21 tff(19553,plain,
% 6.99/5.21 (((~v127(constB141, 2)) <=> v130(constB141, 2)) | v127(constB141, 2) | (~v130(constB141, 2))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19554,plain,
% 6.99/5.21 (v127(constB141, 2)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19553, 19552, 18192])).
% 6.99/5.21 tff(19555,plain,
% 6.99/5.21 (((~v129(constB142, 2)) <=> v127(constB141, 2)) | v129(constB142, 2) | (~v127(constB141, 2))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19556,plain,
% 6.99/5.21 (v129(constB142, 2)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19555, 19554, 18178])).
% 6.99/5.21 tff(19557,plain,
% 6.99/5.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19558,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19559,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142)))))),
% 6.99/5.21 inference(modus_ponens,[status(thm)],[19558, 19557])).
% 6.99/5.21 tff(19560,plain,
% 6.99/5.21 (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19559, 18172, 273])).
% 6.99/5.21 tff(19561,plain,
% 6.99/5.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19562,plain,
% 6.99/5.21 (((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142)))))) <=> ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19563,plain,
% 6.99/5.21 (((~![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) <=> (~((~v1(constB142)) | (~v102(constB142)))))))),
% 6.99/5.21 inference(monotonicity,[status(thm)],[19562])).
% 6.99/5.21 tff(19564,plain,
% 6.99/5.21 (((~![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) <=> (~((~v1(constB142)) | (~v102(constB142))))))),
% 6.99/5.21 inference(transitivity,[status(thm)],[19563, 19561])).
% 6.99/5.21 tff(19565,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142))))))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19566,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142)))))),
% 6.99/5.21 inference(modus_ponens,[status(thm)],[19565, 19564])).
% 6.99/5.21 tff(19567,plain,
% 6.99/5.21 (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19566, 18172, 293])).
% 6.99/5.21 tff(19568,plain,
% 6.99/5.21 (((~![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)))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19569,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19570,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142))),
% 6.99/5.21 inference(modus_ponens,[status(thm)],[19569, 19568])).
% 6.99/5.21 tff(19571,plain,
% 6.99/5.21 ((~v102(constB142)) <=> v104(constB142)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19570, 18172, 4609])).
% 6.99/5.21 tff(19572,plain,
% 6.99/5.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141)))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19573,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19574,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141))),
% 6.99/5.21 inference(modus_ponens,[status(thm)],[19573, 19572])).
% 6.99/5.21 tff(19575,plain,
% 6.99/5.21 (v104(constB142) <=> v1(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19574, 18172, 4623])).
% 6.99/5.21 tff(19576,plain,
% 6.99/5.21 ((~(v104(constB142) <=> v1(constB141))) | (~v104(constB142)) | v1(constB141)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19577,plain,
% 6.99/5.21 ((~(v104(constB142) <=> v1(constB141))) | (~v104(constB142))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19576, 18216])).
% 6.99/5.21 tff(19578,plain,
% 6.99/5.21 (~v104(constB142)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19577, 19575])).
% 6.99/5.21 tff(19579,plain,
% 6.99/5.21 ((~((~v102(constB142)) <=> v104(constB142))) | v102(constB142) | v104(constB142)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19580,plain,
% 6.99/5.21 (v102(constB142)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19579, 19578, 19571])).
% 6.99/5.21 tff(19581,plain,
% 6.99/5.21 (v1(constB142) <=> v1(constB142)),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19582,axiom,(v1(constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_142')).
% 6.99/5.21 tff(19583,plain,
% 6.99/5.21 (v1(constB142)),
% 6.99/5.21 inference(modus_ponens,[status(thm)],[19582, 19581])).
% 6.99/5.21 tff(19584,plain,
% 6.99/5.21 ((~((~v1(constB142)) | (~v102(constB142)))) | (~v1(constB142)) | (~v102(constB142))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19585,plain,
% 6.99/5.21 ((~((~v1(constB142)) | (~v102(constB142)))) | (~v102(constB142))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19584, 19583])).
% 6.99/5.21 tff(19586,plain,
% 6.99/5.21 (~((~v1(constB142)) | (~v102(constB142)))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19585, 19580])).
% 6.99/5.21 tff(19587,plain,
% 6.99/5.21 ((~(v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142)))))) | v101(constB142) | ((~v1(constB142)) | (~v102(constB142)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19588,plain,
% 6.99/5.21 (v101(constB142)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19587, 19586, 19567])).
% 6.99/5.21 tff(19589,plain,
% 6.99/5.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141)))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19590,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19591,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141))),
% 6.99/5.21 inference(modus_ponens,[status(thm)],[19590, 19589])).
% 6.99/5.21 tff(19592,plain,
% 6.99/5.21 (v110(constB142) <=> v108(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19591, 18172, 4650])).
% 6.99/5.21 tff(19593,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB141) <=> (v111(constB141) | v112(constB141)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19594,plain,
% 6.99/5.21 (v108(constB141) <=> (v111(constB141) | v112(constB141))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19593, 4661])).
% 6.99/5.21 tff(19595,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141)))))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19596,plain,
% 6.99/5.21 (v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141))))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19595, 4673])).
% 6.99/5.21 tff(19597,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB141) <=> (v114(constB141) | v125(constB141)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19598,plain,
% 6.99/5.21 (v113(constB141) <=> (v114(constB141) | v125(constB141))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19597, 4682])).
% 6.99/5.21 tff(19599,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB141) <=> (v115(constB141) | v124(constB141)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19600,plain,
% 6.99/5.21 (v114(constB141) <=> (v115(constB141) | v124(constB141))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19599, 4691])).
% 6.99/5.21 tff(19601,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB141) <=> (v116(constB141) | v123(constB141)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19602,plain,
% 6.99/5.21 (v115(constB141) <=> (v116(constB141) | v123(constB141))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19601, 4700])).
% 6.99/5.21 tff(19603,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB141) <=> (v117(constB141) | v122(constB141)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19604,plain,
% 6.99/5.21 (v116(constB141) <=> (v117(constB141) | v122(constB141))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19603, 4709])).
% 6.99/5.21 tff(19605,plain,
% 6.99/5.21 ((v117(constB141) | v122(constB141)) | (~v122(constB141))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19606,plain,
% 6.99/5.21 (v117(constB141) | v122(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19605, 19542])).
% 6.99/5.21 tff(19607,plain,
% 6.99/5.21 ((~(v116(constB141) <=> (v117(constB141) | v122(constB141)))) | v116(constB141) | (~(v117(constB141) | v122(constB141)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19608,plain,
% 6.99/5.21 (v116(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19607, 19606, 19604])).
% 6.99/5.21 tff(19609,plain,
% 6.99/5.21 ((v116(constB141) | v123(constB141)) | (~v116(constB141))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19610,plain,
% 6.99/5.21 (v116(constB141) | v123(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19609, 19608])).
% 6.99/5.21 tff(19611,plain,
% 6.99/5.21 ((~(v115(constB141) <=> (v116(constB141) | v123(constB141)))) | v115(constB141) | (~(v116(constB141) | v123(constB141)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19612,plain,
% 6.99/5.21 (v115(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19611, 19610, 19602])).
% 6.99/5.21 tff(19613,plain,
% 6.99/5.21 ((v115(constB141) | v124(constB141)) | (~v115(constB141))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19614,plain,
% 6.99/5.21 (v115(constB141) | v124(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19613, 19612])).
% 6.99/5.21 tff(19615,plain,
% 6.99/5.21 ((~(v114(constB141) <=> (v115(constB141) | v124(constB141)))) | v114(constB141) | (~(v115(constB141) | v124(constB141)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19616,plain,
% 6.99/5.21 (v114(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19615, 19614, 19600])).
% 6.99/5.21 tff(19617,plain,
% 6.99/5.21 ((v114(constB141) | v125(constB141)) | (~v114(constB141))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19618,plain,
% 6.99/5.21 (v114(constB141) | v125(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19617, 19616])).
% 6.99/5.21 tff(19619,plain,
% 6.99/5.21 ((~(v113(constB141) <=> (v114(constB141) | v125(constB141)))) | v113(constB141) | (~(v114(constB141) | v125(constB141)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19620,plain,
% 6.99/5.21 (v113(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19619, 19618, 19598])).
% 6.99/5.21 tff(19621,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB141)) <=> v111(constB141))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19622,plain,
% 6.99/5.21 ((~v126(constB141)) <=> v111(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19621, 4761])).
% 6.99/5.21 tff(19623,plain,
% 6.99/5.21 ((~((~v126(constB141)) <=> v111(constB141))) | v126(constB141) | v111(constB141)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19624,plain,
% 6.99/5.21 ((~((~v126(constB141)) <=> v111(constB141))) | v126(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19623, 18185])).
% 6.99/5.21 tff(19625,plain,
% 6.99/5.21 (v126(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19624, 19622])).
% 6.99/5.21 tff(19626,plain,
% 6.99/5.21 ((~((~v113(constB141)) | (~v126(constB141)))) | (~v113(constB141)) | (~v126(constB141))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19627,plain,
% 6.99/5.21 ((~((~v113(constB141)) | (~v126(constB141)))) | (~v113(constB141))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19626, 19625])).
% 6.99/5.21 tff(19628,plain,
% 6.99/5.21 (~((~v113(constB141)) | (~v126(constB141)))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19627, 19620])).
% 6.99/5.21 tff(19629,plain,
% 6.99/5.21 ((~(v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141)))))) | v112(constB141) | ((~v113(constB141)) | (~v126(constB141)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19630,plain,
% 6.99/5.21 (v112(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19629, 19628, 19596])).
% 6.99/5.21 tff(19631,plain,
% 6.99/5.21 ((v111(constB141) | v112(constB141)) | (~v112(constB141))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19632,plain,
% 6.99/5.21 (v111(constB141) | v112(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19631, 19630])).
% 6.99/5.21 tff(19633,plain,
% 6.99/5.21 ((~(v108(constB141) <=> (v111(constB141) | v112(constB141)))) | v108(constB141) | (~(v111(constB141) | v112(constB141)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19634,plain,
% 6.99/5.21 (v108(constB141)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19633, 19632, 19594])).
% 6.99/5.21 tff(19635,plain,
% 6.99/5.21 ((~(v110(constB142) <=> v108(constB141))) | v110(constB142) | (~v108(constB141))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19636,plain,
% 6.99/5.21 (v110(constB142)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19635, 19634, 19592])).
% 6.99/5.21 tff(19637,plain,
% 6.99/5.21 ((~((~v101(constB142)) | (~v110(constB142)))) | (~v101(constB142)) | (~v110(constB142))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19638,plain,
% 6.99/5.21 (~((~v101(constB142)) | (~v110(constB142)))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19637, 19636, 19588])).
% 6.99/5.21 tff(19639,plain,
% 6.99/5.21 ((~(v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142)))))) | v100(constB142) | ((~v101(constB142)) | (~v110(constB142)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19640,plain,
% 6.99/5.21 (v100(constB142)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19639, 19638, 19560])).
% 6.99/5.21 tff(19641,plain,
% 6.99/5.21 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB142)) | (~(((~v90(constB142, 0)) <=> v129(constB142, 0)) | ((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB142)) | (~(((~v90(constB142, 0)) <=> v129(constB142, 0)) | ((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1)))))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19642,plain,
% 6.99/5.21 (((~v100(constB142)) | (~(((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1)) | ((~v90(constB142, 0)) <=> v129(constB142, 0))))) <=> ((~v100(constB142)) | (~(((~v90(constB142, 0)) <=> v129(constB142, 0)) | ((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1)))))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19643,plain,
% 6.99/5.21 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB142)) | (~(((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1)) | ((~v90(constB142, 0)) <=> v129(constB142, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB142)) | (~(((~v90(constB142, 0)) <=> v129(constB142, 0)) | ((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1))))))),
% 6.99/5.21 inference(monotonicity,[status(thm)],[19642])).
% 6.99/5.21 tff(19644,plain,
% 6.99/5.21 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB142)) | (~(((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1)) | ((~v90(constB142, 0)) <=> v129(constB142, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB142)) | (~(((~v90(constB142, 0)) <=> v129(constB142, 0)) | ((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1)))))),
% 6.99/5.21 inference(transitivity,[status(thm)],[19643, 19641])).
% 6.99/5.21 tff(19645,plain,
% 6.99/5.21 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB142)) | (~(((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1)) | ((~v90(constB142, 0)) <=> v129(constB142, 0)))))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19646,plain,
% 6.99/5.21 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB142)) | (~(((~v90(constB142, 0)) <=> v129(constB142, 0)) | ((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1))))),
% 6.99/5.21 inference(modus_ponens,[status(thm)],[19645, 19644])).
% 6.99/5.21 tff(19647,plain,
% 6.99/5.21 ((~v100(constB142)) | (~(((~v90(constB142, 0)) <=> v129(constB142, 0)) | ((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1))))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19646, 4794])).
% 6.99/5.21 tff(19648,plain,
% 6.99/5.21 (~(((~v90(constB142, 0)) <=> v129(constB142, 0)) | ((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1)))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19647, 19640])).
% 6.99/5.21 tff(19649,plain,
% 6.99/5.21 ((((~v90(constB142, 0)) <=> v129(constB142, 0)) | ((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1))) | (~((~v90(constB142, 2)) <=> v129(constB142, 2)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19650,plain,
% 6.99/5.21 (~((~v90(constB142, 2)) <=> v129(constB142, 2))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19649, 19648])).
% 6.99/5.21 tff(19651,plain,
% 6.99/5.21 (((~v90(constB142, 2)) <=> v129(constB142, 2)) | v90(constB142, 2) | (~v129(constB142, 2))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19652,plain,
% 6.99/5.21 (v90(constB142, 2)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19651, 19650, 19556])).
% 6.99/5.21 tff(19653,plain,
% 6.99/5.21 (((~v90(constB143, 2)) <=> v90(constB142, 2)) | v90(constB143, 2) | (~v90(constB142, 2))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19654,plain,
% 6.99/5.21 (v90(constB143, 2)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19653, 19652, 18169])).
% 6.99/5.21 tff(19655,plain,
% 6.99/5.21 ((((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 0)) <=> v90(constB142, 0))) | (~((~v90(constB143, 0)) <=> v90(constB142, 0)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19656,plain,
% 6.99/5.21 (~((~v90(constB143, 0)) <=> v90(constB142, 0))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19655, 18167])).
% 6.99/5.21 tff(19657,plain,
% 6.99/5.21 ((((~v129(constB142, 2)) <=> v127(constB141, 2)) | ((~v129(constB142, 1)) <=> v127(constB141, 1)) | ((~v129(constB142, 0)) <=> v127(constB141, 0))) | (~((~v129(constB142, 0)) <=> v127(constB141, 0)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19658,plain,
% 6.99/5.21 (~((~v129(constB142, 0)) <=> v127(constB141, 0))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19657, 18176])).
% 6.99/5.21 tff(19659,plain,
% 6.99/5.21 ((((~v127(constB141, 2)) <=> v130(constB141, 2)) | ((~v127(constB141, 1)) <=> v130(constB141, 1)) | ((~v127(constB141, 0)) <=> v130(constB141, 0))) | (~((~v127(constB141, 0)) <=> v130(constB141, 0)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19660,plain,
% 6.99/5.21 (~((~v127(constB141, 0)) <=> v130(constB141, 0))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19659, 18190])).
% 6.99/5.21 tff(19661,plain,
% 6.99/5.21 ((v130(constB141, 1) | v130(constB141, 0) | (~v130(constB141, 2))) | (~v130(constB141, 0))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19662,plain,
% 6.99/5.21 (~v130(constB141, 0)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19661, 19550])).
% 6.99/5.21 tff(19663,plain,
% 6.99/5.21 (((~v127(constB141, 0)) <=> v130(constB141, 0)) | (~v127(constB141, 0)) | v130(constB141, 0)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19664,plain,
% 6.99/5.21 (~v127(constB141, 0)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19663, 19662, 19660])).
% 6.99/5.21 tff(19665,plain,
% 6.99/5.21 (((~v129(constB142, 0)) <=> v127(constB141, 0)) | (~v129(constB142, 0)) | v127(constB141, 0)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19666,plain,
% 6.99/5.21 (~v129(constB142, 0)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19665, 19664, 19658])).
% 6.99/5.21 tff(19667,plain,
% 6.99/5.21 ((((~v90(constB142, 0)) <=> v129(constB142, 0)) | ((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1))) | (~((~v90(constB142, 0)) <=> v129(constB142, 0)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19668,plain,
% 6.99/5.21 (~((~v90(constB142, 0)) <=> v129(constB142, 0))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19667, 19648])).
% 6.99/5.21 tff(19669,plain,
% 6.99/5.21 (((~v90(constB142, 0)) <=> v129(constB142, 0)) | (~v90(constB142, 0)) | v129(constB142, 0)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19670,plain,
% 6.99/5.21 (~v90(constB142, 0)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19669, 19668, 19666])).
% 6.99/5.21 tff(19671,plain,
% 6.99/5.21 (((~v90(constB143, 0)) <=> v90(constB142, 0)) | (~v90(constB143, 0)) | v90(constB142, 0)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19672,plain,
% 6.99/5.21 (~v90(constB143, 0)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19671, 19670, 19656])).
% 6.99/5.21 tff(19673,plain,
% 6.99/5.21 ((((~v90(constB143, 1)) <=> v90(constB142, 1)) | ((~v90(constB143, 2)) <=> v90(constB142, 2)) | ((~v90(constB143, 0)) <=> v90(constB142, 0))) | (~((~v90(constB143, 1)) <=> v90(constB142, 1)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19674,plain,
% 6.99/5.21 (~((~v90(constB143, 1)) <=> v90(constB142, 1))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19673, 18167])).
% 6.99/5.21 tff(19675,plain,
% 6.99/5.21 ((((~v129(constB142, 2)) <=> v127(constB141, 2)) | ((~v129(constB142, 1)) <=> v127(constB141, 1)) | ((~v129(constB142, 0)) <=> v127(constB141, 0))) | (~((~v129(constB142, 1)) <=> v127(constB141, 1)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19676,plain,
% 6.99/5.21 (~((~v129(constB142, 1)) <=> v127(constB141, 1))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19675, 18176])).
% 6.99/5.21 tff(19677,plain,
% 6.99/5.21 ((((~v127(constB141, 2)) <=> v130(constB141, 2)) | ((~v127(constB141, 1)) <=> v130(constB141, 1)) | ((~v127(constB141, 0)) <=> v130(constB141, 0))) | (~((~v127(constB141, 1)) <=> v130(constB141, 1)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19678,plain,
% 6.99/5.21 (~((~v127(constB141, 1)) <=> v130(constB141, 1))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19677, 18190])).
% 6.99/5.21 tff(19679,plain,
% 6.99/5.21 ((v130(constB141, 1) | v130(constB141, 0) | (~v130(constB141, 2))) | (~v130(constB141, 1))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19680,plain,
% 6.99/5.21 (~v130(constB141, 1)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19679, 19550])).
% 6.99/5.21 tff(19681,plain,
% 6.99/5.21 (((~v127(constB141, 1)) <=> v130(constB141, 1)) | (~v127(constB141, 1)) | v130(constB141, 1)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19682,plain,
% 6.99/5.21 (~v127(constB141, 1)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19681, 19680, 19678])).
% 6.99/5.21 tff(19683,plain,
% 6.99/5.21 (((~v129(constB142, 1)) <=> v127(constB141, 1)) | (~v129(constB142, 1)) | v127(constB141, 1)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19684,plain,
% 6.99/5.21 (~v129(constB142, 1)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19683, 19682, 19676])).
% 6.99/5.21 tff(19685,plain,
% 6.99/5.21 ((((~v90(constB142, 0)) <=> v129(constB142, 0)) | ((~v90(constB142, 2)) <=> v129(constB142, 2)) | ((~v90(constB142, 1)) <=> v129(constB142, 1))) | (~((~v90(constB142, 1)) <=> v129(constB142, 1)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19686,plain,
% 6.99/5.21 (~((~v90(constB142, 1)) <=> v129(constB142, 1))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19685, 19648])).
% 6.99/5.21 tff(19687,plain,
% 6.99/5.21 (((~v90(constB142, 1)) <=> v129(constB142, 1)) | (~v90(constB142, 1)) | v129(constB142, 1)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19688,plain,
% 6.99/5.21 (~v90(constB142, 1)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19687, 19686, 19684])).
% 6.99/5.21 tff(19689,plain,
% 6.99/5.21 (((~v90(constB143, 1)) <=> v90(constB142, 1)) | (~v90(constB143, 1)) | v90(constB142, 1)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19690,plain,
% 6.99/5.21 (~v90(constB143, 1)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19689, 19688, 19674])).
% 6.99/5.21 tff(19691,plain,
% 6.99/5.21 ((~(v90(constB143, 1) | v90(constB143, 0) | (~v90(constB143, 2)))) | v90(constB143, 1) | v90(constB143, 0) | (~v90(constB143, 2))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19692,plain,
% 6.99/5.21 (~(v90(constB143, 1) | v90(constB143, 0) | (~v90(constB143, 2)))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19691, 19690, 19672, 19654])).
% 6.99/5.21 tff(19693,plain,
% 6.99/5.21 ((~(v123(constB143) <=> (~(v90(constB143, 1) | v90(constB143, 0) | (~v90(constB143, 2)))))) | v123(constB143) | (v90(constB143, 1) | v90(constB143, 0) | (~v90(constB143, 2)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19694,plain,
% 6.99/5.21 (v123(constB143)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19693, 19692, 18133])).
% 6.99/5.21 tff(19695,plain,
% 6.99/5.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB143)) | (~(v130(constB143, 0) | (~v130(constB143, 2)) | (~v130(constB143, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB143)) | (~(v130(constB143, 0) | (~v130(constB143, 2)) | (~v130(constB143, 1)))))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19696,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB143)) | (~(v130(constB143, 0) | (~v130(constB143, 2)) | (~v130(constB143, 1)))))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19697,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB143)) | (~(v130(constB143, 0) | (~v130(constB143, 2)) | (~v130(constB143, 1))))),
% 6.99/5.21 inference(modus_ponens,[status(thm)],[19696, 19695])).
% 6.99/5.21 tff(19698,plain,
% 6.99/5.21 ((~v123(constB143)) | (~(v130(constB143, 0) | (~v130(constB143, 2)) | (~v130(constB143, 1))))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19697, 4861])).
% 6.99/5.21 tff(19699,plain,
% 6.99/5.21 (~(v130(constB143, 0) | (~v130(constB143, 2)) | (~v130(constB143, 1)))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19698, 19694])).
% 6.99/5.21 tff(19700,plain,
% 6.99/5.21 ((v130(constB143, 0) | (~v130(constB143, 2)) | (~v130(constB143, 1))) | v130(constB143, 2)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19701,plain,
% 6.99/5.21 (v130(constB143, 2)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19700, 19699])).
% 6.99/5.21 tff(19702,plain,
% 6.99/5.21 (((~v127(constB143, 2)) <=> v130(constB143, 2)) | v127(constB143, 2) | (~v130(constB143, 2))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19703,plain,
% 6.99/5.21 (v127(constB143, 2)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19702, 19701, 18126])).
% 6.99/5.21 tff(19704,plain,
% 6.99/5.21 (((~v129(constB144, 2)) <=> v127(constB143, 2)) | v129(constB144, 2) | (~v127(constB143, 2))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19705,plain,
% 6.99/5.21 (v129(constB144, 2)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19704, 19703, 18112])).
% 6.99/5.21 tff(19706,plain,
% 6.99/5.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19707,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19708,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144)))))),
% 6.99/5.21 inference(modus_ponens,[status(thm)],[19707, 19706])).
% 6.99/5.21 tff(19709,plain,
% 6.99/5.21 (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19708, 18106, 273])).
% 6.99/5.21 tff(19710,plain,
% 6.99/5.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19711,plain,
% 6.99/5.21 (((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144)))))) <=> ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19712,plain,
% 6.99/5.21 (((~![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) <=> (~((~v1(constB144)) | (~v102(constB144)))))))),
% 6.99/5.21 inference(monotonicity,[status(thm)],[19711])).
% 6.99/5.21 tff(19713,plain,
% 6.99/5.21 (((~![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) <=> (~((~v1(constB144)) | (~v102(constB144))))))),
% 6.99/5.21 inference(transitivity,[status(thm)],[19712, 19710])).
% 6.99/5.21 tff(19714,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144))))))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19715,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144)))))),
% 6.99/5.21 inference(modus_ponens,[status(thm)],[19714, 19713])).
% 6.99/5.21 tff(19716,plain,
% 6.99/5.21 (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19715, 18106, 293])).
% 6.99/5.21 tff(19717,plain,
% 6.99/5.21 (((~![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)))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19718,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19719,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144))),
% 6.99/5.21 inference(modus_ponens,[status(thm)],[19718, 19717])).
% 6.99/5.21 tff(19720,plain,
% 6.99/5.21 ((~v102(constB144)) <=> v104(constB144)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19719, 18106, 4609])).
% 6.99/5.21 tff(19721,plain,
% 6.99/5.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143)))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19722,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19723,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143))),
% 6.99/5.21 inference(modus_ponens,[status(thm)],[19722, 19721])).
% 6.99/5.21 tff(19724,plain,
% 6.99/5.21 (v104(constB144) <=> v1(constB143)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19723, 18106, 4623])).
% 6.99/5.21 tff(19725,plain,
% 6.99/5.21 ((~(v104(constB144) <=> v1(constB143))) | (~v104(constB144)) | v1(constB143)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19726,plain,
% 6.99/5.21 ((~(v104(constB144) <=> v1(constB143))) | (~v104(constB144))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19725, 18150])).
% 6.99/5.21 tff(19727,plain,
% 6.99/5.21 (~v104(constB144)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19726, 19724])).
% 6.99/5.21 tff(19728,plain,
% 6.99/5.21 ((~((~v102(constB144)) <=> v104(constB144))) | v102(constB144) | v104(constB144)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19729,plain,
% 6.99/5.21 (v102(constB144)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19728, 19727, 19720])).
% 6.99/5.21 tff(19730,plain,
% 6.99/5.21 (v1(constB144) <=> v1(constB144)),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19731,axiom,(v1(constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_144')).
% 6.99/5.21 tff(19732,plain,
% 6.99/5.21 (v1(constB144)),
% 6.99/5.21 inference(modus_ponens,[status(thm)],[19731, 19730])).
% 6.99/5.21 tff(19733,plain,
% 6.99/5.21 ((~((~v1(constB144)) | (~v102(constB144)))) | (~v1(constB144)) | (~v102(constB144))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19734,plain,
% 6.99/5.21 ((~((~v1(constB144)) | (~v102(constB144)))) | (~v102(constB144))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19733, 19732])).
% 6.99/5.21 tff(19735,plain,
% 6.99/5.21 (~((~v1(constB144)) | (~v102(constB144)))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19734, 19729])).
% 6.99/5.21 tff(19736,plain,
% 6.99/5.21 ((~(v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144)))))) | v101(constB144) | ((~v1(constB144)) | (~v102(constB144)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19737,plain,
% 6.99/5.21 (v101(constB144)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19736, 19735, 19716])).
% 6.99/5.21 tff(19738,plain,
% 6.99/5.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143)))),
% 6.99/5.21 inference(rewrite,[status(thm)],[])).
% 6.99/5.21 tff(19739,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19740,plain,
% 6.99/5.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143))),
% 6.99/5.21 inference(modus_ponens,[status(thm)],[19739, 19738])).
% 6.99/5.21 tff(19741,plain,
% 6.99/5.21 (v110(constB144) <=> v108(constB143)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19740, 18106, 4650])).
% 6.99/5.21 tff(19742,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB143) <=> (v111(constB143) | v112(constB143)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19743,plain,
% 6.99/5.21 (v108(constB143) <=> (v111(constB143) | v112(constB143))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19742, 4661])).
% 6.99/5.21 tff(19744,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143)))))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19745,plain,
% 6.99/5.21 (v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143))))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19744, 4673])).
% 6.99/5.21 tff(19746,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB143) <=> (v114(constB143) | v125(constB143)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19747,plain,
% 6.99/5.21 (v113(constB143) <=> (v114(constB143) | v125(constB143))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19746, 4682])).
% 6.99/5.21 tff(19748,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB143) <=> (v115(constB143) | v124(constB143)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19749,plain,
% 6.99/5.21 (v114(constB143) <=> (v115(constB143) | v124(constB143))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19748, 4691])).
% 6.99/5.21 tff(19750,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB143) <=> (v116(constB143) | v123(constB143)))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19751,plain,
% 6.99/5.21 (v115(constB143) <=> (v116(constB143) | v123(constB143))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19750, 4700])).
% 6.99/5.21 tff(19752,plain,
% 6.99/5.21 ((v116(constB143) | v123(constB143)) | (~v123(constB143))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19753,plain,
% 6.99/5.21 (v116(constB143) | v123(constB143)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19752, 19694])).
% 6.99/5.21 tff(19754,plain,
% 6.99/5.21 ((~(v115(constB143) <=> (v116(constB143) | v123(constB143)))) | v115(constB143) | (~(v116(constB143) | v123(constB143)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19755,plain,
% 6.99/5.21 (v115(constB143)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19754, 19753, 19751])).
% 6.99/5.21 tff(19756,plain,
% 6.99/5.21 ((v115(constB143) | v124(constB143)) | (~v115(constB143))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19757,plain,
% 6.99/5.21 (v115(constB143) | v124(constB143)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19756, 19755])).
% 6.99/5.21 tff(19758,plain,
% 6.99/5.21 ((~(v114(constB143) <=> (v115(constB143) | v124(constB143)))) | v114(constB143) | (~(v115(constB143) | v124(constB143)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19759,plain,
% 6.99/5.21 (v114(constB143)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19758, 19757, 19749])).
% 6.99/5.21 tff(19760,plain,
% 6.99/5.21 ((v114(constB143) | v125(constB143)) | (~v114(constB143))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19761,plain,
% 6.99/5.21 (v114(constB143) | v125(constB143)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19760, 19759])).
% 6.99/5.21 tff(19762,plain,
% 6.99/5.21 ((~(v113(constB143) <=> (v114(constB143) | v125(constB143)))) | v113(constB143) | (~(v114(constB143) | v125(constB143)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19763,plain,
% 6.99/5.21 (v113(constB143)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19762, 19761, 19747])).
% 6.99/5.21 tff(19764,plain,
% 6.99/5.21 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB143)) <=> v111(constB143))),
% 6.99/5.21 inference(quant_inst,[status(thm)],[])).
% 6.99/5.21 tff(19765,plain,
% 6.99/5.21 ((~v126(constB143)) <=> v111(constB143)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19764, 4761])).
% 6.99/5.21 tff(19766,plain,
% 6.99/5.21 ((~((~v126(constB143)) <=> v111(constB143))) | v126(constB143) | v111(constB143)),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19767,plain,
% 6.99/5.21 ((~((~v126(constB143)) <=> v111(constB143))) | v126(constB143)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19766, 18119])).
% 6.99/5.21 tff(19768,plain,
% 6.99/5.21 (v126(constB143)),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19767, 19765])).
% 6.99/5.21 tff(19769,plain,
% 6.99/5.21 ((~((~v113(constB143)) | (~v126(constB143)))) | (~v113(constB143)) | (~v126(constB143))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.21 tff(19770,plain,
% 6.99/5.21 ((~((~v113(constB143)) | (~v126(constB143)))) | (~v113(constB143))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19769, 19768])).
% 6.99/5.21 tff(19771,plain,
% 6.99/5.21 (~((~v113(constB143)) | (~v126(constB143)))),
% 6.99/5.21 inference(unit_resolution,[status(thm)],[19770, 19763])).
% 6.99/5.21 tff(19772,plain,
% 6.99/5.21 ((~(v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143)))))) | v112(constB143) | ((~v113(constB143)) | (~v126(constB143)))),
% 6.99/5.21 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19773,plain,
% 6.99/5.22 (v112(constB143)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19772, 19771, 19745])).
% 6.99/5.22 tff(19774,plain,
% 6.99/5.22 ((v111(constB143) | v112(constB143)) | (~v112(constB143))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19775,plain,
% 6.99/5.22 (v111(constB143) | v112(constB143)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19774, 19773])).
% 6.99/5.22 tff(19776,plain,
% 6.99/5.22 ((~(v108(constB143) <=> (v111(constB143) | v112(constB143)))) | v108(constB143) | (~(v111(constB143) | v112(constB143)))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19777,plain,
% 6.99/5.22 (v108(constB143)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19776, 19775, 19743])).
% 6.99/5.22 tff(19778,plain,
% 6.99/5.22 ((~(v110(constB144) <=> v108(constB143))) | v110(constB144) | (~v108(constB143))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19779,plain,
% 6.99/5.22 (v110(constB144)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19778, 19777, 19741])).
% 6.99/5.22 tff(19780,plain,
% 6.99/5.22 ((~((~v101(constB144)) | (~v110(constB144)))) | (~v101(constB144)) | (~v110(constB144))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19781,plain,
% 6.99/5.22 (~((~v101(constB144)) | (~v110(constB144)))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19780, 19779, 19737])).
% 6.99/5.22 tff(19782,plain,
% 6.99/5.22 ((~(v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144)))))) | v100(constB144) | ((~v101(constB144)) | (~v110(constB144)))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19783,plain,
% 6.99/5.22 (v100(constB144)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19782, 19781, 19709])).
% 6.99/5.22 tff(19784,plain,
% 6.99/5.22 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB144)) | (~(((~v90(constB144, 2)) <=> v129(constB144, 2)) | ((~v90(constB144, 1)) <=> v129(constB144, 1)) | ((~v90(constB144, 0)) <=> v129(constB144, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB144)) | (~(((~v90(constB144, 2)) <=> v129(constB144, 2)) | ((~v90(constB144, 1)) <=> v129(constB144, 1)) | ((~v90(constB144, 0)) <=> v129(constB144, 0)))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19785,plain,
% 6.99/5.22 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB144)) | (~(((~v90(constB144, 2)) <=> v129(constB144, 2)) | ((~v90(constB144, 1)) <=> v129(constB144, 1)) | ((~v90(constB144, 0)) <=> v129(constB144, 0)))))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19786,plain,
% 6.99/5.22 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB144)) | (~(((~v90(constB144, 2)) <=> v129(constB144, 2)) | ((~v90(constB144, 1)) <=> v129(constB144, 1)) | ((~v90(constB144, 0)) <=> v129(constB144, 0))))),
% 6.99/5.22 inference(modus_ponens,[status(thm)],[19785, 19784])).
% 6.99/5.22 tff(19787,plain,
% 6.99/5.22 ((~v100(constB144)) | (~(((~v90(constB144, 2)) <=> v129(constB144, 2)) | ((~v90(constB144, 1)) <=> v129(constB144, 1)) | ((~v90(constB144, 0)) <=> v129(constB144, 0))))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19786, 4794])).
% 6.99/5.22 tff(19788,plain,
% 6.99/5.22 (~(((~v90(constB144, 2)) <=> v129(constB144, 2)) | ((~v90(constB144, 1)) <=> v129(constB144, 1)) | ((~v90(constB144, 0)) <=> v129(constB144, 0)))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19787, 19783])).
% 6.99/5.22 tff(19789,plain,
% 6.99/5.22 ((((~v90(constB144, 2)) <=> v129(constB144, 2)) | ((~v90(constB144, 1)) <=> v129(constB144, 1)) | ((~v90(constB144, 0)) <=> v129(constB144, 0))) | (~((~v90(constB144, 2)) <=> v129(constB144, 2)))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19790,plain,
% 6.99/5.22 (~((~v90(constB144, 2)) <=> v129(constB144, 2))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19789, 19788])).
% 6.99/5.22 tff(19791,plain,
% 6.99/5.22 (((~v90(constB144, 2)) <=> v129(constB144, 2)) | v90(constB144, 2) | (~v129(constB144, 2))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19792,plain,
% 6.99/5.22 (v90(constB144, 2)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19791, 19790, 19705])).
% 6.99/5.22 tff(19793,plain,
% 6.99/5.22 (((~v90(constB145, 2)) <=> v90(constB144, 2)) | v90(constB145, 2) | (~v90(constB144, 2))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19794,plain,
% 6.99/5.22 (v90(constB145, 2)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19793, 19792, 18103])).
% 6.99/5.22 tff(19795,plain,
% 6.99/5.22 ((v90(constB145, 0) | v90(constB145, 1) | v90(constB145, 2)) | (~v90(constB145, 2))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19796,plain,
% 6.99/5.22 (v90(constB145, 0) | v90(constB145, 1) | v90(constB145, 2)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19795, 19794])).
% 6.99/5.22 tff(19797,plain,
% 6.99/5.22 ((~(v119(constB145) <=> (~(v90(constB145, 0) | v90(constB145, 1) | v90(constB145, 2))))) | (~v119(constB145)) | (~(v90(constB145, 0) | v90(constB145, 1) | v90(constB145, 2)))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19798,plain,
% 6.99/5.22 (~v119(constB145)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19797, 19796, 18067])).
% 6.99/5.22 tff(19799,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB145) <=> (~(v90(constB145, 1) | (~v90(constB145, 2)) | (~v90(constB145, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB145) <=> (~(v90(constB145, 1) | (~v90(constB145, 2)) | (~v90(constB145, 0))))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19800,plain,
% 6.99/5.22 ((v124(constB145) <=> (~(v90(constB145, 1) | (~v90(constB145, 0)) | (~v90(constB145, 2))))) <=> (v124(constB145) <=> (~(v90(constB145, 1) | (~v90(constB145, 2)) | (~v90(constB145, 0)))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19801,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB145) <=> (~(v90(constB145, 1) | (~v90(constB145, 0)) | (~v90(constB145, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB145) <=> (~(v90(constB145, 1) | (~v90(constB145, 2)) | (~v90(constB145, 0))))))),
% 6.99/5.22 inference(monotonicity,[status(thm)],[19800])).
% 6.99/5.22 tff(19802,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB145) <=> (~(v90(constB145, 1) | (~v90(constB145, 0)) | (~v90(constB145, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB145) <=> (~(v90(constB145, 1) | (~v90(constB145, 2)) | (~v90(constB145, 0))))))),
% 6.99/5.22 inference(transitivity,[status(thm)],[19801, 19799])).
% 6.99/5.22 tff(19803,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB145) <=> (~(v90(constB145, 1) | (~v90(constB145, 0)) | (~v90(constB145, 2)))))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19804,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB145) <=> (~(v90(constB145, 1) | (~v90(constB145, 2)) | (~v90(constB145, 0)))))),
% 6.99/5.22 inference(modus_ponens,[status(thm)],[19803, 19802])).
% 6.99/5.22 tff(19805,plain,
% 6.99/5.22 (v124(constB145) <=> (~(v90(constB145, 1) | (~v90(constB145, 2)) | (~v90(constB145, 0))))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19804, 4978])).
% 6.99/5.22 tff(19806,plain,
% 6.99/5.22 ((((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 0)) <=> v90(constB144, 0))) | (~((~v90(constB145, 1)) <=> v90(constB144, 1)))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19807,plain,
% 6.99/5.22 (~((~v90(constB145, 1)) <=> v90(constB144, 1))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19806, 18101])).
% 6.99/5.22 tff(19808,plain,
% 6.99/5.22 ((((~v129(constB144, 2)) <=> v127(constB143, 2)) | ((~v129(constB144, 1)) <=> v127(constB143, 1)) | ((~v129(constB144, 0)) <=> v127(constB143, 0))) | (~((~v129(constB144, 1)) <=> v127(constB143, 1)))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19809,plain,
% 6.99/5.22 (~((~v129(constB144, 1)) <=> v127(constB143, 1))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19808, 18110])).
% 6.99/5.22 tff(19810,plain,
% 6.99/5.22 ((((~v127(constB143, 2)) <=> v130(constB143, 2)) | ((~v127(constB143, 1)) <=> v130(constB143, 1)) | ((~v127(constB143, 0)) <=> v130(constB143, 0))) | (~((~v127(constB143, 1)) <=> v130(constB143, 1)))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19811,plain,
% 6.99/5.22 (~((~v127(constB143, 1)) <=> v130(constB143, 1))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19810, 18124])).
% 6.99/5.22 tff(19812,plain,
% 6.99/5.22 ((v130(constB143, 0) | (~v130(constB143, 2)) | (~v130(constB143, 1))) | v130(constB143, 1)),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19813,plain,
% 6.99/5.22 (v130(constB143, 1)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19812, 19699])).
% 6.99/5.22 tff(19814,plain,
% 6.99/5.22 (((~v127(constB143, 1)) <=> v130(constB143, 1)) | v127(constB143, 1) | (~v130(constB143, 1))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19815,plain,
% 6.99/5.22 (v127(constB143, 1)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19814, 19813, 19811])).
% 6.99/5.22 tff(19816,plain,
% 6.99/5.22 (((~v129(constB144, 1)) <=> v127(constB143, 1)) | v129(constB144, 1) | (~v127(constB143, 1))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19817,plain,
% 6.99/5.22 (v129(constB144, 1)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19816, 19815, 19809])).
% 6.99/5.22 tff(19818,plain,
% 6.99/5.22 ((((~v90(constB144, 2)) <=> v129(constB144, 2)) | ((~v90(constB144, 1)) <=> v129(constB144, 1)) | ((~v90(constB144, 0)) <=> v129(constB144, 0))) | (~((~v90(constB144, 1)) <=> v129(constB144, 1)))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19819,plain,
% 6.99/5.22 (~((~v90(constB144, 1)) <=> v129(constB144, 1))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19818, 19788])).
% 6.99/5.22 tff(19820,plain,
% 6.99/5.22 (((~v90(constB144, 1)) <=> v129(constB144, 1)) | v90(constB144, 1) | (~v129(constB144, 1))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19821,plain,
% 6.99/5.22 (v90(constB144, 1)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19820, 19819, 19817])).
% 6.99/5.22 tff(19822,plain,
% 6.99/5.22 (((~v90(constB145, 1)) <=> v90(constB144, 1)) | v90(constB145, 1) | (~v90(constB144, 1))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19823,plain,
% 6.99/5.22 (v90(constB145, 1)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19822, 19821, 19807])).
% 6.99/5.22 tff(19824,plain,
% 6.99/5.22 ((v90(constB145, 1) | (~v90(constB145, 2)) | (~v90(constB145, 0))) | (~v90(constB145, 1))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19825,plain,
% 6.99/5.22 (v90(constB145, 1) | (~v90(constB145, 2)) | (~v90(constB145, 0))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19824, 19823])).
% 6.99/5.22 tff(19826,plain,
% 6.99/5.22 ((~(v124(constB145) <=> (~(v90(constB145, 1) | (~v90(constB145, 2)) | (~v90(constB145, 0)))))) | (~v124(constB145)) | (~(v90(constB145, 1) | (~v90(constB145, 2)) | (~v90(constB145, 0))))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19827,plain,
% 6.99/5.22 (~v124(constB145)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19826, 19825, 19805])).
% 6.99/5.22 tff(19828,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB145) <=> (~(v90(constB145, 1) | v90(constB145, 0) | (~v90(constB145, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB145) <=> (~(v90(constB145, 1) | v90(constB145, 0) | (~v90(constB145, 2))))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19829,plain,
% 6.99/5.22 ((v123(constB145) <=> (~(v90(constB145, 0) | v90(constB145, 1) | (~v90(constB145, 2))))) <=> (v123(constB145) <=> (~(v90(constB145, 1) | v90(constB145, 0) | (~v90(constB145, 2)))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19830,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB145) <=> (~(v90(constB145, 0) | v90(constB145, 1) | (~v90(constB145, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB145) <=> (~(v90(constB145, 1) | v90(constB145, 0) | (~v90(constB145, 2))))))),
% 6.99/5.22 inference(monotonicity,[status(thm)],[19829])).
% 6.99/5.22 tff(19831,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB145) <=> (~(v90(constB145, 0) | v90(constB145, 1) | (~v90(constB145, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB145) <=> (~(v90(constB145, 1) | v90(constB145, 0) | (~v90(constB145, 2))))))),
% 6.99/5.22 inference(transitivity,[status(thm)],[19830, 19828])).
% 6.99/5.22 tff(19832,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB145) <=> (~(v90(constB145, 0) | v90(constB145, 1) | (~v90(constB145, 2)))))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19833,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB145) <=> (~(v90(constB145, 1) | v90(constB145, 0) | (~v90(constB145, 2)))))),
% 6.99/5.22 inference(modus_ponens,[status(thm)],[19832, 19831])).
% 6.99/5.22 tff(19834,plain,
% 6.99/5.22 (v123(constB145) <=> (~(v90(constB145, 1) | v90(constB145, 0) | (~v90(constB145, 2))))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19833, 565])).
% 6.99/5.22 tff(19835,plain,
% 6.99/5.22 ((v90(constB145, 1) | v90(constB145, 0) | (~v90(constB145, 2))) | (~v90(constB145, 1))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19836,plain,
% 6.99/5.22 (v90(constB145, 1) | v90(constB145, 0) | (~v90(constB145, 2))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19835, 19823])).
% 6.99/5.22 tff(19837,plain,
% 6.99/5.22 ((~(v123(constB145) <=> (~(v90(constB145, 1) | v90(constB145, 0) | (~v90(constB145, 2)))))) | (~v123(constB145)) | (~(v90(constB145, 1) | v90(constB145, 0) | (~v90(constB145, 2))))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19838,plain,
% 6.99/5.22 (~v123(constB145)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19837, 19836, 19834])).
% 6.99/5.22 tff(19839,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB145) <=> (~(v90(constB145, 2) | (~v90(constB145, 1)) | (~v90(constB145, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB145) <=> (~(v90(constB145, 2) | (~v90(constB145, 1)) | (~v90(constB145, 0))))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19840,plain,
% 6.99/5.22 ((v122(constB145) <=> (~(v90(constB145, 2) | (~v90(constB145, 0)) | (~v90(constB145, 1))))) <=> (v122(constB145) <=> (~(v90(constB145, 2) | (~v90(constB145, 1)) | (~v90(constB145, 0)))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19841,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB145) <=> (~(v90(constB145, 2) | (~v90(constB145, 0)) | (~v90(constB145, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB145) <=> (~(v90(constB145, 2) | (~v90(constB145, 1)) | (~v90(constB145, 0))))))),
% 6.99/5.22 inference(monotonicity,[status(thm)],[19840])).
% 6.99/5.22 tff(19842,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB145) <=> (~(v90(constB145, 2) | (~v90(constB145, 0)) | (~v90(constB145, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB145) <=> (~(v90(constB145, 2) | (~v90(constB145, 1)) | (~v90(constB145, 0))))))),
% 6.99/5.22 inference(transitivity,[status(thm)],[19841, 19839])).
% 6.99/5.22 tff(19843,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB145) <=> (~(v90(constB145, 2) | (~v90(constB145, 0)) | (~v90(constB145, 1)))))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19844,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB145) <=> (~(v90(constB145, 2) | (~v90(constB145, 1)) | (~v90(constB145, 0)))))),
% 6.99/5.22 inference(modus_ponens,[status(thm)],[19843, 19842])).
% 6.99/5.22 tff(19845,plain,
% 6.99/5.22 (v122(constB145) <=> (~(v90(constB145, 2) | (~v90(constB145, 1)) | (~v90(constB145, 0))))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19844, 644])).
% 6.99/5.22 tff(19846,plain,
% 6.99/5.22 ((v90(constB145, 2) | (~v90(constB145, 1)) | (~v90(constB145, 0))) | (~v90(constB145, 2))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19847,plain,
% 6.99/5.22 (v90(constB145, 2) | (~v90(constB145, 1)) | (~v90(constB145, 0))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19846, 19794])).
% 6.99/5.22 tff(19848,plain,
% 6.99/5.22 ((~(v122(constB145) <=> (~(v90(constB145, 2) | (~v90(constB145, 1)) | (~v90(constB145, 0)))))) | (~v122(constB145)) | (~(v90(constB145, 2) | (~v90(constB145, 1)) | (~v90(constB145, 0))))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19849,plain,
% 6.99/5.22 (~v122(constB145)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19848, 19847, 19845])).
% 6.99/5.22 tff(19850,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB145) <=> (~(v90(constB145, 2) | v90(constB145, 0) | (~v90(constB145, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB145) <=> (~(v90(constB145, 2) | v90(constB145, 0) | (~v90(constB145, 1))))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19851,plain,
% 6.99/5.22 ((v121(constB145) <=> (~(v90(constB145, 0) | v90(constB145, 2) | (~v90(constB145, 1))))) <=> (v121(constB145) <=> (~(v90(constB145, 2) | v90(constB145, 0) | (~v90(constB145, 1)))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19852,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB145) <=> (~(v90(constB145, 0) | v90(constB145, 2) | (~v90(constB145, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB145) <=> (~(v90(constB145, 2) | v90(constB145, 0) | (~v90(constB145, 1))))))),
% 6.99/5.22 inference(monotonicity,[status(thm)],[19851])).
% 6.99/5.22 tff(19853,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB145) <=> (~(v90(constB145, 0) | v90(constB145, 2) | (~v90(constB145, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB145) <=> (~(v90(constB145, 2) | v90(constB145, 0) | (~v90(constB145, 1))))))),
% 6.99/5.22 inference(transitivity,[status(thm)],[19852, 19850])).
% 6.99/5.22 tff(19854,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB145) <=> (~(v90(constB145, 0) | v90(constB145, 2) | (~v90(constB145, 1)))))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19855,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB145) <=> (~(v90(constB145, 2) | v90(constB145, 0) | (~v90(constB145, 1)))))),
% 6.99/5.22 inference(modus_ponens,[status(thm)],[19854, 19853])).
% 6.99/5.22 tff(19856,plain,
% 6.99/5.22 (v121(constB145) <=> (~(v90(constB145, 2) | v90(constB145, 0) | (~v90(constB145, 1))))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19855, 723])).
% 6.99/5.22 tff(19857,plain,
% 6.99/5.22 ((v90(constB145, 2) | v90(constB145, 0) | (~v90(constB145, 1))) | (~v90(constB145, 2))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19858,plain,
% 6.99/5.22 (v90(constB145, 2) | v90(constB145, 0) | (~v90(constB145, 1))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19857, 19794])).
% 6.99/5.22 tff(19859,plain,
% 6.99/5.22 ((~(v121(constB145) <=> (~(v90(constB145, 2) | v90(constB145, 0) | (~v90(constB145, 1)))))) | (~v121(constB145)) | (~(v90(constB145, 2) | v90(constB145, 0) | (~v90(constB145, 1))))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19860,plain,
% 6.99/5.22 (~v121(constB145)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19859, 19858, 19856])).
% 6.99/5.22 tff(19861,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB145) <=> (~(v90(constB145, 1) | v90(constB145, 2) | (~v90(constB145, 0)))))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19862,plain,
% 6.99/5.22 (v120(constB145) <=> (~(v90(constB145, 1) | v90(constB145, 2) | (~v90(constB145, 0))))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19861, 417])).
% 6.99/5.22 tff(19863,plain,
% 6.99/5.22 ((v90(constB145, 1) | v90(constB145, 2) | (~v90(constB145, 0))) | (~v90(constB145, 2))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19864,plain,
% 6.99/5.22 (v90(constB145, 1) | v90(constB145, 2) | (~v90(constB145, 0))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19863, 19794])).
% 6.99/5.22 tff(19865,plain,
% 6.99/5.22 ((~(v120(constB145) <=> (~(v90(constB145, 1) | v90(constB145, 2) | (~v90(constB145, 0)))))) | (~v120(constB145)) | (~(v90(constB145, 1) | v90(constB145, 2) | (~v90(constB145, 0))))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19866,plain,
% 6.99/5.22 (~v120(constB145)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19865, 19864, 19862])).
% 6.99/5.22 tff(19867,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0)))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19868,plain,
% 6.99/5.22 ((v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~(v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0))))) <=> (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0)))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19869,plain,
% 6.99/5.22 ((~(v130(constB145, 1) | v130(constB145, 2) | (~v130(constB145, 0)))) <=> (~(v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19870,plain,
% 6.99/5.22 ((v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~(v130(constB145, 1) | v130(constB145, 2) | (~v130(constB145, 0))))) <=> (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~(v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0)))))),
% 6.99/5.22 inference(monotonicity,[status(thm)],[19869])).
% 6.99/5.22 tff(19871,plain,
% 6.99/5.22 ((v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~(v130(constB145, 1) | v130(constB145, 2) | (~v130(constB145, 0))))) <=> (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0)))))),
% 6.99/5.22 inference(transitivity,[status(thm)],[19870, 19868])).
% 6.99/5.22 tff(19872,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~(v130(constB145, 1) | v130(constB145, 2) | (~v130(constB145, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0))))))),
% 6.99/5.22 inference(monotonicity,[status(thm)],[19871])).
% 6.99/5.22 tff(19873,plain,
% 6.99/5.22 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~(v130(constB145, 1) | v130(constB145, 2) | (~v130(constB145, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0)))))),
% 6.99/5.22 inference(transitivity,[status(thm)],[19872, 19867])).
% 6.99/5.22 tff(19874,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~(v130(constB145, 1) | v130(constB145, 2) | (~v130(constB145, 0)))))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19875,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0))))),
% 6.99/5.22 inference(modus_ponens,[status(thm)],[19874, 19873])).
% 6.99/5.22 tff(19876,plain,
% 6.99/5.22 (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0))))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19875, 5059])).
% 6.99/5.22 tff(19877,plain,
% 6.99/5.22 (~(v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0)))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19876, 19866, 19860, 19849, 19838, 19827, 19798])).
% 6.99/5.22 tff(19878,plain,
% 6.99/5.22 ((v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0))) | (~v130(constB145, 2))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19879,plain,
% 6.99/5.22 (~v130(constB145, 2)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19878, 19877])).
% 6.99/5.22 tff(19880,plain,
% 6.99/5.22 (((~v127(constB145, 2)) <=> v130(constB145, 2)) | (~v127(constB145, 2)) | v130(constB145, 2)),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19881,plain,
% 6.99/5.22 (~v127(constB145, 2)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19880, 19879, 18065])).
% 6.99/5.22 tff(19882,plain,
% 6.99/5.22 (((~v129(constB146, 2)) <=> v127(constB145, 2)) | (~v129(constB146, 2)) | v127(constB145, 2)),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19883,plain,
% 6.99/5.22 (~v129(constB146, 2)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19882, 19881, 18051])).
% 6.99/5.22 tff(19884,plain,
% 6.99/5.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19885,plain,
% 6.99/5.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19886,plain,
% 6.99/5.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146)))))),
% 6.99/5.22 inference(modus_ponens,[status(thm)],[19885, 19884])).
% 6.99/5.22 tff(19887,plain,
% 6.99/5.22 (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19886, 18045, 273])).
% 6.99/5.22 tff(19888,plain,
% 6.99/5.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19889,plain,
% 6.99/5.22 (((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146)))))) <=> ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19890,plain,
% 6.99/5.22 (((~![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) <=> (~((~v1(constB146)) | (~v102(constB146)))))))),
% 6.99/5.22 inference(monotonicity,[status(thm)],[19889])).
% 6.99/5.22 tff(19891,plain,
% 6.99/5.22 (((~![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) <=> (~((~v1(constB146)) | (~v102(constB146))))))),
% 6.99/5.22 inference(transitivity,[status(thm)],[19890, 19888])).
% 6.99/5.22 tff(19892,plain,
% 6.99/5.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146))))))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19893,plain,
% 6.99/5.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146)))))),
% 6.99/5.22 inference(modus_ponens,[status(thm)],[19892, 19891])).
% 6.99/5.22 tff(19894,plain,
% 6.99/5.22 (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19893, 18045, 293])).
% 6.99/5.22 tff(19895,plain,
% 6.99/5.22 (((~![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)))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19896,plain,
% 6.99/5.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146)))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19897,plain,
% 6.99/5.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146))),
% 6.99/5.22 inference(modus_ponens,[status(thm)],[19896, 19895])).
% 6.99/5.22 tff(19898,plain,
% 6.99/5.22 ((~v102(constB146)) <=> v104(constB146)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19897, 18045, 4609])).
% 6.99/5.22 tff(19899,plain,
% 6.99/5.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145)))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19900,plain,
% 6.99/5.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145)))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19901,plain,
% 6.99/5.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145))),
% 6.99/5.22 inference(modus_ponens,[status(thm)],[19900, 19899])).
% 6.99/5.22 tff(19902,plain,
% 6.99/5.22 (v104(constB146) <=> v1(constB145)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19901, 18045, 4623])).
% 6.99/5.22 tff(19903,plain,
% 6.99/5.22 ((~(v104(constB146) <=> v1(constB145))) | (~v104(constB146)) | v1(constB145)),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19904,plain,
% 6.99/5.22 ((~(v104(constB146) <=> v1(constB145))) | (~v104(constB146))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19903, 18084])).
% 6.99/5.22 tff(19905,plain,
% 6.99/5.22 (~v104(constB146)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19904, 19902])).
% 6.99/5.22 tff(19906,plain,
% 6.99/5.22 ((~((~v102(constB146)) <=> v104(constB146))) | v102(constB146) | v104(constB146)),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19907,plain,
% 6.99/5.22 (v102(constB146)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19906, 19905, 19898])).
% 6.99/5.22 tff(19908,plain,
% 6.99/5.22 (v1(constB146) <=> v1(constB146)),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19909,axiom,(v1(constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_146')).
% 6.99/5.22 tff(19910,plain,
% 6.99/5.22 (v1(constB146)),
% 6.99/5.22 inference(modus_ponens,[status(thm)],[19909, 19908])).
% 6.99/5.22 tff(19911,plain,
% 6.99/5.22 ((~((~v1(constB146)) | (~v102(constB146)))) | (~v1(constB146)) | (~v102(constB146))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19912,plain,
% 6.99/5.22 ((~((~v1(constB146)) | (~v102(constB146)))) | (~v102(constB146))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19911, 19910])).
% 6.99/5.22 tff(19913,plain,
% 6.99/5.22 (~((~v1(constB146)) | (~v102(constB146)))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19912, 19907])).
% 6.99/5.22 tff(19914,plain,
% 6.99/5.22 ((~(v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146)))))) | v101(constB146) | ((~v1(constB146)) | (~v102(constB146)))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19915,plain,
% 6.99/5.22 (v101(constB146)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19914, 19913, 19894])).
% 6.99/5.22 tff(19916,plain,
% 6.99/5.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145)))),
% 6.99/5.22 inference(rewrite,[status(thm)],[])).
% 6.99/5.22 tff(19917,plain,
% 6.99/5.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145)))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19918,plain,
% 6.99/5.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145))),
% 6.99/5.22 inference(modus_ponens,[status(thm)],[19917, 19916])).
% 6.99/5.22 tff(19919,plain,
% 6.99/5.22 (v110(constB146) <=> v108(constB145)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19918, 18045, 4650])).
% 6.99/5.22 tff(19920,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB145) <=> (v111(constB145) | v112(constB145)))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19921,plain,
% 6.99/5.22 (v108(constB145) <=> (v111(constB145) | v112(constB145))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19920, 4661])).
% 6.99/5.22 tff(19922,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145)))))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19923,plain,
% 6.99/5.22 (v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145))))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19922, 4673])).
% 6.99/5.22 tff(19924,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB145) <=> (v114(constB145) | v125(constB145)))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19925,plain,
% 6.99/5.22 (v113(constB145) <=> (v114(constB145) | v125(constB145))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19924, 4682])).
% 6.99/5.22 tff(19926,plain,
% 6.99/5.22 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB145) <=> (~(v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)))))),
% 6.99/5.22 inference(quant_inst,[status(thm)],[])).
% 6.99/5.22 tff(19927,plain,
% 6.99/5.22 (v125(constB145) <=> (~(v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2))))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19926, 5131])).
% 6.99/5.22 tff(19928,plain,
% 6.99/5.22 ((((~v90(constB145, 1)) <=> v90(constB144, 1)) | ((~v90(constB145, 2)) <=> v90(constB144, 2)) | ((~v90(constB145, 0)) <=> v90(constB144, 0))) | (~((~v90(constB145, 0)) <=> v90(constB144, 0)))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19929,plain,
% 6.99/5.22 (~((~v90(constB145, 0)) <=> v90(constB144, 0))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19928, 18101])).
% 6.99/5.22 tff(19930,plain,
% 6.99/5.22 ((((~v129(constB144, 2)) <=> v127(constB143, 2)) | ((~v129(constB144, 1)) <=> v127(constB143, 1)) | ((~v129(constB144, 0)) <=> v127(constB143, 0))) | (~((~v129(constB144, 0)) <=> v127(constB143, 0)))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19931,plain,
% 6.99/5.22 (~((~v129(constB144, 0)) <=> v127(constB143, 0))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19930, 18110])).
% 6.99/5.22 tff(19932,plain,
% 6.99/5.22 ((((~v127(constB143, 2)) <=> v130(constB143, 2)) | ((~v127(constB143, 1)) <=> v130(constB143, 1)) | ((~v127(constB143, 0)) <=> v130(constB143, 0))) | (~((~v127(constB143, 0)) <=> v130(constB143, 0)))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19933,plain,
% 6.99/5.22 (~((~v127(constB143, 0)) <=> v130(constB143, 0))),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19932, 18124])).
% 6.99/5.22 tff(19934,plain,
% 6.99/5.22 ((v130(constB143, 0) | (~v130(constB143, 2)) | (~v130(constB143, 1))) | (~v130(constB143, 0))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19935,plain,
% 6.99/5.22 (~v130(constB143, 0)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19934, 19699])).
% 6.99/5.22 tff(19936,plain,
% 6.99/5.22 (((~v127(constB143, 0)) <=> v130(constB143, 0)) | (~v127(constB143, 0)) | v130(constB143, 0)),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19937,plain,
% 6.99/5.22 (~v127(constB143, 0)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19936, 19935, 19933])).
% 6.99/5.22 tff(19938,plain,
% 6.99/5.22 (((~v129(constB144, 0)) <=> v127(constB143, 0)) | (~v129(constB144, 0)) | v127(constB143, 0)),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19939,plain,
% 6.99/5.22 (~v129(constB144, 0)),
% 6.99/5.22 inference(unit_resolution,[status(thm)],[19938, 19937, 19931])).
% 6.99/5.22 tff(19940,plain,
% 6.99/5.22 ((((~v90(constB144, 2)) <=> v129(constB144, 2)) | ((~v90(constB144, 1)) <=> v129(constB144, 1)) | ((~v90(constB144, 0)) <=> v129(constB144, 0))) | (~((~v90(constB144, 0)) <=> v129(constB144, 0)))),
% 6.99/5.22 inference(tautology,[status(thm)],[])).
% 6.99/5.22 tff(19941,plain,
% 6.99/5.22 (~((~v90(constB144, 0)) <=> v129(constB144, 0))),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19940, 19788])).
% 6.99/5.23 tff(19942,plain,
% 6.99/5.23 (((~v90(constB144, 0)) <=> v129(constB144, 0)) | (~v90(constB144, 0)) | v129(constB144, 0)),
% 6.99/5.23 inference(tautology,[status(thm)],[])).
% 6.99/5.23 tff(19943,plain,
% 6.99/5.23 (~v90(constB144, 0)),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19942, 19941, 19939])).
% 6.99/5.23 tff(19944,plain,
% 6.99/5.23 (((~v90(constB145, 0)) <=> v90(constB144, 0)) | (~v90(constB145, 0)) | v90(constB144, 0)),
% 6.99/5.23 inference(tautology,[status(thm)],[])).
% 6.99/5.23 tff(19945,plain,
% 6.99/5.23 (~v90(constB145, 0)),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19944, 19943, 19929])).
% 6.99/5.23 tff(19946,plain,
% 6.99/5.23 ((~(v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)))) | v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2))),
% 6.99/5.23 inference(tautology,[status(thm)],[])).
% 6.99/5.23 tff(19947,plain,
% 6.99/5.23 (~(v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)))),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19946, 19823, 19945, 19794])).
% 6.99/5.23 tff(19948,plain,
% 6.99/5.23 ((~(v125(constB145) <=> (~(v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)))))) | v125(constB145) | (v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)))),
% 6.99/5.23 inference(tautology,[status(thm)],[])).
% 6.99/5.23 tff(19949,plain,
% 6.99/5.23 (v125(constB145)),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19948, 19947, 19927])).
% 6.99/5.23 tff(19950,plain,
% 6.99/5.23 ((v114(constB145) | v125(constB145)) | (~v125(constB145))),
% 6.99/5.23 inference(tautology,[status(thm)],[])).
% 6.99/5.23 tff(19951,plain,
% 6.99/5.23 (v114(constB145) | v125(constB145)),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19950, 19949])).
% 6.99/5.23 tff(19952,plain,
% 6.99/5.23 ((~(v113(constB145) <=> (v114(constB145) | v125(constB145)))) | v113(constB145) | (~(v114(constB145) | v125(constB145)))),
% 6.99/5.23 inference(tautology,[status(thm)],[])).
% 6.99/5.23 tff(19953,plain,
% 6.99/5.23 (v113(constB145)),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19952, 19951, 19925])).
% 6.99/5.23 tff(19954,plain,
% 6.99/5.23 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB145)) <=> v111(constB145))),
% 6.99/5.23 inference(quant_inst,[status(thm)],[])).
% 6.99/5.23 tff(19955,plain,
% 6.99/5.23 ((~v126(constB145)) <=> v111(constB145)),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19954, 4761])).
% 6.99/5.23 tff(19956,plain,
% 6.99/5.23 ((~((~v126(constB145)) <=> v111(constB145))) | v126(constB145) | v111(constB145)),
% 6.99/5.23 inference(tautology,[status(thm)],[])).
% 6.99/5.23 tff(19957,plain,
% 6.99/5.23 ((~((~v126(constB145)) <=> v111(constB145))) | v126(constB145)),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19956, 18058])).
% 6.99/5.23 tff(19958,plain,
% 6.99/5.23 (v126(constB145)),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19957, 19955])).
% 6.99/5.23 tff(19959,plain,
% 6.99/5.23 ((~((~v113(constB145)) | (~v126(constB145)))) | (~v113(constB145)) | (~v126(constB145))),
% 6.99/5.23 inference(tautology,[status(thm)],[])).
% 6.99/5.23 tff(19960,plain,
% 6.99/5.23 ((~((~v113(constB145)) | (~v126(constB145)))) | (~v113(constB145))),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19959, 19958])).
% 6.99/5.23 tff(19961,plain,
% 6.99/5.23 (~((~v113(constB145)) | (~v126(constB145)))),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19960, 19953])).
% 6.99/5.23 tff(19962,plain,
% 6.99/5.23 ((~(v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145)))))) | v112(constB145) | ((~v113(constB145)) | (~v126(constB145)))),
% 6.99/5.23 inference(tautology,[status(thm)],[])).
% 6.99/5.23 tff(19963,plain,
% 6.99/5.23 (v112(constB145)),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19962, 19961, 19923])).
% 6.99/5.23 tff(19964,plain,
% 6.99/5.23 ((v111(constB145) | v112(constB145)) | (~v112(constB145))),
% 6.99/5.23 inference(tautology,[status(thm)],[])).
% 6.99/5.23 tff(19965,plain,
% 6.99/5.23 (v111(constB145) | v112(constB145)),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19964, 19963])).
% 6.99/5.23 tff(19966,plain,
% 6.99/5.23 ((~(v108(constB145) <=> (v111(constB145) | v112(constB145)))) | v108(constB145) | (~(v111(constB145) | v112(constB145)))),
% 6.99/5.23 inference(tautology,[status(thm)],[])).
% 6.99/5.23 tff(19967,plain,
% 6.99/5.23 (v108(constB145)),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19966, 19965, 19921])).
% 6.99/5.23 tff(19968,plain,
% 6.99/5.23 ((~(v110(constB146) <=> v108(constB145))) | v110(constB146) | (~v108(constB145))),
% 6.99/5.23 inference(tautology,[status(thm)],[])).
% 6.99/5.23 tff(19969,plain,
% 6.99/5.23 (v110(constB146)),
% 6.99/5.23 inference(unit_resolution,[status(thm)],[19968, 19967, 19919])).
% 7.04/5.23 tff(19970,plain,
% 7.04/5.23 ((~((~v101(constB146)) | (~v110(constB146)))) | (~v101(constB146)) | (~v110(constB146))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(19971,plain,
% 7.04/5.23 (~((~v101(constB146)) | (~v110(constB146)))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[19970, 19969, 19915])).
% 7.04/5.23 tff(19972,plain,
% 7.04/5.23 ((~(v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146)))))) | v100(constB146) | ((~v101(constB146)) | (~v110(constB146)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(19973,plain,
% 7.04/5.23 (v100(constB146)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[19972, 19971, 19887])).
% 7.04/5.23 tff(19974,plain,
% 7.04/5.23 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB146)) | (~(((~v90(constB146, 0)) <=> v129(constB146, 0)) | ((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB146)) | (~(((~v90(constB146, 0)) <=> v129(constB146, 0)) | ((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1)))))),
% 7.04/5.23 inference(rewrite,[status(thm)],[])).
% 7.04/5.23 tff(19975,plain,
% 7.04/5.23 (((~v100(constB146)) | (~(((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1)) | ((~v90(constB146, 0)) <=> v129(constB146, 0))))) <=> ((~v100(constB146)) | (~(((~v90(constB146, 0)) <=> v129(constB146, 0)) | ((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1)))))),
% 7.04/5.23 inference(rewrite,[status(thm)],[])).
% 7.04/5.23 tff(19976,plain,
% 7.04/5.23 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB146)) | (~(((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1)) | ((~v90(constB146, 0)) <=> v129(constB146, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB146)) | (~(((~v90(constB146, 0)) <=> v129(constB146, 0)) | ((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1))))))),
% 7.04/5.23 inference(monotonicity,[status(thm)],[19975])).
% 7.04/5.23 tff(19977,plain,
% 7.04/5.23 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB146)) | (~(((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1)) | ((~v90(constB146, 0)) <=> v129(constB146, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB146)) | (~(((~v90(constB146, 0)) <=> v129(constB146, 0)) | ((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1)))))),
% 7.04/5.23 inference(transitivity,[status(thm)],[19976, 19974])).
% 7.04/5.23 tff(19978,plain,
% 7.04/5.23 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB146)) | (~(((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1)) | ((~v90(constB146, 0)) <=> v129(constB146, 0)))))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(19979,plain,
% 7.04/5.23 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB146)) | (~(((~v90(constB146, 0)) <=> v129(constB146, 0)) | ((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1))))),
% 7.04/5.23 inference(modus_ponens,[status(thm)],[19978, 19977])).
% 7.04/5.23 tff(19980,plain,
% 7.04/5.23 ((~v100(constB146)) | (~(((~v90(constB146, 0)) <=> v129(constB146, 0)) | ((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1))))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[19979, 4794])).
% 7.04/5.23 tff(19981,plain,
% 7.04/5.23 (~(((~v90(constB146, 0)) <=> v129(constB146, 0)) | ((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1)))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[19980, 19973])).
% 7.04/5.23 tff(19982,plain,
% 7.04/5.23 ((((~v90(constB146, 0)) <=> v129(constB146, 0)) | ((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1))) | (~((~v90(constB146, 2)) <=> v129(constB146, 2)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(19983,plain,
% 7.04/5.23 (~((~v90(constB146, 2)) <=> v129(constB146, 2))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[19982, 19981])).
% 7.04/5.23 tff(19984,plain,
% 7.04/5.23 (((~v90(constB146, 2)) <=> v129(constB146, 2)) | (~v90(constB146, 2)) | v129(constB146, 2)),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(19985,plain,
% 7.04/5.23 (~v90(constB146, 2)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[19984, 19983, 19883])).
% 7.04/5.23 tff(19986,plain,
% 7.04/5.23 (((~v90(constB147, 2)) <=> v90(constB146, 2)) | (~v90(constB147, 2)) | v90(constB146, 2)),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(19987,plain,
% 7.04/5.23 (~v90(constB147, 2)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[19986, 19985, 18042])).
% 7.04/5.23 tff(19988,plain,
% 7.04/5.23 ((((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 0)) <=> v90(constB146, 0))) | (~((~v90(constB147, 0)) <=> v90(constB146, 0)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(19989,plain,
% 7.04/5.23 (~((~v90(constB147, 0)) <=> v90(constB146, 0))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[19988, 18040])).
% 7.04/5.23 tff(19990,plain,
% 7.04/5.23 ((((~v129(constB146, 2)) <=> v127(constB145, 2)) | ((~v129(constB146, 1)) <=> v127(constB145, 1)) | ((~v129(constB146, 0)) <=> v127(constB145, 0))) | (~((~v129(constB146, 0)) <=> v127(constB145, 0)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(19991,plain,
% 7.04/5.23 (~((~v129(constB146, 0)) <=> v127(constB145, 0))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[19990, 18049])).
% 7.04/5.23 tff(19992,plain,
% 7.04/5.23 ((((~v127(constB145, 2)) <=> v130(constB145, 2)) | ((~v127(constB145, 1)) <=> v130(constB145, 1)) | ((~v127(constB145, 0)) <=> v130(constB145, 0))) | (~((~v127(constB145, 0)) <=> v130(constB145, 0)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(19993,plain,
% 7.04/5.23 (~((~v127(constB145, 0)) <=> v130(constB145, 0))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[19992, 18063])).
% 7.04/5.23 tff(19994,plain,
% 7.04/5.23 ((v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0))) | v130(constB145, 0)),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(19995,plain,
% 7.04/5.23 (v130(constB145, 0)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[19994, 19877])).
% 7.04/5.23 tff(19996,plain,
% 7.04/5.23 (((~v127(constB145, 0)) <=> v130(constB145, 0)) | v127(constB145, 0) | (~v130(constB145, 0))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(19997,plain,
% 7.04/5.23 (v127(constB145, 0)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[19996, 19995, 19993])).
% 7.04/5.23 tff(19998,plain,
% 7.04/5.23 (((~v129(constB146, 0)) <=> v127(constB145, 0)) | v129(constB146, 0) | (~v127(constB145, 0))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(19999,plain,
% 7.04/5.23 (v129(constB146, 0)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[19998, 19997, 19991])).
% 7.04/5.23 tff(20000,plain,
% 7.04/5.23 ((((~v90(constB146, 0)) <=> v129(constB146, 0)) | ((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1))) | (~((~v90(constB146, 0)) <=> v129(constB146, 0)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20001,plain,
% 7.04/5.23 (~((~v90(constB146, 0)) <=> v129(constB146, 0))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20000, 19981])).
% 7.04/5.23 tff(20002,plain,
% 7.04/5.23 (((~v90(constB146, 0)) <=> v129(constB146, 0)) | v90(constB146, 0) | (~v129(constB146, 0))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20003,plain,
% 7.04/5.23 (v90(constB146, 0)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20002, 20001, 19999])).
% 7.04/5.23 tff(20004,plain,
% 7.04/5.23 (((~v90(constB147, 0)) <=> v90(constB146, 0)) | v90(constB147, 0) | (~v90(constB146, 0))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20005,plain,
% 7.04/5.23 (v90(constB147, 0)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20004, 20003, 19989])).
% 7.04/5.23 tff(20006,plain,
% 7.04/5.23 ((((~v90(constB147, 1)) <=> v90(constB146, 1)) | ((~v90(constB147, 2)) <=> v90(constB146, 2)) | ((~v90(constB147, 0)) <=> v90(constB146, 0))) | (~((~v90(constB147, 1)) <=> v90(constB146, 1)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20007,plain,
% 7.04/5.23 (~((~v90(constB147, 1)) <=> v90(constB146, 1))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20006, 18040])).
% 7.04/5.23 tff(20008,plain,
% 7.04/5.23 ((((~v129(constB146, 2)) <=> v127(constB145, 2)) | ((~v129(constB146, 1)) <=> v127(constB145, 1)) | ((~v129(constB146, 0)) <=> v127(constB145, 0))) | (~((~v129(constB146, 1)) <=> v127(constB145, 1)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20009,plain,
% 7.04/5.23 (~((~v129(constB146, 1)) <=> v127(constB145, 1))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20008, 18049])).
% 7.04/5.23 tff(20010,plain,
% 7.04/5.23 ((((~v127(constB145, 2)) <=> v130(constB145, 2)) | ((~v127(constB145, 1)) <=> v130(constB145, 1)) | ((~v127(constB145, 0)) <=> v130(constB145, 0))) | (~((~v127(constB145, 1)) <=> v130(constB145, 1)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20011,plain,
% 7.04/5.23 (~((~v127(constB145, 1)) <=> v130(constB145, 1))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20010, 18063])).
% 7.04/5.23 tff(20012,plain,
% 7.04/5.23 ((v130(constB145, 2) | v130(constB145, 1) | (~v130(constB145, 0))) | (~v130(constB145, 1))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20013,plain,
% 7.04/5.23 (~v130(constB145, 1)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20012, 19877])).
% 7.04/5.23 tff(20014,plain,
% 7.04/5.23 (((~v127(constB145, 1)) <=> v130(constB145, 1)) | (~v127(constB145, 1)) | v130(constB145, 1)),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20015,plain,
% 7.04/5.23 (~v127(constB145, 1)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20014, 20013, 20011])).
% 7.04/5.23 tff(20016,plain,
% 7.04/5.23 (((~v129(constB146, 1)) <=> v127(constB145, 1)) | (~v129(constB146, 1)) | v127(constB145, 1)),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20017,plain,
% 7.04/5.23 (~v129(constB146, 1)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20016, 20015, 20009])).
% 7.04/5.23 tff(20018,plain,
% 7.04/5.23 ((((~v90(constB146, 0)) <=> v129(constB146, 0)) | ((~v90(constB146, 2)) <=> v129(constB146, 2)) | ((~v90(constB146, 1)) <=> v129(constB146, 1))) | (~((~v90(constB146, 1)) <=> v129(constB146, 1)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20019,plain,
% 7.04/5.23 (~((~v90(constB146, 1)) <=> v129(constB146, 1))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20018, 19981])).
% 7.04/5.23 tff(20020,plain,
% 7.04/5.23 (((~v90(constB146, 1)) <=> v129(constB146, 1)) | (~v90(constB146, 1)) | v129(constB146, 1)),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20021,plain,
% 7.04/5.23 (~v90(constB146, 1)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20020, 20019, 20017])).
% 7.04/5.23 tff(20022,plain,
% 7.04/5.23 (((~v90(constB147, 1)) <=> v90(constB146, 1)) | (~v90(constB147, 1)) | v90(constB146, 1)),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20023,plain,
% 7.04/5.23 (~v90(constB147, 1)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20022, 20021, 20007])).
% 7.04/5.23 tff(20024,plain,
% 7.04/5.23 ((~(v90(constB147, 1) | v90(constB147, 2) | (~v90(constB147, 0)))) | v90(constB147, 1) | v90(constB147, 2) | (~v90(constB147, 0))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20025,plain,
% 7.04/5.23 (~(v90(constB147, 1) | v90(constB147, 2) | (~v90(constB147, 0)))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20024, 20023, 20005, 19987])).
% 7.04/5.23 tff(20026,plain,
% 7.04/5.23 ((~(v120(constB147) <=> (~(v90(constB147, 1) | v90(constB147, 2) | (~v90(constB147, 0)))))) | v120(constB147) | (v90(constB147, 1) | v90(constB147, 2) | (~v90(constB147, 0)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20027,plain,
% 7.04/5.23 (v120(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20026, 20025, 18006])).
% 7.04/5.23 tff(20028,plain,
% 7.04/5.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB147)) | (~(v130(constB147, 2) | v130(constB147, 0) | (~v130(constB147, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB147)) | (~(v130(constB147, 2) | v130(constB147, 0) | (~v130(constB147, 1)))))),
% 7.04/5.23 inference(rewrite,[status(thm)],[])).
% 7.04/5.23 tff(20029,plain,
% 7.04/5.23 (((~v120(constB147)) | (~(v130(constB147, 0) | v130(constB147, 2) | (~v130(constB147, 1))))) <=> ((~v120(constB147)) | (~(v130(constB147, 2) | v130(constB147, 0) | (~v130(constB147, 1)))))),
% 7.04/5.23 inference(rewrite,[status(thm)],[])).
% 7.04/5.23 tff(20030,plain,
% 7.04/5.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB147)) | (~(v130(constB147, 0) | v130(constB147, 2) | (~v130(constB147, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB147)) | (~(v130(constB147, 2) | v130(constB147, 0) | (~v130(constB147, 1))))))),
% 7.04/5.23 inference(monotonicity,[status(thm)],[20029])).
% 7.04/5.23 tff(20031,plain,
% 7.04/5.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB147)) | (~(v130(constB147, 0) | v130(constB147, 2) | (~v130(constB147, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB147)) | (~(v130(constB147, 2) | v130(constB147, 0) | (~v130(constB147, 1)))))),
% 7.04/5.23 inference(transitivity,[status(thm)],[20030, 20028])).
% 7.04/5.23 tff(20032,plain,
% 7.04/5.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB147)) | (~(v130(constB147, 0) | v130(constB147, 2) | (~v130(constB147, 1)))))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20033,plain,
% 7.04/5.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB147)) | (~(v130(constB147, 2) | v130(constB147, 0) | (~v130(constB147, 1))))),
% 7.04/5.23 inference(modus_ponens,[status(thm)],[20032, 20031])).
% 7.04/5.23 tff(20034,plain,
% 7.04/5.23 ((~v120(constB147)) | (~(v130(constB147, 2) | v130(constB147, 0) | (~v130(constB147, 1))))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20033, 5246])).
% 7.04/5.23 tff(20035,plain,
% 7.04/5.23 (~(v130(constB147, 2) | v130(constB147, 0) | (~v130(constB147, 1)))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20034, 20027])).
% 7.04/5.23 tff(20036,plain,
% 7.04/5.23 ((v130(constB147, 2) | v130(constB147, 0) | (~v130(constB147, 1))) | (~v130(constB147, 2))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20037,plain,
% 7.04/5.23 (~v130(constB147, 2)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20036, 20035])).
% 7.04/5.23 tff(20038,plain,
% 7.04/5.23 (((~v127(constB147, 2)) <=> v130(constB147, 2)) | (~v127(constB147, 2)) | v130(constB147, 2)),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20039,plain,
% 7.04/5.23 (~v127(constB147, 2)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20038, 20037, 18004])).
% 7.04/5.23 tff(20040,plain,
% 7.04/5.23 (((~v129(constB148, 2)) <=> v127(constB147, 2)) | (~v129(constB148, 2)) | v127(constB147, 2)),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20041,plain,
% 7.04/5.23 (~v129(constB148, 2)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20040, 20039, 17990])).
% 7.04/5.23 tff(20042,plain,
% 7.04/5.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))))),
% 7.04/5.23 inference(rewrite,[status(thm)],[])).
% 7.04/5.23 tff(20043,plain,
% 7.04/5.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20044,plain,
% 7.04/5.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148)))))),
% 7.04/5.23 inference(modus_ponens,[status(thm)],[20043, 20042])).
% 7.04/5.23 tff(20045,plain,
% 7.04/5.23 (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20044, 17984, 273])).
% 7.04/5.23 tff(20046,plain,
% 7.04/5.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))),
% 7.04/5.23 inference(rewrite,[status(thm)],[])).
% 7.04/5.23 tff(20047,plain,
% 7.04/5.23 (((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148)))))) <=> ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))),
% 7.04/5.23 inference(rewrite,[status(thm)],[])).
% 7.04/5.23 tff(20048,plain,
% 7.04/5.23 (((~![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) <=> (~((~v1(constB148)) | (~v102(constB148)))))))),
% 7.04/5.23 inference(monotonicity,[status(thm)],[20047])).
% 7.04/5.23 tff(20049,plain,
% 7.04/5.23 (((~![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) <=> (~((~v1(constB148)) | (~v102(constB148))))))),
% 7.04/5.23 inference(transitivity,[status(thm)],[20048, 20046])).
% 7.04/5.23 tff(20050,plain,
% 7.04/5.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148))))))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20051,plain,
% 7.04/5.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148)))))),
% 7.04/5.23 inference(modus_ponens,[status(thm)],[20050, 20049])).
% 7.04/5.23 tff(20052,plain,
% 7.04/5.23 (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20051, 17984, 293])).
% 7.04/5.23 tff(20053,plain,
% 7.04/5.23 (((~![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)))),
% 7.04/5.23 inference(rewrite,[status(thm)],[])).
% 7.04/5.23 tff(20054,plain,
% 7.04/5.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148)))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20055,plain,
% 7.04/5.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148))),
% 7.04/5.23 inference(modus_ponens,[status(thm)],[20054, 20053])).
% 7.04/5.23 tff(20056,plain,
% 7.04/5.23 ((~v102(constB148)) <=> v104(constB148)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20055, 17984, 4609])).
% 7.04/5.23 tff(20057,plain,
% 7.04/5.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147)))),
% 7.04/5.23 inference(rewrite,[status(thm)],[])).
% 7.04/5.23 tff(20058,plain,
% 7.04/5.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147)))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20059,plain,
% 7.04/5.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147))),
% 7.04/5.23 inference(modus_ponens,[status(thm)],[20058, 20057])).
% 7.04/5.23 tff(20060,plain,
% 7.04/5.23 (v104(constB148) <=> v1(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20059, 17984, 4623])).
% 7.04/5.23 tff(20061,plain,
% 7.04/5.23 ((~(v104(constB148) <=> v1(constB147))) | (~v104(constB148)) | v1(constB147)),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20062,plain,
% 7.04/5.23 ((~(v104(constB148) <=> v1(constB147))) | (~v104(constB148))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20061, 18023])).
% 7.04/5.23 tff(20063,plain,
% 7.04/5.23 (~v104(constB148)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20062, 20060])).
% 7.04/5.23 tff(20064,plain,
% 7.04/5.23 ((~((~v102(constB148)) <=> v104(constB148))) | v102(constB148) | v104(constB148)),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20065,plain,
% 7.04/5.23 (v102(constB148)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20064, 20063, 20056])).
% 7.04/5.23 tff(20066,plain,
% 7.04/5.23 (v1(constB148) <=> v1(constB148)),
% 7.04/5.23 inference(rewrite,[status(thm)],[])).
% 7.04/5.23 tff(20067,axiom,(v1(constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_148')).
% 7.04/5.23 tff(20068,plain,
% 7.04/5.23 (v1(constB148)),
% 7.04/5.23 inference(modus_ponens,[status(thm)],[20067, 20066])).
% 7.04/5.23 tff(20069,plain,
% 7.04/5.23 ((~((~v1(constB148)) | (~v102(constB148)))) | (~v1(constB148)) | (~v102(constB148))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20070,plain,
% 7.04/5.23 ((~((~v1(constB148)) | (~v102(constB148)))) | (~v102(constB148))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20069, 20068])).
% 7.04/5.23 tff(20071,plain,
% 7.04/5.23 (~((~v1(constB148)) | (~v102(constB148)))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20070, 20065])).
% 7.04/5.23 tff(20072,plain,
% 7.04/5.23 ((~(v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148)))))) | v101(constB148) | ((~v1(constB148)) | (~v102(constB148)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20073,plain,
% 7.04/5.23 (v101(constB148)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20072, 20071, 20052])).
% 7.04/5.23 tff(20074,plain,
% 7.04/5.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147)))),
% 7.04/5.23 inference(rewrite,[status(thm)],[])).
% 7.04/5.23 tff(20075,plain,
% 7.04/5.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147)))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20076,plain,
% 7.04/5.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147))),
% 7.04/5.23 inference(modus_ponens,[status(thm)],[20075, 20074])).
% 7.04/5.23 tff(20077,plain,
% 7.04/5.23 (v110(constB148) <=> v108(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20076, 17984, 4650])).
% 7.04/5.23 tff(20078,plain,
% 7.04/5.23 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB147) <=> (v111(constB147) | v112(constB147)))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20079,plain,
% 7.04/5.23 (v108(constB147) <=> (v111(constB147) | v112(constB147))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20078, 4661])).
% 7.04/5.23 tff(20080,plain,
% 7.04/5.23 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147)))))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20081,plain,
% 7.04/5.23 (v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147))))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20080, 4673])).
% 7.04/5.23 tff(20082,plain,
% 7.04/5.23 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB147) <=> (v114(constB147) | v125(constB147)))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20083,plain,
% 7.04/5.23 (v113(constB147) <=> (v114(constB147) | v125(constB147))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20082, 4682])).
% 7.04/5.23 tff(20084,plain,
% 7.04/5.23 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB147) <=> (v115(constB147) | v124(constB147)))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20085,plain,
% 7.04/5.23 (v114(constB147) <=> (v115(constB147) | v124(constB147))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20084, 4691])).
% 7.04/5.23 tff(20086,plain,
% 7.04/5.23 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB147) <=> (v116(constB147) | v123(constB147)))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20087,plain,
% 7.04/5.23 (v115(constB147) <=> (v116(constB147) | v123(constB147))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20086, 4700])).
% 7.04/5.23 tff(20088,plain,
% 7.04/5.23 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB147) <=> (v117(constB147) | v122(constB147)))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20089,plain,
% 7.04/5.23 (v116(constB147) <=> (v117(constB147) | v122(constB147))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20088, 4709])).
% 7.04/5.23 tff(20090,plain,
% 7.04/5.23 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB147) <=> (v118(constB147) | v121(constB147)))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20091,plain,
% 7.04/5.23 (v117(constB147) <=> (v118(constB147) | v121(constB147))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20090, 4718])).
% 7.04/5.23 tff(20092,plain,
% 7.04/5.23 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB147) <=> (v119(constB147) | v120(constB147)))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20093,plain,
% 7.04/5.23 (v118(constB147) <=> (v119(constB147) | v120(constB147))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20092, 4727])).
% 7.04/5.23 tff(20094,plain,
% 7.04/5.23 ((v119(constB147) | v120(constB147)) | (~v120(constB147))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20095,plain,
% 7.04/5.23 (v119(constB147) | v120(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20094, 20027])).
% 7.04/5.23 tff(20096,plain,
% 7.04/5.23 ((~(v118(constB147) <=> (v119(constB147) | v120(constB147)))) | v118(constB147) | (~(v119(constB147) | v120(constB147)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20097,plain,
% 7.04/5.23 (v118(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20096, 20095, 20093])).
% 7.04/5.23 tff(20098,plain,
% 7.04/5.23 ((v118(constB147) | v121(constB147)) | (~v118(constB147))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20099,plain,
% 7.04/5.23 (v118(constB147) | v121(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20098, 20097])).
% 7.04/5.23 tff(20100,plain,
% 7.04/5.23 ((~(v117(constB147) <=> (v118(constB147) | v121(constB147)))) | v117(constB147) | (~(v118(constB147) | v121(constB147)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20101,plain,
% 7.04/5.23 (v117(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20100, 20099, 20091])).
% 7.04/5.23 tff(20102,plain,
% 7.04/5.23 ((v117(constB147) | v122(constB147)) | (~v117(constB147))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20103,plain,
% 7.04/5.23 (v117(constB147) | v122(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20102, 20101])).
% 7.04/5.23 tff(20104,plain,
% 7.04/5.23 ((~(v116(constB147) <=> (v117(constB147) | v122(constB147)))) | v116(constB147) | (~(v117(constB147) | v122(constB147)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20105,plain,
% 7.04/5.23 (v116(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20104, 20103, 20089])).
% 7.04/5.23 tff(20106,plain,
% 7.04/5.23 ((v116(constB147) | v123(constB147)) | (~v116(constB147))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20107,plain,
% 7.04/5.23 (v116(constB147) | v123(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20106, 20105])).
% 7.04/5.23 tff(20108,plain,
% 7.04/5.23 ((~(v115(constB147) <=> (v116(constB147) | v123(constB147)))) | v115(constB147) | (~(v116(constB147) | v123(constB147)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20109,plain,
% 7.04/5.23 (v115(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20108, 20107, 20087])).
% 7.04/5.23 tff(20110,plain,
% 7.04/5.23 ((v115(constB147) | v124(constB147)) | (~v115(constB147))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20111,plain,
% 7.04/5.23 (v115(constB147) | v124(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20110, 20109])).
% 7.04/5.23 tff(20112,plain,
% 7.04/5.23 ((~(v114(constB147) <=> (v115(constB147) | v124(constB147)))) | v114(constB147) | (~(v115(constB147) | v124(constB147)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20113,plain,
% 7.04/5.23 (v114(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20112, 20111, 20085])).
% 7.04/5.23 tff(20114,plain,
% 7.04/5.23 ((v114(constB147) | v125(constB147)) | (~v114(constB147))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20115,plain,
% 7.04/5.23 (v114(constB147) | v125(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20114, 20113])).
% 7.04/5.23 tff(20116,plain,
% 7.04/5.23 ((~(v113(constB147) <=> (v114(constB147) | v125(constB147)))) | v113(constB147) | (~(v114(constB147) | v125(constB147)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20117,plain,
% 7.04/5.23 (v113(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20116, 20115, 20083])).
% 7.04/5.23 tff(20118,plain,
% 7.04/5.23 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB147)) <=> v111(constB147))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20119,plain,
% 7.04/5.23 ((~v126(constB147)) <=> v111(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20118, 4761])).
% 7.04/5.23 tff(20120,plain,
% 7.04/5.23 ((~((~v126(constB147)) <=> v111(constB147))) | v126(constB147) | v111(constB147)),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20121,plain,
% 7.04/5.23 ((~((~v126(constB147)) <=> v111(constB147))) | v126(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20120, 17997])).
% 7.04/5.23 tff(20122,plain,
% 7.04/5.23 (v126(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20121, 20119])).
% 7.04/5.23 tff(20123,plain,
% 7.04/5.23 ((~((~v113(constB147)) | (~v126(constB147)))) | (~v113(constB147)) | (~v126(constB147))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20124,plain,
% 7.04/5.23 ((~((~v113(constB147)) | (~v126(constB147)))) | (~v113(constB147))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20123, 20122])).
% 7.04/5.23 tff(20125,plain,
% 7.04/5.23 (~((~v113(constB147)) | (~v126(constB147)))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20124, 20117])).
% 7.04/5.23 tff(20126,plain,
% 7.04/5.23 ((~(v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147)))))) | v112(constB147) | ((~v113(constB147)) | (~v126(constB147)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20127,plain,
% 7.04/5.23 (v112(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20126, 20125, 20081])).
% 7.04/5.23 tff(20128,plain,
% 7.04/5.23 ((v111(constB147) | v112(constB147)) | (~v112(constB147))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20129,plain,
% 7.04/5.23 (v111(constB147) | v112(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20128, 20127])).
% 7.04/5.23 tff(20130,plain,
% 7.04/5.23 ((~(v108(constB147) <=> (v111(constB147) | v112(constB147)))) | v108(constB147) | (~(v111(constB147) | v112(constB147)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20131,plain,
% 7.04/5.23 (v108(constB147)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20130, 20129, 20079])).
% 7.04/5.23 tff(20132,plain,
% 7.04/5.23 ((~(v110(constB148) <=> v108(constB147))) | v110(constB148) | (~v108(constB147))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20133,plain,
% 7.04/5.23 (v110(constB148)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20132, 20131, 20077])).
% 7.04/5.23 tff(20134,plain,
% 7.04/5.23 ((~((~v101(constB148)) | (~v110(constB148)))) | (~v101(constB148)) | (~v110(constB148))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20135,plain,
% 7.04/5.23 (~((~v101(constB148)) | (~v110(constB148)))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20134, 20133, 20073])).
% 7.04/5.23 tff(20136,plain,
% 7.04/5.23 ((~(v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148)))))) | v100(constB148) | ((~v101(constB148)) | (~v110(constB148)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20137,plain,
% 7.04/5.23 (v100(constB148)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20136, 20135, 20045])).
% 7.04/5.23 tff(20138,plain,
% 7.04/5.23 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB148)) | (~(((~v90(constB148, 2)) <=> v129(constB148, 2)) | ((~v90(constB148, 1)) <=> v129(constB148, 1)) | ((~v90(constB148, 0)) <=> v129(constB148, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB148)) | (~(((~v90(constB148, 2)) <=> v129(constB148, 2)) | ((~v90(constB148, 1)) <=> v129(constB148, 1)) | ((~v90(constB148, 0)) <=> v129(constB148, 0)))))),
% 7.04/5.23 inference(rewrite,[status(thm)],[])).
% 7.04/5.23 tff(20139,plain,
% 7.04/5.23 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB148)) | (~(((~v90(constB148, 2)) <=> v129(constB148, 2)) | ((~v90(constB148, 1)) <=> v129(constB148, 1)) | ((~v90(constB148, 0)) <=> v129(constB148, 0)))))),
% 7.04/5.23 inference(quant_inst,[status(thm)],[])).
% 7.04/5.23 tff(20140,plain,
% 7.04/5.23 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB148)) | (~(((~v90(constB148, 2)) <=> v129(constB148, 2)) | ((~v90(constB148, 1)) <=> v129(constB148, 1)) | ((~v90(constB148, 0)) <=> v129(constB148, 0))))),
% 7.04/5.23 inference(modus_ponens,[status(thm)],[20139, 20138])).
% 7.04/5.23 tff(20141,plain,
% 7.04/5.23 ((~v100(constB148)) | (~(((~v90(constB148, 2)) <=> v129(constB148, 2)) | ((~v90(constB148, 1)) <=> v129(constB148, 1)) | ((~v90(constB148, 0)) <=> v129(constB148, 0))))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20140, 4794])).
% 7.04/5.23 tff(20142,plain,
% 7.04/5.23 (~(((~v90(constB148, 2)) <=> v129(constB148, 2)) | ((~v90(constB148, 1)) <=> v129(constB148, 1)) | ((~v90(constB148, 0)) <=> v129(constB148, 0)))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20141, 20137])).
% 7.04/5.23 tff(20143,plain,
% 7.04/5.23 ((((~v90(constB148, 2)) <=> v129(constB148, 2)) | ((~v90(constB148, 1)) <=> v129(constB148, 1)) | ((~v90(constB148, 0)) <=> v129(constB148, 0))) | (~((~v90(constB148, 2)) <=> v129(constB148, 2)))),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20144,plain,
% 7.04/5.23 (~((~v90(constB148, 2)) <=> v129(constB148, 2))),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20143, 20142])).
% 7.04/5.23 tff(20145,plain,
% 7.04/5.23 (((~v90(constB148, 2)) <=> v129(constB148, 2)) | (~v90(constB148, 2)) | v129(constB148, 2)),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.23 tff(20146,plain,
% 7.04/5.23 (~v90(constB148, 2)),
% 7.04/5.23 inference(unit_resolution,[status(thm)],[20145, 20144, 20041])).
% 7.04/5.23 tff(20147,plain,
% 7.04/5.23 (((~v90(constB149, 2)) <=> v90(constB148, 2)) | (~v90(constB149, 2)) | v90(constB148, 2)),
% 7.04/5.23 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20148,plain,
% 7.04/5.24 (~v90(constB149, 2)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20147, 20146, 17981])).
% 7.04/5.24 tff(20149,plain,
% 7.04/5.24 ((((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 0)) <=> v90(constB148, 0))) | (~((~v90(constB149, 0)) <=> v90(constB148, 0)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20150,plain,
% 7.04/5.24 (~((~v90(constB149, 0)) <=> v90(constB148, 0))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20149, 17979])).
% 7.04/5.24 tff(20151,plain,
% 7.04/5.24 ((((~v129(constB148, 2)) <=> v127(constB147, 2)) | ((~v129(constB148, 1)) <=> v127(constB147, 1)) | ((~v129(constB148, 0)) <=> v127(constB147, 0))) | (~((~v129(constB148, 0)) <=> v127(constB147, 0)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20152,plain,
% 7.04/5.24 (~((~v129(constB148, 0)) <=> v127(constB147, 0))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20151, 17988])).
% 7.04/5.24 tff(20153,plain,
% 7.04/5.24 ((((~v127(constB147, 2)) <=> v130(constB147, 2)) | ((~v127(constB147, 1)) <=> v130(constB147, 1)) | ((~v127(constB147, 0)) <=> v130(constB147, 0))) | (~((~v127(constB147, 0)) <=> v130(constB147, 0)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20154,plain,
% 7.04/5.24 (~((~v127(constB147, 0)) <=> v130(constB147, 0))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20153, 18002])).
% 7.04/5.24 tff(20155,plain,
% 7.04/5.24 ((v130(constB147, 2) | v130(constB147, 0) | (~v130(constB147, 1))) | (~v130(constB147, 0))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20156,plain,
% 7.04/5.24 (~v130(constB147, 0)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20155, 20035])).
% 7.04/5.24 tff(20157,plain,
% 7.04/5.24 (((~v127(constB147, 0)) <=> v130(constB147, 0)) | (~v127(constB147, 0)) | v130(constB147, 0)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20158,plain,
% 7.04/5.24 (~v127(constB147, 0)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20157, 20156, 20154])).
% 7.04/5.24 tff(20159,plain,
% 7.04/5.24 (((~v129(constB148, 0)) <=> v127(constB147, 0)) | (~v129(constB148, 0)) | v127(constB147, 0)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20160,plain,
% 7.04/5.24 (~v129(constB148, 0)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20159, 20158, 20152])).
% 7.04/5.24 tff(20161,plain,
% 7.04/5.24 ((((~v90(constB148, 2)) <=> v129(constB148, 2)) | ((~v90(constB148, 1)) <=> v129(constB148, 1)) | ((~v90(constB148, 0)) <=> v129(constB148, 0))) | (~((~v90(constB148, 0)) <=> v129(constB148, 0)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20162,plain,
% 7.04/5.24 (~((~v90(constB148, 0)) <=> v129(constB148, 0))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20161, 20142])).
% 7.04/5.24 tff(20163,plain,
% 7.04/5.24 (((~v90(constB148, 0)) <=> v129(constB148, 0)) | (~v90(constB148, 0)) | v129(constB148, 0)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20164,plain,
% 7.04/5.24 (~v90(constB148, 0)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20163, 20162, 20160])).
% 7.04/5.24 tff(20165,plain,
% 7.04/5.24 (((~v90(constB149, 0)) <=> v90(constB148, 0)) | (~v90(constB149, 0)) | v90(constB148, 0)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20166,plain,
% 7.04/5.24 (~v90(constB149, 0)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20165, 20164, 20150])).
% 7.04/5.24 tff(20167,plain,
% 7.04/5.24 ((((~v90(constB149, 1)) <=> v90(constB148, 1)) | ((~v90(constB149, 2)) <=> v90(constB148, 2)) | ((~v90(constB149, 0)) <=> v90(constB148, 0))) | (~((~v90(constB149, 1)) <=> v90(constB148, 1)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20168,plain,
% 7.04/5.24 (~((~v90(constB149, 1)) <=> v90(constB148, 1))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20167, 17979])).
% 7.04/5.24 tff(20169,plain,
% 7.04/5.24 ((((~v129(constB148, 2)) <=> v127(constB147, 2)) | ((~v129(constB148, 1)) <=> v127(constB147, 1)) | ((~v129(constB148, 0)) <=> v127(constB147, 0))) | (~((~v129(constB148, 1)) <=> v127(constB147, 1)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20170,plain,
% 7.04/5.24 (~((~v129(constB148, 1)) <=> v127(constB147, 1))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20169, 17988])).
% 7.04/5.24 tff(20171,plain,
% 7.04/5.24 ((((~v127(constB147, 2)) <=> v130(constB147, 2)) | ((~v127(constB147, 1)) <=> v130(constB147, 1)) | ((~v127(constB147, 0)) <=> v130(constB147, 0))) | (~((~v127(constB147, 1)) <=> v130(constB147, 1)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20172,plain,
% 7.04/5.24 (~((~v127(constB147, 1)) <=> v130(constB147, 1))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20171, 18002])).
% 7.04/5.24 tff(20173,plain,
% 7.04/5.24 ((v130(constB147, 2) | v130(constB147, 0) | (~v130(constB147, 1))) | v130(constB147, 1)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20174,plain,
% 7.04/5.24 (v130(constB147, 1)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20173, 20035])).
% 7.04/5.24 tff(20175,plain,
% 7.04/5.24 (((~v127(constB147, 1)) <=> v130(constB147, 1)) | v127(constB147, 1) | (~v130(constB147, 1))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20176,plain,
% 7.04/5.24 (v127(constB147, 1)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20175, 20174, 20172])).
% 7.04/5.24 tff(20177,plain,
% 7.04/5.24 (((~v129(constB148, 1)) <=> v127(constB147, 1)) | v129(constB148, 1) | (~v127(constB147, 1))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20178,plain,
% 7.04/5.24 (v129(constB148, 1)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20177, 20176, 20170])).
% 7.04/5.24 tff(20179,plain,
% 7.04/5.24 ((((~v90(constB148, 2)) <=> v129(constB148, 2)) | ((~v90(constB148, 1)) <=> v129(constB148, 1)) | ((~v90(constB148, 0)) <=> v129(constB148, 0))) | (~((~v90(constB148, 1)) <=> v129(constB148, 1)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20180,plain,
% 7.04/5.24 (~((~v90(constB148, 1)) <=> v129(constB148, 1))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20179, 20142])).
% 7.04/5.24 tff(20181,plain,
% 7.04/5.24 (((~v90(constB148, 1)) <=> v129(constB148, 1)) | v90(constB148, 1) | (~v129(constB148, 1))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20182,plain,
% 7.04/5.24 (v90(constB148, 1)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20181, 20180, 20178])).
% 7.04/5.24 tff(20183,plain,
% 7.04/5.24 (((~v90(constB149, 1)) <=> v90(constB148, 1)) | v90(constB149, 1) | (~v90(constB148, 1))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20184,plain,
% 7.04/5.24 (v90(constB149, 1)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20183, 20182, 20168])).
% 7.04/5.24 tff(20185,plain,
% 7.04/5.24 ((~(v90(constB149, 2) | v90(constB149, 0) | (~v90(constB149, 1)))) | v90(constB149, 2) | v90(constB149, 0) | (~v90(constB149, 1))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20186,plain,
% 7.04/5.24 (~(v90(constB149, 2) | v90(constB149, 0) | (~v90(constB149, 1)))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20185, 20184, 20166, 20148])).
% 7.04/5.24 tff(20187,plain,
% 7.04/5.24 ((~(v121(constB149) <=> (~(v90(constB149, 2) | v90(constB149, 0) | (~v90(constB149, 1)))))) | v121(constB149) | (v90(constB149, 2) | v90(constB149, 0) | (~v90(constB149, 1)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20188,plain,
% 7.04/5.24 (v121(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20187, 20186, 17945])).
% 7.04/5.24 tff(20189,plain,
% 7.04/5.24 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB149)) | (~(v130(constB149, 2) | (~v130(constB149, 1)) | (~v130(constB149, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB149)) | (~(v130(constB149, 2) | (~v130(constB149, 1)) | (~v130(constB149, 0)))))),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20190,plain,
% 7.04/5.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB149)) | (~(v130(constB149, 2) | (~v130(constB149, 1)) | (~v130(constB149, 0)))))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20191,plain,
% 7.04/5.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB149)) | (~(v130(constB149, 2) | (~v130(constB149, 1)) | (~v130(constB149, 0))))),
% 7.04/5.24 inference(modus_ponens,[status(thm)],[20190, 20189])).
% 7.04/5.24 tff(20192,plain,
% 7.04/5.24 ((~v121(constB149)) | (~(v130(constB149, 2) | (~v130(constB149, 1)) | (~v130(constB149, 0))))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20191, 5420])).
% 7.04/5.24 tff(20193,plain,
% 7.04/5.24 (~(v130(constB149, 2) | (~v130(constB149, 1)) | (~v130(constB149, 0)))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20192, 20188])).
% 7.04/5.24 tff(20194,plain,
% 7.04/5.24 ((v130(constB149, 2) | (~v130(constB149, 1)) | (~v130(constB149, 0))) | (~v130(constB149, 2))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20195,plain,
% 7.04/5.24 (~v130(constB149, 2)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20194, 20193])).
% 7.04/5.24 tff(20196,plain,
% 7.04/5.24 (((~v127(constB149, 2)) <=> v130(constB149, 2)) | (~v127(constB149, 2)) | v130(constB149, 2)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20197,plain,
% 7.04/5.24 (~v127(constB149, 2)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20196, 20195, 17938])).
% 7.04/5.24 tff(20198,plain,
% 7.04/5.24 (((~v129(constB150, 2)) <=> v127(constB149, 2)) | (~v129(constB150, 2)) | v127(constB149, 2)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20199,plain,
% 7.04/5.24 (~v129(constB150, 2)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20198, 20197, 17924])).
% 7.04/5.24 tff(20200,plain,
% 7.04/5.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))))),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20201,plain,
% 7.04/5.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20202,plain,
% 7.04/5.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150)))))),
% 7.04/5.24 inference(modus_ponens,[status(thm)],[20201, 20200])).
% 7.04/5.24 tff(20203,plain,
% 7.04/5.24 (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20202, 17918, 273])).
% 7.04/5.24 tff(20204,plain,
% 7.04/5.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20205,plain,
% 7.04/5.24 (((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150)))))) <=> ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20206,plain,
% 7.04/5.24 (((~![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) <=> (~((~v1(constB150)) | (~v102(constB150)))))))),
% 7.04/5.24 inference(monotonicity,[status(thm)],[20205])).
% 7.04/5.24 tff(20207,plain,
% 7.04/5.24 (((~![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) <=> (~((~v1(constB150)) | (~v102(constB150))))))),
% 7.04/5.24 inference(transitivity,[status(thm)],[20206, 20204])).
% 7.04/5.24 tff(20208,plain,
% 7.04/5.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150))))))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20209,plain,
% 7.04/5.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150)))))),
% 7.04/5.24 inference(modus_ponens,[status(thm)],[20208, 20207])).
% 7.04/5.24 tff(20210,plain,
% 7.04/5.24 (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20209, 17918, 293])).
% 7.04/5.24 tff(20211,plain,
% 7.04/5.24 (((~![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)))),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20212,plain,
% 7.04/5.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150)))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20213,plain,
% 7.04/5.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150))),
% 7.04/5.24 inference(modus_ponens,[status(thm)],[20212, 20211])).
% 7.04/5.24 tff(20214,plain,
% 7.04/5.24 ((~v102(constB150)) <=> v104(constB150)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20213, 17918, 4609])).
% 7.04/5.24 tff(20215,plain,
% 7.04/5.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149)))),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20216,plain,
% 7.04/5.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149)))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20217,plain,
% 7.04/5.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149))),
% 7.04/5.24 inference(modus_ponens,[status(thm)],[20216, 20215])).
% 7.04/5.24 tff(20218,plain,
% 7.04/5.24 (v104(constB150) <=> v1(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20217, 17918, 4623])).
% 7.04/5.24 tff(20219,plain,
% 7.04/5.24 ((~(v104(constB150) <=> v1(constB149))) | (~v104(constB150)) | v1(constB149)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20220,plain,
% 7.04/5.24 ((~(v104(constB150) <=> v1(constB149))) | (~v104(constB150))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20219, 17962])).
% 7.04/5.24 tff(20221,plain,
% 7.04/5.24 (~v104(constB150)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20220, 20218])).
% 7.04/5.24 tff(20222,plain,
% 7.04/5.24 ((~((~v102(constB150)) <=> v104(constB150))) | v102(constB150) | v104(constB150)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20223,plain,
% 7.04/5.24 (v102(constB150)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20222, 20221, 20214])).
% 7.04/5.24 tff(20224,plain,
% 7.04/5.24 (v1(constB150) <=> v1(constB150)),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20225,axiom,(v1(constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_150')).
% 7.04/5.24 tff(20226,plain,
% 7.04/5.24 (v1(constB150)),
% 7.04/5.24 inference(modus_ponens,[status(thm)],[20225, 20224])).
% 7.04/5.24 tff(20227,plain,
% 7.04/5.24 ((~((~v1(constB150)) | (~v102(constB150)))) | (~v1(constB150)) | (~v102(constB150))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20228,plain,
% 7.04/5.24 ((~((~v1(constB150)) | (~v102(constB150)))) | (~v102(constB150))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20227, 20226])).
% 7.04/5.24 tff(20229,plain,
% 7.04/5.24 (~((~v1(constB150)) | (~v102(constB150)))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20228, 20223])).
% 7.04/5.24 tff(20230,plain,
% 7.04/5.24 ((~(v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150)))))) | v101(constB150) | ((~v1(constB150)) | (~v102(constB150)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20231,plain,
% 7.04/5.24 (v101(constB150)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20230, 20229, 20210])).
% 7.04/5.24 tff(20232,plain,
% 7.04/5.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149)))),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20233,plain,
% 7.04/5.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149)))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20234,plain,
% 7.04/5.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149))),
% 7.04/5.24 inference(modus_ponens,[status(thm)],[20233, 20232])).
% 7.04/5.24 tff(20235,plain,
% 7.04/5.24 (v110(constB150) <=> v108(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20234, 17918, 4650])).
% 7.04/5.24 tff(20236,plain,
% 7.04/5.24 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB149) <=> (v111(constB149) | v112(constB149)))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20237,plain,
% 7.04/5.24 (v108(constB149) <=> (v111(constB149) | v112(constB149))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20236, 4661])).
% 7.04/5.24 tff(20238,plain,
% 7.04/5.24 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149)))))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20239,plain,
% 7.04/5.24 (v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149))))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20238, 4673])).
% 7.04/5.24 tff(20240,plain,
% 7.04/5.24 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB149) <=> (v114(constB149) | v125(constB149)))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20241,plain,
% 7.04/5.24 (v113(constB149) <=> (v114(constB149) | v125(constB149))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20240, 4682])).
% 7.04/5.24 tff(20242,plain,
% 7.04/5.24 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB149) <=> (v115(constB149) | v124(constB149)))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20243,plain,
% 7.04/5.24 (v114(constB149) <=> (v115(constB149) | v124(constB149))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20242, 4691])).
% 7.04/5.24 tff(20244,plain,
% 7.04/5.24 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB149) <=> (v116(constB149) | v123(constB149)))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20245,plain,
% 7.04/5.24 (v115(constB149) <=> (v116(constB149) | v123(constB149))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20244, 4700])).
% 7.04/5.24 tff(20246,plain,
% 7.04/5.24 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB149) <=> (v117(constB149) | v122(constB149)))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20247,plain,
% 7.04/5.24 (v116(constB149) <=> (v117(constB149) | v122(constB149))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20246, 4709])).
% 7.04/5.24 tff(20248,plain,
% 7.04/5.24 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB149) <=> (v118(constB149) | v121(constB149)))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20249,plain,
% 7.04/5.24 (v117(constB149) <=> (v118(constB149) | v121(constB149))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20248, 4718])).
% 7.04/5.24 tff(20250,plain,
% 7.04/5.24 ((v118(constB149) | v121(constB149)) | (~v121(constB149))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20251,plain,
% 7.04/5.24 (v118(constB149) | v121(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20250, 20188])).
% 7.04/5.24 tff(20252,plain,
% 7.04/5.24 ((~(v117(constB149) <=> (v118(constB149) | v121(constB149)))) | v117(constB149) | (~(v118(constB149) | v121(constB149)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20253,plain,
% 7.04/5.24 (v117(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20252, 20251, 20249])).
% 7.04/5.24 tff(20254,plain,
% 7.04/5.24 ((v117(constB149) | v122(constB149)) | (~v117(constB149))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20255,plain,
% 7.04/5.24 (v117(constB149) | v122(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20254, 20253])).
% 7.04/5.24 tff(20256,plain,
% 7.04/5.24 ((~(v116(constB149) <=> (v117(constB149) | v122(constB149)))) | v116(constB149) | (~(v117(constB149) | v122(constB149)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20257,plain,
% 7.04/5.24 (v116(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20256, 20255, 20247])).
% 7.04/5.24 tff(20258,plain,
% 7.04/5.24 ((v116(constB149) | v123(constB149)) | (~v116(constB149))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20259,plain,
% 7.04/5.24 (v116(constB149) | v123(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20258, 20257])).
% 7.04/5.24 tff(20260,plain,
% 7.04/5.24 ((~(v115(constB149) <=> (v116(constB149) | v123(constB149)))) | v115(constB149) | (~(v116(constB149) | v123(constB149)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20261,plain,
% 7.04/5.24 (v115(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20260, 20259, 20245])).
% 7.04/5.24 tff(20262,plain,
% 7.04/5.24 ((v115(constB149) | v124(constB149)) | (~v115(constB149))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20263,plain,
% 7.04/5.24 (v115(constB149) | v124(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20262, 20261])).
% 7.04/5.24 tff(20264,plain,
% 7.04/5.24 ((~(v114(constB149) <=> (v115(constB149) | v124(constB149)))) | v114(constB149) | (~(v115(constB149) | v124(constB149)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20265,plain,
% 7.04/5.24 (v114(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20264, 20263, 20243])).
% 7.04/5.24 tff(20266,plain,
% 7.04/5.24 ((v114(constB149) | v125(constB149)) | (~v114(constB149))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20267,plain,
% 7.04/5.24 (v114(constB149) | v125(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20266, 20265])).
% 7.04/5.24 tff(20268,plain,
% 7.04/5.24 ((~(v113(constB149) <=> (v114(constB149) | v125(constB149)))) | v113(constB149) | (~(v114(constB149) | v125(constB149)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20269,plain,
% 7.04/5.24 (v113(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20268, 20267, 20241])).
% 7.04/5.24 tff(20270,plain,
% 7.04/5.24 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB149)) <=> v111(constB149))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20271,plain,
% 7.04/5.24 ((~v126(constB149)) <=> v111(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20270, 4761])).
% 7.04/5.24 tff(20272,plain,
% 7.04/5.24 ((~((~v126(constB149)) <=> v111(constB149))) | v126(constB149) | v111(constB149)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20273,plain,
% 7.04/5.24 ((~((~v126(constB149)) <=> v111(constB149))) | v126(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20272, 17931])).
% 7.04/5.24 tff(20274,plain,
% 7.04/5.24 (v126(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20273, 20271])).
% 7.04/5.24 tff(20275,plain,
% 7.04/5.24 ((~((~v113(constB149)) | (~v126(constB149)))) | (~v113(constB149)) | (~v126(constB149))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20276,plain,
% 7.04/5.24 ((~((~v113(constB149)) | (~v126(constB149)))) | (~v113(constB149))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20275, 20274])).
% 7.04/5.24 tff(20277,plain,
% 7.04/5.24 (~((~v113(constB149)) | (~v126(constB149)))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20276, 20269])).
% 7.04/5.24 tff(20278,plain,
% 7.04/5.24 ((~(v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149)))))) | v112(constB149) | ((~v113(constB149)) | (~v126(constB149)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20279,plain,
% 7.04/5.24 (v112(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20278, 20277, 20239])).
% 7.04/5.24 tff(20280,plain,
% 7.04/5.24 ((v111(constB149) | v112(constB149)) | (~v112(constB149))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20281,plain,
% 7.04/5.24 (v111(constB149) | v112(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20280, 20279])).
% 7.04/5.24 tff(20282,plain,
% 7.04/5.24 ((~(v108(constB149) <=> (v111(constB149) | v112(constB149)))) | v108(constB149) | (~(v111(constB149) | v112(constB149)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20283,plain,
% 7.04/5.24 (v108(constB149)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20282, 20281, 20237])).
% 7.04/5.24 tff(20284,plain,
% 7.04/5.24 ((~(v110(constB150) <=> v108(constB149))) | v110(constB150) | (~v108(constB149))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20285,plain,
% 7.04/5.24 (v110(constB150)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20284, 20283, 20235])).
% 7.04/5.24 tff(20286,plain,
% 7.04/5.24 ((~((~v101(constB150)) | (~v110(constB150)))) | (~v101(constB150)) | (~v110(constB150))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20287,plain,
% 7.04/5.24 (~((~v101(constB150)) | (~v110(constB150)))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20286, 20285, 20231])).
% 7.04/5.24 tff(20288,plain,
% 7.04/5.24 ((~(v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150)))))) | v100(constB150) | ((~v101(constB150)) | (~v110(constB150)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20289,plain,
% 7.04/5.24 (v100(constB150)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20288, 20287, 20203])).
% 7.04/5.24 tff(20290,plain,
% 7.04/5.24 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB150)) | (~(((~v90(constB150, 0)) <=> v129(constB150, 0)) | ((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB150)) | (~(((~v90(constB150, 0)) <=> v129(constB150, 0)) | ((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1)))))),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20291,plain,
% 7.04/5.24 (((~v100(constB150)) | (~(((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1)) | ((~v90(constB150, 0)) <=> v129(constB150, 0))))) <=> ((~v100(constB150)) | (~(((~v90(constB150, 0)) <=> v129(constB150, 0)) | ((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1)))))),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20292,plain,
% 7.04/5.24 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB150)) | (~(((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1)) | ((~v90(constB150, 0)) <=> v129(constB150, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB150)) | (~(((~v90(constB150, 0)) <=> v129(constB150, 0)) | ((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1))))))),
% 7.04/5.24 inference(monotonicity,[status(thm)],[20291])).
% 7.04/5.24 tff(20293,plain,
% 7.04/5.24 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB150)) | (~(((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1)) | ((~v90(constB150, 0)) <=> v129(constB150, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB150)) | (~(((~v90(constB150, 0)) <=> v129(constB150, 0)) | ((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1)))))),
% 7.04/5.24 inference(transitivity,[status(thm)],[20292, 20290])).
% 7.04/5.24 tff(20294,plain,
% 7.04/5.24 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB150)) | (~(((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1)) | ((~v90(constB150, 0)) <=> v129(constB150, 0)))))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20295,plain,
% 7.04/5.24 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB150)) | (~(((~v90(constB150, 0)) <=> v129(constB150, 0)) | ((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1))))),
% 7.04/5.24 inference(modus_ponens,[status(thm)],[20294, 20293])).
% 7.04/5.24 tff(20296,plain,
% 7.04/5.24 ((~v100(constB150)) | (~(((~v90(constB150, 0)) <=> v129(constB150, 0)) | ((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1))))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20295, 4794])).
% 7.04/5.24 tff(20297,plain,
% 7.04/5.24 (~(((~v90(constB150, 0)) <=> v129(constB150, 0)) | ((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1)))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20296, 20289])).
% 7.04/5.24 tff(20298,plain,
% 7.04/5.24 ((((~v90(constB150, 0)) <=> v129(constB150, 0)) | ((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1))) | (~((~v90(constB150, 2)) <=> v129(constB150, 2)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20299,plain,
% 7.04/5.24 (~((~v90(constB150, 2)) <=> v129(constB150, 2))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20298, 20297])).
% 7.04/5.24 tff(20300,plain,
% 7.04/5.24 (((~v90(constB150, 2)) <=> v129(constB150, 2)) | (~v90(constB150, 2)) | v129(constB150, 2)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20301,plain,
% 7.04/5.24 (~v90(constB150, 2)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20300, 20299, 20199])).
% 7.04/5.24 tff(20302,plain,
% 7.04/5.24 (((~v90(constB151, 2)) <=> v90(constB150, 2)) | (~v90(constB151, 2)) | v90(constB150, 2)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20303,plain,
% 7.04/5.24 (~v90(constB151, 2)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20302, 20301, 17915])).
% 7.04/5.24 tff(20304,plain,
% 7.04/5.24 ((((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 0)) <=> v90(constB150, 0))) | (~((~v90(constB151, 0)) <=> v90(constB150, 0)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20305,plain,
% 7.04/5.24 (~((~v90(constB151, 0)) <=> v90(constB150, 0))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20304, 17913])).
% 7.04/5.24 tff(20306,plain,
% 7.04/5.24 ((((~v129(constB150, 2)) <=> v127(constB149, 2)) | ((~v129(constB150, 1)) <=> v127(constB149, 1)) | ((~v129(constB150, 0)) <=> v127(constB149, 0))) | (~((~v129(constB150, 0)) <=> v127(constB149, 0)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20307,plain,
% 7.04/5.24 (~((~v129(constB150, 0)) <=> v127(constB149, 0))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20306, 17922])).
% 7.04/5.24 tff(20308,plain,
% 7.04/5.24 ((((~v127(constB149, 2)) <=> v130(constB149, 2)) | ((~v127(constB149, 1)) <=> v130(constB149, 1)) | ((~v127(constB149, 0)) <=> v130(constB149, 0))) | (~((~v127(constB149, 0)) <=> v130(constB149, 0)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20309,plain,
% 7.04/5.24 (~((~v127(constB149, 0)) <=> v130(constB149, 0))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20308, 17936])).
% 7.04/5.24 tff(20310,plain,
% 7.04/5.24 ((v130(constB149, 2) | (~v130(constB149, 1)) | (~v130(constB149, 0))) | v130(constB149, 0)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20311,plain,
% 7.04/5.24 (v130(constB149, 0)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20310, 20193])).
% 7.04/5.24 tff(20312,plain,
% 7.04/5.24 (((~v127(constB149, 0)) <=> v130(constB149, 0)) | v127(constB149, 0) | (~v130(constB149, 0))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20313,plain,
% 7.04/5.24 (v127(constB149, 0)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20312, 20311, 20309])).
% 7.04/5.24 tff(20314,plain,
% 7.04/5.24 (((~v129(constB150, 0)) <=> v127(constB149, 0)) | v129(constB150, 0) | (~v127(constB149, 0))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20315,plain,
% 7.04/5.24 (v129(constB150, 0)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20314, 20313, 20307])).
% 7.04/5.24 tff(20316,plain,
% 7.04/5.24 ((((~v90(constB150, 0)) <=> v129(constB150, 0)) | ((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1))) | (~((~v90(constB150, 0)) <=> v129(constB150, 0)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20317,plain,
% 7.04/5.24 (~((~v90(constB150, 0)) <=> v129(constB150, 0))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20316, 20297])).
% 7.04/5.24 tff(20318,plain,
% 7.04/5.24 (((~v90(constB150, 0)) <=> v129(constB150, 0)) | v90(constB150, 0) | (~v129(constB150, 0))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20319,plain,
% 7.04/5.24 (v90(constB150, 0)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20318, 20317, 20315])).
% 7.04/5.24 tff(20320,plain,
% 7.04/5.24 (((~v90(constB151, 0)) <=> v90(constB150, 0)) | v90(constB151, 0) | (~v90(constB150, 0))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20321,plain,
% 7.04/5.24 (v90(constB151, 0)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20320, 20319, 20305])).
% 7.04/5.24 tff(20322,plain,
% 7.04/5.24 ((((~v90(constB151, 1)) <=> v90(constB150, 1)) | ((~v90(constB151, 2)) <=> v90(constB150, 2)) | ((~v90(constB151, 0)) <=> v90(constB150, 0))) | (~((~v90(constB151, 1)) <=> v90(constB150, 1)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20323,plain,
% 7.04/5.24 (~((~v90(constB151, 1)) <=> v90(constB150, 1))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20322, 17913])).
% 7.04/5.24 tff(20324,plain,
% 7.04/5.24 ((((~v129(constB150, 2)) <=> v127(constB149, 2)) | ((~v129(constB150, 1)) <=> v127(constB149, 1)) | ((~v129(constB150, 0)) <=> v127(constB149, 0))) | (~((~v129(constB150, 1)) <=> v127(constB149, 1)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20325,plain,
% 7.04/5.24 (~((~v129(constB150, 1)) <=> v127(constB149, 1))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20324, 17922])).
% 7.04/5.24 tff(20326,plain,
% 7.04/5.24 ((((~v127(constB149, 2)) <=> v130(constB149, 2)) | ((~v127(constB149, 1)) <=> v130(constB149, 1)) | ((~v127(constB149, 0)) <=> v130(constB149, 0))) | (~((~v127(constB149, 1)) <=> v130(constB149, 1)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20327,plain,
% 7.04/5.24 (~((~v127(constB149, 1)) <=> v130(constB149, 1))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20326, 17936])).
% 7.04/5.24 tff(20328,plain,
% 7.04/5.24 ((v130(constB149, 2) | (~v130(constB149, 1)) | (~v130(constB149, 0))) | v130(constB149, 1)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20329,plain,
% 7.04/5.24 (v130(constB149, 1)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20328, 20193])).
% 7.04/5.24 tff(20330,plain,
% 7.04/5.24 (((~v127(constB149, 1)) <=> v130(constB149, 1)) | v127(constB149, 1) | (~v130(constB149, 1))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20331,plain,
% 7.04/5.24 (v127(constB149, 1)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20330, 20329, 20327])).
% 7.04/5.24 tff(20332,plain,
% 7.04/5.24 (((~v129(constB150, 1)) <=> v127(constB149, 1)) | v129(constB150, 1) | (~v127(constB149, 1))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20333,plain,
% 7.04/5.24 (v129(constB150, 1)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20332, 20331, 20325])).
% 7.04/5.24 tff(20334,plain,
% 7.04/5.24 ((((~v90(constB150, 0)) <=> v129(constB150, 0)) | ((~v90(constB150, 2)) <=> v129(constB150, 2)) | ((~v90(constB150, 1)) <=> v129(constB150, 1))) | (~((~v90(constB150, 1)) <=> v129(constB150, 1)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20335,plain,
% 7.04/5.24 (~((~v90(constB150, 1)) <=> v129(constB150, 1))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20334, 20297])).
% 7.04/5.24 tff(20336,plain,
% 7.04/5.24 (((~v90(constB150, 1)) <=> v129(constB150, 1)) | v90(constB150, 1) | (~v129(constB150, 1))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20337,plain,
% 7.04/5.24 (v90(constB150, 1)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20336, 20335, 20333])).
% 7.04/5.24 tff(20338,plain,
% 7.04/5.24 (((~v90(constB151, 1)) <=> v90(constB150, 1)) | v90(constB151, 1) | (~v90(constB150, 1))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20339,plain,
% 7.04/5.24 (v90(constB151, 1)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20338, 20337, 20323])).
% 7.04/5.24 tff(20340,plain,
% 7.04/5.24 ((~(v90(constB151, 2) | (~v90(constB151, 1)) | (~v90(constB151, 0)))) | v90(constB151, 2) | (~v90(constB151, 1)) | (~v90(constB151, 0))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20341,plain,
% 7.04/5.24 (~(v90(constB151, 2) | (~v90(constB151, 1)) | (~v90(constB151, 0)))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20340, 20339, 20321, 20303])).
% 7.04/5.24 tff(20342,plain,
% 7.04/5.24 ((~(v122(constB151) <=> (~(v90(constB151, 2) | (~v90(constB151, 1)) | (~v90(constB151, 0)))))) | v122(constB151) | (v90(constB151, 2) | (~v90(constB151, 1)) | (~v90(constB151, 0)))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20343,plain,
% 7.04/5.24 (v122(constB151)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20342, 20341, 17879])).
% 7.04/5.24 tff(20344,plain,
% 7.04/5.24 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB151)) | (~(v130(constB151, 1) | v130(constB151, 0) | (~v130(constB151, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB151)) | (~(v130(constB151, 1) | v130(constB151, 0) | (~v130(constB151, 2)))))),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20345,plain,
% 7.04/5.24 (((~v122(constB151)) | (~(v130(constB151, 0) | v130(constB151, 1) | (~v130(constB151, 2))))) <=> ((~v122(constB151)) | (~(v130(constB151, 1) | v130(constB151, 0) | (~v130(constB151, 2)))))),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20346,plain,
% 7.04/5.24 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB151)) | (~(v130(constB151, 0) | v130(constB151, 1) | (~v130(constB151, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB151)) | (~(v130(constB151, 1) | v130(constB151, 0) | (~v130(constB151, 2))))))),
% 7.04/5.24 inference(monotonicity,[status(thm)],[20345])).
% 7.04/5.24 tff(20347,plain,
% 7.04/5.24 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB151)) | (~(v130(constB151, 0) | v130(constB151, 1) | (~v130(constB151, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB151)) | (~(v130(constB151, 1) | v130(constB151, 0) | (~v130(constB151, 2)))))),
% 7.04/5.24 inference(transitivity,[status(thm)],[20346, 20344])).
% 7.04/5.24 tff(20348,plain,
% 7.04/5.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB151)) | (~(v130(constB151, 0) | v130(constB151, 1) | (~v130(constB151, 2)))))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20349,plain,
% 7.04/5.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB151)) | (~(v130(constB151, 1) | v130(constB151, 0) | (~v130(constB151, 2))))),
% 7.04/5.24 inference(modus_ponens,[status(thm)],[20348, 20347])).
% 7.04/5.24 tff(20350,plain,
% 7.04/5.24 ((~v122(constB151)) | (~(v130(constB151, 1) | v130(constB151, 0) | (~v130(constB151, 2))))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20349, 5588])).
% 7.04/5.24 tff(20351,plain,
% 7.04/5.24 (~(v130(constB151, 1) | v130(constB151, 0) | (~v130(constB151, 2)))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20350, 20343])).
% 7.04/5.24 tff(20352,plain,
% 7.04/5.24 ((v130(constB151, 1) | v130(constB151, 0) | (~v130(constB151, 2))) | v130(constB151, 2)),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20353,plain,
% 7.04/5.24 (v130(constB151, 2)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20352, 20351])).
% 7.04/5.24 tff(20354,plain,
% 7.04/5.24 (((~v127(constB151, 2)) <=> v130(constB151, 2)) | v127(constB151, 2) | (~v130(constB151, 2))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20355,plain,
% 7.04/5.24 (v127(constB151, 2)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20354, 20353, 17872])).
% 7.04/5.24 tff(20356,plain,
% 7.04/5.24 (((~v129(constB152, 2)) <=> v127(constB151, 2)) | v129(constB152, 2) | (~v127(constB151, 2))),
% 7.04/5.24 inference(tautology,[status(thm)],[])).
% 7.04/5.24 tff(20357,plain,
% 7.04/5.24 (v129(constB152, 2)),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20356, 20355, 17858])).
% 7.04/5.24 tff(20358,plain,
% 7.04/5.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))))),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20359,plain,
% 7.04/5.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))))),
% 7.04/5.24 inference(quant_inst,[status(thm)],[])).
% 7.04/5.24 tff(20360,plain,
% 7.04/5.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152)))))),
% 7.04/5.24 inference(modus_ponens,[status(thm)],[20359, 20358])).
% 7.04/5.24 tff(20361,plain,
% 7.04/5.24 (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))),
% 7.04/5.24 inference(unit_resolution,[status(thm)],[20360, 17852, 273])).
% 7.04/5.24 tff(20362,plain,
% 7.04/5.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20363,plain,
% 7.04/5.24 (((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152)))))) <=> ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))),
% 7.04/5.24 inference(rewrite,[status(thm)],[])).
% 7.04/5.24 tff(20364,plain,
% 7.04/5.24 (((~![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) <=> (~((~v1(constB152)) | (~v102(constB152)))))))),
% 7.04/5.24 inference(monotonicity,[status(thm)],[20363])).
% 7.04/5.24 tff(20365,plain,
% 7.04/5.24 (((~![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) <=> (~((~v1(constB152)) | (~v102(constB152))))))),
% 7.04/5.24 inference(transitivity,[status(thm)],[20364, 20362])).
% 7.04/5.24 tff(20366,plain,
% 7.04/5.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152))))))),
% 7.04/5.25 inference(quant_inst,[status(thm)],[])).
% 7.04/5.25 tff(20367,plain,
% 7.04/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152)))))),
% 7.04/5.25 inference(modus_ponens,[status(thm)],[20366, 20365])).
% 7.04/5.25 tff(20368,plain,
% 7.04/5.25 (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))),
% 7.04/5.25 inference(unit_resolution,[status(thm)],[20367, 17852, 293])).
% 7.04/5.25 tff(20369,plain,
% 7.04/5.25 (((~![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)))),
% 7.04/5.25 inference(rewrite,[status(thm)],[])).
% 7.04/5.25 tff(20370,plain,
% 7.04/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152)))),
% 7.04/5.25 inference(quant_inst,[status(thm)],[])).
% 7.04/5.25 tff(20371,plain,
% 7.04/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152))),
% 7.04/5.25 inference(modus_ponens,[status(thm)],[20370, 20369])).
% 7.04/5.25 tff(20372,plain,
% 7.04/5.25 ((~v102(constB152)) <=> v104(constB152)),
% 7.04/5.25 inference(unit_resolution,[status(thm)],[20371, 17852, 4609])).
% 7.04/5.25 tff(20373,plain,
% 7.04/5.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151)))),
% 7.04/5.25 inference(rewrite,[status(thm)],[])).
% 7.04/5.25 tff(20374,plain,
% 7.04/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151)))),
% 7.04/5.25 inference(quant_inst,[status(thm)],[])).
% 7.04/5.25 tff(20375,plain,
% 7.04/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151))),
% 7.04/5.25 inference(modus_ponens,[status(thm)],[20374, 20373])).
% 7.04/5.25 tff(20376,plain,
% 7.04/5.25 (v104(constB152) <=> v1(constB151)),
% 7.04/5.25 inference(unit_resolution,[status(thm)],[20375, 17852, 4623])).
% 7.04/5.25 tff(20377,plain,
% 7.04/5.25 ((~(v104(constB152) <=> v1(constB151))) | (~v104(constB152)) | v1(constB151)),
% 7.04/5.25 inference(tautology,[status(thm)],[])).
% 7.04/5.25 tff(20378,plain,
% 7.04/5.25 ((~(v104(constB152) <=> v1(constB151))) | (~v104(constB152))),
% 7.04/5.25 inference(unit_resolution,[status(thm)],[20377, 17896])).
% 7.04/5.25 tff(20379,plain,
% 7.04/5.25 (~v104(constB152)),
% 7.04/5.25 inference(unit_resolution,[status(thm)],[20378, 20376])).
% 7.04/5.25 tff(20380,plain,
% 7.04/5.25 ((~((~v102(constB152)) <=> v104(constB152))) | v102(constB152) | v104(constB152)),
% 7.04/5.25 inference(tautology,[status(thm)],[])).
% 7.04/5.25 tff(20381,plain,
% 7.04/5.25 (v102(constB152)),
% 7.04/5.25 inference(unit_resolution,[status(thm)],[20380, 20379, 20372])).
% 7.04/5.25 tff(20382,plain,
% 7.04/5.25 (v1(constB152) <=> v1(constB152)),
% 7.04/5.25 inference(rewrite,[status(thm)],[])).
% 7.04/5.25 tff(20383,axiom,(v1(constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_152')).
% 7.04/5.25 tff(20384,plain,
% 7.04/5.25 (v1(constB152)),
% 7.04/5.25 inference(modus_ponens,[status(thm)],[20383, 20382])).
% 7.04/5.25 tff(20385,plain,
% 7.04/5.25 ((~((~v1(constB152)) | (~v102(constB152)))) | (~v1(constB152)) | (~v102(constB152))),
% 7.04/5.25 inference(tautology,[status(thm)],[])).
% 7.04/5.25 tff(20386,plain,
% 7.04/5.25 ((~((~v1(constB152)) | (~v102(constB152)))) | (~v102(constB152))),
% 7.04/5.25 inference(unit_resolution,[status(thm)],[20385, 20384])).
% 7.04/5.25 tff(20387,plain,
% 7.06/5.25 (~((~v1(constB152)) | (~v102(constB152)))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20386, 20381])).
% 7.06/5.25 tff(20388,plain,
% 7.06/5.25 ((~(v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152)))))) | v101(constB152) | ((~v1(constB152)) | (~v102(constB152)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20389,plain,
% 7.06/5.25 (v101(constB152)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20388, 20387, 20368])).
% 7.06/5.25 tff(20390,plain,
% 7.06/5.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151)))),
% 7.06/5.25 inference(rewrite,[status(thm)],[])).
% 7.06/5.25 tff(20391,plain,
% 7.06/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151)))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20392,plain,
% 7.06/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151))),
% 7.06/5.25 inference(modus_ponens,[status(thm)],[20391, 20390])).
% 7.06/5.25 tff(20393,plain,
% 7.06/5.25 (v110(constB152) <=> v108(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20392, 17852, 4650])).
% 7.06/5.25 tff(20394,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB151) <=> (v111(constB151) | v112(constB151)))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20395,plain,
% 7.06/5.25 (v108(constB151) <=> (v111(constB151) | v112(constB151))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20394, 4661])).
% 7.06/5.25 tff(20396,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151)))))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20397,plain,
% 7.06/5.25 (v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151))))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20396, 4673])).
% 7.06/5.25 tff(20398,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB151) <=> (v114(constB151) | v125(constB151)))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20399,plain,
% 7.06/5.25 (v113(constB151) <=> (v114(constB151) | v125(constB151))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20398, 4682])).
% 7.06/5.25 tff(20400,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB151) <=> (v115(constB151) | v124(constB151)))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20401,plain,
% 7.06/5.25 (v114(constB151) <=> (v115(constB151) | v124(constB151))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20400, 4691])).
% 7.06/5.25 tff(20402,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB151) <=> (v116(constB151) | v123(constB151)))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20403,plain,
% 7.06/5.25 (v115(constB151) <=> (v116(constB151) | v123(constB151))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20402, 4700])).
% 7.06/5.25 tff(20404,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB151) <=> (v117(constB151) | v122(constB151)))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20405,plain,
% 7.06/5.25 (v116(constB151) <=> (v117(constB151) | v122(constB151))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20404, 4709])).
% 7.06/5.25 tff(20406,plain,
% 7.06/5.25 ((v117(constB151) | v122(constB151)) | (~v122(constB151))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20407,plain,
% 7.06/5.25 (v117(constB151) | v122(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20406, 20343])).
% 7.06/5.25 tff(20408,plain,
% 7.06/5.25 ((~(v116(constB151) <=> (v117(constB151) | v122(constB151)))) | v116(constB151) | (~(v117(constB151) | v122(constB151)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20409,plain,
% 7.06/5.25 (v116(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20408, 20407, 20405])).
% 7.06/5.25 tff(20410,plain,
% 7.06/5.25 ((v116(constB151) | v123(constB151)) | (~v116(constB151))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20411,plain,
% 7.06/5.25 (v116(constB151) | v123(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20410, 20409])).
% 7.06/5.25 tff(20412,plain,
% 7.06/5.25 ((~(v115(constB151) <=> (v116(constB151) | v123(constB151)))) | v115(constB151) | (~(v116(constB151) | v123(constB151)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20413,plain,
% 7.06/5.25 (v115(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20412, 20411, 20403])).
% 7.06/5.25 tff(20414,plain,
% 7.06/5.25 ((v115(constB151) | v124(constB151)) | (~v115(constB151))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20415,plain,
% 7.06/5.25 (v115(constB151) | v124(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20414, 20413])).
% 7.06/5.25 tff(20416,plain,
% 7.06/5.25 ((~(v114(constB151) <=> (v115(constB151) | v124(constB151)))) | v114(constB151) | (~(v115(constB151) | v124(constB151)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20417,plain,
% 7.06/5.25 (v114(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20416, 20415, 20401])).
% 7.06/5.25 tff(20418,plain,
% 7.06/5.25 ((v114(constB151) | v125(constB151)) | (~v114(constB151))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20419,plain,
% 7.06/5.25 (v114(constB151) | v125(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20418, 20417])).
% 7.06/5.25 tff(20420,plain,
% 7.06/5.25 ((~(v113(constB151) <=> (v114(constB151) | v125(constB151)))) | v113(constB151) | (~(v114(constB151) | v125(constB151)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20421,plain,
% 7.06/5.25 (v113(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20420, 20419, 20399])).
% 7.06/5.25 tff(20422,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB151)) <=> v111(constB151))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20423,plain,
% 7.06/5.25 ((~v126(constB151)) <=> v111(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20422, 4761])).
% 7.06/5.25 tff(20424,plain,
% 7.06/5.25 ((~((~v126(constB151)) <=> v111(constB151))) | v126(constB151) | v111(constB151)),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20425,plain,
% 7.06/5.25 ((~((~v126(constB151)) <=> v111(constB151))) | v126(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20424, 17865])).
% 7.06/5.25 tff(20426,plain,
% 7.06/5.25 (v126(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20425, 20423])).
% 7.06/5.25 tff(20427,plain,
% 7.06/5.25 ((~((~v113(constB151)) | (~v126(constB151)))) | (~v113(constB151)) | (~v126(constB151))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20428,plain,
% 7.06/5.25 ((~((~v113(constB151)) | (~v126(constB151)))) | (~v113(constB151))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20427, 20426])).
% 7.06/5.25 tff(20429,plain,
% 7.06/5.25 (~((~v113(constB151)) | (~v126(constB151)))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20428, 20421])).
% 7.06/5.25 tff(20430,plain,
% 7.06/5.25 ((~(v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151)))))) | v112(constB151) | ((~v113(constB151)) | (~v126(constB151)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20431,plain,
% 7.06/5.25 (v112(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20430, 20429, 20397])).
% 7.06/5.25 tff(20432,plain,
% 7.06/5.25 ((v111(constB151) | v112(constB151)) | (~v112(constB151))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20433,plain,
% 7.06/5.25 (v111(constB151) | v112(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20432, 20431])).
% 7.06/5.25 tff(20434,plain,
% 7.06/5.25 ((~(v108(constB151) <=> (v111(constB151) | v112(constB151)))) | v108(constB151) | (~(v111(constB151) | v112(constB151)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20435,plain,
% 7.06/5.25 (v108(constB151)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20434, 20433, 20395])).
% 7.06/5.25 tff(20436,plain,
% 7.06/5.25 ((~(v110(constB152) <=> v108(constB151))) | v110(constB152) | (~v108(constB151))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20437,plain,
% 7.06/5.25 (v110(constB152)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20436, 20435, 20393])).
% 7.06/5.25 tff(20438,plain,
% 7.06/5.25 ((~((~v101(constB152)) | (~v110(constB152)))) | (~v101(constB152)) | (~v110(constB152))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20439,plain,
% 7.06/5.25 (~((~v101(constB152)) | (~v110(constB152)))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20438, 20437, 20389])).
% 7.06/5.25 tff(20440,plain,
% 7.06/5.25 ((~(v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152)))))) | v100(constB152) | ((~v101(constB152)) | (~v110(constB152)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20441,plain,
% 7.06/5.25 (v100(constB152)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20440, 20439, 20361])).
% 7.06/5.25 tff(20442,plain,
% 7.06/5.25 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB152)) | (~(((~v90(constB152, 2)) <=> v129(constB152, 2)) | ((~v90(constB152, 1)) <=> v129(constB152, 1)) | ((~v90(constB152, 0)) <=> v129(constB152, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB152)) | (~(((~v90(constB152, 2)) <=> v129(constB152, 2)) | ((~v90(constB152, 1)) <=> v129(constB152, 1)) | ((~v90(constB152, 0)) <=> v129(constB152, 0)))))),
% 7.06/5.25 inference(rewrite,[status(thm)],[])).
% 7.06/5.25 tff(20443,plain,
% 7.06/5.25 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB152)) | (~(((~v90(constB152, 2)) <=> v129(constB152, 2)) | ((~v90(constB152, 1)) <=> v129(constB152, 1)) | ((~v90(constB152, 0)) <=> v129(constB152, 0)))))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20444,plain,
% 7.06/5.25 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB152)) | (~(((~v90(constB152, 2)) <=> v129(constB152, 2)) | ((~v90(constB152, 1)) <=> v129(constB152, 1)) | ((~v90(constB152, 0)) <=> v129(constB152, 0))))),
% 7.06/5.25 inference(modus_ponens,[status(thm)],[20443, 20442])).
% 7.06/5.25 tff(20445,plain,
% 7.06/5.25 ((~v100(constB152)) | (~(((~v90(constB152, 2)) <=> v129(constB152, 2)) | ((~v90(constB152, 1)) <=> v129(constB152, 1)) | ((~v90(constB152, 0)) <=> v129(constB152, 0))))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20444, 4794])).
% 7.06/5.25 tff(20446,plain,
% 7.06/5.25 (~(((~v90(constB152, 2)) <=> v129(constB152, 2)) | ((~v90(constB152, 1)) <=> v129(constB152, 1)) | ((~v90(constB152, 0)) <=> v129(constB152, 0)))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20445, 20441])).
% 7.06/5.25 tff(20447,plain,
% 7.06/5.25 ((((~v90(constB152, 2)) <=> v129(constB152, 2)) | ((~v90(constB152, 1)) <=> v129(constB152, 1)) | ((~v90(constB152, 0)) <=> v129(constB152, 0))) | (~((~v90(constB152, 2)) <=> v129(constB152, 2)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20448,plain,
% 7.06/5.25 (~((~v90(constB152, 2)) <=> v129(constB152, 2))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20447, 20446])).
% 7.06/5.25 tff(20449,plain,
% 7.06/5.25 (((~v90(constB152, 2)) <=> v129(constB152, 2)) | v90(constB152, 2) | (~v129(constB152, 2))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20450,plain,
% 7.06/5.25 (v90(constB152, 2)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20449, 20448, 20357])).
% 7.06/5.25 tff(20451,plain,
% 7.06/5.25 (((~v90(constB153, 2)) <=> v90(constB152, 2)) | v90(constB153, 2) | (~v90(constB152, 2))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20452,plain,
% 7.06/5.25 (v90(constB153, 2)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20451, 20450, 17849])).
% 7.06/5.25 tff(20453,plain,
% 7.06/5.25 ((((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 0)) <=> v90(constB152, 0))) | (~((~v90(constB153, 0)) <=> v90(constB152, 0)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20454,plain,
% 7.06/5.25 (~((~v90(constB153, 0)) <=> v90(constB152, 0))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20453, 17847])).
% 7.06/5.25 tff(20455,plain,
% 7.06/5.25 ((((~v129(constB152, 2)) <=> v127(constB151, 2)) | ((~v129(constB152, 1)) <=> v127(constB151, 1)) | ((~v129(constB152, 0)) <=> v127(constB151, 0))) | (~((~v129(constB152, 0)) <=> v127(constB151, 0)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20456,plain,
% 7.06/5.25 (~((~v129(constB152, 0)) <=> v127(constB151, 0))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20455, 17856])).
% 7.06/5.25 tff(20457,plain,
% 7.06/5.25 ((((~v127(constB151, 2)) <=> v130(constB151, 2)) | ((~v127(constB151, 1)) <=> v130(constB151, 1)) | ((~v127(constB151, 0)) <=> v130(constB151, 0))) | (~((~v127(constB151, 0)) <=> v130(constB151, 0)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20458,plain,
% 7.06/5.25 (~((~v127(constB151, 0)) <=> v130(constB151, 0))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20457, 17870])).
% 7.06/5.25 tff(20459,plain,
% 7.06/5.25 ((v130(constB151, 1) | v130(constB151, 0) | (~v130(constB151, 2))) | (~v130(constB151, 0))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20460,plain,
% 7.06/5.25 (~v130(constB151, 0)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20459, 20351])).
% 7.06/5.25 tff(20461,plain,
% 7.06/5.25 (((~v127(constB151, 0)) <=> v130(constB151, 0)) | (~v127(constB151, 0)) | v130(constB151, 0)),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20462,plain,
% 7.06/5.25 (~v127(constB151, 0)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20461, 20460, 20458])).
% 7.06/5.25 tff(20463,plain,
% 7.06/5.25 (((~v129(constB152, 0)) <=> v127(constB151, 0)) | (~v129(constB152, 0)) | v127(constB151, 0)),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20464,plain,
% 7.06/5.25 (~v129(constB152, 0)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20463, 20462, 20456])).
% 7.06/5.25 tff(20465,plain,
% 7.06/5.25 ((((~v90(constB152, 2)) <=> v129(constB152, 2)) | ((~v90(constB152, 1)) <=> v129(constB152, 1)) | ((~v90(constB152, 0)) <=> v129(constB152, 0))) | (~((~v90(constB152, 0)) <=> v129(constB152, 0)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20466,plain,
% 7.06/5.25 (~((~v90(constB152, 0)) <=> v129(constB152, 0))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20465, 20446])).
% 7.06/5.25 tff(20467,plain,
% 7.06/5.25 (((~v90(constB152, 0)) <=> v129(constB152, 0)) | (~v90(constB152, 0)) | v129(constB152, 0)),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20468,plain,
% 7.06/5.25 (~v90(constB152, 0)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20467, 20466, 20464])).
% 7.06/5.25 tff(20469,plain,
% 7.06/5.25 (((~v90(constB153, 0)) <=> v90(constB152, 0)) | (~v90(constB153, 0)) | v90(constB152, 0)),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20470,plain,
% 7.06/5.25 (~v90(constB153, 0)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20469, 20468, 20454])).
% 7.06/5.25 tff(20471,plain,
% 7.06/5.25 ((((~v90(constB153, 1)) <=> v90(constB152, 1)) | ((~v90(constB153, 2)) <=> v90(constB152, 2)) | ((~v90(constB153, 0)) <=> v90(constB152, 0))) | (~((~v90(constB153, 1)) <=> v90(constB152, 1)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20472,plain,
% 7.06/5.25 (~((~v90(constB153, 1)) <=> v90(constB152, 1))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20471, 17847])).
% 7.06/5.25 tff(20473,plain,
% 7.06/5.25 ((((~v129(constB152, 2)) <=> v127(constB151, 2)) | ((~v129(constB152, 1)) <=> v127(constB151, 1)) | ((~v129(constB152, 0)) <=> v127(constB151, 0))) | (~((~v129(constB152, 1)) <=> v127(constB151, 1)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20474,plain,
% 7.06/5.25 (~((~v129(constB152, 1)) <=> v127(constB151, 1))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20473, 17856])).
% 7.06/5.25 tff(20475,plain,
% 7.06/5.25 ((((~v127(constB151, 2)) <=> v130(constB151, 2)) | ((~v127(constB151, 1)) <=> v130(constB151, 1)) | ((~v127(constB151, 0)) <=> v130(constB151, 0))) | (~((~v127(constB151, 1)) <=> v130(constB151, 1)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20476,plain,
% 7.06/5.25 (~((~v127(constB151, 1)) <=> v130(constB151, 1))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20475, 17870])).
% 7.06/5.25 tff(20477,plain,
% 7.06/5.25 ((v130(constB151, 1) | v130(constB151, 0) | (~v130(constB151, 2))) | (~v130(constB151, 1))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20478,plain,
% 7.06/5.25 (~v130(constB151, 1)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20477, 20351])).
% 7.06/5.25 tff(20479,plain,
% 7.06/5.25 (((~v127(constB151, 1)) <=> v130(constB151, 1)) | (~v127(constB151, 1)) | v130(constB151, 1)),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20480,plain,
% 7.06/5.25 (~v127(constB151, 1)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20479, 20478, 20476])).
% 7.06/5.25 tff(20481,plain,
% 7.06/5.25 (((~v129(constB152, 1)) <=> v127(constB151, 1)) | (~v129(constB152, 1)) | v127(constB151, 1)),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20482,plain,
% 7.06/5.25 (~v129(constB152, 1)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20481, 20480, 20474])).
% 7.06/5.25 tff(20483,plain,
% 7.06/5.25 ((((~v90(constB152, 2)) <=> v129(constB152, 2)) | ((~v90(constB152, 1)) <=> v129(constB152, 1)) | ((~v90(constB152, 0)) <=> v129(constB152, 0))) | (~((~v90(constB152, 1)) <=> v129(constB152, 1)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20484,plain,
% 7.06/5.25 (~((~v90(constB152, 1)) <=> v129(constB152, 1))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20483, 20446])).
% 7.06/5.25 tff(20485,plain,
% 7.06/5.25 (((~v90(constB152, 1)) <=> v129(constB152, 1)) | (~v90(constB152, 1)) | v129(constB152, 1)),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20486,plain,
% 7.06/5.25 (~v90(constB152, 1)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20485, 20484, 20482])).
% 7.06/5.25 tff(20487,plain,
% 7.06/5.25 (((~v90(constB153, 1)) <=> v90(constB152, 1)) | (~v90(constB153, 1)) | v90(constB152, 1)),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20488,plain,
% 7.06/5.25 (~v90(constB153, 1)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20487, 20486, 20472])).
% 7.06/5.25 tff(20489,plain,
% 7.06/5.25 ((~(v90(constB153, 1) | v90(constB153, 0) | (~v90(constB153, 2)))) | v90(constB153, 1) | v90(constB153, 0) | (~v90(constB153, 2))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20490,plain,
% 7.06/5.25 (~(v90(constB153, 1) | v90(constB153, 0) | (~v90(constB153, 2)))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20489, 20488, 20470, 20452])).
% 7.06/5.25 tff(20491,plain,
% 7.06/5.25 ((~(v123(constB153) <=> (~(v90(constB153, 1) | v90(constB153, 0) | (~v90(constB153, 2)))))) | v123(constB153) | (v90(constB153, 1) | v90(constB153, 0) | (~v90(constB153, 2)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20492,plain,
% 7.06/5.25 (v123(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20491, 20490, 17813])).
% 7.06/5.25 tff(20493,plain,
% 7.06/5.25 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB153)) | (~(v130(constB153, 0) | (~v130(constB153, 2)) | (~v130(constB153, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB153)) | (~(v130(constB153, 0) | (~v130(constB153, 2)) | (~v130(constB153, 1)))))),
% 7.06/5.25 inference(rewrite,[status(thm)],[])).
% 7.06/5.25 tff(20494,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB153)) | (~(v130(constB153, 0) | (~v130(constB153, 2)) | (~v130(constB153, 1)))))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20495,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB153)) | (~(v130(constB153, 0) | (~v130(constB153, 2)) | (~v130(constB153, 1))))),
% 7.06/5.25 inference(modus_ponens,[status(thm)],[20494, 20493])).
% 7.06/5.25 tff(20496,plain,
% 7.06/5.25 ((~v123(constB153)) | (~(v130(constB153, 0) | (~v130(constB153, 2)) | (~v130(constB153, 1))))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20495, 4861])).
% 7.06/5.25 tff(20497,plain,
% 7.06/5.25 (~(v130(constB153, 0) | (~v130(constB153, 2)) | (~v130(constB153, 1)))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20496, 20492])).
% 7.06/5.25 tff(20498,plain,
% 7.06/5.25 ((v130(constB153, 0) | (~v130(constB153, 2)) | (~v130(constB153, 1))) | (~v130(constB153, 0))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20499,plain,
% 7.06/5.25 (~v130(constB153, 0)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20498, 20497])).
% 7.06/5.25 tff(20500,plain,
% 7.06/5.25 (((~v127(constB153, 0)) <=> v130(constB153, 0)) | (~v127(constB153, 0)) | v130(constB153, 0)),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20501,plain,
% 7.06/5.25 (~v127(constB153, 0)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20500, 20499, 17806])).
% 7.06/5.25 tff(20502,plain,
% 7.06/5.25 (((~v129(constB154, 0)) <=> v127(constB153, 0)) | (~v129(constB154, 0)) | v127(constB153, 0)),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20503,plain,
% 7.06/5.25 (~v129(constB154, 0)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20502, 20501, 17792])).
% 7.06/5.25 tff(20504,plain,
% 7.06/5.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))))),
% 7.06/5.25 inference(rewrite,[status(thm)],[])).
% 7.06/5.25 tff(20505,plain,
% 7.06/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20506,plain,
% 7.06/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154)))))),
% 7.06/5.25 inference(modus_ponens,[status(thm)],[20505, 20504])).
% 7.06/5.25 tff(20507,plain,
% 7.06/5.25 (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20506, 17786, 273])).
% 7.06/5.25 tff(20508,plain,
% 7.06/5.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))),
% 7.06/5.25 inference(rewrite,[status(thm)],[])).
% 7.06/5.25 tff(20509,plain,
% 7.06/5.25 (((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154)))))) <=> ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))),
% 7.06/5.25 inference(rewrite,[status(thm)],[])).
% 7.06/5.25 tff(20510,plain,
% 7.06/5.25 (((~![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) <=> (~((~v1(constB154)) | (~v102(constB154)))))))),
% 7.06/5.25 inference(monotonicity,[status(thm)],[20509])).
% 7.06/5.25 tff(20511,plain,
% 7.06/5.25 (((~![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) <=> (~((~v1(constB154)) | (~v102(constB154))))))),
% 7.06/5.25 inference(transitivity,[status(thm)],[20510, 20508])).
% 7.06/5.25 tff(20512,plain,
% 7.06/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154))))))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20513,plain,
% 7.06/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154)))))),
% 7.06/5.25 inference(modus_ponens,[status(thm)],[20512, 20511])).
% 7.06/5.25 tff(20514,plain,
% 7.06/5.25 (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20513, 17786, 293])).
% 7.06/5.25 tff(20515,plain,
% 7.06/5.25 (((~![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)))),
% 7.06/5.25 inference(rewrite,[status(thm)],[])).
% 7.06/5.25 tff(20516,plain,
% 7.06/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154)))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20517,plain,
% 7.06/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154))),
% 7.06/5.25 inference(modus_ponens,[status(thm)],[20516, 20515])).
% 7.06/5.25 tff(20518,plain,
% 7.06/5.25 ((~v102(constB154)) <=> v104(constB154)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20517, 17786, 4609])).
% 7.06/5.25 tff(20519,plain,
% 7.06/5.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153)))),
% 7.06/5.25 inference(rewrite,[status(thm)],[])).
% 7.06/5.25 tff(20520,plain,
% 7.06/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153)))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20521,plain,
% 7.06/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153))),
% 7.06/5.25 inference(modus_ponens,[status(thm)],[20520, 20519])).
% 7.06/5.25 tff(20522,plain,
% 7.06/5.25 (v104(constB154) <=> v1(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20521, 17786, 4623])).
% 7.06/5.25 tff(20523,plain,
% 7.06/5.25 ((~(v104(constB154) <=> v1(constB153))) | (~v104(constB154)) | v1(constB153)),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20524,plain,
% 7.06/5.25 ((~(v104(constB154) <=> v1(constB153))) | (~v104(constB154))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20523, 17830])).
% 7.06/5.25 tff(20525,plain,
% 7.06/5.25 (~v104(constB154)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20524, 20522])).
% 7.06/5.25 tff(20526,plain,
% 7.06/5.25 ((~((~v102(constB154)) <=> v104(constB154))) | v102(constB154) | v104(constB154)),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20527,plain,
% 7.06/5.25 (v102(constB154)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20526, 20525, 20518])).
% 7.06/5.25 tff(20528,plain,
% 7.06/5.25 (v1(constB154) <=> v1(constB154)),
% 7.06/5.25 inference(rewrite,[status(thm)],[])).
% 7.06/5.25 tff(20529,axiom,(v1(constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_154')).
% 7.06/5.25 tff(20530,plain,
% 7.06/5.25 (v1(constB154)),
% 7.06/5.25 inference(modus_ponens,[status(thm)],[20529, 20528])).
% 7.06/5.25 tff(20531,plain,
% 7.06/5.25 ((~((~v1(constB154)) | (~v102(constB154)))) | (~v1(constB154)) | (~v102(constB154))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20532,plain,
% 7.06/5.25 ((~((~v1(constB154)) | (~v102(constB154)))) | (~v102(constB154))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20531, 20530])).
% 7.06/5.25 tff(20533,plain,
% 7.06/5.25 (~((~v1(constB154)) | (~v102(constB154)))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20532, 20527])).
% 7.06/5.25 tff(20534,plain,
% 7.06/5.25 ((~(v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154)))))) | v101(constB154) | ((~v1(constB154)) | (~v102(constB154)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20535,plain,
% 7.06/5.25 (v101(constB154)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20534, 20533, 20514])).
% 7.06/5.25 tff(20536,plain,
% 7.06/5.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153)))),
% 7.06/5.25 inference(rewrite,[status(thm)],[])).
% 7.06/5.25 tff(20537,plain,
% 7.06/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153)))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20538,plain,
% 7.06/5.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153))),
% 7.06/5.25 inference(modus_ponens,[status(thm)],[20537, 20536])).
% 7.06/5.25 tff(20539,plain,
% 7.06/5.25 (v110(constB154) <=> v108(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20538, 17786, 4650])).
% 7.06/5.25 tff(20540,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB153) <=> (v111(constB153) | v112(constB153)))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20541,plain,
% 7.06/5.25 (v108(constB153) <=> (v111(constB153) | v112(constB153))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20540, 4661])).
% 7.06/5.25 tff(20542,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153)))))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20543,plain,
% 7.06/5.25 (v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153))))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20542, 4673])).
% 7.06/5.25 tff(20544,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB153) <=> (v114(constB153) | v125(constB153)))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20545,plain,
% 7.06/5.25 (v113(constB153) <=> (v114(constB153) | v125(constB153))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20544, 4682])).
% 7.06/5.25 tff(20546,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB153) <=> (v115(constB153) | v124(constB153)))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20547,plain,
% 7.06/5.25 (v114(constB153) <=> (v115(constB153) | v124(constB153))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20546, 4691])).
% 7.06/5.25 tff(20548,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB153) <=> (v116(constB153) | v123(constB153)))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20549,plain,
% 7.06/5.25 (v115(constB153) <=> (v116(constB153) | v123(constB153))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20548, 4700])).
% 7.06/5.25 tff(20550,plain,
% 7.06/5.25 ((v116(constB153) | v123(constB153)) | (~v123(constB153))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20551,plain,
% 7.06/5.25 (v116(constB153) | v123(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20550, 20492])).
% 7.06/5.25 tff(20552,plain,
% 7.06/5.25 ((~(v115(constB153) <=> (v116(constB153) | v123(constB153)))) | v115(constB153) | (~(v116(constB153) | v123(constB153)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20553,plain,
% 7.06/5.25 (v115(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20552, 20551, 20549])).
% 7.06/5.25 tff(20554,plain,
% 7.06/5.25 ((v115(constB153) | v124(constB153)) | (~v115(constB153))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20555,plain,
% 7.06/5.25 (v115(constB153) | v124(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20554, 20553])).
% 7.06/5.25 tff(20556,plain,
% 7.06/5.25 ((~(v114(constB153) <=> (v115(constB153) | v124(constB153)))) | v114(constB153) | (~(v115(constB153) | v124(constB153)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20557,plain,
% 7.06/5.25 (v114(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20556, 20555, 20547])).
% 7.06/5.25 tff(20558,plain,
% 7.06/5.25 ((v114(constB153) | v125(constB153)) | (~v114(constB153))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20559,plain,
% 7.06/5.25 (v114(constB153) | v125(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20558, 20557])).
% 7.06/5.25 tff(20560,plain,
% 7.06/5.25 ((~(v113(constB153) <=> (v114(constB153) | v125(constB153)))) | v113(constB153) | (~(v114(constB153) | v125(constB153)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20561,plain,
% 7.06/5.25 (v113(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20560, 20559, 20545])).
% 7.06/5.25 tff(20562,plain,
% 7.06/5.25 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB153)) <=> v111(constB153))),
% 7.06/5.25 inference(quant_inst,[status(thm)],[])).
% 7.06/5.25 tff(20563,plain,
% 7.06/5.25 ((~v126(constB153)) <=> v111(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20562, 4761])).
% 7.06/5.25 tff(20564,plain,
% 7.06/5.25 ((~((~v126(constB153)) <=> v111(constB153))) | v126(constB153) | v111(constB153)),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20565,plain,
% 7.06/5.25 ((~((~v126(constB153)) <=> v111(constB153))) | v126(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20564, 17799])).
% 7.06/5.25 tff(20566,plain,
% 7.06/5.25 (v126(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20565, 20563])).
% 7.06/5.25 tff(20567,plain,
% 7.06/5.25 ((~((~v113(constB153)) | (~v126(constB153)))) | (~v113(constB153)) | (~v126(constB153))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20568,plain,
% 7.06/5.25 ((~((~v113(constB153)) | (~v126(constB153)))) | (~v113(constB153))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20567, 20566])).
% 7.06/5.25 tff(20569,plain,
% 7.06/5.25 (~((~v113(constB153)) | (~v126(constB153)))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20568, 20561])).
% 7.06/5.25 tff(20570,plain,
% 7.06/5.25 ((~(v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153)))))) | v112(constB153) | ((~v113(constB153)) | (~v126(constB153)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20571,plain,
% 7.06/5.25 (v112(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20570, 20569, 20543])).
% 7.06/5.25 tff(20572,plain,
% 7.06/5.25 ((v111(constB153) | v112(constB153)) | (~v112(constB153))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20573,plain,
% 7.06/5.25 (v111(constB153) | v112(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20572, 20571])).
% 7.06/5.25 tff(20574,plain,
% 7.06/5.25 ((~(v108(constB153) <=> (v111(constB153) | v112(constB153)))) | v108(constB153) | (~(v111(constB153) | v112(constB153)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20575,plain,
% 7.06/5.25 (v108(constB153)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20574, 20573, 20541])).
% 7.06/5.25 tff(20576,plain,
% 7.06/5.25 ((~(v110(constB154) <=> v108(constB153))) | v110(constB154) | (~v108(constB153))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20577,plain,
% 7.06/5.25 (v110(constB154)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20576, 20575, 20539])).
% 7.06/5.25 tff(20578,plain,
% 7.06/5.25 ((~((~v101(constB154)) | (~v110(constB154)))) | (~v101(constB154)) | (~v110(constB154))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20579,plain,
% 7.06/5.25 (~((~v101(constB154)) | (~v110(constB154)))),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20578, 20577, 20535])).
% 7.06/5.25 tff(20580,plain,
% 7.06/5.25 ((~(v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154)))))) | v100(constB154) | ((~v101(constB154)) | (~v110(constB154)))),
% 7.06/5.25 inference(tautology,[status(thm)],[])).
% 7.06/5.25 tff(20581,plain,
% 7.06/5.25 (v100(constB154)),
% 7.06/5.25 inference(unit_resolution,[status(thm)],[20580, 20579, 20507])).
% 7.06/5.25 tff(20582,plain,
% 7.06/5.25 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB154)) | (~(((~v90(constB154, 0)) <=> v129(constB154, 0)) | ((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB154)) | (~(((~v90(constB154, 0)) <=> v129(constB154, 0)) | ((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1)))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20583,plain,
% 7.06/5.26 (((~v100(constB154)) | (~(((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1)) | ((~v90(constB154, 0)) <=> v129(constB154, 0))))) <=> ((~v100(constB154)) | (~(((~v90(constB154, 0)) <=> v129(constB154, 0)) | ((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1)))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20584,plain,
% 7.06/5.26 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB154)) | (~(((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1)) | ((~v90(constB154, 0)) <=> v129(constB154, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB154)) | (~(((~v90(constB154, 0)) <=> v129(constB154, 0)) | ((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1))))))),
% 7.06/5.26 inference(monotonicity,[status(thm)],[20583])).
% 7.06/5.26 tff(20585,plain,
% 7.06/5.26 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB154)) | (~(((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1)) | ((~v90(constB154, 0)) <=> v129(constB154, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB154)) | (~(((~v90(constB154, 0)) <=> v129(constB154, 0)) | ((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1)))))),
% 7.06/5.26 inference(transitivity,[status(thm)],[20584, 20582])).
% 7.06/5.26 tff(20586,plain,
% 7.06/5.26 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB154)) | (~(((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1)) | ((~v90(constB154, 0)) <=> v129(constB154, 0)))))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20587,plain,
% 7.06/5.26 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB154)) | (~(((~v90(constB154, 0)) <=> v129(constB154, 0)) | ((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1))))),
% 7.06/5.26 inference(modus_ponens,[status(thm)],[20586, 20585])).
% 7.06/5.26 tff(20588,plain,
% 7.06/5.26 ((~v100(constB154)) | (~(((~v90(constB154, 0)) <=> v129(constB154, 0)) | ((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1))))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20587, 4794])).
% 7.06/5.26 tff(20589,plain,
% 7.06/5.26 (~(((~v90(constB154, 0)) <=> v129(constB154, 0)) | ((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1)))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20588, 20581])).
% 7.06/5.26 tff(20590,plain,
% 7.06/5.26 ((((~v90(constB154, 0)) <=> v129(constB154, 0)) | ((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1))) | (~((~v90(constB154, 0)) <=> v129(constB154, 0)))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20591,plain,
% 7.06/5.26 (~((~v90(constB154, 0)) <=> v129(constB154, 0))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20590, 20589])).
% 7.06/5.26 tff(20592,plain,
% 7.06/5.26 (((~v90(constB154, 0)) <=> v129(constB154, 0)) | (~v90(constB154, 0)) | v129(constB154, 0)),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20593,plain,
% 7.06/5.26 (~v90(constB154, 0)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20592, 20591, 20503])).
% 7.06/5.26 tff(20594,plain,
% 7.06/5.26 (((~v90(constB155, 0)) <=> v90(constB154, 0)) | (~v90(constB155, 0)) | v90(constB154, 0)),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20595,plain,
% 7.06/5.26 (~v90(constB155, 0)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20594, 20593, 17783])).
% 7.06/5.26 tff(20596,plain,
% 7.06/5.26 ((v90(constB155, 1) | v90(constB155, 2) | (~v90(constB155, 0))) | v90(constB155, 0)),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20597,plain,
% 7.06/5.26 (v90(constB155, 1) | v90(constB155, 2) | (~v90(constB155, 0))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20596, 20595])).
% 7.06/5.26 tff(20598,plain,
% 7.06/5.26 ((~(v120(constB155) <=> (~(v90(constB155, 1) | v90(constB155, 2) | (~v90(constB155, 0)))))) | (~v120(constB155)) | (~(v90(constB155, 1) | v90(constB155, 2) | (~v90(constB155, 0))))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20599,plain,
% 7.06/5.26 (~v120(constB155)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20598, 20597, 17747])).
% 7.06/5.26 tff(20600,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB155) <=> (~(v90(constB155, 1) | (~v90(constB155, 2)) | (~v90(constB155, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB155) <=> (~(v90(constB155, 1) | (~v90(constB155, 2)) | (~v90(constB155, 0))))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20601,plain,
% 7.06/5.26 ((v124(constB155) <=> (~(v90(constB155, 1) | (~v90(constB155, 0)) | (~v90(constB155, 2))))) <=> (v124(constB155) <=> (~(v90(constB155, 1) | (~v90(constB155, 2)) | (~v90(constB155, 0)))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20602,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB155) <=> (~(v90(constB155, 1) | (~v90(constB155, 0)) | (~v90(constB155, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB155) <=> (~(v90(constB155, 1) | (~v90(constB155, 2)) | (~v90(constB155, 0))))))),
% 7.06/5.26 inference(monotonicity,[status(thm)],[20601])).
% 7.06/5.26 tff(20603,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB155) <=> (~(v90(constB155, 1) | (~v90(constB155, 0)) | (~v90(constB155, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB155) <=> (~(v90(constB155, 1) | (~v90(constB155, 2)) | (~v90(constB155, 0))))))),
% 7.06/5.26 inference(transitivity,[status(thm)],[20602, 20600])).
% 7.06/5.26 tff(20604,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB155) <=> (~(v90(constB155, 1) | (~v90(constB155, 0)) | (~v90(constB155, 2)))))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20605,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB155) <=> (~(v90(constB155, 1) | (~v90(constB155, 2)) | (~v90(constB155, 0)))))),
% 7.06/5.26 inference(modus_ponens,[status(thm)],[20604, 20603])).
% 7.06/5.26 tff(20606,plain,
% 7.06/5.26 (v124(constB155) <=> (~(v90(constB155, 1) | (~v90(constB155, 2)) | (~v90(constB155, 0))))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20605, 4978])).
% 7.06/5.26 tff(20607,plain,
% 7.06/5.26 ((v90(constB155, 1) | (~v90(constB155, 2)) | (~v90(constB155, 0))) | v90(constB155, 0)),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20608,plain,
% 7.06/5.26 (v90(constB155, 1) | (~v90(constB155, 2)) | (~v90(constB155, 0))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20607, 20595])).
% 7.06/5.26 tff(20609,plain,
% 7.06/5.26 ((~(v124(constB155) <=> (~(v90(constB155, 1) | (~v90(constB155, 2)) | (~v90(constB155, 0)))))) | (~v124(constB155)) | (~(v90(constB155, 1) | (~v90(constB155, 2)) | (~v90(constB155, 0))))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20610,plain,
% 7.06/5.26 (~v124(constB155)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20609, 20608, 20606])).
% 7.06/5.26 tff(20611,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB155) <=> (~(v90(constB155, 1) | v90(constB155, 0) | (~v90(constB155, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB155) <=> (~(v90(constB155, 1) | v90(constB155, 0) | (~v90(constB155, 2))))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20612,plain,
% 7.06/5.26 ((v123(constB155) <=> (~(v90(constB155, 0) | v90(constB155, 1) | (~v90(constB155, 2))))) <=> (v123(constB155) <=> (~(v90(constB155, 1) | v90(constB155, 0) | (~v90(constB155, 2)))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20613,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB155) <=> (~(v90(constB155, 0) | v90(constB155, 1) | (~v90(constB155, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB155) <=> (~(v90(constB155, 1) | v90(constB155, 0) | (~v90(constB155, 2))))))),
% 7.06/5.26 inference(monotonicity,[status(thm)],[20612])).
% 7.06/5.26 tff(20614,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB155) <=> (~(v90(constB155, 0) | v90(constB155, 1) | (~v90(constB155, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB155) <=> (~(v90(constB155, 1) | v90(constB155, 0) | (~v90(constB155, 2))))))),
% 7.06/5.26 inference(transitivity,[status(thm)],[20613, 20611])).
% 7.06/5.26 tff(20615,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB155) <=> (~(v90(constB155, 0) | v90(constB155, 1) | (~v90(constB155, 2)))))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20616,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB155) <=> (~(v90(constB155, 1) | v90(constB155, 0) | (~v90(constB155, 2)))))),
% 7.06/5.26 inference(modus_ponens,[status(thm)],[20615, 20614])).
% 7.06/5.26 tff(20617,plain,
% 7.06/5.26 (v123(constB155) <=> (~(v90(constB155, 1) | v90(constB155, 0) | (~v90(constB155, 2))))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20616, 565])).
% 7.06/5.26 tff(20618,plain,
% 7.06/5.26 ((((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 0)) <=> v90(constB154, 0))) | (~((~v90(constB155, 1)) <=> v90(constB154, 1)))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20619,plain,
% 7.06/5.26 (~((~v90(constB155, 1)) <=> v90(constB154, 1))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20618, 17781])).
% 7.06/5.26 tff(20620,plain,
% 7.06/5.26 ((((~v129(constB154, 2)) <=> v127(constB153, 2)) | ((~v129(constB154, 1)) <=> v127(constB153, 1)) | ((~v129(constB154, 0)) <=> v127(constB153, 0))) | (~((~v129(constB154, 1)) <=> v127(constB153, 1)))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20621,plain,
% 7.06/5.26 (~((~v129(constB154, 1)) <=> v127(constB153, 1))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20620, 17790])).
% 7.06/5.26 tff(20622,plain,
% 7.06/5.26 ((((~v127(constB153, 2)) <=> v130(constB153, 2)) | ((~v127(constB153, 1)) <=> v130(constB153, 1)) | ((~v127(constB153, 0)) <=> v130(constB153, 0))) | (~((~v127(constB153, 1)) <=> v130(constB153, 1)))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20623,plain,
% 7.06/5.26 (~((~v127(constB153, 1)) <=> v130(constB153, 1))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20622, 17804])).
% 7.06/5.26 tff(20624,plain,
% 7.06/5.26 ((v130(constB153, 0) | (~v130(constB153, 2)) | (~v130(constB153, 1))) | v130(constB153, 1)),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20625,plain,
% 7.06/5.26 (v130(constB153, 1)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20624, 20497])).
% 7.06/5.26 tff(20626,plain,
% 7.06/5.26 (((~v127(constB153, 1)) <=> v130(constB153, 1)) | v127(constB153, 1) | (~v130(constB153, 1))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20627,plain,
% 7.06/5.26 (v127(constB153, 1)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20626, 20625, 20623])).
% 7.06/5.26 tff(20628,plain,
% 7.06/5.26 (((~v129(constB154, 1)) <=> v127(constB153, 1)) | v129(constB154, 1) | (~v127(constB153, 1))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20629,plain,
% 7.06/5.26 (v129(constB154, 1)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20628, 20627, 20621])).
% 7.06/5.26 tff(20630,plain,
% 7.06/5.26 ((((~v90(constB154, 0)) <=> v129(constB154, 0)) | ((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1))) | (~((~v90(constB154, 1)) <=> v129(constB154, 1)))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20631,plain,
% 7.06/5.26 (~((~v90(constB154, 1)) <=> v129(constB154, 1))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20630, 20589])).
% 7.06/5.26 tff(20632,plain,
% 7.06/5.26 (((~v90(constB154, 1)) <=> v129(constB154, 1)) | v90(constB154, 1) | (~v129(constB154, 1))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20633,plain,
% 7.06/5.26 (v90(constB154, 1)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20632, 20631, 20629])).
% 7.06/5.26 tff(20634,plain,
% 7.06/5.26 (((~v90(constB155, 1)) <=> v90(constB154, 1)) | v90(constB155, 1) | (~v90(constB154, 1))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20635,plain,
% 7.06/5.26 (v90(constB155, 1)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20634, 20633, 20619])).
% 7.06/5.26 tff(20636,plain,
% 7.06/5.26 ((v90(constB155, 1) | v90(constB155, 0) | (~v90(constB155, 2))) | (~v90(constB155, 1))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20637,plain,
% 7.06/5.26 (v90(constB155, 1) | v90(constB155, 0) | (~v90(constB155, 2))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20636, 20635])).
% 7.06/5.26 tff(20638,plain,
% 7.06/5.26 ((~(v123(constB155) <=> (~(v90(constB155, 1) | v90(constB155, 0) | (~v90(constB155, 2)))))) | (~v123(constB155)) | (~(v90(constB155, 1) | v90(constB155, 0) | (~v90(constB155, 2))))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20639,plain,
% 7.06/5.26 (~v123(constB155)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20638, 20637, 20617])).
% 7.06/5.26 tff(20640,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB155) <=> (~(v90(constB155, 2) | (~v90(constB155, 1)) | (~v90(constB155, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB155) <=> (~(v90(constB155, 2) | (~v90(constB155, 1)) | (~v90(constB155, 0))))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20641,plain,
% 7.06/5.26 ((v122(constB155) <=> (~(v90(constB155, 2) | (~v90(constB155, 0)) | (~v90(constB155, 1))))) <=> (v122(constB155) <=> (~(v90(constB155, 2) | (~v90(constB155, 1)) | (~v90(constB155, 0)))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20642,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB155) <=> (~(v90(constB155, 2) | (~v90(constB155, 0)) | (~v90(constB155, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB155) <=> (~(v90(constB155, 2) | (~v90(constB155, 1)) | (~v90(constB155, 0))))))),
% 7.06/5.26 inference(monotonicity,[status(thm)],[20641])).
% 7.06/5.26 tff(20643,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB155) <=> (~(v90(constB155, 2) | (~v90(constB155, 0)) | (~v90(constB155, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB155) <=> (~(v90(constB155, 2) | (~v90(constB155, 1)) | (~v90(constB155, 0))))))),
% 7.06/5.26 inference(transitivity,[status(thm)],[20642, 20640])).
% 7.06/5.26 tff(20644,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB155) <=> (~(v90(constB155, 2) | (~v90(constB155, 0)) | (~v90(constB155, 1)))))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20645,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB155) <=> (~(v90(constB155, 2) | (~v90(constB155, 1)) | (~v90(constB155, 0)))))),
% 7.06/5.26 inference(modus_ponens,[status(thm)],[20644, 20643])).
% 7.06/5.26 tff(20646,plain,
% 7.06/5.26 (v122(constB155) <=> (~(v90(constB155, 2) | (~v90(constB155, 1)) | (~v90(constB155, 0))))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20645, 644])).
% 7.06/5.26 tff(20647,plain,
% 7.06/5.26 ((v90(constB155, 2) | (~v90(constB155, 1)) | (~v90(constB155, 0))) | v90(constB155, 0)),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20648,plain,
% 7.06/5.26 (v90(constB155, 2) | (~v90(constB155, 1)) | (~v90(constB155, 0))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20647, 20595])).
% 7.06/5.26 tff(20649,plain,
% 7.06/5.26 ((~(v122(constB155) <=> (~(v90(constB155, 2) | (~v90(constB155, 1)) | (~v90(constB155, 0)))))) | (~v122(constB155)) | (~(v90(constB155, 2) | (~v90(constB155, 1)) | (~v90(constB155, 0))))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20650,plain,
% 7.06/5.26 (~v122(constB155)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20649, 20648, 20646])).
% 7.06/5.26 tff(20651,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB155) <=> (~(v90(constB155, 2) | v90(constB155, 0) | (~v90(constB155, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB155) <=> (~(v90(constB155, 2) | v90(constB155, 0) | (~v90(constB155, 1))))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20652,plain,
% 7.06/5.26 ((v121(constB155) <=> (~(v90(constB155, 0) | v90(constB155, 2) | (~v90(constB155, 1))))) <=> (v121(constB155) <=> (~(v90(constB155, 2) | v90(constB155, 0) | (~v90(constB155, 1)))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20653,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB155) <=> (~(v90(constB155, 0) | v90(constB155, 2) | (~v90(constB155, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB155) <=> (~(v90(constB155, 2) | v90(constB155, 0) | (~v90(constB155, 1))))))),
% 7.06/5.26 inference(monotonicity,[status(thm)],[20652])).
% 7.06/5.26 tff(20654,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB155) <=> (~(v90(constB155, 0) | v90(constB155, 2) | (~v90(constB155, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB155) <=> (~(v90(constB155, 2) | v90(constB155, 0) | (~v90(constB155, 1))))))),
% 7.06/5.26 inference(transitivity,[status(thm)],[20653, 20651])).
% 7.06/5.26 tff(20655,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB155) <=> (~(v90(constB155, 0) | v90(constB155, 2) | (~v90(constB155, 1)))))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20656,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB155) <=> (~(v90(constB155, 2) | v90(constB155, 0) | (~v90(constB155, 1)))))),
% 7.06/5.26 inference(modus_ponens,[status(thm)],[20655, 20654])).
% 7.06/5.26 tff(20657,plain,
% 7.06/5.26 (v121(constB155) <=> (~(v90(constB155, 2) | v90(constB155, 0) | (~v90(constB155, 1))))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20656, 723])).
% 7.06/5.26 tff(20658,plain,
% 7.06/5.26 ((((~v90(constB155, 1)) <=> v90(constB154, 1)) | ((~v90(constB155, 2)) <=> v90(constB154, 2)) | ((~v90(constB155, 0)) <=> v90(constB154, 0))) | (~((~v90(constB155, 2)) <=> v90(constB154, 2)))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20659,plain,
% 7.06/5.26 (~((~v90(constB155, 2)) <=> v90(constB154, 2))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20658, 17781])).
% 7.06/5.26 tff(20660,plain,
% 7.06/5.26 ((((~v129(constB154, 2)) <=> v127(constB153, 2)) | ((~v129(constB154, 1)) <=> v127(constB153, 1)) | ((~v129(constB154, 0)) <=> v127(constB153, 0))) | (~((~v129(constB154, 2)) <=> v127(constB153, 2)))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20661,plain,
% 7.06/5.26 (~((~v129(constB154, 2)) <=> v127(constB153, 2))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20660, 17790])).
% 7.06/5.26 tff(20662,plain,
% 7.06/5.26 ((((~v127(constB153, 2)) <=> v130(constB153, 2)) | ((~v127(constB153, 1)) <=> v130(constB153, 1)) | ((~v127(constB153, 0)) <=> v130(constB153, 0))) | (~((~v127(constB153, 2)) <=> v130(constB153, 2)))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20663,plain,
% 7.06/5.26 (~((~v127(constB153, 2)) <=> v130(constB153, 2))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20662, 17804])).
% 7.06/5.26 tff(20664,plain,
% 7.06/5.26 ((v130(constB153, 0) | (~v130(constB153, 2)) | (~v130(constB153, 1))) | v130(constB153, 2)),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20665,plain,
% 7.06/5.26 (v130(constB153, 2)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20664, 20497])).
% 7.06/5.26 tff(20666,plain,
% 7.06/5.26 (((~v127(constB153, 2)) <=> v130(constB153, 2)) | v127(constB153, 2) | (~v130(constB153, 2))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20667,plain,
% 7.06/5.26 (v127(constB153, 2)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20666, 20665, 20663])).
% 7.06/5.26 tff(20668,plain,
% 7.06/5.26 (((~v129(constB154, 2)) <=> v127(constB153, 2)) | v129(constB154, 2) | (~v127(constB153, 2))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20669,plain,
% 7.06/5.26 (v129(constB154, 2)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20668, 20667, 20661])).
% 7.06/5.26 tff(20670,plain,
% 7.06/5.26 ((((~v90(constB154, 0)) <=> v129(constB154, 0)) | ((~v90(constB154, 2)) <=> v129(constB154, 2)) | ((~v90(constB154, 1)) <=> v129(constB154, 1))) | (~((~v90(constB154, 2)) <=> v129(constB154, 2)))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20671,plain,
% 7.06/5.26 (~((~v90(constB154, 2)) <=> v129(constB154, 2))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20670, 20589])).
% 7.06/5.26 tff(20672,plain,
% 7.06/5.26 (((~v90(constB154, 2)) <=> v129(constB154, 2)) | v90(constB154, 2) | (~v129(constB154, 2))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20673,plain,
% 7.06/5.26 (v90(constB154, 2)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20672, 20671, 20669])).
% 7.06/5.26 tff(20674,plain,
% 7.06/5.26 (((~v90(constB155, 2)) <=> v90(constB154, 2)) | v90(constB155, 2) | (~v90(constB154, 2))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20675,plain,
% 7.06/5.26 (v90(constB155, 2)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20674, 20673, 20659])).
% 7.06/5.26 tff(20676,plain,
% 7.06/5.26 ((v90(constB155, 2) | v90(constB155, 0) | (~v90(constB155, 1))) | (~v90(constB155, 2))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20677,plain,
% 7.06/5.26 (v90(constB155, 2) | v90(constB155, 0) | (~v90(constB155, 1))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20676, 20675])).
% 7.06/5.26 tff(20678,plain,
% 7.06/5.26 ((~(v121(constB155) <=> (~(v90(constB155, 2) | v90(constB155, 0) | (~v90(constB155, 1)))))) | (~v121(constB155)) | (~(v90(constB155, 2) | v90(constB155, 0) | (~v90(constB155, 1))))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20679,plain,
% 7.06/5.26 (~v121(constB155)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20678, 20677, 20657])).
% 7.06/5.26 tff(20680,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB155) <=> (~(v90(constB155, 0) | v90(constB155, 1) | v90(constB155, 2))))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20681,plain,
% 7.06/5.26 (v119(constB155) <=> (~(v90(constB155, 0) | v90(constB155, 1) | v90(constB155, 2)))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20680, 491])).
% 7.06/5.26 tff(20682,plain,
% 7.06/5.26 ((v90(constB155, 0) | v90(constB155, 1) | v90(constB155, 2)) | (~v90(constB155, 2))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20683,plain,
% 7.06/5.26 (v90(constB155, 0) | v90(constB155, 1) | v90(constB155, 2)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20682, 20675])).
% 7.06/5.26 tff(20684,plain,
% 7.06/5.26 ((~(v119(constB155) <=> (~(v90(constB155, 0) | v90(constB155, 1) | v90(constB155, 2))))) | (~v119(constB155)) | (~(v90(constB155, 0) | v90(constB155, 1) | v90(constB155, 2)))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20685,plain,
% 7.06/5.26 (~v119(constB155)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20684, 20683, 20681])).
% 7.06/5.26 tff(20686,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0)))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20687,plain,
% 7.06/5.26 ((v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | (~(v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0))))) <=> (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0)))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20688,plain,
% 7.06/5.26 ((~(v130(constB155, 1) | v130(constB155, 2) | (~v130(constB155, 0)))) <=> (~(v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20689,plain,
% 7.06/5.26 ((v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | (~(v130(constB155, 1) | v130(constB155, 2) | (~v130(constB155, 0))))) <=> (v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | (~(v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0)))))),
% 7.06/5.26 inference(monotonicity,[status(thm)],[20688])).
% 7.06/5.26 tff(20690,plain,
% 7.06/5.26 ((v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | (~(v130(constB155, 1) | v130(constB155, 2) | (~v130(constB155, 0))))) <=> (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0)))))),
% 7.06/5.26 inference(transitivity,[status(thm)],[20689, 20687])).
% 7.06/5.26 tff(20691,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | (~(v130(constB155, 1) | v130(constB155, 2) | (~v130(constB155, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0))))))),
% 7.06/5.26 inference(monotonicity,[status(thm)],[20690])).
% 7.06/5.26 tff(20692,plain,
% 7.06/5.26 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | (~(v130(constB155, 1) | v130(constB155, 2) | (~v130(constB155, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0)))))),
% 7.06/5.26 inference(transitivity,[status(thm)],[20691, 20686])).
% 7.06/5.26 tff(20693,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | (~(v130(constB155, 1) | v130(constB155, 2) | (~v130(constB155, 0)))))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20694,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0))))),
% 7.06/5.26 inference(modus_ponens,[status(thm)],[20693, 20692])).
% 7.06/5.26 tff(20695,plain,
% 7.06/5.26 (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0))))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20694, 5059])).
% 7.06/5.26 tff(20696,plain,
% 7.06/5.26 (~(v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0)))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20695, 20685, 20679, 20650, 20639, 20610, 20599])).
% 7.06/5.26 tff(20697,plain,
% 7.06/5.26 ((v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0))) | (~v130(constB155, 2))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20698,plain,
% 7.06/5.26 (~v130(constB155, 2)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20697, 20696])).
% 7.06/5.26 tff(20699,plain,
% 7.06/5.26 (((~v127(constB155, 2)) <=> v130(constB155, 2)) | (~v127(constB155, 2)) | v130(constB155, 2)),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20700,plain,
% 7.06/5.26 (~v127(constB155, 2)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20699, 20698, 17745])).
% 7.06/5.26 tff(20701,plain,
% 7.06/5.26 (((~v129(constB156, 2)) <=> v127(constB155, 2)) | (~v129(constB156, 2)) | v127(constB155, 2)),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20702,plain,
% 7.06/5.26 (~v129(constB156, 2)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20701, 20700, 17731])).
% 7.06/5.26 tff(20703,plain,
% 7.06/5.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20704,plain,
% 7.06/5.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20705,plain,
% 7.06/5.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156)))))),
% 7.06/5.26 inference(modus_ponens,[status(thm)],[20704, 20703])).
% 7.06/5.26 tff(20706,plain,
% 7.06/5.26 (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20705, 17725, 273])).
% 7.06/5.26 tff(20707,plain,
% 7.06/5.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20708,plain,
% 7.06/5.26 (((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156)))))) <=> ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20709,plain,
% 7.06/5.26 (((~![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) <=> (~((~v1(constB156)) | (~v102(constB156)))))))),
% 7.06/5.26 inference(monotonicity,[status(thm)],[20708])).
% 7.06/5.26 tff(20710,plain,
% 7.06/5.26 (((~![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) <=> (~((~v1(constB156)) | (~v102(constB156))))))),
% 7.06/5.26 inference(transitivity,[status(thm)],[20709, 20707])).
% 7.06/5.26 tff(20711,plain,
% 7.06/5.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156))))))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20712,plain,
% 7.06/5.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156)))))),
% 7.06/5.26 inference(modus_ponens,[status(thm)],[20711, 20710])).
% 7.06/5.26 tff(20713,plain,
% 7.06/5.26 (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20712, 17725, 293])).
% 7.06/5.26 tff(20714,plain,
% 7.06/5.26 (((~![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)))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20715,plain,
% 7.06/5.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156)))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20716,plain,
% 7.06/5.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156))),
% 7.06/5.26 inference(modus_ponens,[status(thm)],[20715, 20714])).
% 7.06/5.26 tff(20717,plain,
% 7.06/5.26 ((~v102(constB156)) <=> v104(constB156)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20716, 17725, 4609])).
% 7.06/5.26 tff(20718,plain,
% 7.06/5.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155)))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20719,plain,
% 7.06/5.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155)))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20720,plain,
% 7.06/5.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155))),
% 7.06/5.26 inference(modus_ponens,[status(thm)],[20719, 20718])).
% 7.06/5.26 tff(20721,plain,
% 7.06/5.26 (v104(constB156) <=> v1(constB155)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20720, 17725, 4623])).
% 7.06/5.26 tff(20722,plain,
% 7.06/5.26 ((~(v104(constB156) <=> v1(constB155))) | (~v104(constB156)) | v1(constB155)),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20723,plain,
% 7.06/5.26 ((~(v104(constB156) <=> v1(constB155))) | (~v104(constB156))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20722, 17764])).
% 7.06/5.26 tff(20724,plain,
% 7.06/5.26 (~v104(constB156)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20723, 20721])).
% 7.06/5.26 tff(20725,plain,
% 7.06/5.26 ((~((~v102(constB156)) <=> v104(constB156))) | v102(constB156) | v104(constB156)),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20726,plain,
% 7.06/5.26 (v102(constB156)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20725, 20724, 20717])).
% 7.06/5.26 tff(20727,plain,
% 7.06/5.26 (v1(constB156) <=> v1(constB156)),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20728,axiom,(v1(constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_156')).
% 7.06/5.26 tff(20729,plain,
% 7.06/5.26 (v1(constB156)),
% 7.06/5.26 inference(modus_ponens,[status(thm)],[20728, 20727])).
% 7.06/5.26 tff(20730,plain,
% 7.06/5.26 ((~((~v1(constB156)) | (~v102(constB156)))) | (~v1(constB156)) | (~v102(constB156))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20731,plain,
% 7.06/5.26 ((~((~v1(constB156)) | (~v102(constB156)))) | (~v102(constB156))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20730, 20729])).
% 7.06/5.26 tff(20732,plain,
% 7.06/5.26 (~((~v1(constB156)) | (~v102(constB156)))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20731, 20726])).
% 7.06/5.26 tff(20733,plain,
% 7.06/5.26 ((~(v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156)))))) | v101(constB156) | ((~v1(constB156)) | (~v102(constB156)))),
% 7.06/5.26 inference(tautology,[status(thm)],[])).
% 7.06/5.26 tff(20734,plain,
% 7.06/5.26 (v101(constB156)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20733, 20732, 20713])).
% 7.06/5.26 tff(20735,plain,
% 7.06/5.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155)))),
% 7.06/5.26 inference(rewrite,[status(thm)],[])).
% 7.06/5.26 tff(20736,plain,
% 7.06/5.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155)))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20737,plain,
% 7.06/5.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155))),
% 7.06/5.26 inference(modus_ponens,[status(thm)],[20736, 20735])).
% 7.06/5.26 tff(20738,plain,
% 7.06/5.26 (v110(constB156) <=> v108(constB155)),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20737, 17725, 4650])).
% 7.06/5.26 tff(20739,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB155) <=> (v111(constB155) | v112(constB155)))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20740,plain,
% 7.06/5.26 (v108(constB155) <=> (v111(constB155) | v112(constB155))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20739, 4661])).
% 7.06/5.26 tff(20741,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155)))))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20742,plain,
% 7.06/5.26 (v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155))))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20741, 4673])).
% 7.06/5.26 tff(20743,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB155) <=> (v114(constB155) | v125(constB155)))),
% 7.06/5.26 inference(quant_inst,[status(thm)],[])).
% 7.06/5.26 tff(20744,plain,
% 7.06/5.26 (v113(constB155) <=> (v114(constB155) | v125(constB155))),
% 7.06/5.26 inference(unit_resolution,[status(thm)],[20743, 4682])).
% 7.06/5.26 tff(20745,plain,
% 7.06/5.26 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB155) <=> (~(v90(constB155, 0) | (~v90(constB155, 1)) | (~v90(constB155, 2)))))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20746,plain,
% 7.06/5.27 (v125(constB155) <=> (~(v90(constB155, 0) | (~v90(constB155, 1)) | (~v90(constB155, 2))))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20745, 5131])).
% 7.06/5.27 tff(20747,plain,
% 7.06/5.27 ((~(v90(constB155, 0) | (~v90(constB155, 1)) | (~v90(constB155, 2)))) | v90(constB155, 0) | (~v90(constB155, 1)) | (~v90(constB155, 2))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20748,plain,
% 7.06/5.27 (~(v90(constB155, 0) | (~v90(constB155, 1)) | (~v90(constB155, 2)))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20747, 20635, 20595, 20675])).
% 7.06/5.27 tff(20749,plain,
% 7.06/5.27 ((~(v125(constB155) <=> (~(v90(constB155, 0) | (~v90(constB155, 1)) | (~v90(constB155, 2)))))) | v125(constB155) | (v90(constB155, 0) | (~v90(constB155, 1)) | (~v90(constB155, 2)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20750,plain,
% 7.06/5.27 (v125(constB155)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20749, 20748, 20746])).
% 7.06/5.27 tff(20751,plain,
% 7.06/5.27 ((v114(constB155) | v125(constB155)) | (~v125(constB155))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20752,plain,
% 7.06/5.27 (v114(constB155) | v125(constB155)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20751, 20750])).
% 7.06/5.27 tff(20753,plain,
% 7.06/5.27 ((~(v113(constB155) <=> (v114(constB155) | v125(constB155)))) | v113(constB155) | (~(v114(constB155) | v125(constB155)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20754,plain,
% 7.06/5.27 (v113(constB155)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20753, 20752, 20744])).
% 7.06/5.27 tff(20755,plain,
% 7.06/5.27 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB155)) <=> v111(constB155))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20756,plain,
% 7.06/5.27 ((~v126(constB155)) <=> v111(constB155)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20755, 4761])).
% 7.06/5.27 tff(20757,plain,
% 7.06/5.27 ((~((~v126(constB155)) <=> v111(constB155))) | v126(constB155) | v111(constB155)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20758,plain,
% 7.06/5.27 ((~((~v126(constB155)) <=> v111(constB155))) | v126(constB155)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20757, 17738])).
% 7.06/5.27 tff(20759,plain,
% 7.06/5.27 (v126(constB155)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20758, 20756])).
% 7.06/5.27 tff(20760,plain,
% 7.06/5.27 ((~((~v113(constB155)) | (~v126(constB155)))) | (~v113(constB155)) | (~v126(constB155))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20761,plain,
% 7.06/5.27 ((~((~v113(constB155)) | (~v126(constB155)))) | (~v113(constB155))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20760, 20759])).
% 7.06/5.27 tff(20762,plain,
% 7.06/5.27 (~((~v113(constB155)) | (~v126(constB155)))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20761, 20754])).
% 7.06/5.27 tff(20763,plain,
% 7.06/5.27 ((~(v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155)))))) | v112(constB155) | ((~v113(constB155)) | (~v126(constB155)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20764,plain,
% 7.06/5.27 (v112(constB155)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20763, 20762, 20742])).
% 7.06/5.27 tff(20765,plain,
% 7.06/5.27 ((v111(constB155) | v112(constB155)) | (~v112(constB155))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20766,plain,
% 7.06/5.27 (v111(constB155) | v112(constB155)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20765, 20764])).
% 7.06/5.27 tff(20767,plain,
% 7.06/5.27 ((~(v108(constB155) <=> (v111(constB155) | v112(constB155)))) | v108(constB155) | (~(v111(constB155) | v112(constB155)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20768,plain,
% 7.06/5.27 (v108(constB155)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20767, 20766, 20740])).
% 7.06/5.27 tff(20769,plain,
% 7.06/5.27 ((~(v110(constB156) <=> v108(constB155))) | v110(constB156) | (~v108(constB155))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20770,plain,
% 7.06/5.27 (v110(constB156)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20769, 20768, 20738])).
% 7.06/5.27 tff(20771,plain,
% 7.06/5.27 ((~((~v101(constB156)) | (~v110(constB156)))) | (~v101(constB156)) | (~v110(constB156))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20772,plain,
% 7.06/5.27 (~((~v101(constB156)) | (~v110(constB156)))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20771, 20770, 20734])).
% 7.06/5.27 tff(20773,plain,
% 7.06/5.27 ((~(v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156)))))) | v100(constB156) | ((~v101(constB156)) | (~v110(constB156)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20774,plain,
% 7.06/5.27 (v100(constB156)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20773, 20772, 20706])).
% 7.06/5.27 tff(20775,plain,
% 7.06/5.27 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB156)) | (~(((~v90(constB156, 2)) <=> v129(constB156, 2)) | ((~v90(constB156, 1)) <=> v129(constB156, 1)) | ((~v90(constB156, 0)) <=> v129(constB156, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB156)) | (~(((~v90(constB156, 2)) <=> v129(constB156, 2)) | ((~v90(constB156, 1)) <=> v129(constB156, 1)) | ((~v90(constB156, 0)) <=> v129(constB156, 0)))))),
% 7.06/5.27 inference(rewrite,[status(thm)],[])).
% 7.06/5.27 tff(20776,plain,
% 7.06/5.27 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB156)) | (~(((~v90(constB156, 2)) <=> v129(constB156, 2)) | ((~v90(constB156, 1)) <=> v129(constB156, 1)) | ((~v90(constB156, 0)) <=> v129(constB156, 0)))))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20777,plain,
% 7.06/5.27 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB156)) | (~(((~v90(constB156, 2)) <=> v129(constB156, 2)) | ((~v90(constB156, 1)) <=> v129(constB156, 1)) | ((~v90(constB156, 0)) <=> v129(constB156, 0))))),
% 7.06/5.27 inference(modus_ponens,[status(thm)],[20776, 20775])).
% 7.06/5.27 tff(20778,plain,
% 7.06/5.27 ((~v100(constB156)) | (~(((~v90(constB156, 2)) <=> v129(constB156, 2)) | ((~v90(constB156, 1)) <=> v129(constB156, 1)) | ((~v90(constB156, 0)) <=> v129(constB156, 0))))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20777, 4794])).
% 7.06/5.27 tff(20779,plain,
% 7.06/5.27 (~(((~v90(constB156, 2)) <=> v129(constB156, 2)) | ((~v90(constB156, 1)) <=> v129(constB156, 1)) | ((~v90(constB156, 0)) <=> v129(constB156, 0)))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20778, 20774])).
% 7.06/5.27 tff(20780,plain,
% 7.06/5.27 ((((~v90(constB156, 2)) <=> v129(constB156, 2)) | ((~v90(constB156, 1)) <=> v129(constB156, 1)) | ((~v90(constB156, 0)) <=> v129(constB156, 0))) | (~((~v90(constB156, 2)) <=> v129(constB156, 2)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20781,plain,
% 7.06/5.27 (~((~v90(constB156, 2)) <=> v129(constB156, 2))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20780, 20779])).
% 7.06/5.27 tff(20782,plain,
% 7.06/5.27 (((~v90(constB156, 2)) <=> v129(constB156, 2)) | (~v90(constB156, 2)) | v129(constB156, 2)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20783,plain,
% 7.06/5.27 (~v90(constB156, 2)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20782, 20781, 20702])).
% 7.06/5.27 tff(20784,plain,
% 7.06/5.27 (((~v90(constB157, 2)) <=> v90(constB156, 2)) | (~v90(constB157, 2)) | v90(constB156, 2)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20785,plain,
% 7.06/5.27 (~v90(constB157, 2)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20784, 20783, 17722])).
% 7.06/5.27 tff(20786,plain,
% 7.06/5.27 ((((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 0)) <=> v90(constB156, 0))) | (~((~v90(constB157, 0)) <=> v90(constB156, 0)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20787,plain,
% 7.06/5.27 (~((~v90(constB157, 0)) <=> v90(constB156, 0))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20786, 17720])).
% 7.06/5.27 tff(20788,plain,
% 7.06/5.27 ((((~v129(constB156, 2)) <=> v127(constB155, 2)) | ((~v129(constB156, 1)) <=> v127(constB155, 1)) | ((~v129(constB156, 0)) <=> v127(constB155, 0))) | (~((~v129(constB156, 0)) <=> v127(constB155, 0)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20789,plain,
% 7.06/5.27 (~((~v129(constB156, 0)) <=> v127(constB155, 0))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20788, 17729])).
% 7.06/5.27 tff(20790,plain,
% 7.06/5.27 ((((~v127(constB155, 2)) <=> v130(constB155, 2)) | ((~v127(constB155, 1)) <=> v130(constB155, 1)) | ((~v127(constB155, 0)) <=> v130(constB155, 0))) | (~((~v127(constB155, 0)) <=> v130(constB155, 0)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20791,plain,
% 7.06/5.27 (~((~v127(constB155, 0)) <=> v130(constB155, 0))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20790, 17743])).
% 7.06/5.27 tff(20792,plain,
% 7.06/5.27 ((v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0))) | v130(constB155, 0)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20793,plain,
% 7.06/5.27 (v130(constB155, 0)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20792, 20696])).
% 7.06/5.27 tff(20794,plain,
% 7.06/5.27 (((~v127(constB155, 0)) <=> v130(constB155, 0)) | v127(constB155, 0) | (~v130(constB155, 0))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20795,plain,
% 7.06/5.27 (v127(constB155, 0)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20794, 20793, 20791])).
% 7.06/5.27 tff(20796,plain,
% 7.06/5.27 (((~v129(constB156, 0)) <=> v127(constB155, 0)) | v129(constB156, 0) | (~v127(constB155, 0))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20797,plain,
% 7.06/5.27 (v129(constB156, 0)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20796, 20795, 20789])).
% 7.06/5.27 tff(20798,plain,
% 7.06/5.27 ((((~v90(constB156, 2)) <=> v129(constB156, 2)) | ((~v90(constB156, 1)) <=> v129(constB156, 1)) | ((~v90(constB156, 0)) <=> v129(constB156, 0))) | (~((~v90(constB156, 0)) <=> v129(constB156, 0)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20799,plain,
% 7.06/5.27 (~((~v90(constB156, 0)) <=> v129(constB156, 0))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20798, 20779])).
% 7.06/5.27 tff(20800,plain,
% 7.06/5.27 (((~v90(constB156, 0)) <=> v129(constB156, 0)) | v90(constB156, 0) | (~v129(constB156, 0))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20801,plain,
% 7.06/5.27 (v90(constB156, 0)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20800, 20799, 20797])).
% 7.06/5.27 tff(20802,plain,
% 7.06/5.27 (((~v90(constB157, 0)) <=> v90(constB156, 0)) | v90(constB157, 0) | (~v90(constB156, 0))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20803,plain,
% 7.06/5.27 (v90(constB157, 0)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20802, 20801, 20787])).
% 7.06/5.27 tff(20804,plain,
% 7.06/5.27 ((((~v90(constB157, 1)) <=> v90(constB156, 1)) | ((~v90(constB157, 2)) <=> v90(constB156, 2)) | ((~v90(constB157, 0)) <=> v90(constB156, 0))) | (~((~v90(constB157, 1)) <=> v90(constB156, 1)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20805,plain,
% 7.06/5.27 (~((~v90(constB157, 1)) <=> v90(constB156, 1))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20804, 17720])).
% 7.06/5.27 tff(20806,plain,
% 7.06/5.27 ((((~v129(constB156, 2)) <=> v127(constB155, 2)) | ((~v129(constB156, 1)) <=> v127(constB155, 1)) | ((~v129(constB156, 0)) <=> v127(constB155, 0))) | (~((~v129(constB156, 1)) <=> v127(constB155, 1)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20807,plain,
% 7.06/5.27 (~((~v129(constB156, 1)) <=> v127(constB155, 1))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20806, 17729])).
% 7.06/5.27 tff(20808,plain,
% 7.06/5.27 ((((~v127(constB155, 2)) <=> v130(constB155, 2)) | ((~v127(constB155, 1)) <=> v130(constB155, 1)) | ((~v127(constB155, 0)) <=> v130(constB155, 0))) | (~((~v127(constB155, 1)) <=> v130(constB155, 1)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20809,plain,
% 7.06/5.27 (~((~v127(constB155, 1)) <=> v130(constB155, 1))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20808, 17743])).
% 7.06/5.27 tff(20810,plain,
% 7.06/5.27 ((v130(constB155, 2) | v130(constB155, 1) | (~v130(constB155, 0))) | (~v130(constB155, 1))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20811,plain,
% 7.06/5.27 (~v130(constB155, 1)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20810, 20696])).
% 7.06/5.27 tff(20812,plain,
% 7.06/5.27 (((~v127(constB155, 1)) <=> v130(constB155, 1)) | (~v127(constB155, 1)) | v130(constB155, 1)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20813,plain,
% 7.06/5.27 (~v127(constB155, 1)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20812, 20811, 20809])).
% 7.06/5.27 tff(20814,plain,
% 7.06/5.27 (((~v129(constB156, 1)) <=> v127(constB155, 1)) | (~v129(constB156, 1)) | v127(constB155, 1)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20815,plain,
% 7.06/5.27 (~v129(constB156, 1)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20814, 20813, 20807])).
% 7.06/5.27 tff(20816,plain,
% 7.06/5.27 ((((~v90(constB156, 2)) <=> v129(constB156, 2)) | ((~v90(constB156, 1)) <=> v129(constB156, 1)) | ((~v90(constB156, 0)) <=> v129(constB156, 0))) | (~((~v90(constB156, 1)) <=> v129(constB156, 1)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20817,plain,
% 7.06/5.27 (~((~v90(constB156, 1)) <=> v129(constB156, 1))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20816, 20779])).
% 7.06/5.27 tff(20818,plain,
% 7.06/5.27 (((~v90(constB156, 1)) <=> v129(constB156, 1)) | (~v90(constB156, 1)) | v129(constB156, 1)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20819,plain,
% 7.06/5.27 (~v90(constB156, 1)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20818, 20817, 20815])).
% 7.06/5.27 tff(20820,plain,
% 7.06/5.27 (((~v90(constB157, 1)) <=> v90(constB156, 1)) | (~v90(constB157, 1)) | v90(constB156, 1)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20821,plain,
% 7.06/5.27 (~v90(constB157, 1)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20820, 20819, 20805])).
% 7.06/5.27 tff(20822,plain,
% 7.06/5.27 ((~(v90(constB157, 1) | v90(constB157, 2) | (~v90(constB157, 0)))) | v90(constB157, 1) | v90(constB157, 2) | (~v90(constB157, 0))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20823,plain,
% 7.06/5.27 (~(v90(constB157, 1) | v90(constB157, 2) | (~v90(constB157, 0)))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20822, 20821, 20803, 20785])).
% 7.06/5.27 tff(20824,plain,
% 7.06/5.27 ((~(v120(constB157) <=> (~(v90(constB157, 1) | v90(constB157, 2) | (~v90(constB157, 0)))))) | v120(constB157) | (v90(constB157, 1) | v90(constB157, 2) | (~v90(constB157, 0)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20825,plain,
% 7.06/5.27 (v120(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20824, 20823, 17686])).
% 7.06/5.27 tff(20826,plain,
% 7.06/5.27 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB157)) | (~(v130(constB157, 2) | v130(constB157, 0) | (~v130(constB157, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB157)) | (~(v130(constB157, 2) | v130(constB157, 0) | (~v130(constB157, 1)))))),
% 7.06/5.27 inference(rewrite,[status(thm)],[])).
% 7.06/5.27 tff(20827,plain,
% 7.06/5.27 (((~v120(constB157)) | (~(v130(constB157, 0) | v130(constB157, 2) | (~v130(constB157, 1))))) <=> ((~v120(constB157)) | (~(v130(constB157, 2) | v130(constB157, 0) | (~v130(constB157, 1)))))),
% 7.06/5.27 inference(rewrite,[status(thm)],[])).
% 7.06/5.27 tff(20828,plain,
% 7.06/5.27 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB157)) | (~(v130(constB157, 0) | v130(constB157, 2) | (~v130(constB157, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB157)) | (~(v130(constB157, 2) | v130(constB157, 0) | (~v130(constB157, 1))))))),
% 7.06/5.27 inference(monotonicity,[status(thm)],[20827])).
% 7.06/5.27 tff(20829,plain,
% 7.06/5.27 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB157)) | (~(v130(constB157, 0) | v130(constB157, 2) | (~v130(constB157, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB157)) | (~(v130(constB157, 2) | v130(constB157, 0) | (~v130(constB157, 1)))))),
% 7.06/5.27 inference(transitivity,[status(thm)],[20828, 20826])).
% 7.06/5.27 tff(20830,plain,
% 7.06/5.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB157)) | (~(v130(constB157, 0) | v130(constB157, 2) | (~v130(constB157, 1)))))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20831,plain,
% 7.06/5.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB157)) | (~(v130(constB157, 2) | v130(constB157, 0) | (~v130(constB157, 1))))),
% 7.06/5.27 inference(modus_ponens,[status(thm)],[20830, 20829])).
% 7.06/5.27 tff(20832,plain,
% 7.06/5.27 ((~v120(constB157)) | (~(v130(constB157, 2) | v130(constB157, 0) | (~v130(constB157, 1))))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20831, 5246])).
% 7.06/5.27 tff(20833,plain,
% 7.06/5.27 (~(v130(constB157, 2) | v130(constB157, 0) | (~v130(constB157, 1)))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20832, 20825])).
% 7.06/5.27 tff(20834,plain,
% 7.06/5.27 ((v130(constB157, 2) | v130(constB157, 0) | (~v130(constB157, 1))) | (~v130(constB157, 2))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20835,plain,
% 7.06/5.27 (~v130(constB157, 2)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20834, 20833])).
% 7.06/5.27 tff(20836,plain,
% 7.06/5.27 (((~v127(constB157, 2)) <=> v130(constB157, 2)) | (~v127(constB157, 2)) | v130(constB157, 2)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20837,plain,
% 7.06/5.27 (~v127(constB157, 2)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20836, 20835, 17684])).
% 7.06/5.27 tff(20838,plain,
% 7.06/5.27 (((~v129(constB158, 2)) <=> v127(constB157, 2)) | (~v129(constB158, 2)) | v127(constB157, 2)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20839,plain,
% 7.06/5.27 (~v129(constB158, 2)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20838, 20837, 17670])).
% 7.06/5.27 tff(20840,plain,
% 7.06/5.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))))),
% 7.06/5.27 inference(rewrite,[status(thm)],[])).
% 7.06/5.27 tff(20841,plain,
% 7.06/5.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20842,plain,
% 7.06/5.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158)))))),
% 7.06/5.27 inference(modus_ponens,[status(thm)],[20841, 20840])).
% 7.06/5.27 tff(20843,plain,
% 7.06/5.27 (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20842, 17664, 273])).
% 7.06/5.27 tff(20844,plain,
% 7.06/5.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))),
% 7.06/5.27 inference(rewrite,[status(thm)],[])).
% 7.06/5.27 tff(20845,plain,
% 7.06/5.27 (((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158)))))) <=> ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))),
% 7.06/5.27 inference(rewrite,[status(thm)],[])).
% 7.06/5.27 tff(20846,plain,
% 7.06/5.27 (((~![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) <=> (~((~v1(constB158)) | (~v102(constB158)))))))),
% 7.06/5.27 inference(monotonicity,[status(thm)],[20845])).
% 7.06/5.27 tff(20847,plain,
% 7.06/5.27 (((~![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) <=> (~((~v1(constB158)) | (~v102(constB158))))))),
% 7.06/5.27 inference(transitivity,[status(thm)],[20846, 20844])).
% 7.06/5.27 tff(20848,plain,
% 7.06/5.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158))))))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20849,plain,
% 7.06/5.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158)))))),
% 7.06/5.27 inference(modus_ponens,[status(thm)],[20848, 20847])).
% 7.06/5.27 tff(20850,plain,
% 7.06/5.27 (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20849, 17664, 293])).
% 7.06/5.27 tff(20851,plain,
% 7.06/5.27 (((~![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)))),
% 7.06/5.27 inference(rewrite,[status(thm)],[])).
% 7.06/5.27 tff(20852,plain,
% 7.06/5.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158)))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20853,plain,
% 7.06/5.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158))),
% 7.06/5.27 inference(modus_ponens,[status(thm)],[20852, 20851])).
% 7.06/5.27 tff(20854,plain,
% 7.06/5.27 ((~v102(constB158)) <=> v104(constB158)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20853, 17664, 4609])).
% 7.06/5.27 tff(20855,plain,
% 7.06/5.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157)))),
% 7.06/5.27 inference(rewrite,[status(thm)],[])).
% 7.06/5.27 tff(20856,plain,
% 7.06/5.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157)))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20857,plain,
% 7.06/5.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157))),
% 7.06/5.27 inference(modus_ponens,[status(thm)],[20856, 20855])).
% 7.06/5.27 tff(20858,plain,
% 7.06/5.27 (v104(constB158) <=> v1(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20857, 17664, 4623])).
% 7.06/5.27 tff(20859,plain,
% 7.06/5.27 ((~(v104(constB158) <=> v1(constB157))) | (~v104(constB158)) | v1(constB157)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20860,plain,
% 7.06/5.27 ((~(v104(constB158) <=> v1(constB157))) | (~v104(constB158))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20859, 17703])).
% 7.06/5.27 tff(20861,plain,
% 7.06/5.27 (~v104(constB158)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20860, 20858])).
% 7.06/5.27 tff(20862,plain,
% 7.06/5.27 ((~((~v102(constB158)) <=> v104(constB158))) | v102(constB158) | v104(constB158)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20863,plain,
% 7.06/5.27 (v102(constB158)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20862, 20861, 20854])).
% 7.06/5.27 tff(20864,plain,
% 7.06/5.27 (v1(constB158) <=> v1(constB158)),
% 7.06/5.27 inference(rewrite,[status(thm)],[])).
% 7.06/5.27 tff(20865,axiom,(v1(constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_158')).
% 7.06/5.27 tff(20866,plain,
% 7.06/5.27 (v1(constB158)),
% 7.06/5.27 inference(modus_ponens,[status(thm)],[20865, 20864])).
% 7.06/5.27 tff(20867,plain,
% 7.06/5.27 ((~((~v1(constB158)) | (~v102(constB158)))) | (~v1(constB158)) | (~v102(constB158))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20868,plain,
% 7.06/5.27 ((~((~v1(constB158)) | (~v102(constB158)))) | (~v102(constB158))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20867, 20866])).
% 7.06/5.27 tff(20869,plain,
% 7.06/5.27 (~((~v1(constB158)) | (~v102(constB158)))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20868, 20863])).
% 7.06/5.27 tff(20870,plain,
% 7.06/5.27 ((~(v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158)))))) | v101(constB158) | ((~v1(constB158)) | (~v102(constB158)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20871,plain,
% 7.06/5.27 (v101(constB158)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20870, 20869, 20850])).
% 7.06/5.27 tff(20872,plain,
% 7.06/5.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157)))),
% 7.06/5.27 inference(rewrite,[status(thm)],[])).
% 7.06/5.27 tff(20873,plain,
% 7.06/5.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157)))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20874,plain,
% 7.06/5.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157))),
% 7.06/5.27 inference(modus_ponens,[status(thm)],[20873, 20872])).
% 7.06/5.27 tff(20875,plain,
% 7.06/5.27 (v110(constB158) <=> v108(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20874, 17664, 4650])).
% 7.06/5.27 tff(20876,plain,
% 7.06/5.27 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB157) <=> (v111(constB157) | v112(constB157)))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20877,plain,
% 7.06/5.27 (v108(constB157) <=> (v111(constB157) | v112(constB157))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20876, 4661])).
% 7.06/5.27 tff(20878,plain,
% 7.06/5.27 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157)))))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20879,plain,
% 7.06/5.27 (v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157))))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20878, 4673])).
% 7.06/5.27 tff(20880,plain,
% 7.06/5.27 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB157) <=> (v114(constB157) | v125(constB157)))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20881,plain,
% 7.06/5.27 (v113(constB157) <=> (v114(constB157) | v125(constB157))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20880, 4682])).
% 7.06/5.27 tff(20882,plain,
% 7.06/5.27 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB157) <=> (v115(constB157) | v124(constB157)))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20883,plain,
% 7.06/5.27 (v114(constB157) <=> (v115(constB157) | v124(constB157))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20882, 4691])).
% 7.06/5.27 tff(20884,plain,
% 7.06/5.27 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB157) <=> (v116(constB157) | v123(constB157)))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20885,plain,
% 7.06/5.27 (v115(constB157) <=> (v116(constB157) | v123(constB157))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20884, 4700])).
% 7.06/5.27 tff(20886,plain,
% 7.06/5.27 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB157) <=> (v117(constB157) | v122(constB157)))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20887,plain,
% 7.06/5.27 (v116(constB157) <=> (v117(constB157) | v122(constB157))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20886, 4709])).
% 7.06/5.27 tff(20888,plain,
% 7.06/5.27 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB157) <=> (v118(constB157) | v121(constB157)))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20889,plain,
% 7.06/5.27 (v117(constB157) <=> (v118(constB157) | v121(constB157))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20888, 4718])).
% 7.06/5.27 tff(20890,plain,
% 7.06/5.27 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB157) <=> (v119(constB157) | v120(constB157)))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20891,plain,
% 7.06/5.27 (v118(constB157) <=> (v119(constB157) | v120(constB157))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20890, 4727])).
% 7.06/5.27 tff(20892,plain,
% 7.06/5.27 ((v119(constB157) | v120(constB157)) | (~v120(constB157))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20893,plain,
% 7.06/5.27 (v119(constB157) | v120(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20892, 20825])).
% 7.06/5.27 tff(20894,plain,
% 7.06/5.27 ((~(v118(constB157) <=> (v119(constB157) | v120(constB157)))) | v118(constB157) | (~(v119(constB157) | v120(constB157)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20895,plain,
% 7.06/5.27 (v118(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20894, 20893, 20891])).
% 7.06/5.27 tff(20896,plain,
% 7.06/5.27 ((v118(constB157) | v121(constB157)) | (~v118(constB157))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20897,plain,
% 7.06/5.27 (v118(constB157) | v121(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20896, 20895])).
% 7.06/5.27 tff(20898,plain,
% 7.06/5.27 ((~(v117(constB157) <=> (v118(constB157) | v121(constB157)))) | v117(constB157) | (~(v118(constB157) | v121(constB157)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20899,plain,
% 7.06/5.27 (v117(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20898, 20897, 20889])).
% 7.06/5.27 tff(20900,plain,
% 7.06/5.27 ((v117(constB157) | v122(constB157)) | (~v117(constB157))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20901,plain,
% 7.06/5.27 (v117(constB157) | v122(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20900, 20899])).
% 7.06/5.27 tff(20902,plain,
% 7.06/5.27 ((~(v116(constB157) <=> (v117(constB157) | v122(constB157)))) | v116(constB157) | (~(v117(constB157) | v122(constB157)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20903,plain,
% 7.06/5.27 (v116(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20902, 20901, 20887])).
% 7.06/5.27 tff(20904,plain,
% 7.06/5.27 ((v116(constB157) | v123(constB157)) | (~v116(constB157))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20905,plain,
% 7.06/5.27 (v116(constB157) | v123(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20904, 20903])).
% 7.06/5.27 tff(20906,plain,
% 7.06/5.27 ((~(v115(constB157) <=> (v116(constB157) | v123(constB157)))) | v115(constB157) | (~(v116(constB157) | v123(constB157)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20907,plain,
% 7.06/5.27 (v115(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20906, 20905, 20885])).
% 7.06/5.27 tff(20908,plain,
% 7.06/5.27 ((v115(constB157) | v124(constB157)) | (~v115(constB157))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20909,plain,
% 7.06/5.27 (v115(constB157) | v124(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20908, 20907])).
% 7.06/5.27 tff(20910,plain,
% 7.06/5.27 ((~(v114(constB157) <=> (v115(constB157) | v124(constB157)))) | v114(constB157) | (~(v115(constB157) | v124(constB157)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20911,plain,
% 7.06/5.27 (v114(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20910, 20909, 20883])).
% 7.06/5.27 tff(20912,plain,
% 7.06/5.27 ((v114(constB157) | v125(constB157)) | (~v114(constB157))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20913,plain,
% 7.06/5.27 (v114(constB157) | v125(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20912, 20911])).
% 7.06/5.27 tff(20914,plain,
% 7.06/5.27 ((~(v113(constB157) <=> (v114(constB157) | v125(constB157)))) | v113(constB157) | (~(v114(constB157) | v125(constB157)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20915,plain,
% 7.06/5.27 (v113(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20914, 20913, 20881])).
% 7.06/5.27 tff(20916,plain,
% 7.06/5.27 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB157)) <=> v111(constB157))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20917,plain,
% 7.06/5.27 ((~v126(constB157)) <=> v111(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20916, 4761])).
% 7.06/5.27 tff(20918,plain,
% 7.06/5.27 ((~((~v126(constB157)) <=> v111(constB157))) | v126(constB157) | v111(constB157)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20919,plain,
% 7.06/5.27 ((~((~v126(constB157)) <=> v111(constB157))) | v126(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20918, 17677])).
% 7.06/5.27 tff(20920,plain,
% 7.06/5.27 (v126(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20919, 20917])).
% 7.06/5.27 tff(20921,plain,
% 7.06/5.27 ((~((~v113(constB157)) | (~v126(constB157)))) | (~v113(constB157)) | (~v126(constB157))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20922,plain,
% 7.06/5.27 ((~((~v113(constB157)) | (~v126(constB157)))) | (~v113(constB157))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20921, 20920])).
% 7.06/5.27 tff(20923,plain,
% 7.06/5.27 (~((~v113(constB157)) | (~v126(constB157)))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20922, 20915])).
% 7.06/5.27 tff(20924,plain,
% 7.06/5.27 ((~(v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157)))))) | v112(constB157) | ((~v113(constB157)) | (~v126(constB157)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20925,plain,
% 7.06/5.27 (v112(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20924, 20923, 20879])).
% 7.06/5.27 tff(20926,plain,
% 7.06/5.27 ((v111(constB157) | v112(constB157)) | (~v112(constB157))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20927,plain,
% 7.06/5.27 (v111(constB157) | v112(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20926, 20925])).
% 7.06/5.27 tff(20928,plain,
% 7.06/5.27 ((~(v108(constB157) <=> (v111(constB157) | v112(constB157)))) | v108(constB157) | (~(v111(constB157) | v112(constB157)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20929,plain,
% 7.06/5.27 (v108(constB157)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20928, 20927, 20877])).
% 7.06/5.27 tff(20930,plain,
% 7.06/5.27 ((~(v110(constB158) <=> v108(constB157))) | v110(constB158) | (~v108(constB157))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20931,plain,
% 7.06/5.27 (v110(constB158)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20930, 20929, 20875])).
% 7.06/5.27 tff(20932,plain,
% 7.06/5.27 ((~((~v101(constB158)) | (~v110(constB158)))) | (~v101(constB158)) | (~v110(constB158))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20933,plain,
% 7.06/5.27 (~((~v101(constB158)) | (~v110(constB158)))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20932, 20931, 20871])).
% 7.06/5.27 tff(20934,plain,
% 7.06/5.27 ((~(v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158)))))) | v100(constB158) | ((~v101(constB158)) | (~v110(constB158)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20935,plain,
% 7.06/5.27 (v100(constB158)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20934, 20933, 20843])).
% 7.06/5.27 tff(20936,plain,
% 7.06/5.27 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB158)) | (~(((~v90(constB158, 0)) <=> v129(constB158, 0)) | ((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB158)) | (~(((~v90(constB158, 0)) <=> v129(constB158, 0)) | ((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1)))))),
% 7.06/5.27 inference(rewrite,[status(thm)],[])).
% 7.06/5.27 tff(20937,plain,
% 7.06/5.27 (((~v100(constB158)) | (~(((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1)) | ((~v90(constB158, 0)) <=> v129(constB158, 0))))) <=> ((~v100(constB158)) | (~(((~v90(constB158, 0)) <=> v129(constB158, 0)) | ((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1)))))),
% 7.06/5.27 inference(rewrite,[status(thm)],[])).
% 7.06/5.27 tff(20938,plain,
% 7.06/5.27 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB158)) | (~(((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1)) | ((~v90(constB158, 0)) <=> v129(constB158, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB158)) | (~(((~v90(constB158, 0)) <=> v129(constB158, 0)) | ((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1))))))),
% 7.06/5.27 inference(monotonicity,[status(thm)],[20937])).
% 7.06/5.27 tff(20939,plain,
% 7.06/5.27 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB158)) | (~(((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1)) | ((~v90(constB158, 0)) <=> v129(constB158, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB158)) | (~(((~v90(constB158, 0)) <=> v129(constB158, 0)) | ((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1)))))),
% 7.06/5.27 inference(transitivity,[status(thm)],[20938, 20936])).
% 7.06/5.27 tff(20940,plain,
% 7.06/5.27 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB158)) | (~(((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1)) | ((~v90(constB158, 0)) <=> v129(constB158, 0)))))),
% 7.06/5.27 inference(quant_inst,[status(thm)],[])).
% 7.06/5.27 tff(20941,plain,
% 7.06/5.27 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB158)) | (~(((~v90(constB158, 0)) <=> v129(constB158, 0)) | ((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1))))),
% 7.06/5.27 inference(modus_ponens,[status(thm)],[20940, 20939])).
% 7.06/5.27 tff(20942,plain,
% 7.06/5.27 ((~v100(constB158)) | (~(((~v90(constB158, 0)) <=> v129(constB158, 0)) | ((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1))))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20941, 4794])).
% 7.06/5.27 tff(20943,plain,
% 7.06/5.27 (~(((~v90(constB158, 0)) <=> v129(constB158, 0)) | ((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1)))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20942, 20935])).
% 7.06/5.27 tff(20944,plain,
% 7.06/5.27 ((((~v90(constB158, 0)) <=> v129(constB158, 0)) | ((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1))) | (~((~v90(constB158, 2)) <=> v129(constB158, 2)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20945,plain,
% 7.06/5.27 (~((~v90(constB158, 2)) <=> v129(constB158, 2))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20944, 20943])).
% 7.06/5.27 tff(20946,plain,
% 7.06/5.27 (((~v90(constB158, 2)) <=> v129(constB158, 2)) | (~v90(constB158, 2)) | v129(constB158, 2)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20947,plain,
% 7.06/5.27 (~v90(constB158, 2)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20946, 20945, 20839])).
% 7.06/5.27 tff(20948,plain,
% 7.06/5.27 (((~v90(constB159, 2)) <=> v90(constB158, 2)) | (~v90(constB159, 2)) | v90(constB158, 2)),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20949,plain,
% 7.06/5.27 (~v90(constB159, 2)),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20948, 20947, 17661])).
% 7.06/5.27 tff(20950,plain,
% 7.06/5.27 ((((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 0)) <=> v90(constB158, 0))) | (~((~v90(constB159, 0)) <=> v90(constB158, 0)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20951,plain,
% 7.06/5.27 (~((~v90(constB159, 0)) <=> v90(constB158, 0))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20950, 17659])).
% 7.06/5.27 tff(20952,plain,
% 7.06/5.27 ((((~v129(constB158, 2)) <=> v127(constB157, 2)) | ((~v129(constB158, 1)) <=> v127(constB157, 1)) | ((~v129(constB158, 0)) <=> v127(constB157, 0))) | (~((~v129(constB158, 0)) <=> v127(constB157, 0)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20953,plain,
% 7.06/5.27 (~((~v129(constB158, 0)) <=> v127(constB157, 0))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20952, 17668])).
% 7.06/5.27 tff(20954,plain,
% 7.06/5.27 ((((~v127(constB157, 2)) <=> v130(constB157, 2)) | ((~v127(constB157, 1)) <=> v130(constB157, 1)) | ((~v127(constB157, 0)) <=> v130(constB157, 0))) | (~((~v127(constB157, 0)) <=> v130(constB157, 0)))),
% 7.06/5.27 inference(tautology,[status(thm)],[])).
% 7.06/5.27 tff(20955,plain,
% 7.06/5.27 (~((~v127(constB157, 0)) <=> v130(constB157, 0))),
% 7.06/5.27 inference(unit_resolution,[status(thm)],[20954, 17682])).
% 7.06/5.28 tff(20956,plain,
% 7.06/5.28 ((v130(constB157, 2) | v130(constB157, 0) | (~v130(constB157, 1))) | (~v130(constB157, 0))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20957,plain,
% 7.06/5.28 (~v130(constB157, 0)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20956, 20833])).
% 7.06/5.28 tff(20958,plain,
% 7.06/5.28 (((~v127(constB157, 0)) <=> v130(constB157, 0)) | (~v127(constB157, 0)) | v130(constB157, 0)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20959,plain,
% 7.06/5.28 (~v127(constB157, 0)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20958, 20957, 20955])).
% 7.06/5.28 tff(20960,plain,
% 7.06/5.28 (((~v129(constB158, 0)) <=> v127(constB157, 0)) | (~v129(constB158, 0)) | v127(constB157, 0)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20961,plain,
% 7.06/5.28 (~v129(constB158, 0)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20960, 20959, 20953])).
% 7.06/5.28 tff(20962,plain,
% 7.06/5.28 ((((~v90(constB158, 0)) <=> v129(constB158, 0)) | ((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1))) | (~((~v90(constB158, 0)) <=> v129(constB158, 0)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20963,plain,
% 7.06/5.28 (~((~v90(constB158, 0)) <=> v129(constB158, 0))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20962, 20943])).
% 7.06/5.28 tff(20964,plain,
% 7.06/5.28 (((~v90(constB158, 0)) <=> v129(constB158, 0)) | (~v90(constB158, 0)) | v129(constB158, 0)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20965,plain,
% 7.06/5.28 (~v90(constB158, 0)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20964, 20963, 20961])).
% 7.06/5.28 tff(20966,plain,
% 7.06/5.28 (((~v90(constB159, 0)) <=> v90(constB158, 0)) | (~v90(constB159, 0)) | v90(constB158, 0)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20967,plain,
% 7.06/5.28 (~v90(constB159, 0)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20966, 20965, 20951])).
% 7.06/5.28 tff(20968,plain,
% 7.06/5.28 ((((~v90(constB159, 1)) <=> v90(constB158, 1)) | ((~v90(constB159, 2)) <=> v90(constB158, 2)) | ((~v90(constB159, 0)) <=> v90(constB158, 0))) | (~((~v90(constB159, 1)) <=> v90(constB158, 1)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20969,plain,
% 7.06/5.28 (~((~v90(constB159, 1)) <=> v90(constB158, 1))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20968, 17659])).
% 7.06/5.28 tff(20970,plain,
% 7.06/5.28 ((((~v129(constB158, 2)) <=> v127(constB157, 2)) | ((~v129(constB158, 1)) <=> v127(constB157, 1)) | ((~v129(constB158, 0)) <=> v127(constB157, 0))) | (~((~v129(constB158, 1)) <=> v127(constB157, 1)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20971,plain,
% 7.06/5.28 (~((~v129(constB158, 1)) <=> v127(constB157, 1))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20970, 17668])).
% 7.06/5.28 tff(20972,plain,
% 7.06/5.28 ((((~v127(constB157, 2)) <=> v130(constB157, 2)) | ((~v127(constB157, 1)) <=> v130(constB157, 1)) | ((~v127(constB157, 0)) <=> v130(constB157, 0))) | (~((~v127(constB157, 1)) <=> v130(constB157, 1)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20973,plain,
% 7.06/5.28 (~((~v127(constB157, 1)) <=> v130(constB157, 1))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20972, 17682])).
% 7.06/5.28 tff(20974,plain,
% 7.06/5.28 ((v130(constB157, 2) | v130(constB157, 0) | (~v130(constB157, 1))) | v130(constB157, 1)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20975,plain,
% 7.06/5.28 (v130(constB157, 1)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20974, 20833])).
% 7.06/5.28 tff(20976,plain,
% 7.06/5.28 (((~v127(constB157, 1)) <=> v130(constB157, 1)) | v127(constB157, 1) | (~v130(constB157, 1))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20977,plain,
% 7.06/5.28 (v127(constB157, 1)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20976, 20975, 20973])).
% 7.06/5.28 tff(20978,plain,
% 7.06/5.28 (((~v129(constB158, 1)) <=> v127(constB157, 1)) | v129(constB158, 1) | (~v127(constB157, 1))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20979,plain,
% 7.06/5.28 (v129(constB158, 1)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20978, 20977, 20971])).
% 7.06/5.28 tff(20980,plain,
% 7.06/5.28 ((((~v90(constB158, 0)) <=> v129(constB158, 0)) | ((~v90(constB158, 2)) <=> v129(constB158, 2)) | ((~v90(constB158, 1)) <=> v129(constB158, 1))) | (~((~v90(constB158, 1)) <=> v129(constB158, 1)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20981,plain,
% 7.06/5.28 (~((~v90(constB158, 1)) <=> v129(constB158, 1))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20980, 20943])).
% 7.06/5.28 tff(20982,plain,
% 7.06/5.28 (((~v90(constB158, 1)) <=> v129(constB158, 1)) | v90(constB158, 1) | (~v129(constB158, 1))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20983,plain,
% 7.06/5.28 (v90(constB158, 1)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20982, 20981, 20979])).
% 7.06/5.28 tff(20984,plain,
% 7.06/5.28 (((~v90(constB159, 1)) <=> v90(constB158, 1)) | v90(constB159, 1) | (~v90(constB158, 1))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20985,plain,
% 7.06/5.28 (v90(constB159, 1)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20984, 20983, 20969])).
% 7.06/5.28 tff(20986,plain,
% 7.06/5.28 ((~(v90(constB159, 2) | v90(constB159, 0) | (~v90(constB159, 1)))) | v90(constB159, 2) | v90(constB159, 0) | (~v90(constB159, 1))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20987,plain,
% 7.06/5.28 (~(v90(constB159, 2) | v90(constB159, 0) | (~v90(constB159, 1)))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20986, 20985, 20967, 20949])).
% 7.06/5.28 tff(20988,plain,
% 7.06/5.28 ((~(v121(constB159) <=> (~(v90(constB159, 2) | v90(constB159, 0) | (~v90(constB159, 1)))))) | v121(constB159) | (v90(constB159, 2) | v90(constB159, 0) | (~v90(constB159, 1)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20989,plain,
% 7.06/5.28 (v121(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20988, 20987, 17625])).
% 7.06/5.28 tff(20990,plain,
% 7.06/5.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB159)) | (~(v130(constB159, 2) | (~v130(constB159, 1)) | (~v130(constB159, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB159)) | (~(v130(constB159, 2) | (~v130(constB159, 1)) | (~v130(constB159, 0)))))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(20991,plain,
% 7.06/5.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB159)) | (~(v130(constB159, 2) | (~v130(constB159, 1)) | (~v130(constB159, 0)))))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(20992,plain,
% 7.06/5.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB159)) | (~(v130(constB159, 2) | (~v130(constB159, 1)) | (~v130(constB159, 0))))),
% 7.06/5.28 inference(modus_ponens,[status(thm)],[20991, 20990])).
% 7.06/5.28 tff(20993,plain,
% 7.06/5.28 ((~v121(constB159)) | (~(v130(constB159, 2) | (~v130(constB159, 1)) | (~v130(constB159, 0))))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20992, 5420])).
% 7.06/5.28 tff(20994,plain,
% 7.06/5.28 (~(v130(constB159, 2) | (~v130(constB159, 1)) | (~v130(constB159, 0)))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20993, 20989])).
% 7.06/5.28 tff(20995,plain,
% 7.06/5.28 ((v130(constB159, 2) | (~v130(constB159, 1)) | (~v130(constB159, 0))) | (~v130(constB159, 2))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20996,plain,
% 7.06/5.28 (~v130(constB159, 2)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20995, 20994])).
% 7.06/5.28 tff(20997,plain,
% 7.06/5.28 (((~v127(constB159, 2)) <=> v130(constB159, 2)) | (~v127(constB159, 2)) | v130(constB159, 2)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(20998,plain,
% 7.06/5.28 (~v127(constB159, 2)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20997, 20996, 17618])).
% 7.06/5.28 tff(20999,plain,
% 7.06/5.28 (((~v129(constB160, 2)) <=> v127(constB159, 2)) | (~v129(constB160, 2)) | v127(constB159, 2)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21000,plain,
% 7.06/5.28 (~v129(constB160, 2)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[20999, 20998, 17604])).
% 7.06/5.28 tff(21001,plain,
% 7.06/5.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21002,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21003,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160)))))),
% 7.06/5.28 inference(modus_ponens,[status(thm)],[21002, 21001])).
% 7.06/5.28 tff(21004,plain,
% 7.06/5.28 (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21003, 17598, 273])).
% 7.06/5.28 tff(21005,plain,
% 7.06/5.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21006,plain,
% 7.06/5.28 (((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160)))))) <=> ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21007,plain,
% 7.06/5.28 (((~![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) <=> (~((~v1(constB160)) | (~v102(constB160)))))))),
% 7.06/5.28 inference(monotonicity,[status(thm)],[21006])).
% 7.06/5.28 tff(21008,plain,
% 7.06/5.28 (((~![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) <=> (~((~v1(constB160)) | (~v102(constB160))))))),
% 7.06/5.28 inference(transitivity,[status(thm)],[21007, 21005])).
% 7.06/5.28 tff(21009,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160))))))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21010,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160)))))),
% 7.06/5.28 inference(modus_ponens,[status(thm)],[21009, 21008])).
% 7.06/5.28 tff(21011,plain,
% 7.06/5.28 (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21010, 17598, 293])).
% 7.06/5.28 tff(21012,plain,
% 7.06/5.28 (((~![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)))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21013,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160)))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21014,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160))),
% 7.06/5.28 inference(modus_ponens,[status(thm)],[21013, 21012])).
% 7.06/5.28 tff(21015,plain,
% 7.06/5.28 ((~v102(constB160)) <=> v104(constB160)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21014, 17598, 4609])).
% 7.06/5.28 tff(21016,plain,
% 7.06/5.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159)))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21017,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159)))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21018,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159))),
% 7.06/5.28 inference(modus_ponens,[status(thm)],[21017, 21016])).
% 7.06/5.28 tff(21019,plain,
% 7.06/5.28 (v104(constB160) <=> v1(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21018, 17598, 4623])).
% 7.06/5.28 tff(21020,plain,
% 7.06/5.28 ((~(v104(constB160) <=> v1(constB159))) | (~v104(constB160)) | v1(constB159)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21021,plain,
% 7.06/5.28 ((~(v104(constB160) <=> v1(constB159))) | (~v104(constB160))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21020, 17642])).
% 7.06/5.28 tff(21022,plain,
% 7.06/5.28 (~v104(constB160)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21021, 21019])).
% 7.06/5.28 tff(21023,plain,
% 7.06/5.28 ((~((~v102(constB160)) <=> v104(constB160))) | v102(constB160) | v104(constB160)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21024,plain,
% 7.06/5.28 (v102(constB160)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21023, 21022, 21015])).
% 7.06/5.28 tff(21025,plain,
% 7.06/5.28 (v1(constB160) <=> v1(constB160)),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21026,axiom,(v1(constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_160')).
% 7.06/5.28 tff(21027,plain,
% 7.06/5.28 (v1(constB160)),
% 7.06/5.28 inference(modus_ponens,[status(thm)],[21026, 21025])).
% 7.06/5.28 tff(21028,plain,
% 7.06/5.28 ((~((~v1(constB160)) | (~v102(constB160)))) | (~v1(constB160)) | (~v102(constB160))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21029,plain,
% 7.06/5.28 ((~((~v1(constB160)) | (~v102(constB160)))) | (~v102(constB160))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21028, 21027])).
% 7.06/5.28 tff(21030,plain,
% 7.06/5.28 (~((~v1(constB160)) | (~v102(constB160)))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21029, 21024])).
% 7.06/5.28 tff(21031,plain,
% 7.06/5.28 ((~(v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160)))))) | v101(constB160) | ((~v1(constB160)) | (~v102(constB160)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21032,plain,
% 7.06/5.28 (v101(constB160)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21031, 21030, 21011])).
% 7.06/5.28 tff(21033,plain,
% 7.06/5.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159)))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21034,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159)))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21035,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159))),
% 7.06/5.28 inference(modus_ponens,[status(thm)],[21034, 21033])).
% 7.06/5.28 tff(21036,plain,
% 7.06/5.28 (v110(constB160) <=> v108(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21035, 17598, 4650])).
% 7.06/5.28 tff(21037,plain,
% 7.06/5.28 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB159) <=> (v111(constB159) | v112(constB159)))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21038,plain,
% 7.06/5.28 (v108(constB159) <=> (v111(constB159) | v112(constB159))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21037, 4661])).
% 7.06/5.28 tff(21039,plain,
% 7.06/5.28 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159)))))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21040,plain,
% 7.06/5.28 (v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159))))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21039, 4673])).
% 7.06/5.28 tff(21041,plain,
% 7.06/5.28 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB159) <=> (v114(constB159) | v125(constB159)))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21042,plain,
% 7.06/5.28 (v113(constB159) <=> (v114(constB159) | v125(constB159))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21041, 4682])).
% 7.06/5.28 tff(21043,plain,
% 7.06/5.28 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB159) <=> (v115(constB159) | v124(constB159)))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21044,plain,
% 7.06/5.28 (v114(constB159) <=> (v115(constB159) | v124(constB159))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21043, 4691])).
% 7.06/5.28 tff(21045,plain,
% 7.06/5.28 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB159) <=> (v116(constB159) | v123(constB159)))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21046,plain,
% 7.06/5.28 (v115(constB159) <=> (v116(constB159) | v123(constB159))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21045, 4700])).
% 7.06/5.28 tff(21047,plain,
% 7.06/5.28 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB159) <=> (v117(constB159) | v122(constB159)))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21048,plain,
% 7.06/5.28 (v116(constB159) <=> (v117(constB159) | v122(constB159))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21047, 4709])).
% 7.06/5.28 tff(21049,plain,
% 7.06/5.28 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB159) <=> (v118(constB159) | v121(constB159)))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21050,plain,
% 7.06/5.28 (v117(constB159) <=> (v118(constB159) | v121(constB159))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21049, 4718])).
% 7.06/5.28 tff(21051,plain,
% 7.06/5.28 ((v118(constB159) | v121(constB159)) | (~v121(constB159))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21052,plain,
% 7.06/5.28 (v118(constB159) | v121(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21051, 20989])).
% 7.06/5.28 tff(21053,plain,
% 7.06/5.28 ((~(v117(constB159) <=> (v118(constB159) | v121(constB159)))) | v117(constB159) | (~(v118(constB159) | v121(constB159)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21054,plain,
% 7.06/5.28 (v117(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21053, 21052, 21050])).
% 7.06/5.28 tff(21055,plain,
% 7.06/5.28 ((v117(constB159) | v122(constB159)) | (~v117(constB159))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21056,plain,
% 7.06/5.28 (v117(constB159) | v122(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21055, 21054])).
% 7.06/5.28 tff(21057,plain,
% 7.06/5.28 ((~(v116(constB159) <=> (v117(constB159) | v122(constB159)))) | v116(constB159) | (~(v117(constB159) | v122(constB159)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21058,plain,
% 7.06/5.28 (v116(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21057, 21056, 21048])).
% 7.06/5.28 tff(21059,plain,
% 7.06/5.28 ((v116(constB159) | v123(constB159)) | (~v116(constB159))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21060,plain,
% 7.06/5.28 (v116(constB159) | v123(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21059, 21058])).
% 7.06/5.28 tff(21061,plain,
% 7.06/5.28 ((~(v115(constB159) <=> (v116(constB159) | v123(constB159)))) | v115(constB159) | (~(v116(constB159) | v123(constB159)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21062,plain,
% 7.06/5.28 (v115(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21061, 21060, 21046])).
% 7.06/5.28 tff(21063,plain,
% 7.06/5.28 ((v115(constB159) | v124(constB159)) | (~v115(constB159))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21064,plain,
% 7.06/5.28 (v115(constB159) | v124(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21063, 21062])).
% 7.06/5.28 tff(21065,plain,
% 7.06/5.28 ((~(v114(constB159) <=> (v115(constB159) | v124(constB159)))) | v114(constB159) | (~(v115(constB159) | v124(constB159)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21066,plain,
% 7.06/5.28 (v114(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21065, 21064, 21044])).
% 7.06/5.28 tff(21067,plain,
% 7.06/5.28 ((v114(constB159) | v125(constB159)) | (~v114(constB159))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21068,plain,
% 7.06/5.28 (v114(constB159) | v125(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21067, 21066])).
% 7.06/5.28 tff(21069,plain,
% 7.06/5.28 ((~(v113(constB159) <=> (v114(constB159) | v125(constB159)))) | v113(constB159) | (~(v114(constB159) | v125(constB159)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21070,plain,
% 7.06/5.28 (v113(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21069, 21068, 21042])).
% 7.06/5.28 tff(21071,plain,
% 7.06/5.28 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB159)) <=> v111(constB159))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21072,plain,
% 7.06/5.28 ((~v126(constB159)) <=> v111(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21071, 4761])).
% 7.06/5.28 tff(21073,plain,
% 7.06/5.28 ((~((~v126(constB159)) <=> v111(constB159))) | v126(constB159) | v111(constB159)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21074,plain,
% 7.06/5.28 ((~((~v126(constB159)) <=> v111(constB159))) | v126(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21073, 17611])).
% 7.06/5.28 tff(21075,plain,
% 7.06/5.28 (v126(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21074, 21072])).
% 7.06/5.28 tff(21076,plain,
% 7.06/5.28 ((~((~v113(constB159)) | (~v126(constB159)))) | (~v113(constB159)) | (~v126(constB159))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21077,plain,
% 7.06/5.28 ((~((~v113(constB159)) | (~v126(constB159)))) | (~v113(constB159))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21076, 21075])).
% 7.06/5.28 tff(21078,plain,
% 7.06/5.28 (~((~v113(constB159)) | (~v126(constB159)))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21077, 21070])).
% 7.06/5.28 tff(21079,plain,
% 7.06/5.28 ((~(v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159)))))) | v112(constB159) | ((~v113(constB159)) | (~v126(constB159)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21080,plain,
% 7.06/5.28 (v112(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21079, 21078, 21040])).
% 7.06/5.28 tff(21081,plain,
% 7.06/5.28 ((v111(constB159) | v112(constB159)) | (~v112(constB159))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21082,plain,
% 7.06/5.28 (v111(constB159) | v112(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21081, 21080])).
% 7.06/5.28 tff(21083,plain,
% 7.06/5.28 ((~(v108(constB159) <=> (v111(constB159) | v112(constB159)))) | v108(constB159) | (~(v111(constB159) | v112(constB159)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21084,plain,
% 7.06/5.28 (v108(constB159)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21083, 21082, 21038])).
% 7.06/5.28 tff(21085,plain,
% 7.06/5.28 ((~(v110(constB160) <=> v108(constB159))) | v110(constB160) | (~v108(constB159))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21086,plain,
% 7.06/5.28 (v110(constB160)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21085, 21084, 21036])).
% 7.06/5.28 tff(21087,plain,
% 7.06/5.28 ((~((~v101(constB160)) | (~v110(constB160)))) | (~v101(constB160)) | (~v110(constB160))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21088,plain,
% 7.06/5.28 (~((~v101(constB160)) | (~v110(constB160)))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21087, 21086, 21032])).
% 7.06/5.28 tff(21089,plain,
% 7.06/5.28 ((~(v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160)))))) | v100(constB160) | ((~v101(constB160)) | (~v110(constB160)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21090,plain,
% 7.06/5.28 (v100(constB160)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21089, 21088, 21004])).
% 7.06/5.28 tff(21091,plain,
% 7.06/5.28 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB160)) | (~(((~v90(constB160, 2)) <=> v129(constB160, 2)) | ((~v90(constB160, 1)) <=> v129(constB160, 1)) | ((~v90(constB160, 0)) <=> v129(constB160, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB160)) | (~(((~v90(constB160, 2)) <=> v129(constB160, 2)) | ((~v90(constB160, 1)) <=> v129(constB160, 1)) | ((~v90(constB160, 0)) <=> v129(constB160, 0)))))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21092,plain,
% 7.06/5.28 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB160)) | (~(((~v90(constB160, 2)) <=> v129(constB160, 2)) | ((~v90(constB160, 1)) <=> v129(constB160, 1)) | ((~v90(constB160, 0)) <=> v129(constB160, 0)))))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21093,plain,
% 7.06/5.28 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB160)) | (~(((~v90(constB160, 2)) <=> v129(constB160, 2)) | ((~v90(constB160, 1)) <=> v129(constB160, 1)) | ((~v90(constB160, 0)) <=> v129(constB160, 0))))),
% 7.06/5.28 inference(modus_ponens,[status(thm)],[21092, 21091])).
% 7.06/5.28 tff(21094,plain,
% 7.06/5.28 ((~v100(constB160)) | (~(((~v90(constB160, 2)) <=> v129(constB160, 2)) | ((~v90(constB160, 1)) <=> v129(constB160, 1)) | ((~v90(constB160, 0)) <=> v129(constB160, 0))))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21093, 4794])).
% 7.06/5.28 tff(21095,plain,
% 7.06/5.28 (~(((~v90(constB160, 2)) <=> v129(constB160, 2)) | ((~v90(constB160, 1)) <=> v129(constB160, 1)) | ((~v90(constB160, 0)) <=> v129(constB160, 0)))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21094, 21090])).
% 7.06/5.28 tff(21096,plain,
% 7.06/5.28 ((((~v90(constB160, 2)) <=> v129(constB160, 2)) | ((~v90(constB160, 1)) <=> v129(constB160, 1)) | ((~v90(constB160, 0)) <=> v129(constB160, 0))) | (~((~v90(constB160, 2)) <=> v129(constB160, 2)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21097,plain,
% 7.06/5.28 (~((~v90(constB160, 2)) <=> v129(constB160, 2))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21096, 21095])).
% 7.06/5.28 tff(21098,plain,
% 7.06/5.28 (((~v90(constB160, 2)) <=> v129(constB160, 2)) | (~v90(constB160, 2)) | v129(constB160, 2)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21099,plain,
% 7.06/5.28 (~v90(constB160, 2)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21098, 21097, 21000])).
% 7.06/5.28 tff(21100,plain,
% 7.06/5.28 (((~v90(constB161, 2)) <=> v90(constB160, 2)) | (~v90(constB161, 2)) | v90(constB160, 2)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21101,plain,
% 7.06/5.28 (~v90(constB161, 2)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21100, 21099, 17595])).
% 7.06/5.28 tff(21102,plain,
% 7.06/5.28 ((((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 0)) <=> v90(constB160, 0))) | (~((~v90(constB161, 0)) <=> v90(constB160, 0)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21103,plain,
% 7.06/5.28 (~((~v90(constB161, 0)) <=> v90(constB160, 0))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21102, 17593])).
% 7.06/5.28 tff(21104,plain,
% 7.06/5.28 ((((~v129(constB160, 2)) <=> v127(constB159, 2)) | ((~v129(constB160, 1)) <=> v127(constB159, 1)) | ((~v129(constB160, 0)) <=> v127(constB159, 0))) | (~((~v129(constB160, 0)) <=> v127(constB159, 0)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21105,plain,
% 7.06/5.28 (~((~v129(constB160, 0)) <=> v127(constB159, 0))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21104, 17602])).
% 7.06/5.28 tff(21106,plain,
% 7.06/5.28 ((((~v127(constB159, 2)) <=> v130(constB159, 2)) | ((~v127(constB159, 1)) <=> v130(constB159, 1)) | ((~v127(constB159, 0)) <=> v130(constB159, 0))) | (~((~v127(constB159, 0)) <=> v130(constB159, 0)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21107,plain,
% 7.06/5.28 (~((~v127(constB159, 0)) <=> v130(constB159, 0))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21106, 17616])).
% 7.06/5.28 tff(21108,plain,
% 7.06/5.28 ((v130(constB159, 2) | (~v130(constB159, 1)) | (~v130(constB159, 0))) | v130(constB159, 0)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21109,plain,
% 7.06/5.28 (v130(constB159, 0)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21108, 20994])).
% 7.06/5.28 tff(21110,plain,
% 7.06/5.28 (((~v127(constB159, 0)) <=> v130(constB159, 0)) | v127(constB159, 0) | (~v130(constB159, 0))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21111,plain,
% 7.06/5.28 (v127(constB159, 0)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21110, 21109, 21107])).
% 7.06/5.28 tff(21112,plain,
% 7.06/5.28 (((~v129(constB160, 0)) <=> v127(constB159, 0)) | v129(constB160, 0) | (~v127(constB159, 0))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21113,plain,
% 7.06/5.28 (v129(constB160, 0)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21112, 21111, 21105])).
% 7.06/5.28 tff(21114,plain,
% 7.06/5.28 ((((~v90(constB160, 2)) <=> v129(constB160, 2)) | ((~v90(constB160, 1)) <=> v129(constB160, 1)) | ((~v90(constB160, 0)) <=> v129(constB160, 0))) | (~((~v90(constB160, 0)) <=> v129(constB160, 0)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21115,plain,
% 7.06/5.28 (~((~v90(constB160, 0)) <=> v129(constB160, 0))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21114, 21095])).
% 7.06/5.28 tff(21116,plain,
% 7.06/5.28 (((~v90(constB160, 0)) <=> v129(constB160, 0)) | v90(constB160, 0) | (~v129(constB160, 0))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21117,plain,
% 7.06/5.28 (v90(constB160, 0)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21116, 21115, 21113])).
% 7.06/5.28 tff(21118,plain,
% 7.06/5.28 (((~v90(constB161, 0)) <=> v90(constB160, 0)) | v90(constB161, 0) | (~v90(constB160, 0))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21119,plain,
% 7.06/5.28 (v90(constB161, 0)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21118, 21117, 21103])).
% 7.06/5.28 tff(21120,plain,
% 7.06/5.28 ((((~v90(constB161, 1)) <=> v90(constB160, 1)) | ((~v90(constB161, 2)) <=> v90(constB160, 2)) | ((~v90(constB161, 0)) <=> v90(constB160, 0))) | (~((~v90(constB161, 1)) <=> v90(constB160, 1)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21121,plain,
% 7.06/5.28 (~((~v90(constB161, 1)) <=> v90(constB160, 1))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21120, 17593])).
% 7.06/5.28 tff(21122,plain,
% 7.06/5.28 ((((~v129(constB160, 2)) <=> v127(constB159, 2)) | ((~v129(constB160, 1)) <=> v127(constB159, 1)) | ((~v129(constB160, 0)) <=> v127(constB159, 0))) | (~((~v129(constB160, 1)) <=> v127(constB159, 1)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21123,plain,
% 7.06/5.28 (~((~v129(constB160, 1)) <=> v127(constB159, 1))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21122, 17602])).
% 7.06/5.28 tff(21124,plain,
% 7.06/5.28 ((((~v127(constB159, 2)) <=> v130(constB159, 2)) | ((~v127(constB159, 1)) <=> v130(constB159, 1)) | ((~v127(constB159, 0)) <=> v130(constB159, 0))) | (~((~v127(constB159, 1)) <=> v130(constB159, 1)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21125,plain,
% 7.06/5.28 (~((~v127(constB159, 1)) <=> v130(constB159, 1))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21124, 17616])).
% 7.06/5.28 tff(21126,plain,
% 7.06/5.28 ((v130(constB159, 2) | (~v130(constB159, 1)) | (~v130(constB159, 0))) | v130(constB159, 1)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21127,plain,
% 7.06/5.28 (v130(constB159, 1)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21126, 20994])).
% 7.06/5.28 tff(21128,plain,
% 7.06/5.28 (((~v127(constB159, 1)) <=> v130(constB159, 1)) | v127(constB159, 1) | (~v130(constB159, 1))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21129,plain,
% 7.06/5.28 (v127(constB159, 1)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21128, 21127, 21125])).
% 7.06/5.28 tff(21130,plain,
% 7.06/5.28 (((~v129(constB160, 1)) <=> v127(constB159, 1)) | v129(constB160, 1) | (~v127(constB159, 1))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21131,plain,
% 7.06/5.28 (v129(constB160, 1)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21130, 21129, 21123])).
% 7.06/5.28 tff(21132,plain,
% 7.06/5.28 ((((~v90(constB160, 2)) <=> v129(constB160, 2)) | ((~v90(constB160, 1)) <=> v129(constB160, 1)) | ((~v90(constB160, 0)) <=> v129(constB160, 0))) | (~((~v90(constB160, 1)) <=> v129(constB160, 1)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21133,plain,
% 7.06/5.28 (~((~v90(constB160, 1)) <=> v129(constB160, 1))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21132, 21095])).
% 7.06/5.28 tff(21134,plain,
% 7.06/5.28 (((~v90(constB160, 1)) <=> v129(constB160, 1)) | v90(constB160, 1) | (~v129(constB160, 1))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21135,plain,
% 7.06/5.28 (v90(constB160, 1)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21134, 21133, 21131])).
% 7.06/5.28 tff(21136,plain,
% 7.06/5.28 (((~v90(constB161, 1)) <=> v90(constB160, 1)) | v90(constB161, 1) | (~v90(constB160, 1))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21137,plain,
% 7.06/5.28 (v90(constB161, 1)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21136, 21135, 21121])).
% 7.06/5.28 tff(21138,plain,
% 7.06/5.28 ((~(v90(constB161, 2) | (~v90(constB161, 1)) | (~v90(constB161, 0)))) | v90(constB161, 2) | (~v90(constB161, 1)) | (~v90(constB161, 0))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21139,plain,
% 7.06/5.28 (~(v90(constB161, 2) | (~v90(constB161, 1)) | (~v90(constB161, 0)))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21138, 21137, 21119, 21101])).
% 7.06/5.28 tff(21140,plain,
% 7.06/5.28 ((~(v122(constB161) <=> (~(v90(constB161, 2) | (~v90(constB161, 1)) | (~v90(constB161, 0)))))) | v122(constB161) | (v90(constB161, 2) | (~v90(constB161, 1)) | (~v90(constB161, 0)))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21141,plain,
% 7.06/5.28 (v122(constB161)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21140, 21139, 17559])).
% 7.06/5.28 tff(21142,plain,
% 7.06/5.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB161)) | (~(v130(constB161, 1) | v130(constB161, 0) | (~v130(constB161, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB161)) | (~(v130(constB161, 1) | v130(constB161, 0) | (~v130(constB161, 2)))))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21143,plain,
% 7.06/5.28 (((~v122(constB161)) | (~(v130(constB161, 0) | v130(constB161, 1) | (~v130(constB161, 2))))) <=> ((~v122(constB161)) | (~(v130(constB161, 1) | v130(constB161, 0) | (~v130(constB161, 2)))))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21144,plain,
% 7.06/5.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB161)) | (~(v130(constB161, 0) | v130(constB161, 1) | (~v130(constB161, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB161)) | (~(v130(constB161, 1) | v130(constB161, 0) | (~v130(constB161, 2))))))),
% 7.06/5.28 inference(monotonicity,[status(thm)],[21143])).
% 7.06/5.28 tff(21145,plain,
% 7.06/5.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB161)) | (~(v130(constB161, 0) | v130(constB161, 1) | (~v130(constB161, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB161)) | (~(v130(constB161, 1) | v130(constB161, 0) | (~v130(constB161, 2)))))),
% 7.06/5.28 inference(transitivity,[status(thm)],[21144, 21142])).
% 7.06/5.28 tff(21146,plain,
% 7.06/5.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB161)) | (~(v130(constB161, 0) | v130(constB161, 1) | (~v130(constB161, 2)))))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21147,plain,
% 7.06/5.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB161)) | (~(v130(constB161, 1) | v130(constB161, 0) | (~v130(constB161, 2))))),
% 7.06/5.28 inference(modus_ponens,[status(thm)],[21146, 21145])).
% 7.06/5.28 tff(21148,plain,
% 7.06/5.28 ((~v122(constB161)) | (~(v130(constB161, 1) | v130(constB161, 0) | (~v130(constB161, 2))))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21147, 5588])).
% 7.06/5.28 tff(21149,plain,
% 7.06/5.28 (~(v130(constB161, 1) | v130(constB161, 0) | (~v130(constB161, 2)))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21148, 21141])).
% 7.06/5.28 tff(21150,plain,
% 7.06/5.28 ((v130(constB161, 1) | v130(constB161, 0) | (~v130(constB161, 2))) | v130(constB161, 2)),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21151,plain,
% 7.06/5.28 (v130(constB161, 2)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21150, 21149])).
% 7.06/5.28 tff(21152,plain,
% 7.06/5.28 (((~v127(constB161, 2)) <=> v130(constB161, 2)) | v127(constB161, 2) | (~v130(constB161, 2))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21153,plain,
% 7.06/5.28 (v127(constB161, 2)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21152, 21151, 17552])).
% 7.06/5.28 tff(21154,plain,
% 7.06/5.28 (((~v129(constB162, 2)) <=> v127(constB161, 2)) | v129(constB162, 2) | (~v127(constB161, 2))),
% 7.06/5.28 inference(tautology,[status(thm)],[])).
% 7.06/5.28 tff(21155,plain,
% 7.06/5.28 (v129(constB162, 2)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21154, 21153, 17538])).
% 7.06/5.28 tff(21156,plain,
% 7.06/5.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21157,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21158,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162)))))),
% 7.06/5.28 inference(modus_ponens,[status(thm)],[21157, 21156])).
% 7.06/5.28 tff(21159,plain,
% 7.06/5.28 (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21158, 17532, 273])).
% 7.06/5.28 tff(21160,plain,
% 7.06/5.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21161,plain,
% 7.06/5.28 (((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162)))))) <=> ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21162,plain,
% 7.06/5.28 (((~![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) <=> (~((~v1(constB162)) | (~v102(constB162)))))))),
% 7.06/5.28 inference(monotonicity,[status(thm)],[21161])).
% 7.06/5.28 tff(21163,plain,
% 7.06/5.28 (((~![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) <=> (~((~v1(constB162)) | (~v102(constB162))))))),
% 7.06/5.28 inference(transitivity,[status(thm)],[21162, 21160])).
% 7.06/5.28 tff(21164,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162))))))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21165,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162)))))),
% 7.06/5.28 inference(modus_ponens,[status(thm)],[21164, 21163])).
% 7.06/5.28 tff(21166,plain,
% 7.06/5.28 (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21165, 17532, 293])).
% 7.06/5.28 tff(21167,plain,
% 7.06/5.28 (((~![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)))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21168,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162)))),
% 7.06/5.28 inference(quant_inst,[status(thm)],[])).
% 7.06/5.28 tff(21169,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162))),
% 7.06/5.28 inference(modus_ponens,[status(thm)],[21168, 21167])).
% 7.06/5.28 tff(21170,plain,
% 7.06/5.28 ((~v102(constB162)) <=> v104(constB162)),
% 7.06/5.28 inference(unit_resolution,[status(thm)],[21169, 17532, 4609])).
% 7.06/5.28 tff(21171,plain,
% 7.06/5.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161)))),
% 7.06/5.28 inference(rewrite,[status(thm)],[])).
% 7.06/5.28 tff(21172,plain,
% 7.06/5.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161)))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21173,plain,
% 7.06/5.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161))),
% 7.06/5.29 inference(modus_ponens,[status(thm)],[21172, 21171])).
% 7.06/5.29 tff(21174,plain,
% 7.06/5.29 (v104(constB162) <=> v1(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21173, 17532, 4623])).
% 7.06/5.29 tff(21175,plain,
% 7.06/5.29 ((~(v104(constB162) <=> v1(constB161))) | (~v104(constB162)) | v1(constB161)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21176,plain,
% 7.06/5.29 ((~(v104(constB162) <=> v1(constB161))) | (~v104(constB162))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21175, 17576])).
% 7.06/5.29 tff(21177,plain,
% 7.06/5.29 (~v104(constB162)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21176, 21174])).
% 7.06/5.29 tff(21178,plain,
% 7.06/5.29 ((~((~v102(constB162)) <=> v104(constB162))) | v102(constB162) | v104(constB162)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21179,plain,
% 7.06/5.29 (v102(constB162)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21178, 21177, 21170])).
% 7.06/5.29 tff(21180,plain,
% 7.06/5.29 (v1(constB162) <=> v1(constB162)),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21181,axiom,(v1(constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_162')).
% 7.06/5.29 tff(21182,plain,
% 7.06/5.29 (v1(constB162)),
% 7.06/5.29 inference(modus_ponens,[status(thm)],[21181, 21180])).
% 7.06/5.29 tff(21183,plain,
% 7.06/5.29 ((~((~v1(constB162)) | (~v102(constB162)))) | (~v1(constB162)) | (~v102(constB162))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21184,plain,
% 7.06/5.29 ((~((~v1(constB162)) | (~v102(constB162)))) | (~v102(constB162))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21183, 21182])).
% 7.06/5.29 tff(21185,plain,
% 7.06/5.29 (~((~v1(constB162)) | (~v102(constB162)))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21184, 21179])).
% 7.06/5.29 tff(21186,plain,
% 7.06/5.29 ((~(v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162)))))) | v101(constB162) | ((~v1(constB162)) | (~v102(constB162)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21187,plain,
% 7.06/5.29 (v101(constB162)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21186, 21185, 21166])).
% 7.06/5.29 tff(21188,plain,
% 7.06/5.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161)))),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21189,plain,
% 7.06/5.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161)))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21190,plain,
% 7.06/5.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161))),
% 7.06/5.29 inference(modus_ponens,[status(thm)],[21189, 21188])).
% 7.06/5.29 tff(21191,plain,
% 7.06/5.29 (v110(constB162) <=> v108(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21190, 17532, 4650])).
% 7.06/5.29 tff(21192,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB161) <=> (v111(constB161) | v112(constB161)))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21193,plain,
% 7.06/5.29 (v108(constB161) <=> (v111(constB161) | v112(constB161))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21192, 4661])).
% 7.06/5.29 tff(21194,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161)))))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21195,plain,
% 7.06/5.29 (v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161))))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21194, 4673])).
% 7.06/5.29 tff(21196,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB161) <=> (v114(constB161) | v125(constB161)))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21197,plain,
% 7.06/5.29 (v113(constB161) <=> (v114(constB161) | v125(constB161))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21196, 4682])).
% 7.06/5.29 tff(21198,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB161) <=> (v115(constB161) | v124(constB161)))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21199,plain,
% 7.06/5.29 (v114(constB161) <=> (v115(constB161) | v124(constB161))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21198, 4691])).
% 7.06/5.29 tff(21200,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB161) <=> (v116(constB161) | v123(constB161)))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21201,plain,
% 7.06/5.29 (v115(constB161) <=> (v116(constB161) | v123(constB161))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21200, 4700])).
% 7.06/5.29 tff(21202,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB161) <=> (v117(constB161) | v122(constB161)))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21203,plain,
% 7.06/5.29 (v116(constB161) <=> (v117(constB161) | v122(constB161))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21202, 4709])).
% 7.06/5.29 tff(21204,plain,
% 7.06/5.29 ((v117(constB161) | v122(constB161)) | (~v122(constB161))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21205,plain,
% 7.06/5.29 (v117(constB161) | v122(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21204, 21141])).
% 7.06/5.29 tff(21206,plain,
% 7.06/5.29 ((~(v116(constB161) <=> (v117(constB161) | v122(constB161)))) | v116(constB161) | (~(v117(constB161) | v122(constB161)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21207,plain,
% 7.06/5.29 (v116(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21206, 21205, 21203])).
% 7.06/5.29 tff(21208,plain,
% 7.06/5.29 ((v116(constB161) | v123(constB161)) | (~v116(constB161))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21209,plain,
% 7.06/5.29 (v116(constB161) | v123(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21208, 21207])).
% 7.06/5.29 tff(21210,plain,
% 7.06/5.29 ((~(v115(constB161) <=> (v116(constB161) | v123(constB161)))) | v115(constB161) | (~(v116(constB161) | v123(constB161)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21211,plain,
% 7.06/5.29 (v115(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21210, 21209, 21201])).
% 7.06/5.29 tff(21212,plain,
% 7.06/5.29 ((v115(constB161) | v124(constB161)) | (~v115(constB161))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21213,plain,
% 7.06/5.29 (v115(constB161) | v124(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21212, 21211])).
% 7.06/5.29 tff(21214,plain,
% 7.06/5.29 ((~(v114(constB161) <=> (v115(constB161) | v124(constB161)))) | v114(constB161) | (~(v115(constB161) | v124(constB161)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21215,plain,
% 7.06/5.29 (v114(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21214, 21213, 21199])).
% 7.06/5.29 tff(21216,plain,
% 7.06/5.29 ((v114(constB161) | v125(constB161)) | (~v114(constB161))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21217,plain,
% 7.06/5.29 (v114(constB161) | v125(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21216, 21215])).
% 7.06/5.29 tff(21218,plain,
% 7.06/5.29 ((~(v113(constB161) <=> (v114(constB161) | v125(constB161)))) | v113(constB161) | (~(v114(constB161) | v125(constB161)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21219,plain,
% 7.06/5.29 (v113(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21218, 21217, 21197])).
% 7.06/5.29 tff(21220,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB161)) <=> v111(constB161))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21221,plain,
% 7.06/5.29 ((~v126(constB161)) <=> v111(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21220, 4761])).
% 7.06/5.29 tff(21222,plain,
% 7.06/5.29 ((~((~v126(constB161)) <=> v111(constB161))) | v126(constB161) | v111(constB161)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21223,plain,
% 7.06/5.29 ((~((~v126(constB161)) <=> v111(constB161))) | v126(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21222, 17545])).
% 7.06/5.29 tff(21224,plain,
% 7.06/5.29 (v126(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21223, 21221])).
% 7.06/5.29 tff(21225,plain,
% 7.06/5.29 ((~((~v113(constB161)) | (~v126(constB161)))) | (~v113(constB161)) | (~v126(constB161))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21226,plain,
% 7.06/5.29 ((~((~v113(constB161)) | (~v126(constB161)))) | (~v113(constB161))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21225, 21224])).
% 7.06/5.29 tff(21227,plain,
% 7.06/5.29 (~((~v113(constB161)) | (~v126(constB161)))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21226, 21219])).
% 7.06/5.29 tff(21228,plain,
% 7.06/5.29 ((~(v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161)))))) | v112(constB161) | ((~v113(constB161)) | (~v126(constB161)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21229,plain,
% 7.06/5.29 (v112(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21228, 21227, 21195])).
% 7.06/5.29 tff(21230,plain,
% 7.06/5.29 ((v111(constB161) | v112(constB161)) | (~v112(constB161))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21231,plain,
% 7.06/5.29 (v111(constB161) | v112(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21230, 21229])).
% 7.06/5.29 tff(21232,plain,
% 7.06/5.29 ((~(v108(constB161) <=> (v111(constB161) | v112(constB161)))) | v108(constB161) | (~(v111(constB161) | v112(constB161)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21233,plain,
% 7.06/5.29 (v108(constB161)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21232, 21231, 21193])).
% 7.06/5.29 tff(21234,plain,
% 7.06/5.29 ((~(v110(constB162) <=> v108(constB161))) | v110(constB162) | (~v108(constB161))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21235,plain,
% 7.06/5.29 (v110(constB162)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21234, 21233, 21191])).
% 7.06/5.29 tff(21236,plain,
% 7.06/5.29 ((~((~v101(constB162)) | (~v110(constB162)))) | (~v101(constB162)) | (~v110(constB162))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21237,plain,
% 7.06/5.29 (~((~v101(constB162)) | (~v110(constB162)))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21236, 21235, 21187])).
% 7.06/5.29 tff(21238,plain,
% 7.06/5.29 ((~(v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162)))))) | v100(constB162) | ((~v101(constB162)) | (~v110(constB162)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21239,plain,
% 7.06/5.29 (v100(constB162)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21238, 21237, 21159])).
% 7.06/5.29 tff(21240,plain,
% 7.06/5.29 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB162)) | (~(((~v90(constB162, 0)) <=> v129(constB162, 0)) | ((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB162)) | (~(((~v90(constB162, 0)) <=> v129(constB162, 0)) | ((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1)))))),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21241,plain,
% 7.06/5.29 (((~v100(constB162)) | (~(((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1)) | ((~v90(constB162, 0)) <=> v129(constB162, 0))))) <=> ((~v100(constB162)) | (~(((~v90(constB162, 0)) <=> v129(constB162, 0)) | ((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1)))))),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21242,plain,
% 7.06/5.29 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB162)) | (~(((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1)) | ((~v90(constB162, 0)) <=> v129(constB162, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB162)) | (~(((~v90(constB162, 0)) <=> v129(constB162, 0)) | ((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1))))))),
% 7.06/5.29 inference(monotonicity,[status(thm)],[21241])).
% 7.06/5.29 tff(21243,plain,
% 7.06/5.29 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB162)) | (~(((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1)) | ((~v90(constB162, 0)) <=> v129(constB162, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB162)) | (~(((~v90(constB162, 0)) <=> v129(constB162, 0)) | ((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1)))))),
% 7.06/5.29 inference(transitivity,[status(thm)],[21242, 21240])).
% 7.06/5.29 tff(21244,plain,
% 7.06/5.29 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB162)) | (~(((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1)) | ((~v90(constB162, 0)) <=> v129(constB162, 0)))))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21245,plain,
% 7.06/5.29 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB162)) | (~(((~v90(constB162, 0)) <=> v129(constB162, 0)) | ((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1))))),
% 7.06/5.29 inference(modus_ponens,[status(thm)],[21244, 21243])).
% 7.06/5.29 tff(21246,plain,
% 7.06/5.29 ((~v100(constB162)) | (~(((~v90(constB162, 0)) <=> v129(constB162, 0)) | ((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1))))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21245, 4794])).
% 7.06/5.29 tff(21247,plain,
% 7.06/5.29 (~(((~v90(constB162, 0)) <=> v129(constB162, 0)) | ((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1)))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21246, 21239])).
% 7.06/5.29 tff(21248,plain,
% 7.06/5.29 ((((~v90(constB162, 0)) <=> v129(constB162, 0)) | ((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1))) | (~((~v90(constB162, 2)) <=> v129(constB162, 2)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21249,plain,
% 7.06/5.29 (~((~v90(constB162, 2)) <=> v129(constB162, 2))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21248, 21247])).
% 7.06/5.29 tff(21250,plain,
% 7.06/5.29 (((~v90(constB162, 2)) <=> v129(constB162, 2)) | v90(constB162, 2) | (~v129(constB162, 2))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21251,plain,
% 7.06/5.29 (v90(constB162, 2)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21250, 21249, 21155])).
% 7.06/5.29 tff(21252,plain,
% 7.06/5.29 (((~v90(constB163, 2)) <=> v90(constB162, 2)) | v90(constB163, 2) | (~v90(constB162, 2))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21253,plain,
% 7.06/5.29 (v90(constB163, 2)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21252, 21251, 17529])).
% 7.06/5.29 tff(21254,plain,
% 7.06/5.29 ((((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 0)) <=> v90(constB162, 0))) | (~((~v90(constB163, 0)) <=> v90(constB162, 0)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21255,plain,
% 7.06/5.29 (~((~v90(constB163, 0)) <=> v90(constB162, 0))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21254, 17527])).
% 7.06/5.29 tff(21256,plain,
% 7.06/5.29 ((((~v129(constB162, 2)) <=> v127(constB161, 2)) | ((~v129(constB162, 1)) <=> v127(constB161, 1)) | ((~v129(constB162, 0)) <=> v127(constB161, 0))) | (~((~v129(constB162, 0)) <=> v127(constB161, 0)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21257,plain,
% 7.06/5.29 (~((~v129(constB162, 0)) <=> v127(constB161, 0))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21256, 17536])).
% 7.06/5.29 tff(21258,plain,
% 7.06/5.29 ((((~v127(constB161, 2)) <=> v130(constB161, 2)) | ((~v127(constB161, 1)) <=> v130(constB161, 1)) | ((~v127(constB161, 0)) <=> v130(constB161, 0))) | (~((~v127(constB161, 0)) <=> v130(constB161, 0)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21259,plain,
% 7.06/5.29 (~((~v127(constB161, 0)) <=> v130(constB161, 0))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21258, 17550])).
% 7.06/5.29 tff(21260,plain,
% 7.06/5.29 ((v130(constB161, 1) | v130(constB161, 0) | (~v130(constB161, 2))) | (~v130(constB161, 0))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21261,plain,
% 7.06/5.29 (~v130(constB161, 0)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21260, 21149])).
% 7.06/5.29 tff(21262,plain,
% 7.06/5.29 (((~v127(constB161, 0)) <=> v130(constB161, 0)) | (~v127(constB161, 0)) | v130(constB161, 0)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21263,plain,
% 7.06/5.29 (~v127(constB161, 0)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21262, 21261, 21259])).
% 7.06/5.29 tff(21264,plain,
% 7.06/5.29 (((~v129(constB162, 0)) <=> v127(constB161, 0)) | (~v129(constB162, 0)) | v127(constB161, 0)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21265,plain,
% 7.06/5.29 (~v129(constB162, 0)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21264, 21263, 21257])).
% 7.06/5.29 tff(21266,plain,
% 7.06/5.29 ((((~v90(constB162, 0)) <=> v129(constB162, 0)) | ((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1))) | (~((~v90(constB162, 0)) <=> v129(constB162, 0)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21267,plain,
% 7.06/5.29 (~((~v90(constB162, 0)) <=> v129(constB162, 0))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21266, 21247])).
% 7.06/5.29 tff(21268,plain,
% 7.06/5.29 (((~v90(constB162, 0)) <=> v129(constB162, 0)) | (~v90(constB162, 0)) | v129(constB162, 0)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21269,plain,
% 7.06/5.29 (~v90(constB162, 0)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21268, 21267, 21265])).
% 7.06/5.29 tff(21270,plain,
% 7.06/5.29 (((~v90(constB163, 0)) <=> v90(constB162, 0)) | (~v90(constB163, 0)) | v90(constB162, 0)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21271,plain,
% 7.06/5.29 (~v90(constB163, 0)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21270, 21269, 21255])).
% 7.06/5.29 tff(21272,plain,
% 7.06/5.29 ((((~v90(constB163, 1)) <=> v90(constB162, 1)) | ((~v90(constB163, 2)) <=> v90(constB162, 2)) | ((~v90(constB163, 0)) <=> v90(constB162, 0))) | (~((~v90(constB163, 1)) <=> v90(constB162, 1)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21273,plain,
% 7.06/5.29 (~((~v90(constB163, 1)) <=> v90(constB162, 1))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21272, 17527])).
% 7.06/5.29 tff(21274,plain,
% 7.06/5.29 ((((~v129(constB162, 2)) <=> v127(constB161, 2)) | ((~v129(constB162, 1)) <=> v127(constB161, 1)) | ((~v129(constB162, 0)) <=> v127(constB161, 0))) | (~((~v129(constB162, 1)) <=> v127(constB161, 1)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21275,plain,
% 7.06/5.29 (~((~v129(constB162, 1)) <=> v127(constB161, 1))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21274, 17536])).
% 7.06/5.29 tff(21276,plain,
% 7.06/5.29 ((((~v127(constB161, 2)) <=> v130(constB161, 2)) | ((~v127(constB161, 1)) <=> v130(constB161, 1)) | ((~v127(constB161, 0)) <=> v130(constB161, 0))) | (~((~v127(constB161, 1)) <=> v130(constB161, 1)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21277,plain,
% 7.06/5.29 (~((~v127(constB161, 1)) <=> v130(constB161, 1))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21276, 17550])).
% 7.06/5.29 tff(21278,plain,
% 7.06/5.29 ((v130(constB161, 1) | v130(constB161, 0) | (~v130(constB161, 2))) | (~v130(constB161, 1))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21279,plain,
% 7.06/5.29 (~v130(constB161, 1)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21278, 21149])).
% 7.06/5.29 tff(21280,plain,
% 7.06/5.29 (((~v127(constB161, 1)) <=> v130(constB161, 1)) | (~v127(constB161, 1)) | v130(constB161, 1)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21281,plain,
% 7.06/5.29 (~v127(constB161, 1)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21280, 21279, 21277])).
% 7.06/5.29 tff(21282,plain,
% 7.06/5.29 (((~v129(constB162, 1)) <=> v127(constB161, 1)) | (~v129(constB162, 1)) | v127(constB161, 1)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21283,plain,
% 7.06/5.29 (~v129(constB162, 1)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21282, 21281, 21275])).
% 7.06/5.29 tff(21284,plain,
% 7.06/5.29 ((((~v90(constB162, 0)) <=> v129(constB162, 0)) | ((~v90(constB162, 2)) <=> v129(constB162, 2)) | ((~v90(constB162, 1)) <=> v129(constB162, 1))) | (~((~v90(constB162, 1)) <=> v129(constB162, 1)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21285,plain,
% 7.06/5.29 (~((~v90(constB162, 1)) <=> v129(constB162, 1))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21284, 21247])).
% 7.06/5.29 tff(21286,plain,
% 7.06/5.29 (((~v90(constB162, 1)) <=> v129(constB162, 1)) | (~v90(constB162, 1)) | v129(constB162, 1)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21287,plain,
% 7.06/5.29 (~v90(constB162, 1)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21286, 21285, 21283])).
% 7.06/5.29 tff(21288,plain,
% 7.06/5.29 (((~v90(constB163, 1)) <=> v90(constB162, 1)) | (~v90(constB163, 1)) | v90(constB162, 1)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21289,plain,
% 7.06/5.29 (~v90(constB163, 1)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21288, 21287, 21273])).
% 7.06/5.29 tff(21290,plain,
% 7.06/5.29 ((~(v90(constB163, 1) | v90(constB163, 0) | (~v90(constB163, 2)))) | v90(constB163, 1) | v90(constB163, 0) | (~v90(constB163, 2))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21291,plain,
% 7.06/5.29 (~(v90(constB163, 1) | v90(constB163, 0) | (~v90(constB163, 2)))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21290, 21289, 21271, 21253])).
% 7.06/5.29 tff(21292,plain,
% 7.06/5.29 ((~(v123(constB163) <=> (~(v90(constB163, 1) | v90(constB163, 0) | (~v90(constB163, 2)))))) | v123(constB163) | (v90(constB163, 1) | v90(constB163, 0) | (~v90(constB163, 2)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21293,plain,
% 7.06/5.29 (v123(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21292, 21291, 17493])).
% 7.06/5.29 tff(21294,plain,
% 7.06/5.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB163)) | (~(v130(constB163, 0) | (~v130(constB163, 2)) | (~v130(constB163, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB163)) | (~(v130(constB163, 0) | (~v130(constB163, 2)) | (~v130(constB163, 1)))))),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21295,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB163)) | (~(v130(constB163, 0) | (~v130(constB163, 2)) | (~v130(constB163, 1)))))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21296,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB163)) | (~(v130(constB163, 0) | (~v130(constB163, 2)) | (~v130(constB163, 1))))),
% 7.06/5.29 inference(modus_ponens,[status(thm)],[21295, 21294])).
% 7.06/5.29 tff(21297,plain,
% 7.06/5.29 ((~v123(constB163)) | (~(v130(constB163, 0) | (~v130(constB163, 2)) | (~v130(constB163, 1))))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21296, 4861])).
% 7.06/5.29 tff(21298,plain,
% 7.06/5.29 (~(v130(constB163, 0) | (~v130(constB163, 2)) | (~v130(constB163, 1)))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21297, 21293])).
% 7.06/5.29 tff(21299,plain,
% 7.06/5.29 ((v130(constB163, 0) | (~v130(constB163, 2)) | (~v130(constB163, 1))) | v130(constB163, 2)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21300,plain,
% 7.06/5.29 (v130(constB163, 2)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21299, 21298])).
% 7.06/5.29 tff(21301,plain,
% 7.06/5.29 (((~v127(constB163, 2)) <=> v130(constB163, 2)) | v127(constB163, 2) | (~v130(constB163, 2))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21302,plain,
% 7.06/5.29 (v127(constB163, 2)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21301, 21300, 17486])).
% 7.06/5.29 tff(21303,plain,
% 7.06/5.29 (((~v129(constB164, 2)) <=> v127(constB163, 2)) | v129(constB164, 2) | (~v127(constB163, 2))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21304,plain,
% 7.06/5.29 (v129(constB164, 2)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21303, 21302, 17472])).
% 7.06/5.29 tff(21305,plain,
% 7.06/5.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))))),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21306,plain,
% 7.06/5.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21307,plain,
% 7.06/5.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164)))))),
% 7.06/5.29 inference(modus_ponens,[status(thm)],[21306, 21305])).
% 7.06/5.29 tff(21308,plain,
% 7.06/5.29 (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21307, 17466, 273])).
% 7.06/5.29 tff(21309,plain,
% 7.06/5.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21310,plain,
% 7.06/5.29 (((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164)))))) <=> ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21311,plain,
% 7.06/5.29 (((~![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) <=> (~((~v1(constB164)) | (~v102(constB164)))))))),
% 7.06/5.29 inference(monotonicity,[status(thm)],[21310])).
% 7.06/5.29 tff(21312,plain,
% 7.06/5.29 (((~![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) <=> (~((~v1(constB164)) | (~v102(constB164))))))),
% 7.06/5.29 inference(transitivity,[status(thm)],[21311, 21309])).
% 7.06/5.29 tff(21313,plain,
% 7.06/5.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164))))))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21314,plain,
% 7.06/5.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164)))))),
% 7.06/5.29 inference(modus_ponens,[status(thm)],[21313, 21312])).
% 7.06/5.29 tff(21315,plain,
% 7.06/5.29 (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21314, 17466, 293])).
% 7.06/5.29 tff(21316,plain,
% 7.06/5.29 (((~![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)))),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21317,plain,
% 7.06/5.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164)))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21318,plain,
% 7.06/5.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164))),
% 7.06/5.29 inference(modus_ponens,[status(thm)],[21317, 21316])).
% 7.06/5.29 tff(21319,plain,
% 7.06/5.29 ((~v102(constB164)) <=> v104(constB164)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21318, 17466, 4609])).
% 7.06/5.29 tff(21320,plain,
% 7.06/5.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163)))),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21321,plain,
% 7.06/5.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163)))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21322,plain,
% 7.06/5.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163))),
% 7.06/5.29 inference(modus_ponens,[status(thm)],[21321, 21320])).
% 7.06/5.29 tff(21323,plain,
% 7.06/5.29 (v104(constB164) <=> v1(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21322, 17466, 4623])).
% 7.06/5.29 tff(21324,plain,
% 7.06/5.29 ((~(v104(constB164) <=> v1(constB163))) | (~v104(constB164)) | v1(constB163)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21325,plain,
% 7.06/5.29 ((~(v104(constB164) <=> v1(constB163))) | (~v104(constB164))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21324, 17510])).
% 7.06/5.29 tff(21326,plain,
% 7.06/5.29 (~v104(constB164)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21325, 21323])).
% 7.06/5.29 tff(21327,plain,
% 7.06/5.29 ((~((~v102(constB164)) <=> v104(constB164))) | v102(constB164) | v104(constB164)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21328,plain,
% 7.06/5.29 (v102(constB164)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21327, 21326, 21319])).
% 7.06/5.29 tff(21329,plain,
% 7.06/5.29 (v1(constB164) <=> v1(constB164)),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21330,axiom,(v1(constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_164')).
% 7.06/5.29 tff(21331,plain,
% 7.06/5.29 (v1(constB164)),
% 7.06/5.29 inference(modus_ponens,[status(thm)],[21330, 21329])).
% 7.06/5.29 tff(21332,plain,
% 7.06/5.29 ((~((~v1(constB164)) | (~v102(constB164)))) | (~v1(constB164)) | (~v102(constB164))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21333,plain,
% 7.06/5.29 ((~((~v1(constB164)) | (~v102(constB164)))) | (~v102(constB164))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21332, 21331])).
% 7.06/5.29 tff(21334,plain,
% 7.06/5.29 (~((~v1(constB164)) | (~v102(constB164)))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21333, 21328])).
% 7.06/5.29 tff(21335,plain,
% 7.06/5.29 ((~(v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164)))))) | v101(constB164) | ((~v1(constB164)) | (~v102(constB164)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21336,plain,
% 7.06/5.29 (v101(constB164)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21335, 21334, 21315])).
% 7.06/5.29 tff(21337,plain,
% 7.06/5.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163)))),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21338,plain,
% 7.06/5.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163)))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21339,plain,
% 7.06/5.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163))),
% 7.06/5.29 inference(modus_ponens,[status(thm)],[21338, 21337])).
% 7.06/5.29 tff(21340,plain,
% 7.06/5.29 (v110(constB164) <=> v108(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21339, 17466, 4650])).
% 7.06/5.29 tff(21341,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB163) <=> (v111(constB163) | v112(constB163)))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21342,plain,
% 7.06/5.29 (v108(constB163) <=> (v111(constB163) | v112(constB163))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21341, 4661])).
% 7.06/5.29 tff(21343,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163)))))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21344,plain,
% 7.06/5.29 (v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163))))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21343, 4673])).
% 7.06/5.29 tff(21345,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB163) <=> (v114(constB163) | v125(constB163)))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21346,plain,
% 7.06/5.29 (v113(constB163) <=> (v114(constB163) | v125(constB163))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21345, 4682])).
% 7.06/5.29 tff(21347,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB163) <=> (v115(constB163) | v124(constB163)))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21348,plain,
% 7.06/5.29 (v114(constB163) <=> (v115(constB163) | v124(constB163))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21347, 4691])).
% 7.06/5.29 tff(21349,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB163) <=> (v116(constB163) | v123(constB163)))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21350,plain,
% 7.06/5.29 (v115(constB163) <=> (v116(constB163) | v123(constB163))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21349, 4700])).
% 7.06/5.29 tff(21351,plain,
% 7.06/5.29 ((v116(constB163) | v123(constB163)) | (~v123(constB163))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21352,plain,
% 7.06/5.29 (v116(constB163) | v123(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21351, 21293])).
% 7.06/5.29 tff(21353,plain,
% 7.06/5.29 ((~(v115(constB163) <=> (v116(constB163) | v123(constB163)))) | v115(constB163) | (~(v116(constB163) | v123(constB163)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21354,plain,
% 7.06/5.29 (v115(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21353, 21352, 21350])).
% 7.06/5.29 tff(21355,plain,
% 7.06/5.29 ((v115(constB163) | v124(constB163)) | (~v115(constB163))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21356,plain,
% 7.06/5.29 (v115(constB163) | v124(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21355, 21354])).
% 7.06/5.29 tff(21357,plain,
% 7.06/5.29 ((~(v114(constB163) <=> (v115(constB163) | v124(constB163)))) | v114(constB163) | (~(v115(constB163) | v124(constB163)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21358,plain,
% 7.06/5.29 (v114(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21357, 21356, 21348])).
% 7.06/5.29 tff(21359,plain,
% 7.06/5.29 ((v114(constB163) | v125(constB163)) | (~v114(constB163))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21360,plain,
% 7.06/5.29 (v114(constB163) | v125(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21359, 21358])).
% 7.06/5.29 tff(21361,plain,
% 7.06/5.29 ((~(v113(constB163) <=> (v114(constB163) | v125(constB163)))) | v113(constB163) | (~(v114(constB163) | v125(constB163)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21362,plain,
% 7.06/5.29 (v113(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21361, 21360, 21346])).
% 7.06/5.29 tff(21363,plain,
% 7.06/5.29 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB163)) <=> v111(constB163))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21364,plain,
% 7.06/5.29 ((~v126(constB163)) <=> v111(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21363, 4761])).
% 7.06/5.29 tff(21365,plain,
% 7.06/5.29 ((~((~v126(constB163)) <=> v111(constB163))) | v126(constB163) | v111(constB163)),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21366,plain,
% 7.06/5.29 ((~((~v126(constB163)) <=> v111(constB163))) | v126(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21365, 17479])).
% 7.06/5.29 tff(21367,plain,
% 7.06/5.29 (v126(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21366, 21364])).
% 7.06/5.29 tff(21368,plain,
% 7.06/5.29 ((~((~v113(constB163)) | (~v126(constB163)))) | (~v113(constB163)) | (~v126(constB163))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21369,plain,
% 7.06/5.29 ((~((~v113(constB163)) | (~v126(constB163)))) | (~v113(constB163))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21368, 21367])).
% 7.06/5.29 tff(21370,plain,
% 7.06/5.29 (~((~v113(constB163)) | (~v126(constB163)))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21369, 21362])).
% 7.06/5.29 tff(21371,plain,
% 7.06/5.29 ((~(v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163)))))) | v112(constB163) | ((~v113(constB163)) | (~v126(constB163)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21372,plain,
% 7.06/5.29 (v112(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21371, 21370, 21344])).
% 7.06/5.29 tff(21373,plain,
% 7.06/5.29 ((v111(constB163) | v112(constB163)) | (~v112(constB163))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21374,plain,
% 7.06/5.29 (v111(constB163) | v112(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21373, 21372])).
% 7.06/5.29 tff(21375,plain,
% 7.06/5.29 ((~(v108(constB163) <=> (v111(constB163) | v112(constB163)))) | v108(constB163) | (~(v111(constB163) | v112(constB163)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21376,plain,
% 7.06/5.29 (v108(constB163)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21375, 21374, 21342])).
% 7.06/5.29 tff(21377,plain,
% 7.06/5.29 ((~(v110(constB164) <=> v108(constB163))) | v110(constB164) | (~v108(constB163))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21378,plain,
% 7.06/5.29 (v110(constB164)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21377, 21376, 21340])).
% 7.06/5.29 tff(21379,plain,
% 7.06/5.29 ((~((~v101(constB164)) | (~v110(constB164)))) | (~v101(constB164)) | (~v110(constB164))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21380,plain,
% 7.06/5.29 (~((~v101(constB164)) | (~v110(constB164)))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21379, 21378, 21336])).
% 7.06/5.29 tff(21381,plain,
% 7.06/5.29 ((~(v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164)))))) | v100(constB164) | ((~v101(constB164)) | (~v110(constB164)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21382,plain,
% 7.06/5.29 (v100(constB164)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21381, 21380, 21308])).
% 7.06/5.29 tff(21383,plain,
% 7.06/5.29 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB164)) | (~(((~v90(constB164, 2)) <=> v129(constB164, 2)) | ((~v90(constB164, 1)) <=> v129(constB164, 1)) | ((~v90(constB164, 0)) <=> v129(constB164, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB164)) | (~(((~v90(constB164, 2)) <=> v129(constB164, 2)) | ((~v90(constB164, 1)) <=> v129(constB164, 1)) | ((~v90(constB164, 0)) <=> v129(constB164, 0)))))),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21384,plain,
% 7.06/5.29 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB164)) | (~(((~v90(constB164, 2)) <=> v129(constB164, 2)) | ((~v90(constB164, 1)) <=> v129(constB164, 1)) | ((~v90(constB164, 0)) <=> v129(constB164, 0)))))),
% 7.06/5.29 inference(quant_inst,[status(thm)],[])).
% 7.06/5.29 tff(21385,plain,
% 7.06/5.29 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB164)) | (~(((~v90(constB164, 2)) <=> v129(constB164, 2)) | ((~v90(constB164, 1)) <=> v129(constB164, 1)) | ((~v90(constB164, 0)) <=> v129(constB164, 0))))),
% 7.06/5.29 inference(modus_ponens,[status(thm)],[21384, 21383])).
% 7.06/5.29 tff(21386,plain,
% 7.06/5.29 ((~v100(constB164)) | (~(((~v90(constB164, 2)) <=> v129(constB164, 2)) | ((~v90(constB164, 1)) <=> v129(constB164, 1)) | ((~v90(constB164, 0)) <=> v129(constB164, 0))))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21385, 4794])).
% 7.06/5.29 tff(21387,plain,
% 7.06/5.29 (~(((~v90(constB164, 2)) <=> v129(constB164, 2)) | ((~v90(constB164, 1)) <=> v129(constB164, 1)) | ((~v90(constB164, 0)) <=> v129(constB164, 0)))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21386, 21382])).
% 7.06/5.29 tff(21388,plain,
% 7.06/5.29 ((((~v90(constB164, 2)) <=> v129(constB164, 2)) | ((~v90(constB164, 1)) <=> v129(constB164, 1)) | ((~v90(constB164, 0)) <=> v129(constB164, 0))) | (~((~v90(constB164, 2)) <=> v129(constB164, 2)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21389,plain,
% 7.06/5.29 (~((~v90(constB164, 2)) <=> v129(constB164, 2))),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21388, 21387])).
% 7.06/5.29 tff(21390,plain,
% 7.06/5.29 (((~v90(constB164, 2)) <=> v129(constB164, 2)) | v90(constB164, 2) | (~v129(constB164, 2))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21391,plain,
% 7.06/5.29 (v90(constB164, 2)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21390, 21389, 21304])).
% 7.06/5.29 tff(21392,plain,
% 7.06/5.29 (((~v90(constB165, 2)) <=> v90(constB164, 2)) | v90(constB165, 2) | (~v90(constB164, 2))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21393,plain,
% 7.06/5.29 (v90(constB165, 2)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21392, 21391, 17463])).
% 7.06/5.29 tff(21394,plain,
% 7.06/5.29 ((v90(constB165, 0) | v90(constB165, 1) | v90(constB165, 2)) | (~v90(constB165, 2))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21395,plain,
% 7.06/5.29 (v90(constB165, 0) | v90(constB165, 1) | v90(constB165, 2)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21394, 21393])).
% 7.06/5.29 tff(21396,plain,
% 7.06/5.29 ((~(v119(constB165) <=> (~(v90(constB165, 0) | v90(constB165, 1) | v90(constB165, 2))))) | (~v119(constB165)) | (~(v90(constB165, 0) | v90(constB165, 1) | v90(constB165, 2)))),
% 7.06/5.29 inference(tautology,[status(thm)],[])).
% 7.06/5.29 tff(21397,plain,
% 7.06/5.29 (~v119(constB165)),
% 7.06/5.29 inference(unit_resolution,[status(thm)],[21396, 21395, 17427])).
% 7.06/5.29 tff(21398,plain,
% 7.06/5.29 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB165) <=> (~(v90(constB165, 1) | (~v90(constB165, 2)) | (~v90(constB165, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB165) <=> (~(v90(constB165, 1) | (~v90(constB165, 2)) | (~v90(constB165, 0))))))),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21399,plain,
% 7.06/5.29 ((v124(constB165) <=> (~(v90(constB165, 1) | (~v90(constB165, 0)) | (~v90(constB165, 2))))) <=> (v124(constB165) <=> (~(v90(constB165, 1) | (~v90(constB165, 2)) | (~v90(constB165, 0)))))),
% 7.06/5.29 inference(rewrite,[status(thm)],[])).
% 7.06/5.29 tff(21400,plain,
% 7.06/5.29 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB165) <=> (~(v90(constB165, 1) | (~v90(constB165, 0)) | (~v90(constB165, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB165) <=> (~(v90(constB165, 1) | (~v90(constB165, 2)) | (~v90(constB165, 0))))))),
% 7.06/5.29 inference(monotonicity,[status(thm)],[21399])).
% 7.06/5.29 tff(21401,plain,
% 7.06/5.29 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB165) <=> (~(v90(constB165, 1) | (~v90(constB165, 0)) | (~v90(constB165, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB165) <=> (~(v90(constB165, 1) | (~v90(constB165, 2)) | (~v90(constB165, 0))))))),
% 7.06/5.30 inference(transitivity,[status(thm)],[21400, 21398])).
% 7.06/5.30 tff(21402,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB165) <=> (~(v90(constB165, 1) | (~v90(constB165, 0)) | (~v90(constB165, 2)))))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21403,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB165) <=> (~(v90(constB165, 1) | (~v90(constB165, 2)) | (~v90(constB165, 0)))))),
% 7.06/5.30 inference(modus_ponens,[status(thm)],[21402, 21401])).
% 7.06/5.30 tff(21404,plain,
% 7.06/5.30 (v124(constB165) <=> (~(v90(constB165, 1) | (~v90(constB165, 2)) | (~v90(constB165, 0))))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21403, 4978])).
% 7.06/5.30 tff(21405,plain,
% 7.06/5.30 ((((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 0)) <=> v90(constB164, 0))) | (~((~v90(constB165, 1)) <=> v90(constB164, 1)))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21406,plain,
% 7.06/5.30 (~((~v90(constB165, 1)) <=> v90(constB164, 1))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21405, 17461])).
% 7.06/5.30 tff(21407,plain,
% 7.06/5.30 ((((~v129(constB164, 2)) <=> v127(constB163, 2)) | ((~v129(constB164, 1)) <=> v127(constB163, 1)) | ((~v129(constB164, 0)) <=> v127(constB163, 0))) | (~((~v129(constB164, 1)) <=> v127(constB163, 1)))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21408,plain,
% 7.06/5.30 (~((~v129(constB164, 1)) <=> v127(constB163, 1))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21407, 17470])).
% 7.06/5.30 tff(21409,plain,
% 7.06/5.30 ((((~v127(constB163, 2)) <=> v130(constB163, 2)) | ((~v127(constB163, 1)) <=> v130(constB163, 1)) | ((~v127(constB163, 0)) <=> v130(constB163, 0))) | (~((~v127(constB163, 1)) <=> v130(constB163, 1)))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21410,plain,
% 7.06/5.30 (~((~v127(constB163, 1)) <=> v130(constB163, 1))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21409, 17484])).
% 7.06/5.30 tff(21411,plain,
% 7.06/5.30 ((v130(constB163, 0) | (~v130(constB163, 2)) | (~v130(constB163, 1))) | v130(constB163, 1)),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21412,plain,
% 7.06/5.30 (v130(constB163, 1)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21411, 21298])).
% 7.06/5.30 tff(21413,plain,
% 7.06/5.30 (((~v127(constB163, 1)) <=> v130(constB163, 1)) | v127(constB163, 1) | (~v130(constB163, 1))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21414,plain,
% 7.06/5.30 (v127(constB163, 1)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21413, 21412, 21410])).
% 7.06/5.30 tff(21415,plain,
% 7.06/5.30 (((~v129(constB164, 1)) <=> v127(constB163, 1)) | v129(constB164, 1) | (~v127(constB163, 1))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21416,plain,
% 7.06/5.30 (v129(constB164, 1)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21415, 21414, 21408])).
% 7.06/5.30 tff(21417,plain,
% 7.06/5.30 ((((~v90(constB164, 2)) <=> v129(constB164, 2)) | ((~v90(constB164, 1)) <=> v129(constB164, 1)) | ((~v90(constB164, 0)) <=> v129(constB164, 0))) | (~((~v90(constB164, 1)) <=> v129(constB164, 1)))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21418,plain,
% 7.06/5.30 (~((~v90(constB164, 1)) <=> v129(constB164, 1))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21417, 21387])).
% 7.06/5.30 tff(21419,plain,
% 7.06/5.30 (((~v90(constB164, 1)) <=> v129(constB164, 1)) | v90(constB164, 1) | (~v129(constB164, 1))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21420,plain,
% 7.06/5.30 (v90(constB164, 1)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21419, 21418, 21416])).
% 7.06/5.30 tff(21421,plain,
% 7.06/5.30 (((~v90(constB165, 1)) <=> v90(constB164, 1)) | v90(constB165, 1) | (~v90(constB164, 1))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21422,plain,
% 7.06/5.30 (v90(constB165, 1)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21421, 21420, 21406])).
% 7.06/5.30 tff(21423,plain,
% 7.06/5.30 ((v90(constB165, 1) | (~v90(constB165, 2)) | (~v90(constB165, 0))) | (~v90(constB165, 1))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21424,plain,
% 7.06/5.30 (v90(constB165, 1) | (~v90(constB165, 2)) | (~v90(constB165, 0))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21423, 21422])).
% 7.06/5.30 tff(21425,plain,
% 7.06/5.30 ((~(v124(constB165) <=> (~(v90(constB165, 1) | (~v90(constB165, 2)) | (~v90(constB165, 0)))))) | (~v124(constB165)) | (~(v90(constB165, 1) | (~v90(constB165, 2)) | (~v90(constB165, 0))))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21426,plain,
% 7.06/5.30 (~v124(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21425, 21424, 21404])).
% 7.06/5.30 tff(21427,plain,
% 7.06/5.30 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB165) <=> (~(v90(constB165, 1) | v90(constB165, 0) | (~v90(constB165, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB165) <=> (~(v90(constB165, 1) | v90(constB165, 0) | (~v90(constB165, 2))))))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21428,plain,
% 7.06/5.30 ((v123(constB165) <=> (~(v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2))))) <=> (v123(constB165) <=> (~(v90(constB165, 1) | v90(constB165, 0) | (~v90(constB165, 2)))))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21429,plain,
% 7.06/5.30 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB165) <=> (~(v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB165) <=> (~(v90(constB165, 1) | v90(constB165, 0) | (~v90(constB165, 2))))))),
% 7.06/5.30 inference(monotonicity,[status(thm)],[21428])).
% 7.06/5.30 tff(21430,plain,
% 7.06/5.30 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB165) <=> (~(v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB165) <=> (~(v90(constB165, 1) | v90(constB165, 0) | (~v90(constB165, 2))))))),
% 7.06/5.30 inference(transitivity,[status(thm)],[21429, 21427])).
% 7.06/5.30 tff(21431,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB165) <=> (~(v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)))))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21432,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB165) <=> (~(v90(constB165, 1) | v90(constB165, 0) | (~v90(constB165, 2)))))),
% 7.06/5.30 inference(modus_ponens,[status(thm)],[21431, 21430])).
% 7.06/5.30 tff(21433,plain,
% 7.06/5.30 (v123(constB165) <=> (~(v90(constB165, 1) | v90(constB165, 0) | (~v90(constB165, 2))))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21432, 565])).
% 7.06/5.30 tff(21434,plain,
% 7.06/5.30 ((v90(constB165, 1) | v90(constB165, 0) | (~v90(constB165, 2))) | (~v90(constB165, 1))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21435,plain,
% 7.06/5.30 (v90(constB165, 1) | v90(constB165, 0) | (~v90(constB165, 2))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21434, 21422])).
% 7.06/5.30 tff(21436,plain,
% 7.06/5.30 ((~(v123(constB165) <=> (~(v90(constB165, 1) | v90(constB165, 0) | (~v90(constB165, 2)))))) | (~v123(constB165)) | (~(v90(constB165, 1) | v90(constB165, 0) | (~v90(constB165, 2))))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21437,plain,
% 7.06/5.30 (~v123(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21436, 21435, 21433])).
% 7.06/5.30 tff(21438,plain,
% 7.06/5.30 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB165) <=> (~(v90(constB165, 2) | (~v90(constB165, 1)) | (~v90(constB165, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB165) <=> (~(v90(constB165, 2) | (~v90(constB165, 1)) | (~v90(constB165, 0))))))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21439,plain,
% 7.06/5.30 ((v122(constB165) <=> (~(v90(constB165, 2) | (~v90(constB165, 0)) | (~v90(constB165, 1))))) <=> (v122(constB165) <=> (~(v90(constB165, 2) | (~v90(constB165, 1)) | (~v90(constB165, 0)))))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21440,plain,
% 7.06/5.30 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB165) <=> (~(v90(constB165, 2) | (~v90(constB165, 0)) | (~v90(constB165, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB165) <=> (~(v90(constB165, 2) | (~v90(constB165, 1)) | (~v90(constB165, 0))))))),
% 7.06/5.30 inference(monotonicity,[status(thm)],[21439])).
% 7.06/5.30 tff(21441,plain,
% 7.06/5.30 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB165) <=> (~(v90(constB165, 2) | (~v90(constB165, 0)) | (~v90(constB165, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB165) <=> (~(v90(constB165, 2) | (~v90(constB165, 1)) | (~v90(constB165, 0))))))),
% 7.06/5.30 inference(transitivity,[status(thm)],[21440, 21438])).
% 7.06/5.30 tff(21442,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB165) <=> (~(v90(constB165, 2) | (~v90(constB165, 0)) | (~v90(constB165, 1)))))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21443,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB165) <=> (~(v90(constB165, 2) | (~v90(constB165, 1)) | (~v90(constB165, 0)))))),
% 7.06/5.30 inference(modus_ponens,[status(thm)],[21442, 21441])).
% 7.06/5.30 tff(21444,plain,
% 7.06/5.30 (v122(constB165) <=> (~(v90(constB165, 2) | (~v90(constB165, 1)) | (~v90(constB165, 0))))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21443, 644])).
% 7.06/5.30 tff(21445,plain,
% 7.06/5.30 ((v90(constB165, 2) | (~v90(constB165, 1)) | (~v90(constB165, 0))) | (~v90(constB165, 2))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21446,plain,
% 7.06/5.30 (v90(constB165, 2) | (~v90(constB165, 1)) | (~v90(constB165, 0))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21445, 21393])).
% 7.06/5.30 tff(21447,plain,
% 7.06/5.30 ((~(v122(constB165) <=> (~(v90(constB165, 2) | (~v90(constB165, 1)) | (~v90(constB165, 0)))))) | (~v122(constB165)) | (~(v90(constB165, 2) | (~v90(constB165, 1)) | (~v90(constB165, 0))))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21448,plain,
% 7.06/5.30 (~v122(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21447, 21446, 21444])).
% 7.06/5.30 tff(21449,plain,
% 7.06/5.30 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB165) <=> (~(v90(constB165, 2) | v90(constB165, 0) | (~v90(constB165, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB165) <=> (~(v90(constB165, 2) | v90(constB165, 0) | (~v90(constB165, 1))))))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21450,plain,
% 7.06/5.30 ((v121(constB165) <=> (~(v90(constB165, 0) | v90(constB165, 2) | (~v90(constB165, 1))))) <=> (v121(constB165) <=> (~(v90(constB165, 2) | v90(constB165, 0) | (~v90(constB165, 1)))))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21451,plain,
% 7.06/5.30 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB165) <=> (~(v90(constB165, 0) | v90(constB165, 2) | (~v90(constB165, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB165) <=> (~(v90(constB165, 2) | v90(constB165, 0) | (~v90(constB165, 1))))))),
% 7.06/5.30 inference(monotonicity,[status(thm)],[21450])).
% 7.06/5.30 tff(21452,plain,
% 7.06/5.30 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB165) <=> (~(v90(constB165, 0) | v90(constB165, 2) | (~v90(constB165, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB165) <=> (~(v90(constB165, 2) | v90(constB165, 0) | (~v90(constB165, 1))))))),
% 7.06/5.30 inference(transitivity,[status(thm)],[21451, 21449])).
% 7.06/5.30 tff(21453,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB165) <=> (~(v90(constB165, 0) | v90(constB165, 2) | (~v90(constB165, 1)))))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21454,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB165) <=> (~(v90(constB165, 2) | v90(constB165, 0) | (~v90(constB165, 1)))))),
% 7.06/5.30 inference(modus_ponens,[status(thm)],[21453, 21452])).
% 7.06/5.30 tff(21455,plain,
% 7.06/5.30 (v121(constB165) <=> (~(v90(constB165, 2) | v90(constB165, 0) | (~v90(constB165, 1))))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21454, 723])).
% 7.06/5.30 tff(21456,plain,
% 7.06/5.30 ((v90(constB165, 2) | v90(constB165, 0) | (~v90(constB165, 1))) | (~v90(constB165, 2))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21457,plain,
% 7.06/5.30 (v90(constB165, 2) | v90(constB165, 0) | (~v90(constB165, 1))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21456, 21393])).
% 7.06/5.30 tff(21458,plain,
% 7.06/5.30 ((~(v121(constB165) <=> (~(v90(constB165, 2) | v90(constB165, 0) | (~v90(constB165, 1)))))) | (~v121(constB165)) | (~(v90(constB165, 2) | v90(constB165, 0) | (~v90(constB165, 1))))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21459,plain,
% 7.06/5.30 (~v121(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21458, 21457, 21455])).
% 7.06/5.30 tff(21460,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB165) <=> (~(v90(constB165, 1) | v90(constB165, 2) | (~v90(constB165, 0)))))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21461,plain,
% 7.06/5.30 (v120(constB165) <=> (~(v90(constB165, 1) | v90(constB165, 2) | (~v90(constB165, 0))))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21460, 417])).
% 7.06/5.30 tff(21462,plain,
% 7.06/5.30 ((v90(constB165, 1) | v90(constB165, 2) | (~v90(constB165, 0))) | (~v90(constB165, 2))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21463,plain,
% 7.06/5.30 (v90(constB165, 1) | v90(constB165, 2) | (~v90(constB165, 0))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21462, 21393])).
% 7.06/5.30 tff(21464,plain,
% 7.06/5.30 ((~(v120(constB165) <=> (~(v90(constB165, 1) | v90(constB165, 2) | (~v90(constB165, 0)))))) | (~v120(constB165)) | (~(v90(constB165, 1) | v90(constB165, 2) | (~v90(constB165, 0))))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21465,plain,
% 7.06/5.30 (~v120(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21464, 21463, 21461])).
% 7.06/5.30 tff(21466,plain,
% 7.06/5.30 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0)))))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21467,plain,
% 7.06/5.30 ((v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~(v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0))))) <=> (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0)))))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21468,plain,
% 7.06/5.30 ((~(v130(constB165, 1) | v130(constB165, 2) | (~v130(constB165, 0)))) <=> (~(v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0))))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21469,plain,
% 7.06/5.30 ((v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~(v130(constB165, 1) | v130(constB165, 2) | (~v130(constB165, 0))))) <=> (v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~(v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0)))))),
% 7.06/5.30 inference(monotonicity,[status(thm)],[21468])).
% 7.06/5.30 tff(21470,plain,
% 7.06/5.30 ((v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~(v130(constB165, 1) | v130(constB165, 2) | (~v130(constB165, 0))))) <=> (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0)))))),
% 7.06/5.30 inference(transitivity,[status(thm)],[21469, 21467])).
% 7.06/5.30 tff(21471,plain,
% 7.06/5.30 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~(v130(constB165, 1) | v130(constB165, 2) | (~v130(constB165, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0))))))),
% 7.06/5.30 inference(monotonicity,[status(thm)],[21470])).
% 7.06/5.30 tff(21472,plain,
% 7.06/5.30 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~(v130(constB165, 1) | v130(constB165, 2) | (~v130(constB165, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0)))))),
% 7.06/5.30 inference(transitivity,[status(thm)],[21471, 21466])).
% 7.06/5.30 tff(21473,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~(v130(constB165, 1) | v130(constB165, 2) | (~v130(constB165, 0)))))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21474,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0))))),
% 7.06/5.30 inference(modus_ponens,[status(thm)],[21473, 21472])).
% 7.06/5.30 tff(21475,plain,
% 7.06/5.30 (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0))))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21474, 5059])).
% 7.06/5.30 tff(21476,plain,
% 7.06/5.30 (~(v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0)))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21475, 21465, 21459, 21448, 21437, 21426, 21397])).
% 7.06/5.30 tff(21477,plain,
% 7.06/5.30 ((v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0))) | (~v130(constB165, 2))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21478,plain,
% 7.06/5.30 (~v130(constB165, 2)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21477, 21476])).
% 7.06/5.30 tff(21479,plain,
% 7.06/5.30 (((~v127(constB165, 2)) <=> v130(constB165, 2)) | (~v127(constB165, 2)) | v130(constB165, 2)),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21480,plain,
% 7.06/5.30 (~v127(constB165, 2)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21479, 21478, 17425])).
% 7.06/5.30 tff(21481,plain,
% 7.06/5.30 (((~v129(constB166, 2)) <=> v127(constB165, 2)) | (~v129(constB166, 2)) | v127(constB165, 2)),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21482,plain,
% 7.06/5.30 (~v129(constB166, 2)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21481, 21480, 17411])).
% 7.06/5.30 tff(21483,plain,
% 7.06/5.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21484,plain,
% 7.06/5.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21485,plain,
% 7.06/5.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166)))))),
% 7.06/5.30 inference(modus_ponens,[status(thm)],[21484, 21483])).
% 7.06/5.30 tff(21486,plain,
% 7.06/5.30 (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21485, 17405, 273])).
% 7.06/5.30 tff(21487,plain,
% 7.06/5.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21488,plain,
% 7.06/5.30 (((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166)))))) <=> ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21489,plain,
% 7.06/5.30 (((~![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) <=> (~((~v1(constB166)) | (~v102(constB166)))))))),
% 7.06/5.30 inference(monotonicity,[status(thm)],[21488])).
% 7.06/5.30 tff(21490,plain,
% 7.06/5.30 (((~![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) <=> (~((~v1(constB166)) | (~v102(constB166))))))),
% 7.06/5.30 inference(transitivity,[status(thm)],[21489, 21487])).
% 7.06/5.30 tff(21491,plain,
% 7.06/5.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166))))))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21492,plain,
% 7.06/5.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166)))))),
% 7.06/5.30 inference(modus_ponens,[status(thm)],[21491, 21490])).
% 7.06/5.30 tff(21493,plain,
% 7.06/5.30 (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21492, 17405, 293])).
% 7.06/5.30 tff(21494,plain,
% 7.06/5.30 (((~![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)))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21495,plain,
% 7.06/5.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166)))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21496,plain,
% 7.06/5.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166))),
% 7.06/5.30 inference(modus_ponens,[status(thm)],[21495, 21494])).
% 7.06/5.30 tff(21497,plain,
% 7.06/5.30 ((~v102(constB166)) <=> v104(constB166)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21496, 17405, 4609])).
% 7.06/5.30 tff(21498,plain,
% 7.06/5.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165)))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21499,plain,
% 7.06/5.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165)))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21500,plain,
% 7.06/5.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165))),
% 7.06/5.30 inference(modus_ponens,[status(thm)],[21499, 21498])).
% 7.06/5.30 tff(21501,plain,
% 7.06/5.30 (v104(constB166) <=> v1(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21500, 17405, 4623])).
% 7.06/5.30 tff(21502,plain,
% 7.06/5.30 ((~(v104(constB166) <=> v1(constB165))) | (~v104(constB166)) | v1(constB165)),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21503,plain,
% 7.06/5.30 ((~(v104(constB166) <=> v1(constB165))) | (~v104(constB166))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21502, 17444])).
% 7.06/5.30 tff(21504,plain,
% 7.06/5.30 (~v104(constB166)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21503, 21501])).
% 7.06/5.30 tff(21505,plain,
% 7.06/5.30 ((~((~v102(constB166)) <=> v104(constB166))) | v102(constB166) | v104(constB166)),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21506,plain,
% 7.06/5.30 (v102(constB166)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21505, 21504, 21497])).
% 7.06/5.30 tff(21507,plain,
% 7.06/5.30 (v1(constB166) <=> v1(constB166)),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21508,axiom,(v1(constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_166')).
% 7.06/5.30 tff(21509,plain,
% 7.06/5.30 (v1(constB166)),
% 7.06/5.30 inference(modus_ponens,[status(thm)],[21508, 21507])).
% 7.06/5.30 tff(21510,plain,
% 7.06/5.30 ((~((~v1(constB166)) | (~v102(constB166)))) | (~v1(constB166)) | (~v102(constB166))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21511,plain,
% 7.06/5.30 ((~((~v1(constB166)) | (~v102(constB166)))) | (~v102(constB166))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21510, 21509])).
% 7.06/5.30 tff(21512,plain,
% 7.06/5.30 (~((~v1(constB166)) | (~v102(constB166)))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21511, 21506])).
% 7.06/5.30 tff(21513,plain,
% 7.06/5.30 ((~(v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166)))))) | v101(constB166) | ((~v1(constB166)) | (~v102(constB166)))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21514,plain,
% 7.06/5.30 (v101(constB166)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21513, 21512, 21493])).
% 7.06/5.30 tff(21515,plain,
% 7.06/5.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165)))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21516,plain,
% 7.06/5.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165)))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21517,plain,
% 7.06/5.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165))),
% 7.06/5.30 inference(modus_ponens,[status(thm)],[21516, 21515])).
% 7.06/5.30 tff(21518,plain,
% 7.06/5.30 (v110(constB166) <=> v108(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21517, 17405, 4650])).
% 7.06/5.30 tff(21519,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB165) <=> (v111(constB165) | v112(constB165)))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21520,plain,
% 7.06/5.30 (v108(constB165) <=> (v111(constB165) | v112(constB165))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21519, 4661])).
% 7.06/5.30 tff(21521,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165)))))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21522,plain,
% 7.06/5.30 (v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165))))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21521, 4673])).
% 7.06/5.30 tff(21523,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB165) <=> (v114(constB165) | v125(constB165)))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21524,plain,
% 7.06/5.30 (v113(constB165) <=> (v114(constB165) | v125(constB165))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21523, 4682])).
% 7.06/5.30 tff(21525,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB165) <=> (~(v90(constB165, 0) | (~v90(constB165, 1)) | (~v90(constB165, 2)))))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21526,plain,
% 7.06/5.30 (v125(constB165) <=> (~(v90(constB165, 0) | (~v90(constB165, 1)) | (~v90(constB165, 2))))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21525, 5131])).
% 7.06/5.30 tff(21527,plain,
% 7.06/5.30 ((((~v90(constB165, 1)) <=> v90(constB164, 1)) | ((~v90(constB165, 2)) <=> v90(constB164, 2)) | ((~v90(constB165, 0)) <=> v90(constB164, 0))) | (~((~v90(constB165, 0)) <=> v90(constB164, 0)))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21528,plain,
% 7.06/5.30 (~((~v90(constB165, 0)) <=> v90(constB164, 0))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21527, 17461])).
% 7.06/5.30 tff(21529,plain,
% 7.06/5.30 ((((~v129(constB164, 2)) <=> v127(constB163, 2)) | ((~v129(constB164, 1)) <=> v127(constB163, 1)) | ((~v129(constB164, 0)) <=> v127(constB163, 0))) | (~((~v129(constB164, 0)) <=> v127(constB163, 0)))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21530,plain,
% 7.06/5.30 (~((~v129(constB164, 0)) <=> v127(constB163, 0))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21529, 17470])).
% 7.06/5.30 tff(21531,plain,
% 7.06/5.30 ((((~v127(constB163, 2)) <=> v130(constB163, 2)) | ((~v127(constB163, 1)) <=> v130(constB163, 1)) | ((~v127(constB163, 0)) <=> v130(constB163, 0))) | (~((~v127(constB163, 0)) <=> v130(constB163, 0)))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21532,plain,
% 7.06/5.30 (~((~v127(constB163, 0)) <=> v130(constB163, 0))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21531, 17484])).
% 7.06/5.30 tff(21533,plain,
% 7.06/5.30 ((v130(constB163, 0) | (~v130(constB163, 2)) | (~v130(constB163, 1))) | (~v130(constB163, 0))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21534,plain,
% 7.06/5.30 (~v130(constB163, 0)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21533, 21298])).
% 7.06/5.30 tff(21535,plain,
% 7.06/5.30 (((~v127(constB163, 0)) <=> v130(constB163, 0)) | (~v127(constB163, 0)) | v130(constB163, 0)),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21536,plain,
% 7.06/5.30 (~v127(constB163, 0)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21535, 21534, 21532])).
% 7.06/5.30 tff(21537,plain,
% 7.06/5.30 (((~v129(constB164, 0)) <=> v127(constB163, 0)) | (~v129(constB164, 0)) | v127(constB163, 0)),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21538,plain,
% 7.06/5.30 (~v129(constB164, 0)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21537, 21536, 21530])).
% 7.06/5.30 tff(21539,plain,
% 7.06/5.30 ((((~v90(constB164, 2)) <=> v129(constB164, 2)) | ((~v90(constB164, 1)) <=> v129(constB164, 1)) | ((~v90(constB164, 0)) <=> v129(constB164, 0))) | (~((~v90(constB164, 0)) <=> v129(constB164, 0)))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21540,plain,
% 7.06/5.30 (~((~v90(constB164, 0)) <=> v129(constB164, 0))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21539, 21387])).
% 7.06/5.30 tff(21541,plain,
% 7.06/5.30 (((~v90(constB164, 0)) <=> v129(constB164, 0)) | (~v90(constB164, 0)) | v129(constB164, 0)),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21542,plain,
% 7.06/5.30 (~v90(constB164, 0)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21541, 21540, 21538])).
% 7.06/5.30 tff(21543,plain,
% 7.06/5.30 (((~v90(constB165, 0)) <=> v90(constB164, 0)) | (~v90(constB165, 0)) | v90(constB164, 0)),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21544,plain,
% 7.06/5.30 (~v90(constB165, 0)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21543, 21542, 21528])).
% 7.06/5.30 tff(21545,plain,
% 7.06/5.30 ((~(v90(constB165, 0) | (~v90(constB165, 1)) | (~v90(constB165, 2)))) | v90(constB165, 0) | (~v90(constB165, 1)) | (~v90(constB165, 2))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21546,plain,
% 7.06/5.30 (~(v90(constB165, 0) | (~v90(constB165, 1)) | (~v90(constB165, 2)))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21545, 21422, 21544, 21393])).
% 7.06/5.30 tff(21547,plain,
% 7.06/5.30 ((~(v125(constB165) <=> (~(v90(constB165, 0) | (~v90(constB165, 1)) | (~v90(constB165, 2)))))) | v125(constB165) | (v90(constB165, 0) | (~v90(constB165, 1)) | (~v90(constB165, 2)))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21548,plain,
% 7.06/5.30 (v125(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21547, 21546, 21526])).
% 7.06/5.30 tff(21549,plain,
% 7.06/5.30 ((v114(constB165) | v125(constB165)) | (~v125(constB165))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21550,plain,
% 7.06/5.30 (v114(constB165) | v125(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21549, 21548])).
% 7.06/5.30 tff(21551,plain,
% 7.06/5.30 ((~(v113(constB165) <=> (v114(constB165) | v125(constB165)))) | v113(constB165) | (~(v114(constB165) | v125(constB165)))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21552,plain,
% 7.06/5.30 (v113(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21551, 21550, 21524])).
% 7.06/5.30 tff(21553,plain,
% 7.06/5.30 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB165)) <=> v111(constB165))),
% 7.06/5.30 inference(quant_inst,[status(thm)],[])).
% 7.06/5.30 tff(21554,plain,
% 7.06/5.30 ((~v126(constB165)) <=> v111(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21553, 4761])).
% 7.06/5.30 tff(21555,plain,
% 7.06/5.30 ((~((~v126(constB165)) <=> v111(constB165))) | v126(constB165) | v111(constB165)),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21556,plain,
% 7.06/5.30 ((~((~v126(constB165)) <=> v111(constB165))) | v126(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21555, 17418])).
% 7.06/5.30 tff(21557,plain,
% 7.06/5.30 (v126(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21556, 21554])).
% 7.06/5.30 tff(21558,plain,
% 7.06/5.30 ((~((~v113(constB165)) | (~v126(constB165)))) | (~v113(constB165)) | (~v126(constB165))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21559,plain,
% 7.06/5.30 ((~((~v113(constB165)) | (~v126(constB165)))) | (~v113(constB165))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21558, 21557])).
% 7.06/5.30 tff(21560,plain,
% 7.06/5.30 (~((~v113(constB165)) | (~v126(constB165)))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21559, 21552])).
% 7.06/5.30 tff(21561,plain,
% 7.06/5.30 ((~(v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165)))))) | v112(constB165) | ((~v113(constB165)) | (~v126(constB165)))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21562,plain,
% 7.06/5.30 (v112(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21561, 21560, 21522])).
% 7.06/5.30 tff(21563,plain,
% 7.06/5.30 ((v111(constB165) | v112(constB165)) | (~v112(constB165))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21564,plain,
% 7.06/5.30 (v111(constB165) | v112(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21563, 21562])).
% 7.06/5.30 tff(21565,plain,
% 7.06/5.30 ((~(v108(constB165) <=> (v111(constB165) | v112(constB165)))) | v108(constB165) | (~(v111(constB165) | v112(constB165)))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21566,plain,
% 7.06/5.30 (v108(constB165)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21565, 21564, 21520])).
% 7.06/5.30 tff(21567,plain,
% 7.06/5.30 ((~(v110(constB166) <=> v108(constB165))) | v110(constB166) | (~v108(constB165))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21568,plain,
% 7.06/5.30 (v110(constB166)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21567, 21566, 21518])).
% 7.06/5.30 tff(21569,plain,
% 7.06/5.30 ((~((~v101(constB166)) | (~v110(constB166)))) | (~v101(constB166)) | (~v110(constB166))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21570,plain,
% 7.06/5.30 (~((~v101(constB166)) | (~v110(constB166)))),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21569, 21568, 21514])).
% 7.06/5.30 tff(21571,plain,
% 7.06/5.30 ((~(v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166)))))) | v100(constB166) | ((~v101(constB166)) | (~v110(constB166)))),
% 7.06/5.30 inference(tautology,[status(thm)],[])).
% 7.06/5.30 tff(21572,plain,
% 7.06/5.30 (v100(constB166)),
% 7.06/5.30 inference(unit_resolution,[status(thm)],[21571, 21570, 21486])).
% 7.06/5.30 tff(21573,plain,
% 7.06/5.30 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB166)) | (~(((~v90(constB166, 0)) <=> v129(constB166, 0)) | ((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB166)) | (~(((~v90(constB166, 0)) <=> v129(constB166, 0)) | ((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1)))))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21574,plain,
% 7.06/5.30 (((~v100(constB166)) | (~(((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1)) | ((~v90(constB166, 0)) <=> v129(constB166, 0))))) <=> ((~v100(constB166)) | (~(((~v90(constB166, 0)) <=> v129(constB166, 0)) | ((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1)))))),
% 7.06/5.30 inference(rewrite,[status(thm)],[])).
% 7.06/5.30 tff(21575,plain,
% 7.06/5.30 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB166)) | (~(((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1)) | ((~v90(constB166, 0)) <=> v129(constB166, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB166)) | (~(((~v90(constB166, 0)) <=> v129(constB166, 0)) | ((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1))))))),
% 7.06/5.31 inference(monotonicity,[status(thm)],[21574])).
% 7.06/5.31 tff(21576,plain,
% 7.06/5.31 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB166)) | (~(((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1)) | ((~v90(constB166, 0)) <=> v129(constB166, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB166)) | (~(((~v90(constB166, 0)) <=> v129(constB166, 0)) | ((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1)))))),
% 7.06/5.31 inference(transitivity,[status(thm)],[21575, 21573])).
% 7.06/5.31 tff(21577,plain,
% 7.06/5.31 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB166)) | (~(((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1)) | ((~v90(constB166, 0)) <=> v129(constB166, 0)))))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21578,plain,
% 7.06/5.31 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB166)) | (~(((~v90(constB166, 0)) <=> v129(constB166, 0)) | ((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1))))),
% 7.06/5.31 inference(modus_ponens,[status(thm)],[21577, 21576])).
% 7.06/5.31 tff(21579,plain,
% 7.06/5.31 ((~v100(constB166)) | (~(((~v90(constB166, 0)) <=> v129(constB166, 0)) | ((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1))))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21578, 4794])).
% 7.06/5.31 tff(21580,plain,
% 7.06/5.31 (~(((~v90(constB166, 0)) <=> v129(constB166, 0)) | ((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1)))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21579, 21572])).
% 7.06/5.31 tff(21581,plain,
% 7.06/5.31 ((((~v90(constB166, 0)) <=> v129(constB166, 0)) | ((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1))) | (~((~v90(constB166, 2)) <=> v129(constB166, 2)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21582,plain,
% 7.06/5.31 (~((~v90(constB166, 2)) <=> v129(constB166, 2))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21581, 21580])).
% 7.06/5.31 tff(21583,plain,
% 7.06/5.31 (((~v90(constB166, 2)) <=> v129(constB166, 2)) | (~v90(constB166, 2)) | v129(constB166, 2)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21584,plain,
% 7.06/5.31 (~v90(constB166, 2)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21583, 21582, 21482])).
% 7.06/5.31 tff(21585,plain,
% 7.06/5.31 (((~v90(constB167, 2)) <=> v90(constB166, 2)) | (~v90(constB167, 2)) | v90(constB166, 2)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21586,plain,
% 7.06/5.31 (~v90(constB167, 2)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21585, 21584, 17402])).
% 7.06/5.31 tff(21587,plain,
% 7.06/5.31 ((((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 0)) <=> v90(constB166, 0))) | (~((~v90(constB167, 0)) <=> v90(constB166, 0)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21588,plain,
% 7.06/5.31 (~((~v90(constB167, 0)) <=> v90(constB166, 0))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21587, 17400])).
% 7.06/5.31 tff(21589,plain,
% 7.06/5.31 ((((~v129(constB166, 2)) <=> v127(constB165, 2)) | ((~v129(constB166, 1)) <=> v127(constB165, 1)) | ((~v129(constB166, 0)) <=> v127(constB165, 0))) | (~((~v129(constB166, 0)) <=> v127(constB165, 0)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21590,plain,
% 7.06/5.31 (~((~v129(constB166, 0)) <=> v127(constB165, 0))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21589, 17409])).
% 7.06/5.31 tff(21591,plain,
% 7.06/5.31 ((((~v127(constB165, 2)) <=> v130(constB165, 2)) | ((~v127(constB165, 1)) <=> v130(constB165, 1)) | ((~v127(constB165, 0)) <=> v130(constB165, 0))) | (~((~v127(constB165, 0)) <=> v130(constB165, 0)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21592,plain,
% 7.06/5.31 (~((~v127(constB165, 0)) <=> v130(constB165, 0))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21591, 17423])).
% 7.06/5.31 tff(21593,plain,
% 7.06/5.31 ((v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0))) | v130(constB165, 0)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21594,plain,
% 7.06/5.31 (v130(constB165, 0)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21593, 21476])).
% 7.06/5.31 tff(21595,plain,
% 7.06/5.31 (((~v127(constB165, 0)) <=> v130(constB165, 0)) | v127(constB165, 0) | (~v130(constB165, 0))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21596,plain,
% 7.06/5.31 (v127(constB165, 0)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21595, 21594, 21592])).
% 7.06/5.31 tff(21597,plain,
% 7.06/5.31 (((~v129(constB166, 0)) <=> v127(constB165, 0)) | v129(constB166, 0) | (~v127(constB165, 0))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21598,plain,
% 7.06/5.31 (v129(constB166, 0)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21597, 21596, 21590])).
% 7.06/5.31 tff(21599,plain,
% 7.06/5.31 ((((~v90(constB166, 0)) <=> v129(constB166, 0)) | ((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1))) | (~((~v90(constB166, 0)) <=> v129(constB166, 0)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21600,plain,
% 7.06/5.31 (~((~v90(constB166, 0)) <=> v129(constB166, 0))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21599, 21580])).
% 7.06/5.31 tff(21601,plain,
% 7.06/5.31 (((~v90(constB166, 0)) <=> v129(constB166, 0)) | v90(constB166, 0) | (~v129(constB166, 0))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21602,plain,
% 7.06/5.31 (v90(constB166, 0)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21601, 21600, 21598])).
% 7.06/5.31 tff(21603,plain,
% 7.06/5.31 (((~v90(constB167, 0)) <=> v90(constB166, 0)) | v90(constB167, 0) | (~v90(constB166, 0))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21604,plain,
% 7.06/5.31 (v90(constB167, 0)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21603, 21602, 21588])).
% 7.06/5.31 tff(21605,plain,
% 7.06/5.31 ((((~v90(constB167, 1)) <=> v90(constB166, 1)) | ((~v90(constB167, 2)) <=> v90(constB166, 2)) | ((~v90(constB167, 0)) <=> v90(constB166, 0))) | (~((~v90(constB167, 1)) <=> v90(constB166, 1)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21606,plain,
% 7.06/5.31 (~((~v90(constB167, 1)) <=> v90(constB166, 1))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21605, 17400])).
% 7.06/5.31 tff(21607,plain,
% 7.06/5.31 ((((~v129(constB166, 2)) <=> v127(constB165, 2)) | ((~v129(constB166, 1)) <=> v127(constB165, 1)) | ((~v129(constB166, 0)) <=> v127(constB165, 0))) | (~((~v129(constB166, 1)) <=> v127(constB165, 1)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21608,plain,
% 7.06/5.31 (~((~v129(constB166, 1)) <=> v127(constB165, 1))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21607, 17409])).
% 7.06/5.31 tff(21609,plain,
% 7.06/5.31 ((((~v127(constB165, 2)) <=> v130(constB165, 2)) | ((~v127(constB165, 1)) <=> v130(constB165, 1)) | ((~v127(constB165, 0)) <=> v130(constB165, 0))) | (~((~v127(constB165, 1)) <=> v130(constB165, 1)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21610,plain,
% 7.06/5.31 (~((~v127(constB165, 1)) <=> v130(constB165, 1))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21609, 17423])).
% 7.06/5.31 tff(21611,plain,
% 7.06/5.31 ((v130(constB165, 2) | v130(constB165, 1) | (~v130(constB165, 0))) | (~v130(constB165, 1))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21612,plain,
% 7.06/5.31 (~v130(constB165, 1)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21611, 21476])).
% 7.06/5.31 tff(21613,plain,
% 7.06/5.31 (((~v127(constB165, 1)) <=> v130(constB165, 1)) | (~v127(constB165, 1)) | v130(constB165, 1)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21614,plain,
% 7.06/5.31 (~v127(constB165, 1)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21613, 21612, 21610])).
% 7.06/5.31 tff(21615,plain,
% 7.06/5.31 (((~v129(constB166, 1)) <=> v127(constB165, 1)) | (~v129(constB166, 1)) | v127(constB165, 1)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21616,plain,
% 7.06/5.31 (~v129(constB166, 1)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21615, 21614, 21608])).
% 7.06/5.31 tff(21617,plain,
% 7.06/5.31 ((((~v90(constB166, 0)) <=> v129(constB166, 0)) | ((~v90(constB166, 2)) <=> v129(constB166, 2)) | ((~v90(constB166, 1)) <=> v129(constB166, 1))) | (~((~v90(constB166, 1)) <=> v129(constB166, 1)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21618,plain,
% 7.06/5.31 (~((~v90(constB166, 1)) <=> v129(constB166, 1))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21617, 21580])).
% 7.06/5.31 tff(21619,plain,
% 7.06/5.31 (((~v90(constB166, 1)) <=> v129(constB166, 1)) | (~v90(constB166, 1)) | v129(constB166, 1)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21620,plain,
% 7.06/5.31 (~v90(constB166, 1)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21619, 21618, 21616])).
% 7.06/5.31 tff(21621,plain,
% 7.06/5.31 (((~v90(constB167, 1)) <=> v90(constB166, 1)) | (~v90(constB167, 1)) | v90(constB166, 1)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21622,plain,
% 7.06/5.31 (~v90(constB167, 1)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21621, 21620, 21606])).
% 7.06/5.31 tff(21623,plain,
% 7.06/5.31 ((~(v90(constB167, 1) | v90(constB167, 2) | (~v90(constB167, 0)))) | v90(constB167, 1) | v90(constB167, 2) | (~v90(constB167, 0))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21624,plain,
% 7.06/5.31 (~(v90(constB167, 1) | v90(constB167, 2) | (~v90(constB167, 0)))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21623, 21622, 21604, 21586])).
% 7.06/5.31 tff(21625,plain,
% 7.06/5.31 ((~(v120(constB167) <=> (~(v90(constB167, 1) | v90(constB167, 2) | (~v90(constB167, 0)))))) | v120(constB167) | (v90(constB167, 1) | v90(constB167, 2) | (~v90(constB167, 0)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21626,plain,
% 7.06/5.31 (v120(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21625, 21624, 17366])).
% 7.06/5.31 tff(21627,plain,
% 7.06/5.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB167)) | (~(v130(constB167, 2) | v130(constB167, 0) | (~v130(constB167, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB167)) | (~(v130(constB167, 2) | v130(constB167, 0) | (~v130(constB167, 1)))))),
% 7.06/5.31 inference(rewrite,[status(thm)],[])).
% 7.06/5.31 tff(21628,plain,
% 7.06/5.31 (((~v120(constB167)) | (~(v130(constB167, 0) | v130(constB167, 2) | (~v130(constB167, 1))))) <=> ((~v120(constB167)) | (~(v130(constB167, 2) | v130(constB167, 0) | (~v130(constB167, 1)))))),
% 7.06/5.31 inference(rewrite,[status(thm)],[])).
% 7.06/5.31 tff(21629,plain,
% 7.06/5.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB167)) | (~(v130(constB167, 0) | v130(constB167, 2) | (~v130(constB167, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB167)) | (~(v130(constB167, 2) | v130(constB167, 0) | (~v130(constB167, 1))))))),
% 7.06/5.31 inference(monotonicity,[status(thm)],[21628])).
% 7.06/5.31 tff(21630,plain,
% 7.06/5.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB167)) | (~(v130(constB167, 0) | v130(constB167, 2) | (~v130(constB167, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB167)) | (~(v130(constB167, 2) | v130(constB167, 0) | (~v130(constB167, 1)))))),
% 7.06/5.31 inference(transitivity,[status(thm)],[21629, 21627])).
% 7.06/5.31 tff(21631,plain,
% 7.06/5.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB167)) | (~(v130(constB167, 0) | v130(constB167, 2) | (~v130(constB167, 1)))))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21632,plain,
% 7.06/5.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB167)) | (~(v130(constB167, 2) | v130(constB167, 0) | (~v130(constB167, 1))))),
% 7.06/5.31 inference(modus_ponens,[status(thm)],[21631, 21630])).
% 7.06/5.31 tff(21633,plain,
% 7.06/5.31 ((~v120(constB167)) | (~(v130(constB167, 2) | v130(constB167, 0) | (~v130(constB167, 1))))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21632, 5246])).
% 7.06/5.31 tff(21634,plain,
% 7.06/5.31 (~(v130(constB167, 2) | v130(constB167, 0) | (~v130(constB167, 1)))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21633, 21626])).
% 7.06/5.31 tff(21635,plain,
% 7.06/5.31 ((v130(constB167, 2) | v130(constB167, 0) | (~v130(constB167, 1))) | (~v130(constB167, 2))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21636,plain,
% 7.06/5.31 (~v130(constB167, 2)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21635, 21634])).
% 7.06/5.31 tff(21637,plain,
% 7.06/5.31 (((~v127(constB167, 2)) <=> v130(constB167, 2)) | (~v127(constB167, 2)) | v130(constB167, 2)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21638,plain,
% 7.06/5.31 (~v127(constB167, 2)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21637, 21636, 17364])).
% 7.06/5.31 tff(21639,plain,
% 7.06/5.31 (((~v129(constB168, 2)) <=> v127(constB167, 2)) | (~v129(constB168, 2)) | v127(constB167, 2)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21640,plain,
% 7.06/5.31 (~v129(constB168, 2)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21639, 21638, 17350])).
% 7.06/5.31 tff(21641,plain,
% 7.06/5.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))))),
% 7.06/5.31 inference(rewrite,[status(thm)],[])).
% 7.06/5.31 tff(21642,plain,
% 7.06/5.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21643,plain,
% 7.06/5.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168)))))),
% 7.06/5.31 inference(modus_ponens,[status(thm)],[21642, 21641])).
% 7.06/5.31 tff(21644,plain,
% 7.06/5.31 (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21643, 17344, 273])).
% 7.06/5.31 tff(21645,plain,
% 7.06/5.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))),
% 7.06/5.31 inference(rewrite,[status(thm)],[])).
% 7.06/5.31 tff(21646,plain,
% 7.06/5.31 (((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168)))))) <=> ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))),
% 7.06/5.31 inference(rewrite,[status(thm)],[])).
% 7.06/5.31 tff(21647,plain,
% 7.06/5.31 (((~![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) <=> (~((~v1(constB168)) | (~v102(constB168)))))))),
% 7.06/5.31 inference(monotonicity,[status(thm)],[21646])).
% 7.06/5.31 tff(21648,plain,
% 7.06/5.31 (((~![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) <=> (~((~v1(constB168)) | (~v102(constB168))))))),
% 7.06/5.31 inference(transitivity,[status(thm)],[21647, 21645])).
% 7.06/5.31 tff(21649,plain,
% 7.06/5.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168))))))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21650,plain,
% 7.06/5.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168)))))),
% 7.06/5.31 inference(modus_ponens,[status(thm)],[21649, 21648])).
% 7.06/5.31 tff(21651,plain,
% 7.06/5.31 (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21650, 17344, 293])).
% 7.06/5.31 tff(21652,plain,
% 7.06/5.31 (((~![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)))),
% 7.06/5.31 inference(rewrite,[status(thm)],[])).
% 7.06/5.31 tff(21653,plain,
% 7.06/5.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168)))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21654,plain,
% 7.06/5.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168))),
% 7.06/5.31 inference(modus_ponens,[status(thm)],[21653, 21652])).
% 7.06/5.31 tff(21655,plain,
% 7.06/5.31 ((~v102(constB168)) <=> v104(constB168)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21654, 17344, 4609])).
% 7.06/5.31 tff(21656,plain,
% 7.06/5.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167)))),
% 7.06/5.31 inference(rewrite,[status(thm)],[])).
% 7.06/5.31 tff(21657,plain,
% 7.06/5.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167)))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21658,plain,
% 7.06/5.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167))),
% 7.06/5.31 inference(modus_ponens,[status(thm)],[21657, 21656])).
% 7.06/5.31 tff(21659,plain,
% 7.06/5.31 (v104(constB168) <=> v1(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21658, 17344, 4623])).
% 7.06/5.31 tff(21660,plain,
% 7.06/5.31 ((~(v104(constB168) <=> v1(constB167))) | (~v104(constB168)) | v1(constB167)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21661,plain,
% 7.06/5.31 ((~(v104(constB168) <=> v1(constB167))) | (~v104(constB168))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21660, 17383])).
% 7.06/5.31 tff(21662,plain,
% 7.06/5.31 (~v104(constB168)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21661, 21659])).
% 7.06/5.31 tff(21663,plain,
% 7.06/5.31 ((~((~v102(constB168)) <=> v104(constB168))) | v102(constB168) | v104(constB168)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21664,plain,
% 7.06/5.31 (v102(constB168)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21663, 21662, 21655])).
% 7.06/5.31 tff(21665,plain,
% 7.06/5.31 (v1(constB168) <=> v1(constB168)),
% 7.06/5.31 inference(rewrite,[status(thm)],[])).
% 7.06/5.31 tff(21666,axiom,(v1(constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_168')).
% 7.06/5.31 tff(21667,plain,
% 7.06/5.31 (v1(constB168)),
% 7.06/5.31 inference(modus_ponens,[status(thm)],[21666, 21665])).
% 7.06/5.31 tff(21668,plain,
% 7.06/5.31 ((~((~v1(constB168)) | (~v102(constB168)))) | (~v1(constB168)) | (~v102(constB168))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21669,plain,
% 7.06/5.31 ((~((~v1(constB168)) | (~v102(constB168)))) | (~v102(constB168))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21668, 21667])).
% 7.06/5.31 tff(21670,plain,
% 7.06/5.31 (~((~v1(constB168)) | (~v102(constB168)))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21669, 21664])).
% 7.06/5.31 tff(21671,plain,
% 7.06/5.31 ((~(v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168)))))) | v101(constB168) | ((~v1(constB168)) | (~v102(constB168)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21672,plain,
% 7.06/5.31 (v101(constB168)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21671, 21670, 21651])).
% 7.06/5.31 tff(21673,plain,
% 7.06/5.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167)))),
% 7.06/5.31 inference(rewrite,[status(thm)],[])).
% 7.06/5.31 tff(21674,plain,
% 7.06/5.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167)))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21675,plain,
% 7.06/5.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167))),
% 7.06/5.31 inference(modus_ponens,[status(thm)],[21674, 21673])).
% 7.06/5.31 tff(21676,plain,
% 7.06/5.31 (v110(constB168) <=> v108(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21675, 17344, 4650])).
% 7.06/5.31 tff(21677,plain,
% 7.06/5.31 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB167) <=> (v111(constB167) | v112(constB167)))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21678,plain,
% 7.06/5.31 (v108(constB167) <=> (v111(constB167) | v112(constB167))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21677, 4661])).
% 7.06/5.31 tff(21679,plain,
% 7.06/5.31 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167)))))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21680,plain,
% 7.06/5.31 (v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167))))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21679, 4673])).
% 7.06/5.31 tff(21681,plain,
% 7.06/5.31 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB167) <=> (v114(constB167) | v125(constB167)))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21682,plain,
% 7.06/5.31 (v113(constB167) <=> (v114(constB167) | v125(constB167))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21681, 4682])).
% 7.06/5.31 tff(21683,plain,
% 7.06/5.31 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB167) <=> (v115(constB167) | v124(constB167)))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21684,plain,
% 7.06/5.31 (v114(constB167) <=> (v115(constB167) | v124(constB167))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21683, 4691])).
% 7.06/5.31 tff(21685,plain,
% 7.06/5.31 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB167) <=> (v116(constB167) | v123(constB167)))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21686,plain,
% 7.06/5.31 (v115(constB167) <=> (v116(constB167) | v123(constB167))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21685, 4700])).
% 7.06/5.31 tff(21687,plain,
% 7.06/5.31 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB167) <=> (v117(constB167) | v122(constB167)))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21688,plain,
% 7.06/5.31 (v116(constB167) <=> (v117(constB167) | v122(constB167))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21687, 4709])).
% 7.06/5.31 tff(21689,plain,
% 7.06/5.31 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB167) <=> (v118(constB167) | v121(constB167)))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21690,plain,
% 7.06/5.31 (v117(constB167) <=> (v118(constB167) | v121(constB167))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21689, 4718])).
% 7.06/5.31 tff(21691,plain,
% 7.06/5.31 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB167) <=> (v119(constB167) | v120(constB167)))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21692,plain,
% 7.06/5.31 (v118(constB167) <=> (v119(constB167) | v120(constB167))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21691, 4727])).
% 7.06/5.31 tff(21693,plain,
% 7.06/5.31 ((v119(constB167) | v120(constB167)) | (~v120(constB167))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21694,plain,
% 7.06/5.31 (v119(constB167) | v120(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21693, 21626])).
% 7.06/5.31 tff(21695,plain,
% 7.06/5.31 ((~(v118(constB167) <=> (v119(constB167) | v120(constB167)))) | v118(constB167) | (~(v119(constB167) | v120(constB167)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21696,plain,
% 7.06/5.31 (v118(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21695, 21694, 21692])).
% 7.06/5.31 tff(21697,plain,
% 7.06/5.31 ((v118(constB167) | v121(constB167)) | (~v118(constB167))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21698,plain,
% 7.06/5.31 (v118(constB167) | v121(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21697, 21696])).
% 7.06/5.31 tff(21699,plain,
% 7.06/5.31 ((~(v117(constB167) <=> (v118(constB167) | v121(constB167)))) | v117(constB167) | (~(v118(constB167) | v121(constB167)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21700,plain,
% 7.06/5.31 (v117(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21699, 21698, 21690])).
% 7.06/5.31 tff(21701,plain,
% 7.06/5.31 ((v117(constB167) | v122(constB167)) | (~v117(constB167))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21702,plain,
% 7.06/5.31 (v117(constB167) | v122(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21701, 21700])).
% 7.06/5.31 tff(21703,plain,
% 7.06/5.31 ((~(v116(constB167) <=> (v117(constB167) | v122(constB167)))) | v116(constB167) | (~(v117(constB167) | v122(constB167)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21704,plain,
% 7.06/5.31 (v116(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21703, 21702, 21688])).
% 7.06/5.31 tff(21705,plain,
% 7.06/5.31 ((v116(constB167) | v123(constB167)) | (~v116(constB167))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21706,plain,
% 7.06/5.31 (v116(constB167) | v123(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21705, 21704])).
% 7.06/5.31 tff(21707,plain,
% 7.06/5.31 ((~(v115(constB167) <=> (v116(constB167) | v123(constB167)))) | v115(constB167) | (~(v116(constB167) | v123(constB167)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21708,plain,
% 7.06/5.31 (v115(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21707, 21706, 21686])).
% 7.06/5.31 tff(21709,plain,
% 7.06/5.31 ((v115(constB167) | v124(constB167)) | (~v115(constB167))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21710,plain,
% 7.06/5.31 (v115(constB167) | v124(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21709, 21708])).
% 7.06/5.31 tff(21711,plain,
% 7.06/5.31 ((~(v114(constB167) <=> (v115(constB167) | v124(constB167)))) | v114(constB167) | (~(v115(constB167) | v124(constB167)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21712,plain,
% 7.06/5.31 (v114(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21711, 21710, 21684])).
% 7.06/5.31 tff(21713,plain,
% 7.06/5.31 ((v114(constB167) | v125(constB167)) | (~v114(constB167))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21714,plain,
% 7.06/5.31 (v114(constB167) | v125(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21713, 21712])).
% 7.06/5.31 tff(21715,plain,
% 7.06/5.31 ((~(v113(constB167) <=> (v114(constB167) | v125(constB167)))) | v113(constB167) | (~(v114(constB167) | v125(constB167)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21716,plain,
% 7.06/5.31 (v113(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21715, 21714, 21682])).
% 7.06/5.31 tff(21717,plain,
% 7.06/5.31 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB167)) <=> v111(constB167))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21718,plain,
% 7.06/5.31 ((~v126(constB167)) <=> v111(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21717, 4761])).
% 7.06/5.31 tff(21719,plain,
% 7.06/5.31 ((~((~v126(constB167)) <=> v111(constB167))) | v126(constB167) | v111(constB167)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21720,plain,
% 7.06/5.31 ((~((~v126(constB167)) <=> v111(constB167))) | v126(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21719, 17357])).
% 7.06/5.31 tff(21721,plain,
% 7.06/5.31 (v126(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21720, 21718])).
% 7.06/5.31 tff(21722,plain,
% 7.06/5.31 ((~((~v113(constB167)) | (~v126(constB167)))) | (~v113(constB167)) | (~v126(constB167))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21723,plain,
% 7.06/5.31 ((~((~v113(constB167)) | (~v126(constB167)))) | (~v113(constB167))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21722, 21721])).
% 7.06/5.31 tff(21724,plain,
% 7.06/5.31 (~((~v113(constB167)) | (~v126(constB167)))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21723, 21716])).
% 7.06/5.31 tff(21725,plain,
% 7.06/5.31 ((~(v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167)))))) | v112(constB167) | ((~v113(constB167)) | (~v126(constB167)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21726,plain,
% 7.06/5.31 (v112(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21725, 21724, 21680])).
% 7.06/5.31 tff(21727,plain,
% 7.06/5.31 ((v111(constB167) | v112(constB167)) | (~v112(constB167))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21728,plain,
% 7.06/5.31 (v111(constB167) | v112(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21727, 21726])).
% 7.06/5.31 tff(21729,plain,
% 7.06/5.31 ((~(v108(constB167) <=> (v111(constB167) | v112(constB167)))) | v108(constB167) | (~(v111(constB167) | v112(constB167)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21730,plain,
% 7.06/5.31 (v108(constB167)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21729, 21728, 21678])).
% 7.06/5.31 tff(21731,plain,
% 7.06/5.31 ((~(v110(constB168) <=> v108(constB167))) | v110(constB168) | (~v108(constB167))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21732,plain,
% 7.06/5.31 (v110(constB168)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21731, 21730, 21676])).
% 7.06/5.31 tff(21733,plain,
% 7.06/5.31 ((~((~v101(constB168)) | (~v110(constB168)))) | (~v101(constB168)) | (~v110(constB168))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21734,plain,
% 7.06/5.31 (~((~v101(constB168)) | (~v110(constB168)))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21733, 21732, 21672])).
% 7.06/5.31 tff(21735,plain,
% 7.06/5.31 ((~(v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168)))))) | v100(constB168) | ((~v101(constB168)) | (~v110(constB168)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21736,plain,
% 7.06/5.31 (v100(constB168)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21735, 21734, 21644])).
% 7.06/5.31 tff(21737,plain,
% 7.06/5.31 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB168)) | (~(((~v90(constB168, 2)) <=> v129(constB168, 2)) | ((~v90(constB168, 1)) <=> v129(constB168, 1)) | ((~v90(constB168, 0)) <=> v129(constB168, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB168)) | (~(((~v90(constB168, 2)) <=> v129(constB168, 2)) | ((~v90(constB168, 1)) <=> v129(constB168, 1)) | ((~v90(constB168, 0)) <=> v129(constB168, 0)))))),
% 7.06/5.31 inference(rewrite,[status(thm)],[])).
% 7.06/5.31 tff(21738,plain,
% 7.06/5.31 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB168)) | (~(((~v90(constB168, 2)) <=> v129(constB168, 2)) | ((~v90(constB168, 1)) <=> v129(constB168, 1)) | ((~v90(constB168, 0)) <=> v129(constB168, 0)))))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21739,plain,
% 7.06/5.31 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB168)) | (~(((~v90(constB168, 2)) <=> v129(constB168, 2)) | ((~v90(constB168, 1)) <=> v129(constB168, 1)) | ((~v90(constB168, 0)) <=> v129(constB168, 0))))),
% 7.06/5.31 inference(modus_ponens,[status(thm)],[21738, 21737])).
% 7.06/5.31 tff(21740,plain,
% 7.06/5.31 ((~v100(constB168)) | (~(((~v90(constB168, 2)) <=> v129(constB168, 2)) | ((~v90(constB168, 1)) <=> v129(constB168, 1)) | ((~v90(constB168, 0)) <=> v129(constB168, 0))))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21739, 4794])).
% 7.06/5.31 tff(21741,plain,
% 7.06/5.31 (~(((~v90(constB168, 2)) <=> v129(constB168, 2)) | ((~v90(constB168, 1)) <=> v129(constB168, 1)) | ((~v90(constB168, 0)) <=> v129(constB168, 0)))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21740, 21736])).
% 7.06/5.31 tff(21742,plain,
% 7.06/5.31 ((((~v90(constB168, 2)) <=> v129(constB168, 2)) | ((~v90(constB168, 1)) <=> v129(constB168, 1)) | ((~v90(constB168, 0)) <=> v129(constB168, 0))) | (~((~v90(constB168, 2)) <=> v129(constB168, 2)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21743,plain,
% 7.06/5.31 (~((~v90(constB168, 2)) <=> v129(constB168, 2))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21742, 21741])).
% 7.06/5.31 tff(21744,plain,
% 7.06/5.31 (((~v90(constB168, 2)) <=> v129(constB168, 2)) | (~v90(constB168, 2)) | v129(constB168, 2)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21745,plain,
% 7.06/5.31 (~v90(constB168, 2)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21744, 21743, 21640])).
% 7.06/5.31 tff(21746,plain,
% 7.06/5.31 (((~v90(constB169, 2)) <=> v90(constB168, 2)) | (~v90(constB169, 2)) | v90(constB168, 2)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21747,plain,
% 7.06/5.31 (~v90(constB169, 2)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21746, 21745, 17341])).
% 7.06/5.31 tff(21748,plain,
% 7.06/5.31 ((((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 0)) <=> v90(constB168, 0))) | (~((~v90(constB169, 0)) <=> v90(constB168, 0)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21749,plain,
% 7.06/5.31 (~((~v90(constB169, 0)) <=> v90(constB168, 0))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21748, 17339])).
% 7.06/5.31 tff(21750,plain,
% 7.06/5.31 ((((~v129(constB168, 2)) <=> v127(constB167, 2)) | ((~v129(constB168, 1)) <=> v127(constB167, 1)) | ((~v129(constB168, 0)) <=> v127(constB167, 0))) | (~((~v129(constB168, 0)) <=> v127(constB167, 0)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21751,plain,
% 7.06/5.31 (~((~v129(constB168, 0)) <=> v127(constB167, 0))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21750, 17348])).
% 7.06/5.31 tff(21752,plain,
% 7.06/5.31 ((((~v127(constB167, 2)) <=> v130(constB167, 2)) | ((~v127(constB167, 1)) <=> v130(constB167, 1)) | ((~v127(constB167, 0)) <=> v130(constB167, 0))) | (~((~v127(constB167, 0)) <=> v130(constB167, 0)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21753,plain,
% 7.06/5.31 (~((~v127(constB167, 0)) <=> v130(constB167, 0))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21752, 17362])).
% 7.06/5.31 tff(21754,plain,
% 7.06/5.31 ((v130(constB167, 2) | v130(constB167, 0) | (~v130(constB167, 1))) | (~v130(constB167, 0))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21755,plain,
% 7.06/5.31 (~v130(constB167, 0)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21754, 21634])).
% 7.06/5.31 tff(21756,plain,
% 7.06/5.31 (((~v127(constB167, 0)) <=> v130(constB167, 0)) | (~v127(constB167, 0)) | v130(constB167, 0)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21757,plain,
% 7.06/5.31 (~v127(constB167, 0)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21756, 21755, 21753])).
% 7.06/5.31 tff(21758,plain,
% 7.06/5.31 (((~v129(constB168, 0)) <=> v127(constB167, 0)) | (~v129(constB168, 0)) | v127(constB167, 0)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21759,plain,
% 7.06/5.31 (~v129(constB168, 0)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21758, 21757, 21751])).
% 7.06/5.31 tff(21760,plain,
% 7.06/5.31 ((((~v90(constB168, 2)) <=> v129(constB168, 2)) | ((~v90(constB168, 1)) <=> v129(constB168, 1)) | ((~v90(constB168, 0)) <=> v129(constB168, 0))) | (~((~v90(constB168, 0)) <=> v129(constB168, 0)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21761,plain,
% 7.06/5.31 (~((~v90(constB168, 0)) <=> v129(constB168, 0))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21760, 21741])).
% 7.06/5.31 tff(21762,plain,
% 7.06/5.31 (((~v90(constB168, 0)) <=> v129(constB168, 0)) | (~v90(constB168, 0)) | v129(constB168, 0)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21763,plain,
% 7.06/5.31 (~v90(constB168, 0)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21762, 21761, 21759])).
% 7.06/5.31 tff(21764,plain,
% 7.06/5.31 (((~v90(constB169, 0)) <=> v90(constB168, 0)) | (~v90(constB169, 0)) | v90(constB168, 0)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21765,plain,
% 7.06/5.31 (~v90(constB169, 0)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21764, 21763, 21749])).
% 7.06/5.31 tff(21766,plain,
% 7.06/5.31 ((((~v90(constB169, 1)) <=> v90(constB168, 1)) | ((~v90(constB169, 2)) <=> v90(constB168, 2)) | ((~v90(constB169, 0)) <=> v90(constB168, 0))) | (~((~v90(constB169, 1)) <=> v90(constB168, 1)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21767,plain,
% 7.06/5.31 (~((~v90(constB169, 1)) <=> v90(constB168, 1))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21766, 17339])).
% 7.06/5.31 tff(21768,plain,
% 7.06/5.31 ((((~v129(constB168, 2)) <=> v127(constB167, 2)) | ((~v129(constB168, 1)) <=> v127(constB167, 1)) | ((~v129(constB168, 0)) <=> v127(constB167, 0))) | (~((~v129(constB168, 1)) <=> v127(constB167, 1)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21769,plain,
% 7.06/5.31 (~((~v129(constB168, 1)) <=> v127(constB167, 1))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21768, 17348])).
% 7.06/5.31 tff(21770,plain,
% 7.06/5.31 ((((~v127(constB167, 2)) <=> v130(constB167, 2)) | ((~v127(constB167, 1)) <=> v130(constB167, 1)) | ((~v127(constB167, 0)) <=> v130(constB167, 0))) | (~((~v127(constB167, 1)) <=> v130(constB167, 1)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21771,plain,
% 7.06/5.31 (~((~v127(constB167, 1)) <=> v130(constB167, 1))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21770, 17362])).
% 7.06/5.31 tff(21772,plain,
% 7.06/5.31 ((v130(constB167, 2) | v130(constB167, 0) | (~v130(constB167, 1))) | v130(constB167, 1)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21773,plain,
% 7.06/5.31 (v130(constB167, 1)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21772, 21634])).
% 7.06/5.31 tff(21774,plain,
% 7.06/5.31 (((~v127(constB167, 1)) <=> v130(constB167, 1)) | v127(constB167, 1) | (~v130(constB167, 1))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21775,plain,
% 7.06/5.31 (v127(constB167, 1)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21774, 21773, 21771])).
% 7.06/5.31 tff(21776,plain,
% 7.06/5.31 (((~v129(constB168, 1)) <=> v127(constB167, 1)) | v129(constB168, 1) | (~v127(constB167, 1))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21777,plain,
% 7.06/5.31 (v129(constB168, 1)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21776, 21775, 21769])).
% 7.06/5.31 tff(21778,plain,
% 7.06/5.31 ((((~v90(constB168, 2)) <=> v129(constB168, 2)) | ((~v90(constB168, 1)) <=> v129(constB168, 1)) | ((~v90(constB168, 0)) <=> v129(constB168, 0))) | (~((~v90(constB168, 1)) <=> v129(constB168, 1)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21779,plain,
% 7.06/5.31 (~((~v90(constB168, 1)) <=> v129(constB168, 1))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21778, 21741])).
% 7.06/5.31 tff(21780,plain,
% 7.06/5.31 (((~v90(constB168, 1)) <=> v129(constB168, 1)) | v90(constB168, 1) | (~v129(constB168, 1))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21781,plain,
% 7.06/5.31 (v90(constB168, 1)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21780, 21779, 21777])).
% 7.06/5.31 tff(21782,plain,
% 7.06/5.31 (((~v90(constB169, 1)) <=> v90(constB168, 1)) | v90(constB169, 1) | (~v90(constB168, 1))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21783,plain,
% 7.06/5.31 (v90(constB169, 1)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21782, 21781, 21767])).
% 7.06/5.31 tff(21784,plain,
% 7.06/5.31 ((~(v90(constB169, 2) | v90(constB169, 0) | (~v90(constB169, 1)))) | v90(constB169, 2) | v90(constB169, 0) | (~v90(constB169, 1))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21785,plain,
% 7.06/5.31 (~(v90(constB169, 2) | v90(constB169, 0) | (~v90(constB169, 1)))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21784, 21783, 21765, 21747])).
% 7.06/5.31 tff(21786,plain,
% 7.06/5.31 ((~(v121(constB169) <=> (~(v90(constB169, 2) | v90(constB169, 0) | (~v90(constB169, 1)))))) | v121(constB169) | (v90(constB169, 2) | v90(constB169, 0) | (~v90(constB169, 1)))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21787,plain,
% 7.06/5.31 (v121(constB169)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21786, 21785, 17305])).
% 7.06/5.31 tff(21788,plain,
% 7.06/5.31 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB169)) | (~(v130(constB169, 2) | (~v130(constB169, 1)) | (~v130(constB169, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB169)) | (~(v130(constB169, 2) | (~v130(constB169, 1)) | (~v130(constB169, 0)))))),
% 7.06/5.31 inference(rewrite,[status(thm)],[])).
% 7.06/5.31 tff(21789,plain,
% 7.06/5.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB169)) | (~(v130(constB169, 2) | (~v130(constB169, 1)) | (~v130(constB169, 0)))))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21790,plain,
% 7.06/5.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB169)) | (~(v130(constB169, 2) | (~v130(constB169, 1)) | (~v130(constB169, 0))))),
% 7.06/5.31 inference(modus_ponens,[status(thm)],[21789, 21788])).
% 7.06/5.31 tff(21791,plain,
% 7.06/5.31 ((~v121(constB169)) | (~(v130(constB169, 2) | (~v130(constB169, 1)) | (~v130(constB169, 0))))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21790, 5420])).
% 7.06/5.31 tff(21792,plain,
% 7.06/5.31 (~(v130(constB169, 2) | (~v130(constB169, 1)) | (~v130(constB169, 0)))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21791, 21787])).
% 7.06/5.31 tff(21793,plain,
% 7.06/5.31 ((v130(constB169, 2) | (~v130(constB169, 1)) | (~v130(constB169, 0))) | (~v130(constB169, 2))),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21794,plain,
% 7.06/5.31 (~v130(constB169, 2)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21793, 21792])).
% 7.06/5.31 tff(21795,plain,
% 7.06/5.31 (((~v127(constB169, 2)) <=> v130(constB169, 2)) | (~v127(constB169, 2)) | v130(constB169, 2)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21796,plain,
% 7.06/5.31 (~v127(constB169, 2)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21795, 21794, 17298])).
% 7.06/5.31 tff(21797,plain,
% 7.06/5.31 (((~v129(constB170, 2)) <=> v127(constB169, 2)) | (~v129(constB170, 2)) | v127(constB169, 2)),
% 7.06/5.31 inference(tautology,[status(thm)],[])).
% 7.06/5.31 tff(21798,plain,
% 7.06/5.31 (~v129(constB170, 2)),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21797, 21796, 17284])).
% 7.06/5.31 tff(21799,plain,
% 7.06/5.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))))),
% 7.06/5.31 inference(rewrite,[status(thm)],[])).
% 7.06/5.31 tff(21800,plain,
% 7.06/5.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))))),
% 7.06/5.31 inference(quant_inst,[status(thm)],[])).
% 7.06/5.31 tff(21801,plain,
% 7.06/5.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170)))))),
% 7.06/5.31 inference(modus_ponens,[status(thm)],[21800, 21799])).
% 7.06/5.31 tff(21802,plain,
% 7.06/5.31 (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))),
% 7.06/5.31 inference(unit_resolution,[status(thm)],[21801, 17278, 273])).
% 7.06/5.31 tff(21803,plain,
% 7.06/5.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 7.06/5.32 inference(rewrite,[status(thm)],[])).
% 7.06/5.32 tff(21804,plain,
% 7.06/5.32 (((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170)))))) <=> ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 7.06/5.32 inference(rewrite,[status(thm)],[])).
% 7.06/5.32 tff(21805,plain,
% 7.06/5.32 (((~![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) <=> (~((~v1(constB170)) | (~v102(constB170)))))))),
% 7.06/5.32 inference(monotonicity,[status(thm)],[21804])).
% 7.06/5.32 tff(21806,plain,
% 7.06/5.32 (((~![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) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 7.06/5.32 inference(transitivity,[status(thm)],[21805, 21803])).
% 7.06/5.32 tff(21807,plain,
% 7.06/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170))))))),
% 7.06/5.32 inference(quant_inst,[status(thm)],[])).
% 7.06/5.32 tff(21808,plain,
% 7.06/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))),
% 7.06/5.32 inference(modus_ponens,[status(thm)],[21807, 21806])).
% 7.06/5.32 tff(21809,plain,
% 7.06/5.32 (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))),
% 7.06/5.32 inference(unit_resolution,[status(thm)],[21808, 17278, 293])).
% 7.06/5.32 tff(21810,plain,
% 7.06/5.32 (((~![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)))),
% 7.06/5.32 inference(rewrite,[status(thm)],[])).
% 7.06/5.32 tff(21811,plain,
% 7.06/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170)))),
% 7.06/5.32 inference(quant_inst,[status(thm)],[])).
% 7.06/5.32 tff(21812,plain,
% 7.06/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170))),
% 7.06/5.32 inference(modus_ponens,[status(thm)],[21811, 21810])).
% 7.06/5.32 tff(21813,plain,
% 7.06/5.32 ((~v102(constB170)) <=> v104(constB170)),
% 7.06/5.32 inference(unit_resolution,[status(thm)],[21812, 17278, 4609])).
% 7.06/5.32 tff(21814,plain,
% 7.06/5.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169)))),
% 7.06/5.32 inference(rewrite,[status(thm)],[])).
% 7.06/5.32 tff(21815,plain,
% 7.06/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169)))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21816,plain,
% 7.13/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169))),
% 7.13/5.32 inference(modus_ponens,[status(thm)],[21815, 21814])).
% 7.13/5.32 tff(21817,plain,
% 7.13/5.32 (v104(constB170) <=> v1(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21816, 17278, 4623])).
% 7.13/5.32 tff(21818,plain,
% 7.13/5.32 ((~(v104(constB170) <=> v1(constB169))) | (~v104(constB170)) | v1(constB169)),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21819,plain,
% 7.13/5.32 ((~(v104(constB170) <=> v1(constB169))) | (~v104(constB170))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21818, 17322])).
% 7.13/5.32 tff(21820,plain,
% 7.13/5.32 (~v104(constB170)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21819, 21817])).
% 7.13/5.32 tff(21821,plain,
% 7.13/5.32 ((~((~v102(constB170)) <=> v104(constB170))) | v102(constB170) | v104(constB170)),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21822,plain,
% 7.13/5.32 (v102(constB170)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21821, 21820, 21813])).
% 7.13/5.32 tff(21823,plain,
% 7.13/5.32 (v1(constB170) <=> v1(constB170)),
% 7.13/5.32 inference(rewrite,[status(thm)],[])).
% 7.13/5.32 tff(21824,axiom,(v1(constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_170')).
% 7.13/5.32 tff(21825,plain,
% 7.13/5.32 (v1(constB170)),
% 7.13/5.32 inference(modus_ponens,[status(thm)],[21824, 21823])).
% 7.13/5.32 tff(21826,plain,
% 7.13/5.32 ((~((~v1(constB170)) | (~v102(constB170)))) | (~v1(constB170)) | (~v102(constB170))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21827,plain,
% 7.13/5.32 ((~((~v1(constB170)) | (~v102(constB170)))) | (~v102(constB170))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21826, 21825])).
% 7.13/5.32 tff(21828,plain,
% 7.13/5.32 (~((~v1(constB170)) | (~v102(constB170)))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21827, 21822])).
% 7.13/5.32 tff(21829,plain,
% 7.13/5.32 ((~(v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))) | v101(constB170) | ((~v1(constB170)) | (~v102(constB170)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21830,plain,
% 7.13/5.32 (v101(constB170)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21829, 21828, 21809])).
% 7.13/5.32 tff(21831,plain,
% 7.13/5.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169)))),
% 7.13/5.32 inference(rewrite,[status(thm)],[])).
% 7.13/5.32 tff(21832,plain,
% 7.13/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169)))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21833,plain,
% 7.13/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169))),
% 7.13/5.32 inference(modus_ponens,[status(thm)],[21832, 21831])).
% 7.13/5.32 tff(21834,plain,
% 7.13/5.32 (v110(constB170) <=> v108(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21833, 17278, 4650])).
% 7.13/5.32 tff(21835,plain,
% 7.13/5.32 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB169) <=> (v111(constB169) | v112(constB169)))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21836,plain,
% 7.13/5.32 (v108(constB169) <=> (v111(constB169) | v112(constB169))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21835, 4661])).
% 7.13/5.32 tff(21837,plain,
% 7.13/5.32 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169)))))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21838,plain,
% 7.13/5.32 (v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169))))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21837, 4673])).
% 7.13/5.32 tff(21839,plain,
% 7.13/5.32 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB169) <=> (v114(constB169) | v125(constB169)))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21840,plain,
% 7.13/5.32 (v113(constB169) <=> (v114(constB169) | v125(constB169))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21839, 4682])).
% 7.13/5.32 tff(21841,plain,
% 7.13/5.32 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB169) <=> (v115(constB169) | v124(constB169)))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21842,plain,
% 7.13/5.32 (v114(constB169) <=> (v115(constB169) | v124(constB169))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21841, 4691])).
% 7.13/5.32 tff(21843,plain,
% 7.13/5.32 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB169) <=> (v116(constB169) | v123(constB169)))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21844,plain,
% 7.13/5.32 (v115(constB169) <=> (v116(constB169) | v123(constB169))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21843, 4700])).
% 7.13/5.32 tff(21845,plain,
% 7.13/5.32 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB169) <=> (v117(constB169) | v122(constB169)))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21846,plain,
% 7.13/5.32 (v116(constB169) <=> (v117(constB169) | v122(constB169))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21845, 4709])).
% 7.13/5.32 tff(21847,plain,
% 7.13/5.32 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB169) <=> (v118(constB169) | v121(constB169)))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21848,plain,
% 7.13/5.32 (v117(constB169) <=> (v118(constB169) | v121(constB169))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21847, 4718])).
% 7.13/5.32 tff(21849,plain,
% 7.13/5.32 ((v118(constB169) | v121(constB169)) | (~v121(constB169))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21850,plain,
% 7.13/5.32 (v118(constB169) | v121(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21849, 21787])).
% 7.13/5.32 tff(21851,plain,
% 7.13/5.32 ((~(v117(constB169) <=> (v118(constB169) | v121(constB169)))) | v117(constB169) | (~(v118(constB169) | v121(constB169)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21852,plain,
% 7.13/5.32 (v117(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21851, 21850, 21848])).
% 7.13/5.32 tff(21853,plain,
% 7.13/5.32 ((v117(constB169) | v122(constB169)) | (~v117(constB169))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21854,plain,
% 7.13/5.32 (v117(constB169) | v122(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21853, 21852])).
% 7.13/5.32 tff(21855,plain,
% 7.13/5.32 ((~(v116(constB169) <=> (v117(constB169) | v122(constB169)))) | v116(constB169) | (~(v117(constB169) | v122(constB169)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21856,plain,
% 7.13/5.32 (v116(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21855, 21854, 21846])).
% 7.13/5.32 tff(21857,plain,
% 7.13/5.32 ((v116(constB169) | v123(constB169)) | (~v116(constB169))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21858,plain,
% 7.13/5.32 (v116(constB169) | v123(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21857, 21856])).
% 7.13/5.32 tff(21859,plain,
% 7.13/5.32 ((~(v115(constB169) <=> (v116(constB169) | v123(constB169)))) | v115(constB169) | (~(v116(constB169) | v123(constB169)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21860,plain,
% 7.13/5.32 (v115(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21859, 21858, 21844])).
% 7.13/5.32 tff(21861,plain,
% 7.13/5.32 ((v115(constB169) | v124(constB169)) | (~v115(constB169))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21862,plain,
% 7.13/5.32 (v115(constB169) | v124(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21861, 21860])).
% 7.13/5.32 tff(21863,plain,
% 7.13/5.32 ((~(v114(constB169) <=> (v115(constB169) | v124(constB169)))) | v114(constB169) | (~(v115(constB169) | v124(constB169)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21864,plain,
% 7.13/5.32 (v114(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21863, 21862, 21842])).
% 7.13/5.32 tff(21865,plain,
% 7.13/5.32 ((v114(constB169) | v125(constB169)) | (~v114(constB169))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21866,plain,
% 7.13/5.32 (v114(constB169) | v125(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21865, 21864])).
% 7.13/5.32 tff(21867,plain,
% 7.13/5.32 ((~(v113(constB169) <=> (v114(constB169) | v125(constB169)))) | v113(constB169) | (~(v114(constB169) | v125(constB169)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21868,plain,
% 7.13/5.32 (v113(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21867, 21866, 21840])).
% 7.13/5.32 tff(21869,plain,
% 7.13/5.32 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB169)) <=> v111(constB169))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21870,plain,
% 7.13/5.32 ((~v126(constB169)) <=> v111(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21869, 4761])).
% 7.13/5.32 tff(21871,plain,
% 7.13/5.32 ((~((~v126(constB169)) <=> v111(constB169))) | v126(constB169) | v111(constB169)),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21872,plain,
% 7.13/5.32 ((~((~v126(constB169)) <=> v111(constB169))) | v126(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21871, 17291])).
% 7.13/5.32 tff(21873,plain,
% 7.13/5.32 (v126(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21872, 21870])).
% 7.13/5.32 tff(21874,plain,
% 7.13/5.32 ((~((~v113(constB169)) | (~v126(constB169)))) | (~v113(constB169)) | (~v126(constB169))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21875,plain,
% 7.13/5.32 ((~((~v113(constB169)) | (~v126(constB169)))) | (~v113(constB169))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21874, 21873])).
% 7.13/5.32 tff(21876,plain,
% 7.13/5.32 (~((~v113(constB169)) | (~v126(constB169)))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21875, 21868])).
% 7.13/5.32 tff(21877,plain,
% 7.13/5.32 ((~(v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169)))))) | v112(constB169) | ((~v113(constB169)) | (~v126(constB169)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21878,plain,
% 7.13/5.32 (v112(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21877, 21876, 21838])).
% 7.13/5.32 tff(21879,plain,
% 7.13/5.32 ((v111(constB169) | v112(constB169)) | (~v112(constB169))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21880,plain,
% 7.13/5.32 (v111(constB169) | v112(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21879, 21878])).
% 7.13/5.32 tff(21881,plain,
% 7.13/5.32 ((~(v108(constB169) <=> (v111(constB169) | v112(constB169)))) | v108(constB169) | (~(v111(constB169) | v112(constB169)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21882,plain,
% 7.13/5.32 (v108(constB169)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21881, 21880, 21836])).
% 7.13/5.32 tff(21883,plain,
% 7.13/5.32 ((~(v110(constB170) <=> v108(constB169))) | v110(constB170) | (~v108(constB169))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21884,plain,
% 7.13/5.32 (v110(constB170)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21883, 21882, 21834])).
% 7.13/5.32 tff(21885,plain,
% 7.13/5.32 ((~((~v101(constB170)) | (~v110(constB170)))) | (~v101(constB170)) | (~v110(constB170))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21886,plain,
% 7.13/5.32 (~((~v101(constB170)) | (~v110(constB170)))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21885, 21884, 21830])).
% 7.13/5.32 tff(21887,plain,
% 7.13/5.32 ((~(v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170)))))) | v100(constB170) | ((~v101(constB170)) | (~v110(constB170)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21888,plain,
% 7.13/5.32 (v100(constB170)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21887, 21886, 21802])).
% 7.13/5.32 tff(21889,plain,
% 7.13/5.32 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB170)) | (~(((~v90(constB170, 0)) <=> v129(constB170, 0)) | ((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB170)) | (~(((~v90(constB170, 0)) <=> v129(constB170, 0)) | ((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1)))))),
% 7.13/5.32 inference(rewrite,[status(thm)],[])).
% 7.13/5.32 tff(21890,plain,
% 7.13/5.32 (((~v100(constB170)) | (~(((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1)) | ((~v90(constB170, 0)) <=> v129(constB170, 0))))) <=> ((~v100(constB170)) | (~(((~v90(constB170, 0)) <=> v129(constB170, 0)) | ((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1)))))),
% 7.13/5.32 inference(rewrite,[status(thm)],[])).
% 7.13/5.32 tff(21891,plain,
% 7.13/5.32 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB170)) | (~(((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1)) | ((~v90(constB170, 0)) <=> v129(constB170, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB170)) | (~(((~v90(constB170, 0)) <=> v129(constB170, 0)) | ((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1))))))),
% 7.13/5.32 inference(monotonicity,[status(thm)],[21890])).
% 7.13/5.32 tff(21892,plain,
% 7.13/5.32 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB170)) | (~(((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1)) | ((~v90(constB170, 0)) <=> v129(constB170, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB170)) | (~(((~v90(constB170, 0)) <=> v129(constB170, 0)) | ((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1)))))),
% 7.13/5.32 inference(transitivity,[status(thm)],[21891, 21889])).
% 7.13/5.32 tff(21893,plain,
% 7.13/5.32 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB170)) | (~(((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1)) | ((~v90(constB170, 0)) <=> v129(constB170, 0)))))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21894,plain,
% 7.13/5.32 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB170)) | (~(((~v90(constB170, 0)) <=> v129(constB170, 0)) | ((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1))))),
% 7.13/5.32 inference(modus_ponens,[status(thm)],[21893, 21892])).
% 7.13/5.32 tff(21895,plain,
% 7.13/5.32 ((~v100(constB170)) | (~(((~v90(constB170, 0)) <=> v129(constB170, 0)) | ((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1))))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21894, 4794])).
% 7.13/5.32 tff(21896,plain,
% 7.13/5.32 (~(((~v90(constB170, 0)) <=> v129(constB170, 0)) | ((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1)))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21895, 21888])).
% 7.13/5.32 tff(21897,plain,
% 7.13/5.32 ((((~v90(constB170, 0)) <=> v129(constB170, 0)) | ((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1))) | (~((~v90(constB170, 2)) <=> v129(constB170, 2)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21898,plain,
% 7.13/5.32 (~((~v90(constB170, 2)) <=> v129(constB170, 2))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21897, 21896])).
% 7.13/5.32 tff(21899,plain,
% 7.13/5.32 (((~v90(constB170, 2)) <=> v129(constB170, 2)) | (~v90(constB170, 2)) | v129(constB170, 2)),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21900,plain,
% 7.13/5.32 (~v90(constB170, 2)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21899, 21898, 21798])).
% 7.13/5.32 tff(21901,plain,
% 7.13/5.32 (((~v90(constB171, 2)) <=> v90(constB170, 2)) | (~v90(constB171, 2)) | v90(constB170, 2)),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21902,plain,
% 7.13/5.32 (~v90(constB171, 2)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21901, 21900, 17275])).
% 7.13/5.32 tff(21903,plain,
% 7.13/5.32 ((((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 0)) <=> v90(constB170, 0))) | (~((~v90(constB171, 0)) <=> v90(constB170, 0)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21904,plain,
% 7.13/5.32 (~((~v90(constB171, 0)) <=> v90(constB170, 0))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21903, 17273])).
% 7.13/5.32 tff(21905,plain,
% 7.13/5.32 ((((~v129(constB170, 2)) <=> v127(constB169, 2)) | ((~v129(constB170, 1)) <=> v127(constB169, 1)) | ((~v129(constB170, 0)) <=> v127(constB169, 0))) | (~((~v129(constB170, 0)) <=> v127(constB169, 0)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21906,plain,
% 7.13/5.32 (~((~v129(constB170, 0)) <=> v127(constB169, 0))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21905, 17282])).
% 7.13/5.32 tff(21907,plain,
% 7.13/5.32 ((((~v127(constB169, 2)) <=> v130(constB169, 2)) | ((~v127(constB169, 1)) <=> v130(constB169, 1)) | ((~v127(constB169, 0)) <=> v130(constB169, 0))) | (~((~v127(constB169, 0)) <=> v130(constB169, 0)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21908,plain,
% 7.13/5.32 (~((~v127(constB169, 0)) <=> v130(constB169, 0))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21907, 17296])).
% 7.13/5.32 tff(21909,plain,
% 7.13/5.32 ((v130(constB169, 2) | (~v130(constB169, 1)) | (~v130(constB169, 0))) | v130(constB169, 0)),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21910,plain,
% 7.13/5.32 (v130(constB169, 0)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21909, 21792])).
% 7.13/5.32 tff(21911,plain,
% 7.13/5.32 (((~v127(constB169, 0)) <=> v130(constB169, 0)) | v127(constB169, 0) | (~v130(constB169, 0))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21912,plain,
% 7.13/5.32 (v127(constB169, 0)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21911, 21910, 21908])).
% 7.13/5.32 tff(21913,plain,
% 7.13/5.32 (((~v129(constB170, 0)) <=> v127(constB169, 0)) | v129(constB170, 0) | (~v127(constB169, 0))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21914,plain,
% 7.13/5.32 (v129(constB170, 0)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21913, 21912, 21906])).
% 7.13/5.32 tff(21915,plain,
% 7.13/5.32 ((((~v90(constB170, 0)) <=> v129(constB170, 0)) | ((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1))) | (~((~v90(constB170, 0)) <=> v129(constB170, 0)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21916,plain,
% 7.13/5.32 (~((~v90(constB170, 0)) <=> v129(constB170, 0))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21915, 21896])).
% 7.13/5.32 tff(21917,plain,
% 7.13/5.32 (((~v90(constB170, 0)) <=> v129(constB170, 0)) | v90(constB170, 0) | (~v129(constB170, 0))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21918,plain,
% 7.13/5.32 (v90(constB170, 0)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21917, 21916, 21914])).
% 7.13/5.32 tff(21919,plain,
% 7.13/5.32 (((~v90(constB171, 0)) <=> v90(constB170, 0)) | v90(constB171, 0) | (~v90(constB170, 0))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21920,plain,
% 7.13/5.32 (v90(constB171, 0)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21919, 21918, 21904])).
% 7.13/5.32 tff(21921,plain,
% 7.13/5.32 ((((~v90(constB171, 1)) <=> v90(constB170, 1)) | ((~v90(constB171, 2)) <=> v90(constB170, 2)) | ((~v90(constB171, 0)) <=> v90(constB170, 0))) | (~((~v90(constB171, 1)) <=> v90(constB170, 1)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21922,plain,
% 7.13/5.32 (~((~v90(constB171, 1)) <=> v90(constB170, 1))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21921, 17273])).
% 7.13/5.32 tff(21923,plain,
% 7.13/5.32 ((((~v129(constB170, 2)) <=> v127(constB169, 2)) | ((~v129(constB170, 1)) <=> v127(constB169, 1)) | ((~v129(constB170, 0)) <=> v127(constB169, 0))) | (~((~v129(constB170, 1)) <=> v127(constB169, 1)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21924,plain,
% 7.13/5.32 (~((~v129(constB170, 1)) <=> v127(constB169, 1))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21923, 17282])).
% 7.13/5.32 tff(21925,plain,
% 7.13/5.32 ((((~v127(constB169, 2)) <=> v130(constB169, 2)) | ((~v127(constB169, 1)) <=> v130(constB169, 1)) | ((~v127(constB169, 0)) <=> v130(constB169, 0))) | (~((~v127(constB169, 1)) <=> v130(constB169, 1)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21926,plain,
% 7.13/5.32 (~((~v127(constB169, 1)) <=> v130(constB169, 1))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21925, 17296])).
% 7.13/5.32 tff(21927,plain,
% 7.13/5.32 ((v130(constB169, 2) | (~v130(constB169, 1)) | (~v130(constB169, 0))) | v130(constB169, 1)),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21928,plain,
% 7.13/5.32 (v130(constB169, 1)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21927, 21792])).
% 7.13/5.32 tff(21929,plain,
% 7.13/5.32 (((~v127(constB169, 1)) <=> v130(constB169, 1)) | v127(constB169, 1) | (~v130(constB169, 1))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21930,plain,
% 7.13/5.32 (v127(constB169, 1)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21929, 21928, 21926])).
% 7.13/5.32 tff(21931,plain,
% 7.13/5.32 (((~v129(constB170, 1)) <=> v127(constB169, 1)) | v129(constB170, 1) | (~v127(constB169, 1))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21932,plain,
% 7.13/5.32 (v129(constB170, 1)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21931, 21930, 21924])).
% 7.13/5.32 tff(21933,plain,
% 7.13/5.32 ((((~v90(constB170, 0)) <=> v129(constB170, 0)) | ((~v90(constB170, 2)) <=> v129(constB170, 2)) | ((~v90(constB170, 1)) <=> v129(constB170, 1))) | (~((~v90(constB170, 1)) <=> v129(constB170, 1)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21934,plain,
% 7.13/5.32 (~((~v90(constB170, 1)) <=> v129(constB170, 1))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21933, 21896])).
% 7.13/5.32 tff(21935,plain,
% 7.13/5.32 (((~v90(constB170, 1)) <=> v129(constB170, 1)) | v90(constB170, 1) | (~v129(constB170, 1))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21936,plain,
% 7.13/5.32 (v90(constB170, 1)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21935, 21934, 21932])).
% 7.13/5.32 tff(21937,plain,
% 7.13/5.32 (((~v90(constB171, 1)) <=> v90(constB170, 1)) | v90(constB171, 1) | (~v90(constB170, 1))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21938,plain,
% 7.13/5.32 (v90(constB171, 1)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21937, 21936, 21922])).
% 7.13/5.32 tff(21939,plain,
% 7.13/5.32 ((~(v90(constB171, 2) | (~v90(constB171, 1)) | (~v90(constB171, 0)))) | v90(constB171, 2) | (~v90(constB171, 1)) | (~v90(constB171, 0))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21940,plain,
% 7.13/5.32 (~(v90(constB171, 2) | (~v90(constB171, 1)) | (~v90(constB171, 0)))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21939, 21938, 21920, 21902])).
% 7.13/5.32 tff(21941,plain,
% 7.13/5.32 ((~(v122(constB171) <=> (~(v90(constB171, 2) | (~v90(constB171, 1)) | (~v90(constB171, 0)))))) | v122(constB171) | (v90(constB171, 2) | (~v90(constB171, 1)) | (~v90(constB171, 0)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21942,plain,
% 7.13/5.32 (v122(constB171)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21941, 21940, 17239])).
% 7.13/5.32 tff(21943,plain,
% 7.13/5.32 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB171)) | (~(v130(constB171, 1) | v130(constB171, 0) | (~v130(constB171, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB171)) | (~(v130(constB171, 1) | v130(constB171, 0) | (~v130(constB171, 2)))))),
% 7.13/5.32 inference(rewrite,[status(thm)],[])).
% 7.13/5.32 tff(21944,plain,
% 7.13/5.32 (((~v122(constB171)) | (~(v130(constB171, 0) | v130(constB171, 1) | (~v130(constB171, 2))))) <=> ((~v122(constB171)) | (~(v130(constB171, 1) | v130(constB171, 0) | (~v130(constB171, 2)))))),
% 7.13/5.32 inference(rewrite,[status(thm)],[])).
% 7.13/5.32 tff(21945,plain,
% 7.13/5.32 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB171)) | (~(v130(constB171, 0) | v130(constB171, 1) | (~v130(constB171, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB171)) | (~(v130(constB171, 1) | v130(constB171, 0) | (~v130(constB171, 2))))))),
% 7.13/5.32 inference(monotonicity,[status(thm)],[21944])).
% 7.13/5.32 tff(21946,plain,
% 7.13/5.32 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB171)) | (~(v130(constB171, 0) | v130(constB171, 1) | (~v130(constB171, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB171)) | (~(v130(constB171, 1) | v130(constB171, 0) | (~v130(constB171, 2)))))),
% 7.13/5.32 inference(transitivity,[status(thm)],[21945, 21943])).
% 7.13/5.32 tff(21947,plain,
% 7.13/5.32 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB171)) | (~(v130(constB171, 0) | v130(constB171, 1) | (~v130(constB171, 2)))))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21948,plain,
% 7.13/5.32 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB171)) | (~(v130(constB171, 1) | v130(constB171, 0) | (~v130(constB171, 2))))),
% 7.13/5.32 inference(modus_ponens,[status(thm)],[21947, 21946])).
% 7.13/5.32 tff(21949,plain,
% 7.13/5.32 ((~v122(constB171)) | (~(v130(constB171, 1) | v130(constB171, 0) | (~v130(constB171, 2))))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21948, 5588])).
% 7.13/5.32 tff(21950,plain,
% 7.13/5.32 (~(v130(constB171, 1) | v130(constB171, 0) | (~v130(constB171, 2)))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21949, 21942])).
% 7.13/5.32 tff(21951,plain,
% 7.13/5.32 ((v130(constB171, 1) | v130(constB171, 0) | (~v130(constB171, 2))) | v130(constB171, 2)),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21952,plain,
% 7.13/5.32 (v130(constB171, 2)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21951, 21950])).
% 7.13/5.32 tff(21953,plain,
% 7.13/5.32 (((~v127(constB171, 2)) <=> v130(constB171, 2)) | v127(constB171, 2) | (~v130(constB171, 2))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21954,plain,
% 7.13/5.32 (v127(constB171, 2)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21953, 21952, 17232])).
% 7.13/5.32 tff(21955,plain,
% 7.13/5.32 (((~v129(constB172, 2)) <=> v127(constB171, 2)) | v129(constB172, 2) | (~v127(constB171, 2))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21956,plain,
% 7.13/5.32 (v129(constB172, 2)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21955, 21954, 17218])).
% 7.13/5.32 tff(21957,plain,
% 7.13/5.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))))),
% 7.13/5.32 inference(rewrite,[status(thm)],[])).
% 7.13/5.32 tff(21958,plain,
% 7.13/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21959,plain,
% 7.13/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172)))))),
% 7.13/5.32 inference(modus_ponens,[status(thm)],[21958, 21957])).
% 7.13/5.32 tff(21960,plain,
% 7.13/5.32 (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21959, 17212, 273])).
% 7.13/5.32 tff(21961,plain,
% 7.13/5.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 7.13/5.32 inference(rewrite,[status(thm)],[])).
% 7.13/5.32 tff(21962,plain,
% 7.13/5.32 (((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172)))))) <=> ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 7.13/5.32 inference(rewrite,[status(thm)],[])).
% 7.13/5.32 tff(21963,plain,
% 7.13/5.32 (((~![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) <=> (~((~v1(constB172)) | (~v102(constB172)))))))),
% 7.13/5.32 inference(monotonicity,[status(thm)],[21962])).
% 7.13/5.32 tff(21964,plain,
% 7.13/5.32 (((~![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) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 7.13/5.32 inference(transitivity,[status(thm)],[21963, 21961])).
% 7.13/5.32 tff(21965,plain,
% 7.13/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172))))))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21966,plain,
% 7.13/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))),
% 7.13/5.32 inference(modus_ponens,[status(thm)],[21965, 21964])).
% 7.13/5.32 tff(21967,plain,
% 7.13/5.32 (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21966, 17212, 293])).
% 7.13/5.32 tff(21968,plain,
% 7.13/5.32 (((~![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)))),
% 7.13/5.32 inference(rewrite,[status(thm)],[])).
% 7.13/5.32 tff(21969,plain,
% 7.13/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172)))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21970,plain,
% 7.13/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172))),
% 7.13/5.32 inference(modus_ponens,[status(thm)],[21969, 21968])).
% 7.13/5.32 tff(21971,plain,
% 7.13/5.32 ((~v102(constB172)) <=> v104(constB172)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21970, 17212, 4609])).
% 7.13/5.32 tff(21972,plain,
% 7.13/5.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171)))),
% 7.13/5.32 inference(rewrite,[status(thm)],[])).
% 7.13/5.32 tff(21973,plain,
% 7.13/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171)))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21974,plain,
% 7.13/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171))),
% 7.13/5.32 inference(modus_ponens,[status(thm)],[21973, 21972])).
% 7.13/5.32 tff(21975,plain,
% 7.13/5.32 (v104(constB172) <=> v1(constB171)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21974, 17212, 4623])).
% 7.13/5.32 tff(21976,plain,
% 7.13/5.32 ((~(v104(constB172) <=> v1(constB171))) | (~v104(constB172)) | v1(constB171)),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21977,plain,
% 7.13/5.32 ((~(v104(constB172) <=> v1(constB171))) | (~v104(constB172))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21976, 17256])).
% 7.13/5.32 tff(21978,plain,
% 7.13/5.32 (~v104(constB172)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21977, 21975])).
% 7.13/5.32 tff(21979,plain,
% 7.13/5.32 ((~((~v102(constB172)) <=> v104(constB172))) | v102(constB172) | v104(constB172)),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21980,plain,
% 7.13/5.32 (v102(constB172)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21979, 21978, 21971])).
% 7.13/5.32 tff(21981,plain,
% 7.13/5.32 (v1(constB172) <=> v1(constB172)),
% 7.13/5.32 inference(rewrite,[status(thm)],[])).
% 7.13/5.32 tff(21982,axiom,(v1(constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_172')).
% 7.13/5.32 tff(21983,plain,
% 7.13/5.32 (v1(constB172)),
% 7.13/5.32 inference(modus_ponens,[status(thm)],[21982, 21981])).
% 7.13/5.32 tff(21984,plain,
% 7.13/5.32 ((~((~v1(constB172)) | (~v102(constB172)))) | (~v1(constB172)) | (~v102(constB172))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21985,plain,
% 7.13/5.32 ((~((~v1(constB172)) | (~v102(constB172)))) | (~v102(constB172))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21984, 21983])).
% 7.13/5.32 tff(21986,plain,
% 7.13/5.32 (~((~v1(constB172)) | (~v102(constB172)))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21985, 21980])).
% 7.13/5.32 tff(21987,plain,
% 7.13/5.32 ((~(v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))) | v101(constB172) | ((~v1(constB172)) | (~v102(constB172)))),
% 7.13/5.32 inference(tautology,[status(thm)],[])).
% 7.13/5.32 tff(21988,plain,
% 7.13/5.32 (v101(constB172)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21987, 21986, 21967])).
% 7.13/5.32 tff(21989,plain,
% 7.13/5.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171)))),
% 7.13/5.32 inference(rewrite,[status(thm)],[])).
% 7.13/5.32 tff(21990,plain,
% 7.13/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171)))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21991,plain,
% 7.13/5.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171))),
% 7.13/5.32 inference(modus_ponens,[status(thm)],[21990, 21989])).
% 7.13/5.32 tff(21992,plain,
% 7.13/5.32 (v110(constB172) <=> v108(constB171)),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21991, 17212, 4650])).
% 7.13/5.32 tff(21993,plain,
% 7.13/5.32 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB171) <=> (v111(constB171) | v112(constB171)))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21994,plain,
% 7.13/5.32 (v108(constB171) <=> (v111(constB171) | v112(constB171))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21993, 4661])).
% 7.13/5.32 tff(21995,plain,
% 7.13/5.32 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171)))))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21996,plain,
% 7.13/5.32 (v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171))))),
% 7.13/5.32 inference(unit_resolution,[status(thm)],[21995, 4673])).
% 7.13/5.32 tff(21997,plain,
% 7.13/5.32 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB171) <=> (v114(constB171) | v125(constB171)))),
% 7.13/5.32 inference(quant_inst,[status(thm)],[])).
% 7.13/5.32 tff(21998,plain,
% 7.13/5.32 (v113(constB171) <=> (v114(constB171) | v125(constB171))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[21997, 4682])).
% 7.13/5.33 tff(21999,plain,
% 7.13/5.33 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB171) <=> (v115(constB171) | v124(constB171)))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22000,plain,
% 7.13/5.33 (v114(constB171) <=> (v115(constB171) | v124(constB171))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[21999, 4691])).
% 7.13/5.33 tff(22001,plain,
% 7.13/5.33 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB171) <=> (v116(constB171) | v123(constB171)))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22002,plain,
% 7.13/5.33 (v115(constB171) <=> (v116(constB171) | v123(constB171))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22001, 4700])).
% 7.13/5.33 tff(22003,plain,
% 7.13/5.33 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB171) <=> (v117(constB171) | v122(constB171)))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22004,plain,
% 7.13/5.33 (v116(constB171) <=> (v117(constB171) | v122(constB171))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22003, 4709])).
% 7.13/5.33 tff(22005,plain,
% 7.13/5.33 ((v117(constB171) | v122(constB171)) | (~v122(constB171))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22006,plain,
% 7.13/5.33 (v117(constB171) | v122(constB171)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22005, 21942])).
% 7.13/5.33 tff(22007,plain,
% 7.13/5.33 ((~(v116(constB171) <=> (v117(constB171) | v122(constB171)))) | v116(constB171) | (~(v117(constB171) | v122(constB171)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22008,plain,
% 7.13/5.33 (v116(constB171)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22007, 22006, 22004])).
% 7.13/5.33 tff(22009,plain,
% 7.13/5.33 ((v116(constB171) | v123(constB171)) | (~v116(constB171))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22010,plain,
% 7.13/5.33 (v116(constB171) | v123(constB171)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22009, 22008])).
% 7.13/5.33 tff(22011,plain,
% 7.13/5.33 ((~(v115(constB171) <=> (v116(constB171) | v123(constB171)))) | v115(constB171) | (~(v116(constB171) | v123(constB171)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22012,plain,
% 7.13/5.33 (v115(constB171)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22011, 22010, 22002])).
% 7.13/5.33 tff(22013,plain,
% 7.13/5.33 ((v115(constB171) | v124(constB171)) | (~v115(constB171))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22014,plain,
% 7.13/5.33 (v115(constB171) | v124(constB171)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22013, 22012])).
% 7.13/5.33 tff(22015,plain,
% 7.13/5.33 ((~(v114(constB171) <=> (v115(constB171) | v124(constB171)))) | v114(constB171) | (~(v115(constB171) | v124(constB171)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22016,plain,
% 7.13/5.33 (v114(constB171)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22015, 22014, 22000])).
% 7.13/5.33 tff(22017,plain,
% 7.13/5.33 ((v114(constB171) | v125(constB171)) | (~v114(constB171))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22018,plain,
% 7.13/5.33 (v114(constB171) | v125(constB171)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22017, 22016])).
% 7.13/5.33 tff(22019,plain,
% 7.13/5.33 ((~(v113(constB171) <=> (v114(constB171) | v125(constB171)))) | v113(constB171) | (~(v114(constB171) | v125(constB171)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22020,plain,
% 7.13/5.33 (v113(constB171)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22019, 22018, 21998])).
% 7.13/5.33 tff(22021,plain,
% 7.13/5.33 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB171)) <=> v111(constB171))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22022,plain,
% 7.13/5.33 ((~v126(constB171)) <=> v111(constB171)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22021, 4761])).
% 7.13/5.33 tff(22023,plain,
% 7.13/5.33 ((~((~v126(constB171)) <=> v111(constB171))) | v126(constB171) | v111(constB171)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22024,plain,
% 7.13/5.33 ((~((~v126(constB171)) <=> v111(constB171))) | v126(constB171)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22023, 17225])).
% 7.13/5.33 tff(22025,plain,
% 7.13/5.33 (v126(constB171)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22024, 22022])).
% 7.13/5.33 tff(22026,plain,
% 7.13/5.33 ((~((~v113(constB171)) | (~v126(constB171)))) | (~v113(constB171)) | (~v126(constB171))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22027,plain,
% 7.13/5.33 ((~((~v113(constB171)) | (~v126(constB171)))) | (~v113(constB171))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22026, 22025])).
% 7.13/5.33 tff(22028,plain,
% 7.13/5.33 (~((~v113(constB171)) | (~v126(constB171)))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22027, 22020])).
% 7.13/5.33 tff(22029,plain,
% 7.13/5.33 ((~(v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171)))))) | v112(constB171) | ((~v113(constB171)) | (~v126(constB171)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22030,plain,
% 7.13/5.33 (v112(constB171)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22029, 22028, 21996])).
% 7.13/5.33 tff(22031,plain,
% 7.13/5.33 ((v111(constB171) | v112(constB171)) | (~v112(constB171))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22032,plain,
% 7.13/5.33 (v111(constB171) | v112(constB171)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22031, 22030])).
% 7.13/5.33 tff(22033,plain,
% 7.13/5.33 ((~(v108(constB171) <=> (v111(constB171) | v112(constB171)))) | v108(constB171) | (~(v111(constB171) | v112(constB171)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22034,plain,
% 7.13/5.33 (v108(constB171)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22033, 22032, 21994])).
% 7.13/5.33 tff(22035,plain,
% 7.13/5.33 ((~(v110(constB172) <=> v108(constB171))) | v110(constB172) | (~v108(constB171))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22036,plain,
% 7.13/5.33 (v110(constB172)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22035, 22034, 21992])).
% 7.13/5.33 tff(22037,plain,
% 7.13/5.33 ((~((~v101(constB172)) | (~v110(constB172)))) | (~v101(constB172)) | (~v110(constB172))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22038,plain,
% 7.13/5.33 (~((~v101(constB172)) | (~v110(constB172)))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22037, 22036, 21988])).
% 7.13/5.33 tff(22039,plain,
% 7.13/5.33 ((~(v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172)))))) | v100(constB172) | ((~v101(constB172)) | (~v110(constB172)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22040,plain,
% 7.13/5.33 (v100(constB172)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22039, 22038, 21960])).
% 7.13/5.33 tff(22041,plain,
% 7.13/5.33 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB172)) | (~(((~v90(constB172, 2)) <=> v129(constB172, 2)) | ((~v90(constB172, 1)) <=> v129(constB172, 1)) | ((~v90(constB172, 0)) <=> v129(constB172, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB172)) | (~(((~v90(constB172, 2)) <=> v129(constB172, 2)) | ((~v90(constB172, 1)) <=> v129(constB172, 1)) | ((~v90(constB172, 0)) <=> v129(constB172, 0)))))),
% 7.13/5.33 inference(rewrite,[status(thm)],[])).
% 7.13/5.33 tff(22042,plain,
% 7.13/5.33 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB172)) | (~(((~v90(constB172, 2)) <=> v129(constB172, 2)) | ((~v90(constB172, 1)) <=> v129(constB172, 1)) | ((~v90(constB172, 0)) <=> v129(constB172, 0)))))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22043,plain,
% 7.13/5.33 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB172)) | (~(((~v90(constB172, 2)) <=> v129(constB172, 2)) | ((~v90(constB172, 1)) <=> v129(constB172, 1)) | ((~v90(constB172, 0)) <=> v129(constB172, 0))))),
% 7.13/5.33 inference(modus_ponens,[status(thm)],[22042, 22041])).
% 7.13/5.33 tff(22044,plain,
% 7.13/5.33 ((~v100(constB172)) | (~(((~v90(constB172, 2)) <=> v129(constB172, 2)) | ((~v90(constB172, 1)) <=> v129(constB172, 1)) | ((~v90(constB172, 0)) <=> v129(constB172, 0))))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22043, 4794])).
% 7.13/5.33 tff(22045,plain,
% 7.13/5.33 (~(((~v90(constB172, 2)) <=> v129(constB172, 2)) | ((~v90(constB172, 1)) <=> v129(constB172, 1)) | ((~v90(constB172, 0)) <=> v129(constB172, 0)))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22044, 22040])).
% 7.13/5.33 tff(22046,plain,
% 7.13/5.33 ((((~v90(constB172, 2)) <=> v129(constB172, 2)) | ((~v90(constB172, 1)) <=> v129(constB172, 1)) | ((~v90(constB172, 0)) <=> v129(constB172, 0))) | (~((~v90(constB172, 2)) <=> v129(constB172, 2)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22047,plain,
% 7.13/5.33 (~((~v90(constB172, 2)) <=> v129(constB172, 2))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22046, 22045])).
% 7.13/5.33 tff(22048,plain,
% 7.13/5.33 (((~v90(constB172, 2)) <=> v129(constB172, 2)) | v90(constB172, 2) | (~v129(constB172, 2))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22049,plain,
% 7.13/5.33 (v90(constB172, 2)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22048, 22047, 21956])).
% 7.13/5.33 tff(22050,plain,
% 7.13/5.33 (((~v90(constB173, 2)) <=> v90(constB172, 2)) | v90(constB173, 2) | (~v90(constB172, 2))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22051,plain,
% 7.13/5.33 (v90(constB173, 2)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22050, 22049, 17209])).
% 7.13/5.33 tff(22052,plain,
% 7.13/5.33 ((((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 0)) <=> v90(constB172, 0))) | (~((~v90(constB173, 0)) <=> v90(constB172, 0)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22053,plain,
% 7.13/5.33 (~((~v90(constB173, 0)) <=> v90(constB172, 0))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22052, 17207])).
% 7.13/5.33 tff(22054,plain,
% 7.13/5.33 ((((~v129(constB172, 2)) <=> v127(constB171, 2)) | ((~v129(constB172, 1)) <=> v127(constB171, 1)) | ((~v129(constB172, 0)) <=> v127(constB171, 0))) | (~((~v129(constB172, 0)) <=> v127(constB171, 0)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22055,plain,
% 7.13/5.33 (~((~v129(constB172, 0)) <=> v127(constB171, 0))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22054, 17216])).
% 7.13/5.33 tff(22056,plain,
% 7.13/5.33 ((((~v127(constB171, 2)) <=> v130(constB171, 2)) | ((~v127(constB171, 1)) <=> v130(constB171, 1)) | ((~v127(constB171, 0)) <=> v130(constB171, 0))) | (~((~v127(constB171, 0)) <=> v130(constB171, 0)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22057,plain,
% 7.13/5.33 (~((~v127(constB171, 0)) <=> v130(constB171, 0))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22056, 17230])).
% 7.13/5.33 tff(22058,plain,
% 7.13/5.33 ((v130(constB171, 1) | v130(constB171, 0) | (~v130(constB171, 2))) | (~v130(constB171, 0))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22059,plain,
% 7.13/5.33 (~v130(constB171, 0)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22058, 21950])).
% 7.13/5.33 tff(22060,plain,
% 7.13/5.33 (((~v127(constB171, 0)) <=> v130(constB171, 0)) | (~v127(constB171, 0)) | v130(constB171, 0)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22061,plain,
% 7.13/5.33 (~v127(constB171, 0)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22060, 22059, 22057])).
% 7.13/5.33 tff(22062,plain,
% 7.13/5.33 (((~v129(constB172, 0)) <=> v127(constB171, 0)) | (~v129(constB172, 0)) | v127(constB171, 0)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22063,plain,
% 7.13/5.33 (~v129(constB172, 0)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22062, 22061, 22055])).
% 7.13/5.33 tff(22064,plain,
% 7.13/5.33 ((((~v90(constB172, 2)) <=> v129(constB172, 2)) | ((~v90(constB172, 1)) <=> v129(constB172, 1)) | ((~v90(constB172, 0)) <=> v129(constB172, 0))) | (~((~v90(constB172, 0)) <=> v129(constB172, 0)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22065,plain,
% 7.13/5.33 (~((~v90(constB172, 0)) <=> v129(constB172, 0))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22064, 22045])).
% 7.13/5.33 tff(22066,plain,
% 7.13/5.33 (((~v90(constB172, 0)) <=> v129(constB172, 0)) | (~v90(constB172, 0)) | v129(constB172, 0)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22067,plain,
% 7.13/5.33 (~v90(constB172, 0)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22066, 22065, 22063])).
% 7.13/5.33 tff(22068,plain,
% 7.13/5.33 (((~v90(constB173, 0)) <=> v90(constB172, 0)) | (~v90(constB173, 0)) | v90(constB172, 0)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22069,plain,
% 7.13/5.33 (~v90(constB173, 0)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22068, 22067, 22053])).
% 7.13/5.33 tff(22070,plain,
% 7.13/5.33 ((((~v90(constB173, 1)) <=> v90(constB172, 1)) | ((~v90(constB173, 2)) <=> v90(constB172, 2)) | ((~v90(constB173, 0)) <=> v90(constB172, 0))) | (~((~v90(constB173, 1)) <=> v90(constB172, 1)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22071,plain,
% 7.13/5.33 (~((~v90(constB173, 1)) <=> v90(constB172, 1))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22070, 17207])).
% 7.13/5.33 tff(22072,plain,
% 7.13/5.33 ((((~v129(constB172, 2)) <=> v127(constB171, 2)) | ((~v129(constB172, 1)) <=> v127(constB171, 1)) | ((~v129(constB172, 0)) <=> v127(constB171, 0))) | (~((~v129(constB172, 1)) <=> v127(constB171, 1)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22073,plain,
% 7.13/5.33 (~((~v129(constB172, 1)) <=> v127(constB171, 1))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22072, 17216])).
% 7.13/5.33 tff(22074,plain,
% 7.13/5.33 ((((~v127(constB171, 2)) <=> v130(constB171, 2)) | ((~v127(constB171, 1)) <=> v130(constB171, 1)) | ((~v127(constB171, 0)) <=> v130(constB171, 0))) | (~((~v127(constB171, 1)) <=> v130(constB171, 1)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22075,plain,
% 7.13/5.33 (~((~v127(constB171, 1)) <=> v130(constB171, 1))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22074, 17230])).
% 7.13/5.33 tff(22076,plain,
% 7.13/5.33 ((v130(constB171, 1) | v130(constB171, 0) | (~v130(constB171, 2))) | (~v130(constB171, 1))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22077,plain,
% 7.13/5.33 (~v130(constB171, 1)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22076, 21950])).
% 7.13/5.33 tff(22078,plain,
% 7.13/5.33 (((~v127(constB171, 1)) <=> v130(constB171, 1)) | (~v127(constB171, 1)) | v130(constB171, 1)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22079,plain,
% 7.13/5.33 (~v127(constB171, 1)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22078, 22077, 22075])).
% 7.13/5.33 tff(22080,plain,
% 7.13/5.33 (((~v129(constB172, 1)) <=> v127(constB171, 1)) | (~v129(constB172, 1)) | v127(constB171, 1)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22081,plain,
% 7.13/5.33 (~v129(constB172, 1)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22080, 22079, 22073])).
% 7.13/5.33 tff(22082,plain,
% 7.13/5.33 ((((~v90(constB172, 2)) <=> v129(constB172, 2)) | ((~v90(constB172, 1)) <=> v129(constB172, 1)) | ((~v90(constB172, 0)) <=> v129(constB172, 0))) | (~((~v90(constB172, 1)) <=> v129(constB172, 1)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22083,plain,
% 7.13/5.33 (~((~v90(constB172, 1)) <=> v129(constB172, 1))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22082, 22045])).
% 7.13/5.33 tff(22084,plain,
% 7.13/5.33 (((~v90(constB172, 1)) <=> v129(constB172, 1)) | (~v90(constB172, 1)) | v129(constB172, 1)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22085,plain,
% 7.13/5.33 (~v90(constB172, 1)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22084, 22083, 22081])).
% 7.13/5.33 tff(22086,plain,
% 7.13/5.33 (((~v90(constB173, 1)) <=> v90(constB172, 1)) | (~v90(constB173, 1)) | v90(constB172, 1)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22087,plain,
% 7.13/5.33 (~v90(constB173, 1)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22086, 22085, 22071])).
% 7.13/5.33 tff(22088,plain,
% 7.13/5.33 ((~(v90(constB173, 1) | v90(constB173, 0) | (~v90(constB173, 2)))) | v90(constB173, 1) | v90(constB173, 0) | (~v90(constB173, 2))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22089,plain,
% 7.13/5.33 (~(v90(constB173, 1) | v90(constB173, 0) | (~v90(constB173, 2)))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22088, 22087, 22069, 22051])).
% 7.13/5.33 tff(22090,plain,
% 7.13/5.33 ((~(v123(constB173) <=> (~(v90(constB173, 1) | v90(constB173, 0) | (~v90(constB173, 2)))))) | v123(constB173) | (v90(constB173, 1) | v90(constB173, 0) | (~v90(constB173, 2)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22091,plain,
% 7.13/5.33 (v123(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22090, 22089, 17173])).
% 7.13/5.33 tff(22092,plain,
% 7.13/5.33 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB173)) | (~(v130(constB173, 0) | (~v130(constB173, 2)) | (~v130(constB173, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB173)) | (~(v130(constB173, 0) | (~v130(constB173, 2)) | (~v130(constB173, 1)))))),
% 7.13/5.33 inference(rewrite,[status(thm)],[])).
% 7.13/5.33 tff(22093,plain,
% 7.13/5.33 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB173)) | (~(v130(constB173, 0) | (~v130(constB173, 2)) | (~v130(constB173, 1)))))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22094,plain,
% 7.13/5.33 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB173)) | (~(v130(constB173, 0) | (~v130(constB173, 2)) | (~v130(constB173, 1))))),
% 7.13/5.33 inference(modus_ponens,[status(thm)],[22093, 22092])).
% 7.13/5.33 tff(22095,plain,
% 7.13/5.33 ((~v123(constB173)) | (~(v130(constB173, 0) | (~v130(constB173, 2)) | (~v130(constB173, 1))))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22094, 4861])).
% 7.13/5.33 tff(22096,plain,
% 7.13/5.33 (~(v130(constB173, 0) | (~v130(constB173, 2)) | (~v130(constB173, 1)))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22095, 22091])).
% 7.13/5.33 tff(22097,plain,
% 7.13/5.33 ((v130(constB173, 0) | (~v130(constB173, 2)) | (~v130(constB173, 1))) | (~v130(constB173, 0))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22098,plain,
% 7.13/5.33 (~v130(constB173, 0)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22097, 22096])).
% 7.13/5.33 tff(22099,plain,
% 7.13/5.33 (((~v127(constB173, 0)) <=> v130(constB173, 0)) | (~v127(constB173, 0)) | v130(constB173, 0)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22100,plain,
% 7.13/5.33 (~v127(constB173, 0)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22099, 22098, 17166])).
% 7.13/5.33 tff(22101,plain,
% 7.13/5.33 (((~v129(constB174, 0)) <=> v127(constB173, 0)) | (~v129(constB174, 0)) | v127(constB173, 0)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22102,plain,
% 7.13/5.33 (~v129(constB174, 0)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22101, 22100, 17152])).
% 7.13/5.33 tff(22103,plain,
% 7.13/5.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))))),
% 7.13/5.33 inference(rewrite,[status(thm)],[])).
% 7.13/5.33 tff(22104,plain,
% 7.13/5.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22105,plain,
% 7.13/5.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174)))))),
% 7.13/5.33 inference(modus_ponens,[status(thm)],[22104, 22103])).
% 7.13/5.33 tff(22106,plain,
% 7.13/5.33 (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22105, 17146, 273])).
% 7.13/5.33 tff(22107,plain,
% 7.13/5.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 7.13/5.33 inference(rewrite,[status(thm)],[])).
% 7.13/5.33 tff(22108,plain,
% 7.13/5.33 (((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174)))))) <=> ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 7.13/5.33 inference(rewrite,[status(thm)],[])).
% 7.13/5.33 tff(22109,plain,
% 7.13/5.33 (((~![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) <=> (~((~v1(constB174)) | (~v102(constB174)))))))),
% 7.13/5.33 inference(monotonicity,[status(thm)],[22108])).
% 7.13/5.33 tff(22110,plain,
% 7.13/5.33 (((~![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) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 7.13/5.33 inference(transitivity,[status(thm)],[22109, 22107])).
% 7.13/5.33 tff(22111,plain,
% 7.13/5.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174))))))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22112,plain,
% 7.13/5.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))),
% 7.13/5.33 inference(modus_ponens,[status(thm)],[22111, 22110])).
% 7.13/5.33 tff(22113,plain,
% 7.13/5.33 (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22112, 17146, 293])).
% 7.13/5.33 tff(22114,plain,
% 7.13/5.33 (((~![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)))),
% 7.13/5.33 inference(rewrite,[status(thm)],[])).
% 7.13/5.33 tff(22115,plain,
% 7.13/5.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174)))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22116,plain,
% 7.13/5.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174))),
% 7.13/5.33 inference(modus_ponens,[status(thm)],[22115, 22114])).
% 7.13/5.33 tff(22117,plain,
% 7.13/5.33 ((~v102(constB174)) <=> v104(constB174)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22116, 17146, 4609])).
% 7.13/5.33 tff(22118,plain,
% 7.13/5.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173)))),
% 7.13/5.33 inference(rewrite,[status(thm)],[])).
% 7.13/5.33 tff(22119,plain,
% 7.13/5.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173)))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22120,plain,
% 7.13/5.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173))),
% 7.13/5.33 inference(modus_ponens,[status(thm)],[22119, 22118])).
% 7.13/5.33 tff(22121,plain,
% 7.13/5.33 (v104(constB174) <=> v1(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22120, 17146, 4623])).
% 7.13/5.33 tff(22122,plain,
% 7.13/5.33 ((~(v104(constB174) <=> v1(constB173))) | (~v104(constB174)) | v1(constB173)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22123,plain,
% 7.13/5.33 ((~(v104(constB174) <=> v1(constB173))) | (~v104(constB174))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22122, 17190])).
% 7.13/5.33 tff(22124,plain,
% 7.13/5.33 (~v104(constB174)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22123, 22121])).
% 7.13/5.33 tff(22125,plain,
% 7.13/5.33 ((~((~v102(constB174)) <=> v104(constB174))) | v102(constB174) | v104(constB174)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22126,plain,
% 7.13/5.33 (v102(constB174)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22125, 22124, 22117])).
% 7.13/5.33 tff(22127,plain,
% 7.13/5.33 ((~((~v1(constB174)) | (~v102(constB174)))) | (~v1(constB174)) | (~v102(constB174))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22128,plain,
% 7.13/5.33 ((~((~v1(constB174)) | (~v102(constB174)))) | (~v102(constB174))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22127, 15954])).
% 7.13/5.33 tff(22129,plain,
% 7.13/5.33 (~((~v1(constB174)) | (~v102(constB174)))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22128, 22126])).
% 7.13/5.33 tff(22130,plain,
% 7.13/5.33 ((~(v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))) | v101(constB174) | ((~v1(constB174)) | (~v102(constB174)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22131,plain,
% 7.13/5.33 (v101(constB174)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22130, 22129, 22113])).
% 7.13/5.33 tff(22132,plain,
% 7.13/5.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173)))),
% 7.13/5.33 inference(rewrite,[status(thm)],[])).
% 7.13/5.33 tff(22133,plain,
% 7.13/5.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173)))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22134,plain,
% 7.13/5.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173))),
% 7.13/5.33 inference(modus_ponens,[status(thm)],[22133, 22132])).
% 7.13/5.33 tff(22135,plain,
% 7.13/5.33 (v110(constB174) <=> v108(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22134, 17146, 4650])).
% 7.13/5.33 tff(22136,plain,
% 7.13/5.33 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB173) <=> (v111(constB173) | v112(constB173)))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22137,plain,
% 7.13/5.33 (v108(constB173) <=> (v111(constB173) | v112(constB173))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22136, 4661])).
% 7.13/5.33 tff(22138,plain,
% 7.13/5.33 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173)))))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22139,plain,
% 7.13/5.33 (v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173))))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22138, 4673])).
% 7.13/5.33 tff(22140,plain,
% 7.13/5.33 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB173) <=> (v114(constB173) | v125(constB173)))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22141,plain,
% 7.13/5.33 (v113(constB173) <=> (v114(constB173) | v125(constB173))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22140, 4682])).
% 7.13/5.33 tff(22142,plain,
% 7.13/5.33 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB173) <=> (v115(constB173) | v124(constB173)))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22143,plain,
% 7.13/5.33 (v114(constB173) <=> (v115(constB173) | v124(constB173))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22142, 4691])).
% 7.13/5.33 tff(22144,plain,
% 7.13/5.33 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB173) <=> (v116(constB173) | v123(constB173)))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22145,plain,
% 7.13/5.33 (v115(constB173) <=> (v116(constB173) | v123(constB173))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22144, 4700])).
% 7.13/5.33 tff(22146,plain,
% 7.13/5.33 ((v116(constB173) | v123(constB173)) | (~v123(constB173))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22147,plain,
% 7.13/5.33 (v116(constB173) | v123(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22146, 22091])).
% 7.13/5.33 tff(22148,plain,
% 7.13/5.33 ((~(v115(constB173) <=> (v116(constB173) | v123(constB173)))) | v115(constB173) | (~(v116(constB173) | v123(constB173)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22149,plain,
% 7.13/5.33 (v115(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22148, 22147, 22145])).
% 7.13/5.33 tff(22150,plain,
% 7.13/5.33 ((v115(constB173) | v124(constB173)) | (~v115(constB173))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22151,plain,
% 7.13/5.33 (v115(constB173) | v124(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22150, 22149])).
% 7.13/5.33 tff(22152,plain,
% 7.13/5.33 ((~(v114(constB173) <=> (v115(constB173) | v124(constB173)))) | v114(constB173) | (~(v115(constB173) | v124(constB173)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22153,plain,
% 7.13/5.33 (v114(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22152, 22151, 22143])).
% 7.13/5.33 tff(22154,plain,
% 7.13/5.33 ((v114(constB173) | v125(constB173)) | (~v114(constB173))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22155,plain,
% 7.13/5.33 (v114(constB173) | v125(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22154, 22153])).
% 7.13/5.33 tff(22156,plain,
% 7.13/5.33 ((~(v113(constB173) <=> (v114(constB173) | v125(constB173)))) | v113(constB173) | (~(v114(constB173) | v125(constB173)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22157,plain,
% 7.13/5.33 (v113(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22156, 22155, 22141])).
% 7.13/5.33 tff(22158,plain,
% 7.13/5.33 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB173)) <=> v111(constB173))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22159,plain,
% 7.13/5.33 ((~v126(constB173)) <=> v111(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22158, 4761])).
% 7.13/5.33 tff(22160,plain,
% 7.13/5.33 ((~((~v126(constB173)) <=> v111(constB173))) | v126(constB173) | v111(constB173)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22161,plain,
% 7.13/5.33 ((~((~v126(constB173)) <=> v111(constB173))) | v126(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22160, 17159])).
% 7.13/5.33 tff(22162,plain,
% 7.13/5.33 (v126(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22161, 22159])).
% 7.13/5.33 tff(22163,plain,
% 7.13/5.33 ((~((~v113(constB173)) | (~v126(constB173)))) | (~v113(constB173)) | (~v126(constB173))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22164,plain,
% 7.13/5.33 ((~((~v113(constB173)) | (~v126(constB173)))) | (~v113(constB173))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22163, 22162])).
% 7.13/5.33 tff(22165,plain,
% 7.13/5.33 (~((~v113(constB173)) | (~v126(constB173)))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22164, 22157])).
% 7.13/5.33 tff(22166,plain,
% 7.13/5.33 ((~(v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173)))))) | v112(constB173) | ((~v113(constB173)) | (~v126(constB173)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22167,plain,
% 7.13/5.33 (v112(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22166, 22165, 22139])).
% 7.13/5.33 tff(22168,plain,
% 7.13/5.33 ((v111(constB173) | v112(constB173)) | (~v112(constB173))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22169,plain,
% 7.13/5.33 (v111(constB173) | v112(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22168, 22167])).
% 7.13/5.33 tff(22170,plain,
% 7.13/5.33 ((~(v108(constB173) <=> (v111(constB173) | v112(constB173)))) | v108(constB173) | (~(v111(constB173) | v112(constB173)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22171,plain,
% 7.13/5.33 (v108(constB173)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22170, 22169, 22137])).
% 7.13/5.33 tff(22172,plain,
% 7.13/5.33 ((~(v110(constB174) <=> v108(constB173))) | v110(constB174) | (~v108(constB173))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22173,plain,
% 7.13/5.33 (v110(constB174)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22172, 22171, 22135])).
% 7.13/5.33 tff(22174,plain,
% 7.13/5.33 ((~((~v101(constB174)) | (~v110(constB174)))) | (~v101(constB174)) | (~v110(constB174))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22175,plain,
% 7.13/5.33 (~((~v101(constB174)) | (~v110(constB174)))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22174, 22173, 22131])).
% 7.13/5.33 tff(22176,plain,
% 7.13/5.33 ((~(v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174)))))) | v100(constB174) | ((~v101(constB174)) | (~v110(constB174)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22177,plain,
% 7.13/5.33 (v100(constB174)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22176, 22175, 22106])).
% 7.13/5.33 tff(22178,plain,
% 7.13/5.33 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB174)) | (~(((~v90(constB174, 0)) <=> v129(constB174, 0)) | ((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB174)) | (~(((~v90(constB174, 0)) <=> v129(constB174, 0)) | ((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1)))))),
% 7.13/5.33 inference(rewrite,[status(thm)],[])).
% 7.13/5.33 tff(22179,plain,
% 7.13/5.33 (((~v100(constB174)) | (~(((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1)) | ((~v90(constB174, 0)) <=> v129(constB174, 0))))) <=> ((~v100(constB174)) | (~(((~v90(constB174, 0)) <=> v129(constB174, 0)) | ((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1)))))),
% 7.13/5.33 inference(rewrite,[status(thm)],[])).
% 7.13/5.33 tff(22180,plain,
% 7.13/5.33 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB174)) | (~(((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1)) | ((~v90(constB174, 0)) <=> v129(constB174, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB174)) | (~(((~v90(constB174, 0)) <=> v129(constB174, 0)) | ((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1))))))),
% 7.13/5.33 inference(monotonicity,[status(thm)],[22179])).
% 7.13/5.33 tff(22181,plain,
% 7.13/5.33 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB174)) | (~(((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1)) | ((~v90(constB174, 0)) <=> v129(constB174, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB174)) | (~(((~v90(constB174, 0)) <=> v129(constB174, 0)) | ((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1)))))),
% 7.13/5.33 inference(transitivity,[status(thm)],[22180, 22178])).
% 7.13/5.33 tff(22182,plain,
% 7.13/5.33 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB174)) | (~(((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1)) | ((~v90(constB174, 0)) <=> v129(constB174, 0)))))),
% 7.13/5.33 inference(quant_inst,[status(thm)],[])).
% 7.13/5.33 tff(22183,plain,
% 7.13/5.33 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB174)) | (~(((~v90(constB174, 0)) <=> v129(constB174, 0)) | ((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1))))),
% 7.13/5.33 inference(modus_ponens,[status(thm)],[22182, 22181])).
% 7.13/5.33 tff(22184,plain,
% 7.13/5.33 ((~v100(constB174)) | (~(((~v90(constB174, 0)) <=> v129(constB174, 0)) | ((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1))))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22183, 4794])).
% 7.13/5.33 tff(22185,plain,
% 7.13/5.33 (~(((~v90(constB174, 0)) <=> v129(constB174, 0)) | ((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1)))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22184, 22177])).
% 7.13/5.33 tff(22186,plain,
% 7.13/5.33 ((((~v90(constB174, 0)) <=> v129(constB174, 0)) | ((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1))) | (~((~v90(constB174, 0)) <=> v129(constB174, 0)))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22187,plain,
% 7.13/5.33 (~((~v90(constB174, 0)) <=> v129(constB174, 0))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22186, 22185])).
% 7.13/5.33 tff(22188,plain,
% 7.13/5.33 (((~v90(constB174, 0)) <=> v129(constB174, 0)) | (~v90(constB174, 0)) | v129(constB174, 0)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22189,plain,
% 7.13/5.33 (~v90(constB174, 0)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22188, 22187, 22102])).
% 7.13/5.33 tff(22190,plain,
% 7.13/5.33 (((~v90(constB175, 0)) <=> v90(constB174, 0)) | (~v90(constB175, 0)) | v90(constB174, 0)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22191,plain,
% 7.13/5.33 (~v90(constB175, 0)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22190, 22189, 17143])).
% 7.13/5.33 tff(22192,plain,
% 7.13/5.33 ((v90(constB175, 1) | v90(constB175, 2) | (~v90(constB175, 0))) | v90(constB175, 0)),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22193,plain,
% 7.13/5.33 (v90(constB175, 1) | v90(constB175, 2) | (~v90(constB175, 0))),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22192, 22191])).
% 7.13/5.33 tff(22194,plain,
% 7.13/5.33 ((~(v120(constB175) <=> (~(v90(constB175, 1) | v90(constB175, 2) | (~v90(constB175, 0)))))) | (~v120(constB175)) | (~(v90(constB175, 1) | v90(constB175, 2) | (~v90(constB175, 0))))),
% 7.13/5.33 inference(tautology,[status(thm)],[])).
% 7.13/5.33 tff(22195,plain,
% 7.13/5.33 (~v120(constB175)),
% 7.13/5.33 inference(unit_resolution,[status(thm)],[22194, 22193, 17107])).
% 7.13/5.33 tff(22196,plain,
% 7.13/5.33 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB175) <=> (~(v90(constB175, 1) | (~v90(constB175, 2)) | (~v90(constB175, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB175) <=> (~(v90(constB175, 1) | (~v90(constB175, 2)) | (~v90(constB175, 0))))))),
% 7.13/5.33 inference(rewrite,[status(thm)],[])).
% 7.13/5.33 tff(22197,plain,
% 7.13/5.33 ((v124(constB175) <=> (~(v90(constB175, 1) | (~v90(constB175, 0)) | (~v90(constB175, 2))))) <=> (v124(constB175) <=> (~(v90(constB175, 1) | (~v90(constB175, 2)) | (~v90(constB175, 0)))))),
% 7.13/5.33 inference(rewrite,[status(thm)],[])).
% 7.13/5.33 tff(22198,plain,
% 7.13/5.33 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB175) <=> (~(v90(constB175, 1) | (~v90(constB175, 0)) | (~v90(constB175, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB175) <=> (~(v90(constB175, 1) | (~v90(constB175, 2)) | (~v90(constB175, 0))))))),
% 7.13/5.33 inference(monotonicity,[status(thm)],[22197])).
% 7.13/5.33 tff(22199,plain,
% 7.13/5.33 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB175) <=> (~(v90(constB175, 1) | (~v90(constB175, 0)) | (~v90(constB175, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB175) <=> (~(v90(constB175, 1) | (~v90(constB175, 2)) | (~v90(constB175, 0))))))),
% 7.13/5.33 inference(transitivity,[status(thm)],[22198, 22196])).
% 7.13/5.33 tff(22200,plain,
% 7.13/5.33 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB175) <=> (~(v90(constB175, 1) | (~v90(constB175, 0)) | (~v90(constB175, 2)))))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22201,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB175) <=> (~(v90(constB175, 1) | (~v90(constB175, 2)) | (~v90(constB175, 0)))))),
% 7.13/5.34 inference(modus_ponens,[status(thm)],[22200, 22199])).
% 7.13/5.34 tff(22202,plain,
% 7.13/5.34 (v124(constB175) <=> (~(v90(constB175, 1) | (~v90(constB175, 2)) | (~v90(constB175, 0))))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22201, 4978])).
% 7.13/5.34 tff(22203,plain,
% 7.13/5.34 ((v90(constB175, 1) | (~v90(constB175, 2)) | (~v90(constB175, 0))) | v90(constB175, 0)),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22204,plain,
% 7.13/5.34 (v90(constB175, 1) | (~v90(constB175, 2)) | (~v90(constB175, 0))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22203, 22191])).
% 7.13/5.34 tff(22205,plain,
% 7.13/5.34 ((~(v124(constB175) <=> (~(v90(constB175, 1) | (~v90(constB175, 2)) | (~v90(constB175, 0)))))) | (~v124(constB175)) | (~(v90(constB175, 1) | (~v90(constB175, 2)) | (~v90(constB175, 0))))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22206,plain,
% 7.13/5.34 (~v124(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22205, 22204, 22202])).
% 7.13/5.34 tff(22207,plain,
% 7.13/5.34 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB175) <=> (~(v90(constB175, 1) | v90(constB175, 0) | (~v90(constB175, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB175) <=> (~(v90(constB175, 1) | v90(constB175, 0) | (~v90(constB175, 2))))))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22208,plain,
% 7.13/5.34 ((v123(constB175) <=> (~(v90(constB175, 0) | v90(constB175, 1) | (~v90(constB175, 2))))) <=> (v123(constB175) <=> (~(v90(constB175, 1) | v90(constB175, 0) | (~v90(constB175, 2)))))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22209,plain,
% 7.13/5.34 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB175) <=> (~(v90(constB175, 0) | v90(constB175, 1) | (~v90(constB175, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB175) <=> (~(v90(constB175, 1) | v90(constB175, 0) | (~v90(constB175, 2))))))),
% 7.13/5.34 inference(monotonicity,[status(thm)],[22208])).
% 7.13/5.34 tff(22210,plain,
% 7.13/5.34 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB175) <=> (~(v90(constB175, 0) | v90(constB175, 1) | (~v90(constB175, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB175) <=> (~(v90(constB175, 1) | v90(constB175, 0) | (~v90(constB175, 2))))))),
% 7.13/5.34 inference(transitivity,[status(thm)],[22209, 22207])).
% 7.13/5.34 tff(22211,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB175) <=> (~(v90(constB175, 0) | v90(constB175, 1) | (~v90(constB175, 2)))))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22212,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB175) <=> (~(v90(constB175, 1) | v90(constB175, 0) | (~v90(constB175, 2)))))),
% 7.13/5.34 inference(modus_ponens,[status(thm)],[22211, 22210])).
% 7.13/5.34 tff(22213,plain,
% 7.13/5.34 (v123(constB175) <=> (~(v90(constB175, 1) | v90(constB175, 0) | (~v90(constB175, 2))))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22212, 565])).
% 7.13/5.34 tff(22214,plain,
% 7.13/5.34 ((((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 0)) <=> v90(constB174, 0))) | (~((~v90(constB175, 1)) <=> v90(constB174, 1)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22215,plain,
% 7.13/5.34 (~((~v90(constB175, 1)) <=> v90(constB174, 1))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22214, 17141])).
% 7.13/5.34 tff(22216,plain,
% 7.13/5.34 ((((~v129(constB174, 2)) <=> v127(constB173, 2)) | ((~v129(constB174, 1)) <=> v127(constB173, 1)) | ((~v129(constB174, 0)) <=> v127(constB173, 0))) | (~((~v129(constB174, 1)) <=> v127(constB173, 1)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22217,plain,
% 7.13/5.34 (~((~v129(constB174, 1)) <=> v127(constB173, 1))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22216, 17150])).
% 7.13/5.34 tff(22218,plain,
% 7.13/5.34 ((((~v127(constB173, 2)) <=> v130(constB173, 2)) | ((~v127(constB173, 1)) <=> v130(constB173, 1)) | ((~v127(constB173, 0)) <=> v130(constB173, 0))) | (~((~v127(constB173, 1)) <=> v130(constB173, 1)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22219,plain,
% 7.13/5.34 (~((~v127(constB173, 1)) <=> v130(constB173, 1))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22218, 17164])).
% 7.13/5.34 tff(22220,plain,
% 7.13/5.34 ((v130(constB173, 0) | (~v130(constB173, 2)) | (~v130(constB173, 1))) | v130(constB173, 1)),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22221,plain,
% 7.13/5.34 (v130(constB173, 1)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22220, 22096])).
% 7.13/5.34 tff(22222,plain,
% 7.13/5.34 (((~v127(constB173, 1)) <=> v130(constB173, 1)) | v127(constB173, 1) | (~v130(constB173, 1))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22223,plain,
% 7.13/5.34 (v127(constB173, 1)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22222, 22221, 22219])).
% 7.13/5.34 tff(22224,plain,
% 7.13/5.34 (((~v129(constB174, 1)) <=> v127(constB173, 1)) | v129(constB174, 1) | (~v127(constB173, 1))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22225,plain,
% 7.13/5.34 (v129(constB174, 1)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22224, 22223, 22217])).
% 7.13/5.34 tff(22226,plain,
% 7.13/5.34 ((((~v90(constB174, 0)) <=> v129(constB174, 0)) | ((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1))) | (~((~v90(constB174, 1)) <=> v129(constB174, 1)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22227,plain,
% 7.13/5.34 (~((~v90(constB174, 1)) <=> v129(constB174, 1))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22226, 22185])).
% 7.13/5.34 tff(22228,plain,
% 7.13/5.34 (((~v90(constB174, 1)) <=> v129(constB174, 1)) | v90(constB174, 1) | (~v129(constB174, 1))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22229,plain,
% 7.13/5.34 (v90(constB174, 1)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22228, 22227, 22225])).
% 7.13/5.34 tff(22230,plain,
% 7.13/5.34 (((~v90(constB175, 1)) <=> v90(constB174, 1)) | v90(constB175, 1) | (~v90(constB174, 1))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22231,plain,
% 7.13/5.34 (v90(constB175, 1)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22230, 22229, 22215])).
% 7.13/5.34 tff(22232,plain,
% 7.13/5.34 ((v90(constB175, 1) | v90(constB175, 0) | (~v90(constB175, 2))) | (~v90(constB175, 1))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22233,plain,
% 7.13/5.34 (v90(constB175, 1) | v90(constB175, 0) | (~v90(constB175, 2))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22232, 22231])).
% 7.13/5.34 tff(22234,plain,
% 7.13/5.34 ((~(v123(constB175) <=> (~(v90(constB175, 1) | v90(constB175, 0) | (~v90(constB175, 2)))))) | (~v123(constB175)) | (~(v90(constB175, 1) | v90(constB175, 0) | (~v90(constB175, 2))))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22235,plain,
% 7.13/5.34 (~v123(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22234, 22233, 22213])).
% 7.13/5.34 tff(22236,plain,
% 7.13/5.34 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB175) <=> (~(v90(constB175, 2) | (~v90(constB175, 1)) | (~v90(constB175, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB175) <=> (~(v90(constB175, 2) | (~v90(constB175, 1)) | (~v90(constB175, 0))))))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22237,plain,
% 7.13/5.34 ((v122(constB175) <=> (~(v90(constB175, 2) | (~v90(constB175, 0)) | (~v90(constB175, 1))))) <=> (v122(constB175) <=> (~(v90(constB175, 2) | (~v90(constB175, 1)) | (~v90(constB175, 0)))))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22238,plain,
% 7.13/5.34 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB175) <=> (~(v90(constB175, 2) | (~v90(constB175, 0)) | (~v90(constB175, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB175) <=> (~(v90(constB175, 2) | (~v90(constB175, 1)) | (~v90(constB175, 0))))))),
% 7.13/5.34 inference(monotonicity,[status(thm)],[22237])).
% 7.13/5.34 tff(22239,plain,
% 7.13/5.34 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB175) <=> (~(v90(constB175, 2) | (~v90(constB175, 0)) | (~v90(constB175, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB175) <=> (~(v90(constB175, 2) | (~v90(constB175, 1)) | (~v90(constB175, 0))))))),
% 7.13/5.34 inference(transitivity,[status(thm)],[22238, 22236])).
% 7.13/5.34 tff(22240,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB175) <=> (~(v90(constB175, 2) | (~v90(constB175, 0)) | (~v90(constB175, 1)))))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22241,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB175) <=> (~(v90(constB175, 2) | (~v90(constB175, 1)) | (~v90(constB175, 0)))))),
% 7.13/5.34 inference(modus_ponens,[status(thm)],[22240, 22239])).
% 7.13/5.34 tff(22242,plain,
% 7.13/5.34 (v122(constB175) <=> (~(v90(constB175, 2) | (~v90(constB175, 1)) | (~v90(constB175, 0))))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22241, 644])).
% 7.13/5.34 tff(22243,plain,
% 7.13/5.34 ((v90(constB175, 2) | (~v90(constB175, 1)) | (~v90(constB175, 0))) | v90(constB175, 0)),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22244,plain,
% 7.13/5.34 (v90(constB175, 2) | (~v90(constB175, 1)) | (~v90(constB175, 0))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22243, 22191])).
% 7.13/5.34 tff(22245,plain,
% 7.13/5.34 ((~(v122(constB175) <=> (~(v90(constB175, 2) | (~v90(constB175, 1)) | (~v90(constB175, 0)))))) | (~v122(constB175)) | (~(v90(constB175, 2) | (~v90(constB175, 1)) | (~v90(constB175, 0))))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22246,plain,
% 7.13/5.34 (~v122(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22245, 22244, 22242])).
% 7.13/5.34 tff(22247,plain,
% 7.13/5.34 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB175) <=> (~(v90(constB175, 2) | v90(constB175, 0) | (~v90(constB175, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB175) <=> (~(v90(constB175, 2) | v90(constB175, 0) | (~v90(constB175, 1))))))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22248,plain,
% 7.13/5.34 ((v121(constB175) <=> (~(v90(constB175, 0) | v90(constB175, 2) | (~v90(constB175, 1))))) <=> (v121(constB175) <=> (~(v90(constB175, 2) | v90(constB175, 0) | (~v90(constB175, 1)))))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22249,plain,
% 7.13/5.34 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB175) <=> (~(v90(constB175, 0) | v90(constB175, 2) | (~v90(constB175, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB175) <=> (~(v90(constB175, 2) | v90(constB175, 0) | (~v90(constB175, 1))))))),
% 7.13/5.34 inference(monotonicity,[status(thm)],[22248])).
% 7.13/5.34 tff(22250,plain,
% 7.13/5.34 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB175) <=> (~(v90(constB175, 0) | v90(constB175, 2) | (~v90(constB175, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB175) <=> (~(v90(constB175, 2) | v90(constB175, 0) | (~v90(constB175, 1))))))),
% 7.13/5.34 inference(transitivity,[status(thm)],[22249, 22247])).
% 7.13/5.34 tff(22251,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB175) <=> (~(v90(constB175, 0) | v90(constB175, 2) | (~v90(constB175, 1)))))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22252,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB175) <=> (~(v90(constB175, 2) | v90(constB175, 0) | (~v90(constB175, 1)))))),
% 7.13/5.34 inference(modus_ponens,[status(thm)],[22251, 22250])).
% 7.13/5.34 tff(22253,plain,
% 7.13/5.34 (v121(constB175) <=> (~(v90(constB175, 2) | v90(constB175, 0) | (~v90(constB175, 1))))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22252, 723])).
% 7.13/5.34 tff(22254,plain,
% 7.13/5.34 ((((~v90(constB175, 1)) <=> v90(constB174, 1)) | ((~v90(constB175, 2)) <=> v90(constB174, 2)) | ((~v90(constB175, 0)) <=> v90(constB174, 0))) | (~((~v90(constB175, 2)) <=> v90(constB174, 2)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22255,plain,
% 7.13/5.34 (~((~v90(constB175, 2)) <=> v90(constB174, 2))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22254, 17141])).
% 7.13/5.34 tff(22256,plain,
% 7.13/5.34 ((((~v129(constB174, 2)) <=> v127(constB173, 2)) | ((~v129(constB174, 1)) <=> v127(constB173, 1)) | ((~v129(constB174, 0)) <=> v127(constB173, 0))) | (~((~v129(constB174, 2)) <=> v127(constB173, 2)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22257,plain,
% 7.13/5.34 (~((~v129(constB174, 2)) <=> v127(constB173, 2))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22256, 17150])).
% 7.13/5.34 tff(22258,plain,
% 7.13/5.34 ((((~v127(constB173, 2)) <=> v130(constB173, 2)) | ((~v127(constB173, 1)) <=> v130(constB173, 1)) | ((~v127(constB173, 0)) <=> v130(constB173, 0))) | (~((~v127(constB173, 2)) <=> v130(constB173, 2)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22259,plain,
% 7.13/5.34 (~((~v127(constB173, 2)) <=> v130(constB173, 2))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22258, 17164])).
% 7.13/5.34 tff(22260,plain,
% 7.13/5.34 ((v130(constB173, 0) | (~v130(constB173, 2)) | (~v130(constB173, 1))) | v130(constB173, 2)),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22261,plain,
% 7.13/5.34 (v130(constB173, 2)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22260, 22096])).
% 7.13/5.34 tff(22262,plain,
% 7.13/5.34 (((~v127(constB173, 2)) <=> v130(constB173, 2)) | v127(constB173, 2) | (~v130(constB173, 2))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22263,plain,
% 7.13/5.34 (v127(constB173, 2)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22262, 22261, 22259])).
% 7.13/5.34 tff(22264,plain,
% 7.13/5.34 (((~v129(constB174, 2)) <=> v127(constB173, 2)) | v129(constB174, 2) | (~v127(constB173, 2))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22265,plain,
% 7.13/5.34 (v129(constB174, 2)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22264, 22263, 22257])).
% 7.13/5.34 tff(22266,plain,
% 7.13/5.34 ((((~v90(constB174, 0)) <=> v129(constB174, 0)) | ((~v90(constB174, 2)) <=> v129(constB174, 2)) | ((~v90(constB174, 1)) <=> v129(constB174, 1))) | (~((~v90(constB174, 2)) <=> v129(constB174, 2)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22267,plain,
% 7.13/5.34 (~((~v90(constB174, 2)) <=> v129(constB174, 2))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22266, 22185])).
% 7.13/5.34 tff(22268,plain,
% 7.13/5.34 (((~v90(constB174, 2)) <=> v129(constB174, 2)) | v90(constB174, 2) | (~v129(constB174, 2))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22269,plain,
% 7.13/5.34 (v90(constB174, 2)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22268, 22267, 22265])).
% 7.13/5.34 tff(22270,plain,
% 7.13/5.34 (((~v90(constB175, 2)) <=> v90(constB174, 2)) | v90(constB175, 2) | (~v90(constB174, 2))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22271,plain,
% 7.13/5.34 (v90(constB175, 2)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22270, 22269, 22255])).
% 7.13/5.34 tff(22272,plain,
% 7.13/5.34 ((v90(constB175, 2) | v90(constB175, 0) | (~v90(constB175, 1))) | (~v90(constB175, 2))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22273,plain,
% 7.13/5.34 (v90(constB175, 2) | v90(constB175, 0) | (~v90(constB175, 1))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22272, 22271])).
% 7.13/5.34 tff(22274,plain,
% 7.13/5.34 ((~(v121(constB175) <=> (~(v90(constB175, 2) | v90(constB175, 0) | (~v90(constB175, 1)))))) | (~v121(constB175)) | (~(v90(constB175, 2) | v90(constB175, 0) | (~v90(constB175, 1))))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22275,plain,
% 7.13/5.34 (~v121(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22274, 22273, 22253])).
% 7.13/5.34 tff(22276,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB175) <=> (~(v90(constB175, 0) | v90(constB175, 1) | v90(constB175, 2))))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22277,plain,
% 7.13/5.34 (v119(constB175) <=> (~(v90(constB175, 0) | v90(constB175, 1) | v90(constB175, 2)))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22276, 491])).
% 7.13/5.34 tff(22278,plain,
% 7.13/5.34 ((v90(constB175, 0) | v90(constB175, 1) | v90(constB175, 2)) | (~v90(constB175, 2))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22279,plain,
% 7.13/5.34 (v90(constB175, 0) | v90(constB175, 1) | v90(constB175, 2)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22278, 22271])).
% 7.13/5.34 tff(22280,plain,
% 7.13/5.34 ((~(v119(constB175) <=> (~(v90(constB175, 0) | v90(constB175, 1) | v90(constB175, 2))))) | (~v119(constB175)) | (~(v90(constB175, 0) | v90(constB175, 1) | v90(constB175, 2)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22281,plain,
% 7.13/5.34 (~v119(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22280, 22279, 22277])).
% 7.13/5.34 tff(22282,plain,
% 7.13/5.34 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0)))))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22283,plain,
% 7.13/5.34 ((v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | (~(v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0))))) <=> (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0)))))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22284,plain,
% 7.13/5.34 ((~(v130(constB175, 1) | v130(constB175, 2) | (~v130(constB175, 0)))) <=> (~(v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0))))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22285,plain,
% 7.13/5.34 ((v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | (~(v130(constB175, 1) | v130(constB175, 2) | (~v130(constB175, 0))))) <=> (v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | (~(v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0)))))),
% 7.13/5.34 inference(monotonicity,[status(thm)],[22284])).
% 7.13/5.34 tff(22286,plain,
% 7.13/5.34 ((v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | (~(v130(constB175, 1) | v130(constB175, 2) | (~v130(constB175, 0))))) <=> (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0)))))),
% 7.13/5.34 inference(transitivity,[status(thm)],[22285, 22283])).
% 7.13/5.34 tff(22287,plain,
% 7.13/5.34 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | (~(v130(constB175, 1) | v130(constB175, 2) | (~v130(constB175, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0))))))),
% 7.13/5.34 inference(monotonicity,[status(thm)],[22286])).
% 7.13/5.34 tff(22288,plain,
% 7.13/5.34 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | (~(v130(constB175, 1) | v130(constB175, 2) | (~v130(constB175, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0)))))),
% 7.13/5.34 inference(transitivity,[status(thm)],[22287, 22282])).
% 7.13/5.34 tff(22289,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | (~(v130(constB175, 1) | v130(constB175, 2) | (~v130(constB175, 0)))))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22290,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0))))),
% 7.13/5.34 inference(modus_ponens,[status(thm)],[22289, 22288])).
% 7.13/5.34 tff(22291,plain,
% 7.13/5.34 (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0))))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22290, 5059])).
% 7.13/5.34 tff(22292,plain,
% 7.13/5.34 (~(v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0)))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22291, 22281, 22275, 22246, 22235, 22206, 22195])).
% 7.13/5.34 tff(22293,plain,
% 7.13/5.34 ((v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0))) | (~v130(constB175, 2))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22294,plain,
% 7.13/5.34 (~v130(constB175, 2)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22293, 22292])).
% 7.13/5.34 tff(22295,plain,
% 7.13/5.34 (((~v127(constB175, 2)) <=> v130(constB175, 2)) | (~v127(constB175, 2)) | v130(constB175, 2)),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22296,plain,
% 7.13/5.34 (~v127(constB175, 2)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22295, 22294, 17105])).
% 7.13/5.34 tff(22297,plain,
% 7.13/5.34 (((~v129(constB176, 2)) <=> v127(constB175, 2)) | (~v129(constB176, 2)) | v127(constB175, 2)),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22298,plain,
% 7.13/5.34 (~v129(constB176, 2)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22297, 22296, 17091])).
% 7.13/5.34 tff(22299,plain,
% 7.13/5.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22300,plain,
% 7.13/5.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22301,plain,
% 7.13/5.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176)))))),
% 7.13/5.34 inference(modus_ponens,[status(thm)],[22300, 22299])).
% 7.13/5.34 tff(22302,plain,
% 7.13/5.34 (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22301, 17085, 273])).
% 7.13/5.34 tff(22303,plain,
% 7.13/5.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22304,plain,
% 7.13/5.34 (((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176)))))) <=> ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22305,plain,
% 7.13/5.34 (((~![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) <=> (~((~v1(constB176)) | (~v102(constB176)))))))),
% 7.13/5.34 inference(monotonicity,[status(thm)],[22304])).
% 7.13/5.34 tff(22306,plain,
% 7.13/5.34 (((~![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) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 7.13/5.34 inference(transitivity,[status(thm)],[22305, 22303])).
% 7.13/5.34 tff(22307,plain,
% 7.13/5.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176))))))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22308,plain,
% 7.13/5.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))),
% 7.13/5.34 inference(modus_ponens,[status(thm)],[22307, 22306])).
% 7.13/5.34 tff(22309,plain,
% 7.13/5.34 (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22308, 17085, 293])).
% 7.13/5.34 tff(22310,plain,
% 7.13/5.34 (((~![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)))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22311,plain,
% 7.13/5.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176)))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22312,plain,
% 7.13/5.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176))),
% 7.13/5.34 inference(modus_ponens,[status(thm)],[22311, 22310])).
% 7.13/5.34 tff(22313,plain,
% 7.13/5.34 ((~v102(constB176)) <=> v104(constB176)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22312, 17085, 4609])).
% 7.13/5.34 tff(22314,plain,
% 7.13/5.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175)))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22315,plain,
% 7.13/5.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175)))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22316,plain,
% 7.13/5.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175))),
% 7.13/5.34 inference(modus_ponens,[status(thm)],[22315, 22314])).
% 7.13/5.34 tff(22317,plain,
% 7.13/5.34 (v104(constB176) <=> v1(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22316, 17085, 4623])).
% 7.13/5.34 tff(22318,plain,
% 7.13/5.34 ((~(v104(constB176) <=> v1(constB175))) | (~v104(constB176)) | v1(constB175)),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22319,plain,
% 7.13/5.34 ((~(v104(constB176) <=> v1(constB175))) | (~v104(constB176))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22318, 17124])).
% 7.13/5.34 tff(22320,plain,
% 7.13/5.34 (~v104(constB176)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22319, 22317])).
% 7.13/5.34 tff(22321,plain,
% 7.13/5.34 ((~((~v102(constB176)) <=> v104(constB176))) | v102(constB176) | v104(constB176)),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22322,plain,
% 7.13/5.34 (v102(constB176)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22321, 22320, 22313])).
% 7.13/5.34 tff(22323,plain,
% 7.13/5.34 (v1(constB176) <=> v1(constB176)),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22324,axiom,(v1(constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_176')).
% 7.13/5.34 tff(22325,plain,
% 7.13/5.34 (v1(constB176)),
% 7.13/5.34 inference(modus_ponens,[status(thm)],[22324, 22323])).
% 7.13/5.34 tff(22326,plain,
% 7.13/5.34 ((~((~v1(constB176)) | (~v102(constB176)))) | (~v1(constB176)) | (~v102(constB176))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22327,plain,
% 7.13/5.34 ((~((~v1(constB176)) | (~v102(constB176)))) | (~v102(constB176))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22326, 22325])).
% 7.13/5.34 tff(22328,plain,
% 7.13/5.34 (~((~v1(constB176)) | (~v102(constB176)))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22327, 22322])).
% 7.13/5.34 tff(22329,plain,
% 7.13/5.34 ((~(v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))) | v101(constB176) | ((~v1(constB176)) | (~v102(constB176)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22330,plain,
% 7.13/5.34 (v101(constB176)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22329, 22328, 22309])).
% 7.13/5.34 tff(22331,plain,
% 7.13/5.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175)))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22332,plain,
% 7.13/5.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175)))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22333,plain,
% 7.13/5.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175))),
% 7.13/5.34 inference(modus_ponens,[status(thm)],[22332, 22331])).
% 7.13/5.34 tff(22334,plain,
% 7.13/5.34 (v110(constB176) <=> v108(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22333, 17085, 4650])).
% 7.13/5.34 tff(22335,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB175) <=> (v111(constB175) | v112(constB175)))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22336,plain,
% 7.13/5.34 (v108(constB175) <=> (v111(constB175) | v112(constB175))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22335, 4661])).
% 7.13/5.34 tff(22337,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175)))))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22338,plain,
% 7.13/5.34 (v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175))))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22337, 4673])).
% 7.13/5.34 tff(22339,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB175) <=> (v114(constB175) | v125(constB175)))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22340,plain,
% 7.13/5.34 (v113(constB175) <=> (v114(constB175) | v125(constB175))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22339, 4682])).
% 7.13/5.34 tff(22341,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB175) <=> (~(v90(constB175, 0) | (~v90(constB175, 1)) | (~v90(constB175, 2)))))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22342,plain,
% 7.13/5.34 (v125(constB175) <=> (~(v90(constB175, 0) | (~v90(constB175, 1)) | (~v90(constB175, 2))))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22341, 5131])).
% 7.13/5.34 tff(22343,plain,
% 7.13/5.34 ((~(v90(constB175, 0) | (~v90(constB175, 1)) | (~v90(constB175, 2)))) | v90(constB175, 0) | (~v90(constB175, 1)) | (~v90(constB175, 2))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22344,plain,
% 7.13/5.34 (~(v90(constB175, 0) | (~v90(constB175, 1)) | (~v90(constB175, 2)))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22343, 22231, 22191, 22271])).
% 7.13/5.34 tff(22345,plain,
% 7.13/5.34 ((~(v125(constB175) <=> (~(v90(constB175, 0) | (~v90(constB175, 1)) | (~v90(constB175, 2)))))) | v125(constB175) | (v90(constB175, 0) | (~v90(constB175, 1)) | (~v90(constB175, 2)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22346,plain,
% 7.13/5.34 (v125(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22345, 22344, 22342])).
% 7.13/5.34 tff(22347,plain,
% 7.13/5.34 ((v114(constB175) | v125(constB175)) | (~v125(constB175))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22348,plain,
% 7.13/5.34 (v114(constB175) | v125(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22347, 22346])).
% 7.13/5.34 tff(22349,plain,
% 7.13/5.34 ((~(v113(constB175) <=> (v114(constB175) | v125(constB175)))) | v113(constB175) | (~(v114(constB175) | v125(constB175)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22350,plain,
% 7.13/5.34 (v113(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22349, 22348, 22340])).
% 7.13/5.34 tff(22351,plain,
% 7.13/5.34 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB175)) <=> v111(constB175))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22352,plain,
% 7.13/5.34 ((~v126(constB175)) <=> v111(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22351, 4761])).
% 7.13/5.34 tff(22353,plain,
% 7.13/5.34 ((~((~v126(constB175)) <=> v111(constB175))) | v126(constB175) | v111(constB175)),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22354,plain,
% 7.13/5.34 ((~((~v126(constB175)) <=> v111(constB175))) | v126(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22353, 17098])).
% 7.13/5.34 tff(22355,plain,
% 7.13/5.34 (v126(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22354, 22352])).
% 7.13/5.34 tff(22356,plain,
% 7.13/5.34 ((~((~v113(constB175)) | (~v126(constB175)))) | (~v113(constB175)) | (~v126(constB175))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22357,plain,
% 7.13/5.34 ((~((~v113(constB175)) | (~v126(constB175)))) | (~v113(constB175))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22356, 22355])).
% 7.13/5.34 tff(22358,plain,
% 7.13/5.34 (~((~v113(constB175)) | (~v126(constB175)))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22357, 22350])).
% 7.13/5.34 tff(22359,plain,
% 7.13/5.34 ((~(v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175)))))) | v112(constB175) | ((~v113(constB175)) | (~v126(constB175)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22360,plain,
% 7.13/5.34 (v112(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22359, 22358, 22338])).
% 7.13/5.34 tff(22361,plain,
% 7.13/5.34 ((v111(constB175) | v112(constB175)) | (~v112(constB175))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22362,plain,
% 7.13/5.34 (v111(constB175) | v112(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22361, 22360])).
% 7.13/5.34 tff(22363,plain,
% 7.13/5.34 ((~(v108(constB175) <=> (v111(constB175) | v112(constB175)))) | v108(constB175) | (~(v111(constB175) | v112(constB175)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22364,plain,
% 7.13/5.34 (v108(constB175)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22363, 22362, 22336])).
% 7.13/5.34 tff(22365,plain,
% 7.13/5.34 ((~(v110(constB176) <=> v108(constB175))) | v110(constB176) | (~v108(constB175))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22366,plain,
% 7.13/5.34 (v110(constB176)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22365, 22364, 22334])).
% 7.13/5.34 tff(22367,plain,
% 7.13/5.34 ((~((~v101(constB176)) | (~v110(constB176)))) | (~v101(constB176)) | (~v110(constB176))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22368,plain,
% 7.13/5.34 (~((~v101(constB176)) | (~v110(constB176)))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22367, 22366, 22330])).
% 7.13/5.34 tff(22369,plain,
% 7.13/5.34 ((~(v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176)))))) | v100(constB176) | ((~v101(constB176)) | (~v110(constB176)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22370,plain,
% 7.13/5.34 (v100(constB176)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22369, 22368, 22302])).
% 7.13/5.34 tff(22371,plain,
% 7.13/5.34 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB176)) | (~(((~v90(constB176, 2)) <=> v129(constB176, 2)) | ((~v90(constB176, 1)) <=> v129(constB176, 1)) | ((~v90(constB176, 0)) <=> v129(constB176, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB176)) | (~(((~v90(constB176, 2)) <=> v129(constB176, 2)) | ((~v90(constB176, 1)) <=> v129(constB176, 1)) | ((~v90(constB176, 0)) <=> v129(constB176, 0)))))),
% 7.13/5.34 inference(rewrite,[status(thm)],[])).
% 7.13/5.34 tff(22372,plain,
% 7.13/5.34 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB176)) | (~(((~v90(constB176, 2)) <=> v129(constB176, 2)) | ((~v90(constB176, 1)) <=> v129(constB176, 1)) | ((~v90(constB176, 0)) <=> v129(constB176, 0)))))),
% 7.13/5.34 inference(quant_inst,[status(thm)],[])).
% 7.13/5.34 tff(22373,plain,
% 7.13/5.34 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB176)) | (~(((~v90(constB176, 2)) <=> v129(constB176, 2)) | ((~v90(constB176, 1)) <=> v129(constB176, 1)) | ((~v90(constB176, 0)) <=> v129(constB176, 0))))),
% 7.13/5.34 inference(modus_ponens,[status(thm)],[22372, 22371])).
% 7.13/5.34 tff(22374,plain,
% 7.13/5.34 ((~v100(constB176)) | (~(((~v90(constB176, 2)) <=> v129(constB176, 2)) | ((~v90(constB176, 1)) <=> v129(constB176, 1)) | ((~v90(constB176, 0)) <=> v129(constB176, 0))))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22373, 4794])).
% 7.13/5.34 tff(22375,plain,
% 7.13/5.34 (~(((~v90(constB176, 2)) <=> v129(constB176, 2)) | ((~v90(constB176, 1)) <=> v129(constB176, 1)) | ((~v90(constB176, 0)) <=> v129(constB176, 0)))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22374, 22370])).
% 7.13/5.34 tff(22376,plain,
% 7.13/5.34 ((((~v90(constB176, 2)) <=> v129(constB176, 2)) | ((~v90(constB176, 1)) <=> v129(constB176, 1)) | ((~v90(constB176, 0)) <=> v129(constB176, 0))) | (~((~v90(constB176, 2)) <=> v129(constB176, 2)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22377,plain,
% 7.13/5.34 (~((~v90(constB176, 2)) <=> v129(constB176, 2))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22376, 22375])).
% 7.13/5.34 tff(22378,plain,
% 7.13/5.34 (((~v90(constB176, 2)) <=> v129(constB176, 2)) | (~v90(constB176, 2)) | v129(constB176, 2)),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22379,plain,
% 7.13/5.34 (~v90(constB176, 2)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22378, 22377, 22298])).
% 7.13/5.34 tff(22380,plain,
% 7.13/5.34 (((~v90(constB177, 2)) <=> v90(constB176, 2)) | (~v90(constB177, 2)) | v90(constB176, 2)),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22381,plain,
% 7.13/5.34 (~v90(constB177, 2)),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22380, 22379, 17082])).
% 7.13/5.34 tff(22382,plain,
% 7.13/5.34 ((((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 0)) <=> v90(constB176, 0))) | (~((~v90(constB177, 0)) <=> v90(constB176, 0)))),
% 7.13/5.34 inference(tautology,[status(thm)],[])).
% 7.13/5.34 tff(22383,plain,
% 7.13/5.34 (~((~v90(constB177, 0)) <=> v90(constB176, 0))),
% 7.13/5.34 inference(unit_resolution,[status(thm)],[22382, 17080])).
% 7.13/5.34 tff(22384,plain,
% 7.13/5.34 ((((~v129(constB176, 2)) <=> v127(constB175, 2)) | ((~v129(constB176, 1)) <=> v127(constB175, 1)) | ((~v129(constB176, 0)) <=> v127(constB175, 0))) | (~((~v129(constB176, 0)) <=> v127(constB175, 0)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22385,plain,
% 7.13/5.35 (~((~v129(constB176, 0)) <=> v127(constB175, 0))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22384, 17089])).
% 7.13/5.35 tff(22386,plain,
% 7.13/5.35 ((((~v127(constB175, 2)) <=> v130(constB175, 2)) | ((~v127(constB175, 1)) <=> v130(constB175, 1)) | ((~v127(constB175, 0)) <=> v130(constB175, 0))) | (~((~v127(constB175, 0)) <=> v130(constB175, 0)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22387,plain,
% 7.13/5.35 (~((~v127(constB175, 0)) <=> v130(constB175, 0))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22386, 17103])).
% 7.13/5.35 tff(22388,plain,
% 7.13/5.35 ((v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0))) | v130(constB175, 0)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22389,plain,
% 7.13/5.35 (v130(constB175, 0)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22388, 22292])).
% 7.13/5.35 tff(22390,plain,
% 7.13/5.35 (((~v127(constB175, 0)) <=> v130(constB175, 0)) | v127(constB175, 0) | (~v130(constB175, 0))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22391,plain,
% 7.13/5.35 (v127(constB175, 0)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22390, 22389, 22387])).
% 7.13/5.35 tff(22392,plain,
% 7.13/5.35 (((~v129(constB176, 0)) <=> v127(constB175, 0)) | v129(constB176, 0) | (~v127(constB175, 0))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22393,plain,
% 7.13/5.35 (v129(constB176, 0)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22392, 22391, 22385])).
% 7.13/5.35 tff(22394,plain,
% 7.13/5.35 ((((~v90(constB176, 2)) <=> v129(constB176, 2)) | ((~v90(constB176, 1)) <=> v129(constB176, 1)) | ((~v90(constB176, 0)) <=> v129(constB176, 0))) | (~((~v90(constB176, 0)) <=> v129(constB176, 0)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22395,plain,
% 7.13/5.35 (~((~v90(constB176, 0)) <=> v129(constB176, 0))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22394, 22375])).
% 7.13/5.35 tff(22396,plain,
% 7.13/5.35 (((~v90(constB176, 0)) <=> v129(constB176, 0)) | v90(constB176, 0) | (~v129(constB176, 0))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22397,plain,
% 7.13/5.35 (v90(constB176, 0)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22396, 22395, 22393])).
% 7.13/5.35 tff(22398,plain,
% 7.13/5.35 (((~v90(constB177, 0)) <=> v90(constB176, 0)) | v90(constB177, 0) | (~v90(constB176, 0))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22399,plain,
% 7.13/5.35 (v90(constB177, 0)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22398, 22397, 22383])).
% 7.13/5.35 tff(22400,plain,
% 7.13/5.35 ((((~v90(constB177, 1)) <=> v90(constB176, 1)) | ((~v90(constB177, 2)) <=> v90(constB176, 2)) | ((~v90(constB177, 0)) <=> v90(constB176, 0))) | (~((~v90(constB177, 1)) <=> v90(constB176, 1)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22401,plain,
% 7.13/5.35 (~((~v90(constB177, 1)) <=> v90(constB176, 1))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22400, 17080])).
% 7.13/5.35 tff(22402,plain,
% 7.13/5.35 ((((~v129(constB176, 2)) <=> v127(constB175, 2)) | ((~v129(constB176, 1)) <=> v127(constB175, 1)) | ((~v129(constB176, 0)) <=> v127(constB175, 0))) | (~((~v129(constB176, 1)) <=> v127(constB175, 1)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22403,plain,
% 7.13/5.35 (~((~v129(constB176, 1)) <=> v127(constB175, 1))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22402, 17089])).
% 7.13/5.35 tff(22404,plain,
% 7.13/5.35 ((((~v127(constB175, 2)) <=> v130(constB175, 2)) | ((~v127(constB175, 1)) <=> v130(constB175, 1)) | ((~v127(constB175, 0)) <=> v130(constB175, 0))) | (~((~v127(constB175, 1)) <=> v130(constB175, 1)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22405,plain,
% 7.13/5.35 (~((~v127(constB175, 1)) <=> v130(constB175, 1))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22404, 17103])).
% 7.13/5.35 tff(22406,plain,
% 7.13/5.35 ((v130(constB175, 2) | v130(constB175, 1) | (~v130(constB175, 0))) | (~v130(constB175, 1))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22407,plain,
% 7.13/5.35 (~v130(constB175, 1)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22406, 22292])).
% 7.13/5.35 tff(22408,plain,
% 7.13/5.35 (((~v127(constB175, 1)) <=> v130(constB175, 1)) | (~v127(constB175, 1)) | v130(constB175, 1)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22409,plain,
% 7.13/5.35 (~v127(constB175, 1)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22408, 22407, 22405])).
% 7.13/5.35 tff(22410,plain,
% 7.13/5.35 (((~v129(constB176, 1)) <=> v127(constB175, 1)) | (~v129(constB176, 1)) | v127(constB175, 1)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22411,plain,
% 7.13/5.35 (~v129(constB176, 1)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22410, 22409, 22403])).
% 7.13/5.35 tff(22412,plain,
% 7.13/5.35 ((((~v90(constB176, 2)) <=> v129(constB176, 2)) | ((~v90(constB176, 1)) <=> v129(constB176, 1)) | ((~v90(constB176, 0)) <=> v129(constB176, 0))) | (~((~v90(constB176, 1)) <=> v129(constB176, 1)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22413,plain,
% 7.13/5.35 (~((~v90(constB176, 1)) <=> v129(constB176, 1))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22412, 22375])).
% 7.13/5.35 tff(22414,plain,
% 7.13/5.35 (((~v90(constB176, 1)) <=> v129(constB176, 1)) | (~v90(constB176, 1)) | v129(constB176, 1)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22415,plain,
% 7.13/5.35 (~v90(constB176, 1)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22414, 22413, 22411])).
% 7.13/5.35 tff(22416,plain,
% 7.13/5.35 (((~v90(constB177, 1)) <=> v90(constB176, 1)) | (~v90(constB177, 1)) | v90(constB176, 1)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22417,plain,
% 7.13/5.35 (~v90(constB177, 1)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22416, 22415, 22401])).
% 7.13/5.35 tff(22418,plain,
% 7.13/5.35 ((~(v90(constB177, 1) | v90(constB177, 2) | (~v90(constB177, 0)))) | v90(constB177, 1) | v90(constB177, 2) | (~v90(constB177, 0))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22419,plain,
% 7.13/5.35 (~(v90(constB177, 1) | v90(constB177, 2) | (~v90(constB177, 0)))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22418, 22417, 22399, 22381])).
% 7.13/5.35 tff(22420,plain,
% 7.13/5.35 ((~(v120(constB177) <=> (~(v90(constB177, 1) | v90(constB177, 2) | (~v90(constB177, 0)))))) | v120(constB177) | (v90(constB177, 1) | v90(constB177, 2) | (~v90(constB177, 0)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22421,plain,
% 7.13/5.35 (v120(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22420, 22419, 17046])).
% 7.13/5.35 tff(22422,plain,
% 7.13/5.35 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB177)) | (~(v130(constB177, 2) | v130(constB177, 0) | (~v130(constB177, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB177)) | (~(v130(constB177, 2) | v130(constB177, 0) | (~v130(constB177, 1)))))),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22423,plain,
% 7.13/5.35 (((~v120(constB177)) | (~(v130(constB177, 0) | v130(constB177, 2) | (~v130(constB177, 1))))) <=> ((~v120(constB177)) | (~(v130(constB177, 2) | v130(constB177, 0) | (~v130(constB177, 1)))))),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22424,plain,
% 7.13/5.35 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB177)) | (~(v130(constB177, 0) | v130(constB177, 2) | (~v130(constB177, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB177)) | (~(v130(constB177, 2) | v130(constB177, 0) | (~v130(constB177, 1))))))),
% 7.13/5.35 inference(monotonicity,[status(thm)],[22423])).
% 7.13/5.35 tff(22425,plain,
% 7.13/5.35 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB177)) | (~(v130(constB177, 0) | v130(constB177, 2) | (~v130(constB177, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB177)) | (~(v130(constB177, 2) | v130(constB177, 0) | (~v130(constB177, 1)))))),
% 7.13/5.35 inference(transitivity,[status(thm)],[22424, 22422])).
% 7.13/5.35 tff(22426,plain,
% 7.13/5.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB177)) | (~(v130(constB177, 0) | v130(constB177, 2) | (~v130(constB177, 1)))))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22427,plain,
% 7.13/5.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB177)) | (~(v130(constB177, 2) | v130(constB177, 0) | (~v130(constB177, 1))))),
% 7.13/5.35 inference(modus_ponens,[status(thm)],[22426, 22425])).
% 7.13/5.35 tff(22428,plain,
% 7.13/5.35 ((~v120(constB177)) | (~(v130(constB177, 2) | v130(constB177, 0) | (~v130(constB177, 1))))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22427, 5246])).
% 7.13/5.35 tff(22429,plain,
% 7.13/5.35 (~(v130(constB177, 2) | v130(constB177, 0) | (~v130(constB177, 1)))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22428, 22421])).
% 7.13/5.35 tff(22430,plain,
% 7.13/5.35 ((v130(constB177, 2) | v130(constB177, 0) | (~v130(constB177, 1))) | (~v130(constB177, 2))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22431,plain,
% 7.13/5.35 (~v130(constB177, 2)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22430, 22429])).
% 7.13/5.35 tff(22432,plain,
% 7.13/5.35 (((~v127(constB177, 2)) <=> v130(constB177, 2)) | (~v127(constB177, 2)) | v130(constB177, 2)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22433,plain,
% 7.13/5.35 (~v127(constB177, 2)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22432, 22431, 17044])).
% 7.13/5.35 tff(22434,plain,
% 7.13/5.35 (((~v129(constB178, 2)) <=> v127(constB177, 2)) | (~v129(constB178, 2)) | v127(constB177, 2)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22435,plain,
% 7.13/5.35 (~v129(constB178, 2)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22434, 22433, 17030])).
% 7.13/5.35 tff(22436,plain,
% 7.13/5.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))))),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22437,plain,
% 7.13/5.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22438,plain,
% 7.13/5.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178)))))),
% 7.13/5.35 inference(modus_ponens,[status(thm)],[22437, 22436])).
% 7.13/5.35 tff(22439,plain,
% 7.13/5.35 (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22438, 17024, 273])).
% 7.13/5.35 tff(22440,plain,
% 7.13/5.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22441,plain,
% 7.13/5.35 (((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178)))))) <=> ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22442,plain,
% 7.13/5.35 (((~![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) <=> (~((~v1(constB178)) | (~v102(constB178)))))))),
% 7.13/5.35 inference(monotonicity,[status(thm)],[22441])).
% 7.13/5.35 tff(22443,plain,
% 7.13/5.35 (((~![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) <=> (~((~v1(constB178)) | (~v102(constB178))))))),
% 7.13/5.35 inference(transitivity,[status(thm)],[22442, 22440])).
% 7.13/5.35 tff(22444,plain,
% 7.13/5.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178))))))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22445,plain,
% 7.13/5.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178)))))),
% 7.13/5.35 inference(modus_ponens,[status(thm)],[22444, 22443])).
% 7.13/5.35 tff(22446,plain,
% 7.13/5.35 (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22445, 17024, 293])).
% 7.13/5.35 tff(22447,plain,
% 7.13/5.35 (((~![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)))),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22448,plain,
% 7.13/5.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178)))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22449,plain,
% 7.13/5.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178))),
% 7.13/5.35 inference(modus_ponens,[status(thm)],[22448, 22447])).
% 7.13/5.35 tff(22450,plain,
% 7.13/5.35 ((~v102(constB178)) <=> v104(constB178)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22449, 17024, 4609])).
% 7.13/5.35 tff(22451,plain,
% 7.13/5.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177)))),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22452,plain,
% 7.13/5.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177)))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22453,plain,
% 7.13/5.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177))),
% 7.13/5.35 inference(modus_ponens,[status(thm)],[22452, 22451])).
% 7.13/5.35 tff(22454,plain,
% 7.13/5.35 (v104(constB178) <=> v1(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22453, 17024, 4623])).
% 7.13/5.35 tff(22455,plain,
% 7.13/5.35 ((~(v104(constB178) <=> v1(constB177))) | (~v104(constB178)) | v1(constB177)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22456,plain,
% 7.13/5.35 ((~(v104(constB178) <=> v1(constB177))) | (~v104(constB178))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22455, 17063])).
% 7.13/5.35 tff(22457,plain,
% 7.13/5.35 (~v104(constB178)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22456, 22454])).
% 7.13/5.35 tff(22458,plain,
% 7.13/5.35 ((~((~v102(constB178)) <=> v104(constB178))) | v102(constB178) | v104(constB178)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22459,plain,
% 7.13/5.35 (v102(constB178)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22458, 22457, 22450])).
% 7.13/5.35 tff(22460,plain,
% 7.13/5.35 (v1(constB178) <=> v1(constB178)),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22461,axiom,(v1(constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_178')).
% 7.13/5.35 tff(22462,plain,
% 7.13/5.35 (v1(constB178)),
% 7.13/5.35 inference(modus_ponens,[status(thm)],[22461, 22460])).
% 7.13/5.35 tff(22463,plain,
% 7.13/5.35 ((~((~v1(constB178)) | (~v102(constB178)))) | (~v1(constB178)) | (~v102(constB178))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22464,plain,
% 7.13/5.35 ((~((~v1(constB178)) | (~v102(constB178)))) | (~v102(constB178))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22463, 22462])).
% 7.13/5.35 tff(22465,plain,
% 7.13/5.35 (~((~v1(constB178)) | (~v102(constB178)))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22464, 22459])).
% 7.13/5.35 tff(22466,plain,
% 7.13/5.35 ((~(v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178)))))) | v101(constB178) | ((~v1(constB178)) | (~v102(constB178)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22467,plain,
% 7.13/5.35 (v101(constB178)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22466, 22465, 22446])).
% 7.13/5.35 tff(22468,plain,
% 7.13/5.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177)))),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22469,plain,
% 7.13/5.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177)))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22470,plain,
% 7.13/5.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177))),
% 7.13/5.35 inference(modus_ponens,[status(thm)],[22469, 22468])).
% 7.13/5.35 tff(22471,plain,
% 7.13/5.35 (v110(constB178) <=> v108(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22470, 17024, 4650])).
% 7.13/5.35 tff(22472,plain,
% 7.13/5.35 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB177) <=> (v111(constB177) | v112(constB177)))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22473,plain,
% 7.13/5.35 (v108(constB177) <=> (v111(constB177) | v112(constB177))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22472, 4661])).
% 7.13/5.35 tff(22474,plain,
% 7.13/5.35 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177)))))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22475,plain,
% 7.13/5.35 (v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177))))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22474, 4673])).
% 7.13/5.35 tff(22476,plain,
% 7.13/5.35 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB177) <=> (v114(constB177) | v125(constB177)))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22477,plain,
% 7.13/5.35 (v113(constB177) <=> (v114(constB177) | v125(constB177))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22476, 4682])).
% 7.13/5.35 tff(22478,plain,
% 7.13/5.35 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB177) <=> (v115(constB177) | v124(constB177)))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22479,plain,
% 7.13/5.35 (v114(constB177) <=> (v115(constB177) | v124(constB177))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22478, 4691])).
% 7.13/5.35 tff(22480,plain,
% 7.13/5.35 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB177) <=> (v116(constB177) | v123(constB177)))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22481,plain,
% 7.13/5.35 (v115(constB177) <=> (v116(constB177) | v123(constB177))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22480, 4700])).
% 7.13/5.35 tff(22482,plain,
% 7.13/5.35 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB177) <=> (v117(constB177) | v122(constB177)))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22483,plain,
% 7.13/5.35 (v116(constB177) <=> (v117(constB177) | v122(constB177))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22482, 4709])).
% 7.13/5.35 tff(22484,plain,
% 7.13/5.35 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB177) <=> (v118(constB177) | v121(constB177)))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22485,plain,
% 7.13/5.35 (v117(constB177) <=> (v118(constB177) | v121(constB177))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22484, 4718])).
% 7.13/5.35 tff(22486,plain,
% 7.13/5.35 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB177) <=> (v119(constB177) | v120(constB177)))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22487,plain,
% 7.13/5.35 (v118(constB177) <=> (v119(constB177) | v120(constB177))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22486, 4727])).
% 7.13/5.35 tff(22488,plain,
% 7.13/5.35 ((v119(constB177) | v120(constB177)) | (~v120(constB177))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22489,plain,
% 7.13/5.35 (v119(constB177) | v120(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22488, 22421])).
% 7.13/5.35 tff(22490,plain,
% 7.13/5.35 ((~(v118(constB177) <=> (v119(constB177) | v120(constB177)))) | v118(constB177) | (~(v119(constB177) | v120(constB177)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22491,plain,
% 7.13/5.35 (v118(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22490, 22489, 22487])).
% 7.13/5.35 tff(22492,plain,
% 7.13/5.35 ((v118(constB177) | v121(constB177)) | (~v118(constB177))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22493,plain,
% 7.13/5.35 (v118(constB177) | v121(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22492, 22491])).
% 7.13/5.35 tff(22494,plain,
% 7.13/5.35 ((~(v117(constB177) <=> (v118(constB177) | v121(constB177)))) | v117(constB177) | (~(v118(constB177) | v121(constB177)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22495,plain,
% 7.13/5.35 (v117(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22494, 22493, 22485])).
% 7.13/5.35 tff(22496,plain,
% 7.13/5.35 ((v117(constB177) | v122(constB177)) | (~v117(constB177))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22497,plain,
% 7.13/5.35 (v117(constB177) | v122(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22496, 22495])).
% 7.13/5.35 tff(22498,plain,
% 7.13/5.35 ((~(v116(constB177) <=> (v117(constB177) | v122(constB177)))) | v116(constB177) | (~(v117(constB177) | v122(constB177)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22499,plain,
% 7.13/5.35 (v116(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22498, 22497, 22483])).
% 7.13/5.35 tff(22500,plain,
% 7.13/5.35 ((v116(constB177) | v123(constB177)) | (~v116(constB177))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22501,plain,
% 7.13/5.35 (v116(constB177) | v123(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22500, 22499])).
% 7.13/5.35 tff(22502,plain,
% 7.13/5.35 ((~(v115(constB177) <=> (v116(constB177) | v123(constB177)))) | v115(constB177) | (~(v116(constB177) | v123(constB177)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22503,plain,
% 7.13/5.35 (v115(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22502, 22501, 22481])).
% 7.13/5.35 tff(22504,plain,
% 7.13/5.35 ((v115(constB177) | v124(constB177)) | (~v115(constB177))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22505,plain,
% 7.13/5.35 (v115(constB177) | v124(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22504, 22503])).
% 7.13/5.35 tff(22506,plain,
% 7.13/5.35 ((~(v114(constB177) <=> (v115(constB177) | v124(constB177)))) | v114(constB177) | (~(v115(constB177) | v124(constB177)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22507,plain,
% 7.13/5.35 (v114(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22506, 22505, 22479])).
% 7.13/5.35 tff(22508,plain,
% 7.13/5.35 ((v114(constB177) | v125(constB177)) | (~v114(constB177))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22509,plain,
% 7.13/5.35 (v114(constB177) | v125(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22508, 22507])).
% 7.13/5.35 tff(22510,plain,
% 7.13/5.35 ((~(v113(constB177) <=> (v114(constB177) | v125(constB177)))) | v113(constB177) | (~(v114(constB177) | v125(constB177)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22511,plain,
% 7.13/5.35 (v113(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22510, 22509, 22477])).
% 7.13/5.35 tff(22512,plain,
% 7.13/5.35 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB177)) <=> v111(constB177))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22513,plain,
% 7.13/5.35 ((~v126(constB177)) <=> v111(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22512, 4761])).
% 7.13/5.35 tff(22514,plain,
% 7.13/5.35 ((~((~v126(constB177)) <=> v111(constB177))) | v126(constB177) | v111(constB177)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22515,plain,
% 7.13/5.35 ((~((~v126(constB177)) <=> v111(constB177))) | v126(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22514, 17037])).
% 7.13/5.35 tff(22516,plain,
% 7.13/5.35 (v126(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22515, 22513])).
% 7.13/5.35 tff(22517,plain,
% 7.13/5.35 ((~((~v113(constB177)) | (~v126(constB177)))) | (~v113(constB177)) | (~v126(constB177))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22518,plain,
% 7.13/5.35 ((~((~v113(constB177)) | (~v126(constB177)))) | (~v113(constB177))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22517, 22516])).
% 7.13/5.35 tff(22519,plain,
% 7.13/5.35 (~((~v113(constB177)) | (~v126(constB177)))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22518, 22511])).
% 7.13/5.35 tff(22520,plain,
% 7.13/5.35 ((~(v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177)))))) | v112(constB177) | ((~v113(constB177)) | (~v126(constB177)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22521,plain,
% 7.13/5.35 (v112(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22520, 22519, 22475])).
% 7.13/5.35 tff(22522,plain,
% 7.13/5.35 ((v111(constB177) | v112(constB177)) | (~v112(constB177))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22523,plain,
% 7.13/5.35 (v111(constB177) | v112(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22522, 22521])).
% 7.13/5.35 tff(22524,plain,
% 7.13/5.35 ((~(v108(constB177) <=> (v111(constB177) | v112(constB177)))) | v108(constB177) | (~(v111(constB177) | v112(constB177)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22525,plain,
% 7.13/5.35 (v108(constB177)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22524, 22523, 22473])).
% 7.13/5.35 tff(22526,plain,
% 7.13/5.35 ((~(v110(constB178) <=> v108(constB177))) | v110(constB178) | (~v108(constB177))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22527,plain,
% 7.13/5.35 (v110(constB178)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22526, 22525, 22471])).
% 7.13/5.35 tff(22528,plain,
% 7.13/5.35 ((~((~v101(constB178)) | (~v110(constB178)))) | (~v101(constB178)) | (~v110(constB178))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22529,plain,
% 7.13/5.35 (~((~v101(constB178)) | (~v110(constB178)))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22528, 22527, 22467])).
% 7.13/5.35 tff(22530,plain,
% 7.13/5.35 ((~(v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178)))))) | v100(constB178) | ((~v101(constB178)) | (~v110(constB178)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22531,plain,
% 7.13/5.35 (v100(constB178)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22530, 22529, 22439])).
% 7.13/5.35 tff(22532,plain,
% 7.13/5.35 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB178)) | (~(((~v90(constB178, 0)) <=> v129(constB178, 0)) | ((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB178)) | (~(((~v90(constB178, 0)) <=> v129(constB178, 0)) | ((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1)))))),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22533,plain,
% 7.13/5.35 (((~v100(constB178)) | (~(((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1)) | ((~v90(constB178, 0)) <=> v129(constB178, 0))))) <=> ((~v100(constB178)) | (~(((~v90(constB178, 0)) <=> v129(constB178, 0)) | ((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1)))))),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22534,plain,
% 7.13/5.35 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB178)) | (~(((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1)) | ((~v90(constB178, 0)) <=> v129(constB178, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB178)) | (~(((~v90(constB178, 0)) <=> v129(constB178, 0)) | ((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1))))))),
% 7.13/5.35 inference(monotonicity,[status(thm)],[22533])).
% 7.13/5.35 tff(22535,plain,
% 7.13/5.35 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB178)) | (~(((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1)) | ((~v90(constB178, 0)) <=> v129(constB178, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB178)) | (~(((~v90(constB178, 0)) <=> v129(constB178, 0)) | ((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1)))))),
% 7.13/5.35 inference(transitivity,[status(thm)],[22534, 22532])).
% 7.13/5.35 tff(22536,plain,
% 7.13/5.35 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB178)) | (~(((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1)) | ((~v90(constB178, 0)) <=> v129(constB178, 0)))))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22537,plain,
% 7.13/5.35 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB178)) | (~(((~v90(constB178, 0)) <=> v129(constB178, 0)) | ((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1))))),
% 7.13/5.35 inference(modus_ponens,[status(thm)],[22536, 22535])).
% 7.13/5.35 tff(22538,plain,
% 7.13/5.35 ((~v100(constB178)) | (~(((~v90(constB178, 0)) <=> v129(constB178, 0)) | ((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1))))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22537, 4794])).
% 7.13/5.35 tff(22539,plain,
% 7.13/5.35 (~(((~v90(constB178, 0)) <=> v129(constB178, 0)) | ((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1)))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22538, 22531])).
% 7.13/5.35 tff(22540,plain,
% 7.13/5.35 ((((~v90(constB178, 0)) <=> v129(constB178, 0)) | ((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1))) | (~((~v90(constB178, 2)) <=> v129(constB178, 2)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22541,plain,
% 7.13/5.35 (~((~v90(constB178, 2)) <=> v129(constB178, 2))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22540, 22539])).
% 7.13/5.35 tff(22542,plain,
% 7.13/5.35 (((~v90(constB178, 2)) <=> v129(constB178, 2)) | (~v90(constB178, 2)) | v129(constB178, 2)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22543,plain,
% 7.13/5.35 (~v90(constB178, 2)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22542, 22541, 22435])).
% 7.13/5.35 tff(22544,plain,
% 7.13/5.35 (((~v90(constB179, 2)) <=> v90(constB178, 2)) | (~v90(constB179, 2)) | v90(constB178, 2)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22545,plain,
% 7.13/5.35 (~v90(constB179, 2)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22544, 22543, 17021])).
% 7.13/5.35 tff(22546,plain,
% 7.13/5.35 ((((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 0)) <=> v90(constB178, 0))) | (~((~v90(constB179, 0)) <=> v90(constB178, 0)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22547,plain,
% 7.13/5.35 (~((~v90(constB179, 0)) <=> v90(constB178, 0))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22546, 17019])).
% 7.13/5.35 tff(22548,plain,
% 7.13/5.35 ((((~v129(constB178, 2)) <=> v127(constB177, 2)) | ((~v129(constB178, 1)) <=> v127(constB177, 1)) | ((~v129(constB178, 0)) <=> v127(constB177, 0))) | (~((~v129(constB178, 0)) <=> v127(constB177, 0)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22549,plain,
% 7.13/5.35 (~((~v129(constB178, 0)) <=> v127(constB177, 0))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22548, 17028])).
% 7.13/5.35 tff(22550,plain,
% 7.13/5.35 ((((~v127(constB177, 2)) <=> v130(constB177, 2)) | ((~v127(constB177, 1)) <=> v130(constB177, 1)) | ((~v127(constB177, 0)) <=> v130(constB177, 0))) | (~((~v127(constB177, 0)) <=> v130(constB177, 0)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22551,plain,
% 7.13/5.35 (~((~v127(constB177, 0)) <=> v130(constB177, 0))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22550, 17042])).
% 7.13/5.35 tff(22552,plain,
% 7.13/5.35 ((v130(constB177, 2) | v130(constB177, 0) | (~v130(constB177, 1))) | (~v130(constB177, 0))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22553,plain,
% 7.13/5.35 (~v130(constB177, 0)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22552, 22429])).
% 7.13/5.35 tff(22554,plain,
% 7.13/5.35 (((~v127(constB177, 0)) <=> v130(constB177, 0)) | (~v127(constB177, 0)) | v130(constB177, 0)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22555,plain,
% 7.13/5.35 (~v127(constB177, 0)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22554, 22553, 22551])).
% 7.13/5.35 tff(22556,plain,
% 7.13/5.35 (((~v129(constB178, 0)) <=> v127(constB177, 0)) | (~v129(constB178, 0)) | v127(constB177, 0)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22557,plain,
% 7.13/5.35 (~v129(constB178, 0)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22556, 22555, 22549])).
% 7.13/5.35 tff(22558,plain,
% 7.13/5.35 ((((~v90(constB178, 0)) <=> v129(constB178, 0)) | ((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1))) | (~((~v90(constB178, 0)) <=> v129(constB178, 0)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22559,plain,
% 7.13/5.35 (~((~v90(constB178, 0)) <=> v129(constB178, 0))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22558, 22539])).
% 7.13/5.35 tff(22560,plain,
% 7.13/5.35 (((~v90(constB178, 0)) <=> v129(constB178, 0)) | (~v90(constB178, 0)) | v129(constB178, 0)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22561,plain,
% 7.13/5.35 (~v90(constB178, 0)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22560, 22559, 22557])).
% 7.13/5.35 tff(22562,plain,
% 7.13/5.35 (((~v90(constB179, 0)) <=> v90(constB178, 0)) | (~v90(constB179, 0)) | v90(constB178, 0)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22563,plain,
% 7.13/5.35 (~v90(constB179, 0)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22562, 22561, 22547])).
% 7.13/5.35 tff(22564,plain,
% 7.13/5.35 ((((~v90(constB179, 1)) <=> v90(constB178, 1)) | ((~v90(constB179, 2)) <=> v90(constB178, 2)) | ((~v90(constB179, 0)) <=> v90(constB178, 0))) | (~((~v90(constB179, 1)) <=> v90(constB178, 1)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22565,plain,
% 7.13/5.35 (~((~v90(constB179, 1)) <=> v90(constB178, 1))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22564, 17019])).
% 7.13/5.35 tff(22566,plain,
% 7.13/5.35 ((((~v129(constB178, 2)) <=> v127(constB177, 2)) | ((~v129(constB178, 1)) <=> v127(constB177, 1)) | ((~v129(constB178, 0)) <=> v127(constB177, 0))) | (~((~v129(constB178, 1)) <=> v127(constB177, 1)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22567,plain,
% 7.13/5.35 (~((~v129(constB178, 1)) <=> v127(constB177, 1))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22566, 17028])).
% 7.13/5.35 tff(22568,plain,
% 7.13/5.35 ((((~v127(constB177, 2)) <=> v130(constB177, 2)) | ((~v127(constB177, 1)) <=> v130(constB177, 1)) | ((~v127(constB177, 0)) <=> v130(constB177, 0))) | (~((~v127(constB177, 1)) <=> v130(constB177, 1)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22569,plain,
% 7.13/5.35 (~((~v127(constB177, 1)) <=> v130(constB177, 1))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22568, 17042])).
% 7.13/5.35 tff(22570,plain,
% 7.13/5.35 ((v130(constB177, 2) | v130(constB177, 0) | (~v130(constB177, 1))) | v130(constB177, 1)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22571,plain,
% 7.13/5.35 (v130(constB177, 1)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22570, 22429])).
% 7.13/5.35 tff(22572,plain,
% 7.13/5.35 (((~v127(constB177, 1)) <=> v130(constB177, 1)) | v127(constB177, 1) | (~v130(constB177, 1))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22573,plain,
% 7.13/5.35 (v127(constB177, 1)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22572, 22571, 22569])).
% 7.13/5.35 tff(22574,plain,
% 7.13/5.35 (((~v129(constB178, 1)) <=> v127(constB177, 1)) | v129(constB178, 1) | (~v127(constB177, 1))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22575,plain,
% 7.13/5.35 (v129(constB178, 1)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22574, 22573, 22567])).
% 7.13/5.35 tff(22576,plain,
% 7.13/5.35 ((((~v90(constB178, 0)) <=> v129(constB178, 0)) | ((~v90(constB178, 2)) <=> v129(constB178, 2)) | ((~v90(constB178, 1)) <=> v129(constB178, 1))) | (~((~v90(constB178, 1)) <=> v129(constB178, 1)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22577,plain,
% 7.13/5.35 (~((~v90(constB178, 1)) <=> v129(constB178, 1))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22576, 22539])).
% 7.13/5.35 tff(22578,plain,
% 7.13/5.35 (((~v90(constB178, 1)) <=> v129(constB178, 1)) | v90(constB178, 1) | (~v129(constB178, 1))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22579,plain,
% 7.13/5.35 (v90(constB178, 1)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22578, 22577, 22575])).
% 7.13/5.35 tff(22580,plain,
% 7.13/5.35 (((~v90(constB179, 1)) <=> v90(constB178, 1)) | v90(constB179, 1) | (~v90(constB178, 1))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22581,plain,
% 7.13/5.35 (v90(constB179, 1)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22580, 22579, 22565])).
% 7.13/5.35 tff(22582,plain,
% 7.13/5.35 ((~(v90(constB179, 2) | v90(constB179, 0) | (~v90(constB179, 1)))) | v90(constB179, 2) | v90(constB179, 0) | (~v90(constB179, 1))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22583,plain,
% 7.13/5.35 (~(v90(constB179, 2) | v90(constB179, 0) | (~v90(constB179, 1)))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22582, 22581, 22563, 22545])).
% 7.13/5.35 tff(22584,plain,
% 7.13/5.35 ((~(v121(constB179) <=> (~(v90(constB179, 2) | v90(constB179, 0) | (~v90(constB179, 1)))))) | v121(constB179) | (v90(constB179, 2) | v90(constB179, 0) | (~v90(constB179, 1)))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22585,plain,
% 7.13/5.35 (v121(constB179)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22584, 22583, 16985])).
% 7.13/5.35 tff(22586,plain,
% 7.13/5.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB179)) | (~(v130(constB179, 2) | (~v130(constB179, 1)) | (~v130(constB179, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB179)) | (~(v130(constB179, 2) | (~v130(constB179, 1)) | (~v130(constB179, 0)))))),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22587,plain,
% 7.13/5.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB179)) | (~(v130(constB179, 2) | (~v130(constB179, 1)) | (~v130(constB179, 0)))))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22588,plain,
% 7.13/5.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB179)) | (~(v130(constB179, 2) | (~v130(constB179, 1)) | (~v130(constB179, 0))))),
% 7.13/5.35 inference(modus_ponens,[status(thm)],[22587, 22586])).
% 7.13/5.35 tff(22589,plain,
% 7.13/5.35 ((~v121(constB179)) | (~(v130(constB179, 2) | (~v130(constB179, 1)) | (~v130(constB179, 0))))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22588, 5420])).
% 7.13/5.35 tff(22590,plain,
% 7.13/5.35 (~(v130(constB179, 2) | (~v130(constB179, 1)) | (~v130(constB179, 0)))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22589, 22585])).
% 7.13/5.35 tff(22591,plain,
% 7.13/5.35 ((v130(constB179, 2) | (~v130(constB179, 1)) | (~v130(constB179, 0))) | (~v130(constB179, 2))),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22592,plain,
% 7.13/5.35 (~v130(constB179, 2)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22591, 22590])).
% 7.13/5.35 tff(22593,plain,
% 7.13/5.35 (((~v127(constB179, 2)) <=> v130(constB179, 2)) | (~v127(constB179, 2)) | v130(constB179, 2)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22594,plain,
% 7.13/5.35 (~v127(constB179, 2)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22593, 22592, 16978])).
% 7.13/5.35 tff(22595,plain,
% 7.13/5.35 (((~v129(constB180, 2)) <=> v127(constB179, 2)) | (~v129(constB180, 2)) | v127(constB179, 2)),
% 7.13/5.35 inference(tautology,[status(thm)],[])).
% 7.13/5.35 tff(22596,plain,
% 7.13/5.35 (~v129(constB180, 2)),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22595, 22594, 16964])).
% 7.13/5.35 tff(22597,plain,
% 7.13/5.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))))),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22598,plain,
% 7.13/5.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))))),
% 7.13/5.35 inference(quant_inst,[status(thm)],[])).
% 7.13/5.35 tff(22599,plain,
% 7.13/5.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180)))))),
% 7.13/5.35 inference(modus_ponens,[status(thm)],[22598, 22597])).
% 7.13/5.35 tff(22600,plain,
% 7.13/5.35 (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))),
% 7.13/5.35 inference(unit_resolution,[status(thm)],[22599, 16958, 273])).
% 7.13/5.35 tff(22601,plain,
% 7.13/5.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22602,plain,
% 7.13/5.35 (((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180)))))) <=> ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))),
% 7.13/5.35 inference(rewrite,[status(thm)],[])).
% 7.13/5.35 tff(22603,plain,
% 7.13/5.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))))),
% 7.13/5.36 inference(monotonicity,[status(thm)],[22602])).
% 7.13/5.36 tff(22604,plain,
% 7.13/5.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))),
% 7.13/5.36 inference(transitivity,[status(thm)],[22603, 22601])).
% 7.13/5.36 tff(22605,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180))))))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22606,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))),
% 7.13/5.36 inference(modus_ponens,[status(thm)],[22605, 22604])).
% 7.13/5.36 tff(22607,plain,
% 7.13/5.36 (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22606, 16958, 293])).
% 7.13/5.36 tff(22608,plain,
% 7.13/5.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180)))),
% 7.13/5.36 inference(rewrite,[status(thm)],[])).
% 7.13/5.36 tff(22609,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22610,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180))),
% 7.13/5.36 inference(modus_ponens,[status(thm)],[22609, 22608])).
% 7.13/5.36 tff(22611,plain,
% 7.13/5.36 ((~v102(constB180)) <=> v104(constB180)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22610, 16958, 4609])).
% 7.13/5.36 tff(22612,plain,
% 7.13/5.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179)))),
% 7.13/5.36 inference(rewrite,[status(thm)],[])).
% 7.13/5.36 tff(22613,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22614,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179))),
% 7.13/5.36 inference(modus_ponens,[status(thm)],[22613, 22612])).
% 7.13/5.36 tff(22615,plain,
% 7.13/5.36 (v104(constB180) <=> v1(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22614, 16958, 4623])).
% 7.13/5.36 tff(22616,plain,
% 7.13/5.36 ((~(v104(constB180) <=> v1(constB179))) | (~v104(constB180)) | v1(constB179)),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22617,plain,
% 7.13/5.36 ((~(v104(constB180) <=> v1(constB179))) | (~v104(constB180))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22616, 17002])).
% 7.13/5.36 tff(22618,plain,
% 7.13/5.36 (~v104(constB180)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22617, 22615])).
% 7.13/5.36 tff(22619,plain,
% 7.13/5.36 ((~((~v102(constB180)) <=> v104(constB180))) | v102(constB180) | v104(constB180)),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22620,plain,
% 7.13/5.36 (v102(constB180)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22619, 22618, 22611])).
% 7.13/5.36 tff(22621,plain,
% 7.13/5.36 (v1(constB180) <=> v1(constB180)),
% 7.13/5.36 inference(rewrite,[status(thm)],[])).
% 7.13/5.36 tff(22622,axiom,(v1(constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_180')).
% 7.13/5.36 tff(22623,plain,
% 7.13/5.36 (v1(constB180)),
% 7.13/5.36 inference(modus_ponens,[status(thm)],[22622, 22621])).
% 7.13/5.36 tff(22624,plain,
% 7.13/5.36 ((~((~v1(constB180)) | (~v102(constB180)))) | (~v1(constB180)) | (~v102(constB180))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22625,plain,
% 7.13/5.36 ((~((~v1(constB180)) | (~v102(constB180)))) | (~v102(constB180))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22624, 22623])).
% 7.13/5.36 tff(22626,plain,
% 7.13/5.36 (~((~v1(constB180)) | (~v102(constB180)))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22625, 22620])).
% 7.13/5.36 tff(22627,plain,
% 7.13/5.36 ((~(v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))) | v101(constB180) | ((~v1(constB180)) | (~v102(constB180)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22628,plain,
% 7.13/5.36 (v101(constB180)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22627, 22626, 22607])).
% 7.13/5.36 tff(22629,plain,
% 7.13/5.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179)))),
% 7.13/5.36 inference(rewrite,[status(thm)],[])).
% 7.13/5.36 tff(22630,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22631,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179))),
% 7.13/5.36 inference(modus_ponens,[status(thm)],[22630, 22629])).
% 7.13/5.36 tff(22632,plain,
% 7.13/5.36 (v110(constB180) <=> v108(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22631, 16958, 4650])).
% 7.13/5.36 tff(22633,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB179) <=> (v111(constB179) | v112(constB179)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22634,plain,
% 7.13/5.36 (v108(constB179) <=> (v111(constB179) | v112(constB179))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22633, 4661])).
% 7.13/5.36 tff(22635,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179)))))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22636,plain,
% 7.13/5.36 (v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179))))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22635, 4673])).
% 7.13/5.36 tff(22637,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB179) <=> (v114(constB179) | v125(constB179)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22638,plain,
% 7.13/5.36 (v113(constB179) <=> (v114(constB179) | v125(constB179))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22637, 4682])).
% 7.13/5.36 tff(22639,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB179) <=> (v115(constB179) | v124(constB179)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22640,plain,
% 7.13/5.36 (v114(constB179) <=> (v115(constB179) | v124(constB179))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22639, 4691])).
% 7.13/5.36 tff(22641,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB179) <=> (v116(constB179) | v123(constB179)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22642,plain,
% 7.13/5.36 (v115(constB179) <=> (v116(constB179) | v123(constB179))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22641, 4700])).
% 7.13/5.36 tff(22643,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB179) <=> (v117(constB179) | v122(constB179)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22644,plain,
% 7.13/5.36 (v116(constB179) <=> (v117(constB179) | v122(constB179))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22643, 4709])).
% 7.13/5.36 tff(22645,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB179) <=> (v118(constB179) | v121(constB179)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22646,plain,
% 7.13/5.36 (v117(constB179) <=> (v118(constB179) | v121(constB179))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22645, 4718])).
% 7.13/5.36 tff(22647,plain,
% 7.13/5.36 ((v118(constB179) | v121(constB179)) | (~v121(constB179))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22648,plain,
% 7.13/5.36 (v118(constB179) | v121(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22647, 22585])).
% 7.13/5.36 tff(22649,plain,
% 7.13/5.36 ((~(v117(constB179) <=> (v118(constB179) | v121(constB179)))) | v117(constB179) | (~(v118(constB179) | v121(constB179)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22650,plain,
% 7.13/5.36 (v117(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22649, 22648, 22646])).
% 7.13/5.36 tff(22651,plain,
% 7.13/5.36 ((v117(constB179) | v122(constB179)) | (~v117(constB179))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22652,plain,
% 7.13/5.36 (v117(constB179) | v122(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22651, 22650])).
% 7.13/5.36 tff(22653,plain,
% 7.13/5.36 ((~(v116(constB179) <=> (v117(constB179) | v122(constB179)))) | v116(constB179) | (~(v117(constB179) | v122(constB179)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22654,plain,
% 7.13/5.36 (v116(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22653, 22652, 22644])).
% 7.13/5.36 tff(22655,plain,
% 7.13/5.36 ((v116(constB179) | v123(constB179)) | (~v116(constB179))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22656,plain,
% 7.13/5.36 (v116(constB179) | v123(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22655, 22654])).
% 7.13/5.36 tff(22657,plain,
% 7.13/5.36 ((~(v115(constB179) <=> (v116(constB179) | v123(constB179)))) | v115(constB179) | (~(v116(constB179) | v123(constB179)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22658,plain,
% 7.13/5.36 (v115(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22657, 22656, 22642])).
% 7.13/5.36 tff(22659,plain,
% 7.13/5.36 ((v115(constB179) | v124(constB179)) | (~v115(constB179))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22660,plain,
% 7.13/5.36 (v115(constB179) | v124(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22659, 22658])).
% 7.13/5.36 tff(22661,plain,
% 7.13/5.36 ((~(v114(constB179) <=> (v115(constB179) | v124(constB179)))) | v114(constB179) | (~(v115(constB179) | v124(constB179)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22662,plain,
% 7.13/5.36 (v114(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22661, 22660, 22640])).
% 7.13/5.36 tff(22663,plain,
% 7.13/5.36 ((v114(constB179) | v125(constB179)) | (~v114(constB179))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22664,plain,
% 7.13/5.36 (v114(constB179) | v125(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22663, 22662])).
% 7.13/5.36 tff(22665,plain,
% 7.13/5.36 ((~(v113(constB179) <=> (v114(constB179) | v125(constB179)))) | v113(constB179) | (~(v114(constB179) | v125(constB179)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22666,plain,
% 7.13/5.36 (v113(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22665, 22664, 22638])).
% 7.13/5.36 tff(22667,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB179)) <=> v111(constB179))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22668,plain,
% 7.13/5.36 ((~v126(constB179)) <=> v111(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22667, 4761])).
% 7.13/5.36 tff(22669,plain,
% 7.13/5.36 ((~((~v126(constB179)) <=> v111(constB179))) | v126(constB179) | v111(constB179)),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22670,plain,
% 7.13/5.36 ((~((~v126(constB179)) <=> v111(constB179))) | v126(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22669, 16971])).
% 7.13/5.36 tff(22671,plain,
% 7.13/5.36 (v126(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22670, 22668])).
% 7.13/5.36 tff(22672,plain,
% 7.13/5.36 ((~((~v113(constB179)) | (~v126(constB179)))) | (~v113(constB179)) | (~v126(constB179))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22673,plain,
% 7.13/5.36 ((~((~v113(constB179)) | (~v126(constB179)))) | (~v113(constB179))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22672, 22671])).
% 7.13/5.36 tff(22674,plain,
% 7.13/5.36 (~((~v113(constB179)) | (~v126(constB179)))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22673, 22666])).
% 7.13/5.36 tff(22675,plain,
% 7.13/5.36 ((~(v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179)))))) | v112(constB179) | ((~v113(constB179)) | (~v126(constB179)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22676,plain,
% 7.13/5.36 (v112(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22675, 22674, 22636])).
% 7.13/5.36 tff(22677,plain,
% 7.13/5.36 ((v111(constB179) | v112(constB179)) | (~v112(constB179))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22678,plain,
% 7.13/5.36 (v111(constB179) | v112(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22677, 22676])).
% 7.13/5.36 tff(22679,plain,
% 7.13/5.36 ((~(v108(constB179) <=> (v111(constB179) | v112(constB179)))) | v108(constB179) | (~(v111(constB179) | v112(constB179)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22680,plain,
% 7.13/5.36 (v108(constB179)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22679, 22678, 22634])).
% 7.13/5.36 tff(22681,plain,
% 7.13/5.36 ((~(v110(constB180) <=> v108(constB179))) | v110(constB180) | (~v108(constB179))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22682,plain,
% 7.13/5.36 (v110(constB180)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22681, 22680, 22632])).
% 7.13/5.36 tff(22683,plain,
% 7.13/5.36 ((~((~v101(constB180)) | (~v110(constB180)))) | (~v101(constB180)) | (~v110(constB180))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22684,plain,
% 7.13/5.36 (~((~v101(constB180)) | (~v110(constB180)))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22683, 22682, 22628])).
% 7.13/5.36 tff(22685,plain,
% 7.13/5.36 ((~(v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180)))))) | v100(constB180) | ((~v101(constB180)) | (~v110(constB180)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22686,plain,
% 7.13/5.36 (v100(constB180)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22685, 22684, 22600])).
% 7.13/5.36 tff(22687,plain,
% 7.13/5.36 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB180)) | (~(((~v90(constB180, 2)) <=> v129(constB180, 2)) | ((~v90(constB180, 1)) <=> v129(constB180, 1)) | ((~v90(constB180, 0)) <=> v129(constB180, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB180)) | (~(((~v90(constB180, 2)) <=> v129(constB180, 2)) | ((~v90(constB180, 1)) <=> v129(constB180, 1)) | ((~v90(constB180, 0)) <=> v129(constB180, 0)))))),
% 7.13/5.36 inference(rewrite,[status(thm)],[])).
% 7.13/5.36 tff(22688,plain,
% 7.13/5.36 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB180)) | (~(((~v90(constB180, 2)) <=> v129(constB180, 2)) | ((~v90(constB180, 1)) <=> v129(constB180, 1)) | ((~v90(constB180, 0)) <=> v129(constB180, 0)))))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22689,plain,
% 7.13/5.36 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB180)) | (~(((~v90(constB180, 2)) <=> v129(constB180, 2)) | ((~v90(constB180, 1)) <=> v129(constB180, 1)) | ((~v90(constB180, 0)) <=> v129(constB180, 0))))),
% 7.13/5.36 inference(modus_ponens,[status(thm)],[22688, 22687])).
% 7.13/5.36 tff(22690,plain,
% 7.13/5.36 ((~v100(constB180)) | (~(((~v90(constB180, 2)) <=> v129(constB180, 2)) | ((~v90(constB180, 1)) <=> v129(constB180, 1)) | ((~v90(constB180, 0)) <=> v129(constB180, 0))))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22689, 4794])).
% 7.13/5.36 tff(22691,plain,
% 7.13/5.36 (~(((~v90(constB180, 2)) <=> v129(constB180, 2)) | ((~v90(constB180, 1)) <=> v129(constB180, 1)) | ((~v90(constB180, 0)) <=> v129(constB180, 0)))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22690, 22686])).
% 7.13/5.36 tff(22692,plain,
% 7.13/5.36 ((((~v90(constB180, 2)) <=> v129(constB180, 2)) | ((~v90(constB180, 1)) <=> v129(constB180, 1)) | ((~v90(constB180, 0)) <=> v129(constB180, 0))) | (~((~v90(constB180, 2)) <=> v129(constB180, 2)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22693,plain,
% 7.13/5.36 (~((~v90(constB180, 2)) <=> v129(constB180, 2))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22692, 22691])).
% 7.13/5.36 tff(22694,plain,
% 7.13/5.36 (((~v90(constB180, 2)) <=> v129(constB180, 2)) | (~v90(constB180, 2)) | v129(constB180, 2)),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22695,plain,
% 7.13/5.36 (~v90(constB180, 2)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22694, 22693, 22596])).
% 7.13/5.36 tff(22696,plain,
% 7.13/5.36 (((~v90(constB181, 2)) <=> v90(constB180, 2)) | (~v90(constB181, 2)) | v90(constB180, 2)),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22697,plain,
% 7.13/5.36 (~v90(constB181, 2)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22696, 22695, 16955])).
% 7.13/5.36 tff(22698,plain,
% 7.13/5.36 ((((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 0)) <=> v90(constB180, 0))) | (~((~v90(constB181, 0)) <=> v90(constB180, 0)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22699,plain,
% 7.13/5.36 (~((~v90(constB181, 0)) <=> v90(constB180, 0))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22698, 16953])).
% 7.13/5.36 tff(22700,plain,
% 7.13/5.36 ((((~v129(constB180, 2)) <=> v127(constB179, 2)) | ((~v129(constB180, 1)) <=> v127(constB179, 1)) | ((~v129(constB180, 0)) <=> v127(constB179, 0))) | (~((~v129(constB180, 0)) <=> v127(constB179, 0)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22701,plain,
% 7.13/5.36 (~((~v129(constB180, 0)) <=> v127(constB179, 0))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22700, 16962])).
% 7.13/5.36 tff(22702,plain,
% 7.13/5.36 ((((~v127(constB179, 2)) <=> v130(constB179, 2)) | ((~v127(constB179, 1)) <=> v130(constB179, 1)) | ((~v127(constB179, 0)) <=> v130(constB179, 0))) | (~((~v127(constB179, 0)) <=> v130(constB179, 0)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22703,plain,
% 7.13/5.36 (~((~v127(constB179, 0)) <=> v130(constB179, 0))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22702, 16976])).
% 7.13/5.36 tff(22704,plain,
% 7.13/5.36 ((v130(constB179, 2) | (~v130(constB179, 1)) | (~v130(constB179, 0))) | v130(constB179, 0)),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22705,plain,
% 7.13/5.36 (v130(constB179, 0)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22704, 22590])).
% 7.13/5.36 tff(22706,plain,
% 7.13/5.36 (((~v127(constB179, 0)) <=> v130(constB179, 0)) | v127(constB179, 0) | (~v130(constB179, 0))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22707,plain,
% 7.13/5.36 (v127(constB179, 0)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22706, 22705, 22703])).
% 7.13/5.36 tff(22708,plain,
% 7.13/5.36 (((~v129(constB180, 0)) <=> v127(constB179, 0)) | v129(constB180, 0) | (~v127(constB179, 0))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22709,plain,
% 7.13/5.36 (v129(constB180, 0)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22708, 22707, 22701])).
% 7.13/5.36 tff(22710,plain,
% 7.13/5.36 ((((~v90(constB180, 2)) <=> v129(constB180, 2)) | ((~v90(constB180, 1)) <=> v129(constB180, 1)) | ((~v90(constB180, 0)) <=> v129(constB180, 0))) | (~((~v90(constB180, 0)) <=> v129(constB180, 0)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22711,plain,
% 7.13/5.36 (~((~v90(constB180, 0)) <=> v129(constB180, 0))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22710, 22691])).
% 7.13/5.36 tff(22712,plain,
% 7.13/5.36 (((~v90(constB180, 0)) <=> v129(constB180, 0)) | v90(constB180, 0) | (~v129(constB180, 0))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22713,plain,
% 7.13/5.36 (v90(constB180, 0)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22712, 22711, 22709])).
% 7.13/5.36 tff(22714,plain,
% 7.13/5.36 (((~v90(constB181, 0)) <=> v90(constB180, 0)) | v90(constB181, 0) | (~v90(constB180, 0))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22715,plain,
% 7.13/5.36 (v90(constB181, 0)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22714, 22713, 22699])).
% 7.13/5.36 tff(22716,plain,
% 7.13/5.36 ((((~v90(constB181, 1)) <=> v90(constB180, 1)) | ((~v90(constB181, 2)) <=> v90(constB180, 2)) | ((~v90(constB181, 0)) <=> v90(constB180, 0))) | (~((~v90(constB181, 1)) <=> v90(constB180, 1)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22717,plain,
% 7.13/5.36 (~((~v90(constB181, 1)) <=> v90(constB180, 1))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22716, 16953])).
% 7.13/5.36 tff(22718,plain,
% 7.13/5.36 ((((~v129(constB180, 2)) <=> v127(constB179, 2)) | ((~v129(constB180, 1)) <=> v127(constB179, 1)) | ((~v129(constB180, 0)) <=> v127(constB179, 0))) | (~((~v129(constB180, 1)) <=> v127(constB179, 1)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22719,plain,
% 7.13/5.36 (~((~v129(constB180, 1)) <=> v127(constB179, 1))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22718, 16962])).
% 7.13/5.36 tff(22720,plain,
% 7.13/5.36 ((((~v127(constB179, 2)) <=> v130(constB179, 2)) | ((~v127(constB179, 1)) <=> v130(constB179, 1)) | ((~v127(constB179, 0)) <=> v130(constB179, 0))) | (~((~v127(constB179, 1)) <=> v130(constB179, 1)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22721,plain,
% 7.13/5.36 (~((~v127(constB179, 1)) <=> v130(constB179, 1))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22720, 16976])).
% 7.13/5.36 tff(22722,plain,
% 7.13/5.36 ((v130(constB179, 2) | (~v130(constB179, 1)) | (~v130(constB179, 0))) | v130(constB179, 1)),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22723,plain,
% 7.13/5.36 (v130(constB179, 1)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22722, 22590])).
% 7.13/5.36 tff(22724,plain,
% 7.13/5.36 (((~v127(constB179, 1)) <=> v130(constB179, 1)) | v127(constB179, 1) | (~v130(constB179, 1))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22725,plain,
% 7.13/5.36 (v127(constB179, 1)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22724, 22723, 22721])).
% 7.13/5.36 tff(22726,plain,
% 7.13/5.36 (((~v129(constB180, 1)) <=> v127(constB179, 1)) | v129(constB180, 1) | (~v127(constB179, 1))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22727,plain,
% 7.13/5.36 (v129(constB180, 1)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22726, 22725, 22719])).
% 7.13/5.36 tff(22728,plain,
% 7.13/5.36 ((((~v90(constB180, 2)) <=> v129(constB180, 2)) | ((~v90(constB180, 1)) <=> v129(constB180, 1)) | ((~v90(constB180, 0)) <=> v129(constB180, 0))) | (~((~v90(constB180, 1)) <=> v129(constB180, 1)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22729,plain,
% 7.13/5.36 (~((~v90(constB180, 1)) <=> v129(constB180, 1))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22728, 22691])).
% 7.13/5.36 tff(22730,plain,
% 7.13/5.36 (((~v90(constB180, 1)) <=> v129(constB180, 1)) | v90(constB180, 1) | (~v129(constB180, 1))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22731,plain,
% 7.13/5.36 (v90(constB180, 1)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22730, 22729, 22727])).
% 7.13/5.36 tff(22732,plain,
% 7.13/5.36 (((~v90(constB181, 1)) <=> v90(constB180, 1)) | v90(constB181, 1) | (~v90(constB180, 1))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22733,plain,
% 7.13/5.36 (v90(constB181, 1)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22732, 22731, 22717])).
% 7.13/5.36 tff(22734,plain,
% 7.13/5.36 ((~(v90(constB181, 2) | (~v90(constB181, 1)) | (~v90(constB181, 0)))) | v90(constB181, 2) | (~v90(constB181, 1)) | (~v90(constB181, 0))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22735,plain,
% 7.13/5.36 (~(v90(constB181, 2) | (~v90(constB181, 1)) | (~v90(constB181, 0)))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22734, 22733, 22715, 22697])).
% 7.13/5.36 tff(22736,plain,
% 7.13/5.36 ((~(v122(constB181) <=> (~(v90(constB181, 2) | (~v90(constB181, 1)) | (~v90(constB181, 0)))))) | v122(constB181) | (v90(constB181, 2) | (~v90(constB181, 1)) | (~v90(constB181, 0)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22737,plain,
% 7.13/5.36 (v122(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22736, 22735, 16919])).
% 7.13/5.36 tff(22738,plain,
% 7.13/5.36 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB181)) | (~(v130(constB181, 1) | v130(constB181, 0) | (~v130(constB181, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB181)) | (~(v130(constB181, 1) | v130(constB181, 0) | (~v130(constB181, 2)))))),
% 7.13/5.36 inference(rewrite,[status(thm)],[])).
% 7.13/5.36 tff(22739,plain,
% 7.13/5.36 (((~v122(constB181)) | (~(v130(constB181, 0) | v130(constB181, 1) | (~v130(constB181, 2))))) <=> ((~v122(constB181)) | (~(v130(constB181, 1) | v130(constB181, 0) | (~v130(constB181, 2)))))),
% 7.13/5.36 inference(rewrite,[status(thm)],[])).
% 7.13/5.36 tff(22740,plain,
% 7.13/5.36 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB181)) | (~(v130(constB181, 0) | v130(constB181, 1) | (~v130(constB181, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB181)) | (~(v130(constB181, 1) | v130(constB181, 0) | (~v130(constB181, 2))))))),
% 7.13/5.36 inference(monotonicity,[status(thm)],[22739])).
% 7.13/5.36 tff(22741,plain,
% 7.13/5.36 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB181)) | (~(v130(constB181, 0) | v130(constB181, 1) | (~v130(constB181, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB181)) | (~(v130(constB181, 1) | v130(constB181, 0) | (~v130(constB181, 2)))))),
% 7.13/5.36 inference(transitivity,[status(thm)],[22740, 22738])).
% 7.13/5.36 tff(22742,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB181)) | (~(v130(constB181, 0) | v130(constB181, 1) | (~v130(constB181, 2)))))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22743,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB181)) | (~(v130(constB181, 1) | v130(constB181, 0) | (~v130(constB181, 2))))),
% 7.13/5.36 inference(modus_ponens,[status(thm)],[22742, 22741])).
% 7.13/5.36 tff(22744,plain,
% 7.13/5.36 ((~v122(constB181)) | (~(v130(constB181, 1) | v130(constB181, 0) | (~v130(constB181, 2))))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22743, 5588])).
% 7.13/5.36 tff(22745,plain,
% 7.13/5.36 (~(v130(constB181, 1) | v130(constB181, 0) | (~v130(constB181, 2)))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22744, 22737])).
% 7.13/5.36 tff(22746,plain,
% 7.13/5.36 ((v130(constB181, 1) | v130(constB181, 0) | (~v130(constB181, 2))) | v130(constB181, 2)),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22747,plain,
% 7.13/5.36 (v130(constB181, 2)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22746, 22745])).
% 7.13/5.36 tff(22748,plain,
% 7.13/5.36 (((~v127(constB181, 2)) <=> v130(constB181, 2)) | v127(constB181, 2) | (~v130(constB181, 2))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22749,plain,
% 7.13/5.36 (v127(constB181, 2)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22748, 22747, 16912])).
% 7.13/5.36 tff(22750,plain,
% 7.13/5.36 (((~v129(constB182, 2)) <=> v127(constB181, 2)) | v129(constB182, 2) | (~v127(constB181, 2))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22751,plain,
% 7.13/5.36 (v129(constB182, 2)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22750, 22749, 16898])).
% 7.13/5.36 tff(22752,plain,
% 7.13/5.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))))),
% 7.13/5.36 inference(rewrite,[status(thm)],[])).
% 7.13/5.36 tff(22753,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22754,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182)))))),
% 7.13/5.36 inference(modus_ponens,[status(thm)],[22753, 22752])).
% 7.13/5.36 tff(22755,plain,
% 7.13/5.36 (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22754, 16892, 273])).
% 7.13/5.36 tff(22756,plain,
% 7.13/5.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))),
% 7.13/5.36 inference(rewrite,[status(thm)],[])).
% 7.13/5.36 tff(22757,plain,
% 7.13/5.36 (((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182)))))) <=> ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))),
% 7.13/5.36 inference(rewrite,[status(thm)],[])).
% 7.13/5.36 tff(22758,plain,
% 7.13/5.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))))),
% 7.13/5.36 inference(monotonicity,[status(thm)],[22757])).
% 7.13/5.36 tff(22759,plain,
% 7.13/5.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))),
% 7.13/5.36 inference(transitivity,[status(thm)],[22758, 22756])).
% 7.13/5.36 tff(22760,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182))))))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22761,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))),
% 7.13/5.36 inference(modus_ponens,[status(thm)],[22760, 22759])).
% 7.13/5.36 tff(22762,plain,
% 7.13/5.36 (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22761, 16892, 293])).
% 7.13/5.36 tff(22763,plain,
% 7.13/5.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182)))),
% 7.13/5.36 inference(rewrite,[status(thm)],[])).
% 7.13/5.36 tff(22764,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22765,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182))),
% 7.13/5.36 inference(modus_ponens,[status(thm)],[22764, 22763])).
% 7.13/5.36 tff(22766,plain,
% 7.13/5.36 ((~v102(constB182)) <=> v104(constB182)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22765, 16892, 4609])).
% 7.13/5.36 tff(22767,plain,
% 7.13/5.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181)))),
% 7.13/5.36 inference(rewrite,[status(thm)],[])).
% 7.13/5.36 tff(22768,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22769,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181))),
% 7.13/5.36 inference(modus_ponens,[status(thm)],[22768, 22767])).
% 7.13/5.36 tff(22770,plain,
% 7.13/5.36 (v104(constB182) <=> v1(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22769, 16892, 4623])).
% 7.13/5.36 tff(22771,plain,
% 7.13/5.36 ((~(v104(constB182) <=> v1(constB181))) | (~v104(constB182)) | v1(constB181)),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22772,plain,
% 7.13/5.36 ((~(v104(constB182) <=> v1(constB181))) | (~v104(constB182))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22771, 16936])).
% 7.13/5.36 tff(22773,plain,
% 7.13/5.36 (~v104(constB182)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22772, 22770])).
% 7.13/5.36 tff(22774,plain,
% 7.13/5.36 ((~((~v102(constB182)) <=> v104(constB182))) | v102(constB182) | v104(constB182)),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22775,plain,
% 7.13/5.36 (v102(constB182)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22774, 22773, 22766])).
% 7.13/5.36 tff(22776,plain,
% 7.13/5.36 (v1(constB182) <=> v1(constB182)),
% 7.13/5.36 inference(rewrite,[status(thm)],[])).
% 7.13/5.36 tff(22777,axiom,(v1(constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_182')).
% 7.13/5.36 tff(22778,plain,
% 7.13/5.36 (v1(constB182)),
% 7.13/5.36 inference(modus_ponens,[status(thm)],[22777, 22776])).
% 7.13/5.36 tff(22779,plain,
% 7.13/5.36 ((~((~v1(constB182)) | (~v102(constB182)))) | (~v1(constB182)) | (~v102(constB182))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22780,plain,
% 7.13/5.36 ((~((~v1(constB182)) | (~v102(constB182)))) | (~v102(constB182))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22779, 22778])).
% 7.13/5.36 tff(22781,plain,
% 7.13/5.36 (~((~v1(constB182)) | (~v102(constB182)))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22780, 22775])).
% 7.13/5.36 tff(22782,plain,
% 7.13/5.36 ((~(v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))) | v101(constB182) | ((~v1(constB182)) | (~v102(constB182)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22783,plain,
% 7.13/5.36 (v101(constB182)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22782, 22781, 22762])).
% 7.13/5.36 tff(22784,plain,
% 7.13/5.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181)))),
% 7.13/5.36 inference(rewrite,[status(thm)],[])).
% 7.13/5.36 tff(22785,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22786,plain,
% 7.13/5.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181))),
% 7.13/5.36 inference(modus_ponens,[status(thm)],[22785, 22784])).
% 7.13/5.36 tff(22787,plain,
% 7.13/5.36 (v110(constB182) <=> v108(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22786, 16892, 4650])).
% 7.13/5.36 tff(22788,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB181) <=> (v111(constB181) | v112(constB181)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22789,plain,
% 7.13/5.36 (v108(constB181) <=> (v111(constB181) | v112(constB181))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22788, 4661])).
% 7.13/5.36 tff(22790,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181)))))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22791,plain,
% 7.13/5.36 (v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181))))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22790, 4673])).
% 7.13/5.36 tff(22792,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB181) <=> (v114(constB181) | v125(constB181)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22793,plain,
% 7.13/5.36 (v113(constB181) <=> (v114(constB181) | v125(constB181))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22792, 4682])).
% 7.13/5.36 tff(22794,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB181) <=> (v115(constB181) | v124(constB181)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22795,plain,
% 7.13/5.36 (v114(constB181) <=> (v115(constB181) | v124(constB181))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22794, 4691])).
% 7.13/5.36 tff(22796,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB181) <=> (v116(constB181) | v123(constB181)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22797,plain,
% 7.13/5.36 (v115(constB181) <=> (v116(constB181) | v123(constB181))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22796, 4700])).
% 7.13/5.36 tff(22798,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB181) <=> (v117(constB181) | v122(constB181)))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22799,plain,
% 7.13/5.36 (v116(constB181) <=> (v117(constB181) | v122(constB181))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22798, 4709])).
% 7.13/5.36 tff(22800,plain,
% 7.13/5.36 ((v117(constB181) | v122(constB181)) | (~v122(constB181))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22801,plain,
% 7.13/5.36 (v117(constB181) | v122(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22800, 22737])).
% 7.13/5.36 tff(22802,plain,
% 7.13/5.36 ((~(v116(constB181) <=> (v117(constB181) | v122(constB181)))) | v116(constB181) | (~(v117(constB181) | v122(constB181)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22803,plain,
% 7.13/5.36 (v116(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22802, 22801, 22799])).
% 7.13/5.36 tff(22804,plain,
% 7.13/5.36 ((v116(constB181) | v123(constB181)) | (~v116(constB181))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22805,plain,
% 7.13/5.36 (v116(constB181) | v123(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22804, 22803])).
% 7.13/5.36 tff(22806,plain,
% 7.13/5.36 ((~(v115(constB181) <=> (v116(constB181) | v123(constB181)))) | v115(constB181) | (~(v116(constB181) | v123(constB181)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22807,plain,
% 7.13/5.36 (v115(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22806, 22805, 22797])).
% 7.13/5.36 tff(22808,plain,
% 7.13/5.36 ((v115(constB181) | v124(constB181)) | (~v115(constB181))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22809,plain,
% 7.13/5.36 (v115(constB181) | v124(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22808, 22807])).
% 7.13/5.36 tff(22810,plain,
% 7.13/5.36 ((~(v114(constB181) <=> (v115(constB181) | v124(constB181)))) | v114(constB181) | (~(v115(constB181) | v124(constB181)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22811,plain,
% 7.13/5.36 (v114(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22810, 22809, 22795])).
% 7.13/5.36 tff(22812,plain,
% 7.13/5.36 ((v114(constB181) | v125(constB181)) | (~v114(constB181))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22813,plain,
% 7.13/5.36 (v114(constB181) | v125(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22812, 22811])).
% 7.13/5.36 tff(22814,plain,
% 7.13/5.36 ((~(v113(constB181) <=> (v114(constB181) | v125(constB181)))) | v113(constB181) | (~(v114(constB181) | v125(constB181)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22815,plain,
% 7.13/5.36 (v113(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22814, 22813, 22793])).
% 7.13/5.36 tff(22816,plain,
% 7.13/5.36 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB181)) <=> v111(constB181))),
% 7.13/5.36 inference(quant_inst,[status(thm)],[])).
% 7.13/5.36 tff(22817,plain,
% 7.13/5.36 ((~v126(constB181)) <=> v111(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22816, 4761])).
% 7.13/5.36 tff(22818,plain,
% 7.13/5.36 ((~((~v126(constB181)) <=> v111(constB181))) | v126(constB181) | v111(constB181)),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22819,plain,
% 7.13/5.36 ((~((~v126(constB181)) <=> v111(constB181))) | v126(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22818, 16905])).
% 7.13/5.36 tff(22820,plain,
% 7.13/5.36 (v126(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22819, 22817])).
% 7.13/5.36 tff(22821,plain,
% 7.13/5.36 ((~((~v113(constB181)) | (~v126(constB181)))) | (~v113(constB181)) | (~v126(constB181))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22822,plain,
% 7.13/5.36 ((~((~v113(constB181)) | (~v126(constB181)))) | (~v113(constB181))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22821, 22820])).
% 7.13/5.36 tff(22823,plain,
% 7.13/5.36 (~((~v113(constB181)) | (~v126(constB181)))),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22822, 22815])).
% 7.13/5.36 tff(22824,plain,
% 7.13/5.36 ((~(v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181)))))) | v112(constB181) | ((~v113(constB181)) | (~v126(constB181)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22825,plain,
% 7.13/5.36 (v112(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22824, 22823, 22791])).
% 7.13/5.36 tff(22826,plain,
% 7.13/5.36 ((v111(constB181) | v112(constB181)) | (~v112(constB181))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22827,plain,
% 7.13/5.36 (v111(constB181) | v112(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22826, 22825])).
% 7.13/5.36 tff(22828,plain,
% 7.13/5.36 ((~(v108(constB181) <=> (v111(constB181) | v112(constB181)))) | v108(constB181) | (~(v111(constB181) | v112(constB181)))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22829,plain,
% 7.13/5.36 (v108(constB181)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22828, 22827, 22789])).
% 7.13/5.36 tff(22830,plain,
% 7.13/5.36 ((~(v110(constB182) <=> v108(constB181))) | v110(constB182) | (~v108(constB181))),
% 7.13/5.36 inference(tautology,[status(thm)],[])).
% 7.13/5.36 tff(22831,plain,
% 7.13/5.36 (v110(constB182)),
% 7.13/5.36 inference(unit_resolution,[status(thm)],[22830, 22829, 22787])).
% 7.13/5.36 tff(22832,plain,
% 7.13/5.36 ((~((~v101(constB182)) | (~v110(constB182)))) | (~v101(constB182)) | (~v110(constB182))),
% 7.18/5.36 inference(tautology,[status(thm)],[])).
% 7.18/5.36 tff(22833,plain,
% 7.18/5.36 (~((~v101(constB182)) | (~v110(constB182)))),
% 7.18/5.36 inference(unit_resolution,[status(thm)],[22832, 22831, 22783])).
% 7.18/5.36 tff(22834,plain,
% 7.18/5.36 ((~(v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182)))))) | v100(constB182) | ((~v101(constB182)) | (~v110(constB182)))),
% 7.18/5.36 inference(tautology,[status(thm)],[])).
% 7.18/5.36 tff(22835,plain,
% 7.18/5.36 (v100(constB182)),
% 7.18/5.36 inference(unit_resolution,[status(thm)],[22834, 22833, 22755])).
% 7.18/5.36 tff(22836,plain,
% 7.18/5.36 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB182)) | (~(((~v90(constB182, 0)) <=> v129(constB182, 0)) | ((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB182)) | (~(((~v90(constB182, 0)) <=> v129(constB182, 0)) | ((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1)))))),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(22837,plain,
% 7.18/5.37 (((~v100(constB182)) | (~(((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1)) | ((~v90(constB182, 0)) <=> v129(constB182, 0))))) <=> ((~v100(constB182)) | (~(((~v90(constB182, 0)) <=> v129(constB182, 0)) | ((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1)))))),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(22838,plain,
% 7.18/5.37 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB182)) | (~(((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1)) | ((~v90(constB182, 0)) <=> v129(constB182, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB182)) | (~(((~v90(constB182, 0)) <=> v129(constB182, 0)) | ((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1))))))),
% 7.18/5.37 inference(monotonicity,[status(thm)],[22837])).
% 7.18/5.37 tff(22839,plain,
% 7.18/5.37 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB182)) | (~(((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1)) | ((~v90(constB182, 0)) <=> v129(constB182, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB182)) | (~(((~v90(constB182, 0)) <=> v129(constB182, 0)) | ((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1)))))),
% 7.18/5.37 inference(transitivity,[status(thm)],[22838, 22836])).
% 7.18/5.37 tff(22840,plain,
% 7.18/5.37 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB182)) | (~(((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1)) | ((~v90(constB182, 0)) <=> v129(constB182, 0)))))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22841,plain,
% 7.18/5.37 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB182)) | (~(((~v90(constB182, 0)) <=> v129(constB182, 0)) | ((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1))))),
% 7.18/5.37 inference(modus_ponens,[status(thm)],[22840, 22839])).
% 7.18/5.37 tff(22842,plain,
% 7.18/5.37 ((~v100(constB182)) | (~(((~v90(constB182, 0)) <=> v129(constB182, 0)) | ((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1))))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22841, 4794])).
% 7.18/5.37 tff(22843,plain,
% 7.18/5.37 (~(((~v90(constB182, 0)) <=> v129(constB182, 0)) | ((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1)))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22842, 22835])).
% 7.18/5.37 tff(22844,plain,
% 7.18/5.37 ((((~v90(constB182, 0)) <=> v129(constB182, 0)) | ((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1))) | (~((~v90(constB182, 2)) <=> v129(constB182, 2)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22845,plain,
% 7.18/5.37 (~((~v90(constB182, 2)) <=> v129(constB182, 2))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22844, 22843])).
% 7.18/5.37 tff(22846,plain,
% 7.18/5.37 (((~v90(constB182, 2)) <=> v129(constB182, 2)) | v90(constB182, 2) | (~v129(constB182, 2))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22847,plain,
% 7.18/5.37 (v90(constB182, 2)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22846, 22845, 22751])).
% 7.18/5.37 tff(22848,plain,
% 7.18/5.37 (((~v90(constB183, 2)) <=> v90(constB182, 2)) | v90(constB183, 2) | (~v90(constB182, 2))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22849,plain,
% 7.18/5.37 (v90(constB183, 2)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22848, 22847, 16889])).
% 7.18/5.37 tff(22850,plain,
% 7.18/5.37 ((((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 0)) <=> v90(constB182, 0))) | (~((~v90(constB183, 0)) <=> v90(constB182, 0)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22851,plain,
% 7.18/5.37 (~((~v90(constB183, 0)) <=> v90(constB182, 0))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22850, 16887])).
% 7.18/5.37 tff(22852,plain,
% 7.18/5.37 ((((~v129(constB182, 2)) <=> v127(constB181, 2)) | ((~v129(constB182, 1)) <=> v127(constB181, 1)) | ((~v129(constB182, 0)) <=> v127(constB181, 0))) | (~((~v129(constB182, 0)) <=> v127(constB181, 0)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22853,plain,
% 7.18/5.37 (~((~v129(constB182, 0)) <=> v127(constB181, 0))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22852, 16896])).
% 7.18/5.37 tff(22854,plain,
% 7.18/5.37 ((((~v127(constB181, 2)) <=> v130(constB181, 2)) | ((~v127(constB181, 1)) <=> v130(constB181, 1)) | ((~v127(constB181, 0)) <=> v130(constB181, 0))) | (~((~v127(constB181, 0)) <=> v130(constB181, 0)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22855,plain,
% 7.18/5.37 (~((~v127(constB181, 0)) <=> v130(constB181, 0))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22854, 16910])).
% 7.18/5.37 tff(22856,plain,
% 7.18/5.37 ((v130(constB181, 1) | v130(constB181, 0) | (~v130(constB181, 2))) | (~v130(constB181, 0))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22857,plain,
% 7.18/5.37 (~v130(constB181, 0)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22856, 22745])).
% 7.18/5.37 tff(22858,plain,
% 7.18/5.37 (((~v127(constB181, 0)) <=> v130(constB181, 0)) | (~v127(constB181, 0)) | v130(constB181, 0)),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22859,plain,
% 7.18/5.37 (~v127(constB181, 0)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22858, 22857, 22855])).
% 7.18/5.37 tff(22860,plain,
% 7.18/5.37 (((~v129(constB182, 0)) <=> v127(constB181, 0)) | (~v129(constB182, 0)) | v127(constB181, 0)),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22861,plain,
% 7.18/5.37 (~v129(constB182, 0)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22860, 22859, 22853])).
% 7.18/5.37 tff(22862,plain,
% 7.18/5.37 ((((~v90(constB182, 0)) <=> v129(constB182, 0)) | ((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1))) | (~((~v90(constB182, 0)) <=> v129(constB182, 0)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22863,plain,
% 7.18/5.37 (~((~v90(constB182, 0)) <=> v129(constB182, 0))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22862, 22843])).
% 7.18/5.37 tff(22864,plain,
% 7.18/5.37 (((~v90(constB182, 0)) <=> v129(constB182, 0)) | (~v90(constB182, 0)) | v129(constB182, 0)),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22865,plain,
% 7.18/5.37 (~v90(constB182, 0)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22864, 22863, 22861])).
% 7.18/5.37 tff(22866,plain,
% 7.18/5.37 (((~v90(constB183, 0)) <=> v90(constB182, 0)) | (~v90(constB183, 0)) | v90(constB182, 0)),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22867,plain,
% 7.18/5.37 (~v90(constB183, 0)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22866, 22865, 22851])).
% 7.18/5.37 tff(22868,plain,
% 7.18/5.37 ((((~v90(constB183, 1)) <=> v90(constB182, 1)) | ((~v90(constB183, 2)) <=> v90(constB182, 2)) | ((~v90(constB183, 0)) <=> v90(constB182, 0))) | (~((~v90(constB183, 1)) <=> v90(constB182, 1)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22869,plain,
% 7.18/5.37 (~((~v90(constB183, 1)) <=> v90(constB182, 1))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22868, 16887])).
% 7.18/5.37 tff(22870,plain,
% 7.18/5.37 ((((~v129(constB182, 2)) <=> v127(constB181, 2)) | ((~v129(constB182, 1)) <=> v127(constB181, 1)) | ((~v129(constB182, 0)) <=> v127(constB181, 0))) | (~((~v129(constB182, 1)) <=> v127(constB181, 1)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22871,plain,
% 7.18/5.37 (~((~v129(constB182, 1)) <=> v127(constB181, 1))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22870, 16896])).
% 7.18/5.37 tff(22872,plain,
% 7.18/5.37 ((((~v127(constB181, 2)) <=> v130(constB181, 2)) | ((~v127(constB181, 1)) <=> v130(constB181, 1)) | ((~v127(constB181, 0)) <=> v130(constB181, 0))) | (~((~v127(constB181, 1)) <=> v130(constB181, 1)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22873,plain,
% 7.18/5.37 (~((~v127(constB181, 1)) <=> v130(constB181, 1))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22872, 16910])).
% 7.18/5.37 tff(22874,plain,
% 7.18/5.37 ((v130(constB181, 1) | v130(constB181, 0) | (~v130(constB181, 2))) | (~v130(constB181, 1))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22875,plain,
% 7.18/5.37 (~v130(constB181, 1)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22874, 22745])).
% 7.18/5.37 tff(22876,plain,
% 7.18/5.37 (((~v127(constB181, 1)) <=> v130(constB181, 1)) | (~v127(constB181, 1)) | v130(constB181, 1)),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22877,plain,
% 7.18/5.37 (~v127(constB181, 1)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22876, 22875, 22873])).
% 7.18/5.37 tff(22878,plain,
% 7.18/5.37 (((~v129(constB182, 1)) <=> v127(constB181, 1)) | (~v129(constB182, 1)) | v127(constB181, 1)),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22879,plain,
% 7.18/5.37 (~v129(constB182, 1)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22878, 22877, 22871])).
% 7.18/5.37 tff(22880,plain,
% 7.18/5.37 ((((~v90(constB182, 0)) <=> v129(constB182, 0)) | ((~v90(constB182, 2)) <=> v129(constB182, 2)) | ((~v90(constB182, 1)) <=> v129(constB182, 1))) | (~((~v90(constB182, 1)) <=> v129(constB182, 1)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22881,plain,
% 7.18/5.37 (~((~v90(constB182, 1)) <=> v129(constB182, 1))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22880, 22843])).
% 7.18/5.37 tff(22882,plain,
% 7.18/5.37 (((~v90(constB182, 1)) <=> v129(constB182, 1)) | (~v90(constB182, 1)) | v129(constB182, 1)),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22883,plain,
% 7.18/5.37 (~v90(constB182, 1)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22882, 22881, 22879])).
% 7.18/5.37 tff(22884,plain,
% 7.18/5.37 (((~v90(constB183, 1)) <=> v90(constB182, 1)) | (~v90(constB183, 1)) | v90(constB182, 1)),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22885,plain,
% 7.18/5.37 (~v90(constB183, 1)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22884, 22883, 22869])).
% 7.18/5.37 tff(22886,plain,
% 7.18/5.37 ((~(v90(constB183, 1) | v90(constB183, 0) | (~v90(constB183, 2)))) | v90(constB183, 1) | v90(constB183, 0) | (~v90(constB183, 2))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22887,plain,
% 7.18/5.37 (~(v90(constB183, 1) | v90(constB183, 0) | (~v90(constB183, 2)))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22886, 22885, 22867, 22849])).
% 7.18/5.37 tff(22888,plain,
% 7.18/5.37 ((~(v123(constB183) <=> (~(v90(constB183, 1) | v90(constB183, 0) | (~v90(constB183, 2)))))) | v123(constB183) | (v90(constB183, 1) | v90(constB183, 0) | (~v90(constB183, 2)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22889,plain,
% 7.18/5.37 (v123(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22888, 22887, 16853])).
% 7.18/5.37 tff(22890,plain,
% 7.18/5.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB183)) | (~(v130(constB183, 0) | (~v130(constB183, 2)) | (~v130(constB183, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB183)) | (~(v130(constB183, 0) | (~v130(constB183, 2)) | (~v130(constB183, 1)))))),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(22891,plain,
% 7.18/5.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB183)) | (~(v130(constB183, 0) | (~v130(constB183, 2)) | (~v130(constB183, 1)))))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22892,plain,
% 7.18/5.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB183)) | (~(v130(constB183, 0) | (~v130(constB183, 2)) | (~v130(constB183, 1))))),
% 7.18/5.37 inference(modus_ponens,[status(thm)],[22891, 22890])).
% 7.18/5.37 tff(22893,plain,
% 7.18/5.37 ((~v123(constB183)) | (~(v130(constB183, 0) | (~v130(constB183, 2)) | (~v130(constB183, 1))))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22892, 4861])).
% 7.18/5.37 tff(22894,plain,
% 7.18/5.37 (~(v130(constB183, 0) | (~v130(constB183, 2)) | (~v130(constB183, 1)))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22893, 22889])).
% 7.18/5.37 tff(22895,plain,
% 7.18/5.37 ((v130(constB183, 0) | (~v130(constB183, 2)) | (~v130(constB183, 1))) | v130(constB183, 2)),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22896,plain,
% 7.18/5.37 (v130(constB183, 2)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22895, 22894])).
% 7.18/5.37 tff(22897,plain,
% 7.18/5.37 (((~v127(constB183, 2)) <=> v130(constB183, 2)) | v127(constB183, 2) | (~v130(constB183, 2))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22898,plain,
% 7.18/5.37 (v127(constB183, 2)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22897, 22896, 16846])).
% 7.18/5.37 tff(22899,plain,
% 7.18/5.37 (((~v129(constB184, 2)) <=> v127(constB183, 2)) | v129(constB184, 2) | (~v127(constB183, 2))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22900,plain,
% 7.18/5.37 (v129(constB184, 2)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22899, 22898, 16832])).
% 7.18/5.37 tff(22901,plain,
% 7.18/5.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))))),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(22902,plain,
% 7.18/5.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22903,plain,
% 7.18/5.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184)))))),
% 7.18/5.37 inference(modus_ponens,[status(thm)],[22902, 22901])).
% 7.18/5.37 tff(22904,plain,
% 7.18/5.37 (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22903, 16826, 273])).
% 7.18/5.37 tff(22905,plain,
% 7.18/5.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(22906,plain,
% 7.18/5.37 (((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184)))))) <=> ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(22907,plain,
% 7.18/5.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))))),
% 7.18/5.37 inference(monotonicity,[status(thm)],[22906])).
% 7.18/5.37 tff(22908,plain,
% 7.18/5.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))),
% 7.18/5.37 inference(transitivity,[status(thm)],[22907, 22905])).
% 7.18/5.37 tff(22909,plain,
% 7.18/5.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184))))))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22910,plain,
% 7.18/5.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))),
% 7.18/5.37 inference(modus_ponens,[status(thm)],[22909, 22908])).
% 7.18/5.37 tff(22911,plain,
% 7.18/5.37 (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22910, 16826, 293])).
% 7.18/5.37 tff(22912,plain,
% 7.18/5.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184)))),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(22913,plain,
% 7.18/5.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184)))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22914,plain,
% 7.18/5.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184))),
% 7.18/5.37 inference(modus_ponens,[status(thm)],[22913, 22912])).
% 7.18/5.37 tff(22915,plain,
% 7.18/5.37 ((~v102(constB184)) <=> v104(constB184)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22914, 16826, 4609])).
% 7.18/5.37 tff(22916,plain,
% 7.18/5.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183)))),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(22917,plain,
% 7.18/5.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183)))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22918,plain,
% 7.18/5.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183))),
% 7.18/5.37 inference(modus_ponens,[status(thm)],[22917, 22916])).
% 7.18/5.37 tff(22919,plain,
% 7.18/5.37 (v104(constB184) <=> v1(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22918, 16826, 4623])).
% 7.18/5.37 tff(22920,plain,
% 7.18/5.37 ((~(v104(constB184) <=> v1(constB183))) | (~v104(constB184)) | v1(constB183)),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22921,plain,
% 7.18/5.37 ((~(v104(constB184) <=> v1(constB183))) | (~v104(constB184))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22920, 16870])).
% 7.18/5.37 tff(22922,plain,
% 7.18/5.37 (~v104(constB184)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22921, 22919])).
% 7.18/5.37 tff(22923,plain,
% 7.18/5.37 ((~((~v102(constB184)) <=> v104(constB184))) | v102(constB184) | v104(constB184)),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22924,plain,
% 7.18/5.37 (v102(constB184)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22923, 22922, 22915])).
% 7.18/5.37 tff(22925,plain,
% 7.18/5.37 (v1(constB184) <=> v1(constB184)),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(22926,axiom,(v1(constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_184')).
% 7.18/5.37 tff(22927,plain,
% 7.18/5.37 (v1(constB184)),
% 7.18/5.37 inference(modus_ponens,[status(thm)],[22926, 22925])).
% 7.18/5.37 tff(22928,plain,
% 7.18/5.37 ((~((~v1(constB184)) | (~v102(constB184)))) | (~v1(constB184)) | (~v102(constB184))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22929,plain,
% 7.18/5.37 ((~((~v1(constB184)) | (~v102(constB184)))) | (~v102(constB184))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22928, 22927])).
% 7.18/5.37 tff(22930,plain,
% 7.18/5.37 (~((~v1(constB184)) | (~v102(constB184)))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22929, 22924])).
% 7.18/5.37 tff(22931,plain,
% 7.18/5.37 ((~(v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))) | v101(constB184) | ((~v1(constB184)) | (~v102(constB184)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22932,plain,
% 7.18/5.37 (v101(constB184)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22931, 22930, 22911])).
% 7.18/5.37 tff(22933,plain,
% 7.18/5.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183)))),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(22934,plain,
% 7.18/5.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183)))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22935,plain,
% 7.18/5.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183))),
% 7.18/5.37 inference(modus_ponens,[status(thm)],[22934, 22933])).
% 7.18/5.37 tff(22936,plain,
% 7.18/5.37 (v110(constB184) <=> v108(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22935, 16826, 4650])).
% 7.18/5.37 tff(22937,plain,
% 7.18/5.37 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB183) <=> (v111(constB183) | v112(constB183)))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22938,plain,
% 7.18/5.37 (v108(constB183) <=> (v111(constB183) | v112(constB183))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22937, 4661])).
% 7.18/5.37 tff(22939,plain,
% 7.18/5.37 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183)))))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22940,plain,
% 7.18/5.37 (v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183))))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22939, 4673])).
% 7.18/5.37 tff(22941,plain,
% 7.18/5.37 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB183) <=> (v114(constB183) | v125(constB183)))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22942,plain,
% 7.18/5.37 (v113(constB183) <=> (v114(constB183) | v125(constB183))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22941, 4682])).
% 7.18/5.37 tff(22943,plain,
% 7.18/5.37 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB183) <=> (v115(constB183) | v124(constB183)))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22944,plain,
% 7.18/5.37 (v114(constB183) <=> (v115(constB183) | v124(constB183))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22943, 4691])).
% 7.18/5.37 tff(22945,plain,
% 7.18/5.37 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB183) <=> (v116(constB183) | v123(constB183)))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22946,plain,
% 7.18/5.37 (v115(constB183) <=> (v116(constB183) | v123(constB183))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22945, 4700])).
% 7.18/5.37 tff(22947,plain,
% 7.18/5.37 ((v116(constB183) | v123(constB183)) | (~v123(constB183))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22948,plain,
% 7.18/5.37 (v116(constB183) | v123(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22947, 22889])).
% 7.18/5.37 tff(22949,plain,
% 7.18/5.37 ((~(v115(constB183) <=> (v116(constB183) | v123(constB183)))) | v115(constB183) | (~(v116(constB183) | v123(constB183)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22950,plain,
% 7.18/5.37 (v115(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22949, 22948, 22946])).
% 7.18/5.37 tff(22951,plain,
% 7.18/5.37 ((v115(constB183) | v124(constB183)) | (~v115(constB183))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22952,plain,
% 7.18/5.37 (v115(constB183) | v124(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22951, 22950])).
% 7.18/5.37 tff(22953,plain,
% 7.18/5.37 ((~(v114(constB183) <=> (v115(constB183) | v124(constB183)))) | v114(constB183) | (~(v115(constB183) | v124(constB183)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22954,plain,
% 7.18/5.37 (v114(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22953, 22952, 22944])).
% 7.18/5.37 tff(22955,plain,
% 7.18/5.37 ((v114(constB183) | v125(constB183)) | (~v114(constB183))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22956,plain,
% 7.18/5.37 (v114(constB183) | v125(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22955, 22954])).
% 7.18/5.37 tff(22957,plain,
% 7.18/5.37 ((~(v113(constB183) <=> (v114(constB183) | v125(constB183)))) | v113(constB183) | (~(v114(constB183) | v125(constB183)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22958,plain,
% 7.18/5.37 (v113(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22957, 22956, 22942])).
% 7.18/5.37 tff(22959,plain,
% 7.18/5.37 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB183)) <=> v111(constB183))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22960,plain,
% 7.18/5.37 ((~v126(constB183)) <=> v111(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22959, 4761])).
% 7.18/5.37 tff(22961,plain,
% 7.18/5.37 ((~((~v126(constB183)) <=> v111(constB183))) | v126(constB183) | v111(constB183)),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22962,plain,
% 7.18/5.37 ((~((~v126(constB183)) <=> v111(constB183))) | v126(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22961, 16839])).
% 7.18/5.37 tff(22963,plain,
% 7.18/5.37 (v126(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22962, 22960])).
% 7.18/5.37 tff(22964,plain,
% 7.18/5.37 ((~((~v113(constB183)) | (~v126(constB183)))) | (~v113(constB183)) | (~v126(constB183))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22965,plain,
% 7.18/5.37 ((~((~v113(constB183)) | (~v126(constB183)))) | (~v113(constB183))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22964, 22963])).
% 7.18/5.37 tff(22966,plain,
% 7.18/5.37 (~((~v113(constB183)) | (~v126(constB183)))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22965, 22958])).
% 7.18/5.37 tff(22967,plain,
% 7.18/5.37 ((~(v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183)))))) | v112(constB183) | ((~v113(constB183)) | (~v126(constB183)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22968,plain,
% 7.18/5.37 (v112(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22967, 22966, 22940])).
% 7.18/5.37 tff(22969,plain,
% 7.18/5.37 ((v111(constB183) | v112(constB183)) | (~v112(constB183))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22970,plain,
% 7.18/5.37 (v111(constB183) | v112(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22969, 22968])).
% 7.18/5.37 tff(22971,plain,
% 7.18/5.37 ((~(v108(constB183) <=> (v111(constB183) | v112(constB183)))) | v108(constB183) | (~(v111(constB183) | v112(constB183)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22972,plain,
% 7.18/5.37 (v108(constB183)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22971, 22970, 22938])).
% 7.18/5.37 tff(22973,plain,
% 7.18/5.37 ((~(v110(constB184) <=> v108(constB183))) | v110(constB184) | (~v108(constB183))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22974,plain,
% 7.18/5.37 (v110(constB184)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22973, 22972, 22936])).
% 7.18/5.37 tff(22975,plain,
% 7.18/5.37 ((~((~v101(constB184)) | (~v110(constB184)))) | (~v101(constB184)) | (~v110(constB184))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22976,plain,
% 7.18/5.37 (~((~v101(constB184)) | (~v110(constB184)))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22975, 22974, 22932])).
% 7.18/5.37 tff(22977,plain,
% 7.18/5.37 ((~(v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184)))))) | v100(constB184) | ((~v101(constB184)) | (~v110(constB184)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22978,plain,
% 7.18/5.37 (v100(constB184)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22977, 22976, 22904])).
% 7.18/5.37 tff(22979,plain,
% 7.18/5.37 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB184)) | (~(((~v90(constB184, 2)) <=> v129(constB184, 2)) | ((~v90(constB184, 1)) <=> v129(constB184, 1)) | ((~v90(constB184, 0)) <=> v129(constB184, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB184)) | (~(((~v90(constB184, 2)) <=> v129(constB184, 2)) | ((~v90(constB184, 1)) <=> v129(constB184, 1)) | ((~v90(constB184, 0)) <=> v129(constB184, 0)))))),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(22980,plain,
% 7.18/5.37 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB184)) | (~(((~v90(constB184, 2)) <=> v129(constB184, 2)) | ((~v90(constB184, 1)) <=> v129(constB184, 1)) | ((~v90(constB184, 0)) <=> v129(constB184, 0)))))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22981,plain,
% 7.18/5.37 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB184)) | (~(((~v90(constB184, 2)) <=> v129(constB184, 2)) | ((~v90(constB184, 1)) <=> v129(constB184, 1)) | ((~v90(constB184, 0)) <=> v129(constB184, 0))))),
% 7.18/5.37 inference(modus_ponens,[status(thm)],[22980, 22979])).
% 7.18/5.37 tff(22982,plain,
% 7.18/5.37 ((~v100(constB184)) | (~(((~v90(constB184, 2)) <=> v129(constB184, 2)) | ((~v90(constB184, 1)) <=> v129(constB184, 1)) | ((~v90(constB184, 0)) <=> v129(constB184, 0))))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22981, 4794])).
% 7.18/5.37 tff(22983,plain,
% 7.18/5.37 (~(((~v90(constB184, 2)) <=> v129(constB184, 2)) | ((~v90(constB184, 1)) <=> v129(constB184, 1)) | ((~v90(constB184, 0)) <=> v129(constB184, 0)))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22982, 22978])).
% 7.18/5.37 tff(22984,plain,
% 7.18/5.37 ((((~v90(constB184, 2)) <=> v129(constB184, 2)) | ((~v90(constB184, 1)) <=> v129(constB184, 1)) | ((~v90(constB184, 0)) <=> v129(constB184, 0))) | (~((~v90(constB184, 2)) <=> v129(constB184, 2)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22985,plain,
% 7.18/5.37 (~((~v90(constB184, 2)) <=> v129(constB184, 2))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22984, 22983])).
% 7.18/5.37 tff(22986,plain,
% 7.18/5.37 (((~v90(constB184, 2)) <=> v129(constB184, 2)) | v90(constB184, 2) | (~v129(constB184, 2))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22987,plain,
% 7.18/5.37 (v90(constB184, 2)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22986, 22985, 22900])).
% 7.18/5.37 tff(22988,plain,
% 7.18/5.37 (((~v90(constB185, 2)) <=> v90(constB184, 2)) | v90(constB185, 2) | (~v90(constB184, 2))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22989,plain,
% 7.18/5.37 (v90(constB185, 2)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22988, 22987, 16823])).
% 7.18/5.37 tff(22990,plain,
% 7.18/5.37 ((v90(constB185, 0) | v90(constB185, 1) | v90(constB185, 2)) | (~v90(constB185, 2))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22991,plain,
% 7.18/5.37 (v90(constB185, 0) | v90(constB185, 1) | v90(constB185, 2)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22990, 22989])).
% 7.18/5.37 tff(22992,plain,
% 7.18/5.37 ((~(v119(constB185) <=> (~(v90(constB185, 0) | v90(constB185, 1) | v90(constB185, 2))))) | (~v119(constB185)) | (~(v90(constB185, 0) | v90(constB185, 1) | v90(constB185, 2)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(22993,plain,
% 7.18/5.37 (~v119(constB185)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22992, 22991, 16787])).
% 7.18/5.37 tff(22994,plain,
% 7.18/5.37 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB185) <=> (~(v90(constB185, 1) | (~v90(constB185, 2)) | (~v90(constB185, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB185) <=> (~(v90(constB185, 1) | (~v90(constB185, 2)) | (~v90(constB185, 0))))))),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(22995,plain,
% 7.18/5.37 ((v124(constB185) <=> (~(v90(constB185, 1) | (~v90(constB185, 0)) | (~v90(constB185, 2))))) <=> (v124(constB185) <=> (~(v90(constB185, 1) | (~v90(constB185, 2)) | (~v90(constB185, 0)))))),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(22996,plain,
% 7.18/5.37 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB185) <=> (~(v90(constB185, 1) | (~v90(constB185, 0)) | (~v90(constB185, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB185) <=> (~(v90(constB185, 1) | (~v90(constB185, 2)) | (~v90(constB185, 0))))))),
% 7.18/5.37 inference(monotonicity,[status(thm)],[22995])).
% 7.18/5.37 tff(22997,plain,
% 7.18/5.37 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB185) <=> (~(v90(constB185, 1) | (~v90(constB185, 0)) | (~v90(constB185, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB185) <=> (~(v90(constB185, 1) | (~v90(constB185, 2)) | (~v90(constB185, 0))))))),
% 7.18/5.37 inference(transitivity,[status(thm)],[22996, 22994])).
% 7.18/5.37 tff(22998,plain,
% 7.18/5.37 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB185) <=> (~(v90(constB185, 1) | (~v90(constB185, 0)) | (~v90(constB185, 2)))))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(22999,plain,
% 7.18/5.37 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB185) <=> (~(v90(constB185, 1) | (~v90(constB185, 2)) | (~v90(constB185, 0)))))),
% 7.18/5.37 inference(modus_ponens,[status(thm)],[22998, 22997])).
% 7.18/5.37 tff(23000,plain,
% 7.18/5.37 (v124(constB185) <=> (~(v90(constB185, 1) | (~v90(constB185, 2)) | (~v90(constB185, 0))))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[22999, 4978])).
% 7.18/5.37 tff(23001,plain,
% 7.18/5.37 ((((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 0)) <=> v90(constB184, 0))) | (~((~v90(constB185, 1)) <=> v90(constB184, 1)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(23002,plain,
% 7.18/5.37 (~((~v90(constB185, 1)) <=> v90(constB184, 1))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[23001, 16821])).
% 7.18/5.37 tff(23003,plain,
% 7.18/5.37 ((((~v129(constB184, 2)) <=> v127(constB183, 2)) | ((~v129(constB184, 1)) <=> v127(constB183, 1)) | ((~v129(constB184, 0)) <=> v127(constB183, 0))) | (~((~v129(constB184, 1)) <=> v127(constB183, 1)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(23004,plain,
% 7.18/5.37 (~((~v129(constB184, 1)) <=> v127(constB183, 1))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[23003, 16830])).
% 7.18/5.37 tff(23005,plain,
% 7.18/5.37 ((((~v127(constB183, 2)) <=> v130(constB183, 2)) | ((~v127(constB183, 1)) <=> v130(constB183, 1)) | ((~v127(constB183, 0)) <=> v130(constB183, 0))) | (~((~v127(constB183, 1)) <=> v130(constB183, 1)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(23006,plain,
% 7.18/5.37 (~((~v127(constB183, 1)) <=> v130(constB183, 1))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[23005, 16844])).
% 7.18/5.37 tff(23007,plain,
% 7.18/5.37 ((v130(constB183, 0) | (~v130(constB183, 2)) | (~v130(constB183, 1))) | v130(constB183, 1)),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(23008,plain,
% 7.18/5.37 (v130(constB183, 1)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[23007, 22894])).
% 7.18/5.37 tff(23009,plain,
% 7.18/5.37 (((~v127(constB183, 1)) <=> v130(constB183, 1)) | v127(constB183, 1) | (~v130(constB183, 1))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(23010,plain,
% 7.18/5.37 (v127(constB183, 1)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[23009, 23008, 23006])).
% 7.18/5.37 tff(23011,plain,
% 7.18/5.37 (((~v129(constB184, 1)) <=> v127(constB183, 1)) | v129(constB184, 1) | (~v127(constB183, 1))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(23012,plain,
% 7.18/5.37 (v129(constB184, 1)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[23011, 23010, 23004])).
% 7.18/5.37 tff(23013,plain,
% 7.18/5.37 ((((~v90(constB184, 2)) <=> v129(constB184, 2)) | ((~v90(constB184, 1)) <=> v129(constB184, 1)) | ((~v90(constB184, 0)) <=> v129(constB184, 0))) | (~((~v90(constB184, 1)) <=> v129(constB184, 1)))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(23014,plain,
% 7.18/5.37 (~((~v90(constB184, 1)) <=> v129(constB184, 1))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[23013, 22983])).
% 7.18/5.37 tff(23015,plain,
% 7.18/5.37 (((~v90(constB184, 1)) <=> v129(constB184, 1)) | v90(constB184, 1) | (~v129(constB184, 1))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(23016,plain,
% 7.18/5.37 (v90(constB184, 1)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[23015, 23014, 23012])).
% 7.18/5.37 tff(23017,plain,
% 7.18/5.37 (((~v90(constB185, 1)) <=> v90(constB184, 1)) | v90(constB185, 1) | (~v90(constB184, 1))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(23018,plain,
% 7.18/5.37 (v90(constB185, 1)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[23017, 23016, 23002])).
% 7.18/5.37 tff(23019,plain,
% 7.18/5.37 ((v90(constB185, 1) | (~v90(constB185, 2)) | (~v90(constB185, 0))) | (~v90(constB185, 1))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(23020,plain,
% 7.18/5.37 (v90(constB185, 1) | (~v90(constB185, 2)) | (~v90(constB185, 0))),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[23019, 23018])).
% 7.18/5.37 tff(23021,plain,
% 7.18/5.37 ((~(v124(constB185) <=> (~(v90(constB185, 1) | (~v90(constB185, 2)) | (~v90(constB185, 0)))))) | (~v124(constB185)) | (~(v90(constB185, 1) | (~v90(constB185, 2)) | (~v90(constB185, 0))))),
% 7.18/5.37 inference(tautology,[status(thm)],[])).
% 7.18/5.37 tff(23022,plain,
% 7.18/5.37 (~v124(constB185)),
% 7.18/5.37 inference(unit_resolution,[status(thm)],[23021, 23020, 23000])).
% 7.18/5.37 tff(23023,plain,
% 7.18/5.37 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB185) <=> (~(v90(constB185, 1) | v90(constB185, 0) | (~v90(constB185, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB185) <=> (~(v90(constB185, 1) | v90(constB185, 0) | (~v90(constB185, 2))))))),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(23024,plain,
% 7.18/5.37 ((v123(constB185) <=> (~(v90(constB185, 0) | v90(constB185, 1) | (~v90(constB185, 2))))) <=> (v123(constB185) <=> (~(v90(constB185, 1) | v90(constB185, 0) | (~v90(constB185, 2)))))),
% 7.18/5.37 inference(rewrite,[status(thm)],[])).
% 7.18/5.37 tff(23025,plain,
% 7.18/5.37 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB185) <=> (~(v90(constB185, 0) | v90(constB185, 1) | (~v90(constB185, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB185) <=> (~(v90(constB185, 1) | v90(constB185, 0) | (~v90(constB185, 2))))))),
% 7.18/5.37 inference(monotonicity,[status(thm)],[23024])).
% 7.18/5.37 tff(23026,plain,
% 7.18/5.37 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB185) <=> (~(v90(constB185, 0) | v90(constB185, 1) | (~v90(constB185, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB185) <=> (~(v90(constB185, 1) | v90(constB185, 0) | (~v90(constB185, 2))))))),
% 7.18/5.37 inference(transitivity,[status(thm)],[23025, 23023])).
% 7.18/5.37 tff(23027,plain,
% 7.18/5.37 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB185) <=> (~(v90(constB185, 0) | v90(constB185, 1) | (~v90(constB185, 2)))))),
% 7.18/5.37 inference(quant_inst,[status(thm)],[])).
% 7.18/5.37 tff(23028,plain,
% 7.18/5.37 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB185) <=> (~(v90(constB185, 1) | v90(constB185, 0) | (~v90(constB185, 2)))))),
% 7.18/5.37 inference(modus_ponens,[status(thm)],[23027, 23026])).
% 7.18/5.37 tff(23029,plain,
% 7.18/5.37 (v123(constB185) <=> (~(v90(constB185, 1) | v90(constB185, 0) | (~v90(constB185, 2))))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23028, 565])).
% 7.18/5.38 tff(23030,plain,
% 7.18/5.38 ((v90(constB185, 1) | v90(constB185, 0) | (~v90(constB185, 2))) | (~v90(constB185, 1))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23031,plain,
% 7.18/5.38 (v90(constB185, 1) | v90(constB185, 0) | (~v90(constB185, 2))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23030, 23018])).
% 7.18/5.38 tff(23032,plain,
% 7.18/5.38 ((~(v123(constB185) <=> (~(v90(constB185, 1) | v90(constB185, 0) | (~v90(constB185, 2)))))) | (~v123(constB185)) | (~(v90(constB185, 1) | v90(constB185, 0) | (~v90(constB185, 2))))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23033,plain,
% 7.18/5.38 (~v123(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23032, 23031, 23029])).
% 7.18/5.38 tff(23034,plain,
% 7.18/5.38 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB185) <=> (~(v90(constB185, 2) | (~v90(constB185, 1)) | (~v90(constB185, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB185) <=> (~(v90(constB185, 2) | (~v90(constB185, 1)) | (~v90(constB185, 0))))))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23035,plain,
% 7.18/5.38 ((v122(constB185) <=> (~(v90(constB185, 2) | (~v90(constB185, 0)) | (~v90(constB185, 1))))) <=> (v122(constB185) <=> (~(v90(constB185, 2) | (~v90(constB185, 1)) | (~v90(constB185, 0)))))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23036,plain,
% 7.18/5.38 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB185) <=> (~(v90(constB185, 2) | (~v90(constB185, 0)) | (~v90(constB185, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB185) <=> (~(v90(constB185, 2) | (~v90(constB185, 1)) | (~v90(constB185, 0))))))),
% 7.18/5.38 inference(monotonicity,[status(thm)],[23035])).
% 7.18/5.38 tff(23037,plain,
% 7.18/5.38 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB185) <=> (~(v90(constB185, 2) | (~v90(constB185, 0)) | (~v90(constB185, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB185) <=> (~(v90(constB185, 2) | (~v90(constB185, 1)) | (~v90(constB185, 0))))))),
% 7.18/5.38 inference(transitivity,[status(thm)],[23036, 23034])).
% 7.18/5.38 tff(23038,plain,
% 7.18/5.38 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB185) <=> (~(v90(constB185, 2) | (~v90(constB185, 0)) | (~v90(constB185, 1)))))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23039,plain,
% 7.18/5.38 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB185) <=> (~(v90(constB185, 2) | (~v90(constB185, 1)) | (~v90(constB185, 0)))))),
% 7.18/5.38 inference(modus_ponens,[status(thm)],[23038, 23037])).
% 7.18/5.38 tff(23040,plain,
% 7.18/5.38 (v122(constB185) <=> (~(v90(constB185, 2) | (~v90(constB185, 1)) | (~v90(constB185, 0))))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23039, 644])).
% 7.18/5.38 tff(23041,plain,
% 7.18/5.38 ((v90(constB185, 2) | (~v90(constB185, 1)) | (~v90(constB185, 0))) | (~v90(constB185, 2))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23042,plain,
% 7.18/5.38 (v90(constB185, 2) | (~v90(constB185, 1)) | (~v90(constB185, 0))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23041, 22989])).
% 7.18/5.38 tff(23043,plain,
% 7.18/5.38 ((~(v122(constB185) <=> (~(v90(constB185, 2) | (~v90(constB185, 1)) | (~v90(constB185, 0)))))) | (~v122(constB185)) | (~(v90(constB185, 2) | (~v90(constB185, 1)) | (~v90(constB185, 0))))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23044,plain,
% 7.18/5.38 (~v122(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23043, 23042, 23040])).
% 7.18/5.38 tff(23045,plain,
% 7.18/5.38 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB185) <=> (~(v90(constB185, 2) | v90(constB185, 0) | (~v90(constB185, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB185) <=> (~(v90(constB185, 2) | v90(constB185, 0) | (~v90(constB185, 1))))))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23046,plain,
% 7.18/5.38 ((v121(constB185) <=> (~(v90(constB185, 0) | v90(constB185, 2) | (~v90(constB185, 1))))) <=> (v121(constB185) <=> (~(v90(constB185, 2) | v90(constB185, 0) | (~v90(constB185, 1)))))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23047,plain,
% 7.18/5.38 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB185) <=> (~(v90(constB185, 0) | v90(constB185, 2) | (~v90(constB185, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB185) <=> (~(v90(constB185, 2) | v90(constB185, 0) | (~v90(constB185, 1))))))),
% 7.18/5.38 inference(monotonicity,[status(thm)],[23046])).
% 7.18/5.38 tff(23048,plain,
% 7.18/5.38 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB185) <=> (~(v90(constB185, 0) | v90(constB185, 2) | (~v90(constB185, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB185) <=> (~(v90(constB185, 2) | v90(constB185, 0) | (~v90(constB185, 1))))))),
% 7.18/5.38 inference(transitivity,[status(thm)],[23047, 23045])).
% 7.18/5.38 tff(23049,plain,
% 7.18/5.38 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB185) <=> (~(v90(constB185, 0) | v90(constB185, 2) | (~v90(constB185, 1)))))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23050,plain,
% 7.18/5.38 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB185) <=> (~(v90(constB185, 2) | v90(constB185, 0) | (~v90(constB185, 1)))))),
% 7.18/5.38 inference(modus_ponens,[status(thm)],[23049, 23048])).
% 7.18/5.38 tff(23051,plain,
% 7.18/5.38 (v121(constB185) <=> (~(v90(constB185, 2) | v90(constB185, 0) | (~v90(constB185, 1))))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23050, 723])).
% 7.18/5.38 tff(23052,plain,
% 7.18/5.38 ((v90(constB185, 2) | v90(constB185, 0) | (~v90(constB185, 1))) | (~v90(constB185, 2))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23053,plain,
% 7.18/5.38 (v90(constB185, 2) | v90(constB185, 0) | (~v90(constB185, 1))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23052, 22989])).
% 7.18/5.38 tff(23054,plain,
% 7.18/5.38 ((~(v121(constB185) <=> (~(v90(constB185, 2) | v90(constB185, 0) | (~v90(constB185, 1)))))) | (~v121(constB185)) | (~(v90(constB185, 2) | v90(constB185, 0) | (~v90(constB185, 1))))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23055,plain,
% 7.18/5.38 (~v121(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23054, 23053, 23051])).
% 7.18/5.38 tff(23056,plain,
% 7.18/5.38 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB185) <=> (~(v90(constB185, 1) | v90(constB185, 2) | (~v90(constB185, 0)))))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23057,plain,
% 7.18/5.38 (v120(constB185) <=> (~(v90(constB185, 1) | v90(constB185, 2) | (~v90(constB185, 0))))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23056, 417])).
% 7.18/5.38 tff(23058,plain,
% 7.18/5.38 ((v90(constB185, 1) | v90(constB185, 2) | (~v90(constB185, 0))) | (~v90(constB185, 2))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23059,plain,
% 7.18/5.38 (v90(constB185, 1) | v90(constB185, 2) | (~v90(constB185, 0))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23058, 22989])).
% 7.18/5.38 tff(23060,plain,
% 7.18/5.38 ((~(v120(constB185) <=> (~(v90(constB185, 1) | v90(constB185, 2) | (~v90(constB185, 0)))))) | (~v120(constB185)) | (~(v90(constB185, 1) | v90(constB185, 2) | (~v90(constB185, 0))))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23061,plain,
% 7.18/5.38 (~v120(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23060, 23059, 23057])).
% 7.18/5.38 tff(23062,plain,
% 7.18/5.38 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0)))))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23063,plain,
% 7.18/5.38 ((v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | (~(v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0))))) <=> (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0)))))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23064,plain,
% 7.18/5.38 ((~(v130(constB185, 1) | v130(constB185, 2) | (~v130(constB185, 0)))) <=> (~(v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0))))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23065,plain,
% 7.18/5.38 ((v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | (~(v130(constB185, 1) | v130(constB185, 2) | (~v130(constB185, 0))))) <=> (v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | (~(v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0)))))),
% 7.18/5.38 inference(monotonicity,[status(thm)],[23064])).
% 7.18/5.38 tff(23066,plain,
% 7.18/5.38 ((v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | (~(v130(constB185, 1) | v130(constB185, 2) | (~v130(constB185, 0))))) <=> (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0)))))),
% 7.18/5.38 inference(transitivity,[status(thm)],[23065, 23063])).
% 7.18/5.38 tff(23067,plain,
% 7.18/5.38 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | (~(v130(constB185, 1) | v130(constB185, 2) | (~v130(constB185, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0))))))),
% 7.18/5.38 inference(monotonicity,[status(thm)],[23066])).
% 7.18/5.38 tff(23068,plain,
% 7.18/5.38 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | (~(v130(constB185, 1) | v130(constB185, 2) | (~v130(constB185, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0)))))),
% 7.18/5.38 inference(transitivity,[status(thm)],[23067, 23062])).
% 7.18/5.38 tff(23069,plain,
% 7.18/5.38 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | (~(v130(constB185, 1) | v130(constB185, 2) | (~v130(constB185, 0)))))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23070,plain,
% 7.18/5.38 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0))))),
% 7.18/5.38 inference(modus_ponens,[status(thm)],[23069, 23068])).
% 7.18/5.38 tff(23071,plain,
% 7.18/5.38 (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0))))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23070, 5059])).
% 7.18/5.38 tff(23072,plain,
% 7.18/5.38 (~(v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0)))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23071, 23061, 23055, 23044, 23033, 23022, 22993])).
% 7.18/5.38 tff(23073,plain,
% 7.18/5.38 ((v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0))) | (~v130(constB185, 2))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23074,plain,
% 7.18/5.38 (~v130(constB185, 2)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23073, 23072])).
% 7.18/5.38 tff(23075,plain,
% 7.18/5.38 (((~v127(constB185, 2)) <=> v130(constB185, 2)) | (~v127(constB185, 2)) | v130(constB185, 2)),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23076,plain,
% 7.18/5.38 (~v127(constB185, 2)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23075, 23074, 16785])).
% 7.18/5.38 tff(23077,plain,
% 7.18/5.38 (((~v129(constB186, 2)) <=> v127(constB185, 2)) | (~v129(constB186, 2)) | v127(constB185, 2)),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23078,plain,
% 7.18/5.38 (~v129(constB186, 2)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23077, 23076, 16771])).
% 7.18/5.38 tff(23079,plain,
% 7.18/5.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23080,plain,
% 7.18/5.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23081,plain,
% 7.18/5.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186)))))),
% 7.18/5.38 inference(modus_ponens,[status(thm)],[23080, 23079])).
% 7.18/5.38 tff(23082,plain,
% 7.18/5.38 (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23081, 16765, 273])).
% 7.18/5.38 tff(23083,plain,
% 7.18/5.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23084,plain,
% 7.18/5.38 (((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186)))))) <=> ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23085,plain,
% 7.18/5.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))))),
% 7.18/5.38 inference(monotonicity,[status(thm)],[23084])).
% 7.18/5.38 tff(23086,plain,
% 7.18/5.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))),
% 7.18/5.38 inference(transitivity,[status(thm)],[23085, 23083])).
% 7.18/5.38 tff(23087,plain,
% 7.18/5.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186))))))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23088,plain,
% 7.18/5.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))),
% 7.18/5.38 inference(modus_ponens,[status(thm)],[23087, 23086])).
% 7.18/5.38 tff(23089,plain,
% 7.18/5.38 (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23088, 16765, 293])).
% 7.18/5.38 tff(23090,plain,
% 7.18/5.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186)))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23091,plain,
% 7.18/5.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186)))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23092,plain,
% 7.18/5.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186))),
% 7.18/5.38 inference(modus_ponens,[status(thm)],[23091, 23090])).
% 7.18/5.38 tff(23093,plain,
% 7.18/5.38 ((~v102(constB186)) <=> v104(constB186)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23092, 16765, 4609])).
% 7.18/5.38 tff(23094,plain,
% 7.18/5.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185)))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23095,plain,
% 7.18/5.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185)))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23096,plain,
% 7.18/5.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185))),
% 7.18/5.38 inference(modus_ponens,[status(thm)],[23095, 23094])).
% 7.18/5.38 tff(23097,plain,
% 7.18/5.38 (v104(constB186) <=> v1(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23096, 16765, 4623])).
% 7.18/5.38 tff(23098,plain,
% 7.18/5.38 ((~(v104(constB186) <=> v1(constB185))) | (~v104(constB186)) | v1(constB185)),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23099,plain,
% 7.18/5.38 ((~(v104(constB186) <=> v1(constB185))) | (~v104(constB186))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23098, 16804])).
% 7.18/5.38 tff(23100,plain,
% 7.18/5.38 (~v104(constB186)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23099, 23097])).
% 7.18/5.38 tff(23101,plain,
% 7.18/5.38 ((~((~v102(constB186)) <=> v104(constB186))) | v102(constB186) | v104(constB186)),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23102,plain,
% 7.18/5.38 (v102(constB186)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23101, 23100, 23093])).
% 7.18/5.38 tff(23103,plain,
% 7.18/5.38 (v1(constB186) <=> v1(constB186)),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23104,axiom,(v1(constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_186')).
% 7.18/5.38 tff(23105,plain,
% 7.18/5.38 (v1(constB186)),
% 7.18/5.38 inference(modus_ponens,[status(thm)],[23104, 23103])).
% 7.18/5.38 tff(23106,plain,
% 7.18/5.38 ((~((~v1(constB186)) | (~v102(constB186)))) | (~v1(constB186)) | (~v102(constB186))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23107,plain,
% 7.18/5.38 ((~((~v1(constB186)) | (~v102(constB186)))) | (~v102(constB186))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23106, 23105])).
% 7.18/5.38 tff(23108,plain,
% 7.18/5.38 (~((~v1(constB186)) | (~v102(constB186)))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23107, 23102])).
% 7.18/5.38 tff(23109,plain,
% 7.18/5.38 ((~(v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))) | v101(constB186) | ((~v1(constB186)) | (~v102(constB186)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23110,plain,
% 7.18/5.38 (v101(constB186)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23109, 23108, 23089])).
% 7.18/5.38 tff(23111,plain,
% 7.18/5.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185)))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23112,plain,
% 7.18/5.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185)))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23113,plain,
% 7.18/5.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185))),
% 7.18/5.38 inference(modus_ponens,[status(thm)],[23112, 23111])).
% 7.18/5.38 tff(23114,plain,
% 7.18/5.38 (v110(constB186) <=> v108(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23113, 16765, 4650])).
% 7.18/5.38 tff(23115,plain,
% 7.18/5.38 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB185) <=> (v111(constB185) | v112(constB185)))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23116,plain,
% 7.18/5.38 (v108(constB185) <=> (v111(constB185) | v112(constB185))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23115, 4661])).
% 7.18/5.38 tff(23117,plain,
% 7.18/5.38 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185)))))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23118,plain,
% 7.18/5.38 (v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185))))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23117, 4673])).
% 7.18/5.38 tff(23119,plain,
% 7.18/5.38 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB185) <=> (v114(constB185) | v125(constB185)))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23120,plain,
% 7.18/5.38 (v113(constB185) <=> (v114(constB185) | v125(constB185))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23119, 4682])).
% 7.18/5.38 tff(23121,plain,
% 7.18/5.38 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB185) <=> (~(v90(constB185, 0) | (~v90(constB185, 1)) | (~v90(constB185, 2)))))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23122,plain,
% 7.18/5.38 (v125(constB185) <=> (~(v90(constB185, 0) | (~v90(constB185, 1)) | (~v90(constB185, 2))))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23121, 5131])).
% 7.18/5.38 tff(23123,plain,
% 7.18/5.38 ((((~v90(constB185, 1)) <=> v90(constB184, 1)) | ((~v90(constB185, 2)) <=> v90(constB184, 2)) | ((~v90(constB185, 0)) <=> v90(constB184, 0))) | (~((~v90(constB185, 0)) <=> v90(constB184, 0)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23124,plain,
% 7.18/5.38 (~((~v90(constB185, 0)) <=> v90(constB184, 0))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23123, 16821])).
% 7.18/5.38 tff(23125,plain,
% 7.18/5.38 ((((~v129(constB184, 2)) <=> v127(constB183, 2)) | ((~v129(constB184, 1)) <=> v127(constB183, 1)) | ((~v129(constB184, 0)) <=> v127(constB183, 0))) | (~((~v129(constB184, 0)) <=> v127(constB183, 0)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23126,plain,
% 7.18/5.38 (~((~v129(constB184, 0)) <=> v127(constB183, 0))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23125, 16830])).
% 7.18/5.38 tff(23127,plain,
% 7.18/5.38 ((((~v127(constB183, 2)) <=> v130(constB183, 2)) | ((~v127(constB183, 1)) <=> v130(constB183, 1)) | ((~v127(constB183, 0)) <=> v130(constB183, 0))) | (~((~v127(constB183, 0)) <=> v130(constB183, 0)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23128,plain,
% 7.18/5.38 (~((~v127(constB183, 0)) <=> v130(constB183, 0))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23127, 16844])).
% 7.18/5.38 tff(23129,plain,
% 7.18/5.38 ((v130(constB183, 0) | (~v130(constB183, 2)) | (~v130(constB183, 1))) | (~v130(constB183, 0))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23130,plain,
% 7.18/5.38 (~v130(constB183, 0)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23129, 22894])).
% 7.18/5.38 tff(23131,plain,
% 7.18/5.38 (((~v127(constB183, 0)) <=> v130(constB183, 0)) | (~v127(constB183, 0)) | v130(constB183, 0)),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23132,plain,
% 7.18/5.38 (~v127(constB183, 0)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23131, 23130, 23128])).
% 7.18/5.38 tff(23133,plain,
% 7.18/5.38 (((~v129(constB184, 0)) <=> v127(constB183, 0)) | (~v129(constB184, 0)) | v127(constB183, 0)),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23134,plain,
% 7.18/5.38 (~v129(constB184, 0)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23133, 23132, 23126])).
% 7.18/5.38 tff(23135,plain,
% 7.18/5.38 ((((~v90(constB184, 2)) <=> v129(constB184, 2)) | ((~v90(constB184, 1)) <=> v129(constB184, 1)) | ((~v90(constB184, 0)) <=> v129(constB184, 0))) | (~((~v90(constB184, 0)) <=> v129(constB184, 0)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23136,plain,
% 7.18/5.38 (~((~v90(constB184, 0)) <=> v129(constB184, 0))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23135, 22983])).
% 7.18/5.38 tff(23137,plain,
% 7.18/5.38 (((~v90(constB184, 0)) <=> v129(constB184, 0)) | (~v90(constB184, 0)) | v129(constB184, 0)),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23138,plain,
% 7.18/5.38 (~v90(constB184, 0)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23137, 23136, 23134])).
% 7.18/5.38 tff(23139,plain,
% 7.18/5.38 (((~v90(constB185, 0)) <=> v90(constB184, 0)) | (~v90(constB185, 0)) | v90(constB184, 0)),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23140,plain,
% 7.18/5.38 (~v90(constB185, 0)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23139, 23138, 23124])).
% 7.18/5.38 tff(23141,plain,
% 7.18/5.38 ((~(v90(constB185, 0) | (~v90(constB185, 1)) | (~v90(constB185, 2)))) | v90(constB185, 0) | (~v90(constB185, 1)) | (~v90(constB185, 2))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23142,plain,
% 7.18/5.38 (~(v90(constB185, 0) | (~v90(constB185, 1)) | (~v90(constB185, 2)))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23141, 23018, 23140, 22989])).
% 7.18/5.38 tff(23143,plain,
% 7.18/5.38 ((~(v125(constB185) <=> (~(v90(constB185, 0) | (~v90(constB185, 1)) | (~v90(constB185, 2)))))) | v125(constB185) | (v90(constB185, 0) | (~v90(constB185, 1)) | (~v90(constB185, 2)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23144,plain,
% 7.18/5.38 (v125(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23143, 23142, 23122])).
% 7.18/5.38 tff(23145,plain,
% 7.18/5.38 ((v114(constB185) | v125(constB185)) | (~v125(constB185))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23146,plain,
% 7.18/5.38 (v114(constB185) | v125(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23145, 23144])).
% 7.18/5.38 tff(23147,plain,
% 7.18/5.38 ((~(v113(constB185) <=> (v114(constB185) | v125(constB185)))) | v113(constB185) | (~(v114(constB185) | v125(constB185)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23148,plain,
% 7.18/5.38 (v113(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23147, 23146, 23120])).
% 7.18/5.38 tff(23149,plain,
% 7.18/5.38 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB185)) <=> v111(constB185))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23150,plain,
% 7.18/5.38 ((~v126(constB185)) <=> v111(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23149, 4761])).
% 7.18/5.38 tff(23151,plain,
% 7.18/5.38 ((~((~v126(constB185)) <=> v111(constB185))) | v126(constB185) | v111(constB185)),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23152,plain,
% 7.18/5.38 ((~((~v126(constB185)) <=> v111(constB185))) | v126(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23151, 16778])).
% 7.18/5.38 tff(23153,plain,
% 7.18/5.38 (v126(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23152, 23150])).
% 7.18/5.38 tff(23154,plain,
% 7.18/5.38 ((~((~v113(constB185)) | (~v126(constB185)))) | (~v113(constB185)) | (~v126(constB185))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23155,plain,
% 7.18/5.38 ((~((~v113(constB185)) | (~v126(constB185)))) | (~v113(constB185))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23154, 23153])).
% 7.18/5.38 tff(23156,plain,
% 7.18/5.38 (~((~v113(constB185)) | (~v126(constB185)))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23155, 23148])).
% 7.18/5.38 tff(23157,plain,
% 7.18/5.38 ((~(v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185)))))) | v112(constB185) | ((~v113(constB185)) | (~v126(constB185)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23158,plain,
% 7.18/5.38 (v112(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23157, 23156, 23118])).
% 7.18/5.38 tff(23159,plain,
% 7.18/5.38 ((v111(constB185) | v112(constB185)) | (~v112(constB185))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23160,plain,
% 7.18/5.38 (v111(constB185) | v112(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23159, 23158])).
% 7.18/5.38 tff(23161,plain,
% 7.18/5.38 ((~(v108(constB185) <=> (v111(constB185) | v112(constB185)))) | v108(constB185) | (~(v111(constB185) | v112(constB185)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23162,plain,
% 7.18/5.38 (v108(constB185)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23161, 23160, 23116])).
% 7.18/5.38 tff(23163,plain,
% 7.18/5.38 ((~(v110(constB186) <=> v108(constB185))) | v110(constB186) | (~v108(constB185))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23164,plain,
% 7.18/5.38 (v110(constB186)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23163, 23162, 23114])).
% 7.18/5.38 tff(23165,plain,
% 7.18/5.38 ((~((~v101(constB186)) | (~v110(constB186)))) | (~v101(constB186)) | (~v110(constB186))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23166,plain,
% 7.18/5.38 (~((~v101(constB186)) | (~v110(constB186)))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23165, 23164, 23110])).
% 7.18/5.38 tff(23167,plain,
% 7.18/5.38 ((~(v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186)))))) | v100(constB186) | ((~v101(constB186)) | (~v110(constB186)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23168,plain,
% 7.18/5.38 (v100(constB186)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23167, 23166, 23082])).
% 7.18/5.38 tff(23169,plain,
% 7.18/5.38 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB186)) | (~(((~v90(constB186, 0)) <=> v129(constB186, 0)) | ((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB186)) | (~(((~v90(constB186, 0)) <=> v129(constB186, 0)) | ((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1)))))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23170,plain,
% 7.18/5.38 (((~v100(constB186)) | (~(((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1)) | ((~v90(constB186, 0)) <=> v129(constB186, 0))))) <=> ((~v100(constB186)) | (~(((~v90(constB186, 0)) <=> v129(constB186, 0)) | ((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1)))))),
% 7.18/5.38 inference(rewrite,[status(thm)],[])).
% 7.18/5.38 tff(23171,plain,
% 7.18/5.38 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB186)) | (~(((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1)) | ((~v90(constB186, 0)) <=> v129(constB186, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB186)) | (~(((~v90(constB186, 0)) <=> v129(constB186, 0)) | ((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1))))))),
% 7.18/5.38 inference(monotonicity,[status(thm)],[23170])).
% 7.18/5.38 tff(23172,plain,
% 7.18/5.38 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB186)) | (~(((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1)) | ((~v90(constB186, 0)) <=> v129(constB186, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB186)) | (~(((~v90(constB186, 0)) <=> v129(constB186, 0)) | ((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1)))))),
% 7.18/5.38 inference(transitivity,[status(thm)],[23171, 23169])).
% 7.18/5.38 tff(23173,plain,
% 7.18/5.38 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB186)) | (~(((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1)) | ((~v90(constB186, 0)) <=> v129(constB186, 0)))))),
% 7.18/5.38 inference(quant_inst,[status(thm)],[])).
% 7.18/5.38 tff(23174,plain,
% 7.18/5.38 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB186)) | (~(((~v90(constB186, 0)) <=> v129(constB186, 0)) | ((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1))))),
% 7.18/5.38 inference(modus_ponens,[status(thm)],[23173, 23172])).
% 7.18/5.38 tff(23175,plain,
% 7.18/5.38 ((~v100(constB186)) | (~(((~v90(constB186, 0)) <=> v129(constB186, 0)) | ((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1))))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23174, 4794])).
% 7.18/5.38 tff(23176,plain,
% 7.18/5.38 (~(((~v90(constB186, 0)) <=> v129(constB186, 0)) | ((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1)))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23175, 23168])).
% 7.18/5.38 tff(23177,plain,
% 7.18/5.38 ((((~v90(constB186, 0)) <=> v129(constB186, 0)) | ((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1))) | (~((~v90(constB186, 2)) <=> v129(constB186, 2)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23178,plain,
% 7.18/5.38 (~((~v90(constB186, 2)) <=> v129(constB186, 2))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23177, 23176])).
% 7.18/5.38 tff(23179,plain,
% 7.18/5.38 (((~v90(constB186, 2)) <=> v129(constB186, 2)) | (~v90(constB186, 2)) | v129(constB186, 2)),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23180,plain,
% 7.18/5.38 (~v90(constB186, 2)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23179, 23178, 23078])).
% 7.18/5.38 tff(23181,plain,
% 7.18/5.38 (((~v90(constB187, 2)) <=> v90(constB186, 2)) | (~v90(constB187, 2)) | v90(constB186, 2)),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23182,plain,
% 7.18/5.38 (~v90(constB187, 2)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23181, 23180, 16762])).
% 7.18/5.38 tff(23183,plain,
% 7.18/5.38 ((((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 0)) <=> v90(constB186, 0))) | (~((~v90(constB187, 0)) <=> v90(constB186, 0)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23184,plain,
% 7.18/5.38 (~((~v90(constB187, 0)) <=> v90(constB186, 0))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23183, 16760])).
% 7.18/5.38 tff(23185,plain,
% 7.18/5.38 ((((~v129(constB186, 2)) <=> v127(constB185, 2)) | ((~v129(constB186, 1)) <=> v127(constB185, 1)) | ((~v129(constB186, 0)) <=> v127(constB185, 0))) | (~((~v129(constB186, 0)) <=> v127(constB185, 0)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23186,plain,
% 7.18/5.38 (~((~v129(constB186, 0)) <=> v127(constB185, 0))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23185, 16769])).
% 7.18/5.38 tff(23187,plain,
% 7.18/5.38 ((((~v127(constB185, 2)) <=> v130(constB185, 2)) | ((~v127(constB185, 1)) <=> v130(constB185, 1)) | ((~v127(constB185, 0)) <=> v130(constB185, 0))) | (~((~v127(constB185, 0)) <=> v130(constB185, 0)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23188,plain,
% 7.18/5.38 (~((~v127(constB185, 0)) <=> v130(constB185, 0))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23187, 16783])).
% 7.18/5.38 tff(23189,plain,
% 7.18/5.38 ((v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0))) | v130(constB185, 0)),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23190,plain,
% 7.18/5.38 (v130(constB185, 0)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23189, 23072])).
% 7.18/5.38 tff(23191,plain,
% 7.18/5.38 (((~v127(constB185, 0)) <=> v130(constB185, 0)) | v127(constB185, 0) | (~v130(constB185, 0))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23192,plain,
% 7.18/5.38 (v127(constB185, 0)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23191, 23190, 23188])).
% 7.18/5.38 tff(23193,plain,
% 7.18/5.38 (((~v129(constB186, 0)) <=> v127(constB185, 0)) | v129(constB186, 0) | (~v127(constB185, 0))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23194,plain,
% 7.18/5.38 (v129(constB186, 0)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23193, 23192, 23186])).
% 7.18/5.38 tff(23195,plain,
% 7.18/5.38 ((((~v90(constB186, 0)) <=> v129(constB186, 0)) | ((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1))) | (~((~v90(constB186, 0)) <=> v129(constB186, 0)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23196,plain,
% 7.18/5.38 (~((~v90(constB186, 0)) <=> v129(constB186, 0))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23195, 23176])).
% 7.18/5.38 tff(23197,plain,
% 7.18/5.38 (((~v90(constB186, 0)) <=> v129(constB186, 0)) | v90(constB186, 0) | (~v129(constB186, 0))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23198,plain,
% 7.18/5.38 (v90(constB186, 0)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23197, 23196, 23194])).
% 7.18/5.38 tff(23199,plain,
% 7.18/5.38 (((~v90(constB187, 0)) <=> v90(constB186, 0)) | v90(constB187, 0) | (~v90(constB186, 0))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23200,plain,
% 7.18/5.38 (v90(constB187, 0)),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23199, 23198, 23184])).
% 7.18/5.38 tff(23201,plain,
% 7.18/5.38 ((((~v90(constB187, 1)) <=> v90(constB186, 1)) | ((~v90(constB187, 2)) <=> v90(constB186, 2)) | ((~v90(constB187, 0)) <=> v90(constB186, 0))) | (~((~v90(constB187, 1)) <=> v90(constB186, 1)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23202,plain,
% 7.18/5.38 (~((~v90(constB187, 1)) <=> v90(constB186, 1))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23201, 16760])).
% 7.18/5.38 tff(23203,plain,
% 7.18/5.38 ((((~v129(constB186, 2)) <=> v127(constB185, 2)) | ((~v129(constB186, 1)) <=> v127(constB185, 1)) | ((~v129(constB186, 0)) <=> v127(constB185, 0))) | (~((~v129(constB186, 1)) <=> v127(constB185, 1)))),
% 7.18/5.38 inference(tautology,[status(thm)],[])).
% 7.18/5.38 tff(23204,plain,
% 7.18/5.38 (~((~v129(constB186, 1)) <=> v127(constB185, 1))),
% 7.18/5.38 inference(unit_resolution,[status(thm)],[23203, 16769])).
% 7.18/5.38 tff(23205,plain,
% 7.18/5.38 ((((~v127(constB185, 2)) <=> v130(constB185, 2)) | ((~v127(constB185, 1)) <=> v130(constB185, 1)) | ((~v127(constB185, 0)) <=> v130(constB185, 0))) | (~((~v127(constB185, 1)) <=> v130(constB185, 1)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23206,plain,
% 7.18/5.39 (~((~v127(constB185, 1)) <=> v130(constB185, 1))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23205, 16783])).
% 7.18/5.39 tff(23207,plain,
% 7.18/5.39 ((v130(constB185, 2) | v130(constB185, 1) | (~v130(constB185, 0))) | (~v130(constB185, 1))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23208,plain,
% 7.18/5.39 (~v130(constB185, 1)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23207, 23072])).
% 7.18/5.39 tff(23209,plain,
% 7.18/5.39 (((~v127(constB185, 1)) <=> v130(constB185, 1)) | (~v127(constB185, 1)) | v130(constB185, 1)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23210,plain,
% 7.18/5.39 (~v127(constB185, 1)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23209, 23208, 23206])).
% 7.18/5.39 tff(23211,plain,
% 7.18/5.39 (((~v129(constB186, 1)) <=> v127(constB185, 1)) | (~v129(constB186, 1)) | v127(constB185, 1)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23212,plain,
% 7.18/5.39 (~v129(constB186, 1)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23211, 23210, 23204])).
% 7.18/5.39 tff(23213,plain,
% 7.18/5.39 ((((~v90(constB186, 0)) <=> v129(constB186, 0)) | ((~v90(constB186, 2)) <=> v129(constB186, 2)) | ((~v90(constB186, 1)) <=> v129(constB186, 1))) | (~((~v90(constB186, 1)) <=> v129(constB186, 1)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23214,plain,
% 7.18/5.39 (~((~v90(constB186, 1)) <=> v129(constB186, 1))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23213, 23176])).
% 7.18/5.39 tff(23215,plain,
% 7.18/5.39 (((~v90(constB186, 1)) <=> v129(constB186, 1)) | (~v90(constB186, 1)) | v129(constB186, 1)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23216,plain,
% 7.18/5.39 (~v90(constB186, 1)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23215, 23214, 23212])).
% 7.18/5.39 tff(23217,plain,
% 7.18/5.39 (((~v90(constB187, 1)) <=> v90(constB186, 1)) | (~v90(constB187, 1)) | v90(constB186, 1)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23218,plain,
% 7.18/5.39 (~v90(constB187, 1)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23217, 23216, 23202])).
% 7.18/5.39 tff(23219,plain,
% 7.18/5.39 ((~(v90(constB187, 1) | v90(constB187, 2) | (~v90(constB187, 0)))) | v90(constB187, 1) | v90(constB187, 2) | (~v90(constB187, 0))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23220,plain,
% 7.18/5.39 (~(v90(constB187, 1) | v90(constB187, 2) | (~v90(constB187, 0)))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23219, 23218, 23200, 23182])).
% 7.18/5.39 tff(23221,plain,
% 7.18/5.39 ((~(v120(constB187) <=> (~(v90(constB187, 1) | v90(constB187, 2) | (~v90(constB187, 0)))))) | v120(constB187) | (v90(constB187, 1) | v90(constB187, 2) | (~v90(constB187, 0)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23222,plain,
% 7.18/5.39 (v120(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23221, 23220, 16726])).
% 7.18/5.39 tff(23223,plain,
% 7.18/5.39 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB187)) | (~(v130(constB187, 2) | v130(constB187, 0) | (~v130(constB187, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB187)) | (~(v130(constB187, 2) | v130(constB187, 0) | (~v130(constB187, 1)))))),
% 7.18/5.39 inference(rewrite,[status(thm)],[])).
% 7.18/5.39 tff(23224,plain,
% 7.18/5.39 (((~v120(constB187)) | (~(v130(constB187, 0) | v130(constB187, 2) | (~v130(constB187, 1))))) <=> ((~v120(constB187)) | (~(v130(constB187, 2) | v130(constB187, 0) | (~v130(constB187, 1)))))),
% 7.18/5.39 inference(rewrite,[status(thm)],[])).
% 7.18/5.39 tff(23225,plain,
% 7.18/5.39 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB187)) | (~(v130(constB187, 0) | v130(constB187, 2) | (~v130(constB187, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB187)) | (~(v130(constB187, 2) | v130(constB187, 0) | (~v130(constB187, 1))))))),
% 7.18/5.39 inference(monotonicity,[status(thm)],[23224])).
% 7.18/5.39 tff(23226,plain,
% 7.18/5.39 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB187)) | (~(v130(constB187, 0) | v130(constB187, 2) | (~v130(constB187, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB187)) | (~(v130(constB187, 2) | v130(constB187, 0) | (~v130(constB187, 1)))))),
% 7.18/5.39 inference(transitivity,[status(thm)],[23225, 23223])).
% 7.18/5.39 tff(23227,plain,
% 7.18/5.39 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB187)) | (~(v130(constB187, 0) | v130(constB187, 2) | (~v130(constB187, 1)))))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23228,plain,
% 7.18/5.39 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB187)) | (~(v130(constB187, 2) | v130(constB187, 0) | (~v130(constB187, 1))))),
% 7.18/5.39 inference(modus_ponens,[status(thm)],[23227, 23226])).
% 7.18/5.39 tff(23229,plain,
% 7.18/5.39 ((~v120(constB187)) | (~(v130(constB187, 2) | v130(constB187, 0) | (~v130(constB187, 1))))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23228, 5246])).
% 7.18/5.39 tff(23230,plain,
% 7.18/5.39 (~(v130(constB187, 2) | v130(constB187, 0) | (~v130(constB187, 1)))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23229, 23222])).
% 7.18/5.39 tff(23231,plain,
% 7.18/5.39 ((v130(constB187, 2) | v130(constB187, 0) | (~v130(constB187, 1))) | (~v130(constB187, 2))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23232,plain,
% 7.18/5.39 (~v130(constB187, 2)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23231, 23230])).
% 7.18/5.39 tff(23233,plain,
% 7.18/5.39 (((~v127(constB187, 2)) <=> v130(constB187, 2)) | (~v127(constB187, 2)) | v130(constB187, 2)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23234,plain,
% 7.18/5.39 (~v127(constB187, 2)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23233, 23232, 16724])).
% 7.18/5.39 tff(23235,plain,
% 7.18/5.39 (((~v129(constB188, 2)) <=> v127(constB187, 2)) | (~v129(constB188, 2)) | v127(constB187, 2)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23236,plain,
% 7.18/5.39 (~v129(constB188, 2)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23235, 23234, 16710])).
% 7.18/5.39 tff(23237,plain,
% 7.18/5.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))))),
% 7.18/5.39 inference(rewrite,[status(thm)],[])).
% 7.18/5.39 tff(23238,plain,
% 7.18/5.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23239,plain,
% 7.18/5.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188)))))),
% 7.18/5.39 inference(modus_ponens,[status(thm)],[23238, 23237])).
% 7.18/5.39 tff(23240,plain,
% 7.18/5.39 (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23239, 16704, 273])).
% 7.18/5.39 tff(23241,plain,
% 7.18/5.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))),
% 7.18/5.39 inference(rewrite,[status(thm)],[])).
% 7.18/5.39 tff(23242,plain,
% 7.18/5.39 (((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188)))))) <=> ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))),
% 7.18/5.39 inference(rewrite,[status(thm)],[])).
% 7.18/5.39 tff(23243,plain,
% 7.18/5.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))))),
% 7.18/5.39 inference(monotonicity,[status(thm)],[23242])).
% 7.18/5.39 tff(23244,plain,
% 7.18/5.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))),
% 7.18/5.39 inference(transitivity,[status(thm)],[23243, 23241])).
% 7.18/5.39 tff(23245,plain,
% 7.18/5.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188))))))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23246,plain,
% 7.18/5.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))),
% 7.18/5.39 inference(modus_ponens,[status(thm)],[23245, 23244])).
% 7.18/5.39 tff(23247,plain,
% 7.18/5.39 (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23246, 16704, 293])).
% 7.18/5.39 tff(23248,plain,
% 7.18/5.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188)))),
% 7.18/5.39 inference(rewrite,[status(thm)],[])).
% 7.18/5.39 tff(23249,plain,
% 7.18/5.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188)))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23250,plain,
% 7.18/5.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188))),
% 7.18/5.39 inference(modus_ponens,[status(thm)],[23249, 23248])).
% 7.18/5.39 tff(23251,plain,
% 7.18/5.39 ((~v102(constB188)) <=> v104(constB188)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23250, 16704, 4609])).
% 7.18/5.39 tff(23252,plain,
% 7.18/5.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187)))),
% 7.18/5.39 inference(rewrite,[status(thm)],[])).
% 7.18/5.39 tff(23253,plain,
% 7.18/5.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187)))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23254,plain,
% 7.18/5.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187))),
% 7.18/5.39 inference(modus_ponens,[status(thm)],[23253, 23252])).
% 7.18/5.39 tff(23255,plain,
% 7.18/5.39 (v104(constB188) <=> v1(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23254, 16704, 4623])).
% 7.18/5.39 tff(23256,plain,
% 7.18/5.39 ((~(v104(constB188) <=> v1(constB187))) | (~v104(constB188)) | v1(constB187)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23257,plain,
% 7.18/5.39 ((~(v104(constB188) <=> v1(constB187))) | (~v104(constB188))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23256, 16743])).
% 7.18/5.39 tff(23258,plain,
% 7.18/5.39 (~v104(constB188)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23257, 23255])).
% 7.18/5.39 tff(23259,plain,
% 7.18/5.39 ((~((~v102(constB188)) <=> v104(constB188))) | v102(constB188) | v104(constB188)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23260,plain,
% 7.18/5.39 (v102(constB188)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23259, 23258, 23251])).
% 7.18/5.39 tff(23261,plain,
% 7.18/5.39 ((~((~v1(constB188)) | (~v102(constB188)))) | (~v1(constB188)) | (~v102(constB188))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23262,plain,
% 7.18/5.39 ((~((~v1(constB188)) | (~v102(constB188)))) | (~v102(constB188))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23261, 16519])).
% 7.18/5.39 tff(23263,plain,
% 7.18/5.39 (~((~v1(constB188)) | (~v102(constB188)))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23262, 23260])).
% 7.18/5.39 tff(23264,plain,
% 7.18/5.39 ((~(v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))) | v101(constB188) | ((~v1(constB188)) | (~v102(constB188)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23265,plain,
% 7.18/5.39 (v101(constB188)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23264, 23263, 23247])).
% 7.18/5.39 tff(23266,plain,
% 7.18/5.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187)))),
% 7.18/5.39 inference(rewrite,[status(thm)],[])).
% 7.18/5.39 tff(23267,plain,
% 7.18/5.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187)))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23268,plain,
% 7.18/5.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187))),
% 7.18/5.39 inference(modus_ponens,[status(thm)],[23267, 23266])).
% 7.18/5.39 tff(23269,plain,
% 7.18/5.39 (v110(constB188) <=> v108(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23268, 16704, 4650])).
% 7.18/5.39 tff(23270,plain,
% 7.18/5.39 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB187) <=> (v111(constB187) | v112(constB187)))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23271,plain,
% 7.18/5.39 (v108(constB187) <=> (v111(constB187) | v112(constB187))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23270, 4661])).
% 7.18/5.39 tff(23272,plain,
% 7.18/5.39 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187)))))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23273,plain,
% 7.18/5.39 (v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187))))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23272, 4673])).
% 7.18/5.39 tff(23274,plain,
% 7.18/5.39 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB187) <=> (v114(constB187) | v125(constB187)))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23275,plain,
% 7.18/5.39 (v113(constB187) <=> (v114(constB187) | v125(constB187))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23274, 4682])).
% 7.18/5.39 tff(23276,plain,
% 7.18/5.39 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB187) <=> (v115(constB187) | v124(constB187)))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23277,plain,
% 7.18/5.39 (v114(constB187) <=> (v115(constB187) | v124(constB187))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23276, 4691])).
% 7.18/5.39 tff(23278,plain,
% 7.18/5.39 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB187) <=> (v116(constB187) | v123(constB187)))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23279,plain,
% 7.18/5.39 (v115(constB187) <=> (v116(constB187) | v123(constB187))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23278, 4700])).
% 7.18/5.39 tff(23280,plain,
% 7.18/5.39 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB187) <=> (v117(constB187) | v122(constB187)))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23281,plain,
% 7.18/5.39 (v116(constB187) <=> (v117(constB187) | v122(constB187))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23280, 4709])).
% 7.18/5.39 tff(23282,plain,
% 7.18/5.39 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB187) <=> (v118(constB187) | v121(constB187)))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23283,plain,
% 7.18/5.39 (v117(constB187) <=> (v118(constB187) | v121(constB187))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23282, 4718])).
% 7.18/5.39 tff(23284,plain,
% 7.18/5.39 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB187) <=> (v119(constB187) | v120(constB187)))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23285,plain,
% 7.18/5.39 (v118(constB187) <=> (v119(constB187) | v120(constB187))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23284, 4727])).
% 7.18/5.39 tff(23286,plain,
% 7.18/5.39 ((v119(constB187) | v120(constB187)) | (~v120(constB187))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23287,plain,
% 7.18/5.39 (v119(constB187) | v120(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23286, 23222])).
% 7.18/5.39 tff(23288,plain,
% 7.18/5.39 ((~(v118(constB187) <=> (v119(constB187) | v120(constB187)))) | v118(constB187) | (~(v119(constB187) | v120(constB187)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23289,plain,
% 7.18/5.39 (v118(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23288, 23287, 23285])).
% 7.18/5.39 tff(23290,plain,
% 7.18/5.39 ((v118(constB187) | v121(constB187)) | (~v118(constB187))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23291,plain,
% 7.18/5.39 (v118(constB187) | v121(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23290, 23289])).
% 7.18/5.39 tff(23292,plain,
% 7.18/5.39 ((~(v117(constB187) <=> (v118(constB187) | v121(constB187)))) | v117(constB187) | (~(v118(constB187) | v121(constB187)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23293,plain,
% 7.18/5.39 (v117(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23292, 23291, 23283])).
% 7.18/5.39 tff(23294,plain,
% 7.18/5.39 ((v117(constB187) | v122(constB187)) | (~v117(constB187))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23295,plain,
% 7.18/5.39 (v117(constB187) | v122(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23294, 23293])).
% 7.18/5.39 tff(23296,plain,
% 7.18/5.39 ((~(v116(constB187) <=> (v117(constB187) | v122(constB187)))) | v116(constB187) | (~(v117(constB187) | v122(constB187)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23297,plain,
% 7.18/5.39 (v116(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23296, 23295, 23281])).
% 7.18/5.39 tff(23298,plain,
% 7.18/5.39 ((v116(constB187) | v123(constB187)) | (~v116(constB187))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23299,plain,
% 7.18/5.39 (v116(constB187) | v123(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23298, 23297])).
% 7.18/5.39 tff(23300,plain,
% 7.18/5.39 ((~(v115(constB187) <=> (v116(constB187) | v123(constB187)))) | v115(constB187) | (~(v116(constB187) | v123(constB187)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23301,plain,
% 7.18/5.39 (v115(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23300, 23299, 23279])).
% 7.18/5.39 tff(23302,plain,
% 7.18/5.39 ((v115(constB187) | v124(constB187)) | (~v115(constB187))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23303,plain,
% 7.18/5.39 (v115(constB187) | v124(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23302, 23301])).
% 7.18/5.39 tff(23304,plain,
% 7.18/5.39 ((~(v114(constB187) <=> (v115(constB187) | v124(constB187)))) | v114(constB187) | (~(v115(constB187) | v124(constB187)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23305,plain,
% 7.18/5.39 (v114(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23304, 23303, 23277])).
% 7.18/5.39 tff(23306,plain,
% 7.18/5.39 ((v114(constB187) | v125(constB187)) | (~v114(constB187))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23307,plain,
% 7.18/5.39 (v114(constB187) | v125(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23306, 23305])).
% 7.18/5.39 tff(23308,plain,
% 7.18/5.39 ((~(v113(constB187) <=> (v114(constB187) | v125(constB187)))) | v113(constB187) | (~(v114(constB187) | v125(constB187)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23309,plain,
% 7.18/5.39 (v113(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23308, 23307, 23275])).
% 7.18/5.39 tff(23310,plain,
% 7.18/5.39 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB187)) <=> v111(constB187))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23311,plain,
% 7.18/5.39 ((~v126(constB187)) <=> v111(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23310, 4761])).
% 7.18/5.39 tff(23312,plain,
% 7.18/5.39 ((~((~v126(constB187)) <=> v111(constB187))) | v126(constB187) | v111(constB187)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23313,plain,
% 7.18/5.39 ((~((~v126(constB187)) <=> v111(constB187))) | v126(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23312, 16717])).
% 7.18/5.39 tff(23314,plain,
% 7.18/5.39 (v126(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23313, 23311])).
% 7.18/5.39 tff(23315,plain,
% 7.18/5.39 ((~((~v113(constB187)) | (~v126(constB187)))) | (~v113(constB187)) | (~v126(constB187))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23316,plain,
% 7.18/5.39 ((~((~v113(constB187)) | (~v126(constB187)))) | (~v113(constB187))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23315, 23314])).
% 7.18/5.39 tff(23317,plain,
% 7.18/5.39 (~((~v113(constB187)) | (~v126(constB187)))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23316, 23309])).
% 7.18/5.39 tff(23318,plain,
% 7.18/5.39 ((~(v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187)))))) | v112(constB187) | ((~v113(constB187)) | (~v126(constB187)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23319,plain,
% 7.18/5.39 (v112(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23318, 23317, 23273])).
% 7.18/5.39 tff(23320,plain,
% 7.18/5.39 ((v111(constB187) | v112(constB187)) | (~v112(constB187))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23321,plain,
% 7.18/5.39 (v111(constB187) | v112(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23320, 23319])).
% 7.18/5.39 tff(23322,plain,
% 7.18/5.39 ((~(v108(constB187) <=> (v111(constB187) | v112(constB187)))) | v108(constB187) | (~(v111(constB187) | v112(constB187)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23323,plain,
% 7.18/5.39 (v108(constB187)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23322, 23321, 23271])).
% 7.18/5.39 tff(23324,plain,
% 7.18/5.39 ((~(v110(constB188) <=> v108(constB187))) | v110(constB188) | (~v108(constB187))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23325,plain,
% 7.18/5.39 (v110(constB188)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23324, 23323, 23269])).
% 7.18/5.39 tff(23326,plain,
% 7.18/5.39 ((~((~v101(constB188)) | (~v110(constB188)))) | (~v101(constB188)) | (~v110(constB188))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23327,plain,
% 7.18/5.39 (~((~v101(constB188)) | (~v110(constB188)))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23326, 23325, 23265])).
% 7.18/5.39 tff(23328,plain,
% 7.18/5.39 ((~(v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188)))))) | v100(constB188) | ((~v101(constB188)) | (~v110(constB188)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23329,plain,
% 7.18/5.39 (v100(constB188)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23328, 23327, 23240])).
% 7.18/5.39 tff(23330,plain,
% 7.18/5.39 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB188)) | (~(((~v90(constB188, 2)) <=> v129(constB188, 2)) | ((~v90(constB188, 1)) <=> v129(constB188, 1)) | ((~v90(constB188, 0)) <=> v129(constB188, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB188)) | (~(((~v90(constB188, 2)) <=> v129(constB188, 2)) | ((~v90(constB188, 1)) <=> v129(constB188, 1)) | ((~v90(constB188, 0)) <=> v129(constB188, 0)))))),
% 7.18/5.39 inference(rewrite,[status(thm)],[])).
% 7.18/5.39 tff(23331,plain,
% 7.18/5.39 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB188)) | (~(((~v90(constB188, 2)) <=> v129(constB188, 2)) | ((~v90(constB188, 1)) <=> v129(constB188, 1)) | ((~v90(constB188, 0)) <=> v129(constB188, 0)))))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23332,plain,
% 7.18/5.39 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB188)) | (~(((~v90(constB188, 2)) <=> v129(constB188, 2)) | ((~v90(constB188, 1)) <=> v129(constB188, 1)) | ((~v90(constB188, 0)) <=> v129(constB188, 0))))),
% 7.18/5.39 inference(modus_ponens,[status(thm)],[23331, 23330])).
% 7.18/5.39 tff(23333,plain,
% 7.18/5.39 ((~v100(constB188)) | (~(((~v90(constB188, 2)) <=> v129(constB188, 2)) | ((~v90(constB188, 1)) <=> v129(constB188, 1)) | ((~v90(constB188, 0)) <=> v129(constB188, 0))))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23332, 4794])).
% 7.18/5.39 tff(23334,plain,
% 7.18/5.39 (~(((~v90(constB188, 2)) <=> v129(constB188, 2)) | ((~v90(constB188, 1)) <=> v129(constB188, 1)) | ((~v90(constB188, 0)) <=> v129(constB188, 0)))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23333, 23329])).
% 7.18/5.39 tff(23335,plain,
% 7.18/5.39 ((((~v90(constB188, 2)) <=> v129(constB188, 2)) | ((~v90(constB188, 1)) <=> v129(constB188, 1)) | ((~v90(constB188, 0)) <=> v129(constB188, 0))) | (~((~v90(constB188, 2)) <=> v129(constB188, 2)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23336,plain,
% 7.18/5.39 (~((~v90(constB188, 2)) <=> v129(constB188, 2))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23335, 23334])).
% 7.18/5.39 tff(23337,plain,
% 7.18/5.39 (((~v90(constB188, 2)) <=> v129(constB188, 2)) | (~v90(constB188, 2)) | v129(constB188, 2)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23338,plain,
% 7.18/5.39 (~v90(constB188, 2)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23337, 23336, 23236])).
% 7.18/5.39 tff(23339,plain,
% 7.18/5.39 (((~v90(constB189, 2)) <=> v90(constB188, 2)) | (~v90(constB189, 2)) | v90(constB188, 2)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23340,plain,
% 7.18/5.39 (~v90(constB189, 2)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23339, 23338, 16701])).
% 7.18/5.39 tff(23341,plain,
% 7.18/5.39 (((~v88(constB189, 2)) <=> v90(constB189, 2)) | (~v88(constB189, 2)) | v90(constB189, 2)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23342,plain,
% 7.18/5.39 (~v88(constB189, 2)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23341, 23340, 16671])).
% 7.18/5.39 tff(23343,plain,
% 7.18/5.39 ((((~v88(constB189, 1)) <=> v90(constB189, 1)) | ((~v88(constB189, 2)) <=> v90(constB189, 2)) | ((~v88(constB189, 0)) <=> v90(constB189, 0))) | (~((~v88(constB189, 0)) <=> v90(constB189, 0)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23344,plain,
% 7.18/5.39 (~((~v88(constB189, 0)) <=> v90(constB189, 0))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23343, 16669])).
% 7.18/5.39 tff(23345,plain,
% 7.18/5.39 ((((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 0)) <=> v90(constB188, 0))) | (~((~v90(constB189, 0)) <=> v90(constB188, 0)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23346,plain,
% 7.18/5.39 (~((~v90(constB189, 0)) <=> v90(constB188, 0))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23345, 16699])).
% 7.18/5.39 tff(23347,plain,
% 7.18/5.39 ((((~v129(constB188, 2)) <=> v127(constB187, 2)) | ((~v129(constB188, 1)) <=> v127(constB187, 1)) | ((~v129(constB188, 0)) <=> v127(constB187, 0))) | (~((~v129(constB188, 0)) <=> v127(constB187, 0)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23348,plain,
% 7.18/5.39 (~((~v129(constB188, 0)) <=> v127(constB187, 0))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23347, 16708])).
% 7.18/5.39 tff(23349,plain,
% 7.18/5.39 ((((~v127(constB187, 2)) <=> v130(constB187, 2)) | ((~v127(constB187, 1)) <=> v130(constB187, 1)) | ((~v127(constB187, 0)) <=> v130(constB187, 0))) | (~((~v127(constB187, 0)) <=> v130(constB187, 0)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23350,plain,
% 7.18/5.39 (~((~v127(constB187, 0)) <=> v130(constB187, 0))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23349, 16722])).
% 7.18/5.39 tff(23351,plain,
% 7.18/5.39 ((v130(constB187, 2) | v130(constB187, 0) | (~v130(constB187, 1))) | (~v130(constB187, 0))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23352,plain,
% 7.18/5.39 (~v130(constB187, 0)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23351, 23230])).
% 7.18/5.39 tff(23353,plain,
% 7.18/5.39 (((~v127(constB187, 0)) <=> v130(constB187, 0)) | (~v127(constB187, 0)) | v130(constB187, 0)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23354,plain,
% 7.18/5.39 (~v127(constB187, 0)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23353, 23352, 23350])).
% 7.18/5.39 tff(23355,plain,
% 7.18/5.39 (((~v129(constB188, 0)) <=> v127(constB187, 0)) | (~v129(constB188, 0)) | v127(constB187, 0)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23356,plain,
% 7.18/5.39 (~v129(constB188, 0)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23355, 23354, 23348])).
% 7.18/5.39 tff(23357,plain,
% 7.18/5.39 ((((~v90(constB188, 2)) <=> v129(constB188, 2)) | ((~v90(constB188, 1)) <=> v129(constB188, 1)) | ((~v90(constB188, 0)) <=> v129(constB188, 0))) | (~((~v90(constB188, 0)) <=> v129(constB188, 0)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23358,plain,
% 7.18/5.39 (~((~v90(constB188, 0)) <=> v129(constB188, 0))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23357, 23334])).
% 7.18/5.39 tff(23359,plain,
% 7.18/5.39 (((~v90(constB188, 0)) <=> v129(constB188, 0)) | (~v90(constB188, 0)) | v129(constB188, 0)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23360,plain,
% 7.18/5.39 (~v90(constB188, 0)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23359, 23358, 23356])).
% 7.18/5.39 tff(23361,plain,
% 7.18/5.39 (((~v90(constB189, 0)) <=> v90(constB188, 0)) | (~v90(constB189, 0)) | v90(constB188, 0)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23362,plain,
% 7.18/5.39 (~v90(constB189, 0)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23361, 23360, 23346])).
% 7.18/5.39 tff(23363,plain,
% 7.18/5.39 (((~v88(constB189, 0)) <=> v90(constB189, 0)) | (~v88(constB189, 0)) | v90(constB189, 0)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23364,plain,
% 7.18/5.39 (~v88(constB189, 0)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23363, 23362, 23344])).
% 7.18/5.39 tff(23365,plain,
% 7.18/5.39 ((((~v88(constB189, 1)) <=> v90(constB189, 1)) | ((~v88(constB189, 2)) <=> v90(constB189, 2)) | ((~v88(constB189, 0)) <=> v90(constB189, 0))) | (~((~v88(constB189, 1)) <=> v90(constB189, 1)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23366,plain,
% 7.18/5.39 (~((~v88(constB189, 1)) <=> v90(constB189, 1))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23365, 16669])).
% 7.18/5.39 tff(23367,plain,
% 7.18/5.39 ((((~v90(constB189, 1)) <=> v90(constB188, 1)) | ((~v90(constB189, 2)) <=> v90(constB188, 2)) | ((~v90(constB189, 0)) <=> v90(constB188, 0))) | (~((~v90(constB189, 1)) <=> v90(constB188, 1)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23368,plain,
% 7.18/5.39 (~((~v90(constB189, 1)) <=> v90(constB188, 1))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23367, 16699])).
% 7.18/5.39 tff(23369,plain,
% 7.18/5.39 ((((~v129(constB188, 2)) <=> v127(constB187, 2)) | ((~v129(constB188, 1)) <=> v127(constB187, 1)) | ((~v129(constB188, 0)) <=> v127(constB187, 0))) | (~((~v129(constB188, 1)) <=> v127(constB187, 1)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23370,plain,
% 7.18/5.39 (~((~v129(constB188, 1)) <=> v127(constB187, 1))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23369, 16708])).
% 7.18/5.39 tff(23371,plain,
% 7.18/5.39 ((((~v127(constB187, 2)) <=> v130(constB187, 2)) | ((~v127(constB187, 1)) <=> v130(constB187, 1)) | ((~v127(constB187, 0)) <=> v130(constB187, 0))) | (~((~v127(constB187, 1)) <=> v130(constB187, 1)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23372,plain,
% 7.18/5.39 (~((~v127(constB187, 1)) <=> v130(constB187, 1))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23371, 16722])).
% 7.18/5.39 tff(23373,plain,
% 7.18/5.39 ((v130(constB187, 2) | v130(constB187, 0) | (~v130(constB187, 1))) | v130(constB187, 1)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23374,plain,
% 7.18/5.39 (v130(constB187, 1)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23373, 23230])).
% 7.18/5.39 tff(23375,plain,
% 7.18/5.39 (((~v127(constB187, 1)) <=> v130(constB187, 1)) | v127(constB187, 1) | (~v130(constB187, 1))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23376,plain,
% 7.18/5.39 (v127(constB187, 1)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23375, 23374, 23372])).
% 7.18/5.39 tff(23377,plain,
% 7.18/5.39 (((~v129(constB188, 1)) <=> v127(constB187, 1)) | v129(constB188, 1) | (~v127(constB187, 1))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23378,plain,
% 7.18/5.39 (v129(constB188, 1)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23377, 23376, 23370])).
% 7.18/5.39 tff(23379,plain,
% 7.18/5.39 ((((~v90(constB188, 2)) <=> v129(constB188, 2)) | ((~v90(constB188, 1)) <=> v129(constB188, 1)) | ((~v90(constB188, 0)) <=> v129(constB188, 0))) | (~((~v90(constB188, 1)) <=> v129(constB188, 1)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23380,plain,
% 7.18/5.39 (~((~v90(constB188, 1)) <=> v129(constB188, 1))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23379, 23334])).
% 7.18/5.39 tff(23381,plain,
% 7.18/5.39 (((~v90(constB188, 1)) <=> v129(constB188, 1)) | v90(constB188, 1) | (~v129(constB188, 1))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23382,plain,
% 7.18/5.39 (v90(constB188, 1)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23381, 23380, 23378])).
% 7.18/5.39 tff(23383,plain,
% 7.18/5.39 (((~v90(constB189, 1)) <=> v90(constB188, 1)) | v90(constB189, 1) | (~v90(constB188, 1))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23384,plain,
% 7.18/5.39 (v90(constB189, 1)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23383, 23382, 23368])).
% 7.18/5.39 tff(23385,plain,
% 7.18/5.39 (((~v88(constB189, 1)) <=> v90(constB189, 1)) | v88(constB189, 1) | (~v90(constB189, 1))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23386,plain,
% 7.18/5.39 (v88(constB189, 1)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23385, 23384, 23366])).
% 7.18/5.39 tff(23387,plain,
% 7.18/5.39 ((~((~v88(constB189, 1)) | v88(constB189, 2) | v88(constB189, 0))) | (~v88(constB189, 1)) | v88(constB189, 2) | v88(constB189, 0)),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23388,plain,
% 7.18/5.39 (~((~v88(constB189, 1)) | v88(constB189, 2) | v88(constB189, 0))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23387, 23386, 23364, 23342])).
% 7.18/5.39 tff(23389,plain,
% 7.18/5.39 ((~(v143(constB189) <=> (~((~v88(constB189, 1)) | v88(constB189, 2) | v88(constB189, 0))))) | v143(constB189) | ((~v88(constB189, 1)) | v88(constB189, 2) | v88(constB189, 0))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23390,plain,
% 7.18/5.39 (v143(constB189)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23389, 23388, 16667])).
% 7.18/5.39 tff(23391,plain,
% 7.18/5.39 ((v143(constB189) | v144(constB189)) | (~v143(constB189))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23392,plain,
% 7.18/5.39 (v143(constB189) | v144(constB189)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23391, 23390])).
% 7.18/5.39 tff(23393,plain,
% 7.18/5.39 ((~(v142(constB189) <=> (v143(constB189) | v144(constB189)))) | v142(constB189) | (~(v143(constB189) | v144(constB189)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23394,plain,
% 7.18/5.39 (v142(constB189)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23393, 23392, 16660])).
% 7.18/5.39 tff(23395,plain,
% 7.18/5.39 ((v142(constB189) | v168(constB189)) | (~v142(constB189))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23396,plain,
% 7.18/5.39 (v142(constB189) | v168(constB189)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23395, 23394])).
% 7.18/5.39 tff(23397,plain,
% 7.18/5.39 ((~(v167(constB189) <=> (v142(constB189) | v168(constB189)))) | v167(constB189) | (~(v142(constB189) | v168(constB189)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23398,plain,
% 7.18/5.39 ((~(v167(constB189) <=> (v142(constB189) | v168(constB189)))) | v167(constB189)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23397, 23396])).
% 7.18/5.39 tff(23399,plain,
% 7.18/5.39 (v167(constB189)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23398, 16658])).
% 7.18/5.39 tff(23400,plain,
% 7.18/5.39 ((v145(constB189) | v167(constB189)) | (~v167(constB189))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23401,plain,
% 7.18/5.39 (v145(constB189) | v167(constB189)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23400, 23399])).
% 7.18/5.39 tff(23402,plain,
% 7.18/5.39 ((~(v166(constB189) <=> (v145(constB189) | v167(constB189)))) | v166(constB189) | (~(v145(constB189) | v167(constB189)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23403,plain,
% 7.18/5.39 (v166(constB189)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23402, 23401, 16656])).
% 7.18/5.39 tff(23404,plain,
% 7.18/5.39 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB189)) | (v163(constB189) <=> v170(constB189)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB189)) | (v163(constB189) <=> v170(constB189)))),
% 7.18/5.39 inference(rewrite,[status(thm)],[])).
% 7.18/5.39 tff(23405,plain,
% 7.18/5.39 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB189)) | (v163(constB189) <=> v170(constB189)))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23406,plain,
% 7.18/5.39 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB189)) | (v163(constB189) <=> v170(constB189))),
% 7.18/5.39 inference(modus_ponens,[status(thm)],[23405, 23404])).
% 7.18/5.39 tff(23407,plain,
% 7.18/5.39 ((~v166(constB189)) | (v163(constB189) <=> v170(constB189))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23406, 15777])).
% 7.18/5.39 tff(23408,plain,
% 7.18/5.39 (v163(constB189) <=> v170(constB189)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23407, 23403])).
% 7.18/5.39 tff(23409,plain,
% 7.18/5.39 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB189) <=> (~(v88(constB189, 0) | v88(constB189, 1) | v88(constB189, 2))))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23410,plain,
% 7.18/5.39 (v139(constB189) <=> (~(v88(constB189, 0) | v88(constB189, 1) | v88(constB189, 2)))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23409, 15795])).
% 7.18/5.39 tff(23411,plain,
% 7.18/5.39 ((v88(constB189, 0) | v88(constB189, 1) | v88(constB189, 2)) | (~v88(constB189, 1))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23412,plain,
% 7.18/5.39 (v88(constB189, 0) | v88(constB189, 1) | v88(constB189, 2)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23411, 23386])).
% 7.18/5.39 tff(23413,plain,
% 7.18/5.39 ((~(v139(constB189) <=> (~(v88(constB189, 0) | v88(constB189, 1) | v88(constB189, 2))))) | (~v139(constB189)) | (~(v88(constB189, 0) | v88(constB189, 1) | v88(constB189, 2)))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23414,plain,
% 7.18/5.39 (~v139(constB189)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23413, 23412, 23410])).
% 7.18/5.39 tff(23415,plain,
% 7.18/5.39 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB189) <=> (~(v88(constB189, 1) | v88(constB189, 2) | (~v88(constB189, 0)))))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.39 tff(23416,plain,
% 7.18/5.39 (v140(constB189) <=> (~(v88(constB189, 1) | v88(constB189, 2) | (~v88(constB189, 0))))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23415, 15814])).
% 7.18/5.39 tff(23417,plain,
% 7.18/5.39 ((v88(constB189, 1) | v88(constB189, 2) | (~v88(constB189, 0))) | (~v88(constB189, 1))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23418,plain,
% 7.18/5.39 (v88(constB189, 1) | v88(constB189, 2) | (~v88(constB189, 0))),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23417, 23386])).
% 7.18/5.39 tff(23419,plain,
% 7.18/5.39 ((~(v140(constB189) <=> (~(v88(constB189, 1) | v88(constB189, 2) | (~v88(constB189, 0)))))) | (~v140(constB189)) | (~(v88(constB189, 1) | v88(constB189, 2) | (~v88(constB189, 0))))),
% 7.18/5.39 inference(tautology,[status(thm)],[])).
% 7.18/5.39 tff(23420,plain,
% 7.18/5.39 (~v140(constB189)),
% 7.18/5.39 inference(unit_resolution,[status(thm)],[23419, 23418, 23416])).
% 7.18/5.39 tff(23421,plain,
% 7.18/5.39 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB189) | v139(constB189) | (~v170(constB189)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB189) | v139(constB189) | (~v170(constB189)))),
% 7.18/5.39 inference(rewrite,[status(thm)],[])).
% 7.18/5.39 tff(23422,plain,
% 7.18/5.39 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB189) | v139(constB189) | (~v170(constB189)))),
% 7.18/5.39 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23423,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB189) | v139(constB189) | (~v170(constB189))),
% 7.18/5.40 inference(modus_ponens,[status(thm)],[23422, 23421])).
% 7.18/5.40 tff(23424,plain,
% 7.18/5.40 (v140(constB189) | v139(constB189) | (~v170(constB189))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23423, 15833])).
% 7.18/5.40 tff(23425,plain,
% 7.18/5.40 (~v170(constB189)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23424, 23420, 23414])).
% 7.18/5.40 tff(23426,plain,
% 7.18/5.40 ((~(v163(constB189) <=> v170(constB189))) | (~v163(constB189)) | v170(constB189)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23427,plain,
% 7.18/5.40 ((~(v163(constB189) <=> v170(constB189))) | (~v163(constB189))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23426, 23425])).
% 7.18/5.40 tff(23428,plain,
% 7.18/5.40 (~v163(constB189)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23427, 23408])).
% 7.18/5.40 tff(23429,plain,
% 7.18/5.40 ((~(v161(constB189) <=> v163(constB189))) | (~v161(constB189)) | v163(constB189)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23430,plain,
% 7.18/5.40 ((~(v161(constB189) <=> v163(constB189))) | (~v161(constB189))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23429, 23428])).
% 7.18/5.40 tff(23431,plain,
% 7.18/5.40 (~v161(constB189)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23430, 16654])).
% 7.18/5.40 tff(23432,plain,
% 7.18/5.40 (((~v185(constB189)) | (~v161(constB189))) | v161(constB189)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23433,plain,
% 7.18/5.40 ((~v185(constB189)) | (~v161(constB189))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23432, 23431])).
% 7.18/5.40 tff(23434,plain,
% 7.18/5.40 ((~(v184(constB189) <=> (~((~v185(constB189)) | (~v161(constB189)))))) | (~v184(constB189)) | (~((~v185(constB189)) | (~v161(constB189))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23435,plain,
% 7.18/5.40 (~v184(constB189)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23434, 23433, 16652])).
% 7.18/5.40 tff(23436,plain,
% 7.18/5.40 (((~v183(constB189)) | (~v184(constB189))) | v184(constB189)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23437,plain,
% 7.18/5.40 ((~v183(constB189)) | (~v184(constB189))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23436, 23435])).
% 7.18/5.40 tff(23438,plain,
% 7.18/5.40 ((~(v180(constB189) <=> (~((~v183(constB189)) | (~v184(constB189)))))) | (~v180(constB189)) | (~((~v183(constB189)) | (~v184(constB189))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23439,plain,
% 7.18/5.40 (~v180(constB189)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23438, 23437, 16650])).
% 7.18/5.40 tff(23440,plain,
% 7.18/5.40 ((~(v182(constB190) <=> v180(constB189))) | (~v182(constB190)) | v180(constB189)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23441,plain,
% 7.18/5.40 (~v182(constB190)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23440, 23439, 16648])).
% 7.18/5.40 tff(23442,plain,
% 7.18/5.40 ((~(v159(constB190) <=> v182(constB190))) | (~v159(constB190)) | v182(constB190)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23443,plain,
% 7.18/5.40 (~v159(constB190)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23442, 23441, 16644])).
% 7.18/5.40 tff(23444,plain,
% 7.18/5.40 (((~v159(constB190)) | (~v194(constB190))) | v159(constB190)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23445,plain,
% 7.18/5.40 ((~v159(constB190)) | (~v194(constB190))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23444, 23443])).
% 7.18/5.40 tff(23446,plain,
% 7.18/5.40 ((~(v196(constB190) <=> (~((~v159(constB190)) | (~v194(constB190)))))) | (~v196(constB190)) | (~((~v159(constB190)) | (~v194(constB190))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23447,plain,
% 7.18/5.40 (~v196(constB190)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23446, 23445, 16642])).
% 7.18/5.40 tff(23448,plain,
% 7.18/5.40 ((~(v193(constB190) | v196(constB190))) | v193(constB190) | v196(constB190)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23449,plain,
% 7.18/5.40 (~(v193(constB190) | v196(constB190))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23448, 23447, 16635])).
% 7.18/5.40 tff(23450,plain,
% 7.18/5.40 ((~(v190(constB190) <=> (v193(constB190) | v196(constB190)))) | (~v190(constB190)) | (v193(constB190) | v196(constB190))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23451,plain,
% 7.18/5.40 (~v190(constB190)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23450, 23449, 16474])).
% 7.18/5.40 tff(23452,plain,
% 7.18/5.40 ((~(v192(constB191) <=> v190(constB190))) | (~v192(constB191)) | v190(constB190)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23453,plain,
% 7.18/5.40 (~v192(constB191)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23452, 23451, 16472])).
% 7.18/5.40 tff(23454,plain,
% 7.18/5.40 ((~(v157(constB191) <=> v192(constB191))) | (~v157(constB191)) | v192(constB191)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23455,plain,
% 7.18/5.40 (~v157(constB191)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23454, 23453, 16465])).
% 7.18/5.40 tff(23456,plain,
% 7.18/5.40 (((~v157(constB191)) | (~v202(constB191))) | v157(constB191)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23457,plain,
% 7.18/5.40 ((~v157(constB191)) | (~v202(constB191))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23456, 23455])).
% 7.18/5.40 tff(23458,plain,
% 7.18/5.40 ((~(v201(constB191) <=> (~((~v157(constB191)) | (~v202(constB191)))))) | (~v201(constB191)) | (~((~v157(constB191)) | (~v202(constB191))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23459,plain,
% 7.18/5.40 (~v201(constB191)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23458, 23457, 16463])).
% 7.18/5.40 tff(23460,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB191) <=> (~((~v159(constB191)) | (~v202(constB191)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB191) <=> (~((~v159(constB191)) | (~v202(constB191))))))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23461,plain,
% 7.18/5.40 ((v205(constB191) <=> (~((~v202(constB191)) | (~v159(constB191))))) <=> (v205(constB191) <=> (~((~v159(constB191)) | (~v202(constB191)))))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23462,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB191) <=> (~((~v202(constB191)) | (~v159(constB191)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB191) <=> (~((~v159(constB191)) | (~v202(constB191))))))),
% 7.18/5.40 inference(monotonicity,[status(thm)],[23461])).
% 7.18/5.40 tff(23463,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB191) <=> (~((~v202(constB191)) | (~v159(constB191)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB191) <=> (~((~v159(constB191)) | (~v202(constB191))))))),
% 7.18/5.40 inference(transitivity,[status(thm)],[23462, 23460])).
% 7.18/5.40 tff(23464,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB191) <=> (~((~v202(constB191)) | (~v159(constB191)))))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23465,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB191) <=> (~((~v159(constB191)) | (~v202(constB191)))))),
% 7.18/5.40 inference(modus_ponens,[status(thm)],[23464, 23463])).
% 7.18/5.40 tff(23466,plain,
% 7.18/5.40 (v205(constB191) <=> (~((~v159(constB191)) | (~v202(constB191))))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23465, 138])).
% 7.18/5.40 tff(23467,plain,
% 7.18/5.40 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB191) <=> v182(constB191))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23468,plain,
% 7.18/5.40 (v159(constB191) <=> v182(constB191)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23467, 15113])).
% 7.18/5.40 tff(23469,plain,
% 7.18/5.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB190, constB191)) | (v182(constB191) <=> v180(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB190, constB191)) | (v182(constB191) <=> v180(constB190)))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23470,plain,
% 7.18/5.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB190, constB191)) | (v182(constB191) <=> v180(constB190)))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23471,plain,
% 7.18/5.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB190, constB191)) | (v182(constB191) <=> v180(constB190))),
% 7.18/5.40 inference(modus_ponens,[status(thm)],[23470, 23469])).
% 7.18/5.40 tff(23472,plain,
% 7.18/5.40 (v182(constB191) <=> v180(constB190)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23471, 16468, 15125])).
% 7.18/5.40 tff(23473,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB190) <=> (~((~v183(constB190)) | (~v184(constB190)))))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23474,plain,
% 7.18/5.40 (v180(constB190) <=> (~((~v183(constB190)) | (~v184(constB190))))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23473, 15139])).
% 7.18/5.40 tff(23475,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB190) <=> (~((~v185(constB190)) | (~v161(constB190)))))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23476,plain,
% 7.18/5.40 (v184(constB190) <=> (~((~v185(constB190)) | (~v161(constB190))))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23475, 15151])).
% 7.18/5.40 tff(23477,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23478,plain,
% 7.18/5.40 (v185(constB190) <=> (~((~v39(constB190)) | (~v9(constB190))))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23477, 93])).
% 7.18/5.40 tff(23479,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB190)) <=> v1(constB190))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23480,plain,
% 7.18/5.40 ((~v39(constB190)) <=> v1(constB190)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23479, 102])).
% 7.18/5.40 tff(23481,plain,
% 7.18/5.40 ((~((~v39(constB190)) <=> v1(constB190))) | (~v39(constB190)) | (~v1(constB190))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23482,plain,
% 7.18/5.40 ((~((~v39(constB190)) <=> v1(constB190))) | (~v39(constB190))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23481, 16582])).
% 7.18/5.40 tff(23483,plain,
% 7.18/5.40 (~v39(constB190)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23482, 23480])).
% 7.18/5.40 tff(23484,plain,
% 7.18/5.40 (((~v39(constB190)) | (~v9(constB190))) | v39(constB190)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23485,plain,
% 7.18/5.40 ((~v39(constB190)) | (~v9(constB190))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23484, 23483])).
% 7.18/5.40 tff(23486,plain,
% 7.18/5.40 ((~(v185(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))) | (~v185(constB190)) | (~((~v39(constB190)) | (~v9(constB190))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23487,plain,
% 7.18/5.40 ((~(v185(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))) | (~v185(constB190))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23486, 23485])).
% 7.18/5.40 tff(23488,plain,
% 7.18/5.40 (~v185(constB190)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23487, 23478])).
% 7.18/5.40 tff(23489,plain,
% 7.18/5.40 (((~v185(constB190)) | (~v161(constB190))) | v185(constB190)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23490,plain,
% 7.18/5.40 ((~v185(constB190)) | (~v161(constB190))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23489, 23488])).
% 7.18/5.40 tff(23491,plain,
% 7.18/5.40 ((~(v184(constB190) <=> (~((~v185(constB190)) | (~v161(constB190)))))) | (~v184(constB190)) | (~((~v185(constB190)) | (~v161(constB190))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23492,plain,
% 7.18/5.40 ((~(v184(constB190) <=> (~((~v185(constB190)) | (~v161(constB190)))))) | (~v184(constB190))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23491, 23490])).
% 7.18/5.40 tff(23493,plain,
% 7.18/5.40 (~v184(constB190)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23492, 23476])).
% 7.18/5.40 tff(23494,plain,
% 7.18/5.40 (((~v183(constB190)) | (~v184(constB190))) | v184(constB190)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23495,plain,
% 7.18/5.40 ((~v183(constB190)) | (~v184(constB190))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23494, 23493])).
% 7.18/5.40 tff(23496,plain,
% 7.18/5.40 ((~(v180(constB190) <=> (~((~v183(constB190)) | (~v184(constB190)))))) | (~v180(constB190)) | (~((~v183(constB190)) | (~v184(constB190))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23497,plain,
% 7.18/5.40 (~v180(constB190)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23496, 23495, 23474])).
% 7.18/5.40 tff(23498,plain,
% 7.18/5.40 ((~(v182(constB191) <=> v180(constB190))) | (~v182(constB191)) | v180(constB190)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23499,plain,
% 7.18/5.40 (~v182(constB191)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23498, 23497, 23472])).
% 7.18/5.40 tff(23500,plain,
% 7.18/5.40 ((~(v159(constB191) <=> v182(constB191))) | (~v159(constB191)) | v182(constB191)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23501,plain,
% 7.18/5.40 (~v159(constB191)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23500, 23499, 23468])).
% 7.18/5.40 tff(23502,plain,
% 7.18/5.40 (((~v159(constB191)) | (~v202(constB191))) | v159(constB191)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23503,plain,
% 7.18/5.40 ((~v159(constB191)) | (~v202(constB191))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23502, 23501])).
% 7.18/5.40 tff(23504,plain,
% 7.18/5.40 ((~(v205(constB191) <=> (~((~v159(constB191)) | (~v202(constB191)))))) | (~v205(constB191)) | (~((~v159(constB191)) | (~v202(constB191))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23505,plain,
% 7.18/5.40 (~v205(constB191)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23504, 23503, 23466])).
% 7.18/5.40 tff(23506,plain,
% 7.18/5.40 ((~(v201(constB191) | v205(constB191))) | v201(constB191) | v205(constB191)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23507,plain,
% 7.18/5.40 ((~(v201(constB191) | v205(constB191))) | v201(constB191)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23506, 23505])).
% 7.18/5.40 tff(23508,plain,
% 7.18/5.40 (~(v201(constB191) | v205(constB191))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23507, 23459])).
% 7.18/5.40 tff(23509,plain,
% 7.18/5.40 ((~(v200(constB191) <=> (v201(constB191) | v205(constB191)))) | (~v200(constB191)) | (v201(constB191) | v205(constB191))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23510,plain,
% 7.18/5.40 (~v200(constB191)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23509, 23508, 16456])).
% 7.18/5.40 tff(23511,plain,
% 7.18/5.40 ($false),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23510, 16454])).
% 7.18/5.40 tff(23512,plain,(~(constB191 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.18/5.40 tff(23513,assumption,(constB150 = VarCurr!0), introduced(assumption)).
% 7.18/5.40 tff(23514,plain,
% 7.18/5.40 (v200(constB150) <=> v200(VarCurr!0)),
% 7.18/5.40 inference(monotonicity,[status(thm)],[23513])).
% 7.18/5.40 tff(23515,plain,
% 7.18/5.40 (v200(VarCurr!0) <=> v200(constB150)),
% 7.18/5.40 inference(symmetry,[status(thm)],[23514])).
% 7.18/5.40 tff(23516,plain,
% 7.18/5.40 (v200(constB150)),
% 7.18/5.40 inference(modus_ponens,[status(thm)],[27, 23515])).
% 7.18/5.40 tff(23517,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB150) <=> (v201(constB150) | v205(constB150)))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23518,plain,
% 7.18/5.40 (v200(constB150) <=> (v201(constB150) | v205(constB150))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23517, 35])).
% 7.18/5.40 tff(23519,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB150) <=> (~((~v157(constB150)) | (~v202(constB150)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB150) <=> (~((~v157(constB150)) | (~v202(constB150))))))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23520,plain,
% 7.18/5.40 ((v201(constB150) <=> (~((~v202(constB150)) | (~v157(constB150))))) <=> (v201(constB150) <=> (~((~v157(constB150)) | (~v202(constB150)))))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23521,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB150) <=> (~((~v202(constB150)) | (~v157(constB150)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB150) <=> (~((~v157(constB150)) | (~v202(constB150))))))),
% 7.18/5.40 inference(monotonicity,[status(thm)],[23520])).
% 7.18/5.40 tff(23522,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB150) <=> (~((~v202(constB150)) | (~v157(constB150)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB150) <=> (~((~v157(constB150)) | (~v202(constB150))))))),
% 7.18/5.40 inference(transitivity,[status(thm)],[23521, 23519])).
% 7.18/5.40 tff(23523,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB150) <=> (~((~v202(constB150)) | (~v157(constB150)))))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23524,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB150) <=> (~((~v157(constB150)) | (~v202(constB150)))))),
% 7.18/5.40 inference(modus_ponens,[status(thm)],[23523, 23522])).
% 7.18/5.40 tff(23525,plain,
% 7.18/5.40 (v201(constB150) <=> (~((~v157(constB150)) | (~v202(constB150))))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23524, 47])).
% 7.18/5.40 tff(23526,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB150) <=> (~((~v183(constB150)) | (~v203(constB150)))))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23527,plain,
% 7.18/5.40 (v202(constB150) <=> (~((~v183(constB150)) | (~v203(constB150))))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23526, 64])).
% 7.18/5.40 tff(23528,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB150) <=> (~((~v185(constB150)) | (~v204(constB150)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB150) <=> (~((~v185(constB150)) | (~v204(constB150))))))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23529,plain,
% 7.18/5.40 ((v203(constB150) <=> (~((~v204(constB150)) | (~v185(constB150))))) <=> (v203(constB150) <=> (~((~v185(constB150)) | (~v204(constB150)))))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23530,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB150) <=> (~((~v204(constB150)) | (~v185(constB150)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB150) <=> (~((~v185(constB150)) | (~v204(constB150))))))),
% 7.18/5.40 inference(monotonicity,[status(thm)],[23529])).
% 7.18/5.40 tff(23531,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB150) <=> (~((~v204(constB150)) | (~v185(constB150)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB150) <=> (~((~v185(constB150)) | (~v204(constB150))))))),
% 7.18/5.40 inference(transitivity,[status(thm)],[23530, 23528])).
% 7.18/5.40 tff(23532,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB150) <=> (~((~v204(constB150)) | (~v185(constB150)))))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23533,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB150) <=> (~((~v185(constB150)) | (~v204(constB150)))))),
% 7.18/5.40 inference(modus_ponens,[status(thm)],[23532, 23531])).
% 7.18/5.40 tff(23534,plain,
% 7.18/5.40 (v203(constB150) <=> (~((~v185(constB150)) | (~v204(constB150))))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23533, 76])).
% 7.18/5.40 tff(23535,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23536,plain,
% 7.18/5.40 (v185(constB150) <=> (~((~v39(constB150)) | (~v9(constB150))))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23535, 93])).
% 7.18/5.40 tff(23537,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB150)) <=> v1(constB150))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23538,plain,
% 7.18/5.40 ((~v39(constB150)) <=> v1(constB150)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23537, 102])).
% 7.18/5.40 tff(23539,plain,
% 7.18/5.40 ((~((~v39(constB150)) <=> v1(constB150))) | (~v39(constB150)) | (~v1(constB150))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23540,plain,
% 7.18/5.40 ((~((~v39(constB150)) <=> v1(constB150))) | (~v39(constB150))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23539, 20226])).
% 7.18/5.40 tff(23541,plain,
% 7.18/5.40 (~v39(constB150)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23540, 23538])).
% 7.18/5.40 tff(23542,plain,
% 7.18/5.40 (((~v39(constB150)) | (~v9(constB150))) | v39(constB150)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23543,plain,
% 7.18/5.40 ((~v39(constB150)) | (~v9(constB150))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23542, 23541])).
% 7.18/5.40 tff(23544,plain,
% 7.18/5.40 ((~(v185(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))) | (~v185(constB150)) | (~((~v39(constB150)) | (~v9(constB150))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23545,plain,
% 7.18/5.40 ((~(v185(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))) | (~v185(constB150))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23544, 23543])).
% 7.18/5.40 tff(23546,plain,
% 7.18/5.40 (~v185(constB150)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23545, 23536])).
% 7.18/5.40 tff(23547,plain,
% 7.18/5.40 (((~v185(constB150)) | (~v204(constB150))) | v185(constB150)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23548,plain,
% 7.18/5.40 ((~v185(constB150)) | (~v204(constB150))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23547, 23546])).
% 7.18/5.40 tff(23549,plain,
% 7.18/5.40 ((~(v203(constB150) <=> (~((~v185(constB150)) | (~v204(constB150)))))) | (~v203(constB150)) | (~((~v185(constB150)) | (~v204(constB150))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23550,plain,
% 7.18/5.40 ((~(v203(constB150) <=> (~((~v185(constB150)) | (~v204(constB150)))))) | (~v203(constB150))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23549, 23548])).
% 7.18/5.40 tff(23551,plain,
% 7.18/5.40 (~v203(constB150)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23550, 23534])).
% 7.18/5.40 tff(23552,plain,
% 7.18/5.40 (((~v183(constB150)) | (~v203(constB150))) | v203(constB150)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23553,plain,
% 7.18/5.40 ((~v183(constB150)) | (~v203(constB150))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23552, 23551])).
% 7.18/5.40 tff(23554,plain,
% 7.18/5.40 ((~(v202(constB150) <=> (~((~v183(constB150)) | (~v203(constB150)))))) | (~v202(constB150)) | (~((~v183(constB150)) | (~v203(constB150))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23555,plain,
% 7.18/5.40 (~v202(constB150)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23554, 23553, 23527])).
% 7.18/5.40 tff(23556,plain,
% 7.18/5.40 (((~v157(constB150)) | (~v202(constB150))) | v202(constB150)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23557,plain,
% 7.18/5.40 ((~v157(constB150)) | (~v202(constB150))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23556, 23555])).
% 7.18/5.40 tff(23558,plain,
% 7.18/5.40 ((~(v201(constB150) <=> (~((~v157(constB150)) | (~v202(constB150)))))) | (~v201(constB150)) | (~((~v157(constB150)) | (~v202(constB150))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23559,plain,
% 7.18/5.40 (~v201(constB150)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23558, 23557, 23525])).
% 7.18/5.40 tff(23560,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB150) <=> (~((~v159(constB150)) | (~v202(constB150)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB150) <=> (~((~v159(constB150)) | (~v202(constB150))))))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23561,plain,
% 7.18/5.40 ((v205(constB150) <=> (~((~v202(constB150)) | (~v159(constB150))))) <=> (v205(constB150) <=> (~((~v159(constB150)) | (~v202(constB150)))))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23562,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB150) <=> (~((~v202(constB150)) | (~v159(constB150)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB150) <=> (~((~v159(constB150)) | (~v202(constB150))))))),
% 7.18/5.40 inference(monotonicity,[status(thm)],[23561])).
% 7.18/5.40 tff(23563,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB150) <=> (~((~v202(constB150)) | (~v159(constB150)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB150) <=> (~((~v159(constB150)) | (~v202(constB150))))))),
% 7.18/5.40 inference(transitivity,[status(thm)],[23562, 23560])).
% 7.18/5.40 tff(23564,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB150) <=> (~((~v202(constB150)) | (~v159(constB150)))))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23565,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB150) <=> (~((~v159(constB150)) | (~v202(constB150)))))),
% 7.18/5.40 inference(modus_ponens,[status(thm)],[23564, 23563])).
% 7.18/5.40 tff(23566,plain,
% 7.18/5.40 (v205(constB150) <=> (~((~v159(constB150)) | (~v202(constB150))))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23565, 138])).
% 7.18/5.40 tff(23567,plain,
% 7.18/5.40 (((~v159(constB150)) | (~v202(constB150))) | v202(constB150)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23568,plain,
% 7.18/5.40 ((~v159(constB150)) | (~v202(constB150))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23567, 23555])).
% 7.18/5.40 tff(23569,plain,
% 7.18/5.40 ((~(v205(constB150) <=> (~((~v159(constB150)) | (~v202(constB150)))))) | (~v205(constB150)) | (~((~v159(constB150)) | (~v202(constB150))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23570,plain,
% 7.18/5.40 (~v205(constB150)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23569, 23568, 23566])).
% 7.18/5.40 tff(23571,plain,
% 7.18/5.40 ((~(v201(constB150) | v205(constB150))) | v201(constB150) | v205(constB150)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23572,plain,
% 7.18/5.40 (~(v201(constB150) | v205(constB150))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23571, 23570, 23559])).
% 7.18/5.40 tff(23573,plain,
% 7.18/5.40 ((~(v200(constB150) <=> (v201(constB150) | v205(constB150)))) | (~v200(constB150)) | (v201(constB150) | v205(constB150))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23574,plain,
% 7.18/5.40 ((~(v200(constB150) <=> (v201(constB150) | v205(constB150)))) | (~v200(constB150))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23573, 23572])).
% 7.18/5.40 tff(23575,plain,
% 7.18/5.40 (~v200(constB150)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23574, 23518])).
% 7.18/5.40 tff(23576,plain,
% 7.18/5.40 ($false),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23575, 23516])).
% 7.18/5.40 tff(23577,plain,(~(constB150 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.18/5.40 tff(23578,assumption,(constB39 = VarCurr!0), introduced(assumption)).
% 7.18/5.40 tff(23579,plain,
% 7.18/5.40 (v200(constB39) <=> v200(VarCurr!0)),
% 7.18/5.40 inference(monotonicity,[status(thm)],[23578])).
% 7.18/5.40 tff(23580,plain,
% 7.18/5.40 (v200(VarCurr!0) <=> v200(constB39)),
% 7.18/5.40 inference(symmetry,[status(thm)],[23579])).
% 7.18/5.40 tff(23581,plain,
% 7.18/5.40 (v200(constB39)),
% 7.18/5.40 inference(modus_ponens,[status(thm)],[27, 23580])).
% 7.18/5.40 tff(23582,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB39) <=> (v201(constB39) | v205(constB39)))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23583,plain,
% 7.18/5.40 (v200(constB39) <=> (v201(constB39) | v205(constB39))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23582, 35])).
% 7.18/5.40 tff(23584,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB39) <=> (~((~v157(constB39)) | (~v202(constB39)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB39) <=> (~((~v157(constB39)) | (~v202(constB39))))))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23585,plain,
% 7.18/5.40 ((v201(constB39) <=> (~((~v202(constB39)) | (~v157(constB39))))) <=> (v201(constB39) <=> (~((~v157(constB39)) | (~v202(constB39)))))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23586,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB39) <=> (~((~v202(constB39)) | (~v157(constB39)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB39) <=> (~((~v157(constB39)) | (~v202(constB39))))))),
% 7.18/5.40 inference(monotonicity,[status(thm)],[23585])).
% 7.18/5.40 tff(23587,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB39) <=> (~((~v202(constB39)) | (~v157(constB39)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB39) <=> (~((~v157(constB39)) | (~v202(constB39))))))),
% 7.18/5.40 inference(transitivity,[status(thm)],[23586, 23584])).
% 7.18/5.40 tff(23588,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB39) <=> (~((~v202(constB39)) | (~v157(constB39)))))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23589,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB39) <=> (~((~v157(constB39)) | (~v202(constB39)))))),
% 7.18/5.40 inference(modus_ponens,[status(thm)],[23588, 23587])).
% 7.18/5.40 tff(23590,plain,
% 7.18/5.40 (v201(constB39) <=> (~((~v157(constB39)) | (~v202(constB39))))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23589, 47])).
% 7.18/5.40 tff(23591,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB39) <=> (~((~v183(constB39)) | (~v203(constB39)))))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23592,plain,
% 7.18/5.40 (v202(constB39) <=> (~((~v183(constB39)) | (~v203(constB39))))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23591, 64])).
% 7.18/5.40 tff(23593,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB39) <=> (~((~v185(constB39)) | (~v204(constB39)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB39) <=> (~((~v185(constB39)) | (~v204(constB39))))))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23594,plain,
% 7.18/5.40 ((v203(constB39) <=> (~((~v204(constB39)) | (~v185(constB39))))) <=> (v203(constB39) <=> (~((~v185(constB39)) | (~v204(constB39)))))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23595,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB39) <=> (~((~v204(constB39)) | (~v185(constB39)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB39) <=> (~((~v185(constB39)) | (~v204(constB39))))))),
% 7.18/5.40 inference(monotonicity,[status(thm)],[23594])).
% 7.18/5.40 tff(23596,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB39) <=> (~((~v204(constB39)) | (~v185(constB39)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB39) <=> (~((~v185(constB39)) | (~v204(constB39))))))),
% 7.18/5.40 inference(transitivity,[status(thm)],[23595, 23593])).
% 7.18/5.40 tff(23597,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB39) <=> (~((~v204(constB39)) | (~v185(constB39)))))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23598,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB39) <=> (~((~v185(constB39)) | (~v204(constB39)))))),
% 7.18/5.40 inference(modus_ponens,[status(thm)],[23597, 23596])).
% 7.18/5.40 tff(23599,plain,
% 7.18/5.40 (v203(constB39) <=> (~((~v185(constB39)) | (~v204(constB39))))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23598, 76])).
% 7.18/5.40 tff(23600,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))) | ((~v204(constB39)) <=> v84(constB39))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23601,plain,
% 7.18/5.40 ((~v204(constB39)) <=> v84(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23600, 185])).
% 7.18/5.40 tff(23602,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB39) <=> v86(constB39))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23603,plain,
% 7.18/5.40 (v84(constB39) <=> v86(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23602, 194])).
% 7.18/5.40 tff(23604,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB39) <=> (v136(constB39) | v145(constB39)))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23605,plain,
% 7.18/5.40 (v135(constB39) <=> (v136(constB39) | v145(constB39))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23604, 203])).
% 7.18/5.40 tff(23606,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB39) <=> (v137(constB39) | v142(constB39)))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23607,plain,
% 7.18/5.40 (v136(constB39) <=> (v137(constB39) | v142(constB39))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23606, 212])).
% 7.18/5.40 tff(23608,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB39) <=> (v143(constB39) | v144(constB39)))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23609,plain,
% 7.18/5.40 (v142(constB39) <=> (v143(constB39) | v144(constB39))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23608, 221])).
% 7.18/5.40 tff(23610,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB39) <=> (~((~v88(constB39, 1)) | v88(constB39, 2) | v88(constB39, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB39) <=> (~((~v88(constB39, 1)) | v88(constB39, 2) | v88(constB39, 0)))))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23611,plain,
% 7.18/5.40 ((v143(constB39) <=> (~(v88(constB39, 0) | v88(constB39, 2) | (~v88(constB39, 1))))) <=> (v143(constB39) <=> (~((~v88(constB39, 1)) | v88(constB39, 2) | v88(constB39, 0))))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23612,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB39) <=> (~(v88(constB39, 0) | v88(constB39, 2) | (~v88(constB39, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB39) <=> (~((~v88(constB39, 1)) | v88(constB39, 2) | v88(constB39, 0)))))),
% 7.18/5.40 inference(monotonicity,[status(thm)],[23611])).
% 7.18/5.40 tff(23613,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB39) <=> (~(v88(constB39, 0) | v88(constB39, 2) | (~v88(constB39, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB39) <=> (~((~v88(constB39, 1)) | v88(constB39, 2) | v88(constB39, 0)))))),
% 7.18/5.40 inference(transitivity,[status(thm)],[23612, 23610])).
% 7.18/5.40 tff(23614,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB39) <=> (~(v88(constB39, 0) | v88(constB39, 2) | (~v88(constB39, 1)))))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23615,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB39) <=> (~((~v88(constB39, 1)) | v88(constB39, 2) | v88(constB39, 0))))),
% 7.18/5.40 inference(modus_ponens,[status(thm)],[23614, 23613])).
% 7.18/5.40 tff(23616,plain,
% 7.18/5.40 (v143(constB39) <=> (~((~v88(constB39, 1)) | v88(constB39, 2) | v88(constB39, 0)))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23615, 236])).
% 7.18/5.40 tff(23617,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB39, 1)) <=> v90(constB39, 1)) | ((~v88(constB39, 2)) <=> v90(constB39, 2)) | ((~v88(constB39, 0)) <=> v90(constB39, 0))))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23618,plain,
% 7.18/5.40 (~(((~v88(constB39, 1)) <=> v90(constB39, 1)) | ((~v88(constB39, 2)) <=> v90(constB39, 2)) | ((~v88(constB39, 0)) <=> v90(constB39, 0)))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23617, 256])).
% 7.18/5.40 tff(23619,plain,
% 7.18/5.40 ((((~v88(constB39, 1)) <=> v90(constB39, 1)) | ((~v88(constB39, 2)) <=> v90(constB39, 2)) | ((~v88(constB39, 0)) <=> v90(constB39, 0))) | (~((~v88(constB39, 2)) <=> v90(constB39, 2)))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23620,plain,
% 7.18/5.40 (~((~v88(constB39, 2)) <=> v90(constB39, 2))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23619, 23618])).
% 7.18/5.40 tff(23621,plain,
% 7.18/5.40 (((~v88(constB39, 2)) <=> v90(constB39, 2)) | (~v88(constB39, 2)) | v90(constB39, 2)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23622,plain,
% 7.18/5.40 (~v88(constB39, 2)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23621, 7793, 23620])).
% 7.18/5.40 tff(23623,plain,
% 7.18/5.40 ((((~v88(constB39, 1)) <=> v90(constB39, 1)) | ((~v88(constB39, 2)) <=> v90(constB39, 2)) | ((~v88(constB39, 0)) <=> v90(constB39, 0))) | (~((~v88(constB39, 0)) <=> v90(constB39, 0)))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23624,plain,
% 7.18/5.40 (~((~v88(constB39, 0)) <=> v90(constB39, 0))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23623, 23618])).
% 7.18/5.40 tff(23625,plain,
% 7.18/5.40 (((~v88(constB39, 0)) <=> v90(constB39, 0)) | (~v88(constB39, 0)) | v90(constB39, 0)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23626,plain,
% 7.18/5.40 (~v88(constB39, 0)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23625, 7811, 23624])).
% 7.18/5.40 tff(23627,plain,
% 7.18/5.40 ((((~v88(constB39, 1)) <=> v90(constB39, 1)) | ((~v88(constB39, 2)) <=> v90(constB39, 2)) | ((~v88(constB39, 0)) <=> v90(constB39, 0))) | (~((~v88(constB39, 1)) <=> v90(constB39, 1)))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23628,plain,
% 7.18/5.40 (~((~v88(constB39, 1)) <=> v90(constB39, 1))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23627, 23618])).
% 7.18/5.40 tff(23629,plain,
% 7.18/5.40 (((~v88(constB39, 1)) <=> v90(constB39, 1)) | v88(constB39, 1) | (~v90(constB39, 1))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23630,plain,
% 7.18/5.40 (v88(constB39, 1)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23629, 7829, 23628])).
% 7.18/5.40 tff(23631,plain,
% 7.18/5.40 ((~((~v88(constB39, 1)) | v88(constB39, 2) | v88(constB39, 0))) | (~v88(constB39, 1)) | v88(constB39, 2) | v88(constB39, 0)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23632,plain,
% 7.18/5.40 (~((~v88(constB39, 1)) | v88(constB39, 2) | v88(constB39, 0))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23631, 23630, 23626, 23622])).
% 7.18/5.40 tff(23633,plain,
% 7.18/5.40 ((~(v143(constB39) <=> (~((~v88(constB39, 1)) | v88(constB39, 2) | v88(constB39, 0))))) | v143(constB39) | ((~v88(constB39, 1)) | v88(constB39, 2) | v88(constB39, 0))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23634,plain,
% 7.18/5.40 (v143(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23633, 23632, 23616])).
% 7.18/5.40 tff(23635,plain,
% 7.18/5.40 ((v143(constB39) | v144(constB39)) | (~v143(constB39))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23636,plain,
% 7.18/5.40 (v143(constB39) | v144(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23635, 23634])).
% 7.18/5.40 tff(23637,plain,
% 7.18/5.40 ((~(v142(constB39) <=> (v143(constB39) | v144(constB39)))) | v142(constB39) | (~(v143(constB39) | v144(constB39)))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23638,plain,
% 7.18/5.40 (v142(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23637, 23636, 23609])).
% 7.18/5.40 tff(23639,plain,
% 7.18/5.40 ((v137(constB39) | v142(constB39)) | (~v142(constB39))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23640,plain,
% 7.18/5.40 (v137(constB39) | v142(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23639, 23638])).
% 7.18/5.40 tff(23641,plain,
% 7.18/5.40 ((~(v136(constB39) <=> (v137(constB39) | v142(constB39)))) | v136(constB39) | (~(v137(constB39) | v142(constB39)))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23642,plain,
% 7.18/5.40 ((~(v136(constB39) <=> (v137(constB39) | v142(constB39)))) | v136(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23641, 23640])).
% 7.18/5.40 tff(23643,plain,
% 7.18/5.40 (v136(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23642, 23607])).
% 7.18/5.40 tff(23644,plain,
% 7.18/5.40 ((v136(constB39) | v145(constB39)) | (~v136(constB39))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23645,plain,
% 7.18/5.40 (v136(constB39) | v145(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23644, 23643])).
% 7.18/5.40 tff(23646,plain,
% 7.18/5.40 ((~(v135(constB39) <=> (v136(constB39) | v145(constB39)))) | v135(constB39) | (~(v136(constB39) | v145(constB39)))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23647,plain,
% 7.18/5.40 (v135(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23646, 23645, 23605])).
% 7.18/5.40 tff(23648,plain,
% 7.18/5.40 (((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB39)) | (v86(constB39) <=> v148(constB39)))) <=> ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB39)) | (v86(constB39) <=> v148(constB39)))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23649,plain,
% 7.18/5.40 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB39)) | (v86(constB39) <=> v148(constB39)))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23650,plain,
% 7.18/5.40 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB39)) | (v86(constB39) <=> v148(constB39))),
% 7.18/5.40 inference(modus_ponens,[status(thm)],[23649, 23648])).
% 7.18/5.40 tff(23651,plain,
% 7.18/5.40 (v86(constB39) <=> v148(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23650, 15057, 23647])).
% 7.18/5.40 tff(23652,plain,
% 7.18/5.40 (((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB39) | (~v142(constB39)))) <=> ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB39) | (~v142(constB39)))),
% 7.18/5.40 inference(rewrite,[status(thm)],[])).
% 7.18/5.40 tff(23653,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB39) | (~v142(constB39)))),
% 7.18/5.40 inference(quant_inst,[status(thm)],[])).
% 7.18/5.40 tff(23654,plain,
% 7.18/5.40 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB39) | (~v142(constB39))),
% 7.18/5.40 inference(modus_ponens,[status(thm)],[23653, 23652])).
% 7.18/5.40 tff(23655,plain,
% 7.18/5.40 (v148(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23654, 15071, 23638])).
% 7.18/5.40 tff(23656,plain,
% 7.18/5.40 ((~(v86(constB39) <=> v148(constB39))) | v86(constB39) | (~v148(constB39))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23657,plain,
% 7.18/5.40 ((~(v86(constB39) <=> v148(constB39))) | v86(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23656, 23655])).
% 7.18/5.40 tff(23658,plain,
% 7.18/5.40 (v86(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23657, 23651])).
% 7.18/5.40 tff(23659,plain,
% 7.18/5.40 ((~(v84(constB39) <=> v86(constB39))) | v84(constB39) | (~v86(constB39))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23660,plain,
% 7.18/5.40 ((~(v84(constB39) <=> v86(constB39))) | v84(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23659, 23658])).
% 7.18/5.40 tff(23661,plain,
% 7.18/5.40 (v84(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23660, 23603])).
% 7.18/5.40 tff(23662,plain,
% 7.18/5.40 ((~((~v204(constB39)) <=> v84(constB39))) | (~v204(constB39)) | (~v84(constB39))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23663,plain,
% 7.18/5.40 ((~((~v204(constB39)) <=> v84(constB39))) | (~v204(constB39))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23662, 23661])).
% 7.18/5.40 tff(23664,plain,
% 7.18/5.40 (~v204(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23663, 23601])).
% 7.18/5.40 tff(23665,plain,
% 7.18/5.40 (((~v185(constB39)) | (~v204(constB39))) | v204(constB39)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23666,plain,
% 7.18/5.40 ((~v185(constB39)) | (~v204(constB39))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23665, 23664])).
% 7.18/5.40 tff(23667,plain,
% 7.18/5.40 ((~(v203(constB39) <=> (~((~v185(constB39)) | (~v204(constB39)))))) | (~v203(constB39)) | (~((~v185(constB39)) | (~v204(constB39))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23668,plain,
% 7.18/5.40 (~v203(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23667, 23666, 23599])).
% 7.18/5.40 tff(23669,plain,
% 7.18/5.40 (((~v183(constB39)) | (~v203(constB39))) | v203(constB39)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23670,plain,
% 7.18/5.40 ((~v183(constB39)) | (~v203(constB39))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23669, 23668])).
% 7.18/5.40 tff(23671,plain,
% 7.18/5.40 ((~(v202(constB39) <=> (~((~v183(constB39)) | (~v203(constB39)))))) | (~v202(constB39)) | (~((~v183(constB39)) | (~v203(constB39))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23672,plain,
% 7.18/5.40 (~v202(constB39)),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23671, 23670, 23592])).
% 7.18/5.40 tff(23673,plain,
% 7.18/5.40 (((~v157(constB39)) | (~v202(constB39))) | v202(constB39)),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.40 tff(23674,plain,
% 7.18/5.40 ((~v157(constB39)) | (~v202(constB39))),
% 7.18/5.40 inference(unit_resolution,[status(thm)],[23673, 23672])).
% 7.18/5.40 tff(23675,plain,
% 7.18/5.40 ((~(v201(constB39) <=> (~((~v157(constB39)) | (~v202(constB39)))))) | (~v201(constB39)) | (~((~v157(constB39)) | (~v202(constB39))))),
% 7.18/5.40 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23676,plain,
% 7.18/5.41 (~v201(constB39)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23675, 23674, 23590])).
% 7.18/5.41 tff(23677,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB39) <=> (~((~v159(constB39)) | (~v202(constB39)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB39) <=> (~((~v159(constB39)) | (~v202(constB39))))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23678,plain,
% 7.18/5.41 ((v205(constB39) <=> (~((~v202(constB39)) | (~v159(constB39))))) <=> (v205(constB39) <=> (~((~v159(constB39)) | (~v202(constB39)))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23679,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB39) <=> (~((~v202(constB39)) | (~v159(constB39)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB39) <=> (~((~v159(constB39)) | (~v202(constB39))))))),
% 7.18/5.41 inference(monotonicity,[status(thm)],[23678])).
% 7.18/5.41 tff(23680,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB39) <=> (~((~v202(constB39)) | (~v159(constB39)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB39) <=> (~((~v159(constB39)) | (~v202(constB39))))))),
% 7.18/5.41 inference(transitivity,[status(thm)],[23679, 23677])).
% 7.18/5.41 tff(23681,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB39) <=> (~((~v202(constB39)) | (~v159(constB39)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23682,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB39) <=> (~((~v159(constB39)) | (~v202(constB39)))))),
% 7.18/5.41 inference(modus_ponens,[status(thm)],[23681, 23680])).
% 7.18/5.41 tff(23683,plain,
% 7.18/5.41 (v205(constB39) <=> (~((~v159(constB39)) | (~v202(constB39))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23682, 138])).
% 7.18/5.41 tff(23684,plain,
% 7.18/5.41 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB39) <=> v182(constB39))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23685,plain,
% 7.18/5.41 (v159(constB39) <=> v182(constB39)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23684, 15113])).
% 7.18/5.41 tff(23686,plain,
% 7.18/5.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB38, constB39)) | (v182(constB39) <=> v180(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB38, constB39)) | (v182(constB39) <=> v180(constB38)))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23687,plain,
% 7.18/5.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB38, constB39)) | (v182(constB39) <=> v180(constB38)))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23688,plain,
% 7.18/5.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB38, constB39)) | (v182(constB39) <=> v180(constB38))),
% 7.18/5.41 inference(modus_ponens,[status(thm)],[23687, 23686])).
% 7.18/5.41 tff(23689,plain,
% 7.18/5.41 (v182(constB39) <=> v180(constB38)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23688, 3293, 15125])).
% 7.18/5.41 tff(23690,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB38) <=> (~((~v183(constB38)) | (~v184(constB38)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23691,plain,
% 7.18/5.41 (v180(constB38) <=> (~((~v183(constB38)) | (~v184(constB38))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23690, 15139])).
% 7.18/5.41 tff(23692,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB38) <=> (~((~v185(constB38)) | (~v161(constB38)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23693,plain,
% 7.18/5.41 (v184(constB38) <=> (~((~v185(constB38)) | (~v161(constB38))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23692, 15151])).
% 7.18/5.41 tff(23694,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23695,plain,
% 7.18/5.41 (v185(constB38) <=> (~((~v39(constB38)) | (~v9(constB38))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23694, 93])).
% 7.18/5.41 tff(23696,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB38)) <=> v1(constB38))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23697,plain,
% 7.18/5.41 ((~v39(constB38)) <=> v1(constB38)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23696, 102])).
% 7.18/5.41 tff(23698,plain,
% 7.18/5.41 ((~((~v39(constB38)) <=> v1(constB38))) | (~v39(constB38)) | (~v1(constB38))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23699,plain,
% 7.18/5.41 ((~((~v39(constB38)) <=> v1(constB38))) | (~v39(constB38))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23698, 7710])).
% 7.18/5.41 tff(23700,plain,
% 7.18/5.41 (~v39(constB38)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23699, 23697])).
% 7.18/5.41 tff(23701,plain,
% 7.18/5.41 (((~v39(constB38)) | (~v9(constB38))) | v39(constB38)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23702,plain,
% 7.18/5.41 ((~v39(constB38)) | (~v9(constB38))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23701, 23700])).
% 7.18/5.41 tff(23703,plain,
% 7.18/5.41 ((~(v185(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))) | (~v185(constB38)) | (~((~v39(constB38)) | (~v9(constB38))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23704,plain,
% 7.18/5.41 ((~(v185(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))) | (~v185(constB38))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23703, 23702])).
% 7.18/5.41 tff(23705,plain,
% 7.18/5.41 (~v185(constB38)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23704, 23695])).
% 7.18/5.41 tff(23706,plain,
% 7.18/5.41 (((~v185(constB38)) | (~v161(constB38))) | v185(constB38)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23707,plain,
% 7.18/5.41 ((~v185(constB38)) | (~v161(constB38))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23706, 23705])).
% 7.18/5.41 tff(23708,plain,
% 7.18/5.41 ((~(v184(constB38) <=> (~((~v185(constB38)) | (~v161(constB38)))))) | (~v184(constB38)) | (~((~v185(constB38)) | (~v161(constB38))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23709,plain,
% 7.18/5.41 ((~(v184(constB38) <=> (~((~v185(constB38)) | (~v161(constB38)))))) | (~v184(constB38))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23708, 23707])).
% 7.18/5.41 tff(23710,plain,
% 7.18/5.41 (~v184(constB38)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23709, 23693])).
% 7.18/5.41 tff(23711,plain,
% 7.18/5.41 (((~v183(constB38)) | (~v184(constB38))) | v184(constB38)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23712,plain,
% 7.18/5.41 ((~v183(constB38)) | (~v184(constB38))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23711, 23710])).
% 7.18/5.41 tff(23713,plain,
% 7.18/5.41 ((~(v180(constB38) <=> (~((~v183(constB38)) | (~v184(constB38)))))) | (~v180(constB38)) | (~((~v183(constB38)) | (~v184(constB38))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23714,plain,
% 7.18/5.41 (~v180(constB38)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23713, 23712, 23691])).
% 7.18/5.41 tff(23715,plain,
% 7.18/5.41 ((~(v182(constB39) <=> v180(constB38))) | (~v182(constB39)) | v180(constB38)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23716,plain,
% 7.18/5.41 (~v182(constB39)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23715, 23714, 23689])).
% 7.18/5.41 tff(23717,plain,
% 7.18/5.41 ((~(v159(constB39) <=> v182(constB39))) | (~v159(constB39)) | v182(constB39)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23718,plain,
% 7.18/5.41 (~v159(constB39)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23717, 23716, 23685])).
% 7.18/5.41 tff(23719,plain,
% 7.18/5.41 (((~v159(constB39)) | (~v202(constB39))) | v159(constB39)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23720,plain,
% 7.18/5.41 ((~v159(constB39)) | (~v202(constB39))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23719, 23718])).
% 7.18/5.41 tff(23721,plain,
% 7.18/5.41 ((~(v205(constB39) <=> (~((~v159(constB39)) | (~v202(constB39)))))) | (~v205(constB39)) | (~((~v159(constB39)) | (~v202(constB39))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23722,plain,
% 7.18/5.41 (~v205(constB39)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23721, 23720, 23683])).
% 7.18/5.41 tff(23723,plain,
% 7.18/5.41 ((~(v201(constB39) | v205(constB39))) | v201(constB39) | v205(constB39)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23724,plain,
% 7.18/5.41 ((~(v201(constB39) | v205(constB39))) | v201(constB39)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23723, 23722])).
% 7.18/5.41 tff(23725,plain,
% 7.18/5.41 (~(v201(constB39) | v205(constB39))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23724, 23676])).
% 7.18/5.41 tff(23726,plain,
% 7.18/5.41 ((~(v200(constB39) <=> (v201(constB39) | v205(constB39)))) | (~v200(constB39)) | (v201(constB39) | v205(constB39))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23727,plain,
% 7.18/5.41 (~v200(constB39)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23726, 23725, 23583])).
% 7.18/5.41 tff(23728,plain,
% 7.18/5.41 ($false),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23727, 23581])).
% 7.18/5.41 tff(23729,plain,(~(constB39 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.18/5.41 tff(23730,assumption,(constB32 = VarCurr!0), introduced(assumption)).
% 7.18/5.41 tff(23731,plain,
% 7.18/5.41 (v200(constB32) <=> v200(VarCurr!0)),
% 7.18/5.41 inference(monotonicity,[status(thm)],[23730])).
% 7.18/5.41 tff(23732,plain,
% 7.18/5.41 (v200(VarCurr!0) <=> v200(constB32)),
% 7.18/5.41 inference(symmetry,[status(thm)],[23731])).
% 7.18/5.41 tff(23733,plain,
% 7.18/5.41 (v200(constB32)),
% 7.18/5.41 inference(modus_ponens,[status(thm)],[27, 23732])).
% 7.18/5.41 tff(23734,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB32) <=> (v201(constB32) | v205(constB32)))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23735,plain,
% 7.18/5.41 (v200(constB32) <=> (v201(constB32) | v205(constB32))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23734, 35])).
% 7.18/5.41 tff(23736,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB32) <=> (~((~v157(constB32)) | (~v202(constB32)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB32) <=> (~((~v157(constB32)) | (~v202(constB32))))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23737,plain,
% 7.18/5.41 ((v201(constB32) <=> (~((~v202(constB32)) | (~v157(constB32))))) <=> (v201(constB32) <=> (~((~v157(constB32)) | (~v202(constB32)))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23738,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB32) <=> (~((~v202(constB32)) | (~v157(constB32)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB32) <=> (~((~v157(constB32)) | (~v202(constB32))))))),
% 7.18/5.41 inference(monotonicity,[status(thm)],[23737])).
% 7.18/5.41 tff(23739,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB32) <=> (~((~v202(constB32)) | (~v157(constB32)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB32) <=> (~((~v157(constB32)) | (~v202(constB32))))))),
% 7.18/5.41 inference(transitivity,[status(thm)],[23738, 23736])).
% 7.18/5.41 tff(23740,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB32) <=> (~((~v202(constB32)) | (~v157(constB32)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23741,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB32) <=> (~((~v157(constB32)) | (~v202(constB32)))))),
% 7.18/5.41 inference(modus_ponens,[status(thm)],[23740, 23739])).
% 7.18/5.41 tff(23742,plain,
% 7.18/5.41 (v201(constB32) <=> (~((~v157(constB32)) | (~v202(constB32))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23741, 47])).
% 7.18/5.41 tff(23743,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB32) <=> (~((~v183(constB32)) | (~v203(constB32)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23744,plain,
% 7.18/5.41 (v202(constB32) <=> (~((~v183(constB32)) | (~v203(constB32))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23743, 64])).
% 7.18/5.41 tff(23745,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB32) <=> (~((~v185(constB32)) | (~v204(constB32)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB32) <=> (~((~v185(constB32)) | (~v204(constB32))))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23746,plain,
% 7.18/5.41 ((v203(constB32) <=> (~((~v204(constB32)) | (~v185(constB32))))) <=> (v203(constB32) <=> (~((~v185(constB32)) | (~v204(constB32)))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23747,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB32) <=> (~((~v204(constB32)) | (~v185(constB32)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB32) <=> (~((~v185(constB32)) | (~v204(constB32))))))),
% 7.18/5.41 inference(monotonicity,[status(thm)],[23746])).
% 7.18/5.41 tff(23748,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB32) <=> (~((~v204(constB32)) | (~v185(constB32)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB32) <=> (~((~v185(constB32)) | (~v204(constB32))))))),
% 7.18/5.41 inference(transitivity,[status(thm)],[23747, 23745])).
% 7.18/5.41 tff(23749,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB32) <=> (~((~v204(constB32)) | (~v185(constB32)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23750,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB32) <=> (~((~v185(constB32)) | (~v204(constB32)))))),
% 7.18/5.41 inference(modus_ponens,[status(thm)],[23749, 23748])).
% 7.18/5.41 tff(23751,plain,
% 7.18/5.41 (v203(constB32) <=> (~((~v185(constB32)) | (~v204(constB32))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23750, 76])).
% 7.18/5.41 tff(23752,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23753,plain,
% 7.18/5.41 (v185(constB32) <=> (~((~v39(constB32)) | (~v9(constB32))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23752, 93])).
% 7.18/5.41 tff(23754,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB32)) <=> v1(constB32))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23755,plain,
% 7.18/5.41 ((~v39(constB32)) <=> v1(constB32)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23754, 102])).
% 7.18/5.41 tff(23756,plain,
% 7.18/5.41 ((~((~v39(constB32)) <=> v1(constB32))) | (~v39(constB32)) | (~v1(constB32))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23757,plain,
% 7.18/5.41 ((~((~v39(constB32)) <=> v1(constB32))) | (~v39(constB32))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23756, 7228])).
% 7.18/5.41 tff(23758,plain,
% 7.18/5.41 (~v39(constB32)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23757, 23755])).
% 7.18/5.41 tff(23759,plain,
% 7.18/5.41 (((~v39(constB32)) | (~v9(constB32))) | v39(constB32)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23760,plain,
% 7.18/5.41 ((~v39(constB32)) | (~v9(constB32))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23759, 23758])).
% 7.18/5.41 tff(23761,plain,
% 7.18/5.41 ((~(v185(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))) | (~v185(constB32)) | (~((~v39(constB32)) | (~v9(constB32))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23762,plain,
% 7.18/5.41 ((~(v185(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))) | (~v185(constB32))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23761, 23760])).
% 7.18/5.41 tff(23763,plain,
% 7.18/5.41 (~v185(constB32)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23762, 23753])).
% 7.18/5.41 tff(23764,plain,
% 7.18/5.41 (((~v185(constB32)) | (~v204(constB32))) | v185(constB32)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23765,plain,
% 7.18/5.41 ((~v185(constB32)) | (~v204(constB32))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23764, 23763])).
% 7.18/5.41 tff(23766,plain,
% 7.18/5.41 ((~(v203(constB32) <=> (~((~v185(constB32)) | (~v204(constB32)))))) | (~v203(constB32)) | (~((~v185(constB32)) | (~v204(constB32))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23767,plain,
% 7.18/5.41 ((~(v203(constB32) <=> (~((~v185(constB32)) | (~v204(constB32)))))) | (~v203(constB32))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23766, 23765])).
% 7.18/5.41 tff(23768,plain,
% 7.18/5.41 (~v203(constB32)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23767, 23751])).
% 7.18/5.41 tff(23769,plain,
% 7.18/5.41 (((~v183(constB32)) | (~v203(constB32))) | v203(constB32)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23770,plain,
% 7.18/5.41 ((~v183(constB32)) | (~v203(constB32))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23769, 23768])).
% 7.18/5.41 tff(23771,plain,
% 7.18/5.41 ((~(v202(constB32) <=> (~((~v183(constB32)) | (~v203(constB32)))))) | (~v202(constB32)) | (~((~v183(constB32)) | (~v203(constB32))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23772,plain,
% 7.18/5.41 (~v202(constB32)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23771, 23770, 23744])).
% 7.18/5.41 tff(23773,plain,
% 7.18/5.41 (((~v157(constB32)) | (~v202(constB32))) | v202(constB32)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23774,plain,
% 7.18/5.41 ((~v157(constB32)) | (~v202(constB32))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23773, 23772])).
% 7.18/5.41 tff(23775,plain,
% 7.18/5.41 ((~(v201(constB32) <=> (~((~v157(constB32)) | (~v202(constB32)))))) | (~v201(constB32)) | (~((~v157(constB32)) | (~v202(constB32))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23776,plain,
% 7.18/5.41 (~v201(constB32)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23775, 23774, 23742])).
% 7.18/5.41 tff(23777,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB32) <=> (~((~v159(constB32)) | (~v202(constB32)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB32) <=> (~((~v159(constB32)) | (~v202(constB32))))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23778,plain,
% 7.18/5.41 ((v205(constB32) <=> (~((~v202(constB32)) | (~v159(constB32))))) <=> (v205(constB32) <=> (~((~v159(constB32)) | (~v202(constB32)))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23779,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB32) <=> (~((~v202(constB32)) | (~v159(constB32)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB32) <=> (~((~v159(constB32)) | (~v202(constB32))))))),
% 7.18/5.41 inference(monotonicity,[status(thm)],[23778])).
% 7.18/5.41 tff(23780,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB32) <=> (~((~v202(constB32)) | (~v159(constB32)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB32) <=> (~((~v159(constB32)) | (~v202(constB32))))))),
% 7.18/5.41 inference(transitivity,[status(thm)],[23779, 23777])).
% 7.18/5.41 tff(23781,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB32) <=> (~((~v202(constB32)) | (~v159(constB32)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23782,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB32) <=> (~((~v159(constB32)) | (~v202(constB32)))))),
% 7.18/5.41 inference(modus_ponens,[status(thm)],[23781, 23780])).
% 7.18/5.41 tff(23783,plain,
% 7.18/5.41 (v205(constB32) <=> (~((~v159(constB32)) | (~v202(constB32))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23782, 138])).
% 7.18/5.41 tff(23784,plain,
% 7.18/5.41 (((~v159(constB32)) | (~v202(constB32))) | v202(constB32)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23785,plain,
% 7.18/5.41 ((~v159(constB32)) | (~v202(constB32))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23784, 23772])).
% 7.18/5.41 tff(23786,plain,
% 7.18/5.41 ((~(v205(constB32) <=> (~((~v159(constB32)) | (~v202(constB32)))))) | (~v205(constB32)) | (~((~v159(constB32)) | (~v202(constB32))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23787,plain,
% 7.18/5.41 (~v205(constB32)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23786, 23785, 23783])).
% 7.18/5.41 tff(23788,plain,
% 7.18/5.41 ((~(v201(constB32) | v205(constB32))) | v201(constB32) | v205(constB32)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23789,plain,
% 7.18/5.41 (~(v201(constB32) | v205(constB32))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23788, 23787, 23776])).
% 7.18/5.41 tff(23790,plain,
% 7.18/5.41 ((~(v200(constB32) <=> (v201(constB32) | v205(constB32)))) | (~v200(constB32)) | (v201(constB32) | v205(constB32))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23791,plain,
% 7.18/5.41 ((~(v200(constB32) <=> (v201(constB32) | v205(constB32)))) | (~v200(constB32))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23790, 23789])).
% 7.18/5.41 tff(23792,plain,
% 7.18/5.41 (~v200(constB32)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23791, 23735])).
% 7.18/5.41 tff(23793,plain,
% 7.18/5.41 ($false),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23792, 23733])).
% 7.18/5.41 tff(23794,plain,(~(constB32 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.18/5.41 tff(23795,assumption,(constB44 = VarCurr!0), introduced(assumption)).
% 7.18/5.41 tff(23796,plain,
% 7.18/5.41 (v200(constB44) <=> v200(VarCurr!0)),
% 7.18/5.41 inference(monotonicity,[status(thm)],[23795])).
% 7.18/5.41 tff(23797,plain,
% 7.18/5.41 (v200(VarCurr!0) <=> v200(constB44)),
% 7.18/5.41 inference(symmetry,[status(thm)],[23796])).
% 7.18/5.41 tff(23798,plain,
% 7.18/5.41 (v200(constB44)),
% 7.18/5.41 inference(modus_ponens,[status(thm)],[27, 23797])).
% 7.18/5.41 tff(23799,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB44) <=> (v201(constB44) | v205(constB44)))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23800,plain,
% 7.18/5.41 (v200(constB44) <=> (v201(constB44) | v205(constB44))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23799, 35])).
% 7.18/5.41 tff(23801,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB44) <=> (~((~v157(constB44)) | (~v202(constB44)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB44) <=> (~((~v157(constB44)) | (~v202(constB44))))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23802,plain,
% 7.18/5.41 ((v201(constB44) <=> (~((~v202(constB44)) | (~v157(constB44))))) <=> (v201(constB44) <=> (~((~v157(constB44)) | (~v202(constB44)))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23803,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB44) <=> (~((~v202(constB44)) | (~v157(constB44)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB44) <=> (~((~v157(constB44)) | (~v202(constB44))))))),
% 7.18/5.41 inference(monotonicity,[status(thm)],[23802])).
% 7.18/5.41 tff(23804,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB44) <=> (~((~v202(constB44)) | (~v157(constB44)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB44) <=> (~((~v157(constB44)) | (~v202(constB44))))))),
% 7.18/5.41 inference(transitivity,[status(thm)],[23803, 23801])).
% 7.18/5.41 tff(23805,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB44) <=> (~((~v202(constB44)) | (~v157(constB44)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23806,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB44) <=> (~((~v157(constB44)) | (~v202(constB44)))))),
% 7.18/5.41 inference(modus_ponens,[status(thm)],[23805, 23804])).
% 7.18/5.41 tff(23807,plain,
% 7.18/5.41 (v201(constB44) <=> (~((~v157(constB44)) | (~v202(constB44))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23806, 47])).
% 7.18/5.41 tff(23808,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB44) <=> (~((~v183(constB44)) | (~v203(constB44)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23809,plain,
% 7.18/5.41 (v202(constB44) <=> (~((~v183(constB44)) | (~v203(constB44))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23808, 64])).
% 7.18/5.41 tff(23810,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB44) <=> (~((~v185(constB44)) | (~v204(constB44)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB44) <=> (~((~v185(constB44)) | (~v204(constB44))))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23811,plain,
% 7.18/5.41 ((v203(constB44) <=> (~((~v204(constB44)) | (~v185(constB44))))) <=> (v203(constB44) <=> (~((~v185(constB44)) | (~v204(constB44)))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23812,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB44) <=> (~((~v204(constB44)) | (~v185(constB44)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB44) <=> (~((~v185(constB44)) | (~v204(constB44))))))),
% 7.18/5.41 inference(monotonicity,[status(thm)],[23811])).
% 7.18/5.41 tff(23813,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB44) <=> (~((~v204(constB44)) | (~v185(constB44)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB44) <=> (~((~v185(constB44)) | (~v204(constB44))))))),
% 7.18/5.41 inference(transitivity,[status(thm)],[23812, 23810])).
% 7.18/5.41 tff(23814,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB44) <=> (~((~v204(constB44)) | (~v185(constB44)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23815,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB44) <=> (~((~v185(constB44)) | (~v204(constB44)))))),
% 7.18/5.41 inference(modus_ponens,[status(thm)],[23814, 23813])).
% 7.18/5.41 tff(23816,plain,
% 7.18/5.41 (v203(constB44) <=> (~((~v185(constB44)) | (~v204(constB44))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23815, 76])).
% 7.18/5.41 tff(23817,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23818,plain,
% 7.18/5.41 (v185(constB44) <=> (~((~v39(constB44)) | (~v9(constB44))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23817, 93])).
% 7.18/5.41 tff(23819,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB44)) <=> v1(constB44))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23820,plain,
% 7.18/5.41 ((~v39(constB44)) <=> v1(constB44)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23819, 102])).
% 7.18/5.41 tff(23821,plain,
% 7.18/5.41 ((~((~v39(constB44)) <=> v1(constB44))) | (~v39(constB44)) | (~v1(constB44))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23822,plain,
% 7.18/5.41 ((~((~v39(constB44)) <=> v1(constB44))) | (~v39(constB44))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23821, 8175])).
% 7.18/5.41 tff(23823,plain,
% 7.18/5.41 (~v39(constB44)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23822, 23820])).
% 7.18/5.41 tff(23824,plain,
% 7.18/5.41 (((~v39(constB44)) | (~v9(constB44))) | v39(constB44)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23825,plain,
% 7.18/5.41 ((~v39(constB44)) | (~v9(constB44))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23824, 23823])).
% 7.18/5.41 tff(23826,plain,
% 7.18/5.41 ((~(v185(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))) | (~v185(constB44)) | (~((~v39(constB44)) | (~v9(constB44))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23827,plain,
% 7.18/5.41 ((~(v185(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))) | (~v185(constB44))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23826, 23825])).
% 7.18/5.41 tff(23828,plain,
% 7.18/5.41 (~v185(constB44)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23827, 23818])).
% 7.18/5.41 tff(23829,plain,
% 7.18/5.41 (((~v185(constB44)) | (~v204(constB44))) | v185(constB44)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23830,plain,
% 7.18/5.41 ((~v185(constB44)) | (~v204(constB44))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23829, 23828])).
% 7.18/5.41 tff(23831,plain,
% 7.18/5.41 ((~(v203(constB44) <=> (~((~v185(constB44)) | (~v204(constB44)))))) | (~v203(constB44)) | (~((~v185(constB44)) | (~v204(constB44))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23832,plain,
% 7.18/5.41 ((~(v203(constB44) <=> (~((~v185(constB44)) | (~v204(constB44)))))) | (~v203(constB44))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23831, 23830])).
% 7.18/5.41 tff(23833,plain,
% 7.18/5.41 (~v203(constB44)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23832, 23816])).
% 7.18/5.41 tff(23834,plain,
% 7.18/5.41 (((~v183(constB44)) | (~v203(constB44))) | v203(constB44)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23835,plain,
% 7.18/5.41 ((~v183(constB44)) | (~v203(constB44))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23834, 23833])).
% 7.18/5.41 tff(23836,plain,
% 7.18/5.41 ((~(v202(constB44) <=> (~((~v183(constB44)) | (~v203(constB44)))))) | (~v202(constB44)) | (~((~v183(constB44)) | (~v203(constB44))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23837,plain,
% 7.18/5.41 (~v202(constB44)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23836, 23835, 23809])).
% 7.18/5.41 tff(23838,plain,
% 7.18/5.41 (((~v157(constB44)) | (~v202(constB44))) | v202(constB44)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23839,plain,
% 7.18/5.41 ((~v157(constB44)) | (~v202(constB44))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23838, 23837])).
% 7.18/5.41 tff(23840,plain,
% 7.18/5.41 ((~(v201(constB44) <=> (~((~v157(constB44)) | (~v202(constB44)))))) | (~v201(constB44)) | (~((~v157(constB44)) | (~v202(constB44))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23841,plain,
% 7.18/5.41 (~v201(constB44)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23840, 23839, 23807])).
% 7.18/5.41 tff(23842,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB44) <=> (~((~v159(constB44)) | (~v202(constB44)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB44) <=> (~((~v159(constB44)) | (~v202(constB44))))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23843,plain,
% 7.18/5.41 ((v205(constB44) <=> (~((~v202(constB44)) | (~v159(constB44))))) <=> (v205(constB44) <=> (~((~v159(constB44)) | (~v202(constB44)))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23844,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB44) <=> (~((~v202(constB44)) | (~v159(constB44)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB44) <=> (~((~v159(constB44)) | (~v202(constB44))))))),
% 7.18/5.41 inference(monotonicity,[status(thm)],[23843])).
% 7.18/5.41 tff(23845,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB44) <=> (~((~v202(constB44)) | (~v159(constB44)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB44) <=> (~((~v159(constB44)) | (~v202(constB44))))))),
% 7.18/5.41 inference(transitivity,[status(thm)],[23844, 23842])).
% 7.18/5.41 tff(23846,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB44) <=> (~((~v202(constB44)) | (~v159(constB44)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23847,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB44) <=> (~((~v159(constB44)) | (~v202(constB44)))))),
% 7.18/5.41 inference(modus_ponens,[status(thm)],[23846, 23845])).
% 7.18/5.41 tff(23848,plain,
% 7.18/5.41 (v205(constB44) <=> (~((~v159(constB44)) | (~v202(constB44))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23847, 138])).
% 7.18/5.41 tff(23849,plain,
% 7.18/5.41 (((~v159(constB44)) | (~v202(constB44))) | v202(constB44)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23850,plain,
% 7.18/5.41 ((~v159(constB44)) | (~v202(constB44))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23849, 23837])).
% 7.18/5.41 tff(23851,plain,
% 7.18/5.41 ((~(v205(constB44) <=> (~((~v159(constB44)) | (~v202(constB44)))))) | (~v205(constB44)) | (~((~v159(constB44)) | (~v202(constB44))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23852,plain,
% 7.18/5.41 (~v205(constB44)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23851, 23850, 23848])).
% 7.18/5.41 tff(23853,plain,
% 7.18/5.41 ((~(v201(constB44) | v205(constB44))) | v201(constB44) | v205(constB44)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23854,plain,
% 7.18/5.41 (~(v201(constB44) | v205(constB44))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23853, 23852, 23841])).
% 7.18/5.41 tff(23855,plain,
% 7.18/5.41 ((~(v200(constB44) <=> (v201(constB44) | v205(constB44)))) | (~v200(constB44)) | (v201(constB44) | v205(constB44))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23856,plain,
% 7.18/5.41 ((~(v200(constB44) <=> (v201(constB44) | v205(constB44)))) | (~v200(constB44))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23855, 23854])).
% 7.18/5.41 tff(23857,plain,
% 7.18/5.41 (~v200(constB44)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23856, 23800])).
% 7.18/5.41 tff(23858,plain,
% 7.18/5.41 ($false),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23857, 23798])).
% 7.18/5.41 tff(23859,plain,(~(constB44 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.18/5.41 tff(23860,assumption,(constB40 = VarCurr!0), introduced(assumption)).
% 7.18/5.41 tff(23861,plain,
% 7.18/5.41 (v200(constB40) <=> v200(VarCurr!0)),
% 7.18/5.41 inference(monotonicity,[status(thm)],[23860])).
% 7.18/5.41 tff(23862,plain,
% 7.18/5.41 (v200(VarCurr!0) <=> v200(constB40)),
% 7.18/5.41 inference(symmetry,[status(thm)],[23861])).
% 7.18/5.41 tff(23863,plain,
% 7.18/5.41 (v200(constB40)),
% 7.18/5.41 inference(modus_ponens,[status(thm)],[27, 23862])).
% 7.18/5.41 tff(23864,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB40) <=> (v201(constB40) | v205(constB40)))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23865,plain,
% 7.18/5.41 (v200(constB40) <=> (v201(constB40) | v205(constB40))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23864, 35])).
% 7.18/5.41 tff(23866,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB40) <=> (~((~v157(constB40)) | (~v202(constB40)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB40) <=> (~((~v157(constB40)) | (~v202(constB40))))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23867,plain,
% 7.18/5.41 ((v201(constB40) <=> (~((~v202(constB40)) | (~v157(constB40))))) <=> (v201(constB40) <=> (~((~v157(constB40)) | (~v202(constB40)))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23868,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB40) <=> (~((~v202(constB40)) | (~v157(constB40)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB40) <=> (~((~v157(constB40)) | (~v202(constB40))))))),
% 7.18/5.41 inference(monotonicity,[status(thm)],[23867])).
% 7.18/5.41 tff(23869,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB40) <=> (~((~v202(constB40)) | (~v157(constB40)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB40) <=> (~((~v157(constB40)) | (~v202(constB40))))))),
% 7.18/5.41 inference(transitivity,[status(thm)],[23868, 23866])).
% 7.18/5.41 tff(23870,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB40) <=> (~((~v202(constB40)) | (~v157(constB40)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23871,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB40) <=> (~((~v157(constB40)) | (~v202(constB40)))))),
% 7.18/5.41 inference(modus_ponens,[status(thm)],[23870, 23869])).
% 7.18/5.41 tff(23872,plain,
% 7.18/5.41 (v201(constB40) <=> (~((~v157(constB40)) | (~v202(constB40))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23871, 47])).
% 7.18/5.41 tff(23873,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB40) <=> (~((~v183(constB40)) | (~v203(constB40)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23874,plain,
% 7.18/5.41 (v202(constB40) <=> (~((~v183(constB40)) | (~v203(constB40))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23873, 64])).
% 7.18/5.41 tff(23875,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB40) <=> (~((~v185(constB40)) | (~v204(constB40)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB40) <=> (~((~v185(constB40)) | (~v204(constB40))))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23876,plain,
% 7.18/5.41 ((v203(constB40) <=> (~((~v204(constB40)) | (~v185(constB40))))) <=> (v203(constB40) <=> (~((~v185(constB40)) | (~v204(constB40)))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23877,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB40) <=> (~((~v204(constB40)) | (~v185(constB40)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB40) <=> (~((~v185(constB40)) | (~v204(constB40))))))),
% 7.18/5.41 inference(monotonicity,[status(thm)],[23876])).
% 7.18/5.41 tff(23878,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB40) <=> (~((~v204(constB40)) | (~v185(constB40)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB40) <=> (~((~v185(constB40)) | (~v204(constB40))))))),
% 7.18/5.41 inference(transitivity,[status(thm)],[23877, 23875])).
% 7.18/5.41 tff(23879,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB40) <=> (~((~v204(constB40)) | (~v185(constB40)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23880,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB40) <=> (~((~v185(constB40)) | (~v204(constB40)))))),
% 7.18/5.41 inference(modus_ponens,[status(thm)],[23879, 23878])).
% 7.18/5.41 tff(23881,plain,
% 7.18/5.41 (v203(constB40) <=> (~((~v185(constB40)) | (~v204(constB40))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23880, 76])).
% 7.18/5.41 tff(23882,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB40) <=> (~((~v39(constB40)) | (~v9(constB40)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23883,plain,
% 7.18/5.41 (v185(constB40) <=> (~((~v39(constB40)) | (~v9(constB40))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23882, 93])).
% 7.18/5.41 tff(23884,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB40)) <=> v1(constB40))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23885,plain,
% 7.18/5.41 ((~v39(constB40)) <=> v1(constB40)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23884, 102])).
% 7.18/5.41 tff(23886,plain,
% 7.18/5.41 ((~((~v39(constB40)) <=> v1(constB40))) | (~v39(constB40)) | (~v1(constB40))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23887,plain,
% 7.18/5.41 ((~((~v39(constB40)) <=> v1(constB40))) | (~v39(constB40))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23886, 7871])).
% 7.18/5.41 tff(23888,plain,
% 7.18/5.41 (~v39(constB40)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23887, 23885])).
% 7.18/5.41 tff(23889,plain,
% 7.18/5.41 (((~v39(constB40)) | (~v9(constB40))) | v39(constB40)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23890,plain,
% 7.18/5.41 ((~v39(constB40)) | (~v9(constB40))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23889, 23888])).
% 7.18/5.41 tff(23891,plain,
% 7.18/5.41 ((~(v185(constB40) <=> (~((~v39(constB40)) | (~v9(constB40)))))) | (~v185(constB40)) | (~((~v39(constB40)) | (~v9(constB40))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23892,plain,
% 7.18/5.41 ((~(v185(constB40) <=> (~((~v39(constB40)) | (~v9(constB40)))))) | (~v185(constB40))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23891, 23890])).
% 7.18/5.41 tff(23893,plain,
% 7.18/5.41 (~v185(constB40)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23892, 23883])).
% 7.18/5.41 tff(23894,plain,
% 7.18/5.41 (((~v185(constB40)) | (~v204(constB40))) | v185(constB40)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23895,plain,
% 7.18/5.41 ((~v185(constB40)) | (~v204(constB40))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23894, 23893])).
% 7.18/5.41 tff(23896,plain,
% 7.18/5.41 ((~(v203(constB40) <=> (~((~v185(constB40)) | (~v204(constB40)))))) | (~v203(constB40)) | (~((~v185(constB40)) | (~v204(constB40))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23897,plain,
% 7.18/5.41 ((~(v203(constB40) <=> (~((~v185(constB40)) | (~v204(constB40)))))) | (~v203(constB40))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23896, 23895])).
% 7.18/5.41 tff(23898,plain,
% 7.18/5.41 (~v203(constB40)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23897, 23881])).
% 7.18/5.41 tff(23899,plain,
% 7.18/5.41 (((~v183(constB40)) | (~v203(constB40))) | v203(constB40)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23900,plain,
% 7.18/5.41 ((~v183(constB40)) | (~v203(constB40))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23899, 23898])).
% 7.18/5.41 tff(23901,plain,
% 7.18/5.41 ((~(v202(constB40) <=> (~((~v183(constB40)) | (~v203(constB40)))))) | (~v202(constB40)) | (~((~v183(constB40)) | (~v203(constB40))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23902,plain,
% 7.18/5.41 (~v202(constB40)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23901, 23900, 23874])).
% 7.18/5.41 tff(23903,plain,
% 7.18/5.41 (((~v157(constB40)) | (~v202(constB40))) | v202(constB40)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23904,plain,
% 7.18/5.41 ((~v157(constB40)) | (~v202(constB40))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23903, 23902])).
% 7.18/5.41 tff(23905,plain,
% 7.18/5.41 ((~(v201(constB40) <=> (~((~v157(constB40)) | (~v202(constB40)))))) | (~v201(constB40)) | (~((~v157(constB40)) | (~v202(constB40))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23906,plain,
% 7.18/5.41 (~v201(constB40)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23905, 23904, 23872])).
% 7.18/5.41 tff(23907,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB40) <=> (~((~v159(constB40)) | (~v202(constB40)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB40) <=> (~((~v159(constB40)) | (~v202(constB40))))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23908,plain,
% 7.18/5.41 ((v205(constB40) <=> (~((~v202(constB40)) | (~v159(constB40))))) <=> (v205(constB40) <=> (~((~v159(constB40)) | (~v202(constB40)))))),
% 7.18/5.41 inference(rewrite,[status(thm)],[])).
% 7.18/5.41 tff(23909,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB40) <=> (~((~v202(constB40)) | (~v159(constB40)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB40) <=> (~((~v159(constB40)) | (~v202(constB40))))))),
% 7.18/5.41 inference(monotonicity,[status(thm)],[23908])).
% 7.18/5.41 tff(23910,plain,
% 7.18/5.41 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB40) <=> (~((~v202(constB40)) | (~v159(constB40)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB40) <=> (~((~v159(constB40)) | (~v202(constB40))))))),
% 7.18/5.41 inference(transitivity,[status(thm)],[23909, 23907])).
% 7.18/5.41 tff(23911,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB40) <=> (~((~v202(constB40)) | (~v159(constB40)))))),
% 7.18/5.41 inference(quant_inst,[status(thm)],[])).
% 7.18/5.41 tff(23912,plain,
% 7.18/5.41 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB40) <=> (~((~v159(constB40)) | (~v202(constB40)))))),
% 7.18/5.41 inference(modus_ponens,[status(thm)],[23911, 23910])).
% 7.18/5.41 tff(23913,plain,
% 7.18/5.41 (v205(constB40) <=> (~((~v159(constB40)) | (~v202(constB40))))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23912, 138])).
% 7.18/5.41 tff(23914,plain,
% 7.18/5.41 (((~v159(constB40)) | (~v202(constB40))) | v202(constB40)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23915,plain,
% 7.18/5.41 ((~v159(constB40)) | (~v202(constB40))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23914, 23902])).
% 7.18/5.41 tff(23916,plain,
% 7.18/5.41 ((~(v205(constB40) <=> (~((~v159(constB40)) | (~v202(constB40)))))) | (~v205(constB40)) | (~((~v159(constB40)) | (~v202(constB40))))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23917,plain,
% 7.18/5.41 (~v205(constB40)),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23916, 23915, 23913])).
% 7.18/5.41 tff(23918,plain,
% 7.18/5.41 ((~(v201(constB40) | v205(constB40))) | v201(constB40) | v205(constB40)),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23919,plain,
% 7.18/5.41 (~(v201(constB40) | v205(constB40))),
% 7.18/5.41 inference(unit_resolution,[status(thm)],[23918, 23917, 23906])).
% 7.18/5.41 tff(23920,plain,
% 7.18/5.41 ((~(v200(constB40) <=> (v201(constB40) | v205(constB40)))) | (~v200(constB40)) | (v201(constB40) | v205(constB40))),
% 7.18/5.41 inference(tautology,[status(thm)],[])).
% 7.18/5.41 tff(23921,plain,
% 7.18/5.41 ((~(v200(constB40) <=> (v201(constB40) | v205(constB40)))) | (~v200(constB40))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23920, 23919])).
% 7.18/5.42 tff(23922,plain,
% 7.18/5.42 (~v200(constB40)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23921, 23865])).
% 7.18/5.42 tff(23923,plain,
% 7.18/5.42 ($false),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23922, 23863])).
% 7.18/5.42 tff(23924,plain,(~(constB40 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.18/5.42 tff(23925,assumption,(constB68 = VarCurr!0), introduced(assumption)).
% 7.18/5.42 tff(23926,plain,
% 7.18/5.42 (v200(constB68) <=> v200(VarCurr!0)),
% 7.18/5.42 inference(monotonicity,[status(thm)],[23925])).
% 7.18/5.42 tff(23927,plain,
% 7.18/5.42 (v200(VarCurr!0) <=> v200(constB68)),
% 7.18/5.42 inference(symmetry,[status(thm)],[23926])).
% 7.18/5.42 tff(23928,plain,
% 7.18/5.42 (v200(constB68)),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[27, 23927])).
% 7.18/5.42 tff(23929,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB68) <=> (v201(constB68) | v205(constB68)))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(23930,plain,
% 7.18/5.42 (v200(constB68) <=> (v201(constB68) | v205(constB68))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23929, 35])).
% 7.18/5.42 tff(23931,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB68) <=> (~((~v157(constB68)) | (~v202(constB68)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB68) <=> (~((~v157(constB68)) | (~v202(constB68))))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(23932,plain,
% 7.18/5.42 ((v201(constB68) <=> (~((~v202(constB68)) | (~v157(constB68))))) <=> (v201(constB68) <=> (~((~v157(constB68)) | (~v202(constB68)))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(23933,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB68) <=> (~((~v202(constB68)) | (~v157(constB68)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB68) <=> (~((~v157(constB68)) | (~v202(constB68))))))),
% 7.18/5.42 inference(monotonicity,[status(thm)],[23932])).
% 7.18/5.42 tff(23934,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB68) <=> (~((~v202(constB68)) | (~v157(constB68)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB68) <=> (~((~v157(constB68)) | (~v202(constB68))))))),
% 7.18/5.42 inference(transitivity,[status(thm)],[23933, 23931])).
% 7.18/5.42 tff(23935,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB68) <=> (~((~v202(constB68)) | (~v157(constB68)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(23936,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB68) <=> (~((~v157(constB68)) | (~v202(constB68)))))),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[23935, 23934])).
% 7.18/5.42 tff(23937,plain,
% 7.18/5.42 (v201(constB68) <=> (~((~v157(constB68)) | (~v202(constB68))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23936, 47])).
% 7.18/5.42 tff(23938,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB68) <=> (~((~v183(constB68)) | (~v203(constB68)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(23939,plain,
% 7.18/5.42 (v202(constB68) <=> (~((~v183(constB68)) | (~v203(constB68))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23938, 64])).
% 7.18/5.42 tff(23940,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB68) <=> (~((~v185(constB68)) | (~v204(constB68)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB68) <=> (~((~v185(constB68)) | (~v204(constB68))))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(23941,plain,
% 7.18/5.42 ((v203(constB68) <=> (~((~v204(constB68)) | (~v185(constB68))))) <=> (v203(constB68) <=> (~((~v185(constB68)) | (~v204(constB68)))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(23942,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB68) <=> (~((~v204(constB68)) | (~v185(constB68)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB68) <=> (~((~v185(constB68)) | (~v204(constB68))))))),
% 7.18/5.42 inference(monotonicity,[status(thm)],[23941])).
% 7.18/5.42 tff(23943,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB68) <=> (~((~v204(constB68)) | (~v185(constB68)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB68) <=> (~((~v185(constB68)) | (~v204(constB68))))))),
% 7.18/5.42 inference(transitivity,[status(thm)],[23942, 23940])).
% 7.18/5.42 tff(23944,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB68) <=> (~((~v204(constB68)) | (~v185(constB68)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(23945,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB68) <=> (~((~v185(constB68)) | (~v204(constB68)))))),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[23944, 23943])).
% 7.18/5.42 tff(23946,plain,
% 7.18/5.42 (v203(constB68) <=> (~((~v185(constB68)) | (~v204(constB68))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23945, 76])).
% 7.18/5.42 tff(23947,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(23948,plain,
% 7.18/5.42 (v185(constB68) <=> (~((~v39(constB68)) | (~v9(constB68))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23947, 93])).
% 7.18/5.42 tff(23949,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB68)) <=> v1(constB68))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(23950,plain,
% 7.18/5.42 ((~v39(constB68)) <=> v1(constB68)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23949, 102])).
% 7.18/5.42 tff(23951,plain,
% 7.18/5.42 ((~((~v39(constB68)) <=> v1(constB68))) | (~v39(constB68)) | (~v1(constB68))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(23952,plain,
% 7.18/5.42 ((~((~v39(constB68)) <=> v1(constB68))) | (~v39(constB68))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23951, 10110])).
% 7.18/5.42 tff(23953,plain,
% 7.18/5.42 (~v39(constB68)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23952, 23950])).
% 7.18/5.42 tff(23954,plain,
% 7.18/5.42 (((~v39(constB68)) | (~v9(constB68))) | v39(constB68)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(23955,plain,
% 7.18/5.42 ((~v39(constB68)) | (~v9(constB68))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23954, 23953])).
% 7.18/5.42 tff(23956,plain,
% 7.18/5.42 ((~(v185(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))) | (~v185(constB68)) | (~((~v39(constB68)) | (~v9(constB68))))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(23957,plain,
% 7.18/5.42 ((~(v185(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))) | (~v185(constB68))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23956, 23955])).
% 7.18/5.42 tff(23958,plain,
% 7.18/5.42 (~v185(constB68)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23957, 23948])).
% 7.18/5.42 tff(23959,plain,
% 7.18/5.42 (((~v185(constB68)) | (~v204(constB68))) | v185(constB68)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(23960,plain,
% 7.18/5.42 ((~v185(constB68)) | (~v204(constB68))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23959, 23958])).
% 7.18/5.42 tff(23961,plain,
% 7.18/5.42 ((~(v203(constB68) <=> (~((~v185(constB68)) | (~v204(constB68)))))) | (~v203(constB68)) | (~((~v185(constB68)) | (~v204(constB68))))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(23962,plain,
% 7.18/5.42 ((~(v203(constB68) <=> (~((~v185(constB68)) | (~v204(constB68)))))) | (~v203(constB68))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23961, 23960])).
% 7.18/5.42 tff(23963,plain,
% 7.18/5.42 (~v203(constB68)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23962, 23946])).
% 7.18/5.42 tff(23964,plain,
% 7.18/5.42 (((~v183(constB68)) | (~v203(constB68))) | v203(constB68)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(23965,plain,
% 7.18/5.42 ((~v183(constB68)) | (~v203(constB68))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23964, 23963])).
% 7.18/5.42 tff(23966,plain,
% 7.18/5.42 ((~(v202(constB68) <=> (~((~v183(constB68)) | (~v203(constB68)))))) | (~v202(constB68)) | (~((~v183(constB68)) | (~v203(constB68))))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(23967,plain,
% 7.18/5.42 (~v202(constB68)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23966, 23965, 23939])).
% 7.18/5.42 tff(23968,plain,
% 7.18/5.42 (((~v157(constB68)) | (~v202(constB68))) | v202(constB68)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(23969,plain,
% 7.18/5.42 ((~v157(constB68)) | (~v202(constB68))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23968, 23967])).
% 7.18/5.42 tff(23970,plain,
% 7.18/5.42 ((~(v201(constB68) <=> (~((~v157(constB68)) | (~v202(constB68)))))) | (~v201(constB68)) | (~((~v157(constB68)) | (~v202(constB68))))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(23971,plain,
% 7.18/5.42 (~v201(constB68)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23970, 23969, 23937])).
% 7.18/5.42 tff(23972,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB68) <=> (~((~v159(constB68)) | (~v202(constB68)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB68) <=> (~((~v159(constB68)) | (~v202(constB68))))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(23973,plain,
% 7.18/5.42 ((v205(constB68) <=> (~((~v202(constB68)) | (~v159(constB68))))) <=> (v205(constB68) <=> (~((~v159(constB68)) | (~v202(constB68)))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(23974,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB68) <=> (~((~v202(constB68)) | (~v159(constB68)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB68) <=> (~((~v159(constB68)) | (~v202(constB68))))))),
% 7.18/5.42 inference(monotonicity,[status(thm)],[23973])).
% 7.18/5.42 tff(23975,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB68) <=> (~((~v202(constB68)) | (~v159(constB68)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB68) <=> (~((~v159(constB68)) | (~v202(constB68))))))),
% 7.18/5.42 inference(transitivity,[status(thm)],[23974, 23972])).
% 7.18/5.42 tff(23976,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB68) <=> (~((~v202(constB68)) | (~v159(constB68)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(23977,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB68) <=> (~((~v159(constB68)) | (~v202(constB68)))))),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[23976, 23975])).
% 7.18/5.42 tff(23978,plain,
% 7.18/5.42 (v205(constB68) <=> (~((~v159(constB68)) | (~v202(constB68))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23977, 138])).
% 7.18/5.42 tff(23979,plain,
% 7.18/5.42 (((~v159(constB68)) | (~v202(constB68))) | v202(constB68)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(23980,plain,
% 7.18/5.42 ((~v159(constB68)) | (~v202(constB68))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23979, 23967])).
% 7.18/5.42 tff(23981,plain,
% 7.18/5.42 ((~(v205(constB68) <=> (~((~v159(constB68)) | (~v202(constB68)))))) | (~v205(constB68)) | (~((~v159(constB68)) | (~v202(constB68))))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(23982,plain,
% 7.18/5.42 (~v205(constB68)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23981, 23980, 23978])).
% 7.18/5.42 tff(23983,plain,
% 7.18/5.42 ((~(v201(constB68) | v205(constB68))) | v201(constB68) | v205(constB68)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(23984,plain,
% 7.18/5.42 (~(v201(constB68) | v205(constB68))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23983, 23982, 23971])).
% 7.18/5.42 tff(23985,plain,
% 7.18/5.42 ((~(v200(constB68) <=> (v201(constB68) | v205(constB68)))) | (~v200(constB68)) | (v201(constB68) | v205(constB68))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(23986,plain,
% 7.18/5.42 ((~(v200(constB68) <=> (v201(constB68) | v205(constB68)))) | (~v200(constB68))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23985, 23984])).
% 7.18/5.42 tff(23987,plain,
% 7.18/5.42 (~v200(constB68)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23986, 23930])).
% 7.18/5.42 tff(23988,plain,
% 7.18/5.42 ($false),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23987, 23928])).
% 7.18/5.42 tff(23989,plain,(~(constB68 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.18/5.42 tff(23990,assumption,(constB60 = VarCurr!0), introduced(assumption)).
% 7.18/5.42 tff(23991,plain,
% 7.18/5.42 (v200(constB60) <=> v200(VarCurr!0)),
% 7.18/5.42 inference(monotonicity,[status(thm)],[23990])).
% 7.18/5.42 tff(23992,plain,
% 7.18/5.42 (v200(VarCurr!0) <=> v200(constB60)),
% 7.18/5.42 inference(symmetry,[status(thm)],[23991])).
% 7.18/5.42 tff(23993,plain,
% 7.18/5.42 (v200(constB60)),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[27, 23992])).
% 7.18/5.42 tff(23994,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB60) <=> (v201(constB60) | v205(constB60)))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(23995,plain,
% 7.18/5.42 (v200(constB60) <=> (v201(constB60) | v205(constB60))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[23994, 35])).
% 7.18/5.42 tff(23996,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB60) <=> (~((~v157(constB60)) | (~v202(constB60)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB60) <=> (~((~v157(constB60)) | (~v202(constB60))))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(23997,plain,
% 7.18/5.42 ((v201(constB60) <=> (~((~v202(constB60)) | (~v157(constB60))))) <=> (v201(constB60) <=> (~((~v157(constB60)) | (~v202(constB60)))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(23998,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB60) <=> (~((~v202(constB60)) | (~v157(constB60)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB60) <=> (~((~v157(constB60)) | (~v202(constB60))))))),
% 7.18/5.42 inference(monotonicity,[status(thm)],[23997])).
% 7.18/5.42 tff(23999,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB60) <=> (~((~v202(constB60)) | (~v157(constB60)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB60) <=> (~((~v157(constB60)) | (~v202(constB60))))))),
% 7.18/5.42 inference(transitivity,[status(thm)],[23998, 23996])).
% 7.18/5.42 tff(24000,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB60) <=> (~((~v202(constB60)) | (~v157(constB60)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24001,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB60) <=> (~((~v157(constB60)) | (~v202(constB60)))))),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[24000, 23999])).
% 7.18/5.42 tff(24002,plain,
% 7.18/5.42 (v201(constB60) <=> (~((~v157(constB60)) | (~v202(constB60))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24001, 47])).
% 7.18/5.42 tff(24003,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB60) <=> (~((~v183(constB60)) | (~v203(constB60)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24004,plain,
% 7.18/5.42 (v202(constB60) <=> (~((~v183(constB60)) | (~v203(constB60))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24003, 64])).
% 7.18/5.42 tff(24005,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB60) <=> (~((~v185(constB60)) | (~v204(constB60)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB60) <=> (~((~v185(constB60)) | (~v204(constB60))))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24006,plain,
% 7.18/5.42 ((v203(constB60) <=> (~((~v204(constB60)) | (~v185(constB60))))) <=> (v203(constB60) <=> (~((~v185(constB60)) | (~v204(constB60)))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24007,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB60) <=> (~((~v204(constB60)) | (~v185(constB60)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB60) <=> (~((~v185(constB60)) | (~v204(constB60))))))),
% 7.18/5.42 inference(monotonicity,[status(thm)],[24006])).
% 7.18/5.42 tff(24008,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB60) <=> (~((~v204(constB60)) | (~v185(constB60)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB60) <=> (~((~v185(constB60)) | (~v204(constB60))))))),
% 7.18/5.42 inference(transitivity,[status(thm)],[24007, 24005])).
% 7.18/5.42 tff(24009,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB60) <=> (~((~v204(constB60)) | (~v185(constB60)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24010,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB60) <=> (~((~v185(constB60)) | (~v204(constB60)))))),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[24009, 24008])).
% 7.18/5.42 tff(24011,plain,
% 7.18/5.42 (v203(constB60) <=> (~((~v185(constB60)) | (~v204(constB60))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24010, 76])).
% 7.18/5.42 tff(24012,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB60) <=> (~((~v39(constB60)) | (~v9(constB60)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24013,plain,
% 7.18/5.42 (v185(constB60) <=> (~((~v39(constB60)) | (~v9(constB60))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24012, 93])).
% 7.18/5.42 tff(24014,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB60)) <=> v1(constB60))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24015,plain,
% 7.18/5.42 ((~v39(constB60)) <=> v1(constB60)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24014, 102])).
% 7.18/5.42 tff(24016,plain,
% 7.18/5.42 ((~((~v39(constB60)) <=> v1(constB60))) | (~v39(constB60)) | (~v1(constB60))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24017,plain,
% 7.18/5.42 ((~((~v39(constB60)) <=> v1(constB60))) | (~v39(constB60))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24016, 9470])).
% 7.18/5.42 tff(24018,plain,
% 7.18/5.42 (~v39(constB60)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24017, 24015])).
% 7.18/5.42 tff(24019,plain,
% 7.18/5.42 (((~v39(constB60)) | (~v9(constB60))) | v39(constB60)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24020,plain,
% 7.18/5.42 ((~v39(constB60)) | (~v9(constB60))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24019, 24018])).
% 7.18/5.42 tff(24021,plain,
% 7.18/5.42 ((~(v185(constB60) <=> (~((~v39(constB60)) | (~v9(constB60)))))) | (~v185(constB60)) | (~((~v39(constB60)) | (~v9(constB60))))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24022,plain,
% 7.18/5.42 ((~(v185(constB60) <=> (~((~v39(constB60)) | (~v9(constB60)))))) | (~v185(constB60))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24021, 24020])).
% 7.18/5.42 tff(24023,plain,
% 7.18/5.42 (~v185(constB60)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24022, 24013])).
% 7.18/5.42 tff(24024,plain,
% 7.18/5.42 (((~v185(constB60)) | (~v204(constB60))) | v185(constB60)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24025,plain,
% 7.18/5.42 ((~v185(constB60)) | (~v204(constB60))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24024, 24023])).
% 7.18/5.42 tff(24026,plain,
% 7.18/5.42 ((~(v203(constB60) <=> (~((~v185(constB60)) | (~v204(constB60)))))) | (~v203(constB60)) | (~((~v185(constB60)) | (~v204(constB60))))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24027,plain,
% 7.18/5.42 ((~(v203(constB60) <=> (~((~v185(constB60)) | (~v204(constB60)))))) | (~v203(constB60))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24026, 24025])).
% 7.18/5.42 tff(24028,plain,
% 7.18/5.42 (~v203(constB60)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24027, 24011])).
% 7.18/5.42 tff(24029,plain,
% 7.18/5.42 (((~v183(constB60)) | (~v203(constB60))) | v203(constB60)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24030,plain,
% 7.18/5.42 ((~v183(constB60)) | (~v203(constB60))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24029, 24028])).
% 7.18/5.42 tff(24031,plain,
% 7.18/5.42 ((~(v202(constB60) <=> (~((~v183(constB60)) | (~v203(constB60)))))) | (~v202(constB60)) | (~((~v183(constB60)) | (~v203(constB60))))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24032,plain,
% 7.18/5.42 (~v202(constB60)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24031, 24030, 24004])).
% 7.18/5.42 tff(24033,plain,
% 7.18/5.42 (((~v157(constB60)) | (~v202(constB60))) | v202(constB60)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24034,plain,
% 7.18/5.42 ((~v157(constB60)) | (~v202(constB60))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24033, 24032])).
% 7.18/5.42 tff(24035,plain,
% 7.18/5.42 ((~(v201(constB60) <=> (~((~v157(constB60)) | (~v202(constB60)))))) | (~v201(constB60)) | (~((~v157(constB60)) | (~v202(constB60))))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24036,plain,
% 7.18/5.42 (~v201(constB60)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24035, 24034, 24002])).
% 7.18/5.42 tff(24037,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB60) <=> (~((~v159(constB60)) | (~v202(constB60)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB60) <=> (~((~v159(constB60)) | (~v202(constB60))))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24038,plain,
% 7.18/5.42 ((v205(constB60) <=> (~((~v202(constB60)) | (~v159(constB60))))) <=> (v205(constB60) <=> (~((~v159(constB60)) | (~v202(constB60)))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24039,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB60) <=> (~((~v202(constB60)) | (~v159(constB60)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB60) <=> (~((~v159(constB60)) | (~v202(constB60))))))),
% 7.18/5.42 inference(monotonicity,[status(thm)],[24038])).
% 7.18/5.42 tff(24040,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB60) <=> (~((~v202(constB60)) | (~v159(constB60)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB60) <=> (~((~v159(constB60)) | (~v202(constB60))))))),
% 7.18/5.42 inference(transitivity,[status(thm)],[24039, 24037])).
% 7.18/5.42 tff(24041,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB60) <=> (~((~v202(constB60)) | (~v159(constB60)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24042,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB60) <=> (~((~v159(constB60)) | (~v202(constB60)))))),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[24041, 24040])).
% 7.18/5.42 tff(24043,plain,
% 7.18/5.42 (v205(constB60) <=> (~((~v159(constB60)) | (~v202(constB60))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24042, 138])).
% 7.18/5.42 tff(24044,plain,
% 7.18/5.42 (((~v159(constB60)) | (~v202(constB60))) | v202(constB60)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24045,plain,
% 7.18/5.42 ((~v159(constB60)) | (~v202(constB60))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24044, 24032])).
% 7.18/5.42 tff(24046,plain,
% 7.18/5.42 ((~(v205(constB60) <=> (~((~v159(constB60)) | (~v202(constB60)))))) | (~v205(constB60)) | (~((~v159(constB60)) | (~v202(constB60))))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24047,plain,
% 7.18/5.42 (~v205(constB60)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24046, 24045, 24043])).
% 7.18/5.42 tff(24048,plain,
% 7.18/5.42 ((~(v201(constB60) | v205(constB60))) | v201(constB60) | v205(constB60)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24049,plain,
% 7.18/5.42 (~(v201(constB60) | v205(constB60))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24048, 24047, 24036])).
% 7.18/5.42 tff(24050,plain,
% 7.18/5.42 ((~(v200(constB60) <=> (v201(constB60) | v205(constB60)))) | (~v200(constB60)) | (v201(constB60) | v205(constB60))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24051,plain,
% 7.18/5.42 ((~(v200(constB60) <=> (v201(constB60) | v205(constB60)))) | (~v200(constB60))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24050, 24049])).
% 7.18/5.42 tff(24052,plain,
% 7.18/5.42 (~v200(constB60)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24051, 23995])).
% 7.18/5.42 tff(24053,plain,
% 7.18/5.42 ($false),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24052, 23993])).
% 7.18/5.42 tff(24054,plain,(~(constB60 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.18/5.42 tff(24055,assumption,(constB141 = VarCurr!0), introduced(assumption)).
% 7.18/5.42 tff(24056,plain,
% 7.18/5.42 (v200(constB141) <=> v200(VarCurr!0)),
% 7.18/5.42 inference(monotonicity,[status(thm)],[24055])).
% 7.18/5.42 tff(24057,plain,
% 7.18/5.42 (v200(VarCurr!0) <=> v200(constB141)),
% 7.18/5.42 inference(symmetry,[status(thm)],[24056])).
% 7.18/5.42 tff(24058,plain,
% 7.18/5.42 (v200(constB141)),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[27, 24057])).
% 7.18/5.42 tff(24059,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB141) <=> (v201(constB141) | v205(constB141)))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24060,plain,
% 7.18/5.42 (v200(constB141) <=> (v201(constB141) | v205(constB141))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24059, 35])).
% 7.18/5.42 tff(24061,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB141) <=> (~((~v157(constB141)) | (~v202(constB141)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB141) <=> (~((~v157(constB141)) | (~v202(constB141))))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24062,plain,
% 7.18/5.42 ((v201(constB141) <=> (~((~v202(constB141)) | (~v157(constB141))))) <=> (v201(constB141) <=> (~((~v157(constB141)) | (~v202(constB141)))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24063,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB141) <=> (~((~v202(constB141)) | (~v157(constB141)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB141) <=> (~((~v157(constB141)) | (~v202(constB141))))))),
% 7.18/5.42 inference(monotonicity,[status(thm)],[24062])).
% 7.18/5.42 tff(24064,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB141) <=> (~((~v202(constB141)) | (~v157(constB141)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB141) <=> (~((~v157(constB141)) | (~v202(constB141))))))),
% 7.18/5.42 inference(transitivity,[status(thm)],[24063, 24061])).
% 7.18/5.42 tff(24065,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB141) <=> (~((~v202(constB141)) | (~v157(constB141)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24066,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB141) <=> (~((~v157(constB141)) | (~v202(constB141)))))),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[24065, 24064])).
% 7.18/5.42 tff(24067,plain,
% 7.18/5.42 (v201(constB141) <=> (~((~v157(constB141)) | (~v202(constB141))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24066, 47])).
% 7.18/5.42 tff(24068,plain,
% 7.18/5.42 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB141) <=> v192(constB141))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24069,plain,
% 7.18/5.42 (v157(constB141) <=> v192(constB141)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24068, 15407])).
% 7.18/5.42 tff(24070,plain,
% 7.18/5.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB140, constB141)) | (v192(constB141) <=> v190(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB140, constB141)) | (v192(constB141) <=> v190(constB140)))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24071,plain,
% 7.18/5.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB140, constB141)) | (v192(constB141) <=> v190(constB140)))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24072,plain,
% 7.18/5.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB140, constB141)) | (v192(constB141) <=> v190(constB140))),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[24071, 24070])).
% 7.18/5.42 tff(24073,plain,
% 7.18/5.42 (v192(constB141) <=> v190(constB140)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24072, 18202, 15419])).
% 7.18/5.42 tff(24074,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB140) <=> (v193(constB140) | v196(constB140)))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24075,plain,
% 7.18/5.42 (v190(constB140) <=> (v193(constB140) | v196(constB140))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24074, 15430])).
% 7.18/5.42 tff(24076,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB140) <=> (~((~v157(constB140)) | (~v194(constB140)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB140) <=> (~((~v157(constB140)) | (~v194(constB140))))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24077,plain,
% 7.18/5.42 ((v193(constB140) <=> (~((~v194(constB140)) | (~v157(constB140))))) <=> (v193(constB140) <=> (~((~v157(constB140)) | (~v194(constB140)))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24078,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB140) <=> (~((~v194(constB140)) | (~v157(constB140)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB140) <=> (~((~v157(constB140)) | (~v194(constB140))))))),
% 7.18/5.42 inference(monotonicity,[status(thm)],[24077])).
% 7.18/5.42 tff(24079,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB140) <=> (~((~v194(constB140)) | (~v157(constB140)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB140) <=> (~((~v157(constB140)) | (~v194(constB140))))))),
% 7.18/5.42 inference(transitivity,[status(thm)],[24078, 24076])).
% 7.18/5.42 tff(24080,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB140) <=> (~((~v194(constB140)) | (~v157(constB140)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24081,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB140) <=> (~((~v157(constB140)) | (~v194(constB140)))))),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[24080, 24079])).
% 7.18/5.42 tff(24082,plain,
% 7.18/5.42 (v193(constB140) <=> (~((~v157(constB140)) | (~v194(constB140))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24081, 15442])).
% 7.18/5.42 tff(24083,plain,
% 7.18/5.42 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB140) <=> v192(constB140))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24084,plain,
% 7.18/5.42 (v157(constB140) <=> v192(constB140)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24083, 15407])).
% 7.18/5.42 tff(24085,plain,
% 7.18/5.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB139, constB140)) | (v192(constB140) <=> v190(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB139, constB140)) | (v192(constB140) <=> v190(constB139)))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24086,plain,
% 7.18/5.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB139, constB140)) | (v192(constB140) <=> v190(constB139)))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24087,plain,
% 7.18/5.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB139, constB140)) | (v192(constB140) <=> v190(constB139))),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[24086, 24085])).
% 7.18/5.42 tff(24088,plain,
% 7.18/5.42 (v192(constB140) <=> v190(constB139)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24087, 18238, 15419])).
% 7.18/5.42 tff(24089,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB139) <=> (v193(constB139) | v196(constB139)))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24090,plain,
% 7.18/5.42 (v190(constB139) <=> (v193(constB139) | v196(constB139))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24089, 15430])).
% 7.18/5.42 tff(24091,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB139) <=> (~((~v159(constB139)) | (~v194(constB139)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB139) <=> (~((~v159(constB139)) | (~v194(constB139))))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24092,plain,
% 7.18/5.42 ((v196(constB139) <=> (~((~v194(constB139)) | (~v159(constB139))))) <=> (v196(constB139) <=> (~((~v159(constB139)) | (~v194(constB139)))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24093,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB139) <=> (~((~v194(constB139)) | (~v159(constB139)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB139) <=> (~((~v159(constB139)) | (~v194(constB139))))))),
% 7.18/5.42 inference(monotonicity,[status(thm)],[24092])).
% 7.18/5.42 tff(24094,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB139) <=> (~((~v194(constB139)) | (~v159(constB139)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB139) <=> (~((~v159(constB139)) | (~v194(constB139))))))),
% 7.18/5.42 inference(transitivity,[status(thm)],[24093, 24091])).
% 7.18/5.42 tff(24095,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB139) <=> (~((~v194(constB139)) | (~v159(constB139)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24096,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB139) <=> (~((~v159(constB139)) | (~v194(constB139)))))),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[24095, 24094])).
% 7.18/5.42 tff(24097,plain,
% 7.18/5.42 (v196(constB139) <=> (~((~v159(constB139)) | (~v194(constB139))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24096, 15467])).
% 7.18/5.42 tff(24098,plain,
% 7.18/5.42 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB139) <=> v182(constB139))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24099,plain,
% 7.18/5.42 (v159(constB139) <=> v182(constB139)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24098, 15113])).
% 7.18/5.42 tff(24100,plain,
% 7.18/5.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB138, constB139)) | (v182(constB139) <=> v180(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB138, constB139)) | (v182(constB139) <=> v180(constB138)))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24101,plain,
% 7.18/5.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB138, constB139)) | (v182(constB139) <=> v180(constB138)))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24102,plain,
% 7.18/5.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB138, constB139)) | (v182(constB139) <=> v180(constB138))),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[24101, 24100])).
% 7.18/5.42 tff(24103,plain,
% 7.18/5.42 (v182(constB139) <=> v180(constB138)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24102, 18268, 15125])).
% 7.18/5.42 tff(24104,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB138) <=> (~((~v183(constB138)) | (~v184(constB138)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24105,plain,
% 7.18/5.42 (v180(constB138) <=> (~((~v183(constB138)) | (~v184(constB138))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24104, 15139])).
% 7.18/5.42 tff(24106,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB138) <=> (~((~v185(constB138)) | (~v161(constB138)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24107,plain,
% 7.18/5.42 (v184(constB138) <=> (~((~v185(constB138)) | (~v161(constB138))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24106, 15151])).
% 7.18/5.42 tff(24108,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24109,plain,
% 7.18/5.42 (v185(constB138) <=> (~((~v39(constB138)) | (~v9(constB138))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24108, 93])).
% 7.18/5.42 tff(24110,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB138)) <=> v1(constB138))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24111,plain,
% 7.18/5.42 ((~v39(constB138)) <=> v1(constB138)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24110, 102])).
% 7.18/5.42 tff(24112,plain,
% 7.18/5.42 ((~((~v39(constB138)) <=> v1(constB138))) | (~v39(constB138)) | (~v1(constB138))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24113,plain,
% 7.18/5.42 ((~((~v39(constB138)) <=> v1(constB138))) | (~v39(constB138))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24112, 19267])).
% 7.18/5.42 tff(24114,plain,
% 7.18/5.42 (~v39(constB138)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24113, 24111])).
% 7.18/5.42 tff(24115,plain,
% 7.18/5.42 (((~v39(constB138)) | (~v9(constB138))) | v39(constB138)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24116,plain,
% 7.18/5.42 ((~v39(constB138)) | (~v9(constB138))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24115, 24114])).
% 7.18/5.42 tff(24117,plain,
% 7.18/5.42 ((~(v185(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))) | (~v185(constB138)) | (~((~v39(constB138)) | (~v9(constB138))))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24118,plain,
% 7.18/5.42 ((~(v185(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))) | (~v185(constB138))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24117, 24116])).
% 7.18/5.42 tff(24119,plain,
% 7.18/5.42 (~v185(constB138)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24118, 24109])).
% 7.18/5.42 tff(24120,plain,
% 7.18/5.42 (((~v185(constB138)) | (~v161(constB138))) | v185(constB138)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24121,plain,
% 7.18/5.42 ((~v185(constB138)) | (~v161(constB138))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24120, 24119])).
% 7.18/5.42 tff(24122,plain,
% 7.18/5.42 ((~(v184(constB138) <=> (~((~v185(constB138)) | (~v161(constB138)))))) | (~v184(constB138)) | (~((~v185(constB138)) | (~v161(constB138))))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24123,plain,
% 7.18/5.42 ((~(v184(constB138) <=> (~((~v185(constB138)) | (~v161(constB138)))))) | (~v184(constB138))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24122, 24121])).
% 7.18/5.42 tff(24124,plain,
% 7.18/5.42 (~v184(constB138)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24123, 24107])).
% 7.18/5.42 tff(24125,plain,
% 7.18/5.42 (((~v183(constB138)) | (~v184(constB138))) | v184(constB138)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24126,plain,
% 7.18/5.42 ((~v183(constB138)) | (~v184(constB138))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24125, 24124])).
% 7.18/5.42 tff(24127,plain,
% 7.18/5.42 ((~(v180(constB138) <=> (~((~v183(constB138)) | (~v184(constB138)))))) | (~v180(constB138)) | (~((~v183(constB138)) | (~v184(constB138))))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24128,plain,
% 7.18/5.42 (~v180(constB138)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24127, 24126, 24105])).
% 7.18/5.42 tff(24129,plain,
% 7.18/5.42 ((~(v182(constB139) <=> v180(constB138))) | (~v182(constB139)) | v180(constB138)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24130,plain,
% 7.18/5.42 (~v182(constB139)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24129, 24128, 24103])).
% 7.18/5.42 tff(24131,plain,
% 7.18/5.42 ((~(v159(constB139) <=> v182(constB139))) | (~v159(constB139)) | v182(constB139)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24132,plain,
% 7.18/5.42 (~v159(constB139)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24131, 24130, 24099])).
% 7.18/5.42 tff(24133,plain,
% 7.18/5.42 (((~v159(constB139)) | (~v194(constB139))) | v159(constB139)),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24134,plain,
% 7.18/5.42 ((~v159(constB139)) | (~v194(constB139))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24133, 24132])).
% 7.18/5.42 tff(24135,plain,
% 7.18/5.42 ((~(v196(constB139) <=> (~((~v159(constB139)) | (~v194(constB139)))))) | (~v196(constB139)) | (~((~v159(constB139)) | (~v194(constB139))))),
% 7.18/5.42 inference(tautology,[status(thm)],[])).
% 7.18/5.42 tff(24136,plain,
% 7.18/5.42 (~v196(constB139)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24135, 24134, 24097])).
% 7.18/5.42 tff(24137,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB139) <=> (~((~v157(constB139)) | (~v194(constB139)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB139) <=> (~((~v157(constB139)) | (~v194(constB139))))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24138,plain,
% 7.18/5.42 ((v193(constB139) <=> (~((~v194(constB139)) | (~v157(constB139))))) <=> (v193(constB139) <=> (~((~v157(constB139)) | (~v194(constB139)))))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24139,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB139) <=> (~((~v194(constB139)) | (~v157(constB139)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB139) <=> (~((~v157(constB139)) | (~v194(constB139))))))),
% 7.18/5.42 inference(monotonicity,[status(thm)],[24138])).
% 7.18/5.42 tff(24140,plain,
% 7.18/5.42 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB139) <=> (~((~v194(constB139)) | (~v157(constB139)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB139) <=> (~((~v157(constB139)) | (~v194(constB139))))))),
% 7.18/5.42 inference(transitivity,[status(thm)],[24139, 24137])).
% 7.18/5.42 tff(24141,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB139) <=> (~((~v194(constB139)) | (~v157(constB139)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24142,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB139) <=> (~((~v157(constB139)) | (~v194(constB139)))))),
% 7.18/5.42 inference(modus_ponens,[status(thm)],[24141, 24140])).
% 7.18/5.42 tff(24143,plain,
% 7.18/5.42 (v193(constB139) <=> (~((~v157(constB139)) | (~v194(constB139))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24142, 15442])).
% 7.18/5.42 tff(24144,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB139)) <=> v195(constB139))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24145,plain,
% 7.18/5.42 ((~v194(constB139)) <=> v195(constB139)),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24144, 15527])).
% 7.18/5.42 tff(24146,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB139) <=> (v185(constB139) | v26(constB139)))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24147,plain,
% 7.18/5.42 (v195(constB139) <=> (v185(constB139) | v26(constB139))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24146, 15536])).
% 7.18/5.42 tff(24148,plain,
% 7.18/5.42 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB139) <=> (~((~v39(constB139)) | (~v9(constB139)))))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24149,plain,
% 7.18/5.42 (v185(constB139) <=> (~((~v39(constB139)) | (~v9(constB139))))),
% 7.18/5.42 inference(unit_resolution,[status(thm)],[24148, 93])).
% 7.18/5.42 tff(24150,plain,
% 7.18/5.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB139, constB140)) | (v13(constB140) <=> v9(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB139, constB140)) | (v13(constB140) <=> v9(constB139)))),
% 7.18/5.42 inference(rewrite,[status(thm)],[])).
% 7.18/5.42 tff(24151,plain,
% 7.18/5.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB139, constB140)) | (v13(constB140) <=> v9(constB139)))),
% 7.18/5.42 inference(quant_inst,[status(thm)],[])).
% 7.18/5.42 tff(24152,plain,
% 7.18/5.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB139, constB140)) | (v13(constB140) <=> v9(constB139))),
% 7.18/5.43 inference(modus_ponens,[status(thm)],[24151, 24150])).
% 7.18/5.43 tff(24153,plain,
% 7.18/5.43 (v13(constB140) <=> v9(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24152, 18238, 15550])).
% 7.18/5.43 tff(24154,plain,
% 7.18/5.43 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB140) <=> v13(constB140))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24155,plain,
% 7.18/5.43 (v6(constB140) <=> v13(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24154, 15564])).
% 7.18/5.43 tff(24156,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB140)) <=> v6(constB140))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24157,plain,
% 7.18/5.43 ((~v21(constB140)) <=> v6(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24156, 15573])).
% 7.18/5.43 tff(24158,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB140) <=> (v20(constB140) | v21(constB140)))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24159,plain,
% 7.18/5.43 (v19(constB140) <=> (v20(constB140) | v21(constB140))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24158, 15582])).
% 7.18/5.43 tff(24160,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB140) <=> (~((~v19(constB140)) | (~v22(constB140)))))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24161,plain,
% 7.18/5.43 (v18(constB140) <=> (~((~v19(constB140)) | (~v22(constB140))))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24160, 15594])).
% 7.18/5.43 tff(24162,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB140)) <=> v18(constB140))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24163,plain,
% 7.18/5.43 ((~v4(constB140)) <=> v18(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24162, 15603])).
% 7.18/5.43 tff(24164,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB140)),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24165,plain,
% 7.18/5.43 (v4(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24164, 15612])).
% 7.18/5.43 tff(24166,plain,
% 7.18/5.43 ((~((~v4(constB140)) <=> v18(constB140))) | (~v4(constB140)) | (~v18(constB140))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24167,plain,
% 7.18/5.43 (~v18(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24166, 24165, 24163])).
% 7.18/5.43 tff(24168,plain,
% 7.18/5.43 ((~(v18(constB140) <=> (~((~v19(constB140)) | (~v22(constB140)))))) | v18(constB140) | ((~v19(constB140)) | (~v22(constB140)))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24169,plain,
% 7.18/5.43 ((~v19(constB140)) | (~v22(constB140))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24168, 24167, 24161])).
% 7.18/5.43 tff(24170,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB140) <=> (v1(constB140) | v6(constB140)))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24171,plain,
% 7.18/5.43 (v22(constB140) <=> (v1(constB140) | v6(constB140))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24170, 15625])).
% 7.18/5.43 tff(24172,plain,
% 7.18/5.43 ((v1(constB140) | v6(constB140)) | (~v1(constB140))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24173,plain,
% 7.18/5.43 (v1(constB140) | v6(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24172, 19428])).
% 7.18/5.43 tff(24174,plain,
% 7.18/5.43 ((~(v22(constB140) <=> (v1(constB140) | v6(constB140)))) | v22(constB140) | (~(v1(constB140) | v6(constB140)))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24175,plain,
% 7.18/5.43 ((~(v22(constB140) <=> (v1(constB140) | v6(constB140)))) | v22(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24174, 24173])).
% 7.18/5.43 tff(24176,plain,
% 7.18/5.43 (v22(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24175, 24171])).
% 7.18/5.43 tff(24177,plain,
% 7.18/5.43 ((~((~v19(constB140)) | (~v22(constB140)))) | (~v19(constB140)) | (~v22(constB140))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24178,plain,
% 7.18/5.43 ((~((~v19(constB140)) | (~v22(constB140)))) | (~v19(constB140))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24177, 24176])).
% 7.18/5.43 tff(24179,plain,
% 7.18/5.43 (~v19(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24178, 24169])).
% 7.18/5.43 tff(24180,plain,
% 7.18/5.43 ((~(v19(constB140) <=> (v20(constB140) | v21(constB140)))) | v19(constB140) | (~(v20(constB140) | v21(constB140)))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24181,plain,
% 7.18/5.43 (~(v20(constB140) | v21(constB140))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24180, 24179, 24159])).
% 7.18/5.43 tff(24182,plain,
% 7.18/5.43 ((v20(constB140) | v21(constB140)) | (~v21(constB140))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24183,plain,
% 7.18/5.43 (~v21(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24182, 24181])).
% 7.18/5.43 tff(24184,plain,
% 7.18/5.43 ((~((~v21(constB140)) <=> v6(constB140))) | v21(constB140) | v6(constB140)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24185,plain,
% 7.18/5.43 (v6(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24184, 24183, 24157])).
% 7.18/5.43 tff(24186,plain,
% 7.18/5.43 ((~(v6(constB140) <=> v13(constB140))) | (~v6(constB140)) | v13(constB140)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24187,plain,
% 7.18/5.43 (v13(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24186, 24185, 24155])).
% 7.18/5.43 tff(24188,plain,
% 7.18/5.43 ((~(v13(constB140) <=> v9(constB139))) | (~v13(constB140)) | v9(constB139)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24189,plain,
% 7.18/5.43 (v9(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24188, 24187, 24153])).
% 7.18/5.43 tff(24190,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB139)) <=> v1(constB139))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24191,plain,
% 7.18/5.43 ((~v39(constB139)) <=> v1(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24190, 102])).
% 7.18/5.43 tff(24192,plain,
% 7.18/5.43 ((~((~v39(constB139)) <=> v1(constB139))) | v39(constB139) | v1(constB139)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24193,plain,
% 7.18/5.43 ((~((~v39(constB139)) <=> v1(constB139))) | v39(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24192, 18282])).
% 7.18/5.43 tff(24194,plain,
% 7.18/5.43 (v39(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24193, 24191])).
% 7.18/5.43 tff(24195,plain,
% 7.18/5.43 ((~((~v39(constB139)) | (~v9(constB139)))) | (~v39(constB139)) | (~v9(constB139))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24196,plain,
% 7.18/5.43 ((~((~v39(constB139)) | (~v9(constB139)))) | (~v9(constB139))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24195, 24194])).
% 7.18/5.43 tff(24197,plain,
% 7.18/5.43 (~((~v39(constB139)) | (~v9(constB139)))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24196, 24189])).
% 7.18/5.43 tff(24198,plain,
% 7.18/5.43 ((~(v185(constB139) <=> (~((~v39(constB139)) | (~v9(constB139)))))) | v185(constB139) | ((~v39(constB139)) | (~v9(constB139)))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24199,plain,
% 7.18/5.43 (v185(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24198, 24197, 24149])).
% 7.18/5.43 tff(24200,plain,
% 7.18/5.43 ((v185(constB139) | v26(constB139)) | (~v185(constB139))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24201,plain,
% 7.18/5.43 (v185(constB139) | v26(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24200, 24199])).
% 7.18/5.43 tff(24202,plain,
% 7.18/5.43 ((~(v195(constB139) <=> (v185(constB139) | v26(constB139)))) | v195(constB139) | (~(v185(constB139) | v26(constB139)))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24203,plain,
% 7.18/5.43 (v195(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24202, 24201, 24147])).
% 7.18/5.43 tff(24204,plain,
% 7.18/5.43 ((~((~v194(constB139)) <=> v195(constB139))) | (~v194(constB139)) | (~v195(constB139))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24205,plain,
% 7.18/5.43 (~v194(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24204, 24203, 24145])).
% 7.18/5.43 tff(24206,plain,
% 7.18/5.43 (((~v157(constB139)) | (~v194(constB139))) | v194(constB139)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24207,plain,
% 7.18/5.43 ((~v157(constB139)) | (~v194(constB139))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24206, 24205])).
% 7.18/5.43 tff(24208,plain,
% 7.18/5.43 ((~(v193(constB139) <=> (~((~v157(constB139)) | (~v194(constB139)))))) | (~v193(constB139)) | (~((~v157(constB139)) | (~v194(constB139))))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24209,plain,
% 7.18/5.43 (~v193(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24208, 24207, 24143])).
% 7.18/5.43 tff(24210,plain,
% 7.18/5.43 ((~(v193(constB139) | v196(constB139))) | v193(constB139) | v196(constB139)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24211,plain,
% 7.18/5.43 (~(v193(constB139) | v196(constB139))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24210, 24209, 24136])).
% 7.18/5.43 tff(24212,plain,
% 7.18/5.43 ((~(v190(constB139) <=> (v193(constB139) | v196(constB139)))) | (~v190(constB139)) | (v193(constB139) | v196(constB139))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24213,plain,
% 7.18/5.43 (~v190(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24212, 24211, 24090])).
% 7.18/5.43 tff(24214,plain,
% 7.18/5.43 ((~(v192(constB140) <=> v190(constB139))) | (~v192(constB140)) | v190(constB139)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24215,plain,
% 7.18/5.43 (~v192(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24214, 24213, 24088])).
% 7.18/5.43 tff(24216,plain,
% 7.18/5.43 ((~(v157(constB140) <=> v192(constB140))) | (~v157(constB140)) | v192(constB140)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24217,plain,
% 7.18/5.43 (~v157(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24216, 24215, 24084])).
% 7.18/5.43 tff(24218,plain,
% 7.18/5.43 (((~v157(constB140)) | (~v194(constB140))) | v157(constB140)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24219,plain,
% 7.18/5.43 ((~v157(constB140)) | (~v194(constB140))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24218, 24217])).
% 7.18/5.43 tff(24220,plain,
% 7.18/5.43 ((~(v193(constB140) <=> (~((~v157(constB140)) | (~v194(constB140)))))) | (~v193(constB140)) | (~((~v157(constB140)) | (~v194(constB140))))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24221,plain,
% 7.18/5.43 (~v193(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24220, 24219, 24082])).
% 7.18/5.43 tff(24222,plain,
% 7.18/5.43 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB140) <=> (~((~v159(constB140)) | (~v194(constB140)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB140) <=> (~((~v159(constB140)) | (~v194(constB140))))))),
% 7.18/5.43 inference(rewrite,[status(thm)],[])).
% 7.18/5.43 tff(24223,plain,
% 7.18/5.43 ((v196(constB140) <=> (~((~v194(constB140)) | (~v159(constB140))))) <=> (v196(constB140) <=> (~((~v159(constB140)) | (~v194(constB140)))))),
% 7.18/5.43 inference(rewrite,[status(thm)],[])).
% 7.18/5.43 tff(24224,plain,
% 7.18/5.43 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB140) <=> (~((~v194(constB140)) | (~v159(constB140)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB140) <=> (~((~v159(constB140)) | (~v194(constB140))))))),
% 7.18/5.43 inference(monotonicity,[status(thm)],[24223])).
% 7.18/5.43 tff(24225,plain,
% 7.18/5.43 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB140) <=> (~((~v194(constB140)) | (~v159(constB140)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB140) <=> (~((~v159(constB140)) | (~v194(constB140))))))),
% 7.18/5.43 inference(transitivity,[status(thm)],[24224, 24222])).
% 7.18/5.43 tff(24226,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB140) <=> (~((~v194(constB140)) | (~v159(constB140)))))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24227,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB140) <=> (~((~v159(constB140)) | (~v194(constB140)))))),
% 7.18/5.43 inference(modus_ponens,[status(thm)],[24226, 24225])).
% 7.18/5.43 tff(24228,plain,
% 7.18/5.43 (v196(constB140) <=> (~((~v159(constB140)) | (~v194(constB140))))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24227, 15467])).
% 7.18/5.43 tff(24229,plain,
% 7.18/5.43 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB140) <=> v182(constB140))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24230,plain,
% 7.18/5.43 (v159(constB140) <=> v182(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24229, 15113])).
% 7.18/5.43 tff(24231,plain,
% 7.18/5.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB139, constB140)) | (v182(constB140) <=> v180(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB139, constB140)) | (v182(constB140) <=> v180(constB139)))),
% 7.18/5.43 inference(rewrite,[status(thm)],[])).
% 7.18/5.43 tff(24232,plain,
% 7.18/5.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB139, constB140)) | (v182(constB140) <=> v180(constB139)))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24233,plain,
% 7.18/5.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB139, constB140)) | (v182(constB140) <=> v180(constB139))),
% 7.18/5.43 inference(modus_ponens,[status(thm)],[24232, 24231])).
% 7.18/5.43 tff(24234,plain,
% 7.18/5.43 (v182(constB140) <=> v180(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24233, 18238, 15125])).
% 7.18/5.43 tff(24235,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB139) <=> (~((~v183(constB139)) | (~v184(constB139)))))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24236,plain,
% 7.18/5.43 (v180(constB139) <=> (~((~v183(constB139)) | (~v184(constB139))))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24235, 15139])).
% 7.18/5.43 tff(24237,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB139) <=> (~((~v185(constB139)) | (~v161(constB139)))))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24238,plain,
% 7.18/5.43 (v184(constB139) <=> (~((~v185(constB139)) | (~v161(constB139))))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24237, 15151])).
% 7.18/5.43 tff(24239,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB139) <=> v163(constB139))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24240,plain,
% 7.18/5.43 (v161(constB139) <=> v163(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24239, 15701])).
% 7.18/5.43 tff(24241,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB139) <=> (v145(constB139) | v167(constB139)))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24242,plain,
% 7.18/5.43 (v166(constB139) <=> (v145(constB139) | v167(constB139))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24241, 15713])).
% 7.18/5.43 tff(24243,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB139) <=> (v142(constB139) | v168(constB139)))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24244,plain,
% 7.18/5.43 (v167(constB139) <=> (v142(constB139) | v168(constB139))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24243, 15725])).
% 7.18/5.43 tff(24245,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB139) <=> (v143(constB139) | v144(constB139)))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24246,plain,
% 7.18/5.43 (v142(constB139) <=> (v143(constB139) | v144(constB139))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24245, 221])).
% 7.18/5.43 tff(24247,plain,
% 7.18/5.43 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB139) <=> (~((~v88(constB139, 1)) | v88(constB139, 2) | v88(constB139, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB139) <=> (~((~v88(constB139, 1)) | v88(constB139, 2) | v88(constB139, 0)))))),
% 7.18/5.43 inference(rewrite,[status(thm)],[])).
% 7.18/5.43 tff(24248,plain,
% 7.18/5.43 ((v143(constB139) <=> (~(v88(constB139, 0) | v88(constB139, 2) | (~v88(constB139, 1))))) <=> (v143(constB139) <=> (~((~v88(constB139, 1)) | v88(constB139, 2) | v88(constB139, 0))))),
% 7.18/5.43 inference(rewrite,[status(thm)],[])).
% 7.18/5.43 tff(24249,plain,
% 7.18/5.43 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB139) <=> (~(v88(constB139, 0) | v88(constB139, 2) | (~v88(constB139, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB139) <=> (~((~v88(constB139, 1)) | v88(constB139, 2) | v88(constB139, 0)))))),
% 7.18/5.43 inference(monotonicity,[status(thm)],[24248])).
% 7.18/5.43 tff(24250,plain,
% 7.18/5.43 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB139) <=> (~(v88(constB139, 0) | v88(constB139, 2) | (~v88(constB139, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB139) <=> (~((~v88(constB139, 1)) | v88(constB139, 2) | v88(constB139, 0)))))),
% 7.18/5.43 inference(transitivity,[status(thm)],[24249, 24247])).
% 7.18/5.43 tff(24251,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB139) <=> (~(v88(constB139, 0) | v88(constB139, 2) | (~v88(constB139, 1)))))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24252,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB139) <=> (~((~v88(constB139, 1)) | v88(constB139, 2) | v88(constB139, 0))))),
% 7.18/5.43 inference(modus_ponens,[status(thm)],[24251, 24250])).
% 7.18/5.43 tff(24253,plain,
% 7.18/5.43 (v143(constB139) <=> (~((~v88(constB139, 1)) | v88(constB139, 2) | v88(constB139, 0)))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24252, 236])).
% 7.18/5.43 tff(24254,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB139, 1)) <=> v90(constB139, 1)) | ((~v88(constB139, 2)) <=> v90(constB139, 2)) | ((~v88(constB139, 0)) <=> v90(constB139, 0))))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24255,plain,
% 7.18/5.43 (~(((~v88(constB139, 1)) <=> v90(constB139, 1)) | ((~v88(constB139, 2)) <=> v90(constB139, 2)) | ((~v88(constB139, 0)) <=> v90(constB139, 0)))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24254, 256])).
% 7.18/5.43 tff(24256,plain,
% 7.18/5.43 ((((~v88(constB139, 1)) <=> v90(constB139, 1)) | ((~v88(constB139, 2)) <=> v90(constB139, 2)) | ((~v88(constB139, 0)) <=> v90(constB139, 0))) | (~((~v88(constB139, 2)) <=> v90(constB139, 2)))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24257,plain,
% 7.18/5.43 (~((~v88(constB139, 2)) <=> v90(constB139, 2))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24256, 24255])).
% 7.18/5.43 tff(24258,plain,
% 7.18/5.43 (((~v88(constB139, 2)) <=> v90(constB139, 2)) | (~v88(constB139, 2)) | v90(constB139, 2)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24259,plain,
% 7.18/5.43 (~v88(constB139, 2)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24258, 19350, 24257])).
% 7.18/5.43 tff(24260,plain,
% 7.18/5.43 ((((~v88(constB139, 1)) <=> v90(constB139, 1)) | ((~v88(constB139, 2)) <=> v90(constB139, 2)) | ((~v88(constB139, 0)) <=> v90(constB139, 0))) | (~((~v88(constB139, 0)) <=> v90(constB139, 0)))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24261,plain,
% 7.18/5.43 (~((~v88(constB139, 0)) <=> v90(constB139, 0))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24260, 24255])).
% 7.18/5.43 tff(24262,plain,
% 7.18/5.43 (((~v88(constB139, 0)) <=> v90(constB139, 0)) | (~v88(constB139, 0)) | v90(constB139, 0)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24263,plain,
% 7.18/5.43 (~v88(constB139, 0)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24262, 19368, 24261])).
% 7.18/5.43 tff(24264,plain,
% 7.18/5.43 ((((~v88(constB139, 1)) <=> v90(constB139, 1)) | ((~v88(constB139, 2)) <=> v90(constB139, 2)) | ((~v88(constB139, 0)) <=> v90(constB139, 0))) | (~((~v88(constB139, 1)) <=> v90(constB139, 1)))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24265,plain,
% 7.18/5.43 (~((~v88(constB139, 1)) <=> v90(constB139, 1))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24264, 24255])).
% 7.18/5.43 tff(24266,plain,
% 7.18/5.43 (((~v88(constB139, 1)) <=> v90(constB139, 1)) | v88(constB139, 1) | (~v90(constB139, 1))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24267,plain,
% 7.18/5.43 (v88(constB139, 1)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24266, 19386, 24265])).
% 7.18/5.43 tff(24268,plain,
% 7.18/5.43 ((~((~v88(constB139, 1)) | v88(constB139, 2) | v88(constB139, 0))) | (~v88(constB139, 1)) | v88(constB139, 2) | v88(constB139, 0)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24269,plain,
% 7.18/5.43 (~((~v88(constB139, 1)) | v88(constB139, 2) | v88(constB139, 0))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24268, 24267, 24263, 24259])).
% 7.18/5.43 tff(24270,plain,
% 7.18/5.43 ((~(v143(constB139) <=> (~((~v88(constB139, 1)) | v88(constB139, 2) | v88(constB139, 0))))) | v143(constB139) | ((~v88(constB139, 1)) | v88(constB139, 2) | v88(constB139, 0))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24271,plain,
% 7.18/5.43 (v143(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24270, 24269, 24253])).
% 7.18/5.43 tff(24272,plain,
% 7.18/5.43 ((v143(constB139) | v144(constB139)) | (~v143(constB139))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24273,plain,
% 7.18/5.43 (v143(constB139) | v144(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24272, 24271])).
% 7.18/5.43 tff(24274,plain,
% 7.18/5.43 ((~(v142(constB139) <=> (v143(constB139) | v144(constB139)))) | v142(constB139) | (~(v143(constB139) | v144(constB139)))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24275,plain,
% 7.18/5.43 (v142(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24274, 24273, 24246])).
% 7.18/5.43 tff(24276,plain,
% 7.18/5.43 ((v142(constB139) | v168(constB139)) | (~v142(constB139))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24277,plain,
% 7.18/5.43 (v142(constB139) | v168(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24276, 24275])).
% 7.18/5.43 tff(24278,plain,
% 7.18/5.43 ((~(v167(constB139) <=> (v142(constB139) | v168(constB139)))) | v167(constB139) | (~(v142(constB139) | v168(constB139)))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24279,plain,
% 7.18/5.43 ((~(v167(constB139) <=> (v142(constB139) | v168(constB139)))) | v167(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24278, 24277])).
% 7.18/5.43 tff(24280,plain,
% 7.18/5.43 (v167(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24279, 24244])).
% 7.18/5.43 tff(24281,plain,
% 7.18/5.43 ((v145(constB139) | v167(constB139)) | (~v167(constB139))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24282,plain,
% 7.18/5.43 (v145(constB139) | v167(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24281, 24280])).
% 7.18/5.43 tff(24283,plain,
% 7.18/5.43 ((~(v166(constB139) <=> (v145(constB139) | v167(constB139)))) | v166(constB139) | (~(v145(constB139) | v167(constB139)))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24284,plain,
% 7.18/5.43 (v166(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24283, 24282, 24242])).
% 7.18/5.43 tff(24285,plain,
% 7.18/5.43 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB139)) | (v163(constB139) <=> v170(constB139)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB139)) | (v163(constB139) <=> v170(constB139)))),
% 7.18/5.43 inference(rewrite,[status(thm)],[])).
% 7.18/5.43 tff(24286,plain,
% 7.18/5.43 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB139)) | (v163(constB139) <=> v170(constB139)))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24287,plain,
% 7.18/5.43 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB139)) | (v163(constB139) <=> v170(constB139))),
% 7.18/5.43 inference(modus_ponens,[status(thm)],[24286, 24285])).
% 7.18/5.43 tff(24288,plain,
% 7.18/5.43 ((~v166(constB139)) | (v163(constB139) <=> v170(constB139))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24287, 15777])).
% 7.18/5.43 tff(24289,plain,
% 7.18/5.43 (v163(constB139) <=> v170(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24288, 24284])).
% 7.18/5.43 tff(24290,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB139) <=> (~(v88(constB139, 1) | v88(constB139, 2) | (~v88(constB139, 0)))))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24291,plain,
% 7.18/5.43 (v140(constB139) <=> (~(v88(constB139, 1) | v88(constB139, 2) | (~v88(constB139, 0))))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24290, 15814])).
% 7.18/5.43 tff(24292,plain,
% 7.18/5.43 ((v88(constB139, 1) | v88(constB139, 2) | (~v88(constB139, 0))) | v88(constB139, 0)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24293,plain,
% 7.18/5.43 (v88(constB139, 1) | v88(constB139, 2) | (~v88(constB139, 0))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24292, 24263])).
% 7.18/5.43 tff(24294,plain,
% 7.18/5.43 ((~(v140(constB139) <=> (~(v88(constB139, 1) | v88(constB139, 2) | (~v88(constB139, 0)))))) | (~v140(constB139)) | (~(v88(constB139, 1) | v88(constB139, 2) | (~v88(constB139, 0))))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24295,plain,
% 7.18/5.43 (~v140(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24294, 24293, 24291])).
% 7.18/5.43 tff(24296,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB139) <=> (~(v88(constB139, 0) | v88(constB139, 1) | v88(constB139, 2))))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24297,plain,
% 7.18/5.43 (v139(constB139) <=> (~(v88(constB139, 0) | v88(constB139, 1) | v88(constB139, 2)))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24296, 15795])).
% 7.18/5.43 tff(24298,plain,
% 7.18/5.43 ((v88(constB139, 0) | v88(constB139, 1) | v88(constB139, 2)) | (~v88(constB139, 1))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24299,plain,
% 7.18/5.43 (v88(constB139, 0) | v88(constB139, 1) | v88(constB139, 2)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24298, 24267])).
% 7.18/5.43 tff(24300,plain,
% 7.18/5.43 ((~(v139(constB139) <=> (~(v88(constB139, 0) | v88(constB139, 1) | v88(constB139, 2))))) | (~v139(constB139)) | (~(v88(constB139, 0) | v88(constB139, 1) | v88(constB139, 2)))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24301,plain,
% 7.18/5.43 (~v139(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24300, 24299, 24297])).
% 7.18/5.43 tff(24302,plain,
% 7.18/5.43 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB139) | v139(constB139) | (~v170(constB139)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB139) | v139(constB139) | (~v170(constB139)))),
% 7.18/5.43 inference(rewrite,[status(thm)],[])).
% 7.18/5.43 tff(24303,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB139) | v139(constB139) | (~v170(constB139)))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24304,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB139) | v139(constB139) | (~v170(constB139))),
% 7.18/5.43 inference(modus_ponens,[status(thm)],[24303, 24302])).
% 7.18/5.43 tff(24305,plain,
% 7.18/5.43 (v140(constB139) | v139(constB139) | (~v170(constB139))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24304, 15833])).
% 7.18/5.43 tff(24306,plain,
% 7.18/5.43 (~v170(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24305, 24301, 24295])).
% 7.18/5.43 tff(24307,plain,
% 7.18/5.43 ((~(v163(constB139) <=> v170(constB139))) | (~v163(constB139)) | v170(constB139)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24308,plain,
% 7.18/5.43 ((~(v163(constB139) <=> v170(constB139))) | (~v163(constB139))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24307, 24306])).
% 7.18/5.43 tff(24309,plain,
% 7.18/5.43 (~v163(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24308, 24289])).
% 7.18/5.43 tff(24310,plain,
% 7.18/5.43 ((~(v161(constB139) <=> v163(constB139))) | (~v161(constB139)) | v163(constB139)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24311,plain,
% 7.18/5.43 ((~(v161(constB139) <=> v163(constB139))) | (~v161(constB139))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24310, 24309])).
% 7.18/5.43 tff(24312,plain,
% 7.18/5.43 (~v161(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24311, 24240])).
% 7.18/5.43 tff(24313,plain,
% 7.18/5.43 (((~v185(constB139)) | (~v161(constB139))) | v161(constB139)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24314,plain,
% 7.18/5.43 ((~v185(constB139)) | (~v161(constB139))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24313, 24312])).
% 7.18/5.43 tff(24315,plain,
% 7.18/5.43 ((~(v184(constB139) <=> (~((~v185(constB139)) | (~v161(constB139)))))) | (~v184(constB139)) | (~((~v185(constB139)) | (~v161(constB139))))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24316,plain,
% 7.18/5.43 (~v184(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24315, 24314, 24238])).
% 7.18/5.43 tff(24317,plain,
% 7.18/5.43 (((~v183(constB139)) | (~v184(constB139))) | v184(constB139)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24318,plain,
% 7.18/5.43 ((~v183(constB139)) | (~v184(constB139))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24317, 24316])).
% 7.18/5.43 tff(24319,plain,
% 7.18/5.43 ((~(v180(constB139) <=> (~((~v183(constB139)) | (~v184(constB139)))))) | (~v180(constB139)) | (~((~v183(constB139)) | (~v184(constB139))))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24320,plain,
% 7.18/5.43 (~v180(constB139)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24319, 24318, 24236])).
% 7.18/5.43 tff(24321,plain,
% 7.18/5.43 ((~(v182(constB140) <=> v180(constB139))) | (~v182(constB140)) | v180(constB139)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24322,plain,
% 7.18/5.43 (~v182(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24321, 24320, 24234])).
% 7.18/5.43 tff(24323,plain,
% 7.18/5.43 ((~(v159(constB140) <=> v182(constB140))) | (~v159(constB140)) | v182(constB140)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24324,plain,
% 7.18/5.43 (~v159(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24323, 24322, 24230])).
% 7.18/5.43 tff(24325,plain,
% 7.18/5.43 (((~v159(constB140)) | (~v194(constB140))) | v159(constB140)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24326,plain,
% 7.18/5.43 ((~v159(constB140)) | (~v194(constB140))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24325, 24324])).
% 7.18/5.43 tff(24327,plain,
% 7.18/5.43 ((~(v196(constB140) <=> (~((~v159(constB140)) | (~v194(constB140)))))) | (~v196(constB140)) | (~((~v159(constB140)) | (~v194(constB140))))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24328,plain,
% 7.18/5.43 (~v196(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24327, 24326, 24228])).
% 7.18/5.43 tff(24329,plain,
% 7.18/5.43 ((~(v193(constB140) | v196(constB140))) | v193(constB140) | v196(constB140)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24330,plain,
% 7.18/5.43 (~(v193(constB140) | v196(constB140))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24329, 24328, 24221])).
% 7.18/5.43 tff(24331,plain,
% 7.18/5.43 ((~(v190(constB140) <=> (v193(constB140) | v196(constB140)))) | (~v190(constB140)) | (v193(constB140) | v196(constB140))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24332,plain,
% 7.18/5.43 (~v190(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24331, 24330, 24075])).
% 7.18/5.43 tff(24333,plain,
% 7.18/5.43 ((~(v192(constB141) <=> v190(constB140))) | (~v192(constB141)) | v190(constB140)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24334,plain,
% 7.18/5.43 (~v192(constB141)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24333, 24332, 24073])).
% 7.18/5.43 tff(24335,plain,
% 7.18/5.43 ((~(v157(constB141) <=> v192(constB141))) | (~v157(constB141)) | v192(constB141)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24336,plain,
% 7.18/5.43 (~v157(constB141)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24335, 24334, 24069])).
% 7.18/5.43 tff(24337,plain,
% 7.18/5.43 (((~v157(constB141)) | (~v202(constB141))) | v157(constB141)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24338,plain,
% 7.18/5.43 ((~v157(constB141)) | (~v202(constB141))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24337, 24336])).
% 7.18/5.43 tff(24339,plain,
% 7.18/5.43 ((~(v201(constB141) <=> (~((~v157(constB141)) | (~v202(constB141)))))) | (~v201(constB141)) | (~((~v157(constB141)) | (~v202(constB141))))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24340,plain,
% 7.18/5.43 (~v201(constB141)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24339, 24338, 24067])).
% 7.18/5.43 tff(24341,plain,
% 7.18/5.43 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB141) <=> (~((~v159(constB141)) | (~v202(constB141)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB141) <=> (~((~v159(constB141)) | (~v202(constB141))))))),
% 7.18/5.43 inference(rewrite,[status(thm)],[])).
% 7.18/5.43 tff(24342,plain,
% 7.18/5.43 ((v205(constB141) <=> (~((~v202(constB141)) | (~v159(constB141))))) <=> (v205(constB141) <=> (~((~v159(constB141)) | (~v202(constB141)))))),
% 7.18/5.43 inference(rewrite,[status(thm)],[])).
% 7.18/5.43 tff(24343,plain,
% 7.18/5.43 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB141) <=> (~((~v202(constB141)) | (~v159(constB141)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB141) <=> (~((~v159(constB141)) | (~v202(constB141))))))),
% 7.18/5.43 inference(monotonicity,[status(thm)],[24342])).
% 7.18/5.43 tff(24344,plain,
% 7.18/5.43 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB141) <=> (~((~v202(constB141)) | (~v159(constB141)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB141) <=> (~((~v159(constB141)) | (~v202(constB141))))))),
% 7.18/5.43 inference(transitivity,[status(thm)],[24343, 24341])).
% 7.18/5.43 tff(24345,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB141) <=> (~((~v202(constB141)) | (~v159(constB141)))))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24346,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB141) <=> (~((~v159(constB141)) | (~v202(constB141)))))),
% 7.18/5.43 inference(modus_ponens,[status(thm)],[24345, 24344])).
% 7.18/5.43 tff(24347,plain,
% 7.18/5.43 (v205(constB141) <=> (~((~v159(constB141)) | (~v202(constB141))))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24346, 138])).
% 7.18/5.43 tff(24348,plain,
% 7.18/5.43 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB141) <=> v182(constB141))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24349,plain,
% 7.18/5.43 (v159(constB141) <=> v182(constB141)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24348, 15113])).
% 7.18/5.43 tff(24350,plain,
% 7.18/5.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB140, constB141)) | (v182(constB141) <=> v180(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB140, constB141)) | (v182(constB141) <=> v180(constB140)))),
% 7.18/5.43 inference(rewrite,[status(thm)],[])).
% 7.18/5.43 tff(24351,plain,
% 7.18/5.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB140, constB141)) | (v182(constB141) <=> v180(constB140)))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24352,plain,
% 7.18/5.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB140, constB141)) | (v182(constB141) <=> v180(constB140))),
% 7.18/5.43 inference(modus_ponens,[status(thm)],[24351, 24350])).
% 7.18/5.43 tff(24353,plain,
% 7.18/5.43 (v182(constB141) <=> v180(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24352, 18202, 15125])).
% 7.18/5.43 tff(24354,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB140) <=> (~((~v183(constB140)) | (~v184(constB140)))))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24355,plain,
% 7.18/5.43 (v180(constB140) <=> (~((~v183(constB140)) | (~v184(constB140))))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24354, 15139])).
% 7.18/5.43 tff(24356,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB140) <=> (~((~v185(constB140)) | (~v161(constB140)))))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24357,plain,
% 7.18/5.43 (v184(constB140) <=> (~((~v185(constB140)) | (~v161(constB140))))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24356, 15151])).
% 7.18/5.43 tff(24358,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB140) <=> (~((~v39(constB140)) | (~v9(constB140)))))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24359,plain,
% 7.18/5.43 (v185(constB140) <=> (~((~v39(constB140)) | (~v9(constB140))))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24358, 93])).
% 7.18/5.43 tff(24360,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB140)) <=> v1(constB140))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24361,plain,
% 7.18/5.43 ((~v39(constB140)) <=> v1(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24360, 102])).
% 7.18/5.43 tff(24362,plain,
% 7.18/5.43 ((~((~v39(constB140)) <=> v1(constB140))) | (~v39(constB140)) | (~v1(constB140))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24363,plain,
% 7.18/5.43 ((~((~v39(constB140)) <=> v1(constB140))) | (~v39(constB140))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24362, 19428])).
% 7.18/5.43 tff(24364,plain,
% 7.18/5.43 (~v39(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24363, 24361])).
% 7.18/5.43 tff(24365,plain,
% 7.18/5.43 (((~v39(constB140)) | (~v9(constB140))) | v39(constB140)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24366,plain,
% 7.18/5.43 ((~v39(constB140)) | (~v9(constB140))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24365, 24364])).
% 7.18/5.43 tff(24367,plain,
% 7.18/5.43 ((~(v185(constB140) <=> (~((~v39(constB140)) | (~v9(constB140)))))) | (~v185(constB140)) | (~((~v39(constB140)) | (~v9(constB140))))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24368,plain,
% 7.18/5.43 ((~(v185(constB140) <=> (~((~v39(constB140)) | (~v9(constB140)))))) | (~v185(constB140))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24367, 24366])).
% 7.18/5.43 tff(24369,plain,
% 7.18/5.43 (~v185(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24368, 24359])).
% 7.18/5.43 tff(24370,plain,
% 7.18/5.43 (((~v185(constB140)) | (~v161(constB140))) | v185(constB140)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24371,plain,
% 7.18/5.43 ((~v185(constB140)) | (~v161(constB140))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24370, 24369])).
% 7.18/5.43 tff(24372,plain,
% 7.18/5.43 ((~(v184(constB140) <=> (~((~v185(constB140)) | (~v161(constB140)))))) | (~v184(constB140)) | (~((~v185(constB140)) | (~v161(constB140))))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24373,plain,
% 7.18/5.43 ((~(v184(constB140) <=> (~((~v185(constB140)) | (~v161(constB140)))))) | (~v184(constB140))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24372, 24371])).
% 7.18/5.43 tff(24374,plain,
% 7.18/5.43 (~v184(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24373, 24357])).
% 7.18/5.43 tff(24375,plain,
% 7.18/5.43 (((~v183(constB140)) | (~v184(constB140))) | v184(constB140)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24376,plain,
% 7.18/5.43 ((~v183(constB140)) | (~v184(constB140))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24375, 24374])).
% 7.18/5.43 tff(24377,plain,
% 7.18/5.43 ((~(v180(constB140) <=> (~((~v183(constB140)) | (~v184(constB140)))))) | (~v180(constB140)) | (~((~v183(constB140)) | (~v184(constB140))))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24378,plain,
% 7.18/5.43 (~v180(constB140)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24377, 24376, 24355])).
% 7.18/5.43 tff(24379,plain,
% 7.18/5.43 ((~(v182(constB141) <=> v180(constB140))) | (~v182(constB141)) | v180(constB140)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24380,plain,
% 7.18/5.43 (~v182(constB141)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24379, 24378, 24353])).
% 7.18/5.43 tff(24381,plain,
% 7.18/5.43 ((~(v159(constB141) <=> v182(constB141))) | (~v159(constB141)) | v182(constB141)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24382,plain,
% 7.18/5.43 (~v159(constB141)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24381, 24380, 24349])).
% 7.18/5.43 tff(24383,plain,
% 7.18/5.43 (((~v159(constB141)) | (~v202(constB141))) | v159(constB141)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24384,plain,
% 7.18/5.43 ((~v159(constB141)) | (~v202(constB141))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24383, 24382])).
% 7.18/5.43 tff(24385,plain,
% 7.18/5.43 ((~(v205(constB141) <=> (~((~v159(constB141)) | (~v202(constB141)))))) | (~v205(constB141)) | (~((~v159(constB141)) | (~v202(constB141))))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24386,plain,
% 7.18/5.43 (~v205(constB141)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24385, 24384, 24347])).
% 7.18/5.43 tff(24387,plain,
% 7.18/5.43 ((~(v201(constB141) | v205(constB141))) | v201(constB141) | v205(constB141)),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24388,plain,
% 7.18/5.43 ((~(v201(constB141) | v205(constB141))) | v201(constB141)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24387, 24386])).
% 7.18/5.43 tff(24389,plain,
% 7.18/5.43 (~(v201(constB141) | v205(constB141))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24388, 24340])).
% 7.18/5.43 tff(24390,plain,
% 7.18/5.43 ((~(v200(constB141) <=> (v201(constB141) | v205(constB141)))) | (~v200(constB141)) | (v201(constB141) | v205(constB141))),
% 7.18/5.43 inference(tautology,[status(thm)],[])).
% 7.18/5.43 tff(24391,plain,
% 7.18/5.43 (~v200(constB141)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24390, 24389, 24060])).
% 7.18/5.43 tff(24392,plain,
% 7.18/5.43 ($false),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24391, 24058])).
% 7.18/5.43 tff(24393,plain,(~(constB141 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.18/5.43 tff(24394,assumption,(constB41 = VarCurr!0), introduced(assumption)).
% 7.18/5.43 tff(24395,plain,
% 7.18/5.43 (v200(constB41) <=> v200(VarCurr!0)),
% 7.18/5.43 inference(monotonicity,[status(thm)],[24394])).
% 7.18/5.43 tff(24396,plain,
% 7.18/5.43 (v200(VarCurr!0) <=> v200(constB41)),
% 7.18/5.43 inference(symmetry,[status(thm)],[24395])).
% 7.18/5.43 tff(24397,plain,
% 7.18/5.43 (v200(constB41)),
% 7.18/5.43 inference(modus_ponens,[status(thm)],[27, 24396])).
% 7.18/5.43 tff(24398,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB41) <=> (v201(constB41) | v205(constB41)))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24399,plain,
% 7.18/5.43 (v200(constB41) <=> (v201(constB41) | v205(constB41))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24398, 35])).
% 7.18/5.43 tff(24400,plain,
% 7.18/5.43 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB41) <=> (~((~v157(constB41)) | (~v202(constB41)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB41) <=> (~((~v157(constB41)) | (~v202(constB41))))))),
% 7.18/5.43 inference(rewrite,[status(thm)],[])).
% 7.18/5.43 tff(24401,plain,
% 7.18/5.43 ((v201(constB41) <=> (~((~v202(constB41)) | (~v157(constB41))))) <=> (v201(constB41) <=> (~((~v157(constB41)) | (~v202(constB41)))))),
% 7.18/5.43 inference(rewrite,[status(thm)],[])).
% 7.18/5.43 tff(24402,plain,
% 7.18/5.43 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB41) <=> (~((~v202(constB41)) | (~v157(constB41)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB41) <=> (~((~v157(constB41)) | (~v202(constB41))))))),
% 7.18/5.43 inference(monotonicity,[status(thm)],[24401])).
% 7.18/5.43 tff(24403,plain,
% 7.18/5.43 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB41) <=> (~((~v202(constB41)) | (~v157(constB41)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB41) <=> (~((~v157(constB41)) | (~v202(constB41))))))),
% 7.18/5.43 inference(transitivity,[status(thm)],[24402, 24400])).
% 7.18/5.43 tff(24404,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB41) <=> (~((~v202(constB41)) | (~v157(constB41)))))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24405,plain,
% 7.18/5.43 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB41) <=> (~((~v157(constB41)) | (~v202(constB41)))))),
% 7.18/5.43 inference(modus_ponens,[status(thm)],[24404, 24403])).
% 7.18/5.43 tff(24406,plain,
% 7.18/5.43 (v201(constB41) <=> (~((~v157(constB41)) | (~v202(constB41))))),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24405, 47])).
% 7.18/5.43 tff(24407,plain,
% 7.18/5.43 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB41) <=> v192(constB41))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24408,plain,
% 7.18/5.43 (v157(constB41) <=> v192(constB41)),
% 7.18/5.43 inference(unit_resolution,[status(thm)],[24407, 15407])).
% 7.18/5.43 tff(24409,plain,
% 7.18/5.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB40, constB41)) | (v192(constB41) <=> v190(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB40, constB41)) | (v192(constB41) <=> v190(constB40)))),
% 7.18/5.43 inference(rewrite,[status(thm)],[])).
% 7.18/5.43 tff(24410,plain,
% 7.18/5.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB40, constB41)) | (v192(constB41) <=> v190(constB40)))),
% 7.18/5.43 inference(quant_inst,[status(thm)],[])).
% 7.18/5.43 tff(24411,plain,
% 7.18/5.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB40, constB41)) | (v192(constB41) <=> v190(constB40))),
% 7.18/5.43 inference(modus_ponens,[status(thm)],[24410, 24409])).
% 7.18/5.44 tff(24412,plain,
% 7.18/5.44 (v192(constB41) <=> v190(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24411, 3227, 15419])).
% 7.18/5.44 tff(24413,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB40) <=> (v193(constB40) | v196(constB40)))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24414,plain,
% 7.18/5.44 (v190(constB40) <=> (v193(constB40) | v196(constB40))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24413, 15430])).
% 7.18/5.44 tff(24415,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB40) <=> (~((~v157(constB40)) | (~v194(constB40)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB40) <=> (~((~v157(constB40)) | (~v194(constB40))))))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24416,plain,
% 7.18/5.44 ((v193(constB40) <=> (~((~v194(constB40)) | (~v157(constB40))))) <=> (v193(constB40) <=> (~((~v157(constB40)) | (~v194(constB40)))))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24417,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB40) <=> (~((~v194(constB40)) | (~v157(constB40)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB40) <=> (~((~v157(constB40)) | (~v194(constB40))))))),
% 7.18/5.44 inference(monotonicity,[status(thm)],[24416])).
% 7.18/5.44 tff(24418,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB40) <=> (~((~v194(constB40)) | (~v157(constB40)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB40) <=> (~((~v157(constB40)) | (~v194(constB40))))))),
% 7.18/5.44 inference(transitivity,[status(thm)],[24417, 24415])).
% 7.18/5.44 tff(24419,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB40) <=> (~((~v194(constB40)) | (~v157(constB40)))))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24420,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB40) <=> (~((~v157(constB40)) | (~v194(constB40)))))),
% 7.18/5.44 inference(modus_ponens,[status(thm)],[24419, 24418])).
% 7.18/5.44 tff(24421,plain,
% 7.18/5.44 (v193(constB40) <=> (~((~v157(constB40)) | (~v194(constB40))))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24420, 15442])).
% 7.18/5.44 tff(24422,plain,
% 7.18/5.44 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB40) <=> v192(constB40))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24423,plain,
% 7.18/5.44 (v157(constB40) <=> v192(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24422, 15407])).
% 7.18/5.44 tff(24424,plain,
% 7.18/5.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB39, constB40)) | (v192(constB40) <=> v190(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB39, constB40)) | (v192(constB40) <=> v190(constB39)))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24425,plain,
% 7.18/5.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB39, constB40)) | (v192(constB40) <=> v190(constB39)))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24426,plain,
% 7.18/5.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB39, constB40)) | (v192(constB40) <=> v190(constB39))),
% 7.18/5.44 inference(modus_ponens,[status(thm)],[24425, 24424])).
% 7.18/5.44 tff(24427,plain,
% 7.18/5.44 (v192(constB40) <=> v190(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24426, 3263, 15419])).
% 7.18/5.44 tff(24428,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB39) <=> (v193(constB39) | v196(constB39)))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24429,plain,
% 7.18/5.44 (v190(constB39) <=> (v193(constB39) | v196(constB39))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24428, 15430])).
% 7.18/5.44 tff(24430,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB39) <=> (~((~v159(constB39)) | (~v194(constB39)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB39) <=> (~((~v159(constB39)) | (~v194(constB39))))))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24431,plain,
% 7.18/5.44 ((v196(constB39) <=> (~((~v194(constB39)) | (~v159(constB39))))) <=> (v196(constB39) <=> (~((~v159(constB39)) | (~v194(constB39)))))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24432,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB39) <=> (~((~v194(constB39)) | (~v159(constB39)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB39) <=> (~((~v159(constB39)) | (~v194(constB39))))))),
% 7.18/5.44 inference(monotonicity,[status(thm)],[24431])).
% 7.18/5.44 tff(24433,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB39) <=> (~((~v194(constB39)) | (~v159(constB39)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB39) <=> (~((~v159(constB39)) | (~v194(constB39))))))),
% 7.18/5.44 inference(transitivity,[status(thm)],[24432, 24430])).
% 7.18/5.44 tff(24434,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB39) <=> (~((~v194(constB39)) | (~v159(constB39)))))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24435,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB39) <=> (~((~v159(constB39)) | (~v194(constB39)))))),
% 7.18/5.44 inference(modus_ponens,[status(thm)],[24434, 24433])).
% 7.18/5.44 tff(24436,plain,
% 7.18/5.44 (v196(constB39) <=> (~((~v159(constB39)) | (~v194(constB39))))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24435, 15467])).
% 7.18/5.44 tff(24437,plain,
% 7.18/5.44 (((~v159(constB39)) | (~v194(constB39))) | v159(constB39)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24438,plain,
% 7.18/5.44 ((~v159(constB39)) | (~v194(constB39))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24437, 23718])).
% 7.18/5.44 tff(24439,plain,
% 7.18/5.44 ((~(v196(constB39) <=> (~((~v159(constB39)) | (~v194(constB39)))))) | (~v196(constB39)) | (~((~v159(constB39)) | (~v194(constB39))))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24440,plain,
% 7.18/5.44 (~v196(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24439, 24438, 24436])).
% 7.18/5.44 tff(24441,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB39) <=> (~((~v157(constB39)) | (~v194(constB39)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB39) <=> (~((~v157(constB39)) | (~v194(constB39))))))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24442,plain,
% 7.18/5.44 ((v193(constB39) <=> (~((~v194(constB39)) | (~v157(constB39))))) <=> (v193(constB39) <=> (~((~v157(constB39)) | (~v194(constB39)))))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24443,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB39) <=> (~((~v194(constB39)) | (~v157(constB39)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB39) <=> (~((~v157(constB39)) | (~v194(constB39))))))),
% 7.18/5.44 inference(monotonicity,[status(thm)],[24442])).
% 7.18/5.44 tff(24444,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB39) <=> (~((~v194(constB39)) | (~v157(constB39)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB39) <=> (~((~v157(constB39)) | (~v194(constB39))))))),
% 7.18/5.44 inference(transitivity,[status(thm)],[24443, 24441])).
% 7.18/5.44 tff(24445,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB39) <=> (~((~v194(constB39)) | (~v157(constB39)))))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24446,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB39) <=> (~((~v157(constB39)) | (~v194(constB39)))))),
% 7.18/5.44 inference(modus_ponens,[status(thm)],[24445, 24444])).
% 7.18/5.44 tff(24447,plain,
% 7.18/5.44 (v193(constB39) <=> (~((~v157(constB39)) | (~v194(constB39))))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24446, 15442])).
% 7.18/5.44 tff(24448,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB39)) <=> v195(constB39))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24449,plain,
% 7.18/5.44 ((~v194(constB39)) <=> v195(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24448, 15527])).
% 7.18/5.44 tff(24450,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB39) <=> (v185(constB39) | v26(constB39)))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24451,plain,
% 7.18/5.44 (v195(constB39) <=> (v185(constB39) | v26(constB39))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24450, 15536])).
% 7.18/5.44 tff(24452,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB39) <=> (~((~v39(constB39)) | (~v9(constB39)))))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24453,plain,
% 7.18/5.44 (v185(constB39) <=> (~((~v39(constB39)) | (~v9(constB39))))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24452, 93])).
% 7.18/5.44 tff(24454,plain,
% 7.18/5.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB39, constB40)) | (v13(constB40) <=> v9(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB39, constB40)) | (v13(constB40) <=> v9(constB39)))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24455,plain,
% 7.18/5.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB39, constB40)) | (v13(constB40) <=> v9(constB39)))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24456,plain,
% 7.18/5.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB39, constB40)) | (v13(constB40) <=> v9(constB39))),
% 7.18/5.44 inference(modus_ponens,[status(thm)],[24455, 24454])).
% 7.18/5.44 tff(24457,plain,
% 7.18/5.44 (v13(constB40) <=> v9(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24456, 3263, 15550])).
% 7.18/5.44 tff(24458,plain,
% 7.18/5.44 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB40) <=> v13(constB40))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24459,plain,
% 7.18/5.44 (v6(constB40) <=> v13(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24458, 15564])).
% 7.18/5.44 tff(24460,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB40)) <=> v6(constB40))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24461,plain,
% 7.18/5.44 ((~v21(constB40)) <=> v6(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24460, 15573])).
% 7.18/5.44 tff(24462,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB40) <=> (v20(constB40) | v21(constB40)))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24463,plain,
% 7.18/5.44 (v19(constB40) <=> (v20(constB40) | v21(constB40))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24462, 15582])).
% 7.18/5.44 tff(24464,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB40) <=> (~((~v19(constB40)) | (~v22(constB40)))))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24465,plain,
% 7.18/5.44 (v18(constB40) <=> (~((~v19(constB40)) | (~v22(constB40))))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24464, 15594])).
% 7.18/5.44 tff(24466,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB40)) <=> v18(constB40))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24467,plain,
% 7.18/5.44 ((~v4(constB40)) <=> v18(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24466, 15603])).
% 7.18/5.44 tff(24468,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB40)),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24469,plain,
% 7.18/5.44 (v4(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24468, 15612])).
% 7.18/5.44 tff(24470,plain,
% 7.18/5.44 ((~((~v4(constB40)) <=> v18(constB40))) | (~v4(constB40)) | (~v18(constB40))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24471,plain,
% 7.18/5.44 (~v18(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24470, 24469, 24467])).
% 7.18/5.44 tff(24472,plain,
% 7.18/5.44 ((~(v18(constB40) <=> (~((~v19(constB40)) | (~v22(constB40)))))) | v18(constB40) | ((~v19(constB40)) | (~v22(constB40)))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24473,plain,
% 7.18/5.44 ((~v19(constB40)) | (~v22(constB40))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24472, 24471, 24465])).
% 7.18/5.44 tff(24474,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB40) <=> (v1(constB40) | v6(constB40)))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24475,plain,
% 7.18/5.44 (v22(constB40) <=> (v1(constB40) | v6(constB40))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24474, 15625])).
% 7.18/5.44 tff(24476,plain,
% 7.18/5.44 ((v1(constB40) | v6(constB40)) | (~v1(constB40))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24477,plain,
% 7.18/5.44 (v1(constB40) | v6(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24476, 7871])).
% 7.18/5.44 tff(24478,plain,
% 7.18/5.44 ((~(v22(constB40) <=> (v1(constB40) | v6(constB40)))) | v22(constB40) | (~(v1(constB40) | v6(constB40)))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24479,plain,
% 7.18/5.44 ((~(v22(constB40) <=> (v1(constB40) | v6(constB40)))) | v22(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24478, 24477])).
% 7.18/5.44 tff(24480,plain,
% 7.18/5.44 (v22(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24479, 24475])).
% 7.18/5.44 tff(24481,plain,
% 7.18/5.44 ((~((~v19(constB40)) | (~v22(constB40)))) | (~v19(constB40)) | (~v22(constB40))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24482,plain,
% 7.18/5.44 ((~((~v19(constB40)) | (~v22(constB40)))) | (~v19(constB40))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24481, 24480])).
% 7.18/5.44 tff(24483,plain,
% 7.18/5.44 (~v19(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24482, 24473])).
% 7.18/5.44 tff(24484,plain,
% 7.18/5.44 ((~(v19(constB40) <=> (v20(constB40) | v21(constB40)))) | v19(constB40) | (~(v20(constB40) | v21(constB40)))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24485,plain,
% 7.18/5.44 (~(v20(constB40) | v21(constB40))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24484, 24483, 24463])).
% 7.18/5.44 tff(24486,plain,
% 7.18/5.44 ((v20(constB40) | v21(constB40)) | (~v21(constB40))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24487,plain,
% 7.18/5.44 (~v21(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24486, 24485])).
% 7.18/5.44 tff(24488,plain,
% 7.18/5.44 ((~((~v21(constB40)) <=> v6(constB40))) | v21(constB40) | v6(constB40)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24489,plain,
% 7.18/5.44 (v6(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24488, 24487, 24461])).
% 7.18/5.44 tff(24490,plain,
% 7.18/5.44 ((~(v6(constB40) <=> v13(constB40))) | (~v6(constB40)) | v13(constB40)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24491,plain,
% 7.18/5.44 (v13(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24490, 24489, 24459])).
% 7.18/5.44 tff(24492,plain,
% 7.18/5.44 ((~(v13(constB40) <=> v9(constB39))) | (~v13(constB40)) | v9(constB39)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24493,plain,
% 7.18/5.44 (v9(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24492, 24491, 24457])).
% 7.18/5.44 tff(24494,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB39)) <=> v1(constB39))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24495,plain,
% 7.18/5.44 ((~v39(constB39)) <=> v1(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24494, 102])).
% 7.18/5.44 tff(24496,plain,
% 7.18/5.44 ((~((~v39(constB39)) <=> v1(constB39))) | v39(constB39) | v1(constB39)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24497,plain,
% 7.18/5.44 ((~((~v39(constB39)) <=> v1(constB39))) | v39(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24496, 3307])).
% 7.18/5.44 tff(24498,plain,
% 7.18/5.44 (v39(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24497, 24495])).
% 7.18/5.44 tff(24499,plain,
% 7.18/5.44 ((~((~v39(constB39)) | (~v9(constB39)))) | (~v39(constB39)) | (~v9(constB39))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24500,plain,
% 7.18/5.44 ((~((~v39(constB39)) | (~v9(constB39)))) | (~v9(constB39))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24499, 24498])).
% 7.18/5.44 tff(24501,plain,
% 7.18/5.44 (~((~v39(constB39)) | (~v9(constB39)))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24500, 24493])).
% 7.18/5.44 tff(24502,plain,
% 7.18/5.44 ((~(v185(constB39) <=> (~((~v39(constB39)) | (~v9(constB39)))))) | v185(constB39) | ((~v39(constB39)) | (~v9(constB39)))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24503,plain,
% 7.18/5.44 (v185(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24502, 24501, 24453])).
% 7.18/5.44 tff(24504,plain,
% 7.18/5.44 ((v185(constB39) | v26(constB39)) | (~v185(constB39))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24505,plain,
% 7.18/5.44 (v185(constB39) | v26(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24504, 24503])).
% 7.18/5.44 tff(24506,plain,
% 7.18/5.44 ((~(v195(constB39) <=> (v185(constB39) | v26(constB39)))) | v195(constB39) | (~(v185(constB39) | v26(constB39)))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24507,plain,
% 7.18/5.44 (v195(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24506, 24505, 24451])).
% 7.18/5.44 tff(24508,plain,
% 7.18/5.44 ((~((~v194(constB39)) <=> v195(constB39))) | (~v194(constB39)) | (~v195(constB39))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24509,plain,
% 7.18/5.44 (~v194(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24508, 24507, 24449])).
% 7.18/5.44 tff(24510,plain,
% 7.18/5.44 (((~v157(constB39)) | (~v194(constB39))) | v194(constB39)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24511,plain,
% 7.18/5.44 ((~v157(constB39)) | (~v194(constB39))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24510, 24509])).
% 7.18/5.44 tff(24512,plain,
% 7.18/5.44 ((~(v193(constB39) <=> (~((~v157(constB39)) | (~v194(constB39)))))) | (~v193(constB39)) | (~((~v157(constB39)) | (~v194(constB39))))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24513,plain,
% 7.18/5.44 (~v193(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24512, 24511, 24447])).
% 7.18/5.44 tff(24514,plain,
% 7.18/5.44 ((~(v193(constB39) | v196(constB39))) | v193(constB39) | v196(constB39)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24515,plain,
% 7.18/5.44 (~(v193(constB39) | v196(constB39))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24514, 24513, 24440])).
% 7.18/5.44 tff(24516,plain,
% 7.18/5.44 ((~(v190(constB39) <=> (v193(constB39) | v196(constB39)))) | (~v190(constB39)) | (v193(constB39) | v196(constB39))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24517,plain,
% 7.18/5.44 (~v190(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24516, 24515, 24429])).
% 7.18/5.44 tff(24518,plain,
% 7.18/5.44 ((~(v192(constB40) <=> v190(constB39))) | (~v192(constB40)) | v190(constB39)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24519,plain,
% 7.18/5.44 (~v192(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24518, 24517, 24427])).
% 7.18/5.44 tff(24520,plain,
% 7.18/5.44 ((~(v157(constB40) <=> v192(constB40))) | (~v157(constB40)) | v192(constB40)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24521,plain,
% 7.18/5.44 (~v157(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24520, 24519, 24423])).
% 7.18/5.44 tff(24522,plain,
% 7.18/5.44 (((~v157(constB40)) | (~v194(constB40))) | v157(constB40)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24523,plain,
% 7.18/5.44 ((~v157(constB40)) | (~v194(constB40))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24522, 24521])).
% 7.18/5.44 tff(24524,plain,
% 7.18/5.44 ((~(v193(constB40) <=> (~((~v157(constB40)) | (~v194(constB40)))))) | (~v193(constB40)) | (~((~v157(constB40)) | (~v194(constB40))))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24525,plain,
% 7.18/5.44 (~v193(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24524, 24523, 24421])).
% 7.18/5.44 tff(24526,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB40) <=> (~((~v159(constB40)) | (~v194(constB40)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB40) <=> (~((~v159(constB40)) | (~v194(constB40))))))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24527,plain,
% 7.18/5.44 ((v196(constB40) <=> (~((~v194(constB40)) | (~v159(constB40))))) <=> (v196(constB40) <=> (~((~v159(constB40)) | (~v194(constB40)))))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24528,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB40) <=> (~((~v194(constB40)) | (~v159(constB40)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB40) <=> (~((~v159(constB40)) | (~v194(constB40))))))),
% 7.18/5.44 inference(monotonicity,[status(thm)],[24527])).
% 7.18/5.44 tff(24529,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB40) <=> (~((~v194(constB40)) | (~v159(constB40)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB40) <=> (~((~v159(constB40)) | (~v194(constB40))))))),
% 7.18/5.44 inference(transitivity,[status(thm)],[24528, 24526])).
% 7.18/5.44 tff(24530,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB40) <=> (~((~v194(constB40)) | (~v159(constB40)))))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24531,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB40) <=> (~((~v159(constB40)) | (~v194(constB40)))))),
% 7.18/5.44 inference(modus_ponens,[status(thm)],[24530, 24529])).
% 7.18/5.44 tff(24532,plain,
% 7.18/5.44 (v196(constB40) <=> (~((~v159(constB40)) | (~v194(constB40))))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24531, 15467])).
% 7.18/5.44 tff(24533,plain,
% 7.18/5.44 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB40) <=> v182(constB40))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24534,plain,
% 7.18/5.44 (v159(constB40) <=> v182(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24533, 15113])).
% 7.18/5.44 tff(24535,plain,
% 7.18/5.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB39, constB40)) | (v182(constB40) <=> v180(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB39, constB40)) | (v182(constB40) <=> v180(constB39)))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24536,plain,
% 7.18/5.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB39, constB40)) | (v182(constB40) <=> v180(constB39)))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24537,plain,
% 7.18/5.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB39, constB40)) | (v182(constB40) <=> v180(constB39))),
% 7.18/5.44 inference(modus_ponens,[status(thm)],[24536, 24535])).
% 7.18/5.44 tff(24538,plain,
% 7.18/5.44 (v182(constB40) <=> v180(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24537, 3263, 15125])).
% 7.18/5.44 tff(24539,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB39) <=> (~((~v183(constB39)) | (~v184(constB39)))))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24540,plain,
% 7.18/5.44 (v180(constB39) <=> (~((~v183(constB39)) | (~v184(constB39))))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24539, 15139])).
% 7.18/5.44 tff(24541,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB39) <=> (~((~v185(constB39)) | (~v161(constB39)))))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24542,plain,
% 7.18/5.44 (v184(constB39) <=> (~((~v185(constB39)) | (~v161(constB39))))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24541, 15151])).
% 7.18/5.44 tff(24543,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB39) <=> v163(constB39))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24544,plain,
% 7.18/5.44 (v161(constB39) <=> v163(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24543, 15701])).
% 7.18/5.44 tff(24545,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB39) <=> (v145(constB39) | v167(constB39)))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24546,plain,
% 7.18/5.44 (v166(constB39) <=> (v145(constB39) | v167(constB39))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24545, 15713])).
% 7.18/5.44 tff(24547,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB39) <=> (v142(constB39) | v168(constB39)))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24548,plain,
% 7.18/5.44 (v167(constB39) <=> (v142(constB39) | v168(constB39))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24547, 15725])).
% 7.18/5.44 tff(24549,plain,
% 7.18/5.44 ((v142(constB39) | v168(constB39)) | (~v142(constB39))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24550,plain,
% 7.18/5.44 (v142(constB39) | v168(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24549, 23638])).
% 7.18/5.44 tff(24551,plain,
% 7.18/5.44 ((~(v167(constB39) <=> (v142(constB39) | v168(constB39)))) | v167(constB39) | (~(v142(constB39) | v168(constB39)))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24552,plain,
% 7.18/5.44 ((~(v167(constB39) <=> (v142(constB39) | v168(constB39)))) | v167(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24551, 24550])).
% 7.18/5.44 tff(24553,plain,
% 7.18/5.44 (v167(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24552, 24548])).
% 7.18/5.44 tff(24554,plain,
% 7.18/5.44 ((v145(constB39) | v167(constB39)) | (~v167(constB39))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24555,plain,
% 7.18/5.44 (v145(constB39) | v167(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24554, 24553])).
% 7.18/5.44 tff(24556,plain,
% 7.18/5.44 ((~(v166(constB39) <=> (v145(constB39) | v167(constB39)))) | v166(constB39) | (~(v145(constB39) | v167(constB39)))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24557,plain,
% 7.18/5.44 (v166(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24556, 24555, 24546])).
% 7.18/5.44 tff(24558,plain,
% 7.18/5.44 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB39)) | (v163(constB39) <=> v170(constB39)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB39)) | (v163(constB39) <=> v170(constB39)))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24559,plain,
% 7.18/5.44 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB39)) | (v163(constB39) <=> v170(constB39)))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24560,plain,
% 7.18/5.44 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB39)) | (v163(constB39) <=> v170(constB39))),
% 7.18/5.44 inference(modus_ponens,[status(thm)],[24559, 24558])).
% 7.18/5.44 tff(24561,plain,
% 7.18/5.44 ((~v166(constB39)) | (v163(constB39) <=> v170(constB39))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24560, 15777])).
% 7.18/5.44 tff(24562,plain,
% 7.18/5.44 (v163(constB39) <=> v170(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24561, 24557])).
% 7.18/5.44 tff(24563,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB39) <=> (~(v88(constB39, 1) | v88(constB39, 2) | (~v88(constB39, 0)))))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24564,plain,
% 7.18/5.44 (v140(constB39) <=> (~(v88(constB39, 1) | v88(constB39, 2) | (~v88(constB39, 0))))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24563, 15814])).
% 7.18/5.44 tff(24565,plain,
% 7.18/5.44 ((v88(constB39, 1) | v88(constB39, 2) | (~v88(constB39, 0))) | v88(constB39, 0)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24566,plain,
% 7.18/5.44 (v88(constB39, 1) | v88(constB39, 2) | (~v88(constB39, 0))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24565, 23626])).
% 7.18/5.44 tff(24567,plain,
% 7.18/5.44 ((~(v140(constB39) <=> (~(v88(constB39, 1) | v88(constB39, 2) | (~v88(constB39, 0)))))) | (~v140(constB39)) | (~(v88(constB39, 1) | v88(constB39, 2) | (~v88(constB39, 0))))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24568,plain,
% 7.18/5.44 (~v140(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24567, 24566, 24564])).
% 7.18/5.44 tff(24569,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB39) <=> (~(v88(constB39, 0) | v88(constB39, 1) | v88(constB39, 2))))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24570,plain,
% 7.18/5.44 (v139(constB39) <=> (~(v88(constB39, 0) | v88(constB39, 1) | v88(constB39, 2)))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24569, 15795])).
% 7.18/5.44 tff(24571,plain,
% 7.18/5.44 ((v88(constB39, 0) | v88(constB39, 1) | v88(constB39, 2)) | (~v88(constB39, 1))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24572,plain,
% 7.18/5.44 (v88(constB39, 0) | v88(constB39, 1) | v88(constB39, 2)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24571, 23630])).
% 7.18/5.44 tff(24573,plain,
% 7.18/5.44 ((~(v139(constB39) <=> (~(v88(constB39, 0) | v88(constB39, 1) | v88(constB39, 2))))) | (~v139(constB39)) | (~(v88(constB39, 0) | v88(constB39, 1) | v88(constB39, 2)))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24574,plain,
% 7.18/5.44 (~v139(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24573, 24572, 24570])).
% 7.18/5.44 tff(24575,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB39) | v139(constB39) | (~v170(constB39)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB39) | v139(constB39) | (~v170(constB39)))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24576,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB39) | v139(constB39) | (~v170(constB39)))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24577,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB39) | v139(constB39) | (~v170(constB39))),
% 7.18/5.44 inference(modus_ponens,[status(thm)],[24576, 24575])).
% 7.18/5.44 tff(24578,plain,
% 7.18/5.44 (v140(constB39) | v139(constB39) | (~v170(constB39))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24577, 15833])).
% 7.18/5.44 tff(24579,plain,
% 7.18/5.44 (~v170(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24578, 24574, 24568])).
% 7.18/5.44 tff(24580,plain,
% 7.18/5.44 ((~(v163(constB39) <=> v170(constB39))) | (~v163(constB39)) | v170(constB39)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24581,plain,
% 7.18/5.44 ((~(v163(constB39) <=> v170(constB39))) | (~v163(constB39))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24580, 24579])).
% 7.18/5.44 tff(24582,plain,
% 7.18/5.44 (~v163(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24581, 24562])).
% 7.18/5.44 tff(24583,plain,
% 7.18/5.44 ((~(v161(constB39) <=> v163(constB39))) | (~v161(constB39)) | v163(constB39)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24584,plain,
% 7.18/5.44 ((~(v161(constB39) <=> v163(constB39))) | (~v161(constB39))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24583, 24582])).
% 7.18/5.44 tff(24585,plain,
% 7.18/5.44 (~v161(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24584, 24544])).
% 7.18/5.44 tff(24586,plain,
% 7.18/5.44 (((~v185(constB39)) | (~v161(constB39))) | v161(constB39)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24587,plain,
% 7.18/5.44 ((~v185(constB39)) | (~v161(constB39))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24586, 24585])).
% 7.18/5.44 tff(24588,plain,
% 7.18/5.44 ((~(v184(constB39) <=> (~((~v185(constB39)) | (~v161(constB39)))))) | (~v184(constB39)) | (~((~v185(constB39)) | (~v161(constB39))))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24589,plain,
% 7.18/5.44 (~v184(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24588, 24587, 24542])).
% 7.18/5.44 tff(24590,plain,
% 7.18/5.44 (((~v183(constB39)) | (~v184(constB39))) | v184(constB39)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24591,plain,
% 7.18/5.44 ((~v183(constB39)) | (~v184(constB39))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24590, 24589])).
% 7.18/5.44 tff(24592,plain,
% 7.18/5.44 ((~(v180(constB39) <=> (~((~v183(constB39)) | (~v184(constB39)))))) | (~v180(constB39)) | (~((~v183(constB39)) | (~v184(constB39))))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24593,plain,
% 7.18/5.44 (~v180(constB39)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24592, 24591, 24540])).
% 7.18/5.44 tff(24594,plain,
% 7.18/5.44 ((~(v182(constB40) <=> v180(constB39))) | (~v182(constB40)) | v180(constB39)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24595,plain,
% 7.18/5.44 (~v182(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24594, 24593, 24538])).
% 7.18/5.44 tff(24596,plain,
% 7.18/5.44 ((~(v159(constB40) <=> v182(constB40))) | (~v159(constB40)) | v182(constB40)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24597,plain,
% 7.18/5.44 (~v159(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24596, 24595, 24534])).
% 7.18/5.44 tff(24598,plain,
% 7.18/5.44 (((~v159(constB40)) | (~v194(constB40))) | v159(constB40)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24599,plain,
% 7.18/5.44 ((~v159(constB40)) | (~v194(constB40))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24598, 24597])).
% 7.18/5.44 tff(24600,plain,
% 7.18/5.44 ((~(v196(constB40) <=> (~((~v159(constB40)) | (~v194(constB40)))))) | (~v196(constB40)) | (~((~v159(constB40)) | (~v194(constB40))))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24601,plain,
% 7.18/5.44 (~v196(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24600, 24599, 24532])).
% 7.18/5.44 tff(24602,plain,
% 7.18/5.44 ((~(v193(constB40) | v196(constB40))) | v193(constB40) | v196(constB40)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24603,plain,
% 7.18/5.44 (~(v193(constB40) | v196(constB40))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24602, 24601, 24525])).
% 7.18/5.44 tff(24604,plain,
% 7.18/5.44 ((~(v190(constB40) <=> (v193(constB40) | v196(constB40)))) | (~v190(constB40)) | (v193(constB40) | v196(constB40))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24605,plain,
% 7.18/5.44 (~v190(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24604, 24603, 24414])).
% 7.18/5.44 tff(24606,plain,
% 7.18/5.44 ((~(v192(constB41) <=> v190(constB40))) | (~v192(constB41)) | v190(constB40)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24607,plain,
% 7.18/5.44 (~v192(constB41)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24606, 24605, 24412])).
% 7.18/5.44 tff(24608,plain,
% 7.18/5.44 ((~(v157(constB41) <=> v192(constB41))) | (~v157(constB41)) | v192(constB41)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24609,plain,
% 7.18/5.44 (~v157(constB41)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24608, 24607, 24408])).
% 7.18/5.44 tff(24610,plain,
% 7.18/5.44 (((~v157(constB41)) | (~v202(constB41))) | v157(constB41)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24611,plain,
% 7.18/5.44 ((~v157(constB41)) | (~v202(constB41))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24610, 24609])).
% 7.18/5.44 tff(24612,plain,
% 7.18/5.44 ((~(v201(constB41) <=> (~((~v157(constB41)) | (~v202(constB41)))))) | (~v201(constB41)) | (~((~v157(constB41)) | (~v202(constB41))))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24613,plain,
% 7.18/5.44 (~v201(constB41)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24612, 24611, 24406])).
% 7.18/5.44 tff(24614,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB41) <=> (~((~v159(constB41)) | (~v202(constB41)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB41) <=> (~((~v159(constB41)) | (~v202(constB41))))))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24615,plain,
% 7.18/5.44 ((v205(constB41) <=> (~((~v202(constB41)) | (~v159(constB41))))) <=> (v205(constB41) <=> (~((~v159(constB41)) | (~v202(constB41)))))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24616,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB41) <=> (~((~v202(constB41)) | (~v159(constB41)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB41) <=> (~((~v159(constB41)) | (~v202(constB41))))))),
% 7.18/5.44 inference(monotonicity,[status(thm)],[24615])).
% 7.18/5.44 tff(24617,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB41) <=> (~((~v202(constB41)) | (~v159(constB41)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB41) <=> (~((~v159(constB41)) | (~v202(constB41))))))),
% 7.18/5.44 inference(transitivity,[status(thm)],[24616, 24614])).
% 7.18/5.44 tff(24618,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB41) <=> (~((~v202(constB41)) | (~v159(constB41)))))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24619,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB41) <=> (~((~v159(constB41)) | (~v202(constB41)))))),
% 7.18/5.44 inference(modus_ponens,[status(thm)],[24618, 24617])).
% 7.18/5.44 tff(24620,plain,
% 7.18/5.44 (v205(constB41) <=> (~((~v159(constB41)) | (~v202(constB41))))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24619, 138])).
% 7.18/5.44 tff(24621,plain,
% 7.18/5.44 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB41) <=> v182(constB41))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24622,plain,
% 7.18/5.44 (v159(constB41) <=> v182(constB41)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24621, 15113])).
% 7.18/5.44 tff(24623,plain,
% 7.18/5.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB40, constB41)) | (v182(constB41) <=> v180(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB40, constB41)) | (v182(constB41) <=> v180(constB40)))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24624,plain,
% 7.18/5.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB40, constB41)) | (v182(constB41) <=> v180(constB40)))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24625,plain,
% 7.18/5.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB40, constB41)) | (v182(constB41) <=> v180(constB40))),
% 7.18/5.44 inference(modus_ponens,[status(thm)],[24624, 24623])).
% 7.18/5.44 tff(24626,plain,
% 7.18/5.44 (v182(constB41) <=> v180(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24625, 3227, 15125])).
% 7.18/5.44 tff(24627,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB40) <=> (~((~v183(constB40)) | (~v184(constB40)))))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24628,plain,
% 7.18/5.44 (v180(constB40) <=> (~((~v183(constB40)) | (~v184(constB40))))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24627, 15139])).
% 7.18/5.44 tff(24629,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB40) <=> (~((~v185(constB40)) | (~v161(constB40)))))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24630,plain,
% 7.18/5.44 (v184(constB40) <=> (~((~v185(constB40)) | (~v161(constB40))))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24629, 15151])).
% 7.18/5.44 tff(24631,plain,
% 7.18/5.44 (((~v185(constB40)) | (~v161(constB40))) | v185(constB40)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24632,plain,
% 7.18/5.44 ((~v185(constB40)) | (~v161(constB40))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24631, 23893])).
% 7.18/5.44 tff(24633,plain,
% 7.18/5.44 ((~(v184(constB40) <=> (~((~v185(constB40)) | (~v161(constB40)))))) | (~v184(constB40)) | (~((~v185(constB40)) | (~v161(constB40))))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24634,plain,
% 7.18/5.44 ((~(v184(constB40) <=> (~((~v185(constB40)) | (~v161(constB40)))))) | (~v184(constB40))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24633, 24632])).
% 7.18/5.44 tff(24635,plain,
% 7.18/5.44 (~v184(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24634, 24630])).
% 7.18/5.44 tff(24636,plain,
% 7.18/5.44 (((~v183(constB40)) | (~v184(constB40))) | v184(constB40)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24637,plain,
% 7.18/5.44 ((~v183(constB40)) | (~v184(constB40))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24636, 24635])).
% 7.18/5.44 tff(24638,plain,
% 7.18/5.44 ((~(v180(constB40) <=> (~((~v183(constB40)) | (~v184(constB40)))))) | (~v180(constB40)) | (~((~v183(constB40)) | (~v184(constB40))))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24639,plain,
% 7.18/5.44 (~v180(constB40)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24638, 24637, 24628])).
% 7.18/5.44 tff(24640,plain,
% 7.18/5.44 ((~(v182(constB41) <=> v180(constB40))) | (~v182(constB41)) | v180(constB40)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24641,plain,
% 7.18/5.44 (~v182(constB41)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24640, 24639, 24626])).
% 7.18/5.44 tff(24642,plain,
% 7.18/5.44 ((~(v159(constB41) <=> v182(constB41))) | (~v159(constB41)) | v182(constB41)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24643,plain,
% 7.18/5.44 (~v159(constB41)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24642, 24641, 24622])).
% 7.18/5.44 tff(24644,plain,
% 7.18/5.44 (((~v159(constB41)) | (~v202(constB41))) | v159(constB41)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24645,plain,
% 7.18/5.44 ((~v159(constB41)) | (~v202(constB41))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24644, 24643])).
% 7.18/5.44 tff(24646,plain,
% 7.18/5.44 ((~(v205(constB41) <=> (~((~v159(constB41)) | (~v202(constB41)))))) | (~v205(constB41)) | (~((~v159(constB41)) | (~v202(constB41))))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24647,plain,
% 7.18/5.44 (~v205(constB41)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24646, 24645, 24620])).
% 7.18/5.44 tff(24648,plain,
% 7.18/5.44 ((~(v201(constB41) | v205(constB41))) | v201(constB41) | v205(constB41)),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24649,plain,
% 7.18/5.44 ((~(v201(constB41) | v205(constB41))) | v201(constB41)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24648, 24647])).
% 7.18/5.44 tff(24650,plain,
% 7.18/5.44 (~(v201(constB41) | v205(constB41))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24649, 24613])).
% 7.18/5.44 tff(24651,plain,
% 7.18/5.44 ((~(v200(constB41) <=> (v201(constB41) | v205(constB41)))) | (~v200(constB41)) | (v201(constB41) | v205(constB41))),
% 7.18/5.44 inference(tautology,[status(thm)],[])).
% 7.18/5.44 tff(24652,plain,
% 7.18/5.44 (~v200(constB41)),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24651, 24650, 24399])).
% 7.18/5.44 tff(24653,plain,
% 7.18/5.44 ($false),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24652, 24397])).
% 7.18/5.44 tff(24654,plain,(~(constB41 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.18/5.44 tff(24655,assumption,(constB28 = VarCurr!0), introduced(assumption)).
% 7.18/5.44 tff(24656,plain,
% 7.18/5.44 (v200(constB28) <=> v200(VarCurr!0)),
% 7.18/5.44 inference(monotonicity,[status(thm)],[24655])).
% 7.18/5.44 tff(24657,plain,
% 7.18/5.44 (v200(VarCurr!0) <=> v200(constB28)),
% 7.18/5.44 inference(symmetry,[status(thm)],[24656])).
% 7.18/5.44 tff(24658,plain,
% 7.18/5.44 (v200(constB28)),
% 7.18/5.44 inference(modus_ponens,[status(thm)],[27, 24657])).
% 7.18/5.44 tff(24659,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB28) <=> (v201(constB28) | v205(constB28)))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24660,plain,
% 7.18/5.44 (v200(constB28) <=> (v201(constB28) | v205(constB28))),
% 7.18/5.44 inference(unit_resolution,[status(thm)],[24659, 35])).
% 7.18/5.44 tff(24661,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB28) <=> (~((~v157(constB28)) | (~v202(constB28)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB28) <=> (~((~v157(constB28)) | (~v202(constB28))))))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24662,plain,
% 7.18/5.44 ((v201(constB28) <=> (~((~v202(constB28)) | (~v157(constB28))))) <=> (v201(constB28) <=> (~((~v157(constB28)) | (~v202(constB28)))))),
% 7.18/5.44 inference(rewrite,[status(thm)],[])).
% 7.18/5.44 tff(24663,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB28) <=> (~((~v202(constB28)) | (~v157(constB28)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB28) <=> (~((~v157(constB28)) | (~v202(constB28))))))),
% 7.18/5.44 inference(monotonicity,[status(thm)],[24662])).
% 7.18/5.44 tff(24664,plain,
% 7.18/5.44 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB28) <=> (~((~v202(constB28)) | (~v157(constB28)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB28) <=> (~((~v157(constB28)) | (~v202(constB28))))))),
% 7.18/5.44 inference(transitivity,[status(thm)],[24663, 24661])).
% 7.18/5.44 tff(24665,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB28) <=> (~((~v202(constB28)) | (~v157(constB28)))))),
% 7.18/5.44 inference(quant_inst,[status(thm)],[])).
% 7.18/5.44 tff(24666,plain,
% 7.18/5.44 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB28) <=> (~((~v157(constB28)) | (~v202(constB28)))))),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[24665, 24664])).
% 7.26/5.45 tff(24667,plain,
% 7.26/5.45 (v201(constB28) <=> (~((~v157(constB28)) | (~v202(constB28))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24666, 47])).
% 7.26/5.45 tff(24668,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB28) <=> (~((~v183(constB28)) | (~v203(constB28)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24669,plain,
% 7.26/5.45 (v202(constB28) <=> (~((~v183(constB28)) | (~v203(constB28))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24668, 64])).
% 7.26/5.45 tff(24670,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB28) <=> (~((~v185(constB28)) | (~v204(constB28)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB28) <=> (~((~v185(constB28)) | (~v204(constB28))))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24671,plain,
% 7.26/5.45 ((v203(constB28) <=> (~((~v204(constB28)) | (~v185(constB28))))) <=> (v203(constB28) <=> (~((~v185(constB28)) | (~v204(constB28)))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24672,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB28) <=> (~((~v204(constB28)) | (~v185(constB28)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB28) <=> (~((~v185(constB28)) | (~v204(constB28))))))),
% 7.26/5.45 inference(monotonicity,[status(thm)],[24671])).
% 7.26/5.45 tff(24673,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB28) <=> (~((~v204(constB28)) | (~v185(constB28)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB28) <=> (~((~v185(constB28)) | (~v204(constB28))))))),
% 7.26/5.45 inference(transitivity,[status(thm)],[24672, 24670])).
% 7.26/5.45 tff(24674,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB28) <=> (~((~v204(constB28)) | (~v185(constB28)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24675,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB28) <=> (~((~v185(constB28)) | (~v204(constB28)))))),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[24674, 24673])).
% 7.26/5.45 tff(24676,plain,
% 7.26/5.45 (v203(constB28) <=> (~((~v185(constB28)) | (~v204(constB28))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24675, 76])).
% 7.26/5.45 tff(24677,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB28) <=> (~((~v39(constB28)) | (~v9(constB28)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24678,plain,
% 7.26/5.45 (v185(constB28) <=> (~((~v39(constB28)) | (~v9(constB28))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24677, 93])).
% 7.26/5.45 tff(24679,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB28)) <=> v1(constB28))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24680,plain,
% 7.26/5.45 ((~v39(constB28)) <=> v1(constB28)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24679, 102])).
% 7.26/5.45 tff(24681,plain,
% 7.26/5.45 ((~((~v39(constB28)) <=> v1(constB28))) | (~v39(constB28)) | (~v1(constB28))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24682,plain,
% 7.26/5.45 ((~((~v39(constB28)) <=> v1(constB28))) | (~v39(constB28))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24681, 6912])).
% 7.26/5.45 tff(24683,plain,
% 7.26/5.45 (~v39(constB28)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24682, 24680])).
% 7.26/5.45 tff(24684,plain,
% 7.26/5.45 (((~v39(constB28)) | (~v9(constB28))) | v39(constB28)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24685,plain,
% 7.26/5.45 ((~v39(constB28)) | (~v9(constB28))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24684, 24683])).
% 7.26/5.45 tff(24686,plain,
% 7.26/5.45 ((~(v185(constB28) <=> (~((~v39(constB28)) | (~v9(constB28)))))) | (~v185(constB28)) | (~((~v39(constB28)) | (~v9(constB28))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24687,plain,
% 7.26/5.45 ((~(v185(constB28) <=> (~((~v39(constB28)) | (~v9(constB28)))))) | (~v185(constB28))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24686, 24685])).
% 7.26/5.45 tff(24688,plain,
% 7.26/5.45 (~v185(constB28)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24687, 24678])).
% 7.26/5.45 tff(24689,plain,
% 7.26/5.45 (((~v185(constB28)) | (~v204(constB28))) | v185(constB28)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24690,plain,
% 7.26/5.45 ((~v185(constB28)) | (~v204(constB28))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24689, 24688])).
% 7.26/5.45 tff(24691,plain,
% 7.26/5.45 ((~(v203(constB28) <=> (~((~v185(constB28)) | (~v204(constB28)))))) | (~v203(constB28)) | (~((~v185(constB28)) | (~v204(constB28))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24692,plain,
% 7.26/5.45 ((~(v203(constB28) <=> (~((~v185(constB28)) | (~v204(constB28)))))) | (~v203(constB28))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24691, 24690])).
% 7.26/5.45 tff(24693,plain,
% 7.26/5.45 (~v203(constB28)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24692, 24676])).
% 7.26/5.45 tff(24694,plain,
% 7.26/5.45 (((~v183(constB28)) | (~v203(constB28))) | v203(constB28)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24695,plain,
% 7.26/5.45 ((~v183(constB28)) | (~v203(constB28))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24694, 24693])).
% 7.26/5.45 tff(24696,plain,
% 7.26/5.45 ((~(v202(constB28) <=> (~((~v183(constB28)) | (~v203(constB28)))))) | (~v202(constB28)) | (~((~v183(constB28)) | (~v203(constB28))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24697,plain,
% 7.26/5.45 (~v202(constB28)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24696, 24695, 24669])).
% 7.26/5.45 tff(24698,plain,
% 7.26/5.45 (((~v157(constB28)) | (~v202(constB28))) | v202(constB28)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24699,plain,
% 7.26/5.45 ((~v157(constB28)) | (~v202(constB28))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24698, 24697])).
% 7.26/5.45 tff(24700,plain,
% 7.26/5.45 ((~(v201(constB28) <=> (~((~v157(constB28)) | (~v202(constB28)))))) | (~v201(constB28)) | (~((~v157(constB28)) | (~v202(constB28))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24701,plain,
% 7.26/5.45 (~v201(constB28)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24700, 24699, 24667])).
% 7.26/5.45 tff(24702,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB28) <=> (~((~v159(constB28)) | (~v202(constB28)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB28) <=> (~((~v159(constB28)) | (~v202(constB28))))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24703,plain,
% 7.26/5.45 ((v205(constB28) <=> (~((~v202(constB28)) | (~v159(constB28))))) <=> (v205(constB28) <=> (~((~v159(constB28)) | (~v202(constB28)))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24704,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB28) <=> (~((~v202(constB28)) | (~v159(constB28)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB28) <=> (~((~v159(constB28)) | (~v202(constB28))))))),
% 7.26/5.45 inference(monotonicity,[status(thm)],[24703])).
% 7.26/5.45 tff(24705,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB28) <=> (~((~v202(constB28)) | (~v159(constB28)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB28) <=> (~((~v159(constB28)) | (~v202(constB28))))))),
% 7.26/5.45 inference(transitivity,[status(thm)],[24704, 24702])).
% 7.26/5.45 tff(24706,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB28) <=> (~((~v202(constB28)) | (~v159(constB28)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24707,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB28) <=> (~((~v159(constB28)) | (~v202(constB28)))))),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[24706, 24705])).
% 7.26/5.45 tff(24708,plain,
% 7.26/5.45 (v205(constB28) <=> (~((~v159(constB28)) | (~v202(constB28))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24707, 138])).
% 7.26/5.45 tff(24709,plain,
% 7.26/5.45 (((~v159(constB28)) | (~v202(constB28))) | v202(constB28)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24710,plain,
% 7.26/5.45 ((~v159(constB28)) | (~v202(constB28))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24709, 24697])).
% 7.26/5.45 tff(24711,plain,
% 7.26/5.45 ((~(v205(constB28) <=> (~((~v159(constB28)) | (~v202(constB28)))))) | (~v205(constB28)) | (~((~v159(constB28)) | (~v202(constB28))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24712,plain,
% 7.26/5.45 (~v205(constB28)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24711, 24710, 24708])).
% 7.26/5.45 tff(24713,plain,
% 7.26/5.45 ((~(v201(constB28) | v205(constB28))) | v201(constB28) | v205(constB28)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24714,plain,
% 7.26/5.45 (~(v201(constB28) | v205(constB28))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24713, 24712, 24701])).
% 7.26/5.45 tff(24715,plain,
% 7.26/5.45 ((~(v200(constB28) <=> (v201(constB28) | v205(constB28)))) | (~v200(constB28)) | (v201(constB28) | v205(constB28))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24716,plain,
% 7.26/5.45 ((~(v200(constB28) <=> (v201(constB28) | v205(constB28)))) | (~v200(constB28))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24715, 24714])).
% 7.26/5.45 tff(24717,plain,
% 7.26/5.45 (~v200(constB28)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24716, 24660])).
% 7.26/5.45 tff(24718,plain,
% 7.26/5.45 ($false),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24717, 24658])).
% 7.26/5.45 tff(24719,plain,(~(constB28 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.26/5.45 tff(24720,assumption,(constB42 = VarCurr!0), introduced(assumption)).
% 7.26/5.45 tff(24721,plain,
% 7.26/5.45 (v200(constB42) <=> v200(VarCurr!0)),
% 7.26/5.45 inference(monotonicity,[status(thm)],[24720])).
% 7.26/5.45 tff(24722,plain,
% 7.26/5.45 (v200(VarCurr!0) <=> v200(constB42)),
% 7.26/5.45 inference(symmetry,[status(thm)],[24721])).
% 7.26/5.45 tff(24723,plain,
% 7.26/5.45 (v200(constB42)),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[27, 24722])).
% 7.26/5.45 tff(24724,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB42) <=> (v201(constB42) | v205(constB42)))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24725,plain,
% 7.26/5.45 (v200(constB42) <=> (v201(constB42) | v205(constB42))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24724, 35])).
% 7.26/5.45 tff(24726,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB42) <=> (~((~v157(constB42)) | (~v202(constB42)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB42) <=> (~((~v157(constB42)) | (~v202(constB42))))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24727,plain,
% 7.26/5.45 ((v201(constB42) <=> (~((~v202(constB42)) | (~v157(constB42))))) <=> (v201(constB42) <=> (~((~v157(constB42)) | (~v202(constB42)))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24728,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB42) <=> (~((~v202(constB42)) | (~v157(constB42)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB42) <=> (~((~v157(constB42)) | (~v202(constB42))))))),
% 7.26/5.45 inference(monotonicity,[status(thm)],[24727])).
% 7.26/5.45 tff(24729,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB42) <=> (~((~v202(constB42)) | (~v157(constB42)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB42) <=> (~((~v157(constB42)) | (~v202(constB42))))))),
% 7.26/5.45 inference(transitivity,[status(thm)],[24728, 24726])).
% 7.26/5.45 tff(24730,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB42) <=> (~((~v202(constB42)) | (~v157(constB42)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24731,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB42) <=> (~((~v157(constB42)) | (~v202(constB42)))))),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[24730, 24729])).
% 7.26/5.45 tff(24732,plain,
% 7.26/5.45 (v201(constB42) <=> (~((~v157(constB42)) | (~v202(constB42))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24731, 47])).
% 7.26/5.45 tff(24733,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB42) <=> (~((~v183(constB42)) | (~v203(constB42)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24734,plain,
% 7.26/5.45 (v202(constB42) <=> (~((~v183(constB42)) | (~v203(constB42))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24733, 64])).
% 7.26/5.45 tff(24735,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB42) <=> (~((~v185(constB42)) | (~v204(constB42)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB42) <=> (~((~v185(constB42)) | (~v204(constB42))))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24736,plain,
% 7.26/5.45 ((v203(constB42) <=> (~((~v204(constB42)) | (~v185(constB42))))) <=> (v203(constB42) <=> (~((~v185(constB42)) | (~v204(constB42)))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24737,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB42) <=> (~((~v204(constB42)) | (~v185(constB42)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB42) <=> (~((~v185(constB42)) | (~v204(constB42))))))),
% 7.26/5.45 inference(monotonicity,[status(thm)],[24736])).
% 7.26/5.45 tff(24738,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB42) <=> (~((~v204(constB42)) | (~v185(constB42)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB42) <=> (~((~v185(constB42)) | (~v204(constB42))))))),
% 7.26/5.45 inference(transitivity,[status(thm)],[24737, 24735])).
% 7.26/5.45 tff(24739,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB42) <=> (~((~v204(constB42)) | (~v185(constB42)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24740,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB42) <=> (~((~v185(constB42)) | (~v204(constB42)))))),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[24739, 24738])).
% 7.26/5.45 tff(24741,plain,
% 7.26/5.45 (v203(constB42) <=> (~((~v185(constB42)) | (~v204(constB42))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24740, 76])).
% 7.26/5.45 tff(24742,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24743,plain,
% 7.26/5.45 (v185(constB42) <=> (~((~v39(constB42)) | (~v9(constB42))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24742, 93])).
% 7.26/5.45 tff(24744,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB42)) <=> v1(constB42))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24745,plain,
% 7.26/5.45 ((~v39(constB42)) <=> v1(constB42)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24744, 102])).
% 7.26/5.45 tff(24746,plain,
% 7.26/5.45 ((~((~v39(constB42)) <=> v1(constB42))) | (~v39(constB42)) | (~v1(constB42))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24747,plain,
% 7.26/5.45 ((~((~v39(constB42)) <=> v1(constB42))) | (~v39(constB42))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24746, 8026])).
% 7.26/5.45 tff(24748,plain,
% 7.26/5.45 (~v39(constB42)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24747, 24745])).
% 7.26/5.45 tff(24749,plain,
% 7.26/5.45 (((~v39(constB42)) | (~v9(constB42))) | v39(constB42)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24750,plain,
% 7.26/5.45 ((~v39(constB42)) | (~v9(constB42))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24749, 24748])).
% 7.26/5.45 tff(24751,plain,
% 7.26/5.45 ((~(v185(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))) | (~v185(constB42)) | (~((~v39(constB42)) | (~v9(constB42))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24752,plain,
% 7.26/5.45 ((~(v185(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))) | (~v185(constB42))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24751, 24750])).
% 7.26/5.45 tff(24753,plain,
% 7.26/5.45 (~v185(constB42)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24752, 24743])).
% 7.26/5.45 tff(24754,plain,
% 7.26/5.45 (((~v185(constB42)) | (~v204(constB42))) | v185(constB42)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24755,plain,
% 7.26/5.45 ((~v185(constB42)) | (~v204(constB42))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24754, 24753])).
% 7.26/5.45 tff(24756,plain,
% 7.26/5.45 ((~(v203(constB42) <=> (~((~v185(constB42)) | (~v204(constB42)))))) | (~v203(constB42)) | (~((~v185(constB42)) | (~v204(constB42))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24757,plain,
% 7.26/5.45 ((~(v203(constB42) <=> (~((~v185(constB42)) | (~v204(constB42)))))) | (~v203(constB42))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24756, 24755])).
% 7.26/5.45 tff(24758,plain,
% 7.26/5.45 (~v203(constB42)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24757, 24741])).
% 7.26/5.45 tff(24759,plain,
% 7.26/5.45 (((~v183(constB42)) | (~v203(constB42))) | v203(constB42)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24760,plain,
% 7.26/5.45 ((~v183(constB42)) | (~v203(constB42))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24759, 24758])).
% 7.26/5.45 tff(24761,plain,
% 7.26/5.45 ((~(v202(constB42) <=> (~((~v183(constB42)) | (~v203(constB42)))))) | (~v202(constB42)) | (~((~v183(constB42)) | (~v203(constB42))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24762,plain,
% 7.26/5.45 (~v202(constB42)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24761, 24760, 24734])).
% 7.26/5.45 tff(24763,plain,
% 7.26/5.45 (((~v157(constB42)) | (~v202(constB42))) | v202(constB42)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24764,plain,
% 7.26/5.45 ((~v157(constB42)) | (~v202(constB42))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24763, 24762])).
% 7.26/5.45 tff(24765,plain,
% 7.26/5.45 ((~(v201(constB42) <=> (~((~v157(constB42)) | (~v202(constB42)))))) | (~v201(constB42)) | (~((~v157(constB42)) | (~v202(constB42))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24766,plain,
% 7.26/5.45 (~v201(constB42)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24765, 24764, 24732])).
% 7.26/5.45 tff(24767,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB42) <=> (~((~v159(constB42)) | (~v202(constB42)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB42) <=> (~((~v159(constB42)) | (~v202(constB42))))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24768,plain,
% 7.26/5.45 ((v205(constB42) <=> (~((~v202(constB42)) | (~v159(constB42))))) <=> (v205(constB42) <=> (~((~v159(constB42)) | (~v202(constB42)))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24769,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB42) <=> (~((~v202(constB42)) | (~v159(constB42)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB42) <=> (~((~v159(constB42)) | (~v202(constB42))))))),
% 7.26/5.45 inference(monotonicity,[status(thm)],[24768])).
% 7.26/5.45 tff(24770,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB42) <=> (~((~v202(constB42)) | (~v159(constB42)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB42) <=> (~((~v159(constB42)) | (~v202(constB42))))))),
% 7.26/5.45 inference(transitivity,[status(thm)],[24769, 24767])).
% 7.26/5.45 tff(24771,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB42) <=> (~((~v202(constB42)) | (~v159(constB42)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24772,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB42) <=> (~((~v159(constB42)) | (~v202(constB42)))))),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[24771, 24770])).
% 7.26/5.45 tff(24773,plain,
% 7.26/5.45 (v205(constB42) <=> (~((~v159(constB42)) | (~v202(constB42))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24772, 138])).
% 7.26/5.45 tff(24774,plain,
% 7.26/5.45 (((~v159(constB42)) | (~v202(constB42))) | v202(constB42)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24775,plain,
% 7.26/5.45 ((~v159(constB42)) | (~v202(constB42))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24774, 24762])).
% 7.26/5.45 tff(24776,plain,
% 7.26/5.45 ((~(v205(constB42) <=> (~((~v159(constB42)) | (~v202(constB42)))))) | (~v205(constB42)) | (~((~v159(constB42)) | (~v202(constB42))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24777,plain,
% 7.26/5.45 (~v205(constB42)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24776, 24775, 24773])).
% 7.26/5.45 tff(24778,plain,
% 7.26/5.45 ((~(v201(constB42) | v205(constB42))) | v201(constB42) | v205(constB42)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24779,plain,
% 7.26/5.45 (~(v201(constB42) | v205(constB42))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24778, 24777, 24766])).
% 7.26/5.45 tff(24780,plain,
% 7.26/5.45 ((~(v200(constB42) <=> (v201(constB42) | v205(constB42)))) | (~v200(constB42)) | (v201(constB42) | v205(constB42))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24781,plain,
% 7.26/5.45 ((~(v200(constB42) <=> (v201(constB42) | v205(constB42)))) | (~v200(constB42))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24780, 24779])).
% 7.26/5.45 tff(24782,plain,
% 7.26/5.45 (~v200(constB42)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24781, 24725])).
% 7.26/5.45 tff(24783,plain,
% 7.26/5.45 ($false),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24782, 24723])).
% 7.26/5.45 tff(24784,plain,(~(constB42 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.26/5.45 tff(24785,assumption,(constB54 = VarCurr!0), introduced(assumption)).
% 7.26/5.45 tff(24786,plain,
% 7.26/5.45 (v200(constB54) <=> v200(VarCurr!0)),
% 7.26/5.45 inference(monotonicity,[status(thm)],[24785])).
% 7.26/5.45 tff(24787,plain,
% 7.26/5.45 (v200(VarCurr!0) <=> v200(constB54)),
% 7.26/5.45 inference(symmetry,[status(thm)],[24786])).
% 7.26/5.45 tff(24788,plain,
% 7.26/5.45 (v200(constB54)),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[27, 24787])).
% 7.26/5.45 tff(24789,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB54) <=> (v201(constB54) | v205(constB54)))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24790,plain,
% 7.26/5.45 (v200(constB54) <=> (v201(constB54) | v205(constB54))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24789, 35])).
% 7.26/5.45 tff(24791,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB54) <=> (~((~v157(constB54)) | (~v202(constB54)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB54) <=> (~((~v157(constB54)) | (~v202(constB54))))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24792,plain,
% 7.26/5.45 ((v201(constB54) <=> (~((~v202(constB54)) | (~v157(constB54))))) <=> (v201(constB54) <=> (~((~v157(constB54)) | (~v202(constB54)))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24793,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB54) <=> (~((~v202(constB54)) | (~v157(constB54)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB54) <=> (~((~v157(constB54)) | (~v202(constB54))))))),
% 7.26/5.45 inference(monotonicity,[status(thm)],[24792])).
% 7.26/5.45 tff(24794,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB54) <=> (~((~v202(constB54)) | (~v157(constB54)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB54) <=> (~((~v157(constB54)) | (~v202(constB54))))))),
% 7.26/5.45 inference(transitivity,[status(thm)],[24793, 24791])).
% 7.26/5.45 tff(24795,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB54) <=> (~((~v202(constB54)) | (~v157(constB54)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24796,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB54) <=> (~((~v157(constB54)) | (~v202(constB54)))))),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[24795, 24794])).
% 7.26/5.45 tff(24797,plain,
% 7.26/5.45 (v201(constB54) <=> (~((~v157(constB54)) | (~v202(constB54))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24796, 47])).
% 7.26/5.45 tff(24798,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB54) <=> (~((~v183(constB54)) | (~v203(constB54)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24799,plain,
% 7.26/5.45 (v202(constB54) <=> (~((~v183(constB54)) | (~v203(constB54))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24798, 64])).
% 7.26/5.45 tff(24800,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB54) <=> (~((~v185(constB54)) | (~v204(constB54)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB54) <=> (~((~v185(constB54)) | (~v204(constB54))))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24801,plain,
% 7.26/5.45 ((v203(constB54) <=> (~((~v204(constB54)) | (~v185(constB54))))) <=> (v203(constB54) <=> (~((~v185(constB54)) | (~v204(constB54)))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24802,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB54) <=> (~((~v204(constB54)) | (~v185(constB54)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB54) <=> (~((~v185(constB54)) | (~v204(constB54))))))),
% 7.26/5.45 inference(monotonicity,[status(thm)],[24801])).
% 7.26/5.45 tff(24803,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB54) <=> (~((~v204(constB54)) | (~v185(constB54)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB54) <=> (~((~v185(constB54)) | (~v204(constB54))))))),
% 7.26/5.45 inference(transitivity,[status(thm)],[24802, 24800])).
% 7.26/5.45 tff(24804,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB54) <=> (~((~v204(constB54)) | (~v185(constB54)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24805,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB54) <=> (~((~v185(constB54)) | (~v204(constB54)))))),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[24804, 24803])).
% 7.26/5.45 tff(24806,plain,
% 7.26/5.45 (v203(constB54) <=> (~((~v185(constB54)) | (~v204(constB54))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24805, 76])).
% 7.26/5.45 tff(24807,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24808,plain,
% 7.26/5.45 (v185(constB54) <=> (~((~v39(constB54)) | (~v9(constB54))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24807, 93])).
% 7.26/5.45 tff(24809,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB54)) <=> v1(constB54))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24810,plain,
% 7.26/5.45 ((~v39(constB54)) <=> v1(constB54)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24809, 102])).
% 7.26/5.45 tff(24811,plain,
% 7.26/5.45 ((~((~v39(constB54)) <=> v1(constB54))) | (~v39(constB54)) | (~v1(constB54))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24812,plain,
% 7.26/5.45 ((~((~v39(constB54)) <=> v1(constB54))) | (~v39(constB54))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24811, 8973])).
% 7.26/5.45 tff(24813,plain,
% 7.26/5.45 (~v39(constB54)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24812, 24810])).
% 7.26/5.45 tff(24814,plain,
% 7.26/5.45 (((~v39(constB54)) | (~v9(constB54))) | v39(constB54)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24815,plain,
% 7.26/5.45 ((~v39(constB54)) | (~v9(constB54))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24814, 24813])).
% 7.26/5.45 tff(24816,plain,
% 7.26/5.45 ((~(v185(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))) | (~v185(constB54)) | (~((~v39(constB54)) | (~v9(constB54))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24817,plain,
% 7.26/5.45 ((~(v185(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))) | (~v185(constB54))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24816, 24815])).
% 7.26/5.45 tff(24818,plain,
% 7.26/5.45 (~v185(constB54)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24817, 24808])).
% 7.26/5.45 tff(24819,plain,
% 7.26/5.45 (((~v185(constB54)) | (~v204(constB54))) | v185(constB54)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24820,plain,
% 7.26/5.45 ((~v185(constB54)) | (~v204(constB54))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24819, 24818])).
% 7.26/5.45 tff(24821,plain,
% 7.26/5.45 ((~(v203(constB54) <=> (~((~v185(constB54)) | (~v204(constB54)))))) | (~v203(constB54)) | (~((~v185(constB54)) | (~v204(constB54))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24822,plain,
% 7.26/5.45 ((~(v203(constB54) <=> (~((~v185(constB54)) | (~v204(constB54)))))) | (~v203(constB54))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24821, 24820])).
% 7.26/5.45 tff(24823,plain,
% 7.26/5.45 (~v203(constB54)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24822, 24806])).
% 7.26/5.45 tff(24824,plain,
% 7.26/5.45 (((~v183(constB54)) | (~v203(constB54))) | v203(constB54)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24825,plain,
% 7.26/5.45 ((~v183(constB54)) | (~v203(constB54))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24824, 24823])).
% 7.26/5.45 tff(24826,plain,
% 7.26/5.45 ((~(v202(constB54) <=> (~((~v183(constB54)) | (~v203(constB54)))))) | (~v202(constB54)) | (~((~v183(constB54)) | (~v203(constB54))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24827,plain,
% 7.26/5.45 (~v202(constB54)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24826, 24825, 24799])).
% 7.26/5.45 tff(24828,plain,
% 7.26/5.45 (((~v157(constB54)) | (~v202(constB54))) | v202(constB54)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24829,plain,
% 7.26/5.45 ((~v157(constB54)) | (~v202(constB54))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24828, 24827])).
% 7.26/5.45 tff(24830,plain,
% 7.26/5.45 ((~(v201(constB54) <=> (~((~v157(constB54)) | (~v202(constB54)))))) | (~v201(constB54)) | (~((~v157(constB54)) | (~v202(constB54))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24831,plain,
% 7.26/5.45 (~v201(constB54)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24830, 24829, 24797])).
% 7.26/5.45 tff(24832,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB54) <=> (~((~v159(constB54)) | (~v202(constB54)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB54) <=> (~((~v159(constB54)) | (~v202(constB54))))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24833,plain,
% 7.26/5.45 ((v205(constB54) <=> (~((~v202(constB54)) | (~v159(constB54))))) <=> (v205(constB54) <=> (~((~v159(constB54)) | (~v202(constB54)))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24834,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB54) <=> (~((~v202(constB54)) | (~v159(constB54)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB54) <=> (~((~v159(constB54)) | (~v202(constB54))))))),
% 7.26/5.45 inference(monotonicity,[status(thm)],[24833])).
% 7.26/5.45 tff(24835,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB54) <=> (~((~v202(constB54)) | (~v159(constB54)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB54) <=> (~((~v159(constB54)) | (~v202(constB54))))))),
% 7.26/5.45 inference(transitivity,[status(thm)],[24834, 24832])).
% 7.26/5.45 tff(24836,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB54) <=> (~((~v202(constB54)) | (~v159(constB54)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24837,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB54) <=> (~((~v159(constB54)) | (~v202(constB54)))))),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[24836, 24835])).
% 7.26/5.45 tff(24838,plain,
% 7.26/5.45 (v205(constB54) <=> (~((~v159(constB54)) | (~v202(constB54))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24837, 138])).
% 7.26/5.45 tff(24839,plain,
% 7.26/5.45 (((~v159(constB54)) | (~v202(constB54))) | v202(constB54)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24840,plain,
% 7.26/5.45 ((~v159(constB54)) | (~v202(constB54))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24839, 24827])).
% 7.26/5.45 tff(24841,plain,
% 7.26/5.45 ((~(v205(constB54) <=> (~((~v159(constB54)) | (~v202(constB54)))))) | (~v205(constB54)) | (~((~v159(constB54)) | (~v202(constB54))))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24842,plain,
% 7.26/5.45 (~v205(constB54)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24841, 24840, 24838])).
% 7.26/5.45 tff(24843,plain,
% 7.26/5.45 ((~(v201(constB54) | v205(constB54))) | v201(constB54) | v205(constB54)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24844,plain,
% 7.26/5.45 (~(v201(constB54) | v205(constB54))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24843, 24842, 24831])).
% 7.26/5.45 tff(24845,plain,
% 7.26/5.45 ((~(v200(constB54) <=> (v201(constB54) | v205(constB54)))) | (~v200(constB54)) | (v201(constB54) | v205(constB54))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24846,plain,
% 7.26/5.45 ((~(v200(constB54) <=> (v201(constB54) | v205(constB54)))) | (~v200(constB54))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24845, 24844])).
% 7.26/5.45 tff(24847,plain,
% 7.26/5.45 (~v200(constB54)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24846, 24790])).
% 7.26/5.45 tff(24848,plain,
% 7.26/5.45 ($false),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24847, 24788])).
% 7.26/5.45 tff(24849,plain,(~(constB54 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.26/5.45 tff(24850,assumption,(constB169 = VarCurr!0), introduced(assumption)).
% 7.26/5.45 tff(24851,plain,
% 7.26/5.45 (v200(constB169) <=> v200(VarCurr!0)),
% 7.26/5.45 inference(monotonicity,[status(thm)],[24850])).
% 7.26/5.45 tff(24852,plain,
% 7.26/5.45 (v200(VarCurr!0) <=> v200(constB169)),
% 7.26/5.45 inference(symmetry,[status(thm)],[24851])).
% 7.26/5.45 tff(24853,plain,
% 7.26/5.45 (v200(constB169)),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[27, 24852])).
% 7.26/5.45 tff(24854,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB169) <=> (v201(constB169) | v205(constB169)))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24855,plain,
% 7.26/5.45 (v200(constB169) <=> (v201(constB169) | v205(constB169))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24854, 35])).
% 7.26/5.45 tff(24856,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB169) <=> (~((~v157(constB169)) | (~v202(constB169)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB169) <=> (~((~v157(constB169)) | (~v202(constB169))))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24857,plain,
% 7.26/5.45 ((v201(constB169) <=> (~((~v202(constB169)) | (~v157(constB169))))) <=> (v201(constB169) <=> (~((~v157(constB169)) | (~v202(constB169)))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24858,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB169) <=> (~((~v202(constB169)) | (~v157(constB169)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB169) <=> (~((~v157(constB169)) | (~v202(constB169))))))),
% 7.26/5.45 inference(monotonicity,[status(thm)],[24857])).
% 7.26/5.45 tff(24859,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB169) <=> (~((~v202(constB169)) | (~v157(constB169)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB169) <=> (~((~v157(constB169)) | (~v202(constB169))))))),
% 7.26/5.45 inference(transitivity,[status(thm)],[24858, 24856])).
% 7.26/5.45 tff(24860,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB169) <=> (~((~v202(constB169)) | (~v157(constB169)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24861,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB169) <=> (~((~v157(constB169)) | (~v202(constB169)))))),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[24860, 24859])).
% 7.26/5.45 tff(24862,plain,
% 7.26/5.45 (v201(constB169) <=> (~((~v157(constB169)) | (~v202(constB169))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24861, 47])).
% 7.26/5.45 tff(24863,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB169) <=> (~((~v183(constB169)) | (~v203(constB169)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24864,plain,
% 7.26/5.45 (v202(constB169) <=> (~((~v183(constB169)) | (~v203(constB169))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24863, 64])).
% 7.26/5.45 tff(24865,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB169) <=> (~((~v185(constB169)) | (~v204(constB169)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB169) <=> (~((~v185(constB169)) | (~v204(constB169))))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24866,plain,
% 7.26/5.45 ((v203(constB169) <=> (~((~v204(constB169)) | (~v185(constB169))))) <=> (v203(constB169) <=> (~((~v185(constB169)) | (~v204(constB169)))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24867,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB169) <=> (~((~v204(constB169)) | (~v185(constB169)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB169) <=> (~((~v185(constB169)) | (~v204(constB169))))))),
% 7.26/5.45 inference(monotonicity,[status(thm)],[24866])).
% 7.26/5.45 tff(24868,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB169) <=> (~((~v204(constB169)) | (~v185(constB169)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB169) <=> (~((~v185(constB169)) | (~v204(constB169))))))),
% 7.26/5.45 inference(transitivity,[status(thm)],[24867, 24865])).
% 7.26/5.45 tff(24869,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB169) <=> (~((~v204(constB169)) | (~v185(constB169)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24870,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB169) <=> (~((~v185(constB169)) | (~v204(constB169)))))),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[24869, 24868])).
% 7.26/5.45 tff(24871,plain,
% 7.26/5.45 (v203(constB169) <=> (~((~v185(constB169)) | (~v204(constB169))))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24870, 76])).
% 7.26/5.45 tff(24872,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))) | ((~v204(constB169)) <=> v84(constB169))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24873,plain,
% 7.26/5.45 ((~v204(constB169)) <=> v84(constB169)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24872, 185])).
% 7.26/5.45 tff(24874,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB169) <=> v86(constB169))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24875,plain,
% 7.26/5.45 (v84(constB169) <=> v86(constB169)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24874, 194])).
% 7.26/5.45 tff(24876,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB169) <=> (v136(constB169) | v145(constB169)))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24877,plain,
% 7.26/5.45 (v135(constB169) <=> (v136(constB169) | v145(constB169))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24876, 203])).
% 7.26/5.45 tff(24878,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB169) <=> (v137(constB169) | v142(constB169)))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24879,plain,
% 7.26/5.45 (v136(constB169) <=> (v137(constB169) | v142(constB169))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24878, 212])).
% 7.26/5.45 tff(24880,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB169) <=> (v143(constB169) | v144(constB169)))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24881,plain,
% 7.26/5.45 (v142(constB169) <=> (v143(constB169) | v144(constB169))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24880, 221])).
% 7.26/5.45 tff(24882,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB169) <=> (~((~v88(constB169, 1)) | v88(constB169, 2) | v88(constB169, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB169) <=> (~((~v88(constB169, 1)) | v88(constB169, 2) | v88(constB169, 0)))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24883,plain,
% 7.26/5.45 ((v143(constB169) <=> (~(v88(constB169, 0) | v88(constB169, 2) | (~v88(constB169, 1))))) <=> (v143(constB169) <=> (~((~v88(constB169, 1)) | v88(constB169, 2) | v88(constB169, 0))))),
% 7.26/5.45 inference(rewrite,[status(thm)],[])).
% 7.26/5.45 tff(24884,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB169) <=> (~(v88(constB169, 0) | v88(constB169, 2) | (~v88(constB169, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB169) <=> (~((~v88(constB169, 1)) | v88(constB169, 2) | v88(constB169, 0)))))),
% 7.26/5.45 inference(monotonicity,[status(thm)],[24883])).
% 7.26/5.45 tff(24885,plain,
% 7.26/5.45 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB169) <=> (~(v88(constB169, 0) | v88(constB169, 2) | (~v88(constB169, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB169) <=> (~((~v88(constB169, 1)) | v88(constB169, 2) | v88(constB169, 0)))))),
% 7.26/5.45 inference(transitivity,[status(thm)],[24884, 24882])).
% 7.26/5.45 tff(24886,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB169) <=> (~(v88(constB169, 0) | v88(constB169, 2) | (~v88(constB169, 1)))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24887,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB169) <=> (~((~v88(constB169, 1)) | v88(constB169, 2) | v88(constB169, 0))))),
% 7.26/5.45 inference(modus_ponens,[status(thm)],[24886, 24885])).
% 7.26/5.45 tff(24888,plain,
% 7.26/5.45 (v143(constB169) <=> (~((~v88(constB169, 1)) | v88(constB169, 2) | v88(constB169, 0)))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24887, 236])).
% 7.26/5.45 tff(24889,plain,
% 7.26/5.45 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB169, 1)) <=> v90(constB169, 1)) | ((~v88(constB169, 2)) <=> v90(constB169, 2)) | ((~v88(constB169, 0)) <=> v90(constB169, 0))))),
% 7.26/5.45 inference(quant_inst,[status(thm)],[])).
% 7.26/5.45 tff(24890,plain,
% 7.26/5.45 (~(((~v88(constB169, 1)) <=> v90(constB169, 1)) | ((~v88(constB169, 2)) <=> v90(constB169, 2)) | ((~v88(constB169, 0)) <=> v90(constB169, 0)))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24889, 256])).
% 7.26/5.45 tff(24891,plain,
% 7.26/5.45 ((((~v88(constB169, 1)) <=> v90(constB169, 1)) | ((~v88(constB169, 2)) <=> v90(constB169, 2)) | ((~v88(constB169, 0)) <=> v90(constB169, 0))) | (~((~v88(constB169, 2)) <=> v90(constB169, 2)))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24892,plain,
% 7.26/5.45 (~((~v88(constB169, 2)) <=> v90(constB169, 2))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24891, 24890])).
% 7.26/5.45 tff(24893,plain,
% 7.26/5.45 (((~v88(constB169, 2)) <=> v90(constB169, 2)) | (~v88(constB169, 2)) | v90(constB169, 2)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24894,plain,
% 7.26/5.45 (~v88(constB169, 2)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24893, 21747, 24892])).
% 7.26/5.45 tff(24895,plain,
% 7.26/5.45 ((((~v88(constB169, 1)) <=> v90(constB169, 1)) | ((~v88(constB169, 2)) <=> v90(constB169, 2)) | ((~v88(constB169, 0)) <=> v90(constB169, 0))) | (~((~v88(constB169, 0)) <=> v90(constB169, 0)))),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24896,plain,
% 7.26/5.45 (~((~v88(constB169, 0)) <=> v90(constB169, 0))),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24895, 24890])).
% 7.26/5.45 tff(24897,plain,
% 7.26/5.45 (((~v88(constB169, 0)) <=> v90(constB169, 0)) | (~v88(constB169, 0)) | v90(constB169, 0)),
% 7.26/5.45 inference(tautology,[status(thm)],[])).
% 7.26/5.45 tff(24898,plain,
% 7.26/5.45 (~v88(constB169, 0)),
% 7.26/5.45 inference(unit_resolution,[status(thm)],[24897, 21765, 24896])).
% 7.26/5.45 tff(24899,plain,
% 7.26/5.45 ((((~v88(constB169, 1)) <=> v90(constB169, 1)) | ((~v88(constB169, 2)) <=> v90(constB169, 2)) | ((~v88(constB169, 0)) <=> v90(constB169, 0))) | (~((~v88(constB169, 1)) <=> v90(constB169, 1)))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24900,plain,
% 7.26/5.46 (~((~v88(constB169, 1)) <=> v90(constB169, 1))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24899, 24890])).
% 7.26/5.46 tff(24901,plain,
% 7.26/5.46 (((~v88(constB169, 1)) <=> v90(constB169, 1)) | v88(constB169, 1) | (~v90(constB169, 1))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24902,plain,
% 7.26/5.46 (v88(constB169, 1)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24901, 21783, 24900])).
% 7.26/5.46 tff(24903,plain,
% 7.26/5.46 ((~((~v88(constB169, 1)) | v88(constB169, 2) | v88(constB169, 0))) | (~v88(constB169, 1)) | v88(constB169, 2) | v88(constB169, 0)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24904,plain,
% 7.26/5.46 (~((~v88(constB169, 1)) | v88(constB169, 2) | v88(constB169, 0))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24903, 24902, 24898, 24894])).
% 7.26/5.46 tff(24905,plain,
% 7.26/5.46 ((~(v143(constB169) <=> (~((~v88(constB169, 1)) | v88(constB169, 2) | v88(constB169, 0))))) | v143(constB169) | ((~v88(constB169, 1)) | v88(constB169, 2) | v88(constB169, 0))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24906,plain,
% 7.26/5.46 (v143(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24905, 24904, 24888])).
% 7.26/5.46 tff(24907,plain,
% 7.26/5.46 ((v143(constB169) | v144(constB169)) | (~v143(constB169))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24908,plain,
% 7.26/5.46 (v143(constB169) | v144(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24907, 24906])).
% 7.26/5.46 tff(24909,plain,
% 7.26/5.46 ((~(v142(constB169) <=> (v143(constB169) | v144(constB169)))) | v142(constB169) | (~(v143(constB169) | v144(constB169)))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24910,plain,
% 7.26/5.46 (v142(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24909, 24908, 24881])).
% 7.26/5.46 tff(24911,plain,
% 7.26/5.46 ((v137(constB169) | v142(constB169)) | (~v142(constB169))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24912,plain,
% 7.26/5.46 (v137(constB169) | v142(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24911, 24910])).
% 7.26/5.46 tff(24913,plain,
% 7.26/5.46 ((~(v136(constB169) <=> (v137(constB169) | v142(constB169)))) | v136(constB169) | (~(v137(constB169) | v142(constB169)))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24914,plain,
% 7.26/5.46 ((~(v136(constB169) <=> (v137(constB169) | v142(constB169)))) | v136(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24913, 24912])).
% 7.26/5.46 tff(24915,plain,
% 7.26/5.46 (v136(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24914, 24879])).
% 7.26/5.46 tff(24916,plain,
% 7.26/5.46 ((v136(constB169) | v145(constB169)) | (~v136(constB169))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24917,plain,
% 7.26/5.46 (v136(constB169) | v145(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24916, 24915])).
% 7.26/5.46 tff(24918,plain,
% 7.26/5.46 ((~(v135(constB169) <=> (v136(constB169) | v145(constB169)))) | v135(constB169) | (~(v136(constB169) | v145(constB169)))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24919,plain,
% 7.26/5.46 (v135(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24918, 24917, 24877])).
% 7.26/5.46 tff(24920,plain,
% 7.26/5.46 (((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB169)) | (v86(constB169) <=> v148(constB169)))) <=> ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB169)) | (v86(constB169) <=> v148(constB169)))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(24921,plain,
% 7.26/5.46 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB169)) | (v86(constB169) <=> v148(constB169)))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(24922,plain,
% 7.26/5.46 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB169)) | (v86(constB169) <=> v148(constB169))),
% 7.26/5.46 inference(modus_ponens,[status(thm)],[24921, 24920])).
% 7.26/5.46 tff(24923,plain,
% 7.26/5.46 (v86(constB169) <=> v148(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24922, 15057, 24919])).
% 7.26/5.46 tff(24924,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB169) | (~v142(constB169)))) <=> ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB169) | (~v142(constB169)))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(24925,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB169) | (~v142(constB169)))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(24926,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB169) | (~v142(constB169))),
% 7.26/5.46 inference(modus_ponens,[status(thm)],[24925, 24924])).
% 7.26/5.46 tff(24927,plain,
% 7.26/5.46 (v148(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24926, 15071, 24910])).
% 7.26/5.46 tff(24928,plain,
% 7.26/5.46 ((~(v86(constB169) <=> v148(constB169))) | v86(constB169) | (~v148(constB169))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24929,plain,
% 7.26/5.46 ((~(v86(constB169) <=> v148(constB169))) | v86(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24928, 24927])).
% 7.26/5.46 tff(24930,plain,
% 7.26/5.46 (v86(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24929, 24923])).
% 7.26/5.46 tff(24931,plain,
% 7.26/5.46 ((~(v84(constB169) <=> v86(constB169))) | v84(constB169) | (~v86(constB169))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24932,plain,
% 7.26/5.46 ((~(v84(constB169) <=> v86(constB169))) | v84(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24931, 24930])).
% 7.26/5.46 tff(24933,plain,
% 7.26/5.46 (v84(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24932, 24875])).
% 7.26/5.46 tff(24934,plain,
% 7.26/5.46 ((~((~v204(constB169)) <=> v84(constB169))) | (~v204(constB169)) | (~v84(constB169))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24935,plain,
% 7.26/5.46 ((~((~v204(constB169)) <=> v84(constB169))) | (~v204(constB169))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24934, 24933])).
% 7.26/5.46 tff(24936,plain,
% 7.26/5.46 (~v204(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24935, 24873])).
% 7.26/5.46 tff(24937,plain,
% 7.26/5.46 (((~v185(constB169)) | (~v204(constB169))) | v204(constB169)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24938,plain,
% 7.26/5.46 ((~v185(constB169)) | (~v204(constB169))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24937, 24936])).
% 7.26/5.46 tff(24939,plain,
% 7.26/5.46 ((~(v203(constB169) <=> (~((~v185(constB169)) | (~v204(constB169)))))) | (~v203(constB169)) | (~((~v185(constB169)) | (~v204(constB169))))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24940,plain,
% 7.26/5.46 (~v203(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24939, 24938, 24871])).
% 7.26/5.46 tff(24941,plain,
% 7.26/5.46 (((~v183(constB169)) | (~v203(constB169))) | v203(constB169)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24942,plain,
% 7.26/5.46 ((~v183(constB169)) | (~v203(constB169))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24941, 24940])).
% 7.26/5.46 tff(24943,plain,
% 7.26/5.46 ((~(v202(constB169) <=> (~((~v183(constB169)) | (~v203(constB169)))))) | (~v202(constB169)) | (~((~v183(constB169)) | (~v203(constB169))))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24944,plain,
% 7.26/5.46 (~v202(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24943, 24942, 24864])).
% 7.26/5.46 tff(24945,plain,
% 7.26/5.46 (((~v157(constB169)) | (~v202(constB169))) | v202(constB169)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24946,plain,
% 7.26/5.46 ((~v157(constB169)) | (~v202(constB169))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24945, 24944])).
% 7.26/5.46 tff(24947,plain,
% 7.26/5.46 ((~(v201(constB169) <=> (~((~v157(constB169)) | (~v202(constB169)))))) | (~v201(constB169)) | (~((~v157(constB169)) | (~v202(constB169))))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24948,plain,
% 7.26/5.46 (~v201(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24947, 24946, 24862])).
% 7.26/5.46 tff(24949,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB169) <=> (~((~v159(constB169)) | (~v202(constB169)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB169) <=> (~((~v159(constB169)) | (~v202(constB169))))))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(24950,plain,
% 7.26/5.46 ((v205(constB169) <=> (~((~v202(constB169)) | (~v159(constB169))))) <=> (v205(constB169) <=> (~((~v159(constB169)) | (~v202(constB169)))))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(24951,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB169) <=> (~((~v202(constB169)) | (~v159(constB169)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB169) <=> (~((~v159(constB169)) | (~v202(constB169))))))),
% 7.26/5.46 inference(monotonicity,[status(thm)],[24950])).
% 7.26/5.46 tff(24952,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB169) <=> (~((~v202(constB169)) | (~v159(constB169)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB169) <=> (~((~v159(constB169)) | (~v202(constB169))))))),
% 7.26/5.46 inference(transitivity,[status(thm)],[24951, 24949])).
% 7.26/5.46 tff(24953,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB169) <=> (~((~v202(constB169)) | (~v159(constB169)))))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(24954,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB169) <=> (~((~v159(constB169)) | (~v202(constB169)))))),
% 7.26/5.46 inference(modus_ponens,[status(thm)],[24953, 24952])).
% 7.26/5.46 tff(24955,plain,
% 7.26/5.46 (v205(constB169) <=> (~((~v159(constB169)) | (~v202(constB169))))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24954, 138])).
% 7.26/5.46 tff(24956,plain,
% 7.26/5.46 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB169) <=> v182(constB169))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(24957,plain,
% 7.26/5.46 (v159(constB169) <=> v182(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24956, 15113])).
% 7.26/5.46 tff(24958,plain,
% 7.26/5.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB168, constB169)) | (v182(constB169) <=> v180(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB168, constB169)) | (v182(constB169) <=> v180(constB168)))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(24959,plain,
% 7.26/5.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB168, constB169)) | (v182(constB169) <=> v180(constB168)))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(24960,plain,
% 7.26/5.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB168, constB169)) | (v182(constB169) <=> v180(constB168))),
% 7.26/5.46 inference(modus_ponens,[status(thm)],[24959, 24958])).
% 7.26/5.46 tff(24961,plain,
% 7.26/5.46 (v182(constB169) <=> v180(constB168)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24960, 17308, 15125])).
% 7.26/5.46 tff(24962,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB168) <=> (~((~v183(constB168)) | (~v184(constB168)))))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(24963,plain,
% 7.26/5.46 (v180(constB168) <=> (~((~v183(constB168)) | (~v184(constB168))))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24962, 15139])).
% 7.26/5.46 tff(24964,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB168) <=> (~((~v185(constB168)) | (~v161(constB168)))))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(24965,plain,
% 7.26/5.46 (v184(constB168) <=> (~((~v185(constB168)) | (~v161(constB168))))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24964, 15151])).
% 7.26/5.46 tff(24966,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB168) <=> (~((~v39(constB168)) | (~v9(constB168)))))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(24967,plain,
% 7.26/5.46 (v185(constB168) <=> (~((~v39(constB168)) | (~v9(constB168))))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24966, 93])).
% 7.26/5.46 tff(24968,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB168)) <=> v1(constB168))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(24969,plain,
% 7.26/5.46 ((~v39(constB168)) <=> v1(constB168)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24968, 102])).
% 7.26/5.46 tff(24970,plain,
% 7.26/5.46 ((~((~v39(constB168)) <=> v1(constB168))) | (~v39(constB168)) | (~v1(constB168))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24971,plain,
% 7.26/5.46 ((~((~v39(constB168)) <=> v1(constB168))) | (~v39(constB168))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24970, 21667])).
% 7.26/5.46 tff(24972,plain,
% 7.26/5.46 (~v39(constB168)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24971, 24969])).
% 7.26/5.46 tff(24973,plain,
% 7.26/5.46 (((~v39(constB168)) | (~v9(constB168))) | v39(constB168)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24974,plain,
% 7.26/5.46 ((~v39(constB168)) | (~v9(constB168))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24973, 24972])).
% 7.26/5.46 tff(24975,plain,
% 7.26/5.46 ((~(v185(constB168) <=> (~((~v39(constB168)) | (~v9(constB168)))))) | (~v185(constB168)) | (~((~v39(constB168)) | (~v9(constB168))))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24976,plain,
% 7.26/5.46 ((~(v185(constB168) <=> (~((~v39(constB168)) | (~v9(constB168)))))) | (~v185(constB168))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24975, 24974])).
% 7.26/5.46 tff(24977,plain,
% 7.26/5.46 (~v185(constB168)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24976, 24967])).
% 7.26/5.46 tff(24978,plain,
% 7.26/5.46 (((~v185(constB168)) | (~v161(constB168))) | v185(constB168)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24979,plain,
% 7.26/5.46 ((~v185(constB168)) | (~v161(constB168))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24978, 24977])).
% 7.26/5.46 tff(24980,plain,
% 7.26/5.46 ((~(v184(constB168) <=> (~((~v185(constB168)) | (~v161(constB168)))))) | (~v184(constB168)) | (~((~v185(constB168)) | (~v161(constB168))))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24981,plain,
% 7.26/5.46 ((~(v184(constB168) <=> (~((~v185(constB168)) | (~v161(constB168)))))) | (~v184(constB168))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24980, 24979])).
% 7.26/5.46 tff(24982,plain,
% 7.26/5.46 (~v184(constB168)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24981, 24965])).
% 7.26/5.46 tff(24983,plain,
% 7.26/5.46 (((~v183(constB168)) | (~v184(constB168))) | v184(constB168)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24984,plain,
% 7.26/5.46 ((~v183(constB168)) | (~v184(constB168))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24983, 24982])).
% 7.26/5.46 tff(24985,plain,
% 7.26/5.46 ((~(v180(constB168) <=> (~((~v183(constB168)) | (~v184(constB168)))))) | (~v180(constB168)) | (~((~v183(constB168)) | (~v184(constB168))))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24986,plain,
% 7.26/5.46 (~v180(constB168)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24985, 24984, 24963])).
% 7.26/5.46 tff(24987,plain,
% 7.26/5.46 ((~(v182(constB169) <=> v180(constB168))) | (~v182(constB169)) | v180(constB168)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24988,plain,
% 7.26/5.46 (~v182(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24987, 24986, 24961])).
% 7.26/5.46 tff(24989,plain,
% 7.26/5.46 ((~(v159(constB169) <=> v182(constB169))) | (~v159(constB169)) | v182(constB169)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24990,plain,
% 7.26/5.46 (~v159(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24989, 24988, 24957])).
% 7.26/5.46 tff(24991,plain,
% 7.26/5.46 (((~v159(constB169)) | (~v202(constB169))) | v159(constB169)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24992,plain,
% 7.26/5.46 ((~v159(constB169)) | (~v202(constB169))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24991, 24990])).
% 7.26/5.46 tff(24993,plain,
% 7.26/5.46 ((~(v205(constB169) <=> (~((~v159(constB169)) | (~v202(constB169)))))) | (~v205(constB169)) | (~((~v159(constB169)) | (~v202(constB169))))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24994,plain,
% 7.26/5.46 (~v205(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24993, 24992, 24955])).
% 7.26/5.46 tff(24995,plain,
% 7.26/5.46 ((~(v201(constB169) | v205(constB169))) | v201(constB169) | v205(constB169)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24996,plain,
% 7.26/5.46 ((~(v201(constB169) | v205(constB169))) | v201(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24995, 24994])).
% 7.26/5.46 tff(24997,plain,
% 7.26/5.46 (~(v201(constB169) | v205(constB169))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24996, 24948])).
% 7.26/5.46 tff(24998,plain,
% 7.26/5.46 ((~(v200(constB169) <=> (v201(constB169) | v205(constB169)))) | (~v200(constB169)) | (v201(constB169) | v205(constB169))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(24999,plain,
% 7.26/5.46 (~v200(constB169)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24998, 24997, 24855])).
% 7.26/5.46 tff(25000,plain,
% 7.26/5.46 ($false),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[24999, 24853])).
% 7.26/5.46 tff(25001,plain,(~(constB169 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.26/5.46 tff(25002,assumption,(constB15 = VarCurr!0), introduced(assumption)).
% 7.26/5.46 tff(25003,plain,
% 7.26/5.46 (v200(constB15) <=> v200(VarCurr!0)),
% 7.26/5.46 inference(monotonicity,[status(thm)],[25002])).
% 7.26/5.46 tff(25004,plain,
% 7.26/5.46 (v200(VarCurr!0) <=> v200(constB15)),
% 7.26/5.46 inference(symmetry,[status(thm)],[25003])).
% 7.26/5.46 tff(25005,plain,
% 7.26/5.46 (v200(constB15)),
% 7.26/5.46 inference(modus_ponens,[status(thm)],[27, 25004])).
% 7.26/5.46 tff(25006,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB15) <=> (v201(constB15) | v205(constB15)))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25007,plain,
% 7.26/5.46 (v200(constB15) <=> (v201(constB15) | v205(constB15))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25006, 35])).
% 7.26/5.46 tff(25008,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB15) <=> (~((~v157(constB15)) | (~v202(constB15)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB15) <=> (~((~v157(constB15)) | (~v202(constB15))))))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(25009,plain,
% 7.26/5.46 ((v201(constB15) <=> (~((~v202(constB15)) | (~v157(constB15))))) <=> (v201(constB15) <=> (~((~v157(constB15)) | (~v202(constB15)))))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(25010,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB15) <=> (~((~v202(constB15)) | (~v157(constB15)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB15) <=> (~((~v157(constB15)) | (~v202(constB15))))))),
% 7.26/5.46 inference(monotonicity,[status(thm)],[25009])).
% 7.26/5.46 tff(25011,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB15) <=> (~((~v202(constB15)) | (~v157(constB15)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB15) <=> (~((~v157(constB15)) | (~v202(constB15))))))),
% 7.26/5.46 inference(transitivity,[status(thm)],[25010, 25008])).
% 7.26/5.46 tff(25012,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB15) <=> (~((~v202(constB15)) | (~v157(constB15)))))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25013,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB15) <=> (~((~v157(constB15)) | (~v202(constB15)))))),
% 7.26/5.46 inference(modus_ponens,[status(thm)],[25012, 25011])).
% 7.26/5.46 tff(25014,plain,
% 7.26/5.46 (v201(constB15) <=> (~((~v157(constB15)) | (~v202(constB15))))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25013, 47])).
% 7.26/5.46 tff(25015,plain,
% 7.26/5.46 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB15) <=> v192(constB15))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25016,plain,
% 7.26/5.46 (v157(constB15) <=> v192(constB15)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25015, 15407])).
% 7.26/5.46 tff(25017,plain,
% 7.26/5.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB14, constB15)) | (v192(constB15) <=> v190(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB14, constB15)) | (v192(constB15) <=> v190(constB14)))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(25018,plain,
% 7.26/5.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB14, constB15)) | (v192(constB15) <=> v190(constB14)))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25019,plain,
% 7.26/5.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB14, constB15)) | (v192(constB15) <=> v190(constB14))),
% 7.26/5.46 inference(modus_ponens,[status(thm)],[25018, 25017])).
% 7.26/5.46 tff(25020,plain,
% 7.26/5.46 (v192(constB15) <=> v190(constB14)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25019, 4055, 15419])).
% 7.26/5.46 tff(25021,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB14) <=> (v193(constB14) | v196(constB14)))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25022,plain,
% 7.26/5.46 (v190(constB14) <=> (v193(constB14) | v196(constB14))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25021, 15430])).
% 7.26/5.46 tff(25023,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB14) <=> (~((~v157(constB14)) | (~v194(constB14)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB14) <=> (~((~v157(constB14)) | (~v194(constB14))))))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(25024,plain,
% 7.26/5.46 ((v193(constB14) <=> (~((~v194(constB14)) | (~v157(constB14))))) <=> (v193(constB14) <=> (~((~v157(constB14)) | (~v194(constB14)))))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(25025,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB14) <=> (~((~v194(constB14)) | (~v157(constB14)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB14) <=> (~((~v157(constB14)) | (~v194(constB14))))))),
% 7.26/5.46 inference(monotonicity,[status(thm)],[25024])).
% 7.26/5.46 tff(25026,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB14) <=> (~((~v194(constB14)) | (~v157(constB14)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB14) <=> (~((~v157(constB14)) | (~v194(constB14))))))),
% 7.26/5.46 inference(transitivity,[status(thm)],[25025, 25023])).
% 7.26/5.46 tff(25027,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB14) <=> (~((~v194(constB14)) | (~v157(constB14)))))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25028,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB14) <=> (~((~v157(constB14)) | (~v194(constB14)))))),
% 7.26/5.46 inference(modus_ponens,[status(thm)],[25027, 25026])).
% 7.26/5.46 tff(25029,plain,
% 7.26/5.46 (v193(constB14) <=> (~((~v157(constB14)) | (~v194(constB14))))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25028, 15442])).
% 7.26/5.46 tff(25030,plain,
% 7.26/5.46 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB14) <=> v192(constB14))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25031,plain,
% 7.26/5.46 (v157(constB14) <=> v192(constB14)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25030, 15407])).
% 7.26/5.46 tff(25032,plain,
% 7.26/5.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB13, constB14)) | (v192(constB14) <=> v190(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB13, constB14)) | (v192(constB14) <=> v190(constB13)))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(25033,plain,
% 7.26/5.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB13, constB14)) | (v192(constB14) <=> v190(constB13)))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25034,plain,
% 7.26/5.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB13, constB14)) | (v192(constB14) <=> v190(constB13))),
% 7.26/5.46 inference(modus_ponens,[status(thm)],[25033, 25032])).
% 7.26/5.46 tff(25035,plain,
% 7.26/5.46 (v192(constB14) <=> v190(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25034, 4091, 15419])).
% 7.26/5.46 tff(25036,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB13) <=> (v193(constB13) | v196(constB13)))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25037,plain,
% 7.26/5.46 (v190(constB13) <=> (v193(constB13) | v196(constB13))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25036, 15430])).
% 7.26/5.46 tff(25038,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB13) <=> (~((~v159(constB13)) | (~v194(constB13)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB13) <=> (~((~v159(constB13)) | (~v194(constB13))))))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(25039,plain,
% 7.26/5.46 ((v196(constB13) <=> (~((~v194(constB13)) | (~v159(constB13))))) <=> (v196(constB13) <=> (~((~v159(constB13)) | (~v194(constB13)))))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(25040,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB13) <=> (~((~v194(constB13)) | (~v159(constB13)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB13) <=> (~((~v159(constB13)) | (~v194(constB13))))))),
% 7.26/5.46 inference(monotonicity,[status(thm)],[25039])).
% 7.26/5.46 tff(25041,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB13) <=> (~((~v194(constB13)) | (~v159(constB13)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB13) <=> (~((~v159(constB13)) | (~v194(constB13))))))),
% 7.26/5.46 inference(transitivity,[status(thm)],[25040, 25038])).
% 7.26/5.46 tff(25042,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB13) <=> (~((~v194(constB13)) | (~v159(constB13)))))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25043,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB13) <=> (~((~v159(constB13)) | (~v194(constB13)))))),
% 7.26/5.46 inference(modus_ponens,[status(thm)],[25042, 25041])).
% 7.26/5.46 tff(25044,plain,
% 7.26/5.46 (v196(constB13) <=> (~((~v159(constB13)) | (~v194(constB13))))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25043, 15467])).
% 7.26/5.46 tff(25045,plain,
% 7.26/5.46 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB13) <=> v182(constB13))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25046,plain,
% 7.26/5.46 (v159(constB13) <=> v182(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25045, 15113])).
% 7.26/5.46 tff(25047,plain,
% 7.26/5.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB12, constB13)) | (v182(constB13) <=> v180(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB12, constB13)) | (v182(constB13) <=> v180(constB12)))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(25048,plain,
% 7.26/5.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB12, constB13)) | (v182(constB13) <=> v180(constB12)))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25049,plain,
% 7.26/5.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB12, constB13)) | (v182(constB13) <=> v180(constB12))),
% 7.26/5.46 inference(modus_ponens,[status(thm)],[25048, 25047])).
% 7.26/5.46 tff(25050,plain,
% 7.26/5.46 (v182(constB13) <=> v180(constB12)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25049, 4121, 15125])).
% 7.26/5.46 tff(25051,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB12) <=> (~((~v183(constB12)) | (~v184(constB12)))))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25052,plain,
% 7.26/5.46 (v180(constB12) <=> (~((~v183(constB12)) | (~v184(constB12))))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25051, 15139])).
% 7.26/5.46 tff(25053,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB12) <=> (~((~v185(constB12)) | (~v161(constB12)))))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25054,plain,
% 7.26/5.46 (v184(constB12) <=> (~((~v185(constB12)) | (~v161(constB12))))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25053, 15151])).
% 7.26/5.46 tff(25055,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB12) <=> (~((~v39(constB12)) | (~v9(constB12)))))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25056,plain,
% 7.26/5.46 (v185(constB12) <=> (~((~v39(constB12)) | (~v9(constB12))))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25055, 93])).
% 7.26/5.46 tff(25057,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB12)) <=> v1(constB12))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25058,plain,
% 7.26/5.46 ((~v39(constB12)) <=> v1(constB12)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25057, 102])).
% 7.26/5.46 tff(25059,plain,
% 7.26/5.46 ((~((~v39(constB12)) <=> v1(constB12))) | (~v39(constB12)) | (~v1(constB12))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25060,plain,
% 7.26/5.46 ((~((~v39(constB12)) <=> v1(constB12))) | (~v39(constB12))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25059, 5629])).
% 7.26/5.46 tff(25061,plain,
% 7.26/5.46 (~v39(constB12)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25060, 25058])).
% 7.26/5.46 tff(25062,plain,
% 7.26/5.46 (((~v39(constB12)) | (~v9(constB12))) | v39(constB12)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25063,plain,
% 7.26/5.46 ((~v39(constB12)) | (~v9(constB12))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25062, 25061])).
% 7.26/5.46 tff(25064,plain,
% 7.26/5.46 ((~(v185(constB12) <=> (~((~v39(constB12)) | (~v9(constB12)))))) | (~v185(constB12)) | (~((~v39(constB12)) | (~v9(constB12))))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25065,plain,
% 7.26/5.46 ((~(v185(constB12) <=> (~((~v39(constB12)) | (~v9(constB12)))))) | (~v185(constB12))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25064, 25063])).
% 7.26/5.46 tff(25066,plain,
% 7.26/5.46 (~v185(constB12)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25065, 25056])).
% 7.26/5.46 tff(25067,plain,
% 7.26/5.46 (((~v185(constB12)) | (~v161(constB12))) | v185(constB12)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25068,plain,
% 7.26/5.46 ((~v185(constB12)) | (~v161(constB12))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25067, 25066])).
% 7.26/5.46 tff(25069,plain,
% 7.26/5.46 ((~(v184(constB12) <=> (~((~v185(constB12)) | (~v161(constB12)))))) | (~v184(constB12)) | (~((~v185(constB12)) | (~v161(constB12))))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25070,plain,
% 7.26/5.46 ((~(v184(constB12) <=> (~((~v185(constB12)) | (~v161(constB12)))))) | (~v184(constB12))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25069, 25068])).
% 7.26/5.46 tff(25071,plain,
% 7.26/5.46 (~v184(constB12)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25070, 25054])).
% 7.26/5.46 tff(25072,plain,
% 7.26/5.46 (((~v183(constB12)) | (~v184(constB12))) | v184(constB12)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25073,plain,
% 7.26/5.46 ((~v183(constB12)) | (~v184(constB12))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25072, 25071])).
% 7.26/5.46 tff(25074,plain,
% 7.26/5.46 ((~(v180(constB12) <=> (~((~v183(constB12)) | (~v184(constB12)))))) | (~v180(constB12)) | (~((~v183(constB12)) | (~v184(constB12))))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25075,plain,
% 7.26/5.46 (~v180(constB12)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25074, 25073, 25052])).
% 7.26/5.46 tff(25076,plain,
% 7.26/5.46 ((~(v182(constB13) <=> v180(constB12))) | (~v182(constB13)) | v180(constB12)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25077,plain,
% 7.26/5.46 (~v182(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25076, 25075, 25050])).
% 7.26/5.46 tff(25078,plain,
% 7.26/5.46 ((~(v159(constB13) <=> v182(constB13))) | (~v159(constB13)) | v182(constB13)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25079,plain,
% 7.26/5.46 (~v159(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25078, 25077, 25046])).
% 7.26/5.46 tff(25080,plain,
% 7.26/5.46 (((~v159(constB13)) | (~v194(constB13))) | v159(constB13)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25081,plain,
% 7.26/5.46 ((~v159(constB13)) | (~v194(constB13))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25080, 25079])).
% 7.26/5.46 tff(25082,plain,
% 7.26/5.46 ((~(v196(constB13) <=> (~((~v159(constB13)) | (~v194(constB13)))))) | (~v196(constB13)) | (~((~v159(constB13)) | (~v194(constB13))))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25083,plain,
% 7.26/5.46 (~v196(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25082, 25081, 25044])).
% 7.26/5.46 tff(25084,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB13) <=> (~((~v157(constB13)) | (~v194(constB13)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB13) <=> (~((~v157(constB13)) | (~v194(constB13))))))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(25085,plain,
% 7.26/5.46 ((v193(constB13) <=> (~((~v194(constB13)) | (~v157(constB13))))) <=> (v193(constB13) <=> (~((~v157(constB13)) | (~v194(constB13)))))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(25086,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB13) <=> (~((~v194(constB13)) | (~v157(constB13)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB13) <=> (~((~v157(constB13)) | (~v194(constB13))))))),
% 7.26/5.46 inference(monotonicity,[status(thm)],[25085])).
% 7.26/5.46 tff(25087,plain,
% 7.26/5.46 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB13) <=> (~((~v194(constB13)) | (~v157(constB13)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB13) <=> (~((~v157(constB13)) | (~v194(constB13))))))),
% 7.26/5.46 inference(transitivity,[status(thm)],[25086, 25084])).
% 7.26/5.46 tff(25088,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB13) <=> (~((~v194(constB13)) | (~v157(constB13)))))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25089,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB13) <=> (~((~v157(constB13)) | (~v194(constB13)))))),
% 7.26/5.46 inference(modus_ponens,[status(thm)],[25088, 25087])).
% 7.26/5.46 tff(25090,plain,
% 7.26/5.46 (v193(constB13) <=> (~((~v157(constB13)) | (~v194(constB13))))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25089, 15442])).
% 7.26/5.46 tff(25091,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB13)) <=> v195(constB13))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25092,plain,
% 7.26/5.46 ((~v194(constB13)) <=> v195(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25091, 15527])).
% 7.26/5.46 tff(25093,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB13) <=> (v185(constB13) | v26(constB13)))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25094,plain,
% 7.26/5.46 (v195(constB13) <=> (v185(constB13) | v26(constB13))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25093, 15536])).
% 7.26/5.46 tff(25095,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB13) <=> (~((~v39(constB13)) | (~v9(constB13)))))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25096,plain,
% 7.26/5.46 (v185(constB13) <=> (~((~v39(constB13)) | (~v9(constB13))))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25095, 93])).
% 7.26/5.46 tff(25097,plain,
% 7.26/5.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13)))),
% 7.26/5.46 inference(rewrite,[status(thm)],[])).
% 7.26/5.46 tff(25098,plain,
% 7.26/5.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13)))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25099,plain,
% 7.26/5.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13))),
% 7.26/5.46 inference(modus_ponens,[status(thm)],[25098, 25097])).
% 7.26/5.46 tff(25100,plain,
% 7.26/5.46 (v13(constB14) <=> v9(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25099, 4091, 15550])).
% 7.26/5.46 tff(25101,plain,
% 7.26/5.46 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB14) <=> v13(constB14))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25102,plain,
% 7.26/5.46 (v6(constB14) <=> v13(constB14)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25101, 15564])).
% 7.26/5.46 tff(25103,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB14)) <=> v6(constB14))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25104,plain,
% 7.26/5.46 ((~v21(constB14)) <=> v6(constB14)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25103, 15573])).
% 7.26/5.46 tff(25105,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB14) <=> (v20(constB14) | v21(constB14)))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25106,plain,
% 7.26/5.46 (v19(constB14) <=> (v20(constB14) | v21(constB14))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25105, 15582])).
% 7.26/5.46 tff(25107,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14)))))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25108,plain,
% 7.26/5.46 (v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14))))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25107, 15594])).
% 7.26/5.46 tff(25109,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB14)) <=> v18(constB14))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25110,plain,
% 7.26/5.46 ((~v4(constB14)) <=> v18(constB14)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25109, 15603])).
% 7.26/5.46 tff(25111,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB14)),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25112,plain,
% 7.26/5.46 (v4(constB14)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25111, 15612])).
% 7.26/5.46 tff(25113,plain,
% 7.26/5.46 ((~((~v4(constB14)) <=> v18(constB14))) | (~v4(constB14)) | (~v18(constB14))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25114,plain,
% 7.26/5.46 (~v18(constB14)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25113, 25112, 25110])).
% 7.26/5.46 tff(25115,plain,
% 7.26/5.46 ((~(v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14)))))) | v18(constB14) | ((~v19(constB14)) | (~v22(constB14)))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25116,plain,
% 7.26/5.46 ((~v19(constB14)) | (~v22(constB14))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25115, 25114, 25108])).
% 7.26/5.46 tff(25117,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB14) <=> (v1(constB14) | v6(constB14)))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25118,plain,
% 7.26/5.46 (v22(constB14) <=> (v1(constB14) | v6(constB14))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25117, 15625])).
% 7.26/5.46 tff(25119,plain,
% 7.26/5.46 ((v1(constB14) | v6(constB14)) | (~v1(constB14))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25120,plain,
% 7.26/5.46 (v1(constB14) | v6(constB14)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25119, 5775])).
% 7.26/5.46 tff(25121,plain,
% 7.26/5.46 ((~(v22(constB14) <=> (v1(constB14) | v6(constB14)))) | v22(constB14) | (~(v1(constB14) | v6(constB14)))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25122,plain,
% 7.26/5.46 ((~(v22(constB14) <=> (v1(constB14) | v6(constB14)))) | v22(constB14)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25121, 25120])).
% 7.26/5.46 tff(25123,plain,
% 7.26/5.46 (v22(constB14)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25122, 25118])).
% 7.26/5.46 tff(25124,plain,
% 7.26/5.46 ((~((~v19(constB14)) | (~v22(constB14)))) | (~v19(constB14)) | (~v22(constB14))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25125,plain,
% 7.26/5.46 ((~((~v19(constB14)) | (~v22(constB14)))) | (~v19(constB14))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25124, 25123])).
% 7.26/5.46 tff(25126,plain,
% 7.26/5.46 (~v19(constB14)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25125, 25116])).
% 7.26/5.46 tff(25127,plain,
% 7.26/5.46 ((~(v19(constB14) <=> (v20(constB14) | v21(constB14)))) | v19(constB14) | (~(v20(constB14) | v21(constB14)))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25128,plain,
% 7.26/5.46 (~(v20(constB14) | v21(constB14))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25127, 25126, 25106])).
% 7.26/5.46 tff(25129,plain,
% 7.26/5.46 ((v20(constB14) | v21(constB14)) | (~v21(constB14))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25130,plain,
% 7.26/5.46 (~v21(constB14)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25129, 25128])).
% 7.26/5.46 tff(25131,plain,
% 7.26/5.46 ((~((~v21(constB14)) <=> v6(constB14))) | v21(constB14) | v6(constB14)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25132,plain,
% 7.26/5.46 (v6(constB14)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25131, 25130, 25104])).
% 7.26/5.46 tff(25133,plain,
% 7.26/5.46 ((~(v6(constB14) <=> v13(constB14))) | (~v6(constB14)) | v13(constB14)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25134,plain,
% 7.26/5.46 (v13(constB14)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25133, 25132, 25102])).
% 7.26/5.46 tff(25135,plain,
% 7.26/5.46 ((~(v13(constB14) <=> v9(constB13))) | (~v13(constB14)) | v9(constB13)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25136,plain,
% 7.26/5.46 (v9(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25135, 25134, 25100])).
% 7.26/5.46 tff(25137,plain,
% 7.26/5.46 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB13)) <=> v1(constB13))),
% 7.26/5.46 inference(quant_inst,[status(thm)],[])).
% 7.26/5.46 tff(25138,plain,
% 7.26/5.46 ((~v39(constB13)) <=> v1(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25137, 102])).
% 7.26/5.46 tff(25139,plain,
% 7.26/5.46 ((~((~v39(constB13)) <=> v1(constB13))) | v39(constB13) | v1(constB13)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25140,plain,
% 7.26/5.46 ((~((~v39(constB13)) <=> v1(constB13))) | v39(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25139, 4135])).
% 7.26/5.46 tff(25141,plain,
% 7.26/5.46 (v39(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25140, 25138])).
% 7.26/5.46 tff(25142,plain,
% 7.26/5.46 ((~((~v39(constB13)) | (~v9(constB13)))) | (~v39(constB13)) | (~v9(constB13))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25143,plain,
% 7.26/5.46 ((~((~v39(constB13)) | (~v9(constB13)))) | (~v9(constB13))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25142, 25141])).
% 7.26/5.46 tff(25144,plain,
% 7.26/5.46 (~((~v39(constB13)) | (~v9(constB13)))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25143, 25136])).
% 7.26/5.46 tff(25145,plain,
% 7.26/5.46 ((~(v185(constB13) <=> (~((~v39(constB13)) | (~v9(constB13)))))) | v185(constB13) | ((~v39(constB13)) | (~v9(constB13)))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25146,plain,
% 7.26/5.46 (v185(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25145, 25144, 25096])).
% 7.26/5.46 tff(25147,plain,
% 7.26/5.46 ((v185(constB13) | v26(constB13)) | (~v185(constB13))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25148,plain,
% 7.26/5.46 (v185(constB13) | v26(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25147, 25146])).
% 7.26/5.46 tff(25149,plain,
% 7.26/5.46 ((~(v195(constB13) <=> (v185(constB13) | v26(constB13)))) | v195(constB13) | (~(v185(constB13) | v26(constB13)))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25150,plain,
% 7.26/5.46 (v195(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25149, 25148, 25094])).
% 7.26/5.46 tff(25151,plain,
% 7.26/5.46 ((~((~v194(constB13)) <=> v195(constB13))) | (~v194(constB13)) | (~v195(constB13))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25152,plain,
% 7.26/5.46 (~v194(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25151, 25150, 25092])).
% 7.26/5.46 tff(25153,plain,
% 7.26/5.46 (((~v157(constB13)) | (~v194(constB13))) | v194(constB13)),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25154,plain,
% 7.26/5.46 ((~v157(constB13)) | (~v194(constB13))),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25153, 25152])).
% 7.26/5.46 tff(25155,plain,
% 7.26/5.46 ((~(v193(constB13) <=> (~((~v157(constB13)) | (~v194(constB13)))))) | (~v193(constB13)) | (~((~v157(constB13)) | (~v194(constB13))))),
% 7.26/5.46 inference(tautology,[status(thm)],[])).
% 7.26/5.46 tff(25156,plain,
% 7.26/5.46 (~v193(constB13)),
% 7.26/5.46 inference(unit_resolution,[status(thm)],[25155, 25154, 25090])).
% 7.26/5.47 tff(25157,plain,
% 7.26/5.47 ((~(v193(constB13) | v196(constB13))) | v193(constB13) | v196(constB13)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25158,plain,
% 7.26/5.47 (~(v193(constB13) | v196(constB13))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25157, 25156, 25083])).
% 7.26/5.47 tff(25159,plain,
% 7.26/5.47 ((~(v190(constB13) <=> (v193(constB13) | v196(constB13)))) | (~v190(constB13)) | (v193(constB13) | v196(constB13))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25160,plain,
% 7.26/5.47 (~v190(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25159, 25158, 25037])).
% 7.26/5.47 tff(25161,plain,
% 7.26/5.47 ((~(v192(constB14) <=> v190(constB13))) | (~v192(constB14)) | v190(constB13)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25162,plain,
% 7.26/5.47 (~v192(constB14)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25161, 25160, 25035])).
% 7.26/5.47 tff(25163,plain,
% 7.26/5.47 ((~(v157(constB14) <=> v192(constB14))) | (~v157(constB14)) | v192(constB14)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25164,plain,
% 7.26/5.47 (~v157(constB14)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25163, 25162, 25031])).
% 7.26/5.47 tff(25165,plain,
% 7.26/5.47 (((~v157(constB14)) | (~v194(constB14))) | v157(constB14)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25166,plain,
% 7.26/5.47 ((~v157(constB14)) | (~v194(constB14))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25165, 25164])).
% 7.26/5.47 tff(25167,plain,
% 7.26/5.47 ((~(v193(constB14) <=> (~((~v157(constB14)) | (~v194(constB14)))))) | (~v193(constB14)) | (~((~v157(constB14)) | (~v194(constB14))))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25168,plain,
% 7.26/5.47 (~v193(constB14)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25167, 25166, 25029])).
% 7.26/5.47 tff(25169,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB14) <=> (~((~v159(constB14)) | (~v194(constB14)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB14) <=> (~((~v159(constB14)) | (~v194(constB14))))))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25170,plain,
% 7.26/5.47 ((v196(constB14) <=> (~((~v194(constB14)) | (~v159(constB14))))) <=> (v196(constB14) <=> (~((~v159(constB14)) | (~v194(constB14)))))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25171,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB14) <=> (~((~v194(constB14)) | (~v159(constB14)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB14) <=> (~((~v159(constB14)) | (~v194(constB14))))))),
% 7.26/5.47 inference(monotonicity,[status(thm)],[25170])).
% 7.26/5.47 tff(25172,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB14) <=> (~((~v194(constB14)) | (~v159(constB14)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB14) <=> (~((~v159(constB14)) | (~v194(constB14))))))),
% 7.26/5.47 inference(transitivity,[status(thm)],[25171, 25169])).
% 7.26/5.47 tff(25173,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB14) <=> (~((~v194(constB14)) | (~v159(constB14)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25174,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB14) <=> (~((~v159(constB14)) | (~v194(constB14)))))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25173, 25172])).
% 7.26/5.47 tff(25175,plain,
% 7.26/5.47 (v196(constB14) <=> (~((~v159(constB14)) | (~v194(constB14))))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25174, 15467])).
% 7.26/5.47 tff(25176,plain,
% 7.26/5.47 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB14) <=> v182(constB14))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25177,plain,
% 7.26/5.47 (v159(constB14) <=> v182(constB14)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25176, 15113])).
% 7.26/5.47 tff(25178,plain,
% 7.26/5.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB13, constB14)) | (v182(constB14) <=> v180(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB13, constB14)) | (v182(constB14) <=> v180(constB13)))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25179,plain,
% 7.26/5.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB13, constB14)) | (v182(constB14) <=> v180(constB13)))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25180,plain,
% 7.26/5.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB13, constB14)) | (v182(constB14) <=> v180(constB13))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25179, 25178])).
% 7.26/5.47 tff(25181,plain,
% 7.26/5.47 (v182(constB14) <=> v180(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25180, 4091, 15125])).
% 7.26/5.47 tff(25182,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB13) <=> (~((~v183(constB13)) | (~v184(constB13)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25183,plain,
% 7.26/5.47 (v180(constB13) <=> (~((~v183(constB13)) | (~v184(constB13))))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25182, 15139])).
% 7.26/5.47 tff(25184,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB13) <=> (~((~v185(constB13)) | (~v161(constB13)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25185,plain,
% 7.26/5.47 (v184(constB13) <=> (~((~v185(constB13)) | (~v161(constB13))))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25184, 15151])).
% 7.26/5.47 tff(25186,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB13) <=> v163(constB13))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25187,plain,
% 7.26/5.47 (v161(constB13) <=> v163(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25186, 15701])).
% 7.26/5.47 tff(25188,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB13) <=> (v145(constB13) | v167(constB13)))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25189,plain,
% 7.26/5.47 (v166(constB13) <=> (v145(constB13) | v167(constB13))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25188, 15713])).
% 7.26/5.47 tff(25190,plain,
% 7.26/5.47 (^[VarCurr: state_type] : refl((v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))) <=> (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))))),
% 7.26/5.47 inference(bind,[status(th)],[])).
% 7.26/5.47 tff(25191,plain,
% 7.26/5.47 (![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))) <=> ![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 7.26/5.47 inference(quant_intro,[status(thm)],[25190])).
% 7.26/5.47 tff(25192,plain,
% 7.26/5.47 (![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))) <=> ![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25193,axiom,(![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32')).
% 7.26/5.47 tff(25194,plain,
% 7.26/5.47 (![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25193, 25192])).
% 7.26/5.47 tff(25195,plain,(
% 7.26/5.47 ![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 7.26/5.47 inference(skolemize,[status(sab)],[25194])).
% 7.26/5.47 tff(25196,plain,
% 7.26/5.47 (![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25195, 25191])).
% 7.26/5.47 tff(25197,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB13) <=> (v146(constB13) | v147(constB13)))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25198,plain,
% 7.26/5.47 (v145(constB13) <=> (v146(constB13) | v147(constB13))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25197, 25196])).
% 7.26/5.47 tff(25199,plain,
% 7.26/5.47 (^[VarCurr: state_type] : refl((v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2))))) <=> (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2))))))),
% 7.26/5.47 inference(bind,[status(th)],[])).
% 7.26/5.47 tff(25200,plain,
% 7.26/5.47 (![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2))))) <=> ![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))),
% 7.26/5.47 inference(quant_intro,[status(thm)],[25199])).
% 7.26/5.47 tff(25201,plain,
% 7.26/5.47 (^[VarCurr: state_type] : rewrite((v146(VarCurr) <=> (v88(VarCurr, 2) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0)))) <=> (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2))))))),
% 7.26/5.47 inference(bind,[status(th)],[])).
% 7.26/5.47 tff(25202,plain,
% 7.26/5.47 (![VarCurr: state_type] : (v146(VarCurr) <=> (v88(VarCurr, 2) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))),
% 7.26/5.47 inference(quant_intro,[status(thm)],[25201])).
% 7.26/5.47 tff(25203,plain,
% 7.26/5.47 (![VarCurr: state_type] : (v146(VarCurr) <=> (v88(VarCurr, 2) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v146(VarCurr) <=> (v88(VarCurr, 2) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0))))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25204,plain,
% 7.26/5.47 (^[VarCurr: state_type] : rewrite((v146(VarCurr) <=> (((v88(VarCurr, 2) <=> $true) & (v88(VarCurr, 1) <=> $false)) & (v88(VarCurr, 0) <=> $false))) <=> (v146(VarCurr) <=> (v88(VarCurr, 2) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0)))))),
% 7.26/5.47 inference(bind,[status(th)],[])).
% 7.26/5.47 tff(25205,plain,
% 7.26/5.47 (![VarCurr: state_type] : (v146(VarCurr) <=> (((v88(VarCurr, 2) <=> $true) & (v88(VarCurr, 1) <=> $false)) & (v88(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v146(VarCurr) <=> (v88(VarCurr, 2) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0))))),
% 7.26/5.47 inference(quant_intro,[status(thm)],[25204])).
% 7.26/5.47 tff(25206,axiom,(![VarCurr: state_type] : (v146(VarCurr) <=> (((v88(VarCurr, 2) <=> $true) & (v88(VarCurr, 1) <=> $false)) & (v88(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_14')).
% 7.26/5.47 tff(25207,plain,
% 7.26/5.47 (![VarCurr: state_type] : (v146(VarCurr) <=> (v88(VarCurr, 2) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0))))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25206, 25205])).
% 7.26/5.47 tff(25208,plain,
% 7.26/5.47 (![VarCurr: state_type] : (v146(VarCurr) <=> (v88(VarCurr, 2) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0))))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25207, 25203])).
% 7.26/5.47 tff(25209,plain,(
% 7.26/5.47 ![VarCurr: state_type] : (v146(VarCurr) <=> (v88(VarCurr, 2) & (~v88(VarCurr, 1)) & (~v88(VarCurr, 0))))),
% 7.26/5.47 inference(skolemize,[status(sab)],[25208])).
% 7.26/5.47 tff(25210,plain,
% 7.26/5.47 (![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25209, 25202])).
% 7.26/5.47 tff(25211,plain,
% 7.26/5.47 (![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25210, 25200])).
% 7.26/5.47 tff(25212,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB13) <=> (~(v88(constB13, 1) | (~v88(constB13, 2)) | v88(constB13, 0))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB13) <=> (~(v88(constB13, 1) | (~v88(constB13, 2)) | v88(constB13, 0)))))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25213,plain,
% 7.26/5.47 ((v146(constB13) <=> (~(v88(constB13, 0) | v88(constB13, 1) | (~v88(constB13, 2))))) <=> (v146(constB13) <=> (~(v88(constB13, 1) | (~v88(constB13, 2)) | v88(constB13, 0))))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25214,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB13) <=> (~(v88(constB13, 0) | v88(constB13, 1) | (~v88(constB13, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB13) <=> (~(v88(constB13, 1) | (~v88(constB13, 2)) | v88(constB13, 0)))))),
% 7.26/5.47 inference(monotonicity,[status(thm)],[25213])).
% 7.26/5.47 tff(25215,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB13) <=> (~(v88(constB13, 0) | v88(constB13, 1) | (~v88(constB13, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB13) <=> (~(v88(constB13, 1) | (~v88(constB13, 2)) | v88(constB13, 0)))))),
% 7.26/5.47 inference(transitivity,[status(thm)],[25214, 25212])).
% 7.26/5.47 tff(25216,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB13) <=> (~(v88(constB13, 0) | v88(constB13, 1) | (~v88(constB13, 2)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25217,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB13) <=> (~(v88(constB13, 1) | (~v88(constB13, 2)) | v88(constB13, 0))))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25216, 25215])).
% 7.26/5.47 tff(25218,plain,
% 7.26/5.47 (v146(constB13) <=> (~(v88(constB13, 1) | (~v88(constB13, 2)) | v88(constB13, 0)))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25217, 25211])).
% 7.26/5.47 tff(25219,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB13, 1)) <=> v90(constB13, 1)) | ((~v88(constB13, 2)) <=> v90(constB13, 2)) | ((~v88(constB13, 0)) <=> v90(constB13, 0))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25220,plain,
% 7.26/5.47 (~(((~v88(constB13, 1)) <=> v90(constB13, 1)) | ((~v88(constB13, 2)) <=> v90(constB13, 2)) | ((~v88(constB13, 0)) <=> v90(constB13, 0)))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25219, 256])).
% 7.26/5.47 tff(25221,plain,
% 7.26/5.47 ((((~v88(constB13, 1)) <=> v90(constB13, 1)) | ((~v88(constB13, 2)) <=> v90(constB13, 2)) | ((~v88(constB13, 0)) <=> v90(constB13, 0))) | (~((~v88(constB13, 2)) <=> v90(constB13, 2)))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25222,plain,
% 7.26/5.47 (~((~v88(constB13, 2)) <=> v90(constB13, 2))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25221, 25220])).
% 7.26/5.47 tff(25223,plain,
% 7.26/5.47 (((~v88(constB13, 2)) <=> v90(constB13, 2)) | v88(constB13, 2) | (~v90(constB13, 2))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25224,plain,
% 7.26/5.47 (v88(constB13, 2)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25223, 5697, 25222])).
% 7.26/5.47 tff(25225,plain,
% 7.26/5.47 ((((~v88(constB13, 1)) <=> v90(constB13, 1)) | ((~v88(constB13, 2)) <=> v90(constB13, 2)) | ((~v88(constB13, 0)) <=> v90(constB13, 0))) | (~((~v88(constB13, 0)) <=> v90(constB13, 0)))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25226,plain,
% 7.26/5.47 (~((~v88(constB13, 0)) <=> v90(constB13, 0))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25225, 25220])).
% 7.26/5.47 tff(25227,plain,
% 7.26/5.47 (((~v88(constB13, 0)) <=> v90(constB13, 0)) | (~v88(constB13, 0)) | v90(constB13, 0)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25228,plain,
% 7.26/5.47 (~v88(constB13, 0)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25227, 5715, 25226])).
% 7.26/5.47 tff(25229,plain,
% 7.26/5.47 ((((~v88(constB13, 1)) <=> v90(constB13, 1)) | ((~v88(constB13, 2)) <=> v90(constB13, 2)) | ((~v88(constB13, 0)) <=> v90(constB13, 0))) | (~((~v88(constB13, 1)) <=> v90(constB13, 1)))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25230,plain,
% 7.26/5.47 (~((~v88(constB13, 1)) <=> v90(constB13, 1))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25229, 25220])).
% 7.26/5.47 tff(25231,plain,
% 7.26/5.47 (((~v88(constB13, 1)) <=> v90(constB13, 1)) | (~v88(constB13, 1)) | v90(constB13, 1)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25232,plain,
% 7.26/5.47 (~v88(constB13, 1)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25231, 5733, 25230])).
% 7.26/5.47 tff(25233,plain,
% 7.26/5.47 ((~(v88(constB13, 1) | (~v88(constB13, 2)) | v88(constB13, 0))) | v88(constB13, 1) | (~v88(constB13, 2)) | v88(constB13, 0)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25234,plain,
% 7.26/5.47 (~(v88(constB13, 1) | (~v88(constB13, 2)) | v88(constB13, 0))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25233, 25232, 25228, 25224])).
% 7.26/5.47 tff(25235,plain,
% 7.26/5.47 ((~(v146(constB13) <=> (~(v88(constB13, 1) | (~v88(constB13, 2)) | v88(constB13, 0))))) | v146(constB13) | (v88(constB13, 1) | (~v88(constB13, 2)) | v88(constB13, 0))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25236,plain,
% 7.26/5.47 (v146(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25235, 25234, 25218])).
% 7.26/5.47 tff(25237,plain,
% 7.26/5.47 ((v146(constB13) | v147(constB13)) | (~v146(constB13))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25238,plain,
% 7.26/5.47 (v146(constB13) | v147(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25237, 25236])).
% 7.26/5.47 tff(25239,plain,
% 7.26/5.47 ((~(v145(constB13) <=> (v146(constB13) | v147(constB13)))) | v145(constB13) | (~(v146(constB13) | v147(constB13)))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25240,plain,
% 7.26/5.47 (v145(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25239, 25238, 25198])).
% 7.26/5.47 tff(25241,plain,
% 7.26/5.47 ((v145(constB13) | v167(constB13)) | (~v145(constB13))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25242,plain,
% 7.26/5.47 (v145(constB13) | v167(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25241, 25240])).
% 7.26/5.47 tff(25243,plain,
% 7.26/5.47 ((~(v166(constB13) <=> (v145(constB13) | v167(constB13)))) | v166(constB13) | (~(v145(constB13) | v167(constB13)))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25244,plain,
% 7.26/5.47 ((~(v166(constB13) <=> (v145(constB13) | v167(constB13)))) | v166(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25243, 25242])).
% 7.26/5.47 tff(25245,plain,
% 7.26/5.47 (v166(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25244, 25189])).
% 7.26/5.47 tff(25246,plain,
% 7.26/5.47 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB13)) | (v163(constB13) <=> v170(constB13)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB13)) | (v163(constB13) <=> v170(constB13)))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25247,plain,
% 7.26/5.47 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB13)) | (v163(constB13) <=> v170(constB13)))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25248,plain,
% 7.26/5.47 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB13)) | (v163(constB13) <=> v170(constB13))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25247, 25246])).
% 7.26/5.47 tff(25249,plain,
% 7.26/5.47 ((~v166(constB13)) | (v163(constB13) <=> v170(constB13))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25248, 15777])).
% 7.26/5.47 tff(25250,plain,
% 7.26/5.47 (v163(constB13) <=> v170(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25249, 25245])).
% 7.26/5.47 tff(25251,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB13) <=> (~(v88(constB13, 0) | v88(constB13, 1) | v88(constB13, 2))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25252,plain,
% 7.26/5.47 (v139(constB13) <=> (~(v88(constB13, 0) | v88(constB13, 1) | v88(constB13, 2)))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25251, 15795])).
% 7.26/5.47 tff(25253,plain,
% 7.26/5.47 ((v88(constB13, 0) | v88(constB13, 1) | v88(constB13, 2)) | (~v88(constB13, 2))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25254,plain,
% 7.26/5.47 (v88(constB13, 0) | v88(constB13, 1) | v88(constB13, 2)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25253, 25224])).
% 7.26/5.47 tff(25255,plain,
% 7.26/5.47 ((~(v139(constB13) <=> (~(v88(constB13, 0) | v88(constB13, 1) | v88(constB13, 2))))) | (~v139(constB13)) | (~(v88(constB13, 0) | v88(constB13, 1) | v88(constB13, 2)))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25256,plain,
% 7.26/5.47 (~v139(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25255, 25254, 25252])).
% 7.26/5.47 tff(25257,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB13) <=> (~(v88(constB13, 1) | v88(constB13, 2) | (~v88(constB13, 0)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25258,plain,
% 7.26/5.47 (v140(constB13) <=> (~(v88(constB13, 1) | v88(constB13, 2) | (~v88(constB13, 0))))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25257, 15814])).
% 7.26/5.47 tff(25259,plain,
% 7.26/5.47 ((v88(constB13, 1) | v88(constB13, 2) | (~v88(constB13, 0))) | (~v88(constB13, 2))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25260,plain,
% 7.26/5.47 (v88(constB13, 1) | v88(constB13, 2) | (~v88(constB13, 0))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25259, 25224])).
% 7.26/5.47 tff(25261,plain,
% 7.26/5.47 ((~(v140(constB13) <=> (~(v88(constB13, 1) | v88(constB13, 2) | (~v88(constB13, 0)))))) | (~v140(constB13)) | (~(v88(constB13, 1) | v88(constB13, 2) | (~v88(constB13, 0))))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25262,plain,
% 7.26/5.47 (~v140(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25261, 25260, 25258])).
% 7.26/5.47 tff(25263,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB13) | v139(constB13) | (~v170(constB13)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB13) | v139(constB13) | (~v170(constB13)))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25264,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB13) | v139(constB13) | (~v170(constB13)))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25265,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB13) | v139(constB13) | (~v170(constB13))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25264, 25263])).
% 7.26/5.47 tff(25266,plain,
% 7.26/5.47 (v140(constB13) | v139(constB13) | (~v170(constB13))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25265, 15833])).
% 7.26/5.47 tff(25267,plain,
% 7.26/5.47 (~v170(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25266, 25262, 25256])).
% 7.26/5.47 tff(25268,plain,
% 7.26/5.47 ((~(v163(constB13) <=> v170(constB13))) | (~v163(constB13)) | v170(constB13)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25269,plain,
% 7.26/5.47 ((~(v163(constB13) <=> v170(constB13))) | (~v163(constB13))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25268, 25267])).
% 7.26/5.47 tff(25270,plain,
% 7.26/5.47 (~v163(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25269, 25250])).
% 7.26/5.47 tff(25271,plain,
% 7.26/5.47 ((~(v161(constB13) <=> v163(constB13))) | (~v161(constB13)) | v163(constB13)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25272,plain,
% 7.26/5.47 ((~(v161(constB13) <=> v163(constB13))) | (~v161(constB13))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25271, 25270])).
% 7.26/5.47 tff(25273,plain,
% 7.26/5.47 (~v161(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25272, 25187])).
% 7.26/5.47 tff(25274,plain,
% 7.26/5.47 (((~v185(constB13)) | (~v161(constB13))) | v161(constB13)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25275,plain,
% 7.26/5.47 ((~v185(constB13)) | (~v161(constB13))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25274, 25273])).
% 7.26/5.47 tff(25276,plain,
% 7.26/5.47 ((~(v184(constB13) <=> (~((~v185(constB13)) | (~v161(constB13)))))) | (~v184(constB13)) | (~((~v185(constB13)) | (~v161(constB13))))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25277,plain,
% 7.26/5.47 (~v184(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25276, 25275, 25185])).
% 7.26/5.47 tff(25278,plain,
% 7.26/5.47 (((~v183(constB13)) | (~v184(constB13))) | v184(constB13)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25279,plain,
% 7.26/5.47 ((~v183(constB13)) | (~v184(constB13))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25278, 25277])).
% 7.26/5.47 tff(25280,plain,
% 7.26/5.47 ((~(v180(constB13) <=> (~((~v183(constB13)) | (~v184(constB13)))))) | (~v180(constB13)) | (~((~v183(constB13)) | (~v184(constB13))))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25281,plain,
% 7.26/5.47 (~v180(constB13)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25280, 25279, 25183])).
% 7.26/5.47 tff(25282,plain,
% 7.26/5.47 ((~(v182(constB14) <=> v180(constB13))) | (~v182(constB14)) | v180(constB13)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25283,plain,
% 7.26/5.47 (~v182(constB14)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25282, 25281, 25181])).
% 7.26/5.47 tff(25284,plain,
% 7.26/5.47 ((~(v159(constB14) <=> v182(constB14))) | (~v159(constB14)) | v182(constB14)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25285,plain,
% 7.26/5.47 (~v159(constB14)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25284, 25283, 25177])).
% 7.26/5.47 tff(25286,plain,
% 7.26/5.47 (((~v159(constB14)) | (~v194(constB14))) | v159(constB14)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25287,plain,
% 7.26/5.47 ((~v159(constB14)) | (~v194(constB14))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25286, 25285])).
% 7.26/5.47 tff(25288,plain,
% 7.26/5.47 ((~(v196(constB14) <=> (~((~v159(constB14)) | (~v194(constB14)))))) | (~v196(constB14)) | (~((~v159(constB14)) | (~v194(constB14))))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25289,plain,
% 7.26/5.47 (~v196(constB14)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25288, 25287, 25175])).
% 7.26/5.47 tff(25290,plain,
% 7.26/5.47 ((~(v193(constB14) | v196(constB14))) | v193(constB14) | v196(constB14)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25291,plain,
% 7.26/5.47 (~(v193(constB14) | v196(constB14))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25290, 25289, 25168])).
% 7.26/5.47 tff(25292,plain,
% 7.26/5.47 ((~(v190(constB14) <=> (v193(constB14) | v196(constB14)))) | (~v190(constB14)) | (v193(constB14) | v196(constB14))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25293,plain,
% 7.26/5.47 (~v190(constB14)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25292, 25291, 25022])).
% 7.26/5.47 tff(25294,plain,
% 7.26/5.47 ((~(v192(constB15) <=> v190(constB14))) | (~v192(constB15)) | v190(constB14)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25295,plain,
% 7.26/5.47 (~v192(constB15)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25294, 25293, 25020])).
% 7.26/5.47 tff(25296,plain,
% 7.26/5.47 ((~(v157(constB15) <=> v192(constB15))) | (~v157(constB15)) | v192(constB15)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25297,plain,
% 7.26/5.47 (~v157(constB15)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25296, 25295, 25016])).
% 7.26/5.47 tff(25298,plain,
% 7.26/5.47 (((~v157(constB15)) | (~v202(constB15))) | v157(constB15)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25299,plain,
% 7.26/5.47 ((~v157(constB15)) | (~v202(constB15))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25298, 25297])).
% 7.26/5.47 tff(25300,plain,
% 7.26/5.47 ((~(v201(constB15) <=> (~((~v157(constB15)) | (~v202(constB15)))))) | (~v201(constB15)) | (~((~v157(constB15)) | (~v202(constB15))))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25301,plain,
% 7.26/5.47 (~v201(constB15)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25300, 25299, 25014])).
% 7.26/5.47 tff(25302,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB15) <=> (~((~v159(constB15)) | (~v202(constB15)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB15) <=> (~((~v159(constB15)) | (~v202(constB15))))))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25303,plain,
% 7.26/5.47 ((v205(constB15) <=> (~((~v202(constB15)) | (~v159(constB15))))) <=> (v205(constB15) <=> (~((~v159(constB15)) | (~v202(constB15)))))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25304,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB15) <=> (~((~v202(constB15)) | (~v159(constB15)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB15) <=> (~((~v159(constB15)) | (~v202(constB15))))))),
% 7.26/5.47 inference(monotonicity,[status(thm)],[25303])).
% 7.26/5.47 tff(25305,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB15) <=> (~((~v202(constB15)) | (~v159(constB15)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB15) <=> (~((~v159(constB15)) | (~v202(constB15))))))),
% 7.26/5.47 inference(transitivity,[status(thm)],[25304, 25302])).
% 7.26/5.47 tff(25306,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB15) <=> (~((~v202(constB15)) | (~v159(constB15)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25307,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB15) <=> (~((~v159(constB15)) | (~v202(constB15)))))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25306, 25305])).
% 7.26/5.47 tff(25308,plain,
% 7.26/5.47 (v205(constB15) <=> (~((~v159(constB15)) | (~v202(constB15))))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25307, 138])).
% 7.26/5.47 tff(25309,plain,
% 7.26/5.47 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB15) <=> v182(constB15))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25310,plain,
% 7.26/5.47 (v159(constB15) <=> v182(constB15)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25309, 15113])).
% 7.26/5.47 tff(25311,plain,
% 7.26/5.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB14, constB15)) | (v182(constB15) <=> v180(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB14, constB15)) | (v182(constB15) <=> v180(constB14)))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25312,plain,
% 7.26/5.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB14, constB15)) | (v182(constB15) <=> v180(constB14)))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25313,plain,
% 7.26/5.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB14, constB15)) | (v182(constB15) <=> v180(constB14))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25312, 25311])).
% 7.26/5.47 tff(25314,plain,
% 7.26/5.47 (v182(constB15) <=> v180(constB14)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25313, 4055, 15125])).
% 7.26/5.47 tff(25315,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB14) <=> (~((~v183(constB14)) | (~v184(constB14)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25316,plain,
% 7.26/5.47 (v180(constB14) <=> (~((~v183(constB14)) | (~v184(constB14))))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25315, 15139])).
% 7.26/5.47 tff(25317,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB14) <=> (~((~v185(constB14)) | (~v161(constB14)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25318,plain,
% 7.26/5.47 (v184(constB14) <=> (~((~v185(constB14)) | (~v161(constB14))))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25317, 15151])).
% 7.26/5.47 tff(25319,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25320,plain,
% 7.26/5.47 (v185(constB14) <=> (~((~v39(constB14)) | (~v9(constB14))))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25319, 93])).
% 7.26/5.47 tff(25321,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB14)) <=> v1(constB14))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25322,plain,
% 7.26/5.47 ((~v39(constB14)) <=> v1(constB14)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25321, 102])).
% 7.26/5.47 tff(25323,plain,
% 7.26/5.47 ((~((~v39(constB14)) <=> v1(constB14))) | (~v39(constB14)) | (~v1(constB14))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25324,plain,
% 7.26/5.47 ((~((~v39(constB14)) <=> v1(constB14))) | (~v39(constB14))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25323, 5775])).
% 7.26/5.47 tff(25325,plain,
% 7.26/5.47 (~v39(constB14)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25324, 25322])).
% 7.26/5.47 tff(25326,plain,
% 7.26/5.47 (((~v39(constB14)) | (~v9(constB14))) | v39(constB14)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25327,plain,
% 7.26/5.47 ((~v39(constB14)) | (~v9(constB14))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25326, 25325])).
% 7.26/5.47 tff(25328,plain,
% 7.26/5.47 ((~(v185(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))) | (~v185(constB14)) | (~((~v39(constB14)) | (~v9(constB14))))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25329,plain,
% 7.26/5.47 ((~(v185(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))) | (~v185(constB14))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25328, 25327])).
% 7.26/5.47 tff(25330,plain,
% 7.26/5.47 (~v185(constB14)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25329, 25320])).
% 7.26/5.47 tff(25331,plain,
% 7.26/5.47 (((~v185(constB14)) | (~v161(constB14))) | v185(constB14)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25332,plain,
% 7.26/5.47 ((~v185(constB14)) | (~v161(constB14))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25331, 25330])).
% 7.26/5.47 tff(25333,plain,
% 7.26/5.47 ((~(v184(constB14) <=> (~((~v185(constB14)) | (~v161(constB14)))))) | (~v184(constB14)) | (~((~v185(constB14)) | (~v161(constB14))))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25334,plain,
% 7.26/5.47 ((~(v184(constB14) <=> (~((~v185(constB14)) | (~v161(constB14)))))) | (~v184(constB14))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25333, 25332])).
% 7.26/5.47 tff(25335,plain,
% 7.26/5.47 (~v184(constB14)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25334, 25318])).
% 7.26/5.47 tff(25336,plain,
% 7.26/5.47 (((~v183(constB14)) | (~v184(constB14))) | v184(constB14)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25337,plain,
% 7.26/5.47 ((~v183(constB14)) | (~v184(constB14))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25336, 25335])).
% 7.26/5.47 tff(25338,plain,
% 7.26/5.47 ((~(v180(constB14) <=> (~((~v183(constB14)) | (~v184(constB14)))))) | (~v180(constB14)) | (~((~v183(constB14)) | (~v184(constB14))))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25339,plain,
% 7.26/5.47 (~v180(constB14)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25338, 25337, 25316])).
% 7.26/5.47 tff(25340,plain,
% 7.26/5.47 ((~(v182(constB15) <=> v180(constB14))) | (~v182(constB15)) | v180(constB14)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25341,plain,
% 7.26/5.47 (~v182(constB15)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25340, 25339, 25314])).
% 7.26/5.47 tff(25342,plain,
% 7.26/5.47 ((~(v159(constB15) <=> v182(constB15))) | (~v159(constB15)) | v182(constB15)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25343,plain,
% 7.26/5.47 (~v159(constB15)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25342, 25341, 25310])).
% 7.26/5.47 tff(25344,plain,
% 7.26/5.47 (((~v159(constB15)) | (~v202(constB15))) | v159(constB15)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25345,plain,
% 7.26/5.47 ((~v159(constB15)) | (~v202(constB15))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25344, 25343])).
% 7.26/5.47 tff(25346,plain,
% 7.26/5.47 ((~(v205(constB15) <=> (~((~v159(constB15)) | (~v202(constB15)))))) | (~v205(constB15)) | (~((~v159(constB15)) | (~v202(constB15))))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25347,plain,
% 7.26/5.47 (~v205(constB15)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25346, 25345, 25308])).
% 7.26/5.47 tff(25348,plain,
% 7.26/5.47 ((~(v201(constB15) | v205(constB15))) | v201(constB15) | v205(constB15)),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25349,plain,
% 7.26/5.47 ((~(v201(constB15) | v205(constB15))) | v201(constB15)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25348, 25347])).
% 7.26/5.47 tff(25350,plain,
% 7.26/5.47 (~(v201(constB15) | v205(constB15))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25349, 25301])).
% 7.26/5.47 tff(25351,plain,
% 7.26/5.47 ((~(v200(constB15) <=> (v201(constB15) | v205(constB15)))) | (~v200(constB15)) | (v201(constB15) | v205(constB15))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25352,plain,
% 7.26/5.47 (~v200(constB15)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25351, 25350, 25007])).
% 7.26/5.47 tff(25353,plain,
% 7.26/5.47 ($false),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25352, 25005])).
% 7.26/5.47 tff(25354,plain,(~(constB15 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.26/5.47 tff(25355,assumption,(constB55 = VarCurr!0), introduced(assumption)).
% 7.26/5.47 tff(25356,plain,
% 7.26/5.47 (v200(constB55) <=> v200(VarCurr!0)),
% 7.26/5.47 inference(monotonicity,[status(thm)],[25355])).
% 7.26/5.47 tff(25357,plain,
% 7.26/5.47 (v200(VarCurr!0) <=> v200(constB55)),
% 7.26/5.47 inference(symmetry,[status(thm)],[25356])).
% 7.26/5.47 tff(25358,plain,
% 7.26/5.47 (v200(constB55)),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[27, 25357])).
% 7.26/5.47 tff(25359,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB55) <=> (v201(constB55) | v205(constB55)))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25360,plain,
% 7.26/5.47 (v200(constB55) <=> (v201(constB55) | v205(constB55))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25359, 35])).
% 7.26/5.47 tff(25361,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB55) <=> (~((~v157(constB55)) | (~v202(constB55)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB55) <=> (~((~v157(constB55)) | (~v202(constB55))))))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25362,plain,
% 7.26/5.47 ((v201(constB55) <=> (~((~v202(constB55)) | (~v157(constB55))))) <=> (v201(constB55) <=> (~((~v157(constB55)) | (~v202(constB55)))))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25363,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB55) <=> (~((~v202(constB55)) | (~v157(constB55)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB55) <=> (~((~v157(constB55)) | (~v202(constB55))))))),
% 7.26/5.47 inference(monotonicity,[status(thm)],[25362])).
% 7.26/5.47 tff(25364,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB55) <=> (~((~v202(constB55)) | (~v157(constB55)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB55) <=> (~((~v157(constB55)) | (~v202(constB55))))))),
% 7.26/5.47 inference(transitivity,[status(thm)],[25363, 25361])).
% 7.26/5.47 tff(25365,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB55) <=> (~((~v202(constB55)) | (~v157(constB55)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25366,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB55) <=> (~((~v157(constB55)) | (~v202(constB55)))))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25365, 25364])).
% 7.26/5.47 tff(25367,plain,
% 7.26/5.47 (v201(constB55) <=> (~((~v157(constB55)) | (~v202(constB55))))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25366, 47])).
% 7.26/5.47 tff(25368,plain,
% 7.26/5.47 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB55) <=> v192(constB55))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25369,plain,
% 7.26/5.47 (v157(constB55) <=> v192(constB55)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25368, 15407])).
% 7.26/5.47 tff(25370,plain,
% 7.26/5.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB54, constB55)) | (v192(constB55) <=> v190(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB54, constB55)) | (v192(constB55) <=> v190(constB54)))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25371,plain,
% 7.26/5.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB54, constB55)) | (v192(constB55) <=> v190(constB54)))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25372,plain,
% 7.26/5.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB54, constB55)) | (v192(constB55) <=> v190(constB54))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25371, 25370])).
% 7.26/5.47 tff(25373,plain,
% 7.26/5.47 (v192(constB55) <=> v190(constB54)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25372, 2775, 15419])).
% 7.26/5.47 tff(25374,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB54) <=> (v193(constB54) | v196(constB54)))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25375,plain,
% 7.26/5.47 (v190(constB54) <=> (v193(constB54) | v196(constB54))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25374, 15430])).
% 7.26/5.47 tff(25376,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB54) <=> (~((~v157(constB54)) | (~v194(constB54)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB54) <=> (~((~v157(constB54)) | (~v194(constB54))))))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25377,plain,
% 7.26/5.47 ((v193(constB54) <=> (~((~v194(constB54)) | (~v157(constB54))))) <=> (v193(constB54) <=> (~((~v157(constB54)) | (~v194(constB54)))))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25378,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB54) <=> (~((~v194(constB54)) | (~v157(constB54)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB54) <=> (~((~v157(constB54)) | (~v194(constB54))))))),
% 7.26/5.47 inference(monotonicity,[status(thm)],[25377])).
% 7.26/5.47 tff(25379,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB54) <=> (~((~v194(constB54)) | (~v157(constB54)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB54) <=> (~((~v157(constB54)) | (~v194(constB54))))))),
% 7.26/5.47 inference(transitivity,[status(thm)],[25378, 25376])).
% 7.26/5.47 tff(25380,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB54) <=> (~((~v194(constB54)) | (~v157(constB54)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25381,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB54) <=> (~((~v157(constB54)) | (~v194(constB54)))))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25380, 25379])).
% 7.26/5.47 tff(25382,plain,
% 7.26/5.47 (v193(constB54) <=> (~((~v157(constB54)) | (~v194(constB54))))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25381, 15442])).
% 7.26/5.47 tff(25383,plain,
% 7.26/5.47 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB54) <=> v192(constB54))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25384,plain,
% 7.26/5.47 (v157(constB54) <=> v192(constB54)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25383, 15407])).
% 7.26/5.47 tff(25385,plain,
% 7.26/5.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB53, constB54)) | (v192(constB54) <=> v190(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB53, constB54)) | (v192(constB54) <=> v190(constB53)))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25386,plain,
% 7.26/5.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB53, constB54)) | (v192(constB54) <=> v190(constB53)))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25387,plain,
% 7.26/5.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB53, constB54)) | (v192(constB54) <=> v190(constB53))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25386, 25385])).
% 7.26/5.47 tff(25388,plain,
% 7.26/5.47 (v192(constB54) <=> v190(constB53)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25387, 2811, 15419])).
% 7.26/5.47 tff(25389,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB53) <=> (v193(constB53) | v196(constB53)))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25390,plain,
% 7.26/5.47 (v190(constB53) <=> (v193(constB53) | v196(constB53))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25389, 15430])).
% 7.26/5.47 tff(25391,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB53) <=> (~((~v159(constB53)) | (~v194(constB53)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB53) <=> (~((~v159(constB53)) | (~v194(constB53))))))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25392,plain,
% 7.26/5.47 ((v196(constB53) <=> (~((~v194(constB53)) | (~v159(constB53))))) <=> (v196(constB53) <=> (~((~v159(constB53)) | (~v194(constB53)))))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25393,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB53) <=> (~((~v194(constB53)) | (~v159(constB53)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB53) <=> (~((~v159(constB53)) | (~v194(constB53))))))),
% 7.26/5.47 inference(monotonicity,[status(thm)],[25392])).
% 7.26/5.47 tff(25394,plain,
% 7.26/5.47 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB53) <=> (~((~v194(constB53)) | (~v159(constB53)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB53) <=> (~((~v159(constB53)) | (~v194(constB53))))))),
% 7.26/5.47 inference(transitivity,[status(thm)],[25393, 25391])).
% 7.26/5.47 tff(25395,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB53) <=> (~((~v194(constB53)) | (~v159(constB53)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25396,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB53) <=> (~((~v159(constB53)) | (~v194(constB53)))))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25395, 25394])).
% 7.26/5.47 tff(25397,plain,
% 7.26/5.47 (v196(constB53) <=> (~((~v159(constB53)) | (~v194(constB53))))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25396, 15467])).
% 7.26/5.47 tff(25398,plain,
% 7.26/5.47 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB53) <=> v182(constB53))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25399,plain,
% 7.26/5.47 (v159(constB53) <=> v182(constB53)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25398, 15113])).
% 7.26/5.47 tff(25400,plain,
% 7.26/5.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB52, constB53)) | (v182(constB53) <=> v180(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB52, constB53)) | (v182(constB53) <=> v180(constB52)))),
% 7.26/5.47 inference(rewrite,[status(thm)],[])).
% 7.26/5.47 tff(25401,plain,
% 7.26/5.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB52, constB53)) | (v182(constB53) <=> v180(constB52)))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25402,plain,
% 7.26/5.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB52, constB53)) | (v182(constB53) <=> v180(constB52))),
% 7.26/5.47 inference(modus_ponens,[status(thm)],[25401, 25400])).
% 7.26/5.47 tff(25403,plain,
% 7.26/5.47 (v182(constB53) <=> v180(constB52)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25402, 2841, 15125])).
% 7.26/5.47 tff(25404,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB52) <=> (~((~v183(constB52)) | (~v184(constB52)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25405,plain,
% 7.26/5.47 (v180(constB52) <=> (~((~v183(constB52)) | (~v184(constB52))))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25404, 15139])).
% 7.26/5.47 tff(25406,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB52) <=> (~((~v185(constB52)) | (~v161(constB52)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25407,plain,
% 7.26/5.47 (v184(constB52) <=> (~((~v185(constB52)) | (~v161(constB52))))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25406, 15151])).
% 7.26/5.47 tff(25408,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25409,plain,
% 7.26/5.47 (v185(constB52) <=> (~((~v39(constB52)) | (~v9(constB52))))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25408, 93])).
% 7.26/5.47 tff(25410,plain,
% 7.26/5.47 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB52)) <=> v1(constB52))),
% 7.26/5.47 inference(quant_inst,[status(thm)],[])).
% 7.26/5.47 tff(25411,plain,
% 7.26/5.47 ((~v39(constB52)) <=> v1(constB52)),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25410, 102])).
% 7.26/5.47 tff(25412,plain,
% 7.26/5.47 ((~((~v39(constB52)) <=> v1(constB52))) | (~v39(constB52)) | (~v1(constB52))),
% 7.26/5.47 inference(tautology,[status(thm)],[])).
% 7.26/5.47 tff(25413,plain,
% 7.26/5.47 ((~((~v39(constB52)) <=> v1(constB52))) | (~v39(constB52))),
% 7.26/5.47 inference(unit_resolution,[status(thm)],[25412, 8827])).
% 7.29/5.48 tff(25414,plain,
% 7.29/5.48 (~v39(constB52)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25413, 25411])).
% 7.29/5.48 tff(25415,plain,
% 7.29/5.48 (((~v39(constB52)) | (~v9(constB52))) | v39(constB52)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25416,plain,
% 7.29/5.48 ((~v39(constB52)) | (~v9(constB52))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25415, 25414])).
% 7.29/5.48 tff(25417,plain,
% 7.29/5.48 ((~(v185(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))) | (~v185(constB52)) | (~((~v39(constB52)) | (~v9(constB52))))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25418,plain,
% 7.29/5.48 ((~(v185(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))) | (~v185(constB52))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25417, 25416])).
% 7.29/5.48 tff(25419,plain,
% 7.29/5.48 (~v185(constB52)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25418, 25409])).
% 7.29/5.48 tff(25420,plain,
% 7.29/5.48 (((~v185(constB52)) | (~v161(constB52))) | v185(constB52)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25421,plain,
% 7.29/5.48 ((~v185(constB52)) | (~v161(constB52))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25420, 25419])).
% 7.29/5.48 tff(25422,plain,
% 7.29/5.48 ((~(v184(constB52) <=> (~((~v185(constB52)) | (~v161(constB52)))))) | (~v184(constB52)) | (~((~v185(constB52)) | (~v161(constB52))))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25423,plain,
% 7.29/5.48 ((~(v184(constB52) <=> (~((~v185(constB52)) | (~v161(constB52)))))) | (~v184(constB52))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25422, 25421])).
% 7.29/5.48 tff(25424,plain,
% 7.29/5.48 (~v184(constB52)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25423, 25407])).
% 7.29/5.48 tff(25425,plain,
% 7.29/5.48 (((~v183(constB52)) | (~v184(constB52))) | v184(constB52)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25426,plain,
% 7.29/5.48 ((~v183(constB52)) | (~v184(constB52))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25425, 25424])).
% 7.29/5.48 tff(25427,plain,
% 7.29/5.48 ((~(v180(constB52) <=> (~((~v183(constB52)) | (~v184(constB52)))))) | (~v180(constB52)) | (~((~v183(constB52)) | (~v184(constB52))))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25428,plain,
% 7.29/5.48 (~v180(constB52)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25427, 25426, 25405])).
% 7.29/5.48 tff(25429,plain,
% 7.29/5.48 ((~(v182(constB53) <=> v180(constB52))) | (~v182(constB53)) | v180(constB52)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25430,plain,
% 7.29/5.48 (~v182(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25429, 25428, 25403])).
% 7.29/5.48 tff(25431,plain,
% 7.29/5.48 ((~(v159(constB53) <=> v182(constB53))) | (~v159(constB53)) | v182(constB53)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25432,plain,
% 7.29/5.48 (~v159(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25431, 25430, 25399])).
% 7.29/5.48 tff(25433,plain,
% 7.29/5.48 (((~v159(constB53)) | (~v194(constB53))) | v159(constB53)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25434,plain,
% 7.29/5.48 ((~v159(constB53)) | (~v194(constB53))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25433, 25432])).
% 7.29/5.48 tff(25435,plain,
% 7.29/5.48 ((~(v196(constB53) <=> (~((~v159(constB53)) | (~v194(constB53)))))) | (~v196(constB53)) | (~((~v159(constB53)) | (~v194(constB53))))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25436,plain,
% 7.29/5.48 (~v196(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25435, 25434, 25397])).
% 7.29/5.48 tff(25437,plain,
% 7.29/5.48 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB53) <=> (~((~v157(constB53)) | (~v194(constB53)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB53) <=> (~((~v157(constB53)) | (~v194(constB53))))))),
% 7.29/5.48 inference(rewrite,[status(thm)],[])).
% 7.29/5.48 tff(25438,plain,
% 7.29/5.48 ((v193(constB53) <=> (~((~v194(constB53)) | (~v157(constB53))))) <=> (v193(constB53) <=> (~((~v157(constB53)) | (~v194(constB53)))))),
% 7.29/5.48 inference(rewrite,[status(thm)],[])).
% 7.29/5.48 tff(25439,plain,
% 7.29/5.48 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB53) <=> (~((~v194(constB53)) | (~v157(constB53)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB53) <=> (~((~v157(constB53)) | (~v194(constB53))))))),
% 7.29/5.48 inference(monotonicity,[status(thm)],[25438])).
% 7.29/5.48 tff(25440,plain,
% 7.29/5.48 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB53) <=> (~((~v194(constB53)) | (~v157(constB53)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB53) <=> (~((~v157(constB53)) | (~v194(constB53))))))),
% 7.29/5.48 inference(transitivity,[status(thm)],[25439, 25437])).
% 7.29/5.48 tff(25441,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB53) <=> (~((~v194(constB53)) | (~v157(constB53)))))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25442,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB53) <=> (~((~v157(constB53)) | (~v194(constB53)))))),
% 7.29/5.48 inference(modus_ponens,[status(thm)],[25441, 25440])).
% 7.29/5.48 tff(25443,plain,
% 7.29/5.48 (v193(constB53) <=> (~((~v157(constB53)) | (~v194(constB53))))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25442, 15442])).
% 7.29/5.48 tff(25444,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB53)) <=> v195(constB53))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25445,plain,
% 7.29/5.48 ((~v194(constB53)) <=> v195(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25444, 15527])).
% 7.29/5.48 tff(25446,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB53) <=> (v185(constB53) | v26(constB53)))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25447,plain,
% 7.29/5.48 (v195(constB53) <=> (v185(constB53) | v26(constB53))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25446, 15536])).
% 7.29/5.48 tff(25448,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB53) <=> (~((~v39(constB53)) | (~v9(constB53)))))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25449,plain,
% 7.29/5.48 (v185(constB53) <=> (~((~v39(constB53)) | (~v9(constB53))))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25448, 93])).
% 7.29/5.48 tff(25450,plain,
% 7.29/5.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53)))),
% 7.29/5.48 inference(rewrite,[status(thm)],[])).
% 7.29/5.48 tff(25451,plain,
% 7.29/5.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53)))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25452,plain,
% 7.29/5.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53))),
% 7.29/5.48 inference(modus_ponens,[status(thm)],[25451, 25450])).
% 7.29/5.48 tff(25453,plain,
% 7.29/5.48 (v13(constB54) <=> v9(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25452, 2811, 15550])).
% 7.29/5.48 tff(25454,plain,
% 7.29/5.48 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB54) <=> v13(constB54))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25455,plain,
% 7.29/5.48 (v6(constB54) <=> v13(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25454, 15564])).
% 7.29/5.48 tff(25456,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB54)) <=> v6(constB54))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25457,plain,
% 7.29/5.48 ((~v21(constB54)) <=> v6(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25456, 15573])).
% 7.29/5.48 tff(25458,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB54) <=> (v20(constB54) | v21(constB54)))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25459,plain,
% 7.29/5.48 (v19(constB54) <=> (v20(constB54) | v21(constB54))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25458, 15582])).
% 7.29/5.48 tff(25460,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54)))))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25461,plain,
% 7.29/5.48 (v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54))))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25460, 15594])).
% 7.29/5.48 tff(25462,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB54)) <=> v18(constB54))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25463,plain,
% 7.29/5.48 ((~v4(constB54)) <=> v18(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25462, 15603])).
% 7.29/5.48 tff(25464,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB54)),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25465,plain,
% 7.29/5.48 (v4(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25464, 15612])).
% 7.29/5.48 tff(25466,plain,
% 7.29/5.48 ((~((~v4(constB54)) <=> v18(constB54))) | (~v4(constB54)) | (~v18(constB54))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25467,plain,
% 7.29/5.48 (~v18(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25466, 25465, 25463])).
% 7.29/5.48 tff(25468,plain,
% 7.29/5.48 ((~(v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54)))))) | v18(constB54) | ((~v19(constB54)) | (~v22(constB54)))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25469,plain,
% 7.29/5.48 ((~v19(constB54)) | (~v22(constB54))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25468, 25467, 25461])).
% 7.29/5.48 tff(25470,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB54) <=> (v1(constB54) | v6(constB54)))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25471,plain,
% 7.29/5.48 (v22(constB54) <=> (v1(constB54) | v6(constB54))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25470, 15625])).
% 7.29/5.48 tff(25472,plain,
% 7.29/5.48 ((v1(constB54) | v6(constB54)) | (~v1(constB54))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25473,plain,
% 7.29/5.48 (v1(constB54) | v6(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25472, 8973])).
% 7.29/5.48 tff(25474,plain,
% 7.29/5.48 ((~(v22(constB54) <=> (v1(constB54) | v6(constB54)))) | v22(constB54) | (~(v1(constB54) | v6(constB54)))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25475,plain,
% 7.29/5.48 ((~(v22(constB54) <=> (v1(constB54) | v6(constB54)))) | v22(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25474, 25473])).
% 7.29/5.48 tff(25476,plain,
% 7.29/5.48 (v22(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25475, 25471])).
% 7.29/5.48 tff(25477,plain,
% 7.29/5.48 ((~((~v19(constB54)) | (~v22(constB54)))) | (~v19(constB54)) | (~v22(constB54))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25478,plain,
% 7.29/5.48 ((~((~v19(constB54)) | (~v22(constB54)))) | (~v19(constB54))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25477, 25476])).
% 7.29/5.48 tff(25479,plain,
% 7.29/5.48 (~v19(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25478, 25469])).
% 7.29/5.48 tff(25480,plain,
% 7.29/5.48 ((~(v19(constB54) <=> (v20(constB54) | v21(constB54)))) | v19(constB54) | (~(v20(constB54) | v21(constB54)))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25481,plain,
% 7.29/5.48 (~(v20(constB54) | v21(constB54))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25480, 25479, 25459])).
% 7.29/5.48 tff(25482,plain,
% 7.29/5.48 ((v20(constB54) | v21(constB54)) | (~v21(constB54))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25483,plain,
% 7.29/5.48 (~v21(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25482, 25481])).
% 7.29/5.48 tff(25484,plain,
% 7.29/5.48 ((~((~v21(constB54)) <=> v6(constB54))) | v21(constB54) | v6(constB54)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25485,plain,
% 7.29/5.48 (v6(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25484, 25483, 25457])).
% 7.29/5.48 tff(25486,plain,
% 7.29/5.48 ((~(v6(constB54) <=> v13(constB54))) | (~v6(constB54)) | v13(constB54)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25487,plain,
% 7.29/5.48 (v13(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25486, 25485, 25455])).
% 7.29/5.48 tff(25488,plain,
% 7.29/5.48 ((~(v13(constB54) <=> v9(constB53))) | (~v13(constB54)) | v9(constB53)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25489,plain,
% 7.29/5.48 (v9(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25488, 25487, 25453])).
% 7.29/5.48 tff(25490,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB53)) <=> v1(constB53))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25491,plain,
% 7.29/5.48 ((~v39(constB53)) <=> v1(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25490, 102])).
% 7.29/5.48 tff(25492,plain,
% 7.29/5.48 ((~((~v39(constB53)) <=> v1(constB53))) | v39(constB53) | v1(constB53)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25493,plain,
% 7.29/5.48 ((~((~v39(constB53)) <=> v1(constB53))) | v39(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25492, 2855])).
% 7.29/5.48 tff(25494,plain,
% 7.29/5.48 (v39(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25493, 25491])).
% 7.29/5.48 tff(25495,plain,
% 7.29/5.48 ((~((~v39(constB53)) | (~v9(constB53)))) | (~v39(constB53)) | (~v9(constB53))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25496,plain,
% 7.29/5.48 ((~((~v39(constB53)) | (~v9(constB53)))) | (~v9(constB53))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25495, 25494])).
% 7.29/5.48 tff(25497,plain,
% 7.29/5.48 (~((~v39(constB53)) | (~v9(constB53)))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25496, 25489])).
% 7.29/5.48 tff(25498,plain,
% 7.29/5.48 ((~(v185(constB53) <=> (~((~v39(constB53)) | (~v9(constB53)))))) | v185(constB53) | ((~v39(constB53)) | (~v9(constB53)))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25499,plain,
% 7.29/5.48 (v185(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25498, 25497, 25449])).
% 7.29/5.48 tff(25500,plain,
% 7.29/5.48 ((v185(constB53) | v26(constB53)) | (~v185(constB53))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25501,plain,
% 7.29/5.48 (v185(constB53) | v26(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25500, 25499])).
% 7.29/5.48 tff(25502,plain,
% 7.29/5.48 ((~(v195(constB53) <=> (v185(constB53) | v26(constB53)))) | v195(constB53) | (~(v185(constB53) | v26(constB53)))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25503,plain,
% 7.29/5.48 (v195(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25502, 25501, 25447])).
% 7.29/5.48 tff(25504,plain,
% 7.29/5.48 ((~((~v194(constB53)) <=> v195(constB53))) | (~v194(constB53)) | (~v195(constB53))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25505,plain,
% 7.29/5.48 (~v194(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25504, 25503, 25445])).
% 7.29/5.48 tff(25506,plain,
% 7.29/5.48 (((~v157(constB53)) | (~v194(constB53))) | v194(constB53)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25507,plain,
% 7.29/5.48 ((~v157(constB53)) | (~v194(constB53))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25506, 25505])).
% 7.29/5.48 tff(25508,plain,
% 7.29/5.48 ((~(v193(constB53) <=> (~((~v157(constB53)) | (~v194(constB53)))))) | (~v193(constB53)) | (~((~v157(constB53)) | (~v194(constB53))))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25509,plain,
% 7.29/5.48 (~v193(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25508, 25507, 25443])).
% 7.29/5.48 tff(25510,plain,
% 7.29/5.48 ((~(v193(constB53) | v196(constB53))) | v193(constB53) | v196(constB53)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25511,plain,
% 7.29/5.48 (~(v193(constB53) | v196(constB53))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25510, 25509, 25436])).
% 7.29/5.48 tff(25512,plain,
% 7.29/5.48 ((~(v190(constB53) <=> (v193(constB53) | v196(constB53)))) | (~v190(constB53)) | (v193(constB53) | v196(constB53))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25513,plain,
% 7.29/5.48 (~v190(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25512, 25511, 25390])).
% 7.29/5.48 tff(25514,plain,
% 7.29/5.48 ((~(v192(constB54) <=> v190(constB53))) | (~v192(constB54)) | v190(constB53)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25515,plain,
% 7.29/5.48 (~v192(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25514, 25513, 25388])).
% 7.29/5.48 tff(25516,plain,
% 7.29/5.48 ((~(v157(constB54) <=> v192(constB54))) | (~v157(constB54)) | v192(constB54)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25517,plain,
% 7.29/5.48 (~v157(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25516, 25515, 25384])).
% 7.29/5.48 tff(25518,plain,
% 7.29/5.48 (((~v157(constB54)) | (~v194(constB54))) | v157(constB54)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25519,plain,
% 7.29/5.48 ((~v157(constB54)) | (~v194(constB54))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25518, 25517])).
% 7.29/5.48 tff(25520,plain,
% 7.29/5.48 ((~(v193(constB54) <=> (~((~v157(constB54)) | (~v194(constB54)))))) | (~v193(constB54)) | (~((~v157(constB54)) | (~v194(constB54))))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25521,plain,
% 7.29/5.48 (~v193(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25520, 25519, 25382])).
% 7.29/5.48 tff(25522,plain,
% 7.29/5.48 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB54) <=> (~((~v159(constB54)) | (~v194(constB54)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB54) <=> (~((~v159(constB54)) | (~v194(constB54))))))),
% 7.29/5.48 inference(rewrite,[status(thm)],[])).
% 7.29/5.48 tff(25523,plain,
% 7.29/5.48 ((v196(constB54) <=> (~((~v194(constB54)) | (~v159(constB54))))) <=> (v196(constB54) <=> (~((~v159(constB54)) | (~v194(constB54)))))),
% 7.29/5.48 inference(rewrite,[status(thm)],[])).
% 7.29/5.48 tff(25524,plain,
% 7.29/5.48 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB54) <=> (~((~v194(constB54)) | (~v159(constB54)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB54) <=> (~((~v159(constB54)) | (~v194(constB54))))))),
% 7.29/5.48 inference(monotonicity,[status(thm)],[25523])).
% 7.29/5.48 tff(25525,plain,
% 7.29/5.48 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB54) <=> (~((~v194(constB54)) | (~v159(constB54)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB54) <=> (~((~v159(constB54)) | (~v194(constB54))))))),
% 7.29/5.48 inference(transitivity,[status(thm)],[25524, 25522])).
% 7.29/5.48 tff(25526,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB54) <=> (~((~v194(constB54)) | (~v159(constB54)))))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25527,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB54) <=> (~((~v159(constB54)) | (~v194(constB54)))))),
% 7.29/5.48 inference(modus_ponens,[status(thm)],[25526, 25525])).
% 7.29/5.48 tff(25528,plain,
% 7.29/5.48 (v196(constB54) <=> (~((~v159(constB54)) | (~v194(constB54))))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25527, 15467])).
% 7.29/5.48 tff(25529,plain,
% 7.29/5.48 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB54) <=> v182(constB54))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25530,plain,
% 7.29/5.48 (v159(constB54) <=> v182(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25529, 15113])).
% 7.29/5.48 tff(25531,plain,
% 7.29/5.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB53, constB54)) | (v182(constB54) <=> v180(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB53, constB54)) | (v182(constB54) <=> v180(constB53)))),
% 7.29/5.48 inference(rewrite,[status(thm)],[])).
% 7.29/5.48 tff(25532,plain,
% 7.29/5.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB53, constB54)) | (v182(constB54) <=> v180(constB53)))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25533,plain,
% 7.29/5.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB53, constB54)) | (v182(constB54) <=> v180(constB53))),
% 7.29/5.48 inference(modus_ponens,[status(thm)],[25532, 25531])).
% 7.29/5.48 tff(25534,plain,
% 7.29/5.48 (v182(constB54) <=> v180(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25533, 2811, 15125])).
% 7.29/5.48 tff(25535,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB53) <=> (~((~v183(constB53)) | (~v184(constB53)))))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25536,plain,
% 7.29/5.48 (v180(constB53) <=> (~((~v183(constB53)) | (~v184(constB53))))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25535, 15139])).
% 7.29/5.48 tff(25537,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB53) <=> (~((~v185(constB53)) | (~v161(constB53)))))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25538,plain,
% 7.29/5.48 (v184(constB53) <=> (~((~v185(constB53)) | (~v161(constB53))))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25537, 15151])).
% 7.29/5.48 tff(25539,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB53) <=> v163(constB53))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25540,plain,
% 7.29/5.48 (v161(constB53) <=> v163(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25539, 15701])).
% 7.29/5.48 tff(25541,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB53) <=> (v145(constB53) | v167(constB53)))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25542,plain,
% 7.29/5.48 (v166(constB53) <=> (v145(constB53) | v167(constB53))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25541, 15713])).
% 7.29/5.48 tff(25543,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB53) <=> (v146(constB53) | v147(constB53)))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25544,plain,
% 7.29/5.48 (v145(constB53) <=> (v146(constB53) | v147(constB53))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25543, 25196])).
% 7.29/5.48 tff(25545,plain,
% 7.29/5.48 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB53) <=> (~(v88(constB53, 1) | (~v88(constB53, 2)) | v88(constB53, 0))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB53) <=> (~(v88(constB53, 1) | (~v88(constB53, 2)) | v88(constB53, 0)))))),
% 7.29/5.48 inference(rewrite,[status(thm)],[])).
% 7.29/5.48 tff(25546,plain,
% 7.29/5.48 ((v146(constB53) <=> (~(v88(constB53, 0) | v88(constB53, 1) | (~v88(constB53, 2))))) <=> (v146(constB53) <=> (~(v88(constB53, 1) | (~v88(constB53, 2)) | v88(constB53, 0))))),
% 7.29/5.48 inference(rewrite,[status(thm)],[])).
% 7.29/5.48 tff(25547,plain,
% 7.29/5.48 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB53) <=> (~(v88(constB53, 0) | v88(constB53, 1) | (~v88(constB53, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB53) <=> (~(v88(constB53, 1) | (~v88(constB53, 2)) | v88(constB53, 0)))))),
% 7.29/5.48 inference(monotonicity,[status(thm)],[25546])).
% 7.29/5.48 tff(25548,plain,
% 7.29/5.48 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB53) <=> (~(v88(constB53, 0) | v88(constB53, 1) | (~v88(constB53, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB53) <=> (~(v88(constB53, 1) | (~v88(constB53, 2)) | v88(constB53, 0)))))),
% 7.29/5.48 inference(transitivity,[status(thm)],[25547, 25545])).
% 7.29/5.48 tff(25549,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB53) <=> (~(v88(constB53, 0) | v88(constB53, 1) | (~v88(constB53, 2)))))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25550,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB53) <=> (~(v88(constB53, 1) | (~v88(constB53, 2)) | v88(constB53, 0))))),
% 7.29/5.48 inference(modus_ponens,[status(thm)],[25549, 25548])).
% 7.29/5.48 tff(25551,plain,
% 7.29/5.48 (v146(constB53) <=> (~(v88(constB53, 1) | (~v88(constB53, 2)) | v88(constB53, 0)))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25550, 25211])).
% 7.29/5.48 tff(25552,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB53, 1)) <=> v90(constB53, 1)) | ((~v88(constB53, 2)) <=> v90(constB53, 2)) | ((~v88(constB53, 0)) <=> v90(constB53, 0))))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25553,plain,
% 7.29/5.48 (~(((~v88(constB53, 1)) <=> v90(constB53, 1)) | ((~v88(constB53, 2)) <=> v90(constB53, 2)) | ((~v88(constB53, 0)) <=> v90(constB53, 0)))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25552, 256])).
% 7.29/5.48 tff(25554,plain,
% 7.29/5.48 ((((~v88(constB53, 1)) <=> v90(constB53, 1)) | ((~v88(constB53, 2)) <=> v90(constB53, 2)) | ((~v88(constB53, 0)) <=> v90(constB53, 0))) | (~((~v88(constB53, 2)) <=> v90(constB53, 2)))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25555,plain,
% 7.29/5.48 (~((~v88(constB53, 2)) <=> v90(constB53, 2))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25554, 25553])).
% 7.29/5.48 tff(25556,plain,
% 7.29/5.48 (((~v88(constB53, 2)) <=> v90(constB53, 2)) | v88(constB53, 2) | (~v90(constB53, 2))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25557,plain,
% 7.29/5.48 (v88(constB53, 2)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25556, 8895, 25555])).
% 7.29/5.48 tff(25558,plain,
% 7.29/5.48 ((((~v88(constB53, 1)) <=> v90(constB53, 1)) | ((~v88(constB53, 2)) <=> v90(constB53, 2)) | ((~v88(constB53, 0)) <=> v90(constB53, 0))) | (~((~v88(constB53, 0)) <=> v90(constB53, 0)))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25559,plain,
% 7.29/5.48 (~((~v88(constB53, 0)) <=> v90(constB53, 0))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25558, 25553])).
% 7.29/5.48 tff(25560,plain,
% 7.29/5.48 (((~v88(constB53, 0)) <=> v90(constB53, 0)) | (~v88(constB53, 0)) | v90(constB53, 0)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25561,plain,
% 7.29/5.48 (~v88(constB53, 0)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25560, 8913, 25559])).
% 7.29/5.48 tff(25562,plain,
% 7.29/5.48 ((((~v88(constB53, 1)) <=> v90(constB53, 1)) | ((~v88(constB53, 2)) <=> v90(constB53, 2)) | ((~v88(constB53, 0)) <=> v90(constB53, 0))) | (~((~v88(constB53, 1)) <=> v90(constB53, 1)))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25563,plain,
% 7.29/5.48 (~((~v88(constB53, 1)) <=> v90(constB53, 1))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25562, 25553])).
% 7.29/5.48 tff(25564,plain,
% 7.29/5.48 (((~v88(constB53, 1)) <=> v90(constB53, 1)) | (~v88(constB53, 1)) | v90(constB53, 1)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25565,plain,
% 7.29/5.48 (~v88(constB53, 1)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25564, 8931, 25563])).
% 7.29/5.48 tff(25566,plain,
% 7.29/5.48 ((~(v88(constB53, 1) | (~v88(constB53, 2)) | v88(constB53, 0))) | v88(constB53, 1) | (~v88(constB53, 2)) | v88(constB53, 0)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25567,plain,
% 7.29/5.48 (~(v88(constB53, 1) | (~v88(constB53, 2)) | v88(constB53, 0))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25566, 25565, 25561, 25557])).
% 7.29/5.48 tff(25568,plain,
% 7.29/5.48 ((~(v146(constB53) <=> (~(v88(constB53, 1) | (~v88(constB53, 2)) | v88(constB53, 0))))) | v146(constB53) | (v88(constB53, 1) | (~v88(constB53, 2)) | v88(constB53, 0))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25569,plain,
% 7.29/5.48 (v146(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25568, 25567, 25551])).
% 7.29/5.48 tff(25570,plain,
% 7.29/5.48 ((v146(constB53) | v147(constB53)) | (~v146(constB53))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25571,plain,
% 7.29/5.48 (v146(constB53) | v147(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25570, 25569])).
% 7.29/5.48 tff(25572,plain,
% 7.29/5.48 ((~(v145(constB53) <=> (v146(constB53) | v147(constB53)))) | v145(constB53) | (~(v146(constB53) | v147(constB53)))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25573,plain,
% 7.29/5.48 (v145(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25572, 25571, 25544])).
% 7.29/5.48 tff(25574,plain,
% 7.29/5.48 ((v145(constB53) | v167(constB53)) | (~v145(constB53))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25575,plain,
% 7.29/5.48 (v145(constB53) | v167(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25574, 25573])).
% 7.29/5.48 tff(25576,plain,
% 7.29/5.48 ((~(v166(constB53) <=> (v145(constB53) | v167(constB53)))) | v166(constB53) | (~(v145(constB53) | v167(constB53)))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25577,plain,
% 7.29/5.48 ((~(v166(constB53) <=> (v145(constB53) | v167(constB53)))) | v166(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25576, 25575])).
% 7.29/5.48 tff(25578,plain,
% 7.29/5.48 (v166(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25577, 25542])).
% 7.29/5.48 tff(25579,plain,
% 7.29/5.48 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB53)) | (v163(constB53) <=> v170(constB53)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB53)) | (v163(constB53) <=> v170(constB53)))),
% 7.29/5.48 inference(rewrite,[status(thm)],[])).
% 7.29/5.48 tff(25580,plain,
% 7.29/5.48 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB53)) | (v163(constB53) <=> v170(constB53)))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25581,plain,
% 7.29/5.48 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB53)) | (v163(constB53) <=> v170(constB53))),
% 7.29/5.48 inference(modus_ponens,[status(thm)],[25580, 25579])).
% 7.29/5.48 tff(25582,plain,
% 7.29/5.48 ((~v166(constB53)) | (v163(constB53) <=> v170(constB53))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25581, 15777])).
% 7.29/5.48 tff(25583,plain,
% 7.29/5.48 (v163(constB53) <=> v170(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25582, 25578])).
% 7.29/5.48 tff(25584,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB53) <=> (~(v88(constB53, 0) | v88(constB53, 1) | v88(constB53, 2))))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25585,plain,
% 7.29/5.48 (v139(constB53) <=> (~(v88(constB53, 0) | v88(constB53, 1) | v88(constB53, 2)))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25584, 15795])).
% 7.29/5.48 tff(25586,plain,
% 7.29/5.48 ((v88(constB53, 0) | v88(constB53, 1) | v88(constB53, 2)) | (~v88(constB53, 2))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25587,plain,
% 7.29/5.48 (v88(constB53, 0) | v88(constB53, 1) | v88(constB53, 2)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25586, 25557])).
% 7.29/5.48 tff(25588,plain,
% 7.29/5.48 ((~(v139(constB53) <=> (~(v88(constB53, 0) | v88(constB53, 1) | v88(constB53, 2))))) | (~v139(constB53)) | (~(v88(constB53, 0) | v88(constB53, 1) | v88(constB53, 2)))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25589,plain,
% 7.29/5.48 (~v139(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25588, 25587, 25585])).
% 7.29/5.48 tff(25590,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB53) <=> (~(v88(constB53, 1) | v88(constB53, 2) | (~v88(constB53, 0)))))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25591,plain,
% 7.29/5.48 (v140(constB53) <=> (~(v88(constB53, 1) | v88(constB53, 2) | (~v88(constB53, 0))))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25590, 15814])).
% 7.29/5.48 tff(25592,plain,
% 7.29/5.48 ((v88(constB53, 1) | v88(constB53, 2) | (~v88(constB53, 0))) | (~v88(constB53, 2))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25593,plain,
% 7.29/5.48 (v88(constB53, 1) | v88(constB53, 2) | (~v88(constB53, 0))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25592, 25557])).
% 7.29/5.48 tff(25594,plain,
% 7.29/5.48 ((~(v140(constB53) <=> (~(v88(constB53, 1) | v88(constB53, 2) | (~v88(constB53, 0)))))) | (~v140(constB53)) | (~(v88(constB53, 1) | v88(constB53, 2) | (~v88(constB53, 0))))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25595,plain,
% 7.29/5.48 (~v140(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25594, 25593, 25591])).
% 7.29/5.48 tff(25596,plain,
% 7.29/5.48 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB53) | v139(constB53) | (~v170(constB53)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB53) | v139(constB53) | (~v170(constB53)))),
% 7.29/5.48 inference(rewrite,[status(thm)],[])).
% 7.29/5.48 tff(25597,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB53) | v139(constB53) | (~v170(constB53)))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25598,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB53) | v139(constB53) | (~v170(constB53))),
% 7.29/5.48 inference(modus_ponens,[status(thm)],[25597, 25596])).
% 7.29/5.48 tff(25599,plain,
% 7.29/5.48 (v140(constB53) | v139(constB53) | (~v170(constB53))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25598, 15833])).
% 7.29/5.48 tff(25600,plain,
% 7.29/5.48 (~v170(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25599, 25595, 25589])).
% 7.29/5.48 tff(25601,plain,
% 7.29/5.48 ((~(v163(constB53) <=> v170(constB53))) | (~v163(constB53)) | v170(constB53)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25602,plain,
% 7.29/5.48 ((~(v163(constB53) <=> v170(constB53))) | (~v163(constB53))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25601, 25600])).
% 7.29/5.48 tff(25603,plain,
% 7.29/5.48 (~v163(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25602, 25583])).
% 7.29/5.48 tff(25604,plain,
% 7.29/5.48 ((~(v161(constB53) <=> v163(constB53))) | (~v161(constB53)) | v163(constB53)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25605,plain,
% 7.29/5.48 ((~(v161(constB53) <=> v163(constB53))) | (~v161(constB53))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25604, 25603])).
% 7.29/5.48 tff(25606,plain,
% 7.29/5.48 (~v161(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25605, 25540])).
% 7.29/5.48 tff(25607,plain,
% 7.29/5.48 (((~v185(constB53)) | (~v161(constB53))) | v161(constB53)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25608,plain,
% 7.29/5.48 ((~v185(constB53)) | (~v161(constB53))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25607, 25606])).
% 7.29/5.48 tff(25609,plain,
% 7.29/5.48 ((~(v184(constB53) <=> (~((~v185(constB53)) | (~v161(constB53)))))) | (~v184(constB53)) | (~((~v185(constB53)) | (~v161(constB53))))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25610,plain,
% 7.29/5.48 (~v184(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25609, 25608, 25538])).
% 7.29/5.48 tff(25611,plain,
% 7.29/5.48 (((~v183(constB53)) | (~v184(constB53))) | v184(constB53)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25612,plain,
% 7.29/5.48 ((~v183(constB53)) | (~v184(constB53))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25611, 25610])).
% 7.29/5.48 tff(25613,plain,
% 7.29/5.48 ((~(v180(constB53) <=> (~((~v183(constB53)) | (~v184(constB53)))))) | (~v180(constB53)) | (~((~v183(constB53)) | (~v184(constB53))))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25614,plain,
% 7.29/5.48 (~v180(constB53)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25613, 25612, 25536])).
% 7.29/5.48 tff(25615,plain,
% 7.29/5.48 ((~(v182(constB54) <=> v180(constB53))) | (~v182(constB54)) | v180(constB53)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25616,plain,
% 7.29/5.48 (~v182(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25615, 25614, 25534])).
% 7.29/5.48 tff(25617,plain,
% 7.29/5.48 ((~(v159(constB54) <=> v182(constB54))) | (~v159(constB54)) | v182(constB54)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25618,plain,
% 7.29/5.48 (~v159(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25617, 25616, 25530])).
% 7.29/5.48 tff(25619,plain,
% 7.29/5.48 (((~v159(constB54)) | (~v194(constB54))) | v159(constB54)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25620,plain,
% 7.29/5.48 ((~v159(constB54)) | (~v194(constB54))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25619, 25618])).
% 7.29/5.48 tff(25621,plain,
% 7.29/5.48 ((~(v196(constB54) <=> (~((~v159(constB54)) | (~v194(constB54)))))) | (~v196(constB54)) | (~((~v159(constB54)) | (~v194(constB54))))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25622,plain,
% 7.29/5.48 (~v196(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25621, 25620, 25528])).
% 7.29/5.48 tff(25623,plain,
% 7.29/5.48 ((~(v193(constB54) | v196(constB54))) | v193(constB54) | v196(constB54)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25624,plain,
% 7.29/5.48 (~(v193(constB54) | v196(constB54))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25623, 25622, 25521])).
% 7.29/5.48 tff(25625,plain,
% 7.29/5.48 ((~(v190(constB54) <=> (v193(constB54) | v196(constB54)))) | (~v190(constB54)) | (v193(constB54) | v196(constB54))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25626,plain,
% 7.29/5.48 (~v190(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25625, 25624, 25375])).
% 7.29/5.48 tff(25627,plain,
% 7.29/5.48 ((~(v192(constB55) <=> v190(constB54))) | (~v192(constB55)) | v190(constB54)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25628,plain,
% 7.29/5.48 (~v192(constB55)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25627, 25626, 25373])).
% 7.29/5.48 tff(25629,plain,
% 7.29/5.48 ((~(v157(constB55) <=> v192(constB55))) | (~v157(constB55)) | v192(constB55)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25630,plain,
% 7.29/5.48 (~v157(constB55)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25629, 25628, 25369])).
% 7.29/5.48 tff(25631,plain,
% 7.29/5.48 (((~v157(constB55)) | (~v202(constB55))) | v157(constB55)),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25632,plain,
% 7.29/5.48 ((~v157(constB55)) | (~v202(constB55))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25631, 25630])).
% 7.29/5.48 tff(25633,plain,
% 7.29/5.48 ((~(v201(constB55) <=> (~((~v157(constB55)) | (~v202(constB55)))))) | (~v201(constB55)) | (~((~v157(constB55)) | (~v202(constB55))))),
% 7.29/5.48 inference(tautology,[status(thm)],[])).
% 7.29/5.48 tff(25634,plain,
% 7.29/5.48 (~v201(constB55)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25633, 25632, 25367])).
% 7.29/5.48 tff(25635,plain,
% 7.29/5.48 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB55) <=> (~((~v159(constB55)) | (~v202(constB55)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB55) <=> (~((~v159(constB55)) | (~v202(constB55))))))),
% 7.29/5.48 inference(rewrite,[status(thm)],[])).
% 7.29/5.48 tff(25636,plain,
% 7.29/5.48 ((v205(constB55) <=> (~((~v202(constB55)) | (~v159(constB55))))) <=> (v205(constB55) <=> (~((~v159(constB55)) | (~v202(constB55)))))),
% 7.29/5.48 inference(rewrite,[status(thm)],[])).
% 7.29/5.48 tff(25637,plain,
% 7.29/5.48 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB55) <=> (~((~v202(constB55)) | (~v159(constB55)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB55) <=> (~((~v159(constB55)) | (~v202(constB55))))))),
% 7.29/5.48 inference(monotonicity,[status(thm)],[25636])).
% 7.29/5.48 tff(25638,plain,
% 7.29/5.48 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB55) <=> (~((~v202(constB55)) | (~v159(constB55)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB55) <=> (~((~v159(constB55)) | (~v202(constB55))))))),
% 7.29/5.48 inference(transitivity,[status(thm)],[25637, 25635])).
% 7.29/5.48 tff(25639,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB55) <=> (~((~v202(constB55)) | (~v159(constB55)))))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25640,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB55) <=> (~((~v159(constB55)) | (~v202(constB55)))))),
% 7.29/5.48 inference(modus_ponens,[status(thm)],[25639, 25638])).
% 7.29/5.48 tff(25641,plain,
% 7.29/5.48 (v205(constB55) <=> (~((~v159(constB55)) | (~v202(constB55))))),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25640, 138])).
% 7.29/5.48 tff(25642,plain,
% 7.29/5.48 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB55) <=> v182(constB55))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25643,plain,
% 7.29/5.48 (v159(constB55) <=> v182(constB55)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25642, 15113])).
% 7.29/5.48 tff(25644,plain,
% 7.29/5.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB54, constB55)) | (v182(constB55) <=> v180(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB54, constB55)) | (v182(constB55) <=> v180(constB54)))),
% 7.29/5.48 inference(rewrite,[status(thm)],[])).
% 7.29/5.48 tff(25645,plain,
% 7.29/5.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB54, constB55)) | (v182(constB55) <=> v180(constB54)))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25646,plain,
% 7.29/5.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB54, constB55)) | (v182(constB55) <=> v180(constB54))),
% 7.29/5.48 inference(modus_ponens,[status(thm)],[25645, 25644])).
% 7.29/5.48 tff(25647,plain,
% 7.29/5.48 (v182(constB55) <=> v180(constB54)),
% 7.29/5.48 inference(unit_resolution,[status(thm)],[25646, 2775, 15125])).
% 7.29/5.48 tff(25648,plain,
% 7.29/5.48 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB54) <=> (~((~v183(constB54)) | (~v184(constB54)))))),
% 7.29/5.48 inference(quant_inst,[status(thm)],[])).
% 7.29/5.48 tff(25649,plain,
% 7.29/5.48 (v180(constB54) <=> (~((~v183(constB54)) | (~v184(constB54))))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25648, 15139])).
% 7.29/5.49 tff(25650,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB54) <=> (~((~v185(constB54)) | (~v161(constB54)))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25651,plain,
% 7.29/5.49 (v184(constB54) <=> (~((~v185(constB54)) | (~v161(constB54))))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25650, 15151])).
% 7.29/5.49 tff(25652,plain,
% 7.29/5.49 (((~v185(constB54)) | (~v161(constB54))) | v185(constB54)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25653,plain,
% 7.29/5.49 ((~v185(constB54)) | (~v161(constB54))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25652, 24818])).
% 7.29/5.49 tff(25654,plain,
% 7.29/5.49 ((~(v184(constB54) <=> (~((~v185(constB54)) | (~v161(constB54)))))) | (~v184(constB54)) | (~((~v185(constB54)) | (~v161(constB54))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25655,plain,
% 7.29/5.49 ((~(v184(constB54) <=> (~((~v185(constB54)) | (~v161(constB54)))))) | (~v184(constB54))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25654, 25653])).
% 7.29/5.49 tff(25656,plain,
% 7.29/5.49 (~v184(constB54)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25655, 25651])).
% 7.29/5.49 tff(25657,plain,
% 7.29/5.49 (((~v183(constB54)) | (~v184(constB54))) | v184(constB54)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25658,plain,
% 7.29/5.49 ((~v183(constB54)) | (~v184(constB54))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25657, 25656])).
% 7.29/5.49 tff(25659,plain,
% 7.29/5.49 ((~(v180(constB54) <=> (~((~v183(constB54)) | (~v184(constB54)))))) | (~v180(constB54)) | (~((~v183(constB54)) | (~v184(constB54))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25660,plain,
% 7.29/5.49 (~v180(constB54)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25659, 25658, 25649])).
% 7.29/5.49 tff(25661,plain,
% 7.29/5.49 ((~(v182(constB55) <=> v180(constB54))) | (~v182(constB55)) | v180(constB54)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25662,plain,
% 7.29/5.49 (~v182(constB55)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25661, 25660, 25647])).
% 7.29/5.49 tff(25663,plain,
% 7.29/5.49 ((~(v159(constB55) <=> v182(constB55))) | (~v159(constB55)) | v182(constB55)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25664,plain,
% 7.29/5.49 (~v159(constB55)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25663, 25662, 25643])).
% 7.29/5.49 tff(25665,plain,
% 7.29/5.49 (((~v159(constB55)) | (~v202(constB55))) | v159(constB55)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25666,plain,
% 7.29/5.49 ((~v159(constB55)) | (~v202(constB55))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25665, 25664])).
% 7.29/5.49 tff(25667,plain,
% 7.29/5.49 ((~(v205(constB55) <=> (~((~v159(constB55)) | (~v202(constB55)))))) | (~v205(constB55)) | (~((~v159(constB55)) | (~v202(constB55))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25668,plain,
% 7.29/5.49 (~v205(constB55)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25667, 25666, 25641])).
% 7.29/5.49 tff(25669,plain,
% 7.29/5.49 ((~(v201(constB55) | v205(constB55))) | v201(constB55) | v205(constB55)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25670,plain,
% 7.29/5.49 ((~(v201(constB55) | v205(constB55))) | v201(constB55)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25669, 25668])).
% 7.29/5.49 tff(25671,plain,
% 7.29/5.49 (~(v201(constB55) | v205(constB55))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25670, 25634])).
% 7.29/5.49 tff(25672,plain,
% 7.29/5.49 ((~(v200(constB55) <=> (v201(constB55) | v205(constB55)))) | (~v200(constB55)) | (v201(constB55) | v205(constB55))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25673,plain,
% 7.29/5.49 (~v200(constB55)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25672, 25671, 25360])).
% 7.29/5.49 tff(25674,plain,
% 7.29/5.49 ($false),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25673, 25358])).
% 7.29/5.49 tff(25675,plain,(~(constB55 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.29/5.49 tff(25676,assumption,(constB66 = VarCurr!0), introduced(assumption)).
% 7.29/5.49 tff(25677,plain,
% 7.29/5.49 (v200(constB66) <=> v200(VarCurr!0)),
% 7.29/5.49 inference(monotonicity,[status(thm)],[25676])).
% 7.29/5.49 tff(25678,plain,
% 7.29/5.49 (v200(VarCurr!0) <=> v200(constB66)),
% 7.29/5.49 inference(symmetry,[status(thm)],[25677])).
% 7.29/5.49 tff(25679,plain,
% 7.29/5.49 (v200(constB66)),
% 7.29/5.49 inference(modus_ponens,[status(thm)],[27, 25678])).
% 7.29/5.49 tff(25680,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB66) <=> (v201(constB66) | v205(constB66)))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25681,plain,
% 7.29/5.49 (v200(constB66) <=> (v201(constB66) | v205(constB66))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25680, 35])).
% 7.29/5.49 tff(25682,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB66) <=> (~((~v157(constB66)) | (~v202(constB66)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB66) <=> (~((~v157(constB66)) | (~v202(constB66))))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25683,plain,
% 7.29/5.49 ((v201(constB66) <=> (~((~v202(constB66)) | (~v157(constB66))))) <=> (v201(constB66) <=> (~((~v157(constB66)) | (~v202(constB66)))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25684,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB66) <=> (~((~v202(constB66)) | (~v157(constB66)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB66) <=> (~((~v157(constB66)) | (~v202(constB66))))))),
% 7.29/5.49 inference(monotonicity,[status(thm)],[25683])).
% 7.29/5.49 tff(25685,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB66) <=> (~((~v202(constB66)) | (~v157(constB66)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB66) <=> (~((~v157(constB66)) | (~v202(constB66))))))),
% 7.29/5.49 inference(transitivity,[status(thm)],[25684, 25682])).
% 7.29/5.49 tff(25686,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB66) <=> (~((~v202(constB66)) | (~v157(constB66)))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25687,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB66) <=> (~((~v157(constB66)) | (~v202(constB66)))))),
% 7.29/5.49 inference(modus_ponens,[status(thm)],[25686, 25685])).
% 7.29/5.49 tff(25688,plain,
% 7.29/5.49 (v201(constB66) <=> (~((~v157(constB66)) | (~v202(constB66))))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25687, 47])).
% 7.29/5.49 tff(25689,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB66) <=> (~((~v183(constB66)) | (~v203(constB66)))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25690,plain,
% 7.29/5.49 (v202(constB66) <=> (~((~v183(constB66)) | (~v203(constB66))))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25689, 64])).
% 7.29/5.49 tff(25691,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB66) <=> (~((~v185(constB66)) | (~v204(constB66)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB66) <=> (~((~v185(constB66)) | (~v204(constB66))))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25692,plain,
% 7.29/5.49 ((v203(constB66) <=> (~((~v204(constB66)) | (~v185(constB66))))) <=> (v203(constB66) <=> (~((~v185(constB66)) | (~v204(constB66)))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25693,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB66) <=> (~((~v204(constB66)) | (~v185(constB66)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB66) <=> (~((~v185(constB66)) | (~v204(constB66))))))),
% 7.29/5.49 inference(monotonicity,[status(thm)],[25692])).
% 7.29/5.49 tff(25694,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB66) <=> (~((~v204(constB66)) | (~v185(constB66)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB66) <=> (~((~v185(constB66)) | (~v204(constB66))))))),
% 7.29/5.49 inference(transitivity,[status(thm)],[25693, 25691])).
% 7.29/5.49 tff(25695,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB66) <=> (~((~v204(constB66)) | (~v185(constB66)))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25696,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB66) <=> (~((~v185(constB66)) | (~v204(constB66)))))),
% 7.29/5.49 inference(modus_ponens,[status(thm)],[25695, 25694])).
% 7.29/5.49 tff(25697,plain,
% 7.29/5.49 (v203(constB66) <=> (~((~v185(constB66)) | (~v204(constB66))))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25696, 76])).
% 7.29/5.49 tff(25698,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25699,plain,
% 7.29/5.49 (v185(constB66) <=> (~((~v39(constB66)) | (~v9(constB66))))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25698, 93])).
% 7.29/5.49 tff(25700,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB66)) <=> v1(constB66))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25701,plain,
% 7.29/5.49 ((~v39(constB66)) <=> v1(constB66)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25700, 102])).
% 7.29/5.49 tff(25702,plain,
% 7.29/5.49 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66)) | (~v1(constB66))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25703,plain,
% 7.29/5.49 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25702, 9952])).
% 7.29/5.49 tff(25704,plain,
% 7.29/5.49 (~v39(constB66)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25703, 25701])).
% 7.29/5.49 tff(25705,plain,
% 7.29/5.49 (((~v39(constB66)) | (~v9(constB66))) | v39(constB66)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25706,plain,
% 7.29/5.49 ((~v39(constB66)) | (~v9(constB66))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25705, 25704])).
% 7.29/5.49 tff(25707,plain,
% 7.29/5.49 ((~(v185(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v185(constB66)) | (~((~v39(constB66)) | (~v9(constB66))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25708,plain,
% 7.29/5.49 ((~(v185(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v185(constB66))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25707, 25706])).
% 7.29/5.49 tff(25709,plain,
% 7.29/5.49 (~v185(constB66)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25708, 25699])).
% 7.29/5.49 tff(25710,plain,
% 7.29/5.49 (((~v185(constB66)) | (~v204(constB66))) | v185(constB66)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25711,plain,
% 7.29/5.49 ((~v185(constB66)) | (~v204(constB66))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25710, 25709])).
% 7.29/5.49 tff(25712,plain,
% 7.29/5.49 ((~(v203(constB66) <=> (~((~v185(constB66)) | (~v204(constB66)))))) | (~v203(constB66)) | (~((~v185(constB66)) | (~v204(constB66))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25713,plain,
% 7.29/5.49 ((~(v203(constB66) <=> (~((~v185(constB66)) | (~v204(constB66)))))) | (~v203(constB66))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25712, 25711])).
% 7.29/5.49 tff(25714,plain,
% 7.29/5.49 (~v203(constB66)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25713, 25697])).
% 7.29/5.49 tff(25715,plain,
% 7.29/5.49 (((~v183(constB66)) | (~v203(constB66))) | v203(constB66)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25716,plain,
% 7.29/5.49 ((~v183(constB66)) | (~v203(constB66))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25715, 25714])).
% 7.29/5.49 tff(25717,plain,
% 7.29/5.49 ((~(v202(constB66) <=> (~((~v183(constB66)) | (~v203(constB66)))))) | (~v202(constB66)) | (~((~v183(constB66)) | (~v203(constB66))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25718,plain,
% 7.29/5.49 (~v202(constB66)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25717, 25716, 25690])).
% 7.29/5.49 tff(25719,plain,
% 7.29/5.49 (((~v157(constB66)) | (~v202(constB66))) | v202(constB66)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25720,plain,
% 7.29/5.49 ((~v157(constB66)) | (~v202(constB66))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25719, 25718])).
% 7.29/5.49 tff(25721,plain,
% 7.29/5.49 ((~(v201(constB66) <=> (~((~v157(constB66)) | (~v202(constB66)))))) | (~v201(constB66)) | (~((~v157(constB66)) | (~v202(constB66))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25722,plain,
% 7.29/5.49 (~v201(constB66)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25721, 25720, 25688])).
% 7.29/5.49 tff(25723,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB66) <=> (~((~v159(constB66)) | (~v202(constB66)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB66) <=> (~((~v159(constB66)) | (~v202(constB66))))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25724,plain,
% 7.29/5.49 ((v205(constB66) <=> (~((~v202(constB66)) | (~v159(constB66))))) <=> (v205(constB66) <=> (~((~v159(constB66)) | (~v202(constB66)))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25725,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB66) <=> (~((~v202(constB66)) | (~v159(constB66)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB66) <=> (~((~v159(constB66)) | (~v202(constB66))))))),
% 7.29/5.49 inference(monotonicity,[status(thm)],[25724])).
% 7.29/5.49 tff(25726,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB66) <=> (~((~v202(constB66)) | (~v159(constB66)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB66) <=> (~((~v159(constB66)) | (~v202(constB66))))))),
% 7.29/5.49 inference(transitivity,[status(thm)],[25725, 25723])).
% 7.29/5.49 tff(25727,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB66) <=> (~((~v202(constB66)) | (~v159(constB66)))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25728,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB66) <=> (~((~v159(constB66)) | (~v202(constB66)))))),
% 7.29/5.49 inference(modus_ponens,[status(thm)],[25727, 25726])).
% 7.29/5.49 tff(25729,plain,
% 7.29/5.49 (v205(constB66) <=> (~((~v159(constB66)) | (~v202(constB66))))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25728, 138])).
% 7.29/5.49 tff(25730,plain,
% 7.29/5.49 (((~v159(constB66)) | (~v202(constB66))) | v202(constB66)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25731,plain,
% 7.29/5.49 ((~v159(constB66)) | (~v202(constB66))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25730, 25718])).
% 7.29/5.49 tff(25732,plain,
% 7.29/5.49 ((~(v205(constB66) <=> (~((~v159(constB66)) | (~v202(constB66)))))) | (~v205(constB66)) | (~((~v159(constB66)) | (~v202(constB66))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25733,plain,
% 7.29/5.49 (~v205(constB66)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25732, 25731, 25729])).
% 7.29/5.49 tff(25734,plain,
% 7.29/5.49 ((~(v201(constB66) | v205(constB66))) | v201(constB66) | v205(constB66)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25735,plain,
% 7.29/5.49 (~(v201(constB66) | v205(constB66))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25734, 25733, 25722])).
% 7.29/5.49 tff(25736,plain,
% 7.29/5.49 ((~(v200(constB66) <=> (v201(constB66) | v205(constB66)))) | (~v200(constB66)) | (v201(constB66) | v205(constB66))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25737,plain,
% 7.29/5.49 ((~(v200(constB66) <=> (v201(constB66) | v205(constB66)))) | (~v200(constB66))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25736, 25735])).
% 7.29/5.49 tff(25738,plain,
% 7.29/5.49 (~v200(constB66)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25737, 25681])).
% 7.29/5.49 tff(25739,plain,
% 7.29/5.49 ($false),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25738, 25679])).
% 7.29/5.49 tff(25740,plain,(~(constB66 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.29/5.49 tff(25741,assumption,(constB99 = VarCurr!0), introduced(assumption)).
% 7.29/5.49 tff(25742,plain,
% 7.29/5.49 (v200(constB99) <=> v200(VarCurr!0)),
% 7.29/5.49 inference(monotonicity,[status(thm)],[25741])).
% 7.29/5.49 tff(25743,plain,
% 7.29/5.49 (v200(VarCurr!0) <=> v200(constB99)),
% 7.29/5.49 inference(symmetry,[status(thm)],[25742])).
% 7.29/5.49 tff(25744,plain,
% 7.29/5.49 (v200(constB99)),
% 7.29/5.49 inference(modus_ponens,[status(thm)],[27, 25743])).
% 7.29/5.49 tff(25745,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB99) <=> (v201(constB99) | v205(constB99)))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25746,plain,
% 7.29/5.49 (v200(constB99) <=> (v201(constB99) | v205(constB99))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25745, 35])).
% 7.29/5.49 tff(25747,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB99) <=> (~((~v157(constB99)) | (~v202(constB99)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB99) <=> (~((~v157(constB99)) | (~v202(constB99))))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25748,plain,
% 7.29/5.49 ((v201(constB99) <=> (~((~v202(constB99)) | (~v157(constB99))))) <=> (v201(constB99) <=> (~((~v157(constB99)) | (~v202(constB99)))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25749,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB99) <=> (~((~v202(constB99)) | (~v157(constB99)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB99) <=> (~((~v157(constB99)) | (~v202(constB99))))))),
% 7.29/5.49 inference(monotonicity,[status(thm)],[25748])).
% 7.29/5.49 tff(25750,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB99) <=> (~((~v202(constB99)) | (~v157(constB99)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB99) <=> (~((~v157(constB99)) | (~v202(constB99))))))),
% 7.29/5.49 inference(transitivity,[status(thm)],[25749, 25747])).
% 7.29/5.49 tff(25751,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB99) <=> (~((~v202(constB99)) | (~v157(constB99)))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25752,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB99) <=> (~((~v157(constB99)) | (~v202(constB99)))))),
% 7.29/5.49 inference(modus_ponens,[status(thm)],[25751, 25750])).
% 7.29/5.49 tff(25753,plain,
% 7.29/5.49 (v201(constB99) <=> (~((~v157(constB99)) | (~v202(constB99))))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25752, 47])).
% 7.29/5.49 tff(25754,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB99) <=> (~((~v183(constB99)) | (~v203(constB99)))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25755,plain,
% 7.29/5.49 (v202(constB99) <=> (~((~v183(constB99)) | (~v203(constB99))))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25754, 64])).
% 7.29/5.49 tff(25756,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB99) <=> (~((~v185(constB99)) | (~v204(constB99)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB99) <=> (~((~v185(constB99)) | (~v204(constB99))))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25757,plain,
% 7.29/5.49 ((v203(constB99) <=> (~((~v204(constB99)) | (~v185(constB99))))) <=> (v203(constB99) <=> (~((~v185(constB99)) | (~v204(constB99)))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25758,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB99) <=> (~((~v204(constB99)) | (~v185(constB99)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB99) <=> (~((~v185(constB99)) | (~v204(constB99))))))),
% 7.29/5.49 inference(monotonicity,[status(thm)],[25757])).
% 7.29/5.49 tff(25759,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB99) <=> (~((~v204(constB99)) | (~v185(constB99)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB99) <=> (~((~v185(constB99)) | (~v204(constB99))))))),
% 7.29/5.49 inference(transitivity,[status(thm)],[25758, 25756])).
% 7.29/5.49 tff(25760,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB99) <=> (~((~v204(constB99)) | (~v185(constB99)))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25761,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB99) <=> (~((~v185(constB99)) | (~v204(constB99)))))),
% 7.29/5.49 inference(modus_ponens,[status(thm)],[25760, 25759])).
% 7.29/5.49 tff(25762,plain,
% 7.29/5.49 (v203(constB99) <=> (~((~v185(constB99)) | (~v204(constB99))))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25761, 76])).
% 7.29/5.49 tff(25763,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))) | ((~v204(constB99)) <=> v84(constB99))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25764,plain,
% 7.29/5.49 ((~v204(constB99)) <=> v84(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25763, 185])).
% 7.29/5.49 tff(25765,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB99) <=> v86(constB99))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25766,plain,
% 7.29/5.49 (v84(constB99) <=> v86(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25765, 194])).
% 7.29/5.49 tff(25767,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB99) <=> (v136(constB99) | v145(constB99)))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25768,plain,
% 7.29/5.49 (v135(constB99) <=> (v136(constB99) | v145(constB99))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25767, 203])).
% 7.29/5.49 tff(25769,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB99) <=> (v137(constB99) | v142(constB99)))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25770,plain,
% 7.29/5.49 (v136(constB99) <=> (v137(constB99) | v142(constB99))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25769, 212])).
% 7.29/5.49 tff(25771,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB99) <=> (v143(constB99) | v144(constB99)))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25772,plain,
% 7.29/5.49 (v142(constB99) <=> (v143(constB99) | v144(constB99))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25771, 221])).
% 7.29/5.49 tff(25773,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB99) <=> (~((~v88(constB99, 1)) | v88(constB99, 2) | v88(constB99, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB99) <=> (~((~v88(constB99, 1)) | v88(constB99, 2) | v88(constB99, 0)))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25774,plain,
% 7.29/5.49 ((v143(constB99) <=> (~(v88(constB99, 0) | v88(constB99, 2) | (~v88(constB99, 1))))) <=> (v143(constB99) <=> (~((~v88(constB99, 1)) | v88(constB99, 2) | v88(constB99, 0))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25775,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB99) <=> (~(v88(constB99, 0) | v88(constB99, 2) | (~v88(constB99, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB99) <=> (~((~v88(constB99, 1)) | v88(constB99, 2) | v88(constB99, 0)))))),
% 7.29/5.49 inference(monotonicity,[status(thm)],[25774])).
% 7.29/5.49 tff(25776,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB99) <=> (~(v88(constB99, 0) | v88(constB99, 2) | (~v88(constB99, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB99) <=> (~((~v88(constB99, 1)) | v88(constB99, 2) | v88(constB99, 0)))))),
% 7.29/5.49 inference(transitivity,[status(thm)],[25775, 25773])).
% 7.29/5.49 tff(25777,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB99) <=> (~(v88(constB99, 0) | v88(constB99, 2) | (~v88(constB99, 1)))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25778,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB99) <=> (~((~v88(constB99, 1)) | v88(constB99, 2) | v88(constB99, 0))))),
% 7.29/5.49 inference(modus_ponens,[status(thm)],[25777, 25776])).
% 7.29/5.49 tff(25779,plain,
% 7.29/5.49 (v143(constB99) <=> (~((~v88(constB99, 1)) | v88(constB99, 2) | v88(constB99, 0)))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25778, 236])).
% 7.29/5.49 tff(25780,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB99, 1)) <=> v90(constB99, 1)) | ((~v88(constB99, 2)) <=> v90(constB99, 2)) | ((~v88(constB99, 0)) <=> v90(constB99, 0))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25781,plain,
% 7.29/5.49 (~(((~v88(constB99, 1)) <=> v90(constB99, 1)) | ((~v88(constB99, 2)) <=> v90(constB99, 2)) | ((~v88(constB99, 0)) <=> v90(constB99, 0)))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25780, 256])).
% 7.29/5.49 tff(25782,plain,
% 7.29/5.49 ((((~v88(constB99, 1)) <=> v90(constB99, 1)) | ((~v88(constB99, 2)) <=> v90(constB99, 2)) | ((~v88(constB99, 0)) <=> v90(constB99, 0))) | (~((~v88(constB99, 2)) <=> v90(constB99, 2)))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25783,plain,
% 7.29/5.49 (~((~v88(constB99, 2)) <=> v90(constB99, 2))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25782, 25781])).
% 7.29/5.49 tff(25784,plain,
% 7.29/5.49 (((~v88(constB99, 2)) <=> v90(constB99, 2)) | (~v88(constB99, 2)) | v90(constB99, 2)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25785,plain,
% 7.29/5.49 (~v88(constB99, 2)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25784, 12590, 25783])).
% 7.29/5.49 tff(25786,plain,
% 7.29/5.49 ((((~v88(constB99, 1)) <=> v90(constB99, 1)) | ((~v88(constB99, 2)) <=> v90(constB99, 2)) | ((~v88(constB99, 0)) <=> v90(constB99, 0))) | (~((~v88(constB99, 0)) <=> v90(constB99, 0)))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25787,plain,
% 7.29/5.49 (~((~v88(constB99, 0)) <=> v90(constB99, 0))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25786, 25781])).
% 7.29/5.49 tff(25788,plain,
% 7.29/5.49 (((~v88(constB99, 0)) <=> v90(constB99, 0)) | (~v88(constB99, 0)) | v90(constB99, 0)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25789,plain,
% 7.29/5.49 (~v88(constB99, 0)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25788, 12608, 25787])).
% 7.29/5.49 tff(25790,plain,
% 7.29/5.49 ((((~v88(constB99, 1)) <=> v90(constB99, 1)) | ((~v88(constB99, 2)) <=> v90(constB99, 2)) | ((~v88(constB99, 0)) <=> v90(constB99, 0))) | (~((~v88(constB99, 1)) <=> v90(constB99, 1)))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25791,plain,
% 7.29/5.49 (~((~v88(constB99, 1)) <=> v90(constB99, 1))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25790, 25781])).
% 7.29/5.49 tff(25792,plain,
% 7.29/5.49 (((~v88(constB99, 1)) <=> v90(constB99, 1)) | v88(constB99, 1) | (~v90(constB99, 1))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25793,plain,
% 7.29/5.49 (v88(constB99, 1)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25792, 12626, 25791])).
% 7.29/5.49 tff(25794,plain,
% 7.29/5.49 ((~((~v88(constB99, 1)) | v88(constB99, 2) | v88(constB99, 0))) | (~v88(constB99, 1)) | v88(constB99, 2) | v88(constB99, 0)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25795,plain,
% 7.29/5.49 (~((~v88(constB99, 1)) | v88(constB99, 2) | v88(constB99, 0))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25794, 25793, 25789, 25785])).
% 7.29/5.49 tff(25796,plain,
% 7.29/5.49 ((~(v143(constB99) <=> (~((~v88(constB99, 1)) | v88(constB99, 2) | v88(constB99, 0))))) | v143(constB99) | ((~v88(constB99, 1)) | v88(constB99, 2) | v88(constB99, 0))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25797,plain,
% 7.29/5.49 (v143(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25796, 25795, 25779])).
% 7.29/5.49 tff(25798,plain,
% 7.29/5.49 ((v143(constB99) | v144(constB99)) | (~v143(constB99))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25799,plain,
% 7.29/5.49 (v143(constB99) | v144(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25798, 25797])).
% 7.29/5.49 tff(25800,plain,
% 7.29/5.49 ((~(v142(constB99) <=> (v143(constB99) | v144(constB99)))) | v142(constB99) | (~(v143(constB99) | v144(constB99)))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25801,plain,
% 7.29/5.49 (v142(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25800, 25799, 25772])).
% 7.29/5.49 tff(25802,plain,
% 7.29/5.49 ((v137(constB99) | v142(constB99)) | (~v142(constB99))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25803,plain,
% 7.29/5.49 (v137(constB99) | v142(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25802, 25801])).
% 7.29/5.49 tff(25804,plain,
% 7.29/5.49 ((~(v136(constB99) <=> (v137(constB99) | v142(constB99)))) | v136(constB99) | (~(v137(constB99) | v142(constB99)))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25805,plain,
% 7.29/5.49 ((~(v136(constB99) <=> (v137(constB99) | v142(constB99)))) | v136(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25804, 25803])).
% 7.29/5.49 tff(25806,plain,
% 7.29/5.49 (v136(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25805, 25770])).
% 7.29/5.49 tff(25807,plain,
% 7.29/5.49 ((v136(constB99) | v145(constB99)) | (~v136(constB99))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25808,plain,
% 7.29/5.49 (v136(constB99) | v145(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25807, 25806])).
% 7.29/5.49 tff(25809,plain,
% 7.29/5.49 ((~(v135(constB99) <=> (v136(constB99) | v145(constB99)))) | v135(constB99) | (~(v136(constB99) | v145(constB99)))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25810,plain,
% 7.29/5.49 (v135(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25809, 25808, 25768])).
% 7.29/5.49 tff(25811,plain,
% 7.29/5.49 (((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB99)) | (v86(constB99) <=> v148(constB99)))) <=> ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB99)) | (v86(constB99) <=> v148(constB99)))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25812,plain,
% 7.29/5.49 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB99)) | (v86(constB99) <=> v148(constB99)))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25813,plain,
% 7.29/5.49 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB99)) | (v86(constB99) <=> v148(constB99))),
% 7.29/5.49 inference(modus_ponens,[status(thm)],[25812, 25811])).
% 7.29/5.49 tff(25814,plain,
% 7.29/5.49 (v86(constB99) <=> v148(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25813, 15057, 25810])).
% 7.29/5.49 tff(25815,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB99) | (~v142(constB99)))) <=> ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB99) | (~v142(constB99)))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25816,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB99) | (~v142(constB99)))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25817,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB99) | (~v142(constB99))),
% 7.29/5.49 inference(modus_ponens,[status(thm)],[25816, 25815])).
% 7.29/5.49 tff(25818,plain,
% 7.29/5.49 (v148(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25817, 15071, 25801])).
% 7.29/5.49 tff(25819,plain,
% 7.29/5.49 ((~(v86(constB99) <=> v148(constB99))) | v86(constB99) | (~v148(constB99))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25820,plain,
% 7.29/5.49 ((~(v86(constB99) <=> v148(constB99))) | v86(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25819, 25818])).
% 7.29/5.49 tff(25821,plain,
% 7.29/5.49 (v86(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25820, 25814])).
% 7.29/5.49 tff(25822,plain,
% 7.29/5.49 ((~(v84(constB99) <=> v86(constB99))) | v84(constB99) | (~v86(constB99))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25823,plain,
% 7.29/5.49 ((~(v84(constB99) <=> v86(constB99))) | v84(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25822, 25821])).
% 7.29/5.49 tff(25824,plain,
% 7.29/5.49 (v84(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25823, 25766])).
% 7.29/5.49 tff(25825,plain,
% 7.29/5.49 ((~((~v204(constB99)) <=> v84(constB99))) | (~v204(constB99)) | (~v84(constB99))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25826,plain,
% 7.29/5.49 ((~((~v204(constB99)) <=> v84(constB99))) | (~v204(constB99))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25825, 25824])).
% 7.29/5.49 tff(25827,plain,
% 7.29/5.49 (~v204(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25826, 25764])).
% 7.29/5.49 tff(25828,plain,
% 7.29/5.49 (((~v185(constB99)) | (~v204(constB99))) | v204(constB99)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25829,plain,
% 7.29/5.49 ((~v185(constB99)) | (~v204(constB99))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25828, 25827])).
% 7.29/5.49 tff(25830,plain,
% 7.29/5.49 ((~(v203(constB99) <=> (~((~v185(constB99)) | (~v204(constB99)))))) | (~v203(constB99)) | (~((~v185(constB99)) | (~v204(constB99))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25831,plain,
% 7.29/5.49 (~v203(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25830, 25829, 25762])).
% 7.29/5.49 tff(25832,plain,
% 7.29/5.49 (((~v183(constB99)) | (~v203(constB99))) | v203(constB99)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25833,plain,
% 7.29/5.49 ((~v183(constB99)) | (~v203(constB99))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25832, 25831])).
% 7.29/5.49 tff(25834,plain,
% 7.29/5.49 ((~(v202(constB99) <=> (~((~v183(constB99)) | (~v203(constB99)))))) | (~v202(constB99)) | (~((~v183(constB99)) | (~v203(constB99))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25835,plain,
% 7.29/5.49 (~v202(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25834, 25833, 25755])).
% 7.29/5.49 tff(25836,plain,
% 7.29/5.49 (((~v157(constB99)) | (~v202(constB99))) | v202(constB99)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25837,plain,
% 7.29/5.49 ((~v157(constB99)) | (~v202(constB99))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25836, 25835])).
% 7.29/5.49 tff(25838,plain,
% 7.29/5.49 ((~(v201(constB99) <=> (~((~v157(constB99)) | (~v202(constB99)))))) | (~v201(constB99)) | (~((~v157(constB99)) | (~v202(constB99))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25839,plain,
% 7.29/5.49 (~v201(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25838, 25837, 25753])).
% 7.29/5.49 tff(25840,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB99) <=> (~((~v159(constB99)) | (~v202(constB99)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB99) <=> (~((~v159(constB99)) | (~v202(constB99))))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25841,plain,
% 7.29/5.49 ((v205(constB99) <=> (~((~v202(constB99)) | (~v159(constB99))))) <=> (v205(constB99) <=> (~((~v159(constB99)) | (~v202(constB99)))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25842,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB99) <=> (~((~v202(constB99)) | (~v159(constB99)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB99) <=> (~((~v159(constB99)) | (~v202(constB99))))))),
% 7.29/5.49 inference(monotonicity,[status(thm)],[25841])).
% 7.29/5.49 tff(25843,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB99) <=> (~((~v202(constB99)) | (~v159(constB99)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB99) <=> (~((~v159(constB99)) | (~v202(constB99))))))),
% 7.29/5.49 inference(transitivity,[status(thm)],[25842, 25840])).
% 7.29/5.49 tff(25844,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB99) <=> (~((~v202(constB99)) | (~v159(constB99)))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25845,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB99) <=> (~((~v159(constB99)) | (~v202(constB99)))))),
% 7.29/5.49 inference(modus_ponens,[status(thm)],[25844, 25843])).
% 7.29/5.49 tff(25846,plain,
% 7.29/5.49 (v205(constB99) <=> (~((~v159(constB99)) | (~v202(constB99))))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25845, 138])).
% 7.29/5.49 tff(25847,plain,
% 7.29/5.49 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB99) <=> v182(constB99))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25848,plain,
% 7.29/5.49 (v159(constB99) <=> v182(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25847, 15113])).
% 7.29/5.49 tff(25849,plain,
% 7.29/5.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB98, constB99)) | (v182(constB99) <=> v180(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB98, constB99)) | (v182(constB99) <=> v180(constB98)))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25850,plain,
% 7.29/5.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB98, constB99)) | (v182(constB99) <=> v180(constB98)))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25851,plain,
% 7.29/5.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB98, constB99)) | (v182(constB99) <=> v180(constB98))),
% 7.29/5.49 inference(modus_ponens,[status(thm)],[25850, 25849])).
% 7.29/5.49 tff(25852,plain,
% 7.29/5.49 (v182(constB99) <=> v180(constB98)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25851, 1373, 15125])).
% 7.29/5.49 tff(25853,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB98) <=> (~((~v183(constB98)) | (~v184(constB98)))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25854,plain,
% 7.29/5.49 (v180(constB98) <=> (~((~v183(constB98)) | (~v184(constB98))))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25853, 15139])).
% 7.29/5.49 tff(25855,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB98) <=> (~((~v185(constB98)) | (~v161(constB98)))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25856,plain,
% 7.29/5.49 (v184(constB98) <=> (~((~v185(constB98)) | (~v161(constB98))))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25855, 15151])).
% 7.29/5.49 tff(25857,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25858,plain,
% 7.29/5.49 (v185(constB98) <=> (~((~v39(constB98)) | (~v9(constB98))))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25857, 93])).
% 7.29/5.49 tff(25859,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB98)) <=> v1(constB98))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25860,plain,
% 7.29/5.49 ((~v39(constB98)) <=> v1(constB98)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25859, 102])).
% 7.29/5.49 tff(25861,plain,
% 7.29/5.49 ((~((~v39(constB98)) <=> v1(constB98))) | (~v39(constB98)) | (~v1(constB98))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25862,plain,
% 7.29/5.49 ((~((~v39(constB98)) <=> v1(constB98))) | (~v39(constB98))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25861, 12507])).
% 7.29/5.49 tff(25863,plain,
% 7.29/5.49 (~v39(constB98)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25862, 25860])).
% 7.29/5.49 tff(25864,plain,
% 7.29/5.49 (((~v39(constB98)) | (~v9(constB98))) | v39(constB98)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25865,plain,
% 7.29/5.49 ((~v39(constB98)) | (~v9(constB98))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25864, 25863])).
% 7.29/5.49 tff(25866,plain,
% 7.29/5.49 ((~(v185(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))) | (~v185(constB98)) | (~((~v39(constB98)) | (~v9(constB98))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25867,plain,
% 7.29/5.49 ((~(v185(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))) | (~v185(constB98))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25866, 25865])).
% 7.29/5.49 tff(25868,plain,
% 7.29/5.49 (~v185(constB98)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25867, 25858])).
% 7.29/5.49 tff(25869,plain,
% 7.29/5.49 (((~v185(constB98)) | (~v161(constB98))) | v185(constB98)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25870,plain,
% 7.29/5.49 ((~v185(constB98)) | (~v161(constB98))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25869, 25868])).
% 7.29/5.49 tff(25871,plain,
% 7.29/5.49 ((~(v184(constB98) <=> (~((~v185(constB98)) | (~v161(constB98)))))) | (~v184(constB98)) | (~((~v185(constB98)) | (~v161(constB98))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25872,plain,
% 7.29/5.49 ((~(v184(constB98) <=> (~((~v185(constB98)) | (~v161(constB98)))))) | (~v184(constB98))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25871, 25870])).
% 7.29/5.49 tff(25873,plain,
% 7.29/5.49 (~v184(constB98)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25872, 25856])).
% 7.29/5.49 tff(25874,plain,
% 7.29/5.49 (((~v183(constB98)) | (~v184(constB98))) | v184(constB98)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25875,plain,
% 7.29/5.49 ((~v183(constB98)) | (~v184(constB98))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25874, 25873])).
% 7.29/5.49 tff(25876,plain,
% 7.29/5.49 ((~(v180(constB98) <=> (~((~v183(constB98)) | (~v184(constB98)))))) | (~v180(constB98)) | (~((~v183(constB98)) | (~v184(constB98))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25877,plain,
% 7.29/5.49 (~v180(constB98)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25876, 25875, 25854])).
% 7.29/5.49 tff(25878,plain,
% 7.29/5.49 ((~(v182(constB99) <=> v180(constB98))) | (~v182(constB99)) | v180(constB98)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25879,plain,
% 7.29/5.49 (~v182(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25878, 25877, 25852])).
% 7.29/5.49 tff(25880,plain,
% 7.29/5.49 ((~(v159(constB99) <=> v182(constB99))) | (~v159(constB99)) | v182(constB99)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25881,plain,
% 7.29/5.49 (~v159(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25880, 25879, 25848])).
% 7.29/5.49 tff(25882,plain,
% 7.29/5.49 (((~v159(constB99)) | (~v202(constB99))) | v159(constB99)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25883,plain,
% 7.29/5.49 ((~v159(constB99)) | (~v202(constB99))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25882, 25881])).
% 7.29/5.49 tff(25884,plain,
% 7.29/5.49 ((~(v205(constB99) <=> (~((~v159(constB99)) | (~v202(constB99)))))) | (~v205(constB99)) | (~((~v159(constB99)) | (~v202(constB99))))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25885,plain,
% 7.29/5.49 (~v205(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25884, 25883, 25846])).
% 7.29/5.49 tff(25886,plain,
% 7.29/5.49 ((~(v201(constB99) | v205(constB99))) | v201(constB99) | v205(constB99)),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25887,plain,
% 7.29/5.49 ((~(v201(constB99) | v205(constB99))) | v201(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25886, 25885])).
% 7.29/5.49 tff(25888,plain,
% 7.29/5.49 (~(v201(constB99) | v205(constB99))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25887, 25839])).
% 7.29/5.49 tff(25889,plain,
% 7.29/5.49 ((~(v200(constB99) <=> (v201(constB99) | v205(constB99)))) | (~v200(constB99)) | (v201(constB99) | v205(constB99))),
% 7.29/5.49 inference(tautology,[status(thm)],[])).
% 7.29/5.49 tff(25890,plain,
% 7.29/5.49 (~v200(constB99)),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25889, 25888, 25746])).
% 7.29/5.49 tff(25891,plain,
% 7.29/5.49 ($false),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25890, 25744])).
% 7.29/5.49 tff(25892,plain,(~(constB99 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.29/5.49 tff(25893,assumption,(constB64 = VarCurr!0), introduced(assumption)).
% 7.29/5.49 tff(25894,plain,
% 7.29/5.49 (v200(constB64) <=> v200(VarCurr!0)),
% 7.29/5.49 inference(monotonicity,[status(thm)],[25893])).
% 7.29/5.49 tff(25895,plain,
% 7.29/5.49 (v200(VarCurr!0) <=> v200(constB64)),
% 7.29/5.49 inference(symmetry,[status(thm)],[25894])).
% 7.29/5.49 tff(25896,plain,
% 7.29/5.49 (v200(constB64)),
% 7.29/5.49 inference(modus_ponens,[status(thm)],[27, 25895])).
% 7.29/5.49 tff(25897,plain,
% 7.29/5.49 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB64) <=> (v201(constB64) | v205(constB64)))),
% 7.29/5.49 inference(quant_inst,[status(thm)],[])).
% 7.29/5.49 tff(25898,plain,
% 7.29/5.49 (v200(constB64) <=> (v201(constB64) | v205(constB64))),
% 7.29/5.49 inference(unit_resolution,[status(thm)],[25897, 35])).
% 7.29/5.49 tff(25899,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB64) <=> (~((~v157(constB64)) | (~v202(constB64)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB64) <=> (~((~v157(constB64)) | (~v202(constB64))))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25900,plain,
% 7.29/5.49 ((v201(constB64) <=> (~((~v202(constB64)) | (~v157(constB64))))) <=> (v201(constB64) <=> (~((~v157(constB64)) | (~v202(constB64)))))),
% 7.29/5.49 inference(rewrite,[status(thm)],[])).
% 7.29/5.49 tff(25901,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB64) <=> (~((~v202(constB64)) | (~v157(constB64)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB64) <=> (~((~v157(constB64)) | (~v202(constB64))))))),
% 7.29/5.49 inference(monotonicity,[status(thm)],[25900])).
% 7.29/5.49 tff(25902,plain,
% 7.29/5.49 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB64) <=> (~((~v202(constB64)) | (~v157(constB64)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB64) <=> (~((~v157(constB64)) | (~v202(constB64))))))),
% 7.29/5.50 inference(transitivity,[status(thm)],[25901, 25899])).
% 7.29/5.50 tff(25903,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB64) <=> (~((~v202(constB64)) | (~v157(constB64)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(25904,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB64) <=> (~((~v157(constB64)) | (~v202(constB64)))))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[25903, 25902])).
% 7.29/5.50 tff(25905,plain,
% 7.29/5.50 (v201(constB64) <=> (~((~v157(constB64)) | (~v202(constB64))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25904, 47])).
% 7.29/5.50 tff(25906,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB64) <=> (~((~v183(constB64)) | (~v203(constB64)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(25907,plain,
% 7.29/5.50 (v202(constB64) <=> (~((~v183(constB64)) | (~v203(constB64))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25906, 64])).
% 7.29/5.50 tff(25908,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB64) <=> (~((~v185(constB64)) | (~v204(constB64)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB64) <=> (~((~v185(constB64)) | (~v204(constB64))))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(25909,plain,
% 7.29/5.50 ((v203(constB64) <=> (~((~v204(constB64)) | (~v185(constB64))))) <=> (v203(constB64) <=> (~((~v185(constB64)) | (~v204(constB64)))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(25910,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB64) <=> (~((~v204(constB64)) | (~v185(constB64)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB64) <=> (~((~v185(constB64)) | (~v204(constB64))))))),
% 7.29/5.50 inference(monotonicity,[status(thm)],[25909])).
% 7.29/5.50 tff(25911,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB64) <=> (~((~v204(constB64)) | (~v185(constB64)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB64) <=> (~((~v185(constB64)) | (~v204(constB64))))))),
% 7.29/5.50 inference(transitivity,[status(thm)],[25910, 25908])).
% 7.29/5.50 tff(25912,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB64) <=> (~((~v204(constB64)) | (~v185(constB64)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(25913,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB64) <=> (~((~v185(constB64)) | (~v204(constB64)))))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[25912, 25911])).
% 7.29/5.50 tff(25914,plain,
% 7.29/5.50 (v203(constB64) <=> (~((~v185(constB64)) | (~v204(constB64))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25913, 76])).
% 7.29/5.50 tff(25915,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB64) <=> (~((~v39(constB64)) | (~v9(constB64)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(25916,plain,
% 7.29/5.50 (v185(constB64) <=> (~((~v39(constB64)) | (~v9(constB64))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25915, 93])).
% 7.29/5.50 tff(25917,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB64)) <=> v1(constB64))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(25918,plain,
% 7.29/5.50 ((~v39(constB64)) <=> v1(constB64)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25917, 102])).
% 7.29/5.50 tff(25919,plain,
% 7.29/5.50 ((~((~v39(constB64)) <=> v1(constB64))) | (~v39(constB64)) | (~v1(constB64))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25920,plain,
% 7.29/5.50 ((~((~v39(constB64)) <=> v1(constB64))) | (~v39(constB64))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25919, 9774])).
% 7.29/5.50 tff(25921,plain,
% 7.29/5.50 (~v39(constB64)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25920, 25918])).
% 7.29/5.50 tff(25922,plain,
% 7.29/5.50 (((~v39(constB64)) | (~v9(constB64))) | v39(constB64)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25923,plain,
% 7.29/5.50 ((~v39(constB64)) | (~v9(constB64))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25922, 25921])).
% 7.29/5.50 tff(25924,plain,
% 7.29/5.50 ((~(v185(constB64) <=> (~((~v39(constB64)) | (~v9(constB64)))))) | (~v185(constB64)) | (~((~v39(constB64)) | (~v9(constB64))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25925,plain,
% 7.29/5.50 ((~(v185(constB64) <=> (~((~v39(constB64)) | (~v9(constB64)))))) | (~v185(constB64))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25924, 25923])).
% 7.29/5.50 tff(25926,plain,
% 7.29/5.50 (~v185(constB64)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25925, 25916])).
% 7.29/5.50 tff(25927,plain,
% 7.29/5.50 (((~v185(constB64)) | (~v204(constB64))) | v185(constB64)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25928,plain,
% 7.29/5.50 ((~v185(constB64)) | (~v204(constB64))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25927, 25926])).
% 7.29/5.50 tff(25929,plain,
% 7.29/5.50 ((~(v203(constB64) <=> (~((~v185(constB64)) | (~v204(constB64)))))) | (~v203(constB64)) | (~((~v185(constB64)) | (~v204(constB64))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25930,plain,
% 7.29/5.50 ((~(v203(constB64) <=> (~((~v185(constB64)) | (~v204(constB64)))))) | (~v203(constB64))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25929, 25928])).
% 7.29/5.50 tff(25931,plain,
% 7.29/5.50 (~v203(constB64)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25930, 25914])).
% 7.29/5.50 tff(25932,plain,
% 7.29/5.50 (((~v183(constB64)) | (~v203(constB64))) | v203(constB64)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25933,plain,
% 7.29/5.50 ((~v183(constB64)) | (~v203(constB64))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25932, 25931])).
% 7.29/5.50 tff(25934,plain,
% 7.29/5.50 ((~(v202(constB64) <=> (~((~v183(constB64)) | (~v203(constB64)))))) | (~v202(constB64)) | (~((~v183(constB64)) | (~v203(constB64))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25935,plain,
% 7.29/5.50 (~v202(constB64)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25934, 25933, 25907])).
% 7.29/5.50 tff(25936,plain,
% 7.29/5.50 (((~v157(constB64)) | (~v202(constB64))) | v202(constB64)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25937,plain,
% 7.29/5.50 ((~v157(constB64)) | (~v202(constB64))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25936, 25935])).
% 7.29/5.50 tff(25938,plain,
% 7.29/5.50 ((~(v201(constB64) <=> (~((~v157(constB64)) | (~v202(constB64)))))) | (~v201(constB64)) | (~((~v157(constB64)) | (~v202(constB64))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25939,plain,
% 7.29/5.50 (~v201(constB64)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25938, 25937, 25905])).
% 7.29/5.50 tff(25940,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB64) <=> (~((~v159(constB64)) | (~v202(constB64)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB64) <=> (~((~v159(constB64)) | (~v202(constB64))))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(25941,plain,
% 7.29/5.50 ((v205(constB64) <=> (~((~v202(constB64)) | (~v159(constB64))))) <=> (v205(constB64) <=> (~((~v159(constB64)) | (~v202(constB64)))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(25942,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB64) <=> (~((~v202(constB64)) | (~v159(constB64)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB64) <=> (~((~v159(constB64)) | (~v202(constB64))))))),
% 7.29/5.50 inference(monotonicity,[status(thm)],[25941])).
% 7.29/5.50 tff(25943,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB64) <=> (~((~v202(constB64)) | (~v159(constB64)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB64) <=> (~((~v159(constB64)) | (~v202(constB64))))))),
% 7.29/5.50 inference(transitivity,[status(thm)],[25942, 25940])).
% 7.29/5.50 tff(25944,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB64) <=> (~((~v202(constB64)) | (~v159(constB64)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(25945,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB64) <=> (~((~v159(constB64)) | (~v202(constB64)))))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[25944, 25943])).
% 7.29/5.50 tff(25946,plain,
% 7.29/5.50 (v205(constB64) <=> (~((~v159(constB64)) | (~v202(constB64))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25945, 138])).
% 7.29/5.50 tff(25947,plain,
% 7.29/5.50 (((~v159(constB64)) | (~v202(constB64))) | v202(constB64)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25948,plain,
% 7.29/5.50 ((~v159(constB64)) | (~v202(constB64))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25947, 25935])).
% 7.29/5.50 tff(25949,plain,
% 7.29/5.50 ((~(v205(constB64) <=> (~((~v159(constB64)) | (~v202(constB64)))))) | (~v205(constB64)) | (~((~v159(constB64)) | (~v202(constB64))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25950,plain,
% 7.29/5.50 (~v205(constB64)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25949, 25948, 25946])).
% 7.29/5.50 tff(25951,plain,
% 7.29/5.50 ((~(v201(constB64) | v205(constB64))) | v201(constB64) | v205(constB64)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25952,plain,
% 7.29/5.50 (~(v201(constB64) | v205(constB64))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25951, 25950, 25939])).
% 7.29/5.50 tff(25953,plain,
% 7.29/5.50 ((~(v200(constB64) <=> (v201(constB64) | v205(constB64)))) | (~v200(constB64)) | (v201(constB64) | v205(constB64))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25954,plain,
% 7.29/5.50 ((~(v200(constB64) <=> (v201(constB64) | v205(constB64)))) | (~v200(constB64))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25953, 25952])).
% 7.29/5.50 tff(25955,plain,
% 7.29/5.50 (~v200(constB64)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25954, 25898])).
% 7.29/5.50 tff(25956,plain,
% 7.29/5.50 ($false),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25955, 25896])).
% 7.29/5.50 tff(25957,plain,(~(constB64 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.29/5.50 tff(25958,assumption,(constB0 = VarCurr!0), introduced(assumption)).
% 7.29/5.50 tff(25959,plain,
% 7.29/5.50 (v200(constB0) <=> v200(VarCurr!0)),
% 7.29/5.50 inference(monotonicity,[status(thm)],[25958])).
% 7.29/5.50 tff(25960,plain,
% 7.29/5.50 (v200(VarCurr!0) <=> v200(constB0)),
% 7.29/5.50 inference(symmetry,[status(thm)],[25959])).
% 7.29/5.50 tff(25961,plain,
% 7.29/5.50 (v200(constB0)),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[27, 25960])).
% 7.29/5.50 tff(25962,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB0) <=> (v201(constB0) | v205(constB0)))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(25963,plain,
% 7.29/5.50 (v200(constB0) <=> (v201(constB0) | v205(constB0))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25962, 35])).
% 7.29/5.50 tff(25964,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB0) <=> (~((~v157(constB0)) | (~v202(constB0)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB0) <=> (~((~v157(constB0)) | (~v202(constB0))))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(25965,plain,
% 7.29/5.50 ((v201(constB0) <=> (~((~v202(constB0)) | (~v157(constB0))))) <=> (v201(constB0) <=> (~((~v157(constB0)) | (~v202(constB0)))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(25966,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB0) <=> (~((~v202(constB0)) | (~v157(constB0)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB0) <=> (~((~v157(constB0)) | (~v202(constB0))))))),
% 7.29/5.50 inference(monotonicity,[status(thm)],[25965])).
% 7.29/5.50 tff(25967,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB0) <=> (~((~v202(constB0)) | (~v157(constB0)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB0) <=> (~((~v157(constB0)) | (~v202(constB0))))))),
% 7.29/5.50 inference(transitivity,[status(thm)],[25966, 25964])).
% 7.29/5.50 tff(25968,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB0) <=> (~((~v202(constB0)) | (~v157(constB0)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(25969,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB0) <=> (~((~v157(constB0)) | (~v202(constB0)))))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[25968, 25967])).
% 7.29/5.50 tff(25970,plain,
% 7.29/5.50 (v201(constB0) <=> (~((~v157(constB0)) | (~v202(constB0))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25969, 47])).
% 7.29/5.50 tff(25971,plain,
% 7.29/5.50 ((~v157(constB0)) <=> (~v157(constB0))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(25972,axiom,(~v157(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_8')).
% 7.29/5.50 tff(25973,plain,
% 7.29/5.50 (~v157(constB0)),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[25972, 25971])).
% 7.29/5.50 tff(25974,plain,
% 7.29/5.50 (((~v157(constB0)) | (~v202(constB0))) | v157(constB0)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25975,plain,
% 7.29/5.50 ((~v157(constB0)) | (~v202(constB0))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25974, 25973])).
% 7.29/5.50 tff(25976,plain,
% 7.29/5.50 ((~(v201(constB0) <=> (~((~v157(constB0)) | (~v202(constB0)))))) | (~v201(constB0)) | (~((~v157(constB0)) | (~v202(constB0))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25977,plain,
% 7.29/5.50 ((~(v201(constB0) <=> (~((~v157(constB0)) | (~v202(constB0)))))) | (~v201(constB0))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25976, 25975])).
% 7.29/5.50 tff(25978,plain,
% 7.29/5.50 (~v201(constB0)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25977, 25970])).
% 7.29/5.50 tff(25979,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB0) <=> (~((~v159(constB0)) | (~v202(constB0)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB0) <=> (~((~v159(constB0)) | (~v202(constB0))))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(25980,plain,
% 7.29/5.50 ((v205(constB0) <=> (~((~v202(constB0)) | (~v159(constB0))))) <=> (v205(constB0) <=> (~((~v159(constB0)) | (~v202(constB0)))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(25981,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB0) <=> (~((~v202(constB0)) | (~v159(constB0)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB0) <=> (~((~v159(constB0)) | (~v202(constB0))))))),
% 7.29/5.50 inference(monotonicity,[status(thm)],[25980])).
% 7.29/5.50 tff(25982,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB0) <=> (~((~v202(constB0)) | (~v159(constB0)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB0) <=> (~((~v159(constB0)) | (~v202(constB0))))))),
% 7.29/5.50 inference(transitivity,[status(thm)],[25981, 25979])).
% 7.29/5.50 tff(25983,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB0) <=> (~((~v202(constB0)) | (~v159(constB0)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(25984,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB0) <=> (~((~v159(constB0)) | (~v202(constB0)))))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[25983, 25982])).
% 7.29/5.50 tff(25985,plain,
% 7.29/5.50 (v205(constB0) <=> (~((~v159(constB0)) | (~v202(constB0))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25984, 138])).
% 7.29/5.50 tff(25986,plain,
% 7.29/5.50 ((~v159(constB0)) <=> (~v159(constB0))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(25987,axiom,(~v159(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_7')).
% 7.29/5.50 tff(25988,plain,
% 7.29/5.50 (~v159(constB0)),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[25987, 25986])).
% 7.29/5.50 tff(25989,plain,
% 7.29/5.50 (((~v159(constB0)) | (~v202(constB0))) | v159(constB0)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25990,plain,
% 7.29/5.50 ((~v159(constB0)) | (~v202(constB0))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25989, 25988])).
% 7.29/5.50 tff(25991,plain,
% 7.29/5.50 ((~(v205(constB0) <=> (~((~v159(constB0)) | (~v202(constB0)))))) | (~v205(constB0)) | (~((~v159(constB0)) | (~v202(constB0))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25992,plain,
% 7.29/5.50 ((~(v205(constB0) <=> (~((~v159(constB0)) | (~v202(constB0)))))) | (~v205(constB0))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25991, 25990])).
% 7.29/5.50 tff(25993,plain,
% 7.29/5.50 (~v205(constB0)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25992, 25985])).
% 7.29/5.50 tff(25994,plain,
% 7.29/5.50 ((~(v201(constB0) | v205(constB0))) | v201(constB0) | v205(constB0)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25995,plain,
% 7.29/5.50 (~(v201(constB0) | v205(constB0))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25994, 25993, 25978])).
% 7.29/5.50 tff(25996,plain,
% 7.29/5.50 ((~(v200(constB0) <=> (v201(constB0) | v205(constB0)))) | (~v200(constB0)) | (v201(constB0) | v205(constB0))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(25997,plain,
% 7.29/5.50 ((~(v200(constB0) <=> (v201(constB0) | v205(constB0)))) | (~v200(constB0))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25996, 25995])).
% 7.29/5.50 tff(25998,plain,
% 7.29/5.50 (~v200(constB0)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25997, 25963])).
% 7.29/5.50 tff(25999,plain,
% 7.29/5.50 ($false),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[25998, 25961])).
% 7.29/5.50 tff(26000,plain,(~(constB0 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.29/5.50 tff(26001,assumption,(constB62 = VarCurr!0), introduced(assumption)).
% 7.29/5.50 tff(26002,plain,
% 7.29/5.50 (v200(constB62) <=> v200(VarCurr!0)),
% 7.29/5.50 inference(monotonicity,[status(thm)],[26001])).
% 7.29/5.50 tff(26003,plain,
% 7.29/5.50 (v200(VarCurr!0) <=> v200(constB62)),
% 7.29/5.50 inference(symmetry,[status(thm)],[26002])).
% 7.29/5.50 tff(26004,plain,
% 7.29/5.50 (v200(constB62)),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[27, 26003])).
% 7.29/5.50 tff(26005,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB62) <=> (v201(constB62) | v205(constB62)))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26006,plain,
% 7.29/5.50 (v200(constB62) <=> (v201(constB62) | v205(constB62))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26005, 35])).
% 7.29/5.50 tff(26007,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB62) <=> (~((~v157(constB62)) | (~v202(constB62)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB62) <=> (~((~v157(constB62)) | (~v202(constB62))))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26008,plain,
% 7.29/5.50 ((v201(constB62) <=> (~((~v202(constB62)) | (~v157(constB62))))) <=> (v201(constB62) <=> (~((~v157(constB62)) | (~v202(constB62)))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26009,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB62) <=> (~((~v202(constB62)) | (~v157(constB62)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB62) <=> (~((~v157(constB62)) | (~v202(constB62))))))),
% 7.29/5.50 inference(monotonicity,[status(thm)],[26008])).
% 7.29/5.50 tff(26010,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB62) <=> (~((~v202(constB62)) | (~v157(constB62)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB62) <=> (~((~v157(constB62)) | (~v202(constB62))))))),
% 7.29/5.50 inference(transitivity,[status(thm)],[26009, 26007])).
% 7.29/5.50 tff(26011,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB62) <=> (~((~v202(constB62)) | (~v157(constB62)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26012,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB62) <=> (~((~v157(constB62)) | (~v202(constB62)))))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[26011, 26010])).
% 7.29/5.50 tff(26013,plain,
% 7.29/5.50 (v201(constB62) <=> (~((~v157(constB62)) | (~v202(constB62))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26012, 47])).
% 7.29/5.50 tff(26014,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB62) <=> (~((~v183(constB62)) | (~v203(constB62)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26015,plain,
% 7.29/5.50 (v202(constB62) <=> (~((~v183(constB62)) | (~v203(constB62))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26014, 64])).
% 7.29/5.50 tff(26016,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB62) <=> (~((~v185(constB62)) | (~v204(constB62)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB62) <=> (~((~v185(constB62)) | (~v204(constB62))))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26017,plain,
% 7.29/5.50 ((v203(constB62) <=> (~((~v204(constB62)) | (~v185(constB62))))) <=> (v203(constB62) <=> (~((~v185(constB62)) | (~v204(constB62)))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26018,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB62) <=> (~((~v204(constB62)) | (~v185(constB62)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB62) <=> (~((~v185(constB62)) | (~v204(constB62))))))),
% 7.29/5.50 inference(monotonicity,[status(thm)],[26017])).
% 7.29/5.50 tff(26019,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB62) <=> (~((~v204(constB62)) | (~v185(constB62)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB62) <=> (~((~v185(constB62)) | (~v204(constB62))))))),
% 7.29/5.50 inference(transitivity,[status(thm)],[26018, 26016])).
% 7.29/5.50 tff(26020,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB62) <=> (~((~v204(constB62)) | (~v185(constB62)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26021,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB62) <=> (~((~v185(constB62)) | (~v204(constB62)))))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[26020, 26019])).
% 7.29/5.50 tff(26022,plain,
% 7.29/5.50 (v203(constB62) <=> (~((~v185(constB62)) | (~v204(constB62))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26021, 76])).
% 7.29/5.50 tff(26023,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26024,plain,
% 7.29/5.50 (v185(constB62) <=> (~((~v39(constB62)) | (~v9(constB62))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26023, 93])).
% 7.29/5.50 tff(26025,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB62)) <=> v1(constB62))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26026,plain,
% 7.29/5.50 ((~v39(constB62)) <=> v1(constB62)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26025, 102])).
% 7.29/5.50 tff(26027,plain,
% 7.29/5.50 ((~((~v39(constB62)) <=> v1(constB62))) | (~v39(constB62)) | (~v1(constB62))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26028,plain,
% 7.29/5.50 ((~((~v39(constB62)) <=> v1(constB62))) | (~v39(constB62))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26027, 9625])).
% 7.29/5.50 tff(26029,plain,
% 7.29/5.50 (~v39(constB62)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26028, 26026])).
% 7.29/5.50 tff(26030,plain,
% 7.29/5.50 (((~v39(constB62)) | (~v9(constB62))) | v39(constB62)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26031,plain,
% 7.29/5.50 ((~v39(constB62)) | (~v9(constB62))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26030, 26029])).
% 7.29/5.50 tff(26032,plain,
% 7.29/5.50 ((~(v185(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))) | (~v185(constB62)) | (~((~v39(constB62)) | (~v9(constB62))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26033,plain,
% 7.29/5.50 ((~(v185(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))) | (~v185(constB62))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26032, 26031])).
% 7.29/5.50 tff(26034,plain,
% 7.29/5.50 (~v185(constB62)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26033, 26024])).
% 7.29/5.50 tff(26035,plain,
% 7.29/5.50 (((~v185(constB62)) | (~v204(constB62))) | v185(constB62)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26036,plain,
% 7.29/5.50 ((~v185(constB62)) | (~v204(constB62))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26035, 26034])).
% 7.29/5.50 tff(26037,plain,
% 7.29/5.50 ((~(v203(constB62) <=> (~((~v185(constB62)) | (~v204(constB62)))))) | (~v203(constB62)) | (~((~v185(constB62)) | (~v204(constB62))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26038,plain,
% 7.29/5.50 ((~(v203(constB62) <=> (~((~v185(constB62)) | (~v204(constB62)))))) | (~v203(constB62))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26037, 26036])).
% 7.29/5.50 tff(26039,plain,
% 7.29/5.50 (~v203(constB62)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26038, 26022])).
% 7.29/5.50 tff(26040,plain,
% 7.29/5.50 (((~v183(constB62)) | (~v203(constB62))) | v203(constB62)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26041,plain,
% 7.29/5.50 ((~v183(constB62)) | (~v203(constB62))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26040, 26039])).
% 7.29/5.50 tff(26042,plain,
% 7.29/5.50 ((~(v202(constB62) <=> (~((~v183(constB62)) | (~v203(constB62)))))) | (~v202(constB62)) | (~((~v183(constB62)) | (~v203(constB62))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26043,plain,
% 7.29/5.50 (~v202(constB62)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26042, 26041, 26015])).
% 7.29/5.50 tff(26044,plain,
% 7.29/5.50 (((~v157(constB62)) | (~v202(constB62))) | v202(constB62)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26045,plain,
% 7.29/5.50 ((~v157(constB62)) | (~v202(constB62))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26044, 26043])).
% 7.29/5.50 tff(26046,plain,
% 7.29/5.50 ((~(v201(constB62) <=> (~((~v157(constB62)) | (~v202(constB62)))))) | (~v201(constB62)) | (~((~v157(constB62)) | (~v202(constB62))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26047,plain,
% 7.29/5.50 (~v201(constB62)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26046, 26045, 26013])).
% 7.29/5.50 tff(26048,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB62) <=> (~((~v159(constB62)) | (~v202(constB62)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB62) <=> (~((~v159(constB62)) | (~v202(constB62))))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26049,plain,
% 7.29/5.50 ((v205(constB62) <=> (~((~v202(constB62)) | (~v159(constB62))))) <=> (v205(constB62) <=> (~((~v159(constB62)) | (~v202(constB62)))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26050,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB62) <=> (~((~v202(constB62)) | (~v159(constB62)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB62) <=> (~((~v159(constB62)) | (~v202(constB62))))))),
% 7.29/5.50 inference(monotonicity,[status(thm)],[26049])).
% 7.29/5.50 tff(26051,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB62) <=> (~((~v202(constB62)) | (~v159(constB62)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB62) <=> (~((~v159(constB62)) | (~v202(constB62))))))),
% 7.29/5.50 inference(transitivity,[status(thm)],[26050, 26048])).
% 7.29/5.50 tff(26052,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB62) <=> (~((~v202(constB62)) | (~v159(constB62)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26053,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB62) <=> (~((~v159(constB62)) | (~v202(constB62)))))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[26052, 26051])).
% 7.29/5.50 tff(26054,plain,
% 7.29/5.50 (v205(constB62) <=> (~((~v159(constB62)) | (~v202(constB62))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26053, 138])).
% 7.29/5.50 tff(26055,plain,
% 7.29/5.50 (((~v159(constB62)) | (~v202(constB62))) | v202(constB62)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26056,plain,
% 7.29/5.50 ((~v159(constB62)) | (~v202(constB62))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26055, 26043])).
% 7.29/5.50 tff(26057,plain,
% 7.29/5.50 ((~(v205(constB62) <=> (~((~v159(constB62)) | (~v202(constB62)))))) | (~v205(constB62)) | (~((~v159(constB62)) | (~v202(constB62))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26058,plain,
% 7.29/5.50 (~v205(constB62)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26057, 26056, 26054])).
% 7.29/5.50 tff(26059,plain,
% 7.29/5.50 ((~(v201(constB62) | v205(constB62))) | v201(constB62) | v205(constB62)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26060,plain,
% 7.29/5.50 (~(v201(constB62) | v205(constB62))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26059, 26058, 26047])).
% 7.29/5.50 tff(26061,plain,
% 7.29/5.50 ((~(v200(constB62) <=> (v201(constB62) | v205(constB62)))) | (~v200(constB62)) | (v201(constB62) | v205(constB62))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26062,plain,
% 7.29/5.50 ((~(v200(constB62) <=> (v201(constB62) | v205(constB62)))) | (~v200(constB62))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26061, 26060])).
% 7.29/5.50 tff(26063,plain,
% 7.29/5.50 (~v200(constB62)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26062, 26006])).
% 7.29/5.50 tff(26064,plain,
% 7.29/5.50 ($false),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26063, 26004])).
% 7.29/5.50 tff(26065,plain,(~(constB62 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.29/5.50 tff(26066,assumption,(constB153 = VarCurr!0), introduced(assumption)).
% 7.29/5.50 tff(26067,plain,
% 7.29/5.50 (v200(constB153) <=> v200(VarCurr!0)),
% 7.29/5.50 inference(monotonicity,[status(thm)],[26066])).
% 7.29/5.50 tff(26068,plain,
% 7.29/5.50 (v200(VarCurr!0) <=> v200(constB153)),
% 7.29/5.50 inference(symmetry,[status(thm)],[26067])).
% 7.29/5.50 tff(26069,plain,
% 7.29/5.50 (v200(constB153)),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[27, 26068])).
% 7.29/5.50 tff(26070,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB153) <=> (v201(constB153) | v205(constB153)))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26071,plain,
% 7.29/5.50 (v200(constB153) <=> (v201(constB153) | v205(constB153))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26070, 35])).
% 7.29/5.50 tff(26072,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB153) <=> (~((~v157(constB153)) | (~v202(constB153)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB153) <=> (~((~v157(constB153)) | (~v202(constB153))))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26073,plain,
% 7.29/5.50 ((v201(constB153) <=> (~((~v202(constB153)) | (~v157(constB153))))) <=> (v201(constB153) <=> (~((~v157(constB153)) | (~v202(constB153)))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26074,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB153) <=> (~((~v202(constB153)) | (~v157(constB153)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB153) <=> (~((~v157(constB153)) | (~v202(constB153))))))),
% 7.29/5.50 inference(monotonicity,[status(thm)],[26073])).
% 7.29/5.50 tff(26075,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB153) <=> (~((~v202(constB153)) | (~v157(constB153)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB153) <=> (~((~v157(constB153)) | (~v202(constB153))))))),
% 7.29/5.50 inference(transitivity,[status(thm)],[26074, 26072])).
% 7.29/5.50 tff(26076,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB153) <=> (~((~v202(constB153)) | (~v157(constB153)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26077,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB153) <=> (~((~v157(constB153)) | (~v202(constB153)))))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[26076, 26075])).
% 7.29/5.50 tff(26078,plain,
% 7.29/5.50 (v201(constB153) <=> (~((~v157(constB153)) | (~v202(constB153))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26077, 47])).
% 7.29/5.50 tff(26079,plain,
% 7.29/5.50 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB153) <=> v192(constB153))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26080,plain,
% 7.29/5.50 (v157(constB153) <=> v192(constB153)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26079, 15407])).
% 7.29/5.50 tff(26081,plain,
% 7.29/5.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB152, constB153)) | (v192(constB153) <=> v190(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB152, constB153)) | (v192(constB153) <=> v190(constB152)))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26082,plain,
% 7.29/5.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB152, constB153)) | (v192(constB153) <=> v190(constB152)))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26083,plain,
% 7.29/5.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB152, constB153)) | (v192(constB153) <=> v190(constB152))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[26082, 26081])).
% 7.29/5.50 tff(26084,plain,
% 7.29/5.50 (v192(constB153) <=> v190(constB152)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26083, 17816, 15419])).
% 7.29/5.50 tff(26085,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB152) <=> (v193(constB152) | v196(constB152)))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26086,plain,
% 7.29/5.50 (v190(constB152) <=> (v193(constB152) | v196(constB152))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26085, 15430])).
% 7.29/5.50 tff(26087,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB152) <=> (~((~v157(constB152)) | (~v194(constB152)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB152) <=> (~((~v157(constB152)) | (~v194(constB152))))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26088,plain,
% 7.29/5.50 ((v193(constB152) <=> (~((~v194(constB152)) | (~v157(constB152))))) <=> (v193(constB152) <=> (~((~v157(constB152)) | (~v194(constB152)))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26089,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB152) <=> (~((~v194(constB152)) | (~v157(constB152)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB152) <=> (~((~v157(constB152)) | (~v194(constB152))))))),
% 7.29/5.50 inference(monotonicity,[status(thm)],[26088])).
% 7.29/5.50 tff(26090,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB152) <=> (~((~v194(constB152)) | (~v157(constB152)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB152) <=> (~((~v157(constB152)) | (~v194(constB152))))))),
% 7.29/5.50 inference(transitivity,[status(thm)],[26089, 26087])).
% 7.29/5.50 tff(26091,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB152) <=> (~((~v194(constB152)) | (~v157(constB152)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26092,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB152) <=> (~((~v157(constB152)) | (~v194(constB152)))))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[26091, 26090])).
% 7.29/5.50 tff(26093,plain,
% 7.29/5.50 (v193(constB152) <=> (~((~v157(constB152)) | (~v194(constB152))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26092, 15442])).
% 7.29/5.50 tff(26094,plain,
% 7.29/5.50 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB152) <=> v192(constB152))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26095,plain,
% 7.29/5.50 (v157(constB152) <=> v192(constB152)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26094, 15407])).
% 7.29/5.50 tff(26096,plain,
% 7.29/5.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB151, constB152)) | (v192(constB152) <=> v190(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB151, constB152)) | (v192(constB152) <=> v190(constB151)))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26097,plain,
% 7.29/5.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB151, constB152)) | (v192(constB152) <=> v190(constB151)))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26098,plain,
% 7.29/5.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB151, constB152)) | (v192(constB152) <=> v190(constB151))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[26097, 26096])).
% 7.29/5.50 tff(26099,plain,
% 7.29/5.50 (v192(constB152) <=> v190(constB151)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26098, 17852, 15419])).
% 7.29/5.50 tff(26100,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB151) <=> (v193(constB151) | v196(constB151)))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26101,plain,
% 7.29/5.50 (v190(constB151) <=> (v193(constB151) | v196(constB151))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26100, 15430])).
% 7.29/5.50 tff(26102,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB151) <=> (~((~v159(constB151)) | (~v194(constB151)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB151) <=> (~((~v159(constB151)) | (~v194(constB151))))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26103,plain,
% 7.29/5.50 ((v196(constB151) <=> (~((~v194(constB151)) | (~v159(constB151))))) <=> (v196(constB151) <=> (~((~v159(constB151)) | (~v194(constB151)))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26104,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB151) <=> (~((~v194(constB151)) | (~v159(constB151)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB151) <=> (~((~v159(constB151)) | (~v194(constB151))))))),
% 7.29/5.50 inference(monotonicity,[status(thm)],[26103])).
% 7.29/5.50 tff(26105,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB151) <=> (~((~v194(constB151)) | (~v159(constB151)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB151) <=> (~((~v159(constB151)) | (~v194(constB151))))))),
% 7.29/5.50 inference(transitivity,[status(thm)],[26104, 26102])).
% 7.29/5.50 tff(26106,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB151) <=> (~((~v194(constB151)) | (~v159(constB151)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26107,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB151) <=> (~((~v159(constB151)) | (~v194(constB151)))))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[26106, 26105])).
% 7.29/5.50 tff(26108,plain,
% 7.29/5.50 (v196(constB151) <=> (~((~v159(constB151)) | (~v194(constB151))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26107, 15467])).
% 7.29/5.50 tff(26109,plain,
% 7.29/5.50 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB151) <=> v182(constB151))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26110,plain,
% 7.29/5.50 (v159(constB151) <=> v182(constB151)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26109, 15113])).
% 7.29/5.50 tff(26111,plain,
% 7.29/5.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB150, constB151)) | (v182(constB151) <=> v180(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB150, constB151)) | (v182(constB151) <=> v180(constB150)))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26112,plain,
% 7.29/5.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB150, constB151)) | (v182(constB151) <=> v180(constB150)))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26113,plain,
% 7.29/5.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB150, constB151)) | (v182(constB151) <=> v180(constB150))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[26112, 26111])).
% 7.29/5.50 tff(26114,plain,
% 7.29/5.50 (v182(constB151) <=> v180(constB150)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26113, 17882, 15125])).
% 7.29/5.50 tff(26115,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB150) <=> (~((~v183(constB150)) | (~v184(constB150)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26116,plain,
% 7.29/5.50 (v180(constB150) <=> (~((~v183(constB150)) | (~v184(constB150))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26115, 15139])).
% 7.29/5.50 tff(26117,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB150) <=> (~((~v185(constB150)) | (~v161(constB150)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26118,plain,
% 7.29/5.50 (v184(constB150) <=> (~((~v185(constB150)) | (~v161(constB150))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26117, 15151])).
% 7.29/5.50 tff(26119,plain,
% 7.29/5.50 (((~v185(constB150)) | (~v161(constB150))) | v185(constB150)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26120,plain,
% 7.29/5.50 ((~v185(constB150)) | (~v161(constB150))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26119, 23546])).
% 7.29/5.50 tff(26121,plain,
% 7.29/5.50 ((~(v184(constB150) <=> (~((~v185(constB150)) | (~v161(constB150)))))) | (~v184(constB150)) | (~((~v185(constB150)) | (~v161(constB150))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26122,plain,
% 7.29/5.50 ((~(v184(constB150) <=> (~((~v185(constB150)) | (~v161(constB150)))))) | (~v184(constB150))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26121, 26120])).
% 7.29/5.50 tff(26123,plain,
% 7.29/5.50 (~v184(constB150)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26122, 26118])).
% 7.29/5.50 tff(26124,plain,
% 7.29/5.50 (((~v183(constB150)) | (~v184(constB150))) | v184(constB150)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26125,plain,
% 7.29/5.50 ((~v183(constB150)) | (~v184(constB150))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26124, 26123])).
% 7.29/5.50 tff(26126,plain,
% 7.29/5.50 ((~(v180(constB150) <=> (~((~v183(constB150)) | (~v184(constB150)))))) | (~v180(constB150)) | (~((~v183(constB150)) | (~v184(constB150))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26127,plain,
% 7.29/5.50 (~v180(constB150)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26126, 26125, 26116])).
% 7.29/5.50 tff(26128,plain,
% 7.29/5.50 ((~(v182(constB151) <=> v180(constB150))) | (~v182(constB151)) | v180(constB150)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26129,plain,
% 7.29/5.50 (~v182(constB151)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26128, 26127, 26114])).
% 7.29/5.50 tff(26130,plain,
% 7.29/5.50 ((~(v159(constB151) <=> v182(constB151))) | (~v159(constB151)) | v182(constB151)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26131,plain,
% 7.29/5.50 (~v159(constB151)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26130, 26129, 26110])).
% 7.29/5.50 tff(26132,plain,
% 7.29/5.50 (((~v159(constB151)) | (~v194(constB151))) | v159(constB151)),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26133,plain,
% 7.29/5.50 ((~v159(constB151)) | (~v194(constB151))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26132, 26131])).
% 7.29/5.50 tff(26134,plain,
% 7.29/5.50 ((~(v196(constB151) <=> (~((~v159(constB151)) | (~v194(constB151)))))) | (~v196(constB151)) | (~((~v159(constB151)) | (~v194(constB151))))),
% 7.29/5.50 inference(tautology,[status(thm)],[])).
% 7.29/5.50 tff(26135,plain,
% 7.29/5.50 (~v196(constB151)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26134, 26133, 26108])).
% 7.29/5.50 tff(26136,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB151) <=> (~((~v157(constB151)) | (~v194(constB151)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB151) <=> (~((~v157(constB151)) | (~v194(constB151))))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26137,plain,
% 7.29/5.50 ((v193(constB151) <=> (~((~v194(constB151)) | (~v157(constB151))))) <=> (v193(constB151) <=> (~((~v157(constB151)) | (~v194(constB151)))))),
% 7.29/5.50 inference(rewrite,[status(thm)],[])).
% 7.29/5.50 tff(26138,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB151) <=> (~((~v194(constB151)) | (~v157(constB151)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB151) <=> (~((~v157(constB151)) | (~v194(constB151))))))),
% 7.29/5.50 inference(monotonicity,[status(thm)],[26137])).
% 7.29/5.50 tff(26139,plain,
% 7.29/5.50 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB151) <=> (~((~v194(constB151)) | (~v157(constB151)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB151) <=> (~((~v157(constB151)) | (~v194(constB151))))))),
% 7.29/5.50 inference(transitivity,[status(thm)],[26138, 26136])).
% 7.29/5.50 tff(26140,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB151) <=> (~((~v194(constB151)) | (~v157(constB151)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26141,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB151) <=> (~((~v157(constB151)) | (~v194(constB151)))))),
% 7.29/5.50 inference(modus_ponens,[status(thm)],[26140, 26139])).
% 7.29/5.50 tff(26142,plain,
% 7.29/5.50 (v193(constB151) <=> (~((~v157(constB151)) | (~v194(constB151))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26141, 15442])).
% 7.29/5.50 tff(26143,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB151)) <=> v195(constB151))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26144,plain,
% 7.29/5.50 ((~v194(constB151)) <=> v195(constB151)),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26143, 15527])).
% 7.29/5.50 tff(26145,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB151) <=> (v185(constB151) | v26(constB151)))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26146,plain,
% 7.29/5.50 (v195(constB151) <=> (v185(constB151) | v26(constB151))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26145, 15536])).
% 7.29/5.50 tff(26147,plain,
% 7.29/5.50 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB151) <=> (~((~v39(constB151)) | (~v9(constB151)))))),
% 7.29/5.50 inference(quant_inst,[status(thm)],[])).
% 7.29/5.50 tff(26148,plain,
% 7.29/5.50 (v185(constB151) <=> (~((~v39(constB151)) | (~v9(constB151))))),
% 7.29/5.50 inference(unit_resolution,[status(thm)],[26147, 93])).
% 7.29/5.50 tff(26149,plain,
% 7.29/5.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151)))),
% 7.29/5.51 inference(rewrite,[status(thm)],[])).
% 7.29/5.51 tff(26150,plain,
% 7.29/5.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151)))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26151,plain,
% 7.29/5.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26150, 26149])).
% 7.29/5.51 tff(26152,plain,
% 7.29/5.51 (v13(constB152) <=> v9(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26151, 17852, 15550])).
% 7.29/5.51 tff(26153,plain,
% 7.29/5.51 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB152) <=> v13(constB152))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26154,plain,
% 7.29/5.51 (v6(constB152) <=> v13(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26153, 15564])).
% 7.29/5.51 tff(26155,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB152)) <=> v6(constB152))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26156,plain,
% 7.29/5.51 ((~v21(constB152)) <=> v6(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26155, 15573])).
% 7.29/5.51 tff(26157,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB152) <=> (v20(constB152) | v21(constB152)))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26158,plain,
% 7.29/5.51 (v19(constB152) <=> (v20(constB152) | v21(constB152))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26157, 15582])).
% 7.29/5.51 tff(26159,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152)))))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26160,plain,
% 7.29/5.51 (v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152))))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26159, 15594])).
% 7.29/5.51 tff(26161,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB152)) <=> v18(constB152))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26162,plain,
% 7.29/5.51 ((~v4(constB152)) <=> v18(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26161, 15603])).
% 7.29/5.51 tff(26163,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB152)),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26164,plain,
% 7.29/5.51 (v4(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26163, 15612])).
% 7.29/5.51 tff(26165,plain,
% 7.29/5.51 ((~((~v4(constB152)) <=> v18(constB152))) | (~v4(constB152)) | (~v18(constB152))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26166,plain,
% 7.29/5.51 (~v18(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26165, 26164, 26162])).
% 7.29/5.51 tff(26167,plain,
% 7.29/5.51 ((~(v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152)))))) | v18(constB152) | ((~v19(constB152)) | (~v22(constB152)))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26168,plain,
% 7.29/5.51 ((~v19(constB152)) | (~v22(constB152))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26167, 26166, 26160])).
% 7.29/5.51 tff(26169,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB152) <=> (v1(constB152) | v6(constB152)))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26170,plain,
% 7.29/5.51 (v22(constB152) <=> (v1(constB152) | v6(constB152))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26169, 15625])).
% 7.29/5.51 tff(26171,plain,
% 7.29/5.51 ((v1(constB152) | v6(constB152)) | (~v1(constB152))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26172,plain,
% 7.29/5.51 (v1(constB152) | v6(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26171, 20384])).
% 7.29/5.51 tff(26173,plain,
% 7.29/5.51 ((~(v22(constB152) <=> (v1(constB152) | v6(constB152)))) | v22(constB152) | (~(v1(constB152) | v6(constB152)))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26174,plain,
% 7.29/5.51 ((~(v22(constB152) <=> (v1(constB152) | v6(constB152)))) | v22(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26173, 26172])).
% 7.29/5.51 tff(26175,plain,
% 7.29/5.51 (v22(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26174, 26170])).
% 7.29/5.51 tff(26176,plain,
% 7.29/5.51 ((~((~v19(constB152)) | (~v22(constB152)))) | (~v19(constB152)) | (~v22(constB152))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26177,plain,
% 7.29/5.51 ((~((~v19(constB152)) | (~v22(constB152)))) | (~v19(constB152))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26176, 26175])).
% 7.29/5.51 tff(26178,plain,
% 7.29/5.51 (~v19(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26177, 26168])).
% 7.29/5.51 tff(26179,plain,
% 7.29/5.51 ((~(v19(constB152) <=> (v20(constB152) | v21(constB152)))) | v19(constB152) | (~(v20(constB152) | v21(constB152)))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26180,plain,
% 7.29/5.51 (~(v20(constB152) | v21(constB152))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26179, 26178, 26158])).
% 7.29/5.51 tff(26181,plain,
% 7.29/5.51 ((v20(constB152) | v21(constB152)) | (~v21(constB152))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26182,plain,
% 7.29/5.51 (~v21(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26181, 26180])).
% 7.29/5.51 tff(26183,plain,
% 7.29/5.51 ((~((~v21(constB152)) <=> v6(constB152))) | v21(constB152) | v6(constB152)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26184,plain,
% 7.29/5.51 (v6(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26183, 26182, 26156])).
% 7.29/5.51 tff(26185,plain,
% 7.29/5.51 ((~(v6(constB152) <=> v13(constB152))) | (~v6(constB152)) | v13(constB152)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26186,plain,
% 7.29/5.51 (v13(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26185, 26184, 26154])).
% 7.29/5.51 tff(26187,plain,
% 7.29/5.51 ((~(v13(constB152) <=> v9(constB151))) | (~v13(constB152)) | v9(constB151)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26188,plain,
% 7.29/5.51 (v9(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26187, 26186, 26152])).
% 7.29/5.51 tff(26189,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB151)) <=> v1(constB151))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26190,plain,
% 7.29/5.51 ((~v39(constB151)) <=> v1(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26189, 102])).
% 7.29/5.51 tff(26191,plain,
% 7.29/5.51 ((~((~v39(constB151)) <=> v1(constB151))) | v39(constB151) | v1(constB151)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26192,plain,
% 7.29/5.51 ((~((~v39(constB151)) <=> v1(constB151))) | v39(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26191, 17896])).
% 7.29/5.51 tff(26193,plain,
% 7.29/5.51 (v39(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26192, 26190])).
% 7.29/5.51 tff(26194,plain,
% 7.29/5.51 ((~((~v39(constB151)) | (~v9(constB151)))) | (~v39(constB151)) | (~v9(constB151))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26195,plain,
% 7.29/5.51 ((~((~v39(constB151)) | (~v9(constB151)))) | (~v9(constB151))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26194, 26193])).
% 7.29/5.51 tff(26196,plain,
% 7.29/5.51 (~((~v39(constB151)) | (~v9(constB151)))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26195, 26188])).
% 7.29/5.51 tff(26197,plain,
% 7.29/5.51 ((~(v185(constB151) <=> (~((~v39(constB151)) | (~v9(constB151)))))) | v185(constB151) | ((~v39(constB151)) | (~v9(constB151)))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26198,plain,
% 7.29/5.51 (v185(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26197, 26196, 26148])).
% 7.29/5.51 tff(26199,plain,
% 7.29/5.51 ((v185(constB151) | v26(constB151)) | (~v185(constB151))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26200,plain,
% 7.29/5.51 (v185(constB151) | v26(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26199, 26198])).
% 7.29/5.51 tff(26201,plain,
% 7.29/5.51 ((~(v195(constB151) <=> (v185(constB151) | v26(constB151)))) | v195(constB151) | (~(v185(constB151) | v26(constB151)))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26202,plain,
% 7.29/5.51 (v195(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26201, 26200, 26146])).
% 7.29/5.51 tff(26203,plain,
% 7.29/5.51 ((~((~v194(constB151)) <=> v195(constB151))) | (~v194(constB151)) | (~v195(constB151))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26204,plain,
% 7.29/5.51 (~v194(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26203, 26202, 26144])).
% 7.29/5.51 tff(26205,plain,
% 7.29/5.51 (((~v157(constB151)) | (~v194(constB151))) | v194(constB151)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26206,plain,
% 7.29/5.51 ((~v157(constB151)) | (~v194(constB151))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26205, 26204])).
% 7.29/5.51 tff(26207,plain,
% 7.29/5.51 ((~(v193(constB151) <=> (~((~v157(constB151)) | (~v194(constB151)))))) | (~v193(constB151)) | (~((~v157(constB151)) | (~v194(constB151))))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26208,plain,
% 7.29/5.51 (~v193(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26207, 26206, 26142])).
% 7.29/5.51 tff(26209,plain,
% 7.29/5.51 ((~(v193(constB151) | v196(constB151))) | v193(constB151) | v196(constB151)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26210,plain,
% 7.29/5.51 (~(v193(constB151) | v196(constB151))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26209, 26208, 26135])).
% 7.29/5.51 tff(26211,plain,
% 7.29/5.51 ((~(v190(constB151) <=> (v193(constB151) | v196(constB151)))) | (~v190(constB151)) | (v193(constB151) | v196(constB151))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26212,plain,
% 7.29/5.51 (~v190(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26211, 26210, 26101])).
% 7.29/5.51 tff(26213,plain,
% 7.29/5.51 ((~(v192(constB152) <=> v190(constB151))) | (~v192(constB152)) | v190(constB151)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26214,plain,
% 7.29/5.51 (~v192(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26213, 26212, 26099])).
% 7.29/5.51 tff(26215,plain,
% 7.29/5.51 ((~(v157(constB152) <=> v192(constB152))) | (~v157(constB152)) | v192(constB152)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26216,plain,
% 7.29/5.51 (~v157(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26215, 26214, 26095])).
% 7.29/5.51 tff(26217,plain,
% 7.29/5.51 (((~v157(constB152)) | (~v194(constB152))) | v157(constB152)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26218,plain,
% 7.29/5.51 ((~v157(constB152)) | (~v194(constB152))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26217, 26216])).
% 7.29/5.51 tff(26219,plain,
% 7.29/5.51 ((~(v193(constB152) <=> (~((~v157(constB152)) | (~v194(constB152)))))) | (~v193(constB152)) | (~((~v157(constB152)) | (~v194(constB152))))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26220,plain,
% 7.29/5.51 (~v193(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26219, 26218, 26093])).
% 7.29/5.51 tff(26221,plain,
% 7.29/5.51 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB152) <=> (~((~v159(constB152)) | (~v194(constB152)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB152) <=> (~((~v159(constB152)) | (~v194(constB152))))))),
% 7.29/5.51 inference(rewrite,[status(thm)],[])).
% 7.29/5.51 tff(26222,plain,
% 7.29/5.51 ((v196(constB152) <=> (~((~v194(constB152)) | (~v159(constB152))))) <=> (v196(constB152) <=> (~((~v159(constB152)) | (~v194(constB152)))))),
% 7.29/5.51 inference(rewrite,[status(thm)],[])).
% 7.29/5.51 tff(26223,plain,
% 7.29/5.51 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB152) <=> (~((~v194(constB152)) | (~v159(constB152)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB152) <=> (~((~v159(constB152)) | (~v194(constB152))))))),
% 7.29/5.51 inference(monotonicity,[status(thm)],[26222])).
% 7.29/5.51 tff(26224,plain,
% 7.29/5.51 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB152) <=> (~((~v194(constB152)) | (~v159(constB152)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB152) <=> (~((~v159(constB152)) | (~v194(constB152))))))),
% 7.29/5.51 inference(transitivity,[status(thm)],[26223, 26221])).
% 7.29/5.51 tff(26225,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB152) <=> (~((~v194(constB152)) | (~v159(constB152)))))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26226,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB152) <=> (~((~v159(constB152)) | (~v194(constB152)))))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26225, 26224])).
% 7.29/5.51 tff(26227,plain,
% 7.29/5.51 (v196(constB152) <=> (~((~v159(constB152)) | (~v194(constB152))))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26226, 15467])).
% 7.29/5.51 tff(26228,plain,
% 7.29/5.51 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB152) <=> v182(constB152))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26229,plain,
% 7.29/5.51 (v159(constB152) <=> v182(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26228, 15113])).
% 7.29/5.51 tff(26230,plain,
% 7.29/5.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB151, constB152)) | (v182(constB152) <=> v180(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB151, constB152)) | (v182(constB152) <=> v180(constB151)))),
% 7.29/5.51 inference(rewrite,[status(thm)],[])).
% 7.29/5.51 tff(26231,plain,
% 7.29/5.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB151, constB152)) | (v182(constB152) <=> v180(constB151)))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26232,plain,
% 7.29/5.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB151, constB152)) | (v182(constB152) <=> v180(constB151))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26231, 26230])).
% 7.29/5.51 tff(26233,plain,
% 7.29/5.51 (v182(constB152) <=> v180(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26232, 17852, 15125])).
% 7.29/5.51 tff(26234,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB151) <=> (~((~v183(constB151)) | (~v184(constB151)))))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26235,plain,
% 7.29/5.51 (v180(constB151) <=> (~((~v183(constB151)) | (~v184(constB151))))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26234, 15139])).
% 7.29/5.51 tff(26236,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB151) <=> (~((~v185(constB151)) | (~v161(constB151)))))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26237,plain,
% 7.29/5.51 (v184(constB151) <=> (~((~v185(constB151)) | (~v161(constB151))))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26236, 15151])).
% 7.29/5.51 tff(26238,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB151) <=> v163(constB151))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26239,plain,
% 7.29/5.51 (v161(constB151) <=> v163(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26238, 15701])).
% 7.29/5.51 tff(26240,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB151) <=> (v145(constB151) | v167(constB151)))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26241,plain,
% 7.29/5.51 (v166(constB151) <=> (v145(constB151) | v167(constB151))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26240, 15713])).
% 7.29/5.51 tff(26242,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB151) <=> (v142(constB151) | v168(constB151)))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26243,plain,
% 7.29/5.51 (v167(constB151) <=> (v142(constB151) | v168(constB151))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26242, 15725])).
% 7.29/5.51 tff(26244,plain,
% 7.29/5.51 (^[VarCurr: state_type] : refl((v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))) <=> (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))))),
% 7.29/5.51 inference(bind,[status(th)],[])).
% 7.29/5.51 tff(26245,plain,
% 7.29/5.51 (![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))) <=> ![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 7.29/5.51 inference(quant_intro,[status(thm)],[26244])).
% 7.29/5.51 tff(26246,plain,
% 7.29/5.51 (![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))) <=> ![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 7.29/5.51 inference(rewrite,[status(thm)],[])).
% 7.29/5.51 tff(26247,plain,
% 7.29/5.51 (^[VarCurr: state_type] : rewrite((v168(VarCurr) <=> (v169(VarCurr) | v141(VarCurr))) <=> (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))))),
% 7.29/5.51 inference(bind,[status(th)],[])).
% 7.29/5.51 tff(26248,plain,
% 7.29/5.51 (![VarCurr: state_type] : (v168(VarCurr) <=> (v169(VarCurr) | v141(VarCurr))) <=> ![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 7.29/5.51 inference(quant_intro,[status(thm)],[26247])).
% 7.29/5.51 tff(26249,axiom,(![VarCurr: state_type] : (v168(VarCurr) <=> (v169(VarCurr) | v141(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37')).
% 7.29/5.51 tff(26250,plain,
% 7.29/5.51 (![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26249, 26248])).
% 7.29/5.51 tff(26251,plain,
% 7.29/5.51 (![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26250, 26246])).
% 7.29/5.51 tff(26252,plain,(
% 7.29/5.51 ![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 7.29/5.51 inference(skolemize,[status(sab)],[26251])).
% 7.29/5.51 tff(26253,plain,
% 7.29/5.51 (![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26252, 26245])).
% 7.29/5.51 tff(26254,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB151) <=> (v141(constB151) | v169(constB151)))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26255,plain,
% 7.29/5.51 (v168(constB151) <=> (v141(constB151) | v169(constB151))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26254, 26253])).
% 7.29/5.51 tff(26256,plain,
% 7.29/5.51 (^[VarCurr: state_type] : refl((v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))))) <=> (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))))))),
% 7.29/5.51 inference(bind,[status(th)],[])).
% 7.29/5.51 tff(26257,plain,
% 7.29/5.51 (![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))))) <=> ![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))),
% 7.29/5.51 inference(quant_intro,[status(thm)],[26256])).
% 7.29/5.51 tff(26258,plain,
% 7.29/5.51 (^[VarCurr: state_type] : rewrite((v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0))) <=> (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))))))),
% 7.29/5.51 inference(bind,[status(th)],[])).
% 7.29/5.51 tff(26259,plain,
% 7.29/5.51 (![VarCurr: state_type] : (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0))) <=> ![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))),
% 7.29/5.51 inference(quant_intro,[status(thm)],[26258])).
% 7.29/5.51 tff(26260,plain,
% 7.29/5.51 (![VarCurr: state_type] : (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0))) <=> ![VarCurr: state_type] : (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0)))),
% 7.29/5.51 inference(rewrite,[status(thm)],[])).
% 7.29/5.51 tff(26261,plain,
% 7.29/5.51 (^[VarCurr: state_type] : rewrite((v141(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $true)) & (v88(VarCurr, 0) <=> $true))) <=> (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0))))),
% 7.29/5.51 inference(bind,[status(th)],[])).
% 7.29/5.51 tff(26262,plain,
% 7.29/5.51 (![VarCurr: state_type] : (v141(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $true)) & (v88(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0)))),
% 7.29/5.51 inference(quant_intro,[status(thm)],[26261])).
% 7.29/5.51 tff(26263,axiom,(![VarCurr: state_type] : (v141(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $true)) & (v88(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11')).
% 7.29/5.51 tff(26264,plain,
% 7.29/5.51 (![VarCurr: state_type] : (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0)))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26263, 26262])).
% 7.29/5.51 tff(26265,plain,
% 7.29/5.51 (![VarCurr: state_type] : (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0)))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26264, 26260])).
% 7.29/5.51 tff(26266,plain,(
% 7.29/5.51 ![VarCurr: state_type] : (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0)))),
% 7.29/5.51 inference(skolemize,[status(sab)],[26265])).
% 7.29/5.51 tff(26267,plain,
% 7.29/5.51 (![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26266, 26259])).
% 7.29/5.51 tff(26268,plain,
% 7.29/5.51 (![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26267, 26257])).
% 7.29/5.51 tff(26269,plain,
% 7.29/5.51 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB151) <=> (~((~v88(constB151, 1)) | v88(constB151, 2) | (~v88(constB151, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB151) <=> (~((~v88(constB151, 1)) | v88(constB151, 2) | (~v88(constB151, 0))))))),
% 7.29/5.51 inference(rewrite,[status(thm)],[])).
% 7.29/5.51 tff(26270,plain,
% 7.29/5.51 ((v141(constB151) <=> (~(v88(constB151, 2) | (~v88(constB151, 1)) | (~v88(constB151, 0))))) <=> (v141(constB151) <=> (~((~v88(constB151, 1)) | v88(constB151, 2) | (~v88(constB151, 0)))))),
% 7.29/5.51 inference(rewrite,[status(thm)],[])).
% 7.29/5.51 tff(26271,plain,
% 7.29/5.51 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB151) <=> (~(v88(constB151, 2) | (~v88(constB151, 1)) | (~v88(constB151, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB151) <=> (~((~v88(constB151, 1)) | v88(constB151, 2) | (~v88(constB151, 0))))))),
% 7.29/5.51 inference(monotonicity,[status(thm)],[26270])).
% 7.29/5.51 tff(26272,plain,
% 7.29/5.51 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB151) <=> (~(v88(constB151, 2) | (~v88(constB151, 1)) | (~v88(constB151, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB151) <=> (~((~v88(constB151, 1)) | v88(constB151, 2) | (~v88(constB151, 0))))))),
% 7.29/5.51 inference(transitivity,[status(thm)],[26271, 26269])).
% 7.29/5.51 tff(26273,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB151) <=> (~(v88(constB151, 2) | (~v88(constB151, 1)) | (~v88(constB151, 0)))))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26274,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB151) <=> (~((~v88(constB151, 1)) | v88(constB151, 2) | (~v88(constB151, 0)))))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26273, 26272])).
% 7.29/5.51 tff(26275,plain,
% 7.29/5.51 (v141(constB151) <=> (~((~v88(constB151, 1)) | v88(constB151, 2) | (~v88(constB151, 0))))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26274, 26268])).
% 7.29/5.51 tff(26276,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB151, 1)) <=> v90(constB151, 1)) | ((~v88(constB151, 2)) <=> v90(constB151, 2)) | ((~v88(constB151, 0)) <=> v90(constB151, 0))))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26277,plain,
% 7.29/5.51 (~(((~v88(constB151, 1)) <=> v90(constB151, 1)) | ((~v88(constB151, 2)) <=> v90(constB151, 2)) | ((~v88(constB151, 0)) <=> v90(constB151, 0)))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26276, 256])).
% 7.29/5.51 tff(26278,plain,
% 7.29/5.51 ((((~v88(constB151, 1)) <=> v90(constB151, 1)) | ((~v88(constB151, 2)) <=> v90(constB151, 2)) | ((~v88(constB151, 0)) <=> v90(constB151, 0))) | (~((~v88(constB151, 2)) <=> v90(constB151, 2)))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26279,plain,
% 7.29/5.51 (~((~v88(constB151, 2)) <=> v90(constB151, 2))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26278, 26277])).
% 7.29/5.51 tff(26280,plain,
% 7.29/5.51 (((~v88(constB151, 2)) <=> v90(constB151, 2)) | (~v88(constB151, 2)) | v90(constB151, 2)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26281,plain,
% 7.29/5.51 (~v88(constB151, 2)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26280, 20303, 26279])).
% 7.29/5.51 tff(26282,plain,
% 7.29/5.51 ((((~v88(constB151, 1)) <=> v90(constB151, 1)) | ((~v88(constB151, 2)) <=> v90(constB151, 2)) | ((~v88(constB151, 0)) <=> v90(constB151, 0))) | (~((~v88(constB151, 0)) <=> v90(constB151, 0)))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26283,plain,
% 7.29/5.51 (~((~v88(constB151, 0)) <=> v90(constB151, 0))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26282, 26277])).
% 7.29/5.51 tff(26284,plain,
% 7.29/5.51 (((~v88(constB151, 0)) <=> v90(constB151, 0)) | v88(constB151, 0) | (~v90(constB151, 0))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26285,plain,
% 7.29/5.51 (v88(constB151, 0)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26284, 20321, 26283])).
% 7.29/5.51 tff(26286,plain,
% 7.29/5.51 ((((~v88(constB151, 1)) <=> v90(constB151, 1)) | ((~v88(constB151, 2)) <=> v90(constB151, 2)) | ((~v88(constB151, 0)) <=> v90(constB151, 0))) | (~((~v88(constB151, 1)) <=> v90(constB151, 1)))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26287,plain,
% 7.29/5.51 (~((~v88(constB151, 1)) <=> v90(constB151, 1))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26286, 26277])).
% 7.29/5.51 tff(26288,plain,
% 7.29/5.51 (((~v88(constB151, 1)) <=> v90(constB151, 1)) | v88(constB151, 1) | (~v90(constB151, 1))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26289,plain,
% 7.29/5.51 (v88(constB151, 1)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26288, 20339, 26287])).
% 7.29/5.51 tff(26290,plain,
% 7.29/5.51 ((~((~v88(constB151, 1)) | v88(constB151, 2) | (~v88(constB151, 0)))) | (~v88(constB151, 1)) | v88(constB151, 2) | (~v88(constB151, 0))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26291,plain,
% 7.29/5.51 (~((~v88(constB151, 1)) | v88(constB151, 2) | (~v88(constB151, 0)))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26290, 26289, 26285, 26281])).
% 7.29/5.51 tff(26292,plain,
% 7.29/5.51 ((~(v141(constB151) <=> (~((~v88(constB151, 1)) | v88(constB151, 2) | (~v88(constB151, 0)))))) | v141(constB151) | ((~v88(constB151, 1)) | v88(constB151, 2) | (~v88(constB151, 0)))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26293,plain,
% 7.29/5.51 (v141(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26292, 26291, 26275])).
% 7.29/5.51 tff(26294,plain,
% 7.29/5.51 ((v141(constB151) | v169(constB151)) | (~v141(constB151))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26295,plain,
% 7.29/5.51 (v141(constB151) | v169(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26294, 26293])).
% 7.29/5.51 tff(26296,plain,
% 7.29/5.51 ((~(v168(constB151) <=> (v141(constB151) | v169(constB151)))) | v168(constB151) | (~(v141(constB151) | v169(constB151)))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26297,plain,
% 7.29/5.51 (v168(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26296, 26295, 26255])).
% 7.29/5.51 tff(26298,plain,
% 7.29/5.51 ((v142(constB151) | v168(constB151)) | (~v168(constB151))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26299,plain,
% 7.29/5.51 (v142(constB151) | v168(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26298, 26297])).
% 7.29/5.51 tff(26300,plain,
% 7.29/5.51 ((~(v167(constB151) <=> (v142(constB151) | v168(constB151)))) | v167(constB151) | (~(v142(constB151) | v168(constB151)))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26301,plain,
% 7.29/5.51 ((~(v167(constB151) <=> (v142(constB151) | v168(constB151)))) | v167(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26300, 26299])).
% 7.29/5.51 tff(26302,plain,
% 7.29/5.51 (v167(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26301, 26243])).
% 7.29/5.51 tff(26303,plain,
% 7.29/5.51 ((v145(constB151) | v167(constB151)) | (~v167(constB151))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26304,plain,
% 7.29/5.51 (v145(constB151) | v167(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26303, 26302])).
% 7.29/5.51 tff(26305,plain,
% 7.29/5.51 ((~(v166(constB151) <=> (v145(constB151) | v167(constB151)))) | v166(constB151) | (~(v145(constB151) | v167(constB151)))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26306,plain,
% 7.29/5.51 (v166(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26305, 26304, 26241])).
% 7.29/5.51 tff(26307,plain,
% 7.29/5.51 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB151)) | (v163(constB151) <=> v170(constB151)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB151)) | (v163(constB151) <=> v170(constB151)))),
% 7.29/5.51 inference(rewrite,[status(thm)],[])).
% 7.29/5.51 tff(26308,plain,
% 7.29/5.51 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB151)) | (v163(constB151) <=> v170(constB151)))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26309,plain,
% 7.29/5.51 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB151)) | (v163(constB151) <=> v170(constB151))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26308, 26307])).
% 7.29/5.51 tff(26310,plain,
% 7.29/5.51 ((~v166(constB151)) | (v163(constB151) <=> v170(constB151))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26309, 15777])).
% 7.29/5.51 tff(26311,plain,
% 7.29/5.51 (v163(constB151) <=> v170(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26310, 26306])).
% 7.29/5.51 tff(26312,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB151) <=> (~(v88(constB151, 0) | v88(constB151, 1) | v88(constB151, 2))))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26313,plain,
% 7.29/5.51 (v139(constB151) <=> (~(v88(constB151, 0) | v88(constB151, 1) | v88(constB151, 2)))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26312, 15795])).
% 7.29/5.51 tff(26314,plain,
% 7.29/5.51 ((v88(constB151, 0) | v88(constB151, 1) | v88(constB151, 2)) | (~v88(constB151, 0))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26315,plain,
% 7.29/5.51 (v88(constB151, 0) | v88(constB151, 1) | v88(constB151, 2)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26314, 26285])).
% 7.29/5.51 tff(26316,plain,
% 7.29/5.51 ((~(v139(constB151) <=> (~(v88(constB151, 0) | v88(constB151, 1) | v88(constB151, 2))))) | (~v139(constB151)) | (~(v88(constB151, 0) | v88(constB151, 1) | v88(constB151, 2)))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26317,plain,
% 7.29/5.51 (~v139(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26316, 26315, 26313])).
% 7.29/5.51 tff(26318,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB151) <=> (~(v88(constB151, 1) | v88(constB151, 2) | (~v88(constB151, 0)))))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26319,plain,
% 7.29/5.51 (v140(constB151) <=> (~(v88(constB151, 1) | v88(constB151, 2) | (~v88(constB151, 0))))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26318, 15814])).
% 7.29/5.51 tff(26320,plain,
% 7.29/5.51 ((v88(constB151, 1) | v88(constB151, 2) | (~v88(constB151, 0))) | (~v88(constB151, 1))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26321,plain,
% 7.29/5.51 (v88(constB151, 1) | v88(constB151, 2) | (~v88(constB151, 0))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26320, 26289])).
% 7.29/5.51 tff(26322,plain,
% 7.29/5.51 ((~(v140(constB151) <=> (~(v88(constB151, 1) | v88(constB151, 2) | (~v88(constB151, 0)))))) | (~v140(constB151)) | (~(v88(constB151, 1) | v88(constB151, 2) | (~v88(constB151, 0))))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26323,plain,
% 7.29/5.51 (~v140(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26322, 26321, 26319])).
% 7.29/5.51 tff(26324,plain,
% 7.29/5.51 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB151) | v139(constB151) | (~v170(constB151)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB151) | v139(constB151) | (~v170(constB151)))),
% 7.29/5.51 inference(rewrite,[status(thm)],[])).
% 7.29/5.51 tff(26325,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB151) | v139(constB151) | (~v170(constB151)))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26326,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB151) | v139(constB151) | (~v170(constB151))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26325, 26324])).
% 7.29/5.51 tff(26327,plain,
% 7.29/5.51 (v140(constB151) | v139(constB151) | (~v170(constB151))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26326, 15833])).
% 7.29/5.51 tff(26328,plain,
% 7.29/5.51 (~v170(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26327, 26323, 26317])).
% 7.29/5.51 tff(26329,plain,
% 7.29/5.51 ((~(v163(constB151) <=> v170(constB151))) | (~v163(constB151)) | v170(constB151)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26330,plain,
% 7.29/5.51 ((~(v163(constB151) <=> v170(constB151))) | (~v163(constB151))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26329, 26328])).
% 7.29/5.51 tff(26331,plain,
% 7.29/5.51 (~v163(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26330, 26311])).
% 7.29/5.51 tff(26332,plain,
% 7.29/5.51 ((~(v161(constB151) <=> v163(constB151))) | (~v161(constB151)) | v163(constB151)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26333,plain,
% 7.29/5.51 ((~(v161(constB151) <=> v163(constB151))) | (~v161(constB151))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26332, 26331])).
% 7.29/5.51 tff(26334,plain,
% 7.29/5.51 (~v161(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26333, 26239])).
% 7.29/5.51 tff(26335,plain,
% 7.29/5.51 (((~v185(constB151)) | (~v161(constB151))) | v161(constB151)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26336,plain,
% 7.29/5.51 ((~v185(constB151)) | (~v161(constB151))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26335, 26334])).
% 7.29/5.51 tff(26337,plain,
% 7.29/5.51 ((~(v184(constB151) <=> (~((~v185(constB151)) | (~v161(constB151)))))) | (~v184(constB151)) | (~((~v185(constB151)) | (~v161(constB151))))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26338,plain,
% 7.29/5.51 (~v184(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26337, 26336, 26237])).
% 7.29/5.51 tff(26339,plain,
% 7.29/5.51 (((~v183(constB151)) | (~v184(constB151))) | v184(constB151)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26340,plain,
% 7.29/5.51 ((~v183(constB151)) | (~v184(constB151))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26339, 26338])).
% 7.29/5.51 tff(26341,plain,
% 7.29/5.51 ((~(v180(constB151) <=> (~((~v183(constB151)) | (~v184(constB151)))))) | (~v180(constB151)) | (~((~v183(constB151)) | (~v184(constB151))))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26342,plain,
% 7.29/5.51 (~v180(constB151)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26341, 26340, 26235])).
% 7.29/5.51 tff(26343,plain,
% 7.29/5.51 ((~(v182(constB152) <=> v180(constB151))) | (~v182(constB152)) | v180(constB151)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26344,plain,
% 7.29/5.51 (~v182(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26343, 26342, 26233])).
% 7.29/5.51 tff(26345,plain,
% 7.29/5.51 ((~(v159(constB152) <=> v182(constB152))) | (~v159(constB152)) | v182(constB152)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26346,plain,
% 7.29/5.51 (~v159(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26345, 26344, 26229])).
% 7.29/5.51 tff(26347,plain,
% 7.29/5.51 (((~v159(constB152)) | (~v194(constB152))) | v159(constB152)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26348,plain,
% 7.29/5.51 ((~v159(constB152)) | (~v194(constB152))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26347, 26346])).
% 7.29/5.51 tff(26349,plain,
% 7.29/5.51 ((~(v196(constB152) <=> (~((~v159(constB152)) | (~v194(constB152)))))) | (~v196(constB152)) | (~((~v159(constB152)) | (~v194(constB152))))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26350,plain,
% 7.29/5.51 (~v196(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26349, 26348, 26227])).
% 7.29/5.51 tff(26351,plain,
% 7.29/5.51 ((~(v193(constB152) | v196(constB152))) | v193(constB152) | v196(constB152)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26352,plain,
% 7.29/5.51 (~(v193(constB152) | v196(constB152))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26351, 26350, 26220])).
% 7.29/5.51 tff(26353,plain,
% 7.29/5.51 ((~(v190(constB152) <=> (v193(constB152) | v196(constB152)))) | (~v190(constB152)) | (v193(constB152) | v196(constB152))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26354,plain,
% 7.29/5.51 (~v190(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26353, 26352, 26086])).
% 7.29/5.51 tff(26355,plain,
% 7.29/5.51 ((~(v192(constB153) <=> v190(constB152))) | (~v192(constB153)) | v190(constB152)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26356,plain,
% 7.29/5.51 (~v192(constB153)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26355, 26354, 26084])).
% 7.29/5.51 tff(26357,plain,
% 7.29/5.51 ((~(v157(constB153) <=> v192(constB153))) | (~v157(constB153)) | v192(constB153)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26358,plain,
% 7.29/5.51 (~v157(constB153)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26357, 26356, 26080])).
% 7.29/5.51 tff(26359,plain,
% 7.29/5.51 (((~v157(constB153)) | (~v202(constB153))) | v157(constB153)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26360,plain,
% 7.29/5.51 ((~v157(constB153)) | (~v202(constB153))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26359, 26358])).
% 7.29/5.51 tff(26361,plain,
% 7.29/5.51 ((~(v201(constB153) <=> (~((~v157(constB153)) | (~v202(constB153)))))) | (~v201(constB153)) | (~((~v157(constB153)) | (~v202(constB153))))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26362,plain,
% 7.29/5.51 (~v201(constB153)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26361, 26360, 26078])).
% 7.29/5.51 tff(26363,plain,
% 7.29/5.51 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB153) <=> (~((~v159(constB153)) | (~v202(constB153)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB153) <=> (~((~v159(constB153)) | (~v202(constB153))))))),
% 7.29/5.51 inference(rewrite,[status(thm)],[])).
% 7.29/5.51 tff(26364,plain,
% 7.29/5.51 ((v205(constB153) <=> (~((~v202(constB153)) | (~v159(constB153))))) <=> (v205(constB153) <=> (~((~v159(constB153)) | (~v202(constB153)))))),
% 7.29/5.51 inference(rewrite,[status(thm)],[])).
% 7.29/5.51 tff(26365,plain,
% 7.29/5.51 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB153) <=> (~((~v202(constB153)) | (~v159(constB153)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB153) <=> (~((~v159(constB153)) | (~v202(constB153))))))),
% 7.29/5.51 inference(monotonicity,[status(thm)],[26364])).
% 7.29/5.51 tff(26366,plain,
% 7.29/5.51 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB153) <=> (~((~v202(constB153)) | (~v159(constB153)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB153) <=> (~((~v159(constB153)) | (~v202(constB153))))))),
% 7.29/5.51 inference(transitivity,[status(thm)],[26365, 26363])).
% 7.29/5.51 tff(26367,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB153) <=> (~((~v202(constB153)) | (~v159(constB153)))))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26368,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB153) <=> (~((~v159(constB153)) | (~v202(constB153)))))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26367, 26366])).
% 7.29/5.51 tff(26369,plain,
% 7.29/5.51 (v205(constB153) <=> (~((~v159(constB153)) | (~v202(constB153))))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26368, 138])).
% 7.29/5.51 tff(26370,plain,
% 7.29/5.51 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB153) <=> v182(constB153))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26371,plain,
% 7.29/5.51 (v159(constB153) <=> v182(constB153)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26370, 15113])).
% 7.29/5.51 tff(26372,plain,
% 7.29/5.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB152, constB153)) | (v182(constB153) <=> v180(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB152, constB153)) | (v182(constB153) <=> v180(constB152)))),
% 7.29/5.51 inference(rewrite,[status(thm)],[])).
% 7.29/5.51 tff(26373,plain,
% 7.29/5.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB152, constB153)) | (v182(constB153) <=> v180(constB152)))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26374,plain,
% 7.29/5.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB152, constB153)) | (v182(constB153) <=> v180(constB152))),
% 7.29/5.51 inference(modus_ponens,[status(thm)],[26373, 26372])).
% 7.29/5.51 tff(26375,plain,
% 7.29/5.51 (v182(constB153) <=> v180(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26374, 17816, 15125])).
% 7.29/5.51 tff(26376,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB152) <=> (~((~v183(constB152)) | (~v184(constB152)))))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26377,plain,
% 7.29/5.51 (v180(constB152) <=> (~((~v183(constB152)) | (~v184(constB152))))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26376, 15139])).
% 7.29/5.51 tff(26378,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB152) <=> (~((~v185(constB152)) | (~v161(constB152)))))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26379,plain,
% 7.29/5.51 (v184(constB152) <=> (~((~v185(constB152)) | (~v161(constB152))))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26378, 15151])).
% 7.29/5.51 tff(26380,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26381,plain,
% 7.29/5.51 (v185(constB152) <=> (~((~v39(constB152)) | (~v9(constB152))))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26380, 93])).
% 7.29/5.51 tff(26382,plain,
% 7.29/5.51 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB152)) <=> v1(constB152))),
% 7.29/5.51 inference(quant_inst,[status(thm)],[])).
% 7.29/5.51 tff(26383,plain,
% 7.29/5.51 ((~v39(constB152)) <=> v1(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26382, 102])).
% 7.29/5.51 tff(26384,plain,
% 7.29/5.51 ((~((~v39(constB152)) <=> v1(constB152))) | (~v39(constB152)) | (~v1(constB152))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26385,plain,
% 7.29/5.51 ((~((~v39(constB152)) <=> v1(constB152))) | (~v39(constB152))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26384, 20384])).
% 7.29/5.51 tff(26386,plain,
% 7.29/5.51 (~v39(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26385, 26383])).
% 7.29/5.51 tff(26387,plain,
% 7.29/5.51 (((~v39(constB152)) | (~v9(constB152))) | v39(constB152)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26388,plain,
% 7.29/5.51 ((~v39(constB152)) | (~v9(constB152))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26387, 26386])).
% 7.29/5.51 tff(26389,plain,
% 7.29/5.51 ((~(v185(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))) | (~v185(constB152)) | (~((~v39(constB152)) | (~v9(constB152))))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26390,plain,
% 7.29/5.51 ((~(v185(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))) | (~v185(constB152))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26389, 26388])).
% 7.29/5.51 tff(26391,plain,
% 7.29/5.51 (~v185(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26390, 26381])).
% 7.29/5.51 tff(26392,plain,
% 7.29/5.51 (((~v185(constB152)) | (~v161(constB152))) | v185(constB152)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26393,plain,
% 7.29/5.51 ((~v185(constB152)) | (~v161(constB152))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26392, 26391])).
% 7.29/5.51 tff(26394,plain,
% 7.29/5.51 ((~(v184(constB152) <=> (~((~v185(constB152)) | (~v161(constB152)))))) | (~v184(constB152)) | (~((~v185(constB152)) | (~v161(constB152))))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26395,plain,
% 7.29/5.51 ((~(v184(constB152) <=> (~((~v185(constB152)) | (~v161(constB152)))))) | (~v184(constB152))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26394, 26393])).
% 7.29/5.51 tff(26396,plain,
% 7.29/5.51 (~v184(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26395, 26379])).
% 7.29/5.51 tff(26397,plain,
% 7.29/5.51 (((~v183(constB152)) | (~v184(constB152))) | v184(constB152)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26398,plain,
% 7.29/5.51 ((~v183(constB152)) | (~v184(constB152))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26397, 26396])).
% 7.29/5.51 tff(26399,plain,
% 7.29/5.51 ((~(v180(constB152) <=> (~((~v183(constB152)) | (~v184(constB152)))))) | (~v180(constB152)) | (~((~v183(constB152)) | (~v184(constB152))))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26400,plain,
% 7.29/5.51 (~v180(constB152)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26399, 26398, 26377])).
% 7.29/5.51 tff(26401,plain,
% 7.29/5.51 ((~(v182(constB153) <=> v180(constB152))) | (~v182(constB153)) | v180(constB152)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26402,plain,
% 7.29/5.51 (~v182(constB153)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26401, 26400, 26375])).
% 7.29/5.51 tff(26403,plain,
% 7.29/5.51 ((~(v159(constB153) <=> v182(constB153))) | (~v159(constB153)) | v182(constB153)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26404,plain,
% 7.29/5.51 (~v159(constB153)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26403, 26402, 26371])).
% 7.29/5.51 tff(26405,plain,
% 7.29/5.51 (((~v159(constB153)) | (~v202(constB153))) | v159(constB153)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26406,plain,
% 7.29/5.51 ((~v159(constB153)) | (~v202(constB153))),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26405, 26404])).
% 7.29/5.51 tff(26407,plain,
% 7.29/5.51 ((~(v205(constB153) <=> (~((~v159(constB153)) | (~v202(constB153)))))) | (~v205(constB153)) | (~((~v159(constB153)) | (~v202(constB153))))),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.51 tff(26408,plain,
% 7.29/5.51 (~v205(constB153)),
% 7.29/5.51 inference(unit_resolution,[status(thm)],[26407, 26406, 26369])).
% 7.29/5.51 tff(26409,plain,
% 7.29/5.51 ((~(v201(constB153) | v205(constB153))) | v201(constB153) | v205(constB153)),
% 7.29/5.51 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26410,plain,
% 7.29/5.52 ((~(v201(constB153) | v205(constB153))) | v201(constB153)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26409, 26408])).
% 7.29/5.52 tff(26411,plain,
% 7.29/5.52 (~(v201(constB153) | v205(constB153))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26410, 26362])).
% 7.29/5.52 tff(26412,plain,
% 7.29/5.52 ((~(v200(constB153) <=> (v201(constB153) | v205(constB153)))) | (~v200(constB153)) | (v201(constB153) | v205(constB153))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26413,plain,
% 7.29/5.52 (~v200(constB153)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26412, 26411, 26071])).
% 7.29/5.52 tff(26414,plain,
% 7.29/5.52 ($false),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26413, 26069])).
% 7.29/5.52 tff(26415,plain,(~(constB153 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.29/5.52 tff(26416,assumption,(constB104 = VarCurr!0), introduced(assumption)).
% 7.29/5.52 tff(26417,plain,
% 7.29/5.52 (v200(constB104) <=> v200(VarCurr!0)),
% 7.29/5.52 inference(monotonicity,[status(thm)],[26416])).
% 7.29/5.52 tff(26418,plain,
% 7.29/5.52 (v200(VarCurr!0) <=> v200(constB104)),
% 7.29/5.52 inference(symmetry,[status(thm)],[26417])).
% 7.29/5.52 tff(26419,plain,
% 7.29/5.52 (v200(constB104)),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[27, 26418])).
% 7.29/5.52 tff(26420,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB104) <=> (v201(constB104) | v205(constB104)))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26421,plain,
% 7.29/5.52 (v200(constB104) <=> (v201(constB104) | v205(constB104))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26420, 35])).
% 7.29/5.52 tff(26422,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB104) <=> (~((~v157(constB104)) | (~v202(constB104)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB104) <=> (~((~v157(constB104)) | (~v202(constB104))))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26423,plain,
% 7.29/5.52 ((v201(constB104) <=> (~((~v202(constB104)) | (~v157(constB104))))) <=> (v201(constB104) <=> (~((~v157(constB104)) | (~v202(constB104)))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26424,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB104) <=> (~((~v202(constB104)) | (~v157(constB104)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB104) <=> (~((~v157(constB104)) | (~v202(constB104))))))),
% 7.29/5.52 inference(monotonicity,[status(thm)],[26423])).
% 7.29/5.52 tff(26425,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB104) <=> (~((~v202(constB104)) | (~v157(constB104)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB104) <=> (~((~v157(constB104)) | (~v202(constB104))))))),
% 7.29/5.52 inference(transitivity,[status(thm)],[26424, 26422])).
% 7.29/5.52 tff(26426,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB104) <=> (~((~v202(constB104)) | (~v157(constB104)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26427,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB104) <=> (~((~v157(constB104)) | (~v202(constB104)))))),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[26426, 26425])).
% 7.29/5.52 tff(26428,plain,
% 7.29/5.52 (v201(constB104) <=> (~((~v157(constB104)) | (~v202(constB104))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26427, 47])).
% 7.29/5.52 tff(26429,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB104) <=> (~((~v183(constB104)) | (~v203(constB104)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26430,plain,
% 7.29/5.52 (v202(constB104) <=> (~((~v183(constB104)) | (~v203(constB104))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26429, 64])).
% 7.29/5.52 tff(26431,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB104) <=> (~((~v185(constB104)) | (~v204(constB104)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB104) <=> (~((~v185(constB104)) | (~v204(constB104))))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26432,plain,
% 7.29/5.52 ((v203(constB104) <=> (~((~v204(constB104)) | (~v185(constB104))))) <=> (v203(constB104) <=> (~((~v185(constB104)) | (~v204(constB104)))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26433,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB104) <=> (~((~v204(constB104)) | (~v185(constB104)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB104) <=> (~((~v185(constB104)) | (~v204(constB104))))))),
% 7.29/5.52 inference(monotonicity,[status(thm)],[26432])).
% 7.29/5.52 tff(26434,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB104) <=> (~((~v204(constB104)) | (~v185(constB104)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB104) <=> (~((~v185(constB104)) | (~v204(constB104))))))),
% 7.29/5.52 inference(transitivity,[status(thm)],[26433, 26431])).
% 7.29/5.52 tff(26435,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB104) <=> (~((~v204(constB104)) | (~v185(constB104)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26436,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB104) <=> (~((~v185(constB104)) | (~v204(constB104)))))),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[26435, 26434])).
% 7.29/5.52 tff(26437,plain,
% 7.29/5.52 (v203(constB104) <=> (~((~v185(constB104)) | (~v204(constB104))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26436, 76])).
% 7.29/5.52 tff(26438,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB104) <=> (~((~v39(constB104)) | (~v9(constB104)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26439,plain,
% 7.29/5.52 (v185(constB104) <=> (~((~v39(constB104)) | (~v9(constB104))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26438, 93])).
% 7.29/5.52 tff(26440,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB104)) <=> v1(constB104))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26441,plain,
% 7.29/5.52 ((~v39(constB104)) <=> v1(constB104)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26440, 102])).
% 7.29/5.52 tff(26442,plain,
% 7.29/5.52 ((~((~v39(constB104)) <=> v1(constB104))) | (~v39(constB104)) | (~v1(constB104))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26443,plain,
% 7.29/5.52 ((~((~v39(constB104)) <=> v1(constB104))) | (~v39(constB104))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26442, 12972])).
% 7.29/5.52 tff(26444,plain,
% 7.29/5.52 (~v39(constB104)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26443, 26441])).
% 7.29/5.52 tff(26445,plain,
% 7.29/5.52 (((~v39(constB104)) | (~v9(constB104))) | v39(constB104)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26446,plain,
% 7.29/5.52 ((~v39(constB104)) | (~v9(constB104))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26445, 26444])).
% 7.29/5.52 tff(26447,plain,
% 7.29/5.52 ((~(v185(constB104) <=> (~((~v39(constB104)) | (~v9(constB104)))))) | (~v185(constB104)) | (~((~v39(constB104)) | (~v9(constB104))))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26448,plain,
% 7.29/5.52 ((~(v185(constB104) <=> (~((~v39(constB104)) | (~v9(constB104)))))) | (~v185(constB104))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26447, 26446])).
% 7.29/5.52 tff(26449,plain,
% 7.29/5.52 (~v185(constB104)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26448, 26439])).
% 7.29/5.52 tff(26450,plain,
% 7.29/5.52 (((~v185(constB104)) | (~v204(constB104))) | v185(constB104)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26451,plain,
% 7.29/5.52 ((~v185(constB104)) | (~v204(constB104))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26450, 26449])).
% 7.29/5.52 tff(26452,plain,
% 7.29/5.52 ((~(v203(constB104) <=> (~((~v185(constB104)) | (~v204(constB104)))))) | (~v203(constB104)) | (~((~v185(constB104)) | (~v204(constB104))))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26453,plain,
% 7.29/5.52 ((~(v203(constB104) <=> (~((~v185(constB104)) | (~v204(constB104)))))) | (~v203(constB104))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26452, 26451])).
% 7.29/5.52 tff(26454,plain,
% 7.29/5.52 (~v203(constB104)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26453, 26437])).
% 7.29/5.52 tff(26455,plain,
% 7.29/5.52 (((~v183(constB104)) | (~v203(constB104))) | v203(constB104)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26456,plain,
% 7.29/5.52 ((~v183(constB104)) | (~v203(constB104))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26455, 26454])).
% 7.29/5.52 tff(26457,plain,
% 7.29/5.52 ((~(v202(constB104) <=> (~((~v183(constB104)) | (~v203(constB104)))))) | (~v202(constB104)) | (~((~v183(constB104)) | (~v203(constB104))))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26458,plain,
% 7.29/5.52 (~v202(constB104)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26457, 26456, 26430])).
% 7.29/5.52 tff(26459,plain,
% 7.29/5.52 (((~v157(constB104)) | (~v202(constB104))) | v202(constB104)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26460,plain,
% 7.29/5.52 ((~v157(constB104)) | (~v202(constB104))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26459, 26458])).
% 7.29/5.52 tff(26461,plain,
% 7.29/5.52 ((~(v201(constB104) <=> (~((~v157(constB104)) | (~v202(constB104)))))) | (~v201(constB104)) | (~((~v157(constB104)) | (~v202(constB104))))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26462,plain,
% 7.29/5.52 (~v201(constB104)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26461, 26460, 26428])).
% 7.29/5.52 tff(26463,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB104) <=> (~((~v159(constB104)) | (~v202(constB104)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB104) <=> (~((~v159(constB104)) | (~v202(constB104))))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26464,plain,
% 7.29/5.52 ((v205(constB104) <=> (~((~v202(constB104)) | (~v159(constB104))))) <=> (v205(constB104) <=> (~((~v159(constB104)) | (~v202(constB104)))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26465,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB104) <=> (~((~v202(constB104)) | (~v159(constB104)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB104) <=> (~((~v159(constB104)) | (~v202(constB104))))))),
% 7.29/5.52 inference(monotonicity,[status(thm)],[26464])).
% 7.29/5.52 tff(26466,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB104) <=> (~((~v202(constB104)) | (~v159(constB104)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB104) <=> (~((~v159(constB104)) | (~v202(constB104))))))),
% 7.29/5.52 inference(transitivity,[status(thm)],[26465, 26463])).
% 7.29/5.52 tff(26467,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB104) <=> (~((~v202(constB104)) | (~v159(constB104)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26468,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB104) <=> (~((~v159(constB104)) | (~v202(constB104)))))),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[26467, 26466])).
% 7.29/5.52 tff(26469,plain,
% 7.29/5.52 (v205(constB104) <=> (~((~v159(constB104)) | (~v202(constB104))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26468, 138])).
% 7.29/5.52 tff(26470,plain,
% 7.29/5.52 (((~v159(constB104)) | (~v202(constB104))) | v202(constB104)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26471,plain,
% 7.29/5.52 ((~v159(constB104)) | (~v202(constB104))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26470, 26458])).
% 7.29/5.52 tff(26472,plain,
% 7.29/5.52 ((~(v205(constB104) <=> (~((~v159(constB104)) | (~v202(constB104)))))) | (~v205(constB104)) | (~((~v159(constB104)) | (~v202(constB104))))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26473,plain,
% 7.29/5.52 (~v205(constB104)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26472, 26471, 26469])).
% 7.29/5.52 tff(26474,plain,
% 7.29/5.52 ((~(v201(constB104) | v205(constB104))) | v201(constB104) | v205(constB104)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26475,plain,
% 7.29/5.52 (~(v201(constB104) | v205(constB104))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26474, 26473, 26462])).
% 7.29/5.52 tff(26476,plain,
% 7.29/5.52 ((~(v200(constB104) <=> (v201(constB104) | v205(constB104)))) | (~v200(constB104)) | (v201(constB104) | v205(constB104))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26477,plain,
% 7.29/5.52 ((~(v200(constB104) <=> (v201(constB104) | v205(constB104)))) | (~v200(constB104))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26476, 26475])).
% 7.29/5.52 tff(26478,plain,
% 7.29/5.52 (~v200(constB104)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26477, 26421])).
% 7.29/5.52 tff(26479,plain,
% 7.29/5.52 ($false),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26478, 26419])).
% 7.29/5.52 tff(26480,plain,(~(constB104 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.29/5.52 tff(26481,assumption,(constB145 = VarCurr!0), introduced(assumption)).
% 7.29/5.52 tff(26482,plain,
% 7.29/5.52 (v200(constB145) <=> v200(VarCurr!0)),
% 7.29/5.52 inference(monotonicity,[status(thm)],[26481])).
% 7.29/5.52 tff(26483,plain,
% 7.29/5.52 (v200(VarCurr!0) <=> v200(constB145)),
% 7.29/5.52 inference(symmetry,[status(thm)],[26482])).
% 7.29/5.52 tff(26484,plain,
% 7.29/5.52 (v200(constB145)),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[27, 26483])).
% 7.29/5.52 tff(26485,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB145) <=> (v201(constB145) | v205(constB145)))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26486,plain,
% 7.29/5.52 (v200(constB145) <=> (v201(constB145) | v205(constB145))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26485, 35])).
% 7.29/5.52 tff(26487,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB145) <=> (~((~v157(constB145)) | (~v202(constB145)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB145) <=> (~((~v157(constB145)) | (~v202(constB145))))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26488,plain,
% 7.29/5.52 ((v201(constB145) <=> (~((~v202(constB145)) | (~v157(constB145))))) <=> (v201(constB145) <=> (~((~v157(constB145)) | (~v202(constB145)))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26489,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB145) <=> (~((~v202(constB145)) | (~v157(constB145)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB145) <=> (~((~v157(constB145)) | (~v202(constB145))))))),
% 7.29/5.52 inference(monotonicity,[status(thm)],[26488])).
% 7.29/5.52 tff(26490,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB145) <=> (~((~v202(constB145)) | (~v157(constB145)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB145) <=> (~((~v157(constB145)) | (~v202(constB145))))))),
% 7.29/5.52 inference(transitivity,[status(thm)],[26489, 26487])).
% 7.29/5.52 tff(26491,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB145) <=> (~((~v202(constB145)) | (~v157(constB145)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26492,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB145) <=> (~((~v157(constB145)) | (~v202(constB145)))))),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[26491, 26490])).
% 7.29/5.52 tff(26493,plain,
% 7.29/5.52 (v201(constB145) <=> (~((~v157(constB145)) | (~v202(constB145))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26492, 47])).
% 7.29/5.52 tff(26494,plain,
% 7.29/5.52 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB145) <=> v192(constB145))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26495,plain,
% 7.29/5.52 (v157(constB145) <=> v192(constB145)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26494, 15407])).
% 7.29/5.52 tff(26496,plain,
% 7.29/5.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB144, constB145)) | (v192(constB145) <=> v190(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB144, constB145)) | (v192(constB145) <=> v190(constB144)))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26497,plain,
% 7.29/5.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB144, constB145)) | (v192(constB145) <=> v190(constB144)))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26498,plain,
% 7.29/5.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB144, constB145)) | (v192(constB145) <=> v190(constB144))),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[26497, 26496])).
% 7.29/5.52 tff(26499,plain,
% 7.29/5.52 (v192(constB145) <=> v190(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26498, 18070, 15419])).
% 7.29/5.52 tff(26500,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB144) <=> (v193(constB144) | v196(constB144)))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26501,plain,
% 7.29/5.52 (v190(constB144) <=> (v193(constB144) | v196(constB144))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26500, 15430])).
% 7.29/5.52 tff(26502,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB144) <=> (~((~v157(constB144)) | (~v194(constB144)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB144) <=> (~((~v157(constB144)) | (~v194(constB144))))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26503,plain,
% 7.29/5.52 ((v193(constB144) <=> (~((~v194(constB144)) | (~v157(constB144))))) <=> (v193(constB144) <=> (~((~v157(constB144)) | (~v194(constB144)))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26504,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB144) <=> (~((~v194(constB144)) | (~v157(constB144)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB144) <=> (~((~v157(constB144)) | (~v194(constB144))))))),
% 7.29/5.52 inference(monotonicity,[status(thm)],[26503])).
% 7.29/5.52 tff(26505,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB144) <=> (~((~v194(constB144)) | (~v157(constB144)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB144) <=> (~((~v157(constB144)) | (~v194(constB144))))))),
% 7.29/5.52 inference(transitivity,[status(thm)],[26504, 26502])).
% 7.29/5.52 tff(26506,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB144) <=> (~((~v194(constB144)) | (~v157(constB144)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26507,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB144) <=> (~((~v157(constB144)) | (~v194(constB144)))))),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[26506, 26505])).
% 7.29/5.52 tff(26508,plain,
% 7.29/5.52 (v193(constB144) <=> (~((~v157(constB144)) | (~v194(constB144))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26507, 15442])).
% 7.29/5.52 tff(26509,plain,
% 7.29/5.52 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB144) <=> v192(constB144))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26510,plain,
% 7.29/5.52 (v157(constB144) <=> v192(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26509, 15407])).
% 7.29/5.52 tff(26511,plain,
% 7.29/5.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB143, constB144)) | (v192(constB144) <=> v190(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB143, constB144)) | (v192(constB144) <=> v190(constB143)))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26512,plain,
% 7.29/5.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB143, constB144)) | (v192(constB144) <=> v190(constB143)))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26513,plain,
% 7.29/5.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB143, constB144)) | (v192(constB144) <=> v190(constB143))),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[26512, 26511])).
% 7.29/5.52 tff(26514,plain,
% 7.29/5.52 (v192(constB144) <=> v190(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26513, 18106, 15419])).
% 7.29/5.52 tff(26515,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB143) <=> (v193(constB143) | v196(constB143)))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26516,plain,
% 7.29/5.52 (v190(constB143) <=> (v193(constB143) | v196(constB143))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26515, 15430])).
% 7.29/5.52 tff(26517,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB143) <=> (~((~v159(constB143)) | (~v194(constB143)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB143) <=> (~((~v159(constB143)) | (~v194(constB143))))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26518,plain,
% 7.29/5.52 ((v196(constB143) <=> (~((~v194(constB143)) | (~v159(constB143))))) <=> (v196(constB143) <=> (~((~v159(constB143)) | (~v194(constB143)))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26519,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB143) <=> (~((~v194(constB143)) | (~v159(constB143)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB143) <=> (~((~v159(constB143)) | (~v194(constB143))))))),
% 7.29/5.52 inference(monotonicity,[status(thm)],[26518])).
% 7.29/5.52 tff(26520,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB143) <=> (~((~v194(constB143)) | (~v159(constB143)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB143) <=> (~((~v159(constB143)) | (~v194(constB143))))))),
% 7.29/5.52 inference(transitivity,[status(thm)],[26519, 26517])).
% 7.29/5.52 tff(26521,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB143) <=> (~((~v194(constB143)) | (~v159(constB143)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26522,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB143) <=> (~((~v159(constB143)) | (~v194(constB143)))))),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[26521, 26520])).
% 7.29/5.52 tff(26523,plain,
% 7.29/5.52 (v196(constB143) <=> (~((~v159(constB143)) | (~v194(constB143))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26522, 15467])).
% 7.29/5.52 tff(26524,plain,
% 7.29/5.52 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB143) <=> v182(constB143))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26525,plain,
% 7.29/5.52 (v159(constB143) <=> v182(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26524, 15113])).
% 7.29/5.52 tff(26526,plain,
% 7.29/5.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB142, constB143)) | (v182(constB143) <=> v180(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB142, constB143)) | (v182(constB143) <=> v180(constB142)))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26527,plain,
% 7.29/5.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB142, constB143)) | (v182(constB143) <=> v180(constB142)))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26528,plain,
% 7.29/5.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB142, constB143)) | (v182(constB143) <=> v180(constB142))),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[26527, 26526])).
% 7.29/5.52 tff(26529,plain,
% 7.29/5.52 (v182(constB143) <=> v180(constB142)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26528, 18136, 15125])).
% 7.29/5.52 tff(26530,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB142) <=> (~((~v183(constB142)) | (~v184(constB142)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26531,plain,
% 7.29/5.52 (v180(constB142) <=> (~((~v183(constB142)) | (~v184(constB142))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26530, 15139])).
% 7.29/5.52 tff(26532,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB142) <=> (~((~v185(constB142)) | (~v161(constB142)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26533,plain,
% 7.29/5.52 (v184(constB142) <=> (~((~v185(constB142)) | (~v161(constB142))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26532, 15151])).
% 7.29/5.52 tff(26534,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26535,plain,
% 7.29/5.52 (v185(constB142) <=> (~((~v39(constB142)) | (~v9(constB142))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26534, 93])).
% 7.29/5.52 tff(26536,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB142)) <=> v1(constB142))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26537,plain,
% 7.29/5.52 ((~v39(constB142)) <=> v1(constB142)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26536, 102])).
% 7.29/5.52 tff(26538,plain,
% 7.29/5.52 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142)) | (~v1(constB142))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26539,plain,
% 7.29/5.52 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26538, 19583])).
% 7.29/5.52 tff(26540,plain,
% 7.29/5.52 (~v39(constB142)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26539, 26537])).
% 7.29/5.52 tff(26541,plain,
% 7.29/5.52 (((~v39(constB142)) | (~v9(constB142))) | v39(constB142)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26542,plain,
% 7.29/5.52 ((~v39(constB142)) | (~v9(constB142))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26541, 26540])).
% 7.29/5.52 tff(26543,plain,
% 7.29/5.52 ((~(v185(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v185(constB142)) | (~((~v39(constB142)) | (~v9(constB142))))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26544,plain,
% 7.29/5.52 ((~(v185(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v185(constB142))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26543, 26542])).
% 7.29/5.52 tff(26545,plain,
% 7.29/5.52 (~v185(constB142)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26544, 26535])).
% 7.29/5.52 tff(26546,plain,
% 7.29/5.52 (((~v185(constB142)) | (~v161(constB142))) | v185(constB142)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26547,plain,
% 7.29/5.52 ((~v185(constB142)) | (~v161(constB142))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26546, 26545])).
% 7.29/5.52 tff(26548,plain,
% 7.29/5.52 ((~(v184(constB142) <=> (~((~v185(constB142)) | (~v161(constB142)))))) | (~v184(constB142)) | (~((~v185(constB142)) | (~v161(constB142))))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26549,plain,
% 7.29/5.52 ((~(v184(constB142) <=> (~((~v185(constB142)) | (~v161(constB142)))))) | (~v184(constB142))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26548, 26547])).
% 7.29/5.52 tff(26550,plain,
% 7.29/5.52 (~v184(constB142)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26549, 26533])).
% 7.29/5.52 tff(26551,plain,
% 7.29/5.52 (((~v183(constB142)) | (~v184(constB142))) | v184(constB142)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26552,plain,
% 7.29/5.52 ((~v183(constB142)) | (~v184(constB142))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26551, 26550])).
% 7.29/5.52 tff(26553,plain,
% 7.29/5.52 ((~(v180(constB142) <=> (~((~v183(constB142)) | (~v184(constB142)))))) | (~v180(constB142)) | (~((~v183(constB142)) | (~v184(constB142))))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26554,plain,
% 7.29/5.52 (~v180(constB142)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26553, 26552, 26531])).
% 7.29/5.52 tff(26555,plain,
% 7.29/5.52 ((~(v182(constB143) <=> v180(constB142))) | (~v182(constB143)) | v180(constB142)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26556,plain,
% 7.29/5.52 (~v182(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26555, 26554, 26529])).
% 7.29/5.52 tff(26557,plain,
% 7.29/5.52 ((~(v159(constB143) <=> v182(constB143))) | (~v159(constB143)) | v182(constB143)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26558,plain,
% 7.29/5.52 (~v159(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26557, 26556, 26525])).
% 7.29/5.52 tff(26559,plain,
% 7.29/5.52 (((~v159(constB143)) | (~v194(constB143))) | v159(constB143)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26560,plain,
% 7.29/5.52 ((~v159(constB143)) | (~v194(constB143))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26559, 26558])).
% 7.29/5.52 tff(26561,plain,
% 7.29/5.52 ((~(v196(constB143) <=> (~((~v159(constB143)) | (~v194(constB143)))))) | (~v196(constB143)) | (~((~v159(constB143)) | (~v194(constB143))))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26562,plain,
% 7.29/5.52 (~v196(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26561, 26560, 26523])).
% 7.29/5.52 tff(26563,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB143) <=> (~((~v157(constB143)) | (~v194(constB143)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB143) <=> (~((~v157(constB143)) | (~v194(constB143))))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26564,plain,
% 7.29/5.52 ((v193(constB143) <=> (~((~v194(constB143)) | (~v157(constB143))))) <=> (v193(constB143) <=> (~((~v157(constB143)) | (~v194(constB143)))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26565,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB143) <=> (~((~v194(constB143)) | (~v157(constB143)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB143) <=> (~((~v157(constB143)) | (~v194(constB143))))))),
% 7.29/5.52 inference(monotonicity,[status(thm)],[26564])).
% 7.29/5.52 tff(26566,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB143) <=> (~((~v194(constB143)) | (~v157(constB143)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB143) <=> (~((~v157(constB143)) | (~v194(constB143))))))),
% 7.29/5.52 inference(transitivity,[status(thm)],[26565, 26563])).
% 7.29/5.52 tff(26567,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB143) <=> (~((~v194(constB143)) | (~v157(constB143)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26568,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB143) <=> (~((~v157(constB143)) | (~v194(constB143)))))),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[26567, 26566])).
% 7.29/5.52 tff(26569,plain,
% 7.29/5.52 (v193(constB143) <=> (~((~v157(constB143)) | (~v194(constB143))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26568, 15442])).
% 7.29/5.52 tff(26570,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB143)) <=> v195(constB143))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26571,plain,
% 7.29/5.52 ((~v194(constB143)) <=> v195(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26570, 15527])).
% 7.29/5.52 tff(26572,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB143) <=> (v185(constB143) | v26(constB143)))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26573,plain,
% 7.29/5.52 (v195(constB143) <=> (v185(constB143) | v26(constB143))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26572, 15536])).
% 7.29/5.52 tff(26574,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB143) <=> (~((~v39(constB143)) | (~v9(constB143)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26575,plain,
% 7.29/5.52 (v185(constB143) <=> (~((~v39(constB143)) | (~v9(constB143))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26574, 93])).
% 7.29/5.52 tff(26576,plain,
% 7.29/5.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB143, constB144)) | (v13(constB144) <=> v9(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB143, constB144)) | (v13(constB144) <=> v9(constB143)))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26577,plain,
% 7.29/5.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB143, constB144)) | (v13(constB144) <=> v9(constB143)))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26578,plain,
% 7.29/5.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB143, constB144)) | (v13(constB144) <=> v9(constB143))),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[26577, 26576])).
% 7.29/5.52 tff(26579,plain,
% 7.29/5.52 (v13(constB144) <=> v9(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26578, 18106, 15550])).
% 7.29/5.52 tff(26580,plain,
% 7.29/5.52 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB144) <=> v13(constB144))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26581,plain,
% 7.29/5.52 (v6(constB144) <=> v13(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26580, 15564])).
% 7.29/5.52 tff(26582,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB144)) <=> v6(constB144))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26583,plain,
% 7.29/5.52 ((~v21(constB144)) <=> v6(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26582, 15573])).
% 7.29/5.52 tff(26584,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB144) <=> (v20(constB144) | v21(constB144)))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26585,plain,
% 7.29/5.52 (v19(constB144) <=> (v20(constB144) | v21(constB144))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26584, 15582])).
% 7.29/5.52 tff(26586,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB144) <=> (~((~v19(constB144)) | (~v22(constB144)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26587,plain,
% 7.29/5.52 (v18(constB144) <=> (~((~v19(constB144)) | (~v22(constB144))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26586, 15594])).
% 7.29/5.52 tff(26588,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB144)) <=> v18(constB144))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26589,plain,
% 7.29/5.52 ((~v4(constB144)) <=> v18(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26588, 15603])).
% 7.29/5.52 tff(26590,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB144)),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26591,plain,
% 7.29/5.52 (v4(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26590, 15612])).
% 7.29/5.52 tff(26592,plain,
% 7.29/5.52 ((~((~v4(constB144)) <=> v18(constB144))) | (~v4(constB144)) | (~v18(constB144))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26593,plain,
% 7.29/5.52 (~v18(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26592, 26591, 26589])).
% 7.29/5.52 tff(26594,plain,
% 7.29/5.52 ((~(v18(constB144) <=> (~((~v19(constB144)) | (~v22(constB144)))))) | v18(constB144) | ((~v19(constB144)) | (~v22(constB144)))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26595,plain,
% 7.29/5.52 ((~v19(constB144)) | (~v22(constB144))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26594, 26593, 26587])).
% 7.29/5.52 tff(26596,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB144) <=> (v1(constB144) | v6(constB144)))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26597,plain,
% 7.29/5.52 (v22(constB144) <=> (v1(constB144) | v6(constB144))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26596, 15625])).
% 7.29/5.52 tff(26598,plain,
% 7.29/5.52 ((v1(constB144) | v6(constB144)) | (~v1(constB144))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26599,plain,
% 7.29/5.52 (v1(constB144) | v6(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26598, 19732])).
% 7.29/5.52 tff(26600,plain,
% 7.29/5.52 ((~(v22(constB144) <=> (v1(constB144) | v6(constB144)))) | v22(constB144) | (~(v1(constB144) | v6(constB144)))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26601,plain,
% 7.29/5.52 ((~(v22(constB144) <=> (v1(constB144) | v6(constB144)))) | v22(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26600, 26599])).
% 7.29/5.52 tff(26602,plain,
% 7.29/5.52 (v22(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26601, 26597])).
% 7.29/5.52 tff(26603,plain,
% 7.29/5.52 ((~((~v19(constB144)) | (~v22(constB144)))) | (~v19(constB144)) | (~v22(constB144))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26604,plain,
% 7.29/5.52 ((~((~v19(constB144)) | (~v22(constB144)))) | (~v19(constB144))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26603, 26602])).
% 7.29/5.52 tff(26605,plain,
% 7.29/5.52 (~v19(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26604, 26595])).
% 7.29/5.52 tff(26606,plain,
% 7.29/5.52 ((~(v19(constB144) <=> (v20(constB144) | v21(constB144)))) | v19(constB144) | (~(v20(constB144) | v21(constB144)))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26607,plain,
% 7.29/5.52 (~(v20(constB144) | v21(constB144))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26606, 26605, 26585])).
% 7.29/5.52 tff(26608,plain,
% 7.29/5.52 ((v20(constB144) | v21(constB144)) | (~v21(constB144))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26609,plain,
% 7.29/5.52 (~v21(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26608, 26607])).
% 7.29/5.52 tff(26610,plain,
% 7.29/5.52 ((~((~v21(constB144)) <=> v6(constB144))) | v21(constB144) | v6(constB144)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26611,plain,
% 7.29/5.52 (v6(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26610, 26609, 26583])).
% 7.29/5.52 tff(26612,plain,
% 7.29/5.52 ((~(v6(constB144) <=> v13(constB144))) | (~v6(constB144)) | v13(constB144)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26613,plain,
% 7.29/5.52 (v13(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26612, 26611, 26581])).
% 7.29/5.52 tff(26614,plain,
% 7.29/5.52 ((~(v13(constB144) <=> v9(constB143))) | (~v13(constB144)) | v9(constB143)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26615,plain,
% 7.29/5.52 (v9(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26614, 26613, 26579])).
% 7.29/5.52 tff(26616,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB143)) <=> v1(constB143))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26617,plain,
% 7.29/5.52 ((~v39(constB143)) <=> v1(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26616, 102])).
% 7.29/5.52 tff(26618,plain,
% 7.29/5.52 ((~((~v39(constB143)) <=> v1(constB143))) | v39(constB143) | v1(constB143)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26619,plain,
% 7.29/5.52 ((~((~v39(constB143)) <=> v1(constB143))) | v39(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26618, 18150])).
% 7.29/5.52 tff(26620,plain,
% 7.29/5.52 (v39(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26619, 26617])).
% 7.29/5.52 tff(26621,plain,
% 7.29/5.52 ((~((~v39(constB143)) | (~v9(constB143)))) | (~v39(constB143)) | (~v9(constB143))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26622,plain,
% 7.29/5.52 ((~((~v39(constB143)) | (~v9(constB143)))) | (~v9(constB143))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26621, 26620])).
% 7.29/5.52 tff(26623,plain,
% 7.29/5.52 (~((~v39(constB143)) | (~v9(constB143)))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26622, 26615])).
% 7.29/5.52 tff(26624,plain,
% 7.29/5.52 ((~(v185(constB143) <=> (~((~v39(constB143)) | (~v9(constB143)))))) | v185(constB143) | ((~v39(constB143)) | (~v9(constB143)))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26625,plain,
% 7.29/5.52 (v185(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26624, 26623, 26575])).
% 7.29/5.52 tff(26626,plain,
% 7.29/5.52 ((v185(constB143) | v26(constB143)) | (~v185(constB143))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26627,plain,
% 7.29/5.52 (v185(constB143) | v26(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26626, 26625])).
% 7.29/5.52 tff(26628,plain,
% 7.29/5.52 ((~(v195(constB143) <=> (v185(constB143) | v26(constB143)))) | v195(constB143) | (~(v185(constB143) | v26(constB143)))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26629,plain,
% 7.29/5.52 (v195(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26628, 26627, 26573])).
% 7.29/5.52 tff(26630,plain,
% 7.29/5.52 ((~((~v194(constB143)) <=> v195(constB143))) | (~v194(constB143)) | (~v195(constB143))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26631,plain,
% 7.29/5.52 (~v194(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26630, 26629, 26571])).
% 7.29/5.52 tff(26632,plain,
% 7.29/5.52 (((~v157(constB143)) | (~v194(constB143))) | v194(constB143)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26633,plain,
% 7.29/5.52 ((~v157(constB143)) | (~v194(constB143))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26632, 26631])).
% 7.29/5.52 tff(26634,plain,
% 7.29/5.52 ((~(v193(constB143) <=> (~((~v157(constB143)) | (~v194(constB143)))))) | (~v193(constB143)) | (~((~v157(constB143)) | (~v194(constB143))))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26635,plain,
% 7.29/5.52 (~v193(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26634, 26633, 26569])).
% 7.29/5.52 tff(26636,plain,
% 7.29/5.52 ((~(v193(constB143) | v196(constB143))) | v193(constB143) | v196(constB143)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26637,plain,
% 7.29/5.52 (~(v193(constB143) | v196(constB143))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26636, 26635, 26562])).
% 7.29/5.52 tff(26638,plain,
% 7.29/5.52 ((~(v190(constB143) <=> (v193(constB143) | v196(constB143)))) | (~v190(constB143)) | (v193(constB143) | v196(constB143))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26639,plain,
% 7.29/5.52 (~v190(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26638, 26637, 26516])).
% 7.29/5.52 tff(26640,plain,
% 7.29/5.52 ((~(v192(constB144) <=> v190(constB143))) | (~v192(constB144)) | v190(constB143)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26641,plain,
% 7.29/5.52 (~v192(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26640, 26639, 26514])).
% 7.29/5.52 tff(26642,plain,
% 7.29/5.52 ((~(v157(constB144) <=> v192(constB144))) | (~v157(constB144)) | v192(constB144)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26643,plain,
% 7.29/5.52 (~v157(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26642, 26641, 26510])).
% 7.29/5.52 tff(26644,plain,
% 7.29/5.52 (((~v157(constB144)) | (~v194(constB144))) | v157(constB144)),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26645,plain,
% 7.29/5.52 ((~v157(constB144)) | (~v194(constB144))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26644, 26643])).
% 7.29/5.52 tff(26646,plain,
% 7.29/5.52 ((~(v193(constB144) <=> (~((~v157(constB144)) | (~v194(constB144)))))) | (~v193(constB144)) | (~((~v157(constB144)) | (~v194(constB144))))),
% 7.29/5.52 inference(tautology,[status(thm)],[])).
% 7.29/5.52 tff(26647,plain,
% 7.29/5.52 (~v193(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26646, 26645, 26508])).
% 7.29/5.52 tff(26648,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB144) <=> (~((~v159(constB144)) | (~v194(constB144)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB144) <=> (~((~v159(constB144)) | (~v194(constB144))))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26649,plain,
% 7.29/5.52 ((v196(constB144) <=> (~((~v194(constB144)) | (~v159(constB144))))) <=> (v196(constB144) <=> (~((~v159(constB144)) | (~v194(constB144)))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26650,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB144) <=> (~((~v194(constB144)) | (~v159(constB144)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB144) <=> (~((~v159(constB144)) | (~v194(constB144))))))),
% 7.29/5.52 inference(monotonicity,[status(thm)],[26649])).
% 7.29/5.52 tff(26651,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB144) <=> (~((~v194(constB144)) | (~v159(constB144)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB144) <=> (~((~v159(constB144)) | (~v194(constB144))))))),
% 7.29/5.52 inference(transitivity,[status(thm)],[26650, 26648])).
% 7.29/5.52 tff(26652,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB144) <=> (~((~v194(constB144)) | (~v159(constB144)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26653,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB144) <=> (~((~v159(constB144)) | (~v194(constB144)))))),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[26652, 26651])).
% 7.29/5.52 tff(26654,plain,
% 7.29/5.52 (v196(constB144) <=> (~((~v159(constB144)) | (~v194(constB144))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26653, 15467])).
% 7.29/5.52 tff(26655,plain,
% 7.29/5.52 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB144) <=> v182(constB144))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26656,plain,
% 7.29/5.52 (v159(constB144) <=> v182(constB144)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26655, 15113])).
% 7.29/5.52 tff(26657,plain,
% 7.29/5.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB143, constB144)) | (v182(constB144) <=> v180(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB143, constB144)) | (v182(constB144) <=> v180(constB143)))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26658,plain,
% 7.29/5.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB143, constB144)) | (v182(constB144) <=> v180(constB143)))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26659,plain,
% 7.29/5.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB143, constB144)) | (v182(constB144) <=> v180(constB143))),
% 7.29/5.52 inference(modus_ponens,[status(thm)],[26658, 26657])).
% 7.29/5.52 tff(26660,plain,
% 7.29/5.52 (v182(constB144) <=> v180(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26659, 18106, 15125])).
% 7.29/5.52 tff(26661,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB143) <=> (~((~v183(constB143)) | (~v184(constB143)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26662,plain,
% 7.29/5.52 (v180(constB143) <=> (~((~v183(constB143)) | (~v184(constB143))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26661, 15139])).
% 7.29/5.52 tff(26663,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB143) <=> (~((~v185(constB143)) | (~v161(constB143)))))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26664,plain,
% 7.29/5.52 (v184(constB143) <=> (~((~v185(constB143)) | (~v161(constB143))))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26663, 15151])).
% 7.29/5.52 tff(26665,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB143) <=> v163(constB143))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26666,plain,
% 7.29/5.52 (v161(constB143) <=> v163(constB143)),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26665, 15701])).
% 7.29/5.52 tff(26667,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB143) <=> (v145(constB143) | v167(constB143)))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26668,plain,
% 7.29/5.52 (v166(constB143) <=> (v145(constB143) | v167(constB143))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26667, 15713])).
% 7.29/5.52 tff(26669,plain,
% 7.29/5.52 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB143) <=> (v146(constB143) | v147(constB143)))),
% 7.29/5.52 inference(quant_inst,[status(thm)],[])).
% 7.29/5.52 tff(26670,plain,
% 7.29/5.52 (v145(constB143) <=> (v146(constB143) | v147(constB143))),
% 7.29/5.52 inference(unit_resolution,[status(thm)],[26669, 25196])).
% 7.29/5.52 tff(26671,plain,
% 7.29/5.52 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB143) <=> (~(v88(constB143, 1) | (~v88(constB143, 2)) | v88(constB143, 0))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB143) <=> (~(v88(constB143, 1) | (~v88(constB143, 2)) | v88(constB143, 0)))))),
% 7.29/5.52 inference(rewrite,[status(thm)],[])).
% 7.29/5.52 tff(26672,plain,
% 7.29/5.52 ((v146(constB143) <=> (~(v88(constB143, 0) | v88(constB143, 1) | (~v88(constB143, 2))))) <=> (v146(constB143) <=> (~(v88(constB143, 1) | (~v88(constB143, 2)) | v88(constB143, 0))))),
% 7.29/5.53 inference(rewrite,[status(thm)],[])).
% 7.29/5.53 tff(26673,plain,
% 7.29/5.53 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB143) <=> (~(v88(constB143, 0) | v88(constB143, 1) | (~v88(constB143, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB143) <=> (~(v88(constB143, 1) | (~v88(constB143, 2)) | v88(constB143, 0)))))),
% 7.29/5.53 inference(monotonicity,[status(thm)],[26672])).
% 7.29/5.53 tff(26674,plain,
% 7.29/5.53 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB143) <=> (~(v88(constB143, 0) | v88(constB143, 1) | (~v88(constB143, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB143) <=> (~(v88(constB143, 1) | (~v88(constB143, 2)) | v88(constB143, 0)))))),
% 7.29/5.53 inference(transitivity,[status(thm)],[26673, 26671])).
% 7.29/5.53 tff(26675,plain,
% 7.29/5.53 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB143) <=> (~(v88(constB143, 0) | v88(constB143, 1) | (~v88(constB143, 2)))))),
% 7.29/5.53 inference(quant_inst,[status(thm)],[])).
% 7.29/5.53 tff(26676,plain,
% 7.29/5.53 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB143) <=> (~(v88(constB143, 1) | (~v88(constB143, 2)) | v88(constB143, 0))))),
% 7.29/5.53 inference(modus_ponens,[status(thm)],[26675, 26674])).
% 7.29/5.53 tff(26677,plain,
% 7.29/5.53 (v146(constB143) <=> (~(v88(constB143, 1) | (~v88(constB143, 2)) | v88(constB143, 0)))),
% 7.29/5.53 inference(unit_resolution,[status(thm)],[26676, 25211])).
% 7.29/5.53 tff(26678,plain,
% 7.29/5.53 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB143, 1)) <=> v90(constB143, 1)) | ((~v88(constB143, 2)) <=> v90(constB143, 2)) | ((~v88(constB143, 0)) <=> v90(constB143, 0))))),
% 7.29/5.53 inference(quant_inst,[status(thm)],[])).
% 7.29/5.53 tff(26679,plain,
% 7.29/5.53 (~(((~v88(constB143, 1)) <=> v90(constB143, 1)) | ((~v88(constB143, 2)) <=> v90(constB143, 2)) | ((~v88(constB143, 0)) <=> v90(constB143, 0)))),
% 7.29/5.53 inference(unit_resolution,[status(thm)],[26678, 256])).
% 7.29/5.53 tff(26680,plain,
% 7.29/5.53 ((((~v88(constB143, 1)) <=> v90(constB143, 1)) | ((~v88(constB143, 2)) <=> v90(constB143, 2)) | ((~v88(constB143, 0)) <=> v90(constB143, 0))) | (~((~v88(constB143, 2)) <=> v90(constB143, 2)))),
% 7.29/5.53 inference(tautology,[status(thm)],[])).
% 7.29/5.53 tff(26681,plain,
% 7.29/5.53 (~((~v88(constB143, 2)) <=> v90(constB143, 2))),
% 7.29/5.53 inference(unit_resolution,[status(thm)],[26680, 26679])).
% 7.29/5.53 tff(26682,plain,
% 7.29/5.53 (((~v88(constB143, 2)) <=> v90(constB143, 2)) | v88(constB143, 2) | (~v90(constB143, 2))),
% 7.29/5.53 inference(tautology,[status(thm)],[])).
% 7.29/5.53 tff(26683,plain,
% 7.29/5.53 (v88(constB143, 2)),
% 7.29/5.53 inference(unit_resolution,[status(thm)],[26682, 19654, 26681])).
% 7.29/5.53 tff(26684,plain,
% 7.29/5.53 ((((~v88(constB143, 1)) <=> v90(constB143, 1)) | ((~v88(constB143, 2)) <=> v90(constB143, 2)) | ((~v88(constB143, 0)) <=> v90(constB143, 0))) | (~((~v88(constB143, 0)) <=> v90(constB143, 0)))),
% 7.29/5.53 inference(tautology,[status(thm)],[])).
% 7.29/5.53 tff(26685,plain,
% 7.29/5.53 (~((~v88(constB143, 0)) <=> v90(constB143, 0))),
% 7.29/5.53 inference(unit_resolution,[status(thm)],[26684, 26679])).
% 7.29/5.53 tff(26686,plain,
% 7.29/5.53 (((~v88(constB143, 0)) <=> v90(constB143, 0)) | (~v88(constB143, 0)) | v90(constB143, 0)),
% 7.29/5.53 inference(tautology,[status(thm)],[])).
% 7.29/5.53 tff(26687,plain,
% 7.29/5.53 (~v88(constB143, 0)),
% 7.29/5.53 inference(unit_resolution,[status(thm)],[26686, 19672, 26685])).
% 7.29/5.53 tff(26688,plain,
% 7.29/5.53 ((((~v88(constB143, 1)) <=> v90(constB143, 1)) | ((~v88(constB143, 2)) <=> v90(constB143, 2)) | ((~v88(constB143, 0)) <=> v90(constB143, 0))) | (~((~v88(constB143, 1)) <=> v90(constB143, 1)))),
% 7.29/5.53 inference(tautology,[status(thm)],[])).
% 7.29/5.53 tff(26689,plain,
% 7.29/5.53 (~((~v88(constB143, 1)) <=> v90(constB143, 1))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26688, 26679])).
% 7.34/5.53 tff(26690,plain,
% 7.34/5.53 (((~v88(constB143, 1)) <=> v90(constB143, 1)) | (~v88(constB143, 1)) | v90(constB143, 1)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26691,plain,
% 7.34/5.53 (~v88(constB143, 1)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26690, 19690, 26689])).
% 7.34/5.53 tff(26692,plain,
% 7.34/5.53 ((~(v88(constB143, 1) | (~v88(constB143, 2)) | v88(constB143, 0))) | v88(constB143, 1) | (~v88(constB143, 2)) | v88(constB143, 0)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26693,plain,
% 7.34/5.53 (~(v88(constB143, 1) | (~v88(constB143, 2)) | v88(constB143, 0))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26692, 26691, 26687, 26683])).
% 7.34/5.53 tff(26694,plain,
% 7.34/5.53 ((~(v146(constB143) <=> (~(v88(constB143, 1) | (~v88(constB143, 2)) | v88(constB143, 0))))) | v146(constB143) | (v88(constB143, 1) | (~v88(constB143, 2)) | v88(constB143, 0))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26695,plain,
% 7.34/5.53 (v146(constB143)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26694, 26693, 26677])).
% 7.34/5.53 tff(26696,plain,
% 7.34/5.53 ((v146(constB143) | v147(constB143)) | (~v146(constB143))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26697,plain,
% 7.34/5.53 (v146(constB143) | v147(constB143)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26696, 26695])).
% 7.34/5.53 tff(26698,plain,
% 7.34/5.53 ((~(v145(constB143) <=> (v146(constB143) | v147(constB143)))) | v145(constB143) | (~(v146(constB143) | v147(constB143)))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26699,plain,
% 7.34/5.53 (v145(constB143)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26698, 26697, 26670])).
% 7.34/5.53 tff(26700,plain,
% 7.34/5.53 ((v145(constB143) | v167(constB143)) | (~v145(constB143))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26701,plain,
% 7.34/5.53 (v145(constB143) | v167(constB143)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26700, 26699])).
% 7.34/5.53 tff(26702,plain,
% 7.34/5.53 ((~(v166(constB143) <=> (v145(constB143) | v167(constB143)))) | v166(constB143) | (~(v145(constB143) | v167(constB143)))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26703,plain,
% 7.34/5.53 ((~(v166(constB143) <=> (v145(constB143) | v167(constB143)))) | v166(constB143)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26702, 26701])).
% 7.34/5.53 tff(26704,plain,
% 7.34/5.53 (v166(constB143)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26703, 26668])).
% 7.34/5.53 tff(26705,plain,
% 7.34/5.53 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB143)) | (v163(constB143) <=> v170(constB143)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB143)) | (v163(constB143) <=> v170(constB143)))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26706,plain,
% 7.34/5.53 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB143)) | (v163(constB143) <=> v170(constB143)))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26707,plain,
% 7.34/5.53 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB143)) | (v163(constB143) <=> v170(constB143))),
% 7.34/5.53 inference(modus_ponens,[status(thm)],[26706, 26705])).
% 7.34/5.53 tff(26708,plain,
% 7.34/5.53 ((~v166(constB143)) | (v163(constB143) <=> v170(constB143))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26707, 15777])).
% 7.34/5.53 tff(26709,plain,
% 7.34/5.53 (v163(constB143) <=> v170(constB143)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26708, 26704])).
% 7.34/5.53 tff(26710,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB143) <=> (~(v88(constB143, 1) | v88(constB143, 2) | (~v88(constB143, 0)))))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26711,plain,
% 7.34/5.53 (v140(constB143) <=> (~(v88(constB143, 1) | v88(constB143, 2) | (~v88(constB143, 0))))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26710, 15814])).
% 7.34/5.53 tff(26712,plain,
% 7.34/5.53 ((v88(constB143, 1) | v88(constB143, 2) | (~v88(constB143, 0))) | v88(constB143, 0)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26713,plain,
% 7.34/5.53 (v88(constB143, 1) | v88(constB143, 2) | (~v88(constB143, 0))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26712, 26687])).
% 7.34/5.53 tff(26714,plain,
% 7.34/5.53 ((~(v140(constB143) <=> (~(v88(constB143, 1) | v88(constB143, 2) | (~v88(constB143, 0)))))) | (~v140(constB143)) | (~(v88(constB143, 1) | v88(constB143, 2) | (~v88(constB143, 0))))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26715,plain,
% 7.34/5.53 (~v140(constB143)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26714, 26713, 26711])).
% 7.34/5.53 tff(26716,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB143) <=> (~(v88(constB143, 0) | v88(constB143, 1) | v88(constB143, 2))))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26717,plain,
% 7.34/5.53 (v139(constB143) <=> (~(v88(constB143, 0) | v88(constB143, 1) | v88(constB143, 2)))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26716, 15795])).
% 7.34/5.53 tff(26718,plain,
% 7.34/5.53 ((v88(constB143, 0) | v88(constB143, 1) | v88(constB143, 2)) | (~v88(constB143, 2))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26719,plain,
% 7.34/5.53 (v88(constB143, 0) | v88(constB143, 1) | v88(constB143, 2)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26718, 26683])).
% 7.34/5.53 tff(26720,plain,
% 7.34/5.53 ((~(v139(constB143) <=> (~(v88(constB143, 0) | v88(constB143, 1) | v88(constB143, 2))))) | (~v139(constB143)) | (~(v88(constB143, 0) | v88(constB143, 1) | v88(constB143, 2)))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26721,plain,
% 7.34/5.53 (~v139(constB143)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26720, 26719, 26717])).
% 7.34/5.53 tff(26722,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB143) | v139(constB143) | (~v170(constB143)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB143) | v139(constB143) | (~v170(constB143)))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26723,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB143) | v139(constB143) | (~v170(constB143)))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26724,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB143) | v139(constB143) | (~v170(constB143))),
% 7.34/5.53 inference(modus_ponens,[status(thm)],[26723, 26722])).
% 7.34/5.53 tff(26725,plain,
% 7.34/5.53 (v140(constB143) | v139(constB143) | (~v170(constB143))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26724, 15833])).
% 7.34/5.53 tff(26726,plain,
% 7.34/5.53 (~v170(constB143)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26725, 26721, 26715])).
% 7.34/5.53 tff(26727,plain,
% 7.34/5.53 ((~(v163(constB143) <=> v170(constB143))) | (~v163(constB143)) | v170(constB143)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26728,plain,
% 7.34/5.53 ((~(v163(constB143) <=> v170(constB143))) | (~v163(constB143))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26727, 26726])).
% 7.34/5.53 tff(26729,plain,
% 7.34/5.53 (~v163(constB143)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26728, 26709])).
% 7.34/5.53 tff(26730,plain,
% 7.34/5.53 ((~(v161(constB143) <=> v163(constB143))) | (~v161(constB143)) | v163(constB143)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26731,plain,
% 7.34/5.53 ((~(v161(constB143) <=> v163(constB143))) | (~v161(constB143))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26730, 26729])).
% 7.34/5.53 tff(26732,plain,
% 7.34/5.53 (~v161(constB143)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26731, 26666])).
% 7.34/5.53 tff(26733,plain,
% 7.34/5.53 (((~v185(constB143)) | (~v161(constB143))) | v161(constB143)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26734,plain,
% 7.34/5.53 ((~v185(constB143)) | (~v161(constB143))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26733, 26732])).
% 7.34/5.53 tff(26735,plain,
% 7.34/5.53 ((~(v184(constB143) <=> (~((~v185(constB143)) | (~v161(constB143)))))) | (~v184(constB143)) | (~((~v185(constB143)) | (~v161(constB143))))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26736,plain,
% 7.34/5.53 (~v184(constB143)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26735, 26734, 26664])).
% 7.34/5.53 tff(26737,plain,
% 7.34/5.53 (((~v183(constB143)) | (~v184(constB143))) | v184(constB143)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26738,plain,
% 7.34/5.53 ((~v183(constB143)) | (~v184(constB143))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26737, 26736])).
% 7.34/5.53 tff(26739,plain,
% 7.34/5.53 ((~(v180(constB143) <=> (~((~v183(constB143)) | (~v184(constB143)))))) | (~v180(constB143)) | (~((~v183(constB143)) | (~v184(constB143))))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26740,plain,
% 7.34/5.53 (~v180(constB143)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26739, 26738, 26662])).
% 7.34/5.53 tff(26741,plain,
% 7.34/5.53 ((~(v182(constB144) <=> v180(constB143))) | (~v182(constB144)) | v180(constB143)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26742,plain,
% 7.34/5.53 (~v182(constB144)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26741, 26740, 26660])).
% 7.34/5.53 tff(26743,plain,
% 7.34/5.53 ((~(v159(constB144) <=> v182(constB144))) | (~v159(constB144)) | v182(constB144)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26744,plain,
% 7.34/5.53 (~v159(constB144)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26743, 26742, 26656])).
% 7.34/5.53 tff(26745,plain,
% 7.34/5.53 (((~v159(constB144)) | (~v194(constB144))) | v159(constB144)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26746,plain,
% 7.34/5.53 ((~v159(constB144)) | (~v194(constB144))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26745, 26744])).
% 7.34/5.53 tff(26747,plain,
% 7.34/5.53 ((~(v196(constB144) <=> (~((~v159(constB144)) | (~v194(constB144)))))) | (~v196(constB144)) | (~((~v159(constB144)) | (~v194(constB144))))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26748,plain,
% 7.34/5.53 (~v196(constB144)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26747, 26746, 26654])).
% 7.34/5.53 tff(26749,plain,
% 7.34/5.53 ((~(v193(constB144) | v196(constB144))) | v193(constB144) | v196(constB144)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26750,plain,
% 7.34/5.53 (~(v193(constB144) | v196(constB144))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26749, 26748, 26647])).
% 7.34/5.53 tff(26751,plain,
% 7.34/5.53 ((~(v190(constB144) <=> (v193(constB144) | v196(constB144)))) | (~v190(constB144)) | (v193(constB144) | v196(constB144))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26752,plain,
% 7.34/5.53 (~v190(constB144)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26751, 26750, 26501])).
% 7.34/5.53 tff(26753,plain,
% 7.34/5.53 ((~(v192(constB145) <=> v190(constB144))) | (~v192(constB145)) | v190(constB144)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26754,plain,
% 7.34/5.53 (~v192(constB145)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26753, 26752, 26499])).
% 7.34/5.53 tff(26755,plain,
% 7.34/5.53 ((~(v157(constB145) <=> v192(constB145))) | (~v157(constB145)) | v192(constB145)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26756,plain,
% 7.34/5.53 (~v157(constB145)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26755, 26754, 26495])).
% 7.34/5.53 tff(26757,plain,
% 7.34/5.53 (((~v157(constB145)) | (~v202(constB145))) | v157(constB145)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26758,plain,
% 7.34/5.53 ((~v157(constB145)) | (~v202(constB145))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26757, 26756])).
% 7.34/5.53 tff(26759,plain,
% 7.34/5.53 ((~(v201(constB145) <=> (~((~v157(constB145)) | (~v202(constB145)))))) | (~v201(constB145)) | (~((~v157(constB145)) | (~v202(constB145))))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26760,plain,
% 7.34/5.53 (~v201(constB145)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26759, 26758, 26493])).
% 7.34/5.53 tff(26761,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB145) <=> (~((~v159(constB145)) | (~v202(constB145)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB145) <=> (~((~v159(constB145)) | (~v202(constB145))))))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26762,plain,
% 7.34/5.53 ((v205(constB145) <=> (~((~v202(constB145)) | (~v159(constB145))))) <=> (v205(constB145) <=> (~((~v159(constB145)) | (~v202(constB145)))))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26763,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB145) <=> (~((~v202(constB145)) | (~v159(constB145)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB145) <=> (~((~v159(constB145)) | (~v202(constB145))))))),
% 7.34/5.53 inference(monotonicity,[status(thm)],[26762])).
% 7.34/5.53 tff(26764,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB145) <=> (~((~v202(constB145)) | (~v159(constB145)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB145) <=> (~((~v159(constB145)) | (~v202(constB145))))))),
% 7.34/5.53 inference(transitivity,[status(thm)],[26763, 26761])).
% 7.34/5.53 tff(26765,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB145) <=> (~((~v202(constB145)) | (~v159(constB145)))))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26766,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB145) <=> (~((~v159(constB145)) | (~v202(constB145)))))),
% 7.34/5.53 inference(modus_ponens,[status(thm)],[26765, 26764])).
% 7.34/5.53 tff(26767,plain,
% 7.34/5.53 (v205(constB145) <=> (~((~v159(constB145)) | (~v202(constB145))))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26766, 138])).
% 7.34/5.53 tff(26768,plain,
% 7.34/5.53 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB145) <=> v182(constB145))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26769,plain,
% 7.34/5.53 (v159(constB145) <=> v182(constB145)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26768, 15113])).
% 7.34/5.53 tff(26770,plain,
% 7.34/5.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB144, constB145)) | (v182(constB145) <=> v180(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB144, constB145)) | (v182(constB145) <=> v180(constB144)))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26771,plain,
% 7.34/5.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB144, constB145)) | (v182(constB145) <=> v180(constB144)))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26772,plain,
% 7.34/5.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB144, constB145)) | (v182(constB145) <=> v180(constB144))),
% 7.34/5.53 inference(modus_ponens,[status(thm)],[26771, 26770])).
% 7.34/5.53 tff(26773,plain,
% 7.34/5.53 (v182(constB145) <=> v180(constB144)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26772, 18070, 15125])).
% 7.34/5.53 tff(26774,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB144) <=> (~((~v183(constB144)) | (~v184(constB144)))))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26775,plain,
% 7.34/5.53 (v180(constB144) <=> (~((~v183(constB144)) | (~v184(constB144))))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26774, 15139])).
% 7.34/5.53 tff(26776,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB144) <=> (~((~v185(constB144)) | (~v161(constB144)))))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26777,plain,
% 7.34/5.53 (v184(constB144) <=> (~((~v185(constB144)) | (~v161(constB144))))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26776, 15151])).
% 7.34/5.53 tff(26778,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB144) <=> (~((~v39(constB144)) | (~v9(constB144)))))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26779,plain,
% 7.34/5.53 (v185(constB144) <=> (~((~v39(constB144)) | (~v9(constB144))))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26778, 93])).
% 7.34/5.53 tff(26780,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB144)) <=> v1(constB144))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26781,plain,
% 7.34/5.53 ((~v39(constB144)) <=> v1(constB144)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26780, 102])).
% 7.34/5.53 tff(26782,plain,
% 7.34/5.53 ((~((~v39(constB144)) <=> v1(constB144))) | (~v39(constB144)) | (~v1(constB144))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26783,plain,
% 7.34/5.53 ((~((~v39(constB144)) <=> v1(constB144))) | (~v39(constB144))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26782, 19732])).
% 7.34/5.53 tff(26784,plain,
% 7.34/5.53 (~v39(constB144)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26783, 26781])).
% 7.34/5.53 tff(26785,plain,
% 7.34/5.53 (((~v39(constB144)) | (~v9(constB144))) | v39(constB144)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26786,plain,
% 7.34/5.53 ((~v39(constB144)) | (~v9(constB144))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26785, 26784])).
% 7.34/5.53 tff(26787,plain,
% 7.34/5.53 ((~(v185(constB144) <=> (~((~v39(constB144)) | (~v9(constB144)))))) | (~v185(constB144)) | (~((~v39(constB144)) | (~v9(constB144))))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26788,plain,
% 7.34/5.53 ((~(v185(constB144) <=> (~((~v39(constB144)) | (~v9(constB144)))))) | (~v185(constB144))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26787, 26786])).
% 7.34/5.53 tff(26789,plain,
% 7.34/5.53 (~v185(constB144)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26788, 26779])).
% 7.34/5.53 tff(26790,plain,
% 7.34/5.53 (((~v185(constB144)) | (~v161(constB144))) | v185(constB144)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26791,plain,
% 7.34/5.53 ((~v185(constB144)) | (~v161(constB144))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26790, 26789])).
% 7.34/5.53 tff(26792,plain,
% 7.34/5.53 ((~(v184(constB144) <=> (~((~v185(constB144)) | (~v161(constB144)))))) | (~v184(constB144)) | (~((~v185(constB144)) | (~v161(constB144))))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26793,plain,
% 7.34/5.53 ((~(v184(constB144) <=> (~((~v185(constB144)) | (~v161(constB144)))))) | (~v184(constB144))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26792, 26791])).
% 7.34/5.53 tff(26794,plain,
% 7.34/5.53 (~v184(constB144)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26793, 26777])).
% 7.34/5.53 tff(26795,plain,
% 7.34/5.53 (((~v183(constB144)) | (~v184(constB144))) | v184(constB144)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26796,plain,
% 7.34/5.53 ((~v183(constB144)) | (~v184(constB144))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26795, 26794])).
% 7.34/5.53 tff(26797,plain,
% 7.34/5.53 ((~(v180(constB144) <=> (~((~v183(constB144)) | (~v184(constB144)))))) | (~v180(constB144)) | (~((~v183(constB144)) | (~v184(constB144))))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26798,plain,
% 7.34/5.53 (~v180(constB144)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26797, 26796, 26775])).
% 7.34/5.53 tff(26799,plain,
% 7.34/5.53 ((~(v182(constB145) <=> v180(constB144))) | (~v182(constB145)) | v180(constB144)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26800,plain,
% 7.34/5.53 (~v182(constB145)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26799, 26798, 26773])).
% 7.34/5.53 tff(26801,plain,
% 7.34/5.53 ((~(v159(constB145) <=> v182(constB145))) | (~v159(constB145)) | v182(constB145)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26802,plain,
% 7.34/5.53 (~v159(constB145)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26801, 26800, 26769])).
% 7.34/5.53 tff(26803,plain,
% 7.34/5.53 (((~v159(constB145)) | (~v202(constB145))) | v159(constB145)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26804,plain,
% 7.34/5.53 ((~v159(constB145)) | (~v202(constB145))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26803, 26802])).
% 7.34/5.53 tff(26805,plain,
% 7.34/5.53 ((~(v205(constB145) <=> (~((~v159(constB145)) | (~v202(constB145)))))) | (~v205(constB145)) | (~((~v159(constB145)) | (~v202(constB145))))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26806,plain,
% 7.34/5.53 (~v205(constB145)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26805, 26804, 26767])).
% 7.34/5.53 tff(26807,plain,
% 7.34/5.53 ((~(v201(constB145) | v205(constB145))) | v201(constB145) | v205(constB145)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26808,plain,
% 7.34/5.53 ((~(v201(constB145) | v205(constB145))) | v201(constB145)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26807, 26806])).
% 7.34/5.53 tff(26809,plain,
% 7.34/5.53 (~(v201(constB145) | v205(constB145))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26808, 26760])).
% 7.34/5.53 tff(26810,plain,
% 7.34/5.53 ((~(v200(constB145) <=> (v201(constB145) | v205(constB145)))) | (~v200(constB145)) | (v201(constB145) | v205(constB145))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26811,plain,
% 7.34/5.53 (~v200(constB145)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26810, 26809, 26486])).
% 7.34/5.53 tff(26812,plain,
% 7.34/5.53 ($false),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26811, 26484])).
% 7.34/5.53 tff(26813,plain,(~(constB145 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.34/5.53 tff(26814,assumption,(constB3 = VarCurr!0), introduced(assumption)).
% 7.34/5.53 tff(26815,plain,
% 7.34/5.53 (v200(constB3) <=> v200(VarCurr!0)),
% 7.34/5.53 inference(monotonicity,[status(thm)],[26814])).
% 7.34/5.53 tff(26816,plain,
% 7.34/5.53 (v200(VarCurr!0) <=> v200(constB3)),
% 7.34/5.53 inference(symmetry,[status(thm)],[26815])).
% 7.34/5.53 tff(26817,plain,
% 7.34/5.53 (v200(constB3)),
% 7.34/5.53 inference(modus_ponens,[status(thm)],[27, 26816])).
% 7.34/5.53 tff(26818,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB3) <=> (v201(constB3) | v205(constB3)))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26819,plain,
% 7.34/5.53 (v200(constB3) <=> (v201(constB3) | v205(constB3))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26818, 35])).
% 7.34/5.53 tff(26820,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB3) <=> (~((~v157(constB3)) | (~v202(constB3)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB3) <=> (~((~v157(constB3)) | (~v202(constB3))))))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26821,plain,
% 7.34/5.53 ((v201(constB3) <=> (~((~v202(constB3)) | (~v157(constB3))))) <=> (v201(constB3) <=> (~((~v157(constB3)) | (~v202(constB3)))))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26822,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB3) <=> (~((~v202(constB3)) | (~v157(constB3)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB3) <=> (~((~v157(constB3)) | (~v202(constB3))))))),
% 7.34/5.53 inference(monotonicity,[status(thm)],[26821])).
% 7.34/5.53 tff(26823,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB3) <=> (~((~v202(constB3)) | (~v157(constB3)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB3) <=> (~((~v157(constB3)) | (~v202(constB3))))))),
% 7.34/5.53 inference(transitivity,[status(thm)],[26822, 26820])).
% 7.34/5.53 tff(26824,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB3) <=> (~((~v202(constB3)) | (~v157(constB3)))))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26825,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB3) <=> (~((~v157(constB3)) | (~v202(constB3)))))),
% 7.34/5.53 inference(modus_ponens,[status(thm)],[26824, 26823])).
% 7.34/5.53 tff(26826,plain,
% 7.34/5.53 (v201(constB3) <=> (~((~v157(constB3)) | (~v202(constB3))))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26825, 47])).
% 7.34/5.53 tff(26827,plain,
% 7.34/5.53 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB3) <=> v192(constB3))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26828,plain,
% 7.34/5.53 (v157(constB3) <=> v192(constB3)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26827, 15407])).
% 7.34/5.53 tff(26829,plain,
% 7.34/5.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB2, constB3)) | (v192(constB3) <=> v190(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB2, constB3)) | (v192(constB3) <=> v190(constB2)))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26830,plain,
% 7.34/5.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB2, constB3)) | (v192(constB3) <=> v190(constB2)))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26831,plain,
% 7.34/5.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB2, constB3)) | (v192(constB3) <=> v190(constB2))),
% 7.34/5.53 inference(modus_ponens,[status(thm)],[26830, 26829])).
% 7.34/5.53 tff(26832,plain,
% 7.34/5.53 (v192(constB3) <=> v190(constB2)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26831, 4441, 15419])).
% 7.34/5.53 tff(26833,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB2) <=> (v193(constB2) | v196(constB2)))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26834,plain,
% 7.34/5.53 (v190(constB2) <=> (v193(constB2) | v196(constB2))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26833, 15430])).
% 7.34/5.53 tff(26835,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB2) <=> (~((~v157(constB2)) | (~v194(constB2)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB2) <=> (~((~v157(constB2)) | (~v194(constB2))))))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26836,plain,
% 7.34/5.53 ((v193(constB2) <=> (~((~v194(constB2)) | (~v157(constB2))))) <=> (v193(constB2) <=> (~((~v157(constB2)) | (~v194(constB2)))))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26837,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB2) <=> (~((~v194(constB2)) | (~v157(constB2)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB2) <=> (~((~v157(constB2)) | (~v194(constB2))))))),
% 7.34/5.53 inference(monotonicity,[status(thm)],[26836])).
% 7.34/5.53 tff(26838,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB2) <=> (~((~v194(constB2)) | (~v157(constB2)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB2) <=> (~((~v157(constB2)) | (~v194(constB2))))))),
% 7.34/5.53 inference(transitivity,[status(thm)],[26837, 26835])).
% 7.34/5.53 tff(26839,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB2) <=> (~((~v194(constB2)) | (~v157(constB2)))))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26840,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB2) <=> (~((~v157(constB2)) | (~v194(constB2)))))),
% 7.34/5.53 inference(modus_ponens,[status(thm)],[26839, 26838])).
% 7.34/5.53 tff(26841,plain,
% 7.34/5.53 (v193(constB2) <=> (~((~v157(constB2)) | (~v194(constB2))))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26840, 15442])).
% 7.34/5.53 tff(26842,plain,
% 7.34/5.53 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB2) <=> v192(constB2))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26843,plain,
% 7.34/5.53 (v157(constB2) <=> v192(constB2)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26842, 15407])).
% 7.34/5.53 tff(26844,plain,
% 7.34/5.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB1, constB2)) | (v192(constB2) <=> v190(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB1, constB2)) | (v192(constB2) <=> v190(constB1)))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26845,plain,
% 7.34/5.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB1, constB2)) | (v192(constB2) <=> v190(constB1)))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26846,plain,
% 7.34/5.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB1, constB2)) | (v192(constB2) <=> v190(constB1))),
% 7.34/5.53 inference(modus_ponens,[status(thm)],[26845, 26844])).
% 7.34/5.53 tff(26847,plain,
% 7.34/5.53 (v192(constB2) <=> v190(constB1)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26846, 4477, 15419])).
% 7.34/5.53 tff(26848,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB1) <=> (v193(constB1) | v196(constB1)))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26849,plain,
% 7.34/5.53 (v190(constB1) <=> (v193(constB1) | v196(constB1))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26848, 15430])).
% 7.34/5.53 tff(26850,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB1) <=> (~((~v159(constB1)) | (~v194(constB1)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB1) <=> (~((~v159(constB1)) | (~v194(constB1))))))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26851,plain,
% 7.34/5.53 ((v196(constB1) <=> (~((~v194(constB1)) | (~v159(constB1))))) <=> (v196(constB1) <=> (~((~v159(constB1)) | (~v194(constB1)))))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26852,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB1) <=> (~((~v194(constB1)) | (~v159(constB1)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB1) <=> (~((~v159(constB1)) | (~v194(constB1))))))),
% 7.34/5.53 inference(monotonicity,[status(thm)],[26851])).
% 7.34/5.53 tff(26853,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB1) <=> (~((~v194(constB1)) | (~v159(constB1)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB1) <=> (~((~v159(constB1)) | (~v194(constB1))))))),
% 7.34/5.53 inference(transitivity,[status(thm)],[26852, 26850])).
% 7.34/5.53 tff(26854,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB1) <=> (~((~v194(constB1)) | (~v159(constB1)))))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26855,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB1) <=> (~((~v159(constB1)) | (~v194(constB1)))))),
% 7.34/5.53 inference(modus_ponens,[status(thm)],[26854, 26853])).
% 7.34/5.53 tff(26856,plain,
% 7.34/5.53 (v196(constB1) <=> (~((~v159(constB1)) | (~v194(constB1))))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26855, 15467])).
% 7.34/5.53 tff(26857,plain,
% 7.34/5.53 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB1) <=> v182(constB1))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26858,plain,
% 7.34/5.53 (v159(constB1) <=> v182(constB1)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26857, 15113])).
% 7.34/5.53 tff(26859,plain,
% 7.34/5.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB0, constB1)) | (v182(constB1) <=> v180(constB0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB0, constB1)) | (v182(constB1) <=> v180(constB0)))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26860,plain,
% 7.34/5.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB0, constB1)) | (v182(constB1) <=> v180(constB0)))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26861,plain,
% 7.34/5.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB0, constB1)) | (v182(constB1) <=> v180(constB0))),
% 7.34/5.53 inference(modus_ponens,[status(thm)],[26860, 26859])).
% 7.34/5.53 tff(26862,plain,
% 7.34/5.53 (v182(constB1) <=> v180(constB0)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26861, 4502, 15125])).
% 7.34/5.53 tff(26863,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB0) <=> (~((~v183(constB0)) | (~v184(constB0)))))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26864,plain,
% 7.34/5.53 (v180(constB0) <=> (~((~v183(constB0)) | (~v184(constB0))))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26863, 15139])).
% 7.34/5.53 tff(26865,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB0) <=> (~((~v161(constB0)) | (~v185(constB0)))))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB0) <=> (~((~v161(constB0)) | (~v185(constB0))))))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26866,plain,
% 7.34/5.53 ((v184(constB0) <=> (~((~v185(constB0)) | (~v161(constB0))))) <=> (v184(constB0) <=> (~((~v161(constB0)) | (~v185(constB0)))))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26867,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB0) <=> (~((~v185(constB0)) | (~v161(constB0)))))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB0) <=> (~((~v161(constB0)) | (~v185(constB0))))))),
% 7.34/5.53 inference(monotonicity,[status(thm)],[26866])).
% 7.34/5.53 tff(26868,plain,
% 7.34/5.53 (((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB0) <=> (~((~v185(constB0)) | (~v161(constB0)))))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB0) <=> (~((~v161(constB0)) | (~v185(constB0))))))),
% 7.34/5.53 inference(transitivity,[status(thm)],[26867, 26865])).
% 7.34/5.53 tff(26869,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB0) <=> (~((~v185(constB0)) | (~v161(constB0)))))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26870,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB0) <=> (~((~v161(constB0)) | (~v185(constB0)))))),
% 7.34/5.53 inference(modus_ponens,[status(thm)],[26869, 26868])).
% 7.34/5.53 tff(26871,plain,
% 7.34/5.53 (v184(constB0) <=> (~((~v161(constB0)) | (~v185(constB0))))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26870, 15151])).
% 7.34/5.53 tff(26872,plain,
% 7.34/5.53 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB0) <=> v163(constB0))),
% 7.34/5.53 inference(quant_inst,[status(thm)],[])).
% 7.34/5.53 tff(26873,plain,
% 7.34/5.53 (v161(constB0) <=> v163(constB0)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26872, 15701])).
% 7.34/5.53 tff(26874,plain,
% 7.34/5.53 ((~v163(constB0)) <=> (~v163(constB0))),
% 7.34/5.53 inference(rewrite,[status(thm)],[])).
% 7.34/5.53 tff(26875,axiom,(~v163(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_6')).
% 7.34/5.53 tff(26876,plain,
% 7.34/5.53 (~v163(constB0)),
% 7.34/5.53 inference(modus_ponens,[status(thm)],[26875, 26874])).
% 7.34/5.53 tff(26877,plain,
% 7.34/5.53 ((~(v161(constB0) <=> v163(constB0))) | (~v161(constB0)) | v163(constB0)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26878,plain,
% 7.34/5.53 ((~(v161(constB0) <=> v163(constB0))) | (~v161(constB0))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26877, 26876])).
% 7.34/5.53 tff(26879,plain,
% 7.34/5.53 (~v161(constB0)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26878, 26873])).
% 7.34/5.53 tff(26880,plain,
% 7.34/5.53 (((~v161(constB0)) | (~v185(constB0))) | v161(constB0)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26881,plain,
% 7.34/5.53 ((~v161(constB0)) | (~v185(constB0))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26880, 26879])).
% 7.34/5.53 tff(26882,plain,
% 7.34/5.53 ((~(v184(constB0) <=> (~((~v161(constB0)) | (~v185(constB0)))))) | (~v184(constB0)) | (~((~v161(constB0)) | (~v185(constB0))))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26883,plain,
% 7.34/5.53 ((~(v184(constB0) <=> (~((~v161(constB0)) | (~v185(constB0)))))) | (~v184(constB0))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26882, 26881])).
% 7.34/5.53 tff(26884,plain,
% 7.34/5.53 (~v184(constB0)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26883, 26871])).
% 7.34/5.53 tff(26885,plain,
% 7.34/5.53 (((~v183(constB0)) | (~v184(constB0))) | v184(constB0)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26886,plain,
% 7.34/5.53 ((~v183(constB0)) | (~v184(constB0))),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26885, 26884])).
% 7.34/5.53 tff(26887,plain,
% 7.34/5.53 ((~(v180(constB0) <=> (~((~v183(constB0)) | (~v184(constB0)))))) | (~v180(constB0)) | (~((~v183(constB0)) | (~v184(constB0))))),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26888,plain,
% 7.34/5.53 (~v180(constB0)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26887, 26886, 26864])).
% 7.34/5.53 tff(26889,plain,
% 7.34/5.53 ((~(v182(constB1) <=> v180(constB0))) | (~v182(constB1)) | v180(constB0)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.53 tff(26890,plain,
% 7.34/5.53 (~v182(constB1)),
% 7.34/5.53 inference(unit_resolution,[status(thm)],[26889, 26888, 26862])).
% 7.34/5.53 tff(26891,plain,
% 7.34/5.53 ((~(v159(constB1) <=> v182(constB1))) | (~v159(constB1)) | v182(constB1)),
% 7.34/5.53 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26892,plain,
% 7.34/5.54 (~v159(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26891, 26890, 26858])).
% 7.34/5.54 tff(26893,plain,
% 7.34/5.54 (((~v159(constB1)) | (~v194(constB1))) | v159(constB1)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26894,plain,
% 7.34/5.54 ((~v159(constB1)) | (~v194(constB1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26893, 26892])).
% 7.34/5.54 tff(26895,plain,
% 7.34/5.54 ((~(v196(constB1) <=> (~((~v159(constB1)) | (~v194(constB1)))))) | (~v196(constB1)) | (~((~v159(constB1)) | (~v194(constB1))))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26896,plain,
% 7.34/5.54 ((~(v196(constB1) <=> (~((~v159(constB1)) | (~v194(constB1)))))) | (~v196(constB1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26895, 26894])).
% 7.34/5.54 tff(26897,plain,
% 7.34/5.54 (~v196(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26896, 26856])).
% 7.34/5.54 tff(26898,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB1) <=> (~((~v157(constB1)) | (~v194(constB1)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB1) <=> (~((~v157(constB1)) | (~v194(constB1))))))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(26899,plain,
% 7.34/5.54 ((v193(constB1) <=> (~((~v194(constB1)) | (~v157(constB1))))) <=> (v193(constB1) <=> (~((~v157(constB1)) | (~v194(constB1)))))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(26900,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB1) <=> (~((~v194(constB1)) | (~v157(constB1)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB1) <=> (~((~v157(constB1)) | (~v194(constB1))))))),
% 7.34/5.54 inference(monotonicity,[status(thm)],[26899])).
% 7.34/5.54 tff(26901,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB1) <=> (~((~v194(constB1)) | (~v157(constB1)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB1) <=> (~((~v157(constB1)) | (~v194(constB1))))))),
% 7.34/5.54 inference(transitivity,[status(thm)],[26900, 26898])).
% 7.34/5.54 tff(26902,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB1) <=> (~((~v194(constB1)) | (~v157(constB1)))))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26903,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB1) <=> (~((~v157(constB1)) | (~v194(constB1)))))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[26902, 26901])).
% 7.34/5.54 tff(26904,plain,
% 7.34/5.54 (v193(constB1) <=> (~((~v157(constB1)) | (~v194(constB1))))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26903, 15442])).
% 7.34/5.54 tff(26905,plain,
% 7.34/5.54 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB1) <=> v192(constB1))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26906,plain,
% 7.34/5.54 (v157(constB1) <=> v192(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26905, 15407])).
% 7.34/5.54 tff(26907,plain,
% 7.34/5.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB0, constB1)) | (v192(constB1) <=> v190(constB0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB0, constB1)) | (v192(constB1) <=> v190(constB0)))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(26908,plain,
% 7.34/5.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB0, constB1)) | (v192(constB1) <=> v190(constB0)))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26909,plain,
% 7.34/5.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB0, constB1)) | (v192(constB1) <=> v190(constB0))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[26908, 26907])).
% 7.34/5.54 tff(26910,plain,
% 7.34/5.54 (v192(constB1) <=> v190(constB0)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26909, 4502, 15419])).
% 7.34/5.54 tff(26911,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB0) <=> (v193(constB0) | v196(constB0)))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26912,plain,
% 7.34/5.54 (v190(constB0) <=> (v193(constB0) | v196(constB0))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26911, 15430])).
% 7.34/5.54 tff(26913,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB0) <=> (~((~v157(constB0)) | (~v194(constB0)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB0) <=> (~((~v157(constB0)) | (~v194(constB0))))))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(26914,plain,
% 7.34/5.54 ((v193(constB0) <=> (~((~v194(constB0)) | (~v157(constB0))))) <=> (v193(constB0) <=> (~((~v157(constB0)) | (~v194(constB0)))))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(26915,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB0) <=> (~((~v194(constB0)) | (~v157(constB0)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB0) <=> (~((~v157(constB0)) | (~v194(constB0))))))),
% 7.34/5.54 inference(monotonicity,[status(thm)],[26914])).
% 7.34/5.54 tff(26916,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB0) <=> (~((~v194(constB0)) | (~v157(constB0)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB0) <=> (~((~v157(constB0)) | (~v194(constB0))))))),
% 7.34/5.54 inference(transitivity,[status(thm)],[26915, 26913])).
% 7.34/5.54 tff(26917,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB0) <=> (~((~v194(constB0)) | (~v157(constB0)))))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26918,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB0) <=> (~((~v157(constB0)) | (~v194(constB0)))))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[26917, 26916])).
% 7.34/5.54 tff(26919,plain,
% 7.34/5.54 (v193(constB0) <=> (~((~v157(constB0)) | (~v194(constB0))))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26918, 15442])).
% 7.34/5.54 tff(26920,plain,
% 7.34/5.54 (((~v157(constB0)) | (~v194(constB0))) | v157(constB0)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26921,plain,
% 7.34/5.54 ((~v157(constB0)) | (~v194(constB0))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26920, 25973])).
% 7.34/5.54 tff(26922,plain,
% 7.34/5.54 ((~(v193(constB0) <=> (~((~v157(constB0)) | (~v194(constB0)))))) | (~v193(constB0)) | (~((~v157(constB0)) | (~v194(constB0))))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26923,plain,
% 7.34/5.54 ((~(v193(constB0) <=> (~((~v157(constB0)) | (~v194(constB0)))))) | (~v193(constB0))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26922, 26921])).
% 7.34/5.54 tff(26924,plain,
% 7.34/5.54 (~v193(constB0)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26923, 26919])).
% 7.34/5.54 tff(26925,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB0) <=> (~((~v159(constB0)) | (~v194(constB0)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB0) <=> (~((~v159(constB0)) | (~v194(constB0))))))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(26926,plain,
% 7.34/5.54 ((v196(constB0) <=> (~((~v194(constB0)) | (~v159(constB0))))) <=> (v196(constB0) <=> (~((~v159(constB0)) | (~v194(constB0)))))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(26927,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB0) <=> (~((~v194(constB0)) | (~v159(constB0)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB0) <=> (~((~v159(constB0)) | (~v194(constB0))))))),
% 7.34/5.54 inference(monotonicity,[status(thm)],[26926])).
% 7.34/5.54 tff(26928,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB0) <=> (~((~v194(constB0)) | (~v159(constB0)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB0) <=> (~((~v159(constB0)) | (~v194(constB0))))))),
% 7.34/5.54 inference(transitivity,[status(thm)],[26927, 26925])).
% 7.34/5.54 tff(26929,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB0) <=> (~((~v194(constB0)) | (~v159(constB0)))))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26930,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB0) <=> (~((~v159(constB0)) | (~v194(constB0)))))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[26929, 26928])).
% 7.34/5.54 tff(26931,plain,
% 7.34/5.54 (v196(constB0) <=> (~((~v159(constB0)) | (~v194(constB0))))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26930, 15467])).
% 7.34/5.54 tff(26932,plain,
% 7.34/5.54 (((~v159(constB0)) | (~v194(constB0))) | v159(constB0)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26933,plain,
% 7.34/5.54 ((~v159(constB0)) | (~v194(constB0))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26932, 25988])).
% 7.34/5.54 tff(26934,plain,
% 7.34/5.54 ((~(v196(constB0) <=> (~((~v159(constB0)) | (~v194(constB0)))))) | (~v196(constB0)) | (~((~v159(constB0)) | (~v194(constB0))))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26935,plain,
% 7.34/5.54 ((~(v196(constB0) <=> (~((~v159(constB0)) | (~v194(constB0)))))) | (~v196(constB0))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26934, 26933])).
% 7.34/5.54 tff(26936,plain,
% 7.34/5.54 (~v196(constB0)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26935, 26931])).
% 7.34/5.54 tff(26937,plain,
% 7.34/5.54 ((~(v193(constB0) | v196(constB0))) | v193(constB0) | v196(constB0)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26938,plain,
% 7.34/5.54 (~(v193(constB0) | v196(constB0))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26937, 26936, 26924])).
% 7.34/5.54 tff(26939,plain,
% 7.34/5.54 ((~(v190(constB0) <=> (v193(constB0) | v196(constB0)))) | (~v190(constB0)) | (v193(constB0) | v196(constB0))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26940,plain,
% 7.34/5.54 ((~(v190(constB0) <=> (v193(constB0) | v196(constB0)))) | (~v190(constB0))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26939, 26938])).
% 7.34/5.54 tff(26941,plain,
% 7.34/5.54 (~v190(constB0)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26940, 26912])).
% 7.34/5.54 tff(26942,plain,
% 7.34/5.54 ((~(v192(constB1) <=> v190(constB0))) | (~v192(constB1)) | v190(constB0)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26943,plain,
% 7.34/5.54 (~v192(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26942, 26941, 26910])).
% 7.34/5.54 tff(26944,plain,
% 7.34/5.54 ((~(v157(constB1) <=> v192(constB1))) | (~v157(constB1)) | v192(constB1)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26945,plain,
% 7.34/5.54 (~v157(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26944, 26943, 26906])).
% 7.34/5.54 tff(26946,plain,
% 7.34/5.54 (((~v157(constB1)) | (~v194(constB1))) | v157(constB1)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26947,plain,
% 7.34/5.54 ((~v157(constB1)) | (~v194(constB1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26946, 26945])).
% 7.34/5.54 tff(26948,plain,
% 7.34/5.54 ((~(v193(constB1) <=> (~((~v157(constB1)) | (~v194(constB1)))))) | (~v193(constB1)) | (~((~v157(constB1)) | (~v194(constB1))))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26949,plain,
% 7.34/5.54 ((~(v193(constB1) <=> (~((~v157(constB1)) | (~v194(constB1)))))) | (~v193(constB1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26948, 26947])).
% 7.34/5.54 tff(26950,plain,
% 7.34/5.54 (~v193(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26949, 26904])).
% 7.34/5.54 tff(26951,plain,
% 7.34/5.54 ((~(v193(constB1) | v196(constB1))) | v193(constB1) | v196(constB1)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26952,plain,
% 7.34/5.54 (~(v193(constB1) | v196(constB1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26951, 26950, 26897])).
% 7.34/5.54 tff(26953,plain,
% 7.34/5.54 ((~(v190(constB1) <=> (v193(constB1) | v196(constB1)))) | (~v190(constB1)) | (v193(constB1) | v196(constB1))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26954,plain,
% 7.34/5.54 (~v190(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26953, 26952, 26849])).
% 7.34/5.54 tff(26955,plain,
% 7.34/5.54 ((~(v192(constB2) <=> v190(constB1))) | (~v192(constB2)) | v190(constB1)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26956,plain,
% 7.34/5.54 (~v192(constB2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26955, 26954, 26847])).
% 7.34/5.54 tff(26957,plain,
% 7.34/5.54 ((~(v157(constB2) <=> v192(constB2))) | (~v157(constB2)) | v192(constB2)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26958,plain,
% 7.34/5.54 (~v157(constB2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26957, 26956, 26843])).
% 7.34/5.54 tff(26959,plain,
% 7.34/5.54 (((~v157(constB2)) | (~v194(constB2))) | v157(constB2)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26960,plain,
% 7.34/5.54 ((~v157(constB2)) | (~v194(constB2))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26959, 26958])).
% 7.34/5.54 tff(26961,plain,
% 7.34/5.54 ((~(v193(constB2) <=> (~((~v157(constB2)) | (~v194(constB2)))))) | (~v193(constB2)) | (~((~v157(constB2)) | (~v194(constB2))))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(26962,plain,
% 7.34/5.54 (~v193(constB2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26961, 26960, 26841])).
% 7.34/5.54 tff(26963,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB2) <=> (~((~v159(constB2)) | (~v194(constB2)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB2) <=> (~((~v159(constB2)) | (~v194(constB2))))))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(26964,plain,
% 7.34/5.54 ((v196(constB2) <=> (~((~v194(constB2)) | (~v159(constB2))))) <=> (v196(constB2) <=> (~((~v159(constB2)) | (~v194(constB2)))))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(26965,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB2) <=> (~((~v194(constB2)) | (~v159(constB2)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB2) <=> (~((~v159(constB2)) | (~v194(constB2))))))),
% 7.34/5.54 inference(monotonicity,[status(thm)],[26964])).
% 7.34/5.54 tff(26966,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB2) <=> (~((~v194(constB2)) | (~v159(constB2)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB2) <=> (~((~v159(constB2)) | (~v194(constB2))))))),
% 7.34/5.54 inference(transitivity,[status(thm)],[26965, 26963])).
% 7.34/5.54 tff(26967,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB2) <=> (~((~v194(constB2)) | (~v159(constB2)))))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26968,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB2) <=> (~((~v159(constB2)) | (~v194(constB2)))))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[26967, 26966])).
% 7.34/5.54 tff(26969,plain,
% 7.34/5.54 (v196(constB2) <=> (~((~v159(constB2)) | (~v194(constB2))))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26968, 15467])).
% 7.34/5.54 tff(26970,plain,
% 7.34/5.54 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB2) <=> v182(constB2))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26971,plain,
% 7.34/5.54 (v159(constB2) <=> v182(constB2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26970, 15113])).
% 7.34/5.54 tff(26972,plain,
% 7.34/5.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB1, constB2)) | (v182(constB2) <=> v180(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB1, constB2)) | (v182(constB2) <=> v180(constB1)))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(26973,plain,
% 7.34/5.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB1, constB2)) | (v182(constB2) <=> v180(constB1)))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26974,plain,
% 7.34/5.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB1, constB2)) | (v182(constB2) <=> v180(constB1))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[26973, 26972])).
% 7.34/5.54 tff(26975,plain,
% 7.34/5.54 (v182(constB2) <=> v180(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26974, 4477, 15125])).
% 7.34/5.54 tff(26976,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB1) <=> (~((~v183(constB1)) | (~v184(constB1)))))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26977,plain,
% 7.34/5.54 (v180(constB1) <=> (~((~v183(constB1)) | (~v184(constB1))))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26976, 15139])).
% 7.34/5.54 tff(26978,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB1) <=> (~((~v185(constB1)) | (~v161(constB1)))))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26979,plain,
% 7.34/5.54 (v184(constB1) <=> (~((~v185(constB1)) | (~v161(constB1))))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26978, 15151])).
% 7.34/5.54 tff(26980,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB1) <=> v163(constB1))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26981,plain,
% 7.34/5.54 (v161(constB1) <=> v163(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26980, 15701])).
% 7.34/5.54 tff(26982,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB1) <=> (v145(constB1) | v167(constB1)))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26983,plain,
% 7.34/5.54 (v166(constB1) <=> (v145(constB1) | v167(constB1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26982, 15713])).
% 7.34/5.54 tff(26984,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB1) <=> (v142(constB1) | v168(constB1)))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26985,plain,
% 7.34/5.54 (v167(constB1) <=> (v142(constB1) | v168(constB1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26984, 15725])).
% 7.34/5.54 tff(26986,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB1) <=> (v141(constB1) | v169(constB1)))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26987,plain,
% 7.34/5.54 (v168(constB1) <=> (v141(constB1) | v169(constB1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26986, 26253])).
% 7.34/5.54 tff(26988,plain,
% 7.34/5.54 (^[VarCurr: state_type] : refl((v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))))),
% 7.34/5.54 inference(bind,[status(th)],[])).
% 7.34/5.54 tff(26989,plain,
% 7.34/5.54 (![VarCurr: state_type] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: state_type] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 7.34/5.54 inference(quant_intro,[status(thm)],[26988])).
% 7.34/5.54 tff(26990,plain,
% 7.34/5.54 (![VarCurr: state_type] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: state_type] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(26991,axiom,(![VarCurr: state_type] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36')).
% 7.34/5.54 tff(26992,plain,
% 7.34/5.54 (![VarCurr: state_type] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[26991, 26990])).
% 7.34/5.54 tff(26993,plain,(
% 7.34/5.54 ![VarCurr: state_type] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 7.34/5.54 inference(skolemize,[status(sab)],[26992])).
% 7.34/5.54 tff(26994,plain,
% 7.34/5.54 (![VarCurr: state_type] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[26993, 26989])).
% 7.34/5.54 tff(26995,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v169(constB1) <=> (v139(constB1) | v140(constB1)))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26996,plain,
% 7.34/5.54 (v169(constB1) <=> (v139(constB1) | v140(constB1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26995, 26994])).
% 7.34/5.54 tff(26997,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB1) <=> (~(v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2))))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(26998,plain,
% 7.34/5.54 (v139(constB1) <=> (~(v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2)))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26997, 15795])).
% 7.34/5.54 tff(26999,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB1, 1)) <=> v90(constB1, 1)) | ((~v88(constB1, 2)) <=> v90(constB1, 2)) | ((~v88(constB1, 0)) <=> v90(constB1, 0))))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(27000,plain,
% 7.34/5.54 (~(((~v88(constB1, 1)) <=> v90(constB1, 1)) | ((~v88(constB1, 2)) <=> v90(constB1, 2)) | ((~v88(constB1, 0)) <=> v90(constB1, 0)))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[26999, 256])).
% 7.34/5.54 tff(27001,plain,
% 7.34/5.54 ((((~v88(constB1, 1)) <=> v90(constB1, 1)) | ((~v88(constB1, 2)) <=> v90(constB1, 2)) | ((~v88(constB1, 0)) <=> v90(constB1, 0))) | (~((~v88(constB1, 0)) <=> v90(constB1, 0)))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27002,plain,
% 7.34/5.54 (~((~v88(constB1, 0)) <=> v90(constB1, 0))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27001, 27000])).
% 7.34/5.54 tff(27003,plain,
% 7.34/5.54 (((~v88(constB1, 0)) <=> v90(constB1, 0)) | (~v88(constB1, 0)) | v90(constB1, 0)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27004,plain,
% 7.34/5.54 (((~v88(constB1, 0)) <=> v90(constB1, 0)) | (~v88(constB1, 0))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27003, 4541])).
% 7.34/5.54 tff(27005,plain,
% 7.34/5.54 (~v88(constB1, 0)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27004, 27002])).
% 7.34/5.54 tff(27006,plain,
% 7.34/5.54 ((((~v88(constB1, 1)) <=> v90(constB1, 1)) | ((~v88(constB1, 2)) <=> v90(constB1, 2)) | ((~v88(constB1, 0)) <=> v90(constB1, 0))) | (~((~v88(constB1, 2)) <=> v90(constB1, 2)))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27007,plain,
% 7.34/5.54 (~((~v88(constB1, 2)) <=> v90(constB1, 2))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27006, 27000])).
% 7.34/5.54 tff(27008,plain,
% 7.34/5.54 (((~v88(constB1, 2)) <=> v90(constB1, 2)) | (~v88(constB1, 2)) | v90(constB1, 2)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27009,plain,
% 7.34/5.54 (((~v88(constB1, 2)) <=> v90(constB1, 2)) | (~v88(constB1, 2))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27008, 4549])).
% 7.34/5.54 tff(27010,plain,
% 7.34/5.54 (~v88(constB1, 2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27009, 27007])).
% 7.34/5.54 tff(27011,plain,
% 7.34/5.54 ((((~v88(constB1, 1)) <=> v90(constB1, 1)) | ((~v88(constB1, 2)) <=> v90(constB1, 2)) | ((~v88(constB1, 0)) <=> v90(constB1, 0))) | (~((~v88(constB1, 1)) <=> v90(constB1, 1)))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27012,plain,
% 7.34/5.54 (~((~v88(constB1, 1)) <=> v90(constB1, 1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27011, 27000])).
% 7.34/5.54 tff(27013,plain,
% 7.34/5.54 (((~v88(constB1, 1)) <=> v90(constB1, 1)) | (~v88(constB1, 1)) | v90(constB1, 1)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27014,plain,
% 7.34/5.54 (((~v88(constB1, 1)) <=> v90(constB1, 1)) | (~v88(constB1, 1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27013, 4557])).
% 7.34/5.54 tff(27015,plain,
% 7.34/5.54 (~v88(constB1, 1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27014, 27012])).
% 7.34/5.54 tff(27016,plain,
% 7.34/5.54 ((~(v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2))) | v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27017,plain,
% 7.34/5.54 (~(v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27016, 27015, 27010, 27005])).
% 7.34/5.54 tff(27018,plain,
% 7.34/5.54 ((~(v139(constB1) <=> (~(v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2))))) | v139(constB1) | (v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27019,plain,
% 7.34/5.54 ((~(v139(constB1) <=> (~(v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2))))) | v139(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27018, 27017])).
% 7.34/5.54 tff(27020,plain,
% 7.34/5.54 (v139(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27019, 26998])).
% 7.34/5.54 tff(27021,plain,
% 7.34/5.54 ((v139(constB1) | v140(constB1)) | (~v139(constB1))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27022,plain,
% 7.34/5.54 (v139(constB1) | v140(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27021, 27020])).
% 7.34/5.54 tff(27023,plain,
% 7.34/5.54 ((~(v169(constB1) <=> (v139(constB1) | v140(constB1)))) | v169(constB1) | (~(v139(constB1) | v140(constB1)))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27024,plain,
% 7.34/5.54 ((~(v169(constB1) <=> (v139(constB1) | v140(constB1)))) | v169(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27023, 27022])).
% 7.34/5.54 tff(27025,plain,
% 7.34/5.54 (v169(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27024, 26996])).
% 7.34/5.54 tff(27026,plain,
% 7.34/5.54 ((v141(constB1) | v169(constB1)) | (~v169(constB1))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27027,plain,
% 7.34/5.54 (v141(constB1) | v169(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27026, 27025])).
% 7.34/5.54 tff(27028,plain,
% 7.34/5.54 ((~(v168(constB1) <=> (v141(constB1) | v169(constB1)))) | v168(constB1) | (~(v141(constB1) | v169(constB1)))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27029,plain,
% 7.34/5.54 (v168(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27028, 27027, 26987])).
% 7.34/5.54 tff(27030,plain,
% 7.34/5.54 ((v142(constB1) | v168(constB1)) | (~v168(constB1))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27031,plain,
% 7.34/5.54 (v142(constB1) | v168(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27030, 27029])).
% 7.34/5.54 tff(27032,plain,
% 7.34/5.54 ((~(v167(constB1) <=> (v142(constB1) | v168(constB1)))) | v167(constB1) | (~(v142(constB1) | v168(constB1)))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27033,plain,
% 7.34/5.54 ((~(v167(constB1) <=> (v142(constB1) | v168(constB1)))) | v167(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27032, 27031])).
% 7.34/5.54 tff(27034,plain,
% 7.34/5.54 (v167(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27033, 26985])).
% 7.34/5.54 tff(27035,plain,
% 7.34/5.54 ((v145(constB1) | v167(constB1)) | (~v167(constB1))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27036,plain,
% 7.34/5.54 (v145(constB1) | v167(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27035, 27034])).
% 7.34/5.54 tff(27037,plain,
% 7.34/5.54 ((~(v166(constB1) <=> (v145(constB1) | v167(constB1)))) | v166(constB1) | (~(v145(constB1) | v167(constB1)))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27038,plain,
% 7.34/5.54 (v166(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27037, 27036, 26983])).
% 7.34/5.54 tff(27039,plain,
% 7.34/5.54 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB1)) | (v163(constB1) <=> v170(constB1)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB1)) | (v163(constB1) <=> v170(constB1)))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(27040,plain,
% 7.34/5.54 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB1)) | (v163(constB1) <=> v170(constB1)))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(27041,plain,
% 7.34/5.54 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB1)) | (v163(constB1) <=> v170(constB1))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[27040, 27039])).
% 7.34/5.54 tff(27042,plain,
% 7.34/5.54 ((~v166(constB1)) | (v163(constB1) <=> v170(constB1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27041, 15777])).
% 7.34/5.54 tff(27043,plain,
% 7.34/5.54 (v163(constB1) <=> v170(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27042, 27038])).
% 7.34/5.54 tff(27044,plain,
% 7.34/5.54 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v170(VarCurr))) <=> ((~v139(VarCurr)) | (~v170(VarCurr))))),
% 7.34/5.54 inference(bind,[status(th)],[])).
% 7.34/5.54 tff(27045,plain,
% 7.34/5.54 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))),
% 7.34/5.54 inference(quant_intro,[status(thm)],[27044])).
% 7.34/5.54 tff(27046,plain,
% 7.34/5.54 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(27047,plain,
% 7.34/5.54 (^[VarCurr: state_type] : trans(monotonicity(rewrite((v170(VarCurr) <=> $false) <=> (~v170(VarCurr))), ((v139(VarCurr) => (v170(VarCurr) <=> $false)) <=> (v139(VarCurr) => (~v170(VarCurr))))), rewrite((v139(VarCurr) => (~v170(VarCurr))) <=> ((~v139(VarCurr)) | (~v170(VarCurr)))), ((v139(VarCurr) => (v170(VarCurr) <=> $false)) <=> ((~v139(VarCurr)) | (~v170(VarCurr)))))),
% 7.34/5.54 inference(bind,[status(th)],[])).
% 7.34/5.54 tff(27048,plain,
% 7.34/5.54 (![VarCurr: state_type] : (v139(VarCurr) => (v170(VarCurr) <=> $false)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))),
% 7.34/5.54 inference(quant_intro,[status(thm)],[27047])).
% 7.34/5.54 tff(27049,axiom,(![VarCurr: state_type] : (v139(VarCurr) => (v170(VarCurr) <=> $false))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3')).
% 7.34/5.54 tff(27050,plain,
% 7.34/5.54 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[27049, 27048])).
% 7.34/5.54 tff(27051,plain,
% 7.34/5.54 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[27050, 27046])).
% 7.34/5.54 tff(27052,plain,(
% 7.34/5.54 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))),
% 7.34/5.54 inference(skolemize,[status(sab)],[27051])).
% 7.34/5.54 tff(27053,plain,
% 7.34/5.54 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[27052, 27045])).
% 7.34/5.54 tff(27054,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))) | ((~v139(constB1)) | (~v170(constB1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))) | (~v139(constB1)) | (~v170(constB1)))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(27055,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))) | ((~v139(constB1)) | (~v170(constB1)))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(27056,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v170(VarCurr)))) | (~v139(constB1)) | (~v170(constB1))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[27055, 27054])).
% 7.34/5.54 tff(27057,plain,
% 7.34/5.54 (~v170(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27056, 27053, 27020])).
% 7.34/5.54 tff(27058,plain,
% 7.34/5.54 ((~(v163(constB1) <=> v170(constB1))) | (~v163(constB1)) | v170(constB1)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27059,plain,
% 7.34/5.54 ((~(v163(constB1) <=> v170(constB1))) | (~v163(constB1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27058, 27057])).
% 7.34/5.54 tff(27060,plain,
% 7.34/5.54 (~v163(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27059, 27043])).
% 7.34/5.54 tff(27061,plain,
% 7.34/5.54 ((~(v161(constB1) <=> v163(constB1))) | (~v161(constB1)) | v163(constB1)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27062,plain,
% 7.34/5.54 ((~(v161(constB1) <=> v163(constB1))) | (~v161(constB1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27061, 27060])).
% 7.34/5.54 tff(27063,plain,
% 7.34/5.54 (~v161(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27062, 26981])).
% 7.34/5.54 tff(27064,plain,
% 7.34/5.54 (((~v185(constB1)) | (~v161(constB1))) | v161(constB1)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27065,plain,
% 7.34/5.54 ((~v185(constB1)) | (~v161(constB1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27064, 27063])).
% 7.34/5.54 tff(27066,plain,
% 7.34/5.54 ((~(v184(constB1) <=> (~((~v185(constB1)) | (~v161(constB1)))))) | (~v184(constB1)) | (~((~v185(constB1)) | (~v161(constB1))))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27067,plain,
% 7.34/5.54 (~v184(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27066, 27065, 26979])).
% 7.34/5.54 tff(27068,plain,
% 7.34/5.54 (((~v183(constB1)) | (~v184(constB1))) | v184(constB1)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27069,plain,
% 7.34/5.54 ((~v183(constB1)) | (~v184(constB1))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27068, 27067])).
% 7.34/5.54 tff(27070,plain,
% 7.34/5.54 ((~(v180(constB1) <=> (~((~v183(constB1)) | (~v184(constB1)))))) | (~v180(constB1)) | (~((~v183(constB1)) | (~v184(constB1))))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27071,plain,
% 7.34/5.54 (~v180(constB1)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27070, 27069, 26977])).
% 7.34/5.54 tff(27072,plain,
% 7.34/5.54 ((~(v182(constB2) <=> v180(constB1))) | (~v182(constB2)) | v180(constB1)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27073,plain,
% 7.34/5.54 (~v182(constB2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27072, 27071, 26975])).
% 7.34/5.54 tff(27074,plain,
% 7.34/5.54 ((~(v159(constB2) <=> v182(constB2))) | (~v159(constB2)) | v182(constB2)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27075,plain,
% 7.34/5.54 (~v159(constB2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27074, 27073, 26971])).
% 7.34/5.54 tff(27076,plain,
% 7.34/5.54 (((~v159(constB2)) | (~v194(constB2))) | v159(constB2)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27077,plain,
% 7.34/5.54 ((~v159(constB2)) | (~v194(constB2))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27076, 27075])).
% 7.34/5.54 tff(27078,plain,
% 7.34/5.54 ((~(v196(constB2) <=> (~((~v159(constB2)) | (~v194(constB2)))))) | (~v196(constB2)) | (~((~v159(constB2)) | (~v194(constB2))))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27079,plain,
% 7.34/5.54 (~v196(constB2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27078, 27077, 26969])).
% 7.34/5.54 tff(27080,plain,
% 7.34/5.54 ((~(v193(constB2) | v196(constB2))) | v193(constB2) | v196(constB2)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27081,plain,
% 7.34/5.54 (~(v193(constB2) | v196(constB2))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27080, 27079, 26962])).
% 7.34/5.54 tff(27082,plain,
% 7.34/5.54 ((~(v190(constB2) <=> (v193(constB2) | v196(constB2)))) | (~v190(constB2)) | (v193(constB2) | v196(constB2))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27083,plain,
% 7.34/5.54 (~v190(constB2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27082, 27081, 26834])).
% 7.34/5.54 tff(27084,plain,
% 7.34/5.54 ((~(v192(constB3) <=> v190(constB2))) | (~v192(constB3)) | v190(constB2)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27085,plain,
% 7.34/5.54 (~v192(constB3)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27084, 27083, 26832])).
% 7.34/5.54 tff(27086,plain,
% 7.34/5.54 ((~(v157(constB3) <=> v192(constB3))) | (~v157(constB3)) | v192(constB3)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27087,plain,
% 7.34/5.54 (~v157(constB3)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27086, 27085, 26828])).
% 7.34/5.54 tff(27088,plain,
% 7.34/5.54 (((~v157(constB3)) | (~v202(constB3))) | v157(constB3)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27089,plain,
% 7.34/5.54 ((~v157(constB3)) | (~v202(constB3))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27088, 27087])).
% 7.34/5.54 tff(27090,plain,
% 7.34/5.54 ((~(v201(constB3) <=> (~((~v157(constB3)) | (~v202(constB3)))))) | (~v201(constB3)) | (~((~v157(constB3)) | (~v202(constB3))))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27091,plain,
% 7.34/5.54 (~v201(constB3)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27090, 27089, 26826])).
% 7.34/5.54 tff(27092,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB3) <=> (~((~v159(constB3)) | (~v202(constB3)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB3) <=> (~((~v159(constB3)) | (~v202(constB3))))))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(27093,plain,
% 7.34/5.54 ((v205(constB3) <=> (~((~v202(constB3)) | (~v159(constB3))))) <=> (v205(constB3) <=> (~((~v159(constB3)) | (~v202(constB3)))))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(27094,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB3) <=> (~((~v202(constB3)) | (~v159(constB3)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB3) <=> (~((~v159(constB3)) | (~v202(constB3))))))),
% 7.34/5.54 inference(monotonicity,[status(thm)],[27093])).
% 7.34/5.54 tff(27095,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB3) <=> (~((~v202(constB3)) | (~v159(constB3)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB3) <=> (~((~v159(constB3)) | (~v202(constB3))))))),
% 7.34/5.54 inference(transitivity,[status(thm)],[27094, 27092])).
% 7.34/5.54 tff(27096,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB3) <=> (~((~v202(constB3)) | (~v159(constB3)))))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(27097,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB3) <=> (~((~v159(constB3)) | (~v202(constB3)))))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[27096, 27095])).
% 7.34/5.54 tff(27098,plain,
% 7.34/5.54 (v205(constB3) <=> (~((~v159(constB3)) | (~v202(constB3))))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27097, 138])).
% 7.34/5.54 tff(27099,plain,
% 7.34/5.54 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB3) <=> v182(constB3))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(27100,plain,
% 7.34/5.54 (v159(constB3) <=> v182(constB3)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27099, 15113])).
% 7.34/5.54 tff(27101,plain,
% 7.34/5.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB2, constB3)) | (v182(constB3) <=> v180(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB2, constB3)) | (v182(constB3) <=> v180(constB2)))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(27102,plain,
% 7.34/5.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB2, constB3)) | (v182(constB3) <=> v180(constB2)))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(27103,plain,
% 7.34/5.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB2, constB3)) | (v182(constB3) <=> v180(constB2))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[27102, 27101])).
% 7.34/5.54 tff(27104,plain,
% 7.34/5.54 (v182(constB3) <=> v180(constB2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27103, 4441, 15125])).
% 7.34/5.54 tff(27105,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB2) <=> (~((~v183(constB2)) | (~v184(constB2)))))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(27106,plain,
% 7.34/5.54 (v180(constB2) <=> (~((~v183(constB2)) | (~v184(constB2))))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27105, 15139])).
% 7.34/5.54 tff(27107,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB2) <=> (~((~v185(constB2)) | (~v161(constB2)))))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(27108,plain,
% 7.34/5.54 (v184(constB2) <=> (~((~v185(constB2)) | (~v161(constB2))))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27107, 15151])).
% 7.34/5.54 tff(27109,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(27110,plain,
% 7.34/5.54 (v185(constB2) <=> (~((~v39(constB2)) | (~v9(constB2))))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27109, 93])).
% 7.34/5.54 tff(27111,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB2)) <=> v1(constB2))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(27112,plain,
% 7.34/5.54 ((~v39(constB2)) <=> v1(constB2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27111, 102])).
% 7.34/5.54 tff(27113,plain,
% 7.34/5.54 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2)) | (~v1(constB2))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27114,plain,
% 7.34/5.54 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27113, 4635])).
% 7.34/5.54 tff(27115,plain,
% 7.34/5.54 (~v39(constB2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27114, 27112])).
% 7.34/5.54 tff(27116,plain,
% 7.34/5.54 (((~v39(constB2)) | (~v9(constB2))) | v39(constB2)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27117,plain,
% 7.34/5.54 ((~v39(constB2)) | (~v9(constB2))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27116, 27115])).
% 7.34/5.54 tff(27118,plain,
% 7.34/5.54 ((~(v185(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v185(constB2)) | (~((~v39(constB2)) | (~v9(constB2))))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27119,plain,
% 7.34/5.54 ((~(v185(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v185(constB2))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27118, 27117])).
% 7.34/5.54 tff(27120,plain,
% 7.34/5.54 (~v185(constB2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27119, 27110])).
% 7.34/5.54 tff(27121,plain,
% 7.34/5.54 (((~v185(constB2)) | (~v161(constB2))) | v185(constB2)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27122,plain,
% 7.34/5.54 ((~v185(constB2)) | (~v161(constB2))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27121, 27120])).
% 7.34/5.54 tff(27123,plain,
% 7.34/5.54 ((~(v184(constB2) <=> (~((~v185(constB2)) | (~v161(constB2)))))) | (~v184(constB2)) | (~((~v185(constB2)) | (~v161(constB2))))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27124,plain,
% 7.34/5.54 ((~(v184(constB2) <=> (~((~v185(constB2)) | (~v161(constB2)))))) | (~v184(constB2))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27123, 27122])).
% 7.34/5.54 tff(27125,plain,
% 7.34/5.54 (~v184(constB2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27124, 27108])).
% 7.34/5.54 tff(27126,plain,
% 7.34/5.54 (((~v183(constB2)) | (~v184(constB2))) | v184(constB2)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27127,plain,
% 7.34/5.54 ((~v183(constB2)) | (~v184(constB2))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27126, 27125])).
% 7.34/5.54 tff(27128,plain,
% 7.34/5.54 ((~(v180(constB2) <=> (~((~v183(constB2)) | (~v184(constB2)))))) | (~v180(constB2)) | (~((~v183(constB2)) | (~v184(constB2))))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27129,plain,
% 7.34/5.54 (~v180(constB2)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27128, 27127, 27106])).
% 7.34/5.54 tff(27130,plain,
% 7.34/5.54 ((~(v182(constB3) <=> v180(constB2))) | (~v182(constB3)) | v180(constB2)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27131,plain,
% 7.34/5.54 (~v182(constB3)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27130, 27129, 27104])).
% 7.34/5.54 tff(27132,plain,
% 7.34/5.54 ((~(v159(constB3) <=> v182(constB3))) | (~v159(constB3)) | v182(constB3)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27133,plain,
% 7.34/5.54 (~v159(constB3)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27132, 27131, 27100])).
% 7.34/5.54 tff(27134,plain,
% 7.34/5.54 (((~v159(constB3)) | (~v202(constB3))) | v159(constB3)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27135,plain,
% 7.34/5.54 ((~v159(constB3)) | (~v202(constB3))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27134, 27133])).
% 7.34/5.54 tff(27136,plain,
% 7.34/5.54 ((~(v205(constB3) <=> (~((~v159(constB3)) | (~v202(constB3)))))) | (~v205(constB3)) | (~((~v159(constB3)) | (~v202(constB3))))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27137,plain,
% 7.34/5.54 (~v205(constB3)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27136, 27135, 27098])).
% 7.34/5.54 tff(27138,plain,
% 7.34/5.54 ((~(v201(constB3) | v205(constB3))) | v201(constB3) | v205(constB3)),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27139,plain,
% 7.34/5.54 ((~(v201(constB3) | v205(constB3))) | v201(constB3)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27138, 27137])).
% 7.34/5.54 tff(27140,plain,
% 7.34/5.54 (~(v201(constB3) | v205(constB3))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27139, 27091])).
% 7.34/5.54 tff(27141,plain,
% 7.34/5.54 ((~(v200(constB3) <=> (v201(constB3) | v205(constB3)))) | (~v200(constB3)) | (v201(constB3) | v205(constB3))),
% 7.34/5.54 inference(tautology,[status(thm)],[])).
% 7.34/5.54 tff(27142,plain,
% 7.34/5.54 (~v200(constB3)),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27141, 27140, 26819])).
% 7.34/5.54 tff(27143,plain,
% 7.34/5.54 ($false),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27142, 26817])).
% 7.34/5.54 tff(27144,plain,(~(constB3 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.34/5.54 tff(27145,assumption,(constB52 = VarCurr!0), introduced(assumption)).
% 7.34/5.54 tff(27146,plain,
% 7.34/5.54 (v200(constB52) <=> v200(VarCurr!0)),
% 7.34/5.54 inference(monotonicity,[status(thm)],[27145])).
% 7.34/5.54 tff(27147,plain,
% 7.34/5.54 (v200(VarCurr!0) <=> v200(constB52)),
% 7.34/5.54 inference(symmetry,[status(thm)],[27146])).
% 7.34/5.54 tff(27148,plain,
% 7.34/5.54 (v200(constB52)),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[27, 27147])).
% 7.34/5.54 tff(27149,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB52) <=> (v201(constB52) | v205(constB52)))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(27150,plain,
% 7.34/5.54 (v200(constB52) <=> (v201(constB52) | v205(constB52))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27149, 35])).
% 7.34/5.54 tff(27151,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB52) <=> (~((~v157(constB52)) | (~v202(constB52)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB52) <=> (~((~v157(constB52)) | (~v202(constB52))))))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(27152,plain,
% 7.34/5.54 ((v201(constB52) <=> (~((~v202(constB52)) | (~v157(constB52))))) <=> (v201(constB52) <=> (~((~v157(constB52)) | (~v202(constB52)))))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(27153,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB52) <=> (~((~v202(constB52)) | (~v157(constB52)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB52) <=> (~((~v157(constB52)) | (~v202(constB52))))))),
% 7.34/5.54 inference(monotonicity,[status(thm)],[27152])).
% 7.34/5.54 tff(27154,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB52) <=> (~((~v202(constB52)) | (~v157(constB52)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB52) <=> (~((~v157(constB52)) | (~v202(constB52))))))),
% 7.34/5.54 inference(transitivity,[status(thm)],[27153, 27151])).
% 7.34/5.54 tff(27155,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB52) <=> (~((~v202(constB52)) | (~v157(constB52)))))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(27156,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB52) <=> (~((~v157(constB52)) | (~v202(constB52)))))),
% 7.34/5.54 inference(modus_ponens,[status(thm)],[27155, 27154])).
% 7.34/5.54 tff(27157,plain,
% 7.34/5.54 (v201(constB52) <=> (~((~v157(constB52)) | (~v202(constB52))))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27156, 47])).
% 7.34/5.54 tff(27158,plain,
% 7.34/5.54 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB52) <=> (~((~v183(constB52)) | (~v203(constB52)))))),
% 7.34/5.54 inference(quant_inst,[status(thm)],[])).
% 7.34/5.54 tff(27159,plain,
% 7.34/5.54 (v202(constB52) <=> (~((~v183(constB52)) | (~v203(constB52))))),
% 7.34/5.54 inference(unit_resolution,[status(thm)],[27158, 64])).
% 7.34/5.54 tff(27160,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB52) <=> (~((~v185(constB52)) | (~v204(constB52)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB52) <=> (~((~v185(constB52)) | (~v204(constB52))))))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(27161,plain,
% 7.34/5.54 ((v203(constB52) <=> (~((~v204(constB52)) | (~v185(constB52))))) <=> (v203(constB52) <=> (~((~v185(constB52)) | (~v204(constB52)))))),
% 7.34/5.54 inference(rewrite,[status(thm)],[])).
% 7.34/5.54 tff(27162,plain,
% 7.34/5.54 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB52) <=> (~((~v204(constB52)) | (~v185(constB52)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB52) <=> (~((~v185(constB52)) | (~v204(constB52))))))),
% 7.34/5.54 inference(monotonicity,[status(thm)],[27161])).
% 7.34/5.55 tff(27163,plain,
% 7.34/5.55 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB52) <=> (~((~v204(constB52)) | (~v185(constB52)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB52) <=> (~((~v185(constB52)) | (~v204(constB52))))))),
% 7.34/5.55 inference(transitivity,[status(thm)],[27162, 27160])).
% 7.34/5.55 tff(27164,plain,
% 7.34/5.55 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB52) <=> (~((~v204(constB52)) | (~v185(constB52)))))),
% 7.34/5.55 inference(quant_inst,[status(thm)],[])).
% 7.34/5.55 tff(27165,plain,
% 7.34/5.55 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB52) <=> (~((~v185(constB52)) | (~v204(constB52)))))),
% 7.34/5.55 inference(modus_ponens,[status(thm)],[27164, 27163])).
% 7.34/5.55 tff(27166,plain,
% 7.34/5.55 (v203(constB52) <=> (~((~v185(constB52)) | (~v204(constB52))))),
% 7.34/5.55 inference(unit_resolution,[status(thm)],[27165, 76])).
% 7.34/5.55 tff(27167,plain,
% 7.34/5.55 (((~v185(constB52)) | (~v204(constB52))) | v185(constB52)),
% 7.34/5.55 inference(tautology,[status(thm)],[])).
% 7.34/5.55 tff(27168,plain,
% 7.34/5.55 ((~v185(constB52)) | (~v204(constB52))),
% 7.34/5.55 inference(unit_resolution,[status(thm)],[27167, 25419])).
% 7.34/5.55 tff(27169,plain,
% 7.34/5.55 ((~(v203(constB52) <=> (~((~v185(constB52)) | (~v204(constB52)))))) | (~v203(constB52)) | (~((~v185(constB52)) | (~v204(constB52))))),
% 7.34/5.55 inference(tautology,[status(thm)],[])).
% 7.34/5.55 tff(27170,plain,
% 7.34/5.55 ((~(v203(constB52) <=> (~((~v185(constB52)) | (~v204(constB52)))))) | (~v203(constB52))),
% 7.34/5.55 inference(unit_resolution,[status(thm)],[27169, 27168])).
% 7.34/5.55 tff(27171,plain,
% 7.34/5.55 (~v203(constB52)),
% 7.34/5.55 inference(unit_resolution,[status(thm)],[27170, 27166])).
% 7.34/5.55 tff(27172,plain,
% 7.34/5.55 (((~v183(constB52)) | (~v203(constB52))) | v203(constB52)),
% 7.34/5.55 inference(tautology,[status(thm)],[])).
% 7.34/5.55 tff(27173,plain,
% 7.34/5.55 ((~v183(constB52)) | (~v203(constB52))),
% 7.34/5.55 inference(unit_resolution,[status(thm)],[27172, 27171])).
% 7.34/5.55 tff(27174,plain,
% 7.34/5.55 ((~(v202(constB52) <=> (~((~v183(constB52)) | (~v203(constB52)))))) | (~v202(constB52)) | (~((~v183(constB52)) | (~v203(constB52))))),
% 7.34/5.55 inference(tautology,[status(thm)],[])).
% 7.34/5.55 tff(27175,plain,
% 7.34/5.55 (~v202(constB52)),
% 7.34/5.55 inference(unit_resolution,[status(thm)],[27174, 27173, 27159])).
% 7.34/5.55 tff(27176,plain,
% 7.34/5.55 (((~v157(constB52)) | (~v202(constB52))) | v202(constB52)),
% 7.34/5.55 inference(tautology,[status(thm)],[])).
% 7.34/5.55 tff(27177,plain,
% 7.34/5.55 ((~v157(constB52)) | (~v202(constB52))),
% 7.34/5.55 inference(unit_resolution,[status(thm)],[27176, 27175])).
% 7.34/5.55 tff(27178,plain,
% 7.34/5.55 ((~(v201(constB52) <=> (~((~v157(constB52)) | (~v202(constB52)))))) | (~v201(constB52)) | (~((~v157(constB52)) | (~v202(constB52))))),
% 7.34/5.55 inference(tautology,[status(thm)],[])).
% 7.34/5.55 tff(27179,plain,
% 7.34/5.55 (~v201(constB52)),
% 7.34/5.55 inference(unit_resolution,[status(thm)],[27178, 27177, 27157])).
% 7.34/5.55 tff(27180,plain,
% 7.34/5.55 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB52) <=> (~((~v159(constB52)) | (~v202(constB52)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB52) <=> (~((~v159(constB52)) | (~v202(constB52))))))),
% 7.34/5.55 inference(rewrite,[status(thm)],[])).
% 7.34/5.55 tff(27181,plain,
% 7.34/5.55 ((v205(constB52) <=> (~((~v202(constB52)) | (~v159(constB52))))) <=> (v205(constB52) <=> (~((~v159(constB52)) | (~v202(constB52)))))),
% 7.34/5.55 inference(rewrite,[status(thm)],[])).
% 7.34/5.55 tff(27182,plain,
% 7.34/5.55 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB52) <=> (~((~v202(constB52)) | (~v159(constB52)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB52) <=> (~((~v159(constB52)) | (~v202(constB52))))))),
% 7.34/5.55 inference(monotonicity,[status(thm)],[27181])).
% 7.34/5.55 tff(27183,plain,
% 7.34/5.55 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB52) <=> (~((~v202(constB52)) | (~v159(constB52)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB52) <=> (~((~v159(constB52)) | (~v202(constB52))))))),
% 7.34/5.55 inference(transitivity,[status(thm)],[27182, 27180])).
% 7.34/5.55 tff(27184,plain,
% 7.34/5.55 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB52) <=> (~((~v202(constB52)) | (~v159(constB52)))))),
% 7.34/5.55 inference(quant_inst,[status(thm)],[])).
% 7.34/5.55 tff(27185,plain,
% 7.34/5.55 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB52) <=> (~((~v159(constB52)) | (~v202(constB52)))))),
% 7.34/5.55 inference(modus_ponens,[status(thm)],[27184, 27183])).
% 7.34/5.55 tff(27186,plain,
% 7.34/5.55 (v205(constB52) <=> (~((~v159(constB52)) | (~v202(constB52))))),
% 7.34/5.55 inference(unit_resolution,[status(thm)],[27185, 138])).
% 7.34/5.55 tff(27187,plain,
% 7.34/5.55 (((~v159(constB52)) | (~v202(constB52))) | v202(constB52)),
% 7.34/5.55 inference(tautology,[status(thm)],[])).
% 7.34/5.55 tff(27188,plain,
% 7.34/5.55 ((~v159(constB52)) | (~v202(constB52))),
% 7.34/5.55 inference(unit_resolution,[status(thm)],[27187, 27175])).
% 7.34/5.55 tff(27189,plain,
% 7.34/5.55 ((~(v205(constB52) <=> (~((~v159(constB52)) | (~v202(constB52)))))) | (~v205(constB52)) | (~((~v159(constB52)) | (~v202(constB52))))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27190,plain,
% 7.36/5.55 (~v205(constB52)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27189, 27188, 27186])).
% 7.36/5.55 tff(27191,plain,
% 7.36/5.55 ((~(v201(constB52) | v205(constB52))) | v201(constB52) | v205(constB52)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27192,plain,
% 7.36/5.55 (~(v201(constB52) | v205(constB52))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27191, 27190, 27179])).
% 7.36/5.55 tff(27193,plain,
% 7.36/5.55 ((~(v200(constB52) <=> (v201(constB52) | v205(constB52)))) | (~v200(constB52)) | (v201(constB52) | v205(constB52))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27194,plain,
% 7.36/5.55 ((~(v200(constB52) <=> (v201(constB52) | v205(constB52)))) | (~v200(constB52))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27193, 27192])).
% 7.36/5.55 tff(27195,plain,
% 7.36/5.55 (~v200(constB52)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27194, 27150])).
% 7.36/5.55 tff(27196,plain,
% 7.36/5.55 ($false),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27195, 27148])).
% 7.36/5.55 tff(27197,plain,(~(constB52 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.36/5.55 tff(27198,assumption,(constB134 = VarCurr!0), introduced(assumption)).
% 7.36/5.55 tff(27199,plain,
% 7.36/5.55 (v200(constB134) <=> v200(VarCurr!0)),
% 7.36/5.55 inference(monotonicity,[status(thm)],[27198])).
% 7.36/5.55 tff(27200,plain,
% 7.36/5.55 (v200(VarCurr!0) <=> v200(constB134)),
% 7.36/5.55 inference(symmetry,[status(thm)],[27199])).
% 7.36/5.55 tff(27201,plain,
% 7.36/5.55 (v200(constB134)),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[27, 27200])).
% 7.36/5.55 tff(27202,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB134) <=> (v201(constB134) | v205(constB134)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27203,plain,
% 7.36/5.55 (v200(constB134) <=> (v201(constB134) | v205(constB134))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27202, 35])).
% 7.36/5.55 tff(27204,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB134) <=> (~((~v157(constB134)) | (~v202(constB134)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB134) <=> (~((~v157(constB134)) | (~v202(constB134))))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27205,plain,
% 7.36/5.55 ((v201(constB134) <=> (~((~v202(constB134)) | (~v157(constB134))))) <=> (v201(constB134) <=> (~((~v157(constB134)) | (~v202(constB134)))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27206,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB134) <=> (~((~v202(constB134)) | (~v157(constB134)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB134) <=> (~((~v157(constB134)) | (~v202(constB134))))))),
% 7.36/5.55 inference(monotonicity,[status(thm)],[27205])).
% 7.36/5.55 tff(27207,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB134) <=> (~((~v202(constB134)) | (~v157(constB134)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB134) <=> (~((~v157(constB134)) | (~v202(constB134))))))),
% 7.36/5.55 inference(transitivity,[status(thm)],[27206, 27204])).
% 7.36/5.55 tff(27208,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB134) <=> (~((~v202(constB134)) | (~v157(constB134)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27209,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB134) <=> (~((~v157(constB134)) | (~v202(constB134)))))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[27208, 27207])).
% 7.36/5.55 tff(27210,plain,
% 7.36/5.55 (v201(constB134) <=> (~((~v157(constB134)) | (~v202(constB134))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27209, 47])).
% 7.36/5.55 tff(27211,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB134) <=> (~((~v183(constB134)) | (~v203(constB134)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27212,plain,
% 7.36/5.55 (v202(constB134) <=> (~((~v183(constB134)) | (~v203(constB134))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27211, 64])).
% 7.36/5.55 tff(27213,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB134) <=> (~((~v185(constB134)) | (~v204(constB134)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB134) <=> (~((~v185(constB134)) | (~v204(constB134))))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27214,plain,
% 7.36/5.55 ((v203(constB134) <=> (~((~v204(constB134)) | (~v185(constB134))))) <=> (v203(constB134) <=> (~((~v185(constB134)) | (~v204(constB134)))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27215,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB134) <=> (~((~v204(constB134)) | (~v185(constB134)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB134) <=> (~((~v185(constB134)) | (~v204(constB134))))))),
% 7.36/5.55 inference(monotonicity,[status(thm)],[27214])).
% 7.36/5.55 tff(27216,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB134) <=> (~((~v204(constB134)) | (~v185(constB134)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB134) <=> (~((~v185(constB134)) | (~v204(constB134))))))),
% 7.36/5.55 inference(transitivity,[status(thm)],[27215, 27213])).
% 7.36/5.55 tff(27217,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB134) <=> (~((~v204(constB134)) | (~v185(constB134)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27218,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB134) <=> (~((~v185(constB134)) | (~v204(constB134)))))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[27217, 27216])).
% 7.36/5.55 tff(27219,plain,
% 7.36/5.55 (v203(constB134) <=> (~((~v185(constB134)) | (~v204(constB134))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27218, 76])).
% 7.36/5.55 tff(27220,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB134) <=> (~((~v39(constB134)) | (~v9(constB134)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27221,plain,
% 7.36/5.55 (v185(constB134) <=> (~((~v39(constB134)) | (~v9(constB134))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27220, 93])).
% 7.36/5.55 tff(27222,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB134)) <=> v1(constB134))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27223,plain,
% 7.36/5.55 ((~v39(constB134)) <=> v1(constB134)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27222, 102])).
% 7.36/5.55 tff(27224,plain,
% 7.36/5.55 ((~((~v39(constB134)) <=> v1(constB134))) | (~v39(constB134)) | (~v1(constB134))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27225,plain,
% 7.36/5.55 ((~((~v39(constB134)) <=> v1(constB134))) | (~v39(constB134))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27224, 18931])).
% 7.36/5.55 tff(27226,plain,
% 7.36/5.55 (~v39(constB134)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27225, 27223])).
% 7.36/5.55 tff(27227,plain,
% 7.36/5.55 (((~v39(constB134)) | (~v9(constB134))) | v39(constB134)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27228,plain,
% 7.36/5.55 ((~v39(constB134)) | (~v9(constB134))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27227, 27226])).
% 7.36/5.55 tff(27229,plain,
% 7.36/5.55 ((~(v185(constB134) <=> (~((~v39(constB134)) | (~v9(constB134)))))) | (~v185(constB134)) | (~((~v39(constB134)) | (~v9(constB134))))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27230,plain,
% 7.36/5.55 ((~(v185(constB134) <=> (~((~v39(constB134)) | (~v9(constB134)))))) | (~v185(constB134))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27229, 27228])).
% 7.36/5.55 tff(27231,plain,
% 7.36/5.55 (~v185(constB134)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27230, 27221])).
% 7.36/5.55 tff(27232,plain,
% 7.36/5.55 (((~v185(constB134)) | (~v204(constB134))) | v185(constB134)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27233,plain,
% 7.36/5.55 ((~v185(constB134)) | (~v204(constB134))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27232, 27231])).
% 7.36/5.55 tff(27234,plain,
% 7.36/5.55 ((~(v203(constB134) <=> (~((~v185(constB134)) | (~v204(constB134)))))) | (~v203(constB134)) | (~((~v185(constB134)) | (~v204(constB134))))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27235,plain,
% 7.36/5.55 ((~(v203(constB134) <=> (~((~v185(constB134)) | (~v204(constB134)))))) | (~v203(constB134))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27234, 27233])).
% 7.36/5.55 tff(27236,plain,
% 7.36/5.55 (~v203(constB134)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27235, 27219])).
% 7.36/5.55 tff(27237,plain,
% 7.36/5.55 (((~v183(constB134)) | (~v203(constB134))) | v203(constB134)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27238,plain,
% 7.36/5.55 ((~v183(constB134)) | (~v203(constB134))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27237, 27236])).
% 7.36/5.55 tff(27239,plain,
% 7.36/5.55 ((~(v202(constB134) <=> (~((~v183(constB134)) | (~v203(constB134)))))) | (~v202(constB134)) | (~((~v183(constB134)) | (~v203(constB134))))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27240,plain,
% 7.36/5.55 (~v202(constB134)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27239, 27238, 27212])).
% 7.36/5.55 tff(27241,plain,
% 7.36/5.55 (((~v157(constB134)) | (~v202(constB134))) | v202(constB134)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27242,plain,
% 7.36/5.55 ((~v157(constB134)) | (~v202(constB134))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27241, 27240])).
% 7.36/5.55 tff(27243,plain,
% 7.36/5.55 ((~(v201(constB134) <=> (~((~v157(constB134)) | (~v202(constB134)))))) | (~v201(constB134)) | (~((~v157(constB134)) | (~v202(constB134))))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27244,plain,
% 7.36/5.55 (~v201(constB134)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27243, 27242, 27210])).
% 7.36/5.55 tff(27245,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB134) <=> (~((~v159(constB134)) | (~v202(constB134)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB134) <=> (~((~v159(constB134)) | (~v202(constB134))))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27246,plain,
% 7.36/5.55 ((v205(constB134) <=> (~((~v202(constB134)) | (~v159(constB134))))) <=> (v205(constB134) <=> (~((~v159(constB134)) | (~v202(constB134)))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27247,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB134) <=> (~((~v202(constB134)) | (~v159(constB134)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB134) <=> (~((~v159(constB134)) | (~v202(constB134))))))),
% 7.36/5.55 inference(monotonicity,[status(thm)],[27246])).
% 7.36/5.55 tff(27248,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB134) <=> (~((~v202(constB134)) | (~v159(constB134)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB134) <=> (~((~v159(constB134)) | (~v202(constB134))))))),
% 7.36/5.55 inference(transitivity,[status(thm)],[27247, 27245])).
% 7.36/5.55 tff(27249,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB134) <=> (~((~v202(constB134)) | (~v159(constB134)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27250,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB134) <=> (~((~v159(constB134)) | (~v202(constB134)))))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[27249, 27248])).
% 7.36/5.55 tff(27251,plain,
% 7.36/5.55 (v205(constB134) <=> (~((~v159(constB134)) | (~v202(constB134))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27250, 138])).
% 7.36/5.55 tff(27252,plain,
% 7.36/5.55 (((~v159(constB134)) | (~v202(constB134))) | v202(constB134)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27253,plain,
% 7.36/5.55 ((~v159(constB134)) | (~v202(constB134))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27252, 27240])).
% 7.36/5.55 tff(27254,plain,
% 7.36/5.55 ((~(v205(constB134) <=> (~((~v159(constB134)) | (~v202(constB134)))))) | (~v205(constB134)) | (~((~v159(constB134)) | (~v202(constB134))))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27255,plain,
% 7.36/5.55 (~v205(constB134)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27254, 27253, 27251])).
% 7.36/5.55 tff(27256,plain,
% 7.36/5.55 ((~(v201(constB134) | v205(constB134))) | v201(constB134) | v205(constB134)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27257,plain,
% 7.36/5.55 (~(v201(constB134) | v205(constB134))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27256, 27255, 27244])).
% 7.36/5.55 tff(27258,plain,
% 7.36/5.55 ((~(v200(constB134) <=> (v201(constB134) | v205(constB134)))) | (~v200(constB134)) | (v201(constB134) | v205(constB134))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27259,plain,
% 7.36/5.55 ((~(v200(constB134) <=> (v201(constB134) | v205(constB134)))) | (~v200(constB134))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27258, 27257])).
% 7.36/5.55 tff(27260,plain,
% 7.36/5.55 (~v200(constB134)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27259, 27203])).
% 7.36/5.55 tff(27261,plain,
% 7.36/5.55 ($false),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27260, 27201])).
% 7.36/5.55 tff(27262,plain,(~(constB134 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.36/5.55 tff(27263,assumption,(constB63 = VarCurr!0), introduced(assumption)).
% 7.36/5.55 tff(27264,plain,
% 7.36/5.55 (v200(constB63) <=> v200(VarCurr!0)),
% 7.36/5.55 inference(monotonicity,[status(thm)],[27263])).
% 7.36/5.55 tff(27265,plain,
% 7.36/5.55 (v200(VarCurr!0) <=> v200(constB63)),
% 7.36/5.55 inference(symmetry,[status(thm)],[27264])).
% 7.36/5.55 tff(27266,plain,
% 7.36/5.55 (v200(constB63)),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[27, 27265])).
% 7.36/5.55 tff(27267,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB63) <=> (v201(constB63) | v205(constB63)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27268,plain,
% 7.36/5.55 (v200(constB63) <=> (v201(constB63) | v205(constB63))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27267, 35])).
% 7.36/5.55 tff(27269,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB63) <=> (~((~v157(constB63)) | (~v202(constB63)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB63) <=> (~((~v157(constB63)) | (~v202(constB63))))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27270,plain,
% 7.36/5.55 ((v201(constB63) <=> (~((~v202(constB63)) | (~v157(constB63))))) <=> (v201(constB63) <=> (~((~v157(constB63)) | (~v202(constB63)))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27271,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB63) <=> (~((~v202(constB63)) | (~v157(constB63)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB63) <=> (~((~v157(constB63)) | (~v202(constB63))))))),
% 7.36/5.55 inference(monotonicity,[status(thm)],[27270])).
% 7.36/5.55 tff(27272,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB63) <=> (~((~v202(constB63)) | (~v157(constB63)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB63) <=> (~((~v157(constB63)) | (~v202(constB63))))))),
% 7.36/5.55 inference(transitivity,[status(thm)],[27271, 27269])).
% 7.36/5.55 tff(27273,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB63) <=> (~((~v202(constB63)) | (~v157(constB63)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27274,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB63) <=> (~((~v157(constB63)) | (~v202(constB63)))))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[27273, 27272])).
% 7.36/5.55 tff(27275,plain,
% 7.36/5.55 (v201(constB63) <=> (~((~v157(constB63)) | (~v202(constB63))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27274, 47])).
% 7.36/5.55 tff(27276,plain,
% 7.36/5.55 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB63) <=> v192(constB63))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27277,plain,
% 7.36/5.55 (v157(constB63) <=> v192(constB63)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27276, 15407])).
% 7.36/5.55 tff(27278,plain,
% 7.36/5.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB62, constB63)) | (v192(constB63) <=> v190(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB62, constB63)) | (v192(constB63) <=> v190(constB62)))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27279,plain,
% 7.36/5.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB62, constB63)) | (v192(constB63) <=> v190(constB62)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27280,plain,
% 7.36/5.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB62, constB63)) | (v192(constB63) <=> v190(constB62))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[27279, 27278])).
% 7.36/5.55 tff(27281,plain,
% 7.36/5.55 (v192(constB63) <=> v190(constB62)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27280, 2521, 15419])).
% 7.36/5.55 tff(27282,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB62) <=> (v193(constB62) | v196(constB62)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27283,plain,
% 7.36/5.55 (v190(constB62) <=> (v193(constB62) | v196(constB62))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27282, 15430])).
% 7.36/5.55 tff(27284,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB62) <=> (~((~v157(constB62)) | (~v194(constB62)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB62) <=> (~((~v157(constB62)) | (~v194(constB62))))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27285,plain,
% 7.36/5.55 ((v193(constB62) <=> (~((~v194(constB62)) | (~v157(constB62))))) <=> (v193(constB62) <=> (~((~v157(constB62)) | (~v194(constB62)))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27286,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB62) <=> (~((~v194(constB62)) | (~v157(constB62)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB62) <=> (~((~v157(constB62)) | (~v194(constB62))))))),
% 7.36/5.55 inference(monotonicity,[status(thm)],[27285])).
% 7.36/5.55 tff(27287,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB62) <=> (~((~v194(constB62)) | (~v157(constB62)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB62) <=> (~((~v157(constB62)) | (~v194(constB62))))))),
% 7.36/5.55 inference(transitivity,[status(thm)],[27286, 27284])).
% 7.36/5.55 tff(27288,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB62) <=> (~((~v194(constB62)) | (~v157(constB62)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27289,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB62) <=> (~((~v157(constB62)) | (~v194(constB62)))))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[27288, 27287])).
% 7.36/5.55 tff(27290,plain,
% 7.36/5.55 (v193(constB62) <=> (~((~v157(constB62)) | (~v194(constB62))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27289, 15442])).
% 7.36/5.55 tff(27291,plain,
% 7.36/5.55 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB62) <=> v192(constB62))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27292,plain,
% 7.36/5.55 (v157(constB62) <=> v192(constB62)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27291, 15407])).
% 7.36/5.55 tff(27293,plain,
% 7.36/5.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB61, constB62)) | (v192(constB62) <=> v190(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB61, constB62)) | (v192(constB62) <=> v190(constB61)))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27294,plain,
% 7.36/5.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB61, constB62)) | (v192(constB62) <=> v190(constB61)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27295,plain,
% 7.36/5.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB61, constB62)) | (v192(constB62) <=> v190(constB61))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[27294, 27293])).
% 7.36/5.55 tff(27296,plain,
% 7.36/5.55 (v192(constB62) <=> v190(constB61)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27295, 2557, 15419])).
% 7.36/5.55 tff(27297,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB61) <=> (v193(constB61) | v196(constB61)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27298,plain,
% 7.36/5.55 (v190(constB61) <=> (v193(constB61) | v196(constB61))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27297, 15430])).
% 7.36/5.55 tff(27299,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB61) <=> (~((~v159(constB61)) | (~v194(constB61)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB61) <=> (~((~v159(constB61)) | (~v194(constB61))))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27300,plain,
% 7.36/5.55 ((v196(constB61) <=> (~((~v194(constB61)) | (~v159(constB61))))) <=> (v196(constB61) <=> (~((~v159(constB61)) | (~v194(constB61)))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27301,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB61) <=> (~((~v194(constB61)) | (~v159(constB61)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB61) <=> (~((~v159(constB61)) | (~v194(constB61))))))),
% 7.36/5.55 inference(monotonicity,[status(thm)],[27300])).
% 7.36/5.55 tff(27302,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB61) <=> (~((~v194(constB61)) | (~v159(constB61)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB61) <=> (~((~v159(constB61)) | (~v194(constB61))))))),
% 7.36/5.55 inference(transitivity,[status(thm)],[27301, 27299])).
% 7.36/5.55 tff(27303,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB61) <=> (~((~v194(constB61)) | (~v159(constB61)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27304,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB61) <=> (~((~v159(constB61)) | (~v194(constB61)))))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[27303, 27302])).
% 7.36/5.55 tff(27305,plain,
% 7.36/5.55 (v196(constB61) <=> (~((~v159(constB61)) | (~v194(constB61))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27304, 15467])).
% 7.36/5.55 tff(27306,plain,
% 7.36/5.55 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB61) <=> v182(constB61))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27307,plain,
% 7.36/5.55 (v159(constB61) <=> v182(constB61)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27306, 15113])).
% 7.36/5.55 tff(27308,plain,
% 7.36/5.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB60, constB61)) | (v182(constB61) <=> v180(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB60, constB61)) | (v182(constB61) <=> v180(constB60)))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27309,plain,
% 7.36/5.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB60, constB61)) | (v182(constB61) <=> v180(constB60)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27310,plain,
% 7.36/5.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB60, constB61)) | (v182(constB61) <=> v180(constB60))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[27309, 27308])).
% 7.36/5.55 tff(27311,plain,
% 7.36/5.55 (v182(constB61) <=> v180(constB60)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27310, 2587, 15125])).
% 7.36/5.55 tff(27312,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB60) <=> (~((~v183(constB60)) | (~v184(constB60)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27313,plain,
% 7.36/5.55 (v180(constB60) <=> (~((~v183(constB60)) | (~v184(constB60))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27312, 15139])).
% 7.36/5.55 tff(27314,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB60) <=> (~((~v185(constB60)) | (~v161(constB60)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27315,plain,
% 7.36/5.55 (v184(constB60) <=> (~((~v185(constB60)) | (~v161(constB60))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27314, 15151])).
% 7.36/5.55 tff(27316,plain,
% 7.36/5.55 (((~v185(constB60)) | (~v161(constB60))) | v185(constB60)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27317,plain,
% 7.36/5.55 ((~v185(constB60)) | (~v161(constB60))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27316, 24023])).
% 7.36/5.55 tff(27318,plain,
% 7.36/5.55 ((~(v184(constB60) <=> (~((~v185(constB60)) | (~v161(constB60)))))) | (~v184(constB60)) | (~((~v185(constB60)) | (~v161(constB60))))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27319,plain,
% 7.36/5.55 ((~(v184(constB60) <=> (~((~v185(constB60)) | (~v161(constB60)))))) | (~v184(constB60))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27318, 27317])).
% 7.36/5.55 tff(27320,plain,
% 7.36/5.55 (~v184(constB60)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27319, 27315])).
% 7.36/5.55 tff(27321,plain,
% 7.36/5.55 (((~v183(constB60)) | (~v184(constB60))) | v184(constB60)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27322,plain,
% 7.36/5.55 ((~v183(constB60)) | (~v184(constB60))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27321, 27320])).
% 7.36/5.55 tff(27323,plain,
% 7.36/5.55 ((~(v180(constB60) <=> (~((~v183(constB60)) | (~v184(constB60)))))) | (~v180(constB60)) | (~((~v183(constB60)) | (~v184(constB60))))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27324,plain,
% 7.36/5.55 (~v180(constB60)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27323, 27322, 27313])).
% 7.36/5.55 tff(27325,plain,
% 7.36/5.55 ((~(v182(constB61) <=> v180(constB60))) | (~v182(constB61)) | v180(constB60)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27326,plain,
% 7.36/5.55 (~v182(constB61)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27325, 27324, 27311])).
% 7.36/5.55 tff(27327,plain,
% 7.36/5.55 ((~(v159(constB61) <=> v182(constB61))) | (~v159(constB61)) | v182(constB61)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27328,plain,
% 7.36/5.55 (~v159(constB61)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27327, 27326, 27307])).
% 7.36/5.55 tff(27329,plain,
% 7.36/5.55 (((~v159(constB61)) | (~v194(constB61))) | v159(constB61)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27330,plain,
% 7.36/5.55 ((~v159(constB61)) | (~v194(constB61))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27329, 27328])).
% 7.36/5.55 tff(27331,plain,
% 7.36/5.55 ((~(v196(constB61) <=> (~((~v159(constB61)) | (~v194(constB61)))))) | (~v196(constB61)) | (~((~v159(constB61)) | (~v194(constB61))))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27332,plain,
% 7.36/5.55 (~v196(constB61)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27331, 27330, 27305])).
% 7.36/5.55 tff(27333,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB61) <=> (~((~v157(constB61)) | (~v194(constB61)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB61) <=> (~((~v157(constB61)) | (~v194(constB61))))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27334,plain,
% 7.36/5.55 ((v193(constB61) <=> (~((~v194(constB61)) | (~v157(constB61))))) <=> (v193(constB61) <=> (~((~v157(constB61)) | (~v194(constB61)))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27335,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB61) <=> (~((~v194(constB61)) | (~v157(constB61)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB61) <=> (~((~v157(constB61)) | (~v194(constB61))))))),
% 7.36/5.55 inference(monotonicity,[status(thm)],[27334])).
% 7.36/5.55 tff(27336,plain,
% 7.36/5.55 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB61) <=> (~((~v194(constB61)) | (~v157(constB61)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB61) <=> (~((~v157(constB61)) | (~v194(constB61))))))),
% 7.36/5.55 inference(transitivity,[status(thm)],[27335, 27333])).
% 7.36/5.55 tff(27337,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB61) <=> (~((~v194(constB61)) | (~v157(constB61)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27338,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB61) <=> (~((~v157(constB61)) | (~v194(constB61)))))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[27337, 27336])).
% 7.36/5.55 tff(27339,plain,
% 7.36/5.55 (v193(constB61) <=> (~((~v157(constB61)) | (~v194(constB61))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27338, 15442])).
% 7.36/5.55 tff(27340,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB61)) <=> v195(constB61))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27341,plain,
% 7.36/5.55 ((~v194(constB61)) <=> v195(constB61)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27340, 15527])).
% 7.36/5.55 tff(27342,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB61) <=> (v185(constB61) | v26(constB61)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27343,plain,
% 7.36/5.55 (v195(constB61) <=> (v185(constB61) | v26(constB61))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27342, 15536])).
% 7.36/5.55 tff(27344,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB61) <=> (~((~v39(constB61)) | (~v9(constB61)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27345,plain,
% 7.36/5.55 (v185(constB61) <=> (~((~v39(constB61)) | (~v9(constB61))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27344, 93])).
% 7.36/5.55 tff(27346,plain,
% 7.36/5.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61)))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(27347,plain,
% 7.36/5.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27348,plain,
% 7.36/5.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[27347, 27346])).
% 7.36/5.55 tff(27349,plain,
% 7.36/5.55 (v13(constB62) <=> v9(constB61)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27348, 2557, 15550])).
% 7.36/5.55 tff(27350,plain,
% 7.36/5.55 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB62) <=> v13(constB62))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27351,plain,
% 7.36/5.55 (v6(constB62) <=> v13(constB62)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27350, 15564])).
% 7.36/5.55 tff(27352,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB62)) <=> v6(constB62))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27353,plain,
% 7.36/5.55 ((~v21(constB62)) <=> v6(constB62)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27352, 15573])).
% 7.36/5.55 tff(27354,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB62) <=> (v20(constB62) | v21(constB62)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27355,plain,
% 7.36/5.55 (v19(constB62) <=> (v20(constB62) | v21(constB62))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27354, 15582])).
% 7.36/5.55 tff(27356,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27357,plain,
% 7.36/5.55 (v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27356, 15594])).
% 7.36/5.55 tff(27358,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB62)) <=> v18(constB62))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27359,plain,
% 7.36/5.55 ((~v4(constB62)) <=> v18(constB62)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27358, 15603])).
% 7.36/5.55 tff(27360,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB62)),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27361,plain,
% 7.36/5.55 (v4(constB62)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27360, 15612])).
% 7.36/5.55 tff(27362,plain,
% 7.36/5.55 ((~((~v4(constB62)) <=> v18(constB62))) | (~v4(constB62)) | (~v18(constB62))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27363,plain,
% 7.36/5.55 (~v18(constB62)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27362, 27361, 27359])).
% 7.36/5.55 tff(27364,plain,
% 7.36/5.55 ((~(v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62)))))) | v18(constB62) | ((~v19(constB62)) | (~v22(constB62)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27365,plain,
% 7.36/5.55 ((~v19(constB62)) | (~v22(constB62))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27364, 27363, 27357])).
% 7.36/5.55 tff(27366,plain,
% 7.36/5.55 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB62) <=> (v1(constB62) | v6(constB62)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(27367,plain,
% 7.36/5.55 (v22(constB62) <=> (v1(constB62) | v6(constB62))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27366, 15625])).
% 7.36/5.55 tff(27368,plain,
% 7.36/5.55 ((v1(constB62) | v6(constB62)) | (~v1(constB62))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27369,plain,
% 7.36/5.55 (v1(constB62) | v6(constB62)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27368, 9625])).
% 7.36/5.55 tff(27370,plain,
% 7.36/5.55 ((~(v22(constB62) <=> (v1(constB62) | v6(constB62)))) | v22(constB62) | (~(v1(constB62) | v6(constB62)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27371,plain,
% 7.36/5.55 ((~(v22(constB62) <=> (v1(constB62) | v6(constB62)))) | v22(constB62)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27370, 27369])).
% 7.36/5.55 tff(27372,plain,
% 7.36/5.55 (v22(constB62)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27371, 27367])).
% 7.36/5.55 tff(27373,plain,
% 7.36/5.55 ((~((~v19(constB62)) | (~v22(constB62)))) | (~v19(constB62)) | (~v22(constB62))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27374,plain,
% 7.36/5.55 ((~((~v19(constB62)) | (~v22(constB62)))) | (~v19(constB62))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27373, 27372])).
% 7.36/5.55 tff(27375,plain,
% 7.36/5.55 (~v19(constB62)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27374, 27365])).
% 7.36/5.55 tff(27376,plain,
% 7.36/5.55 ((~(v19(constB62) <=> (v20(constB62) | v21(constB62)))) | v19(constB62) | (~(v20(constB62) | v21(constB62)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27377,plain,
% 7.36/5.55 (~(v20(constB62) | v21(constB62))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27376, 27375, 27355])).
% 7.36/5.55 tff(27378,plain,
% 7.36/5.55 ((v20(constB62) | v21(constB62)) | (~v21(constB62))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27379,plain,
% 7.36/5.55 (~v21(constB62)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27378, 27377])).
% 7.36/5.55 tff(27380,plain,
% 7.36/5.55 ((~((~v21(constB62)) <=> v6(constB62))) | v21(constB62) | v6(constB62)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(27381,plain,
% 7.36/5.55 (v6(constB62)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[27380, 27379, 27353])).
% 7.36/5.55 tff(27382,plain,
% 7.36/5.55 ((~(v6(constB62) <=> v13(constB62))) | (~v6(constB62)) | v13(constB62)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27383,plain,
% 7.36/5.56 (v13(constB62)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27382, 27381, 27351])).
% 7.36/5.56 tff(27384,plain,
% 7.36/5.56 ((~(v13(constB62) <=> v9(constB61))) | (~v13(constB62)) | v9(constB61)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27385,plain,
% 7.36/5.56 (v9(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27384, 27383, 27349])).
% 7.36/5.56 tff(27386,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB61)) <=> v1(constB61))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27387,plain,
% 7.36/5.56 ((~v39(constB61)) <=> v1(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27386, 102])).
% 7.36/5.56 tff(27388,plain,
% 7.36/5.56 ((~((~v39(constB61)) <=> v1(constB61))) | v39(constB61) | v1(constB61)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27389,plain,
% 7.36/5.56 ((~((~v39(constB61)) <=> v1(constB61))) | v39(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27388, 2601])).
% 7.36/5.56 tff(27390,plain,
% 7.36/5.56 (v39(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27389, 27387])).
% 7.36/5.56 tff(27391,plain,
% 7.36/5.56 ((~((~v39(constB61)) | (~v9(constB61)))) | (~v39(constB61)) | (~v9(constB61))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27392,plain,
% 7.36/5.56 ((~((~v39(constB61)) | (~v9(constB61)))) | (~v9(constB61))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27391, 27390])).
% 7.36/5.56 tff(27393,plain,
% 7.36/5.56 (~((~v39(constB61)) | (~v9(constB61)))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27392, 27385])).
% 7.36/5.56 tff(27394,plain,
% 7.36/5.56 ((~(v185(constB61) <=> (~((~v39(constB61)) | (~v9(constB61)))))) | v185(constB61) | ((~v39(constB61)) | (~v9(constB61)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27395,plain,
% 7.36/5.56 (v185(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27394, 27393, 27345])).
% 7.36/5.56 tff(27396,plain,
% 7.36/5.56 ((v185(constB61) | v26(constB61)) | (~v185(constB61))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27397,plain,
% 7.36/5.56 (v185(constB61) | v26(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27396, 27395])).
% 7.36/5.56 tff(27398,plain,
% 7.36/5.56 ((~(v195(constB61) <=> (v185(constB61) | v26(constB61)))) | v195(constB61) | (~(v185(constB61) | v26(constB61)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27399,plain,
% 7.36/5.56 (v195(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27398, 27397, 27343])).
% 7.36/5.56 tff(27400,plain,
% 7.36/5.56 ((~((~v194(constB61)) <=> v195(constB61))) | (~v194(constB61)) | (~v195(constB61))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27401,plain,
% 7.36/5.56 (~v194(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27400, 27399, 27341])).
% 7.36/5.56 tff(27402,plain,
% 7.36/5.56 (((~v157(constB61)) | (~v194(constB61))) | v194(constB61)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27403,plain,
% 7.36/5.56 ((~v157(constB61)) | (~v194(constB61))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27402, 27401])).
% 7.36/5.56 tff(27404,plain,
% 7.36/5.56 ((~(v193(constB61) <=> (~((~v157(constB61)) | (~v194(constB61)))))) | (~v193(constB61)) | (~((~v157(constB61)) | (~v194(constB61))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27405,plain,
% 7.36/5.56 (~v193(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27404, 27403, 27339])).
% 7.36/5.56 tff(27406,plain,
% 7.36/5.56 ((~(v193(constB61) | v196(constB61))) | v193(constB61) | v196(constB61)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27407,plain,
% 7.36/5.56 (~(v193(constB61) | v196(constB61))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27406, 27405, 27332])).
% 7.36/5.56 tff(27408,plain,
% 7.36/5.56 ((~(v190(constB61) <=> (v193(constB61) | v196(constB61)))) | (~v190(constB61)) | (v193(constB61) | v196(constB61))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27409,plain,
% 7.36/5.56 (~v190(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27408, 27407, 27298])).
% 7.36/5.56 tff(27410,plain,
% 7.36/5.56 ((~(v192(constB62) <=> v190(constB61))) | (~v192(constB62)) | v190(constB61)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27411,plain,
% 7.36/5.56 (~v192(constB62)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27410, 27409, 27296])).
% 7.36/5.56 tff(27412,plain,
% 7.36/5.56 ((~(v157(constB62) <=> v192(constB62))) | (~v157(constB62)) | v192(constB62)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27413,plain,
% 7.36/5.56 (~v157(constB62)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27412, 27411, 27292])).
% 7.36/5.56 tff(27414,plain,
% 7.36/5.56 (((~v157(constB62)) | (~v194(constB62))) | v157(constB62)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27415,plain,
% 7.36/5.56 ((~v157(constB62)) | (~v194(constB62))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27414, 27413])).
% 7.36/5.56 tff(27416,plain,
% 7.36/5.56 ((~(v193(constB62) <=> (~((~v157(constB62)) | (~v194(constB62)))))) | (~v193(constB62)) | (~((~v157(constB62)) | (~v194(constB62))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27417,plain,
% 7.36/5.56 (~v193(constB62)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27416, 27415, 27290])).
% 7.36/5.56 tff(27418,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB62) <=> (~((~v159(constB62)) | (~v194(constB62)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB62) <=> (~((~v159(constB62)) | (~v194(constB62))))))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27419,plain,
% 7.36/5.56 ((v196(constB62) <=> (~((~v194(constB62)) | (~v159(constB62))))) <=> (v196(constB62) <=> (~((~v159(constB62)) | (~v194(constB62)))))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27420,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB62) <=> (~((~v194(constB62)) | (~v159(constB62)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB62) <=> (~((~v159(constB62)) | (~v194(constB62))))))),
% 7.36/5.56 inference(monotonicity,[status(thm)],[27419])).
% 7.36/5.56 tff(27421,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB62) <=> (~((~v194(constB62)) | (~v159(constB62)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB62) <=> (~((~v159(constB62)) | (~v194(constB62))))))),
% 7.36/5.56 inference(transitivity,[status(thm)],[27420, 27418])).
% 7.36/5.56 tff(27422,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB62) <=> (~((~v194(constB62)) | (~v159(constB62)))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27423,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB62) <=> (~((~v159(constB62)) | (~v194(constB62)))))),
% 7.36/5.56 inference(modus_ponens,[status(thm)],[27422, 27421])).
% 7.36/5.56 tff(27424,plain,
% 7.36/5.56 (v196(constB62) <=> (~((~v159(constB62)) | (~v194(constB62))))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27423, 15467])).
% 7.36/5.56 tff(27425,plain,
% 7.36/5.56 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB62) <=> v182(constB62))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27426,plain,
% 7.36/5.56 (v159(constB62) <=> v182(constB62)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27425, 15113])).
% 7.36/5.56 tff(27427,plain,
% 7.36/5.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB61, constB62)) | (v182(constB62) <=> v180(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB61, constB62)) | (v182(constB62) <=> v180(constB61)))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27428,plain,
% 7.36/5.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB61, constB62)) | (v182(constB62) <=> v180(constB61)))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27429,plain,
% 7.36/5.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB61, constB62)) | (v182(constB62) <=> v180(constB61))),
% 7.36/5.56 inference(modus_ponens,[status(thm)],[27428, 27427])).
% 7.36/5.56 tff(27430,plain,
% 7.36/5.56 (v182(constB62) <=> v180(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27429, 2557, 15125])).
% 7.36/5.56 tff(27431,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB61) <=> (~((~v183(constB61)) | (~v184(constB61)))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27432,plain,
% 7.36/5.56 (v180(constB61) <=> (~((~v183(constB61)) | (~v184(constB61))))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27431, 15139])).
% 7.36/5.56 tff(27433,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB61) <=> (~((~v185(constB61)) | (~v161(constB61)))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27434,plain,
% 7.36/5.56 (v184(constB61) <=> (~((~v185(constB61)) | (~v161(constB61))))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27433, 15151])).
% 7.36/5.56 tff(27435,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB61) <=> v163(constB61))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27436,plain,
% 7.36/5.56 (v161(constB61) <=> v163(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27435, 15701])).
% 7.36/5.56 tff(27437,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB61) <=> (v145(constB61) | v167(constB61)))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27438,plain,
% 7.36/5.56 (v166(constB61) <=> (v145(constB61) | v167(constB61))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27437, 15713])).
% 7.36/5.56 tff(27439,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB61) <=> (v142(constB61) | v168(constB61)))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27440,plain,
% 7.36/5.56 (v167(constB61) <=> (v142(constB61) | v168(constB61))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27439, 15725])).
% 7.36/5.56 tff(27441,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB61) <=> (v141(constB61) | v169(constB61)))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27442,plain,
% 7.36/5.56 (v168(constB61) <=> (v141(constB61) | v169(constB61))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27441, 26253])).
% 7.36/5.56 tff(27443,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB61) <=> (~((~v88(constB61, 1)) | v88(constB61, 2) | (~v88(constB61, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB61) <=> (~((~v88(constB61, 1)) | v88(constB61, 2) | (~v88(constB61, 0))))))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27444,plain,
% 7.36/5.56 ((v141(constB61) <=> (~(v88(constB61, 2) | (~v88(constB61, 1)) | (~v88(constB61, 0))))) <=> (v141(constB61) <=> (~((~v88(constB61, 1)) | v88(constB61, 2) | (~v88(constB61, 0)))))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27445,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB61) <=> (~(v88(constB61, 2) | (~v88(constB61, 1)) | (~v88(constB61, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB61) <=> (~((~v88(constB61, 1)) | v88(constB61, 2) | (~v88(constB61, 0))))))),
% 7.36/5.56 inference(monotonicity,[status(thm)],[27444])).
% 7.36/5.56 tff(27446,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB61) <=> (~(v88(constB61, 2) | (~v88(constB61, 1)) | (~v88(constB61, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB61) <=> (~((~v88(constB61, 1)) | v88(constB61, 2) | (~v88(constB61, 0))))))),
% 7.36/5.56 inference(transitivity,[status(thm)],[27445, 27443])).
% 7.36/5.56 tff(27447,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB61) <=> (~(v88(constB61, 2) | (~v88(constB61, 1)) | (~v88(constB61, 0)))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27448,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB61) <=> (~((~v88(constB61, 1)) | v88(constB61, 2) | (~v88(constB61, 0)))))),
% 7.36/5.56 inference(modus_ponens,[status(thm)],[27447, 27446])).
% 7.36/5.56 tff(27449,plain,
% 7.36/5.56 (v141(constB61) <=> (~((~v88(constB61, 1)) | v88(constB61, 2) | (~v88(constB61, 0))))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27448, 26268])).
% 7.36/5.56 tff(27450,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB61, 1)) <=> v90(constB61, 1)) | ((~v88(constB61, 2)) <=> v90(constB61, 2)) | ((~v88(constB61, 0)) <=> v90(constB61, 0))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27451,plain,
% 7.36/5.56 (~(((~v88(constB61, 1)) <=> v90(constB61, 1)) | ((~v88(constB61, 2)) <=> v90(constB61, 2)) | ((~v88(constB61, 0)) <=> v90(constB61, 0)))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27450, 256])).
% 7.36/5.56 tff(27452,plain,
% 7.36/5.56 ((((~v88(constB61, 1)) <=> v90(constB61, 1)) | ((~v88(constB61, 2)) <=> v90(constB61, 2)) | ((~v88(constB61, 0)) <=> v90(constB61, 0))) | (~((~v88(constB61, 2)) <=> v90(constB61, 2)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27453,plain,
% 7.36/5.56 (~((~v88(constB61, 2)) <=> v90(constB61, 2))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27452, 27451])).
% 7.36/5.56 tff(27454,plain,
% 7.36/5.56 (((~v88(constB61, 2)) <=> v90(constB61, 2)) | (~v88(constB61, 2)) | v90(constB61, 2)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27455,plain,
% 7.36/5.56 (~v88(constB61, 2)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27454, 9544, 27453])).
% 7.36/5.56 tff(27456,plain,
% 7.36/5.56 ((((~v88(constB61, 1)) <=> v90(constB61, 1)) | ((~v88(constB61, 2)) <=> v90(constB61, 2)) | ((~v88(constB61, 0)) <=> v90(constB61, 0))) | (~((~v88(constB61, 0)) <=> v90(constB61, 0)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27457,plain,
% 7.36/5.56 (~((~v88(constB61, 0)) <=> v90(constB61, 0))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27456, 27451])).
% 7.36/5.56 tff(27458,plain,
% 7.36/5.56 (((~v88(constB61, 0)) <=> v90(constB61, 0)) | v88(constB61, 0) | (~v90(constB61, 0))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27459,plain,
% 7.36/5.56 (v88(constB61, 0)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27458, 9562, 27457])).
% 7.36/5.56 tff(27460,plain,
% 7.36/5.56 ((((~v88(constB61, 1)) <=> v90(constB61, 1)) | ((~v88(constB61, 2)) <=> v90(constB61, 2)) | ((~v88(constB61, 0)) <=> v90(constB61, 0))) | (~((~v88(constB61, 1)) <=> v90(constB61, 1)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27461,plain,
% 7.36/5.56 (~((~v88(constB61, 1)) <=> v90(constB61, 1))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27460, 27451])).
% 7.36/5.56 tff(27462,plain,
% 7.36/5.56 (((~v88(constB61, 1)) <=> v90(constB61, 1)) | v88(constB61, 1) | (~v90(constB61, 1))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27463,plain,
% 7.36/5.56 (v88(constB61, 1)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27462, 9580, 27461])).
% 7.36/5.56 tff(27464,plain,
% 7.36/5.56 ((~((~v88(constB61, 1)) | v88(constB61, 2) | (~v88(constB61, 0)))) | (~v88(constB61, 1)) | v88(constB61, 2) | (~v88(constB61, 0))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27465,plain,
% 7.36/5.56 (~((~v88(constB61, 1)) | v88(constB61, 2) | (~v88(constB61, 0)))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27464, 27463, 27459, 27455])).
% 7.36/5.56 tff(27466,plain,
% 7.36/5.56 ((~(v141(constB61) <=> (~((~v88(constB61, 1)) | v88(constB61, 2) | (~v88(constB61, 0)))))) | v141(constB61) | ((~v88(constB61, 1)) | v88(constB61, 2) | (~v88(constB61, 0)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27467,plain,
% 7.36/5.56 (v141(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27466, 27465, 27449])).
% 7.36/5.56 tff(27468,plain,
% 7.36/5.56 ((v141(constB61) | v169(constB61)) | (~v141(constB61))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27469,plain,
% 7.36/5.56 (v141(constB61) | v169(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27468, 27467])).
% 7.36/5.56 tff(27470,plain,
% 7.36/5.56 ((~(v168(constB61) <=> (v141(constB61) | v169(constB61)))) | v168(constB61) | (~(v141(constB61) | v169(constB61)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27471,plain,
% 7.36/5.56 (v168(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27470, 27469, 27442])).
% 7.36/5.56 tff(27472,plain,
% 7.36/5.56 ((v142(constB61) | v168(constB61)) | (~v168(constB61))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27473,plain,
% 7.36/5.56 (v142(constB61) | v168(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27472, 27471])).
% 7.36/5.56 tff(27474,plain,
% 7.36/5.56 ((~(v167(constB61) <=> (v142(constB61) | v168(constB61)))) | v167(constB61) | (~(v142(constB61) | v168(constB61)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27475,plain,
% 7.36/5.56 ((~(v167(constB61) <=> (v142(constB61) | v168(constB61)))) | v167(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27474, 27473])).
% 7.36/5.56 tff(27476,plain,
% 7.36/5.56 (v167(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27475, 27440])).
% 7.36/5.56 tff(27477,plain,
% 7.36/5.56 ((v145(constB61) | v167(constB61)) | (~v167(constB61))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27478,plain,
% 7.36/5.56 (v145(constB61) | v167(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27477, 27476])).
% 7.36/5.56 tff(27479,plain,
% 7.36/5.56 ((~(v166(constB61) <=> (v145(constB61) | v167(constB61)))) | v166(constB61) | (~(v145(constB61) | v167(constB61)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27480,plain,
% 7.36/5.56 (v166(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27479, 27478, 27438])).
% 7.36/5.56 tff(27481,plain,
% 7.36/5.56 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB61)) | (v163(constB61) <=> v170(constB61)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB61)) | (v163(constB61) <=> v170(constB61)))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27482,plain,
% 7.36/5.56 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB61)) | (v163(constB61) <=> v170(constB61)))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27483,plain,
% 7.36/5.56 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB61)) | (v163(constB61) <=> v170(constB61))),
% 7.36/5.56 inference(modus_ponens,[status(thm)],[27482, 27481])).
% 7.36/5.56 tff(27484,plain,
% 7.36/5.56 ((~v166(constB61)) | (v163(constB61) <=> v170(constB61))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27483, 15777])).
% 7.36/5.56 tff(27485,plain,
% 7.36/5.56 (v163(constB61) <=> v170(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27484, 27480])).
% 7.36/5.56 tff(27486,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB61) <=> (~(v88(constB61, 0) | v88(constB61, 1) | v88(constB61, 2))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27487,plain,
% 7.36/5.56 (v139(constB61) <=> (~(v88(constB61, 0) | v88(constB61, 1) | v88(constB61, 2)))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27486, 15795])).
% 7.36/5.56 tff(27488,plain,
% 7.36/5.56 ((v88(constB61, 0) | v88(constB61, 1) | v88(constB61, 2)) | (~v88(constB61, 1))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27489,plain,
% 7.36/5.56 (v88(constB61, 0) | v88(constB61, 1) | v88(constB61, 2)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27488, 27463])).
% 7.36/5.56 tff(27490,plain,
% 7.36/5.56 ((~(v139(constB61) <=> (~(v88(constB61, 0) | v88(constB61, 1) | v88(constB61, 2))))) | (~v139(constB61)) | (~(v88(constB61, 0) | v88(constB61, 1) | v88(constB61, 2)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27491,plain,
% 7.36/5.56 (~v139(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27490, 27489, 27487])).
% 7.36/5.56 tff(27492,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB61) <=> (~(v88(constB61, 1) | v88(constB61, 2) | (~v88(constB61, 0)))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27493,plain,
% 7.36/5.56 (v140(constB61) <=> (~(v88(constB61, 1) | v88(constB61, 2) | (~v88(constB61, 0))))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27492, 15814])).
% 7.36/5.56 tff(27494,plain,
% 7.36/5.56 ((v88(constB61, 1) | v88(constB61, 2) | (~v88(constB61, 0))) | (~v88(constB61, 1))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27495,plain,
% 7.36/5.56 (v88(constB61, 1) | v88(constB61, 2) | (~v88(constB61, 0))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27494, 27463])).
% 7.36/5.56 tff(27496,plain,
% 7.36/5.56 ((~(v140(constB61) <=> (~(v88(constB61, 1) | v88(constB61, 2) | (~v88(constB61, 0)))))) | (~v140(constB61)) | (~(v88(constB61, 1) | v88(constB61, 2) | (~v88(constB61, 0))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27497,plain,
% 7.36/5.56 (~v140(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27496, 27495, 27493])).
% 7.36/5.56 tff(27498,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB61) | v139(constB61) | (~v170(constB61)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB61) | v139(constB61) | (~v170(constB61)))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27499,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB61) | v139(constB61) | (~v170(constB61)))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27500,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB61) | v139(constB61) | (~v170(constB61))),
% 7.36/5.56 inference(modus_ponens,[status(thm)],[27499, 27498])).
% 7.36/5.56 tff(27501,plain,
% 7.36/5.56 (v140(constB61) | v139(constB61) | (~v170(constB61))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27500, 15833])).
% 7.36/5.56 tff(27502,plain,
% 7.36/5.56 (~v170(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27501, 27497, 27491])).
% 7.36/5.56 tff(27503,plain,
% 7.36/5.56 ((~(v163(constB61) <=> v170(constB61))) | (~v163(constB61)) | v170(constB61)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27504,plain,
% 7.36/5.56 ((~(v163(constB61) <=> v170(constB61))) | (~v163(constB61))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27503, 27502])).
% 7.36/5.56 tff(27505,plain,
% 7.36/5.56 (~v163(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27504, 27485])).
% 7.36/5.56 tff(27506,plain,
% 7.36/5.56 ((~(v161(constB61) <=> v163(constB61))) | (~v161(constB61)) | v163(constB61)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27507,plain,
% 7.36/5.56 ((~(v161(constB61) <=> v163(constB61))) | (~v161(constB61))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27506, 27505])).
% 7.36/5.56 tff(27508,plain,
% 7.36/5.56 (~v161(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27507, 27436])).
% 7.36/5.56 tff(27509,plain,
% 7.36/5.56 (((~v185(constB61)) | (~v161(constB61))) | v161(constB61)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27510,plain,
% 7.36/5.56 ((~v185(constB61)) | (~v161(constB61))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27509, 27508])).
% 7.36/5.56 tff(27511,plain,
% 7.36/5.56 ((~(v184(constB61) <=> (~((~v185(constB61)) | (~v161(constB61)))))) | (~v184(constB61)) | (~((~v185(constB61)) | (~v161(constB61))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27512,plain,
% 7.36/5.56 (~v184(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27511, 27510, 27434])).
% 7.36/5.56 tff(27513,plain,
% 7.36/5.56 (((~v183(constB61)) | (~v184(constB61))) | v184(constB61)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27514,plain,
% 7.36/5.56 ((~v183(constB61)) | (~v184(constB61))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27513, 27512])).
% 7.36/5.56 tff(27515,plain,
% 7.36/5.56 ((~(v180(constB61) <=> (~((~v183(constB61)) | (~v184(constB61)))))) | (~v180(constB61)) | (~((~v183(constB61)) | (~v184(constB61))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27516,plain,
% 7.36/5.56 (~v180(constB61)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27515, 27514, 27432])).
% 7.36/5.56 tff(27517,plain,
% 7.36/5.56 ((~(v182(constB62) <=> v180(constB61))) | (~v182(constB62)) | v180(constB61)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27518,plain,
% 7.36/5.56 (~v182(constB62)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27517, 27516, 27430])).
% 7.36/5.56 tff(27519,plain,
% 7.36/5.56 ((~(v159(constB62) <=> v182(constB62))) | (~v159(constB62)) | v182(constB62)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27520,plain,
% 7.36/5.56 (~v159(constB62)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27519, 27518, 27426])).
% 7.36/5.56 tff(27521,plain,
% 7.36/5.56 (((~v159(constB62)) | (~v194(constB62))) | v159(constB62)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27522,plain,
% 7.36/5.56 ((~v159(constB62)) | (~v194(constB62))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27521, 27520])).
% 7.36/5.56 tff(27523,plain,
% 7.36/5.56 ((~(v196(constB62) <=> (~((~v159(constB62)) | (~v194(constB62)))))) | (~v196(constB62)) | (~((~v159(constB62)) | (~v194(constB62))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27524,plain,
% 7.36/5.56 (~v196(constB62)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27523, 27522, 27424])).
% 7.36/5.56 tff(27525,plain,
% 7.36/5.56 ((~(v193(constB62) | v196(constB62))) | v193(constB62) | v196(constB62)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27526,plain,
% 7.36/5.56 (~(v193(constB62) | v196(constB62))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27525, 27524, 27417])).
% 7.36/5.56 tff(27527,plain,
% 7.36/5.56 ((~(v190(constB62) <=> (v193(constB62) | v196(constB62)))) | (~v190(constB62)) | (v193(constB62) | v196(constB62))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27528,plain,
% 7.36/5.56 (~v190(constB62)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27527, 27526, 27283])).
% 7.36/5.56 tff(27529,plain,
% 7.36/5.56 ((~(v192(constB63) <=> v190(constB62))) | (~v192(constB63)) | v190(constB62)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27530,plain,
% 7.36/5.56 (~v192(constB63)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27529, 27528, 27281])).
% 7.36/5.56 tff(27531,plain,
% 7.36/5.56 ((~(v157(constB63) <=> v192(constB63))) | (~v157(constB63)) | v192(constB63)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27532,plain,
% 7.36/5.56 (~v157(constB63)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27531, 27530, 27277])).
% 7.36/5.56 tff(27533,plain,
% 7.36/5.56 (((~v157(constB63)) | (~v202(constB63))) | v157(constB63)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27534,plain,
% 7.36/5.56 ((~v157(constB63)) | (~v202(constB63))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27533, 27532])).
% 7.36/5.56 tff(27535,plain,
% 7.36/5.56 ((~(v201(constB63) <=> (~((~v157(constB63)) | (~v202(constB63)))))) | (~v201(constB63)) | (~((~v157(constB63)) | (~v202(constB63))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27536,plain,
% 7.36/5.56 (~v201(constB63)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27535, 27534, 27275])).
% 7.36/5.56 tff(27537,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB63) <=> (~((~v159(constB63)) | (~v202(constB63)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB63) <=> (~((~v159(constB63)) | (~v202(constB63))))))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27538,plain,
% 7.36/5.56 ((v205(constB63) <=> (~((~v202(constB63)) | (~v159(constB63))))) <=> (v205(constB63) <=> (~((~v159(constB63)) | (~v202(constB63)))))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27539,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB63) <=> (~((~v202(constB63)) | (~v159(constB63)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB63) <=> (~((~v159(constB63)) | (~v202(constB63))))))),
% 7.36/5.56 inference(monotonicity,[status(thm)],[27538])).
% 7.36/5.56 tff(27540,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB63) <=> (~((~v202(constB63)) | (~v159(constB63)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB63) <=> (~((~v159(constB63)) | (~v202(constB63))))))),
% 7.36/5.56 inference(transitivity,[status(thm)],[27539, 27537])).
% 7.36/5.56 tff(27541,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB63) <=> (~((~v202(constB63)) | (~v159(constB63)))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27542,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB63) <=> (~((~v159(constB63)) | (~v202(constB63)))))),
% 7.36/5.56 inference(modus_ponens,[status(thm)],[27541, 27540])).
% 7.36/5.56 tff(27543,plain,
% 7.36/5.56 (v205(constB63) <=> (~((~v159(constB63)) | (~v202(constB63))))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27542, 138])).
% 7.36/5.56 tff(27544,plain,
% 7.36/5.56 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB63) <=> v182(constB63))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27545,plain,
% 7.36/5.56 (v159(constB63) <=> v182(constB63)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27544, 15113])).
% 7.36/5.56 tff(27546,plain,
% 7.36/5.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB62, constB63)) | (v182(constB63) <=> v180(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB62, constB63)) | (v182(constB63) <=> v180(constB62)))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27547,plain,
% 7.36/5.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB62, constB63)) | (v182(constB63) <=> v180(constB62)))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27548,plain,
% 7.36/5.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB62, constB63)) | (v182(constB63) <=> v180(constB62))),
% 7.36/5.56 inference(modus_ponens,[status(thm)],[27547, 27546])).
% 7.36/5.56 tff(27549,plain,
% 7.36/5.56 (v182(constB63) <=> v180(constB62)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27548, 2521, 15125])).
% 7.36/5.56 tff(27550,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB62) <=> (~((~v183(constB62)) | (~v184(constB62)))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27551,plain,
% 7.36/5.56 (v180(constB62) <=> (~((~v183(constB62)) | (~v184(constB62))))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27550, 15139])).
% 7.36/5.56 tff(27552,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB62) <=> (~((~v185(constB62)) | (~v161(constB62)))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27553,plain,
% 7.36/5.56 (v184(constB62) <=> (~((~v185(constB62)) | (~v161(constB62))))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27552, 15151])).
% 7.36/5.56 tff(27554,plain,
% 7.36/5.56 (((~v185(constB62)) | (~v161(constB62))) | v185(constB62)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27555,plain,
% 7.36/5.56 ((~v185(constB62)) | (~v161(constB62))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27554, 26034])).
% 7.36/5.56 tff(27556,plain,
% 7.36/5.56 ((~(v184(constB62) <=> (~((~v185(constB62)) | (~v161(constB62)))))) | (~v184(constB62)) | (~((~v185(constB62)) | (~v161(constB62))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27557,plain,
% 7.36/5.56 ((~(v184(constB62) <=> (~((~v185(constB62)) | (~v161(constB62)))))) | (~v184(constB62))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27556, 27555])).
% 7.36/5.56 tff(27558,plain,
% 7.36/5.56 (~v184(constB62)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27557, 27553])).
% 7.36/5.56 tff(27559,plain,
% 7.36/5.56 (((~v183(constB62)) | (~v184(constB62))) | v184(constB62)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27560,plain,
% 7.36/5.56 ((~v183(constB62)) | (~v184(constB62))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27559, 27558])).
% 7.36/5.56 tff(27561,plain,
% 7.36/5.56 ((~(v180(constB62) <=> (~((~v183(constB62)) | (~v184(constB62)))))) | (~v180(constB62)) | (~((~v183(constB62)) | (~v184(constB62))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27562,plain,
% 7.36/5.56 (~v180(constB62)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27561, 27560, 27551])).
% 7.36/5.56 tff(27563,plain,
% 7.36/5.56 ((~(v182(constB63) <=> v180(constB62))) | (~v182(constB63)) | v180(constB62)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27564,plain,
% 7.36/5.56 (~v182(constB63)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27563, 27562, 27549])).
% 7.36/5.56 tff(27565,plain,
% 7.36/5.56 ((~(v159(constB63) <=> v182(constB63))) | (~v159(constB63)) | v182(constB63)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27566,plain,
% 7.36/5.56 (~v159(constB63)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27565, 27564, 27545])).
% 7.36/5.56 tff(27567,plain,
% 7.36/5.56 (((~v159(constB63)) | (~v202(constB63))) | v159(constB63)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27568,plain,
% 7.36/5.56 ((~v159(constB63)) | (~v202(constB63))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27567, 27566])).
% 7.36/5.56 tff(27569,plain,
% 7.36/5.56 ((~(v205(constB63) <=> (~((~v159(constB63)) | (~v202(constB63)))))) | (~v205(constB63)) | (~((~v159(constB63)) | (~v202(constB63))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27570,plain,
% 7.36/5.56 (~v205(constB63)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27569, 27568, 27543])).
% 7.36/5.56 tff(27571,plain,
% 7.36/5.56 ((~(v201(constB63) | v205(constB63))) | v201(constB63) | v205(constB63)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27572,plain,
% 7.36/5.56 ((~(v201(constB63) | v205(constB63))) | v201(constB63)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27571, 27570])).
% 7.36/5.56 tff(27573,plain,
% 7.36/5.56 (~(v201(constB63) | v205(constB63))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27572, 27536])).
% 7.36/5.56 tff(27574,plain,
% 7.36/5.56 ((~(v200(constB63) <=> (v201(constB63) | v205(constB63)))) | (~v200(constB63)) | (v201(constB63) | v205(constB63))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27575,plain,
% 7.36/5.56 (~v200(constB63)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27574, 27573, 27268])).
% 7.36/5.56 tff(27576,plain,
% 7.36/5.56 ($false),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27575, 27266])).
% 7.36/5.56 tff(27577,plain,(~(constB63 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.36/5.56 tff(27578,assumption,(constB160 = VarCurr!0), introduced(assumption)).
% 7.36/5.56 tff(27579,plain,
% 7.36/5.56 (v200(constB160) <=> v200(VarCurr!0)),
% 7.36/5.56 inference(monotonicity,[status(thm)],[27578])).
% 7.36/5.56 tff(27580,plain,
% 7.36/5.56 (v200(VarCurr!0) <=> v200(constB160)),
% 7.36/5.56 inference(symmetry,[status(thm)],[27579])).
% 7.36/5.56 tff(27581,plain,
% 7.36/5.56 (v200(constB160)),
% 7.36/5.56 inference(modus_ponens,[status(thm)],[27, 27580])).
% 7.36/5.56 tff(27582,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB160) <=> (v201(constB160) | v205(constB160)))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27583,plain,
% 7.36/5.56 (v200(constB160) <=> (v201(constB160) | v205(constB160))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27582, 35])).
% 7.36/5.56 tff(27584,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB160) <=> (~((~v157(constB160)) | (~v202(constB160)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB160) <=> (~((~v157(constB160)) | (~v202(constB160))))))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27585,plain,
% 7.36/5.56 ((v201(constB160) <=> (~((~v202(constB160)) | (~v157(constB160))))) <=> (v201(constB160) <=> (~((~v157(constB160)) | (~v202(constB160)))))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27586,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB160) <=> (~((~v202(constB160)) | (~v157(constB160)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB160) <=> (~((~v157(constB160)) | (~v202(constB160))))))),
% 7.36/5.56 inference(monotonicity,[status(thm)],[27585])).
% 7.36/5.56 tff(27587,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB160) <=> (~((~v202(constB160)) | (~v157(constB160)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB160) <=> (~((~v157(constB160)) | (~v202(constB160))))))),
% 7.36/5.56 inference(transitivity,[status(thm)],[27586, 27584])).
% 7.36/5.56 tff(27588,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB160) <=> (~((~v202(constB160)) | (~v157(constB160)))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27589,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB160) <=> (~((~v157(constB160)) | (~v202(constB160)))))),
% 7.36/5.56 inference(modus_ponens,[status(thm)],[27588, 27587])).
% 7.36/5.56 tff(27590,plain,
% 7.36/5.56 (v201(constB160) <=> (~((~v157(constB160)) | (~v202(constB160))))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27589, 47])).
% 7.36/5.56 tff(27591,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB160) <=> (~((~v183(constB160)) | (~v203(constB160)))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27592,plain,
% 7.36/5.56 (v202(constB160) <=> (~((~v183(constB160)) | (~v203(constB160))))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27591, 64])).
% 7.36/5.56 tff(27593,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB160) <=> (~((~v185(constB160)) | (~v204(constB160)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB160) <=> (~((~v185(constB160)) | (~v204(constB160))))))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27594,plain,
% 7.36/5.56 ((v203(constB160) <=> (~((~v204(constB160)) | (~v185(constB160))))) <=> (v203(constB160) <=> (~((~v185(constB160)) | (~v204(constB160)))))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27595,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB160) <=> (~((~v204(constB160)) | (~v185(constB160)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB160) <=> (~((~v185(constB160)) | (~v204(constB160))))))),
% 7.36/5.56 inference(monotonicity,[status(thm)],[27594])).
% 7.36/5.56 tff(27596,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB160) <=> (~((~v204(constB160)) | (~v185(constB160)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB160) <=> (~((~v185(constB160)) | (~v204(constB160))))))),
% 7.36/5.56 inference(transitivity,[status(thm)],[27595, 27593])).
% 7.36/5.56 tff(27597,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB160) <=> (~((~v204(constB160)) | (~v185(constB160)))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27598,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB160) <=> (~((~v185(constB160)) | (~v204(constB160)))))),
% 7.36/5.56 inference(modus_ponens,[status(thm)],[27597, 27596])).
% 7.36/5.56 tff(27599,plain,
% 7.36/5.56 (v203(constB160) <=> (~((~v185(constB160)) | (~v204(constB160))))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27598, 76])).
% 7.36/5.56 tff(27600,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27601,plain,
% 7.36/5.56 (v185(constB160) <=> (~((~v39(constB160)) | (~v9(constB160))))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27600, 93])).
% 7.36/5.56 tff(27602,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB160)) <=> v1(constB160))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27603,plain,
% 7.36/5.56 ((~v39(constB160)) <=> v1(constB160)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27602, 102])).
% 7.36/5.56 tff(27604,plain,
% 7.36/5.56 ((~((~v39(constB160)) <=> v1(constB160))) | (~v39(constB160)) | (~v1(constB160))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27605,plain,
% 7.36/5.56 ((~((~v39(constB160)) <=> v1(constB160))) | (~v39(constB160))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27604, 21027])).
% 7.36/5.56 tff(27606,plain,
% 7.36/5.56 (~v39(constB160)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27605, 27603])).
% 7.36/5.56 tff(27607,plain,
% 7.36/5.56 (((~v39(constB160)) | (~v9(constB160))) | v39(constB160)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27608,plain,
% 7.36/5.56 ((~v39(constB160)) | (~v9(constB160))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27607, 27606])).
% 7.36/5.56 tff(27609,plain,
% 7.36/5.56 ((~(v185(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))) | (~v185(constB160)) | (~((~v39(constB160)) | (~v9(constB160))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27610,plain,
% 7.36/5.56 ((~(v185(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))) | (~v185(constB160))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27609, 27608])).
% 7.36/5.56 tff(27611,plain,
% 7.36/5.56 (~v185(constB160)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27610, 27601])).
% 7.36/5.56 tff(27612,plain,
% 7.36/5.56 (((~v185(constB160)) | (~v204(constB160))) | v185(constB160)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27613,plain,
% 7.36/5.56 ((~v185(constB160)) | (~v204(constB160))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27612, 27611])).
% 7.36/5.56 tff(27614,plain,
% 7.36/5.56 ((~(v203(constB160) <=> (~((~v185(constB160)) | (~v204(constB160)))))) | (~v203(constB160)) | (~((~v185(constB160)) | (~v204(constB160))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27615,plain,
% 7.36/5.56 ((~(v203(constB160) <=> (~((~v185(constB160)) | (~v204(constB160)))))) | (~v203(constB160))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27614, 27613])).
% 7.36/5.56 tff(27616,plain,
% 7.36/5.56 (~v203(constB160)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27615, 27599])).
% 7.36/5.56 tff(27617,plain,
% 7.36/5.56 (((~v183(constB160)) | (~v203(constB160))) | v203(constB160)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27618,plain,
% 7.36/5.56 ((~v183(constB160)) | (~v203(constB160))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27617, 27616])).
% 7.36/5.56 tff(27619,plain,
% 7.36/5.56 ((~(v202(constB160) <=> (~((~v183(constB160)) | (~v203(constB160)))))) | (~v202(constB160)) | (~((~v183(constB160)) | (~v203(constB160))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27620,plain,
% 7.36/5.56 (~v202(constB160)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27619, 27618, 27592])).
% 7.36/5.56 tff(27621,plain,
% 7.36/5.56 (((~v157(constB160)) | (~v202(constB160))) | v202(constB160)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27622,plain,
% 7.36/5.56 ((~v157(constB160)) | (~v202(constB160))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27621, 27620])).
% 7.36/5.56 tff(27623,plain,
% 7.36/5.56 ((~(v201(constB160) <=> (~((~v157(constB160)) | (~v202(constB160)))))) | (~v201(constB160)) | (~((~v157(constB160)) | (~v202(constB160))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27624,plain,
% 7.36/5.56 (~v201(constB160)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27623, 27622, 27590])).
% 7.36/5.56 tff(27625,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB160) <=> (~((~v159(constB160)) | (~v202(constB160)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB160) <=> (~((~v159(constB160)) | (~v202(constB160))))))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27626,plain,
% 7.36/5.56 ((v205(constB160) <=> (~((~v202(constB160)) | (~v159(constB160))))) <=> (v205(constB160) <=> (~((~v159(constB160)) | (~v202(constB160)))))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(27627,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB160) <=> (~((~v202(constB160)) | (~v159(constB160)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB160) <=> (~((~v159(constB160)) | (~v202(constB160))))))),
% 7.36/5.56 inference(monotonicity,[status(thm)],[27626])).
% 7.36/5.56 tff(27628,plain,
% 7.36/5.56 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB160) <=> (~((~v202(constB160)) | (~v159(constB160)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB160) <=> (~((~v159(constB160)) | (~v202(constB160))))))),
% 7.36/5.56 inference(transitivity,[status(thm)],[27627, 27625])).
% 7.36/5.56 tff(27629,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB160) <=> (~((~v202(constB160)) | (~v159(constB160)))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(27630,plain,
% 7.36/5.56 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB160) <=> (~((~v159(constB160)) | (~v202(constB160)))))),
% 7.36/5.56 inference(modus_ponens,[status(thm)],[27629, 27628])).
% 7.36/5.56 tff(27631,plain,
% 7.36/5.56 (v205(constB160) <=> (~((~v159(constB160)) | (~v202(constB160))))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27630, 138])).
% 7.36/5.56 tff(27632,plain,
% 7.36/5.56 (((~v159(constB160)) | (~v202(constB160))) | v202(constB160)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27633,plain,
% 7.36/5.56 ((~v159(constB160)) | (~v202(constB160))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27632, 27620])).
% 7.36/5.56 tff(27634,plain,
% 7.36/5.56 ((~(v205(constB160) <=> (~((~v159(constB160)) | (~v202(constB160)))))) | (~v205(constB160)) | (~((~v159(constB160)) | (~v202(constB160))))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27635,plain,
% 7.36/5.56 (~v205(constB160)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27634, 27633, 27631])).
% 7.36/5.56 tff(27636,plain,
% 7.36/5.56 ((~(v201(constB160) | v205(constB160))) | v201(constB160) | v205(constB160)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27637,plain,
% 7.36/5.56 (~(v201(constB160) | v205(constB160))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27636, 27635, 27624])).
% 7.36/5.56 tff(27638,plain,
% 7.36/5.56 ((~(v200(constB160) <=> (v201(constB160) | v205(constB160)))) | (~v200(constB160)) | (v201(constB160) | v205(constB160))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(27639,plain,
% 7.36/5.56 ((~(v200(constB160) <=> (v201(constB160) | v205(constB160)))) | (~v200(constB160))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27638, 27637])).
% 7.36/5.56 tff(27640,plain,
% 7.36/5.56 (~v200(constB160)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27639, 27583])).
% 7.36/5.56 tff(27641,plain,
% 7.36/5.56 ($false),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[27640, 27581])).
% 7.36/5.56 tff(27642,plain,(~(constB160 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.36/5.56 tff(27643,assumption,(constB12 = VarCurr!0), introduced(assumption)).
% 7.36/5.56 tff(27644,plain,
% 7.36/5.56 (v200(constB12) <=> v200(VarCurr!0)),
% 7.36/5.57 inference(monotonicity,[status(thm)],[27643])).
% 7.36/5.57 tff(27645,plain,
% 7.36/5.57 (v200(VarCurr!0) <=> v200(constB12)),
% 7.36/5.57 inference(symmetry,[status(thm)],[27644])).
% 7.36/5.57 tff(27646,plain,
% 7.36/5.57 (v200(constB12)),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27, 27645])).
% 7.36/5.57 tff(27647,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB12) <=> (v201(constB12) | v205(constB12)))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27648,plain,
% 7.36/5.57 (v200(constB12) <=> (v201(constB12) | v205(constB12))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27647, 35])).
% 7.36/5.57 tff(27649,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB12) <=> (~((~v157(constB12)) | (~v202(constB12)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB12) <=> (~((~v157(constB12)) | (~v202(constB12))))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27650,plain,
% 7.36/5.57 ((v201(constB12) <=> (~((~v202(constB12)) | (~v157(constB12))))) <=> (v201(constB12) <=> (~((~v157(constB12)) | (~v202(constB12)))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27651,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB12) <=> (~((~v202(constB12)) | (~v157(constB12)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB12) <=> (~((~v157(constB12)) | (~v202(constB12))))))),
% 7.36/5.57 inference(monotonicity,[status(thm)],[27650])).
% 7.36/5.57 tff(27652,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB12) <=> (~((~v202(constB12)) | (~v157(constB12)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB12) <=> (~((~v157(constB12)) | (~v202(constB12))))))),
% 7.36/5.57 inference(transitivity,[status(thm)],[27651, 27649])).
% 7.36/5.57 tff(27653,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB12) <=> (~((~v202(constB12)) | (~v157(constB12)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27654,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB12) <=> (~((~v157(constB12)) | (~v202(constB12)))))),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27653, 27652])).
% 7.36/5.57 tff(27655,plain,
% 7.36/5.57 (v201(constB12) <=> (~((~v157(constB12)) | (~v202(constB12))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27654, 47])).
% 7.36/5.57 tff(27656,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB12) <=> (~((~v183(constB12)) | (~v203(constB12)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27657,plain,
% 7.36/5.57 (v202(constB12) <=> (~((~v183(constB12)) | (~v203(constB12))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27656, 64])).
% 7.36/5.57 tff(27658,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB12) <=> (~((~v185(constB12)) | (~v204(constB12)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB12) <=> (~((~v185(constB12)) | (~v204(constB12))))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27659,plain,
% 7.36/5.57 ((v203(constB12) <=> (~((~v204(constB12)) | (~v185(constB12))))) <=> (v203(constB12) <=> (~((~v185(constB12)) | (~v204(constB12)))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27660,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB12) <=> (~((~v204(constB12)) | (~v185(constB12)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB12) <=> (~((~v185(constB12)) | (~v204(constB12))))))),
% 7.36/5.57 inference(monotonicity,[status(thm)],[27659])).
% 7.36/5.57 tff(27661,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB12) <=> (~((~v204(constB12)) | (~v185(constB12)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB12) <=> (~((~v185(constB12)) | (~v204(constB12))))))),
% 7.36/5.57 inference(transitivity,[status(thm)],[27660, 27658])).
% 7.36/5.57 tff(27662,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB12) <=> (~((~v204(constB12)) | (~v185(constB12)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27663,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB12) <=> (~((~v185(constB12)) | (~v204(constB12)))))),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27662, 27661])).
% 7.36/5.57 tff(27664,plain,
% 7.36/5.57 (v203(constB12) <=> (~((~v185(constB12)) | (~v204(constB12))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27663, 76])).
% 7.36/5.57 tff(27665,plain,
% 7.36/5.57 (((~v185(constB12)) | (~v204(constB12))) | v185(constB12)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27666,plain,
% 7.36/5.57 ((~v185(constB12)) | (~v204(constB12))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27665, 25066])).
% 7.36/5.57 tff(27667,plain,
% 7.36/5.57 ((~(v203(constB12) <=> (~((~v185(constB12)) | (~v204(constB12)))))) | (~v203(constB12)) | (~((~v185(constB12)) | (~v204(constB12))))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27668,plain,
% 7.36/5.57 ((~(v203(constB12) <=> (~((~v185(constB12)) | (~v204(constB12)))))) | (~v203(constB12))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27667, 27666])).
% 7.36/5.57 tff(27669,plain,
% 7.36/5.57 (~v203(constB12)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27668, 27664])).
% 7.36/5.57 tff(27670,plain,
% 7.36/5.57 (((~v183(constB12)) | (~v203(constB12))) | v203(constB12)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27671,plain,
% 7.36/5.57 ((~v183(constB12)) | (~v203(constB12))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27670, 27669])).
% 7.36/5.57 tff(27672,plain,
% 7.36/5.57 ((~(v202(constB12) <=> (~((~v183(constB12)) | (~v203(constB12)))))) | (~v202(constB12)) | (~((~v183(constB12)) | (~v203(constB12))))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27673,plain,
% 7.36/5.57 (~v202(constB12)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27672, 27671, 27657])).
% 7.36/5.57 tff(27674,plain,
% 7.36/5.57 (((~v157(constB12)) | (~v202(constB12))) | v202(constB12)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27675,plain,
% 7.36/5.57 ((~v157(constB12)) | (~v202(constB12))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27674, 27673])).
% 7.36/5.57 tff(27676,plain,
% 7.36/5.57 ((~(v201(constB12) <=> (~((~v157(constB12)) | (~v202(constB12)))))) | (~v201(constB12)) | (~((~v157(constB12)) | (~v202(constB12))))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27677,plain,
% 7.36/5.57 (~v201(constB12)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27676, 27675, 27655])).
% 7.36/5.57 tff(27678,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB12) <=> (~((~v159(constB12)) | (~v202(constB12)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB12) <=> (~((~v159(constB12)) | (~v202(constB12))))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27679,plain,
% 7.36/5.57 ((v205(constB12) <=> (~((~v202(constB12)) | (~v159(constB12))))) <=> (v205(constB12) <=> (~((~v159(constB12)) | (~v202(constB12)))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27680,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB12) <=> (~((~v202(constB12)) | (~v159(constB12)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB12) <=> (~((~v159(constB12)) | (~v202(constB12))))))),
% 7.36/5.57 inference(monotonicity,[status(thm)],[27679])).
% 7.36/5.57 tff(27681,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB12) <=> (~((~v202(constB12)) | (~v159(constB12)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB12) <=> (~((~v159(constB12)) | (~v202(constB12))))))),
% 7.36/5.57 inference(transitivity,[status(thm)],[27680, 27678])).
% 7.36/5.57 tff(27682,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB12) <=> (~((~v202(constB12)) | (~v159(constB12)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27683,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB12) <=> (~((~v159(constB12)) | (~v202(constB12)))))),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27682, 27681])).
% 7.36/5.57 tff(27684,plain,
% 7.36/5.57 (v205(constB12) <=> (~((~v159(constB12)) | (~v202(constB12))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27683, 138])).
% 7.36/5.57 tff(27685,plain,
% 7.36/5.57 (((~v159(constB12)) | (~v202(constB12))) | v202(constB12)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27686,plain,
% 7.36/5.57 ((~v159(constB12)) | (~v202(constB12))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27685, 27673])).
% 7.36/5.57 tff(27687,plain,
% 7.36/5.57 ((~(v205(constB12) <=> (~((~v159(constB12)) | (~v202(constB12)))))) | (~v205(constB12)) | (~((~v159(constB12)) | (~v202(constB12))))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27688,plain,
% 7.36/5.57 (~v205(constB12)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27687, 27686, 27684])).
% 7.36/5.57 tff(27689,plain,
% 7.36/5.57 ((~(v201(constB12) | v205(constB12))) | v201(constB12) | v205(constB12)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27690,plain,
% 7.36/5.57 (~(v201(constB12) | v205(constB12))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27689, 27688, 27677])).
% 7.36/5.57 tff(27691,plain,
% 7.36/5.57 ((~(v200(constB12) <=> (v201(constB12) | v205(constB12)))) | (~v200(constB12)) | (v201(constB12) | v205(constB12))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27692,plain,
% 7.36/5.57 ((~(v200(constB12) <=> (v201(constB12) | v205(constB12)))) | (~v200(constB12))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27691, 27690])).
% 7.36/5.57 tff(27693,plain,
% 7.36/5.57 (~v200(constB12)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27692, 27648])).
% 7.36/5.57 tff(27694,plain,
% 7.36/5.57 ($false),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27693, 27646])).
% 7.36/5.57 tff(27695,plain,(~(constB12 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.36/5.57 tff(27696,assumption,(constB194 = VarCurr!0), introduced(assumption)).
% 7.36/5.57 tff(27697,plain,
% 7.36/5.57 (v200(constB194) <=> v200(VarCurr!0)),
% 7.36/5.57 inference(monotonicity,[status(thm)],[27696])).
% 7.36/5.57 tff(27698,plain,
% 7.36/5.57 (v200(VarCurr!0) <=> v200(constB194)),
% 7.36/5.57 inference(symmetry,[status(thm)],[27697])).
% 7.36/5.57 tff(27699,plain,
% 7.36/5.57 (v200(constB194)),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27, 27698])).
% 7.36/5.57 tff(27700,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB194) <=> (v201(constB194) | v205(constB194)))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27701,plain,
% 7.36/5.57 (v200(constB194) <=> (v201(constB194) | v205(constB194))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27700, 35])).
% 7.36/5.57 tff(27702,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB194) <=> (~((~v157(constB194)) | (~v202(constB194)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB194) <=> (~((~v157(constB194)) | (~v202(constB194))))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27703,plain,
% 7.36/5.57 ((v201(constB194) <=> (~((~v202(constB194)) | (~v157(constB194))))) <=> (v201(constB194) <=> (~((~v157(constB194)) | (~v202(constB194)))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27704,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB194) <=> (~((~v202(constB194)) | (~v157(constB194)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB194) <=> (~((~v157(constB194)) | (~v202(constB194))))))),
% 7.36/5.57 inference(monotonicity,[status(thm)],[27703])).
% 7.36/5.57 tff(27705,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB194) <=> (~((~v202(constB194)) | (~v157(constB194)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB194) <=> (~((~v157(constB194)) | (~v202(constB194))))))),
% 7.36/5.57 inference(transitivity,[status(thm)],[27704, 27702])).
% 7.36/5.57 tff(27706,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB194) <=> (~((~v202(constB194)) | (~v157(constB194)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27707,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB194) <=> (~((~v157(constB194)) | (~v202(constB194)))))),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27706, 27705])).
% 7.36/5.57 tff(27708,plain,
% 7.36/5.57 (v201(constB194) <=> (~((~v157(constB194)) | (~v202(constB194))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27707, 47])).
% 7.36/5.57 tff(27709,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB194) <=> (~((~v183(constB194)) | (~v203(constB194)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27710,plain,
% 7.36/5.57 (v202(constB194) <=> (~((~v183(constB194)) | (~v203(constB194))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27709, 64])).
% 7.36/5.57 tff(27711,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB194) <=> (~((~v185(constB194)) | (~v204(constB194)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB194) <=> (~((~v185(constB194)) | (~v204(constB194))))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27712,plain,
% 7.36/5.57 ((v203(constB194) <=> (~((~v204(constB194)) | (~v185(constB194))))) <=> (v203(constB194) <=> (~((~v185(constB194)) | (~v204(constB194)))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27713,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB194) <=> (~((~v204(constB194)) | (~v185(constB194)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB194) <=> (~((~v185(constB194)) | (~v204(constB194))))))),
% 7.36/5.57 inference(monotonicity,[status(thm)],[27712])).
% 7.36/5.57 tff(27714,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB194) <=> (~((~v204(constB194)) | (~v185(constB194)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB194) <=> (~((~v185(constB194)) | (~v204(constB194))))))),
% 7.36/5.57 inference(transitivity,[status(thm)],[27713, 27711])).
% 7.36/5.57 tff(27715,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB194) <=> (~((~v204(constB194)) | (~v185(constB194)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27716,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB194) <=> (~((~v185(constB194)) | (~v204(constB194)))))),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27715, 27714])).
% 7.36/5.57 tff(27717,plain,
% 7.36/5.57 (v203(constB194) <=> (~((~v185(constB194)) | (~v204(constB194))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27716, 76])).
% 7.36/5.57 tff(27718,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27719,plain,
% 7.36/5.57 (v185(constB194) <=> (~((~v39(constB194)) | (~v9(constB194))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27718, 93])).
% 7.36/5.57 tff(27720,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB194)) <=> v1(constB194))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27721,plain,
% 7.36/5.57 ((~v39(constB194)) <=> v1(constB194)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27720, 102])).
% 7.36/5.57 tff(27722,plain,
% 7.36/5.57 (v1(constB194) <=> v1(constB194)),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27723,axiom,(v1(constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_194')).
% 7.36/5.57 tff(27724,plain,
% 7.36/5.57 (v1(constB194)),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27723, 27722])).
% 7.36/5.57 tff(27725,plain,
% 7.36/5.57 ((~((~v39(constB194)) <=> v1(constB194))) | (~v39(constB194)) | (~v1(constB194))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27726,plain,
% 7.36/5.57 ((~((~v39(constB194)) <=> v1(constB194))) | (~v39(constB194))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27725, 27724])).
% 7.36/5.57 tff(27727,plain,
% 7.36/5.57 (~v39(constB194)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27726, 27721])).
% 7.36/5.57 tff(27728,plain,
% 7.36/5.57 (((~v39(constB194)) | (~v9(constB194))) | v39(constB194)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27729,plain,
% 7.36/5.57 ((~v39(constB194)) | (~v9(constB194))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27728, 27727])).
% 7.36/5.57 tff(27730,plain,
% 7.36/5.57 ((~(v185(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))) | (~v185(constB194)) | (~((~v39(constB194)) | (~v9(constB194))))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27731,plain,
% 7.36/5.57 ((~(v185(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))) | (~v185(constB194))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27730, 27729])).
% 7.36/5.57 tff(27732,plain,
% 7.36/5.57 (~v185(constB194)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27731, 27719])).
% 7.36/5.57 tff(27733,plain,
% 7.36/5.57 (((~v185(constB194)) | (~v204(constB194))) | v185(constB194)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27734,plain,
% 7.36/5.57 ((~v185(constB194)) | (~v204(constB194))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27733, 27732])).
% 7.36/5.57 tff(27735,plain,
% 7.36/5.57 ((~(v203(constB194) <=> (~((~v185(constB194)) | (~v204(constB194)))))) | (~v203(constB194)) | (~((~v185(constB194)) | (~v204(constB194))))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27736,plain,
% 7.36/5.57 ((~(v203(constB194) <=> (~((~v185(constB194)) | (~v204(constB194)))))) | (~v203(constB194))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27735, 27734])).
% 7.36/5.57 tff(27737,plain,
% 7.36/5.57 (~v203(constB194)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27736, 27717])).
% 7.36/5.57 tff(27738,plain,
% 7.36/5.57 (((~v183(constB194)) | (~v203(constB194))) | v203(constB194)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27739,plain,
% 7.36/5.57 ((~v183(constB194)) | (~v203(constB194))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27738, 27737])).
% 7.36/5.57 tff(27740,plain,
% 7.36/5.57 ((~(v202(constB194) <=> (~((~v183(constB194)) | (~v203(constB194)))))) | (~v202(constB194)) | (~((~v183(constB194)) | (~v203(constB194))))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27741,plain,
% 7.36/5.57 (~v202(constB194)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27740, 27739, 27710])).
% 7.36/5.57 tff(27742,plain,
% 7.36/5.57 (((~v157(constB194)) | (~v202(constB194))) | v202(constB194)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27743,plain,
% 7.36/5.57 ((~v157(constB194)) | (~v202(constB194))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27742, 27741])).
% 7.36/5.57 tff(27744,plain,
% 7.36/5.57 ((~(v201(constB194) <=> (~((~v157(constB194)) | (~v202(constB194)))))) | (~v201(constB194)) | (~((~v157(constB194)) | (~v202(constB194))))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27745,plain,
% 7.36/5.57 (~v201(constB194)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27744, 27743, 27708])).
% 7.36/5.57 tff(27746,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB194) <=> (~((~v159(constB194)) | (~v202(constB194)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB194) <=> (~((~v159(constB194)) | (~v202(constB194))))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27747,plain,
% 7.36/5.57 ((v205(constB194) <=> (~((~v202(constB194)) | (~v159(constB194))))) <=> (v205(constB194) <=> (~((~v159(constB194)) | (~v202(constB194)))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27748,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB194) <=> (~((~v202(constB194)) | (~v159(constB194)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB194) <=> (~((~v159(constB194)) | (~v202(constB194))))))),
% 7.36/5.57 inference(monotonicity,[status(thm)],[27747])).
% 7.36/5.57 tff(27749,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB194) <=> (~((~v202(constB194)) | (~v159(constB194)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB194) <=> (~((~v159(constB194)) | (~v202(constB194))))))),
% 7.36/5.57 inference(transitivity,[status(thm)],[27748, 27746])).
% 7.36/5.57 tff(27750,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB194) <=> (~((~v202(constB194)) | (~v159(constB194)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27751,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB194) <=> (~((~v159(constB194)) | (~v202(constB194)))))),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27750, 27749])).
% 7.36/5.57 tff(27752,plain,
% 7.36/5.57 (v205(constB194) <=> (~((~v159(constB194)) | (~v202(constB194))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27751, 138])).
% 7.36/5.57 tff(27753,plain,
% 7.36/5.57 (((~v159(constB194)) | (~v202(constB194))) | v202(constB194)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27754,plain,
% 7.36/5.57 ((~v159(constB194)) | (~v202(constB194))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27753, 27741])).
% 7.36/5.57 tff(27755,plain,
% 7.36/5.57 ((~(v205(constB194) <=> (~((~v159(constB194)) | (~v202(constB194)))))) | (~v205(constB194)) | (~((~v159(constB194)) | (~v202(constB194))))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27756,plain,
% 7.36/5.57 (~v205(constB194)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27755, 27754, 27752])).
% 7.36/5.57 tff(27757,plain,
% 7.36/5.57 ((~(v201(constB194) | v205(constB194))) | v201(constB194) | v205(constB194)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27758,plain,
% 7.36/5.57 (~(v201(constB194) | v205(constB194))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27757, 27756, 27745])).
% 7.36/5.57 tff(27759,plain,
% 7.36/5.57 ((~(v200(constB194) <=> (v201(constB194) | v205(constB194)))) | (~v200(constB194)) | (v201(constB194) | v205(constB194))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27760,plain,
% 7.36/5.57 ((~(v200(constB194) <=> (v201(constB194) | v205(constB194)))) | (~v200(constB194))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27759, 27758])).
% 7.36/5.57 tff(27761,plain,
% 7.36/5.57 (~v200(constB194)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27760, 27701])).
% 7.36/5.57 tff(27762,plain,
% 7.36/5.57 ($false),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27761, 27699])).
% 7.36/5.57 tff(27763,plain,(~(constB194 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.36/5.57 tff(27764,assumption,(constB151 = VarCurr!0), introduced(assumption)).
% 7.36/5.57 tff(27765,plain,
% 7.36/5.57 (v200(constB151) <=> v200(VarCurr!0)),
% 7.36/5.57 inference(monotonicity,[status(thm)],[27764])).
% 7.36/5.57 tff(27766,plain,
% 7.36/5.57 (v200(VarCurr!0) <=> v200(constB151)),
% 7.36/5.57 inference(symmetry,[status(thm)],[27765])).
% 7.36/5.57 tff(27767,plain,
% 7.36/5.57 (v200(constB151)),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27, 27766])).
% 7.36/5.57 tff(27768,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB151) <=> (v201(constB151) | v205(constB151)))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27769,plain,
% 7.36/5.57 (v200(constB151) <=> (v201(constB151) | v205(constB151))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27768, 35])).
% 7.36/5.57 tff(27770,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB151) <=> (~((~v157(constB151)) | (~v202(constB151)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB151) <=> (~((~v157(constB151)) | (~v202(constB151))))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27771,plain,
% 7.36/5.57 ((v201(constB151) <=> (~((~v202(constB151)) | (~v157(constB151))))) <=> (v201(constB151) <=> (~((~v157(constB151)) | (~v202(constB151)))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27772,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB151) <=> (~((~v202(constB151)) | (~v157(constB151)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB151) <=> (~((~v157(constB151)) | (~v202(constB151))))))),
% 7.36/5.57 inference(monotonicity,[status(thm)],[27771])).
% 7.36/5.57 tff(27773,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB151) <=> (~((~v202(constB151)) | (~v157(constB151)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB151) <=> (~((~v157(constB151)) | (~v202(constB151))))))),
% 7.36/5.57 inference(transitivity,[status(thm)],[27772, 27770])).
% 7.36/5.57 tff(27774,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB151) <=> (~((~v202(constB151)) | (~v157(constB151)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27775,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB151) <=> (~((~v157(constB151)) | (~v202(constB151)))))),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27774, 27773])).
% 7.36/5.57 tff(27776,plain,
% 7.36/5.57 (v201(constB151) <=> (~((~v157(constB151)) | (~v202(constB151))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27775, 47])).
% 7.36/5.57 tff(27777,plain,
% 7.36/5.57 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB151) <=> v192(constB151))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27778,plain,
% 7.36/5.57 (v157(constB151) <=> v192(constB151)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27777, 15407])).
% 7.36/5.57 tff(27779,plain,
% 7.36/5.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB150, constB151)) | (v192(constB151) <=> v190(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB150, constB151)) | (v192(constB151) <=> v190(constB150)))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27780,plain,
% 7.36/5.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB150, constB151)) | (v192(constB151) <=> v190(constB150)))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27781,plain,
% 7.36/5.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB150, constB151)) | (v192(constB151) <=> v190(constB150))),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27780, 27779])).
% 7.36/5.57 tff(27782,plain,
% 7.36/5.57 (v192(constB151) <=> v190(constB150)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27781, 17882, 15419])).
% 7.36/5.57 tff(27783,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB150) <=> (v193(constB150) | v196(constB150)))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27784,plain,
% 7.36/5.57 (v190(constB150) <=> (v193(constB150) | v196(constB150))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27783, 15430])).
% 7.36/5.57 tff(27785,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB150) <=> (~((~v157(constB150)) | (~v194(constB150)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB150) <=> (~((~v157(constB150)) | (~v194(constB150))))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27786,plain,
% 7.36/5.57 ((v193(constB150) <=> (~((~v194(constB150)) | (~v157(constB150))))) <=> (v193(constB150) <=> (~((~v157(constB150)) | (~v194(constB150)))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27787,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB150) <=> (~((~v194(constB150)) | (~v157(constB150)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB150) <=> (~((~v157(constB150)) | (~v194(constB150))))))),
% 7.36/5.57 inference(monotonicity,[status(thm)],[27786])).
% 7.36/5.57 tff(27788,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB150) <=> (~((~v194(constB150)) | (~v157(constB150)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB150) <=> (~((~v157(constB150)) | (~v194(constB150))))))),
% 7.36/5.57 inference(transitivity,[status(thm)],[27787, 27785])).
% 7.36/5.57 tff(27789,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB150) <=> (~((~v194(constB150)) | (~v157(constB150)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27790,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB150) <=> (~((~v157(constB150)) | (~v194(constB150)))))),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27789, 27788])).
% 7.36/5.57 tff(27791,plain,
% 7.36/5.57 (v193(constB150) <=> (~((~v157(constB150)) | (~v194(constB150))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27790, 15442])).
% 7.36/5.57 tff(27792,plain,
% 7.36/5.57 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB150) <=> v192(constB150))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27793,plain,
% 7.36/5.57 (v157(constB150) <=> v192(constB150)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27792, 15407])).
% 7.36/5.57 tff(27794,plain,
% 7.36/5.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB149, constB150)) | (v192(constB150) <=> v190(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB149, constB150)) | (v192(constB150) <=> v190(constB149)))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27795,plain,
% 7.36/5.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB149, constB150)) | (v192(constB150) <=> v190(constB149)))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27796,plain,
% 7.36/5.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB149, constB150)) | (v192(constB150) <=> v190(constB149))),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27795, 27794])).
% 7.36/5.57 tff(27797,plain,
% 7.36/5.57 (v192(constB150) <=> v190(constB149)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27796, 17918, 15419])).
% 7.36/5.57 tff(27798,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB149) <=> (v193(constB149) | v196(constB149)))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27799,plain,
% 7.36/5.57 (v190(constB149) <=> (v193(constB149) | v196(constB149))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27798, 15430])).
% 7.36/5.57 tff(27800,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB149) <=> (~((~v159(constB149)) | (~v194(constB149)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB149) <=> (~((~v159(constB149)) | (~v194(constB149))))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27801,plain,
% 7.36/5.57 ((v196(constB149) <=> (~((~v194(constB149)) | (~v159(constB149))))) <=> (v196(constB149) <=> (~((~v159(constB149)) | (~v194(constB149)))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27802,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB149) <=> (~((~v194(constB149)) | (~v159(constB149)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB149) <=> (~((~v159(constB149)) | (~v194(constB149))))))),
% 7.36/5.57 inference(monotonicity,[status(thm)],[27801])).
% 7.36/5.57 tff(27803,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB149) <=> (~((~v194(constB149)) | (~v159(constB149)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB149) <=> (~((~v159(constB149)) | (~v194(constB149))))))),
% 7.36/5.57 inference(transitivity,[status(thm)],[27802, 27800])).
% 7.36/5.57 tff(27804,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB149) <=> (~((~v194(constB149)) | (~v159(constB149)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27805,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB149) <=> (~((~v159(constB149)) | (~v194(constB149)))))),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27804, 27803])).
% 7.36/5.57 tff(27806,plain,
% 7.36/5.57 (v196(constB149) <=> (~((~v159(constB149)) | (~v194(constB149))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27805, 15467])).
% 7.36/5.57 tff(27807,plain,
% 7.36/5.57 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB149) <=> v182(constB149))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27808,plain,
% 7.36/5.57 (v159(constB149) <=> v182(constB149)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27807, 15113])).
% 7.36/5.57 tff(27809,plain,
% 7.36/5.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB148, constB149)) | (v182(constB149) <=> v180(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB148, constB149)) | (v182(constB149) <=> v180(constB148)))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27810,plain,
% 7.36/5.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB148, constB149)) | (v182(constB149) <=> v180(constB148)))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27811,plain,
% 7.36/5.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB148, constB149)) | (v182(constB149) <=> v180(constB148))),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27810, 27809])).
% 7.36/5.57 tff(27812,plain,
% 7.36/5.57 (v182(constB149) <=> v180(constB148)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27811, 17948, 15125])).
% 7.36/5.57 tff(27813,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB148) <=> (~((~v183(constB148)) | (~v184(constB148)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27814,plain,
% 7.36/5.57 (v180(constB148) <=> (~((~v183(constB148)) | (~v184(constB148))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27813, 15139])).
% 7.36/5.57 tff(27815,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB148) <=> (~((~v185(constB148)) | (~v161(constB148)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27816,plain,
% 7.36/5.57 (v184(constB148) <=> (~((~v185(constB148)) | (~v161(constB148))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27815, 15151])).
% 7.36/5.57 tff(27817,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB148) <=> (~((~v39(constB148)) | (~v9(constB148)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27818,plain,
% 7.36/5.57 (v185(constB148) <=> (~((~v39(constB148)) | (~v9(constB148))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27817, 93])).
% 7.36/5.57 tff(27819,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB148)) <=> v1(constB148))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27820,plain,
% 7.36/5.57 ((~v39(constB148)) <=> v1(constB148)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27819, 102])).
% 7.36/5.57 tff(27821,plain,
% 7.36/5.57 ((~((~v39(constB148)) <=> v1(constB148))) | (~v39(constB148)) | (~v1(constB148))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27822,plain,
% 7.36/5.57 ((~((~v39(constB148)) <=> v1(constB148))) | (~v39(constB148))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27821, 20068])).
% 7.36/5.57 tff(27823,plain,
% 7.36/5.57 (~v39(constB148)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27822, 27820])).
% 7.36/5.57 tff(27824,plain,
% 7.36/5.57 (((~v39(constB148)) | (~v9(constB148))) | v39(constB148)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27825,plain,
% 7.36/5.57 ((~v39(constB148)) | (~v9(constB148))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27824, 27823])).
% 7.36/5.57 tff(27826,plain,
% 7.36/5.57 ((~(v185(constB148) <=> (~((~v39(constB148)) | (~v9(constB148)))))) | (~v185(constB148)) | (~((~v39(constB148)) | (~v9(constB148))))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27827,plain,
% 7.36/5.57 ((~(v185(constB148) <=> (~((~v39(constB148)) | (~v9(constB148)))))) | (~v185(constB148))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27826, 27825])).
% 7.36/5.57 tff(27828,plain,
% 7.36/5.57 (~v185(constB148)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27827, 27818])).
% 7.36/5.57 tff(27829,plain,
% 7.36/5.57 (((~v185(constB148)) | (~v161(constB148))) | v185(constB148)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27830,plain,
% 7.36/5.57 ((~v185(constB148)) | (~v161(constB148))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27829, 27828])).
% 7.36/5.57 tff(27831,plain,
% 7.36/5.57 ((~(v184(constB148) <=> (~((~v185(constB148)) | (~v161(constB148)))))) | (~v184(constB148)) | (~((~v185(constB148)) | (~v161(constB148))))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27832,plain,
% 7.36/5.57 ((~(v184(constB148) <=> (~((~v185(constB148)) | (~v161(constB148)))))) | (~v184(constB148))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27831, 27830])).
% 7.36/5.57 tff(27833,plain,
% 7.36/5.57 (~v184(constB148)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27832, 27816])).
% 7.36/5.57 tff(27834,plain,
% 7.36/5.57 (((~v183(constB148)) | (~v184(constB148))) | v184(constB148)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27835,plain,
% 7.36/5.57 ((~v183(constB148)) | (~v184(constB148))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27834, 27833])).
% 7.36/5.57 tff(27836,plain,
% 7.36/5.57 ((~(v180(constB148) <=> (~((~v183(constB148)) | (~v184(constB148)))))) | (~v180(constB148)) | (~((~v183(constB148)) | (~v184(constB148))))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27837,plain,
% 7.36/5.57 (~v180(constB148)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27836, 27835, 27814])).
% 7.36/5.57 tff(27838,plain,
% 7.36/5.57 ((~(v182(constB149) <=> v180(constB148))) | (~v182(constB149)) | v180(constB148)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27839,plain,
% 7.36/5.57 (~v182(constB149)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27838, 27837, 27812])).
% 7.36/5.57 tff(27840,plain,
% 7.36/5.57 ((~(v159(constB149) <=> v182(constB149))) | (~v159(constB149)) | v182(constB149)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27841,plain,
% 7.36/5.57 (~v159(constB149)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27840, 27839, 27808])).
% 7.36/5.57 tff(27842,plain,
% 7.36/5.57 (((~v159(constB149)) | (~v194(constB149))) | v159(constB149)),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27843,plain,
% 7.36/5.57 ((~v159(constB149)) | (~v194(constB149))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27842, 27841])).
% 7.36/5.57 tff(27844,plain,
% 7.36/5.57 ((~(v196(constB149) <=> (~((~v159(constB149)) | (~v194(constB149)))))) | (~v196(constB149)) | (~((~v159(constB149)) | (~v194(constB149))))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27845,plain,
% 7.36/5.57 (~v196(constB149)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27844, 27843, 27806])).
% 7.36/5.57 tff(27846,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB149) <=> (~((~v157(constB149)) | (~v194(constB149)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB149) <=> (~((~v157(constB149)) | (~v194(constB149))))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27847,plain,
% 7.36/5.57 ((v193(constB149) <=> (~((~v194(constB149)) | (~v157(constB149))))) <=> (v193(constB149) <=> (~((~v157(constB149)) | (~v194(constB149)))))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27848,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB149) <=> (~((~v194(constB149)) | (~v157(constB149)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB149) <=> (~((~v157(constB149)) | (~v194(constB149))))))),
% 7.36/5.57 inference(monotonicity,[status(thm)],[27847])).
% 7.36/5.57 tff(27849,plain,
% 7.36/5.57 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB149) <=> (~((~v194(constB149)) | (~v157(constB149)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB149) <=> (~((~v157(constB149)) | (~v194(constB149))))))),
% 7.36/5.57 inference(transitivity,[status(thm)],[27848, 27846])).
% 7.36/5.57 tff(27850,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB149) <=> (~((~v194(constB149)) | (~v157(constB149)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27851,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB149) <=> (~((~v157(constB149)) | (~v194(constB149)))))),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27850, 27849])).
% 7.36/5.57 tff(27852,plain,
% 7.36/5.57 (v193(constB149) <=> (~((~v157(constB149)) | (~v194(constB149))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27851, 15442])).
% 7.36/5.57 tff(27853,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB149)) <=> v195(constB149))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27854,plain,
% 7.36/5.57 ((~v194(constB149)) <=> v195(constB149)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27853, 15527])).
% 7.36/5.57 tff(27855,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB149) <=> (v185(constB149) | v26(constB149)))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27856,plain,
% 7.36/5.57 (v195(constB149) <=> (v185(constB149) | v26(constB149))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27855, 15536])).
% 7.36/5.57 tff(27857,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB149) <=> (~((~v39(constB149)) | (~v9(constB149)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27858,plain,
% 7.36/5.57 (v185(constB149) <=> (~((~v39(constB149)) | (~v9(constB149))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27857, 93])).
% 7.36/5.57 tff(27859,plain,
% 7.36/5.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149)))),
% 7.36/5.57 inference(rewrite,[status(thm)],[])).
% 7.36/5.57 tff(27860,plain,
% 7.36/5.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149)))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27861,plain,
% 7.36/5.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149))),
% 7.36/5.57 inference(modus_ponens,[status(thm)],[27860, 27859])).
% 7.36/5.57 tff(27862,plain,
% 7.36/5.57 (v13(constB150) <=> v9(constB149)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27861, 17918, 15550])).
% 7.36/5.57 tff(27863,plain,
% 7.36/5.57 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB150) <=> v13(constB150))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27864,plain,
% 7.36/5.57 (v6(constB150) <=> v13(constB150)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27863, 15564])).
% 7.36/5.57 tff(27865,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB150)) <=> v6(constB150))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27866,plain,
% 7.36/5.57 ((~v21(constB150)) <=> v6(constB150)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27865, 15573])).
% 7.36/5.57 tff(27867,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB150) <=> (v20(constB150) | v21(constB150)))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27868,plain,
% 7.36/5.57 (v19(constB150) <=> (v20(constB150) | v21(constB150))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27867, 15582])).
% 7.36/5.57 tff(27869,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150)))))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27870,plain,
% 7.36/5.57 (v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150))))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27869, 15594])).
% 7.36/5.57 tff(27871,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB150)) <=> v18(constB150))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27872,plain,
% 7.36/5.57 ((~v4(constB150)) <=> v18(constB150)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27871, 15603])).
% 7.36/5.57 tff(27873,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB150)),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27874,plain,
% 7.36/5.57 (v4(constB150)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27873, 15612])).
% 7.36/5.57 tff(27875,plain,
% 7.36/5.57 ((~((~v4(constB150)) <=> v18(constB150))) | (~v4(constB150)) | (~v18(constB150))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27876,plain,
% 7.36/5.57 (~v18(constB150)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27875, 27874, 27872])).
% 7.36/5.57 tff(27877,plain,
% 7.36/5.57 ((~(v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150)))))) | v18(constB150) | ((~v19(constB150)) | (~v22(constB150)))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27878,plain,
% 7.36/5.57 ((~v19(constB150)) | (~v22(constB150))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27877, 27876, 27870])).
% 7.36/5.57 tff(27879,plain,
% 7.36/5.57 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB150) <=> (v1(constB150) | v6(constB150)))),
% 7.36/5.57 inference(quant_inst,[status(thm)],[])).
% 7.36/5.57 tff(27880,plain,
% 7.36/5.57 (v22(constB150) <=> (v1(constB150) | v6(constB150))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27879, 15625])).
% 7.36/5.57 tff(27881,plain,
% 7.36/5.57 ((v1(constB150) | v6(constB150)) | (~v1(constB150))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27882,plain,
% 7.36/5.57 (v1(constB150) | v6(constB150)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27881, 20226])).
% 7.36/5.57 tff(27883,plain,
% 7.36/5.57 ((~(v22(constB150) <=> (v1(constB150) | v6(constB150)))) | v22(constB150) | (~(v1(constB150) | v6(constB150)))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27884,plain,
% 7.36/5.57 ((~(v22(constB150) <=> (v1(constB150) | v6(constB150)))) | v22(constB150)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27883, 27882])).
% 7.36/5.57 tff(27885,plain,
% 7.36/5.57 (v22(constB150)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27884, 27880])).
% 7.36/5.57 tff(27886,plain,
% 7.36/5.57 ((~((~v19(constB150)) | (~v22(constB150)))) | (~v19(constB150)) | (~v22(constB150))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27887,plain,
% 7.36/5.57 ((~((~v19(constB150)) | (~v22(constB150)))) | (~v19(constB150))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27886, 27885])).
% 7.36/5.57 tff(27888,plain,
% 7.36/5.57 (~v19(constB150)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27887, 27878])).
% 7.36/5.57 tff(27889,plain,
% 7.36/5.57 ((~(v19(constB150) <=> (v20(constB150) | v21(constB150)))) | v19(constB150) | (~(v20(constB150) | v21(constB150)))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27890,plain,
% 7.36/5.57 (~(v20(constB150) | v21(constB150))),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27889, 27888, 27868])).
% 7.36/5.57 tff(27891,plain,
% 7.36/5.57 ((v20(constB150) | v21(constB150)) | (~v21(constB150))),
% 7.36/5.57 inference(tautology,[status(thm)],[])).
% 7.36/5.57 tff(27892,plain,
% 7.36/5.57 (~v21(constB150)),
% 7.36/5.57 inference(unit_resolution,[status(thm)],[27891, 27890])).
% 7.36/5.57 tff(27893,plain,
% 7.36/5.57 ((~((~v21(constB150)) <=> v6(constB150))) | v21(constB150) | v6(constB150)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27894,plain,
% 7.36/5.58 (v6(constB150)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27893, 27892, 27866])).
% 7.36/5.58 tff(27895,plain,
% 7.36/5.58 ((~(v6(constB150) <=> v13(constB150))) | (~v6(constB150)) | v13(constB150)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27896,plain,
% 7.36/5.58 (v13(constB150)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27895, 27894, 27864])).
% 7.36/5.58 tff(27897,plain,
% 7.36/5.58 ((~(v13(constB150) <=> v9(constB149))) | (~v13(constB150)) | v9(constB149)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27898,plain,
% 7.36/5.58 (v9(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27897, 27896, 27862])).
% 7.36/5.58 tff(27899,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB149)) <=> v1(constB149))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(27900,plain,
% 7.36/5.58 ((~v39(constB149)) <=> v1(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27899, 102])).
% 7.36/5.58 tff(27901,plain,
% 7.36/5.58 ((~((~v39(constB149)) <=> v1(constB149))) | v39(constB149) | v1(constB149)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27902,plain,
% 7.36/5.58 ((~((~v39(constB149)) <=> v1(constB149))) | v39(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27901, 17962])).
% 7.36/5.58 tff(27903,plain,
% 7.36/5.58 (v39(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27902, 27900])).
% 7.36/5.58 tff(27904,plain,
% 7.36/5.58 ((~((~v39(constB149)) | (~v9(constB149)))) | (~v39(constB149)) | (~v9(constB149))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27905,plain,
% 7.36/5.58 ((~((~v39(constB149)) | (~v9(constB149)))) | (~v9(constB149))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27904, 27903])).
% 7.36/5.58 tff(27906,plain,
% 7.36/5.58 (~((~v39(constB149)) | (~v9(constB149)))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27905, 27898])).
% 7.36/5.58 tff(27907,plain,
% 7.36/5.58 ((~(v185(constB149) <=> (~((~v39(constB149)) | (~v9(constB149)))))) | v185(constB149) | ((~v39(constB149)) | (~v9(constB149)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27908,plain,
% 7.36/5.58 (v185(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27907, 27906, 27858])).
% 7.36/5.58 tff(27909,plain,
% 7.36/5.58 ((v185(constB149) | v26(constB149)) | (~v185(constB149))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27910,plain,
% 7.36/5.58 (v185(constB149) | v26(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27909, 27908])).
% 7.36/5.58 tff(27911,plain,
% 7.36/5.58 ((~(v195(constB149) <=> (v185(constB149) | v26(constB149)))) | v195(constB149) | (~(v185(constB149) | v26(constB149)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27912,plain,
% 7.36/5.58 (v195(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27911, 27910, 27856])).
% 7.36/5.58 tff(27913,plain,
% 7.36/5.58 ((~((~v194(constB149)) <=> v195(constB149))) | (~v194(constB149)) | (~v195(constB149))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27914,plain,
% 7.36/5.58 (~v194(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27913, 27912, 27854])).
% 7.36/5.58 tff(27915,plain,
% 7.36/5.58 (((~v157(constB149)) | (~v194(constB149))) | v194(constB149)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27916,plain,
% 7.36/5.58 ((~v157(constB149)) | (~v194(constB149))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27915, 27914])).
% 7.36/5.58 tff(27917,plain,
% 7.36/5.58 ((~(v193(constB149) <=> (~((~v157(constB149)) | (~v194(constB149)))))) | (~v193(constB149)) | (~((~v157(constB149)) | (~v194(constB149))))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27918,plain,
% 7.36/5.58 (~v193(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27917, 27916, 27852])).
% 7.36/5.58 tff(27919,plain,
% 7.36/5.58 ((~(v193(constB149) | v196(constB149))) | v193(constB149) | v196(constB149)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27920,plain,
% 7.36/5.58 (~(v193(constB149) | v196(constB149))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27919, 27918, 27845])).
% 7.36/5.58 tff(27921,plain,
% 7.36/5.58 ((~(v190(constB149) <=> (v193(constB149) | v196(constB149)))) | (~v190(constB149)) | (v193(constB149) | v196(constB149))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27922,plain,
% 7.36/5.58 (~v190(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27921, 27920, 27799])).
% 7.36/5.58 tff(27923,plain,
% 7.36/5.58 ((~(v192(constB150) <=> v190(constB149))) | (~v192(constB150)) | v190(constB149)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27924,plain,
% 7.36/5.58 (~v192(constB150)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27923, 27922, 27797])).
% 7.36/5.58 tff(27925,plain,
% 7.36/5.58 ((~(v157(constB150) <=> v192(constB150))) | (~v157(constB150)) | v192(constB150)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27926,plain,
% 7.36/5.58 (~v157(constB150)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27925, 27924, 27793])).
% 7.36/5.58 tff(27927,plain,
% 7.36/5.58 (((~v157(constB150)) | (~v194(constB150))) | v157(constB150)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27928,plain,
% 7.36/5.58 ((~v157(constB150)) | (~v194(constB150))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27927, 27926])).
% 7.36/5.58 tff(27929,plain,
% 7.36/5.58 ((~(v193(constB150) <=> (~((~v157(constB150)) | (~v194(constB150)))))) | (~v193(constB150)) | (~((~v157(constB150)) | (~v194(constB150))))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27930,plain,
% 7.36/5.58 (~v193(constB150)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27929, 27928, 27791])).
% 7.36/5.58 tff(27931,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB150) <=> (~((~v159(constB150)) | (~v194(constB150)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB150) <=> (~((~v159(constB150)) | (~v194(constB150))))))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(27932,plain,
% 7.36/5.58 ((v196(constB150) <=> (~((~v194(constB150)) | (~v159(constB150))))) <=> (v196(constB150) <=> (~((~v159(constB150)) | (~v194(constB150)))))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(27933,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB150) <=> (~((~v194(constB150)) | (~v159(constB150)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB150) <=> (~((~v159(constB150)) | (~v194(constB150))))))),
% 7.36/5.58 inference(monotonicity,[status(thm)],[27932])).
% 7.36/5.58 tff(27934,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB150) <=> (~((~v194(constB150)) | (~v159(constB150)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB150) <=> (~((~v159(constB150)) | (~v194(constB150))))))),
% 7.36/5.58 inference(transitivity,[status(thm)],[27933, 27931])).
% 7.36/5.58 tff(27935,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB150) <=> (~((~v194(constB150)) | (~v159(constB150)))))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(27936,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB150) <=> (~((~v159(constB150)) | (~v194(constB150)))))),
% 7.36/5.58 inference(modus_ponens,[status(thm)],[27935, 27934])).
% 7.36/5.58 tff(27937,plain,
% 7.36/5.58 (v196(constB150) <=> (~((~v159(constB150)) | (~v194(constB150))))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27936, 15467])).
% 7.36/5.58 tff(27938,plain,
% 7.36/5.58 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB150) <=> v182(constB150))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(27939,plain,
% 7.36/5.58 (v159(constB150) <=> v182(constB150)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27938, 15113])).
% 7.36/5.58 tff(27940,plain,
% 7.36/5.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB149, constB150)) | (v182(constB150) <=> v180(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB149, constB150)) | (v182(constB150) <=> v180(constB149)))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(27941,plain,
% 7.36/5.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB149, constB150)) | (v182(constB150) <=> v180(constB149)))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(27942,plain,
% 7.36/5.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB149, constB150)) | (v182(constB150) <=> v180(constB149))),
% 7.36/5.58 inference(modus_ponens,[status(thm)],[27941, 27940])).
% 7.36/5.58 tff(27943,plain,
% 7.36/5.58 (v182(constB150) <=> v180(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27942, 17918, 15125])).
% 7.36/5.58 tff(27944,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB149) <=> (~((~v183(constB149)) | (~v184(constB149)))))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(27945,plain,
% 7.36/5.58 (v180(constB149) <=> (~((~v183(constB149)) | (~v184(constB149))))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27944, 15139])).
% 7.36/5.58 tff(27946,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB149) <=> (~((~v185(constB149)) | (~v161(constB149)))))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(27947,plain,
% 7.36/5.58 (v184(constB149) <=> (~((~v185(constB149)) | (~v161(constB149))))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27946, 15151])).
% 7.36/5.58 tff(27948,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB149) <=> v163(constB149))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(27949,plain,
% 7.36/5.58 (v161(constB149) <=> v163(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27948, 15701])).
% 7.36/5.58 tff(27950,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB149) <=> (v145(constB149) | v167(constB149)))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(27951,plain,
% 7.36/5.58 (v166(constB149) <=> (v145(constB149) | v167(constB149))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27950, 15713])).
% 7.36/5.58 tff(27952,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB149) <=> (v142(constB149) | v168(constB149)))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(27953,plain,
% 7.36/5.58 (v167(constB149) <=> (v142(constB149) | v168(constB149))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27952, 15725])).
% 7.36/5.58 tff(27954,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB149) <=> (v143(constB149) | v144(constB149)))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(27955,plain,
% 7.36/5.58 (v142(constB149) <=> (v143(constB149) | v144(constB149))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27954, 221])).
% 7.36/5.58 tff(27956,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB149) <=> (~((~v88(constB149, 1)) | v88(constB149, 2) | v88(constB149, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB149) <=> (~((~v88(constB149, 1)) | v88(constB149, 2) | v88(constB149, 0)))))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(27957,plain,
% 7.36/5.58 ((v143(constB149) <=> (~(v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1))))) <=> (v143(constB149) <=> (~((~v88(constB149, 1)) | v88(constB149, 2) | v88(constB149, 0))))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(27958,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB149) <=> (~(v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB149) <=> (~((~v88(constB149, 1)) | v88(constB149, 2) | v88(constB149, 0)))))),
% 7.36/5.58 inference(monotonicity,[status(thm)],[27957])).
% 7.36/5.58 tff(27959,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB149) <=> (~(v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB149) <=> (~((~v88(constB149, 1)) | v88(constB149, 2) | v88(constB149, 0)))))),
% 7.36/5.58 inference(transitivity,[status(thm)],[27958, 27956])).
% 7.36/5.58 tff(27960,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB149) <=> (~(v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)))))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(27961,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB149) <=> (~((~v88(constB149, 1)) | v88(constB149, 2) | v88(constB149, 0))))),
% 7.36/5.58 inference(modus_ponens,[status(thm)],[27960, 27959])).
% 7.36/5.58 tff(27962,plain,
% 7.36/5.58 (v143(constB149) <=> (~((~v88(constB149, 1)) | v88(constB149, 2) | v88(constB149, 0)))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27961, 236])).
% 7.36/5.58 tff(27963,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB149, 1)) <=> v90(constB149, 1)) | ((~v88(constB149, 2)) <=> v90(constB149, 2)) | ((~v88(constB149, 0)) <=> v90(constB149, 0))))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(27964,plain,
% 7.36/5.58 (~(((~v88(constB149, 1)) <=> v90(constB149, 1)) | ((~v88(constB149, 2)) <=> v90(constB149, 2)) | ((~v88(constB149, 0)) <=> v90(constB149, 0)))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27963, 256])).
% 7.36/5.58 tff(27965,plain,
% 7.36/5.58 ((((~v88(constB149, 1)) <=> v90(constB149, 1)) | ((~v88(constB149, 2)) <=> v90(constB149, 2)) | ((~v88(constB149, 0)) <=> v90(constB149, 0))) | (~((~v88(constB149, 2)) <=> v90(constB149, 2)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27966,plain,
% 7.36/5.58 (~((~v88(constB149, 2)) <=> v90(constB149, 2))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27965, 27964])).
% 7.36/5.58 tff(27967,plain,
% 7.36/5.58 (((~v88(constB149, 2)) <=> v90(constB149, 2)) | (~v88(constB149, 2)) | v90(constB149, 2)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27968,plain,
% 7.36/5.58 (~v88(constB149, 2)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27967, 20148, 27966])).
% 7.36/5.58 tff(27969,plain,
% 7.36/5.58 ((((~v88(constB149, 1)) <=> v90(constB149, 1)) | ((~v88(constB149, 2)) <=> v90(constB149, 2)) | ((~v88(constB149, 0)) <=> v90(constB149, 0))) | (~((~v88(constB149, 0)) <=> v90(constB149, 0)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27970,plain,
% 7.36/5.58 (~((~v88(constB149, 0)) <=> v90(constB149, 0))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27969, 27964])).
% 7.36/5.58 tff(27971,plain,
% 7.36/5.58 (((~v88(constB149, 0)) <=> v90(constB149, 0)) | (~v88(constB149, 0)) | v90(constB149, 0)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27972,plain,
% 7.36/5.58 (~v88(constB149, 0)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27971, 20166, 27970])).
% 7.36/5.58 tff(27973,plain,
% 7.36/5.58 ((((~v88(constB149, 1)) <=> v90(constB149, 1)) | ((~v88(constB149, 2)) <=> v90(constB149, 2)) | ((~v88(constB149, 0)) <=> v90(constB149, 0))) | (~((~v88(constB149, 1)) <=> v90(constB149, 1)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27974,plain,
% 7.36/5.58 (~((~v88(constB149, 1)) <=> v90(constB149, 1))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27973, 27964])).
% 7.36/5.58 tff(27975,plain,
% 7.36/5.58 (((~v88(constB149, 1)) <=> v90(constB149, 1)) | v88(constB149, 1) | (~v90(constB149, 1))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27976,plain,
% 7.36/5.58 (v88(constB149, 1)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27975, 20184, 27974])).
% 7.36/5.58 tff(27977,plain,
% 7.36/5.58 ((~((~v88(constB149, 1)) | v88(constB149, 2) | v88(constB149, 0))) | (~v88(constB149, 1)) | v88(constB149, 2) | v88(constB149, 0)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27978,plain,
% 7.36/5.58 (~((~v88(constB149, 1)) | v88(constB149, 2) | v88(constB149, 0))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27977, 27976, 27972, 27968])).
% 7.36/5.58 tff(27979,plain,
% 7.36/5.58 ((~(v143(constB149) <=> (~((~v88(constB149, 1)) | v88(constB149, 2) | v88(constB149, 0))))) | v143(constB149) | ((~v88(constB149, 1)) | v88(constB149, 2) | v88(constB149, 0))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27980,plain,
% 7.36/5.58 (v143(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27979, 27978, 27962])).
% 7.36/5.58 tff(27981,plain,
% 7.36/5.58 ((v143(constB149) | v144(constB149)) | (~v143(constB149))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27982,plain,
% 7.36/5.58 (v143(constB149) | v144(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27981, 27980])).
% 7.36/5.58 tff(27983,plain,
% 7.36/5.58 ((~(v142(constB149) <=> (v143(constB149) | v144(constB149)))) | v142(constB149) | (~(v143(constB149) | v144(constB149)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27984,plain,
% 7.36/5.58 (v142(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27983, 27982, 27955])).
% 7.36/5.58 tff(27985,plain,
% 7.36/5.58 ((v142(constB149) | v168(constB149)) | (~v142(constB149))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27986,plain,
% 7.36/5.58 (v142(constB149) | v168(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27985, 27984])).
% 7.36/5.58 tff(27987,plain,
% 7.36/5.58 ((~(v167(constB149) <=> (v142(constB149) | v168(constB149)))) | v167(constB149) | (~(v142(constB149) | v168(constB149)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27988,plain,
% 7.36/5.58 ((~(v167(constB149) <=> (v142(constB149) | v168(constB149)))) | v167(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27987, 27986])).
% 7.36/5.58 tff(27989,plain,
% 7.36/5.58 (v167(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27988, 27953])).
% 7.36/5.58 tff(27990,plain,
% 7.36/5.58 ((v145(constB149) | v167(constB149)) | (~v167(constB149))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27991,plain,
% 7.36/5.58 (v145(constB149) | v167(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27990, 27989])).
% 7.36/5.58 tff(27992,plain,
% 7.36/5.58 ((~(v166(constB149) <=> (v145(constB149) | v167(constB149)))) | v166(constB149) | (~(v145(constB149) | v167(constB149)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(27993,plain,
% 7.36/5.58 (v166(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27992, 27991, 27951])).
% 7.36/5.58 tff(27994,plain,
% 7.36/5.58 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB149)) | (v163(constB149) <=> v170(constB149)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB149)) | (v163(constB149) <=> v170(constB149)))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(27995,plain,
% 7.36/5.58 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB149)) | (v163(constB149) <=> v170(constB149)))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(27996,plain,
% 7.36/5.58 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB149)) | (v163(constB149) <=> v170(constB149))),
% 7.36/5.58 inference(modus_ponens,[status(thm)],[27995, 27994])).
% 7.36/5.58 tff(27997,plain,
% 7.36/5.58 ((~v166(constB149)) | (v163(constB149) <=> v170(constB149))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27996, 15777])).
% 7.36/5.58 tff(27998,plain,
% 7.36/5.58 (v163(constB149) <=> v170(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27997, 27993])).
% 7.36/5.58 tff(27999,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB149) <=> (~(v88(constB149, 0) | v88(constB149, 1) | v88(constB149, 2))))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28000,plain,
% 7.36/5.58 (v139(constB149) <=> (~(v88(constB149, 0) | v88(constB149, 1) | v88(constB149, 2)))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[27999, 15795])).
% 7.36/5.58 tff(28001,plain,
% 7.36/5.58 ((v88(constB149, 0) | v88(constB149, 1) | v88(constB149, 2)) | (~v88(constB149, 1))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28002,plain,
% 7.36/5.58 (v88(constB149, 0) | v88(constB149, 1) | v88(constB149, 2)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28001, 27976])).
% 7.36/5.58 tff(28003,plain,
% 7.36/5.58 ((~(v139(constB149) <=> (~(v88(constB149, 0) | v88(constB149, 1) | v88(constB149, 2))))) | (~v139(constB149)) | (~(v88(constB149, 0) | v88(constB149, 1) | v88(constB149, 2)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28004,plain,
% 7.36/5.58 (~v139(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28003, 28002, 28000])).
% 7.36/5.58 tff(28005,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB149) <=> (~(v88(constB149, 1) | v88(constB149, 2) | (~v88(constB149, 0)))))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28006,plain,
% 7.36/5.58 (v140(constB149) <=> (~(v88(constB149, 1) | v88(constB149, 2) | (~v88(constB149, 0))))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28005, 15814])).
% 7.36/5.58 tff(28007,plain,
% 7.36/5.58 ((v88(constB149, 1) | v88(constB149, 2) | (~v88(constB149, 0))) | (~v88(constB149, 1))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28008,plain,
% 7.36/5.58 (v88(constB149, 1) | v88(constB149, 2) | (~v88(constB149, 0))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28007, 27976])).
% 7.36/5.58 tff(28009,plain,
% 7.36/5.58 ((~(v140(constB149) <=> (~(v88(constB149, 1) | v88(constB149, 2) | (~v88(constB149, 0)))))) | (~v140(constB149)) | (~(v88(constB149, 1) | v88(constB149, 2) | (~v88(constB149, 0))))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28010,plain,
% 7.36/5.58 (~v140(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28009, 28008, 28006])).
% 7.36/5.58 tff(28011,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v170(constB149)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB149) | v139(constB149) | (~v170(constB149)))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(28012,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v170(constB149)))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28013,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB149) | v139(constB149) | (~v170(constB149))),
% 7.36/5.58 inference(modus_ponens,[status(thm)],[28012, 28011])).
% 7.36/5.58 tff(28014,plain,
% 7.36/5.58 (v140(constB149) | v139(constB149) | (~v170(constB149))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28013, 15833])).
% 7.36/5.58 tff(28015,plain,
% 7.36/5.58 (~v170(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28014, 28010, 28004])).
% 7.36/5.58 tff(28016,plain,
% 7.36/5.58 ((~(v163(constB149) <=> v170(constB149))) | (~v163(constB149)) | v170(constB149)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28017,plain,
% 7.36/5.58 ((~(v163(constB149) <=> v170(constB149))) | (~v163(constB149))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28016, 28015])).
% 7.36/5.58 tff(28018,plain,
% 7.36/5.58 (~v163(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28017, 27998])).
% 7.36/5.58 tff(28019,plain,
% 7.36/5.58 ((~(v161(constB149) <=> v163(constB149))) | (~v161(constB149)) | v163(constB149)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28020,plain,
% 7.36/5.58 ((~(v161(constB149) <=> v163(constB149))) | (~v161(constB149))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28019, 28018])).
% 7.36/5.58 tff(28021,plain,
% 7.36/5.58 (~v161(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28020, 27949])).
% 7.36/5.58 tff(28022,plain,
% 7.36/5.58 (((~v185(constB149)) | (~v161(constB149))) | v161(constB149)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28023,plain,
% 7.36/5.58 ((~v185(constB149)) | (~v161(constB149))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28022, 28021])).
% 7.36/5.58 tff(28024,plain,
% 7.36/5.58 ((~(v184(constB149) <=> (~((~v185(constB149)) | (~v161(constB149)))))) | (~v184(constB149)) | (~((~v185(constB149)) | (~v161(constB149))))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28025,plain,
% 7.36/5.58 (~v184(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28024, 28023, 27947])).
% 7.36/5.58 tff(28026,plain,
% 7.36/5.58 (((~v183(constB149)) | (~v184(constB149))) | v184(constB149)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28027,plain,
% 7.36/5.58 ((~v183(constB149)) | (~v184(constB149))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28026, 28025])).
% 7.36/5.58 tff(28028,plain,
% 7.36/5.58 ((~(v180(constB149) <=> (~((~v183(constB149)) | (~v184(constB149)))))) | (~v180(constB149)) | (~((~v183(constB149)) | (~v184(constB149))))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28029,plain,
% 7.36/5.58 (~v180(constB149)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28028, 28027, 27945])).
% 7.36/5.58 tff(28030,plain,
% 7.36/5.58 ((~(v182(constB150) <=> v180(constB149))) | (~v182(constB150)) | v180(constB149)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28031,plain,
% 7.36/5.58 (~v182(constB150)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28030, 28029, 27943])).
% 7.36/5.58 tff(28032,plain,
% 7.36/5.58 ((~(v159(constB150) <=> v182(constB150))) | (~v159(constB150)) | v182(constB150)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28033,plain,
% 7.36/5.58 (~v159(constB150)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28032, 28031, 27939])).
% 7.36/5.58 tff(28034,plain,
% 7.36/5.58 (((~v159(constB150)) | (~v194(constB150))) | v159(constB150)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28035,plain,
% 7.36/5.58 ((~v159(constB150)) | (~v194(constB150))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28034, 28033])).
% 7.36/5.58 tff(28036,plain,
% 7.36/5.58 ((~(v196(constB150) <=> (~((~v159(constB150)) | (~v194(constB150)))))) | (~v196(constB150)) | (~((~v159(constB150)) | (~v194(constB150))))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28037,plain,
% 7.36/5.58 (~v196(constB150)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28036, 28035, 27937])).
% 7.36/5.58 tff(28038,plain,
% 7.36/5.58 ((~(v193(constB150) | v196(constB150))) | v193(constB150) | v196(constB150)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28039,plain,
% 7.36/5.58 (~(v193(constB150) | v196(constB150))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28038, 28037, 27930])).
% 7.36/5.58 tff(28040,plain,
% 7.36/5.58 ((~(v190(constB150) <=> (v193(constB150) | v196(constB150)))) | (~v190(constB150)) | (v193(constB150) | v196(constB150))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28041,plain,
% 7.36/5.58 (~v190(constB150)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28040, 28039, 27784])).
% 7.36/5.58 tff(28042,plain,
% 7.36/5.58 ((~(v192(constB151) <=> v190(constB150))) | (~v192(constB151)) | v190(constB150)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28043,plain,
% 7.36/5.58 (~v192(constB151)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28042, 28041, 27782])).
% 7.36/5.58 tff(28044,plain,
% 7.36/5.58 ((~(v157(constB151) <=> v192(constB151))) | (~v157(constB151)) | v192(constB151)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28045,plain,
% 7.36/5.58 (~v157(constB151)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28044, 28043, 27778])).
% 7.36/5.58 tff(28046,plain,
% 7.36/5.58 (((~v157(constB151)) | (~v202(constB151))) | v157(constB151)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28047,plain,
% 7.36/5.58 ((~v157(constB151)) | (~v202(constB151))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28046, 28045])).
% 7.36/5.58 tff(28048,plain,
% 7.36/5.58 ((~(v201(constB151) <=> (~((~v157(constB151)) | (~v202(constB151)))))) | (~v201(constB151)) | (~((~v157(constB151)) | (~v202(constB151))))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28049,plain,
% 7.36/5.58 (~v201(constB151)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28048, 28047, 27776])).
% 7.36/5.58 tff(28050,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB151) <=> (~((~v159(constB151)) | (~v202(constB151)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB151) <=> (~((~v159(constB151)) | (~v202(constB151))))))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(28051,plain,
% 7.36/5.58 ((v205(constB151) <=> (~((~v202(constB151)) | (~v159(constB151))))) <=> (v205(constB151) <=> (~((~v159(constB151)) | (~v202(constB151)))))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(28052,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB151) <=> (~((~v202(constB151)) | (~v159(constB151)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB151) <=> (~((~v159(constB151)) | (~v202(constB151))))))),
% 7.36/5.58 inference(monotonicity,[status(thm)],[28051])).
% 7.36/5.58 tff(28053,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB151) <=> (~((~v202(constB151)) | (~v159(constB151)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB151) <=> (~((~v159(constB151)) | (~v202(constB151))))))),
% 7.36/5.58 inference(transitivity,[status(thm)],[28052, 28050])).
% 7.36/5.58 tff(28054,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB151) <=> (~((~v202(constB151)) | (~v159(constB151)))))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28055,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB151) <=> (~((~v159(constB151)) | (~v202(constB151)))))),
% 7.36/5.58 inference(modus_ponens,[status(thm)],[28054, 28053])).
% 7.36/5.58 tff(28056,plain,
% 7.36/5.58 (v205(constB151) <=> (~((~v159(constB151)) | (~v202(constB151))))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28055, 138])).
% 7.36/5.58 tff(28057,plain,
% 7.36/5.58 (((~v159(constB151)) | (~v202(constB151))) | v159(constB151)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28058,plain,
% 7.36/5.58 ((~v159(constB151)) | (~v202(constB151))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28057, 26131])).
% 7.36/5.58 tff(28059,plain,
% 7.36/5.58 ((~(v205(constB151) <=> (~((~v159(constB151)) | (~v202(constB151)))))) | (~v205(constB151)) | (~((~v159(constB151)) | (~v202(constB151))))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28060,plain,
% 7.36/5.58 (~v205(constB151)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28059, 28058, 28056])).
% 7.36/5.58 tff(28061,plain,
% 7.36/5.58 ((~(v201(constB151) | v205(constB151))) | v201(constB151) | v205(constB151)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28062,plain,
% 7.36/5.58 ((~(v201(constB151) | v205(constB151))) | v201(constB151)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28061, 28060])).
% 7.36/5.58 tff(28063,plain,
% 7.36/5.58 (~(v201(constB151) | v205(constB151))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28062, 28049])).
% 7.36/5.58 tff(28064,plain,
% 7.36/5.58 ((~(v200(constB151) <=> (v201(constB151) | v205(constB151)))) | (~v200(constB151)) | (v201(constB151) | v205(constB151))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28065,plain,
% 7.36/5.58 (~v200(constB151)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28064, 28063, 27769])).
% 7.36/5.58 tff(28066,plain,
% 7.36/5.58 ($false),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28065, 27767])).
% 7.36/5.58 tff(28067,plain,(~(constB151 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.36/5.58 tff(28068,assumption,(constB9 = VarCurr!0), introduced(assumption)).
% 7.36/5.58 tff(28069,plain,
% 7.36/5.58 (v200(constB9) <=> v200(VarCurr!0)),
% 7.36/5.58 inference(monotonicity,[status(thm)],[28068])).
% 7.36/5.58 tff(28070,plain,
% 7.36/5.58 (v200(VarCurr!0) <=> v200(constB9)),
% 7.36/5.58 inference(symmetry,[status(thm)],[28069])).
% 7.36/5.58 tff(28071,plain,
% 7.36/5.58 (v200(constB9)),
% 7.36/5.58 inference(modus_ponens,[status(thm)],[27, 28070])).
% 7.36/5.58 tff(28072,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB9) <=> (v201(constB9) | v205(constB9)))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28073,plain,
% 7.36/5.58 (v200(constB9) <=> (v201(constB9) | v205(constB9))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28072, 35])).
% 7.36/5.58 tff(28074,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB9) <=> (~((~v157(constB9)) | (~v202(constB9)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB9) <=> (~((~v157(constB9)) | (~v202(constB9))))))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(28075,plain,
% 7.36/5.58 ((v201(constB9) <=> (~((~v202(constB9)) | (~v157(constB9))))) <=> (v201(constB9) <=> (~((~v157(constB9)) | (~v202(constB9)))))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(28076,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB9) <=> (~((~v202(constB9)) | (~v157(constB9)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB9) <=> (~((~v157(constB9)) | (~v202(constB9))))))),
% 7.36/5.58 inference(monotonicity,[status(thm)],[28075])).
% 7.36/5.58 tff(28077,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB9) <=> (~((~v202(constB9)) | (~v157(constB9)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB9) <=> (~((~v157(constB9)) | (~v202(constB9))))))),
% 7.36/5.58 inference(transitivity,[status(thm)],[28076, 28074])).
% 7.36/5.58 tff(28078,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB9) <=> (~((~v202(constB9)) | (~v157(constB9)))))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28079,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB9) <=> (~((~v157(constB9)) | (~v202(constB9)))))),
% 7.36/5.58 inference(modus_ponens,[status(thm)],[28078, 28077])).
% 7.36/5.58 tff(28080,plain,
% 7.36/5.58 (v201(constB9) <=> (~((~v157(constB9)) | (~v202(constB9))))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28079, 47])).
% 7.36/5.58 tff(28081,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB9) <=> (~((~v183(constB9)) | (~v203(constB9)))))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28082,plain,
% 7.36/5.58 (v202(constB9) <=> (~((~v183(constB9)) | (~v203(constB9))))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28081, 64])).
% 7.36/5.58 tff(28083,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB9) <=> (~((~v185(constB9)) | (~v204(constB9)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB9) <=> (~((~v185(constB9)) | (~v204(constB9))))))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(28084,plain,
% 7.36/5.58 ((v203(constB9) <=> (~((~v204(constB9)) | (~v185(constB9))))) <=> (v203(constB9) <=> (~((~v185(constB9)) | (~v204(constB9)))))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(28085,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB9) <=> (~((~v204(constB9)) | (~v185(constB9)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB9) <=> (~((~v185(constB9)) | (~v204(constB9))))))),
% 7.36/5.58 inference(monotonicity,[status(thm)],[28084])).
% 7.36/5.58 tff(28086,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB9) <=> (~((~v204(constB9)) | (~v185(constB9)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB9) <=> (~((~v185(constB9)) | (~v204(constB9))))))),
% 7.36/5.58 inference(transitivity,[status(thm)],[28085, 28083])).
% 7.36/5.58 tff(28087,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB9) <=> (~((~v204(constB9)) | (~v185(constB9)))))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28088,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB9) <=> (~((~v185(constB9)) | (~v204(constB9)))))),
% 7.36/5.58 inference(modus_ponens,[status(thm)],[28087, 28086])).
% 7.36/5.58 tff(28089,plain,
% 7.36/5.58 (v203(constB9) <=> (~((~v185(constB9)) | (~v204(constB9))))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28088, 76])).
% 7.36/5.58 tff(28090,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))) | ((~v204(constB9)) <=> v84(constB9))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28091,plain,
% 7.36/5.58 ((~v204(constB9)) <=> v84(constB9)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28090, 185])).
% 7.36/5.58 tff(28092,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB9) <=> v86(constB9))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28093,plain,
% 7.36/5.58 (v84(constB9) <=> v86(constB9)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28092, 194])).
% 7.36/5.58 tff(28094,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB9) <=> (v136(constB9) | v145(constB9)))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28095,plain,
% 7.36/5.58 (v135(constB9) <=> (v136(constB9) | v145(constB9))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28094, 203])).
% 7.36/5.58 tff(28096,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB9) <=> (v137(constB9) | v142(constB9)))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28097,plain,
% 7.36/5.58 (v136(constB9) <=> (v137(constB9) | v142(constB9))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28096, 212])).
% 7.36/5.58 tff(28098,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB9) <=> (v143(constB9) | v144(constB9)))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28099,plain,
% 7.36/5.58 (v142(constB9) <=> (v143(constB9) | v144(constB9))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28098, 221])).
% 7.36/5.58 tff(28100,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB9) <=> (~((~v88(constB9, 1)) | v88(constB9, 2) | v88(constB9, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB9) <=> (~((~v88(constB9, 1)) | v88(constB9, 2) | v88(constB9, 0)))))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(28101,plain,
% 7.36/5.58 ((v143(constB9) <=> (~(v88(constB9, 0) | v88(constB9, 2) | (~v88(constB9, 1))))) <=> (v143(constB9) <=> (~((~v88(constB9, 1)) | v88(constB9, 2) | v88(constB9, 0))))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(28102,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB9) <=> (~(v88(constB9, 0) | v88(constB9, 2) | (~v88(constB9, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB9) <=> (~((~v88(constB9, 1)) | v88(constB9, 2) | v88(constB9, 0)))))),
% 7.36/5.58 inference(monotonicity,[status(thm)],[28101])).
% 7.36/5.58 tff(28103,plain,
% 7.36/5.58 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB9) <=> (~(v88(constB9, 0) | v88(constB9, 2) | (~v88(constB9, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB9) <=> (~((~v88(constB9, 1)) | v88(constB9, 2) | v88(constB9, 0)))))),
% 7.36/5.58 inference(transitivity,[status(thm)],[28102, 28100])).
% 7.36/5.58 tff(28104,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB9) <=> (~(v88(constB9, 0) | v88(constB9, 2) | (~v88(constB9, 1)))))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28105,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB9) <=> (~((~v88(constB9, 1)) | v88(constB9, 2) | v88(constB9, 0))))),
% 7.36/5.58 inference(modus_ponens,[status(thm)],[28104, 28103])).
% 7.36/5.58 tff(28106,plain,
% 7.36/5.58 (v143(constB9) <=> (~((~v88(constB9, 1)) | v88(constB9, 2) | v88(constB9, 0)))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28105, 236])).
% 7.36/5.58 tff(28107,plain,
% 7.36/5.58 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB9, 1)) <=> v90(constB9, 1)) | ((~v88(constB9, 2)) <=> v90(constB9, 2)) | ((~v88(constB9, 0)) <=> v90(constB9, 0))))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28108,plain,
% 7.36/5.58 (~(((~v88(constB9, 1)) <=> v90(constB9, 1)) | ((~v88(constB9, 2)) <=> v90(constB9, 2)) | ((~v88(constB9, 0)) <=> v90(constB9, 0)))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28107, 256])).
% 7.36/5.58 tff(28109,plain,
% 7.36/5.58 ((((~v88(constB9, 1)) <=> v90(constB9, 1)) | ((~v88(constB9, 2)) <=> v90(constB9, 2)) | ((~v88(constB9, 0)) <=> v90(constB9, 0))) | (~((~v88(constB9, 2)) <=> v90(constB9, 2)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28110,plain,
% 7.36/5.58 (~((~v88(constB9, 2)) <=> v90(constB9, 2))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28109, 28108])).
% 7.36/5.58 tff(28111,plain,
% 7.36/5.58 (((~v88(constB9, 2)) <=> v90(constB9, 2)) | (~v88(constB9, 2)) | v90(constB9, 2)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28112,plain,
% 7.36/5.58 (~v88(constB9, 2)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28111, 5367, 28110])).
% 7.36/5.58 tff(28113,plain,
% 7.36/5.58 ((((~v88(constB9, 1)) <=> v90(constB9, 1)) | ((~v88(constB9, 2)) <=> v90(constB9, 2)) | ((~v88(constB9, 0)) <=> v90(constB9, 0))) | (~((~v88(constB9, 0)) <=> v90(constB9, 0)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28114,plain,
% 7.36/5.58 (~((~v88(constB9, 0)) <=> v90(constB9, 0))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28113, 28108])).
% 7.36/5.58 tff(28115,plain,
% 7.36/5.58 (((~v88(constB9, 0)) <=> v90(constB9, 0)) | (~v88(constB9, 0)) | v90(constB9, 0)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28116,plain,
% 7.36/5.58 (~v88(constB9, 0)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28115, 5385, 28114])).
% 7.36/5.58 tff(28117,plain,
% 7.36/5.58 ((((~v88(constB9, 1)) <=> v90(constB9, 1)) | ((~v88(constB9, 2)) <=> v90(constB9, 2)) | ((~v88(constB9, 0)) <=> v90(constB9, 0))) | (~((~v88(constB9, 1)) <=> v90(constB9, 1)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28118,plain,
% 7.36/5.58 (~((~v88(constB9, 1)) <=> v90(constB9, 1))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28117, 28108])).
% 7.36/5.58 tff(28119,plain,
% 7.36/5.58 (((~v88(constB9, 1)) <=> v90(constB9, 1)) | v88(constB9, 1) | (~v90(constB9, 1))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28120,plain,
% 7.36/5.58 (v88(constB9, 1)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28119, 5403, 28118])).
% 7.36/5.58 tff(28121,plain,
% 7.36/5.58 ((~((~v88(constB9, 1)) | v88(constB9, 2) | v88(constB9, 0))) | (~v88(constB9, 1)) | v88(constB9, 2) | v88(constB9, 0)),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28122,plain,
% 7.36/5.58 (~((~v88(constB9, 1)) | v88(constB9, 2) | v88(constB9, 0))),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28121, 28120, 28116, 28112])).
% 7.36/5.58 tff(28123,plain,
% 7.36/5.58 ((~(v143(constB9) <=> (~((~v88(constB9, 1)) | v88(constB9, 2) | v88(constB9, 0))))) | v143(constB9) | ((~v88(constB9, 1)) | v88(constB9, 2) | v88(constB9, 0))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28124,plain,
% 7.36/5.58 (v143(constB9)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28123, 28122, 28106])).
% 7.36/5.58 tff(28125,plain,
% 7.36/5.58 ((v143(constB9) | v144(constB9)) | (~v143(constB9))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28126,plain,
% 7.36/5.58 (v143(constB9) | v144(constB9)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28125, 28124])).
% 7.36/5.58 tff(28127,plain,
% 7.36/5.58 ((~(v142(constB9) <=> (v143(constB9) | v144(constB9)))) | v142(constB9) | (~(v143(constB9) | v144(constB9)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28128,plain,
% 7.36/5.58 (v142(constB9)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28127, 28126, 28099])).
% 7.36/5.58 tff(28129,plain,
% 7.36/5.58 ((v137(constB9) | v142(constB9)) | (~v142(constB9))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28130,plain,
% 7.36/5.58 (v137(constB9) | v142(constB9)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28129, 28128])).
% 7.36/5.58 tff(28131,plain,
% 7.36/5.58 ((~(v136(constB9) <=> (v137(constB9) | v142(constB9)))) | v136(constB9) | (~(v137(constB9) | v142(constB9)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28132,plain,
% 7.36/5.58 ((~(v136(constB9) <=> (v137(constB9) | v142(constB9)))) | v136(constB9)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28131, 28130])).
% 7.36/5.58 tff(28133,plain,
% 7.36/5.58 (v136(constB9)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28132, 28097])).
% 7.36/5.58 tff(28134,plain,
% 7.36/5.58 ((v136(constB9) | v145(constB9)) | (~v136(constB9))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28135,plain,
% 7.36/5.58 (v136(constB9) | v145(constB9)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28134, 28133])).
% 7.36/5.58 tff(28136,plain,
% 7.36/5.58 ((~(v135(constB9) <=> (v136(constB9) | v145(constB9)))) | v135(constB9) | (~(v136(constB9) | v145(constB9)))),
% 7.36/5.58 inference(tautology,[status(thm)],[])).
% 7.36/5.58 tff(28137,plain,
% 7.36/5.58 (v135(constB9)),
% 7.36/5.58 inference(unit_resolution,[status(thm)],[28136, 28135, 28095])).
% 7.36/5.58 tff(28138,plain,
% 7.36/5.58 (((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB9)) | (v86(constB9) <=> v148(constB9)))) <=> ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB9)) | (v86(constB9) <=> v148(constB9)))),
% 7.36/5.58 inference(rewrite,[status(thm)],[])).
% 7.36/5.58 tff(28139,plain,
% 7.36/5.58 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB9)) | (v86(constB9) <=> v148(constB9)))),
% 7.36/5.58 inference(quant_inst,[status(thm)],[])).
% 7.36/5.58 tff(28140,plain,
% 7.36/5.58 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB9)) | (v86(constB9) <=> v148(constB9))),
% 7.36/5.58 inference(modus_ponens,[status(thm)],[28139, 28138])).
% 7.36/5.58 tff(28141,plain,
% 7.36/5.58 (v86(constB9) <=> v148(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28140, 15057, 28137])).
% 7.36/5.59 tff(28142,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB9) | (~v142(constB9)))) <=> ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB9) | (~v142(constB9)))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28143,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB9) | (~v142(constB9)))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28144,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB9) | (~v142(constB9))),
% 7.36/5.59 inference(modus_ponens,[status(thm)],[28143, 28142])).
% 7.36/5.59 tff(28145,plain,
% 7.36/5.59 (v148(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28144, 15071, 28128])).
% 7.36/5.59 tff(28146,plain,
% 7.36/5.59 ((~(v86(constB9) <=> v148(constB9))) | v86(constB9) | (~v148(constB9))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28147,plain,
% 7.36/5.59 ((~(v86(constB9) <=> v148(constB9))) | v86(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28146, 28145])).
% 7.36/5.59 tff(28148,plain,
% 7.36/5.59 (v86(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28147, 28141])).
% 7.36/5.59 tff(28149,plain,
% 7.36/5.59 ((~(v84(constB9) <=> v86(constB9))) | v84(constB9) | (~v86(constB9))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28150,plain,
% 7.36/5.59 ((~(v84(constB9) <=> v86(constB9))) | v84(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28149, 28148])).
% 7.36/5.59 tff(28151,plain,
% 7.36/5.59 (v84(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28150, 28093])).
% 7.36/5.59 tff(28152,plain,
% 7.36/5.59 ((~((~v204(constB9)) <=> v84(constB9))) | (~v204(constB9)) | (~v84(constB9))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28153,plain,
% 7.36/5.59 ((~((~v204(constB9)) <=> v84(constB9))) | (~v204(constB9))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28152, 28151])).
% 7.36/5.59 tff(28154,plain,
% 7.36/5.59 (~v204(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28153, 28091])).
% 7.36/5.59 tff(28155,plain,
% 7.36/5.59 (((~v185(constB9)) | (~v204(constB9))) | v204(constB9)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28156,plain,
% 7.36/5.59 ((~v185(constB9)) | (~v204(constB9))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28155, 28154])).
% 7.36/5.59 tff(28157,plain,
% 7.36/5.59 ((~(v203(constB9) <=> (~((~v185(constB9)) | (~v204(constB9)))))) | (~v203(constB9)) | (~((~v185(constB9)) | (~v204(constB9))))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28158,plain,
% 7.36/5.59 (~v203(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28157, 28156, 28089])).
% 7.36/5.59 tff(28159,plain,
% 7.36/5.59 (((~v183(constB9)) | (~v203(constB9))) | v203(constB9)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28160,plain,
% 7.36/5.59 ((~v183(constB9)) | (~v203(constB9))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28159, 28158])).
% 7.36/5.59 tff(28161,plain,
% 7.36/5.59 ((~(v202(constB9) <=> (~((~v183(constB9)) | (~v203(constB9)))))) | (~v202(constB9)) | (~((~v183(constB9)) | (~v203(constB9))))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28162,plain,
% 7.36/5.59 (~v202(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28161, 28160, 28082])).
% 7.36/5.59 tff(28163,plain,
% 7.36/5.59 (((~v157(constB9)) | (~v202(constB9))) | v202(constB9)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28164,plain,
% 7.36/5.59 ((~v157(constB9)) | (~v202(constB9))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28163, 28162])).
% 7.36/5.59 tff(28165,plain,
% 7.36/5.59 ((~(v201(constB9) <=> (~((~v157(constB9)) | (~v202(constB9)))))) | (~v201(constB9)) | (~((~v157(constB9)) | (~v202(constB9))))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28166,plain,
% 7.36/5.59 (~v201(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28165, 28164, 28080])).
% 7.36/5.59 tff(28167,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB9) <=> (~((~v159(constB9)) | (~v202(constB9)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB9) <=> (~((~v159(constB9)) | (~v202(constB9))))))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28168,plain,
% 7.36/5.59 ((v205(constB9) <=> (~((~v202(constB9)) | (~v159(constB9))))) <=> (v205(constB9) <=> (~((~v159(constB9)) | (~v202(constB9)))))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28169,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB9) <=> (~((~v202(constB9)) | (~v159(constB9)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB9) <=> (~((~v159(constB9)) | (~v202(constB9))))))),
% 7.36/5.59 inference(monotonicity,[status(thm)],[28168])).
% 7.36/5.59 tff(28170,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB9) <=> (~((~v202(constB9)) | (~v159(constB9)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB9) <=> (~((~v159(constB9)) | (~v202(constB9))))))),
% 7.36/5.59 inference(transitivity,[status(thm)],[28169, 28167])).
% 7.36/5.59 tff(28171,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB9) <=> (~((~v202(constB9)) | (~v159(constB9)))))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28172,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB9) <=> (~((~v159(constB9)) | (~v202(constB9)))))),
% 7.36/5.59 inference(modus_ponens,[status(thm)],[28171, 28170])).
% 7.36/5.59 tff(28173,plain,
% 7.36/5.59 (v205(constB9) <=> (~((~v159(constB9)) | (~v202(constB9))))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28172, 138])).
% 7.36/5.59 tff(28174,plain,
% 7.36/5.59 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB9) <=> v182(constB9))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28175,plain,
% 7.36/5.59 (v159(constB9) <=> v182(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28174, 15113])).
% 7.36/5.59 tff(28176,plain,
% 7.36/5.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB8, constB9)) | (v182(constB9) <=> v180(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB8, constB9)) | (v182(constB9) <=> v180(constB8)))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28177,plain,
% 7.36/5.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB8, constB9)) | (v182(constB9) <=> v180(constB8)))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28178,plain,
% 7.36/5.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB8, constB9)) | (v182(constB9) <=> v180(constB8))),
% 7.36/5.59 inference(modus_ponens,[status(thm)],[28177, 28176])).
% 7.36/5.59 tff(28179,plain,
% 7.36/5.59 (v182(constB9) <=> v180(constB8)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28178, 4253, 15125])).
% 7.36/5.59 tff(28180,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB8) <=> (~((~v183(constB8)) | (~v184(constB8)))))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28181,plain,
% 7.36/5.59 (v180(constB8) <=> (~((~v183(constB8)) | (~v184(constB8))))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28180, 15139])).
% 7.36/5.59 tff(28182,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB8) <=> (~((~v185(constB8)) | (~v161(constB8)))))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28183,plain,
% 7.36/5.59 (v184(constB8) <=> (~((~v185(constB8)) | (~v161(constB8))))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28182, 15151])).
% 7.36/5.59 tff(28184,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28185,plain,
% 7.36/5.59 (v185(constB8) <=> (~((~v39(constB8)) | (~v9(constB8))))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28184, 93])).
% 7.36/5.59 tff(28186,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB8)) <=> v1(constB8))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28187,plain,
% 7.36/5.59 ((~v39(constB8)) <=> v1(constB8)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28186, 102])).
% 7.36/5.59 tff(28188,plain,
% 7.36/5.59 ((~((~v39(constB8)) <=> v1(constB8))) | (~v39(constB8)) | (~v1(constB8))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28189,plain,
% 7.36/5.59 ((~((~v39(constB8)) <=> v1(constB8))) | (~v39(constB8))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28188, 5287])).
% 7.36/5.59 tff(28190,plain,
% 7.36/5.59 (~v39(constB8)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28189, 28187])).
% 7.36/5.59 tff(28191,plain,
% 7.36/5.59 (((~v39(constB8)) | (~v9(constB8))) | v39(constB8)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28192,plain,
% 7.36/5.59 ((~v39(constB8)) | (~v9(constB8))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28191, 28190])).
% 7.36/5.59 tff(28193,plain,
% 7.36/5.59 ((~(v185(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))) | (~v185(constB8)) | (~((~v39(constB8)) | (~v9(constB8))))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28194,plain,
% 7.36/5.59 ((~(v185(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))) | (~v185(constB8))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28193, 28192])).
% 7.36/5.59 tff(28195,plain,
% 7.36/5.59 (~v185(constB8)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28194, 28185])).
% 7.36/5.59 tff(28196,plain,
% 7.36/5.59 (((~v185(constB8)) | (~v161(constB8))) | v185(constB8)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28197,plain,
% 7.36/5.59 ((~v185(constB8)) | (~v161(constB8))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28196, 28195])).
% 7.36/5.59 tff(28198,plain,
% 7.36/5.59 ((~(v184(constB8) <=> (~((~v185(constB8)) | (~v161(constB8)))))) | (~v184(constB8)) | (~((~v185(constB8)) | (~v161(constB8))))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28199,plain,
% 7.36/5.59 ((~(v184(constB8) <=> (~((~v185(constB8)) | (~v161(constB8)))))) | (~v184(constB8))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28198, 28197])).
% 7.36/5.59 tff(28200,plain,
% 7.36/5.59 (~v184(constB8)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28199, 28183])).
% 7.36/5.59 tff(28201,plain,
% 7.36/5.59 (((~v183(constB8)) | (~v184(constB8))) | v184(constB8)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28202,plain,
% 7.36/5.59 ((~v183(constB8)) | (~v184(constB8))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28201, 28200])).
% 7.36/5.59 tff(28203,plain,
% 7.36/5.59 ((~(v180(constB8) <=> (~((~v183(constB8)) | (~v184(constB8)))))) | (~v180(constB8)) | (~((~v183(constB8)) | (~v184(constB8))))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28204,plain,
% 7.36/5.59 (~v180(constB8)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28203, 28202, 28181])).
% 7.36/5.59 tff(28205,plain,
% 7.36/5.59 ((~(v182(constB9) <=> v180(constB8))) | (~v182(constB9)) | v180(constB8)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28206,plain,
% 7.36/5.59 (~v182(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28205, 28204, 28179])).
% 7.36/5.59 tff(28207,plain,
% 7.36/5.59 ((~(v159(constB9) <=> v182(constB9))) | (~v159(constB9)) | v182(constB9)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28208,plain,
% 7.36/5.59 (~v159(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28207, 28206, 28175])).
% 7.36/5.59 tff(28209,plain,
% 7.36/5.59 (((~v159(constB9)) | (~v202(constB9))) | v159(constB9)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28210,plain,
% 7.36/5.59 ((~v159(constB9)) | (~v202(constB9))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28209, 28208])).
% 7.36/5.59 tff(28211,plain,
% 7.36/5.59 ((~(v205(constB9) <=> (~((~v159(constB9)) | (~v202(constB9)))))) | (~v205(constB9)) | (~((~v159(constB9)) | (~v202(constB9))))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28212,plain,
% 7.36/5.59 (~v205(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28211, 28210, 28173])).
% 7.36/5.59 tff(28213,plain,
% 7.36/5.59 ((~(v201(constB9) | v205(constB9))) | v201(constB9) | v205(constB9)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28214,plain,
% 7.36/5.59 ((~(v201(constB9) | v205(constB9))) | v201(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28213, 28212])).
% 7.36/5.59 tff(28215,plain,
% 7.36/5.59 (~(v201(constB9) | v205(constB9))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28214, 28166])).
% 7.36/5.59 tff(28216,plain,
% 7.36/5.59 ((~(v200(constB9) <=> (v201(constB9) | v205(constB9)))) | (~v200(constB9)) | (v201(constB9) | v205(constB9))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28217,plain,
% 7.36/5.59 (~v200(constB9)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28216, 28215, 28073])).
% 7.36/5.59 tff(28218,plain,
% 7.36/5.59 ($false),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28217, 28071])).
% 7.36/5.59 tff(28219,plain,(~(constB9 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.36/5.59 tff(28220,assumption,(constB173 = VarCurr!0), introduced(assumption)).
% 7.36/5.59 tff(28221,plain,
% 7.36/5.59 (v200(constB173) <=> v200(VarCurr!0)),
% 7.36/5.59 inference(monotonicity,[status(thm)],[28220])).
% 7.36/5.59 tff(28222,plain,
% 7.36/5.59 (v200(VarCurr!0) <=> v200(constB173)),
% 7.36/5.59 inference(symmetry,[status(thm)],[28221])).
% 7.36/5.59 tff(28223,plain,
% 7.36/5.59 (v200(constB173)),
% 7.36/5.59 inference(modus_ponens,[status(thm)],[27, 28222])).
% 7.36/5.59 tff(28224,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB173) <=> (v201(constB173) | v205(constB173)))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28225,plain,
% 7.36/5.59 (v200(constB173) <=> (v201(constB173) | v205(constB173))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28224, 35])).
% 7.36/5.59 tff(28226,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB173) <=> (~((~v157(constB173)) | (~v202(constB173)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB173) <=> (~((~v157(constB173)) | (~v202(constB173))))))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28227,plain,
% 7.36/5.59 ((v201(constB173) <=> (~((~v202(constB173)) | (~v157(constB173))))) <=> (v201(constB173) <=> (~((~v157(constB173)) | (~v202(constB173)))))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28228,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB173) <=> (~((~v202(constB173)) | (~v157(constB173)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB173) <=> (~((~v157(constB173)) | (~v202(constB173))))))),
% 7.36/5.59 inference(monotonicity,[status(thm)],[28227])).
% 7.36/5.59 tff(28229,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB173) <=> (~((~v202(constB173)) | (~v157(constB173)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB173) <=> (~((~v157(constB173)) | (~v202(constB173))))))),
% 7.36/5.59 inference(transitivity,[status(thm)],[28228, 28226])).
% 7.36/5.59 tff(28230,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB173) <=> (~((~v202(constB173)) | (~v157(constB173)))))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28231,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB173) <=> (~((~v157(constB173)) | (~v202(constB173)))))),
% 7.36/5.59 inference(modus_ponens,[status(thm)],[28230, 28229])).
% 7.36/5.59 tff(28232,plain,
% 7.36/5.59 (v201(constB173) <=> (~((~v157(constB173)) | (~v202(constB173))))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28231, 47])).
% 7.36/5.59 tff(28233,plain,
% 7.36/5.59 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB173) <=> v192(constB173))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28234,plain,
% 7.36/5.59 (v157(constB173) <=> v192(constB173)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28233, 15407])).
% 7.36/5.59 tff(28235,plain,
% 7.36/5.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB172, constB173)) | (v192(constB173) <=> v190(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB172, constB173)) | (v192(constB173) <=> v190(constB172)))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28236,plain,
% 7.36/5.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB172, constB173)) | (v192(constB173) <=> v190(constB172)))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28237,plain,
% 7.36/5.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB172, constB173)) | (v192(constB173) <=> v190(constB172))),
% 7.36/5.59 inference(modus_ponens,[status(thm)],[28236, 28235])).
% 7.36/5.59 tff(28238,plain,
% 7.36/5.59 (v192(constB173) <=> v190(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28237, 17176, 15419])).
% 7.36/5.59 tff(28239,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB172) <=> (v193(constB172) | v196(constB172)))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28240,plain,
% 7.36/5.59 (v190(constB172) <=> (v193(constB172) | v196(constB172))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28239, 15430])).
% 7.36/5.59 tff(28241,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB172) <=> (~((~v157(constB172)) | (~v194(constB172)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB172) <=> (~((~v157(constB172)) | (~v194(constB172))))))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28242,plain,
% 7.36/5.59 ((v193(constB172) <=> (~((~v194(constB172)) | (~v157(constB172))))) <=> (v193(constB172) <=> (~((~v157(constB172)) | (~v194(constB172)))))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28243,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB172) <=> (~((~v194(constB172)) | (~v157(constB172)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB172) <=> (~((~v157(constB172)) | (~v194(constB172))))))),
% 7.36/5.59 inference(monotonicity,[status(thm)],[28242])).
% 7.36/5.59 tff(28244,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB172) <=> (~((~v194(constB172)) | (~v157(constB172)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB172) <=> (~((~v157(constB172)) | (~v194(constB172))))))),
% 7.36/5.59 inference(transitivity,[status(thm)],[28243, 28241])).
% 7.36/5.59 tff(28245,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB172) <=> (~((~v194(constB172)) | (~v157(constB172)))))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28246,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB172) <=> (~((~v157(constB172)) | (~v194(constB172)))))),
% 7.36/5.59 inference(modus_ponens,[status(thm)],[28245, 28244])).
% 7.36/5.59 tff(28247,plain,
% 7.36/5.59 (v193(constB172) <=> (~((~v157(constB172)) | (~v194(constB172))))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28246, 15442])).
% 7.36/5.59 tff(28248,plain,
% 7.36/5.59 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB172) <=> v192(constB172))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28249,plain,
% 7.36/5.59 (v157(constB172) <=> v192(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28248, 15407])).
% 7.36/5.59 tff(28250,plain,
% 7.36/5.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB171, constB172)) | (v192(constB172) <=> v190(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB171, constB172)) | (v192(constB172) <=> v190(constB171)))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28251,plain,
% 7.36/5.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB171, constB172)) | (v192(constB172) <=> v190(constB171)))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28252,plain,
% 7.36/5.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB171, constB172)) | (v192(constB172) <=> v190(constB171))),
% 7.36/5.59 inference(modus_ponens,[status(thm)],[28251, 28250])).
% 7.36/5.59 tff(28253,plain,
% 7.36/5.59 (v192(constB172) <=> v190(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28252, 17212, 15419])).
% 7.36/5.59 tff(28254,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB171) <=> (v193(constB171) | v196(constB171)))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28255,plain,
% 7.36/5.59 (v190(constB171) <=> (v193(constB171) | v196(constB171))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28254, 15430])).
% 7.36/5.59 tff(28256,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB171) <=> (~((~v159(constB171)) | (~v194(constB171)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB171) <=> (~((~v159(constB171)) | (~v194(constB171))))))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28257,plain,
% 7.36/5.59 ((v196(constB171) <=> (~((~v194(constB171)) | (~v159(constB171))))) <=> (v196(constB171) <=> (~((~v159(constB171)) | (~v194(constB171)))))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28258,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB171) <=> (~((~v194(constB171)) | (~v159(constB171)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB171) <=> (~((~v159(constB171)) | (~v194(constB171))))))),
% 7.36/5.59 inference(monotonicity,[status(thm)],[28257])).
% 7.36/5.59 tff(28259,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB171) <=> (~((~v194(constB171)) | (~v159(constB171)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB171) <=> (~((~v159(constB171)) | (~v194(constB171))))))),
% 7.36/5.59 inference(transitivity,[status(thm)],[28258, 28256])).
% 7.36/5.59 tff(28260,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB171) <=> (~((~v194(constB171)) | (~v159(constB171)))))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28261,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB171) <=> (~((~v159(constB171)) | (~v194(constB171)))))),
% 7.36/5.59 inference(modus_ponens,[status(thm)],[28260, 28259])).
% 7.36/5.59 tff(28262,plain,
% 7.36/5.59 (v196(constB171) <=> (~((~v159(constB171)) | (~v194(constB171))))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28261, 15467])).
% 7.36/5.59 tff(28263,plain,
% 7.36/5.59 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB171) <=> v182(constB171))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28264,plain,
% 7.36/5.59 (v159(constB171) <=> v182(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28263, 15113])).
% 7.36/5.59 tff(28265,plain,
% 7.36/5.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB170, constB171)) | (v182(constB171) <=> v180(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB170, constB171)) | (v182(constB171) <=> v180(constB170)))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28266,plain,
% 7.36/5.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB170, constB171)) | (v182(constB171) <=> v180(constB170)))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28267,plain,
% 7.36/5.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB170, constB171)) | (v182(constB171) <=> v180(constB170))),
% 7.36/5.59 inference(modus_ponens,[status(thm)],[28266, 28265])).
% 7.36/5.59 tff(28268,plain,
% 7.36/5.59 (v182(constB171) <=> v180(constB170)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28267, 17242, 15125])).
% 7.36/5.59 tff(28269,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB170) <=> (~((~v183(constB170)) | (~v184(constB170)))))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28270,plain,
% 7.36/5.59 (v180(constB170) <=> (~((~v183(constB170)) | (~v184(constB170))))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28269, 15139])).
% 7.36/5.59 tff(28271,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB170) <=> (~((~v185(constB170)) | (~v161(constB170)))))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28272,plain,
% 7.36/5.59 (v184(constB170) <=> (~((~v185(constB170)) | (~v161(constB170))))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28271, 15151])).
% 7.36/5.59 tff(28273,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28274,plain,
% 7.36/5.59 (v185(constB170) <=> (~((~v39(constB170)) | (~v9(constB170))))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28273, 93])).
% 7.36/5.59 tff(28275,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB170)) <=> v1(constB170))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28276,plain,
% 7.36/5.59 ((~v39(constB170)) <=> v1(constB170)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28275, 102])).
% 7.36/5.59 tff(28277,plain,
% 7.36/5.59 ((~((~v39(constB170)) <=> v1(constB170))) | (~v39(constB170)) | (~v1(constB170))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28278,plain,
% 7.36/5.59 ((~((~v39(constB170)) <=> v1(constB170))) | (~v39(constB170))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28277, 21825])).
% 7.36/5.59 tff(28279,plain,
% 7.36/5.59 (~v39(constB170)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28278, 28276])).
% 7.36/5.59 tff(28280,plain,
% 7.36/5.59 (((~v39(constB170)) | (~v9(constB170))) | v39(constB170)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28281,plain,
% 7.36/5.59 ((~v39(constB170)) | (~v9(constB170))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28280, 28279])).
% 7.36/5.59 tff(28282,plain,
% 7.36/5.59 ((~(v185(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))) | (~v185(constB170)) | (~((~v39(constB170)) | (~v9(constB170))))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28283,plain,
% 7.36/5.59 ((~(v185(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))) | (~v185(constB170))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28282, 28281])).
% 7.36/5.59 tff(28284,plain,
% 7.36/5.59 (~v185(constB170)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28283, 28274])).
% 7.36/5.59 tff(28285,plain,
% 7.36/5.59 (((~v185(constB170)) | (~v161(constB170))) | v185(constB170)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28286,plain,
% 7.36/5.59 ((~v185(constB170)) | (~v161(constB170))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28285, 28284])).
% 7.36/5.59 tff(28287,plain,
% 7.36/5.59 ((~(v184(constB170) <=> (~((~v185(constB170)) | (~v161(constB170)))))) | (~v184(constB170)) | (~((~v185(constB170)) | (~v161(constB170))))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28288,plain,
% 7.36/5.59 ((~(v184(constB170) <=> (~((~v185(constB170)) | (~v161(constB170)))))) | (~v184(constB170))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28287, 28286])).
% 7.36/5.59 tff(28289,plain,
% 7.36/5.59 (~v184(constB170)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28288, 28272])).
% 7.36/5.59 tff(28290,plain,
% 7.36/5.59 (((~v183(constB170)) | (~v184(constB170))) | v184(constB170)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28291,plain,
% 7.36/5.59 ((~v183(constB170)) | (~v184(constB170))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28290, 28289])).
% 7.36/5.59 tff(28292,plain,
% 7.36/5.59 ((~(v180(constB170) <=> (~((~v183(constB170)) | (~v184(constB170)))))) | (~v180(constB170)) | (~((~v183(constB170)) | (~v184(constB170))))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28293,plain,
% 7.36/5.59 (~v180(constB170)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28292, 28291, 28270])).
% 7.36/5.59 tff(28294,plain,
% 7.36/5.59 ((~(v182(constB171) <=> v180(constB170))) | (~v182(constB171)) | v180(constB170)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28295,plain,
% 7.36/5.59 (~v182(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28294, 28293, 28268])).
% 7.36/5.59 tff(28296,plain,
% 7.36/5.59 ((~(v159(constB171) <=> v182(constB171))) | (~v159(constB171)) | v182(constB171)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28297,plain,
% 7.36/5.59 (~v159(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28296, 28295, 28264])).
% 7.36/5.59 tff(28298,plain,
% 7.36/5.59 (((~v159(constB171)) | (~v194(constB171))) | v159(constB171)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28299,plain,
% 7.36/5.59 ((~v159(constB171)) | (~v194(constB171))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28298, 28297])).
% 7.36/5.59 tff(28300,plain,
% 7.36/5.59 ((~(v196(constB171) <=> (~((~v159(constB171)) | (~v194(constB171)))))) | (~v196(constB171)) | (~((~v159(constB171)) | (~v194(constB171))))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28301,plain,
% 7.36/5.59 (~v196(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28300, 28299, 28262])).
% 7.36/5.59 tff(28302,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB171) <=> (~((~v157(constB171)) | (~v194(constB171)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB171) <=> (~((~v157(constB171)) | (~v194(constB171))))))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28303,plain,
% 7.36/5.59 ((v193(constB171) <=> (~((~v194(constB171)) | (~v157(constB171))))) <=> (v193(constB171) <=> (~((~v157(constB171)) | (~v194(constB171)))))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28304,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB171) <=> (~((~v194(constB171)) | (~v157(constB171)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB171) <=> (~((~v157(constB171)) | (~v194(constB171))))))),
% 7.36/5.59 inference(monotonicity,[status(thm)],[28303])).
% 7.36/5.59 tff(28305,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB171) <=> (~((~v194(constB171)) | (~v157(constB171)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB171) <=> (~((~v157(constB171)) | (~v194(constB171))))))),
% 7.36/5.59 inference(transitivity,[status(thm)],[28304, 28302])).
% 7.36/5.59 tff(28306,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB171) <=> (~((~v194(constB171)) | (~v157(constB171)))))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28307,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB171) <=> (~((~v157(constB171)) | (~v194(constB171)))))),
% 7.36/5.59 inference(modus_ponens,[status(thm)],[28306, 28305])).
% 7.36/5.59 tff(28308,plain,
% 7.36/5.59 (v193(constB171) <=> (~((~v157(constB171)) | (~v194(constB171))))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28307, 15442])).
% 7.36/5.59 tff(28309,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB171)) <=> v195(constB171))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28310,plain,
% 7.36/5.59 ((~v194(constB171)) <=> v195(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28309, 15527])).
% 7.36/5.59 tff(28311,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB171) <=> (v185(constB171) | v26(constB171)))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28312,plain,
% 7.36/5.59 (v195(constB171) <=> (v185(constB171) | v26(constB171))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28311, 15536])).
% 7.36/5.59 tff(28313,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB171) <=> (~((~v39(constB171)) | (~v9(constB171)))))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28314,plain,
% 7.36/5.59 (v185(constB171) <=> (~((~v39(constB171)) | (~v9(constB171))))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28313, 93])).
% 7.36/5.59 tff(28315,plain,
% 7.36/5.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28316,plain,
% 7.36/5.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28317,plain,
% 7.36/5.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171))),
% 7.36/5.59 inference(modus_ponens,[status(thm)],[28316, 28315])).
% 7.36/5.59 tff(28318,plain,
% 7.36/5.59 (v13(constB172) <=> v9(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28317, 17212, 15550])).
% 7.36/5.59 tff(28319,plain,
% 7.36/5.59 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB172) <=> v13(constB172))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28320,plain,
% 7.36/5.59 (v6(constB172) <=> v13(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28319, 15564])).
% 7.36/5.59 tff(28321,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB172)) <=> v6(constB172))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28322,plain,
% 7.36/5.59 ((~v21(constB172)) <=> v6(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28321, 15573])).
% 7.36/5.59 tff(28323,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB172) <=> (v20(constB172) | v21(constB172)))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28324,plain,
% 7.36/5.59 (v19(constB172) <=> (v20(constB172) | v21(constB172))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28323, 15582])).
% 7.36/5.59 tff(28325,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172)))))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28326,plain,
% 7.36/5.59 (v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172))))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28325, 15594])).
% 7.36/5.59 tff(28327,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB172)) <=> v18(constB172))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28328,plain,
% 7.36/5.59 ((~v4(constB172)) <=> v18(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28327, 15603])).
% 7.36/5.59 tff(28329,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB172)),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28330,plain,
% 7.36/5.59 (v4(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28329, 15612])).
% 7.36/5.59 tff(28331,plain,
% 7.36/5.59 ((~((~v4(constB172)) <=> v18(constB172))) | (~v4(constB172)) | (~v18(constB172))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28332,plain,
% 7.36/5.59 (~v18(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28331, 28330, 28328])).
% 7.36/5.59 tff(28333,plain,
% 7.36/5.59 ((~(v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172)))))) | v18(constB172) | ((~v19(constB172)) | (~v22(constB172)))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28334,plain,
% 7.36/5.59 ((~v19(constB172)) | (~v22(constB172))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28333, 28332, 28326])).
% 7.36/5.59 tff(28335,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB172) <=> (v1(constB172) | v6(constB172)))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28336,plain,
% 7.36/5.59 (v22(constB172) <=> (v1(constB172) | v6(constB172))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28335, 15625])).
% 7.36/5.59 tff(28337,plain,
% 7.36/5.59 ((v1(constB172) | v6(constB172)) | (~v1(constB172))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28338,plain,
% 7.36/5.59 (v1(constB172) | v6(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28337, 21983])).
% 7.36/5.59 tff(28339,plain,
% 7.36/5.59 ((~(v22(constB172) <=> (v1(constB172) | v6(constB172)))) | v22(constB172) | (~(v1(constB172) | v6(constB172)))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28340,plain,
% 7.36/5.59 ((~(v22(constB172) <=> (v1(constB172) | v6(constB172)))) | v22(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28339, 28338])).
% 7.36/5.59 tff(28341,plain,
% 7.36/5.59 (v22(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28340, 28336])).
% 7.36/5.59 tff(28342,plain,
% 7.36/5.59 ((~((~v19(constB172)) | (~v22(constB172)))) | (~v19(constB172)) | (~v22(constB172))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28343,plain,
% 7.36/5.59 ((~((~v19(constB172)) | (~v22(constB172)))) | (~v19(constB172))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28342, 28341])).
% 7.36/5.59 tff(28344,plain,
% 7.36/5.59 (~v19(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28343, 28334])).
% 7.36/5.59 tff(28345,plain,
% 7.36/5.59 ((~(v19(constB172) <=> (v20(constB172) | v21(constB172)))) | v19(constB172) | (~(v20(constB172) | v21(constB172)))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28346,plain,
% 7.36/5.59 (~(v20(constB172) | v21(constB172))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28345, 28344, 28324])).
% 7.36/5.59 tff(28347,plain,
% 7.36/5.59 ((v20(constB172) | v21(constB172)) | (~v21(constB172))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28348,plain,
% 7.36/5.59 (~v21(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28347, 28346])).
% 7.36/5.59 tff(28349,plain,
% 7.36/5.59 ((~((~v21(constB172)) <=> v6(constB172))) | v21(constB172) | v6(constB172)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28350,plain,
% 7.36/5.59 (v6(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28349, 28348, 28322])).
% 7.36/5.59 tff(28351,plain,
% 7.36/5.59 ((~(v6(constB172) <=> v13(constB172))) | (~v6(constB172)) | v13(constB172)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28352,plain,
% 7.36/5.59 (v13(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28351, 28350, 28320])).
% 7.36/5.59 tff(28353,plain,
% 7.36/5.59 ((~(v13(constB172) <=> v9(constB171))) | (~v13(constB172)) | v9(constB171)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28354,plain,
% 7.36/5.59 (v9(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28353, 28352, 28318])).
% 7.36/5.59 tff(28355,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB171)) <=> v1(constB171))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28356,plain,
% 7.36/5.59 ((~v39(constB171)) <=> v1(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28355, 102])).
% 7.36/5.59 tff(28357,plain,
% 7.36/5.59 ((~((~v39(constB171)) <=> v1(constB171))) | v39(constB171) | v1(constB171)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28358,plain,
% 7.36/5.59 ((~((~v39(constB171)) <=> v1(constB171))) | v39(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28357, 17256])).
% 7.36/5.59 tff(28359,plain,
% 7.36/5.59 (v39(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28358, 28356])).
% 7.36/5.59 tff(28360,plain,
% 7.36/5.59 ((~((~v39(constB171)) | (~v9(constB171)))) | (~v39(constB171)) | (~v9(constB171))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28361,plain,
% 7.36/5.59 ((~((~v39(constB171)) | (~v9(constB171)))) | (~v9(constB171))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28360, 28359])).
% 7.36/5.59 tff(28362,plain,
% 7.36/5.59 (~((~v39(constB171)) | (~v9(constB171)))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28361, 28354])).
% 7.36/5.59 tff(28363,plain,
% 7.36/5.59 ((~(v185(constB171) <=> (~((~v39(constB171)) | (~v9(constB171)))))) | v185(constB171) | ((~v39(constB171)) | (~v9(constB171)))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28364,plain,
% 7.36/5.59 (v185(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28363, 28362, 28314])).
% 7.36/5.59 tff(28365,plain,
% 7.36/5.59 ((v185(constB171) | v26(constB171)) | (~v185(constB171))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28366,plain,
% 7.36/5.59 (v185(constB171) | v26(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28365, 28364])).
% 7.36/5.59 tff(28367,plain,
% 7.36/5.59 ((~(v195(constB171) <=> (v185(constB171) | v26(constB171)))) | v195(constB171) | (~(v185(constB171) | v26(constB171)))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28368,plain,
% 7.36/5.59 (v195(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28367, 28366, 28312])).
% 7.36/5.59 tff(28369,plain,
% 7.36/5.59 ((~((~v194(constB171)) <=> v195(constB171))) | (~v194(constB171)) | (~v195(constB171))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28370,plain,
% 7.36/5.59 (~v194(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28369, 28368, 28310])).
% 7.36/5.59 tff(28371,plain,
% 7.36/5.59 (((~v157(constB171)) | (~v194(constB171))) | v194(constB171)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28372,plain,
% 7.36/5.59 ((~v157(constB171)) | (~v194(constB171))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28371, 28370])).
% 7.36/5.59 tff(28373,plain,
% 7.36/5.59 ((~(v193(constB171) <=> (~((~v157(constB171)) | (~v194(constB171)))))) | (~v193(constB171)) | (~((~v157(constB171)) | (~v194(constB171))))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28374,plain,
% 7.36/5.59 (~v193(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28373, 28372, 28308])).
% 7.36/5.59 tff(28375,plain,
% 7.36/5.59 ((~(v193(constB171) | v196(constB171))) | v193(constB171) | v196(constB171)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28376,plain,
% 7.36/5.59 (~(v193(constB171) | v196(constB171))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28375, 28374, 28301])).
% 7.36/5.59 tff(28377,plain,
% 7.36/5.59 ((~(v190(constB171) <=> (v193(constB171) | v196(constB171)))) | (~v190(constB171)) | (v193(constB171) | v196(constB171))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28378,plain,
% 7.36/5.59 (~v190(constB171)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28377, 28376, 28255])).
% 7.36/5.59 tff(28379,plain,
% 7.36/5.59 ((~(v192(constB172) <=> v190(constB171))) | (~v192(constB172)) | v190(constB171)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28380,plain,
% 7.36/5.59 (~v192(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28379, 28378, 28253])).
% 7.36/5.59 tff(28381,plain,
% 7.36/5.59 ((~(v157(constB172) <=> v192(constB172))) | (~v157(constB172)) | v192(constB172)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28382,plain,
% 7.36/5.59 (~v157(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28381, 28380, 28249])).
% 7.36/5.59 tff(28383,plain,
% 7.36/5.59 (((~v157(constB172)) | (~v194(constB172))) | v157(constB172)),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28384,plain,
% 7.36/5.59 ((~v157(constB172)) | (~v194(constB172))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28383, 28382])).
% 7.36/5.59 tff(28385,plain,
% 7.36/5.59 ((~(v193(constB172) <=> (~((~v157(constB172)) | (~v194(constB172)))))) | (~v193(constB172)) | (~((~v157(constB172)) | (~v194(constB172))))),
% 7.36/5.59 inference(tautology,[status(thm)],[])).
% 7.36/5.59 tff(28386,plain,
% 7.36/5.59 (~v193(constB172)),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28385, 28384, 28247])).
% 7.36/5.59 tff(28387,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB172) <=> (~((~v159(constB172)) | (~v194(constB172)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB172) <=> (~((~v159(constB172)) | (~v194(constB172))))))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28388,plain,
% 7.36/5.59 ((v196(constB172) <=> (~((~v194(constB172)) | (~v159(constB172))))) <=> (v196(constB172) <=> (~((~v159(constB172)) | (~v194(constB172)))))),
% 7.36/5.59 inference(rewrite,[status(thm)],[])).
% 7.36/5.59 tff(28389,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB172) <=> (~((~v194(constB172)) | (~v159(constB172)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB172) <=> (~((~v159(constB172)) | (~v194(constB172))))))),
% 7.36/5.59 inference(monotonicity,[status(thm)],[28388])).
% 7.36/5.59 tff(28390,plain,
% 7.36/5.59 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB172) <=> (~((~v194(constB172)) | (~v159(constB172)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB172) <=> (~((~v159(constB172)) | (~v194(constB172))))))),
% 7.36/5.59 inference(transitivity,[status(thm)],[28389, 28387])).
% 7.36/5.59 tff(28391,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB172) <=> (~((~v194(constB172)) | (~v159(constB172)))))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.59 tff(28392,plain,
% 7.36/5.59 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB172) <=> (~((~v159(constB172)) | (~v194(constB172)))))),
% 7.36/5.59 inference(modus_ponens,[status(thm)],[28391, 28390])).
% 7.36/5.59 tff(28393,plain,
% 7.36/5.59 (v196(constB172) <=> (~((~v159(constB172)) | (~v194(constB172))))),
% 7.36/5.59 inference(unit_resolution,[status(thm)],[28392, 15467])).
% 7.36/5.59 tff(28394,plain,
% 7.36/5.59 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB172) <=> v182(constB172))),
% 7.36/5.59 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28395,plain,
% 7.36/5.60 (v159(constB172) <=> v182(constB172)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28394, 15113])).
% 7.36/5.60 tff(28396,plain,
% 7.36/5.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB171, constB172)) | (v182(constB172) <=> v180(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB171, constB172)) | (v182(constB172) <=> v180(constB171)))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28397,plain,
% 7.36/5.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB171, constB172)) | (v182(constB172) <=> v180(constB171)))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28398,plain,
% 7.36/5.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB171, constB172)) | (v182(constB172) <=> v180(constB171))),
% 7.36/5.60 inference(modus_ponens,[status(thm)],[28397, 28396])).
% 7.36/5.60 tff(28399,plain,
% 7.36/5.60 (v182(constB172) <=> v180(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28398, 17212, 15125])).
% 7.36/5.60 tff(28400,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB171) <=> (~((~v183(constB171)) | (~v184(constB171)))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28401,plain,
% 7.36/5.60 (v180(constB171) <=> (~((~v183(constB171)) | (~v184(constB171))))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28400, 15139])).
% 7.36/5.60 tff(28402,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB171) <=> (~((~v185(constB171)) | (~v161(constB171)))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28403,plain,
% 7.36/5.60 (v184(constB171) <=> (~((~v185(constB171)) | (~v161(constB171))))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28402, 15151])).
% 7.36/5.60 tff(28404,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB171) <=> v163(constB171))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28405,plain,
% 7.36/5.60 (v161(constB171) <=> v163(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28404, 15701])).
% 7.36/5.60 tff(28406,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB171) <=> (v145(constB171) | v167(constB171)))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28407,plain,
% 7.36/5.60 (v166(constB171) <=> (v145(constB171) | v167(constB171))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28406, 15713])).
% 7.36/5.60 tff(28408,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB171) <=> (v142(constB171) | v168(constB171)))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28409,plain,
% 7.36/5.60 (v167(constB171) <=> (v142(constB171) | v168(constB171))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28408, 15725])).
% 7.36/5.60 tff(28410,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB171) <=> (v141(constB171) | v169(constB171)))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28411,plain,
% 7.36/5.60 (v168(constB171) <=> (v141(constB171) | v169(constB171))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28410, 26253])).
% 7.36/5.60 tff(28412,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB171) <=> (~((~v88(constB171, 1)) | v88(constB171, 2) | (~v88(constB171, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB171) <=> (~((~v88(constB171, 1)) | v88(constB171, 2) | (~v88(constB171, 0))))))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28413,plain,
% 7.36/5.60 ((v141(constB171) <=> (~(v88(constB171, 2) | (~v88(constB171, 1)) | (~v88(constB171, 0))))) <=> (v141(constB171) <=> (~((~v88(constB171, 1)) | v88(constB171, 2) | (~v88(constB171, 0)))))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28414,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB171) <=> (~(v88(constB171, 2) | (~v88(constB171, 1)) | (~v88(constB171, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB171) <=> (~((~v88(constB171, 1)) | v88(constB171, 2) | (~v88(constB171, 0))))))),
% 7.36/5.60 inference(monotonicity,[status(thm)],[28413])).
% 7.36/5.60 tff(28415,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB171) <=> (~(v88(constB171, 2) | (~v88(constB171, 1)) | (~v88(constB171, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB171) <=> (~((~v88(constB171, 1)) | v88(constB171, 2) | (~v88(constB171, 0))))))),
% 7.36/5.60 inference(transitivity,[status(thm)],[28414, 28412])).
% 7.36/5.60 tff(28416,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB171) <=> (~(v88(constB171, 2) | (~v88(constB171, 1)) | (~v88(constB171, 0)))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28417,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB171) <=> (~((~v88(constB171, 1)) | v88(constB171, 2) | (~v88(constB171, 0)))))),
% 7.36/5.60 inference(modus_ponens,[status(thm)],[28416, 28415])).
% 7.36/5.60 tff(28418,plain,
% 7.36/5.60 (v141(constB171) <=> (~((~v88(constB171, 1)) | v88(constB171, 2) | (~v88(constB171, 0))))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28417, 26268])).
% 7.36/5.60 tff(28419,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB171, 1)) <=> v90(constB171, 1)) | ((~v88(constB171, 2)) <=> v90(constB171, 2)) | ((~v88(constB171, 0)) <=> v90(constB171, 0))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28420,plain,
% 7.36/5.60 (~(((~v88(constB171, 1)) <=> v90(constB171, 1)) | ((~v88(constB171, 2)) <=> v90(constB171, 2)) | ((~v88(constB171, 0)) <=> v90(constB171, 0)))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28419, 256])).
% 7.36/5.60 tff(28421,plain,
% 7.36/5.60 ((((~v88(constB171, 1)) <=> v90(constB171, 1)) | ((~v88(constB171, 2)) <=> v90(constB171, 2)) | ((~v88(constB171, 0)) <=> v90(constB171, 0))) | (~((~v88(constB171, 2)) <=> v90(constB171, 2)))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28422,plain,
% 7.36/5.60 (~((~v88(constB171, 2)) <=> v90(constB171, 2))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28421, 28420])).
% 7.36/5.60 tff(28423,plain,
% 7.36/5.60 (((~v88(constB171, 2)) <=> v90(constB171, 2)) | (~v88(constB171, 2)) | v90(constB171, 2)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28424,plain,
% 7.36/5.60 (~v88(constB171, 2)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28423, 21902, 28422])).
% 7.36/5.60 tff(28425,plain,
% 7.36/5.60 ((((~v88(constB171, 1)) <=> v90(constB171, 1)) | ((~v88(constB171, 2)) <=> v90(constB171, 2)) | ((~v88(constB171, 0)) <=> v90(constB171, 0))) | (~((~v88(constB171, 0)) <=> v90(constB171, 0)))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28426,plain,
% 7.36/5.60 (~((~v88(constB171, 0)) <=> v90(constB171, 0))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28425, 28420])).
% 7.36/5.60 tff(28427,plain,
% 7.36/5.60 (((~v88(constB171, 0)) <=> v90(constB171, 0)) | v88(constB171, 0) | (~v90(constB171, 0))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28428,plain,
% 7.36/5.60 (v88(constB171, 0)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28427, 21920, 28426])).
% 7.36/5.60 tff(28429,plain,
% 7.36/5.60 ((((~v88(constB171, 1)) <=> v90(constB171, 1)) | ((~v88(constB171, 2)) <=> v90(constB171, 2)) | ((~v88(constB171, 0)) <=> v90(constB171, 0))) | (~((~v88(constB171, 1)) <=> v90(constB171, 1)))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28430,plain,
% 7.36/5.60 (~((~v88(constB171, 1)) <=> v90(constB171, 1))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28429, 28420])).
% 7.36/5.60 tff(28431,plain,
% 7.36/5.60 (((~v88(constB171, 1)) <=> v90(constB171, 1)) | v88(constB171, 1) | (~v90(constB171, 1))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28432,plain,
% 7.36/5.60 (v88(constB171, 1)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28431, 21938, 28430])).
% 7.36/5.60 tff(28433,plain,
% 7.36/5.60 ((~((~v88(constB171, 1)) | v88(constB171, 2) | (~v88(constB171, 0)))) | (~v88(constB171, 1)) | v88(constB171, 2) | (~v88(constB171, 0))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28434,plain,
% 7.36/5.60 (~((~v88(constB171, 1)) | v88(constB171, 2) | (~v88(constB171, 0)))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28433, 28432, 28428, 28424])).
% 7.36/5.60 tff(28435,plain,
% 7.36/5.60 ((~(v141(constB171) <=> (~((~v88(constB171, 1)) | v88(constB171, 2) | (~v88(constB171, 0)))))) | v141(constB171) | ((~v88(constB171, 1)) | v88(constB171, 2) | (~v88(constB171, 0)))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28436,plain,
% 7.36/5.60 (v141(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28435, 28434, 28418])).
% 7.36/5.60 tff(28437,plain,
% 7.36/5.60 ((v141(constB171) | v169(constB171)) | (~v141(constB171))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28438,plain,
% 7.36/5.60 (v141(constB171) | v169(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28437, 28436])).
% 7.36/5.60 tff(28439,plain,
% 7.36/5.60 ((~(v168(constB171) <=> (v141(constB171) | v169(constB171)))) | v168(constB171) | (~(v141(constB171) | v169(constB171)))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28440,plain,
% 7.36/5.60 (v168(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28439, 28438, 28411])).
% 7.36/5.60 tff(28441,plain,
% 7.36/5.60 ((v142(constB171) | v168(constB171)) | (~v168(constB171))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28442,plain,
% 7.36/5.60 (v142(constB171) | v168(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28441, 28440])).
% 7.36/5.60 tff(28443,plain,
% 7.36/5.60 ((~(v167(constB171) <=> (v142(constB171) | v168(constB171)))) | v167(constB171) | (~(v142(constB171) | v168(constB171)))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28444,plain,
% 7.36/5.60 ((~(v167(constB171) <=> (v142(constB171) | v168(constB171)))) | v167(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28443, 28442])).
% 7.36/5.60 tff(28445,plain,
% 7.36/5.60 (v167(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28444, 28409])).
% 7.36/5.60 tff(28446,plain,
% 7.36/5.60 ((v145(constB171) | v167(constB171)) | (~v167(constB171))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28447,plain,
% 7.36/5.60 (v145(constB171) | v167(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28446, 28445])).
% 7.36/5.60 tff(28448,plain,
% 7.36/5.60 ((~(v166(constB171) <=> (v145(constB171) | v167(constB171)))) | v166(constB171) | (~(v145(constB171) | v167(constB171)))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28449,plain,
% 7.36/5.60 (v166(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28448, 28447, 28407])).
% 7.36/5.60 tff(28450,plain,
% 7.36/5.60 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB171)) | (v163(constB171) <=> v170(constB171)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB171)) | (v163(constB171) <=> v170(constB171)))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28451,plain,
% 7.36/5.60 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB171)) | (v163(constB171) <=> v170(constB171)))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28452,plain,
% 7.36/5.60 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB171)) | (v163(constB171) <=> v170(constB171))),
% 7.36/5.60 inference(modus_ponens,[status(thm)],[28451, 28450])).
% 7.36/5.60 tff(28453,plain,
% 7.36/5.60 ((~v166(constB171)) | (v163(constB171) <=> v170(constB171))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28452, 15777])).
% 7.36/5.60 tff(28454,plain,
% 7.36/5.60 (v163(constB171) <=> v170(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28453, 28449])).
% 7.36/5.60 tff(28455,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB171) <=> (~(v88(constB171, 0) | v88(constB171, 1) | v88(constB171, 2))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28456,plain,
% 7.36/5.60 (v139(constB171) <=> (~(v88(constB171, 0) | v88(constB171, 1) | v88(constB171, 2)))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28455, 15795])).
% 7.36/5.60 tff(28457,plain,
% 7.36/5.60 ((v88(constB171, 0) | v88(constB171, 1) | v88(constB171, 2)) | (~v88(constB171, 0))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28458,plain,
% 7.36/5.60 (v88(constB171, 0) | v88(constB171, 1) | v88(constB171, 2)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28457, 28428])).
% 7.36/5.60 tff(28459,plain,
% 7.36/5.60 ((~(v139(constB171) <=> (~(v88(constB171, 0) | v88(constB171, 1) | v88(constB171, 2))))) | (~v139(constB171)) | (~(v88(constB171, 0) | v88(constB171, 1) | v88(constB171, 2)))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28460,plain,
% 7.36/5.60 (~v139(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28459, 28458, 28456])).
% 7.36/5.60 tff(28461,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB171) <=> (~(v88(constB171, 1) | v88(constB171, 2) | (~v88(constB171, 0)))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28462,plain,
% 7.36/5.60 (v140(constB171) <=> (~(v88(constB171, 1) | v88(constB171, 2) | (~v88(constB171, 0))))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28461, 15814])).
% 7.36/5.60 tff(28463,plain,
% 7.36/5.60 ((v88(constB171, 1) | v88(constB171, 2) | (~v88(constB171, 0))) | (~v88(constB171, 1))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28464,plain,
% 7.36/5.60 (v88(constB171, 1) | v88(constB171, 2) | (~v88(constB171, 0))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28463, 28432])).
% 7.36/5.60 tff(28465,plain,
% 7.36/5.60 ((~(v140(constB171) <=> (~(v88(constB171, 1) | v88(constB171, 2) | (~v88(constB171, 0)))))) | (~v140(constB171)) | (~(v88(constB171, 1) | v88(constB171, 2) | (~v88(constB171, 0))))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28466,plain,
% 7.36/5.60 (~v140(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28465, 28464, 28462])).
% 7.36/5.60 tff(28467,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB171) | v139(constB171) | (~v170(constB171)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB171) | v139(constB171) | (~v170(constB171)))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28468,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB171) | v139(constB171) | (~v170(constB171)))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28469,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB171) | v139(constB171) | (~v170(constB171))),
% 7.36/5.60 inference(modus_ponens,[status(thm)],[28468, 28467])).
% 7.36/5.60 tff(28470,plain,
% 7.36/5.60 (v140(constB171) | v139(constB171) | (~v170(constB171))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28469, 15833])).
% 7.36/5.60 tff(28471,plain,
% 7.36/5.60 (~v170(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28470, 28466, 28460])).
% 7.36/5.60 tff(28472,plain,
% 7.36/5.60 ((~(v163(constB171) <=> v170(constB171))) | (~v163(constB171)) | v170(constB171)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28473,plain,
% 7.36/5.60 ((~(v163(constB171) <=> v170(constB171))) | (~v163(constB171))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28472, 28471])).
% 7.36/5.60 tff(28474,plain,
% 7.36/5.60 (~v163(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28473, 28454])).
% 7.36/5.60 tff(28475,plain,
% 7.36/5.60 ((~(v161(constB171) <=> v163(constB171))) | (~v161(constB171)) | v163(constB171)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28476,plain,
% 7.36/5.60 ((~(v161(constB171) <=> v163(constB171))) | (~v161(constB171))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28475, 28474])).
% 7.36/5.60 tff(28477,plain,
% 7.36/5.60 (~v161(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28476, 28405])).
% 7.36/5.60 tff(28478,plain,
% 7.36/5.60 (((~v185(constB171)) | (~v161(constB171))) | v161(constB171)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28479,plain,
% 7.36/5.60 ((~v185(constB171)) | (~v161(constB171))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28478, 28477])).
% 7.36/5.60 tff(28480,plain,
% 7.36/5.60 ((~(v184(constB171) <=> (~((~v185(constB171)) | (~v161(constB171)))))) | (~v184(constB171)) | (~((~v185(constB171)) | (~v161(constB171))))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28481,plain,
% 7.36/5.60 (~v184(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28480, 28479, 28403])).
% 7.36/5.60 tff(28482,plain,
% 7.36/5.60 (((~v183(constB171)) | (~v184(constB171))) | v184(constB171)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28483,plain,
% 7.36/5.60 ((~v183(constB171)) | (~v184(constB171))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28482, 28481])).
% 7.36/5.60 tff(28484,plain,
% 7.36/5.60 ((~(v180(constB171) <=> (~((~v183(constB171)) | (~v184(constB171)))))) | (~v180(constB171)) | (~((~v183(constB171)) | (~v184(constB171))))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28485,plain,
% 7.36/5.60 (~v180(constB171)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28484, 28483, 28401])).
% 7.36/5.60 tff(28486,plain,
% 7.36/5.60 ((~(v182(constB172) <=> v180(constB171))) | (~v182(constB172)) | v180(constB171)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28487,plain,
% 7.36/5.60 (~v182(constB172)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28486, 28485, 28399])).
% 7.36/5.60 tff(28488,plain,
% 7.36/5.60 ((~(v159(constB172) <=> v182(constB172))) | (~v159(constB172)) | v182(constB172)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28489,plain,
% 7.36/5.60 (~v159(constB172)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28488, 28487, 28395])).
% 7.36/5.60 tff(28490,plain,
% 7.36/5.60 (((~v159(constB172)) | (~v194(constB172))) | v159(constB172)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28491,plain,
% 7.36/5.60 ((~v159(constB172)) | (~v194(constB172))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28490, 28489])).
% 7.36/5.60 tff(28492,plain,
% 7.36/5.60 ((~(v196(constB172) <=> (~((~v159(constB172)) | (~v194(constB172)))))) | (~v196(constB172)) | (~((~v159(constB172)) | (~v194(constB172))))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28493,plain,
% 7.36/5.60 (~v196(constB172)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28492, 28491, 28393])).
% 7.36/5.60 tff(28494,plain,
% 7.36/5.60 ((~(v193(constB172) | v196(constB172))) | v193(constB172) | v196(constB172)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28495,plain,
% 7.36/5.60 (~(v193(constB172) | v196(constB172))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28494, 28493, 28386])).
% 7.36/5.60 tff(28496,plain,
% 7.36/5.60 ((~(v190(constB172) <=> (v193(constB172) | v196(constB172)))) | (~v190(constB172)) | (v193(constB172) | v196(constB172))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28497,plain,
% 7.36/5.60 (~v190(constB172)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28496, 28495, 28240])).
% 7.36/5.60 tff(28498,plain,
% 7.36/5.60 ((~(v192(constB173) <=> v190(constB172))) | (~v192(constB173)) | v190(constB172)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28499,plain,
% 7.36/5.60 (~v192(constB173)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28498, 28497, 28238])).
% 7.36/5.60 tff(28500,plain,
% 7.36/5.60 ((~(v157(constB173) <=> v192(constB173))) | (~v157(constB173)) | v192(constB173)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28501,plain,
% 7.36/5.60 (~v157(constB173)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28500, 28499, 28234])).
% 7.36/5.60 tff(28502,plain,
% 7.36/5.60 (((~v157(constB173)) | (~v202(constB173))) | v157(constB173)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28503,plain,
% 7.36/5.60 ((~v157(constB173)) | (~v202(constB173))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28502, 28501])).
% 7.36/5.60 tff(28504,plain,
% 7.36/5.60 ((~(v201(constB173) <=> (~((~v157(constB173)) | (~v202(constB173)))))) | (~v201(constB173)) | (~((~v157(constB173)) | (~v202(constB173))))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28505,plain,
% 7.36/5.60 (~v201(constB173)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28504, 28503, 28232])).
% 7.36/5.60 tff(28506,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB173) <=> (~((~v159(constB173)) | (~v202(constB173)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB173) <=> (~((~v159(constB173)) | (~v202(constB173))))))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28507,plain,
% 7.36/5.60 ((v205(constB173) <=> (~((~v202(constB173)) | (~v159(constB173))))) <=> (v205(constB173) <=> (~((~v159(constB173)) | (~v202(constB173)))))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28508,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB173) <=> (~((~v202(constB173)) | (~v159(constB173)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB173) <=> (~((~v159(constB173)) | (~v202(constB173))))))),
% 7.36/5.60 inference(monotonicity,[status(thm)],[28507])).
% 7.36/5.60 tff(28509,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB173) <=> (~((~v202(constB173)) | (~v159(constB173)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB173) <=> (~((~v159(constB173)) | (~v202(constB173))))))),
% 7.36/5.60 inference(transitivity,[status(thm)],[28508, 28506])).
% 7.36/5.60 tff(28510,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB173) <=> (~((~v202(constB173)) | (~v159(constB173)))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28511,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB173) <=> (~((~v159(constB173)) | (~v202(constB173)))))),
% 7.36/5.60 inference(modus_ponens,[status(thm)],[28510, 28509])).
% 7.36/5.60 tff(28512,plain,
% 7.36/5.60 (v205(constB173) <=> (~((~v159(constB173)) | (~v202(constB173))))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28511, 138])).
% 7.36/5.60 tff(28513,plain,
% 7.36/5.60 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB173) <=> v182(constB173))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28514,plain,
% 7.36/5.60 (v159(constB173) <=> v182(constB173)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28513, 15113])).
% 7.36/5.60 tff(28515,plain,
% 7.36/5.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB172, constB173)) | (v182(constB173) <=> v180(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB172, constB173)) | (v182(constB173) <=> v180(constB172)))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28516,plain,
% 7.36/5.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB172, constB173)) | (v182(constB173) <=> v180(constB172)))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28517,plain,
% 7.36/5.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB172, constB173)) | (v182(constB173) <=> v180(constB172))),
% 7.36/5.60 inference(modus_ponens,[status(thm)],[28516, 28515])).
% 7.36/5.60 tff(28518,plain,
% 7.36/5.60 (v182(constB173) <=> v180(constB172)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28517, 17176, 15125])).
% 7.36/5.60 tff(28519,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB172) <=> (~((~v183(constB172)) | (~v184(constB172)))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28520,plain,
% 7.36/5.60 (v180(constB172) <=> (~((~v183(constB172)) | (~v184(constB172))))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28519, 15139])).
% 7.36/5.60 tff(28521,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB172) <=> (~((~v185(constB172)) | (~v161(constB172)))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28522,plain,
% 7.36/5.60 (v184(constB172) <=> (~((~v185(constB172)) | (~v161(constB172))))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28521, 15151])).
% 7.36/5.60 tff(28523,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28524,plain,
% 7.36/5.60 (v185(constB172) <=> (~((~v39(constB172)) | (~v9(constB172))))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28523, 93])).
% 7.36/5.60 tff(28525,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB172)) <=> v1(constB172))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28526,plain,
% 7.36/5.60 ((~v39(constB172)) <=> v1(constB172)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28525, 102])).
% 7.36/5.60 tff(28527,plain,
% 7.36/5.60 ((~((~v39(constB172)) <=> v1(constB172))) | (~v39(constB172)) | (~v1(constB172))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28528,plain,
% 7.36/5.60 ((~((~v39(constB172)) <=> v1(constB172))) | (~v39(constB172))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28527, 21983])).
% 7.36/5.60 tff(28529,plain,
% 7.36/5.60 (~v39(constB172)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28528, 28526])).
% 7.36/5.60 tff(28530,plain,
% 7.36/5.60 (((~v39(constB172)) | (~v9(constB172))) | v39(constB172)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28531,plain,
% 7.36/5.60 ((~v39(constB172)) | (~v9(constB172))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28530, 28529])).
% 7.36/5.60 tff(28532,plain,
% 7.36/5.60 ((~(v185(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))) | (~v185(constB172)) | (~((~v39(constB172)) | (~v9(constB172))))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28533,plain,
% 7.36/5.60 ((~(v185(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))) | (~v185(constB172))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28532, 28531])).
% 7.36/5.60 tff(28534,plain,
% 7.36/5.60 (~v185(constB172)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28533, 28524])).
% 7.36/5.60 tff(28535,plain,
% 7.36/5.60 (((~v185(constB172)) | (~v161(constB172))) | v185(constB172)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28536,plain,
% 7.36/5.60 ((~v185(constB172)) | (~v161(constB172))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28535, 28534])).
% 7.36/5.60 tff(28537,plain,
% 7.36/5.60 ((~(v184(constB172) <=> (~((~v185(constB172)) | (~v161(constB172)))))) | (~v184(constB172)) | (~((~v185(constB172)) | (~v161(constB172))))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28538,plain,
% 7.36/5.60 ((~(v184(constB172) <=> (~((~v185(constB172)) | (~v161(constB172)))))) | (~v184(constB172))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28537, 28536])).
% 7.36/5.60 tff(28539,plain,
% 7.36/5.60 (~v184(constB172)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28538, 28522])).
% 7.36/5.60 tff(28540,plain,
% 7.36/5.60 (((~v183(constB172)) | (~v184(constB172))) | v184(constB172)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28541,plain,
% 7.36/5.60 ((~v183(constB172)) | (~v184(constB172))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28540, 28539])).
% 7.36/5.60 tff(28542,plain,
% 7.36/5.60 ((~(v180(constB172) <=> (~((~v183(constB172)) | (~v184(constB172)))))) | (~v180(constB172)) | (~((~v183(constB172)) | (~v184(constB172))))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28543,plain,
% 7.36/5.60 (~v180(constB172)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28542, 28541, 28520])).
% 7.36/5.60 tff(28544,plain,
% 7.36/5.60 ((~(v182(constB173) <=> v180(constB172))) | (~v182(constB173)) | v180(constB172)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28545,plain,
% 7.36/5.60 (~v182(constB173)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28544, 28543, 28518])).
% 7.36/5.60 tff(28546,plain,
% 7.36/5.60 ((~(v159(constB173) <=> v182(constB173))) | (~v159(constB173)) | v182(constB173)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28547,plain,
% 7.36/5.60 (~v159(constB173)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28546, 28545, 28514])).
% 7.36/5.60 tff(28548,plain,
% 7.36/5.60 (((~v159(constB173)) | (~v202(constB173))) | v159(constB173)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28549,plain,
% 7.36/5.60 ((~v159(constB173)) | (~v202(constB173))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28548, 28547])).
% 7.36/5.60 tff(28550,plain,
% 7.36/5.60 ((~(v205(constB173) <=> (~((~v159(constB173)) | (~v202(constB173)))))) | (~v205(constB173)) | (~((~v159(constB173)) | (~v202(constB173))))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28551,plain,
% 7.36/5.60 (~v205(constB173)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28550, 28549, 28512])).
% 7.36/5.60 tff(28552,plain,
% 7.36/5.60 ((~(v201(constB173) | v205(constB173))) | v201(constB173) | v205(constB173)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28553,plain,
% 7.36/5.60 ((~(v201(constB173) | v205(constB173))) | v201(constB173)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28552, 28551])).
% 7.36/5.60 tff(28554,plain,
% 7.36/5.60 (~(v201(constB173) | v205(constB173))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28553, 28505])).
% 7.36/5.60 tff(28555,plain,
% 7.36/5.60 ((~(v200(constB173) <=> (v201(constB173) | v205(constB173)))) | (~v200(constB173)) | (v201(constB173) | v205(constB173))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28556,plain,
% 7.36/5.60 (~v200(constB173)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28555, 28554, 28225])).
% 7.36/5.60 tff(28557,plain,
% 7.36/5.60 ($false),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28556, 28223])).
% 7.36/5.60 tff(28558,plain,(~(constB173 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.36/5.60 tff(28559,assumption,(constB127 = VarCurr!0), introduced(assumption)).
% 7.36/5.60 tff(28560,plain,
% 7.36/5.60 (v200(constB127) <=> v200(VarCurr!0)),
% 7.36/5.60 inference(monotonicity,[status(thm)],[28559])).
% 7.36/5.60 tff(28561,plain,
% 7.36/5.60 (v200(VarCurr!0) <=> v200(constB127)),
% 7.36/5.60 inference(symmetry,[status(thm)],[28560])).
% 7.36/5.60 tff(28562,plain,
% 7.36/5.60 (v200(constB127)),
% 7.36/5.60 inference(modus_ponens,[status(thm)],[27, 28561])).
% 7.36/5.60 tff(28563,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB127) <=> (v201(constB127) | v205(constB127)))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28564,plain,
% 7.36/5.60 (v200(constB127) <=> (v201(constB127) | v205(constB127))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28563, 35])).
% 7.36/5.60 tff(28565,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB127) <=> (~((~v157(constB127)) | (~v202(constB127)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB127) <=> (~((~v157(constB127)) | (~v202(constB127))))))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28566,plain,
% 7.36/5.60 ((v201(constB127) <=> (~((~v202(constB127)) | (~v157(constB127))))) <=> (v201(constB127) <=> (~((~v157(constB127)) | (~v202(constB127)))))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28567,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB127) <=> (~((~v202(constB127)) | (~v157(constB127)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB127) <=> (~((~v157(constB127)) | (~v202(constB127))))))),
% 7.36/5.60 inference(monotonicity,[status(thm)],[28566])).
% 7.36/5.60 tff(28568,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB127) <=> (~((~v202(constB127)) | (~v157(constB127)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB127) <=> (~((~v157(constB127)) | (~v202(constB127))))))),
% 7.36/5.60 inference(transitivity,[status(thm)],[28567, 28565])).
% 7.36/5.60 tff(28569,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB127) <=> (~((~v202(constB127)) | (~v157(constB127)))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28570,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB127) <=> (~((~v157(constB127)) | (~v202(constB127)))))),
% 7.36/5.60 inference(modus_ponens,[status(thm)],[28569, 28568])).
% 7.36/5.60 tff(28571,plain,
% 7.36/5.60 (v201(constB127) <=> (~((~v157(constB127)) | (~v202(constB127))))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28570, 47])).
% 7.36/5.60 tff(28572,plain,
% 7.36/5.60 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB127) <=> v192(constB127))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28573,plain,
% 7.36/5.60 (v157(constB127) <=> v192(constB127)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28572, 15407])).
% 7.36/5.60 tff(28574,plain,
% 7.36/5.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB126, constB127)) | (v192(constB127) <=> v190(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB126, constB127)) | (v192(constB127) <=> v190(constB126)))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28575,plain,
% 7.36/5.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB126, constB127)) | (v192(constB127) <=> v190(constB126)))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28576,plain,
% 7.36/5.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB126, constB127)) | (v192(constB127) <=> v190(constB126))),
% 7.36/5.60 inference(modus_ponens,[status(thm)],[28575, 28574])).
% 7.36/5.60 tff(28577,plain,
% 7.36/5.60 (v192(constB127) <=> v190(constB126)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28576, 422, 15419])).
% 7.36/5.60 tff(28578,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB126) <=> (v193(constB126) | v196(constB126)))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28579,plain,
% 7.36/5.60 (v190(constB126) <=> (v193(constB126) | v196(constB126))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28578, 15430])).
% 7.36/5.60 tff(28580,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB126) <=> (~((~v157(constB126)) | (~v194(constB126)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB126) <=> (~((~v157(constB126)) | (~v194(constB126))))))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28581,plain,
% 7.36/5.60 ((v193(constB126) <=> (~((~v194(constB126)) | (~v157(constB126))))) <=> (v193(constB126) <=> (~((~v157(constB126)) | (~v194(constB126)))))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28582,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB126) <=> (~((~v194(constB126)) | (~v157(constB126)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB126) <=> (~((~v157(constB126)) | (~v194(constB126))))))),
% 7.36/5.60 inference(monotonicity,[status(thm)],[28581])).
% 7.36/5.60 tff(28583,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB126) <=> (~((~v194(constB126)) | (~v157(constB126)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB126) <=> (~((~v157(constB126)) | (~v194(constB126))))))),
% 7.36/5.60 inference(transitivity,[status(thm)],[28582, 28580])).
% 7.36/5.60 tff(28584,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB126) <=> (~((~v194(constB126)) | (~v157(constB126)))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28585,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB126) <=> (~((~v157(constB126)) | (~v194(constB126)))))),
% 7.36/5.60 inference(modus_ponens,[status(thm)],[28584, 28583])).
% 7.36/5.60 tff(28586,plain,
% 7.36/5.60 (v193(constB126) <=> (~((~v157(constB126)) | (~v194(constB126))))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28585, 15442])).
% 7.36/5.60 tff(28587,plain,
% 7.36/5.60 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB126) <=> v192(constB126))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28588,plain,
% 7.36/5.60 (v157(constB126) <=> v192(constB126)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28587, 15407])).
% 7.36/5.60 tff(28589,plain,
% 7.36/5.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB125, constB126)) | (v192(constB126) <=> v190(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB125, constB126)) | (v192(constB126) <=> v190(constB125)))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28590,plain,
% 7.36/5.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB125, constB126)) | (v192(constB126) <=> v190(constB125)))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28591,plain,
% 7.36/5.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB125, constB126)) | (v192(constB126) <=> v190(constB125))),
% 7.36/5.60 inference(modus_ponens,[status(thm)],[28590, 28589])).
% 7.36/5.60 tff(28592,plain,
% 7.36/5.60 (v192(constB126) <=> v190(constB125)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28591, 458, 15419])).
% 7.36/5.60 tff(28593,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB125) <=> (v193(constB125) | v196(constB125)))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28594,plain,
% 7.36/5.60 (v190(constB125) <=> (v193(constB125) | v196(constB125))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28593, 15430])).
% 7.36/5.60 tff(28595,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB125) <=> (~((~v159(constB125)) | (~v194(constB125)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB125) <=> (~((~v159(constB125)) | (~v194(constB125))))))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28596,plain,
% 7.36/5.60 ((v196(constB125) <=> (~((~v194(constB125)) | (~v159(constB125))))) <=> (v196(constB125) <=> (~((~v159(constB125)) | (~v194(constB125)))))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28597,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB125) <=> (~((~v194(constB125)) | (~v159(constB125)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB125) <=> (~((~v159(constB125)) | (~v194(constB125))))))),
% 7.36/5.60 inference(monotonicity,[status(thm)],[28596])).
% 7.36/5.60 tff(28598,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB125) <=> (~((~v194(constB125)) | (~v159(constB125)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB125) <=> (~((~v159(constB125)) | (~v194(constB125))))))),
% 7.36/5.60 inference(transitivity,[status(thm)],[28597, 28595])).
% 7.36/5.60 tff(28599,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB125) <=> (~((~v194(constB125)) | (~v159(constB125)))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28600,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB125) <=> (~((~v159(constB125)) | (~v194(constB125)))))),
% 7.36/5.60 inference(modus_ponens,[status(thm)],[28599, 28598])).
% 7.36/5.60 tff(28601,plain,
% 7.36/5.60 (v196(constB125) <=> (~((~v159(constB125)) | (~v194(constB125))))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28600, 15467])).
% 7.36/5.60 tff(28602,plain,
% 7.36/5.60 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB125) <=> v182(constB125))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28603,plain,
% 7.36/5.60 (v159(constB125) <=> v182(constB125)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28602, 15113])).
% 7.36/5.60 tff(28604,plain,
% 7.36/5.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB124, constB125)) | (v182(constB125) <=> v180(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB124, constB125)) | (v182(constB125) <=> v180(constB124)))),
% 7.36/5.60 inference(rewrite,[status(thm)],[])).
% 7.36/5.60 tff(28605,plain,
% 7.36/5.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB124, constB125)) | (v182(constB125) <=> v180(constB124)))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28606,plain,
% 7.36/5.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB124, constB125)) | (v182(constB125) <=> v180(constB124))),
% 7.36/5.60 inference(modus_ponens,[status(thm)],[28605, 28604])).
% 7.36/5.60 tff(28607,plain,
% 7.36/5.60 (v182(constB125) <=> v180(constB124)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28606, 496, 15125])).
% 7.36/5.60 tff(28608,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB124) <=> (~((~v183(constB124)) | (~v184(constB124)))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28609,plain,
% 7.36/5.60 (v180(constB124) <=> (~((~v183(constB124)) | (~v184(constB124))))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28608, 15139])).
% 7.36/5.60 tff(28610,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB124) <=> (~((~v185(constB124)) | (~v161(constB124)))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28611,plain,
% 7.36/5.60 (v184(constB124) <=> (~((~v185(constB124)) | (~v161(constB124))))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28610, 15151])).
% 7.36/5.60 tff(28612,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB124) <=> (~((~v39(constB124)) | (~v9(constB124)))))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28613,plain,
% 7.36/5.60 (v185(constB124) <=> (~((~v39(constB124)) | (~v9(constB124))))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28612, 93])).
% 7.36/5.60 tff(28614,plain,
% 7.36/5.60 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB124)) <=> v1(constB124))),
% 7.36/5.60 inference(quant_inst,[status(thm)],[])).
% 7.36/5.60 tff(28615,plain,
% 7.36/5.60 ((~v39(constB124)) <=> v1(constB124)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28614, 102])).
% 7.36/5.60 tff(28616,plain,
% 7.36/5.60 ((~((~v39(constB124)) <=> v1(constB124))) | (~v39(constB124)) | (~v1(constB124))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28617,plain,
% 7.36/5.60 ((~((~v39(constB124)) <=> v1(constB124))) | (~v39(constB124))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28616, 14568])).
% 7.36/5.60 tff(28618,plain,
% 7.36/5.60 (~v39(constB124)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28617, 28615])).
% 7.36/5.60 tff(28619,plain,
% 7.36/5.60 (((~v39(constB124)) | (~v9(constB124))) | v39(constB124)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28620,plain,
% 7.36/5.60 ((~v39(constB124)) | (~v9(constB124))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28619, 28618])).
% 7.36/5.60 tff(28621,plain,
% 7.36/5.60 ((~(v185(constB124) <=> (~((~v39(constB124)) | (~v9(constB124)))))) | (~v185(constB124)) | (~((~v39(constB124)) | (~v9(constB124))))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28622,plain,
% 7.36/5.60 ((~(v185(constB124) <=> (~((~v39(constB124)) | (~v9(constB124)))))) | (~v185(constB124))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28621, 28620])).
% 7.36/5.60 tff(28623,plain,
% 7.36/5.60 (~v185(constB124)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28622, 28613])).
% 7.36/5.60 tff(28624,plain,
% 7.36/5.60 (((~v185(constB124)) | (~v161(constB124))) | v185(constB124)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28625,plain,
% 7.36/5.60 ((~v185(constB124)) | (~v161(constB124))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28624, 28623])).
% 7.36/5.60 tff(28626,plain,
% 7.36/5.60 ((~(v184(constB124) <=> (~((~v185(constB124)) | (~v161(constB124)))))) | (~v184(constB124)) | (~((~v185(constB124)) | (~v161(constB124))))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28627,plain,
% 7.36/5.60 ((~(v184(constB124) <=> (~((~v185(constB124)) | (~v161(constB124)))))) | (~v184(constB124))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28626, 28625])).
% 7.36/5.60 tff(28628,plain,
% 7.36/5.60 (~v184(constB124)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28627, 28611])).
% 7.36/5.60 tff(28629,plain,
% 7.36/5.60 (((~v183(constB124)) | (~v184(constB124))) | v184(constB124)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28630,plain,
% 7.36/5.60 ((~v183(constB124)) | (~v184(constB124))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28629, 28628])).
% 7.36/5.60 tff(28631,plain,
% 7.36/5.60 ((~(v180(constB124) <=> (~((~v183(constB124)) | (~v184(constB124)))))) | (~v180(constB124)) | (~((~v183(constB124)) | (~v184(constB124))))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28632,plain,
% 7.36/5.60 (~v180(constB124)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28631, 28630, 28609])).
% 7.36/5.60 tff(28633,plain,
% 7.36/5.60 ((~(v182(constB125) <=> v180(constB124))) | (~v182(constB125)) | v180(constB124)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28634,plain,
% 7.36/5.60 (~v182(constB125)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28633, 28632, 28607])).
% 7.36/5.60 tff(28635,plain,
% 7.36/5.60 ((~(v159(constB125) <=> v182(constB125))) | (~v159(constB125)) | v182(constB125)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28636,plain,
% 7.36/5.60 (~v159(constB125)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28635, 28634, 28603])).
% 7.36/5.60 tff(28637,plain,
% 7.36/5.60 (((~v159(constB125)) | (~v194(constB125))) | v159(constB125)),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28638,plain,
% 7.36/5.60 ((~v159(constB125)) | (~v194(constB125))),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28637, 28636])).
% 7.36/5.60 tff(28639,plain,
% 7.36/5.60 ((~(v196(constB125) <=> (~((~v159(constB125)) | (~v194(constB125)))))) | (~v196(constB125)) | (~((~v159(constB125)) | (~v194(constB125))))),
% 7.36/5.60 inference(tautology,[status(thm)],[])).
% 7.36/5.60 tff(28640,plain,
% 7.36/5.60 (~v196(constB125)),
% 7.36/5.60 inference(unit_resolution,[status(thm)],[28639, 28638, 28601])).
% 7.36/5.60 tff(28641,plain,
% 7.36/5.60 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB125) <=> (~((~v157(constB125)) | (~v194(constB125)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB125) <=> (~((~v157(constB125)) | (~v194(constB125))))))),
% 7.36/5.61 inference(rewrite,[status(thm)],[])).
% 7.36/5.61 tff(28642,plain,
% 7.36/5.61 ((v193(constB125) <=> (~((~v194(constB125)) | (~v157(constB125))))) <=> (v193(constB125) <=> (~((~v157(constB125)) | (~v194(constB125)))))),
% 7.36/5.61 inference(rewrite,[status(thm)],[])).
% 7.36/5.61 tff(28643,plain,
% 7.36/5.61 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB125) <=> (~((~v194(constB125)) | (~v157(constB125)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB125) <=> (~((~v157(constB125)) | (~v194(constB125))))))),
% 7.36/5.61 inference(monotonicity,[status(thm)],[28642])).
% 7.36/5.61 tff(28644,plain,
% 7.36/5.61 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB125) <=> (~((~v194(constB125)) | (~v157(constB125)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB125) <=> (~((~v157(constB125)) | (~v194(constB125))))))),
% 7.36/5.61 inference(transitivity,[status(thm)],[28643, 28641])).
% 7.36/5.61 tff(28645,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB125) <=> (~((~v194(constB125)) | (~v157(constB125)))))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28646,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB125) <=> (~((~v157(constB125)) | (~v194(constB125)))))),
% 7.36/5.61 inference(modus_ponens,[status(thm)],[28645, 28644])).
% 7.36/5.61 tff(28647,plain,
% 7.36/5.61 (v193(constB125) <=> (~((~v157(constB125)) | (~v194(constB125))))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28646, 15442])).
% 7.36/5.61 tff(28648,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB125)) <=> v195(constB125))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28649,plain,
% 7.36/5.61 ((~v194(constB125)) <=> v195(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28648, 15527])).
% 7.36/5.61 tff(28650,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB125) <=> (v185(constB125) | v26(constB125)))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28651,plain,
% 7.36/5.61 (v195(constB125) <=> (v185(constB125) | v26(constB125))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28650, 15536])).
% 7.36/5.61 tff(28652,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB125) <=> (~((~v39(constB125)) | (~v9(constB125)))))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28653,plain,
% 7.36/5.61 (v185(constB125) <=> (~((~v39(constB125)) | (~v9(constB125))))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28652, 93])).
% 7.36/5.61 tff(28654,plain,
% 7.36/5.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125)))),
% 7.36/5.61 inference(rewrite,[status(thm)],[])).
% 7.36/5.61 tff(28655,plain,
% 7.36/5.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125)))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28656,plain,
% 7.36/5.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125))),
% 7.36/5.61 inference(modus_ponens,[status(thm)],[28655, 28654])).
% 7.36/5.61 tff(28657,plain,
% 7.36/5.61 (v13(constB126) <=> v9(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28656, 458, 15550])).
% 7.36/5.61 tff(28658,plain,
% 7.36/5.61 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB126) <=> v13(constB126))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28659,plain,
% 7.36/5.61 (v6(constB126) <=> v13(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28658, 15564])).
% 7.36/5.61 tff(28660,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB126)) <=> v6(constB126))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28661,plain,
% 7.36/5.61 ((~v21(constB126)) <=> v6(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28660, 15573])).
% 7.36/5.61 tff(28662,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB126) <=> (v20(constB126) | v21(constB126)))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28663,plain,
% 7.36/5.61 (v19(constB126) <=> (v20(constB126) | v21(constB126))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28662, 15582])).
% 7.36/5.61 tff(28664,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126)))))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28665,plain,
% 7.36/5.61 (v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126))))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28664, 15594])).
% 7.36/5.61 tff(28666,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB126)) <=> v18(constB126))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28667,plain,
% 7.36/5.61 ((~v4(constB126)) <=> v18(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28666, 15603])).
% 7.36/5.61 tff(28668,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB126)),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28669,plain,
% 7.36/5.61 (v4(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28668, 15612])).
% 7.36/5.61 tff(28670,plain,
% 7.36/5.61 ((~((~v4(constB126)) <=> v18(constB126))) | (~v4(constB126)) | (~v18(constB126))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28671,plain,
% 7.36/5.61 (~v18(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28670, 28669, 28667])).
% 7.36/5.61 tff(28672,plain,
% 7.36/5.61 ((~(v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126)))))) | v18(constB126) | ((~v19(constB126)) | (~v22(constB126)))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28673,plain,
% 7.36/5.61 ((~v19(constB126)) | (~v22(constB126))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28672, 28671, 28665])).
% 7.36/5.61 tff(28674,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB126) <=> (v1(constB126) | v6(constB126)))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28675,plain,
% 7.36/5.61 (v22(constB126) <=> (v1(constB126) | v6(constB126))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28674, 15625])).
% 7.36/5.61 tff(28676,plain,
% 7.36/5.61 ((v1(constB126) | v6(constB126)) | (~v1(constB126))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28677,plain,
% 7.36/5.61 (v1(constB126) | v6(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28676, 14746])).
% 7.36/5.61 tff(28678,plain,
% 7.36/5.61 ((~(v22(constB126) <=> (v1(constB126) | v6(constB126)))) | v22(constB126) | (~(v1(constB126) | v6(constB126)))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28679,plain,
% 7.36/5.61 ((~(v22(constB126) <=> (v1(constB126) | v6(constB126)))) | v22(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28678, 28677])).
% 7.36/5.61 tff(28680,plain,
% 7.36/5.61 (v22(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28679, 28675])).
% 7.36/5.61 tff(28681,plain,
% 7.36/5.61 ((~((~v19(constB126)) | (~v22(constB126)))) | (~v19(constB126)) | (~v22(constB126))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28682,plain,
% 7.36/5.61 ((~((~v19(constB126)) | (~v22(constB126)))) | (~v19(constB126))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28681, 28680])).
% 7.36/5.61 tff(28683,plain,
% 7.36/5.61 (~v19(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28682, 28673])).
% 7.36/5.61 tff(28684,plain,
% 7.36/5.61 ((~(v19(constB126) <=> (v20(constB126) | v21(constB126)))) | v19(constB126) | (~(v20(constB126) | v21(constB126)))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28685,plain,
% 7.36/5.61 (~(v20(constB126) | v21(constB126))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28684, 28683, 28663])).
% 7.36/5.61 tff(28686,plain,
% 7.36/5.61 ((v20(constB126) | v21(constB126)) | (~v21(constB126))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28687,plain,
% 7.36/5.61 (~v21(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28686, 28685])).
% 7.36/5.61 tff(28688,plain,
% 7.36/5.61 ((~((~v21(constB126)) <=> v6(constB126))) | v21(constB126) | v6(constB126)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28689,plain,
% 7.36/5.61 (v6(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28688, 28687, 28661])).
% 7.36/5.61 tff(28690,plain,
% 7.36/5.61 ((~(v6(constB126) <=> v13(constB126))) | (~v6(constB126)) | v13(constB126)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28691,plain,
% 7.36/5.61 (v13(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28690, 28689, 28659])).
% 7.36/5.61 tff(28692,plain,
% 7.36/5.61 ((~(v13(constB126) <=> v9(constB125))) | (~v13(constB126)) | v9(constB125)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28693,plain,
% 7.36/5.61 (v9(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28692, 28691, 28657])).
% 7.36/5.61 tff(28694,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB125)) <=> v1(constB125))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28695,plain,
% 7.36/5.61 ((~v39(constB125)) <=> v1(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28694, 102])).
% 7.36/5.61 tff(28696,plain,
% 7.36/5.61 ((~((~v39(constB125)) <=> v1(constB125))) | v39(constB125) | v1(constB125)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28697,plain,
% 7.36/5.61 ((~((~v39(constB125)) <=> v1(constB125))) | v39(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28696, 510])).
% 7.36/5.61 tff(28698,plain,
% 7.36/5.61 (v39(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28697, 28695])).
% 7.36/5.61 tff(28699,plain,
% 7.36/5.61 ((~((~v39(constB125)) | (~v9(constB125)))) | (~v39(constB125)) | (~v9(constB125))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28700,plain,
% 7.36/5.61 ((~((~v39(constB125)) | (~v9(constB125)))) | (~v9(constB125))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28699, 28698])).
% 7.36/5.61 tff(28701,plain,
% 7.36/5.61 (~((~v39(constB125)) | (~v9(constB125)))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28700, 28693])).
% 7.36/5.61 tff(28702,plain,
% 7.36/5.61 ((~(v185(constB125) <=> (~((~v39(constB125)) | (~v9(constB125)))))) | v185(constB125) | ((~v39(constB125)) | (~v9(constB125)))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28703,plain,
% 7.36/5.61 (v185(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28702, 28701, 28653])).
% 7.36/5.61 tff(28704,plain,
% 7.36/5.61 ((v185(constB125) | v26(constB125)) | (~v185(constB125))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28705,plain,
% 7.36/5.61 (v185(constB125) | v26(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28704, 28703])).
% 7.36/5.61 tff(28706,plain,
% 7.36/5.61 ((~(v195(constB125) <=> (v185(constB125) | v26(constB125)))) | v195(constB125) | (~(v185(constB125) | v26(constB125)))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28707,plain,
% 7.36/5.61 (v195(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28706, 28705, 28651])).
% 7.36/5.61 tff(28708,plain,
% 7.36/5.61 ((~((~v194(constB125)) <=> v195(constB125))) | (~v194(constB125)) | (~v195(constB125))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28709,plain,
% 7.36/5.61 (~v194(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28708, 28707, 28649])).
% 7.36/5.61 tff(28710,plain,
% 7.36/5.61 (((~v157(constB125)) | (~v194(constB125))) | v194(constB125)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28711,plain,
% 7.36/5.61 ((~v157(constB125)) | (~v194(constB125))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28710, 28709])).
% 7.36/5.61 tff(28712,plain,
% 7.36/5.61 ((~(v193(constB125) <=> (~((~v157(constB125)) | (~v194(constB125)))))) | (~v193(constB125)) | (~((~v157(constB125)) | (~v194(constB125))))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28713,plain,
% 7.36/5.61 (~v193(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28712, 28711, 28647])).
% 7.36/5.61 tff(28714,plain,
% 7.36/5.61 ((~(v193(constB125) | v196(constB125))) | v193(constB125) | v196(constB125)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28715,plain,
% 7.36/5.61 (~(v193(constB125) | v196(constB125))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28714, 28713, 28640])).
% 7.36/5.61 tff(28716,plain,
% 7.36/5.61 ((~(v190(constB125) <=> (v193(constB125) | v196(constB125)))) | (~v190(constB125)) | (v193(constB125) | v196(constB125))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28717,plain,
% 7.36/5.61 (~v190(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28716, 28715, 28594])).
% 7.36/5.61 tff(28718,plain,
% 7.36/5.61 ((~(v192(constB126) <=> v190(constB125))) | (~v192(constB126)) | v190(constB125)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28719,plain,
% 7.36/5.61 (~v192(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28718, 28717, 28592])).
% 7.36/5.61 tff(28720,plain,
% 7.36/5.61 ((~(v157(constB126) <=> v192(constB126))) | (~v157(constB126)) | v192(constB126)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28721,plain,
% 7.36/5.61 (~v157(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28720, 28719, 28588])).
% 7.36/5.61 tff(28722,plain,
% 7.36/5.61 (((~v157(constB126)) | (~v194(constB126))) | v157(constB126)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28723,plain,
% 7.36/5.61 ((~v157(constB126)) | (~v194(constB126))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28722, 28721])).
% 7.36/5.61 tff(28724,plain,
% 7.36/5.61 ((~(v193(constB126) <=> (~((~v157(constB126)) | (~v194(constB126)))))) | (~v193(constB126)) | (~((~v157(constB126)) | (~v194(constB126))))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28725,plain,
% 7.36/5.61 (~v193(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28724, 28723, 28586])).
% 7.36/5.61 tff(28726,plain,
% 7.36/5.61 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB126) <=> (~((~v159(constB126)) | (~v194(constB126)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB126) <=> (~((~v159(constB126)) | (~v194(constB126))))))),
% 7.36/5.61 inference(rewrite,[status(thm)],[])).
% 7.36/5.61 tff(28727,plain,
% 7.36/5.61 ((v196(constB126) <=> (~((~v194(constB126)) | (~v159(constB126))))) <=> (v196(constB126) <=> (~((~v159(constB126)) | (~v194(constB126)))))),
% 7.36/5.61 inference(rewrite,[status(thm)],[])).
% 7.36/5.61 tff(28728,plain,
% 7.36/5.61 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB126) <=> (~((~v194(constB126)) | (~v159(constB126)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB126) <=> (~((~v159(constB126)) | (~v194(constB126))))))),
% 7.36/5.61 inference(monotonicity,[status(thm)],[28727])).
% 7.36/5.61 tff(28729,plain,
% 7.36/5.61 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB126) <=> (~((~v194(constB126)) | (~v159(constB126)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB126) <=> (~((~v159(constB126)) | (~v194(constB126))))))),
% 7.36/5.61 inference(transitivity,[status(thm)],[28728, 28726])).
% 7.36/5.61 tff(28730,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB126) <=> (~((~v194(constB126)) | (~v159(constB126)))))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28731,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB126) <=> (~((~v159(constB126)) | (~v194(constB126)))))),
% 7.36/5.61 inference(modus_ponens,[status(thm)],[28730, 28729])).
% 7.36/5.61 tff(28732,plain,
% 7.36/5.61 (v196(constB126) <=> (~((~v159(constB126)) | (~v194(constB126))))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28731, 15467])).
% 7.36/5.61 tff(28733,plain,
% 7.36/5.61 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB126) <=> v182(constB126))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28734,plain,
% 7.36/5.61 (v159(constB126) <=> v182(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28733, 15113])).
% 7.36/5.61 tff(28735,plain,
% 7.36/5.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB125, constB126)) | (v182(constB126) <=> v180(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB125, constB126)) | (v182(constB126) <=> v180(constB125)))),
% 7.36/5.61 inference(rewrite,[status(thm)],[])).
% 7.36/5.61 tff(28736,plain,
% 7.36/5.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB125, constB126)) | (v182(constB126) <=> v180(constB125)))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28737,plain,
% 7.36/5.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB125, constB126)) | (v182(constB126) <=> v180(constB125))),
% 7.36/5.61 inference(modus_ponens,[status(thm)],[28736, 28735])).
% 7.36/5.61 tff(28738,plain,
% 7.36/5.61 (v182(constB126) <=> v180(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28737, 458, 15125])).
% 7.36/5.61 tff(28739,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB125) <=> (~((~v183(constB125)) | (~v184(constB125)))))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28740,plain,
% 7.36/5.61 (v180(constB125) <=> (~((~v183(constB125)) | (~v184(constB125))))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28739, 15139])).
% 7.36/5.61 tff(28741,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB125) <=> (~((~v185(constB125)) | (~v161(constB125)))))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28742,plain,
% 7.36/5.61 (v184(constB125) <=> (~((~v185(constB125)) | (~v161(constB125))))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28741, 15151])).
% 7.36/5.61 tff(28743,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB125) <=> v163(constB125))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28744,plain,
% 7.36/5.61 (v161(constB125) <=> v163(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28743, 15701])).
% 7.36/5.61 tff(28745,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB125) <=> (v145(constB125) | v167(constB125)))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28746,plain,
% 7.36/5.61 (v166(constB125) <=> (v145(constB125) | v167(constB125))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28745, 15713])).
% 7.36/5.61 tff(28747,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB125) <=> (v142(constB125) | v168(constB125)))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28748,plain,
% 7.36/5.61 (v167(constB125) <=> (v142(constB125) | v168(constB125))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28747, 15725])).
% 7.36/5.61 tff(28749,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB125) <=> (v143(constB125) | v144(constB125)))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28750,plain,
% 7.36/5.61 (v142(constB125) <=> (v143(constB125) | v144(constB125))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28749, 221])).
% 7.36/5.61 tff(28751,plain,
% 7.36/5.61 (^[VarCurr: state_type] : refl((v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2))))) <=> (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2))))))),
% 7.36/5.61 inference(bind,[status(th)],[])).
% 7.36/5.61 tff(28752,plain,
% 7.36/5.61 (![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2))))) <=> ![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))),
% 7.36/5.61 inference(quant_intro,[status(thm)],[28751])).
% 7.36/5.61 tff(28753,plain,
% 7.36/5.61 (^[VarCurr: state_type] : rewrite((v144(VarCurr) <=> (v88(VarCurr, 2) & v88(VarCurr, 1) & (~v88(VarCurr, 0)))) <=> (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2))))))),
% 7.36/5.61 inference(bind,[status(th)],[])).
% 7.36/5.61 tff(28754,plain,
% 7.36/5.61 (![VarCurr: state_type] : (v144(VarCurr) <=> (v88(VarCurr, 2) & v88(VarCurr, 1) & (~v88(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))),
% 7.36/5.61 inference(quant_intro,[status(thm)],[28753])).
% 7.36/5.61 tff(28755,plain,
% 7.36/5.61 (![VarCurr: state_type] : (v144(VarCurr) <=> (v88(VarCurr, 2) & v88(VarCurr, 1) & (~v88(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v144(VarCurr) <=> (v88(VarCurr, 2) & v88(VarCurr, 1) & (~v88(VarCurr, 0))))),
% 7.36/5.61 inference(rewrite,[status(thm)],[])).
% 7.36/5.61 tff(28756,plain,
% 7.36/5.61 (^[VarCurr: state_type] : rewrite((v144(VarCurr) <=> (((v88(VarCurr, 2) <=> $true) & (v88(VarCurr, 1) <=> $true)) & (v88(VarCurr, 0) <=> $false))) <=> (v144(VarCurr) <=> (v88(VarCurr, 2) & v88(VarCurr, 1) & (~v88(VarCurr, 0)))))),
% 7.36/5.61 inference(bind,[status(th)],[])).
% 7.36/5.61 tff(28757,plain,
% 7.36/5.61 (![VarCurr: state_type] : (v144(VarCurr) <=> (((v88(VarCurr, 2) <=> $true) & (v88(VarCurr, 1) <=> $true)) & (v88(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v144(VarCurr) <=> (v88(VarCurr, 2) & v88(VarCurr, 1) & (~v88(VarCurr, 0))))),
% 7.36/5.61 inference(quant_intro,[status(thm)],[28756])).
% 7.36/5.61 tff(28758,axiom,(![VarCurr: state_type] : (v144(VarCurr) <=> (((v88(VarCurr, 2) <=> $true) & (v88(VarCurr, 1) <=> $true)) & (v88(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13')).
% 7.36/5.61 tff(28759,plain,
% 7.36/5.61 (![VarCurr: state_type] : (v144(VarCurr) <=> (v88(VarCurr, 2) & v88(VarCurr, 1) & (~v88(VarCurr, 0))))),
% 7.36/5.61 inference(modus_ponens,[status(thm)],[28758, 28757])).
% 7.36/5.61 tff(28760,plain,
% 7.36/5.61 (![VarCurr: state_type] : (v144(VarCurr) <=> (v88(VarCurr, 2) & v88(VarCurr, 1) & (~v88(VarCurr, 0))))),
% 7.36/5.61 inference(modus_ponens,[status(thm)],[28759, 28755])).
% 7.36/5.61 tff(28761,plain,(
% 7.36/5.61 ![VarCurr: state_type] : (v144(VarCurr) <=> (v88(VarCurr, 2) & v88(VarCurr, 1) & (~v88(VarCurr, 0))))),
% 7.36/5.61 inference(skolemize,[status(sab)],[28760])).
% 7.36/5.61 tff(28762,plain,
% 7.36/5.61 (![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))),
% 7.36/5.61 inference(modus_ponens,[status(thm)],[28761, 28754])).
% 7.36/5.61 tff(28763,plain,
% 7.36/5.61 (![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))),
% 7.36/5.61 inference(modus_ponens,[status(thm)],[28762, 28752])).
% 7.36/5.61 tff(28764,plain,
% 7.36/5.61 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB125) <=> (~((~v88(constB125, 1)) | (~v88(constB125, 2)) | v88(constB125, 0))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB125) <=> (~((~v88(constB125, 1)) | (~v88(constB125, 2)) | v88(constB125, 0)))))),
% 7.36/5.61 inference(rewrite,[status(thm)],[])).
% 7.36/5.61 tff(28765,plain,
% 7.36/5.61 ((v144(constB125) <=> (~(v88(constB125, 0) | (~v88(constB125, 1)) | (~v88(constB125, 2))))) <=> (v144(constB125) <=> (~((~v88(constB125, 1)) | (~v88(constB125, 2)) | v88(constB125, 0))))),
% 7.36/5.61 inference(rewrite,[status(thm)],[])).
% 7.36/5.61 tff(28766,plain,
% 7.36/5.61 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB125) <=> (~(v88(constB125, 0) | (~v88(constB125, 1)) | (~v88(constB125, 2)))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB125) <=> (~((~v88(constB125, 1)) | (~v88(constB125, 2)) | v88(constB125, 0)))))),
% 7.36/5.61 inference(monotonicity,[status(thm)],[28765])).
% 7.36/5.61 tff(28767,plain,
% 7.36/5.61 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB125) <=> (~(v88(constB125, 0) | (~v88(constB125, 1)) | (~v88(constB125, 2)))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB125) <=> (~((~v88(constB125, 1)) | (~v88(constB125, 2)) | v88(constB125, 0)))))),
% 7.36/5.61 inference(transitivity,[status(thm)],[28766, 28764])).
% 7.36/5.61 tff(28768,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB125) <=> (~(v88(constB125, 0) | (~v88(constB125, 1)) | (~v88(constB125, 2)))))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28769,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB125) <=> (~((~v88(constB125, 1)) | (~v88(constB125, 2)) | v88(constB125, 0))))),
% 7.36/5.61 inference(modus_ponens,[status(thm)],[28768, 28767])).
% 7.36/5.61 tff(28770,plain,
% 7.36/5.61 (v144(constB125) <=> (~((~v88(constB125, 1)) | (~v88(constB125, 2)) | v88(constB125, 0)))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28769, 28763])).
% 7.36/5.61 tff(28771,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB125, 1)) <=> v90(constB125, 1)) | ((~v88(constB125, 2)) <=> v90(constB125, 2)) | ((~v88(constB125, 0)) <=> v90(constB125, 0))))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28772,plain,
% 7.36/5.61 (~(((~v88(constB125, 1)) <=> v90(constB125, 1)) | ((~v88(constB125, 2)) <=> v90(constB125, 2)) | ((~v88(constB125, 0)) <=> v90(constB125, 0)))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28771, 256])).
% 7.36/5.61 tff(28773,plain,
% 7.36/5.61 ((((~v88(constB125, 1)) <=> v90(constB125, 1)) | ((~v88(constB125, 2)) <=> v90(constB125, 2)) | ((~v88(constB125, 0)) <=> v90(constB125, 0))) | (~((~v88(constB125, 2)) <=> v90(constB125, 2)))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28774,plain,
% 7.36/5.61 (~((~v88(constB125, 2)) <=> v90(constB125, 2))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28773, 28772])).
% 7.36/5.61 tff(28775,plain,
% 7.36/5.61 (((~v88(constB125, 2)) <=> v90(constB125, 2)) | v88(constB125, 2) | (~v90(constB125, 2))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28776,plain,
% 7.36/5.61 (v88(constB125, 2)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28775, 14630, 28774])).
% 7.36/5.61 tff(28777,plain,
% 7.36/5.61 ((((~v88(constB125, 1)) <=> v90(constB125, 1)) | ((~v88(constB125, 2)) <=> v90(constB125, 2)) | ((~v88(constB125, 0)) <=> v90(constB125, 0))) | (~((~v88(constB125, 0)) <=> v90(constB125, 0)))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28778,plain,
% 7.36/5.61 (~((~v88(constB125, 0)) <=> v90(constB125, 0))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28777, 28772])).
% 7.36/5.61 tff(28779,plain,
% 7.36/5.61 (((~v88(constB125, 0)) <=> v90(constB125, 0)) | (~v88(constB125, 0)) | v90(constB125, 0)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28780,plain,
% 7.36/5.61 (~v88(constB125, 0)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28779, 14781, 28778])).
% 7.36/5.61 tff(28781,plain,
% 7.36/5.61 ((((~v88(constB125, 1)) <=> v90(constB125, 1)) | ((~v88(constB125, 2)) <=> v90(constB125, 2)) | ((~v88(constB125, 0)) <=> v90(constB125, 0))) | (~((~v88(constB125, 1)) <=> v90(constB125, 1)))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28782,plain,
% 7.36/5.61 (~((~v88(constB125, 1)) <=> v90(constB125, 1))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28781, 28772])).
% 7.36/5.61 tff(28783,plain,
% 7.36/5.61 (((~v88(constB125, 1)) <=> v90(constB125, 1)) | v88(constB125, 1) | (~v90(constB125, 1))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28784,plain,
% 7.36/5.61 (v88(constB125, 1)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28783, 14659, 28782])).
% 7.36/5.61 tff(28785,plain,
% 7.36/5.61 ((~((~v88(constB125, 1)) | (~v88(constB125, 2)) | v88(constB125, 0))) | (~v88(constB125, 1)) | (~v88(constB125, 2)) | v88(constB125, 0)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28786,plain,
% 7.36/5.61 (~((~v88(constB125, 1)) | (~v88(constB125, 2)) | v88(constB125, 0))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28785, 28784, 28780, 28776])).
% 7.36/5.61 tff(28787,plain,
% 7.36/5.61 ((~(v144(constB125) <=> (~((~v88(constB125, 1)) | (~v88(constB125, 2)) | v88(constB125, 0))))) | v144(constB125) | ((~v88(constB125, 1)) | (~v88(constB125, 2)) | v88(constB125, 0))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28788,plain,
% 7.36/5.61 (v144(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28787, 28786, 28770])).
% 7.36/5.61 tff(28789,plain,
% 7.36/5.61 ((v143(constB125) | v144(constB125)) | (~v144(constB125))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28790,plain,
% 7.36/5.61 (v143(constB125) | v144(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28789, 28788])).
% 7.36/5.61 tff(28791,plain,
% 7.36/5.61 ((~(v142(constB125) <=> (v143(constB125) | v144(constB125)))) | v142(constB125) | (~(v143(constB125) | v144(constB125)))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28792,plain,
% 7.36/5.61 (v142(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28791, 28790, 28750])).
% 7.36/5.61 tff(28793,plain,
% 7.36/5.61 ((v142(constB125) | v168(constB125)) | (~v142(constB125))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28794,plain,
% 7.36/5.61 (v142(constB125) | v168(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28793, 28792])).
% 7.36/5.61 tff(28795,plain,
% 7.36/5.61 ((~(v167(constB125) <=> (v142(constB125) | v168(constB125)))) | v167(constB125) | (~(v142(constB125) | v168(constB125)))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28796,plain,
% 7.36/5.61 ((~(v167(constB125) <=> (v142(constB125) | v168(constB125)))) | v167(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28795, 28794])).
% 7.36/5.61 tff(28797,plain,
% 7.36/5.61 (v167(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28796, 28748])).
% 7.36/5.61 tff(28798,plain,
% 7.36/5.61 ((v145(constB125) | v167(constB125)) | (~v167(constB125))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28799,plain,
% 7.36/5.61 (v145(constB125) | v167(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28798, 28797])).
% 7.36/5.61 tff(28800,plain,
% 7.36/5.61 ((~(v166(constB125) <=> (v145(constB125) | v167(constB125)))) | v166(constB125) | (~(v145(constB125) | v167(constB125)))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28801,plain,
% 7.36/5.61 (v166(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28800, 28799, 28746])).
% 7.36/5.61 tff(28802,plain,
% 7.36/5.61 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB125)) | (v163(constB125) <=> v170(constB125)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB125)) | (v163(constB125) <=> v170(constB125)))),
% 7.36/5.61 inference(rewrite,[status(thm)],[])).
% 7.36/5.61 tff(28803,plain,
% 7.36/5.61 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB125)) | (v163(constB125) <=> v170(constB125)))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28804,plain,
% 7.36/5.61 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB125)) | (v163(constB125) <=> v170(constB125))),
% 7.36/5.61 inference(modus_ponens,[status(thm)],[28803, 28802])).
% 7.36/5.61 tff(28805,plain,
% 7.36/5.61 ((~v166(constB125)) | (v163(constB125) <=> v170(constB125))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28804, 15777])).
% 7.36/5.61 tff(28806,plain,
% 7.36/5.61 (v163(constB125) <=> v170(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28805, 28801])).
% 7.36/5.61 tff(28807,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB125) <=> (~(v88(constB125, 0) | v88(constB125, 1) | v88(constB125, 2))))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28808,plain,
% 7.36/5.61 (v139(constB125) <=> (~(v88(constB125, 0) | v88(constB125, 1) | v88(constB125, 2)))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28807, 15795])).
% 7.36/5.61 tff(28809,plain,
% 7.36/5.61 ((v88(constB125, 0) | v88(constB125, 1) | v88(constB125, 2)) | (~v88(constB125, 2))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28810,plain,
% 7.36/5.61 (v88(constB125, 0) | v88(constB125, 1) | v88(constB125, 2)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28809, 28776])).
% 7.36/5.61 tff(28811,plain,
% 7.36/5.61 ((~(v139(constB125) <=> (~(v88(constB125, 0) | v88(constB125, 1) | v88(constB125, 2))))) | (~v139(constB125)) | (~(v88(constB125, 0) | v88(constB125, 1) | v88(constB125, 2)))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28812,plain,
% 7.36/5.61 (~v139(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28811, 28810, 28808])).
% 7.36/5.61 tff(28813,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB125) <=> (~(v88(constB125, 1) | v88(constB125, 2) | (~v88(constB125, 0)))))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28814,plain,
% 7.36/5.61 (v140(constB125) <=> (~(v88(constB125, 1) | v88(constB125, 2) | (~v88(constB125, 0))))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28813, 15814])).
% 7.36/5.61 tff(28815,plain,
% 7.36/5.61 ((v88(constB125, 1) | v88(constB125, 2) | (~v88(constB125, 0))) | (~v88(constB125, 2))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28816,plain,
% 7.36/5.61 (v88(constB125, 1) | v88(constB125, 2) | (~v88(constB125, 0))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28815, 28776])).
% 7.36/5.61 tff(28817,plain,
% 7.36/5.61 ((~(v140(constB125) <=> (~(v88(constB125, 1) | v88(constB125, 2) | (~v88(constB125, 0)))))) | (~v140(constB125)) | (~(v88(constB125, 1) | v88(constB125, 2) | (~v88(constB125, 0))))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28818,plain,
% 7.36/5.61 (~v140(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28817, 28816, 28814])).
% 7.36/5.61 tff(28819,plain,
% 7.36/5.61 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB125) | v139(constB125) | (~v170(constB125)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB125) | v139(constB125) | (~v170(constB125)))),
% 7.36/5.61 inference(rewrite,[status(thm)],[])).
% 7.36/5.61 tff(28820,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB125) | v139(constB125) | (~v170(constB125)))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28821,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB125) | v139(constB125) | (~v170(constB125))),
% 7.36/5.61 inference(modus_ponens,[status(thm)],[28820, 28819])).
% 7.36/5.61 tff(28822,plain,
% 7.36/5.61 (v140(constB125) | v139(constB125) | (~v170(constB125))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28821, 15833])).
% 7.36/5.61 tff(28823,plain,
% 7.36/5.61 (~v170(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28822, 28818, 28812])).
% 7.36/5.61 tff(28824,plain,
% 7.36/5.61 ((~(v163(constB125) <=> v170(constB125))) | (~v163(constB125)) | v170(constB125)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28825,plain,
% 7.36/5.61 ((~(v163(constB125) <=> v170(constB125))) | (~v163(constB125))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28824, 28823])).
% 7.36/5.61 tff(28826,plain,
% 7.36/5.61 (~v163(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28825, 28806])).
% 7.36/5.61 tff(28827,plain,
% 7.36/5.61 ((~(v161(constB125) <=> v163(constB125))) | (~v161(constB125)) | v163(constB125)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28828,plain,
% 7.36/5.61 ((~(v161(constB125) <=> v163(constB125))) | (~v161(constB125))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28827, 28826])).
% 7.36/5.61 tff(28829,plain,
% 7.36/5.61 (~v161(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28828, 28744])).
% 7.36/5.61 tff(28830,plain,
% 7.36/5.61 (((~v185(constB125)) | (~v161(constB125))) | v161(constB125)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28831,plain,
% 7.36/5.61 ((~v185(constB125)) | (~v161(constB125))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28830, 28829])).
% 7.36/5.61 tff(28832,plain,
% 7.36/5.61 ((~(v184(constB125) <=> (~((~v185(constB125)) | (~v161(constB125)))))) | (~v184(constB125)) | (~((~v185(constB125)) | (~v161(constB125))))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28833,plain,
% 7.36/5.61 (~v184(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28832, 28831, 28742])).
% 7.36/5.61 tff(28834,plain,
% 7.36/5.61 (((~v183(constB125)) | (~v184(constB125))) | v184(constB125)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28835,plain,
% 7.36/5.61 ((~v183(constB125)) | (~v184(constB125))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28834, 28833])).
% 7.36/5.61 tff(28836,plain,
% 7.36/5.61 ((~(v180(constB125) <=> (~((~v183(constB125)) | (~v184(constB125)))))) | (~v180(constB125)) | (~((~v183(constB125)) | (~v184(constB125))))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28837,plain,
% 7.36/5.61 (~v180(constB125)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28836, 28835, 28740])).
% 7.36/5.61 tff(28838,plain,
% 7.36/5.61 ((~(v182(constB126) <=> v180(constB125))) | (~v182(constB126)) | v180(constB125)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28839,plain,
% 7.36/5.61 (~v182(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28838, 28837, 28738])).
% 7.36/5.61 tff(28840,plain,
% 7.36/5.61 ((~(v159(constB126) <=> v182(constB126))) | (~v159(constB126)) | v182(constB126)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28841,plain,
% 7.36/5.61 (~v159(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28840, 28839, 28734])).
% 7.36/5.61 tff(28842,plain,
% 7.36/5.61 (((~v159(constB126)) | (~v194(constB126))) | v159(constB126)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28843,plain,
% 7.36/5.61 ((~v159(constB126)) | (~v194(constB126))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28842, 28841])).
% 7.36/5.61 tff(28844,plain,
% 7.36/5.61 ((~(v196(constB126) <=> (~((~v159(constB126)) | (~v194(constB126)))))) | (~v196(constB126)) | (~((~v159(constB126)) | (~v194(constB126))))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28845,plain,
% 7.36/5.61 (~v196(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28844, 28843, 28732])).
% 7.36/5.61 tff(28846,plain,
% 7.36/5.61 ((~(v193(constB126) | v196(constB126))) | v193(constB126) | v196(constB126)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28847,plain,
% 7.36/5.61 (~(v193(constB126) | v196(constB126))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28846, 28845, 28725])).
% 7.36/5.61 tff(28848,plain,
% 7.36/5.61 ((~(v190(constB126) <=> (v193(constB126) | v196(constB126)))) | (~v190(constB126)) | (v193(constB126) | v196(constB126))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28849,plain,
% 7.36/5.61 (~v190(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28848, 28847, 28579])).
% 7.36/5.61 tff(28850,plain,
% 7.36/5.61 ((~(v192(constB127) <=> v190(constB126))) | (~v192(constB127)) | v190(constB126)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28851,plain,
% 7.36/5.61 (~v192(constB127)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28850, 28849, 28577])).
% 7.36/5.61 tff(28852,plain,
% 7.36/5.61 ((~(v157(constB127) <=> v192(constB127))) | (~v157(constB127)) | v192(constB127)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28853,plain,
% 7.36/5.61 (~v157(constB127)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28852, 28851, 28573])).
% 7.36/5.61 tff(28854,plain,
% 7.36/5.61 (((~v157(constB127)) | (~v202(constB127))) | v157(constB127)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28855,plain,
% 7.36/5.61 ((~v157(constB127)) | (~v202(constB127))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28854, 28853])).
% 7.36/5.61 tff(28856,plain,
% 7.36/5.61 ((~(v201(constB127) <=> (~((~v157(constB127)) | (~v202(constB127)))))) | (~v201(constB127)) | (~((~v157(constB127)) | (~v202(constB127))))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28857,plain,
% 7.36/5.61 (~v201(constB127)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28856, 28855, 28571])).
% 7.36/5.61 tff(28858,plain,
% 7.36/5.61 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB127) <=> (~((~v159(constB127)) | (~v202(constB127)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB127) <=> (~((~v159(constB127)) | (~v202(constB127))))))),
% 7.36/5.61 inference(rewrite,[status(thm)],[])).
% 7.36/5.61 tff(28859,plain,
% 7.36/5.61 ((v205(constB127) <=> (~((~v202(constB127)) | (~v159(constB127))))) <=> (v205(constB127) <=> (~((~v159(constB127)) | (~v202(constB127)))))),
% 7.36/5.61 inference(rewrite,[status(thm)],[])).
% 7.36/5.61 tff(28860,plain,
% 7.36/5.61 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB127) <=> (~((~v202(constB127)) | (~v159(constB127)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB127) <=> (~((~v159(constB127)) | (~v202(constB127))))))),
% 7.36/5.61 inference(monotonicity,[status(thm)],[28859])).
% 7.36/5.61 tff(28861,plain,
% 7.36/5.61 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB127) <=> (~((~v202(constB127)) | (~v159(constB127)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB127) <=> (~((~v159(constB127)) | (~v202(constB127))))))),
% 7.36/5.61 inference(transitivity,[status(thm)],[28860, 28858])).
% 7.36/5.61 tff(28862,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB127) <=> (~((~v202(constB127)) | (~v159(constB127)))))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28863,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB127) <=> (~((~v159(constB127)) | (~v202(constB127)))))),
% 7.36/5.61 inference(modus_ponens,[status(thm)],[28862, 28861])).
% 7.36/5.61 tff(28864,plain,
% 7.36/5.61 (v205(constB127) <=> (~((~v159(constB127)) | (~v202(constB127))))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28863, 138])).
% 7.36/5.61 tff(28865,plain,
% 7.36/5.61 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB127) <=> v182(constB127))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28866,plain,
% 7.36/5.61 (v159(constB127) <=> v182(constB127)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28865, 15113])).
% 7.36/5.61 tff(28867,plain,
% 7.36/5.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB126, constB127)) | (v182(constB127) <=> v180(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB126, constB127)) | (v182(constB127) <=> v180(constB126)))),
% 7.36/5.61 inference(rewrite,[status(thm)],[])).
% 7.36/5.61 tff(28868,plain,
% 7.36/5.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB126, constB127)) | (v182(constB127) <=> v180(constB126)))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28869,plain,
% 7.36/5.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB126, constB127)) | (v182(constB127) <=> v180(constB126))),
% 7.36/5.61 inference(modus_ponens,[status(thm)],[28868, 28867])).
% 7.36/5.61 tff(28870,plain,
% 7.36/5.61 (v182(constB127) <=> v180(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28869, 422, 15125])).
% 7.36/5.61 tff(28871,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB126) <=> (~((~v183(constB126)) | (~v184(constB126)))))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28872,plain,
% 7.36/5.61 (v180(constB126) <=> (~((~v183(constB126)) | (~v184(constB126))))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28871, 15139])).
% 7.36/5.61 tff(28873,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB126) <=> (~((~v185(constB126)) | (~v161(constB126)))))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28874,plain,
% 7.36/5.61 (v184(constB126) <=> (~((~v185(constB126)) | (~v161(constB126))))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28873, 15151])).
% 7.36/5.61 tff(28875,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28876,plain,
% 7.36/5.61 (v185(constB126) <=> (~((~v39(constB126)) | (~v9(constB126))))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28875, 93])).
% 7.36/5.61 tff(28877,plain,
% 7.36/5.61 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB126)) <=> v1(constB126))),
% 7.36/5.61 inference(quant_inst,[status(thm)],[])).
% 7.36/5.61 tff(28878,plain,
% 7.36/5.61 ((~v39(constB126)) <=> v1(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28877, 102])).
% 7.36/5.61 tff(28879,plain,
% 7.36/5.61 ((~((~v39(constB126)) <=> v1(constB126))) | (~v39(constB126)) | (~v1(constB126))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28880,plain,
% 7.36/5.61 ((~((~v39(constB126)) <=> v1(constB126))) | (~v39(constB126))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28879, 14746])).
% 7.36/5.61 tff(28881,plain,
% 7.36/5.61 (~v39(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28880, 28878])).
% 7.36/5.61 tff(28882,plain,
% 7.36/5.61 (((~v39(constB126)) | (~v9(constB126))) | v39(constB126)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28883,plain,
% 7.36/5.61 ((~v39(constB126)) | (~v9(constB126))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28882, 28881])).
% 7.36/5.61 tff(28884,plain,
% 7.36/5.61 ((~(v185(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))) | (~v185(constB126)) | (~((~v39(constB126)) | (~v9(constB126))))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28885,plain,
% 7.36/5.61 ((~(v185(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))) | (~v185(constB126))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28884, 28883])).
% 7.36/5.61 tff(28886,plain,
% 7.36/5.61 (~v185(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28885, 28876])).
% 7.36/5.61 tff(28887,plain,
% 7.36/5.61 (((~v185(constB126)) | (~v161(constB126))) | v185(constB126)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28888,plain,
% 7.36/5.61 ((~v185(constB126)) | (~v161(constB126))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28887, 28886])).
% 7.36/5.61 tff(28889,plain,
% 7.36/5.61 ((~(v184(constB126) <=> (~((~v185(constB126)) | (~v161(constB126)))))) | (~v184(constB126)) | (~((~v185(constB126)) | (~v161(constB126))))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28890,plain,
% 7.36/5.61 ((~(v184(constB126) <=> (~((~v185(constB126)) | (~v161(constB126)))))) | (~v184(constB126))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28889, 28888])).
% 7.36/5.61 tff(28891,plain,
% 7.36/5.61 (~v184(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28890, 28874])).
% 7.36/5.61 tff(28892,plain,
% 7.36/5.61 (((~v183(constB126)) | (~v184(constB126))) | v184(constB126)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28893,plain,
% 7.36/5.61 ((~v183(constB126)) | (~v184(constB126))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28892, 28891])).
% 7.36/5.61 tff(28894,plain,
% 7.36/5.61 ((~(v180(constB126) <=> (~((~v183(constB126)) | (~v184(constB126)))))) | (~v180(constB126)) | (~((~v183(constB126)) | (~v184(constB126))))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28895,plain,
% 7.36/5.61 (~v180(constB126)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28894, 28893, 28872])).
% 7.36/5.61 tff(28896,plain,
% 7.36/5.61 ((~(v182(constB127) <=> v180(constB126))) | (~v182(constB127)) | v180(constB126)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28897,plain,
% 7.36/5.61 (~v182(constB127)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28896, 28895, 28870])).
% 7.36/5.61 tff(28898,plain,
% 7.36/5.61 ((~(v159(constB127) <=> v182(constB127))) | (~v159(constB127)) | v182(constB127)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28899,plain,
% 7.36/5.61 (~v159(constB127)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28898, 28897, 28866])).
% 7.36/5.61 tff(28900,plain,
% 7.36/5.61 (((~v159(constB127)) | (~v202(constB127))) | v159(constB127)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28901,plain,
% 7.36/5.61 ((~v159(constB127)) | (~v202(constB127))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28900, 28899])).
% 7.36/5.61 tff(28902,plain,
% 7.36/5.61 ((~(v205(constB127) <=> (~((~v159(constB127)) | (~v202(constB127)))))) | (~v205(constB127)) | (~((~v159(constB127)) | (~v202(constB127))))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28903,plain,
% 7.36/5.61 (~v205(constB127)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28902, 28901, 28864])).
% 7.36/5.61 tff(28904,plain,
% 7.36/5.61 ((~(v201(constB127) | v205(constB127))) | v201(constB127) | v205(constB127)),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28905,plain,
% 7.36/5.61 ((~(v201(constB127) | v205(constB127))) | v201(constB127)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28904, 28903])).
% 7.36/5.61 tff(28906,plain,
% 7.36/5.61 (~(v201(constB127) | v205(constB127))),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28905, 28857])).
% 7.36/5.61 tff(28907,plain,
% 7.36/5.61 ((~(v200(constB127) <=> (v201(constB127) | v205(constB127)))) | (~v200(constB127)) | (v201(constB127) | v205(constB127))),
% 7.36/5.61 inference(tautology,[status(thm)],[])).
% 7.36/5.61 tff(28908,plain,
% 7.36/5.61 (~v200(constB127)),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28907, 28906, 28564])).
% 7.36/5.61 tff(28909,plain,
% 7.36/5.61 ($false),
% 7.36/5.61 inference(unit_resolution,[status(thm)],[28908, 28562])).
% 7.36/5.61 tff(28910,plain,(~(constB127 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.36/5.61 tff(28911,assumption,(constB95 = VarCurr!0), introduced(assumption)).
% 7.36/5.61 tff(28912,plain,
% 7.36/5.61 (v200(constB95) <=> v200(VarCurr!0)),
% 7.36/5.61 inference(monotonicity,[status(thm)],[28911])).
% 7.36/5.61 tff(28913,plain,
% 7.36/5.62 (v200(VarCurr!0) <=> v200(constB95)),
% 7.36/5.62 inference(symmetry,[status(thm)],[28912])).
% 7.36/5.62 tff(28914,plain,
% 7.36/5.62 (v200(constB95)),
% 7.36/5.62 inference(modus_ponens,[status(thm)],[27, 28913])).
% 7.36/5.62 tff(28915,plain,
% 7.36/5.62 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB95) <=> (v201(constB95) | v205(constB95)))),
% 7.36/5.62 inference(quant_inst,[status(thm)],[])).
% 7.36/5.62 tff(28916,plain,
% 7.36/5.62 (v200(constB95) <=> (v201(constB95) | v205(constB95))),
% 7.36/5.62 inference(unit_resolution,[status(thm)],[28915, 35])).
% 7.36/5.62 tff(28917,plain,
% 7.36/5.62 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB95) <=> (~((~v157(constB95)) | (~v202(constB95)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB95) <=> (~((~v157(constB95)) | (~v202(constB95))))))),
% 7.36/5.62 inference(rewrite,[status(thm)],[])).
% 7.36/5.62 tff(28918,plain,
% 7.36/5.62 ((v201(constB95) <=> (~((~v202(constB95)) | (~v157(constB95))))) <=> (v201(constB95) <=> (~((~v157(constB95)) | (~v202(constB95)))))),
% 7.36/5.62 inference(rewrite,[status(thm)],[])).
% 7.36/5.62 tff(28919,plain,
% 7.36/5.62 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB95) <=> (~((~v202(constB95)) | (~v157(constB95)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB95) <=> (~((~v157(constB95)) | (~v202(constB95))))))),
% 7.36/5.62 inference(monotonicity,[status(thm)],[28918])).
% 7.36/5.62 tff(28920,plain,
% 7.36/5.62 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB95) <=> (~((~v202(constB95)) | (~v157(constB95)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB95) <=> (~((~v157(constB95)) | (~v202(constB95))))))),
% 7.36/5.62 inference(transitivity,[status(thm)],[28919, 28917])).
% 7.36/5.62 tff(28921,plain,
% 7.36/5.62 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB95) <=> (~((~v202(constB95)) | (~v157(constB95)))))),
% 7.36/5.62 inference(quant_inst,[status(thm)],[])).
% 7.36/5.62 tff(28922,plain,
% 7.36/5.62 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB95) <=> (~((~v157(constB95)) | (~v202(constB95)))))),
% 7.36/5.62 inference(modus_ponens,[status(thm)],[28921, 28920])).
% 7.36/5.62 tff(28923,plain,
% 7.36/5.62 (v201(constB95) <=> (~((~v157(constB95)) | (~v202(constB95))))),
% 7.36/5.62 inference(unit_resolution,[status(thm)],[28922, 47])).
% 7.36/5.62 tff(28924,plain,
% 7.36/5.62 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB95) <=> v192(constB95))),
% 7.36/5.62 inference(quant_inst,[status(thm)],[])).
% 7.36/5.62 tff(28925,plain,
% 7.36/5.62 (v157(constB95) <=> v192(constB95)),
% 7.36/5.62 inference(unit_resolution,[status(thm)],[28924, 15407])).
% 7.36/5.62 tff(28926,plain,
% 7.36/5.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB94, constB95)) | (v192(constB95) <=> v190(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB94, constB95)) | (v192(constB95) <=> v190(constB94)))),
% 7.36/5.62 inference(rewrite,[status(thm)],[])).
% 7.36/5.62 tff(28927,plain,
% 7.36/5.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB94, constB95)) | (v192(constB95) <=> v190(constB94)))),
% 7.36/5.62 inference(quant_inst,[status(thm)],[])).
% 7.36/5.62 tff(28928,plain,
% 7.36/5.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB94, constB95)) | (v192(constB95) <=> v190(constB94))),
% 7.36/5.62 inference(modus_ponens,[status(thm)],[28927, 28926])).
% 7.36/5.62 tff(28929,plain,
% 7.36/5.62 (v192(constB95) <=> v190(constB94)),
% 7.36/5.62 inference(unit_resolution,[status(thm)],[28928, 1495, 15419])).
% 7.36/5.62 tff(28930,plain,
% 7.36/5.62 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB94) <=> (v193(constB94) | v196(constB94)))),
% 7.36/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(28931,plain,
% 7.43/5.62 (v190(constB94) <=> (v193(constB94) | v196(constB94))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28930, 15430])).
% 7.43/5.62 tff(28932,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB94) <=> (~((~v157(constB94)) | (~v194(constB94)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB94) <=> (~((~v157(constB94)) | (~v194(constB94))))))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(28933,plain,
% 7.43/5.62 ((v193(constB94) <=> (~((~v194(constB94)) | (~v157(constB94))))) <=> (v193(constB94) <=> (~((~v157(constB94)) | (~v194(constB94)))))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(28934,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB94) <=> (~((~v194(constB94)) | (~v157(constB94)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB94) <=> (~((~v157(constB94)) | (~v194(constB94))))))),
% 7.43/5.62 inference(monotonicity,[status(thm)],[28933])).
% 7.43/5.62 tff(28935,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB94) <=> (~((~v194(constB94)) | (~v157(constB94)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB94) <=> (~((~v157(constB94)) | (~v194(constB94))))))),
% 7.43/5.62 inference(transitivity,[status(thm)],[28934, 28932])).
% 7.43/5.62 tff(28936,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB94) <=> (~((~v194(constB94)) | (~v157(constB94)))))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(28937,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB94) <=> (~((~v157(constB94)) | (~v194(constB94)))))),
% 7.43/5.62 inference(modus_ponens,[status(thm)],[28936, 28935])).
% 7.43/5.62 tff(28938,plain,
% 7.43/5.62 (v193(constB94) <=> (~((~v157(constB94)) | (~v194(constB94))))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28937, 15442])).
% 7.43/5.62 tff(28939,plain,
% 7.43/5.62 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB94) <=> v192(constB94))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(28940,plain,
% 7.43/5.62 (v157(constB94) <=> v192(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28939, 15407])).
% 7.43/5.62 tff(28941,plain,
% 7.43/5.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB93, constB94)) | (v192(constB94) <=> v190(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB93, constB94)) | (v192(constB94) <=> v190(constB93)))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(28942,plain,
% 7.43/5.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB93, constB94)) | (v192(constB94) <=> v190(constB93)))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(28943,plain,
% 7.43/5.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB93, constB94)) | (v192(constB94) <=> v190(constB93))),
% 7.43/5.62 inference(modus_ponens,[status(thm)],[28942, 28941])).
% 7.43/5.62 tff(28944,plain,
% 7.43/5.62 (v192(constB94) <=> v190(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28943, 1531, 15419])).
% 7.43/5.62 tff(28945,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB93) <=> (v193(constB93) | v196(constB93)))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(28946,plain,
% 7.43/5.62 (v190(constB93) <=> (v193(constB93) | v196(constB93))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28945, 15430])).
% 7.43/5.62 tff(28947,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB93) <=> (~((~v159(constB93)) | (~v194(constB93)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB93) <=> (~((~v159(constB93)) | (~v194(constB93))))))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(28948,plain,
% 7.43/5.62 ((v196(constB93) <=> (~((~v194(constB93)) | (~v159(constB93))))) <=> (v196(constB93) <=> (~((~v159(constB93)) | (~v194(constB93)))))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(28949,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB93) <=> (~((~v194(constB93)) | (~v159(constB93)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB93) <=> (~((~v159(constB93)) | (~v194(constB93))))))),
% 7.43/5.62 inference(monotonicity,[status(thm)],[28948])).
% 7.43/5.62 tff(28950,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB93) <=> (~((~v194(constB93)) | (~v159(constB93)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB93) <=> (~((~v159(constB93)) | (~v194(constB93))))))),
% 7.43/5.62 inference(transitivity,[status(thm)],[28949, 28947])).
% 7.43/5.62 tff(28951,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB93) <=> (~((~v194(constB93)) | (~v159(constB93)))))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(28952,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB93) <=> (~((~v159(constB93)) | (~v194(constB93)))))),
% 7.43/5.62 inference(modus_ponens,[status(thm)],[28951, 28950])).
% 7.43/5.62 tff(28953,plain,
% 7.43/5.62 (v196(constB93) <=> (~((~v159(constB93)) | (~v194(constB93))))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28952, 15467])).
% 7.43/5.62 tff(28954,plain,
% 7.43/5.62 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB93) <=> v182(constB93))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(28955,plain,
% 7.43/5.62 (v159(constB93) <=> v182(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28954, 15113])).
% 7.43/5.62 tff(28956,plain,
% 7.43/5.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB92, constB93)) | (v182(constB93) <=> v180(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB92, constB93)) | (v182(constB93) <=> v180(constB92)))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(28957,plain,
% 7.43/5.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB92, constB93)) | (v182(constB93) <=> v180(constB92)))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(28958,plain,
% 7.43/5.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB92, constB93)) | (v182(constB93) <=> v180(constB92))),
% 7.43/5.62 inference(modus_ponens,[status(thm)],[28957, 28956])).
% 7.43/5.62 tff(28959,plain,
% 7.43/5.62 (v182(constB93) <=> v180(constB92)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28958, 1561, 15125])).
% 7.43/5.62 tff(28960,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB92) <=> (~((~v183(constB92)) | (~v184(constB92)))))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(28961,plain,
% 7.43/5.62 (v180(constB92) <=> (~((~v183(constB92)) | (~v184(constB92))))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28960, 15139])).
% 7.43/5.62 tff(28962,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB92) <=> (~((~v185(constB92)) | (~v161(constB92)))))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(28963,plain,
% 7.43/5.62 (v184(constB92) <=> (~((~v185(constB92)) | (~v161(constB92))))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28962, 15151])).
% 7.43/5.62 tff(28964,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(28965,plain,
% 7.43/5.62 (v185(constB92) <=> (~((~v39(constB92)) | (~v9(constB92))))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28964, 93])).
% 7.43/5.62 tff(28966,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB92)) <=> v1(constB92))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(28967,plain,
% 7.43/5.62 ((~v39(constB92)) <=> v1(constB92)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28966, 102])).
% 7.43/5.62 tff(28968,plain,
% 7.43/5.62 ((~((~v39(constB92)) <=> v1(constB92))) | (~v39(constB92)) | (~v1(constB92))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(28969,plain,
% 7.43/5.62 ((~((~v39(constB92)) <=> v1(constB92))) | (~v39(constB92))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28968, 12025])).
% 7.43/5.62 tff(28970,plain,
% 7.43/5.62 (~v39(constB92)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28969, 28967])).
% 7.43/5.62 tff(28971,plain,
% 7.43/5.62 (((~v39(constB92)) | (~v9(constB92))) | v39(constB92)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(28972,plain,
% 7.43/5.62 ((~v39(constB92)) | (~v9(constB92))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28971, 28970])).
% 7.43/5.62 tff(28973,plain,
% 7.43/5.62 ((~(v185(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))) | (~v185(constB92)) | (~((~v39(constB92)) | (~v9(constB92))))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(28974,plain,
% 7.43/5.62 ((~(v185(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))) | (~v185(constB92))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28973, 28972])).
% 7.43/5.62 tff(28975,plain,
% 7.43/5.62 (~v185(constB92)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28974, 28965])).
% 7.43/5.62 tff(28976,plain,
% 7.43/5.62 (((~v185(constB92)) | (~v161(constB92))) | v185(constB92)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(28977,plain,
% 7.43/5.62 ((~v185(constB92)) | (~v161(constB92))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28976, 28975])).
% 7.43/5.62 tff(28978,plain,
% 7.43/5.62 ((~(v184(constB92) <=> (~((~v185(constB92)) | (~v161(constB92)))))) | (~v184(constB92)) | (~((~v185(constB92)) | (~v161(constB92))))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(28979,plain,
% 7.43/5.62 ((~(v184(constB92) <=> (~((~v185(constB92)) | (~v161(constB92)))))) | (~v184(constB92))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28978, 28977])).
% 7.43/5.62 tff(28980,plain,
% 7.43/5.62 (~v184(constB92)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28979, 28963])).
% 7.43/5.62 tff(28981,plain,
% 7.43/5.62 (((~v183(constB92)) | (~v184(constB92))) | v184(constB92)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(28982,plain,
% 7.43/5.62 ((~v183(constB92)) | (~v184(constB92))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28981, 28980])).
% 7.43/5.62 tff(28983,plain,
% 7.43/5.62 ((~(v180(constB92) <=> (~((~v183(constB92)) | (~v184(constB92)))))) | (~v180(constB92)) | (~((~v183(constB92)) | (~v184(constB92))))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(28984,plain,
% 7.43/5.62 (~v180(constB92)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28983, 28982, 28961])).
% 7.43/5.62 tff(28985,plain,
% 7.43/5.62 ((~(v182(constB93) <=> v180(constB92))) | (~v182(constB93)) | v180(constB92)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(28986,plain,
% 7.43/5.62 (~v182(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28985, 28984, 28959])).
% 7.43/5.62 tff(28987,plain,
% 7.43/5.62 ((~(v159(constB93) <=> v182(constB93))) | (~v159(constB93)) | v182(constB93)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(28988,plain,
% 7.43/5.62 (~v159(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28987, 28986, 28955])).
% 7.43/5.62 tff(28989,plain,
% 7.43/5.62 (((~v159(constB93)) | (~v194(constB93))) | v159(constB93)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(28990,plain,
% 7.43/5.62 ((~v159(constB93)) | (~v194(constB93))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28989, 28988])).
% 7.43/5.62 tff(28991,plain,
% 7.43/5.62 ((~(v196(constB93) <=> (~((~v159(constB93)) | (~v194(constB93)))))) | (~v196(constB93)) | (~((~v159(constB93)) | (~v194(constB93))))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(28992,plain,
% 7.43/5.62 (~v196(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28991, 28990, 28953])).
% 7.43/5.62 tff(28993,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB93) <=> (~((~v157(constB93)) | (~v194(constB93)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB93) <=> (~((~v157(constB93)) | (~v194(constB93))))))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(28994,plain,
% 7.43/5.62 ((v193(constB93) <=> (~((~v194(constB93)) | (~v157(constB93))))) <=> (v193(constB93) <=> (~((~v157(constB93)) | (~v194(constB93)))))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(28995,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB93) <=> (~((~v194(constB93)) | (~v157(constB93)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB93) <=> (~((~v157(constB93)) | (~v194(constB93))))))),
% 7.43/5.62 inference(monotonicity,[status(thm)],[28994])).
% 7.43/5.62 tff(28996,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB93) <=> (~((~v194(constB93)) | (~v157(constB93)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB93) <=> (~((~v157(constB93)) | (~v194(constB93))))))),
% 7.43/5.62 inference(transitivity,[status(thm)],[28995, 28993])).
% 7.43/5.62 tff(28997,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB93) <=> (~((~v194(constB93)) | (~v157(constB93)))))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(28998,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB93) <=> (~((~v157(constB93)) | (~v194(constB93)))))),
% 7.43/5.62 inference(modus_ponens,[status(thm)],[28997, 28996])).
% 7.43/5.62 tff(28999,plain,
% 7.43/5.62 (v193(constB93) <=> (~((~v157(constB93)) | (~v194(constB93))))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[28998, 15442])).
% 7.43/5.62 tff(29000,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB93)) <=> v195(constB93))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29001,plain,
% 7.43/5.62 ((~v194(constB93)) <=> v195(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29000, 15527])).
% 7.43/5.62 tff(29002,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB93) <=> (v185(constB93) | v26(constB93)))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29003,plain,
% 7.43/5.62 (v195(constB93) <=> (v185(constB93) | v26(constB93))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29002, 15536])).
% 7.43/5.62 tff(29004,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB93) <=> (~((~v39(constB93)) | (~v9(constB93)))))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29005,plain,
% 7.43/5.62 (v185(constB93) <=> (~((~v39(constB93)) | (~v9(constB93))))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29004, 93])).
% 7.43/5.62 tff(29006,plain,
% 7.43/5.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93)))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(29007,plain,
% 7.43/5.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93)))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29008,plain,
% 7.43/5.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93))),
% 7.43/5.62 inference(modus_ponens,[status(thm)],[29007, 29006])).
% 7.43/5.62 tff(29009,plain,
% 7.43/5.62 (v13(constB94) <=> v9(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29008, 1531, 15550])).
% 7.43/5.62 tff(29010,plain,
% 7.43/5.62 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB94) <=> v13(constB94))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29011,plain,
% 7.43/5.62 (v6(constB94) <=> v13(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29010, 15564])).
% 7.43/5.62 tff(29012,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB94)) <=> v6(constB94))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29013,plain,
% 7.43/5.62 ((~v21(constB94)) <=> v6(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29012, 15573])).
% 7.43/5.62 tff(29014,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB94) <=> (v20(constB94) | v21(constB94)))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29015,plain,
% 7.43/5.62 (v19(constB94) <=> (v20(constB94) | v21(constB94))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29014, 15582])).
% 7.43/5.62 tff(29016,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94)))))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29017,plain,
% 7.43/5.62 (v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94))))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29016, 15594])).
% 7.43/5.62 tff(29018,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB94)) <=> v18(constB94))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29019,plain,
% 7.43/5.62 ((~v4(constB94)) <=> v18(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29018, 15603])).
% 7.43/5.62 tff(29020,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB94)),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29021,plain,
% 7.43/5.62 (v4(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29020, 15612])).
% 7.43/5.62 tff(29022,plain,
% 7.43/5.62 ((~((~v4(constB94)) <=> v18(constB94))) | (~v4(constB94)) | (~v18(constB94))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29023,plain,
% 7.43/5.62 (~v18(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29022, 29021, 29019])).
% 7.43/5.62 tff(29024,plain,
% 7.43/5.62 ((~(v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94)))))) | v18(constB94) | ((~v19(constB94)) | (~v22(constB94)))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29025,plain,
% 7.43/5.62 ((~v19(constB94)) | (~v22(constB94))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29024, 29023, 29017])).
% 7.43/5.62 tff(29026,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB94) <=> (v1(constB94) | v6(constB94)))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29027,plain,
% 7.43/5.62 (v22(constB94) <=> (v1(constB94) | v6(constB94))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29026, 15625])).
% 7.43/5.62 tff(29028,plain,
% 7.43/5.62 ((v1(constB94) | v6(constB94)) | (~v1(constB94))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29029,plain,
% 7.43/5.62 (v1(constB94) | v6(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29028, 12171])).
% 7.43/5.62 tff(29030,plain,
% 7.43/5.62 ((~(v22(constB94) <=> (v1(constB94) | v6(constB94)))) | v22(constB94) | (~(v1(constB94) | v6(constB94)))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29031,plain,
% 7.43/5.62 ((~(v22(constB94) <=> (v1(constB94) | v6(constB94)))) | v22(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29030, 29029])).
% 7.43/5.62 tff(29032,plain,
% 7.43/5.62 (v22(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29031, 29027])).
% 7.43/5.62 tff(29033,plain,
% 7.43/5.62 ((~((~v19(constB94)) | (~v22(constB94)))) | (~v19(constB94)) | (~v22(constB94))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29034,plain,
% 7.43/5.62 ((~((~v19(constB94)) | (~v22(constB94)))) | (~v19(constB94))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29033, 29032])).
% 7.43/5.62 tff(29035,plain,
% 7.43/5.62 (~v19(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29034, 29025])).
% 7.43/5.62 tff(29036,plain,
% 7.43/5.62 ((~(v19(constB94) <=> (v20(constB94) | v21(constB94)))) | v19(constB94) | (~(v20(constB94) | v21(constB94)))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29037,plain,
% 7.43/5.62 (~(v20(constB94) | v21(constB94))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29036, 29035, 29015])).
% 7.43/5.62 tff(29038,plain,
% 7.43/5.62 ((v20(constB94) | v21(constB94)) | (~v21(constB94))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29039,plain,
% 7.43/5.62 (~v21(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29038, 29037])).
% 7.43/5.62 tff(29040,plain,
% 7.43/5.62 ((~((~v21(constB94)) <=> v6(constB94))) | v21(constB94) | v6(constB94)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29041,plain,
% 7.43/5.62 (v6(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29040, 29039, 29013])).
% 7.43/5.62 tff(29042,plain,
% 7.43/5.62 ((~(v6(constB94) <=> v13(constB94))) | (~v6(constB94)) | v13(constB94)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29043,plain,
% 7.43/5.62 (v13(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29042, 29041, 29011])).
% 7.43/5.62 tff(29044,plain,
% 7.43/5.62 ((~(v13(constB94) <=> v9(constB93))) | (~v13(constB94)) | v9(constB93)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29045,plain,
% 7.43/5.62 (v9(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29044, 29043, 29009])).
% 7.43/5.62 tff(29046,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB93)) <=> v1(constB93))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29047,plain,
% 7.43/5.62 ((~v39(constB93)) <=> v1(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29046, 102])).
% 7.43/5.62 tff(29048,plain,
% 7.43/5.62 ((~((~v39(constB93)) <=> v1(constB93))) | v39(constB93) | v1(constB93)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29049,plain,
% 7.43/5.62 ((~((~v39(constB93)) <=> v1(constB93))) | v39(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29048, 1575])).
% 7.43/5.62 tff(29050,plain,
% 7.43/5.62 (v39(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29049, 29047])).
% 7.43/5.62 tff(29051,plain,
% 7.43/5.62 ((~((~v39(constB93)) | (~v9(constB93)))) | (~v39(constB93)) | (~v9(constB93))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29052,plain,
% 7.43/5.62 ((~((~v39(constB93)) | (~v9(constB93)))) | (~v9(constB93))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29051, 29050])).
% 7.43/5.62 tff(29053,plain,
% 7.43/5.62 (~((~v39(constB93)) | (~v9(constB93)))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29052, 29045])).
% 7.43/5.62 tff(29054,plain,
% 7.43/5.62 ((~(v185(constB93) <=> (~((~v39(constB93)) | (~v9(constB93)))))) | v185(constB93) | ((~v39(constB93)) | (~v9(constB93)))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29055,plain,
% 7.43/5.62 (v185(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29054, 29053, 29005])).
% 7.43/5.62 tff(29056,plain,
% 7.43/5.62 ((v185(constB93) | v26(constB93)) | (~v185(constB93))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29057,plain,
% 7.43/5.62 (v185(constB93) | v26(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29056, 29055])).
% 7.43/5.62 tff(29058,plain,
% 7.43/5.62 ((~(v195(constB93) <=> (v185(constB93) | v26(constB93)))) | v195(constB93) | (~(v185(constB93) | v26(constB93)))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29059,plain,
% 7.43/5.62 (v195(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29058, 29057, 29003])).
% 7.43/5.62 tff(29060,plain,
% 7.43/5.62 ((~((~v194(constB93)) <=> v195(constB93))) | (~v194(constB93)) | (~v195(constB93))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29061,plain,
% 7.43/5.62 (~v194(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29060, 29059, 29001])).
% 7.43/5.62 tff(29062,plain,
% 7.43/5.62 (((~v157(constB93)) | (~v194(constB93))) | v194(constB93)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29063,plain,
% 7.43/5.62 ((~v157(constB93)) | (~v194(constB93))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29062, 29061])).
% 7.43/5.62 tff(29064,plain,
% 7.43/5.62 ((~(v193(constB93) <=> (~((~v157(constB93)) | (~v194(constB93)))))) | (~v193(constB93)) | (~((~v157(constB93)) | (~v194(constB93))))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29065,plain,
% 7.43/5.62 (~v193(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29064, 29063, 28999])).
% 7.43/5.62 tff(29066,plain,
% 7.43/5.62 ((~(v193(constB93) | v196(constB93))) | v193(constB93) | v196(constB93)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29067,plain,
% 7.43/5.62 (~(v193(constB93) | v196(constB93))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29066, 29065, 28992])).
% 7.43/5.62 tff(29068,plain,
% 7.43/5.62 ((~(v190(constB93) <=> (v193(constB93) | v196(constB93)))) | (~v190(constB93)) | (v193(constB93) | v196(constB93))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29069,plain,
% 7.43/5.62 (~v190(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29068, 29067, 28946])).
% 7.43/5.62 tff(29070,plain,
% 7.43/5.62 ((~(v192(constB94) <=> v190(constB93))) | (~v192(constB94)) | v190(constB93)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29071,plain,
% 7.43/5.62 (~v192(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29070, 29069, 28944])).
% 7.43/5.62 tff(29072,plain,
% 7.43/5.62 ((~(v157(constB94) <=> v192(constB94))) | (~v157(constB94)) | v192(constB94)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29073,plain,
% 7.43/5.62 (~v157(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29072, 29071, 28940])).
% 7.43/5.62 tff(29074,plain,
% 7.43/5.62 (((~v157(constB94)) | (~v194(constB94))) | v157(constB94)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29075,plain,
% 7.43/5.62 ((~v157(constB94)) | (~v194(constB94))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29074, 29073])).
% 7.43/5.62 tff(29076,plain,
% 7.43/5.62 ((~(v193(constB94) <=> (~((~v157(constB94)) | (~v194(constB94)))))) | (~v193(constB94)) | (~((~v157(constB94)) | (~v194(constB94))))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29077,plain,
% 7.43/5.62 (~v193(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29076, 29075, 28938])).
% 7.43/5.62 tff(29078,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB94) <=> (~((~v159(constB94)) | (~v194(constB94)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB94) <=> (~((~v159(constB94)) | (~v194(constB94))))))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(29079,plain,
% 7.43/5.62 ((v196(constB94) <=> (~((~v194(constB94)) | (~v159(constB94))))) <=> (v196(constB94) <=> (~((~v159(constB94)) | (~v194(constB94)))))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(29080,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB94) <=> (~((~v194(constB94)) | (~v159(constB94)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB94) <=> (~((~v159(constB94)) | (~v194(constB94))))))),
% 7.43/5.62 inference(monotonicity,[status(thm)],[29079])).
% 7.43/5.62 tff(29081,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB94) <=> (~((~v194(constB94)) | (~v159(constB94)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB94) <=> (~((~v159(constB94)) | (~v194(constB94))))))),
% 7.43/5.62 inference(transitivity,[status(thm)],[29080, 29078])).
% 7.43/5.62 tff(29082,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB94) <=> (~((~v194(constB94)) | (~v159(constB94)))))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29083,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB94) <=> (~((~v159(constB94)) | (~v194(constB94)))))),
% 7.43/5.62 inference(modus_ponens,[status(thm)],[29082, 29081])).
% 7.43/5.62 tff(29084,plain,
% 7.43/5.62 (v196(constB94) <=> (~((~v159(constB94)) | (~v194(constB94))))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29083, 15467])).
% 7.43/5.62 tff(29085,plain,
% 7.43/5.62 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB94) <=> v182(constB94))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29086,plain,
% 7.43/5.62 (v159(constB94) <=> v182(constB94)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29085, 15113])).
% 7.43/5.62 tff(29087,plain,
% 7.43/5.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB93, constB94)) | (v182(constB94) <=> v180(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB93, constB94)) | (v182(constB94) <=> v180(constB93)))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(29088,plain,
% 7.43/5.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB93, constB94)) | (v182(constB94) <=> v180(constB93)))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29089,plain,
% 7.43/5.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB93, constB94)) | (v182(constB94) <=> v180(constB93))),
% 7.43/5.62 inference(modus_ponens,[status(thm)],[29088, 29087])).
% 7.43/5.62 tff(29090,plain,
% 7.43/5.62 (v182(constB94) <=> v180(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29089, 1531, 15125])).
% 7.43/5.62 tff(29091,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB93) <=> (~((~v183(constB93)) | (~v184(constB93)))))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29092,plain,
% 7.43/5.62 (v180(constB93) <=> (~((~v183(constB93)) | (~v184(constB93))))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29091, 15139])).
% 7.43/5.62 tff(29093,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB93) <=> (~((~v185(constB93)) | (~v161(constB93)))))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29094,plain,
% 7.43/5.62 (v184(constB93) <=> (~((~v185(constB93)) | (~v161(constB93))))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29093, 15151])).
% 7.43/5.62 tff(29095,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB93) <=> v163(constB93))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29096,plain,
% 7.43/5.62 (v161(constB93) <=> v163(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29095, 15701])).
% 7.43/5.62 tff(29097,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB93) <=> (v145(constB93) | v167(constB93)))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29098,plain,
% 7.43/5.62 (v166(constB93) <=> (v145(constB93) | v167(constB93))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29097, 15713])).
% 7.43/5.62 tff(29099,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB93) <=> (v146(constB93) | v147(constB93)))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29100,plain,
% 7.43/5.62 (v145(constB93) <=> (v146(constB93) | v147(constB93))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29099, 25196])).
% 7.43/5.62 tff(29101,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB93) <=> (~(v88(constB93, 1) | (~v88(constB93, 2)) | v88(constB93, 0))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB93) <=> (~(v88(constB93, 1) | (~v88(constB93, 2)) | v88(constB93, 0)))))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(29102,plain,
% 7.43/5.62 ((v146(constB93) <=> (~(v88(constB93, 0) | v88(constB93, 1) | (~v88(constB93, 2))))) <=> (v146(constB93) <=> (~(v88(constB93, 1) | (~v88(constB93, 2)) | v88(constB93, 0))))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(29103,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB93) <=> (~(v88(constB93, 0) | v88(constB93, 1) | (~v88(constB93, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB93) <=> (~(v88(constB93, 1) | (~v88(constB93, 2)) | v88(constB93, 0)))))),
% 7.43/5.62 inference(monotonicity,[status(thm)],[29102])).
% 7.43/5.62 tff(29104,plain,
% 7.43/5.62 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB93) <=> (~(v88(constB93, 0) | v88(constB93, 1) | (~v88(constB93, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB93) <=> (~(v88(constB93, 1) | (~v88(constB93, 2)) | v88(constB93, 0)))))),
% 7.43/5.62 inference(transitivity,[status(thm)],[29103, 29101])).
% 7.43/5.62 tff(29105,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB93) <=> (~(v88(constB93, 0) | v88(constB93, 1) | (~v88(constB93, 2)))))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29106,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB93) <=> (~(v88(constB93, 1) | (~v88(constB93, 2)) | v88(constB93, 0))))),
% 7.43/5.62 inference(modus_ponens,[status(thm)],[29105, 29104])).
% 7.43/5.62 tff(29107,plain,
% 7.43/5.62 (v146(constB93) <=> (~(v88(constB93, 1) | (~v88(constB93, 2)) | v88(constB93, 0)))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29106, 25211])).
% 7.43/5.62 tff(29108,plain,
% 7.43/5.62 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB93, 1)) <=> v90(constB93, 1)) | ((~v88(constB93, 2)) <=> v90(constB93, 2)) | ((~v88(constB93, 0)) <=> v90(constB93, 0))))),
% 7.43/5.62 inference(quant_inst,[status(thm)],[])).
% 7.43/5.62 tff(29109,plain,
% 7.43/5.62 (~(((~v88(constB93, 1)) <=> v90(constB93, 1)) | ((~v88(constB93, 2)) <=> v90(constB93, 2)) | ((~v88(constB93, 0)) <=> v90(constB93, 0)))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29108, 256])).
% 7.43/5.62 tff(29110,plain,
% 7.43/5.62 ((((~v88(constB93, 1)) <=> v90(constB93, 1)) | ((~v88(constB93, 2)) <=> v90(constB93, 2)) | ((~v88(constB93, 0)) <=> v90(constB93, 0))) | (~((~v88(constB93, 2)) <=> v90(constB93, 2)))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29111,plain,
% 7.43/5.62 (~((~v88(constB93, 2)) <=> v90(constB93, 2))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29110, 29109])).
% 7.43/5.62 tff(29112,plain,
% 7.43/5.62 (((~v88(constB93, 2)) <=> v90(constB93, 2)) | v88(constB93, 2) | (~v90(constB93, 2))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29113,plain,
% 7.43/5.62 (v88(constB93, 2)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29112, 12093, 29111])).
% 7.43/5.62 tff(29114,plain,
% 7.43/5.62 ((((~v88(constB93, 1)) <=> v90(constB93, 1)) | ((~v88(constB93, 2)) <=> v90(constB93, 2)) | ((~v88(constB93, 0)) <=> v90(constB93, 0))) | (~((~v88(constB93, 0)) <=> v90(constB93, 0)))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29115,plain,
% 7.43/5.62 (~((~v88(constB93, 0)) <=> v90(constB93, 0))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29114, 29109])).
% 7.43/5.62 tff(29116,plain,
% 7.43/5.62 (((~v88(constB93, 0)) <=> v90(constB93, 0)) | (~v88(constB93, 0)) | v90(constB93, 0)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29117,plain,
% 7.43/5.62 (~v88(constB93, 0)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29116, 12111, 29115])).
% 7.43/5.62 tff(29118,plain,
% 7.43/5.62 ((((~v88(constB93, 1)) <=> v90(constB93, 1)) | ((~v88(constB93, 2)) <=> v90(constB93, 2)) | ((~v88(constB93, 0)) <=> v90(constB93, 0))) | (~((~v88(constB93, 1)) <=> v90(constB93, 1)))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29119,plain,
% 7.43/5.62 (~((~v88(constB93, 1)) <=> v90(constB93, 1))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29118, 29109])).
% 7.43/5.62 tff(29120,plain,
% 7.43/5.62 (((~v88(constB93, 1)) <=> v90(constB93, 1)) | (~v88(constB93, 1)) | v90(constB93, 1)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29121,plain,
% 7.43/5.62 (~v88(constB93, 1)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29120, 12129, 29119])).
% 7.43/5.62 tff(29122,plain,
% 7.43/5.62 ((~(v88(constB93, 1) | (~v88(constB93, 2)) | v88(constB93, 0))) | v88(constB93, 1) | (~v88(constB93, 2)) | v88(constB93, 0)),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29123,plain,
% 7.43/5.62 (~(v88(constB93, 1) | (~v88(constB93, 2)) | v88(constB93, 0))),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29122, 29121, 29117, 29113])).
% 7.43/5.62 tff(29124,plain,
% 7.43/5.62 ((~(v146(constB93) <=> (~(v88(constB93, 1) | (~v88(constB93, 2)) | v88(constB93, 0))))) | v146(constB93) | (v88(constB93, 1) | (~v88(constB93, 2)) | v88(constB93, 0))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29125,plain,
% 7.43/5.62 (v146(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29124, 29123, 29107])).
% 7.43/5.62 tff(29126,plain,
% 7.43/5.62 ((v146(constB93) | v147(constB93)) | (~v146(constB93))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29127,plain,
% 7.43/5.62 (v146(constB93) | v147(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29126, 29125])).
% 7.43/5.62 tff(29128,plain,
% 7.43/5.62 ((~(v145(constB93) <=> (v146(constB93) | v147(constB93)))) | v145(constB93) | (~(v146(constB93) | v147(constB93)))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29129,plain,
% 7.43/5.62 (v145(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29128, 29127, 29100])).
% 7.43/5.62 tff(29130,plain,
% 7.43/5.62 ((v145(constB93) | v167(constB93)) | (~v145(constB93))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29131,plain,
% 7.43/5.62 (v145(constB93) | v167(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29130, 29129])).
% 7.43/5.62 tff(29132,plain,
% 7.43/5.62 ((~(v166(constB93) <=> (v145(constB93) | v167(constB93)))) | v166(constB93) | (~(v145(constB93) | v167(constB93)))),
% 7.43/5.62 inference(tautology,[status(thm)],[])).
% 7.43/5.62 tff(29133,plain,
% 7.43/5.62 ((~(v166(constB93) <=> (v145(constB93) | v167(constB93)))) | v166(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29132, 29131])).
% 7.43/5.62 tff(29134,plain,
% 7.43/5.62 (v166(constB93)),
% 7.43/5.62 inference(unit_resolution,[status(thm)],[29133, 29098])).
% 7.43/5.62 tff(29135,plain,
% 7.43/5.62 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB93)) | (v163(constB93) <=> v170(constB93)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB93)) | (v163(constB93) <=> v170(constB93)))),
% 7.43/5.62 inference(rewrite,[status(thm)],[])).
% 7.43/5.62 tff(29136,plain,
% 7.43/5.62 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB93)) | (v163(constB93) <=> v170(constB93)))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29137,plain,
% 7.43/5.63 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB93)) | (v163(constB93) <=> v170(constB93))),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[29136, 29135])).
% 7.43/5.63 tff(29138,plain,
% 7.43/5.63 ((~v166(constB93)) | (v163(constB93) <=> v170(constB93))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29137, 15777])).
% 7.43/5.63 tff(29139,plain,
% 7.43/5.63 (v163(constB93) <=> v170(constB93)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29138, 29134])).
% 7.43/5.63 tff(29140,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB93) <=> (~(v88(constB93, 0) | v88(constB93, 1) | v88(constB93, 2))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29141,plain,
% 7.43/5.63 (v139(constB93) <=> (~(v88(constB93, 0) | v88(constB93, 1) | v88(constB93, 2)))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29140, 15795])).
% 7.43/5.63 tff(29142,plain,
% 7.43/5.63 ((v88(constB93, 0) | v88(constB93, 1) | v88(constB93, 2)) | (~v88(constB93, 2))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29143,plain,
% 7.43/5.63 (v88(constB93, 0) | v88(constB93, 1) | v88(constB93, 2)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29142, 29113])).
% 7.43/5.63 tff(29144,plain,
% 7.43/5.63 ((~(v139(constB93) <=> (~(v88(constB93, 0) | v88(constB93, 1) | v88(constB93, 2))))) | (~v139(constB93)) | (~(v88(constB93, 0) | v88(constB93, 1) | v88(constB93, 2)))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29145,plain,
% 7.43/5.63 (~v139(constB93)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29144, 29143, 29141])).
% 7.43/5.63 tff(29146,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB93) <=> (~(v88(constB93, 1) | v88(constB93, 2) | (~v88(constB93, 0)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29147,plain,
% 7.43/5.63 (v140(constB93) <=> (~(v88(constB93, 1) | v88(constB93, 2) | (~v88(constB93, 0))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29146, 15814])).
% 7.43/5.63 tff(29148,plain,
% 7.43/5.63 ((v88(constB93, 1) | v88(constB93, 2) | (~v88(constB93, 0))) | (~v88(constB93, 2))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29149,plain,
% 7.43/5.63 (v88(constB93, 1) | v88(constB93, 2) | (~v88(constB93, 0))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29148, 29113])).
% 7.43/5.63 tff(29150,plain,
% 7.43/5.63 ((~(v140(constB93) <=> (~(v88(constB93, 1) | v88(constB93, 2) | (~v88(constB93, 0)))))) | (~v140(constB93)) | (~(v88(constB93, 1) | v88(constB93, 2) | (~v88(constB93, 0))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29151,plain,
% 7.43/5.63 (~v140(constB93)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29150, 29149, 29147])).
% 7.43/5.63 tff(29152,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB93) | v139(constB93) | (~v170(constB93)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB93) | v139(constB93) | (~v170(constB93)))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29153,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB93) | v139(constB93) | (~v170(constB93)))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29154,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB93) | v139(constB93) | (~v170(constB93))),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[29153, 29152])).
% 7.43/5.63 tff(29155,plain,
% 7.43/5.63 (v140(constB93) | v139(constB93) | (~v170(constB93))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29154, 15833])).
% 7.43/5.63 tff(29156,plain,
% 7.43/5.63 (~v170(constB93)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29155, 29151, 29145])).
% 7.43/5.63 tff(29157,plain,
% 7.43/5.63 ((~(v163(constB93) <=> v170(constB93))) | (~v163(constB93)) | v170(constB93)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29158,plain,
% 7.43/5.63 ((~(v163(constB93) <=> v170(constB93))) | (~v163(constB93))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29157, 29156])).
% 7.43/5.63 tff(29159,plain,
% 7.43/5.63 (~v163(constB93)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29158, 29139])).
% 7.43/5.63 tff(29160,plain,
% 7.43/5.63 ((~(v161(constB93) <=> v163(constB93))) | (~v161(constB93)) | v163(constB93)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29161,plain,
% 7.43/5.63 ((~(v161(constB93) <=> v163(constB93))) | (~v161(constB93))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29160, 29159])).
% 7.43/5.63 tff(29162,plain,
% 7.43/5.63 (~v161(constB93)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29161, 29096])).
% 7.43/5.63 tff(29163,plain,
% 7.43/5.63 (((~v185(constB93)) | (~v161(constB93))) | v161(constB93)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29164,plain,
% 7.43/5.63 ((~v185(constB93)) | (~v161(constB93))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29163, 29162])).
% 7.43/5.63 tff(29165,plain,
% 7.43/5.63 ((~(v184(constB93) <=> (~((~v185(constB93)) | (~v161(constB93)))))) | (~v184(constB93)) | (~((~v185(constB93)) | (~v161(constB93))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29166,plain,
% 7.43/5.63 (~v184(constB93)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29165, 29164, 29094])).
% 7.43/5.63 tff(29167,plain,
% 7.43/5.63 (((~v183(constB93)) | (~v184(constB93))) | v184(constB93)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29168,plain,
% 7.43/5.63 ((~v183(constB93)) | (~v184(constB93))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29167, 29166])).
% 7.43/5.63 tff(29169,plain,
% 7.43/5.63 ((~(v180(constB93) <=> (~((~v183(constB93)) | (~v184(constB93)))))) | (~v180(constB93)) | (~((~v183(constB93)) | (~v184(constB93))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29170,plain,
% 7.43/5.63 (~v180(constB93)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29169, 29168, 29092])).
% 7.43/5.63 tff(29171,plain,
% 7.43/5.63 ((~(v182(constB94) <=> v180(constB93))) | (~v182(constB94)) | v180(constB93)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29172,plain,
% 7.43/5.63 (~v182(constB94)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29171, 29170, 29090])).
% 7.43/5.63 tff(29173,plain,
% 7.43/5.63 ((~(v159(constB94) <=> v182(constB94))) | (~v159(constB94)) | v182(constB94)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29174,plain,
% 7.43/5.63 (~v159(constB94)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29173, 29172, 29086])).
% 7.43/5.63 tff(29175,plain,
% 7.43/5.63 (((~v159(constB94)) | (~v194(constB94))) | v159(constB94)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29176,plain,
% 7.43/5.63 ((~v159(constB94)) | (~v194(constB94))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29175, 29174])).
% 7.43/5.63 tff(29177,plain,
% 7.43/5.63 ((~(v196(constB94) <=> (~((~v159(constB94)) | (~v194(constB94)))))) | (~v196(constB94)) | (~((~v159(constB94)) | (~v194(constB94))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29178,plain,
% 7.43/5.63 (~v196(constB94)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29177, 29176, 29084])).
% 7.43/5.63 tff(29179,plain,
% 7.43/5.63 ((~(v193(constB94) | v196(constB94))) | v193(constB94) | v196(constB94)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29180,plain,
% 7.43/5.63 (~(v193(constB94) | v196(constB94))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29179, 29178, 29077])).
% 7.43/5.63 tff(29181,plain,
% 7.43/5.63 ((~(v190(constB94) <=> (v193(constB94) | v196(constB94)))) | (~v190(constB94)) | (v193(constB94) | v196(constB94))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29182,plain,
% 7.43/5.63 (~v190(constB94)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29181, 29180, 28931])).
% 7.43/5.63 tff(29183,plain,
% 7.43/5.63 ((~(v192(constB95) <=> v190(constB94))) | (~v192(constB95)) | v190(constB94)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29184,plain,
% 7.43/5.63 (~v192(constB95)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29183, 29182, 28929])).
% 7.43/5.63 tff(29185,plain,
% 7.43/5.63 ((~(v157(constB95) <=> v192(constB95))) | (~v157(constB95)) | v192(constB95)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29186,plain,
% 7.43/5.63 (~v157(constB95)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29185, 29184, 28925])).
% 7.43/5.63 tff(29187,plain,
% 7.43/5.63 (((~v157(constB95)) | (~v202(constB95))) | v157(constB95)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29188,plain,
% 7.43/5.63 ((~v157(constB95)) | (~v202(constB95))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29187, 29186])).
% 7.43/5.63 tff(29189,plain,
% 7.43/5.63 ((~(v201(constB95) <=> (~((~v157(constB95)) | (~v202(constB95)))))) | (~v201(constB95)) | (~((~v157(constB95)) | (~v202(constB95))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29190,plain,
% 7.43/5.63 (~v201(constB95)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29189, 29188, 28923])).
% 7.43/5.63 tff(29191,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB95) <=> (~((~v159(constB95)) | (~v202(constB95)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB95) <=> (~((~v159(constB95)) | (~v202(constB95))))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29192,plain,
% 7.43/5.63 ((v205(constB95) <=> (~((~v202(constB95)) | (~v159(constB95))))) <=> (v205(constB95) <=> (~((~v159(constB95)) | (~v202(constB95)))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29193,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB95) <=> (~((~v202(constB95)) | (~v159(constB95)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB95) <=> (~((~v159(constB95)) | (~v202(constB95))))))),
% 7.43/5.63 inference(monotonicity,[status(thm)],[29192])).
% 7.43/5.63 tff(29194,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB95) <=> (~((~v202(constB95)) | (~v159(constB95)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB95) <=> (~((~v159(constB95)) | (~v202(constB95))))))),
% 7.43/5.63 inference(transitivity,[status(thm)],[29193, 29191])).
% 7.43/5.63 tff(29195,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB95) <=> (~((~v202(constB95)) | (~v159(constB95)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29196,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB95) <=> (~((~v159(constB95)) | (~v202(constB95)))))),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[29195, 29194])).
% 7.43/5.63 tff(29197,plain,
% 7.43/5.63 (v205(constB95) <=> (~((~v159(constB95)) | (~v202(constB95))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29196, 138])).
% 7.43/5.63 tff(29198,plain,
% 7.43/5.63 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB95) <=> v182(constB95))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29199,plain,
% 7.43/5.63 (v159(constB95) <=> v182(constB95)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29198, 15113])).
% 7.43/5.63 tff(29200,plain,
% 7.43/5.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB94, constB95)) | (v182(constB95) <=> v180(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB94, constB95)) | (v182(constB95) <=> v180(constB94)))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29201,plain,
% 7.43/5.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB94, constB95)) | (v182(constB95) <=> v180(constB94)))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29202,plain,
% 7.43/5.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB94, constB95)) | (v182(constB95) <=> v180(constB94))),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[29201, 29200])).
% 7.43/5.63 tff(29203,plain,
% 7.43/5.63 (v182(constB95) <=> v180(constB94)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29202, 1495, 15125])).
% 7.43/5.63 tff(29204,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB94) <=> (~((~v183(constB94)) | (~v184(constB94)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29205,plain,
% 7.43/5.63 (v180(constB94) <=> (~((~v183(constB94)) | (~v184(constB94))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29204, 15139])).
% 7.43/5.63 tff(29206,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB94) <=> (~((~v185(constB94)) | (~v161(constB94)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29207,plain,
% 7.43/5.63 (v184(constB94) <=> (~((~v185(constB94)) | (~v161(constB94))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29206, 15151])).
% 7.43/5.63 tff(29208,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29209,plain,
% 7.43/5.63 (v185(constB94) <=> (~((~v39(constB94)) | (~v9(constB94))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29208, 93])).
% 7.43/5.63 tff(29210,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB94)) <=> v1(constB94))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29211,plain,
% 7.43/5.63 ((~v39(constB94)) <=> v1(constB94)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29210, 102])).
% 7.43/5.63 tff(29212,plain,
% 7.43/5.63 ((~((~v39(constB94)) <=> v1(constB94))) | (~v39(constB94)) | (~v1(constB94))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29213,plain,
% 7.43/5.63 ((~((~v39(constB94)) <=> v1(constB94))) | (~v39(constB94))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29212, 12171])).
% 7.43/5.63 tff(29214,plain,
% 7.43/5.63 (~v39(constB94)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29213, 29211])).
% 7.43/5.63 tff(29215,plain,
% 7.43/5.63 (((~v39(constB94)) | (~v9(constB94))) | v39(constB94)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29216,plain,
% 7.43/5.63 ((~v39(constB94)) | (~v9(constB94))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29215, 29214])).
% 7.43/5.63 tff(29217,plain,
% 7.43/5.63 ((~(v185(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))) | (~v185(constB94)) | (~((~v39(constB94)) | (~v9(constB94))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29218,plain,
% 7.43/5.63 ((~(v185(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))) | (~v185(constB94))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29217, 29216])).
% 7.43/5.63 tff(29219,plain,
% 7.43/5.63 (~v185(constB94)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29218, 29209])).
% 7.43/5.63 tff(29220,plain,
% 7.43/5.63 (((~v185(constB94)) | (~v161(constB94))) | v185(constB94)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29221,plain,
% 7.43/5.63 ((~v185(constB94)) | (~v161(constB94))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29220, 29219])).
% 7.43/5.63 tff(29222,plain,
% 7.43/5.63 ((~(v184(constB94) <=> (~((~v185(constB94)) | (~v161(constB94)))))) | (~v184(constB94)) | (~((~v185(constB94)) | (~v161(constB94))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29223,plain,
% 7.43/5.63 ((~(v184(constB94) <=> (~((~v185(constB94)) | (~v161(constB94)))))) | (~v184(constB94))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29222, 29221])).
% 7.43/5.63 tff(29224,plain,
% 7.43/5.63 (~v184(constB94)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29223, 29207])).
% 7.43/5.63 tff(29225,plain,
% 7.43/5.63 (((~v183(constB94)) | (~v184(constB94))) | v184(constB94)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29226,plain,
% 7.43/5.63 ((~v183(constB94)) | (~v184(constB94))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29225, 29224])).
% 7.43/5.63 tff(29227,plain,
% 7.43/5.63 ((~(v180(constB94) <=> (~((~v183(constB94)) | (~v184(constB94)))))) | (~v180(constB94)) | (~((~v183(constB94)) | (~v184(constB94))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29228,plain,
% 7.43/5.63 (~v180(constB94)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29227, 29226, 29205])).
% 7.43/5.63 tff(29229,plain,
% 7.43/5.63 ((~(v182(constB95) <=> v180(constB94))) | (~v182(constB95)) | v180(constB94)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29230,plain,
% 7.43/5.63 (~v182(constB95)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29229, 29228, 29203])).
% 7.43/5.63 tff(29231,plain,
% 7.43/5.63 ((~(v159(constB95) <=> v182(constB95))) | (~v159(constB95)) | v182(constB95)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29232,plain,
% 7.43/5.63 (~v159(constB95)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29231, 29230, 29199])).
% 7.43/5.63 tff(29233,plain,
% 7.43/5.63 (((~v159(constB95)) | (~v202(constB95))) | v159(constB95)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29234,plain,
% 7.43/5.63 ((~v159(constB95)) | (~v202(constB95))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29233, 29232])).
% 7.43/5.63 tff(29235,plain,
% 7.43/5.63 ((~(v205(constB95) <=> (~((~v159(constB95)) | (~v202(constB95)))))) | (~v205(constB95)) | (~((~v159(constB95)) | (~v202(constB95))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29236,plain,
% 7.43/5.63 (~v205(constB95)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29235, 29234, 29197])).
% 7.43/5.63 tff(29237,plain,
% 7.43/5.63 ((~(v201(constB95) | v205(constB95))) | v201(constB95) | v205(constB95)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29238,plain,
% 7.43/5.63 ((~(v201(constB95) | v205(constB95))) | v201(constB95)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29237, 29236])).
% 7.43/5.63 tff(29239,plain,
% 7.43/5.63 (~(v201(constB95) | v205(constB95))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29238, 29190])).
% 7.43/5.63 tff(29240,plain,
% 7.43/5.63 ((~(v200(constB95) <=> (v201(constB95) | v205(constB95)))) | (~v200(constB95)) | (v201(constB95) | v205(constB95))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29241,plain,
% 7.43/5.63 (~v200(constB95)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29240, 29239, 28916])).
% 7.43/5.63 tff(29242,plain,
% 7.43/5.63 ($false),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29241, 28914])).
% 7.43/5.63 tff(29243,plain,(~(constB95 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.43/5.63 tff(29244,assumption,(constB22 = VarCurr!0), introduced(assumption)).
% 7.43/5.63 tff(29245,plain,
% 7.43/5.63 (v200(constB22) <=> v200(VarCurr!0)),
% 7.43/5.63 inference(monotonicity,[status(thm)],[29244])).
% 7.43/5.63 tff(29246,plain,
% 7.43/5.63 (v200(VarCurr!0) <=> v200(constB22)),
% 7.43/5.63 inference(symmetry,[status(thm)],[29245])).
% 7.43/5.63 tff(29247,plain,
% 7.43/5.63 (v200(constB22)),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[27, 29246])).
% 7.43/5.63 tff(29248,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB22) <=> (v201(constB22) | v205(constB22)))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29249,plain,
% 7.43/5.63 (v200(constB22) <=> (v201(constB22) | v205(constB22))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29248, 35])).
% 7.43/5.63 tff(29250,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB22) <=> (~((~v157(constB22)) | (~v202(constB22)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB22) <=> (~((~v157(constB22)) | (~v202(constB22))))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29251,plain,
% 7.43/5.63 ((v201(constB22) <=> (~((~v202(constB22)) | (~v157(constB22))))) <=> (v201(constB22) <=> (~((~v157(constB22)) | (~v202(constB22)))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29252,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB22) <=> (~((~v202(constB22)) | (~v157(constB22)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB22) <=> (~((~v157(constB22)) | (~v202(constB22))))))),
% 7.43/5.63 inference(monotonicity,[status(thm)],[29251])).
% 7.43/5.63 tff(29253,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB22) <=> (~((~v202(constB22)) | (~v157(constB22)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB22) <=> (~((~v157(constB22)) | (~v202(constB22))))))),
% 7.43/5.63 inference(transitivity,[status(thm)],[29252, 29250])).
% 7.43/5.63 tff(29254,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB22) <=> (~((~v202(constB22)) | (~v157(constB22)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29255,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB22) <=> (~((~v157(constB22)) | (~v202(constB22)))))),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[29254, 29253])).
% 7.43/5.63 tff(29256,plain,
% 7.43/5.63 (v201(constB22) <=> (~((~v157(constB22)) | (~v202(constB22))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29255, 47])).
% 7.43/5.63 tff(29257,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB22) <=> (~((~v183(constB22)) | (~v203(constB22)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29258,plain,
% 7.43/5.63 (v202(constB22) <=> (~((~v183(constB22)) | (~v203(constB22))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29257, 64])).
% 7.43/5.63 tff(29259,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB22) <=> (~((~v185(constB22)) | (~v204(constB22)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB22) <=> (~((~v185(constB22)) | (~v204(constB22))))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29260,plain,
% 7.43/5.63 ((v203(constB22) <=> (~((~v204(constB22)) | (~v185(constB22))))) <=> (v203(constB22) <=> (~((~v185(constB22)) | (~v204(constB22)))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29261,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB22) <=> (~((~v204(constB22)) | (~v185(constB22)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB22) <=> (~((~v185(constB22)) | (~v204(constB22))))))),
% 7.43/5.63 inference(monotonicity,[status(thm)],[29260])).
% 7.43/5.63 tff(29262,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB22) <=> (~((~v204(constB22)) | (~v185(constB22)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB22) <=> (~((~v185(constB22)) | (~v204(constB22))))))),
% 7.43/5.63 inference(transitivity,[status(thm)],[29261, 29259])).
% 7.43/5.63 tff(29263,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB22) <=> (~((~v204(constB22)) | (~v185(constB22)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29264,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB22) <=> (~((~v185(constB22)) | (~v204(constB22)))))),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[29263, 29262])).
% 7.43/5.63 tff(29265,plain,
% 7.43/5.63 (v203(constB22) <=> (~((~v185(constB22)) | (~v204(constB22))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29264, 76])).
% 7.43/5.63 tff(29266,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29267,plain,
% 7.43/5.63 (v185(constB22) <=> (~((~v39(constB22)) | (~v9(constB22))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29266, 93])).
% 7.43/5.63 tff(29268,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB22)) <=> v1(constB22))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29269,plain,
% 7.43/5.63 ((~v39(constB22)) <=> v1(constB22)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29268, 102])).
% 7.43/5.63 tff(29270,plain,
% 7.43/5.63 ((~((~v39(constB22)) <=> v1(constB22))) | (~v39(constB22)) | (~v1(constB22))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29271,plain,
% 7.43/5.63 ((~((~v39(constB22)) <=> v1(constB22))) | (~v39(constB22))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29270, 6427])).
% 7.43/5.63 tff(29272,plain,
% 7.43/5.63 (~v39(constB22)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29271, 29269])).
% 7.43/5.63 tff(29273,plain,
% 7.43/5.63 (((~v39(constB22)) | (~v9(constB22))) | v39(constB22)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29274,plain,
% 7.43/5.63 ((~v39(constB22)) | (~v9(constB22))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29273, 29272])).
% 7.43/5.63 tff(29275,plain,
% 7.43/5.63 ((~(v185(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))) | (~v185(constB22)) | (~((~v39(constB22)) | (~v9(constB22))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29276,plain,
% 7.43/5.63 ((~(v185(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))) | (~v185(constB22))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29275, 29274])).
% 7.43/5.63 tff(29277,plain,
% 7.43/5.63 (~v185(constB22)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29276, 29267])).
% 7.43/5.63 tff(29278,plain,
% 7.43/5.63 (((~v185(constB22)) | (~v204(constB22))) | v185(constB22)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29279,plain,
% 7.43/5.63 ((~v185(constB22)) | (~v204(constB22))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29278, 29277])).
% 7.43/5.63 tff(29280,plain,
% 7.43/5.63 ((~(v203(constB22) <=> (~((~v185(constB22)) | (~v204(constB22)))))) | (~v203(constB22)) | (~((~v185(constB22)) | (~v204(constB22))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29281,plain,
% 7.43/5.63 ((~(v203(constB22) <=> (~((~v185(constB22)) | (~v204(constB22)))))) | (~v203(constB22))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29280, 29279])).
% 7.43/5.63 tff(29282,plain,
% 7.43/5.63 (~v203(constB22)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29281, 29265])).
% 7.43/5.63 tff(29283,plain,
% 7.43/5.63 (((~v183(constB22)) | (~v203(constB22))) | v203(constB22)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29284,plain,
% 7.43/5.63 ((~v183(constB22)) | (~v203(constB22))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29283, 29282])).
% 7.43/5.63 tff(29285,plain,
% 7.43/5.63 ((~(v202(constB22) <=> (~((~v183(constB22)) | (~v203(constB22)))))) | (~v202(constB22)) | (~((~v183(constB22)) | (~v203(constB22))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29286,plain,
% 7.43/5.63 (~v202(constB22)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29285, 29284, 29258])).
% 7.43/5.63 tff(29287,plain,
% 7.43/5.63 (((~v157(constB22)) | (~v202(constB22))) | v202(constB22)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29288,plain,
% 7.43/5.63 ((~v157(constB22)) | (~v202(constB22))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29287, 29286])).
% 7.43/5.63 tff(29289,plain,
% 7.43/5.63 ((~(v201(constB22) <=> (~((~v157(constB22)) | (~v202(constB22)))))) | (~v201(constB22)) | (~((~v157(constB22)) | (~v202(constB22))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29290,plain,
% 7.43/5.63 (~v201(constB22)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29289, 29288, 29256])).
% 7.43/5.63 tff(29291,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB22) <=> (~((~v159(constB22)) | (~v202(constB22)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB22) <=> (~((~v159(constB22)) | (~v202(constB22))))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29292,plain,
% 7.43/5.63 ((v205(constB22) <=> (~((~v202(constB22)) | (~v159(constB22))))) <=> (v205(constB22) <=> (~((~v159(constB22)) | (~v202(constB22)))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29293,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB22) <=> (~((~v202(constB22)) | (~v159(constB22)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB22) <=> (~((~v159(constB22)) | (~v202(constB22))))))),
% 7.43/5.63 inference(monotonicity,[status(thm)],[29292])).
% 7.43/5.63 tff(29294,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB22) <=> (~((~v202(constB22)) | (~v159(constB22)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB22) <=> (~((~v159(constB22)) | (~v202(constB22))))))),
% 7.43/5.63 inference(transitivity,[status(thm)],[29293, 29291])).
% 7.43/5.63 tff(29295,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB22) <=> (~((~v202(constB22)) | (~v159(constB22)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29296,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB22) <=> (~((~v159(constB22)) | (~v202(constB22)))))),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[29295, 29294])).
% 7.43/5.63 tff(29297,plain,
% 7.43/5.63 (v205(constB22) <=> (~((~v159(constB22)) | (~v202(constB22))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29296, 138])).
% 7.43/5.63 tff(29298,plain,
% 7.43/5.63 (((~v159(constB22)) | (~v202(constB22))) | v202(constB22)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29299,plain,
% 7.43/5.63 ((~v159(constB22)) | (~v202(constB22))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29298, 29286])).
% 7.43/5.63 tff(29300,plain,
% 7.43/5.63 ((~(v205(constB22) <=> (~((~v159(constB22)) | (~v202(constB22)))))) | (~v205(constB22)) | (~((~v159(constB22)) | (~v202(constB22))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29301,plain,
% 7.43/5.63 (~v205(constB22)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29300, 29299, 29297])).
% 7.43/5.63 tff(29302,plain,
% 7.43/5.63 ((~(v201(constB22) | v205(constB22))) | v201(constB22) | v205(constB22)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29303,plain,
% 7.43/5.63 (~(v201(constB22) | v205(constB22))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29302, 29301, 29290])).
% 7.43/5.63 tff(29304,plain,
% 7.43/5.63 ((~(v200(constB22) <=> (v201(constB22) | v205(constB22)))) | (~v200(constB22)) | (v201(constB22) | v205(constB22))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29305,plain,
% 7.43/5.63 ((~(v200(constB22) <=> (v201(constB22) | v205(constB22)))) | (~v200(constB22))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29304, 29303])).
% 7.43/5.63 tff(29306,plain,
% 7.43/5.63 (~v200(constB22)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29305, 29249])).
% 7.43/5.63 tff(29307,plain,
% 7.43/5.63 ($false),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29306, 29247])).
% 7.43/5.63 tff(29308,plain,(~(constB22 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.43/5.63 tff(29309,assumption,(constB10 = VarCurr!0), introduced(assumption)).
% 7.43/5.63 tff(29310,plain,
% 7.43/5.63 (v200(constB10) <=> v200(VarCurr!0)),
% 7.43/5.63 inference(monotonicity,[status(thm)],[29309])).
% 7.43/5.63 tff(29311,plain,
% 7.43/5.63 (v200(VarCurr!0) <=> v200(constB10)),
% 7.43/5.63 inference(symmetry,[status(thm)],[29310])).
% 7.43/5.63 tff(29312,plain,
% 7.43/5.63 (v200(constB10)),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[27, 29311])).
% 7.43/5.63 tff(29313,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB10) <=> (v201(constB10) | v205(constB10)))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29314,plain,
% 7.43/5.63 (v200(constB10) <=> (v201(constB10) | v205(constB10))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29313, 35])).
% 7.43/5.63 tff(29315,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB10) <=> (~((~v157(constB10)) | (~v202(constB10)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB10) <=> (~((~v157(constB10)) | (~v202(constB10))))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29316,plain,
% 7.43/5.63 ((v201(constB10) <=> (~((~v202(constB10)) | (~v157(constB10))))) <=> (v201(constB10) <=> (~((~v157(constB10)) | (~v202(constB10)))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29317,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB10) <=> (~((~v202(constB10)) | (~v157(constB10)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB10) <=> (~((~v157(constB10)) | (~v202(constB10))))))),
% 7.43/5.63 inference(monotonicity,[status(thm)],[29316])).
% 7.43/5.63 tff(29318,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB10) <=> (~((~v202(constB10)) | (~v157(constB10)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB10) <=> (~((~v157(constB10)) | (~v202(constB10))))))),
% 7.43/5.63 inference(transitivity,[status(thm)],[29317, 29315])).
% 7.43/5.63 tff(29319,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB10) <=> (~((~v202(constB10)) | (~v157(constB10)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29320,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB10) <=> (~((~v157(constB10)) | (~v202(constB10)))))),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[29319, 29318])).
% 7.43/5.63 tff(29321,plain,
% 7.43/5.63 (v201(constB10) <=> (~((~v157(constB10)) | (~v202(constB10))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29320, 47])).
% 7.43/5.63 tff(29322,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB10) <=> (~((~v183(constB10)) | (~v203(constB10)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29323,plain,
% 7.43/5.63 (v202(constB10) <=> (~((~v183(constB10)) | (~v203(constB10))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29322, 64])).
% 7.43/5.63 tff(29324,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB10) <=> (~((~v185(constB10)) | (~v204(constB10)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB10) <=> (~((~v185(constB10)) | (~v204(constB10))))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29325,plain,
% 7.43/5.63 ((v203(constB10) <=> (~((~v204(constB10)) | (~v185(constB10))))) <=> (v203(constB10) <=> (~((~v185(constB10)) | (~v204(constB10)))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29326,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB10) <=> (~((~v204(constB10)) | (~v185(constB10)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB10) <=> (~((~v185(constB10)) | (~v204(constB10))))))),
% 7.43/5.63 inference(monotonicity,[status(thm)],[29325])).
% 7.43/5.63 tff(29327,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB10) <=> (~((~v204(constB10)) | (~v185(constB10)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB10) <=> (~((~v185(constB10)) | (~v204(constB10))))))),
% 7.43/5.63 inference(transitivity,[status(thm)],[29326, 29324])).
% 7.43/5.63 tff(29328,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB10) <=> (~((~v204(constB10)) | (~v185(constB10)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29329,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB10) <=> (~((~v185(constB10)) | (~v204(constB10)))))),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[29328, 29327])).
% 7.43/5.63 tff(29330,plain,
% 7.43/5.63 (v203(constB10) <=> (~((~v185(constB10)) | (~v204(constB10))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29329, 76])).
% 7.43/5.63 tff(29331,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29332,plain,
% 7.43/5.63 (v185(constB10) <=> (~((~v39(constB10)) | (~v9(constB10))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29331, 93])).
% 7.43/5.63 tff(29333,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB10)) <=> v1(constB10))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29334,plain,
% 7.43/5.63 ((~v39(constB10)) <=> v1(constB10)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29333, 102])).
% 7.43/5.63 tff(29335,plain,
% 7.43/5.63 ((~((~v39(constB10)) <=> v1(constB10))) | (~v39(constB10)) | (~v1(constB10))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29336,plain,
% 7.43/5.63 ((~((~v39(constB10)) <=> v1(constB10))) | (~v39(constB10))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29335, 5458])).
% 7.43/5.63 tff(29337,plain,
% 7.43/5.63 (~v39(constB10)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29336, 29334])).
% 7.43/5.63 tff(29338,plain,
% 7.43/5.63 (((~v39(constB10)) | (~v9(constB10))) | v39(constB10)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29339,plain,
% 7.43/5.63 ((~v39(constB10)) | (~v9(constB10))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29338, 29337])).
% 7.43/5.63 tff(29340,plain,
% 7.43/5.63 ((~(v185(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))) | (~v185(constB10)) | (~((~v39(constB10)) | (~v9(constB10))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29341,plain,
% 7.43/5.63 ((~(v185(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))) | (~v185(constB10))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29340, 29339])).
% 7.43/5.63 tff(29342,plain,
% 7.43/5.63 (~v185(constB10)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29341, 29332])).
% 7.43/5.63 tff(29343,plain,
% 7.43/5.63 (((~v185(constB10)) | (~v204(constB10))) | v185(constB10)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29344,plain,
% 7.43/5.63 ((~v185(constB10)) | (~v204(constB10))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29343, 29342])).
% 7.43/5.63 tff(29345,plain,
% 7.43/5.63 ((~(v203(constB10) <=> (~((~v185(constB10)) | (~v204(constB10)))))) | (~v203(constB10)) | (~((~v185(constB10)) | (~v204(constB10))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29346,plain,
% 7.43/5.63 ((~(v203(constB10) <=> (~((~v185(constB10)) | (~v204(constB10)))))) | (~v203(constB10))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29345, 29344])).
% 7.43/5.63 tff(29347,plain,
% 7.43/5.63 (~v203(constB10)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29346, 29330])).
% 7.43/5.63 tff(29348,plain,
% 7.43/5.63 (((~v183(constB10)) | (~v203(constB10))) | v203(constB10)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29349,plain,
% 7.43/5.63 ((~v183(constB10)) | (~v203(constB10))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29348, 29347])).
% 7.43/5.63 tff(29350,plain,
% 7.43/5.63 ((~(v202(constB10) <=> (~((~v183(constB10)) | (~v203(constB10)))))) | (~v202(constB10)) | (~((~v183(constB10)) | (~v203(constB10))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29351,plain,
% 7.43/5.63 (~v202(constB10)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29350, 29349, 29323])).
% 7.43/5.63 tff(29352,plain,
% 7.43/5.63 (((~v157(constB10)) | (~v202(constB10))) | v202(constB10)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29353,plain,
% 7.43/5.63 ((~v157(constB10)) | (~v202(constB10))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29352, 29351])).
% 7.43/5.63 tff(29354,plain,
% 7.43/5.63 ((~(v201(constB10) <=> (~((~v157(constB10)) | (~v202(constB10)))))) | (~v201(constB10)) | (~((~v157(constB10)) | (~v202(constB10))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29355,plain,
% 7.43/5.63 (~v201(constB10)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29354, 29353, 29321])).
% 7.43/5.63 tff(29356,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB10) <=> (~((~v159(constB10)) | (~v202(constB10)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB10) <=> (~((~v159(constB10)) | (~v202(constB10))))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29357,plain,
% 7.43/5.63 ((v205(constB10) <=> (~((~v202(constB10)) | (~v159(constB10))))) <=> (v205(constB10) <=> (~((~v159(constB10)) | (~v202(constB10)))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29358,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB10) <=> (~((~v202(constB10)) | (~v159(constB10)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB10) <=> (~((~v159(constB10)) | (~v202(constB10))))))),
% 7.43/5.63 inference(monotonicity,[status(thm)],[29357])).
% 7.43/5.63 tff(29359,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB10) <=> (~((~v202(constB10)) | (~v159(constB10)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB10) <=> (~((~v159(constB10)) | (~v202(constB10))))))),
% 7.43/5.63 inference(transitivity,[status(thm)],[29358, 29356])).
% 7.43/5.63 tff(29360,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB10) <=> (~((~v202(constB10)) | (~v159(constB10)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29361,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB10) <=> (~((~v159(constB10)) | (~v202(constB10)))))),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[29360, 29359])).
% 7.43/5.63 tff(29362,plain,
% 7.43/5.63 (v205(constB10) <=> (~((~v159(constB10)) | (~v202(constB10))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29361, 138])).
% 7.43/5.63 tff(29363,plain,
% 7.43/5.63 (((~v159(constB10)) | (~v202(constB10))) | v202(constB10)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29364,plain,
% 7.43/5.63 ((~v159(constB10)) | (~v202(constB10))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29363, 29351])).
% 7.43/5.63 tff(29365,plain,
% 7.43/5.63 ((~(v205(constB10) <=> (~((~v159(constB10)) | (~v202(constB10)))))) | (~v205(constB10)) | (~((~v159(constB10)) | (~v202(constB10))))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29366,plain,
% 7.43/5.63 (~v205(constB10)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29365, 29364, 29362])).
% 7.43/5.63 tff(29367,plain,
% 7.43/5.63 ((~(v201(constB10) | v205(constB10))) | v201(constB10) | v205(constB10)),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29368,plain,
% 7.43/5.63 (~(v201(constB10) | v205(constB10))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29367, 29366, 29355])).
% 7.43/5.63 tff(29369,plain,
% 7.43/5.63 ((~(v200(constB10) <=> (v201(constB10) | v205(constB10)))) | (~v200(constB10)) | (v201(constB10) | v205(constB10))),
% 7.43/5.63 inference(tautology,[status(thm)],[])).
% 7.43/5.63 tff(29370,plain,
% 7.43/5.63 ((~(v200(constB10) <=> (v201(constB10) | v205(constB10)))) | (~v200(constB10))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29369, 29368])).
% 7.43/5.63 tff(29371,plain,
% 7.43/5.63 (~v200(constB10)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29370, 29314])).
% 7.43/5.63 tff(29372,plain,
% 7.43/5.63 ($false),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29371, 29312])).
% 7.43/5.63 tff(29373,plain,(~(constB10 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.43/5.63 tff(29374,assumption,(constB7 = VarCurr!0), introduced(assumption)).
% 7.43/5.63 tff(29375,plain,
% 7.43/5.63 (v200(constB7) <=> v200(VarCurr!0)),
% 7.43/5.63 inference(monotonicity,[status(thm)],[29374])).
% 7.43/5.63 tff(29376,plain,
% 7.43/5.63 (v200(VarCurr!0) <=> v200(constB7)),
% 7.43/5.63 inference(symmetry,[status(thm)],[29375])).
% 7.43/5.63 tff(29377,plain,
% 7.43/5.63 (v200(constB7)),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[27, 29376])).
% 7.43/5.63 tff(29378,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB7) <=> (v201(constB7) | v205(constB7)))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29379,plain,
% 7.43/5.63 (v200(constB7) <=> (v201(constB7) | v205(constB7))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29378, 35])).
% 7.43/5.63 tff(29380,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB7) <=> (~((~v157(constB7)) | (~v202(constB7)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB7) <=> (~((~v157(constB7)) | (~v202(constB7))))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29381,plain,
% 7.43/5.63 ((v201(constB7) <=> (~((~v202(constB7)) | (~v157(constB7))))) <=> (v201(constB7) <=> (~((~v157(constB7)) | (~v202(constB7)))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29382,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB7) <=> (~((~v202(constB7)) | (~v157(constB7)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB7) <=> (~((~v157(constB7)) | (~v202(constB7))))))),
% 7.43/5.63 inference(monotonicity,[status(thm)],[29381])).
% 7.43/5.63 tff(29383,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB7) <=> (~((~v202(constB7)) | (~v157(constB7)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB7) <=> (~((~v157(constB7)) | (~v202(constB7))))))),
% 7.43/5.63 inference(transitivity,[status(thm)],[29382, 29380])).
% 7.43/5.63 tff(29384,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB7) <=> (~((~v202(constB7)) | (~v157(constB7)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29385,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB7) <=> (~((~v157(constB7)) | (~v202(constB7)))))),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[29384, 29383])).
% 7.43/5.63 tff(29386,plain,
% 7.43/5.63 (v201(constB7) <=> (~((~v157(constB7)) | (~v202(constB7))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29385, 47])).
% 7.43/5.63 tff(29387,plain,
% 7.43/5.63 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB7) <=> v192(constB7))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29388,plain,
% 7.43/5.63 (v157(constB7) <=> v192(constB7)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29387, 15407])).
% 7.43/5.63 tff(29389,plain,
% 7.43/5.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB6, constB7)) | (v192(constB7) <=> v190(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB6, constB7)) | (v192(constB7) <=> v190(constB6)))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29390,plain,
% 7.43/5.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB6, constB7)) | (v192(constB7) <=> v190(constB6)))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29391,plain,
% 7.43/5.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB6, constB7)) | (v192(constB7) <=> v190(constB6))),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[29390, 29389])).
% 7.43/5.63 tff(29392,plain,
% 7.43/5.63 (v192(constB7) <=> v190(constB6)),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29391, 4314, 15419])).
% 7.43/5.63 tff(29393,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB6) <=> (v193(constB6) | v196(constB6)))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29394,plain,
% 7.43/5.63 (v190(constB6) <=> (v193(constB6) | v196(constB6))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29393, 15430])).
% 7.43/5.63 tff(29395,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB6) <=> (~((~v157(constB6)) | (~v194(constB6)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB6) <=> (~((~v157(constB6)) | (~v194(constB6))))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29396,plain,
% 7.43/5.63 ((v193(constB6) <=> (~((~v194(constB6)) | (~v157(constB6))))) <=> (v193(constB6) <=> (~((~v157(constB6)) | (~v194(constB6)))))),
% 7.43/5.63 inference(rewrite,[status(thm)],[])).
% 7.43/5.63 tff(29397,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB6) <=> (~((~v194(constB6)) | (~v157(constB6)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB6) <=> (~((~v157(constB6)) | (~v194(constB6))))))),
% 7.43/5.63 inference(monotonicity,[status(thm)],[29396])).
% 7.43/5.63 tff(29398,plain,
% 7.43/5.63 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB6) <=> (~((~v194(constB6)) | (~v157(constB6)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB6) <=> (~((~v157(constB6)) | (~v194(constB6))))))),
% 7.43/5.63 inference(transitivity,[status(thm)],[29397, 29395])).
% 7.43/5.63 tff(29399,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB6) <=> (~((~v194(constB6)) | (~v157(constB6)))))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29400,plain,
% 7.43/5.63 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB6) <=> (~((~v157(constB6)) | (~v194(constB6)))))),
% 7.43/5.63 inference(modus_ponens,[status(thm)],[29399, 29398])).
% 7.43/5.63 tff(29401,plain,
% 7.43/5.63 (v193(constB6) <=> (~((~v157(constB6)) | (~v194(constB6))))),
% 7.43/5.63 inference(unit_resolution,[status(thm)],[29400, 15442])).
% 7.43/5.63 tff(29402,plain,
% 7.43/5.63 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB6) <=> v192(constB6))),
% 7.43/5.63 inference(quant_inst,[status(thm)],[])).
% 7.43/5.63 tff(29403,plain,
% 7.43/5.63 (v157(constB6) <=> v192(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29402, 15407])).
% 7.43/5.64 tff(29404,plain,
% 7.43/5.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB5, constB6)) | (v192(constB6) <=> v190(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB5, constB6)) | (v192(constB6) <=> v190(constB5)))),
% 7.43/5.64 inference(rewrite,[status(thm)],[])).
% 7.43/5.64 tff(29405,plain,
% 7.43/5.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB5, constB6)) | (v192(constB6) <=> v190(constB5)))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29406,plain,
% 7.43/5.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB5, constB6)) | (v192(constB6) <=> v190(constB5))),
% 7.43/5.64 inference(modus_ponens,[status(thm)],[29405, 29404])).
% 7.43/5.64 tff(29407,plain,
% 7.43/5.64 (v192(constB6) <=> v190(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29406, 4350, 15419])).
% 7.43/5.64 tff(29408,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB5) <=> (v193(constB5) | v196(constB5)))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29409,plain,
% 7.43/5.64 (v190(constB5) <=> (v193(constB5) | v196(constB5))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29408, 15430])).
% 7.43/5.64 tff(29410,plain,
% 7.43/5.64 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB5) <=> (~((~v159(constB5)) | (~v194(constB5)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB5) <=> (~((~v159(constB5)) | (~v194(constB5))))))),
% 7.43/5.64 inference(rewrite,[status(thm)],[])).
% 7.43/5.64 tff(29411,plain,
% 7.43/5.64 ((v196(constB5) <=> (~((~v194(constB5)) | (~v159(constB5))))) <=> (v196(constB5) <=> (~((~v159(constB5)) | (~v194(constB5)))))),
% 7.43/5.64 inference(rewrite,[status(thm)],[])).
% 7.43/5.64 tff(29412,plain,
% 7.43/5.64 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB5) <=> (~((~v194(constB5)) | (~v159(constB5)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB5) <=> (~((~v159(constB5)) | (~v194(constB5))))))),
% 7.43/5.64 inference(monotonicity,[status(thm)],[29411])).
% 7.43/5.64 tff(29413,plain,
% 7.43/5.64 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB5) <=> (~((~v194(constB5)) | (~v159(constB5)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB5) <=> (~((~v159(constB5)) | (~v194(constB5))))))),
% 7.43/5.64 inference(transitivity,[status(thm)],[29412, 29410])).
% 7.43/5.64 tff(29414,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB5) <=> (~((~v194(constB5)) | (~v159(constB5)))))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29415,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB5) <=> (~((~v159(constB5)) | (~v194(constB5)))))),
% 7.43/5.64 inference(modus_ponens,[status(thm)],[29414, 29413])).
% 7.43/5.64 tff(29416,plain,
% 7.43/5.64 (v196(constB5) <=> (~((~v159(constB5)) | (~v194(constB5))))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29415, 15467])).
% 7.43/5.64 tff(29417,plain,
% 7.43/5.64 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB5) <=> v182(constB5))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29418,plain,
% 7.43/5.64 (v159(constB5) <=> v182(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29417, 15113])).
% 7.43/5.64 tff(29419,plain,
% 7.43/5.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB4, constB5)) | (v182(constB5) <=> v180(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB4, constB5)) | (v182(constB5) <=> v180(constB4)))),
% 7.43/5.64 inference(rewrite,[status(thm)],[])).
% 7.43/5.64 tff(29420,plain,
% 7.43/5.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB4, constB5)) | (v182(constB5) <=> v180(constB4)))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29421,plain,
% 7.43/5.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB4, constB5)) | (v182(constB5) <=> v180(constB4))),
% 7.43/5.64 inference(modus_ponens,[status(thm)],[29420, 29419])).
% 7.43/5.64 tff(29422,plain,
% 7.43/5.64 (v182(constB5) <=> v180(constB4)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29421, 4375, 15125])).
% 7.43/5.64 tff(29423,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB4) <=> (~((~v183(constB4)) | (~v184(constB4)))))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29424,plain,
% 7.43/5.64 (v180(constB4) <=> (~((~v183(constB4)) | (~v184(constB4))))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29423, 15139])).
% 7.43/5.64 tff(29425,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB4) <=> (~((~v185(constB4)) | (~v161(constB4)))))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29426,plain,
% 7.43/5.64 (v184(constB4) <=> (~((~v185(constB4)) | (~v161(constB4))))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29425, 15151])).
% 7.43/5.64 tff(29427,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB4) <=> (~((~v39(constB4)) | (~v9(constB4)))))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29428,plain,
% 7.43/5.64 (v185(constB4) <=> (~((~v39(constB4)) | (~v9(constB4))))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29427, 93])).
% 7.43/5.64 tff(29429,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB4)) <=> v1(constB4))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29430,plain,
% 7.43/5.64 ((~v39(constB4)) <=> v1(constB4)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29429, 102])).
% 7.43/5.64 tff(29431,plain,
% 7.43/5.64 ((~((~v39(constB4)) <=> v1(constB4))) | (~v39(constB4)) | (~v1(constB4))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29432,plain,
% 7.43/5.64 ((~((~v39(constB4)) <=> v1(constB4))) | (~v39(constB4))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29431, 4899])).
% 7.43/5.64 tff(29433,plain,
% 7.43/5.64 (~v39(constB4)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29432, 29430])).
% 7.43/5.64 tff(29434,plain,
% 7.43/5.64 (((~v39(constB4)) | (~v9(constB4))) | v39(constB4)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29435,plain,
% 7.43/5.64 ((~v39(constB4)) | (~v9(constB4))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29434, 29433])).
% 7.43/5.64 tff(29436,plain,
% 7.43/5.64 ((~(v185(constB4) <=> (~((~v39(constB4)) | (~v9(constB4)))))) | (~v185(constB4)) | (~((~v39(constB4)) | (~v9(constB4))))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29437,plain,
% 7.43/5.64 ((~(v185(constB4) <=> (~((~v39(constB4)) | (~v9(constB4)))))) | (~v185(constB4))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29436, 29435])).
% 7.43/5.64 tff(29438,plain,
% 7.43/5.64 (~v185(constB4)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29437, 29428])).
% 7.43/5.64 tff(29439,plain,
% 7.43/5.64 (((~v185(constB4)) | (~v161(constB4))) | v185(constB4)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29440,plain,
% 7.43/5.64 ((~v185(constB4)) | (~v161(constB4))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29439, 29438])).
% 7.43/5.64 tff(29441,plain,
% 7.43/5.64 ((~(v184(constB4) <=> (~((~v185(constB4)) | (~v161(constB4)))))) | (~v184(constB4)) | (~((~v185(constB4)) | (~v161(constB4))))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29442,plain,
% 7.43/5.64 ((~(v184(constB4) <=> (~((~v185(constB4)) | (~v161(constB4)))))) | (~v184(constB4))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29441, 29440])).
% 7.43/5.64 tff(29443,plain,
% 7.43/5.64 (~v184(constB4)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29442, 29426])).
% 7.43/5.64 tff(29444,plain,
% 7.43/5.64 (((~v183(constB4)) | (~v184(constB4))) | v184(constB4)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29445,plain,
% 7.43/5.64 ((~v183(constB4)) | (~v184(constB4))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29444, 29443])).
% 7.43/5.64 tff(29446,plain,
% 7.43/5.64 ((~(v180(constB4) <=> (~((~v183(constB4)) | (~v184(constB4)))))) | (~v180(constB4)) | (~((~v183(constB4)) | (~v184(constB4))))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29447,plain,
% 7.43/5.64 (~v180(constB4)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29446, 29445, 29424])).
% 7.43/5.64 tff(29448,plain,
% 7.43/5.64 ((~(v182(constB5) <=> v180(constB4))) | (~v182(constB5)) | v180(constB4)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29449,plain,
% 7.43/5.64 (~v182(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29448, 29447, 29422])).
% 7.43/5.64 tff(29450,plain,
% 7.43/5.64 ((~(v159(constB5) <=> v182(constB5))) | (~v159(constB5)) | v182(constB5)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29451,plain,
% 7.43/5.64 (~v159(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29450, 29449, 29418])).
% 7.43/5.64 tff(29452,plain,
% 7.43/5.64 (((~v159(constB5)) | (~v194(constB5))) | v159(constB5)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29453,plain,
% 7.43/5.64 ((~v159(constB5)) | (~v194(constB5))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29452, 29451])).
% 7.43/5.64 tff(29454,plain,
% 7.43/5.64 ((~(v196(constB5) <=> (~((~v159(constB5)) | (~v194(constB5)))))) | (~v196(constB5)) | (~((~v159(constB5)) | (~v194(constB5))))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29455,plain,
% 7.43/5.64 (~v196(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29454, 29453, 29416])).
% 7.43/5.64 tff(29456,plain,
% 7.43/5.64 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB5) <=> (~((~v157(constB5)) | (~v194(constB5)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB5) <=> (~((~v157(constB5)) | (~v194(constB5))))))),
% 7.43/5.64 inference(rewrite,[status(thm)],[])).
% 7.43/5.64 tff(29457,plain,
% 7.43/5.64 ((v193(constB5) <=> (~((~v194(constB5)) | (~v157(constB5))))) <=> (v193(constB5) <=> (~((~v157(constB5)) | (~v194(constB5)))))),
% 7.43/5.64 inference(rewrite,[status(thm)],[])).
% 7.43/5.64 tff(29458,plain,
% 7.43/5.64 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB5) <=> (~((~v194(constB5)) | (~v157(constB5)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB5) <=> (~((~v157(constB5)) | (~v194(constB5))))))),
% 7.43/5.64 inference(monotonicity,[status(thm)],[29457])).
% 7.43/5.64 tff(29459,plain,
% 7.43/5.64 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB5) <=> (~((~v194(constB5)) | (~v157(constB5)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB5) <=> (~((~v157(constB5)) | (~v194(constB5))))))),
% 7.43/5.64 inference(transitivity,[status(thm)],[29458, 29456])).
% 7.43/5.64 tff(29460,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB5) <=> (~((~v194(constB5)) | (~v157(constB5)))))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29461,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB5) <=> (~((~v157(constB5)) | (~v194(constB5)))))),
% 7.43/5.64 inference(modus_ponens,[status(thm)],[29460, 29459])).
% 7.43/5.64 tff(29462,plain,
% 7.43/5.64 (v193(constB5) <=> (~((~v157(constB5)) | (~v194(constB5))))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29461, 15442])).
% 7.43/5.64 tff(29463,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB5)) <=> v195(constB5))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29464,plain,
% 7.43/5.64 ((~v194(constB5)) <=> v195(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29463, 15527])).
% 7.43/5.64 tff(29465,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB5) <=> (v185(constB5) | v26(constB5)))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29466,plain,
% 7.43/5.64 (v195(constB5) <=> (v185(constB5) | v26(constB5))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29465, 15536])).
% 7.43/5.64 tff(29467,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB5) <=> (~((~v39(constB5)) | (~v9(constB5)))))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29468,plain,
% 7.43/5.64 (v185(constB5) <=> (~((~v39(constB5)) | (~v9(constB5))))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29467, 93])).
% 7.43/5.64 tff(29469,plain,
% 7.43/5.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5)))),
% 7.43/5.64 inference(rewrite,[status(thm)],[])).
% 7.43/5.64 tff(29470,plain,
% 7.43/5.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5)))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29471,plain,
% 7.43/5.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5))),
% 7.43/5.64 inference(modus_ponens,[status(thm)],[29470, 29469])).
% 7.43/5.64 tff(29472,plain,
% 7.43/5.64 (v13(constB6) <=> v9(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29471, 4350, 15550])).
% 7.43/5.64 tff(29473,plain,
% 7.43/5.64 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB6) <=> v13(constB6))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29474,plain,
% 7.43/5.64 (v6(constB6) <=> v13(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29473, 15564])).
% 7.43/5.64 tff(29475,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB6)) <=> v6(constB6))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29476,plain,
% 7.43/5.64 ((~v21(constB6)) <=> v6(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29475, 15573])).
% 7.43/5.64 tff(29477,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB6) <=> (v20(constB6) | v21(constB6)))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29478,plain,
% 7.43/5.64 (v19(constB6) <=> (v20(constB6) | v21(constB6))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29477, 15582])).
% 7.43/5.64 tff(29479,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6)))))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29480,plain,
% 7.43/5.64 (v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6))))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29479, 15594])).
% 7.43/5.64 tff(29481,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB6)) <=> v18(constB6))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29482,plain,
% 7.43/5.64 ((~v4(constB6)) <=> v18(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29481, 15603])).
% 7.43/5.64 tff(29483,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB6)),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29484,plain,
% 7.43/5.64 (v4(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29483, 15612])).
% 7.43/5.64 tff(29485,plain,
% 7.43/5.64 ((~((~v4(constB6)) <=> v18(constB6))) | (~v4(constB6)) | (~v18(constB6))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29486,plain,
% 7.43/5.64 (~v18(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29485, 29484, 29482])).
% 7.43/5.64 tff(29487,plain,
% 7.43/5.64 ((~(v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6)))))) | v18(constB6) | ((~v19(constB6)) | (~v22(constB6)))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29488,plain,
% 7.43/5.64 ((~v19(constB6)) | (~v22(constB6))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29487, 29486, 29480])).
% 7.43/5.64 tff(29489,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB6) <=> (v1(constB6) | v6(constB6)))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29490,plain,
% 7.43/5.64 (v22(constB6) <=> (v1(constB6) | v6(constB6))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29489, 15625])).
% 7.43/5.64 tff(29491,plain,
% 7.43/5.64 ((v1(constB6) | v6(constB6)) | (~v1(constB6))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29492,plain,
% 7.43/5.64 (v1(constB6) | v6(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29491, 5103])).
% 7.43/5.64 tff(29493,plain,
% 7.43/5.64 ((~(v22(constB6) <=> (v1(constB6) | v6(constB6)))) | v22(constB6) | (~(v1(constB6) | v6(constB6)))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29494,plain,
% 7.43/5.64 ((~(v22(constB6) <=> (v1(constB6) | v6(constB6)))) | v22(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29493, 29492])).
% 7.43/5.64 tff(29495,plain,
% 7.43/5.64 (v22(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29494, 29490])).
% 7.43/5.64 tff(29496,plain,
% 7.43/5.64 ((~((~v19(constB6)) | (~v22(constB6)))) | (~v19(constB6)) | (~v22(constB6))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29497,plain,
% 7.43/5.64 ((~((~v19(constB6)) | (~v22(constB6)))) | (~v19(constB6))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29496, 29495])).
% 7.43/5.64 tff(29498,plain,
% 7.43/5.64 (~v19(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29497, 29488])).
% 7.43/5.64 tff(29499,plain,
% 7.43/5.64 ((~(v19(constB6) <=> (v20(constB6) | v21(constB6)))) | v19(constB6) | (~(v20(constB6) | v21(constB6)))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29500,plain,
% 7.43/5.64 (~(v20(constB6) | v21(constB6))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29499, 29498, 29478])).
% 7.43/5.64 tff(29501,plain,
% 7.43/5.64 ((v20(constB6) | v21(constB6)) | (~v21(constB6))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29502,plain,
% 7.43/5.64 (~v21(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29501, 29500])).
% 7.43/5.64 tff(29503,plain,
% 7.43/5.64 ((~((~v21(constB6)) <=> v6(constB6))) | v21(constB6) | v6(constB6)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29504,plain,
% 7.43/5.64 (v6(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29503, 29502, 29476])).
% 7.43/5.64 tff(29505,plain,
% 7.43/5.64 ((~(v6(constB6) <=> v13(constB6))) | (~v6(constB6)) | v13(constB6)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29506,plain,
% 7.43/5.64 (v13(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29505, 29504, 29474])).
% 7.43/5.64 tff(29507,plain,
% 7.43/5.64 ((~(v13(constB6) <=> v9(constB5))) | (~v13(constB6)) | v9(constB5)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29508,plain,
% 7.43/5.64 (v9(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29507, 29506, 29472])).
% 7.43/5.64 tff(29509,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB5)) <=> v1(constB5))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29510,plain,
% 7.43/5.64 ((~v39(constB5)) <=> v1(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29509, 102])).
% 7.43/5.64 tff(29511,plain,
% 7.43/5.64 ((~((~v39(constB5)) <=> v1(constB5))) | v39(constB5) | v1(constB5)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29512,plain,
% 7.43/5.64 ((~((~v39(constB5)) <=> v1(constB5))) | v39(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29511, 4389])).
% 7.43/5.64 tff(29513,plain,
% 7.43/5.64 (v39(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29512, 29510])).
% 7.43/5.64 tff(29514,plain,
% 7.43/5.64 ((~((~v39(constB5)) | (~v9(constB5)))) | (~v39(constB5)) | (~v9(constB5))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29515,plain,
% 7.43/5.64 ((~((~v39(constB5)) | (~v9(constB5)))) | (~v9(constB5))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29514, 29513])).
% 7.43/5.64 tff(29516,plain,
% 7.43/5.64 (~((~v39(constB5)) | (~v9(constB5)))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29515, 29508])).
% 7.43/5.64 tff(29517,plain,
% 7.43/5.64 ((~(v185(constB5) <=> (~((~v39(constB5)) | (~v9(constB5)))))) | v185(constB5) | ((~v39(constB5)) | (~v9(constB5)))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29518,plain,
% 7.43/5.64 (v185(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29517, 29516, 29468])).
% 7.43/5.64 tff(29519,plain,
% 7.43/5.64 ((v185(constB5) | v26(constB5)) | (~v185(constB5))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29520,plain,
% 7.43/5.64 (v185(constB5) | v26(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29519, 29518])).
% 7.43/5.64 tff(29521,plain,
% 7.43/5.64 ((~(v195(constB5) <=> (v185(constB5) | v26(constB5)))) | v195(constB5) | (~(v185(constB5) | v26(constB5)))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29522,plain,
% 7.43/5.64 (v195(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29521, 29520, 29466])).
% 7.43/5.64 tff(29523,plain,
% 7.43/5.64 ((~((~v194(constB5)) <=> v195(constB5))) | (~v194(constB5)) | (~v195(constB5))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29524,plain,
% 7.43/5.64 (~v194(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29523, 29522, 29464])).
% 7.43/5.64 tff(29525,plain,
% 7.43/5.64 (((~v157(constB5)) | (~v194(constB5))) | v194(constB5)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29526,plain,
% 7.43/5.64 ((~v157(constB5)) | (~v194(constB5))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29525, 29524])).
% 7.43/5.64 tff(29527,plain,
% 7.43/5.64 ((~(v193(constB5) <=> (~((~v157(constB5)) | (~v194(constB5)))))) | (~v193(constB5)) | (~((~v157(constB5)) | (~v194(constB5))))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29528,plain,
% 7.43/5.64 (~v193(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29527, 29526, 29462])).
% 7.43/5.64 tff(29529,plain,
% 7.43/5.64 ((~(v193(constB5) | v196(constB5))) | v193(constB5) | v196(constB5)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29530,plain,
% 7.43/5.64 (~(v193(constB5) | v196(constB5))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29529, 29528, 29455])).
% 7.43/5.64 tff(29531,plain,
% 7.43/5.64 ((~(v190(constB5) <=> (v193(constB5) | v196(constB5)))) | (~v190(constB5)) | (v193(constB5) | v196(constB5))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29532,plain,
% 7.43/5.64 (~v190(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29531, 29530, 29409])).
% 7.43/5.64 tff(29533,plain,
% 7.43/5.64 ((~(v192(constB6) <=> v190(constB5))) | (~v192(constB6)) | v190(constB5)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29534,plain,
% 7.43/5.64 (~v192(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29533, 29532, 29407])).
% 7.43/5.64 tff(29535,plain,
% 7.43/5.64 ((~(v157(constB6) <=> v192(constB6))) | (~v157(constB6)) | v192(constB6)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29536,plain,
% 7.43/5.64 (~v157(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29535, 29534, 29403])).
% 7.43/5.64 tff(29537,plain,
% 7.43/5.64 (((~v157(constB6)) | (~v194(constB6))) | v157(constB6)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29538,plain,
% 7.43/5.64 ((~v157(constB6)) | (~v194(constB6))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29537, 29536])).
% 7.43/5.64 tff(29539,plain,
% 7.43/5.64 ((~(v193(constB6) <=> (~((~v157(constB6)) | (~v194(constB6)))))) | (~v193(constB6)) | (~((~v157(constB6)) | (~v194(constB6))))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29540,plain,
% 7.43/5.64 (~v193(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29539, 29538, 29401])).
% 7.43/5.64 tff(29541,plain,
% 7.43/5.64 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB6) <=> (~((~v159(constB6)) | (~v194(constB6)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB6) <=> (~((~v159(constB6)) | (~v194(constB6))))))),
% 7.43/5.64 inference(rewrite,[status(thm)],[])).
% 7.43/5.64 tff(29542,plain,
% 7.43/5.64 ((v196(constB6) <=> (~((~v194(constB6)) | (~v159(constB6))))) <=> (v196(constB6) <=> (~((~v159(constB6)) | (~v194(constB6)))))),
% 7.43/5.64 inference(rewrite,[status(thm)],[])).
% 7.43/5.64 tff(29543,plain,
% 7.43/5.64 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB6) <=> (~((~v194(constB6)) | (~v159(constB6)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB6) <=> (~((~v159(constB6)) | (~v194(constB6))))))),
% 7.43/5.64 inference(monotonicity,[status(thm)],[29542])).
% 7.43/5.64 tff(29544,plain,
% 7.43/5.64 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB6) <=> (~((~v194(constB6)) | (~v159(constB6)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB6) <=> (~((~v159(constB6)) | (~v194(constB6))))))),
% 7.43/5.64 inference(transitivity,[status(thm)],[29543, 29541])).
% 7.43/5.64 tff(29545,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB6) <=> (~((~v194(constB6)) | (~v159(constB6)))))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29546,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB6) <=> (~((~v159(constB6)) | (~v194(constB6)))))),
% 7.43/5.64 inference(modus_ponens,[status(thm)],[29545, 29544])).
% 7.43/5.64 tff(29547,plain,
% 7.43/5.64 (v196(constB6) <=> (~((~v159(constB6)) | (~v194(constB6))))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29546, 15467])).
% 7.43/5.64 tff(29548,plain,
% 7.43/5.64 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB6) <=> v182(constB6))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29549,plain,
% 7.43/5.64 (v159(constB6) <=> v182(constB6)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29548, 15113])).
% 7.43/5.64 tff(29550,plain,
% 7.43/5.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB5, constB6)) | (v182(constB6) <=> v180(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB5, constB6)) | (v182(constB6) <=> v180(constB5)))),
% 7.43/5.64 inference(rewrite,[status(thm)],[])).
% 7.43/5.64 tff(29551,plain,
% 7.43/5.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB5, constB6)) | (v182(constB6) <=> v180(constB5)))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29552,plain,
% 7.43/5.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB5, constB6)) | (v182(constB6) <=> v180(constB5))),
% 7.43/5.64 inference(modus_ponens,[status(thm)],[29551, 29550])).
% 7.43/5.64 tff(29553,plain,
% 7.43/5.64 (v182(constB6) <=> v180(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29552, 4350, 15125])).
% 7.43/5.64 tff(29554,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB5) <=> (~((~v183(constB5)) | (~v184(constB5)))))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29555,plain,
% 7.43/5.64 (v180(constB5) <=> (~((~v183(constB5)) | (~v184(constB5))))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29554, 15139])).
% 7.43/5.64 tff(29556,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB5) <=> (~((~v185(constB5)) | (~v161(constB5)))))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29557,plain,
% 7.43/5.64 (v184(constB5) <=> (~((~v185(constB5)) | (~v161(constB5))))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29556, 15151])).
% 7.43/5.64 tff(29558,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB5) <=> v163(constB5))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29559,plain,
% 7.43/5.64 (v161(constB5) <=> v163(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29558, 15701])).
% 7.43/5.64 tff(29560,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB5) <=> (v145(constB5) | v167(constB5)))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29561,plain,
% 7.43/5.64 (v166(constB5) <=> (v145(constB5) | v167(constB5))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29560, 15713])).
% 7.43/5.64 tff(29562,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB5) <=> (v142(constB5) | v168(constB5)))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29563,plain,
% 7.43/5.64 (v167(constB5) <=> (v142(constB5) | v168(constB5))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29562, 15725])).
% 7.43/5.64 tff(29564,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB5) <=> (v143(constB5) | v144(constB5)))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29565,plain,
% 7.43/5.64 (v142(constB5) <=> (v143(constB5) | v144(constB5))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29564, 221])).
% 7.43/5.64 tff(29566,plain,
% 7.43/5.64 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB5) <=> (~((~v88(constB5, 1)) | (~v88(constB5, 2)) | v88(constB5, 0))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB5) <=> (~((~v88(constB5, 1)) | (~v88(constB5, 2)) | v88(constB5, 0)))))),
% 7.43/5.64 inference(rewrite,[status(thm)],[])).
% 7.43/5.64 tff(29567,plain,
% 7.43/5.64 ((v144(constB5) <=> (~(v88(constB5, 0) | (~v88(constB5, 1)) | (~v88(constB5, 2))))) <=> (v144(constB5) <=> (~((~v88(constB5, 1)) | (~v88(constB5, 2)) | v88(constB5, 0))))),
% 7.43/5.64 inference(rewrite,[status(thm)],[])).
% 7.43/5.64 tff(29568,plain,
% 7.43/5.64 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB5) <=> (~(v88(constB5, 0) | (~v88(constB5, 1)) | (~v88(constB5, 2)))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB5) <=> (~((~v88(constB5, 1)) | (~v88(constB5, 2)) | v88(constB5, 0)))))),
% 7.43/5.64 inference(monotonicity,[status(thm)],[29567])).
% 7.43/5.64 tff(29569,plain,
% 7.43/5.64 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB5) <=> (~(v88(constB5, 0) | (~v88(constB5, 1)) | (~v88(constB5, 2)))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB5) <=> (~((~v88(constB5, 1)) | (~v88(constB5, 2)) | v88(constB5, 0)))))),
% 7.43/5.64 inference(transitivity,[status(thm)],[29568, 29566])).
% 7.43/5.64 tff(29570,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB5) <=> (~(v88(constB5, 0) | (~v88(constB5, 1)) | (~v88(constB5, 2)))))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29571,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB5) <=> (~((~v88(constB5, 1)) | (~v88(constB5, 2)) | v88(constB5, 0))))),
% 7.43/5.64 inference(modus_ponens,[status(thm)],[29570, 29569])).
% 7.43/5.64 tff(29572,plain,
% 7.43/5.64 (v144(constB5) <=> (~((~v88(constB5, 1)) | (~v88(constB5, 2)) | v88(constB5, 0)))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29571, 28763])).
% 7.43/5.64 tff(29573,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB5, 1)) <=> v90(constB5, 1)) | ((~v88(constB5, 2)) <=> v90(constB5, 2)) | ((~v88(constB5, 0)) <=> v90(constB5, 0))))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29574,plain,
% 7.43/5.64 (~(((~v88(constB5, 1)) <=> v90(constB5, 1)) | ((~v88(constB5, 2)) <=> v90(constB5, 2)) | ((~v88(constB5, 0)) <=> v90(constB5, 0)))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29573, 256])).
% 7.43/5.64 tff(29575,plain,
% 7.43/5.64 ((((~v88(constB5, 1)) <=> v90(constB5, 1)) | ((~v88(constB5, 2)) <=> v90(constB5, 2)) | ((~v88(constB5, 0)) <=> v90(constB5, 0))) | (~((~v88(constB5, 2)) <=> v90(constB5, 2)))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29576,plain,
% 7.43/5.64 (~((~v88(constB5, 2)) <=> v90(constB5, 2))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29575, 29574])).
% 7.43/5.64 tff(29577,plain,
% 7.43/5.64 (((~v88(constB5, 2)) <=> v90(constB5, 2)) | v88(constB5, 2) | (~v90(constB5, 2))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29578,plain,
% 7.43/5.64 (v88(constB5, 2)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29577, 4961, 29576])).
% 7.43/5.64 tff(29579,plain,
% 7.43/5.64 ((((~v88(constB5, 1)) <=> v90(constB5, 1)) | ((~v88(constB5, 2)) <=> v90(constB5, 2)) | ((~v88(constB5, 0)) <=> v90(constB5, 0))) | (~((~v88(constB5, 0)) <=> v90(constB5, 0)))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29580,plain,
% 7.43/5.64 (~((~v88(constB5, 0)) <=> v90(constB5, 0))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29579, 29574])).
% 7.43/5.64 tff(29581,plain,
% 7.43/5.64 (((~v88(constB5, 0)) <=> v90(constB5, 0)) | (~v88(constB5, 0)) | v90(constB5, 0)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29582,plain,
% 7.43/5.64 (~v88(constB5, 0)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29581, 5151, 29580])).
% 7.43/5.64 tff(29583,plain,
% 7.43/5.64 ((((~v88(constB5, 1)) <=> v90(constB5, 1)) | ((~v88(constB5, 2)) <=> v90(constB5, 2)) | ((~v88(constB5, 0)) <=> v90(constB5, 0))) | (~((~v88(constB5, 1)) <=> v90(constB5, 1)))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29584,plain,
% 7.43/5.64 (~((~v88(constB5, 1)) <=> v90(constB5, 1))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29583, 29574])).
% 7.43/5.64 tff(29585,plain,
% 7.43/5.64 (((~v88(constB5, 1)) <=> v90(constB5, 1)) | v88(constB5, 1) | (~v90(constB5, 1))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29586,plain,
% 7.43/5.64 (v88(constB5, 1)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29585, 5003, 29584])).
% 7.43/5.64 tff(29587,plain,
% 7.43/5.64 ((~((~v88(constB5, 1)) | (~v88(constB5, 2)) | v88(constB5, 0))) | (~v88(constB5, 1)) | (~v88(constB5, 2)) | v88(constB5, 0)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29588,plain,
% 7.43/5.64 (~((~v88(constB5, 1)) | (~v88(constB5, 2)) | v88(constB5, 0))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29587, 29586, 29582, 29578])).
% 7.43/5.64 tff(29589,plain,
% 7.43/5.64 ((~(v144(constB5) <=> (~((~v88(constB5, 1)) | (~v88(constB5, 2)) | v88(constB5, 0))))) | v144(constB5) | ((~v88(constB5, 1)) | (~v88(constB5, 2)) | v88(constB5, 0))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29590,plain,
% 7.43/5.64 (v144(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29589, 29588, 29572])).
% 7.43/5.64 tff(29591,plain,
% 7.43/5.64 ((v143(constB5) | v144(constB5)) | (~v144(constB5))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29592,plain,
% 7.43/5.64 (v143(constB5) | v144(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29591, 29590])).
% 7.43/5.64 tff(29593,plain,
% 7.43/5.64 ((~(v142(constB5) <=> (v143(constB5) | v144(constB5)))) | v142(constB5) | (~(v143(constB5) | v144(constB5)))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29594,plain,
% 7.43/5.64 (v142(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29593, 29592, 29565])).
% 7.43/5.64 tff(29595,plain,
% 7.43/5.64 ((v142(constB5) | v168(constB5)) | (~v142(constB5))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29596,plain,
% 7.43/5.64 (v142(constB5) | v168(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29595, 29594])).
% 7.43/5.64 tff(29597,plain,
% 7.43/5.64 ((~(v167(constB5) <=> (v142(constB5) | v168(constB5)))) | v167(constB5) | (~(v142(constB5) | v168(constB5)))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29598,plain,
% 7.43/5.64 ((~(v167(constB5) <=> (v142(constB5) | v168(constB5)))) | v167(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29597, 29596])).
% 7.43/5.64 tff(29599,plain,
% 7.43/5.64 (v167(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29598, 29563])).
% 7.43/5.64 tff(29600,plain,
% 7.43/5.64 ((v145(constB5) | v167(constB5)) | (~v167(constB5))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29601,plain,
% 7.43/5.64 (v145(constB5) | v167(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29600, 29599])).
% 7.43/5.64 tff(29602,plain,
% 7.43/5.64 ((~(v166(constB5) <=> (v145(constB5) | v167(constB5)))) | v166(constB5) | (~(v145(constB5) | v167(constB5)))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29603,plain,
% 7.43/5.64 (v166(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29602, 29601, 29561])).
% 7.43/5.64 tff(29604,plain,
% 7.43/5.64 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB5)) | (v163(constB5) <=> v170(constB5)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB5)) | (v163(constB5) <=> v170(constB5)))),
% 7.43/5.64 inference(rewrite,[status(thm)],[])).
% 7.43/5.64 tff(29605,plain,
% 7.43/5.64 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB5)) | (v163(constB5) <=> v170(constB5)))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29606,plain,
% 7.43/5.64 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB5)) | (v163(constB5) <=> v170(constB5))),
% 7.43/5.64 inference(modus_ponens,[status(thm)],[29605, 29604])).
% 7.43/5.64 tff(29607,plain,
% 7.43/5.64 ((~v166(constB5)) | (v163(constB5) <=> v170(constB5))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29606, 15777])).
% 7.43/5.64 tff(29608,plain,
% 7.43/5.64 (v163(constB5) <=> v170(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29607, 29603])).
% 7.43/5.64 tff(29609,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB5) <=> (~(v88(constB5, 0) | v88(constB5, 1) | v88(constB5, 2))))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29610,plain,
% 7.43/5.64 (v139(constB5) <=> (~(v88(constB5, 0) | v88(constB5, 1) | v88(constB5, 2)))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29609, 15795])).
% 7.43/5.64 tff(29611,plain,
% 7.43/5.64 ((v88(constB5, 0) | v88(constB5, 1) | v88(constB5, 2)) | (~v88(constB5, 2))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29612,plain,
% 7.43/5.64 (v88(constB5, 0) | v88(constB5, 1) | v88(constB5, 2)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29611, 29578])).
% 7.43/5.64 tff(29613,plain,
% 7.43/5.64 ((~(v139(constB5) <=> (~(v88(constB5, 0) | v88(constB5, 1) | v88(constB5, 2))))) | (~v139(constB5)) | (~(v88(constB5, 0) | v88(constB5, 1) | v88(constB5, 2)))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29614,plain,
% 7.43/5.64 (~v139(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29613, 29612, 29610])).
% 7.43/5.64 tff(29615,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB5) <=> (~(v88(constB5, 1) | v88(constB5, 2) | (~v88(constB5, 0)))))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29616,plain,
% 7.43/5.64 (v140(constB5) <=> (~(v88(constB5, 1) | v88(constB5, 2) | (~v88(constB5, 0))))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29615, 15814])).
% 7.43/5.64 tff(29617,plain,
% 7.43/5.64 ((v88(constB5, 1) | v88(constB5, 2) | (~v88(constB5, 0))) | (~v88(constB5, 2))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29618,plain,
% 7.43/5.64 (v88(constB5, 1) | v88(constB5, 2) | (~v88(constB5, 0))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29617, 29578])).
% 7.43/5.64 tff(29619,plain,
% 7.43/5.64 ((~(v140(constB5) <=> (~(v88(constB5, 1) | v88(constB5, 2) | (~v88(constB5, 0)))))) | (~v140(constB5)) | (~(v88(constB5, 1) | v88(constB5, 2) | (~v88(constB5, 0))))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29620,plain,
% 7.43/5.64 (~v140(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29619, 29618, 29616])).
% 7.43/5.64 tff(29621,plain,
% 7.43/5.64 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB5) | v139(constB5) | (~v170(constB5)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB5) | v139(constB5) | (~v170(constB5)))),
% 7.43/5.64 inference(rewrite,[status(thm)],[])).
% 7.43/5.64 tff(29622,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB5) | v139(constB5) | (~v170(constB5)))),
% 7.43/5.64 inference(quant_inst,[status(thm)],[])).
% 7.43/5.64 tff(29623,plain,
% 7.43/5.64 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB5) | v139(constB5) | (~v170(constB5))),
% 7.43/5.64 inference(modus_ponens,[status(thm)],[29622, 29621])).
% 7.43/5.64 tff(29624,plain,
% 7.43/5.64 (v140(constB5) | v139(constB5) | (~v170(constB5))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29623, 15833])).
% 7.43/5.64 tff(29625,plain,
% 7.43/5.64 (~v170(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29624, 29620, 29614])).
% 7.43/5.64 tff(29626,plain,
% 7.43/5.64 ((~(v163(constB5) <=> v170(constB5))) | (~v163(constB5)) | v170(constB5)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29627,plain,
% 7.43/5.64 ((~(v163(constB5) <=> v170(constB5))) | (~v163(constB5))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29626, 29625])).
% 7.43/5.64 tff(29628,plain,
% 7.43/5.64 (~v163(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29627, 29608])).
% 7.43/5.64 tff(29629,plain,
% 7.43/5.64 ((~(v161(constB5) <=> v163(constB5))) | (~v161(constB5)) | v163(constB5)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29630,plain,
% 7.43/5.64 ((~(v161(constB5) <=> v163(constB5))) | (~v161(constB5))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29629, 29628])).
% 7.43/5.64 tff(29631,plain,
% 7.43/5.64 (~v161(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29630, 29559])).
% 7.43/5.64 tff(29632,plain,
% 7.43/5.64 (((~v185(constB5)) | (~v161(constB5))) | v161(constB5)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29633,plain,
% 7.43/5.64 ((~v185(constB5)) | (~v161(constB5))),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29632, 29631])).
% 7.43/5.64 tff(29634,plain,
% 7.43/5.64 ((~(v184(constB5) <=> (~((~v185(constB5)) | (~v161(constB5)))))) | (~v184(constB5)) | (~((~v185(constB5)) | (~v161(constB5))))),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29635,plain,
% 7.43/5.64 (~v184(constB5)),
% 7.43/5.64 inference(unit_resolution,[status(thm)],[29634, 29633, 29557])).
% 7.43/5.64 tff(29636,plain,
% 7.43/5.64 (((~v183(constB5)) | (~v184(constB5))) | v184(constB5)),
% 7.43/5.64 inference(tautology,[status(thm)],[])).
% 7.43/5.64 tff(29637,plain,
% 7.43/5.64 ((~v183(constB5)) | (~v184(constB5))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29636, 29635])).
% 7.43/5.65 tff(29638,plain,
% 7.43/5.65 ((~(v180(constB5) <=> (~((~v183(constB5)) | (~v184(constB5)))))) | (~v180(constB5)) | (~((~v183(constB5)) | (~v184(constB5))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29639,plain,
% 7.43/5.65 (~v180(constB5)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29638, 29637, 29555])).
% 7.43/5.65 tff(29640,plain,
% 7.43/5.65 ((~(v182(constB6) <=> v180(constB5))) | (~v182(constB6)) | v180(constB5)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29641,plain,
% 7.43/5.65 (~v182(constB6)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29640, 29639, 29553])).
% 7.43/5.65 tff(29642,plain,
% 7.43/5.65 ((~(v159(constB6) <=> v182(constB6))) | (~v159(constB6)) | v182(constB6)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29643,plain,
% 7.43/5.65 (~v159(constB6)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29642, 29641, 29549])).
% 7.43/5.65 tff(29644,plain,
% 7.43/5.65 (((~v159(constB6)) | (~v194(constB6))) | v159(constB6)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29645,plain,
% 7.43/5.65 ((~v159(constB6)) | (~v194(constB6))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29644, 29643])).
% 7.43/5.65 tff(29646,plain,
% 7.43/5.65 ((~(v196(constB6) <=> (~((~v159(constB6)) | (~v194(constB6)))))) | (~v196(constB6)) | (~((~v159(constB6)) | (~v194(constB6))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29647,plain,
% 7.43/5.65 (~v196(constB6)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29646, 29645, 29547])).
% 7.43/5.65 tff(29648,plain,
% 7.43/5.65 ((~(v193(constB6) | v196(constB6))) | v193(constB6) | v196(constB6)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29649,plain,
% 7.43/5.65 (~(v193(constB6) | v196(constB6))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29648, 29647, 29540])).
% 7.43/5.65 tff(29650,plain,
% 7.43/5.65 ((~(v190(constB6) <=> (v193(constB6) | v196(constB6)))) | (~v190(constB6)) | (v193(constB6) | v196(constB6))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29651,plain,
% 7.43/5.65 (~v190(constB6)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29650, 29649, 29394])).
% 7.43/5.65 tff(29652,plain,
% 7.43/5.65 ((~(v192(constB7) <=> v190(constB6))) | (~v192(constB7)) | v190(constB6)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29653,plain,
% 7.43/5.65 (~v192(constB7)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29652, 29651, 29392])).
% 7.43/5.65 tff(29654,plain,
% 7.43/5.65 ((~(v157(constB7) <=> v192(constB7))) | (~v157(constB7)) | v192(constB7)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29655,plain,
% 7.43/5.65 (~v157(constB7)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29654, 29653, 29388])).
% 7.43/5.65 tff(29656,plain,
% 7.43/5.65 (((~v157(constB7)) | (~v202(constB7))) | v157(constB7)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29657,plain,
% 7.43/5.65 ((~v157(constB7)) | (~v202(constB7))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29656, 29655])).
% 7.43/5.65 tff(29658,plain,
% 7.43/5.65 ((~(v201(constB7) <=> (~((~v157(constB7)) | (~v202(constB7)))))) | (~v201(constB7)) | (~((~v157(constB7)) | (~v202(constB7))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29659,plain,
% 7.43/5.65 (~v201(constB7)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29658, 29657, 29386])).
% 7.43/5.65 tff(29660,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB7) <=> (~((~v159(constB7)) | (~v202(constB7)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB7) <=> (~((~v159(constB7)) | (~v202(constB7))))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29661,plain,
% 7.43/5.65 ((v205(constB7) <=> (~((~v202(constB7)) | (~v159(constB7))))) <=> (v205(constB7) <=> (~((~v159(constB7)) | (~v202(constB7)))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29662,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB7) <=> (~((~v202(constB7)) | (~v159(constB7)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB7) <=> (~((~v159(constB7)) | (~v202(constB7))))))),
% 7.43/5.65 inference(monotonicity,[status(thm)],[29661])).
% 7.43/5.65 tff(29663,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB7) <=> (~((~v202(constB7)) | (~v159(constB7)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB7) <=> (~((~v159(constB7)) | (~v202(constB7))))))),
% 7.43/5.65 inference(transitivity,[status(thm)],[29662, 29660])).
% 7.43/5.65 tff(29664,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB7) <=> (~((~v202(constB7)) | (~v159(constB7)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29665,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB7) <=> (~((~v159(constB7)) | (~v202(constB7)))))),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[29664, 29663])).
% 7.43/5.65 tff(29666,plain,
% 7.43/5.65 (v205(constB7) <=> (~((~v159(constB7)) | (~v202(constB7))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29665, 138])).
% 7.43/5.65 tff(29667,plain,
% 7.43/5.65 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB7) <=> v182(constB7))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29668,plain,
% 7.43/5.65 (v159(constB7) <=> v182(constB7)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29667, 15113])).
% 7.43/5.65 tff(29669,plain,
% 7.43/5.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB6, constB7)) | (v182(constB7) <=> v180(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB6, constB7)) | (v182(constB7) <=> v180(constB6)))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29670,plain,
% 7.43/5.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB6, constB7)) | (v182(constB7) <=> v180(constB6)))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29671,plain,
% 7.43/5.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB6, constB7)) | (v182(constB7) <=> v180(constB6))),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[29670, 29669])).
% 7.43/5.65 tff(29672,plain,
% 7.43/5.65 (v182(constB7) <=> v180(constB6)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29671, 4314, 15125])).
% 7.43/5.65 tff(29673,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB6) <=> (~((~v183(constB6)) | (~v184(constB6)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29674,plain,
% 7.43/5.65 (v180(constB6) <=> (~((~v183(constB6)) | (~v184(constB6))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29673, 15139])).
% 7.43/5.65 tff(29675,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB6) <=> (~((~v185(constB6)) | (~v161(constB6)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29676,plain,
% 7.43/5.65 (v184(constB6) <=> (~((~v185(constB6)) | (~v161(constB6))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29675, 15151])).
% 7.43/5.65 tff(29677,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29678,plain,
% 7.43/5.65 (v185(constB6) <=> (~((~v39(constB6)) | (~v9(constB6))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29677, 93])).
% 7.43/5.65 tff(29679,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB6)) <=> v1(constB6))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29680,plain,
% 7.43/5.65 ((~v39(constB6)) <=> v1(constB6)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29679, 102])).
% 7.43/5.65 tff(29681,plain,
% 7.43/5.65 ((~((~v39(constB6)) <=> v1(constB6))) | (~v39(constB6)) | (~v1(constB6))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29682,plain,
% 7.43/5.65 ((~((~v39(constB6)) <=> v1(constB6))) | (~v39(constB6))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29681, 5103])).
% 7.43/5.65 tff(29683,plain,
% 7.43/5.65 (~v39(constB6)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29682, 29680])).
% 7.43/5.65 tff(29684,plain,
% 7.43/5.65 (((~v39(constB6)) | (~v9(constB6))) | v39(constB6)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29685,plain,
% 7.43/5.65 ((~v39(constB6)) | (~v9(constB6))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29684, 29683])).
% 7.43/5.65 tff(29686,plain,
% 7.43/5.65 ((~(v185(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))) | (~v185(constB6)) | (~((~v39(constB6)) | (~v9(constB6))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29687,plain,
% 7.43/5.65 ((~(v185(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))) | (~v185(constB6))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29686, 29685])).
% 7.43/5.65 tff(29688,plain,
% 7.43/5.65 (~v185(constB6)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29687, 29678])).
% 7.43/5.65 tff(29689,plain,
% 7.43/5.65 (((~v185(constB6)) | (~v161(constB6))) | v185(constB6)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29690,plain,
% 7.43/5.65 ((~v185(constB6)) | (~v161(constB6))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29689, 29688])).
% 7.43/5.65 tff(29691,plain,
% 7.43/5.65 ((~(v184(constB6) <=> (~((~v185(constB6)) | (~v161(constB6)))))) | (~v184(constB6)) | (~((~v185(constB6)) | (~v161(constB6))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29692,plain,
% 7.43/5.65 ((~(v184(constB6) <=> (~((~v185(constB6)) | (~v161(constB6)))))) | (~v184(constB6))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29691, 29690])).
% 7.43/5.65 tff(29693,plain,
% 7.43/5.65 (~v184(constB6)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29692, 29676])).
% 7.43/5.65 tff(29694,plain,
% 7.43/5.65 (((~v183(constB6)) | (~v184(constB6))) | v184(constB6)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29695,plain,
% 7.43/5.65 ((~v183(constB6)) | (~v184(constB6))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29694, 29693])).
% 7.43/5.65 tff(29696,plain,
% 7.43/5.65 ((~(v180(constB6) <=> (~((~v183(constB6)) | (~v184(constB6)))))) | (~v180(constB6)) | (~((~v183(constB6)) | (~v184(constB6))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29697,plain,
% 7.43/5.65 (~v180(constB6)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29696, 29695, 29674])).
% 7.43/5.65 tff(29698,plain,
% 7.43/5.65 ((~(v182(constB7) <=> v180(constB6))) | (~v182(constB7)) | v180(constB6)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29699,plain,
% 7.43/5.65 (~v182(constB7)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29698, 29697, 29672])).
% 7.43/5.65 tff(29700,plain,
% 7.43/5.65 ((~(v159(constB7) <=> v182(constB7))) | (~v159(constB7)) | v182(constB7)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29701,plain,
% 7.43/5.65 (~v159(constB7)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29700, 29699, 29668])).
% 7.43/5.65 tff(29702,plain,
% 7.43/5.65 (((~v159(constB7)) | (~v202(constB7))) | v159(constB7)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29703,plain,
% 7.43/5.65 ((~v159(constB7)) | (~v202(constB7))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29702, 29701])).
% 7.43/5.65 tff(29704,plain,
% 7.43/5.65 ((~(v205(constB7) <=> (~((~v159(constB7)) | (~v202(constB7)))))) | (~v205(constB7)) | (~((~v159(constB7)) | (~v202(constB7))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29705,plain,
% 7.43/5.65 (~v205(constB7)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29704, 29703, 29666])).
% 7.43/5.65 tff(29706,plain,
% 7.43/5.65 ((~(v201(constB7) | v205(constB7))) | v201(constB7) | v205(constB7)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29707,plain,
% 7.43/5.65 ((~(v201(constB7) | v205(constB7))) | v201(constB7)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29706, 29705])).
% 7.43/5.65 tff(29708,plain,
% 7.43/5.65 (~(v201(constB7) | v205(constB7))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29707, 29659])).
% 7.43/5.65 tff(29709,plain,
% 7.43/5.65 ((~(v200(constB7) <=> (v201(constB7) | v205(constB7)))) | (~v200(constB7)) | (v201(constB7) | v205(constB7))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29710,plain,
% 7.43/5.65 (~v200(constB7)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29709, 29708, 29379])).
% 7.43/5.65 tff(29711,plain,
% 7.43/5.65 ($false),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29710, 29377])).
% 7.43/5.65 tff(29712,plain,(~(constB7 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.43/5.65 tff(29713,assumption,(constB102 = VarCurr!0), introduced(assumption)).
% 7.43/5.65 tff(29714,plain,
% 7.43/5.65 (v200(constB102) <=> v200(VarCurr!0)),
% 7.43/5.65 inference(monotonicity,[status(thm)],[29713])).
% 7.43/5.65 tff(29715,plain,
% 7.43/5.65 (v200(VarCurr!0) <=> v200(constB102)),
% 7.43/5.65 inference(symmetry,[status(thm)],[29714])).
% 7.43/5.65 tff(29716,plain,
% 7.43/5.65 (v200(constB102)),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[27, 29715])).
% 7.43/5.65 tff(29717,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB102) <=> (v201(constB102) | v205(constB102)))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29718,plain,
% 7.43/5.65 (v200(constB102) <=> (v201(constB102) | v205(constB102))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29717, 35])).
% 7.43/5.65 tff(29719,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB102) <=> (~((~v157(constB102)) | (~v202(constB102)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB102) <=> (~((~v157(constB102)) | (~v202(constB102))))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29720,plain,
% 7.43/5.65 ((v201(constB102) <=> (~((~v202(constB102)) | (~v157(constB102))))) <=> (v201(constB102) <=> (~((~v157(constB102)) | (~v202(constB102)))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29721,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB102) <=> (~((~v202(constB102)) | (~v157(constB102)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB102) <=> (~((~v157(constB102)) | (~v202(constB102))))))),
% 7.43/5.65 inference(monotonicity,[status(thm)],[29720])).
% 7.43/5.65 tff(29722,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB102) <=> (~((~v202(constB102)) | (~v157(constB102)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB102) <=> (~((~v157(constB102)) | (~v202(constB102))))))),
% 7.43/5.65 inference(transitivity,[status(thm)],[29721, 29719])).
% 7.43/5.65 tff(29723,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB102) <=> (~((~v202(constB102)) | (~v157(constB102)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29724,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB102) <=> (~((~v157(constB102)) | (~v202(constB102)))))),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[29723, 29722])).
% 7.43/5.65 tff(29725,plain,
% 7.43/5.65 (v201(constB102) <=> (~((~v157(constB102)) | (~v202(constB102))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29724, 47])).
% 7.43/5.65 tff(29726,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB102) <=> (~((~v183(constB102)) | (~v203(constB102)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29727,plain,
% 7.43/5.65 (v202(constB102) <=> (~((~v183(constB102)) | (~v203(constB102))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29726, 64])).
% 7.43/5.65 tff(29728,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB102) <=> (~((~v185(constB102)) | (~v204(constB102)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB102) <=> (~((~v185(constB102)) | (~v204(constB102))))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29729,plain,
% 7.43/5.65 ((v203(constB102) <=> (~((~v204(constB102)) | (~v185(constB102))))) <=> (v203(constB102) <=> (~((~v185(constB102)) | (~v204(constB102)))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29730,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB102) <=> (~((~v204(constB102)) | (~v185(constB102)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB102) <=> (~((~v185(constB102)) | (~v204(constB102))))))),
% 7.43/5.65 inference(monotonicity,[status(thm)],[29729])).
% 7.43/5.65 tff(29731,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB102) <=> (~((~v204(constB102)) | (~v185(constB102)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB102) <=> (~((~v185(constB102)) | (~v204(constB102))))))),
% 7.43/5.65 inference(transitivity,[status(thm)],[29730, 29728])).
% 7.43/5.65 tff(29732,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB102) <=> (~((~v204(constB102)) | (~v185(constB102)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29733,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB102) <=> (~((~v185(constB102)) | (~v204(constB102)))))),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[29732, 29731])).
% 7.43/5.65 tff(29734,plain,
% 7.43/5.65 (v203(constB102) <=> (~((~v185(constB102)) | (~v204(constB102))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29733, 76])).
% 7.43/5.65 tff(29735,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB102) <=> (~((~v39(constB102)) | (~v9(constB102)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29736,plain,
% 7.43/5.65 (v185(constB102) <=> (~((~v39(constB102)) | (~v9(constB102))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29735, 93])).
% 7.43/5.65 tff(29737,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB102)) <=> v1(constB102))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29738,plain,
% 7.43/5.65 ((~v39(constB102)) <=> v1(constB102)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29737, 102])).
% 7.43/5.65 tff(29739,plain,
% 7.43/5.65 ((~((~v39(constB102)) <=> v1(constB102))) | (~v39(constB102)) | (~v1(constB102))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29740,plain,
% 7.43/5.65 ((~((~v39(constB102)) <=> v1(constB102))) | (~v39(constB102))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29739, 12823])).
% 7.43/5.65 tff(29741,plain,
% 7.43/5.65 (~v39(constB102)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29740, 29738])).
% 7.43/5.65 tff(29742,plain,
% 7.43/5.65 (((~v39(constB102)) | (~v9(constB102))) | v39(constB102)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29743,plain,
% 7.43/5.65 ((~v39(constB102)) | (~v9(constB102))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29742, 29741])).
% 7.43/5.65 tff(29744,plain,
% 7.43/5.65 ((~(v185(constB102) <=> (~((~v39(constB102)) | (~v9(constB102)))))) | (~v185(constB102)) | (~((~v39(constB102)) | (~v9(constB102))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29745,plain,
% 7.43/5.65 ((~(v185(constB102) <=> (~((~v39(constB102)) | (~v9(constB102)))))) | (~v185(constB102))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29744, 29743])).
% 7.43/5.65 tff(29746,plain,
% 7.43/5.65 (~v185(constB102)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29745, 29736])).
% 7.43/5.65 tff(29747,plain,
% 7.43/5.65 (((~v185(constB102)) | (~v204(constB102))) | v185(constB102)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29748,plain,
% 7.43/5.65 ((~v185(constB102)) | (~v204(constB102))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29747, 29746])).
% 7.43/5.65 tff(29749,plain,
% 7.43/5.65 ((~(v203(constB102) <=> (~((~v185(constB102)) | (~v204(constB102)))))) | (~v203(constB102)) | (~((~v185(constB102)) | (~v204(constB102))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29750,plain,
% 7.43/5.65 ((~(v203(constB102) <=> (~((~v185(constB102)) | (~v204(constB102)))))) | (~v203(constB102))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29749, 29748])).
% 7.43/5.65 tff(29751,plain,
% 7.43/5.65 (~v203(constB102)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29750, 29734])).
% 7.43/5.65 tff(29752,plain,
% 7.43/5.65 (((~v183(constB102)) | (~v203(constB102))) | v203(constB102)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29753,plain,
% 7.43/5.65 ((~v183(constB102)) | (~v203(constB102))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29752, 29751])).
% 7.43/5.65 tff(29754,plain,
% 7.43/5.65 ((~(v202(constB102) <=> (~((~v183(constB102)) | (~v203(constB102)))))) | (~v202(constB102)) | (~((~v183(constB102)) | (~v203(constB102))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29755,plain,
% 7.43/5.65 (~v202(constB102)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29754, 29753, 29727])).
% 7.43/5.65 tff(29756,plain,
% 7.43/5.65 (((~v157(constB102)) | (~v202(constB102))) | v202(constB102)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29757,plain,
% 7.43/5.65 ((~v157(constB102)) | (~v202(constB102))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29756, 29755])).
% 7.43/5.65 tff(29758,plain,
% 7.43/5.65 ((~(v201(constB102) <=> (~((~v157(constB102)) | (~v202(constB102)))))) | (~v201(constB102)) | (~((~v157(constB102)) | (~v202(constB102))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29759,plain,
% 7.43/5.65 (~v201(constB102)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29758, 29757, 29725])).
% 7.43/5.65 tff(29760,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB102) <=> (~((~v159(constB102)) | (~v202(constB102)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB102) <=> (~((~v159(constB102)) | (~v202(constB102))))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29761,plain,
% 7.43/5.65 ((v205(constB102) <=> (~((~v202(constB102)) | (~v159(constB102))))) <=> (v205(constB102) <=> (~((~v159(constB102)) | (~v202(constB102)))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29762,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB102) <=> (~((~v202(constB102)) | (~v159(constB102)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB102) <=> (~((~v159(constB102)) | (~v202(constB102))))))),
% 7.43/5.65 inference(monotonicity,[status(thm)],[29761])).
% 7.43/5.65 tff(29763,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB102) <=> (~((~v202(constB102)) | (~v159(constB102)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB102) <=> (~((~v159(constB102)) | (~v202(constB102))))))),
% 7.43/5.65 inference(transitivity,[status(thm)],[29762, 29760])).
% 7.43/5.65 tff(29764,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB102) <=> (~((~v202(constB102)) | (~v159(constB102)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29765,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB102) <=> (~((~v159(constB102)) | (~v202(constB102)))))),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[29764, 29763])).
% 7.43/5.65 tff(29766,plain,
% 7.43/5.65 (v205(constB102) <=> (~((~v159(constB102)) | (~v202(constB102))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29765, 138])).
% 7.43/5.65 tff(29767,plain,
% 7.43/5.65 (((~v159(constB102)) | (~v202(constB102))) | v202(constB102)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29768,plain,
% 7.43/5.65 ((~v159(constB102)) | (~v202(constB102))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29767, 29755])).
% 7.43/5.65 tff(29769,plain,
% 7.43/5.65 ((~(v205(constB102) <=> (~((~v159(constB102)) | (~v202(constB102)))))) | (~v205(constB102)) | (~((~v159(constB102)) | (~v202(constB102))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29770,plain,
% 7.43/5.65 (~v205(constB102)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29769, 29768, 29766])).
% 7.43/5.65 tff(29771,plain,
% 7.43/5.65 ((~(v201(constB102) | v205(constB102))) | v201(constB102) | v205(constB102)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29772,plain,
% 7.43/5.65 (~(v201(constB102) | v205(constB102))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29771, 29770, 29759])).
% 7.43/5.65 tff(29773,plain,
% 7.43/5.65 ((~(v200(constB102) <=> (v201(constB102) | v205(constB102)))) | (~v200(constB102)) | (v201(constB102) | v205(constB102))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29774,plain,
% 7.43/5.65 ((~(v200(constB102) <=> (v201(constB102) | v205(constB102)))) | (~v200(constB102))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29773, 29772])).
% 7.43/5.65 tff(29775,plain,
% 7.43/5.65 (~v200(constB102)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29774, 29718])).
% 7.43/5.65 tff(29776,plain,
% 7.43/5.65 ($false),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29775, 29716])).
% 7.43/5.65 tff(29777,plain,(~(constB102 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.43/5.65 tff(29778,assumption,(constB163 = VarCurr!0), introduced(assumption)).
% 7.43/5.65 tff(29779,plain,
% 7.43/5.65 (v200(constB163) <=> v200(VarCurr!0)),
% 7.43/5.65 inference(monotonicity,[status(thm)],[29778])).
% 7.43/5.65 tff(29780,plain,
% 7.43/5.65 (v200(VarCurr!0) <=> v200(constB163)),
% 7.43/5.65 inference(symmetry,[status(thm)],[29779])).
% 7.43/5.65 tff(29781,plain,
% 7.43/5.65 (v200(constB163)),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[27, 29780])).
% 7.43/5.65 tff(29782,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB163) <=> (v201(constB163) | v205(constB163)))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29783,plain,
% 7.43/5.65 (v200(constB163) <=> (v201(constB163) | v205(constB163))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29782, 35])).
% 7.43/5.65 tff(29784,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB163) <=> (~((~v157(constB163)) | (~v202(constB163)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB163) <=> (~((~v157(constB163)) | (~v202(constB163))))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29785,plain,
% 7.43/5.65 ((v201(constB163) <=> (~((~v202(constB163)) | (~v157(constB163))))) <=> (v201(constB163) <=> (~((~v157(constB163)) | (~v202(constB163)))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29786,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB163) <=> (~((~v202(constB163)) | (~v157(constB163)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB163) <=> (~((~v157(constB163)) | (~v202(constB163))))))),
% 7.43/5.65 inference(monotonicity,[status(thm)],[29785])).
% 7.43/5.65 tff(29787,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB163) <=> (~((~v202(constB163)) | (~v157(constB163)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB163) <=> (~((~v157(constB163)) | (~v202(constB163))))))),
% 7.43/5.65 inference(transitivity,[status(thm)],[29786, 29784])).
% 7.43/5.65 tff(29788,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB163) <=> (~((~v202(constB163)) | (~v157(constB163)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29789,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB163) <=> (~((~v157(constB163)) | (~v202(constB163)))))),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[29788, 29787])).
% 7.43/5.65 tff(29790,plain,
% 7.43/5.65 (v201(constB163) <=> (~((~v157(constB163)) | (~v202(constB163))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29789, 47])).
% 7.43/5.65 tff(29791,plain,
% 7.43/5.65 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB163) <=> v192(constB163))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29792,plain,
% 7.43/5.65 (v157(constB163) <=> v192(constB163)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29791, 15407])).
% 7.43/5.65 tff(29793,plain,
% 7.43/5.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB162, constB163)) | (v192(constB163) <=> v190(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB162, constB163)) | (v192(constB163) <=> v190(constB162)))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29794,plain,
% 7.43/5.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB162, constB163)) | (v192(constB163) <=> v190(constB162)))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29795,plain,
% 7.43/5.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB162, constB163)) | (v192(constB163) <=> v190(constB162))),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[29794, 29793])).
% 7.43/5.65 tff(29796,plain,
% 7.43/5.65 (v192(constB163) <=> v190(constB162)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29795, 17496, 15419])).
% 7.43/5.65 tff(29797,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB162) <=> (v193(constB162) | v196(constB162)))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29798,plain,
% 7.43/5.65 (v190(constB162) <=> (v193(constB162) | v196(constB162))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29797, 15430])).
% 7.43/5.65 tff(29799,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB162) <=> (~((~v157(constB162)) | (~v194(constB162)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB162) <=> (~((~v157(constB162)) | (~v194(constB162))))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29800,plain,
% 7.43/5.65 ((v193(constB162) <=> (~((~v194(constB162)) | (~v157(constB162))))) <=> (v193(constB162) <=> (~((~v157(constB162)) | (~v194(constB162)))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29801,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB162) <=> (~((~v194(constB162)) | (~v157(constB162)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB162) <=> (~((~v157(constB162)) | (~v194(constB162))))))),
% 7.43/5.65 inference(monotonicity,[status(thm)],[29800])).
% 7.43/5.65 tff(29802,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB162) <=> (~((~v194(constB162)) | (~v157(constB162)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB162) <=> (~((~v157(constB162)) | (~v194(constB162))))))),
% 7.43/5.65 inference(transitivity,[status(thm)],[29801, 29799])).
% 7.43/5.65 tff(29803,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB162) <=> (~((~v194(constB162)) | (~v157(constB162)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29804,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB162) <=> (~((~v157(constB162)) | (~v194(constB162)))))),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[29803, 29802])).
% 7.43/5.65 tff(29805,plain,
% 7.43/5.65 (v193(constB162) <=> (~((~v157(constB162)) | (~v194(constB162))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29804, 15442])).
% 7.43/5.65 tff(29806,plain,
% 7.43/5.65 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB162) <=> v192(constB162))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29807,plain,
% 7.43/5.65 (v157(constB162) <=> v192(constB162)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29806, 15407])).
% 7.43/5.65 tff(29808,plain,
% 7.43/5.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB161, constB162)) | (v192(constB162) <=> v190(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB161, constB162)) | (v192(constB162) <=> v190(constB161)))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29809,plain,
% 7.43/5.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB161, constB162)) | (v192(constB162) <=> v190(constB161)))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29810,plain,
% 7.43/5.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB161, constB162)) | (v192(constB162) <=> v190(constB161))),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[29809, 29808])).
% 7.43/5.65 tff(29811,plain,
% 7.43/5.65 (v192(constB162) <=> v190(constB161)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29810, 17532, 15419])).
% 7.43/5.65 tff(29812,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB161) <=> (v193(constB161) | v196(constB161)))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29813,plain,
% 7.43/5.65 (v190(constB161) <=> (v193(constB161) | v196(constB161))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29812, 15430])).
% 7.43/5.65 tff(29814,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB161) <=> (~((~v159(constB161)) | (~v194(constB161)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB161) <=> (~((~v159(constB161)) | (~v194(constB161))))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29815,plain,
% 7.43/5.65 ((v196(constB161) <=> (~((~v194(constB161)) | (~v159(constB161))))) <=> (v196(constB161) <=> (~((~v159(constB161)) | (~v194(constB161)))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29816,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB161) <=> (~((~v194(constB161)) | (~v159(constB161)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB161) <=> (~((~v159(constB161)) | (~v194(constB161))))))),
% 7.43/5.65 inference(monotonicity,[status(thm)],[29815])).
% 7.43/5.65 tff(29817,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB161) <=> (~((~v194(constB161)) | (~v159(constB161)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB161) <=> (~((~v159(constB161)) | (~v194(constB161))))))),
% 7.43/5.65 inference(transitivity,[status(thm)],[29816, 29814])).
% 7.43/5.65 tff(29818,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB161) <=> (~((~v194(constB161)) | (~v159(constB161)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29819,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB161) <=> (~((~v159(constB161)) | (~v194(constB161)))))),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[29818, 29817])).
% 7.43/5.65 tff(29820,plain,
% 7.43/5.65 (v196(constB161) <=> (~((~v159(constB161)) | (~v194(constB161))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29819, 15467])).
% 7.43/5.65 tff(29821,plain,
% 7.43/5.65 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB161) <=> v182(constB161))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29822,plain,
% 7.43/5.65 (v159(constB161) <=> v182(constB161)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29821, 15113])).
% 7.43/5.65 tff(29823,plain,
% 7.43/5.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB160, constB161)) | (v182(constB161) <=> v180(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB160, constB161)) | (v182(constB161) <=> v180(constB160)))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29824,plain,
% 7.43/5.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB160, constB161)) | (v182(constB161) <=> v180(constB160)))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29825,plain,
% 7.43/5.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB160, constB161)) | (v182(constB161) <=> v180(constB160))),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[29824, 29823])).
% 7.43/5.65 tff(29826,plain,
% 7.43/5.65 (v182(constB161) <=> v180(constB160)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29825, 17562, 15125])).
% 7.43/5.65 tff(29827,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB160) <=> (~((~v183(constB160)) | (~v184(constB160)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29828,plain,
% 7.43/5.65 (v180(constB160) <=> (~((~v183(constB160)) | (~v184(constB160))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29827, 15139])).
% 7.43/5.65 tff(29829,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB160) <=> (~((~v185(constB160)) | (~v161(constB160)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29830,plain,
% 7.43/5.65 (v184(constB160) <=> (~((~v185(constB160)) | (~v161(constB160))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29829, 15151])).
% 7.43/5.65 tff(29831,plain,
% 7.43/5.65 (((~v185(constB160)) | (~v161(constB160))) | v185(constB160)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29832,plain,
% 7.43/5.65 ((~v185(constB160)) | (~v161(constB160))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29831, 27611])).
% 7.43/5.65 tff(29833,plain,
% 7.43/5.65 ((~(v184(constB160) <=> (~((~v185(constB160)) | (~v161(constB160)))))) | (~v184(constB160)) | (~((~v185(constB160)) | (~v161(constB160))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29834,plain,
% 7.43/5.65 ((~(v184(constB160) <=> (~((~v185(constB160)) | (~v161(constB160)))))) | (~v184(constB160))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29833, 29832])).
% 7.43/5.65 tff(29835,plain,
% 7.43/5.65 (~v184(constB160)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29834, 29830])).
% 7.43/5.65 tff(29836,plain,
% 7.43/5.65 (((~v183(constB160)) | (~v184(constB160))) | v184(constB160)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29837,plain,
% 7.43/5.65 ((~v183(constB160)) | (~v184(constB160))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29836, 29835])).
% 7.43/5.65 tff(29838,plain,
% 7.43/5.65 ((~(v180(constB160) <=> (~((~v183(constB160)) | (~v184(constB160)))))) | (~v180(constB160)) | (~((~v183(constB160)) | (~v184(constB160))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29839,plain,
% 7.43/5.65 (~v180(constB160)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29838, 29837, 29828])).
% 7.43/5.65 tff(29840,plain,
% 7.43/5.65 ((~(v182(constB161) <=> v180(constB160))) | (~v182(constB161)) | v180(constB160)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29841,plain,
% 7.43/5.65 (~v182(constB161)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29840, 29839, 29826])).
% 7.43/5.65 tff(29842,plain,
% 7.43/5.65 ((~(v159(constB161) <=> v182(constB161))) | (~v159(constB161)) | v182(constB161)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29843,plain,
% 7.43/5.65 (~v159(constB161)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29842, 29841, 29822])).
% 7.43/5.65 tff(29844,plain,
% 7.43/5.65 (((~v159(constB161)) | (~v194(constB161))) | v159(constB161)),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29845,plain,
% 7.43/5.65 ((~v159(constB161)) | (~v194(constB161))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29844, 29843])).
% 7.43/5.65 tff(29846,plain,
% 7.43/5.65 ((~(v196(constB161) <=> (~((~v159(constB161)) | (~v194(constB161)))))) | (~v196(constB161)) | (~((~v159(constB161)) | (~v194(constB161))))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29847,plain,
% 7.43/5.65 (~v196(constB161)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29846, 29845, 29820])).
% 7.43/5.65 tff(29848,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB161) <=> (~((~v157(constB161)) | (~v194(constB161)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB161) <=> (~((~v157(constB161)) | (~v194(constB161))))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29849,plain,
% 7.43/5.65 ((v193(constB161) <=> (~((~v194(constB161)) | (~v157(constB161))))) <=> (v193(constB161) <=> (~((~v157(constB161)) | (~v194(constB161)))))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29850,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB161) <=> (~((~v194(constB161)) | (~v157(constB161)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB161) <=> (~((~v157(constB161)) | (~v194(constB161))))))),
% 7.43/5.65 inference(monotonicity,[status(thm)],[29849])).
% 7.43/5.65 tff(29851,plain,
% 7.43/5.65 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB161) <=> (~((~v194(constB161)) | (~v157(constB161)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB161) <=> (~((~v157(constB161)) | (~v194(constB161))))))),
% 7.43/5.65 inference(transitivity,[status(thm)],[29850, 29848])).
% 7.43/5.65 tff(29852,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB161) <=> (~((~v194(constB161)) | (~v157(constB161)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29853,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB161) <=> (~((~v157(constB161)) | (~v194(constB161)))))),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[29852, 29851])).
% 7.43/5.65 tff(29854,plain,
% 7.43/5.65 (v193(constB161) <=> (~((~v157(constB161)) | (~v194(constB161))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29853, 15442])).
% 7.43/5.65 tff(29855,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB161)) <=> v195(constB161))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29856,plain,
% 7.43/5.65 ((~v194(constB161)) <=> v195(constB161)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29855, 15527])).
% 7.43/5.65 tff(29857,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB161) <=> (v185(constB161) | v26(constB161)))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29858,plain,
% 7.43/5.65 (v195(constB161) <=> (v185(constB161) | v26(constB161))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29857, 15536])).
% 7.43/5.65 tff(29859,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB161) <=> (~((~v39(constB161)) | (~v9(constB161)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29860,plain,
% 7.43/5.65 (v185(constB161) <=> (~((~v39(constB161)) | (~v9(constB161))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29859, 93])).
% 7.43/5.65 tff(29861,plain,
% 7.43/5.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB161, constB162)) | (v13(constB162) <=> v9(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB161, constB162)) | (v13(constB162) <=> v9(constB161)))),
% 7.43/5.65 inference(rewrite,[status(thm)],[])).
% 7.43/5.65 tff(29862,plain,
% 7.43/5.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB161, constB162)) | (v13(constB162) <=> v9(constB161)))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29863,plain,
% 7.43/5.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB161, constB162)) | (v13(constB162) <=> v9(constB161))),
% 7.43/5.65 inference(modus_ponens,[status(thm)],[29862, 29861])).
% 7.43/5.65 tff(29864,plain,
% 7.43/5.65 (v13(constB162) <=> v9(constB161)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29863, 17532, 15550])).
% 7.43/5.65 tff(29865,plain,
% 7.43/5.65 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB162) <=> v13(constB162))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29866,plain,
% 7.43/5.65 (v6(constB162) <=> v13(constB162)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29865, 15564])).
% 7.43/5.65 tff(29867,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB162)) <=> v6(constB162))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29868,plain,
% 7.43/5.65 ((~v21(constB162)) <=> v6(constB162)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29867, 15573])).
% 7.43/5.65 tff(29869,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB162) <=> (v20(constB162) | v21(constB162)))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29870,plain,
% 7.43/5.65 (v19(constB162) <=> (v20(constB162) | v21(constB162))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29869, 15582])).
% 7.43/5.65 tff(29871,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162)))))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29872,plain,
% 7.43/5.65 (v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162))))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29871, 15594])).
% 7.43/5.65 tff(29873,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB162)) <=> v18(constB162))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29874,plain,
% 7.43/5.65 ((~v4(constB162)) <=> v18(constB162)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29873, 15603])).
% 7.43/5.65 tff(29875,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB162)),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29876,plain,
% 7.43/5.65 (v4(constB162)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29875, 15612])).
% 7.43/5.65 tff(29877,plain,
% 7.43/5.65 ((~((~v4(constB162)) <=> v18(constB162))) | (~v4(constB162)) | (~v18(constB162))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29878,plain,
% 7.43/5.65 (~v18(constB162)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29877, 29876, 29874])).
% 7.43/5.65 tff(29879,plain,
% 7.43/5.65 ((~(v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162)))))) | v18(constB162) | ((~v19(constB162)) | (~v22(constB162)))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29880,plain,
% 7.43/5.65 ((~v19(constB162)) | (~v22(constB162))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29879, 29878, 29872])).
% 7.43/5.65 tff(29881,plain,
% 7.43/5.65 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB162) <=> (v1(constB162) | v6(constB162)))),
% 7.43/5.65 inference(quant_inst,[status(thm)],[])).
% 7.43/5.65 tff(29882,plain,
% 7.43/5.65 (v22(constB162) <=> (v1(constB162) | v6(constB162))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29881, 15625])).
% 7.43/5.65 tff(29883,plain,
% 7.43/5.65 ((v1(constB162) | v6(constB162)) | (~v1(constB162))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29884,plain,
% 7.43/5.65 (v1(constB162) | v6(constB162)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29883, 21182])).
% 7.43/5.65 tff(29885,plain,
% 7.43/5.65 ((~(v22(constB162) <=> (v1(constB162) | v6(constB162)))) | v22(constB162) | (~(v1(constB162) | v6(constB162)))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29886,plain,
% 7.43/5.65 ((~(v22(constB162) <=> (v1(constB162) | v6(constB162)))) | v22(constB162)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29885, 29884])).
% 7.43/5.65 tff(29887,plain,
% 7.43/5.65 (v22(constB162)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29886, 29882])).
% 7.43/5.65 tff(29888,plain,
% 7.43/5.65 ((~((~v19(constB162)) | (~v22(constB162)))) | (~v19(constB162)) | (~v22(constB162))),
% 7.43/5.65 inference(tautology,[status(thm)],[])).
% 7.43/5.65 tff(29889,plain,
% 7.43/5.65 ((~((~v19(constB162)) | (~v22(constB162)))) | (~v19(constB162))),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29888, 29887])).
% 7.43/5.65 tff(29890,plain,
% 7.43/5.65 (~v19(constB162)),
% 7.43/5.65 inference(unit_resolution,[status(thm)],[29889, 29880])).
% 7.43/5.66 tff(29891,plain,
% 7.43/5.66 ((~(v19(constB162) <=> (v20(constB162) | v21(constB162)))) | v19(constB162) | (~(v20(constB162) | v21(constB162)))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29892,plain,
% 7.43/5.66 (~(v20(constB162) | v21(constB162))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29891, 29890, 29870])).
% 7.43/5.66 tff(29893,plain,
% 7.43/5.66 ((v20(constB162) | v21(constB162)) | (~v21(constB162))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29894,plain,
% 7.43/5.66 (~v21(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29893, 29892])).
% 7.43/5.66 tff(29895,plain,
% 7.43/5.66 ((~((~v21(constB162)) <=> v6(constB162))) | v21(constB162) | v6(constB162)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29896,plain,
% 7.43/5.66 (v6(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29895, 29894, 29868])).
% 7.43/5.66 tff(29897,plain,
% 7.43/5.66 ((~(v6(constB162) <=> v13(constB162))) | (~v6(constB162)) | v13(constB162)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29898,plain,
% 7.43/5.66 (v13(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29897, 29896, 29866])).
% 7.43/5.66 tff(29899,plain,
% 7.43/5.66 ((~(v13(constB162) <=> v9(constB161))) | (~v13(constB162)) | v9(constB161)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29900,plain,
% 7.43/5.66 (v9(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29899, 29898, 29864])).
% 7.43/5.66 tff(29901,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB161)) <=> v1(constB161))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(29902,plain,
% 7.43/5.66 ((~v39(constB161)) <=> v1(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29901, 102])).
% 7.43/5.66 tff(29903,plain,
% 7.43/5.66 ((~((~v39(constB161)) <=> v1(constB161))) | v39(constB161) | v1(constB161)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29904,plain,
% 7.43/5.66 ((~((~v39(constB161)) <=> v1(constB161))) | v39(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29903, 17576])).
% 7.43/5.66 tff(29905,plain,
% 7.43/5.66 (v39(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29904, 29902])).
% 7.43/5.66 tff(29906,plain,
% 7.43/5.66 ((~((~v39(constB161)) | (~v9(constB161)))) | (~v39(constB161)) | (~v9(constB161))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29907,plain,
% 7.43/5.66 ((~((~v39(constB161)) | (~v9(constB161)))) | (~v9(constB161))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29906, 29905])).
% 7.43/5.66 tff(29908,plain,
% 7.43/5.66 (~((~v39(constB161)) | (~v9(constB161)))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29907, 29900])).
% 7.43/5.66 tff(29909,plain,
% 7.43/5.66 ((~(v185(constB161) <=> (~((~v39(constB161)) | (~v9(constB161)))))) | v185(constB161) | ((~v39(constB161)) | (~v9(constB161)))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29910,plain,
% 7.43/5.66 (v185(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29909, 29908, 29860])).
% 7.43/5.66 tff(29911,plain,
% 7.43/5.66 ((v185(constB161) | v26(constB161)) | (~v185(constB161))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29912,plain,
% 7.43/5.66 (v185(constB161) | v26(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29911, 29910])).
% 7.43/5.66 tff(29913,plain,
% 7.43/5.66 ((~(v195(constB161) <=> (v185(constB161) | v26(constB161)))) | v195(constB161) | (~(v185(constB161) | v26(constB161)))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29914,plain,
% 7.43/5.66 (v195(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29913, 29912, 29858])).
% 7.43/5.66 tff(29915,plain,
% 7.43/5.66 ((~((~v194(constB161)) <=> v195(constB161))) | (~v194(constB161)) | (~v195(constB161))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29916,plain,
% 7.43/5.66 (~v194(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29915, 29914, 29856])).
% 7.43/5.66 tff(29917,plain,
% 7.43/5.66 (((~v157(constB161)) | (~v194(constB161))) | v194(constB161)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29918,plain,
% 7.43/5.66 ((~v157(constB161)) | (~v194(constB161))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29917, 29916])).
% 7.43/5.66 tff(29919,plain,
% 7.43/5.66 ((~(v193(constB161) <=> (~((~v157(constB161)) | (~v194(constB161)))))) | (~v193(constB161)) | (~((~v157(constB161)) | (~v194(constB161))))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29920,plain,
% 7.43/5.66 (~v193(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29919, 29918, 29854])).
% 7.43/5.66 tff(29921,plain,
% 7.43/5.66 ((~(v193(constB161) | v196(constB161))) | v193(constB161) | v196(constB161)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29922,plain,
% 7.43/5.66 (~(v193(constB161) | v196(constB161))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29921, 29920, 29847])).
% 7.43/5.66 tff(29923,plain,
% 7.43/5.66 ((~(v190(constB161) <=> (v193(constB161) | v196(constB161)))) | (~v190(constB161)) | (v193(constB161) | v196(constB161))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29924,plain,
% 7.43/5.66 (~v190(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29923, 29922, 29813])).
% 7.43/5.66 tff(29925,plain,
% 7.43/5.66 ((~(v192(constB162) <=> v190(constB161))) | (~v192(constB162)) | v190(constB161)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29926,plain,
% 7.43/5.66 (~v192(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29925, 29924, 29811])).
% 7.43/5.66 tff(29927,plain,
% 7.43/5.66 ((~(v157(constB162) <=> v192(constB162))) | (~v157(constB162)) | v192(constB162)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29928,plain,
% 7.43/5.66 (~v157(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29927, 29926, 29807])).
% 7.43/5.66 tff(29929,plain,
% 7.43/5.66 (((~v157(constB162)) | (~v194(constB162))) | v157(constB162)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29930,plain,
% 7.43/5.66 ((~v157(constB162)) | (~v194(constB162))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29929, 29928])).
% 7.43/5.66 tff(29931,plain,
% 7.43/5.66 ((~(v193(constB162) <=> (~((~v157(constB162)) | (~v194(constB162)))))) | (~v193(constB162)) | (~((~v157(constB162)) | (~v194(constB162))))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29932,plain,
% 7.43/5.66 (~v193(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29931, 29930, 29805])).
% 7.43/5.66 tff(29933,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB162) <=> (~((~v159(constB162)) | (~v194(constB162)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB162) <=> (~((~v159(constB162)) | (~v194(constB162))))))),
% 7.43/5.66 inference(rewrite,[status(thm)],[])).
% 7.43/5.66 tff(29934,plain,
% 7.43/5.66 ((v196(constB162) <=> (~((~v194(constB162)) | (~v159(constB162))))) <=> (v196(constB162) <=> (~((~v159(constB162)) | (~v194(constB162)))))),
% 7.43/5.66 inference(rewrite,[status(thm)],[])).
% 7.43/5.66 tff(29935,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB162) <=> (~((~v194(constB162)) | (~v159(constB162)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB162) <=> (~((~v159(constB162)) | (~v194(constB162))))))),
% 7.43/5.66 inference(monotonicity,[status(thm)],[29934])).
% 7.43/5.66 tff(29936,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB162) <=> (~((~v194(constB162)) | (~v159(constB162)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB162) <=> (~((~v159(constB162)) | (~v194(constB162))))))),
% 7.43/5.66 inference(transitivity,[status(thm)],[29935, 29933])).
% 7.43/5.66 tff(29937,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB162) <=> (~((~v194(constB162)) | (~v159(constB162)))))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(29938,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB162) <=> (~((~v159(constB162)) | (~v194(constB162)))))),
% 7.43/5.66 inference(modus_ponens,[status(thm)],[29937, 29936])).
% 7.43/5.66 tff(29939,plain,
% 7.43/5.66 (v196(constB162) <=> (~((~v159(constB162)) | (~v194(constB162))))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29938, 15467])).
% 7.43/5.66 tff(29940,plain,
% 7.43/5.66 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB162) <=> v182(constB162))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(29941,plain,
% 7.43/5.66 (v159(constB162) <=> v182(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29940, 15113])).
% 7.43/5.66 tff(29942,plain,
% 7.43/5.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB161, constB162)) | (v182(constB162) <=> v180(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB161, constB162)) | (v182(constB162) <=> v180(constB161)))),
% 7.43/5.66 inference(rewrite,[status(thm)],[])).
% 7.43/5.66 tff(29943,plain,
% 7.43/5.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB161, constB162)) | (v182(constB162) <=> v180(constB161)))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(29944,plain,
% 7.43/5.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB161, constB162)) | (v182(constB162) <=> v180(constB161))),
% 7.43/5.66 inference(modus_ponens,[status(thm)],[29943, 29942])).
% 7.43/5.66 tff(29945,plain,
% 7.43/5.66 (v182(constB162) <=> v180(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29944, 17532, 15125])).
% 7.43/5.66 tff(29946,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB161) <=> (~((~v183(constB161)) | (~v184(constB161)))))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(29947,plain,
% 7.43/5.66 (v180(constB161) <=> (~((~v183(constB161)) | (~v184(constB161))))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29946, 15139])).
% 7.43/5.66 tff(29948,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB161) <=> (~((~v185(constB161)) | (~v161(constB161)))))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(29949,plain,
% 7.43/5.66 (v184(constB161) <=> (~((~v185(constB161)) | (~v161(constB161))))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29948, 15151])).
% 7.43/5.66 tff(29950,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB161) <=> v163(constB161))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(29951,plain,
% 7.43/5.66 (v161(constB161) <=> v163(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29950, 15701])).
% 7.43/5.66 tff(29952,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB161) <=> (v145(constB161) | v167(constB161)))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(29953,plain,
% 7.43/5.66 (v166(constB161) <=> (v145(constB161) | v167(constB161))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29952, 15713])).
% 7.43/5.66 tff(29954,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB161) <=> (v142(constB161) | v168(constB161)))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(29955,plain,
% 7.43/5.66 (v167(constB161) <=> (v142(constB161) | v168(constB161))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29954, 15725])).
% 7.43/5.66 tff(29956,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB161) <=> (v141(constB161) | v169(constB161)))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(29957,plain,
% 7.43/5.66 (v168(constB161) <=> (v141(constB161) | v169(constB161))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29956, 26253])).
% 7.43/5.66 tff(29958,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB161) <=> (~((~v88(constB161, 1)) | v88(constB161, 2) | (~v88(constB161, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB161) <=> (~((~v88(constB161, 1)) | v88(constB161, 2) | (~v88(constB161, 0))))))),
% 7.43/5.66 inference(rewrite,[status(thm)],[])).
% 7.43/5.66 tff(29959,plain,
% 7.43/5.66 ((v141(constB161) <=> (~(v88(constB161, 2) | (~v88(constB161, 1)) | (~v88(constB161, 0))))) <=> (v141(constB161) <=> (~((~v88(constB161, 1)) | v88(constB161, 2) | (~v88(constB161, 0)))))),
% 7.43/5.66 inference(rewrite,[status(thm)],[])).
% 7.43/5.66 tff(29960,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB161) <=> (~(v88(constB161, 2) | (~v88(constB161, 1)) | (~v88(constB161, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB161) <=> (~((~v88(constB161, 1)) | v88(constB161, 2) | (~v88(constB161, 0))))))),
% 7.43/5.66 inference(monotonicity,[status(thm)],[29959])).
% 7.43/5.66 tff(29961,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB161) <=> (~(v88(constB161, 2) | (~v88(constB161, 1)) | (~v88(constB161, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB161) <=> (~((~v88(constB161, 1)) | v88(constB161, 2) | (~v88(constB161, 0))))))),
% 7.43/5.66 inference(transitivity,[status(thm)],[29960, 29958])).
% 7.43/5.66 tff(29962,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB161) <=> (~(v88(constB161, 2) | (~v88(constB161, 1)) | (~v88(constB161, 0)))))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(29963,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB161) <=> (~((~v88(constB161, 1)) | v88(constB161, 2) | (~v88(constB161, 0)))))),
% 7.43/5.66 inference(modus_ponens,[status(thm)],[29962, 29961])).
% 7.43/5.66 tff(29964,plain,
% 7.43/5.66 (v141(constB161) <=> (~((~v88(constB161, 1)) | v88(constB161, 2) | (~v88(constB161, 0))))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29963, 26268])).
% 7.43/5.66 tff(29965,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB161, 1)) <=> v90(constB161, 1)) | ((~v88(constB161, 2)) <=> v90(constB161, 2)) | ((~v88(constB161, 0)) <=> v90(constB161, 0))))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(29966,plain,
% 7.43/5.66 (~(((~v88(constB161, 1)) <=> v90(constB161, 1)) | ((~v88(constB161, 2)) <=> v90(constB161, 2)) | ((~v88(constB161, 0)) <=> v90(constB161, 0)))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29965, 256])).
% 7.43/5.66 tff(29967,plain,
% 7.43/5.66 ((((~v88(constB161, 1)) <=> v90(constB161, 1)) | ((~v88(constB161, 2)) <=> v90(constB161, 2)) | ((~v88(constB161, 0)) <=> v90(constB161, 0))) | (~((~v88(constB161, 2)) <=> v90(constB161, 2)))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29968,plain,
% 7.43/5.66 (~((~v88(constB161, 2)) <=> v90(constB161, 2))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29967, 29966])).
% 7.43/5.66 tff(29969,plain,
% 7.43/5.66 (((~v88(constB161, 2)) <=> v90(constB161, 2)) | (~v88(constB161, 2)) | v90(constB161, 2)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29970,plain,
% 7.43/5.66 (~v88(constB161, 2)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29969, 21101, 29968])).
% 7.43/5.66 tff(29971,plain,
% 7.43/5.66 ((((~v88(constB161, 1)) <=> v90(constB161, 1)) | ((~v88(constB161, 2)) <=> v90(constB161, 2)) | ((~v88(constB161, 0)) <=> v90(constB161, 0))) | (~((~v88(constB161, 0)) <=> v90(constB161, 0)))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29972,plain,
% 7.43/5.66 (~((~v88(constB161, 0)) <=> v90(constB161, 0))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29971, 29966])).
% 7.43/5.66 tff(29973,plain,
% 7.43/5.66 (((~v88(constB161, 0)) <=> v90(constB161, 0)) | v88(constB161, 0) | (~v90(constB161, 0))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29974,plain,
% 7.43/5.66 (v88(constB161, 0)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29973, 21119, 29972])).
% 7.43/5.66 tff(29975,plain,
% 7.43/5.66 ((((~v88(constB161, 1)) <=> v90(constB161, 1)) | ((~v88(constB161, 2)) <=> v90(constB161, 2)) | ((~v88(constB161, 0)) <=> v90(constB161, 0))) | (~((~v88(constB161, 1)) <=> v90(constB161, 1)))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29976,plain,
% 7.43/5.66 (~((~v88(constB161, 1)) <=> v90(constB161, 1))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29975, 29966])).
% 7.43/5.66 tff(29977,plain,
% 7.43/5.66 (((~v88(constB161, 1)) <=> v90(constB161, 1)) | v88(constB161, 1) | (~v90(constB161, 1))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29978,plain,
% 7.43/5.66 (v88(constB161, 1)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29977, 21137, 29976])).
% 7.43/5.66 tff(29979,plain,
% 7.43/5.66 ((~((~v88(constB161, 1)) | v88(constB161, 2) | (~v88(constB161, 0)))) | (~v88(constB161, 1)) | v88(constB161, 2) | (~v88(constB161, 0))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29980,plain,
% 7.43/5.66 (~((~v88(constB161, 1)) | v88(constB161, 2) | (~v88(constB161, 0)))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29979, 29978, 29974, 29970])).
% 7.43/5.66 tff(29981,plain,
% 7.43/5.66 ((~(v141(constB161) <=> (~((~v88(constB161, 1)) | v88(constB161, 2) | (~v88(constB161, 0)))))) | v141(constB161) | ((~v88(constB161, 1)) | v88(constB161, 2) | (~v88(constB161, 0)))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29982,plain,
% 7.43/5.66 (v141(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29981, 29980, 29964])).
% 7.43/5.66 tff(29983,plain,
% 7.43/5.66 ((v141(constB161) | v169(constB161)) | (~v141(constB161))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29984,plain,
% 7.43/5.66 (v141(constB161) | v169(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29983, 29982])).
% 7.43/5.66 tff(29985,plain,
% 7.43/5.66 ((~(v168(constB161) <=> (v141(constB161) | v169(constB161)))) | v168(constB161) | (~(v141(constB161) | v169(constB161)))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29986,plain,
% 7.43/5.66 (v168(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29985, 29984, 29957])).
% 7.43/5.66 tff(29987,plain,
% 7.43/5.66 ((v142(constB161) | v168(constB161)) | (~v168(constB161))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29988,plain,
% 7.43/5.66 (v142(constB161) | v168(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29987, 29986])).
% 7.43/5.66 tff(29989,plain,
% 7.43/5.66 ((~(v167(constB161) <=> (v142(constB161) | v168(constB161)))) | v167(constB161) | (~(v142(constB161) | v168(constB161)))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29990,plain,
% 7.43/5.66 ((~(v167(constB161) <=> (v142(constB161) | v168(constB161)))) | v167(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29989, 29988])).
% 7.43/5.66 tff(29991,plain,
% 7.43/5.66 (v167(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29990, 29955])).
% 7.43/5.66 tff(29992,plain,
% 7.43/5.66 ((v145(constB161) | v167(constB161)) | (~v167(constB161))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29993,plain,
% 7.43/5.66 (v145(constB161) | v167(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29992, 29991])).
% 7.43/5.66 tff(29994,plain,
% 7.43/5.66 ((~(v166(constB161) <=> (v145(constB161) | v167(constB161)))) | v166(constB161) | (~(v145(constB161) | v167(constB161)))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(29995,plain,
% 7.43/5.66 (v166(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29994, 29993, 29953])).
% 7.43/5.66 tff(29996,plain,
% 7.43/5.66 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB161)) | (v163(constB161) <=> v170(constB161)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB161)) | (v163(constB161) <=> v170(constB161)))),
% 7.43/5.66 inference(rewrite,[status(thm)],[])).
% 7.43/5.66 tff(29997,plain,
% 7.43/5.66 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB161)) | (v163(constB161) <=> v170(constB161)))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(29998,plain,
% 7.43/5.66 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB161)) | (v163(constB161) <=> v170(constB161))),
% 7.43/5.66 inference(modus_ponens,[status(thm)],[29997, 29996])).
% 7.43/5.66 tff(29999,plain,
% 7.43/5.66 ((~v166(constB161)) | (v163(constB161) <=> v170(constB161))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29998, 15777])).
% 7.43/5.66 tff(30000,plain,
% 7.43/5.66 (v163(constB161) <=> v170(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[29999, 29995])).
% 7.43/5.66 tff(30001,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB161) <=> (~(v88(constB161, 0) | v88(constB161, 1) | v88(constB161, 2))))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30002,plain,
% 7.43/5.66 (v139(constB161) <=> (~(v88(constB161, 0) | v88(constB161, 1) | v88(constB161, 2)))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30001, 15795])).
% 7.43/5.66 tff(30003,plain,
% 7.43/5.66 ((v88(constB161, 0) | v88(constB161, 1) | v88(constB161, 2)) | (~v88(constB161, 1))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30004,plain,
% 7.43/5.66 (v88(constB161, 0) | v88(constB161, 1) | v88(constB161, 2)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30003, 29978])).
% 7.43/5.66 tff(30005,plain,
% 7.43/5.66 ((~(v139(constB161) <=> (~(v88(constB161, 0) | v88(constB161, 1) | v88(constB161, 2))))) | (~v139(constB161)) | (~(v88(constB161, 0) | v88(constB161, 1) | v88(constB161, 2)))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30006,plain,
% 7.43/5.66 (~v139(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30005, 30004, 30002])).
% 7.43/5.66 tff(30007,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB161) <=> (~(v88(constB161, 1) | v88(constB161, 2) | (~v88(constB161, 0)))))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30008,plain,
% 7.43/5.66 (v140(constB161) <=> (~(v88(constB161, 1) | v88(constB161, 2) | (~v88(constB161, 0))))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30007, 15814])).
% 7.43/5.66 tff(30009,plain,
% 7.43/5.66 ((v88(constB161, 1) | v88(constB161, 2) | (~v88(constB161, 0))) | (~v88(constB161, 1))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30010,plain,
% 7.43/5.66 (v88(constB161, 1) | v88(constB161, 2) | (~v88(constB161, 0))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30009, 29978])).
% 7.43/5.66 tff(30011,plain,
% 7.43/5.66 ((~(v140(constB161) <=> (~(v88(constB161, 1) | v88(constB161, 2) | (~v88(constB161, 0)))))) | (~v140(constB161)) | (~(v88(constB161, 1) | v88(constB161, 2) | (~v88(constB161, 0))))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30012,plain,
% 7.43/5.66 (~v140(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30011, 30010, 30008])).
% 7.43/5.66 tff(30013,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB161) | v139(constB161) | (~v170(constB161)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB161) | v139(constB161) | (~v170(constB161)))),
% 7.43/5.66 inference(rewrite,[status(thm)],[])).
% 7.43/5.66 tff(30014,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB161) | v139(constB161) | (~v170(constB161)))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30015,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB161) | v139(constB161) | (~v170(constB161))),
% 7.43/5.66 inference(modus_ponens,[status(thm)],[30014, 30013])).
% 7.43/5.66 tff(30016,plain,
% 7.43/5.66 (v140(constB161) | v139(constB161) | (~v170(constB161))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30015, 15833])).
% 7.43/5.66 tff(30017,plain,
% 7.43/5.66 (~v170(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30016, 30012, 30006])).
% 7.43/5.66 tff(30018,plain,
% 7.43/5.66 ((~(v163(constB161) <=> v170(constB161))) | (~v163(constB161)) | v170(constB161)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30019,plain,
% 7.43/5.66 ((~(v163(constB161) <=> v170(constB161))) | (~v163(constB161))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30018, 30017])).
% 7.43/5.66 tff(30020,plain,
% 7.43/5.66 (~v163(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30019, 30000])).
% 7.43/5.66 tff(30021,plain,
% 7.43/5.66 ((~(v161(constB161) <=> v163(constB161))) | (~v161(constB161)) | v163(constB161)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30022,plain,
% 7.43/5.66 ((~(v161(constB161) <=> v163(constB161))) | (~v161(constB161))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30021, 30020])).
% 7.43/5.66 tff(30023,plain,
% 7.43/5.66 (~v161(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30022, 29951])).
% 7.43/5.66 tff(30024,plain,
% 7.43/5.66 (((~v185(constB161)) | (~v161(constB161))) | v161(constB161)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30025,plain,
% 7.43/5.66 ((~v185(constB161)) | (~v161(constB161))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30024, 30023])).
% 7.43/5.66 tff(30026,plain,
% 7.43/5.66 ((~(v184(constB161) <=> (~((~v185(constB161)) | (~v161(constB161)))))) | (~v184(constB161)) | (~((~v185(constB161)) | (~v161(constB161))))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30027,plain,
% 7.43/5.66 (~v184(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30026, 30025, 29949])).
% 7.43/5.66 tff(30028,plain,
% 7.43/5.66 (((~v183(constB161)) | (~v184(constB161))) | v184(constB161)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30029,plain,
% 7.43/5.66 ((~v183(constB161)) | (~v184(constB161))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30028, 30027])).
% 7.43/5.66 tff(30030,plain,
% 7.43/5.66 ((~(v180(constB161) <=> (~((~v183(constB161)) | (~v184(constB161)))))) | (~v180(constB161)) | (~((~v183(constB161)) | (~v184(constB161))))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30031,plain,
% 7.43/5.66 (~v180(constB161)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30030, 30029, 29947])).
% 7.43/5.66 tff(30032,plain,
% 7.43/5.66 ((~(v182(constB162) <=> v180(constB161))) | (~v182(constB162)) | v180(constB161)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30033,plain,
% 7.43/5.66 (~v182(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30032, 30031, 29945])).
% 7.43/5.66 tff(30034,plain,
% 7.43/5.66 ((~(v159(constB162) <=> v182(constB162))) | (~v159(constB162)) | v182(constB162)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30035,plain,
% 7.43/5.66 (~v159(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30034, 30033, 29941])).
% 7.43/5.66 tff(30036,plain,
% 7.43/5.66 (((~v159(constB162)) | (~v194(constB162))) | v159(constB162)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30037,plain,
% 7.43/5.66 ((~v159(constB162)) | (~v194(constB162))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30036, 30035])).
% 7.43/5.66 tff(30038,plain,
% 7.43/5.66 ((~(v196(constB162) <=> (~((~v159(constB162)) | (~v194(constB162)))))) | (~v196(constB162)) | (~((~v159(constB162)) | (~v194(constB162))))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30039,plain,
% 7.43/5.66 (~v196(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30038, 30037, 29939])).
% 7.43/5.66 tff(30040,plain,
% 7.43/5.66 ((~(v193(constB162) | v196(constB162))) | v193(constB162) | v196(constB162)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30041,plain,
% 7.43/5.66 (~(v193(constB162) | v196(constB162))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30040, 30039, 29932])).
% 7.43/5.66 tff(30042,plain,
% 7.43/5.66 ((~(v190(constB162) <=> (v193(constB162) | v196(constB162)))) | (~v190(constB162)) | (v193(constB162) | v196(constB162))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30043,plain,
% 7.43/5.66 (~v190(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30042, 30041, 29798])).
% 7.43/5.66 tff(30044,plain,
% 7.43/5.66 ((~(v192(constB163) <=> v190(constB162))) | (~v192(constB163)) | v190(constB162)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30045,plain,
% 7.43/5.66 (~v192(constB163)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30044, 30043, 29796])).
% 7.43/5.66 tff(30046,plain,
% 7.43/5.66 ((~(v157(constB163) <=> v192(constB163))) | (~v157(constB163)) | v192(constB163)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30047,plain,
% 7.43/5.66 (~v157(constB163)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30046, 30045, 29792])).
% 7.43/5.66 tff(30048,plain,
% 7.43/5.66 (((~v157(constB163)) | (~v202(constB163))) | v157(constB163)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30049,plain,
% 7.43/5.66 ((~v157(constB163)) | (~v202(constB163))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30048, 30047])).
% 7.43/5.66 tff(30050,plain,
% 7.43/5.66 ((~(v201(constB163) <=> (~((~v157(constB163)) | (~v202(constB163)))))) | (~v201(constB163)) | (~((~v157(constB163)) | (~v202(constB163))))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30051,plain,
% 7.43/5.66 (~v201(constB163)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30050, 30049, 29790])).
% 7.43/5.66 tff(30052,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB163) <=> (~((~v159(constB163)) | (~v202(constB163)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB163) <=> (~((~v159(constB163)) | (~v202(constB163))))))),
% 7.43/5.66 inference(rewrite,[status(thm)],[])).
% 7.43/5.66 tff(30053,plain,
% 7.43/5.66 ((v205(constB163) <=> (~((~v202(constB163)) | (~v159(constB163))))) <=> (v205(constB163) <=> (~((~v159(constB163)) | (~v202(constB163)))))),
% 7.43/5.66 inference(rewrite,[status(thm)],[])).
% 7.43/5.66 tff(30054,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB163) <=> (~((~v202(constB163)) | (~v159(constB163)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB163) <=> (~((~v159(constB163)) | (~v202(constB163))))))),
% 7.43/5.66 inference(monotonicity,[status(thm)],[30053])).
% 7.43/5.66 tff(30055,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB163) <=> (~((~v202(constB163)) | (~v159(constB163)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB163) <=> (~((~v159(constB163)) | (~v202(constB163))))))),
% 7.43/5.66 inference(transitivity,[status(thm)],[30054, 30052])).
% 7.43/5.66 tff(30056,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB163) <=> (~((~v202(constB163)) | (~v159(constB163)))))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30057,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB163) <=> (~((~v159(constB163)) | (~v202(constB163)))))),
% 7.43/5.66 inference(modus_ponens,[status(thm)],[30056, 30055])).
% 7.43/5.66 tff(30058,plain,
% 7.43/5.66 (v205(constB163) <=> (~((~v159(constB163)) | (~v202(constB163))))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30057, 138])).
% 7.43/5.66 tff(30059,plain,
% 7.43/5.66 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB163) <=> v182(constB163))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30060,plain,
% 7.43/5.66 (v159(constB163) <=> v182(constB163)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30059, 15113])).
% 7.43/5.66 tff(30061,plain,
% 7.43/5.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB162, constB163)) | (v182(constB163) <=> v180(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB162, constB163)) | (v182(constB163) <=> v180(constB162)))),
% 7.43/5.66 inference(rewrite,[status(thm)],[])).
% 7.43/5.66 tff(30062,plain,
% 7.43/5.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB162, constB163)) | (v182(constB163) <=> v180(constB162)))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30063,plain,
% 7.43/5.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB162, constB163)) | (v182(constB163) <=> v180(constB162))),
% 7.43/5.66 inference(modus_ponens,[status(thm)],[30062, 30061])).
% 7.43/5.66 tff(30064,plain,
% 7.43/5.66 (v182(constB163) <=> v180(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30063, 17496, 15125])).
% 7.43/5.66 tff(30065,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB162) <=> (~((~v183(constB162)) | (~v184(constB162)))))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30066,plain,
% 7.43/5.66 (v180(constB162) <=> (~((~v183(constB162)) | (~v184(constB162))))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30065, 15139])).
% 7.43/5.66 tff(30067,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB162) <=> (~((~v185(constB162)) | (~v161(constB162)))))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30068,plain,
% 7.43/5.66 (v184(constB162) <=> (~((~v185(constB162)) | (~v161(constB162))))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30067, 15151])).
% 7.43/5.66 tff(30069,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30070,plain,
% 7.43/5.66 (v185(constB162) <=> (~((~v39(constB162)) | (~v9(constB162))))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30069, 93])).
% 7.43/5.66 tff(30071,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB162)) <=> v1(constB162))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30072,plain,
% 7.43/5.66 ((~v39(constB162)) <=> v1(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30071, 102])).
% 7.43/5.66 tff(30073,plain,
% 7.43/5.66 ((~((~v39(constB162)) <=> v1(constB162))) | (~v39(constB162)) | (~v1(constB162))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30074,plain,
% 7.43/5.66 ((~((~v39(constB162)) <=> v1(constB162))) | (~v39(constB162))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30073, 21182])).
% 7.43/5.66 tff(30075,plain,
% 7.43/5.66 (~v39(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30074, 30072])).
% 7.43/5.66 tff(30076,plain,
% 7.43/5.66 (((~v39(constB162)) | (~v9(constB162))) | v39(constB162)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30077,plain,
% 7.43/5.66 ((~v39(constB162)) | (~v9(constB162))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30076, 30075])).
% 7.43/5.66 tff(30078,plain,
% 7.43/5.66 ((~(v185(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))) | (~v185(constB162)) | (~((~v39(constB162)) | (~v9(constB162))))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30079,plain,
% 7.43/5.66 ((~(v185(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))) | (~v185(constB162))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30078, 30077])).
% 7.43/5.66 tff(30080,plain,
% 7.43/5.66 (~v185(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30079, 30070])).
% 7.43/5.66 tff(30081,plain,
% 7.43/5.66 (((~v185(constB162)) | (~v161(constB162))) | v185(constB162)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30082,plain,
% 7.43/5.66 ((~v185(constB162)) | (~v161(constB162))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30081, 30080])).
% 7.43/5.66 tff(30083,plain,
% 7.43/5.66 ((~(v184(constB162) <=> (~((~v185(constB162)) | (~v161(constB162)))))) | (~v184(constB162)) | (~((~v185(constB162)) | (~v161(constB162))))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30084,plain,
% 7.43/5.66 ((~(v184(constB162) <=> (~((~v185(constB162)) | (~v161(constB162)))))) | (~v184(constB162))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30083, 30082])).
% 7.43/5.66 tff(30085,plain,
% 7.43/5.66 (~v184(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30084, 30068])).
% 7.43/5.66 tff(30086,plain,
% 7.43/5.66 (((~v183(constB162)) | (~v184(constB162))) | v184(constB162)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30087,plain,
% 7.43/5.66 ((~v183(constB162)) | (~v184(constB162))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30086, 30085])).
% 7.43/5.66 tff(30088,plain,
% 7.43/5.66 ((~(v180(constB162) <=> (~((~v183(constB162)) | (~v184(constB162)))))) | (~v180(constB162)) | (~((~v183(constB162)) | (~v184(constB162))))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30089,plain,
% 7.43/5.66 (~v180(constB162)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30088, 30087, 30066])).
% 7.43/5.66 tff(30090,plain,
% 7.43/5.66 ((~(v182(constB163) <=> v180(constB162))) | (~v182(constB163)) | v180(constB162)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30091,plain,
% 7.43/5.66 (~v182(constB163)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30090, 30089, 30064])).
% 7.43/5.66 tff(30092,plain,
% 7.43/5.66 ((~(v159(constB163) <=> v182(constB163))) | (~v159(constB163)) | v182(constB163)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30093,plain,
% 7.43/5.66 (~v159(constB163)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30092, 30091, 30060])).
% 7.43/5.66 tff(30094,plain,
% 7.43/5.66 (((~v159(constB163)) | (~v202(constB163))) | v159(constB163)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30095,plain,
% 7.43/5.66 ((~v159(constB163)) | (~v202(constB163))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30094, 30093])).
% 7.43/5.66 tff(30096,plain,
% 7.43/5.66 ((~(v205(constB163) <=> (~((~v159(constB163)) | (~v202(constB163)))))) | (~v205(constB163)) | (~((~v159(constB163)) | (~v202(constB163))))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30097,plain,
% 7.43/5.66 (~v205(constB163)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30096, 30095, 30058])).
% 7.43/5.66 tff(30098,plain,
% 7.43/5.66 ((~(v201(constB163) | v205(constB163))) | v201(constB163) | v205(constB163)),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30099,plain,
% 7.43/5.66 ((~(v201(constB163) | v205(constB163))) | v201(constB163)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30098, 30097])).
% 7.43/5.66 tff(30100,plain,
% 7.43/5.66 (~(v201(constB163) | v205(constB163))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30099, 30051])).
% 7.43/5.66 tff(30101,plain,
% 7.43/5.66 ((~(v200(constB163) <=> (v201(constB163) | v205(constB163)))) | (~v200(constB163)) | (v201(constB163) | v205(constB163))),
% 7.43/5.66 inference(tautology,[status(thm)],[])).
% 7.43/5.66 tff(30102,plain,
% 7.43/5.66 (~v200(constB163)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30101, 30100, 29783])).
% 7.43/5.66 tff(30103,plain,
% 7.43/5.66 ($false),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30102, 29781])).
% 7.43/5.66 tff(30104,plain,(~(constB163 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.43/5.66 tff(30105,assumption,(constB109 = VarCurr!0), introduced(assumption)).
% 7.43/5.66 tff(30106,plain,
% 7.43/5.66 (v200(constB109) <=> v200(VarCurr!0)),
% 7.43/5.66 inference(monotonicity,[status(thm)],[30105])).
% 7.43/5.66 tff(30107,plain,
% 7.43/5.66 (v200(VarCurr!0) <=> v200(constB109)),
% 7.43/5.66 inference(symmetry,[status(thm)],[30106])).
% 7.43/5.66 tff(30108,plain,
% 7.43/5.66 (v200(constB109)),
% 7.43/5.66 inference(modus_ponens,[status(thm)],[27, 30107])).
% 7.43/5.66 tff(30109,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB109) <=> (v201(constB109) | v205(constB109)))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30110,plain,
% 7.43/5.66 (v200(constB109) <=> (v201(constB109) | v205(constB109))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30109, 35])).
% 7.43/5.66 tff(30111,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB109) <=> (~((~v157(constB109)) | (~v202(constB109)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB109) <=> (~((~v157(constB109)) | (~v202(constB109))))))),
% 7.43/5.66 inference(rewrite,[status(thm)],[])).
% 7.43/5.66 tff(30112,plain,
% 7.43/5.66 ((v201(constB109) <=> (~((~v202(constB109)) | (~v157(constB109))))) <=> (v201(constB109) <=> (~((~v157(constB109)) | (~v202(constB109)))))),
% 7.43/5.66 inference(rewrite,[status(thm)],[])).
% 7.43/5.66 tff(30113,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB109) <=> (~((~v202(constB109)) | (~v157(constB109)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB109) <=> (~((~v157(constB109)) | (~v202(constB109))))))),
% 7.43/5.66 inference(monotonicity,[status(thm)],[30112])).
% 7.43/5.66 tff(30114,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB109) <=> (~((~v202(constB109)) | (~v157(constB109)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB109) <=> (~((~v157(constB109)) | (~v202(constB109))))))),
% 7.43/5.66 inference(transitivity,[status(thm)],[30113, 30111])).
% 7.43/5.66 tff(30115,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB109) <=> (~((~v202(constB109)) | (~v157(constB109)))))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30116,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB109) <=> (~((~v157(constB109)) | (~v202(constB109)))))),
% 7.43/5.66 inference(modus_ponens,[status(thm)],[30115, 30114])).
% 7.43/5.66 tff(30117,plain,
% 7.43/5.66 (v201(constB109) <=> (~((~v157(constB109)) | (~v202(constB109))))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30116, 47])).
% 7.43/5.66 tff(30118,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB109) <=> (~((~v183(constB109)) | (~v203(constB109)))))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30119,plain,
% 7.43/5.66 (v202(constB109) <=> (~((~v183(constB109)) | (~v203(constB109))))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30118, 64])).
% 7.43/5.66 tff(30120,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB109) <=> (~((~v185(constB109)) | (~v204(constB109)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB109) <=> (~((~v185(constB109)) | (~v204(constB109))))))),
% 7.43/5.66 inference(rewrite,[status(thm)],[])).
% 7.43/5.66 tff(30121,plain,
% 7.43/5.66 ((v203(constB109) <=> (~((~v204(constB109)) | (~v185(constB109))))) <=> (v203(constB109) <=> (~((~v185(constB109)) | (~v204(constB109)))))),
% 7.43/5.66 inference(rewrite,[status(thm)],[])).
% 7.43/5.66 tff(30122,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB109) <=> (~((~v204(constB109)) | (~v185(constB109)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB109) <=> (~((~v185(constB109)) | (~v204(constB109))))))),
% 7.43/5.66 inference(monotonicity,[status(thm)],[30121])).
% 7.43/5.66 tff(30123,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB109) <=> (~((~v204(constB109)) | (~v185(constB109)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB109) <=> (~((~v185(constB109)) | (~v204(constB109))))))),
% 7.43/5.66 inference(transitivity,[status(thm)],[30122, 30120])).
% 7.43/5.66 tff(30124,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB109) <=> (~((~v204(constB109)) | (~v185(constB109)))))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30125,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB109) <=> (~((~v185(constB109)) | (~v204(constB109)))))),
% 7.43/5.66 inference(modus_ponens,[status(thm)],[30124, 30123])).
% 7.43/5.66 tff(30126,plain,
% 7.43/5.66 (v203(constB109) <=> (~((~v185(constB109)) | (~v204(constB109))))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30125, 76])).
% 7.43/5.66 tff(30127,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))) | ((~v204(constB109)) <=> v84(constB109))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30128,plain,
% 7.43/5.66 ((~v204(constB109)) <=> v84(constB109)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30127, 185])).
% 7.43/5.66 tff(30129,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB109) <=> v86(constB109))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30130,plain,
% 7.43/5.66 (v84(constB109) <=> v86(constB109)),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30129, 194])).
% 7.43/5.66 tff(30131,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB109) <=> (v136(constB109) | v145(constB109)))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30132,plain,
% 7.43/5.66 (v135(constB109) <=> (v136(constB109) | v145(constB109))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30131, 203])).
% 7.43/5.66 tff(30133,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB109) <=> (v137(constB109) | v142(constB109)))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30134,plain,
% 7.43/5.66 (v136(constB109) <=> (v137(constB109) | v142(constB109))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30133, 212])).
% 7.43/5.66 tff(30135,plain,
% 7.43/5.66 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB109) <=> (v143(constB109) | v144(constB109)))),
% 7.43/5.66 inference(quant_inst,[status(thm)],[])).
% 7.43/5.66 tff(30136,plain,
% 7.43/5.66 (v142(constB109) <=> (v143(constB109) | v144(constB109))),
% 7.43/5.66 inference(unit_resolution,[status(thm)],[30135, 221])).
% 7.43/5.66 tff(30137,plain,
% 7.43/5.66 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB109) <=> (~((~v88(constB109, 1)) | v88(constB109, 2) | v88(constB109, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB109) <=> (~((~v88(constB109, 1)) | v88(constB109, 2) | v88(constB109, 0)))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30138,plain,
% 7.43/5.67 ((v143(constB109) <=> (~(v88(constB109, 0) | v88(constB109, 2) | (~v88(constB109, 1))))) <=> (v143(constB109) <=> (~((~v88(constB109, 1)) | v88(constB109, 2) | v88(constB109, 0))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30139,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB109) <=> (~(v88(constB109, 0) | v88(constB109, 2) | (~v88(constB109, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB109) <=> (~((~v88(constB109, 1)) | v88(constB109, 2) | v88(constB109, 0)))))),
% 7.43/5.67 inference(monotonicity,[status(thm)],[30138])).
% 7.43/5.67 tff(30140,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB109) <=> (~(v88(constB109, 0) | v88(constB109, 2) | (~v88(constB109, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB109) <=> (~((~v88(constB109, 1)) | v88(constB109, 2) | v88(constB109, 0)))))),
% 7.43/5.67 inference(transitivity,[status(thm)],[30139, 30137])).
% 7.43/5.67 tff(30141,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB109) <=> (~(v88(constB109, 0) | v88(constB109, 2) | (~v88(constB109, 1)))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30142,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB109) <=> (~((~v88(constB109, 1)) | v88(constB109, 2) | v88(constB109, 0))))),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[30141, 30140])).
% 7.43/5.67 tff(30143,plain,
% 7.43/5.67 (v143(constB109) <=> (~((~v88(constB109, 1)) | v88(constB109, 2) | v88(constB109, 0)))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30142, 236])).
% 7.43/5.67 tff(30144,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB109, 1)) <=> v90(constB109, 1)) | ((~v88(constB109, 2)) <=> v90(constB109, 2)) | ((~v88(constB109, 0)) <=> v90(constB109, 0))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30145,plain,
% 7.43/5.67 (~(((~v88(constB109, 1)) <=> v90(constB109, 1)) | ((~v88(constB109, 2)) <=> v90(constB109, 2)) | ((~v88(constB109, 0)) <=> v90(constB109, 0)))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30144, 256])).
% 7.43/5.67 tff(30146,plain,
% 7.43/5.67 ((((~v88(constB109, 1)) <=> v90(constB109, 1)) | ((~v88(constB109, 2)) <=> v90(constB109, 2)) | ((~v88(constB109, 0)) <=> v90(constB109, 0))) | (~((~v88(constB109, 2)) <=> v90(constB109, 2)))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30147,plain,
% 7.43/5.67 (~((~v88(constB109, 2)) <=> v90(constB109, 2))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30146, 30145])).
% 7.43/5.67 tff(30148,plain,
% 7.43/5.67 (((~v88(constB109, 2)) <=> v90(constB109, 2)) | (~v88(constB109, 2)) | v90(constB109, 2)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30149,plain,
% 7.43/5.67 (~v88(constB109, 2)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30148, 13388, 30147])).
% 7.43/5.67 tff(30150,plain,
% 7.43/5.67 ((((~v88(constB109, 1)) <=> v90(constB109, 1)) | ((~v88(constB109, 2)) <=> v90(constB109, 2)) | ((~v88(constB109, 0)) <=> v90(constB109, 0))) | (~((~v88(constB109, 0)) <=> v90(constB109, 0)))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30151,plain,
% 7.43/5.67 (~((~v88(constB109, 0)) <=> v90(constB109, 0))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30150, 30145])).
% 7.43/5.67 tff(30152,plain,
% 7.43/5.67 (((~v88(constB109, 0)) <=> v90(constB109, 0)) | (~v88(constB109, 0)) | v90(constB109, 0)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30153,plain,
% 7.43/5.67 (~v88(constB109, 0)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30152, 13406, 30151])).
% 7.43/5.67 tff(30154,plain,
% 7.43/5.67 ((((~v88(constB109, 1)) <=> v90(constB109, 1)) | ((~v88(constB109, 2)) <=> v90(constB109, 2)) | ((~v88(constB109, 0)) <=> v90(constB109, 0))) | (~((~v88(constB109, 1)) <=> v90(constB109, 1)))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30155,plain,
% 7.43/5.67 (~((~v88(constB109, 1)) <=> v90(constB109, 1))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30154, 30145])).
% 7.43/5.67 tff(30156,plain,
% 7.43/5.67 (((~v88(constB109, 1)) <=> v90(constB109, 1)) | v88(constB109, 1) | (~v90(constB109, 1))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30157,plain,
% 7.43/5.67 (v88(constB109, 1)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30156, 13424, 30155])).
% 7.43/5.67 tff(30158,plain,
% 7.43/5.67 ((~((~v88(constB109, 1)) | v88(constB109, 2) | v88(constB109, 0))) | (~v88(constB109, 1)) | v88(constB109, 2) | v88(constB109, 0)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30159,plain,
% 7.43/5.67 (~((~v88(constB109, 1)) | v88(constB109, 2) | v88(constB109, 0))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30158, 30157, 30153, 30149])).
% 7.43/5.67 tff(30160,plain,
% 7.43/5.67 ((~(v143(constB109) <=> (~((~v88(constB109, 1)) | v88(constB109, 2) | v88(constB109, 0))))) | v143(constB109) | ((~v88(constB109, 1)) | v88(constB109, 2) | v88(constB109, 0))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30161,plain,
% 7.43/5.67 (v143(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30160, 30159, 30143])).
% 7.43/5.67 tff(30162,plain,
% 7.43/5.67 ((v143(constB109) | v144(constB109)) | (~v143(constB109))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30163,plain,
% 7.43/5.67 (v143(constB109) | v144(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30162, 30161])).
% 7.43/5.67 tff(30164,plain,
% 7.43/5.67 ((~(v142(constB109) <=> (v143(constB109) | v144(constB109)))) | v142(constB109) | (~(v143(constB109) | v144(constB109)))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30165,plain,
% 7.43/5.67 (v142(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30164, 30163, 30136])).
% 7.43/5.67 tff(30166,plain,
% 7.43/5.67 ((v137(constB109) | v142(constB109)) | (~v142(constB109))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30167,plain,
% 7.43/5.67 (v137(constB109) | v142(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30166, 30165])).
% 7.43/5.67 tff(30168,plain,
% 7.43/5.67 ((~(v136(constB109) <=> (v137(constB109) | v142(constB109)))) | v136(constB109) | (~(v137(constB109) | v142(constB109)))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30169,plain,
% 7.43/5.67 ((~(v136(constB109) <=> (v137(constB109) | v142(constB109)))) | v136(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30168, 30167])).
% 7.43/5.67 tff(30170,plain,
% 7.43/5.67 (v136(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30169, 30134])).
% 7.43/5.67 tff(30171,plain,
% 7.43/5.67 ((v136(constB109) | v145(constB109)) | (~v136(constB109))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30172,plain,
% 7.43/5.67 (v136(constB109) | v145(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30171, 30170])).
% 7.43/5.67 tff(30173,plain,
% 7.43/5.67 ((~(v135(constB109) <=> (v136(constB109) | v145(constB109)))) | v135(constB109) | (~(v136(constB109) | v145(constB109)))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30174,plain,
% 7.43/5.67 (v135(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30173, 30172, 30132])).
% 7.43/5.67 tff(30175,plain,
% 7.43/5.67 (((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB109)) | (v86(constB109) <=> v148(constB109)))) <=> ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB109)) | (v86(constB109) <=> v148(constB109)))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30176,plain,
% 7.43/5.67 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB109)) | (v86(constB109) <=> v148(constB109)))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30177,plain,
% 7.43/5.67 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB109)) | (v86(constB109) <=> v148(constB109))),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[30176, 30175])).
% 7.43/5.67 tff(30178,plain,
% 7.43/5.67 (v86(constB109) <=> v148(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30177, 15057, 30174])).
% 7.43/5.67 tff(30179,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB109) | (~v142(constB109)))) <=> ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB109) | (~v142(constB109)))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30180,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB109) | (~v142(constB109)))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30181,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB109) | (~v142(constB109))),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[30180, 30179])).
% 7.43/5.67 tff(30182,plain,
% 7.43/5.67 (v148(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30181, 15071, 30165])).
% 7.43/5.67 tff(30183,plain,
% 7.43/5.67 ((~(v86(constB109) <=> v148(constB109))) | v86(constB109) | (~v148(constB109))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30184,plain,
% 7.43/5.67 ((~(v86(constB109) <=> v148(constB109))) | v86(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30183, 30182])).
% 7.43/5.67 tff(30185,plain,
% 7.43/5.67 (v86(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30184, 30178])).
% 7.43/5.67 tff(30186,plain,
% 7.43/5.67 ((~(v84(constB109) <=> v86(constB109))) | v84(constB109) | (~v86(constB109))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30187,plain,
% 7.43/5.67 ((~(v84(constB109) <=> v86(constB109))) | v84(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30186, 30185])).
% 7.43/5.67 tff(30188,plain,
% 7.43/5.67 (v84(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30187, 30130])).
% 7.43/5.67 tff(30189,plain,
% 7.43/5.67 ((~((~v204(constB109)) <=> v84(constB109))) | (~v204(constB109)) | (~v84(constB109))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30190,plain,
% 7.43/5.67 ((~((~v204(constB109)) <=> v84(constB109))) | (~v204(constB109))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30189, 30188])).
% 7.43/5.67 tff(30191,plain,
% 7.43/5.67 (~v204(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30190, 30128])).
% 7.43/5.67 tff(30192,plain,
% 7.43/5.67 (((~v185(constB109)) | (~v204(constB109))) | v204(constB109)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30193,plain,
% 7.43/5.67 ((~v185(constB109)) | (~v204(constB109))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30192, 30191])).
% 7.43/5.67 tff(30194,plain,
% 7.43/5.67 ((~(v203(constB109) <=> (~((~v185(constB109)) | (~v204(constB109)))))) | (~v203(constB109)) | (~((~v185(constB109)) | (~v204(constB109))))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30195,plain,
% 7.43/5.67 (~v203(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30194, 30193, 30126])).
% 7.43/5.67 tff(30196,plain,
% 7.43/5.67 (((~v183(constB109)) | (~v203(constB109))) | v203(constB109)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30197,plain,
% 7.43/5.67 ((~v183(constB109)) | (~v203(constB109))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30196, 30195])).
% 7.43/5.67 tff(30198,plain,
% 7.43/5.67 ((~(v202(constB109) <=> (~((~v183(constB109)) | (~v203(constB109)))))) | (~v202(constB109)) | (~((~v183(constB109)) | (~v203(constB109))))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30199,plain,
% 7.43/5.67 (~v202(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30198, 30197, 30119])).
% 7.43/5.67 tff(30200,plain,
% 7.43/5.67 (((~v157(constB109)) | (~v202(constB109))) | v202(constB109)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30201,plain,
% 7.43/5.67 ((~v157(constB109)) | (~v202(constB109))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30200, 30199])).
% 7.43/5.67 tff(30202,plain,
% 7.43/5.67 ((~(v201(constB109) <=> (~((~v157(constB109)) | (~v202(constB109)))))) | (~v201(constB109)) | (~((~v157(constB109)) | (~v202(constB109))))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30203,plain,
% 7.43/5.67 (~v201(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30202, 30201, 30117])).
% 7.43/5.67 tff(30204,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB109) <=> (~((~v159(constB109)) | (~v202(constB109)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB109) <=> (~((~v159(constB109)) | (~v202(constB109))))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30205,plain,
% 7.43/5.67 ((v205(constB109) <=> (~((~v202(constB109)) | (~v159(constB109))))) <=> (v205(constB109) <=> (~((~v159(constB109)) | (~v202(constB109)))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30206,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB109) <=> (~((~v202(constB109)) | (~v159(constB109)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB109) <=> (~((~v159(constB109)) | (~v202(constB109))))))),
% 7.43/5.67 inference(monotonicity,[status(thm)],[30205])).
% 7.43/5.67 tff(30207,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB109) <=> (~((~v202(constB109)) | (~v159(constB109)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB109) <=> (~((~v159(constB109)) | (~v202(constB109))))))),
% 7.43/5.67 inference(transitivity,[status(thm)],[30206, 30204])).
% 7.43/5.67 tff(30208,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB109) <=> (~((~v202(constB109)) | (~v159(constB109)))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30209,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB109) <=> (~((~v159(constB109)) | (~v202(constB109)))))),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[30208, 30207])).
% 7.43/5.67 tff(30210,plain,
% 7.43/5.67 (v205(constB109) <=> (~((~v159(constB109)) | (~v202(constB109))))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30209, 138])).
% 7.43/5.67 tff(30211,plain,
% 7.43/5.67 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB109) <=> v182(constB109))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30212,plain,
% 7.43/5.67 (v159(constB109) <=> v182(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30211, 15113])).
% 7.43/5.67 tff(30213,plain,
% 7.43/5.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB108, constB109)) | (v182(constB109) <=> v180(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB108, constB109)) | (v182(constB109) <=> v180(constB108)))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30214,plain,
% 7.43/5.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB108, constB109)) | (v182(constB109) <=> v180(constB108)))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30215,plain,
% 7.43/5.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB108, constB109)) | (v182(constB109) <=> v180(constB108))),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[30214, 30213])).
% 7.43/5.67 tff(30216,plain,
% 7.43/5.67 (v182(constB109) <=> v180(constB108)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30215, 1053, 15125])).
% 7.43/5.67 tff(30217,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB108) <=> (~((~v183(constB108)) | (~v184(constB108)))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30218,plain,
% 7.43/5.67 (v180(constB108) <=> (~((~v183(constB108)) | (~v184(constB108))))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30217, 15139])).
% 7.43/5.67 tff(30219,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB108) <=> (~((~v185(constB108)) | (~v161(constB108)))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30220,plain,
% 7.43/5.67 (v184(constB108) <=> (~((~v185(constB108)) | (~v161(constB108))))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30219, 15151])).
% 7.43/5.67 tff(30221,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB108) <=> (~((~v39(constB108)) | (~v9(constB108)))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30222,plain,
% 7.43/5.67 (v185(constB108) <=> (~((~v39(constB108)) | (~v9(constB108))))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30221, 93])).
% 7.43/5.67 tff(30223,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB108)) <=> v1(constB108))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30224,plain,
% 7.43/5.67 ((~v39(constB108)) <=> v1(constB108)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30223, 102])).
% 7.43/5.67 tff(30225,plain,
% 7.43/5.67 ((~((~v39(constB108)) <=> v1(constB108))) | (~v39(constB108)) | (~v1(constB108))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30226,plain,
% 7.43/5.67 ((~((~v39(constB108)) <=> v1(constB108))) | (~v39(constB108))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30225, 13308])).
% 7.43/5.67 tff(30227,plain,
% 7.43/5.67 (~v39(constB108)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30226, 30224])).
% 7.43/5.67 tff(30228,plain,
% 7.43/5.67 (((~v39(constB108)) | (~v9(constB108))) | v39(constB108)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30229,plain,
% 7.43/5.67 ((~v39(constB108)) | (~v9(constB108))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30228, 30227])).
% 7.43/5.67 tff(30230,plain,
% 7.43/5.67 ((~(v185(constB108) <=> (~((~v39(constB108)) | (~v9(constB108)))))) | (~v185(constB108)) | (~((~v39(constB108)) | (~v9(constB108))))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30231,plain,
% 7.43/5.67 ((~(v185(constB108) <=> (~((~v39(constB108)) | (~v9(constB108)))))) | (~v185(constB108))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30230, 30229])).
% 7.43/5.67 tff(30232,plain,
% 7.43/5.67 (~v185(constB108)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30231, 30222])).
% 7.43/5.67 tff(30233,plain,
% 7.43/5.67 (((~v185(constB108)) | (~v161(constB108))) | v185(constB108)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30234,plain,
% 7.43/5.67 ((~v185(constB108)) | (~v161(constB108))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30233, 30232])).
% 7.43/5.67 tff(30235,plain,
% 7.43/5.67 ((~(v184(constB108) <=> (~((~v185(constB108)) | (~v161(constB108)))))) | (~v184(constB108)) | (~((~v185(constB108)) | (~v161(constB108))))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30236,plain,
% 7.43/5.67 ((~(v184(constB108) <=> (~((~v185(constB108)) | (~v161(constB108)))))) | (~v184(constB108))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30235, 30234])).
% 7.43/5.67 tff(30237,plain,
% 7.43/5.67 (~v184(constB108)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30236, 30220])).
% 7.43/5.67 tff(30238,plain,
% 7.43/5.67 (((~v183(constB108)) | (~v184(constB108))) | v184(constB108)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30239,plain,
% 7.43/5.67 ((~v183(constB108)) | (~v184(constB108))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30238, 30237])).
% 7.43/5.67 tff(30240,plain,
% 7.43/5.67 ((~(v180(constB108) <=> (~((~v183(constB108)) | (~v184(constB108)))))) | (~v180(constB108)) | (~((~v183(constB108)) | (~v184(constB108))))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30241,plain,
% 7.43/5.67 (~v180(constB108)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30240, 30239, 30218])).
% 7.43/5.67 tff(30242,plain,
% 7.43/5.67 ((~(v182(constB109) <=> v180(constB108))) | (~v182(constB109)) | v180(constB108)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30243,plain,
% 7.43/5.67 (~v182(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30242, 30241, 30216])).
% 7.43/5.67 tff(30244,plain,
% 7.43/5.67 ((~(v159(constB109) <=> v182(constB109))) | (~v159(constB109)) | v182(constB109)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30245,plain,
% 7.43/5.67 (~v159(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30244, 30243, 30212])).
% 7.43/5.67 tff(30246,plain,
% 7.43/5.67 (((~v159(constB109)) | (~v202(constB109))) | v159(constB109)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30247,plain,
% 7.43/5.67 ((~v159(constB109)) | (~v202(constB109))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30246, 30245])).
% 7.43/5.67 tff(30248,plain,
% 7.43/5.67 ((~(v205(constB109) <=> (~((~v159(constB109)) | (~v202(constB109)))))) | (~v205(constB109)) | (~((~v159(constB109)) | (~v202(constB109))))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30249,plain,
% 7.43/5.67 (~v205(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30248, 30247, 30210])).
% 7.43/5.67 tff(30250,plain,
% 7.43/5.67 ((~(v201(constB109) | v205(constB109))) | v201(constB109) | v205(constB109)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30251,plain,
% 7.43/5.67 ((~(v201(constB109) | v205(constB109))) | v201(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30250, 30249])).
% 7.43/5.67 tff(30252,plain,
% 7.43/5.67 (~(v201(constB109) | v205(constB109))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30251, 30203])).
% 7.43/5.67 tff(30253,plain,
% 7.43/5.67 ((~(v200(constB109) <=> (v201(constB109) | v205(constB109)))) | (~v200(constB109)) | (v201(constB109) | v205(constB109))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30254,plain,
% 7.43/5.67 (~v200(constB109)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30253, 30252, 30110])).
% 7.43/5.67 tff(30255,plain,
% 7.43/5.67 ($false),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30254, 30108])).
% 7.43/5.67 tff(30256,plain,(~(constB109 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.43/5.67 tff(30257,assumption,(constB190 = VarCurr!0), introduced(assumption)).
% 7.43/5.67 tff(30258,plain,
% 7.43/5.67 (v200(constB190) <=> v200(VarCurr!0)),
% 7.43/5.67 inference(monotonicity,[status(thm)],[30257])).
% 7.43/5.67 tff(30259,plain,
% 7.43/5.67 (v200(VarCurr!0) <=> v200(constB190)),
% 7.43/5.67 inference(symmetry,[status(thm)],[30258])).
% 7.43/5.67 tff(30260,plain,
% 7.43/5.67 (v200(constB190)),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[27, 30259])).
% 7.43/5.67 tff(30261,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB190) <=> (v201(constB190) | v205(constB190)))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30262,plain,
% 7.43/5.67 (v200(constB190) <=> (v201(constB190) | v205(constB190))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30261, 35])).
% 7.43/5.67 tff(30263,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB190) <=> (~((~v157(constB190)) | (~v202(constB190)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB190) <=> (~((~v157(constB190)) | (~v202(constB190))))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30264,plain,
% 7.43/5.67 ((v201(constB190) <=> (~((~v202(constB190)) | (~v157(constB190))))) <=> (v201(constB190) <=> (~((~v157(constB190)) | (~v202(constB190)))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30265,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB190) <=> (~((~v202(constB190)) | (~v157(constB190)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB190) <=> (~((~v157(constB190)) | (~v202(constB190))))))),
% 7.43/5.67 inference(monotonicity,[status(thm)],[30264])).
% 7.43/5.67 tff(30266,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB190) <=> (~((~v202(constB190)) | (~v157(constB190)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB190) <=> (~((~v157(constB190)) | (~v202(constB190))))))),
% 7.43/5.67 inference(transitivity,[status(thm)],[30265, 30263])).
% 7.43/5.67 tff(30267,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB190) <=> (~((~v202(constB190)) | (~v157(constB190)))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30268,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB190) <=> (~((~v157(constB190)) | (~v202(constB190)))))),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[30267, 30266])).
% 7.43/5.67 tff(30269,plain,
% 7.43/5.67 (v201(constB190) <=> (~((~v157(constB190)) | (~v202(constB190))))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30268, 47])).
% 7.43/5.67 tff(30270,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB190) <=> (~((~v183(constB190)) | (~v203(constB190)))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30271,plain,
% 7.43/5.67 (v202(constB190) <=> (~((~v183(constB190)) | (~v203(constB190))))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30270, 64])).
% 7.43/5.67 tff(30272,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB190) <=> (~((~v185(constB190)) | (~v204(constB190)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB190) <=> (~((~v185(constB190)) | (~v204(constB190))))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30273,plain,
% 7.43/5.67 ((v203(constB190) <=> (~((~v204(constB190)) | (~v185(constB190))))) <=> (v203(constB190) <=> (~((~v185(constB190)) | (~v204(constB190)))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30274,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB190) <=> (~((~v204(constB190)) | (~v185(constB190)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB190) <=> (~((~v185(constB190)) | (~v204(constB190))))))),
% 7.43/5.67 inference(monotonicity,[status(thm)],[30273])).
% 7.43/5.67 tff(30275,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB190) <=> (~((~v204(constB190)) | (~v185(constB190)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB190) <=> (~((~v185(constB190)) | (~v204(constB190))))))),
% 7.43/5.67 inference(transitivity,[status(thm)],[30274, 30272])).
% 7.43/5.67 tff(30276,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB190) <=> (~((~v204(constB190)) | (~v185(constB190)))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30277,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB190) <=> (~((~v185(constB190)) | (~v204(constB190)))))),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[30276, 30275])).
% 7.43/5.67 tff(30278,plain,
% 7.43/5.67 (v203(constB190) <=> (~((~v185(constB190)) | (~v204(constB190))))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30277, 76])).
% 7.43/5.67 tff(30279,plain,
% 7.43/5.67 (((~v185(constB190)) | (~v204(constB190))) | v185(constB190)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30280,plain,
% 7.43/5.67 ((~v185(constB190)) | (~v204(constB190))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30279, 23488])).
% 7.43/5.67 tff(30281,plain,
% 7.43/5.67 ((~(v203(constB190) <=> (~((~v185(constB190)) | (~v204(constB190)))))) | (~v203(constB190)) | (~((~v185(constB190)) | (~v204(constB190))))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30282,plain,
% 7.43/5.67 ((~(v203(constB190) <=> (~((~v185(constB190)) | (~v204(constB190)))))) | (~v203(constB190))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30281, 30280])).
% 7.43/5.67 tff(30283,plain,
% 7.43/5.67 (~v203(constB190)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30282, 30278])).
% 7.43/5.67 tff(30284,plain,
% 7.43/5.67 (((~v183(constB190)) | (~v203(constB190))) | v203(constB190)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30285,plain,
% 7.43/5.67 ((~v183(constB190)) | (~v203(constB190))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30284, 30283])).
% 7.43/5.67 tff(30286,plain,
% 7.43/5.67 ((~(v202(constB190) <=> (~((~v183(constB190)) | (~v203(constB190)))))) | (~v202(constB190)) | (~((~v183(constB190)) | (~v203(constB190))))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30287,plain,
% 7.43/5.67 (~v202(constB190)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30286, 30285, 30271])).
% 7.43/5.67 tff(30288,plain,
% 7.43/5.67 (((~v157(constB190)) | (~v202(constB190))) | v202(constB190)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30289,plain,
% 7.43/5.67 ((~v157(constB190)) | (~v202(constB190))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30288, 30287])).
% 7.43/5.67 tff(30290,plain,
% 7.43/5.67 ((~(v201(constB190) <=> (~((~v157(constB190)) | (~v202(constB190)))))) | (~v201(constB190)) | (~((~v157(constB190)) | (~v202(constB190))))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30291,plain,
% 7.43/5.67 (~v201(constB190)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30290, 30289, 30269])).
% 7.43/5.67 tff(30292,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB190) <=> (~((~v159(constB190)) | (~v202(constB190)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB190) <=> (~((~v159(constB190)) | (~v202(constB190))))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30293,plain,
% 7.43/5.67 ((v205(constB190) <=> (~((~v202(constB190)) | (~v159(constB190))))) <=> (v205(constB190) <=> (~((~v159(constB190)) | (~v202(constB190)))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30294,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB190) <=> (~((~v202(constB190)) | (~v159(constB190)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB190) <=> (~((~v159(constB190)) | (~v202(constB190))))))),
% 7.43/5.67 inference(monotonicity,[status(thm)],[30293])).
% 7.43/5.67 tff(30295,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB190) <=> (~((~v202(constB190)) | (~v159(constB190)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB190) <=> (~((~v159(constB190)) | (~v202(constB190))))))),
% 7.43/5.67 inference(transitivity,[status(thm)],[30294, 30292])).
% 7.43/5.67 tff(30296,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB190) <=> (~((~v202(constB190)) | (~v159(constB190)))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30297,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB190) <=> (~((~v159(constB190)) | (~v202(constB190)))))),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[30296, 30295])).
% 7.43/5.67 tff(30298,plain,
% 7.43/5.67 (v205(constB190) <=> (~((~v159(constB190)) | (~v202(constB190))))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30297, 138])).
% 7.43/5.67 tff(30299,plain,
% 7.43/5.67 (((~v159(constB190)) | (~v202(constB190))) | v202(constB190)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30300,plain,
% 7.43/5.67 ((~v159(constB190)) | (~v202(constB190))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30299, 30287])).
% 7.43/5.67 tff(30301,plain,
% 7.43/5.67 ((~(v205(constB190) <=> (~((~v159(constB190)) | (~v202(constB190)))))) | (~v205(constB190)) | (~((~v159(constB190)) | (~v202(constB190))))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30302,plain,
% 7.43/5.67 (~v205(constB190)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30301, 30300, 30298])).
% 7.43/5.67 tff(30303,plain,
% 7.43/5.67 ((~(v201(constB190) | v205(constB190))) | v201(constB190) | v205(constB190)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30304,plain,
% 7.43/5.67 (~(v201(constB190) | v205(constB190))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30303, 30302, 30291])).
% 7.43/5.67 tff(30305,plain,
% 7.43/5.67 ((~(v200(constB190) <=> (v201(constB190) | v205(constB190)))) | (~v200(constB190)) | (v201(constB190) | v205(constB190))),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.67 tff(30306,plain,
% 7.43/5.67 ((~(v200(constB190) <=> (v201(constB190) | v205(constB190)))) | (~v200(constB190))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30305, 30304])).
% 7.43/5.67 tff(30307,plain,
% 7.43/5.67 (~v200(constB190)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30306, 30262])).
% 7.43/5.67 tff(30308,plain,
% 7.43/5.67 ($false),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30307, 30260])).
% 7.43/5.67 tff(30309,plain,(~(constB190 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.43/5.67 tff(30310,assumption,(constB13 = VarCurr!0), introduced(assumption)).
% 7.43/5.67 tff(30311,plain,
% 7.43/5.67 (v200(constB13) <=> v200(VarCurr!0)),
% 7.43/5.67 inference(monotonicity,[status(thm)],[30310])).
% 7.43/5.67 tff(30312,plain,
% 7.43/5.67 (v200(VarCurr!0) <=> v200(constB13)),
% 7.43/5.67 inference(symmetry,[status(thm)],[30311])).
% 7.43/5.67 tff(30313,plain,
% 7.43/5.67 (v200(constB13)),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[27, 30312])).
% 7.43/5.67 tff(30314,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB13) <=> (v201(constB13) | v205(constB13)))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30315,plain,
% 7.43/5.67 (v200(constB13) <=> (v201(constB13) | v205(constB13))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30314, 35])).
% 7.43/5.67 tff(30316,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB13) <=> (~((~v157(constB13)) | (~v202(constB13)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB13) <=> (~((~v157(constB13)) | (~v202(constB13))))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30317,plain,
% 7.43/5.67 ((v201(constB13) <=> (~((~v202(constB13)) | (~v157(constB13))))) <=> (v201(constB13) <=> (~((~v157(constB13)) | (~v202(constB13)))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30318,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB13) <=> (~((~v202(constB13)) | (~v157(constB13)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB13) <=> (~((~v157(constB13)) | (~v202(constB13))))))),
% 7.43/5.67 inference(monotonicity,[status(thm)],[30317])).
% 7.43/5.67 tff(30319,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB13) <=> (~((~v202(constB13)) | (~v157(constB13)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB13) <=> (~((~v157(constB13)) | (~v202(constB13))))))),
% 7.43/5.67 inference(transitivity,[status(thm)],[30318, 30316])).
% 7.43/5.67 tff(30320,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB13) <=> (~((~v202(constB13)) | (~v157(constB13)))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30321,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB13) <=> (~((~v157(constB13)) | (~v202(constB13)))))),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[30320, 30319])).
% 7.43/5.67 tff(30322,plain,
% 7.43/5.67 (v201(constB13) <=> (~((~v157(constB13)) | (~v202(constB13))))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30321, 47])).
% 7.43/5.67 tff(30323,plain,
% 7.43/5.67 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB13) <=> v192(constB13))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30324,plain,
% 7.43/5.67 (v157(constB13) <=> v192(constB13)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30323, 15407])).
% 7.43/5.67 tff(30325,plain,
% 7.43/5.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB12, constB13)) | (v192(constB13) <=> v190(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB12, constB13)) | (v192(constB13) <=> v190(constB12)))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30326,plain,
% 7.43/5.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB12, constB13)) | (v192(constB13) <=> v190(constB12)))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30327,plain,
% 7.43/5.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB12, constB13)) | (v192(constB13) <=> v190(constB12))),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[30326, 30325])).
% 7.43/5.67 tff(30328,plain,
% 7.43/5.67 (v192(constB13) <=> v190(constB12)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30327, 4121, 15419])).
% 7.43/5.67 tff(30329,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB12) <=> (v193(constB12) | v196(constB12)))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30330,plain,
% 7.43/5.67 (v190(constB12) <=> (v193(constB12) | v196(constB12))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30329, 15430])).
% 7.43/5.67 tff(30331,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB12) <=> (~((~v157(constB12)) | (~v194(constB12)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB12) <=> (~((~v157(constB12)) | (~v194(constB12))))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30332,plain,
% 7.43/5.67 ((v193(constB12) <=> (~((~v194(constB12)) | (~v157(constB12))))) <=> (v193(constB12) <=> (~((~v157(constB12)) | (~v194(constB12)))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30333,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB12) <=> (~((~v194(constB12)) | (~v157(constB12)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB12) <=> (~((~v157(constB12)) | (~v194(constB12))))))),
% 7.43/5.67 inference(monotonicity,[status(thm)],[30332])).
% 7.43/5.67 tff(30334,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB12) <=> (~((~v194(constB12)) | (~v157(constB12)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB12) <=> (~((~v157(constB12)) | (~v194(constB12))))))),
% 7.43/5.67 inference(transitivity,[status(thm)],[30333, 30331])).
% 7.43/5.67 tff(30335,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB12) <=> (~((~v194(constB12)) | (~v157(constB12)))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30336,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB12) <=> (~((~v157(constB12)) | (~v194(constB12)))))),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[30335, 30334])).
% 7.43/5.67 tff(30337,plain,
% 7.43/5.67 (v193(constB12) <=> (~((~v157(constB12)) | (~v194(constB12))))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30336, 15442])).
% 7.43/5.67 tff(30338,plain,
% 7.43/5.67 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB12) <=> v192(constB12))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30339,plain,
% 7.43/5.67 (v157(constB12) <=> v192(constB12)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30338, 15407])).
% 7.43/5.67 tff(30340,plain,
% 7.43/5.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB11, constB12)) | (v192(constB12) <=> v190(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB11, constB12)) | (v192(constB12) <=> v190(constB11)))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30341,plain,
% 7.43/5.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB11, constB12)) | (v192(constB12) <=> v190(constB11)))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30342,plain,
% 7.43/5.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB11, constB12)) | (v192(constB12) <=> v190(constB11))),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[30341, 30340])).
% 7.43/5.67 tff(30343,plain,
% 7.43/5.67 (v192(constB12) <=> v190(constB11)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30342, 4157, 15419])).
% 7.43/5.67 tff(30344,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB11) <=> (v193(constB11) | v196(constB11)))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30345,plain,
% 7.43/5.67 (v190(constB11) <=> (v193(constB11) | v196(constB11))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30344, 15430])).
% 7.43/5.67 tff(30346,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB11) <=> (~((~v159(constB11)) | (~v194(constB11)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB11) <=> (~((~v159(constB11)) | (~v194(constB11))))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30347,plain,
% 7.43/5.67 ((v196(constB11) <=> (~((~v194(constB11)) | (~v159(constB11))))) <=> (v196(constB11) <=> (~((~v159(constB11)) | (~v194(constB11)))))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30348,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB11) <=> (~((~v194(constB11)) | (~v159(constB11)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB11) <=> (~((~v159(constB11)) | (~v194(constB11))))))),
% 7.43/5.67 inference(monotonicity,[status(thm)],[30347])).
% 7.43/5.67 tff(30349,plain,
% 7.43/5.67 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB11) <=> (~((~v194(constB11)) | (~v159(constB11)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB11) <=> (~((~v159(constB11)) | (~v194(constB11))))))),
% 7.43/5.67 inference(transitivity,[status(thm)],[30348, 30346])).
% 7.43/5.67 tff(30350,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB11) <=> (~((~v194(constB11)) | (~v159(constB11)))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30351,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB11) <=> (~((~v159(constB11)) | (~v194(constB11)))))),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[30350, 30349])).
% 7.43/5.67 tff(30352,plain,
% 7.43/5.67 (v196(constB11) <=> (~((~v159(constB11)) | (~v194(constB11))))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30351, 15467])).
% 7.43/5.67 tff(30353,plain,
% 7.43/5.67 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB11) <=> v182(constB11))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30354,plain,
% 7.43/5.67 (v159(constB11) <=> v182(constB11)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30353, 15113])).
% 7.43/5.67 tff(30355,plain,
% 7.43/5.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB10, constB11)) | (v182(constB11) <=> v180(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB10, constB11)) | (v182(constB11) <=> v180(constB10)))),
% 7.43/5.67 inference(rewrite,[status(thm)],[])).
% 7.43/5.67 tff(30356,plain,
% 7.43/5.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB10, constB11)) | (v182(constB11) <=> v180(constB10)))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30357,plain,
% 7.43/5.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB10, constB11)) | (v182(constB11) <=> v180(constB10))),
% 7.43/5.67 inference(modus_ponens,[status(thm)],[30356, 30355])).
% 7.43/5.67 tff(30358,plain,
% 7.43/5.67 (v182(constB11) <=> v180(constB10)),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30357, 4187, 15125])).
% 7.43/5.67 tff(30359,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB10) <=> (~((~v183(constB10)) | (~v184(constB10)))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30360,plain,
% 7.43/5.67 (v180(constB10) <=> (~((~v183(constB10)) | (~v184(constB10))))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30359, 15139])).
% 7.43/5.67 tff(30361,plain,
% 7.43/5.67 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB10) <=> (~((~v185(constB10)) | (~v161(constB10)))))),
% 7.43/5.67 inference(quant_inst,[status(thm)],[])).
% 7.43/5.67 tff(30362,plain,
% 7.43/5.67 (v184(constB10) <=> (~((~v185(constB10)) | (~v161(constB10))))),
% 7.43/5.67 inference(unit_resolution,[status(thm)],[30361, 15151])).
% 7.43/5.67 tff(30363,plain,
% 7.43/5.67 (((~v185(constB10)) | (~v161(constB10))) | v185(constB10)),
% 7.43/5.67 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30364,plain,
% 7.43/5.68 ((~v185(constB10)) | (~v161(constB10))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30363, 29342])).
% 7.43/5.68 tff(30365,plain,
% 7.43/5.68 ((~(v184(constB10) <=> (~((~v185(constB10)) | (~v161(constB10)))))) | (~v184(constB10)) | (~((~v185(constB10)) | (~v161(constB10))))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30366,plain,
% 7.43/5.68 ((~(v184(constB10) <=> (~((~v185(constB10)) | (~v161(constB10)))))) | (~v184(constB10))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30365, 30364])).
% 7.43/5.68 tff(30367,plain,
% 7.43/5.68 (~v184(constB10)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30366, 30362])).
% 7.43/5.68 tff(30368,plain,
% 7.43/5.68 (((~v183(constB10)) | (~v184(constB10))) | v184(constB10)),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30369,plain,
% 7.43/5.68 ((~v183(constB10)) | (~v184(constB10))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30368, 30367])).
% 7.43/5.68 tff(30370,plain,
% 7.43/5.68 ((~(v180(constB10) <=> (~((~v183(constB10)) | (~v184(constB10)))))) | (~v180(constB10)) | (~((~v183(constB10)) | (~v184(constB10))))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30371,plain,
% 7.43/5.68 (~v180(constB10)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30370, 30369, 30360])).
% 7.43/5.68 tff(30372,plain,
% 7.43/5.68 ((~(v182(constB11) <=> v180(constB10))) | (~v182(constB11)) | v180(constB10)),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30373,plain,
% 7.43/5.68 (~v182(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30372, 30371, 30358])).
% 7.43/5.68 tff(30374,plain,
% 7.43/5.68 ((~(v159(constB11) <=> v182(constB11))) | (~v159(constB11)) | v182(constB11)),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30375,plain,
% 7.43/5.68 (~v159(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30374, 30373, 30354])).
% 7.43/5.68 tff(30376,plain,
% 7.43/5.68 (((~v159(constB11)) | (~v194(constB11))) | v159(constB11)),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30377,plain,
% 7.43/5.68 ((~v159(constB11)) | (~v194(constB11))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30376, 30375])).
% 7.43/5.68 tff(30378,plain,
% 7.43/5.68 ((~(v196(constB11) <=> (~((~v159(constB11)) | (~v194(constB11)))))) | (~v196(constB11)) | (~((~v159(constB11)) | (~v194(constB11))))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30379,plain,
% 7.43/5.68 (~v196(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30378, 30377, 30352])).
% 7.43/5.68 tff(30380,plain,
% 7.43/5.68 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB11) <=> (~((~v157(constB11)) | (~v194(constB11)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB11) <=> (~((~v157(constB11)) | (~v194(constB11))))))),
% 7.43/5.68 inference(rewrite,[status(thm)],[])).
% 7.43/5.68 tff(30381,plain,
% 7.43/5.68 ((v193(constB11) <=> (~((~v194(constB11)) | (~v157(constB11))))) <=> (v193(constB11) <=> (~((~v157(constB11)) | (~v194(constB11)))))),
% 7.43/5.68 inference(rewrite,[status(thm)],[])).
% 7.43/5.68 tff(30382,plain,
% 7.43/5.68 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB11) <=> (~((~v194(constB11)) | (~v157(constB11)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB11) <=> (~((~v157(constB11)) | (~v194(constB11))))))),
% 7.43/5.68 inference(monotonicity,[status(thm)],[30381])).
% 7.43/5.68 tff(30383,plain,
% 7.43/5.68 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB11) <=> (~((~v194(constB11)) | (~v157(constB11)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB11) <=> (~((~v157(constB11)) | (~v194(constB11))))))),
% 7.43/5.68 inference(transitivity,[status(thm)],[30382, 30380])).
% 7.43/5.68 tff(30384,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB11) <=> (~((~v194(constB11)) | (~v157(constB11)))))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30385,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB11) <=> (~((~v157(constB11)) | (~v194(constB11)))))),
% 7.43/5.68 inference(modus_ponens,[status(thm)],[30384, 30383])).
% 7.43/5.68 tff(30386,plain,
% 7.43/5.68 (v193(constB11) <=> (~((~v157(constB11)) | (~v194(constB11))))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30385, 15442])).
% 7.43/5.68 tff(30387,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB11)) <=> v195(constB11))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30388,plain,
% 7.43/5.68 ((~v194(constB11)) <=> v195(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30387, 15527])).
% 7.43/5.68 tff(30389,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB11) <=> (v185(constB11) | v26(constB11)))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30390,plain,
% 7.43/5.68 (v195(constB11) <=> (v185(constB11) | v26(constB11))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30389, 15536])).
% 7.43/5.68 tff(30391,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB11) <=> (~((~v39(constB11)) | (~v9(constB11)))))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30392,plain,
% 7.43/5.68 (v185(constB11) <=> (~((~v39(constB11)) | (~v9(constB11))))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30391, 93])).
% 7.43/5.68 tff(30393,plain,
% 7.43/5.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11)))),
% 7.43/5.68 inference(rewrite,[status(thm)],[])).
% 7.43/5.68 tff(30394,plain,
% 7.43/5.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11)))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30395,plain,
% 7.43/5.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11))),
% 7.43/5.68 inference(modus_ponens,[status(thm)],[30394, 30393])).
% 7.43/5.68 tff(30396,plain,
% 7.43/5.68 (v13(constB12) <=> v9(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30395, 4157, 15550])).
% 7.43/5.68 tff(30397,plain,
% 7.43/5.68 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB12) <=> v13(constB12))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30398,plain,
% 7.43/5.68 (v6(constB12) <=> v13(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30397, 15564])).
% 7.43/5.68 tff(30399,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB12)) <=> v6(constB12))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30400,plain,
% 7.43/5.68 ((~v21(constB12)) <=> v6(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30399, 15573])).
% 7.43/5.68 tff(30401,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB12) <=> (v20(constB12) | v21(constB12)))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30402,plain,
% 7.43/5.68 (v19(constB12) <=> (v20(constB12) | v21(constB12))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30401, 15582])).
% 7.43/5.68 tff(30403,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB12) <=> (~((~v19(constB12)) | (~v22(constB12)))))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30404,plain,
% 7.43/5.68 (v18(constB12) <=> (~((~v19(constB12)) | (~v22(constB12))))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30403, 15594])).
% 7.43/5.68 tff(30405,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB12)) <=> v18(constB12))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30406,plain,
% 7.43/5.68 ((~v4(constB12)) <=> v18(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30405, 15603])).
% 7.43/5.68 tff(30407,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB12)),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30408,plain,
% 7.43/5.68 (v4(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30407, 15612])).
% 7.43/5.68 tff(30409,plain,
% 7.43/5.68 ((~((~v4(constB12)) <=> v18(constB12))) | (~v4(constB12)) | (~v18(constB12))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30410,plain,
% 7.43/5.68 (~v18(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30409, 30408, 30406])).
% 7.43/5.68 tff(30411,plain,
% 7.43/5.68 ((~(v18(constB12) <=> (~((~v19(constB12)) | (~v22(constB12)))))) | v18(constB12) | ((~v19(constB12)) | (~v22(constB12)))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30412,plain,
% 7.43/5.68 ((~v19(constB12)) | (~v22(constB12))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30411, 30410, 30404])).
% 7.43/5.68 tff(30413,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB12) <=> (v1(constB12) | v6(constB12)))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30414,plain,
% 7.43/5.68 (v22(constB12) <=> (v1(constB12) | v6(constB12))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30413, 15625])).
% 7.43/5.68 tff(30415,plain,
% 7.43/5.68 ((v1(constB12) | v6(constB12)) | (~v1(constB12))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30416,plain,
% 7.43/5.68 (v1(constB12) | v6(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30415, 5629])).
% 7.43/5.68 tff(30417,plain,
% 7.43/5.68 ((~(v22(constB12) <=> (v1(constB12) | v6(constB12)))) | v22(constB12) | (~(v1(constB12) | v6(constB12)))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30418,plain,
% 7.43/5.68 ((~(v22(constB12) <=> (v1(constB12) | v6(constB12)))) | v22(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30417, 30416])).
% 7.43/5.68 tff(30419,plain,
% 7.43/5.68 (v22(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30418, 30414])).
% 7.43/5.68 tff(30420,plain,
% 7.43/5.68 ((~((~v19(constB12)) | (~v22(constB12)))) | (~v19(constB12)) | (~v22(constB12))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30421,plain,
% 7.43/5.68 ((~((~v19(constB12)) | (~v22(constB12)))) | (~v19(constB12))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30420, 30419])).
% 7.43/5.68 tff(30422,plain,
% 7.43/5.68 (~v19(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30421, 30412])).
% 7.43/5.68 tff(30423,plain,
% 7.43/5.68 ((~(v19(constB12) <=> (v20(constB12) | v21(constB12)))) | v19(constB12) | (~(v20(constB12) | v21(constB12)))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30424,plain,
% 7.43/5.68 (~(v20(constB12) | v21(constB12))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30423, 30422, 30402])).
% 7.43/5.68 tff(30425,plain,
% 7.43/5.68 ((v20(constB12) | v21(constB12)) | (~v21(constB12))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30426,plain,
% 7.43/5.68 (~v21(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30425, 30424])).
% 7.43/5.68 tff(30427,plain,
% 7.43/5.68 ((~((~v21(constB12)) <=> v6(constB12))) | v21(constB12) | v6(constB12)),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30428,plain,
% 7.43/5.68 (v6(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30427, 30426, 30400])).
% 7.43/5.68 tff(30429,plain,
% 7.43/5.68 ((~(v6(constB12) <=> v13(constB12))) | (~v6(constB12)) | v13(constB12)),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30430,plain,
% 7.43/5.68 (v13(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30429, 30428, 30398])).
% 7.43/5.68 tff(30431,plain,
% 7.43/5.68 ((~(v13(constB12) <=> v9(constB11))) | (~v13(constB12)) | v9(constB11)),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30432,plain,
% 7.43/5.68 (v9(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30431, 30430, 30396])).
% 7.43/5.68 tff(30433,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB11)) <=> v1(constB11))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30434,plain,
% 7.43/5.68 ((~v39(constB11)) <=> v1(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30433, 102])).
% 7.43/5.68 tff(30435,plain,
% 7.43/5.68 ((~((~v39(constB11)) <=> v1(constB11))) | v39(constB11) | v1(constB11)),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30436,plain,
% 7.43/5.68 ((~((~v39(constB11)) <=> v1(constB11))) | v39(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30435, 4201])).
% 7.43/5.68 tff(30437,plain,
% 7.43/5.68 (v39(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30436, 30434])).
% 7.43/5.68 tff(30438,plain,
% 7.43/5.68 ((~((~v39(constB11)) | (~v9(constB11)))) | (~v39(constB11)) | (~v9(constB11))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30439,plain,
% 7.43/5.68 ((~((~v39(constB11)) | (~v9(constB11)))) | (~v9(constB11))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30438, 30437])).
% 7.43/5.68 tff(30440,plain,
% 7.43/5.68 (~((~v39(constB11)) | (~v9(constB11)))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30439, 30432])).
% 7.43/5.68 tff(30441,plain,
% 7.43/5.68 ((~(v185(constB11) <=> (~((~v39(constB11)) | (~v9(constB11)))))) | v185(constB11) | ((~v39(constB11)) | (~v9(constB11)))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30442,plain,
% 7.43/5.68 (v185(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30441, 30440, 30392])).
% 7.43/5.68 tff(30443,plain,
% 7.43/5.68 ((v185(constB11) | v26(constB11)) | (~v185(constB11))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30444,plain,
% 7.43/5.68 (v185(constB11) | v26(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30443, 30442])).
% 7.43/5.68 tff(30445,plain,
% 7.43/5.68 ((~(v195(constB11) <=> (v185(constB11) | v26(constB11)))) | v195(constB11) | (~(v185(constB11) | v26(constB11)))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30446,plain,
% 7.43/5.68 (v195(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30445, 30444, 30390])).
% 7.43/5.68 tff(30447,plain,
% 7.43/5.68 ((~((~v194(constB11)) <=> v195(constB11))) | (~v194(constB11)) | (~v195(constB11))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30448,plain,
% 7.43/5.68 (~v194(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30447, 30446, 30388])).
% 7.43/5.68 tff(30449,plain,
% 7.43/5.68 (((~v157(constB11)) | (~v194(constB11))) | v194(constB11)),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30450,plain,
% 7.43/5.68 ((~v157(constB11)) | (~v194(constB11))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30449, 30448])).
% 7.43/5.68 tff(30451,plain,
% 7.43/5.68 ((~(v193(constB11) <=> (~((~v157(constB11)) | (~v194(constB11)))))) | (~v193(constB11)) | (~((~v157(constB11)) | (~v194(constB11))))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30452,plain,
% 7.43/5.68 (~v193(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30451, 30450, 30386])).
% 7.43/5.68 tff(30453,plain,
% 7.43/5.68 ((~(v193(constB11) | v196(constB11))) | v193(constB11) | v196(constB11)),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30454,plain,
% 7.43/5.68 (~(v193(constB11) | v196(constB11))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30453, 30452, 30379])).
% 7.43/5.68 tff(30455,plain,
% 7.43/5.68 ((~(v190(constB11) <=> (v193(constB11) | v196(constB11)))) | (~v190(constB11)) | (v193(constB11) | v196(constB11))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30456,plain,
% 7.43/5.68 (~v190(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30455, 30454, 30345])).
% 7.43/5.68 tff(30457,plain,
% 7.43/5.68 ((~(v192(constB12) <=> v190(constB11))) | (~v192(constB12)) | v190(constB11)),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30458,plain,
% 7.43/5.68 (~v192(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30457, 30456, 30343])).
% 7.43/5.68 tff(30459,plain,
% 7.43/5.68 ((~(v157(constB12) <=> v192(constB12))) | (~v157(constB12)) | v192(constB12)),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30460,plain,
% 7.43/5.68 (~v157(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30459, 30458, 30339])).
% 7.43/5.68 tff(30461,plain,
% 7.43/5.68 (((~v157(constB12)) | (~v194(constB12))) | v157(constB12)),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30462,plain,
% 7.43/5.68 ((~v157(constB12)) | (~v194(constB12))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30461, 30460])).
% 7.43/5.68 tff(30463,plain,
% 7.43/5.68 ((~(v193(constB12) <=> (~((~v157(constB12)) | (~v194(constB12)))))) | (~v193(constB12)) | (~((~v157(constB12)) | (~v194(constB12))))),
% 7.43/5.68 inference(tautology,[status(thm)],[])).
% 7.43/5.68 tff(30464,plain,
% 7.43/5.68 (~v193(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30463, 30462, 30337])).
% 7.43/5.68 tff(30465,plain,
% 7.43/5.68 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB12) <=> (~((~v159(constB12)) | (~v194(constB12)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB12) <=> (~((~v159(constB12)) | (~v194(constB12))))))),
% 7.43/5.68 inference(rewrite,[status(thm)],[])).
% 7.43/5.68 tff(30466,plain,
% 7.43/5.68 ((v196(constB12) <=> (~((~v194(constB12)) | (~v159(constB12))))) <=> (v196(constB12) <=> (~((~v159(constB12)) | (~v194(constB12)))))),
% 7.43/5.68 inference(rewrite,[status(thm)],[])).
% 7.43/5.68 tff(30467,plain,
% 7.43/5.68 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB12) <=> (~((~v194(constB12)) | (~v159(constB12)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB12) <=> (~((~v159(constB12)) | (~v194(constB12))))))),
% 7.43/5.68 inference(monotonicity,[status(thm)],[30466])).
% 7.43/5.68 tff(30468,plain,
% 7.43/5.68 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB12) <=> (~((~v194(constB12)) | (~v159(constB12)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB12) <=> (~((~v159(constB12)) | (~v194(constB12))))))),
% 7.43/5.68 inference(transitivity,[status(thm)],[30467, 30465])).
% 7.43/5.68 tff(30469,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB12) <=> (~((~v194(constB12)) | (~v159(constB12)))))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30470,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB12) <=> (~((~v159(constB12)) | (~v194(constB12)))))),
% 7.43/5.68 inference(modus_ponens,[status(thm)],[30469, 30468])).
% 7.43/5.68 tff(30471,plain,
% 7.43/5.68 (v196(constB12) <=> (~((~v159(constB12)) | (~v194(constB12))))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30470, 15467])).
% 7.43/5.68 tff(30472,plain,
% 7.43/5.68 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB12) <=> v182(constB12))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30473,plain,
% 7.43/5.68 (v159(constB12) <=> v182(constB12)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30472, 15113])).
% 7.43/5.68 tff(30474,plain,
% 7.43/5.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB11, constB12)) | (v182(constB12) <=> v180(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB11, constB12)) | (v182(constB12) <=> v180(constB11)))),
% 7.43/5.68 inference(rewrite,[status(thm)],[])).
% 7.43/5.68 tff(30475,plain,
% 7.43/5.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB11, constB12)) | (v182(constB12) <=> v180(constB11)))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30476,plain,
% 7.43/5.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB11, constB12)) | (v182(constB12) <=> v180(constB11))),
% 7.43/5.68 inference(modus_ponens,[status(thm)],[30475, 30474])).
% 7.43/5.68 tff(30477,plain,
% 7.43/5.68 (v182(constB12) <=> v180(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30476, 4157, 15125])).
% 7.43/5.68 tff(30478,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB11) <=> (~((~v183(constB11)) | (~v184(constB11)))))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30479,plain,
% 7.43/5.68 (v180(constB11) <=> (~((~v183(constB11)) | (~v184(constB11))))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30478, 15139])).
% 7.43/5.68 tff(30480,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB11) <=> (~((~v185(constB11)) | (~v161(constB11)))))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30481,plain,
% 7.43/5.68 (v184(constB11) <=> (~((~v185(constB11)) | (~v161(constB11))))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30480, 15151])).
% 7.43/5.68 tff(30482,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB11) <=> v163(constB11))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30483,plain,
% 7.43/5.68 (v161(constB11) <=> v163(constB11)),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30482, 15701])).
% 7.43/5.68 tff(30484,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB11) <=> (v145(constB11) | v167(constB11)))),
% 7.43/5.68 inference(quant_inst,[status(thm)],[])).
% 7.43/5.68 tff(30485,plain,
% 7.43/5.68 (v166(constB11) <=> (v145(constB11) | v167(constB11))),
% 7.43/5.68 inference(unit_resolution,[status(thm)],[30484, 15713])).
% 7.43/5.68 tff(30486,plain,
% 7.43/5.68 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB11) <=> (v142(constB11) | v168(constB11)))),
% 7.49/5.68 inference(quant_inst,[status(thm)],[])).
% 7.49/5.68 tff(30487,plain,
% 7.49/5.68 (v167(constB11) <=> (v142(constB11) | v168(constB11))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30486, 15725])).
% 7.49/5.68 tff(30488,plain,
% 7.49/5.68 ((~![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB11) <=> (v141(constB11) | v169(constB11)))),
% 7.49/5.68 inference(quant_inst,[status(thm)],[])).
% 7.49/5.68 tff(30489,plain,
% 7.49/5.68 (v168(constB11) <=> (v141(constB11) | v169(constB11))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30488, 26253])).
% 7.49/5.68 tff(30490,plain,
% 7.49/5.68 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB11) <=> (~((~v88(constB11, 1)) | v88(constB11, 2) | (~v88(constB11, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB11) <=> (~((~v88(constB11, 1)) | v88(constB11, 2) | (~v88(constB11, 0))))))),
% 7.49/5.68 inference(rewrite,[status(thm)],[])).
% 7.49/5.68 tff(30491,plain,
% 7.49/5.68 ((v141(constB11) <=> (~(v88(constB11, 2) | (~v88(constB11, 1)) | (~v88(constB11, 0))))) <=> (v141(constB11) <=> (~((~v88(constB11, 1)) | v88(constB11, 2) | (~v88(constB11, 0)))))),
% 7.49/5.68 inference(rewrite,[status(thm)],[])).
% 7.49/5.68 tff(30492,plain,
% 7.49/5.68 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB11) <=> (~(v88(constB11, 2) | (~v88(constB11, 1)) | (~v88(constB11, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB11) <=> (~((~v88(constB11, 1)) | v88(constB11, 2) | (~v88(constB11, 0))))))),
% 7.49/5.68 inference(monotonicity,[status(thm)],[30491])).
% 7.49/5.68 tff(30493,plain,
% 7.49/5.68 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB11) <=> (~(v88(constB11, 2) | (~v88(constB11, 1)) | (~v88(constB11, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB11) <=> (~((~v88(constB11, 1)) | v88(constB11, 2) | (~v88(constB11, 0))))))),
% 7.49/5.68 inference(transitivity,[status(thm)],[30492, 30490])).
% 7.49/5.68 tff(30494,plain,
% 7.49/5.68 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB11) <=> (~(v88(constB11, 2) | (~v88(constB11, 1)) | (~v88(constB11, 0)))))),
% 7.49/5.68 inference(quant_inst,[status(thm)],[])).
% 7.49/5.68 tff(30495,plain,
% 7.49/5.68 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB11) <=> (~((~v88(constB11, 1)) | v88(constB11, 2) | (~v88(constB11, 0)))))),
% 7.49/5.68 inference(modus_ponens,[status(thm)],[30494, 30493])).
% 7.49/5.68 tff(30496,plain,
% 7.49/5.68 (v141(constB11) <=> (~((~v88(constB11, 1)) | v88(constB11, 2) | (~v88(constB11, 0))))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30495, 26268])).
% 7.49/5.68 tff(30497,plain,
% 7.49/5.68 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB11, 1)) <=> v90(constB11, 1)) | ((~v88(constB11, 2)) <=> v90(constB11, 2)) | ((~v88(constB11, 0)) <=> v90(constB11, 0))))),
% 7.49/5.68 inference(quant_inst,[status(thm)],[])).
% 7.49/5.68 tff(30498,plain,
% 7.49/5.68 (~(((~v88(constB11, 1)) <=> v90(constB11, 1)) | ((~v88(constB11, 2)) <=> v90(constB11, 2)) | ((~v88(constB11, 0)) <=> v90(constB11, 0)))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30497, 256])).
% 7.49/5.68 tff(30499,plain,
% 7.49/5.68 ((((~v88(constB11, 1)) <=> v90(constB11, 1)) | ((~v88(constB11, 2)) <=> v90(constB11, 2)) | ((~v88(constB11, 0)) <=> v90(constB11, 0))) | (~((~v88(constB11, 2)) <=> v90(constB11, 2)))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30500,plain,
% 7.49/5.68 (~((~v88(constB11, 2)) <=> v90(constB11, 2))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30499, 30498])).
% 7.49/5.68 tff(30501,plain,
% 7.49/5.68 (((~v88(constB11, 2)) <=> v90(constB11, 2)) | (~v88(constB11, 2)) | v90(constB11, 2)),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30502,plain,
% 7.49/5.68 (~v88(constB11, 2)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30501, 5535, 30500])).
% 7.49/5.68 tff(30503,plain,
% 7.49/5.68 ((((~v88(constB11, 1)) <=> v90(constB11, 1)) | ((~v88(constB11, 2)) <=> v90(constB11, 2)) | ((~v88(constB11, 0)) <=> v90(constB11, 0))) | (~((~v88(constB11, 0)) <=> v90(constB11, 0)))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30504,plain,
% 7.49/5.68 (~((~v88(constB11, 0)) <=> v90(constB11, 0))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30503, 30498])).
% 7.49/5.68 tff(30505,plain,
% 7.49/5.68 (((~v88(constB11, 0)) <=> v90(constB11, 0)) | v88(constB11, 0) | (~v90(constB11, 0))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30506,plain,
% 7.49/5.68 (v88(constB11, 0)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30505, 5553, 30504])).
% 7.49/5.68 tff(30507,plain,
% 7.49/5.68 ((((~v88(constB11, 1)) <=> v90(constB11, 1)) | ((~v88(constB11, 2)) <=> v90(constB11, 2)) | ((~v88(constB11, 0)) <=> v90(constB11, 0))) | (~((~v88(constB11, 1)) <=> v90(constB11, 1)))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30508,plain,
% 7.49/5.68 (~((~v88(constB11, 1)) <=> v90(constB11, 1))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30507, 30498])).
% 7.49/5.68 tff(30509,plain,
% 7.49/5.68 (((~v88(constB11, 1)) <=> v90(constB11, 1)) | v88(constB11, 1) | (~v90(constB11, 1))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30510,plain,
% 7.49/5.68 (v88(constB11, 1)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30509, 5571, 30508])).
% 7.49/5.68 tff(30511,plain,
% 7.49/5.68 ((~((~v88(constB11, 1)) | v88(constB11, 2) | (~v88(constB11, 0)))) | (~v88(constB11, 1)) | v88(constB11, 2) | (~v88(constB11, 0))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30512,plain,
% 7.49/5.68 (~((~v88(constB11, 1)) | v88(constB11, 2) | (~v88(constB11, 0)))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30511, 30510, 30506, 30502])).
% 7.49/5.68 tff(30513,plain,
% 7.49/5.68 ((~(v141(constB11) <=> (~((~v88(constB11, 1)) | v88(constB11, 2) | (~v88(constB11, 0)))))) | v141(constB11) | ((~v88(constB11, 1)) | v88(constB11, 2) | (~v88(constB11, 0)))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30514,plain,
% 7.49/5.68 (v141(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30513, 30512, 30496])).
% 7.49/5.68 tff(30515,plain,
% 7.49/5.68 ((v141(constB11) | v169(constB11)) | (~v141(constB11))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30516,plain,
% 7.49/5.68 (v141(constB11) | v169(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30515, 30514])).
% 7.49/5.68 tff(30517,plain,
% 7.49/5.68 ((~(v168(constB11) <=> (v141(constB11) | v169(constB11)))) | v168(constB11) | (~(v141(constB11) | v169(constB11)))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30518,plain,
% 7.49/5.68 (v168(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30517, 30516, 30489])).
% 7.49/5.68 tff(30519,plain,
% 7.49/5.68 ((v142(constB11) | v168(constB11)) | (~v168(constB11))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30520,plain,
% 7.49/5.68 (v142(constB11) | v168(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30519, 30518])).
% 7.49/5.68 tff(30521,plain,
% 7.49/5.68 ((~(v167(constB11) <=> (v142(constB11) | v168(constB11)))) | v167(constB11) | (~(v142(constB11) | v168(constB11)))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30522,plain,
% 7.49/5.68 ((~(v167(constB11) <=> (v142(constB11) | v168(constB11)))) | v167(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30521, 30520])).
% 7.49/5.68 tff(30523,plain,
% 7.49/5.68 (v167(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30522, 30487])).
% 7.49/5.68 tff(30524,plain,
% 7.49/5.68 ((v145(constB11) | v167(constB11)) | (~v167(constB11))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30525,plain,
% 7.49/5.68 (v145(constB11) | v167(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30524, 30523])).
% 7.49/5.68 tff(30526,plain,
% 7.49/5.68 ((~(v166(constB11) <=> (v145(constB11) | v167(constB11)))) | v166(constB11) | (~(v145(constB11) | v167(constB11)))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30527,plain,
% 7.49/5.68 (v166(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30526, 30525, 30485])).
% 7.49/5.68 tff(30528,plain,
% 7.49/5.68 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB11)) | (v163(constB11) <=> v170(constB11)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB11)) | (v163(constB11) <=> v170(constB11)))),
% 7.49/5.68 inference(rewrite,[status(thm)],[])).
% 7.49/5.68 tff(30529,plain,
% 7.49/5.68 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB11)) | (v163(constB11) <=> v170(constB11)))),
% 7.49/5.68 inference(quant_inst,[status(thm)],[])).
% 7.49/5.68 tff(30530,plain,
% 7.49/5.68 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB11)) | (v163(constB11) <=> v170(constB11))),
% 7.49/5.68 inference(modus_ponens,[status(thm)],[30529, 30528])).
% 7.49/5.68 tff(30531,plain,
% 7.49/5.68 ((~v166(constB11)) | (v163(constB11) <=> v170(constB11))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30530, 15777])).
% 7.49/5.68 tff(30532,plain,
% 7.49/5.68 (v163(constB11) <=> v170(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30531, 30527])).
% 7.49/5.68 tff(30533,plain,
% 7.49/5.68 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB11) <=> (~(v88(constB11, 0) | v88(constB11, 1) | v88(constB11, 2))))),
% 7.49/5.68 inference(quant_inst,[status(thm)],[])).
% 7.49/5.68 tff(30534,plain,
% 7.49/5.68 (v139(constB11) <=> (~(v88(constB11, 0) | v88(constB11, 1) | v88(constB11, 2)))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30533, 15795])).
% 7.49/5.68 tff(30535,plain,
% 7.49/5.68 ((v88(constB11, 0) | v88(constB11, 1) | v88(constB11, 2)) | (~v88(constB11, 0))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30536,plain,
% 7.49/5.68 (v88(constB11, 0) | v88(constB11, 1) | v88(constB11, 2)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30535, 30506])).
% 7.49/5.68 tff(30537,plain,
% 7.49/5.68 ((~(v139(constB11) <=> (~(v88(constB11, 0) | v88(constB11, 1) | v88(constB11, 2))))) | (~v139(constB11)) | (~(v88(constB11, 0) | v88(constB11, 1) | v88(constB11, 2)))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30538,plain,
% 7.49/5.68 (~v139(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30537, 30536, 30534])).
% 7.49/5.68 tff(30539,plain,
% 7.49/5.68 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB11) <=> (~(v88(constB11, 1) | v88(constB11, 2) | (~v88(constB11, 0)))))),
% 7.49/5.68 inference(quant_inst,[status(thm)],[])).
% 7.49/5.68 tff(30540,plain,
% 7.49/5.68 (v140(constB11) <=> (~(v88(constB11, 1) | v88(constB11, 2) | (~v88(constB11, 0))))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30539, 15814])).
% 7.49/5.68 tff(30541,plain,
% 7.49/5.68 ((v88(constB11, 1) | v88(constB11, 2) | (~v88(constB11, 0))) | (~v88(constB11, 1))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30542,plain,
% 7.49/5.68 (v88(constB11, 1) | v88(constB11, 2) | (~v88(constB11, 0))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30541, 30510])).
% 7.49/5.68 tff(30543,plain,
% 7.49/5.68 ((~(v140(constB11) <=> (~(v88(constB11, 1) | v88(constB11, 2) | (~v88(constB11, 0)))))) | (~v140(constB11)) | (~(v88(constB11, 1) | v88(constB11, 2) | (~v88(constB11, 0))))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30544,plain,
% 7.49/5.68 (~v140(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30543, 30542, 30540])).
% 7.49/5.68 tff(30545,plain,
% 7.49/5.68 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB11) | v139(constB11) | (~v170(constB11)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB11) | v139(constB11) | (~v170(constB11)))),
% 7.49/5.68 inference(rewrite,[status(thm)],[])).
% 7.49/5.68 tff(30546,plain,
% 7.49/5.68 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB11) | v139(constB11) | (~v170(constB11)))),
% 7.49/5.68 inference(quant_inst,[status(thm)],[])).
% 7.49/5.68 tff(30547,plain,
% 7.49/5.68 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB11) | v139(constB11) | (~v170(constB11))),
% 7.49/5.68 inference(modus_ponens,[status(thm)],[30546, 30545])).
% 7.49/5.68 tff(30548,plain,
% 7.49/5.68 (v140(constB11) | v139(constB11) | (~v170(constB11))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30547, 15833])).
% 7.49/5.68 tff(30549,plain,
% 7.49/5.68 (~v170(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30548, 30544, 30538])).
% 7.49/5.68 tff(30550,plain,
% 7.49/5.68 ((~(v163(constB11) <=> v170(constB11))) | (~v163(constB11)) | v170(constB11)),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30551,plain,
% 7.49/5.68 ((~(v163(constB11) <=> v170(constB11))) | (~v163(constB11))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30550, 30549])).
% 7.49/5.68 tff(30552,plain,
% 7.49/5.68 (~v163(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30551, 30532])).
% 7.49/5.68 tff(30553,plain,
% 7.49/5.68 ((~(v161(constB11) <=> v163(constB11))) | (~v161(constB11)) | v163(constB11)),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30554,plain,
% 7.49/5.68 ((~(v161(constB11) <=> v163(constB11))) | (~v161(constB11))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30553, 30552])).
% 7.49/5.68 tff(30555,plain,
% 7.49/5.68 (~v161(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30554, 30483])).
% 7.49/5.68 tff(30556,plain,
% 7.49/5.68 (((~v185(constB11)) | (~v161(constB11))) | v161(constB11)),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30557,plain,
% 7.49/5.68 ((~v185(constB11)) | (~v161(constB11))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30556, 30555])).
% 7.49/5.68 tff(30558,plain,
% 7.49/5.68 ((~(v184(constB11) <=> (~((~v185(constB11)) | (~v161(constB11)))))) | (~v184(constB11)) | (~((~v185(constB11)) | (~v161(constB11))))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30559,plain,
% 7.49/5.68 (~v184(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30558, 30557, 30481])).
% 7.49/5.68 tff(30560,plain,
% 7.49/5.68 (((~v183(constB11)) | (~v184(constB11))) | v184(constB11)),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30561,plain,
% 7.49/5.68 ((~v183(constB11)) | (~v184(constB11))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30560, 30559])).
% 7.49/5.68 tff(30562,plain,
% 7.49/5.68 ((~(v180(constB11) <=> (~((~v183(constB11)) | (~v184(constB11)))))) | (~v180(constB11)) | (~((~v183(constB11)) | (~v184(constB11))))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30563,plain,
% 7.49/5.68 (~v180(constB11)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30562, 30561, 30479])).
% 7.49/5.68 tff(30564,plain,
% 7.49/5.68 ((~(v182(constB12) <=> v180(constB11))) | (~v182(constB12)) | v180(constB11)),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30565,plain,
% 7.49/5.68 (~v182(constB12)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30564, 30563, 30477])).
% 7.49/5.68 tff(30566,plain,
% 7.49/5.68 ((~(v159(constB12) <=> v182(constB12))) | (~v159(constB12)) | v182(constB12)),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30567,plain,
% 7.49/5.68 (~v159(constB12)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30566, 30565, 30473])).
% 7.49/5.68 tff(30568,plain,
% 7.49/5.68 (((~v159(constB12)) | (~v194(constB12))) | v159(constB12)),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30569,plain,
% 7.49/5.68 ((~v159(constB12)) | (~v194(constB12))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30568, 30567])).
% 7.49/5.68 tff(30570,plain,
% 7.49/5.68 ((~(v196(constB12) <=> (~((~v159(constB12)) | (~v194(constB12)))))) | (~v196(constB12)) | (~((~v159(constB12)) | (~v194(constB12))))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30571,plain,
% 7.49/5.68 (~v196(constB12)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30570, 30569, 30471])).
% 7.49/5.68 tff(30572,plain,
% 7.49/5.68 ((~(v193(constB12) | v196(constB12))) | v193(constB12) | v196(constB12)),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30573,plain,
% 7.49/5.68 (~(v193(constB12) | v196(constB12))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30572, 30571, 30464])).
% 7.49/5.68 tff(30574,plain,
% 7.49/5.68 ((~(v190(constB12) <=> (v193(constB12) | v196(constB12)))) | (~v190(constB12)) | (v193(constB12) | v196(constB12))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30575,plain,
% 7.49/5.68 (~v190(constB12)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30574, 30573, 30330])).
% 7.49/5.68 tff(30576,plain,
% 7.49/5.68 ((~(v192(constB13) <=> v190(constB12))) | (~v192(constB13)) | v190(constB12)),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30577,plain,
% 7.49/5.68 (~v192(constB13)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30576, 30575, 30328])).
% 7.49/5.68 tff(30578,plain,
% 7.49/5.68 ((~(v157(constB13) <=> v192(constB13))) | (~v157(constB13)) | v192(constB13)),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30579,plain,
% 7.49/5.68 (~v157(constB13)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30578, 30577, 30324])).
% 7.49/5.68 tff(30580,plain,
% 7.49/5.68 (((~v157(constB13)) | (~v202(constB13))) | v157(constB13)),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30581,plain,
% 7.49/5.68 ((~v157(constB13)) | (~v202(constB13))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30580, 30579])).
% 7.49/5.68 tff(30582,plain,
% 7.49/5.68 ((~(v201(constB13) <=> (~((~v157(constB13)) | (~v202(constB13)))))) | (~v201(constB13)) | (~((~v157(constB13)) | (~v202(constB13))))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30583,plain,
% 7.49/5.68 (~v201(constB13)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30582, 30581, 30322])).
% 7.49/5.68 tff(30584,plain,
% 7.49/5.68 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB13) <=> (~((~v159(constB13)) | (~v202(constB13)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB13) <=> (~((~v159(constB13)) | (~v202(constB13))))))),
% 7.49/5.68 inference(rewrite,[status(thm)],[])).
% 7.49/5.68 tff(30585,plain,
% 7.49/5.68 ((v205(constB13) <=> (~((~v202(constB13)) | (~v159(constB13))))) <=> (v205(constB13) <=> (~((~v159(constB13)) | (~v202(constB13)))))),
% 7.49/5.68 inference(rewrite,[status(thm)],[])).
% 7.49/5.68 tff(30586,plain,
% 7.49/5.68 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB13) <=> (~((~v202(constB13)) | (~v159(constB13)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB13) <=> (~((~v159(constB13)) | (~v202(constB13))))))),
% 7.49/5.68 inference(monotonicity,[status(thm)],[30585])).
% 7.49/5.68 tff(30587,plain,
% 7.49/5.68 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB13) <=> (~((~v202(constB13)) | (~v159(constB13)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB13) <=> (~((~v159(constB13)) | (~v202(constB13))))))),
% 7.49/5.68 inference(transitivity,[status(thm)],[30586, 30584])).
% 7.49/5.68 tff(30588,plain,
% 7.49/5.68 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB13) <=> (~((~v202(constB13)) | (~v159(constB13)))))),
% 7.49/5.68 inference(quant_inst,[status(thm)],[])).
% 7.49/5.68 tff(30589,plain,
% 7.49/5.68 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB13) <=> (~((~v159(constB13)) | (~v202(constB13)))))),
% 7.49/5.68 inference(modus_ponens,[status(thm)],[30588, 30587])).
% 7.49/5.68 tff(30590,plain,
% 7.49/5.68 (v205(constB13) <=> (~((~v159(constB13)) | (~v202(constB13))))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30589, 138])).
% 7.49/5.68 tff(30591,plain,
% 7.49/5.68 (((~v159(constB13)) | (~v202(constB13))) | v159(constB13)),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30592,plain,
% 7.49/5.68 ((~v159(constB13)) | (~v202(constB13))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30591, 25079])).
% 7.49/5.68 tff(30593,plain,
% 7.49/5.68 ((~(v205(constB13) <=> (~((~v159(constB13)) | (~v202(constB13)))))) | (~v205(constB13)) | (~((~v159(constB13)) | (~v202(constB13))))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30594,plain,
% 7.49/5.68 (~v205(constB13)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30593, 30592, 30590])).
% 7.49/5.68 tff(30595,plain,
% 7.49/5.68 ((~(v201(constB13) | v205(constB13))) | v201(constB13) | v205(constB13)),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30596,plain,
% 7.49/5.68 ((~(v201(constB13) | v205(constB13))) | v201(constB13)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30595, 30594])).
% 7.49/5.68 tff(30597,plain,
% 7.49/5.68 (~(v201(constB13) | v205(constB13))),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30596, 30583])).
% 7.49/5.68 tff(30598,plain,
% 7.49/5.68 ((~(v200(constB13) <=> (v201(constB13) | v205(constB13)))) | (~v200(constB13)) | (v201(constB13) | v205(constB13))),
% 7.49/5.68 inference(tautology,[status(thm)],[])).
% 7.49/5.68 tff(30599,plain,
% 7.49/5.68 (~v200(constB13)),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30598, 30597, 30315])).
% 7.49/5.68 tff(30600,plain,
% 7.49/5.68 ($false),
% 7.49/5.68 inference(unit_resolution,[status(thm)],[30599, 30313])).
% 7.49/5.68 tff(30601,plain,(~(constB13 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.68 tff(30602,assumption,(constB88 = VarCurr!0), introduced(assumption)).
% 7.49/5.68 tff(30603,plain,
% 7.49/5.68 (v200(constB88) <=> v200(VarCurr!0)),
% 7.49/5.68 inference(monotonicity,[status(thm)],[30602])).
% 7.49/5.68 tff(30604,plain,
% 7.49/5.68 (v200(VarCurr!0) <=> v200(constB88)),
% 7.49/5.68 inference(symmetry,[status(thm)],[30603])).
% 7.49/5.69 tff(30605,plain,
% 7.49/5.69 (v200(constB88)),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[27, 30604])).
% 7.49/5.69 tff(30606,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB88) <=> (v201(constB88) | v205(constB88)))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30607,plain,
% 7.49/5.69 (v200(constB88) <=> (v201(constB88) | v205(constB88))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30606, 35])).
% 7.49/5.69 tff(30608,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB88) <=> (~((~v157(constB88)) | (~v202(constB88)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB88) <=> (~((~v157(constB88)) | (~v202(constB88))))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30609,plain,
% 7.49/5.69 ((v201(constB88) <=> (~((~v202(constB88)) | (~v157(constB88))))) <=> (v201(constB88) <=> (~((~v157(constB88)) | (~v202(constB88)))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30610,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB88) <=> (~((~v202(constB88)) | (~v157(constB88)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB88) <=> (~((~v157(constB88)) | (~v202(constB88))))))),
% 7.49/5.69 inference(monotonicity,[status(thm)],[30609])).
% 7.49/5.69 tff(30611,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB88) <=> (~((~v202(constB88)) | (~v157(constB88)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB88) <=> (~((~v157(constB88)) | (~v202(constB88))))))),
% 7.49/5.69 inference(transitivity,[status(thm)],[30610, 30608])).
% 7.49/5.69 tff(30612,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB88) <=> (~((~v202(constB88)) | (~v157(constB88)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30613,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB88) <=> (~((~v157(constB88)) | (~v202(constB88)))))),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[30612, 30611])).
% 7.49/5.69 tff(30614,plain,
% 7.49/5.69 (v201(constB88) <=> (~((~v157(constB88)) | (~v202(constB88))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30613, 47])).
% 7.49/5.69 tff(30615,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB88) <=> (~((~v183(constB88)) | (~v203(constB88)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30616,plain,
% 7.49/5.69 (v202(constB88) <=> (~((~v183(constB88)) | (~v203(constB88))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30615, 64])).
% 7.49/5.69 tff(30617,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB88) <=> (~((~v185(constB88)) | (~v204(constB88)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB88) <=> (~((~v185(constB88)) | (~v204(constB88))))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30618,plain,
% 7.49/5.69 ((v203(constB88) <=> (~((~v204(constB88)) | (~v185(constB88))))) <=> (v203(constB88) <=> (~((~v185(constB88)) | (~v204(constB88)))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30619,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB88) <=> (~((~v204(constB88)) | (~v185(constB88)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB88) <=> (~((~v185(constB88)) | (~v204(constB88))))))),
% 7.49/5.69 inference(monotonicity,[status(thm)],[30618])).
% 7.49/5.69 tff(30620,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB88) <=> (~((~v204(constB88)) | (~v185(constB88)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB88) <=> (~((~v185(constB88)) | (~v204(constB88))))))),
% 7.49/5.69 inference(transitivity,[status(thm)],[30619, 30617])).
% 7.49/5.69 tff(30621,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB88) <=> (~((~v204(constB88)) | (~v185(constB88)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30622,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB88) <=> (~((~v185(constB88)) | (~v204(constB88)))))),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[30621, 30620])).
% 7.49/5.69 tff(30623,plain,
% 7.49/5.69 (v203(constB88) <=> (~((~v185(constB88)) | (~v204(constB88))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30622, 76])).
% 7.49/5.69 tff(30624,plain,
% 7.49/5.69 (((~v185(constB88)) | (~v204(constB88))) | v185(constB88)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30625,plain,
% 7.49/5.69 ((~v185(constB88)) | (~v204(constB88))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30624, 15496])).
% 7.49/5.69 tff(30626,plain,
% 7.49/5.69 ((~(v203(constB88) <=> (~((~v185(constB88)) | (~v204(constB88)))))) | (~v203(constB88)) | (~((~v185(constB88)) | (~v204(constB88))))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30627,plain,
% 7.49/5.69 ((~(v203(constB88) <=> (~((~v185(constB88)) | (~v204(constB88)))))) | (~v203(constB88))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30626, 30625])).
% 7.49/5.69 tff(30628,plain,
% 7.49/5.69 (~v203(constB88)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30627, 30623])).
% 7.49/5.69 tff(30629,plain,
% 7.49/5.69 (((~v183(constB88)) | (~v203(constB88))) | v203(constB88)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30630,plain,
% 7.49/5.69 ((~v183(constB88)) | (~v203(constB88))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30629, 30628])).
% 7.49/5.69 tff(30631,plain,
% 7.49/5.69 ((~(v202(constB88) <=> (~((~v183(constB88)) | (~v203(constB88)))))) | (~v202(constB88)) | (~((~v183(constB88)) | (~v203(constB88))))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30632,plain,
% 7.49/5.69 (~v202(constB88)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30631, 30630, 30616])).
% 7.49/5.69 tff(30633,plain,
% 7.49/5.69 (((~v157(constB88)) | (~v202(constB88))) | v202(constB88)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30634,plain,
% 7.49/5.69 ((~v157(constB88)) | (~v202(constB88))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30633, 30632])).
% 7.49/5.69 tff(30635,plain,
% 7.49/5.69 ((~(v201(constB88) <=> (~((~v157(constB88)) | (~v202(constB88)))))) | (~v201(constB88)) | (~((~v157(constB88)) | (~v202(constB88))))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30636,plain,
% 7.49/5.69 (~v201(constB88)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30635, 30634, 30614])).
% 7.49/5.69 tff(30637,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB88) <=> (~((~v159(constB88)) | (~v202(constB88)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB88) <=> (~((~v159(constB88)) | (~v202(constB88))))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30638,plain,
% 7.49/5.69 ((v205(constB88) <=> (~((~v202(constB88)) | (~v159(constB88))))) <=> (v205(constB88) <=> (~((~v159(constB88)) | (~v202(constB88)))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30639,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB88) <=> (~((~v202(constB88)) | (~v159(constB88)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB88) <=> (~((~v159(constB88)) | (~v202(constB88))))))),
% 7.49/5.69 inference(monotonicity,[status(thm)],[30638])).
% 7.49/5.69 tff(30640,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB88) <=> (~((~v202(constB88)) | (~v159(constB88)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB88) <=> (~((~v159(constB88)) | (~v202(constB88))))))),
% 7.49/5.69 inference(transitivity,[status(thm)],[30639, 30637])).
% 7.49/5.69 tff(30641,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB88) <=> (~((~v202(constB88)) | (~v159(constB88)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30642,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB88) <=> (~((~v159(constB88)) | (~v202(constB88)))))),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[30641, 30640])).
% 7.49/5.69 tff(30643,plain,
% 7.49/5.69 (v205(constB88) <=> (~((~v159(constB88)) | (~v202(constB88))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30642, 138])).
% 7.49/5.69 tff(30644,plain,
% 7.49/5.69 (((~v159(constB88)) | (~v202(constB88))) | v202(constB88)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30645,plain,
% 7.49/5.69 ((~v159(constB88)) | (~v202(constB88))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30644, 30632])).
% 7.49/5.69 tff(30646,plain,
% 7.49/5.69 ((~(v205(constB88) <=> (~((~v159(constB88)) | (~v202(constB88)))))) | (~v205(constB88)) | (~((~v159(constB88)) | (~v202(constB88))))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30647,plain,
% 7.49/5.69 (~v205(constB88)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30646, 30645, 30643])).
% 7.49/5.69 tff(30648,plain,
% 7.49/5.69 ((~(v201(constB88) | v205(constB88))) | v201(constB88) | v205(constB88)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30649,plain,
% 7.49/5.69 (~(v201(constB88) | v205(constB88))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30648, 30647, 30636])).
% 7.49/5.69 tff(30650,plain,
% 7.49/5.69 ((~(v200(constB88) <=> (v201(constB88) | v205(constB88)))) | (~v200(constB88)) | (v201(constB88) | v205(constB88))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30651,plain,
% 7.49/5.69 ((~(v200(constB88) <=> (v201(constB88) | v205(constB88)))) | (~v200(constB88))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30650, 30649])).
% 7.49/5.69 tff(30652,plain,
% 7.49/5.69 (~v200(constB88)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30651, 30607])).
% 7.49/5.69 tff(30653,plain,
% 7.49/5.69 ($false),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30652, 30605])).
% 7.49/5.69 tff(30654,plain,(~(constB88 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.69 tff(30655,assumption,(constB25 = VarCurr!0), introduced(assumption)).
% 7.49/5.69 tff(30656,plain,
% 7.49/5.69 (v200(constB25) <=> v200(VarCurr!0)),
% 7.49/5.69 inference(monotonicity,[status(thm)],[30655])).
% 7.49/5.69 tff(30657,plain,
% 7.49/5.69 (v200(VarCurr!0) <=> v200(constB25)),
% 7.49/5.69 inference(symmetry,[status(thm)],[30656])).
% 7.49/5.69 tff(30658,plain,
% 7.49/5.69 (v200(constB25)),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[27, 30657])).
% 7.49/5.69 tff(30659,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB25) <=> (v201(constB25) | v205(constB25)))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30660,plain,
% 7.49/5.69 (v200(constB25) <=> (v201(constB25) | v205(constB25))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30659, 35])).
% 7.49/5.69 tff(30661,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB25) <=> (~((~v157(constB25)) | (~v202(constB25)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB25) <=> (~((~v157(constB25)) | (~v202(constB25))))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30662,plain,
% 7.49/5.69 ((v201(constB25) <=> (~((~v202(constB25)) | (~v157(constB25))))) <=> (v201(constB25) <=> (~((~v157(constB25)) | (~v202(constB25)))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30663,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB25) <=> (~((~v202(constB25)) | (~v157(constB25)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB25) <=> (~((~v157(constB25)) | (~v202(constB25))))))),
% 7.49/5.69 inference(monotonicity,[status(thm)],[30662])).
% 7.49/5.69 tff(30664,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB25) <=> (~((~v202(constB25)) | (~v157(constB25)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB25) <=> (~((~v157(constB25)) | (~v202(constB25))))))),
% 7.49/5.69 inference(transitivity,[status(thm)],[30663, 30661])).
% 7.49/5.69 tff(30665,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB25) <=> (~((~v202(constB25)) | (~v157(constB25)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30666,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB25) <=> (~((~v157(constB25)) | (~v202(constB25)))))),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[30665, 30664])).
% 7.49/5.69 tff(30667,plain,
% 7.49/5.69 (v201(constB25) <=> (~((~v157(constB25)) | (~v202(constB25))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30666, 47])).
% 7.49/5.69 tff(30668,plain,
% 7.49/5.69 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB25) <=> v192(constB25))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30669,plain,
% 7.49/5.69 (v157(constB25) <=> v192(constB25)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30668, 15407])).
% 7.49/5.69 tff(30670,plain,
% 7.49/5.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB24, constB25)) | (v192(constB25) <=> v190(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB24, constB25)) | (v192(constB25) <=> v190(constB24)))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30671,plain,
% 7.49/5.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB24, constB25)) | (v192(constB25) <=> v190(constB24)))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30672,plain,
% 7.49/5.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB24, constB25)) | (v192(constB25) <=> v190(constB24))),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[30671, 30670])).
% 7.49/5.69 tff(30673,plain,
% 7.49/5.69 (v192(constB25) <=> v190(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30672, 3735, 15419])).
% 7.49/5.69 tff(30674,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB24) <=> (v193(constB24) | v196(constB24)))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30675,plain,
% 7.49/5.69 (v190(constB24) <=> (v193(constB24) | v196(constB24))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30674, 15430])).
% 7.49/5.69 tff(30676,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB24) <=> (~((~v157(constB24)) | (~v194(constB24)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB24) <=> (~((~v157(constB24)) | (~v194(constB24))))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30677,plain,
% 7.49/5.69 ((v193(constB24) <=> (~((~v194(constB24)) | (~v157(constB24))))) <=> (v193(constB24) <=> (~((~v157(constB24)) | (~v194(constB24)))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30678,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB24) <=> (~((~v194(constB24)) | (~v157(constB24)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB24) <=> (~((~v157(constB24)) | (~v194(constB24))))))),
% 7.49/5.69 inference(monotonicity,[status(thm)],[30677])).
% 7.49/5.69 tff(30679,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB24) <=> (~((~v194(constB24)) | (~v157(constB24)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB24) <=> (~((~v157(constB24)) | (~v194(constB24))))))),
% 7.49/5.69 inference(transitivity,[status(thm)],[30678, 30676])).
% 7.49/5.69 tff(30680,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB24) <=> (~((~v194(constB24)) | (~v157(constB24)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30681,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB24) <=> (~((~v157(constB24)) | (~v194(constB24)))))),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[30680, 30679])).
% 7.49/5.69 tff(30682,plain,
% 7.49/5.69 (v193(constB24) <=> (~((~v157(constB24)) | (~v194(constB24))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30681, 15442])).
% 7.49/5.69 tff(30683,plain,
% 7.49/5.69 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB24) <=> v192(constB24))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30684,plain,
% 7.49/5.69 (v157(constB24) <=> v192(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30683, 15407])).
% 7.49/5.69 tff(30685,plain,
% 7.49/5.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB23, constB24)) | (v192(constB24) <=> v190(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB23, constB24)) | (v192(constB24) <=> v190(constB23)))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30686,plain,
% 7.49/5.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB23, constB24)) | (v192(constB24) <=> v190(constB23)))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30687,plain,
% 7.49/5.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB23, constB24)) | (v192(constB24) <=> v190(constB23))),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[30686, 30685])).
% 7.49/5.69 tff(30688,plain,
% 7.49/5.69 (v192(constB24) <=> v190(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30687, 3771, 15419])).
% 7.49/5.69 tff(30689,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB23) <=> (v193(constB23) | v196(constB23)))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30690,plain,
% 7.49/5.69 (v190(constB23) <=> (v193(constB23) | v196(constB23))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30689, 15430])).
% 7.49/5.69 tff(30691,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB23) <=> (~((~v159(constB23)) | (~v194(constB23)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB23) <=> (~((~v159(constB23)) | (~v194(constB23))))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30692,plain,
% 7.49/5.69 ((v196(constB23) <=> (~((~v194(constB23)) | (~v159(constB23))))) <=> (v196(constB23) <=> (~((~v159(constB23)) | (~v194(constB23)))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30693,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB23) <=> (~((~v194(constB23)) | (~v159(constB23)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB23) <=> (~((~v159(constB23)) | (~v194(constB23))))))),
% 7.49/5.69 inference(monotonicity,[status(thm)],[30692])).
% 7.49/5.69 tff(30694,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB23) <=> (~((~v194(constB23)) | (~v159(constB23)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB23) <=> (~((~v159(constB23)) | (~v194(constB23))))))),
% 7.49/5.69 inference(transitivity,[status(thm)],[30693, 30691])).
% 7.49/5.69 tff(30695,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB23) <=> (~((~v194(constB23)) | (~v159(constB23)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30696,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB23) <=> (~((~v159(constB23)) | (~v194(constB23)))))),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[30695, 30694])).
% 7.49/5.69 tff(30697,plain,
% 7.49/5.69 (v196(constB23) <=> (~((~v159(constB23)) | (~v194(constB23))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30696, 15467])).
% 7.49/5.69 tff(30698,plain,
% 7.49/5.69 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB23) <=> v182(constB23))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30699,plain,
% 7.49/5.69 (v159(constB23) <=> v182(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30698, 15113])).
% 7.49/5.69 tff(30700,plain,
% 7.49/5.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB22, constB23)) | (v182(constB23) <=> v180(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB22, constB23)) | (v182(constB23) <=> v180(constB22)))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30701,plain,
% 7.49/5.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB22, constB23)) | (v182(constB23) <=> v180(constB22)))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30702,plain,
% 7.49/5.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB22, constB23)) | (v182(constB23) <=> v180(constB22))),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[30701, 30700])).
% 7.49/5.69 tff(30703,plain,
% 7.49/5.69 (v182(constB23) <=> v180(constB22)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30702, 3801, 15125])).
% 7.49/5.69 tff(30704,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB22) <=> (~((~v183(constB22)) | (~v184(constB22)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30705,plain,
% 7.49/5.69 (v180(constB22) <=> (~((~v183(constB22)) | (~v184(constB22))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30704, 15139])).
% 7.49/5.69 tff(30706,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB22) <=> (~((~v185(constB22)) | (~v161(constB22)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30707,plain,
% 7.49/5.69 (v184(constB22) <=> (~((~v185(constB22)) | (~v161(constB22))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30706, 15151])).
% 7.49/5.69 tff(30708,plain,
% 7.49/5.69 (((~v185(constB22)) | (~v161(constB22))) | v185(constB22)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30709,plain,
% 7.49/5.69 ((~v185(constB22)) | (~v161(constB22))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30708, 29277])).
% 7.49/5.69 tff(30710,plain,
% 7.49/5.69 ((~(v184(constB22) <=> (~((~v185(constB22)) | (~v161(constB22)))))) | (~v184(constB22)) | (~((~v185(constB22)) | (~v161(constB22))))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30711,plain,
% 7.49/5.69 ((~(v184(constB22) <=> (~((~v185(constB22)) | (~v161(constB22)))))) | (~v184(constB22))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30710, 30709])).
% 7.49/5.69 tff(30712,plain,
% 7.49/5.69 (~v184(constB22)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30711, 30707])).
% 7.49/5.69 tff(30713,plain,
% 7.49/5.69 (((~v183(constB22)) | (~v184(constB22))) | v184(constB22)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30714,plain,
% 7.49/5.69 ((~v183(constB22)) | (~v184(constB22))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30713, 30712])).
% 7.49/5.69 tff(30715,plain,
% 7.49/5.69 ((~(v180(constB22) <=> (~((~v183(constB22)) | (~v184(constB22)))))) | (~v180(constB22)) | (~((~v183(constB22)) | (~v184(constB22))))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30716,plain,
% 7.49/5.69 (~v180(constB22)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30715, 30714, 30705])).
% 7.49/5.69 tff(30717,plain,
% 7.49/5.69 ((~(v182(constB23) <=> v180(constB22))) | (~v182(constB23)) | v180(constB22)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30718,plain,
% 7.49/5.69 (~v182(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30717, 30716, 30703])).
% 7.49/5.69 tff(30719,plain,
% 7.49/5.69 ((~(v159(constB23) <=> v182(constB23))) | (~v159(constB23)) | v182(constB23)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30720,plain,
% 7.49/5.69 (~v159(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30719, 30718, 30699])).
% 7.49/5.69 tff(30721,plain,
% 7.49/5.69 (((~v159(constB23)) | (~v194(constB23))) | v159(constB23)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30722,plain,
% 7.49/5.69 ((~v159(constB23)) | (~v194(constB23))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30721, 30720])).
% 7.49/5.69 tff(30723,plain,
% 7.49/5.69 ((~(v196(constB23) <=> (~((~v159(constB23)) | (~v194(constB23)))))) | (~v196(constB23)) | (~((~v159(constB23)) | (~v194(constB23))))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30724,plain,
% 7.49/5.69 (~v196(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30723, 30722, 30697])).
% 7.49/5.69 tff(30725,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB23) <=> (~((~v157(constB23)) | (~v194(constB23)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB23) <=> (~((~v157(constB23)) | (~v194(constB23))))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30726,plain,
% 7.49/5.69 ((v193(constB23) <=> (~((~v194(constB23)) | (~v157(constB23))))) <=> (v193(constB23) <=> (~((~v157(constB23)) | (~v194(constB23)))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30727,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB23) <=> (~((~v194(constB23)) | (~v157(constB23)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB23) <=> (~((~v157(constB23)) | (~v194(constB23))))))),
% 7.49/5.69 inference(monotonicity,[status(thm)],[30726])).
% 7.49/5.69 tff(30728,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB23) <=> (~((~v194(constB23)) | (~v157(constB23)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB23) <=> (~((~v157(constB23)) | (~v194(constB23))))))),
% 7.49/5.69 inference(transitivity,[status(thm)],[30727, 30725])).
% 7.49/5.69 tff(30729,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB23) <=> (~((~v194(constB23)) | (~v157(constB23)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30730,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB23) <=> (~((~v157(constB23)) | (~v194(constB23)))))),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[30729, 30728])).
% 7.49/5.69 tff(30731,plain,
% 7.49/5.69 (v193(constB23) <=> (~((~v157(constB23)) | (~v194(constB23))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30730, 15442])).
% 7.49/5.69 tff(30732,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB23)) <=> v195(constB23))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30733,plain,
% 7.49/5.69 ((~v194(constB23)) <=> v195(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30732, 15527])).
% 7.49/5.69 tff(30734,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB23) <=> (v185(constB23) | v26(constB23)))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30735,plain,
% 7.49/5.69 (v195(constB23) <=> (v185(constB23) | v26(constB23))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30734, 15536])).
% 7.49/5.69 tff(30736,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB23) <=> (~((~v39(constB23)) | (~v9(constB23)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30737,plain,
% 7.49/5.69 (v185(constB23) <=> (~((~v39(constB23)) | (~v9(constB23))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30736, 93])).
% 7.49/5.69 tff(30738,plain,
% 7.49/5.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB23, constB24)) | (v13(constB24) <=> v9(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB23, constB24)) | (v13(constB24) <=> v9(constB23)))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30739,plain,
% 7.49/5.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB23, constB24)) | (v13(constB24) <=> v9(constB23)))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30740,plain,
% 7.49/5.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB23, constB24)) | (v13(constB24) <=> v9(constB23))),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[30739, 30738])).
% 7.49/5.69 tff(30741,plain,
% 7.49/5.69 (v13(constB24) <=> v9(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30740, 3771, 15550])).
% 7.49/5.69 tff(30742,plain,
% 7.49/5.69 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB24) <=> v13(constB24))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30743,plain,
% 7.49/5.69 (v6(constB24) <=> v13(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30742, 15564])).
% 7.49/5.69 tff(30744,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB24)) <=> v6(constB24))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30745,plain,
% 7.49/5.69 ((~v21(constB24)) <=> v6(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30744, 15573])).
% 7.49/5.69 tff(30746,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB24) <=> (v20(constB24) | v21(constB24)))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30747,plain,
% 7.49/5.69 (v19(constB24) <=> (v20(constB24) | v21(constB24))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30746, 15582])).
% 7.49/5.69 tff(30748,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB24) <=> (~((~v19(constB24)) | (~v22(constB24)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30749,plain,
% 7.49/5.69 (v18(constB24) <=> (~((~v19(constB24)) | (~v22(constB24))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30748, 15594])).
% 7.49/5.69 tff(30750,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB24)) <=> v18(constB24))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30751,plain,
% 7.49/5.69 ((~v4(constB24)) <=> v18(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30750, 15603])).
% 7.49/5.69 tff(30752,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB24)),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30753,plain,
% 7.49/5.69 (v4(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30752, 15612])).
% 7.49/5.69 tff(30754,plain,
% 7.49/5.69 ((~((~v4(constB24)) <=> v18(constB24))) | (~v4(constB24)) | (~v18(constB24))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30755,plain,
% 7.49/5.69 (~v18(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30754, 30753, 30751])).
% 7.49/5.69 tff(30756,plain,
% 7.49/5.69 ((~(v18(constB24) <=> (~((~v19(constB24)) | (~v22(constB24)))))) | v18(constB24) | ((~v19(constB24)) | (~v22(constB24)))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30757,plain,
% 7.49/5.69 ((~v19(constB24)) | (~v22(constB24))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30756, 30755, 30749])).
% 7.49/5.69 tff(30758,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB24) <=> (v1(constB24) | v6(constB24)))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30759,plain,
% 7.49/5.69 (v22(constB24) <=> (v1(constB24) | v6(constB24))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30758, 15625])).
% 7.49/5.69 tff(30760,plain,
% 7.49/5.69 ((v1(constB24) | v6(constB24)) | (~v1(constB24))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30761,plain,
% 7.49/5.69 (v1(constB24) | v6(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30760, 6576])).
% 7.49/5.69 tff(30762,plain,
% 7.49/5.69 ((~(v22(constB24) <=> (v1(constB24) | v6(constB24)))) | v22(constB24) | (~(v1(constB24) | v6(constB24)))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30763,plain,
% 7.49/5.69 ((~(v22(constB24) <=> (v1(constB24) | v6(constB24)))) | v22(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30762, 30761])).
% 7.49/5.69 tff(30764,plain,
% 7.49/5.69 (v22(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30763, 30759])).
% 7.49/5.69 tff(30765,plain,
% 7.49/5.69 ((~((~v19(constB24)) | (~v22(constB24)))) | (~v19(constB24)) | (~v22(constB24))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30766,plain,
% 7.49/5.69 ((~((~v19(constB24)) | (~v22(constB24)))) | (~v19(constB24))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30765, 30764])).
% 7.49/5.69 tff(30767,plain,
% 7.49/5.69 (~v19(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30766, 30757])).
% 7.49/5.69 tff(30768,plain,
% 7.49/5.69 ((~(v19(constB24) <=> (v20(constB24) | v21(constB24)))) | v19(constB24) | (~(v20(constB24) | v21(constB24)))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30769,plain,
% 7.49/5.69 (~(v20(constB24) | v21(constB24))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30768, 30767, 30747])).
% 7.49/5.69 tff(30770,plain,
% 7.49/5.69 ((v20(constB24) | v21(constB24)) | (~v21(constB24))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30771,plain,
% 7.49/5.69 (~v21(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30770, 30769])).
% 7.49/5.69 tff(30772,plain,
% 7.49/5.69 ((~((~v21(constB24)) <=> v6(constB24))) | v21(constB24) | v6(constB24)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30773,plain,
% 7.49/5.69 (v6(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30772, 30771, 30745])).
% 7.49/5.69 tff(30774,plain,
% 7.49/5.69 ((~(v6(constB24) <=> v13(constB24))) | (~v6(constB24)) | v13(constB24)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30775,plain,
% 7.49/5.69 (v13(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30774, 30773, 30743])).
% 7.49/5.69 tff(30776,plain,
% 7.49/5.69 ((~(v13(constB24) <=> v9(constB23))) | (~v13(constB24)) | v9(constB23)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30777,plain,
% 7.49/5.69 (v9(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30776, 30775, 30741])).
% 7.49/5.69 tff(30778,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB23)) <=> v1(constB23))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30779,plain,
% 7.49/5.69 ((~v39(constB23)) <=> v1(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30778, 102])).
% 7.49/5.69 tff(30780,plain,
% 7.49/5.69 ((~((~v39(constB23)) <=> v1(constB23))) | v39(constB23) | v1(constB23)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30781,plain,
% 7.49/5.69 ((~((~v39(constB23)) <=> v1(constB23))) | v39(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30780, 3815])).
% 7.49/5.69 tff(30782,plain,
% 7.49/5.69 (v39(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30781, 30779])).
% 7.49/5.69 tff(30783,plain,
% 7.49/5.69 ((~((~v39(constB23)) | (~v9(constB23)))) | (~v39(constB23)) | (~v9(constB23))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30784,plain,
% 7.49/5.69 ((~((~v39(constB23)) | (~v9(constB23)))) | (~v9(constB23))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30783, 30782])).
% 7.49/5.69 tff(30785,plain,
% 7.49/5.69 (~((~v39(constB23)) | (~v9(constB23)))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30784, 30777])).
% 7.49/5.69 tff(30786,plain,
% 7.49/5.69 ((~(v185(constB23) <=> (~((~v39(constB23)) | (~v9(constB23)))))) | v185(constB23) | ((~v39(constB23)) | (~v9(constB23)))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30787,plain,
% 7.49/5.69 (v185(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30786, 30785, 30737])).
% 7.49/5.69 tff(30788,plain,
% 7.49/5.69 ((v185(constB23) | v26(constB23)) | (~v185(constB23))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30789,plain,
% 7.49/5.69 (v185(constB23) | v26(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30788, 30787])).
% 7.49/5.69 tff(30790,plain,
% 7.49/5.69 ((~(v195(constB23) <=> (v185(constB23) | v26(constB23)))) | v195(constB23) | (~(v185(constB23) | v26(constB23)))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30791,plain,
% 7.49/5.69 (v195(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30790, 30789, 30735])).
% 7.49/5.69 tff(30792,plain,
% 7.49/5.69 ((~((~v194(constB23)) <=> v195(constB23))) | (~v194(constB23)) | (~v195(constB23))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30793,plain,
% 7.49/5.69 (~v194(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30792, 30791, 30733])).
% 7.49/5.69 tff(30794,plain,
% 7.49/5.69 (((~v157(constB23)) | (~v194(constB23))) | v194(constB23)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30795,plain,
% 7.49/5.69 ((~v157(constB23)) | (~v194(constB23))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30794, 30793])).
% 7.49/5.69 tff(30796,plain,
% 7.49/5.69 ((~(v193(constB23) <=> (~((~v157(constB23)) | (~v194(constB23)))))) | (~v193(constB23)) | (~((~v157(constB23)) | (~v194(constB23))))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30797,plain,
% 7.49/5.69 (~v193(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30796, 30795, 30731])).
% 7.49/5.69 tff(30798,plain,
% 7.49/5.69 ((~(v193(constB23) | v196(constB23))) | v193(constB23) | v196(constB23)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30799,plain,
% 7.49/5.69 (~(v193(constB23) | v196(constB23))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30798, 30797, 30724])).
% 7.49/5.69 tff(30800,plain,
% 7.49/5.69 ((~(v190(constB23) <=> (v193(constB23) | v196(constB23)))) | (~v190(constB23)) | (v193(constB23) | v196(constB23))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30801,plain,
% 7.49/5.69 (~v190(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30800, 30799, 30690])).
% 7.49/5.69 tff(30802,plain,
% 7.49/5.69 ((~(v192(constB24) <=> v190(constB23))) | (~v192(constB24)) | v190(constB23)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30803,plain,
% 7.49/5.69 (~v192(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30802, 30801, 30688])).
% 7.49/5.69 tff(30804,plain,
% 7.49/5.69 ((~(v157(constB24) <=> v192(constB24))) | (~v157(constB24)) | v192(constB24)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30805,plain,
% 7.49/5.69 (~v157(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30804, 30803, 30684])).
% 7.49/5.69 tff(30806,plain,
% 7.49/5.69 (((~v157(constB24)) | (~v194(constB24))) | v157(constB24)),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30807,plain,
% 7.49/5.69 ((~v157(constB24)) | (~v194(constB24))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30806, 30805])).
% 7.49/5.69 tff(30808,plain,
% 7.49/5.69 ((~(v193(constB24) <=> (~((~v157(constB24)) | (~v194(constB24)))))) | (~v193(constB24)) | (~((~v157(constB24)) | (~v194(constB24))))),
% 7.49/5.69 inference(tautology,[status(thm)],[])).
% 7.49/5.69 tff(30809,plain,
% 7.49/5.69 (~v193(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30808, 30807, 30682])).
% 7.49/5.69 tff(30810,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB24) <=> (~((~v159(constB24)) | (~v194(constB24)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB24) <=> (~((~v159(constB24)) | (~v194(constB24))))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30811,plain,
% 7.49/5.69 ((v196(constB24) <=> (~((~v194(constB24)) | (~v159(constB24))))) <=> (v196(constB24) <=> (~((~v159(constB24)) | (~v194(constB24)))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30812,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB24) <=> (~((~v194(constB24)) | (~v159(constB24)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB24) <=> (~((~v159(constB24)) | (~v194(constB24))))))),
% 7.49/5.69 inference(monotonicity,[status(thm)],[30811])).
% 7.49/5.69 tff(30813,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB24) <=> (~((~v194(constB24)) | (~v159(constB24)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB24) <=> (~((~v159(constB24)) | (~v194(constB24))))))),
% 7.49/5.69 inference(transitivity,[status(thm)],[30812, 30810])).
% 7.49/5.69 tff(30814,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB24) <=> (~((~v194(constB24)) | (~v159(constB24)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30815,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB24) <=> (~((~v159(constB24)) | (~v194(constB24)))))),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[30814, 30813])).
% 7.49/5.69 tff(30816,plain,
% 7.49/5.69 (v196(constB24) <=> (~((~v159(constB24)) | (~v194(constB24))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30815, 15467])).
% 7.49/5.69 tff(30817,plain,
% 7.49/5.69 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB24) <=> v182(constB24))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30818,plain,
% 7.49/5.69 (v159(constB24) <=> v182(constB24)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30817, 15113])).
% 7.49/5.69 tff(30819,plain,
% 7.49/5.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB23, constB24)) | (v182(constB24) <=> v180(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB23, constB24)) | (v182(constB24) <=> v180(constB23)))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30820,plain,
% 7.49/5.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB23, constB24)) | (v182(constB24) <=> v180(constB23)))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30821,plain,
% 7.49/5.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB23, constB24)) | (v182(constB24) <=> v180(constB23))),
% 7.49/5.69 inference(modus_ponens,[status(thm)],[30820, 30819])).
% 7.49/5.69 tff(30822,plain,
% 7.49/5.69 (v182(constB24) <=> v180(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30821, 3771, 15125])).
% 7.49/5.69 tff(30823,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB23) <=> (~((~v183(constB23)) | (~v184(constB23)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30824,plain,
% 7.49/5.69 (v180(constB23) <=> (~((~v183(constB23)) | (~v184(constB23))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30823, 15139])).
% 7.49/5.69 tff(30825,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB23) <=> (~((~v185(constB23)) | (~v161(constB23)))))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30826,plain,
% 7.49/5.69 (v184(constB23) <=> (~((~v185(constB23)) | (~v161(constB23))))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30825, 15151])).
% 7.49/5.69 tff(30827,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB23) <=> v163(constB23))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30828,plain,
% 7.49/5.69 (v161(constB23) <=> v163(constB23)),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30827, 15701])).
% 7.49/5.69 tff(30829,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB23) <=> (v145(constB23) | v167(constB23)))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30830,plain,
% 7.49/5.69 (v166(constB23) <=> (v145(constB23) | v167(constB23))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30829, 15713])).
% 7.49/5.69 tff(30831,plain,
% 7.49/5.69 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB23) <=> (v146(constB23) | v147(constB23)))),
% 7.49/5.69 inference(quant_inst,[status(thm)],[])).
% 7.49/5.69 tff(30832,plain,
% 7.49/5.69 (v145(constB23) <=> (v146(constB23) | v147(constB23))),
% 7.49/5.69 inference(unit_resolution,[status(thm)],[30831, 25196])).
% 7.49/5.69 tff(30833,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB23) <=> (~(v88(constB23, 1) | (~v88(constB23, 2)) | v88(constB23, 0))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB23) <=> (~(v88(constB23, 1) | (~v88(constB23, 2)) | v88(constB23, 0)))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30834,plain,
% 7.49/5.69 ((v146(constB23) <=> (~(v88(constB23, 0) | v88(constB23, 1) | (~v88(constB23, 2))))) <=> (v146(constB23) <=> (~(v88(constB23, 1) | (~v88(constB23, 2)) | v88(constB23, 0))))),
% 7.49/5.69 inference(rewrite,[status(thm)],[])).
% 7.49/5.69 tff(30835,plain,
% 7.49/5.69 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB23) <=> (~(v88(constB23, 0) | v88(constB23, 1) | (~v88(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB23) <=> (~(v88(constB23, 1) | (~v88(constB23, 2)) | v88(constB23, 0)))))),
% 7.49/5.70 inference(monotonicity,[status(thm)],[30834])).
% 7.49/5.70 tff(30836,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB23) <=> (~(v88(constB23, 0) | v88(constB23, 1) | (~v88(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB23) <=> (~(v88(constB23, 1) | (~v88(constB23, 2)) | v88(constB23, 0)))))),
% 7.49/5.70 inference(transitivity,[status(thm)],[30835, 30833])).
% 7.49/5.70 tff(30837,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB23) <=> (~(v88(constB23, 0) | v88(constB23, 1) | (~v88(constB23, 2)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30838,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB23) <=> (~(v88(constB23, 1) | (~v88(constB23, 2)) | v88(constB23, 0))))),
% 7.49/5.70 inference(modus_ponens,[status(thm)],[30837, 30836])).
% 7.49/5.70 tff(30839,plain,
% 7.49/5.70 (v146(constB23) <=> (~(v88(constB23, 1) | (~v88(constB23, 2)) | v88(constB23, 0)))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30838, 25211])).
% 7.49/5.70 tff(30840,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB23, 1)) <=> v90(constB23, 1)) | ((~v88(constB23, 2)) <=> v90(constB23, 2)) | ((~v88(constB23, 0)) <=> v90(constB23, 0))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30841,plain,
% 7.49/5.70 (~(((~v88(constB23, 1)) <=> v90(constB23, 1)) | ((~v88(constB23, 2)) <=> v90(constB23, 2)) | ((~v88(constB23, 0)) <=> v90(constB23, 0)))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30840, 256])).
% 7.49/5.70 tff(30842,plain,
% 7.49/5.70 ((((~v88(constB23, 1)) <=> v90(constB23, 1)) | ((~v88(constB23, 2)) <=> v90(constB23, 2)) | ((~v88(constB23, 0)) <=> v90(constB23, 0))) | (~((~v88(constB23, 2)) <=> v90(constB23, 2)))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30843,plain,
% 7.49/5.70 (~((~v88(constB23, 2)) <=> v90(constB23, 2))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30842, 30841])).
% 7.49/5.70 tff(30844,plain,
% 7.49/5.70 (((~v88(constB23, 2)) <=> v90(constB23, 2)) | v88(constB23, 2) | (~v90(constB23, 2))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30845,plain,
% 7.49/5.70 (v88(constB23, 2)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30844, 6498, 30843])).
% 7.49/5.70 tff(30846,plain,
% 7.49/5.70 ((((~v88(constB23, 1)) <=> v90(constB23, 1)) | ((~v88(constB23, 2)) <=> v90(constB23, 2)) | ((~v88(constB23, 0)) <=> v90(constB23, 0))) | (~((~v88(constB23, 0)) <=> v90(constB23, 0)))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30847,plain,
% 7.49/5.70 (~((~v88(constB23, 0)) <=> v90(constB23, 0))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30846, 30841])).
% 7.49/5.70 tff(30848,plain,
% 7.49/5.70 (((~v88(constB23, 0)) <=> v90(constB23, 0)) | (~v88(constB23, 0)) | v90(constB23, 0)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30849,plain,
% 7.49/5.70 (~v88(constB23, 0)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30848, 6516, 30847])).
% 7.49/5.70 tff(30850,plain,
% 7.49/5.70 ((((~v88(constB23, 1)) <=> v90(constB23, 1)) | ((~v88(constB23, 2)) <=> v90(constB23, 2)) | ((~v88(constB23, 0)) <=> v90(constB23, 0))) | (~((~v88(constB23, 1)) <=> v90(constB23, 1)))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30851,plain,
% 7.49/5.70 (~((~v88(constB23, 1)) <=> v90(constB23, 1))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30850, 30841])).
% 7.49/5.70 tff(30852,plain,
% 7.49/5.70 (((~v88(constB23, 1)) <=> v90(constB23, 1)) | (~v88(constB23, 1)) | v90(constB23, 1)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30853,plain,
% 7.49/5.70 (~v88(constB23, 1)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30852, 6534, 30851])).
% 7.49/5.70 tff(30854,plain,
% 7.49/5.70 ((~(v88(constB23, 1) | (~v88(constB23, 2)) | v88(constB23, 0))) | v88(constB23, 1) | (~v88(constB23, 2)) | v88(constB23, 0)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30855,plain,
% 7.49/5.70 (~(v88(constB23, 1) | (~v88(constB23, 2)) | v88(constB23, 0))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30854, 30853, 30849, 30845])).
% 7.49/5.70 tff(30856,plain,
% 7.49/5.70 ((~(v146(constB23) <=> (~(v88(constB23, 1) | (~v88(constB23, 2)) | v88(constB23, 0))))) | v146(constB23) | (v88(constB23, 1) | (~v88(constB23, 2)) | v88(constB23, 0))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30857,plain,
% 7.49/5.70 (v146(constB23)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30856, 30855, 30839])).
% 7.49/5.70 tff(30858,plain,
% 7.49/5.70 ((v146(constB23) | v147(constB23)) | (~v146(constB23))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30859,plain,
% 7.49/5.70 (v146(constB23) | v147(constB23)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30858, 30857])).
% 7.49/5.70 tff(30860,plain,
% 7.49/5.70 ((~(v145(constB23) <=> (v146(constB23) | v147(constB23)))) | v145(constB23) | (~(v146(constB23) | v147(constB23)))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30861,plain,
% 7.49/5.70 (v145(constB23)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30860, 30859, 30832])).
% 7.49/5.70 tff(30862,plain,
% 7.49/5.70 ((v145(constB23) | v167(constB23)) | (~v145(constB23))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30863,plain,
% 7.49/5.70 (v145(constB23) | v167(constB23)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30862, 30861])).
% 7.49/5.70 tff(30864,plain,
% 7.49/5.70 ((~(v166(constB23) <=> (v145(constB23) | v167(constB23)))) | v166(constB23) | (~(v145(constB23) | v167(constB23)))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30865,plain,
% 7.49/5.70 ((~(v166(constB23) <=> (v145(constB23) | v167(constB23)))) | v166(constB23)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30864, 30863])).
% 7.49/5.70 tff(30866,plain,
% 7.49/5.70 (v166(constB23)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30865, 30830])).
% 7.49/5.70 tff(30867,plain,
% 7.49/5.70 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB23)) | (v163(constB23) <=> v170(constB23)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB23)) | (v163(constB23) <=> v170(constB23)))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(30868,plain,
% 7.49/5.70 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB23)) | (v163(constB23) <=> v170(constB23)))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30869,plain,
% 7.49/5.70 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB23)) | (v163(constB23) <=> v170(constB23))),
% 7.49/5.70 inference(modus_ponens,[status(thm)],[30868, 30867])).
% 7.49/5.70 tff(30870,plain,
% 7.49/5.70 ((~v166(constB23)) | (v163(constB23) <=> v170(constB23))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30869, 15777])).
% 7.49/5.70 tff(30871,plain,
% 7.49/5.70 (v163(constB23) <=> v170(constB23)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30870, 30866])).
% 7.49/5.70 tff(30872,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB23) <=> (~(v88(constB23, 1) | v88(constB23, 2) | (~v88(constB23, 0)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30873,plain,
% 7.49/5.70 (v140(constB23) <=> (~(v88(constB23, 1) | v88(constB23, 2) | (~v88(constB23, 0))))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30872, 15814])).
% 7.49/5.70 tff(30874,plain,
% 7.49/5.70 ((v88(constB23, 1) | v88(constB23, 2) | (~v88(constB23, 0))) | v88(constB23, 0)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30875,plain,
% 7.49/5.70 (v88(constB23, 1) | v88(constB23, 2) | (~v88(constB23, 0))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30874, 30849])).
% 7.49/5.70 tff(30876,plain,
% 7.49/5.70 ((~(v140(constB23) <=> (~(v88(constB23, 1) | v88(constB23, 2) | (~v88(constB23, 0)))))) | (~v140(constB23)) | (~(v88(constB23, 1) | v88(constB23, 2) | (~v88(constB23, 0))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30877,plain,
% 7.49/5.70 (~v140(constB23)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30876, 30875, 30873])).
% 7.49/5.70 tff(30878,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB23) <=> (~(v88(constB23, 0) | v88(constB23, 1) | v88(constB23, 2))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30879,plain,
% 7.49/5.70 (v139(constB23) <=> (~(v88(constB23, 0) | v88(constB23, 1) | v88(constB23, 2)))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30878, 15795])).
% 7.49/5.70 tff(30880,plain,
% 7.49/5.70 ((v88(constB23, 0) | v88(constB23, 1) | v88(constB23, 2)) | (~v88(constB23, 2))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30881,plain,
% 7.49/5.70 (v88(constB23, 0) | v88(constB23, 1) | v88(constB23, 2)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30880, 30845])).
% 7.49/5.70 tff(30882,plain,
% 7.49/5.70 ((~(v139(constB23) <=> (~(v88(constB23, 0) | v88(constB23, 1) | v88(constB23, 2))))) | (~v139(constB23)) | (~(v88(constB23, 0) | v88(constB23, 1) | v88(constB23, 2)))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30883,plain,
% 7.49/5.70 (~v139(constB23)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30882, 30881, 30879])).
% 7.49/5.70 tff(30884,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB23) | v139(constB23) | (~v170(constB23)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB23) | v139(constB23) | (~v170(constB23)))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(30885,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB23) | v139(constB23) | (~v170(constB23)))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30886,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB23) | v139(constB23) | (~v170(constB23))),
% 7.49/5.70 inference(modus_ponens,[status(thm)],[30885, 30884])).
% 7.49/5.70 tff(30887,plain,
% 7.49/5.70 (v140(constB23) | v139(constB23) | (~v170(constB23))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30886, 15833])).
% 7.49/5.70 tff(30888,plain,
% 7.49/5.70 (~v170(constB23)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30887, 30883, 30877])).
% 7.49/5.70 tff(30889,plain,
% 7.49/5.70 ((~(v163(constB23) <=> v170(constB23))) | (~v163(constB23)) | v170(constB23)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30890,plain,
% 7.49/5.70 ((~(v163(constB23) <=> v170(constB23))) | (~v163(constB23))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30889, 30888])).
% 7.49/5.70 tff(30891,plain,
% 7.49/5.70 (~v163(constB23)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30890, 30871])).
% 7.49/5.70 tff(30892,plain,
% 7.49/5.70 ((~(v161(constB23) <=> v163(constB23))) | (~v161(constB23)) | v163(constB23)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30893,plain,
% 7.49/5.70 ((~(v161(constB23) <=> v163(constB23))) | (~v161(constB23))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30892, 30891])).
% 7.49/5.70 tff(30894,plain,
% 7.49/5.70 (~v161(constB23)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30893, 30828])).
% 7.49/5.70 tff(30895,plain,
% 7.49/5.70 (((~v185(constB23)) | (~v161(constB23))) | v161(constB23)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30896,plain,
% 7.49/5.70 ((~v185(constB23)) | (~v161(constB23))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30895, 30894])).
% 7.49/5.70 tff(30897,plain,
% 7.49/5.70 ((~(v184(constB23) <=> (~((~v185(constB23)) | (~v161(constB23)))))) | (~v184(constB23)) | (~((~v185(constB23)) | (~v161(constB23))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30898,plain,
% 7.49/5.70 (~v184(constB23)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30897, 30896, 30826])).
% 7.49/5.70 tff(30899,plain,
% 7.49/5.70 (((~v183(constB23)) | (~v184(constB23))) | v184(constB23)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30900,plain,
% 7.49/5.70 ((~v183(constB23)) | (~v184(constB23))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30899, 30898])).
% 7.49/5.70 tff(30901,plain,
% 7.49/5.70 ((~(v180(constB23) <=> (~((~v183(constB23)) | (~v184(constB23)))))) | (~v180(constB23)) | (~((~v183(constB23)) | (~v184(constB23))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30902,plain,
% 7.49/5.70 (~v180(constB23)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30901, 30900, 30824])).
% 7.49/5.70 tff(30903,plain,
% 7.49/5.70 ((~(v182(constB24) <=> v180(constB23))) | (~v182(constB24)) | v180(constB23)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30904,plain,
% 7.49/5.70 (~v182(constB24)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30903, 30902, 30822])).
% 7.49/5.70 tff(30905,plain,
% 7.49/5.70 ((~(v159(constB24) <=> v182(constB24))) | (~v159(constB24)) | v182(constB24)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30906,plain,
% 7.49/5.70 (~v159(constB24)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30905, 30904, 30818])).
% 7.49/5.70 tff(30907,plain,
% 7.49/5.70 (((~v159(constB24)) | (~v194(constB24))) | v159(constB24)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30908,plain,
% 7.49/5.70 ((~v159(constB24)) | (~v194(constB24))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30907, 30906])).
% 7.49/5.70 tff(30909,plain,
% 7.49/5.70 ((~(v196(constB24) <=> (~((~v159(constB24)) | (~v194(constB24)))))) | (~v196(constB24)) | (~((~v159(constB24)) | (~v194(constB24))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30910,plain,
% 7.49/5.70 (~v196(constB24)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30909, 30908, 30816])).
% 7.49/5.70 tff(30911,plain,
% 7.49/5.70 ((~(v193(constB24) | v196(constB24))) | v193(constB24) | v196(constB24)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30912,plain,
% 7.49/5.70 (~(v193(constB24) | v196(constB24))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30911, 30910, 30809])).
% 7.49/5.70 tff(30913,plain,
% 7.49/5.70 ((~(v190(constB24) <=> (v193(constB24) | v196(constB24)))) | (~v190(constB24)) | (v193(constB24) | v196(constB24))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30914,plain,
% 7.49/5.70 (~v190(constB24)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30913, 30912, 30675])).
% 7.49/5.70 tff(30915,plain,
% 7.49/5.70 ((~(v192(constB25) <=> v190(constB24))) | (~v192(constB25)) | v190(constB24)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30916,plain,
% 7.49/5.70 (~v192(constB25)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30915, 30914, 30673])).
% 7.49/5.70 tff(30917,plain,
% 7.49/5.70 ((~(v157(constB25) <=> v192(constB25))) | (~v157(constB25)) | v192(constB25)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30918,plain,
% 7.49/5.70 (~v157(constB25)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30917, 30916, 30669])).
% 7.49/5.70 tff(30919,plain,
% 7.49/5.70 (((~v157(constB25)) | (~v202(constB25))) | v157(constB25)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30920,plain,
% 7.49/5.70 ((~v157(constB25)) | (~v202(constB25))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30919, 30918])).
% 7.49/5.70 tff(30921,plain,
% 7.49/5.70 ((~(v201(constB25) <=> (~((~v157(constB25)) | (~v202(constB25)))))) | (~v201(constB25)) | (~((~v157(constB25)) | (~v202(constB25))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30922,plain,
% 7.49/5.70 (~v201(constB25)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30921, 30920, 30667])).
% 7.49/5.70 tff(30923,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB25) <=> (~((~v159(constB25)) | (~v202(constB25)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB25) <=> (~((~v159(constB25)) | (~v202(constB25))))))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(30924,plain,
% 7.49/5.70 ((v205(constB25) <=> (~((~v202(constB25)) | (~v159(constB25))))) <=> (v205(constB25) <=> (~((~v159(constB25)) | (~v202(constB25)))))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(30925,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB25) <=> (~((~v202(constB25)) | (~v159(constB25)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB25) <=> (~((~v159(constB25)) | (~v202(constB25))))))),
% 7.49/5.70 inference(monotonicity,[status(thm)],[30924])).
% 7.49/5.70 tff(30926,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB25) <=> (~((~v202(constB25)) | (~v159(constB25)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB25) <=> (~((~v159(constB25)) | (~v202(constB25))))))),
% 7.49/5.70 inference(transitivity,[status(thm)],[30925, 30923])).
% 7.49/5.70 tff(30927,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB25) <=> (~((~v202(constB25)) | (~v159(constB25)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30928,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB25) <=> (~((~v159(constB25)) | (~v202(constB25)))))),
% 7.49/5.70 inference(modus_ponens,[status(thm)],[30927, 30926])).
% 7.49/5.70 tff(30929,plain,
% 7.49/5.70 (v205(constB25) <=> (~((~v159(constB25)) | (~v202(constB25))))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30928, 138])).
% 7.49/5.70 tff(30930,plain,
% 7.49/5.70 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB25) <=> v182(constB25))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30931,plain,
% 7.49/5.70 (v159(constB25) <=> v182(constB25)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30930, 15113])).
% 7.49/5.70 tff(30932,plain,
% 7.49/5.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB24, constB25)) | (v182(constB25) <=> v180(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB24, constB25)) | (v182(constB25) <=> v180(constB24)))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(30933,plain,
% 7.49/5.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB24, constB25)) | (v182(constB25) <=> v180(constB24)))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30934,plain,
% 7.49/5.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB24, constB25)) | (v182(constB25) <=> v180(constB24))),
% 7.49/5.70 inference(modus_ponens,[status(thm)],[30933, 30932])).
% 7.49/5.70 tff(30935,plain,
% 7.49/5.70 (v182(constB25) <=> v180(constB24)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30934, 3735, 15125])).
% 7.49/5.70 tff(30936,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB24) <=> (~((~v183(constB24)) | (~v184(constB24)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30937,plain,
% 7.49/5.70 (v180(constB24) <=> (~((~v183(constB24)) | (~v184(constB24))))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30936, 15139])).
% 7.49/5.70 tff(30938,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB24) <=> (~((~v185(constB24)) | (~v161(constB24)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30939,plain,
% 7.49/5.70 (v184(constB24) <=> (~((~v185(constB24)) | (~v161(constB24))))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30938, 15151])).
% 7.49/5.70 tff(30940,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB24) <=> (~((~v39(constB24)) | (~v9(constB24)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30941,plain,
% 7.49/5.70 (v185(constB24) <=> (~((~v39(constB24)) | (~v9(constB24))))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30940, 93])).
% 7.49/5.70 tff(30942,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB24)) <=> v1(constB24))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30943,plain,
% 7.49/5.70 ((~v39(constB24)) <=> v1(constB24)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30942, 102])).
% 7.49/5.70 tff(30944,plain,
% 7.49/5.70 ((~((~v39(constB24)) <=> v1(constB24))) | (~v39(constB24)) | (~v1(constB24))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30945,plain,
% 7.49/5.70 ((~((~v39(constB24)) <=> v1(constB24))) | (~v39(constB24))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30944, 6576])).
% 7.49/5.70 tff(30946,plain,
% 7.49/5.70 (~v39(constB24)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30945, 30943])).
% 7.49/5.70 tff(30947,plain,
% 7.49/5.70 (((~v39(constB24)) | (~v9(constB24))) | v39(constB24)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30948,plain,
% 7.49/5.70 ((~v39(constB24)) | (~v9(constB24))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30947, 30946])).
% 7.49/5.70 tff(30949,plain,
% 7.49/5.70 ((~(v185(constB24) <=> (~((~v39(constB24)) | (~v9(constB24)))))) | (~v185(constB24)) | (~((~v39(constB24)) | (~v9(constB24))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30950,plain,
% 7.49/5.70 ((~(v185(constB24) <=> (~((~v39(constB24)) | (~v9(constB24)))))) | (~v185(constB24))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30949, 30948])).
% 7.49/5.70 tff(30951,plain,
% 7.49/5.70 (~v185(constB24)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30950, 30941])).
% 7.49/5.70 tff(30952,plain,
% 7.49/5.70 (((~v185(constB24)) | (~v161(constB24))) | v185(constB24)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30953,plain,
% 7.49/5.70 ((~v185(constB24)) | (~v161(constB24))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30952, 30951])).
% 7.49/5.70 tff(30954,plain,
% 7.49/5.70 ((~(v184(constB24) <=> (~((~v185(constB24)) | (~v161(constB24)))))) | (~v184(constB24)) | (~((~v185(constB24)) | (~v161(constB24))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30955,plain,
% 7.49/5.70 ((~(v184(constB24) <=> (~((~v185(constB24)) | (~v161(constB24)))))) | (~v184(constB24))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30954, 30953])).
% 7.49/5.70 tff(30956,plain,
% 7.49/5.70 (~v184(constB24)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30955, 30939])).
% 7.49/5.70 tff(30957,plain,
% 7.49/5.70 (((~v183(constB24)) | (~v184(constB24))) | v184(constB24)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30958,plain,
% 7.49/5.70 ((~v183(constB24)) | (~v184(constB24))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30957, 30956])).
% 7.49/5.70 tff(30959,plain,
% 7.49/5.70 ((~(v180(constB24) <=> (~((~v183(constB24)) | (~v184(constB24)))))) | (~v180(constB24)) | (~((~v183(constB24)) | (~v184(constB24))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30960,plain,
% 7.49/5.70 (~v180(constB24)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30959, 30958, 30937])).
% 7.49/5.70 tff(30961,plain,
% 7.49/5.70 ((~(v182(constB25) <=> v180(constB24))) | (~v182(constB25)) | v180(constB24)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30962,plain,
% 7.49/5.70 (~v182(constB25)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30961, 30960, 30935])).
% 7.49/5.70 tff(30963,plain,
% 7.49/5.70 ((~(v159(constB25) <=> v182(constB25))) | (~v159(constB25)) | v182(constB25)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30964,plain,
% 7.49/5.70 (~v159(constB25)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30963, 30962, 30931])).
% 7.49/5.70 tff(30965,plain,
% 7.49/5.70 (((~v159(constB25)) | (~v202(constB25))) | v159(constB25)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30966,plain,
% 7.49/5.70 ((~v159(constB25)) | (~v202(constB25))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30965, 30964])).
% 7.49/5.70 tff(30967,plain,
% 7.49/5.70 ((~(v205(constB25) <=> (~((~v159(constB25)) | (~v202(constB25)))))) | (~v205(constB25)) | (~((~v159(constB25)) | (~v202(constB25))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30968,plain,
% 7.49/5.70 (~v205(constB25)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30967, 30966, 30929])).
% 7.49/5.70 tff(30969,plain,
% 7.49/5.70 ((~(v201(constB25) | v205(constB25))) | v201(constB25) | v205(constB25)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30970,plain,
% 7.49/5.70 ((~(v201(constB25) | v205(constB25))) | v201(constB25)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30969, 30968])).
% 7.49/5.70 tff(30971,plain,
% 7.49/5.70 (~(v201(constB25) | v205(constB25))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30970, 30922])).
% 7.49/5.70 tff(30972,plain,
% 7.49/5.70 ((~(v200(constB25) <=> (v201(constB25) | v205(constB25)))) | (~v200(constB25)) | (v201(constB25) | v205(constB25))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(30973,plain,
% 7.49/5.70 (~v200(constB25)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30972, 30971, 30660])).
% 7.49/5.70 tff(30974,plain,
% 7.49/5.70 ($false),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30973, 30658])).
% 7.49/5.70 tff(30975,plain,(~(constB25 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.70 tff(30976,assumption,(constB200 = VarCurr!0), introduced(assumption)).
% 7.49/5.70 tff(30977,plain,
% 7.49/5.70 (v200(constB200) <=> v200(VarCurr!0)),
% 7.49/5.70 inference(monotonicity,[status(thm)],[30976])).
% 7.49/5.70 tff(30978,plain,
% 7.49/5.70 (v200(VarCurr!0) <=> v200(constB200)),
% 7.49/5.70 inference(symmetry,[status(thm)],[30977])).
% 7.49/5.70 tff(30979,plain,
% 7.49/5.70 (v200(constB200)),
% 7.49/5.70 inference(modus_ponens,[status(thm)],[27, 30978])).
% 7.49/5.70 tff(30980,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB200) <=> (v201(constB200) | v205(constB200)))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30981,plain,
% 7.49/5.70 (v200(constB200) <=> (v201(constB200) | v205(constB200))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30980, 35])).
% 7.49/5.70 tff(30982,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB200) <=> (~((~v159(constB200)) | (~v202(constB200)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB200) <=> (~((~v159(constB200)) | (~v202(constB200))))))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(30983,plain,
% 7.49/5.70 ((v205(constB200) <=> (~((~v202(constB200)) | (~v159(constB200))))) <=> (v205(constB200) <=> (~((~v159(constB200)) | (~v202(constB200)))))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(30984,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB200) <=> (~((~v202(constB200)) | (~v159(constB200)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB200) <=> (~((~v159(constB200)) | (~v202(constB200))))))),
% 7.49/5.70 inference(monotonicity,[status(thm)],[30983])).
% 7.49/5.70 tff(30985,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB200) <=> (~((~v202(constB200)) | (~v159(constB200)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB200) <=> (~((~v159(constB200)) | (~v202(constB200))))))),
% 7.49/5.70 inference(transitivity,[status(thm)],[30984, 30982])).
% 7.49/5.70 tff(30986,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB200) <=> (~((~v202(constB200)) | (~v159(constB200)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30987,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB200) <=> (~((~v159(constB200)) | (~v202(constB200)))))),
% 7.49/5.70 inference(modus_ponens,[status(thm)],[30986, 30985])).
% 7.49/5.70 tff(30988,plain,
% 7.49/5.70 (v205(constB200) <=> (~((~v159(constB200)) | (~v202(constB200))))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30987, 138])).
% 7.49/5.70 tff(30989,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB200) <=> (~((~v183(constB200)) | (~v203(constB200)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30990,plain,
% 7.49/5.70 (v202(constB200) <=> (~((~v183(constB200)) | (~v203(constB200))))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30989, 64])).
% 7.49/5.70 tff(30991,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB200) <=> (~((~v185(constB200)) | (~v204(constB200)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB200) <=> (~((~v185(constB200)) | (~v204(constB200))))))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(30992,plain,
% 7.49/5.70 ((v203(constB200) <=> (~((~v204(constB200)) | (~v185(constB200))))) <=> (v203(constB200) <=> (~((~v185(constB200)) | (~v204(constB200)))))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(30993,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB200) <=> (~((~v204(constB200)) | (~v185(constB200)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB200) <=> (~((~v185(constB200)) | (~v204(constB200))))))),
% 7.49/5.70 inference(monotonicity,[status(thm)],[30992])).
% 7.49/5.70 tff(30994,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB200) <=> (~((~v204(constB200)) | (~v185(constB200)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB200) <=> (~((~v185(constB200)) | (~v204(constB200))))))),
% 7.49/5.70 inference(transitivity,[status(thm)],[30993, 30991])).
% 7.49/5.70 tff(30995,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB200) <=> (~((~v204(constB200)) | (~v185(constB200)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30996,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB200) <=> (~((~v185(constB200)) | (~v204(constB200)))))),
% 7.49/5.70 inference(modus_ponens,[status(thm)],[30995, 30994])).
% 7.49/5.70 tff(30997,plain,
% 7.49/5.70 (v203(constB200) <=> (~((~v185(constB200)) | (~v204(constB200))))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30996, 76])).
% 7.49/5.70 tff(30998,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB200) <=> (~((~v39(constB200)) | (~v9(constB200)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(30999,plain,
% 7.49/5.70 (v185(constB200) <=> (~((~v39(constB200)) | (~v9(constB200))))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[30998, 93])).
% 7.49/5.70 tff(31000,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB200)) <=> v1(constB200))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(31001,plain,
% 7.49/5.70 ((~v39(constB200)) <=> v1(constB200)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31000, 102])).
% 7.49/5.70 tff(31002,plain,
% 7.49/5.70 (v1(constB200) <=> v1(constB200)),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(31003,axiom,(v1(constB200)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_200')).
% 7.49/5.70 tff(31004,plain,
% 7.49/5.70 (v1(constB200)),
% 7.49/5.70 inference(modus_ponens,[status(thm)],[31003, 31002])).
% 7.49/5.70 tff(31005,plain,
% 7.49/5.70 ((~((~v39(constB200)) <=> v1(constB200))) | (~v39(constB200)) | (~v1(constB200))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31006,plain,
% 7.49/5.70 ((~((~v39(constB200)) <=> v1(constB200))) | (~v39(constB200))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31005, 31004])).
% 7.49/5.70 tff(31007,plain,
% 7.49/5.70 (~v39(constB200)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31006, 31001])).
% 7.49/5.70 tff(31008,plain,
% 7.49/5.70 (((~v39(constB200)) | (~v9(constB200))) | v39(constB200)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31009,plain,
% 7.49/5.70 ((~v39(constB200)) | (~v9(constB200))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31008, 31007])).
% 7.49/5.70 tff(31010,plain,
% 7.49/5.70 ((~(v185(constB200) <=> (~((~v39(constB200)) | (~v9(constB200)))))) | (~v185(constB200)) | (~((~v39(constB200)) | (~v9(constB200))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31011,plain,
% 7.49/5.70 ((~(v185(constB200) <=> (~((~v39(constB200)) | (~v9(constB200)))))) | (~v185(constB200))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31010, 31009])).
% 7.49/5.70 tff(31012,plain,
% 7.49/5.70 (~v185(constB200)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31011, 30999])).
% 7.49/5.70 tff(31013,plain,
% 7.49/5.70 (((~v185(constB200)) | (~v204(constB200))) | v185(constB200)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31014,plain,
% 7.49/5.70 ((~v185(constB200)) | (~v204(constB200))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31013, 31012])).
% 7.49/5.70 tff(31015,plain,
% 7.49/5.70 ((~(v203(constB200) <=> (~((~v185(constB200)) | (~v204(constB200)))))) | (~v203(constB200)) | (~((~v185(constB200)) | (~v204(constB200))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31016,plain,
% 7.49/5.70 ((~(v203(constB200) <=> (~((~v185(constB200)) | (~v204(constB200)))))) | (~v203(constB200))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31015, 31014])).
% 7.49/5.70 tff(31017,plain,
% 7.49/5.70 (~v203(constB200)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31016, 30997])).
% 7.49/5.70 tff(31018,plain,
% 7.49/5.70 (((~v183(constB200)) | (~v203(constB200))) | v203(constB200)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31019,plain,
% 7.49/5.70 ((~v183(constB200)) | (~v203(constB200))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31018, 31017])).
% 7.49/5.70 tff(31020,plain,
% 7.49/5.70 ((~(v202(constB200) <=> (~((~v183(constB200)) | (~v203(constB200)))))) | (~v202(constB200)) | (~((~v183(constB200)) | (~v203(constB200))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31021,plain,
% 7.49/5.70 ((~(v202(constB200) <=> (~((~v183(constB200)) | (~v203(constB200)))))) | (~v202(constB200))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31020, 31019])).
% 7.49/5.70 tff(31022,plain,
% 7.49/5.70 (~v202(constB200)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31021, 30990])).
% 7.49/5.70 tff(31023,plain,
% 7.49/5.70 (((~v159(constB200)) | (~v202(constB200))) | v202(constB200)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31024,plain,
% 7.49/5.70 ((~v159(constB200)) | (~v202(constB200))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31023, 31022])).
% 7.49/5.70 tff(31025,plain,
% 7.49/5.70 ((~(v205(constB200) <=> (~((~v159(constB200)) | (~v202(constB200)))))) | (~v205(constB200)) | (~((~v159(constB200)) | (~v202(constB200))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31026,plain,
% 7.49/5.70 (~v205(constB200)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31025, 31024, 30988])).
% 7.49/5.70 tff(31027,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB200) <=> (~((~v157(constB200)) | (~v202(constB200)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB200) <=> (~((~v157(constB200)) | (~v202(constB200))))))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(31028,plain,
% 7.49/5.70 ((v201(constB200) <=> (~((~v202(constB200)) | (~v157(constB200))))) <=> (v201(constB200) <=> (~((~v157(constB200)) | (~v202(constB200)))))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(31029,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB200) <=> (~((~v202(constB200)) | (~v157(constB200)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB200) <=> (~((~v157(constB200)) | (~v202(constB200))))))),
% 7.49/5.70 inference(monotonicity,[status(thm)],[31028])).
% 7.49/5.70 tff(31030,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB200) <=> (~((~v202(constB200)) | (~v157(constB200)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB200) <=> (~((~v157(constB200)) | (~v202(constB200))))))),
% 7.49/5.70 inference(transitivity,[status(thm)],[31029, 31027])).
% 7.49/5.70 tff(31031,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB200) <=> (~((~v202(constB200)) | (~v157(constB200)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(31032,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB200) <=> (~((~v157(constB200)) | (~v202(constB200)))))),
% 7.49/5.70 inference(modus_ponens,[status(thm)],[31031, 31030])).
% 7.49/5.70 tff(31033,plain,
% 7.49/5.70 (v201(constB200) <=> (~((~v157(constB200)) | (~v202(constB200))))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31032, 47])).
% 7.49/5.70 tff(31034,plain,
% 7.49/5.70 (((~v157(constB200)) | (~v202(constB200))) | v202(constB200)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31035,plain,
% 7.49/5.70 ((~v157(constB200)) | (~v202(constB200))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31034, 31022])).
% 7.49/5.70 tff(31036,plain,
% 7.49/5.70 ((~(v201(constB200) <=> (~((~v157(constB200)) | (~v202(constB200)))))) | (~v201(constB200)) | (~((~v157(constB200)) | (~v202(constB200))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31037,plain,
% 7.49/5.70 (~v201(constB200)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31036, 31035, 31033])).
% 7.49/5.70 tff(31038,plain,
% 7.49/5.70 ((~(v201(constB200) | v205(constB200))) | v201(constB200) | v205(constB200)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31039,plain,
% 7.49/5.70 (~(v201(constB200) | v205(constB200))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31038, 31037, 31026])).
% 7.49/5.70 tff(31040,plain,
% 7.49/5.70 ((~(v200(constB200) <=> (v201(constB200) | v205(constB200)))) | (~v200(constB200)) | (v201(constB200) | v205(constB200))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31041,plain,
% 7.49/5.70 (~v200(constB200)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31040, 31039, 30981])).
% 7.49/5.70 tff(31042,plain,
% 7.49/5.70 ($false),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31041, 30979])).
% 7.49/5.70 tff(31043,plain,(~(constB200 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.70 tff(31044,assumption,(constB6 = VarCurr!0), introduced(assumption)).
% 7.49/5.70 tff(31045,plain,
% 7.49/5.70 (v200(constB6) <=> v200(VarCurr!0)),
% 7.49/5.70 inference(monotonicity,[status(thm)],[31044])).
% 7.49/5.70 tff(31046,plain,
% 7.49/5.70 (v200(VarCurr!0) <=> v200(constB6)),
% 7.49/5.70 inference(symmetry,[status(thm)],[31045])).
% 7.49/5.70 tff(31047,plain,
% 7.49/5.70 (v200(constB6)),
% 7.49/5.70 inference(modus_ponens,[status(thm)],[27, 31046])).
% 7.49/5.70 tff(31048,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB6) <=> (v201(constB6) | v205(constB6)))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(31049,plain,
% 7.49/5.70 (v200(constB6) <=> (v201(constB6) | v205(constB6))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31048, 35])).
% 7.49/5.70 tff(31050,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB6) <=> (~((~v157(constB6)) | (~v202(constB6)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB6) <=> (~((~v157(constB6)) | (~v202(constB6))))))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(31051,plain,
% 7.49/5.70 ((v201(constB6) <=> (~((~v202(constB6)) | (~v157(constB6))))) <=> (v201(constB6) <=> (~((~v157(constB6)) | (~v202(constB6)))))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(31052,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB6) <=> (~((~v202(constB6)) | (~v157(constB6)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB6) <=> (~((~v157(constB6)) | (~v202(constB6))))))),
% 7.49/5.70 inference(monotonicity,[status(thm)],[31051])).
% 7.49/5.70 tff(31053,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB6) <=> (~((~v202(constB6)) | (~v157(constB6)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB6) <=> (~((~v157(constB6)) | (~v202(constB6))))))),
% 7.49/5.70 inference(transitivity,[status(thm)],[31052, 31050])).
% 7.49/5.70 tff(31054,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB6) <=> (~((~v202(constB6)) | (~v157(constB6)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(31055,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB6) <=> (~((~v157(constB6)) | (~v202(constB6)))))),
% 7.49/5.70 inference(modus_ponens,[status(thm)],[31054, 31053])).
% 7.49/5.70 tff(31056,plain,
% 7.49/5.70 (v201(constB6) <=> (~((~v157(constB6)) | (~v202(constB6))))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31055, 47])).
% 7.49/5.70 tff(31057,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB6) <=> (~((~v183(constB6)) | (~v203(constB6)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(31058,plain,
% 7.49/5.70 (v202(constB6) <=> (~((~v183(constB6)) | (~v203(constB6))))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31057, 64])).
% 7.49/5.70 tff(31059,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB6) <=> (~((~v185(constB6)) | (~v204(constB6)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB6) <=> (~((~v185(constB6)) | (~v204(constB6))))))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(31060,plain,
% 7.49/5.70 ((v203(constB6) <=> (~((~v204(constB6)) | (~v185(constB6))))) <=> (v203(constB6) <=> (~((~v185(constB6)) | (~v204(constB6)))))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(31061,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB6) <=> (~((~v204(constB6)) | (~v185(constB6)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB6) <=> (~((~v185(constB6)) | (~v204(constB6))))))),
% 7.49/5.70 inference(monotonicity,[status(thm)],[31060])).
% 7.49/5.70 tff(31062,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB6) <=> (~((~v204(constB6)) | (~v185(constB6)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB6) <=> (~((~v185(constB6)) | (~v204(constB6))))))),
% 7.49/5.70 inference(transitivity,[status(thm)],[31061, 31059])).
% 7.49/5.70 tff(31063,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB6) <=> (~((~v204(constB6)) | (~v185(constB6)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(31064,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB6) <=> (~((~v185(constB6)) | (~v204(constB6)))))),
% 7.49/5.70 inference(modus_ponens,[status(thm)],[31063, 31062])).
% 7.49/5.70 tff(31065,plain,
% 7.49/5.70 (v203(constB6) <=> (~((~v185(constB6)) | (~v204(constB6))))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31064, 76])).
% 7.49/5.70 tff(31066,plain,
% 7.49/5.70 (((~v185(constB6)) | (~v204(constB6))) | v185(constB6)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31067,plain,
% 7.49/5.70 ((~v185(constB6)) | (~v204(constB6))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31066, 29688])).
% 7.49/5.70 tff(31068,plain,
% 7.49/5.70 ((~(v203(constB6) <=> (~((~v185(constB6)) | (~v204(constB6)))))) | (~v203(constB6)) | (~((~v185(constB6)) | (~v204(constB6))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31069,plain,
% 7.49/5.70 ((~(v203(constB6) <=> (~((~v185(constB6)) | (~v204(constB6)))))) | (~v203(constB6))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31068, 31067])).
% 7.49/5.70 tff(31070,plain,
% 7.49/5.70 (~v203(constB6)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31069, 31065])).
% 7.49/5.70 tff(31071,plain,
% 7.49/5.70 (((~v183(constB6)) | (~v203(constB6))) | v203(constB6)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31072,plain,
% 7.49/5.70 ((~v183(constB6)) | (~v203(constB6))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31071, 31070])).
% 7.49/5.70 tff(31073,plain,
% 7.49/5.70 ((~(v202(constB6) <=> (~((~v183(constB6)) | (~v203(constB6)))))) | (~v202(constB6)) | (~((~v183(constB6)) | (~v203(constB6))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31074,plain,
% 7.49/5.70 (~v202(constB6)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31073, 31072, 31058])).
% 7.49/5.70 tff(31075,plain,
% 7.49/5.70 (((~v157(constB6)) | (~v202(constB6))) | v202(constB6)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31076,plain,
% 7.49/5.70 ((~v157(constB6)) | (~v202(constB6))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31075, 31074])).
% 7.49/5.70 tff(31077,plain,
% 7.49/5.70 ((~(v201(constB6) <=> (~((~v157(constB6)) | (~v202(constB6)))))) | (~v201(constB6)) | (~((~v157(constB6)) | (~v202(constB6))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31078,plain,
% 7.49/5.70 (~v201(constB6)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31077, 31076, 31056])).
% 7.49/5.70 tff(31079,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB6) <=> (~((~v159(constB6)) | (~v202(constB6)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB6) <=> (~((~v159(constB6)) | (~v202(constB6))))))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(31080,plain,
% 7.49/5.70 ((v205(constB6) <=> (~((~v202(constB6)) | (~v159(constB6))))) <=> (v205(constB6) <=> (~((~v159(constB6)) | (~v202(constB6)))))),
% 7.49/5.70 inference(rewrite,[status(thm)],[])).
% 7.49/5.70 tff(31081,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB6) <=> (~((~v202(constB6)) | (~v159(constB6)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB6) <=> (~((~v159(constB6)) | (~v202(constB6))))))),
% 7.49/5.70 inference(monotonicity,[status(thm)],[31080])).
% 7.49/5.70 tff(31082,plain,
% 7.49/5.70 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB6) <=> (~((~v202(constB6)) | (~v159(constB6)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB6) <=> (~((~v159(constB6)) | (~v202(constB6))))))),
% 7.49/5.70 inference(transitivity,[status(thm)],[31081, 31079])).
% 7.49/5.70 tff(31083,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB6) <=> (~((~v202(constB6)) | (~v159(constB6)))))),
% 7.49/5.70 inference(quant_inst,[status(thm)],[])).
% 7.49/5.70 tff(31084,plain,
% 7.49/5.70 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB6) <=> (~((~v159(constB6)) | (~v202(constB6)))))),
% 7.49/5.70 inference(modus_ponens,[status(thm)],[31083, 31082])).
% 7.49/5.70 tff(31085,plain,
% 7.49/5.70 (v205(constB6) <=> (~((~v159(constB6)) | (~v202(constB6))))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31084, 138])).
% 7.49/5.70 tff(31086,plain,
% 7.49/5.70 (((~v159(constB6)) | (~v202(constB6))) | v202(constB6)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31087,plain,
% 7.49/5.70 ((~v159(constB6)) | (~v202(constB6))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31086, 31074])).
% 7.49/5.70 tff(31088,plain,
% 7.49/5.70 ((~(v205(constB6) <=> (~((~v159(constB6)) | (~v202(constB6)))))) | (~v205(constB6)) | (~((~v159(constB6)) | (~v202(constB6))))),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31089,plain,
% 7.49/5.70 (~v205(constB6)),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31088, 31087, 31085])).
% 7.49/5.70 tff(31090,plain,
% 7.49/5.70 ((~(v201(constB6) | v205(constB6))) | v201(constB6) | v205(constB6)),
% 7.49/5.70 inference(tautology,[status(thm)],[])).
% 7.49/5.70 tff(31091,plain,
% 7.49/5.70 (~(v201(constB6) | v205(constB6))),
% 7.49/5.70 inference(unit_resolution,[status(thm)],[31090, 31089, 31078])).
% 7.49/5.70 tff(31092,plain,
% 7.49/5.70 ((~(v200(constB6) <=> (v201(constB6) | v205(constB6)))) | (~v200(constB6)) | (v201(constB6) | v205(constB6))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31093,plain,
% 7.49/5.71 ((~(v200(constB6) <=> (v201(constB6) | v205(constB6)))) | (~v200(constB6))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31092, 31091])).
% 7.49/5.71 tff(31094,plain,
% 7.49/5.71 (~v200(constB6)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31093, 31049])).
% 7.49/5.71 tff(31095,plain,
% 7.49/5.71 ($false),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31094, 31047])).
% 7.49/5.71 tff(31096,plain,(~(constB6 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.71 tff(31097,assumption,(constB144 = VarCurr!0), introduced(assumption)).
% 7.49/5.71 tff(31098,plain,
% 7.49/5.71 (v200(constB144) <=> v200(VarCurr!0)),
% 7.49/5.71 inference(monotonicity,[status(thm)],[31097])).
% 7.49/5.71 tff(31099,plain,
% 7.49/5.71 (v200(VarCurr!0) <=> v200(constB144)),
% 7.49/5.71 inference(symmetry,[status(thm)],[31098])).
% 7.49/5.71 tff(31100,plain,
% 7.49/5.71 (v200(constB144)),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[27, 31099])).
% 7.49/5.71 tff(31101,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB144) <=> (v201(constB144) | v205(constB144)))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31102,plain,
% 7.49/5.71 (v200(constB144) <=> (v201(constB144) | v205(constB144))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31101, 35])).
% 7.49/5.71 tff(31103,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB144) <=> (~((~v157(constB144)) | (~v202(constB144)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB144) <=> (~((~v157(constB144)) | (~v202(constB144))))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31104,plain,
% 7.49/5.71 ((v201(constB144) <=> (~((~v202(constB144)) | (~v157(constB144))))) <=> (v201(constB144) <=> (~((~v157(constB144)) | (~v202(constB144)))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31105,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB144) <=> (~((~v202(constB144)) | (~v157(constB144)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB144) <=> (~((~v157(constB144)) | (~v202(constB144))))))),
% 7.49/5.71 inference(monotonicity,[status(thm)],[31104])).
% 7.49/5.71 tff(31106,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB144) <=> (~((~v202(constB144)) | (~v157(constB144)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB144) <=> (~((~v157(constB144)) | (~v202(constB144))))))),
% 7.49/5.71 inference(transitivity,[status(thm)],[31105, 31103])).
% 7.49/5.71 tff(31107,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB144) <=> (~((~v202(constB144)) | (~v157(constB144)))))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31108,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB144) <=> (~((~v157(constB144)) | (~v202(constB144)))))),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[31107, 31106])).
% 7.49/5.71 tff(31109,plain,
% 7.49/5.71 (v201(constB144) <=> (~((~v157(constB144)) | (~v202(constB144))))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31108, 47])).
% 7.49/5.71 tff(31110,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB144) <=> (~((~v183(constB144)) | (~v203(constB144)))))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31111,plain,
% 7.49/5.71 (v202(constB144) <=> (~((~v183(constB144)) | (~v203(constB144))))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31110, 64])).
% 7.49/5.71 tff(31112,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB144) <=> (~((~v185(constB144)) | (~v204(constB144)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB144) <=> (~((~v185(constB144)) | (~v204(constB144))))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31113,plain,
% 7.49/5.71 ((v203(constB144) <=> (~((~v204(constB144)) | (~v185(constB144))))) <=> (v203(constB144) <=> (~((~v185(constB144)) | (~v204(constB144)))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31114,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB144) <=> (~((~v204(constB144)) | (~v185(constB144)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB144) <=> (~((~v185(constB144)) | (~v204(constB144))))))),
% 7.49/5.71 inference(monotonicity,[status(thm)],[31113])).
% 7.49/5.71 tff(31115,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB144) <=> (~((~v204(constB144)) | (~v185(constB144)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB144) <=> (~((~v185(constB144)) | (~v204(constB144))))))),
% 7.49/5.71 inference(transitivity,[status(thm)],[31114, 31112])).
% 7.49/5.71 tff(31116,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB144) <=> (~((~v204(constB144)) | (~v185(constB144)))))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31117,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB144) <=> (~((~v185(constB144)) | (~v204(constB144)))))),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[31116, 31115])).
% 7.49/5.71 tff(31118,plain,
% 7.49/5.71 (v203(constB144) <=> (~((~v185(constB144)) | (~v204(constB144))))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31117, 76])).
% 7.49/5.71 tff(31119,plain,
% 7.49/5.71 (((~v185(constB144)) | (~v204(constB144))) | v185(constB144)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31120,plain,
% 7.49/5.71 ((~v185(constB144)) | (~v204(constB144))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31119, 26789])).
% 7.49/5.71 tff(31121,plain,
% 7.49/5.71 ((~(v203(constB144) <=> (~((~v185(constB144)) | (~v204(constB144)))))) | (~v203(constB144)) | (~((~v185(constB144)) | (~v204(constB144))))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31122,plain,
% 7.49/5.71 ((~(v203(constB144) <=> (~((~v185(constB144)) | (~v204(constB144)))))) | (~v203(constB144))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31121, 31120])).
% 7.49/5.71 tff(31123,plain,
% 7.49/5.71 (~v203(constB144)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31122, 31118])).
% 7.49/5.71 tff(31124,plain,
% 7.49/5.71 (((~v183(constB144)) | (~v203(constB144))) | v203(constB144)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31125,plain,
% 7.49/5.71 ((~v183(constB144)) | (~v203(constB144))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31124, 31123])).
% 7.49/5.71 tff(31126,plain,
% 7.49/5.71 ((~(v202(constB144) <=> (~((~v183(constB144)) | (~v203(constB144)))))) | (~v202(constB144)) | (~((~v183(constB144)) | (~v203(constB144))))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31127,plain,
% 7.49/5.71 (~v202(constB144)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31126, 31125, 31111])).
% 7.49/5.71 tff(31128,plain,
% 7.49/5.71 (((~v157(constB144)) | (~v202(constB144))) | v202(constB144)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31129,plain,
% 7.49/5.71 ((~v157(constB144)) | (~v202(constB144))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31128, 31127])).
% 7.49/5.71 tff(31130,plain,
% 7.49/5.71 ((~(v201(constB144) <=> (~((~v157(constB144)) | (~v202(constB144)))))) | (~v201(constB144)) | (~((~v157(constB144)) | (~v202(constB144))))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31131,plain,
% 7.49/5.71 (~v201(constB144)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31130, 31129, 31109])).
% 7.49/5.71 tff(31132,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB144) <=> (~((~v159(constB144)) | (~v202(constB144)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB144) <=> (~((~v159(constB144)) | (~v202(constB144))))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31133,plain,
% 7.49/5.71 ((v205(constB144) <=> (~((~v202(constB144)) | (~v159(constB144))))) <=> (v205(constB144) <=> (~((~v159(constB144)) | (~v202(constB144)))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31134,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB144) <=> (~((~v202(constB144)) | (~v159(constB144)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB144) <=> (~((~v159(constB144)) | (~v202(constB144))))))),
% 7.49/5.71 inference(monotonicity,[status(thm)],[31133])).
% 7.49/5.71 tff(31135,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB144) <=> (~((~v202(constB144)) | (~v159(constB144)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB144) <=> (~((~v159(constB144)) | (~v202(constB144))))))),
% 7.49/5.71 inference(transitivity,[status(thm)],[31134, 31132])).
% 7.49/5.71 tff(31136,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB144) <=> (~((~v202(constB144)) | (~v159(constB144)))))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31137,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB144) <=> (~((~v159(constB144)) | (~v202(constB144)))))),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[31136, 31135])).
% 7.49/5.71 tff(31138,plain,
% 7.49/5.71 (v205(constB144) <=> (~((~v159(constB144)) | (~v202(constB144))))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31137, 138])).
% 7.49/5.71 tff(31139,plain,
% 7.49/5.71 (((~v159(constB144)) | (~v202(constB144))) | v202(constB144)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31140,plain,
% 7.49/5.71 ((~v159(constB144)) | (~v202(constB144))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31139, 31127])).
% 7.49/5.71 tff(31141,plain,
% 7.49/5.71 ((~(v205(constB144) <=> (~((~v159(constB144)) | (~v202(constB144)))))) | (~v205(constB144)) | (~((~v159(constB144)) | (~v202(constB144))))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31142,plain,
% 7.49/5.71 (~v205(constB144)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31141, 31140, 31138])).
% 7.49/5.71 tff(31143,plain,
% 7.49/5.71 ((~(v201(constB144) | v205(constB144))) | v201(constB144) | v205(constB144)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31144,plain,
% 7.49/5.71 (~(v201(constB144) | v205(constB144))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31143, 31142, 31131])).
% 7.49/5.71 tff(31145,plain,
% 7.49/5.71 ((~(v200(constB144) <=> (v201(constB144) | v205(constB144)))) | (~v200(constB144)) | (v201(constB144) | v205(constB144))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31146,plain,
% 7.49/5.71 ((~(v200(constB144) <=> (v201(constB144) | v205(constB144)))) | (~v200(constB144))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31145, 31144])).
% 7.49/5.71 tff(31147,plain,
% 7.49/5.71 (~v200(constB144)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31146, 31102])).
% 7.49/5.71 tff(31148,plain,
% 7.49/5.71 ($false),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31147, 31100])).
% 7.49/5.71 tff(31149,plain,(~(constB144 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.71 tff(31150,assumption,(constB113 = VarCurr!0), introduced(assumption)).
% 7.49/5.71 tff(31151,plain,
% 7.49/5.71 (v200(constB113) <=> v200(VarCurr!0)),
% 7.49/5.71 inference(monotonicity,[status(thm)],[31150])).
% 7.49/5.71 tff(31152,plain,
% 7.49/5.71 (v200(VarCurr!0) <=> v200(constB113)),
% 7.49/5.71 inference(symmetry,[status(thm)],[31151])).
% 7.49/5.71 tff(31153,plain,
% 7.49/5.71 (v200(constB113)),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[27, 31152])).
% 7.49/5.71 tff(31154,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB113) <=> (v201(constB113) | v205(constB113)))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31155,plain,
% 7.49/5.71 (v200(constB113) <=> (v201(constB113) | v205(constB113))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31154, 35])).
% 7.49/5.71 tff(31156,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB113) <=> (~((~v157(constB113)) | (~v202(constB113)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB113) <=> (~((~v157(constB113)) | (~v202(constB113))))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31157,plain,
% 7.49/5.71 ((v201(constB113) <=> (~((~v202(constB113)) | (~v157(constB113))))) <=> (v201(constB113) <=> (~((~v157(constB113)) | (~v202(constB113)))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31158,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB113) <=> (~((~v202(constB113)) | (~v157(constB113)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB113) <=> (~((~v157(constB113)) | (~v202(constB113))))))),
% 7.49/5.71 inference(monotonicity,[status(thm)],[31157])).
% 7.49/5.71 tff(31159,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB113) <=> (~((~v202(constB113)) | (~v157(constB113)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB113) <=> (~((~v157(constB113)) | (~v202(constB113))))))),
% 7.49/5.71 inference(transitivity,[status(thm)],[31158, 31156])).
% 7.49/5.71 tff(31160,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB113) <=> (~((~v202(constB113)) | (~v157(constB113)))))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31161,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB113) <=> (~((~v157(constB113)) | (~v202(constB113)))))),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[31160, 31159])).
% 7.49/5.71 tff(31162,plain,
% 7.49/5.71 (v201(constB113) <=> (~((~v157(constB113)) | (~v202(constB113))))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31161, 47])).
% 7.49/5.71 tff(31163,plain,
% 7.49/5.71 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB113) <=> v192(constB113))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31164,plain,
% 7.49/5.71 (v157(constB113) <=> v192(constB113)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31163, 15407])).
% 7.49/5.71 tff(31165,plain,
% 7.49/5.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB112, constB113)) | (v192(constB113) <=> v190(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB112, constB113)) | (v192(constB113) <=> v190(constB112)))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31166,plain,
% 7.49/5.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB112, constB113)) | (v192(constB113) <=> v190(constB112)))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31167,plain,
% 7.49/5.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB112, constB113)) | (v192(constB113) <=> v190(constB112))),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[31166, 31165])).
% 7.49/5.71 tff(31168,plain,
% 7.49/5.71 (v192(constB113) <=> v190(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31167, 921, 15419])).
% 7.49/5.71 tff(31169,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB112) <=> (v193(constB112) | v196(constB112)))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31170,plain,
% 7.49/5.71 (v190(constB112) <=> (v193(constB112) | v196(constB112))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31169, 15430])).
% 7.49/5.71 tff(31171,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB112) <=> (~((~v157(constB112)) | (~v194(constB112)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB112) <=> (~((~v157(constB112)) | (~v194(constB112))))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31172,plain,
% 7.49/5.71 ((v193(constB112) <=> (~((~v194(constB112)) | (~v157(constB112))))) <=> (v193(constB112) <=> (~((~v157(constB112)) | (~v194(constB112)))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31173,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB112) <=> (~((~v194(constB112)) | (~v157(constB112)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB112) <=> (~((~v157(constB112)) | (~v194(constB112))))))),
% 7.49/5.71 inference(monotonicity,[status(thm)],[31172])).
% 7.49/5.71 tff(31174,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB112) <=> (~((~v194(constB112)) | (~v157(constB112)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB112) <=> (~((~v157(constB112)) | (~v194(constB112))))))),
% 7.49/5.71 inference(transitivity,[status(thm)],[31173, 31171])).
% 7.49/5.71 tff(31175,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB112) <=> (~((~v194(constB112)) | (~v157(constB112)))))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31176,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB112) <=> (~((~v157(constB112)) | (~v194(constB112)))))),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[31175, 31174])).
% 7.49/5.71 tff(31177,plain,
% 7.49/5.71 (v193(constB112) <=> (~((~v157(constB112)) | (~v194(constB112))))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31176, 15442])).
% 7.49/5.71 tff(31178,plain,
% 7.49/5.71 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB112) <=> v192(constB112))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31179,plain,
% 7.49/5.71 (v157(constB112) <=> v192(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31178, 15407])).
% 7.49/5.71 tff(31180,plain,
% 7.49/5.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB111, constB112)) | (v192(constB112) <=> v190(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB111, constB112)) | (v192(constB112) <=> v190(constB111)))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31181,plain,
% 7.49/5.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB111, constB112)) | (v192(constB112) <=> v190(constB111)))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31182,plain,
% 7.49/5.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB111, constB112)) | (v192(constB112) <=> v190(constB111))),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[31181, 31180])).
% 7.49/5.71 tff(31183,plain,
% 7.49/5.71 (v192(constB112) <=> v190(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31182, 957, 15419])).
% 7.49/5.71 tff(31184,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB111) <=> (v193(constB111) | v196(constB111)))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31185,plain,
% 7.49/5.71 (v190(constB111) <=> (v193(constB111) | v196(constB111))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31184, 15430])).
% 7.49/5.71 tff(31186,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB111) <=> (~((~v159(constB111)) | (~v194(constB111)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB111) <=> (~((~v159(constB111)) | (~v194(constB111))))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31187,plain,
% 7.49/5.71 ((v196(constB111) <=> (~((~v194(constB111)) | (~v159(constB111))))) <=> (v196(constB111) <=> (~((~v159(constB111)) | (~v194(constB111)))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31188,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB111) <=> (~((~v194(constB111)) | (~v159(constB111)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB111) <=> (~((~v159(constB111)) | (~v194(constB111))))))),
% 7.49/5.71 inference(monotonicity,[status(thm)],[31187])).
% 7.49/5.71 tff(31189,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB111) <=> (~((~v194(constB111)) | (~v159(constB111)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB111) <=> (~((~v159(constB111)) | (~v194(constB111))))))),
% 7.49/5.71 inference(transitivity,[status(thm)],[31188, 31186])).
% 7.49/5.71 tff(31190,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB111) <=> (~((~v194(constB111)) | (~v159(constB111)))))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31191,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB111) <=> (~((~v159(constB111)) | (~v194(constB111)))))),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[31190, 31189])).
% 7.49/5.71 tff(31192,plain,
% 7.49/5.71 (v196(constB111) <=> (~((~v159(constB111)) | (~v194(constB111))))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31191, 15467])).
% 7.49/5.71 tff(31193,plain,
% 7.49/5.71 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB111) <=> v182(constB111))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31194,plain,
% 7.49/5.71 (v159(constB111) <=> v182(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31193, 15113])).
% 7.49/5.71 tff(31195,plain,
% 7.49/5.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB110, constB111)) | (v182(constB111) <=> v180(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB110, constB111)) | (v182(constB111) <=> v180(constB110)))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31196,plain,
% 7.49/5.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB110, constB111)) | (v182(constB111) <=> v180(constB110)))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31197,plain,
% 7.49/5.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB110, constB111)) | (v182(constB111) <=> v180(constB110))),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[31196, 31195])).
% 7.49/5.71 tff(31198,plain,
% 7.49/5.71 (v182(constB111) <=> v180(constB110)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31197, 987, 15125])).
% 7.49/5.71 tff(31199,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB110) <=> (~((~v183(constB110)) | (~v184(constB110)))))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31200,plain,
% 7.49/5.71 (v180(constB110) <=> (~((~v183(constB110)) | (~v184(constB110))))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31199, 15139])).
% 7.49/5.71 tff(31201,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB110) <=> (~((~v185(constB110)) | (~v161(constB110)))))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31202,plain,
% 7.49/5.71 (v184(constB110) <=> (~((~v185(constB110)) | (~v161(constB110))))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31201, 15151])).
% 7.49/5.71 tff(31203,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31204,plain,
% 7.49/5.71 (v185(constB110) <=> (~((~v39(constB110)) | (~v9(constB110))))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31203, 93])).
% 7.49/5.71 tff(31205,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB110)) <=> v1(constB110))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31206,plain,
% 7.49/5.71 ((~v39(constB110)) <=> v1(constB110)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31205, 102])).
% 7.49/5.71 tff(31207,plain,
% 7.49/5.71 ((~((~v39(constB110)) <=> v1(constB110))) | (~v39(constB110)) | (~v1(constB110))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31208,plain,
% 7.49/5.71 ((~((~v39(constB110)) <=> v1(constB110))) | (~v39(constB110))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31207, 13466])).
% 7.49/5.71 tff(31209,plain,
% 7.49/5.71 (~v39(constB110)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31208, 31206])).
% 7.49/5.71 tff(31210,plain,
% 7.49/5.71 (((~v39(constB110)) | (~v9(constB110))) | v39(constB110)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31211,plain,
% 7.49/5.71 ((~v39(constB110)) | (~v9(constB110))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31210, 31209])).
% 7.49/5.71 tff(31212,plain,
% 7.49/5.71 ((~(v185(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))) | (~v185(constB110)) | (~((~v39(constB110)) | (~v9(constB110))))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31213,plain,
% 7.49/5.71 ((~(v185(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))) | (~v185(constB110))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31212, 31211])).
% 7.49/5.71 tff(31214,plain,
% 7.49/5.71 (~v185(constB110)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31213, 31204])).
% 7.49/5.71 tff(31215,plain,
% 7.49/5.71 (((~v185(constB110)) | (~v161(constB110))) | v185(constB110)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31216,plain,
% 7.49/5.71 ((~v185(constB110)) | (~v161(constB110))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31215, 31214])).
% 7.49/5.71 tff(31217,plain,
% 7.49/5.71 ((~(v184(constB110) <=> (~((~v185(constB110)) | (~v161(constB110)))))) | (~v184(constB110)) | (~((~v185(constB110)) | (~v161(constB110))))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31218,plain,
% 7.49/5.71 ((~(v184(constB110) <=> (~((~v185(constB110)) | (~v161(constB110)))))) | (~v184(constB110))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31217, 31216])).
% 7.49/5.71 tff(31219,plain,
% 7.49/5.71 (~v184(constB110)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31218, 31202])).
% 7.49/5.71 tff(31220,plain,
% 7.49/5.71 (((~v183(constB110)) | (~v184(constB110))) | v184(constB110)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31221,plain,
% 7.49/5.71 ((~v183(constB110)) | (~v184(constB110))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31220, 31219])).
% 7.49/5.71 tff(31222,plain,
% 7.49/5.71 ((~(v180(constB110) <=> (~((~v183(constB110)) | (~v184(constB110)))))) | (~v180(constB110)) | (~((~v183(constB110)) | (~v184(constB110))))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31223,plain,
% 7.49/5.71 (~v180(constB110)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31222, 31221, 31200])).
% 7.49/5.71 tff(31224,plain,
% 7.49/5.71 ((~(v182(constB111) <=> v180(constB110))) | (~v182(constB111)) | v180(constB110)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31225,plain,
% 7.49/5.71 (~v182(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31224, 31223, 31198])).
% 7.49/5.71 tff(31226,plain,
% 7.49/5.71 ((~(v159(constB111) <=> v182(constB111))) | (~v159(constB111)) | v182(constB111)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31227,plain,
% 7.49/5.71 (~v159(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31226, 31225, 31194])).
% 7.49/5.71 tff(31228,plain,
% 7.49/5.71 (((~v159(constB111)) | (~v194(constB111))) | v159(constB111)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31229,plain,
% 7.49/5.71 ((~v159(constB111)) | (~v194(constB111))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31228, 31227])).
% 7.49/5.71 tff(31230,plain,
% 7.49/5.71 ((~(v196(constB111) <=> (~((~v159(constB111)) | (~v194(constB111)))))) | (~v196(constB111)) | (~((~v159(constB111)) | (~v194(constB111))))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31231,plain,
% 7.49/5.71 (~v196(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31230, 31229, 31192])).
% 7.49/5.71 tff(31232,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB111) <=> (~((~v157(constB111)) | (~v194(constB111)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB111) <=> (~((~v157(constB111)) | (~v194(constB111))))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31233,plain,
% 7.49/5.71 ((v193(constB111) <=> (~((~v194(constB111)) | (~v157(constB111))))) <=> (v193(constB111) <=> (~((~v157(constB111)) | (~v194(constB111)))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31234,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB111) <=> (~((~v194(constB111)) | (~v157(constB111)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB111) <=> (~((~v157(constB111)) | (~v194(constB111))))))),
% 7.49/5.71 inference(monotonicity,[status(thm)],[31233])).
% 7.49/5.71 tff(31235,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB111) <=> (~((~v194(constB111)) | (~v157(constB111)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB111) <=> (~((~v157(constB111)) | (~v194(constB111))))))),
% 7.49/5.71 inference(transitivity,[status(thm)],[31234, 31232])).
% 7.49/5.71 tff(31236,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB111) <=> (~((~v194(constB111)) | (~v157(constB111)))))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31237,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB111) <=> (~((~v157(constB111)) | (~v194(constB111)))))),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[31236, 31235])).
% 7.49/5.71 tff(31238,plain,
% 7.49/5.71 (v193(constB111) <=> (~((~v157(constB111)) | (~v194(constB111))))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31237, 15442])).
% 7.49/5.71 tff(31239,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB111)) <=> v195(constB111))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31240,plain,
% 7.49/5.71 ((~v194(constB111)) <=> v195(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31239, 15527])).
% 7.49/5.71 tff(31241,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB111) <=> (v185(constB111) | v26(constB111)))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31242,plain,
% 7.49/5.71 (v195(constB111) <=> (v185(constB111) | v26(constB111))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31241, 15536])).
% 7.49/5.71 tff(31243,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB111) <=> (~((~v39(constB111)) | (~v9(constB111)))))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31244,plain,
% 7.49/5.71 (v185(constB111) <=> (~((~v39(constB111)) | (~v9(constB111))))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31243, 93])).
% 7.49/5.71 tff(31245,plain,
% 7.49/5.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111)))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31246,plain,
% 7.49/5.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111)))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31247,plain,
% 7.49/5.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111))),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[31246, 31245])).
% 7.49/5.71 tff(31248,plain,
% 7.49/5.71 (v13(constB112) <=> v9(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31247, 957, 15550])).
% 7.49/5.71 tff(31249,plain,
% 7.49/5.71 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB112) <=> v13(constB112))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31250,plain,
% 7.49/5.71 (v6(constB112) <=> v13(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31249, 15564])).
% 7.49/5.71 tff(31251,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB112)) <=> v6(constB112))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31252,plain,
% 7.49/5.71 ((~v21(constB112)) <=> v6(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31251, 15573])).
% 7.49/5.71 tff(31253,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB112) <=> (v20(constB112) | v21(constB112)))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31254,plain,
% 7.49/5.71 (v19(constB112) <=> (v20(constB112) | v21(constB112))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31253, 15582])).
% 7.49/5.71 tff(31255,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112)))))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31256,plain,
% 7.49/5.71 (v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112))))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31255, 15594])).
% 7.49/5.71 tff(31257,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB112)) <=> v18(constB112))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31258,plain,
% 7.49/5.71 ((~v4(constB112)) <=> v18(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31257, 15603])).
% 7.49/5.71 tff(31259,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB112)),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31260,plain,
% 7.49/5.71 (v4(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31259, 15612])).
% 7.49/5.71 tff(31261,plain,
% 7.49/5.71 ((~((~v4(constB112)) <=> v18(constB112))) | (~v4(constB112)) | (~v18(constB112))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31262,plain,
% 7.49/5.71 (~v18(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31261, 31260, 31258])).
% 7.49/5.71 tff(31263,plain,
% 7.49/5.71 ((~(v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112)))))) | v18(constB112) | ((~v19(constB112)) | (~v22(constB112)))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31264,plain,
% 7.49/5.71 ((~v19(constB112)) | (~v22(constB112))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31263, 31262, 31256])).
% 7.49/5.71 tff(31265,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB112) <=> (v1(constB112) | v6(constB112)))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31266,plain,
% 7.49/5.71 (v22(constB112) <=> (v1(constB112) | v6(constB112))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31265, 15625])).
% 7.49/5.71 tff(31267,plain,
% 7.49/5.71 ((v1(constB112) | v6(constB112)) | (~v1(constB112))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31268,plain,
% 7.49/5.71 (v1(constB112) | v6(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31267, 13624])).
% 7.49/5.71 tff(31269,plain,
% 7.49/5.71 ((~(v22(constB112) <=> (v1(constB112) | v6(constB112)))) | v22(constB112) | (~(v1(constB112) | v6(constB112)))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31270,plain,
% 7.49/5.71 ((~(v22(constB112) <=> (v1(constB112) | v6(constB112)))) | v22(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31269, 31268])).
% 7.49/5.71 tff(31271,plain,
% 7.49/5.71 (v22(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31270, 31266])).
% 7.49/5.71 tff(31272,plain,
% 7.49/5.71 ((~((~v19(constB112)) | (~v22(constB112)))) | (~v19(constB112)) | (~v22(constB112))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31273,plain,
% 7.49/5.71 ((~((~v19(constB112)) | (~v22(constB112)))) | (~v19(constB112))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31272, 31271])).
% 7.49/5.71 tff(31274,plain,
% 7.49/5.71 (~v19(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31273, 31264])).
% 7.49/5.71 tff(31275,plain,
% 7.49/5.71 ((~(v19(constB112) <=> (v20(constB112) | v21(constB112)))) | v19(constB112) | (~(v20(constB112) | v21(constB112)))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31276,plain,
% 7.49/5.71 (~(v20(constB112) | v21(constB112))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31275, 31274, 31254])).
% 7.49/5.71 tff(31277,plain,
% 7.49/5.71 ((v20(constB112) | v21(constB112)) | (~v21(constB112))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31278,plain,
% 7.49/5.71 (~v21(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31277, 31276])).
% 7.49/5.71 tff(31279,plain,
% 7.49/5.71 ((~((~v21(constB112)) <=> v6(constB112))) | v21(constB112) | v6(constB112)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31280,plain,
% 7.49/5.71 (v6(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31279, 31278, 31252])).
% 7.49/5.71 tff(31281,plain,
% 7.49/5.71 ((~(v6(constB112) <=> v13(constB112))) | (~v6(constB112)) | v13(constB112)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31282,plain,
% 7.49/5.71 (v13(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31281, 31280, 31250])).
% 7.49/5.71 tff(31283,plain,
% 7.49/5.71 ((~(v13(constB112) <=> v9(constB111))) | (~v13(constB112)) | v9(constB111)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31284,plain,
% 7.49/5.71 (v9(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31283, 31282, 31248])).
% 7.49/5.71 tff(31285,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB111)) <=> v1(constB111))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31286,plain,
% 7.49/5.71 ((~v39(constB111)) <=> v1(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31285, 102])).
% 7.49/5.71 tff(31287,plain,
% 7.49/5.71 ((~((~v39(constB111)) <=> v1(constB111))) | v39(constB111) | v1(constB111)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31288,plain,
% 7.49/5.71 ((~((~v39(constB111)) <=> v1(constB111))) | v39(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31287, 1001])).
% 7.49/5.71 tff(31289,plain,
% 7.49/5.71 (v39(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31288, 31286])).
% 7.49/5.71 tff(31290,plain,
% 7.49/5.71 ((~((~v39(constB111)) | (~v9(constB111)))) | (~v39(constB111)) | (~v9(constB111))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31291,plain,
% 7.49/5.71 ((~((~v39(constB111)) | (~v9(constB111)))) | (~v9(constB111))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31290, 31289])).
% 7.49/5.71 tff(31292,plain,
% 7.49/5.71 (~((~v39(constB111)) | (~v9(constB111)))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31291, 31284])).
% 7.49/5.71 tff(31293,plain,
% 7.49/5.71 ((~(v185(constB111) <=> (~((~v39(constB111)) | (~v9(constB111)))))) | v185(constB111) | ((~v39(constB111)) | (~v9(constB111)))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31294,plain,
% 7.49/5.71 (v185(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31293, 31292, 31244])).
% 7.49/5.71 tff(31295,plain,
% 7.49/5.71 ((v185(constB111) | v26(constB111)) | (~v185(constB111))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31296,plain,
% 7.49/5.71 (v185(constB111) | v26(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31295, 31294])).
% 7.49/5.71 tff(31297,plain,
% 7.49/5.71 ((~(v195(constB111) <=> (v185(constB111) | v26(constB111)))) | v195(constB111) | (~(v185(constB111) | v26(constB111)))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31298,plain,
% 7.49/5.71 (v195(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31297, 31296, 31242])).
% 7.49/5.71 tff(31299,plain,
% 7.49/5.71 ((~((~v194(constB111)) <=> v195(constB111))) | (~v194(constB111)) | (~v195(constB111))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31300,plain,
% 7.49/5.71 (~v194(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31299, 31298, 31240])).
% 7.49/5.71 tff(31301,plain,
% 7.49/5.71 (((~v157(constB111)) | (~v194(constB111))) | v194(constB111)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31302,plain,
% 7.49/5.71 ((~v157(constB111)) | (~v194(constB111))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31301, 31300])).
% 7.49/5.71 tff(31303,plain,
% 7.49/5.71 ((~(v193(constB111) <=> (~((~v157(constB111)) | (~v194(constB111)))))) | (~v193(constB111)) | (~((~v157(constB111)) | (~v194(constB111))))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31304,plain,
% 7.49/5.71 (~v193(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31303, 31302, 31238])).
% 7.49/5.71 tff(31305,plain,
% 7.49/5.71 ((~(v193(constB111) | v196(constB111))) | v193(constB111) | v196(constB111)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31306,plain,
% 7.49/5.71 (~(v193(constB111) | v196(constB111))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31305, 31304, 31231])).
% 7.49/5.71 tff(31307,plain,
% 7.49/5.71 ((~(v190(constB111) <=> (v193(constB111) | v196(constB111)))) | (~v190(constB111)) | (v193(constB111) | v196(constB111))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31308,plain,
% 7.49/5.71 (~v190(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31307, 31306, 31185])).
% 7.49/5.71 tff(31309,plain,
% 7.49/5.71 ((~(v192(constB112) <=> v190(constB111))) | (~v192(constB112)) | v190(constB111)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31310,plain,
% 7.49/5.71 (~v192(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31309, 31308, 31183])).
% 7.49/5.71 tff(31311,plain,
% 7.49/5.71 ((~(v157(constB112) <=> v192(constB112))) | (~v157(constB112)) | v192(constB112)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31312,plain,
% 7.49/5.71 (~v157(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31311, 31310, 31179])).
% 7.49/5.71 tff(31313,plain,
% 7.49/5.71 (((~v157(constB112)) | (~v194(constB112))) | v157(constB112)),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31314,plain,
% 7.49/5.71 ((~v157(constB112)) | (~v194(constB112))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31313, 31312])).
% 7.49/5.71 tff(31315,plain,
% 7.49/5.71 ((~(v193(constB112) <=> (~((~v157(constB112)) | (~v194(constB112)))))) | (~v193(constB112)) | (~((~v157(constB112)) | (~v194(constB112))))),
% 7.49/5.71 inference(tautology,[status(thm)],[])).
% 7.49/5.71 tff(31316,plain,
% 7.49/5.71 (~v193(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31315, 31314, 31177])).
% 7.49/5.71 tff(31317,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB112) <=> (~((~v159(constB112)) | (~v194(constB112)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB112) <=> (~((~v159(constB112)) | (~v194(constB112))))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31318,plain,
% 7.49/5.71 ((v196(constB112) <=> (~((~v194(constB112)) | (~v159(constB112))))) <=> (v196(constB112) <=> (~((~v159(constB112)) | (~v194(constB112)))))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31319,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB112) <=> (~((~v194(constB112)) | (~v159(constB112)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB112) <=> (~((~v159(constB112)) | (~v194(constB112))))))),
% 7.49/5.71 inference(monotonicity,[status(thm)],[31318])).
% 7.49/5.71 tff(31320,plain,
% 7.49/5.71 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB112) <=> (~((~v194(constB112)) | (~v159(constB112)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB112) <=> (~((~v159(constB112)) | (~v194(constB112))))))),
% 7.49/5.71 inference(transitivity,[status(thm)],[31319, 31317])).
% 7.49/5.71 tff(31321,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB112) <=> (~((~v194(constB112)) | (~v159(constB112)))))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31322,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB112) <=> (~((~v159(constB112)) | (~v194(constB112)))))),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[31321, 31320])).
% 7.49/5.71 tff(31323,plain,
% 7.49/5.71 (v196(constB112) <=> (~((~v159(constB112)) | (~v194(constB112))))),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31322, 15467])).
% 7.49/5.71 tff(31324,plain,
% 7.49/5.71 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB112) <=> v182(constB112))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31325,plain,
% 7.49/5.71 (v159(constB112) <=> v182(constB112)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31324, 15113])).
% 7.49/5.71 tff(31326,plain,
% 7.49/5.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB111, constB112)) | (v182(constB112) <=> v180(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB111, constB112)) | (v182(constB112) <=> v180(constB111)))),
% 7.49/5.71 inference(rewrite,[status(thm)],[])).
% 7.49/5.71 tff(31327,plain,
% 7.49/5.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB111, constB112)) | (v182(constB112) <=> v180(constB111)))),
% 7.49/5.71 inference(quant_inst,[status(thm)],[])).
% 7.49/5.71 tff(31328,plain,
% 7.49/5.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB111, constB112)) | (v182(constB112) <=> v180(constB111))),
% 7.49/5.71 inference(modus_ponens,[status(thm)],[31327, 31326])).
% 7.49/5.71 tff(31329,plain,
% 7.49/5.71 (v182(constB112) <=> v180(constB111)),
% 7.49/5.71 inference(unit_resolution,[status(thm)],[31328, 957, 15125])).
% 7.49/5.71 tff(31330,plain,
% 7.49/5.71 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB111) <=> (~((~v183(constB111)) | (~v184(constB111)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31331,plain,
% 7.49/5.72 (v180(constB111) <=> (~((~v183(constB111)) | (~v184(constB111))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31330, 15139])).
% 7.49/5.72 tff(31332,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB111) <=> (~((~v185(constB111)) | (~v161(constB111)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31333,plain,
% 7.49/5.72 (v184(constB111) <=> (~((~v185(constB111)) | (~v161(constB111))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31332, 15151])).
% 7.49/5.72 tff(31334,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB111) <=> v163(constB111))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31335,plain,
% 7.49/5.72 (v161(constB111) <=> v163(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31334, 15701])).
% 7.49/5.72 tff(31336,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB111) <=> (v145(constB111) | v167(constB111)))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31337,plain,
% 7.49/5.72 (v166(constB111) <=> (v145(constB111) | v167(constB111))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31336, 15713])).
% 7.49/5.72 tff(31338,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB111) <=> (v142(constB111) | v168(constB111)))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31339,plain,
% 7.49/5.72 (v167(constB111) <=> (v142(constB111) | v168(constB111))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31338, 15725])).
% 7.49/5.72 tff(31340,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB111) <=> (v141(constB111) | v169(constB111)))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31341,plain,
% 7.49/5.72 (v168(constB111) <=> (v141(constB111) | v169(constB111))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31340, 26253])).
% 7.49/5.72 tff(31342,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB111) <=> (~((~v88(constB111, 1)) | v88(constB111, 2) | (~v88(constB111, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB111) <=> (~((~v88(constB111, 1)) | v88(constB111, 2) | (~v88(constB111, 0))))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31343,plain,
% 7.49/5.72 ((v141(constB111) <=> (~(v88(constB111, 2) | (~v88(constB111, 1)) | (~v88(constB111, 0))))) <=> (v141(constB111) <=> (~((~v88(constB111, 1)) | v88(constB111, 2) | (~v88(constB111, 0)))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31344,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB111) <=> (~(v88(constB111, 2) | (~v88(constB111, 1)) | (~v88(constB111, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB111) <=> (~((~v88(constB111, 1)) | v88(constB111, 2) | (~v88(constB111, 0))))))),
% 7.49/5.72 inference(monotonicity,[status(thm)],[31343])).
% 7.49/5.72 tff(31345,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB111) <=> (~(v88(constB111, 2) | (~v88(constB111, 1)) | (~v88(constB111, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB111) <=> (~((~v88(constB111, 1)) | v88(constB111, 2) | (~v88(constB111, 0))))))),
% 7.49/5.72 inference(transitivity,[status(thm)],[31344, 31342])).
% 7.49/5.72 tff(31346,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB111) <=> (~(v88(constB111, 2) | (~v88(constB111, 1)) | (~v88(constB111, 0)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31347,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB111) <=> (~((~v88(constB111, 1)) | v88(constB111, 2) | (~v88(constB111, 0)))))),
% 7.49/5.72 inference(modus_ponens,[status(thm)],[31346, 31345])).
% 7.49/5.72 tff(31348,plain,
% 7.49/5.72 (v141(constB111) <=> (~((~v88(constB111, 1)) | v88(constB111, 2) | (~v88(constB111, 0))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31347, 26268])).
% 7.49/5.72 tff(31349,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB111, 1)) <=> v90(constB111, 1)) | ((~v88(constB111, 2)) <=> v90(constB111, 2)) | ((~v88(constB111, 0)) <=> v90(constB111, 0))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31350,plain,
% 7.49/5.72 (~(((~v88(constB111, 1)) <=> v90(constB111, 1)) | ((~v88(constB111, 2)) <=> v90(constB111, 2)) | ((~v88(constB111, 0)) <=> v90(constB111, 0)))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31349, 256])).
% 7.49/5.72 tff(31351,plain,
% 7.49/5.72 ((((~v88(constB111, 1)) <=> v90(constB111, 1)) | ((~v88(constB111, 2)) <=> v90(constB111, 2)) | ((~v88(constB111, 0)) <=> v90(constB111, 0))) | (~((~v88(constB111, 2)) <=> v90(constB111, 2)))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31352,plain,
% 7.49/5.72 (~((~v88(constB111, 2)) <=> v90(constB111, 2))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31351, 31350])).
% 7.49/5.72 tff(31353,plain,
% 7.49/5.72 (((~v88(constB111, 2)) <=> v90(constB111, 2)) | (~v88(constB111, 2)) | v90(constB111, 2)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31354,plain,
% 7.49/5.72 (~v88(constB111, 2)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31353, 13543, 31352])).
% 7.49/5.72 tff(31355,plain,
% 7.49/5.72 ((((~v88(constB111, 1)) <=> v90(constB111, 1)) | ((~v88(constB111, 2)) <=> v90(constB111, 2)) | ((~v88(constB111, 0)) <=> v90(constB111, 0))) | (~((~v88(constB111, 0)) <=> v90(constB111, 0)))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31356,plain,
% 7.49/5.72 (~((~v88(constB111, 0)) <=> v90(constB111, 0))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31355, 31350])).
% 7.49/5.72 tff(31357,plain,
% 7.49/5.72 (((~v88(constB111, 0)) <=> v90(constB111, 0)) | v88(constB111, 0) | (~v90(constB111, 0))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31358,plain,
% 7.49/5.72 (v88(constB111, 0)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31357, 13561, 31356])).
% 7.49/5.72 tff(31359,plain,
% 7.49/5.72 ((((~v88(constB111, 1)) <=> v90(constB111, 1)) | ((~v88(constB111, 2)) <=> v90(constB111, 2)) | ((~v88(constB111, 0)) <=> v90(constB111, 0))) | (~((~v88(constB111, 1)) <=> v90(constB111, 1)))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31360,plain,
% 7.49/5.72 (~((~v88(constB111, 1)) <=> v90(constB111, 1))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31359, 31350])).
% 7.49/5.72 tff(31361,plain,
% 7.49/5.72 (((~v88(constB111, 1)) <=> v90(constB111, 1)) | v88(constB111, 1) | (~v90(constB111, 1))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31362,plain,
% 7.49/5.72 (v88(constB111, 1)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31361, 13579, 31360])).
% 7.49/5.72 tff(31363,plain,
% 7.49/5.72 ((~((~v88(constB111, 1)) | v88(constB111, 2) | (~v88(constB111, 0)))) | (~v88(constB111, 1)) | v88(constB111, 2) | (~v88(constB111, 0))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31364,plain,
% 7.49/5.72 (~((~v88(constB111, 1)) | v88(constB111, 2) | (~v88(constB111, 0)))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31363, 31362, 31358, 31354])).
% 7.49/5.72 tff(31365,plain,
% 7.49/5.72 ((~(v141(constB111) <=> (~((~v88(constB111, 1)) | v88(constB111, 2) | (~v88(constB111, 0)))))) | v141(constB111) | ((~v88(constB111, 1)) | v88(constB111, 2) | (~v88(constB111, 0)))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31366,plain,
% 7.49/5.72 (v141(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31365, 31364, 31348])).
% 7.49/5.72 tff(31367,plain,
% 7.49/5.72 ((v141(constB111) | v169(constB111)) | (~v141(constB111))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31368,plain,
% 7.49/5.72 (v141(constB111) | v169(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31367, 31366])).
% 7.49/5.72 tff(31369,plain,
% 7.49/5.72 ((~(v168(constB111) <=> (v141(constB111) | v169(constB111)))) | v168(constB111) | (~(v141(constB111) | v169(constB111)))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31370,plain,
% 7.49/5.72 (v168(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31369, 31368, 31341])).
% 7.49/5.72 tff(31371,plain,
% 7.49/5.72 ((v142(constB111) | v168(constB111)) | (~v168(constB111))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31372,plain,
% 7.49/5.72 (v142(constB111) | v168(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31371, 31370])).
% 7.49/5.72 tff(31373,plain,
% 7.49/5.72 ((~(v167(constB111) <=> (v142(constB111) | v168(constB111)))) | v167(constB111) | (~(v142(constB111) | v168(constB111)))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31374,plain,
% 7.49/5.72 ((~(v167(constB111) <=> (v142(constB111) | v168(constB111)))) | v167(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31373, 31372])).
% 7.49/5.72 tff(31375,plain,
% 7.49/5.72 (v167(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31374, 31339])).
% 7.49/5.72 tff(31376,plain,
% 7.49/5.72 ((v145(constB111) | v167(constB111)) | (~v167(constB111))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31377,plain,
% 7.49/5.72 (v145(constB111) | v167(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31376, 31375])).
% 7.49/5.72 tff(31378,plain,
% 7.49/5.72 ((~(v166(constB111) <=> (v145(constB111) | v167(constB111)))) | v166(constB111) | (~(v145(constB111) | v167(constB111)))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31379,plain,
% 7.49/5.72 (v166(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31378, 31377, 31337])).
% 7.49/5.72 tff(31380,plain,
% 7.49/5.72 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB111)) | (v163(constB111) <=> v170(constB111)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB111)) | (v163(constB111) <=> v170(constB111)))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31381,plain,
% 7.49/5.72 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB111)) | (v163(constB111) <=> v170(constB111)))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31382,plain,
% 7.49/5.72 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB111)) | (v163(constB111) <=> v170(constB111))),
% 7.49/5.72 inference(modus_ponens,[status(thm)],[31381, 31380])).
% 7.49/5.72 tff(31383,plain,
% 7.49/5.72 ((~v166(constB111)) | (v163(constB111) <=> v170(constB111))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31382, 15777])).
% 7.49/5.72 tff(31384,plain,
% 7.49/5.72 (v163(constB111) <=> v170(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31383, 31379])).
% 7.49/5.72 tff(31385,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB111) <=> (~(v88(constB111, 0) | v88(constB111, 1) | v88(constB111, 2))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31386,plain,
% 7.49/5.72 (v139(constB111) <=> (~(v88(constB111, 0) | v88(constB111, 1) | v88(constB111, 2)))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31385, 15795])).
% 7.49/5.72 tff(31387,plain,
% 7.49/5.72 ((v88(constB111, 0) | v88(constB111, 1) | v88(constB111, 2)) | (~v88(constB111, 0))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31388,plain,
% 7.49/5.72 (v88(constB111, 0) | v88(constB111, 1) | v88(constB111, 2)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31387, 31358])).
% 7.49/5.72 tff(31389,plain,
% 7.49/5.72 ((~(v139(constB111) <=> (~(v88(constB111, 0) | v88(constB111, 1) | v88(constB111, 2))))) | (~v139(constB111)) | (~(v88(constB111, 0) | v88(constB111, 1) | v88(constB111, 2)))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31390,plain,
% 7.49/5.72 (~v139(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31389, 31388, 31386])).
% 7.49/5.72 tff(31391,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB111) <=> (~(v88(constB111, 1) | v88(constB111, 2) | (~v88(constB111, 0)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31392,plain,
% 7.49/5.72 (v140(constB111) <=> (~(v88(constB111, 1) | v88(constB111, 2) | (~v88(constB111, 0))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31391, 15814])).
% 7.49/5.72 tff(31393,plain,
% 7.49/5.72 ((v88(constB111, 1) | v88(constB111, 2) | (~v88(constB111, 0))) | (~v88(constB111, 1))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31394,plain,
% 7.49/5.72 (v88(constB111, 1) | v88(constB111, 2) | (~v88(constB111, 0))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31393, 31362])).
% 7.49/5.72 tff(31395,plain,
% 7.49/5.72 ((~(v140(constB111) <=> (~(v88(constB111, 1) | v88(constB111, 2) | (~v88(constB111, 0)))))) | (~v140(constB111)) | (~(v88(constB111, 1) | v88(constB111, 2) | (~v88(constB111, 0))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31396,plain,
% 7.49/5.72 (~v140(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31395, 31394, 31392])).
% 7.49/5.72 tff(31397,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB111) | v139(constB111) | (~v170(constB111)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB111) | v139(constB111) | (~v170(constB111)))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31398,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB111) | v139(constB111) | (~v170(constB111)))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31399,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB111) | v139(constB111) | (~v170(constB111))),
% 7.49/5.72 inference(modus_ponens,[status(thm)],[31398, 31397])).
% 7.49/5.72 tff(31400,plain,
% 7.49/5.72 (v140(constB111) | v139(constB111) | (~v170(constB111))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31399, 15833])).
% 7.49/5.72 tff(31401,plain,
% 7.49/5.72 (~v170(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31400, 31396, 31390])).
% 7.49/5.72 tff(31402,plain,
% 7.49/5.72 ((~(v163(constB111) <=> v170(constB111))) | (~v163(constB111)) | v170(constB111)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31403,plain,
% 7.49/5.72 ((~(v163(constB111) <=> v170(constB111))) | (~v163(constB111))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31402, 31401])).
% 7.49/5.72 tff(31404,plain,
% 7.49/5.72 (~v163(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31403, 31384])).
% 7.49/5.72 tff(31405,plain,
% 7.49/5.72 ((~(v161(constB111) <=> v163(constB111))) | (~v161(constB111)) | v163(constB111)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31406,plain,
% 7.49/5.72 ((~(v161(constB111) <=> v163(constB111))) | (~v161(constB111))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31405, 31404])).
% 7.49/5.72 tff(31407,plain,
% 7.49/5.72 (~v161(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31406, 31335])).
% 7.49/5.72 tff(31408,plain,
% 7.49/5.72 (((~v185(constB111)) | (~v161(constB111))) | v161(constB111)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31409,plain,
% 7.49/5.72 ((~v185(constB111)) | (~v161(constB111))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31408, 31407])).
% 7.49/5.72 tff(31410,plain,
% 7.49/5.72 ((~(v184(constB111) <=> (~((~v185(constB111)) | (~v161(constB111)))))) | (~v184(constB111)) | (~((~v185(constB111)) | (~v161(constB111))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31411,plain,
% 7.49/5.72 (~v184(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31410, 31409, 31333])).
% 7.49/5.72 tff(31412,plain,
% 7.49/5.72 (((~v183(constB111)) | (~v184(constB111))) | v184(constB111)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31413,plain,
% 7.49/5.72 ((~v183(constB111)) | (~v184(constB111))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31412, 31411])).
% 7.49/5.72 tff(31414,plain,
% 7.49/5.72 ((~(v180(constB111) <=> (~((~v183(constB111)) | (~v184(constB111)))))) | (~v180(constB111)) | (~((~v183(constB111)) | (~v184(constB111))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31415,plain,
% 7.49/5.72 (~v180(constB111)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31414, 31413, 31331])).
% 7.49/5.72 tff(31416,plain,
% 7.49/5.72 ((~(v182(constB112) <=> v180(constB111))) | (~v182(constB112)) | v180(constB111)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31417,plain,
% 7.49/5.72 (~v182(constB112)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31416, 31415, 31329])).
% 7.49/5.72 tff(31418,plain,
% 7.49/5.72 ((~(v159(constB112) <=> v182(constB112))) | (~v159(constB112)) | v182(constB112)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31419,plain,
% 7.49/5.72 (~v159(constB112)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31418, 31417, 31325])).
% 7.49/5.72 tff(31420,plain,
% 7.49/5.72 (((~v159(constB112)) | (~v194(constB112))) | v159(constB112)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31421,plain,
% 7.49/5.72 ((~v159(constB112)) | (~v194(constB112))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31420, 31419])).
% 7.49/5.72 tff(31422,plain,
% 7.49/5.72 ((~(v196(constB112) <=> (~((~v159(constB112)) | (~v194(constB112)))))) | (~v196(constB112)) | (~((~v159(constB112)) | (~v194(constB112))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31423,plain,
% 7.49/5.72 (~v196(constB112)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31422, 31421, 31323])).
% 7.49/5.72 tff(31424,plain,
% 7.49/5.72 ((~(v193(constB112) | v196(constB112))) | v193(constB112) | v196(constB112)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31425,plain,
% 7.49/5.72 (~(v193(constB112) | v196(constB112))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31424, 31423, 31316])).
% 7.49/5.72 tff(31426,plain,
% 7.49/5.72 ((~(v190(constB112) <=> (v193(constB112) | v196(constB112)))) | (~v190(constB112)) | (v193(constB112) | v196(constB112))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31427,plain,
% 7.49/5.72 (~v190(constB112)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31426, 31425, 31170])).
% 7.49/5.72 tff(31428,plain,
% 7.49/5.72 ((~(v192(constB113) <=> v190(constB112))) | (~v192(constB113)) | v190(constB112)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31429,plain,
% 7.49/5.72 (~v192(constB113)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31428, 31427, 31168])).
% 7.49/5.72 tff(31430,plain,
% 7.49/5.72 ((~(v157(constB113) <=> v192(constB113))) | (~v157(constB113)) | v192(constB113)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31431,plain,
% 7.49/5.72 (~v157(constB113)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31430, 31429, 31164])).
% 7.49/5.72 tff(31432,plain,
% 7.49/5.72 (((~v157(constB113)) | (~v202(constB113))) | v157(constB113)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31433,plain,
% 7.49/5.72 ((~v157(constB113)) | (~v202(constB113))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31432, 31431])).
% 7.49/5.72 tff(31434,plain,
% 7.49/5.72 ((~(v201(constB113) <=> (~((~v157(constB113)) | (~v202(constB113)))))) | (~v201(constB113)) | (~((~v157(constB113)) | (~v202(constB113))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31435,plain,
% 7.49/5.72 (~v201(constB113)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31434, 31433, 31162])).
% 7.49/5.72 tff(31436,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB113) <=> (~((~v159(constB113)) | (~v202(constB113)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB113) <=> (~((~v159(constB113)) | (~v202(constB113))))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31437,plain,
% 7.49/5.72 ((v205(constB113) <=> (~((~v202(constB113)) | (~v159(constB113))))) <=> (v205(constB113) <=> (~((~v159(constB113)) | (~v202(constB113)))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31438,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB113) <=> (~((~v202(constB113)) | (~v159(constB113)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB113) <=> (~((~v159(constB113)) | (~v202(constB113))))))),
% 7.49/5.72 inference(monotonicity,[status(thm)],[31437])).
% 7.49/5.72 tff(31439,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB113) <=> (~((~v202(constB113)) | (~v159(constB113)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB113) <=> (~((~v159(constB113)) | (~v202(constB113))))))),
% 7.49/5.72 inference(transitivity,[status(thm)],[31438, 31436])).
% 7.49/5.72 tff(31440,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB113) <=> (~((~v202(constB113)) | (~v159(constB113)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31441,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB113) <=> (~((~v159(constB113)) | (~v202(constB113)))))),
% 7.49/5.72 inference(modus_ponens,[status(thm)],[31440, 31439])).
% 7.49/5.72 tff(31442,plain,
% 7.49/5.72 (v205(constB113) <=> (~((~v159(constB113)) | (~v202(constB113))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31441, 138])).
% 7.49/5.72 tff(31443,plain,
% 7.49/5.72 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB113) <=> v182(constB113))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31444,plain,
% 7.49/5.72 (v159(constB113) <=> v182(constB113)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31443, 15113])).
% 7.49/5.72 tff(31445,plain,
% 7.49/5.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB112, constB113)) | (v182(constB113) <=> v180(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB112, constB113)) | (v182(constB113) <=> v180(constB112)))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31446,plain,
% 7.49/5.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB112, constB113)) | (v182(constB113) <=> v180(constB112)))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31447,plain,
% 7.49/5.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB112, constB113)) | (v182(constB113) <=> v180(constB112))),
% 7.49/5.72 inference(modus_ponens,[status(thm)],[31446, 31445])).
% 7.49/5.72 tff(31448,plain,
% 7.49/5.72 (v182(constB113) <=> v180(constB112)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31447, 921, 15125])).
% 7.49/5.72 tff(31449,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB112) <=> (~((~v183(constB112)) | (~v184(constB112)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31450,plain,
% 7.49/5.72 (v180(constB112) <=> (~((~v183(constB112)) | (~v184(constB112))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31449, 15139])).
% 7.49/5.72 tff(31451,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB112) <=> (~((~v185(constB112)) | (~v161(constB112)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31452,plain,
% 7.49/5.72 (v184(constB112) <=> (~((~v185(constB112)) | (~v161(constB112))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31451, 15151])).
% 7.49/5.72 tff(31453,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31454,plain,
% 7.49/5.72 (v185(constB112) <=> (~((~v39(constB112)) | (~v9(constB112))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31453, 93])).
% 7.49/5.72 tff(31455,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB112)) <=> v1(constB112))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31456,plain,
% 7.49/5.72 ((~v39(constB112)) <=> v1(constB112)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31455, 102])).
% 7.49/5.72 tff(31457,plain,
% 7.49/5.72 ((~((~v39(constB112)) <=> v1(constB112))) | (~v39(constB112)) | (~v1(constB112))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31458,plain,
% 7.49/5.72 ((~((~v39(constB112)) <=> v1(constB112))) | (~v39(constB112))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31457, 13624])).
% 7.49/5.72 tff(31459,plain,
% 7.49/5.72 (~v39(constB112)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31458, 31456])).
% 7.49/5.72 tff(31460,plain,
% 7.49/5.72 (((~v39(constB112)) | (~v9(constB112))) | v39(constB112)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31461,plain,
% 7.49/5.72 ((~v39(constB112)) | (~v9(constB112))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31460, 31459])).
% 7.49/5.72 tff(31462,plain,
% 7.49/5.72 ((~(v185(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))) | (~v185(constB112)) | (~((~v39(constB112)) | (~v9(constB112))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31463,plain,
% 7.49/5.72 ((~(v185(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))) | (~v185(constB112))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31462, 31461])).
% 7.49/5.72 tff(31464,plain,
% 7.49/5.72 (~v185(constB112)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31463, 31454])).
% 7.49/5.72 tff(31465,plain,
% 7.49/5.72 (((~v185(constB112)) | (~v161(constB112))) | v185(constB112)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31466,plain,
% 7.49/5.72 ((~v185(constB112)) | (~v161(constB112))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31465, 31464])).
% 7.49/5.72 tff(31467,plain,
% 7.49/5.72 ((~(v184(constB112) <=> (~((~v185(constB112)) | (~v161(constB112)))))) | (~v184(constB112)) | (~((~v185(constB112)) | (~v161(constB112))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31468,plain,
% 7.49/5.72 ((~(v184(constB112) <=> (~((~v185(constB112)) | (~v161(constB112)))))) | (~v184(constB112))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31467, 31466])).
% 7.49/5.72 tff(31469,plain,
% 7.49/5.72 (~v184(constB112)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31468, 31452])).
% 7.49/5.72 tff(31470,plain,
% 7.49/5.72 (((~v183(constB112)) | (~v184(constB112))) | v184(constB112)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31471,plain,
% 7.49/5.72 ((~v183(constB112)) | (~v184(constB112))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31470, 31469])).
% 7.49/5.72 tff(31472,plain,
% 7.49/5.72 ((~(v180(constB112) <=> (~((~v183(constB112)) | (~v184(constB112)))))) | (~v180(constB112)) | (~((~v183(constB112)) | (~v184(constB112))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31473,plain,
% 7.49/5.72 (~v180(constB112)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31472, 31471, 31450])).
% 7.49/5.72 tff(31474,plain,
% 7.49/5.72 ((~(v182(constB113) <=> v180(constB112))) | (~v182(constB113)) | v180(constB112)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31475,plain,
% 7.49/5.72 (~v182(constB113)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31474, 31473, 31448])).
% 7.49/5.72 tff(31476,plain,
% 7.49/5.72 ((~(v159(constB113) <=> v182(constB113))) | (~v159(constB113)) | v182(constB113)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31477,plain,
% 7.49/5.72 (~v159(constB113)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31476, 31475, 31444])).
% 7.49/5.72 tff(31478,plain,
% 7.49/5.72 (((~v159(constB113)) | (~v202(constB113))) | v159(constB113)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31479,plain,
% 7.49/5.72 ((~v159(constB113)) | (~v202(constB113))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31478, 31477])).
% 7.49/5.72 tff(31480,plain,
% 7.49/5.72 ((~(v205(constB113) <=> (~((~v159(constB113)) | (~v202(constB113)))))) | (~v205(constB113)) | (~((~v159(constB113)) | (~v202(constB113))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31481,plain,
% 7.49/5.72 (~v205(constB113)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31480, 31479, 31442])).
% 7.49/5.72 tff(31482,plain,
% 7.49/5.72 ((~(v201(constB113) | v205(constB113))) | v201(constB113) | v205(constB113)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31483,plain,
% 7.49/5.72 ((~(v201(constB113) | v205(constB113))) | v201(constB113)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31482, 31481])).
% 7.49/5.72 tff(31484,plain,
% 7.49/5.72 (~(v201(constB113) | v205(constB113))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31483, 31435])).
% 7.49/5.72 tff(31485,plain,
% 7.49/5.72 ((~(v200(constB113) <=> (v201(constB113) | v205(constB113)))) | (~v200(constB113)) | (v201(constB113) | v205(constB113))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31486,plain,
% 7.49/5.72 (~v200(constB113)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31485, 31484, 31155])).
% 7.49/5.72 tff(31487,plain,
% 7.49/5.72 ($false),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31486, 31153])).
% 7.49/5.72 tff(31488,plain,(~(constB113 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.72 tff(31489,assumption,(constB162 = VarCurr!0), introduced(assumption)).
% 7.49/5.72 tff(31490,plain,
% 7.49/5.72 (v200(constB162) <=> v200(VarCurr!0)),
% 7.49/5.72 inference(monotonicity,[status(thm)],[31489])).
% 7.49/5.72 tff(31491,plain,
% 7.49/5.72 (v200(VarCurr!0) <=> v200(constB162)),
% 7.49/5.72 inference(symmetry,[status(thm)],[31490])).
% 7.49/5.72 tff(31492,plain,
% 7.49/5.72 (v200(constB162)),
% 7.49/5.72 inference(modus_ponens,[status(thm)],[27, 31491])).
% 7.49/5.72 tff(31493,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB162) <=> (v201(constB162) | v205(constB162)))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31494,plain,
% 7.49/5.72 (v200(constB162) <=> (v201(constB162) | v205(constB162))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31493, 35])).
% 7.49/5.72 tff(31495,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB162) <=> (~((~v157(constB162)) | (~v202(constB162)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB162) <=> (~((~v157(constB162)) | (~v202(constB162))))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31496,plain,
% 7.49/5.72 ((v201(constB162) <=> (~((~v202(constB162)) | (~v157(constB162))))) <=> (v201(constB162) <=> (~((~v157(constB162)) | (~v202(constB162)))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31497,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB162) <=> (~((~v202(constB162)) | (~v157(constB162)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB162) <=> (~((~v157(constB162)) | (~v202(constB162))))))),
% 7.49/5.72 inference(monotonicity,[status(thm)],[31496])).
% 7.49/5.72 tff(31498,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB162) <=> (~((~v202(constB162)) | (~v157(constB162)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB162) <=> (~((~v157(constB162)) | (~v202(constB162))))))),
% 7.49/5.72 inference(transitivity,[status(thm)],[31497, 31495])).
% 7.49/5.72 tff(31499,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB162) <=> (~((~v202(constB162)) | (~v157(constB162)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31500,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB162) <=> (~((~v157(constB162)) | (~v202(constB162)))))),
% 7.49/5.72 inference(modus_ponens,[status(thm)],[31499, 31498])).
% 7.49/5.72 tff(31501,plain,
% 7.49/5.72 (v201(constB162) <=> (~((~v157(constB162)) | (~v202(constB162))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31500, 47])).
% 7.49/5.72 tff(31502,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB162) <=> (~((~v183(constB162)) | (~v203(constB162)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31503,plain,
% 7.49/5.72 (v202(constB162) <=> (~((~v183(constB162)) | (~v203(constB162))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31502, 64])).
% 7.49/5.72 tff(31504,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB162) <=> (~((~v185(constB162)) | (~v204(constB162)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB162) <=> (~((~v185(constB162)) | (~v204(constB162))))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31505,plain,
% 7.49/5.72 ((v203(constB162) <=> (~((~v204(constB162)) | (~v185(constB162))))) <=> (v203(constB162) <=> (~((~v185(constB162)) | (~v204(constB162)))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31506,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB162) <=> (~((~v204(constB162)) | (~v185(constB162)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB162) <=> (~((~v185(constB162)) | (~v204(constB162))))))),
% 7.49/5.72 inference(monotonicity,[status(thm)],[31505])).
% 7.49/5.72 tff(31507,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB162) <=> (~((~v204(constB162)) | (~v185(constB162)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB162) <=> (~((~v185(constB162)) | (~v204(constB162))))))),
% 7.49/5.72 inference(transitivity,[status(thm)],[31506, 31504])).
% 7.49/5.72 tff(31508,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB162) <=> (~((~v204(constB162)) | (~v185(constB162)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31509,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB162) <=> (~((~v185(constB162)) | (~v204(constB162)))))),
% 7.49/5.72 inference(modus_ponens,[status(thm)],[31508, 31507])).
% 7.49/5.72 tff(31510,plain,
% 7.49/5.72 (v203(constB162) <=> (~((~v185(constB162)) | (~v204(constB162))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31509, 76])).
% 7.49/5.72 tff(31511,plain,
% 7.49/5.72 (((~v185(constB162)) | (~v204(constB162))) | v185(constB162)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31512,plain,
% 7.49/5.72 ((~v185(constB162)) | (~v204(constB162))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31511, 30080])).
% 7.49/5.72 tff(31513,plain,
% 7.49/5.72 ((~(v203(constB162) <=> (~((~v185(constB162)) | (~v204(constB162)))))) | (~v203(constB162)) | (~((~v185(constB162)) | (~v204(constB162))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31514,plain,
% 7.49/5.72 ((~(v203(constB162) <=> (~((~v185(constB162)) | (~v204(constB162)))))) | (~v203(constB162))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31513, 31512])).
% 7.49/5.72 tff(31515,plain,
% 7.49/5.72 (~v203(constB162)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31514, 31510])).
% 7.49/5.72 tff(31516,plain,
% 7.49/5.72 (((~v183(constB162)) | (~v203(constB162))) | v203(constB162)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31517,plain,
% 7.49/5.72 ((~v183(constB162)) | (~v203(constB162))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31516, 31515])).
% 7.49/5.72 tff(31518,plain,
% 7.49/5.72 ((~(v202(constB162) <=> (~((~v183(constB162)) | (~v203(constB162)))))) | (~v202(constB162)) | (~((~v183(constB162)) | (~v203(constB162))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31519,plain,
% 7.49/5.72 (~v202(constB162)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31518, 31517, 31503])).
% 7.49/5.72 tff(31520,plain,
% 7.49/5.72 (((~v157(constB162)) | (~v202(constB162))) | v202(constB162)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31521,plain,
% 7.49/5.72 ((~v157(constB162)) | (~v202(constB162))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31520, 31519])).
% 7.49/5.72 tff(31522,plain,
% 7.49/5.72 ((~(v201(constB162) <=> (~((~v157(constB162)) | (~v202(constB162)))))) | (~v201(constB162)) | (~((~v157(constB162)) | (~v202(constB162))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31523,plain,
% 7.49/5.72 (~v201(constB162)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31522, 31521, 31501])).
% 7.49/5.72 tff(31524,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB162) <=> (~((~v159(constB162)) | (~v202(constB162)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB162) <=> (~((~v159(constB162)) | (~v202(constB162))))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31525,plain,
% 7.49/5.72 ((v205(constB162) <=> (~((~v202(constB162)) | (~v159(constB162))))) <=> (v205(constB162) <=> (~((~v159(constB162)) | (~v202(constB162)))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31526,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB162) <=> (~((~v202(constB162)) | (~v159(constB162)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB162) <=> (~((~v159(constB162)) | (~v202(constB162))))))),
% 7.49/5.72 inference(monotonicity,[status(thm)],[31525])).
% 7.49/5.72 tff(31527,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB162) <=> (~((~v202(constB162)) | (~v159(constB162)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB162) <=> (~((~v159(constB162)) | (~v202(constB162))))))),
% 7.49/5.72 inference(transitivity,[status(thm)],[31526, 31524])).
% 7.49/5.72 tff(31528,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB162) <=> (~((~v202(constB162)) | (~v159(constB162)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31529,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB162) <=> (~((~v159(constB162)) | (~v202(constB162)))))),
% 7.49/5.72 inference(modus_ponens,[status(thm)],[31528, 31527])).
% 7.49/5.72 tff(31530,plain,
% 7.49/5.72 (v205(constB162) <=> (~((~v159(constB162)) | (~v202(constB162))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31529, 138])).
% 7.49/5.72 tff(31531,plain,
% 7.49/5.72 (((~v159(constB162)) | (~v202(constB162))) | v202(constB162)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31532,plain,
% 7.49/5.72 ((~v159(constB162)) | (~v202(constB162))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31531, 31519])).
% 7.49/5.72 tff(31533,plain,
% 7.49/5.72 ((~(v205(constB162) <=> (~((~v159(constB162)) | (~v202(constB162)))))) | (~v205(constB162)) | (~((~v159(constB162)) | (~v202(constB162))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31534,plain,
% 7.49/5.72 (~v205(constB162)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31533, 31532, 31530])).
% 7.49/5.72 tff(31535,plain,
% 7.49/5.72 ((~(v201(constB162) | v205(constB162))) | v201(constB162) | v205(constB162)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31536,plain,
% 7.49/5.72 (~(v201(constB162) | v205(constB162))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31535, 31534, 31523])).
% 7.49/5.72 tff(31537,plain,
% 7.49/5.72 ((~(v200(constB162) <=> (v201(constB162) | v205(constB162)))) | (~v200(constB162)) | (v201(constB162) | v205(constB162))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31538,plain,
% 7.49/5.72 ((~(v200(constB162) <=> (v201(constB162) | v205(constB162)))) | (~v200(constB162))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31537, 31536])).
% 7.49/5.72 tff(31539,plain,
% 7.49/5.72 (~v200(constB162)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31538, 31494])).
% 7.49/5.72 tff(31540,plain,
% 7.49/5.72 ($false),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31539, 31492])).
% 7.49/5.72 tff(31541,plain,(~(constB162 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.72 tff(31542,assumption,(constB126 = VarCurr!0), introduced(assumption)).
% 7.49/5.72 tff(31543,plain,
% 7.49/5.72 (v200(constB126) <=> v200(VarCurr!0)),
% 7.49/5.72 inference(monotonicity,[status(thm)],[31542])).
% 7.49/5.72 tff(31544,plain,
% 7.49/5.72 (v200(VarCurr!0) <=> v200(constB126)),
% 7.49/5.72 inference(symmetry,[status(thm)],[31543])).
% 7.49/5.72 tff(31545,plain,
% 7.49/5.72 (v200(constB126)),
% 7.49/5.72 inference(modus_ponens,[status(thm)],[27, 31544])).
% 7.49/5.72 tff(31546,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB126) <=> (v201(constB126) | v205(constB126)))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31547,plain,
% 7.49/5.72 (v200(constB126) <=> (v201(constB126) | v205(constB126))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31546, 35])).
% 7.49/5.72 tff(31548,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB126) <=> (~((~v157(constB126)) | (~v202(constB126)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB126) <=> (~((~v157(constB126)) | (~v202(constB126))))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31549,plain,
% 7.49/5.72 ((v201(constB126) <=> (~((~v202(constB126)) | (~v157(constB126))))) <=> (v201(constB126) <=> (~((~v157(constB126)) | (~v202(constB126)))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31550,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB126) <=> (~((~v202(constB126)) | (~v157(constB126)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB126) <=> (~((~v157(constB126)) | (~v202(constB126))))))),
% 7.49/5.72 inference(monotonicity,[status(thm)],[31549])).
% 7.49/5.72 tff(31551,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB126) <=> (~((~v202(constB126)) | (~v157(constB126)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB126) <=> (~((~v157(constB126)) | (~v202(constB126))))))),
% 7.49/5.72 inference(transitivity,[status(thm)],[31550, 31548])).
% 7.49/5.72 tff(31552,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB126) <=> (~((~v202(constB126)) | (~v157(constB126)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31553,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB126) <=> (~((~v157(constB126)) | (~v202(constB126)))))),
% 7.49/5.72 inference(modus_ponens,[status(thm)],[31552, 31551])).
% 7.49/5.72 tff(31554,plain,
% 7.49/5.72 (v201(constB126) <=> (~((~v157(constB126)) | (~v202(constB126))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31553, 47])).
% 7.49/5.72 tff(31555,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB126) <=> (~((~v183(constB126)) | (~v203(constB126)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31556,plain,
% 7.49/5.72 (v202(constB126) <=> (~((~v183(constB126)) | (~v203(constB126))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31555, 64])).
% 7.49/5.72 tff(31557,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB126) <=> (~((~v185(constB126)) | (~v204(constB126)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB126) <=> (~((~v185(constB126)) | (~v204(constB126))))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31558,plain,
% 7.49/5.72 ((v203(constB126) <=> (~((~v204(constB126)) | (~v185(constB126))))) <=> (v203(constB126) <=> (~((~v185(constB126)) | (~v204(constB126)))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31559,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB126) <=> (~((~v204(constB126)) | (~v185(constB126)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB126) <=> (~((~v185(constB126)) | (~v204(constB126))))))),
% 7.49/5.72 inference(monotonicity,[status(thm)],[31558])).
% 7.49/5.72 tff(31560,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB126) <=> (~((~v204(constB126)) | (~v185(constB126)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB126) <=> (~((~v185(constB126)) | (~v204(constB126))))))),
% 7.49/5.72 inference(transitivity,[status(thm)],[31559, 31557])).
% 7.49/5.72 tff(31561,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB126) <=> (~((~v204(constB126)) | (~v185(constB126)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31562,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB126) <=> (~((~v185(constB126)) | (~v204(constB126)))))),
% 7.49/5.72 inference(modus_ponens,[status(thm)],[31561, 31560])).
% 7.49/5.72 tff(31563,plain,
% 7.49/5.72 (v203(constB126) <=> (~((~v185(constB126)) | (~v204(constB126))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31562, 76])).
% 7.49/5.72 tff(31564,plain,
% 7.49/5.72 (((~v185(constB126)) | (~v204(constB126))) | v185(constB126)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31565,plain,
% 7.49/5.72 ((~v185(constB126)) | (~v204(constB126))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31564, 28886])).
% 7.49/5.72 tff(31566,plain,
% 7.49/5.72 ((~(v203(constB126) <=> (~((~v185(constB126)) | (~v204(constB126)))))) | (~v203(constB126)) | (~((~v185(constB126)) | (~v204(constB126))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31567,plain,
% 7.49/5.72 ((~(v203(constB126) <=> (~((~v185(constB126)) | (~v204(constB126)))))) | (~v203(constB126))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31566, 31565])).
% 7.49/5.72 tff(31568,plain,
% 7.49/5.72 (~v203(constB126)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31567, 31563])).
% 7.49/5.72 tff(31569,plain,
% 7.49/5.72 (((~v183(constB126)) | (~v203(constB126))) | v203(constB126)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31570,plain,
% 7.49/5.72 ((~v183(constB126)) | (~v203(constB126))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31569, 31568])).
% 7.49/5.72 tff(31571,plain,
% 7.49/5.72 ((~(v202(constB126) <=> (~((~v183(constB126)) | (~v203(constB126)))))) | (~v202(constB126)) | (~((~v183(constB126)) | (~v203(constB126))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31572,plain,
% 7.49/5.72 (~v202(constB126)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31571, 31570, 31556])).
% 7.49/5.72 tff(31573,plain,
% 7.49/5.72 (((~v157(constB126)) | (~v202(constB126))) | v202(constB126)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31574,plain,
% 7.49/5.72 ((~v157(constB126)) | (~v202(constB126))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31573, 31572])).
% 7.49/5.72 tff(31575,plain,
% 7.49/5.72 ((~(v201(constB126) <=> (~((~v157(constB126)) | (~v202(constB126)))))) | (~v201(constB126)) | (~((~v157(constB126)) | (~v202(constB126))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31576,plain,
% 7.49/5.72 (~v201(constB126)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31575, 31574, 31554])).
% 7.49/5.72 tff(31577,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB126) <=> (~((~v159(constB126)) | (~v202(constB126)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB126) <=> (~((~v159(constB126)) | (~v202(constB126))))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31578,plain,
% 7.49/5.72 ((v205(constB126) <=> (~((~v202(constB126)) | (~v159(constB126))))) <=> (v205(constB126) <=> (~((~v159(constB126)) | (~v202(constB126)))))),
% 7.49/5.72 inference(rewrite,[status(thm)],[])).
% 7.49/5.72 tff(31579,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB126) <=> (~((~v202(constB126)) | (~v159(constB126)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB126) <=> (~((~v159(constB126)) | (~v202(constB126))))))),
% 7.49/5.72 inference(monotonicity,[status(thm)],[31578])).
% 7.49/5.72 tff(31580,plain,
% 7.49/5.72 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB126) <=> (~((~v202(constB126)) | (~v159(constB126)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB126) <=> (~((~v159(constB126)) | (~v202(constB126))))))),
% 7.49/5.72 inference(transitivity,[status(thm)],[31579, 31577])).
% 7.49/5.72 tff(31581,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB126) <=> (~((~v202(constB126)) | (~v159(constB126)))))),
% 7.49/5.72 inference(quant_inst,[status(thm)],[])).
% 7.49/5.72 tff(31582,plain,
% 7.49/5.72 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB126) <=> (~((~v159(constB126)) | (~v202(constB126)))))),
% 7.49/5.72 inference(modus_ponens,[status(thm)],[31581, 31580])).
% 7.49/5.72 tff(31583,plain,
% 7.49/5.72 (v205(constB126) <=> (~((~v159(constB126)) | (~v202(constB126))))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31582, 138])).
% 7.49/5.72 tff(31584,plain,
% 7.49/5.72 (((~v159(constB126)) | (~v202(constB126))) | v202(constB126)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31585,plain,
% 7.49/5.72 ((~v159(constB126)) | (~v202(constB126))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31584, 31572])).
% 7.49/5.72 tff(31586,plain,
% 7.49/5.72 ((~(v205(constB126) <=> (~((~v159(constB126)) | (~v202(constB126)))))) | (~v205(constB126)) | (~((~v159(constB126)) | (~v202(constB126))))),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31587,plain,
% 7.49/5.72 (~v205(constB126)),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31586, 31585, 31583])).
% 7.49/5.72 tff(31588,plain,
% 7.49/5.72 ((~(v201(constB126) | v205(constB126))) | v201(constB126) | v205(constB126)),
% 7.49/5.72 inference(tautology,[status(thm)],[])).
% 7.49/5.72 tff(31589,plain,
% 7.49/5.72 (~(v201(constB126) | v205(constB126))),
% 7.49/5.72 inference(unit_resolution,[status(thm)],[31588, 31587, 31576])).
% 7.49/5.73 tff(31590,plain,
% 7.49/5.73 ((~(v200(constB126) <=> (v201(constB126) | v205(constB126)))) | (~v200(constB126)) | (v201(constB126) | v205(constB126))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31591,plain,
% 7.49/5.73 ((~(v200(constB126) <=> (v201(constB126) | v205(constB126)))) | (~v200(constB126))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31590, 31589])).
% 7.49/5.73 tff(31592,plain,
% 7.49/5.73 (~v200(constB126)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31591, 31547])).
% 7.49/5.73 tff(31593,plain,
% 7.49/5.73 ($false),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31592, 31545])).
% 7.49/5.73 tff(31594,plain,(~(constB126 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.73 tff(31595,assumption,(constB184 = VarCurr!0), introduced(assumption)).
% 7.49/5.73 tff(31596,plain,
% 7.49/5.73 (v200(constB184) <=> v200(VarCurr!0)),
% 7.49/5.73 inference(monotonicity,[status(thm)],[31595])).
% 7.49/5.73 tff(31597,plain,
% 7.49/5.73 (v200(VarCurr!0) <=> v200(constB184)),
% 7.49/5.73 inference(symmetry,[status(thm)],[31596])).
% 7.49/5.73 tff(31598,plain,
% 7.49/5.73 (v200(constB184)),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[27, 31597])).
% 7.49/5.73 tff(31599,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB184) <=> (v201(constB184) | v205(constB184)))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31600,plain,
% 7.49/5.73 (v200(constB184) <=> (v201(constB184) | v205(constB184))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31599, 35])).
% 7.49/5.73 tff(31601,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB184) <=> (~((~v157(constB184)) | (~v202(constB184)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB184) <=> (~((~v157(constB184)) | (~v202(constB184))))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31602,plain,
% 7.49/5.73 ((v201(constB184) <=> (~((~v202(constB184)) | (~v157(constB184))))) <=> (v201(constB184) <=> (~((~v157(constB184)) | (~v202(constB184)))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31603,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB184) <=> (~((~v202(constB184)) | (~v157(constB184)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB184) <=> (~((~v157(constB184)) | (~v202(constB184))))))),
% 7.49/5.73 inference(monotonicity,[status(thm)],[31602])).
% 7.49/5.73 tff(31604,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB184) <=> (~((~v202(constB184)) | (~v157(constB184)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB184) <=> (~((~v157(constB184)) | (~v202(constB184))))))),
% 7.49/5.73 inference(transitivity,[status(thm)],[31603, 31601])).
% 7.49/5.73 tff(31605,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB184) <=> (~((~v202(constB184)) | (~v157(constB184)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31606,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB184) <=> (~((~v157(constB184)) | (~v202(constB184)))))),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[31605, 31604])).
% 7.49/5.73 tff(31607,plain,
% 7.49/5.73 (v201(constB184) <=> (~((~v157(constB184)) | (~v202(constB184))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31606, 47])).
% 7.49/5.73 tff(31608,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB184) <=> (~((~v183(constB184)) | (~v203(constB184)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31609,plain,
% 7.49/5.73 (v202(constB184) <=> (~((~v183(constB184)) | (~v203(constB184))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31608, 64])).
% 7.49/5.73 tff(31610,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB184) <=> (~((~v185(constB184)) | (~v204(constB184)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB184) <=> (~((~v185(constB184)) | (~v204(constB184))))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31611,plain,
% 7.49/5.73 ((v203(constB184) <=> (~((~v204(constB184)) | (~v185(constB184))))) <=> (v203(constB184) <=> (~((~v185(constB184)) | (~v204(constB184)))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31612,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB184) <=> (~((~v204(constB184)) | (~v185(constB184)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB184) <=> (~((~v185(constB184)) | (~v204(constB184))))))),
% 7.49/5.73 inference(monotonicity,[status(thm)],[31611])).
% 7.49/5.73 tff(31613,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB184) <=> (~((~v204(constB184)) | (~v185(constB184)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB184) <=> (~((~v185(constB184)) | (~v204(constB184))))))),
% 7.49/5.73 inference(transitivity,[status(thm)],[31612, 31610])).
% 7.49/5.73 tff(31614,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB184) <=> (~((~v204(constB184)) | (~v185(constB184)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31615,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB184) <=> (~((~v185(constB184)) | (~v204(constB184)))))),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[31614, 31613])).
% 7.49/5.73 tff(31616,plain,
% 7.49/5.73 (v203(constB184) <=> (~((~v185(constB184)) | (~v204(constB184))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31615, 76])).
% 7.49/5.73 tff(31617,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB184) <=> (~((~v39(constB184)) | (~v9(constB184)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31618,plain,
% 7.49/5.73 (v185(constB184) <=> (~((~v39(constB184)) | (~v9(constB184))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31617, 93])).
% 7.49/5.73 tff(31619,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB184)) <=> v1(constB184))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31620,plain,
% 7.49/5.73 ((~v39(constB184)) <=> v1(constB184)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31619, 102])).
% 7.49/5.73 tff(31621,plain,
% 7.49/5.73 ((~((~v39(constB184)) <=> v1(constB184))) | (~v39(constB184)) | (~v1(constB184))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31622,plain,
% 7.49/5.73 ((~((~v39(constB184)) <=> v1(constB184))) | (~v39(constB184))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31621, 22927])).
% 7.49/5.73 tff(31623,plain,
% 7.49/5.73 (~v39(constB184)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31622, 31620])).
% 7.49/5.73 tff(31624,plain,
% 7.49/5.73 (((~v39(constB184)) | (~v9(constB184))) | v39(constB184)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31625,plain,
% 7.49/5.73 ((~v39(constB184)) | (~v9(constB184))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31624, 31623])).
% 7.49/5.73 tff(31626,plain,
% 7.49/5.73 ((~(v185(constB184) <=> (~((~v39(constB184)) | (~v9(constB184)))))) | (~v185(constB184)) | (~((~v39(constB184)) | (~v9(constB184))))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31627,plain,
% 7.49/5.73 ((~(v185(constB184) <=> (~((~v39(constB184)) | (~v9(constB184)))))) | (~v185(constB184))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31626, 31625])).
% 7.49/5.73 tff(31628,plain,
% 7.49/5.73 (~v185(constB184)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31627, 31618])).
% 7.49/5.73 tff(31629,plain,
% 7.49/5.73 (((~v185(constB184)) | (~v204(constB184))) | v185(constB184)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31630,plain,
% 7.49/5.73 ((~v185(constB184)) | (~v204(constB184))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31629, 31628])).
% 7.49/5.73 tff(31631,plain,
% 7.49/5.73 ((~(v203(constB184) <=> (~((~v185(constB184)) | (~v204(constB184)))))) | (~v203(constB184)) | (~((~v185(constB184)) | (~v204(constB184))))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31632,plain,
% 7.49/5.73 ((~(v203(constB184) <=> (~((~v185(constB184)) | (~v204(constB184)))))) | (~v203(constB184))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31631, 31630])).
% 7.49/5.73 tff(31633,plain,
% 7.49/5.73 (~v203(constB184)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31632, 31616])).
% 7.49/5.73 tff(31634,plain,
% 7.49/5.73 (((~v183(constB184)) | (~v203(constB184))) | v203(constB184)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31635,plain,
% 7.49/5.73 ((~v183(constB184)) | (~v203(constB184))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31634, 31633])).
% 7.49/5.73 tff(31636,plain,
% 7.49/5.73 ((~(v202(constB184) <=> (~((~v183(constB184)) | (~v203(constB184)))))) | (~v202(constB184)) | (~((~v183(constB184)) | (~v203(constB184))))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31637,plain,
% 7.49/5.73 (~v202(constB184)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31636, 31635, 31609])).
% 7.49/5.73 tff(31638,plain,
% 7.49/5.73 (((~v157(constB184)) | (~v202(constB184))) | v202(constB184)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31639,plain,
% 7.49/5.73 ((~v157(constB184)) | (~v202(constB184))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31638, 31637])).
% 7.49/5.73 tff(31640,plain,
% 7.49/5.73 ((~(v201(constB184) <=> (~((~v157(constB184)) | (~v202(constB184)))))) | (~v201(constB184)) | (~((~v157(constB184)) | (~v202(constB184))))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31641,plain,
% 7.49/5.73 (~v201(constB184)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31640, 31639, 31607])).
% 7.49/5.73 tff(31642,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB184) <=> (~((~v159(constB184)) | (~v202(constB184)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB184) <=> (~((~v159(constB184)) | (~v202(constB184))))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31643,plain,
% 7.49/5.73 ((v205(constB184) <=> (~((~v202(constB184)) | (~v159(constB184))))) <=> (v205(constB184) <=> (~((~v159(constB184)) | (~v202(constB184)))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31644,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB184) <=> (~((~v202(constB184)) | (~v159(constB184)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB184) <=> (~((~v159(constB184)) | (~v202(constB184))))))),
% 7.49/5.73 inference(monotonicity,[status(thm)],[31643])).
% 7.49/5.73 tff(31645,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB184) <=> (~((~v202(constB184)) | (~v159(constB184)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB184) <=> (~((~v159(constB184)) | (~v202(constB184))))))),
% 7.49/5.73 inference(transitivity,[status(thm)],[31644, 31642])).
% 7.49/5.73 tff(31646,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB184) <=> (~((~v202(constB184)) | (~v159(constB184)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31647,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB184) <=> (~((~v159(constB184)) | (~v202(constB184)))))),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[31646, 31645])).
% 7.49/5.73 tff(31648,plain,
% 7.49/5.73 (v205(constB184) <=> (~((~v159(constB184)) | (~v202(constB184))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31647, 138])).
% 7.49/5.73 tff(31649,plain,
% 7.49/5.73 (((~v159(constB184)) | (~v202(constB184))) | v202(constB184)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31650,plain,
% 7.49/5.73 ((~v159(constB184)) | (~v202(constB184))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31649, 31637])).
% 7.49/5.73 tff(31651,plain,
% 7.49/5.73 ((~(v205(constB184) <=> (~((~v159(constB184)) | (~v202(constB184)))))) | (~v205(constB184)) | (~((~v159(constB184)) | (~v202(constB184))))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31652,plain,
% 7.49/5.73 (~v205(constB184)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31651, 31650, 31648])).
% 7.49/5.73 tff(31653,plain,
% 7.49/5.73 ((~(v201(constB184) | v205(constB184))) | v201(constB184) | v205(constB184)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31654,plain,
% 7.49/5.73 (~(v201(constB184) | v205(constB184))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31653, 31652, 31641])).
% 7.49/5.73 tff(31655,plain,
% 7.49/5.73 ((~(v200(constB184) <=> (v201(constB184) | v205(constB184)))) | (~v200(constB184)) | (v201(constB184) | v205(constB184))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31656,plain,
% 7.49/5.73 ((~(v200(constB184) <=> (v201(constB184) | v205(constB184)))) | (~v200(constB184))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31655, 31654])).
% 7.49/5.73 tff(31657,plain,
% 7.49/5.73 (~v200(constB184)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31656, 31600])).
% 7.49/5.73 tff(31658,plain,
% 7.49/5.73 ($false),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31657, 31598])).
% 7.49/5.73 tff(31659,plain,(~(constB184 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.73 tff(31660,assumption,(constB75 = VarCurr!0), introduced(assumption)).
% 7.49/5.73 tff(31661,plain,
% 7.49/5.73 (v200(constB75) <=> v200(VarCurr!0)),
% 7.49/5.73 inference(monotonicity,[status(thm)],[31660])).
% 7.49/5.73 tff(31662,plain,
% 7.49/5.73 (v200(VarCurr!0) <=> v200(constB75)),
% 7.49/5.73 inference(symmetry,[status(thm)],[31661])).
% 7.49/5.73 tff(31663,plain,
% 7.49/5.73 (v200(constB75)),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[27, 31662])).
% 7.49/5.73 tff(31664,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB75) <=> (v201(constB75) | v205(constB75)))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31665,plain,
% 7.49/5.73 (v200(constB75) <=> (v201(constB75) | v205(constB75))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31664, 35])).
% 7.49/5.73 tff(31666,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB75) <=> (~((~v157(constB75)) | (~v202(constB75)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB75) <=> (~((~v157(constB75)) | (~v202(constB75))))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31667,plain,
% 7.49/5.73 ((v201(constB75) <=> (~((~v202(constB75)) | (~v157(constB75))))) <=> (v201(constB75) <=> (~((~v157(constB75)) | (~v202(constB75)))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31668,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB75) <=> (~((~v202(constB75)) | (~v157(constB75)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB75) <=> (~((~v157(constB75)) | (~v202(constB75))))))),
% 7.49/5.73 inference(monotonicity,[status(thm)],[31667])).
% 7.49/5.73 tff(31669,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB75) <=> (~((~v202(constB75)) | (~v157(constB75)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB75) <=> (~((~v157(constB75)) | (~v202(constB75))))))),
% 7.49/5.73 inference(transitivity,[status(thm)],[31668, 31666])).
% 7.49/5.73 tff(31670,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB75) <=> (~((~v202(constB75)) | (~v157(constB75)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31671,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB75) <=> (~((~v157(constB75)) | (~v202(constB75)))))),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[31670, 31669])).
% 7.49/5.73 tff(31672,plain,
% 7.49/5.73 (v201(constB75) <=> (~((~v157(constB75)) | (~v202(constB75))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31671, 47])).
% 7.49/5.73 tff(31673,plain,
% 7.49/5.73 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB75) <=> v192(constB75))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31674,plain,
% 7.49/5.73 (v157(constB75) <=> v192(constB75)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31673, 15407])).
% 7.49/5.73 tff(31675,plain,
% 7.49/5.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB74, constB75)) | (v192(constB75) <=> v190(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB74, constB75)) | (v192(constB75) <=> v190(constB74)))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31676,plain,
% 7.49/5.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB74, constB75)) | (v192(constB75) <=> v190(constB74)))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31677,plain,
% 7.49/5.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB74, constB75)) | (v192(constB75) <=> v190(constB74))),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[31676, 31675])).
% 7.49/5.73 tff(31678,plain,
% 7.49/5.73 (v192(constB75) <=> v190(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31677, 2135, 15419])).
% 7.49/5.73 tff(31679,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB74) <=> (v193(constB74) | v196(constB74)))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31680,plain,
% 7.49/5.73 (v190(constB74) <=> (v193(constB74) | v196(constB74))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31679, 15430])).
% 7.49/5.73 tff(31681,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB74) <=> (~((~v157(constB74)) | (~v194(constB74)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB74) <=> (~((~v157(constB74)) | (~v194(constB74))))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31682,plain,
% 7.49/5.73 ((v193(constB74) <=> (~((~v194(constB74)) | (~v157(constB74))))) <=> (v193(constB74) <=> (~((~v157(constB74)) | (~v194(constB74)))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31683,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB74) <=> (~((~v194(constB74)) | (~v157(constB74)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB74) <=> (~((~v157(constB74)) | (~v194(constB74))))))),
% 7.49/5.73 inference(monotonicity,[status(thm)],[31682])).
% 7.49/5.73 tff(31684,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB74) <=> (~((~v194(constB74)) | (~v157(constB74)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB74) <=> (~((~v157(constB74)) | (~v194(constB74))))))),
% 7.49/5.73 inference(transitivity,[status(thm)],[31683, 31681])).
% 7.49/5.73 tff(31685,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB74) <=> (~((~v194(constB74)) | (~v157(constB74)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31686,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB74) <=> (~((~v157(constB74)) | (~v194(constB74)))))),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[31685, 31684])).
% 7.49/5.73 tff(31687,plain,
% 7.49/5.73 (v193(constB74) <=> (~((~v157(constB74)) | (~v194(constB74))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31686, 15442])).
% 7.49/5.73 tff(31688,plain,
% 7.49/5.73 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB74) <=> v192(constB74))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31689,plain,
% 7.49/5.73 (v157(constB74) <=> v192(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31688, 15407])).
% 7.49/5.73 tff(31690,plain,
% 7.49/5.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB73, constB74)) | (v192(constB74) <=> v190(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB73, constB74)) | (v192(constB74) <=> v190(constB73)))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31691,plain,
% 7.49/5.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB73, constB74)) | (v192(constB74) <=> v190(constB73)))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31692,plain,
% 7.49/5.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB73, constB74)) | (v192(constB74) <=> v190(constB73))),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[31691, 31690])).
% 7.49/5.73 tff(31693,plain,
% 7.49/5.73 (v192(constB74) <=> v190(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31692, 2171, 15419])).
% 7.49/5.73 tff(31694,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB73) <=> (v193(constB73) | v196(constB73)))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31695,plain,
% 7.49/5.73 (v190(constB73) <=> (v193(constB73) | v196(constB73))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31694, 15430])).
% 7.49/5.73 tff(31696,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB73) <=> (~((~v159(constB73)) | (~v194(constB73)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB73) <=> (~((~v159(constB73)) | (~v194(constB73))))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31697,plain,
% 7.49/5.73 ((v196(constB73) <=> (~((~v194(constB73)) | (~v159(constB73))))) <=> (v196(constB73) <=> (~((~v159(constB73)) | (~v194(constB73)))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31698,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB73) <=> (~((~v194(constB73)) | (~v159(constB73)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB73) <=> (~((~v159(constB73)) | (~v194(constB73))))))),
% 7.49/5.73 inference(monotonicity,[status(thm)],[31697])).
% 7.49/5.73 tff(31699,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB73) <=> (~((~v194(constB73)) | (~v159(constB73)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB73) <=> (~((~v159(constB73)) | (~v194(constB73))))))),
% 7.49/5.73 inference(transitivity,[status(thm)],[31698, 31696])).
% 7.49/5.73 tff(31700,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB73) <=> (~((~v194(constB73)) | (~v159(constB73)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31701,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB73) <=> (~((~v159(constB73)) | (~v194(constB73)))))),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[31700, 31699])).
% 7.49/5.73 tff(31702,plain,
% 7.49/5.73 (v196(constB73) <=> (~((~v159(constB73)) | (~v194(constB73))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31701, 15467])).
% 7.49/5.73 tff(31703,plain,
% 7.49/5.73 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB73) <=> v182(constB73))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31704,plain,
% 7.49/5.73 (v159(constB73) <=> v182(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31703, 15113])).
% 7.49/5.73 tff(31705,plain,
% 7.49/5.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB72, constB73)) | (v182(constB73) <=> v180(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB72, constB73)) | (v182(constB73) <=> v180(constB72)))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31706,plain,
% 7.49/5.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB72, constB73)) | (v182(constB73) <=> v180(constB72)))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31707,plain,
% 7.49/5.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB72, constB73)) | (v182(constB73) <=> v180(constB72))),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[31706, 31705])).
% 7.49/5.73 tff(31708,plain,
% 7.49/5.73 (v182(constB73) <=> v180(constB72)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31707, 2201, 15125])).
% 7.49/5.73 tff(31709,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB72) <=> (~((~v183(constB72)) | (~v184(constB72)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31710,plain,
% 7.49/5.73 (v180(constB72) <=> (~((~v183(constB72)) | (~v184(constB72))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31709, 15139])).
% 7.49/5.73 tff(31711,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB72) <=> (~((~v185(constB72)) | (~v161(constB72)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31712,plain,
% 7.49/5.73 (v184(constB72) <=> (~((~v185(constB72)) | (~v161(constB72))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31711, 15151])).
% 7.49/5.73 tff(31713,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB72) <=> (~((~v39(constB72)) | (~v9(constB72)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31714,plain,
% 7.49/5.73 (v185(constB72) <=> (~((~v39(constB72)) | (~v9(constB72))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31713, 93])).
% 7.49/5.73 tff(31715,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB72)) <=> v1(constB72))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31716,plain,
% 7.49/5.73 ((~v39(constB72)) <=> v1(constB72)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31715, 102])).
% 7.49/5.73 tff(31717,plain,
% 7.49/5.73 ((~((~v39(constB72)) <=> v1(constB72))) | (~v39(constB72)) | (~v1(constB72))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31718,plain,
% 7.49/5.73 ((~((~v39(constB72)) <=> v1(constB72))) | (~v39(constB72))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31717, 10426])).
% 7.49/5.73 tff(31719,plain,
% 7.49/5.73 (~v39(constB72)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31718, 31716])).
% 7.49/5.73 tff(31720,plain,
% 7.49/5.73 (((~v39(constB72)) | (~v9(constB72))) | v39(constB72)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31721,plain,
% 7.49/5.73 ((~v39(constB72)) | (~v9(constB72))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31720, 31719])).
% 7.49/5.73 tff(31722,plain,
% 7.49/5.73 ((~(v185(constB72) <=> (~((~v39(constB72)) | (~v9(constB72)))))) | (~v185(constB72)) | (~((~v39(constB72)) | (~v9(constB72))))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31723,plain,
% 7.49/5.73 ((~(v185(constB72) <=> (~((~v39(constB72)) | (~v9(constB72)))))) | (~v185(constB72))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31722, 31721])).
% 7.49/5.73 tff(31724,plain,
% 7.49/5.73 (~v185(constB72)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31723, 31714])).
% 7.49/5.73 tff(31725,plain,
% 7.49/5.73 (((~v185(constB72)) | (~v161(constB72))) | v185(constB72)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31726,plain,
% 7.49/5.73 ((~v185(constB72)) | (~v161(constB72))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31725, 31724])).
% 7.49/5.73 tff(31727,plain,
% 7.49/5.73 ((~(v184(constB72) <=> (~((~v185(constB72)) | (~v161(constB72)))))) | (~v184(constB72)) | (~((~v185(constB72)) | (~v161(constB72))))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31728,plain,
% 7.49/5.73 ((~(v184(constB72) <=> (~((~v185(constB72)) | (~v161(constB72)))))) | (~v184(constB72))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31727, 31726])).
% 7.49/5.73 tff(31729,plain,
% 7.49/5.73 (~v184(constB72)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31728, 31712])).
% 7.49/5.73 tff(31730,plain,
% 7.49/5.73 (((~v183(constB72)) | (~v184(constB72))) | v184(constB72)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31731,plain,
% 7.49/5.73 ((~v183(constB72)) | (~v184(constB72))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31730, 31729])).
% 7.49/5.73 tff(31732,plain,
% 7.49/5.73 ((~(v180(constB72) <=> (~((~v183(constB72)) | (~v184(constB72)))))) | (~v180(constB72)) | (~((~v183(constB72)) | (~v184(constB72))))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31733,plain,
% 7.49/5.73 (~v180(constB72)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31732, 31731, 31710])).
% 7.49/5.73 tff(31734,plain,
% 7.49/5.73 ((~(v182(constB73) <=> v180(constB72))) | (~v182(constB73)) | v180(constB72)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31735,plain,
% 7.49/5.73 (~v182(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31734, 31733, 31708])).
% 7.49/5.73 tff(31736,plain,
% 7.49/5.73 ((~(v159(constB73) <=> v182(constB73))) | (~v159(constB73)) | v182(constB73)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31737,plain,
% 7.49/5.73 (~v159(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31736, 31735, 31704])).
% 7.49/5.73 tff(31738,plain,
% 7.49/5.73 (((~v159(constB73)) | (~v194(constB73))) | v159(constB73)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31739,plain,
% 7.49/5.73 ((~v159(constB73)) | (~v194(constB73))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31738, 31737])).
% 7.49/5.73 tff(31740,plain,
% 7.49/5.73 ((~(v196(constB73) <=> (~((~v159(constB73)) | (~v194(constB73)))))) | (~v196(constB73)) | (~((~v159(constB73)) | (~v194(constB73))))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31741,plain,
% 7.49/5.73 (~v196(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31740, 31739, 31702])).
% 7.49/5.73 tff(31742,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB73) <=> (~((~v157(constB73)) | (~v194(constB73)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB73) <=> (~((~v157(constB73)) | (~v194(constB73))))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31743,plain,
% 7.49/5.73 ((v193(constB73) <=> (~((~v194(constB73)) | (~v157(constB73))))) <=> (v193(constB73) <=> (~((~v157(constB73)) | (~v194(constB73)))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31744,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB73) <=> (~((~v194(constB73)) | (~v157(constB73)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB73) <=> (~((~v157(constB73)) | (~v194(constB73))))))),
% 7.49/5.73 inference(monotonicity,[status(thm)],[31743])).
% 7.49/5.73 tff(31745,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB73) <=> (~((~v194(constB73)) | (~v157(constB73)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB73) <=> (~((~v157(constB73)) | (~v194(constB73))))))),
% 7.49/5.73 inference(transitivity,[status(thm)],[31744, 31742])).
% 7.49/5.73 tff(31746,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB73) <=> (~((~v194(constB73)) | (~v157(constB73)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31747,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB73) <=> (~((~v157(constB73)) | (~v194(constB73)))))),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[31746, 31745])).
% 7.49/5.73 tff(31748,plain,
% 7.49/5.73 (v193(constB73) <=> (~((~v157(constB73)) | (~v194(constB73))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31747, 15442])).
% 7.49/5.73 tff(31749,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB73)) <=> v195(constB73))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31750,plain,
% 7.49/5.73 ((~v194(constB73)) <=> v195(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31749, 15527])).
% 7.49/5.73 tff(31751,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB73) <=> (v185(constB73) | v26(constB73)))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31752,plain,
% 7.49/5.73 (v195(constB73) <=> (v185(constB73) | v26(constB73))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31751, 15536])).
% 7.49/5.73 tff(31753,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB73) <=> (~((~v39(constB73)) | (~v9(constB73)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31754,plain,
% 7.49/5.73 (v185(constB73) <=> (~((~v39(constB73)) | (~v9(constB73))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31753, 93])).
% 7.49/5.73 tff(31755,plain,
% 7.49/5.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73)))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31756,plain,
% 7.49/5.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73)))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31757,plain,
% 7.49/5.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73))),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[31756, 31755])).
% 7.49/5.73 tff(31758,plain,
% 7.49/5.73 (v13(constB74) <=> v9(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31757, 2171, 15550])).
% 7.49/5.73 tff(31759,plain,
% 7.49/5.73 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB74) <=> v13(constB74))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31760,plain,
% 7.49/5.73 (v6(constB74) <=> v13(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31759, 15564])).
% 7.49/5.73 tff(31761,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB74)) <=> v6(constB74))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31762,plain,
% 7.49/5.73 ((~v21(constB74)) <=> v6(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31761, 15573])).
% 7.49/5.73 tff(31763,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB74) <=> (v20(constB74) | v21(constB74)))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31764,plain,
% 7.49/5.73 (v19(constB74) <=> (v20(constB74) | v21(constB74))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31763, 15582])).
% 7.49/5.73 tff(31765,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31766,plain,
% 7.49/5.73 (v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31765, 15594])).
% 7.49/5.73 tff(31767,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB74)) <=> v18(constB74))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31768,plain,
% 7.49/5.73 ((~v4(constB74)) <=> v18(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31767, 15603])).
% 7.49/5.73 tff(31769,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB74)),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31770,plain,
% 7.49/5.73 (v4(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31769, 15612])).
% 7.49/5.73 tff(31771,plain,
% 7.49/5.73 ((~((~v4(constB74)) <=> v18(constB74))) | (~v4(constB74)) | (~v18(constB74))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31772,plain,
% 7.49/5.73 (~v18(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31771, 31770, 31768])).
% 7.49/5.73 tff(31773,plain,
% 7.49/5.73 ((~(v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74)))))) | v18(constB74) | ((~v19(constB74)) | (~v22(constB74)))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31774,plain,
% 7.49/5.73 ((~v19(constB74)) | (~v22(constB74))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31773, 31772, 31766])).
% 7.49/5.73 tff(31775,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB74) <=> (v1(constB74) | v6(constB74)))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31776,plain,
% 7.49/5.73 (v22(constB74) <=> (v1(constB74) | v6(constB74))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31775, 15625])).
% 7.49/5.73 tff(31777,plain,
% 7.49/5.73 ((v1(constB74) | v6(constB74)) | (~v1(constB74))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31778,plain,
% 7.49/5.73 (v1(constB74) | v6(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31777, 10572])).
% 7.49/5.73 tff(31779,plain,
% 7.49/5.73 ((~(v22(constB74) <=> (v1(constB74) | v6(constB74)))) | v22(constB74) | (~(v1(constB74) | v6(constB74)))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31780,plain,
% 7.49/5.73 ((~(v22(constB74) <=> (v1(constB74) | v6(constB74)))) | v22(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31779, 31778])).
% 7.49/5.73 tff(31781,plain,
% 7.49/5.73 (v22(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31780, 31776])).
% 7.49/5.73 tff(31782,plain,
% 7.49/5.73 ((~((~v19(constB74)) | (~v22(constB74)))) | (~v19(constB74)) | (~v22(constB74))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31783,plain,
% 7.49/5.73 ((~((~v19(constB74)) | (~v22(constB74)))) | (~v19(constB74))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31782, 31781])).
% 7.49/5.73 tff(31784,plain,
% 7.49/5.73 (~v19(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31783, 31774])).
% 7.49/5.73 tff(31785,plain,
% 7.49/5.73 ((~(v19(constB74) <=> (v20(constB74) | v21(constB74)))) | v19(constB74) | (~(v20(constB74) | v21(constB74)))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31786,plain,
% 7.49/5.73 (~(v20(constB74) | v21(constB74))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31785, 31784, 31764])).
% 7.49/5.73 tff(31787,plain,
% 7.49/5.73 ((v20(constB74) | v21(constB74)) | (~v21(constB74))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31788,plain,
% 7.49/5.73 (~v21(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31787, 31786])).
% 7.49/5.73 tff(31789,plain,
% 7.49/5.73 ((~((~v21(constB74)) <=> v6(constB74))) | v21(constB74) | v6(constB74)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31790,plain,
% 7.49/5.73 (v6(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31789, 31788, 31762])).
% 7.49/5.73 tff(31791,plain,
% 7.49/5.73 ((~(v6(constB74) <=> v13(constB74))) | (~v6(constB74)) | v13(constB74)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31792,plain,
% 7.49/5.73 (v13(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31791, 31790, 31760])).
% 7.49/5.73 tff(31793,plain,
% 7.49/5.73 ((~(v13(constB74) <=> v9(constB73))) | (~v13(constB74)) | v9(constB73)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31794,plain,
% 7.49/5.73 (v9(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31793, 31792, 31758])).
% 7.49/5.73 tff(31795,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB73)) <=> v1(constB73))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31796,plain,
% 7.49/5.73 ((~v39(constB73)) <=> v1(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31795, 102])).
% 7.49/5.73 tff(31797,plain,
% 7.49/5.73 ((~((~v39(constB73)) <=> v1(constB73))) | v39(constB73) | v1(constB73)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31798,plain,
% 7.49/5.73 ((~((~v39(constB73)) <=> v1(constB73))) | v39(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31797, 2215])).
% 7.49/5.73 tff(31799,plain,
% 7.49/5.73 (v39(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31798, 31796])).
% 7.49/5.73 tff(31800,plain,
% 7.49/5.73 ((~((~v39(constB73)) | (~v9(constB73)))) | (~v39(constB73)) | (~v9(constB73))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31801,plain,
% 7.49/5.73 ((~((~v39(constB73)) | (~v9(constB73)))) | (~v9(constB73))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31800, 31799])).
% 7.49/5.73 tff(31802,plain,
% 7.49/5.73 (~((~v39(constB73)) | (~v9(constB73)))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31801, 31794])).
% 7.49/5.73 tff(31803,plain,
% 7.49/5.73 ((~(v185(constB73) <=> (~((~v39(constB73)) | (~v9(constB73)))))) | v185(constB73) | ((~v39(constB73)) | (~v9(constB73)))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31804,plain,
% 7.49/5.73 (v185(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31803, 31802, 31754])).
% 7.49/5.73 tff(31805,plain,
% 7.49/5.73 ((v185(constB73) | v26(constB73)) | (~v185(constB73))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31806,plain,
% 7.49/5.73 (v185(constB73) | v26(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31805, 31804])).
% 7.49/5.73 tff(31807,plain,
% 7.49/5.73 ((~(v195(constB73) <=> (v185(constB73) | v26(constB73)))) | v195(constB73) | (~(v185(constB73) | v26(constB73)))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31808,plain,
% 7.49/5.73 (v195(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31807, 31806, 31752])).
% 7.49/5.73 tff(31809,plain,
% 7.49/5.73 ((~((~v194(constB73)) <=> v195(constB73))) | (~v194(constB73)) | (~v195(constB73))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31810,plain,
% 7.49/5.73 (~v194(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31809, 31808, 31750])).
% 7.49/5.73 tff(31811,plain,
% 7.49/5.73 (((~v157(constB73)) | (~v194(constB73))) | v194(constB73)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31812,plain,
% 7.49/5.73 ((~v157(constB73)) | (~v194(constB73))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31811, 31810])).
% 7.49/5.73 tff(31813,plain,
% 7.49/5.73 ((~(v193(constB73) <=> (~((~v157(constB73)) | (~v194(constB73)))))) | (~v193(constB73)) | (~((~v157(constB73)) | (~v194(constB73))))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31814,plain,
% 7.49/5.73 (~v193(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31813, 31812, 31748])).
% 7.49/5.73 tff(31815,plain,
% 7.49/5.73 ((~(v193(constB73) | v196(constB73))) | v193(constB73) | v196(constB73)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31816,plain,
% 7.49/5.73 (~(v193(constB73) | v196(constB73))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31815, 31814, 31741])).
% 7.49/5.73 tff(31817,plain,
% 7.49/5.73 ((~(v190(constB73) <=> (v193(constB73) | v196(constB73)))) | (~v190(constB73)) | (v193(constB73) | v196(constB73))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31818,plain,
% 7.49/5.73 (~v190(constB73)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31817, 31816, 31695])).
% 7.49/5.73 tff(31819,plain,
% 7.49/5.73 ((~(v192(constB74) <=> v190(constB73))) | (~v192(constB74)) | v190(constB73)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31820,plain,
% 7.49/5.73 (~v192(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31819, 31818, 31693])).
% 7.49/5.73 tff(31821,plain,
% 7.49/5.73 ((~(v157(constB74) <=> v192(constB74))) | (~v157(constB74)) | v192(constB74)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31822,plain,
% 7.49/5.73 (~v157(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31821, 31820, 31689])).
% 7.49/5.73 tff(31823,plain,
% 7.49/5.73 (((~v157(constB74)) | (~v194(constB74))) | v157(constB74)),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31824,plain,
% 7.49/5.73 ((~v157(constB74)) | (~v194(constB74))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31823, 31822])).
% 7.49/5.73 tff(31825,plain,
% 7.49/5.73 ((~(v193(constB74) <=> (~((~v157(constB74)) | (~v194(constB74)))))) | (~v193(constB74)) | (~((~v157(constB74)) | (~v194(constB74))))),
% 7.49/5.73 inference(tautology,[status(thm)],[])).
% 7.49/5.73 tff(31826,plain,
% 7.49/5.73 (~v193(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31825, 31824, 31687])).
% 7.49/5.73 tff(31827,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB74) <=> (~((~v159(constB74)) | (~v194(constB74)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB74) <=> (~((~v159(constB74)) | (~v194(constB74))))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31828,plain,
% 7.49/5.73 ((v196(constB74) <=> (~((~v194(constB74)) | (~v159(constB74))))) <=> (v196(constB74) <=> (~((~v159(constB74)) | (~v194(constB74)))))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31829,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB74) <=> (~((~v194(constB74)) | (~v159(constB74)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB74) <=> (~((~v159(constB74)) | (~v194(constB74))))))),
% 7.49/5.73 inference(monotonicity,[status(thm)],[31828])).
% 7.49/5.73 tff(31830,plain,
% 7.49/5.73 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB74) <=> (~((~v194(constB74)) | (~v159(constB74)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB74) <=> (~((~v159(constB74)) | (~v194(constB74))))))),
% 7.49/5.73 inference(transitivity,[status(thm)],[31829, 31827])).
% 7.49/5.73 tff(31831,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB74) <=> (~((~v194(constB74)) | (~v159(constB74)))))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31832,plain,
% 7.49/5.73 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB74) <=> (~((~v159(constB74)) | (~v194(constB74)))))),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[31831, 31830])).
% 7.49/5.73 tff(31833,plain,
% 7.49/5.73 (v196(constB74) <=> (~((~v159(constB74)) | (~v194(constB74))))),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31832, 15467])).
% 7.49/5.73 tff(31834,plain,
% 7.49/5.73 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB74) <=> v182(constB74))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31835,plain,
% 7.49/5.73 (v159(constB74) <=> v182(constB74)),
% 7.49/5.73 inference(unit_resolution,[status(thm)],[31834, 15113])).
% 7.49/5.73 tff(31836,plain,
% 7.49/5.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB73, constB74)) | (v182(constB74) <=> v180(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB73, constB74)) | (v182(constB74) <=> v180(constB73)))),
% 7.49/5.73 inference(rewrite,[status(thm)],[])).
% 7.49/5.73 tff(31837,plain,
% 7.49/5.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB73, constB74)) | (v182(constB74) <=> v180(constB73)))),
% 7.49/5.73 inference(quant_inst,[status(thm)],[])).
% 7.49/5.73 tff(31838,plain,
% 7.49/5.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB73, constB74)) | (v182(constB74) <=> v180(constB73))),
% 7.49/5.73 inference(modus_ponens,[status(thm)],[31837, 31836])).
% 7.49/5.73 tff(31839,plain,
% 7.49/5.73 (v182(constB74) <=> v180(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31838, 2171, 15125])).
% 7.49/5.74 tff(31840,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB73) <=> (~((~v183(constB73)) | (~v184(constB73)))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31841,plain,
% 7.49/5.74 (v180(constB73) <=> (~((~v183(constB73)) | (~v184(constB73))))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31840, 15139])).
% 7.49/5.74 tff(31842,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB73) <=> (~((~v185(constB73)) | (~v161(constB73)))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31843,plain,
% 7.49/5.74 (v184(constB73) <=> (~((~v185(constB73)) | (~v161(constB73))))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31842, 15151])).
% 7.49/5.74 tff(31844,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB73) <=> v163(constB73))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31845,plain,
% 7.49/5.74 (v161(constB73) <=> v163(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31844, 15701])).
% 7.49/5.74 tff(31846,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB73) <=> (v145(constB73) | v167(constB73)))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31847,plain,
% 7.49/5.74 (v166(constB73) <=> (v145(constB73) | v167(constB73))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31846, 15713])).
% 7.49/5.74 tff(31848,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB73) <=> (v146(constB73) | v147(constB73)))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31849,plain,
% 7.49/5.74 (v145(constB73) <=> (v146(constB73) | v147(constB73))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31848, 25196])).
% 7.49/5.74 tff(31850,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB73) <=> (~(v88(constB73, 1) | (~v88(constB73, 2)) | v88(constB73, 0))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB73) <=> (~(v88(constB73, 1) | (~v88(constB73, 2)) | v88(constB73, 0)))))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(31851,plain,
% 7.49/5.74 ((v146(constB73) <=> (~(v88(constB73, 0) | v88(constB73, 1) | (~v88(constB73, 2))))) <=> (v146(constB73) <=> (~(v88(constB73, 1) | (~v88(constB73, 2)) | v88(constB73, 0))))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(31852,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB73) <=> (~(v88(constB73, 0) | v88(constB73, 1) | (~v88(constB73, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB73) <=> (~(v88(constB73, 1) | (~v88(constB73, 2)) | v88(constB73, 0)))))),
% 7.49/5.74 inference(monotonicity,[status(thm)],[31851])).
% 7.49/5.74 tff(31853,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB73) <=> (~(v88(constB73, 0) | v88(constB73, 1) | (~v88(constB73, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB73) <=> (~(v88(constB73, 1) | (~v88(constB73, 2)) | v88(constB73, 0)))))),
% 7.49/5.74 inference(transitivity,[status(thm)],[31852, 31850])).
% 7.49/5.74 tff(31854,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB73) <=> (~(v88(constB73, 0) | v88(constB73, 1) | (~v88(constB73, 2)))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31855,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB73) <=> (~(v88(constB73, 1) | (~v88(constB73, 2)) | v88(constB73, 0))))),
% 7.49/5.74 inference(modus_ponens,[status(thm)],[31854, 31853])).
% 7.49/5.74 tff(31856,plain,
% 7.49/5.74 (v146(constB73) <=> (~(v88(constB73, 1) | (~v88(constB73, 2)) | v88(constB73, 0)))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31855, 25211])).
% 7.49/5.74 tff(31857,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB73, 1)) <=> v90(constB73, 1)) | ((~v88(constB73, 2)) <=> v90(constB73, 2)) | ((~v88(constB73, 0)) <=> v90(constB73, 0))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31858,plain,
% 7.49/5.74 (~(((~v88(constB73, 1)) <=> v90(constB73, 1)) | ((~v88(constB73, 2)) <=> v90(constB73, 2)) | ((~v88(constB73, 0)) <=> v90(constB73, 0)))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31857, 256])).
% 7.49/5.74 tff(31859,plain,
% 7.49/5.74 ((((~v88(constB73, 1)) <=> v90(constB73, 1)) | ((~v88(constB73, 2)) <=> v90(constB73, 2)) | ((~v88(constB73, 0)) <=> v90(constB73, 0))) | (~((~v88(constB73, 2)) <=> v90(constB73, 2)))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31860,plain,
% 7.49/5.74 (~((~v88(constB73, 2)) <=> v90(constB73, 2))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31859, 31858])).
% 7.49/5.74 tff(31861,plain,
% 7.49/5.74 (((~v88(constB73, 2)) <=> v90(constB73, 2)) | v88(constB73, 2) | (~v90(constB73, 2))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31862,plain,
% 7.49/5.74 (v88(constB73, 2)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31861, 10494, 31860])).
% 7.49/5.74 tff(31863,plain,
% 7.49/5.74 ((((~v88(constB73, 1)) <=> v90(constB73, 1)) | ((~v88(constB73, 2)) <=> v90(constB73, 2)) | ((~v88(constB73, 0)) <=> v90(constB73, 0))) | (~((~v88(constB73, 0)) <=> v90(constB73, 0)))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31864,plain,
% 7.49/5.74 (~((~v88(constB73, 0)) <=> v90(constB73, 0))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31863, 31858])).
% 7.49/5.74 tff(31865,plain,
% 7.49/5.74 (((~v88(constB73, 0)) <=> v90(constB73, 0)) | (~v88(constB73, 0)) | v90(constB73, 0)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31866,plain,
% 7.49/5.74 (~v88(constB73, 0)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31865, 10512, 31864])).
% 7.49/5.74 tff(31867,plain,
% 7.49/5.74 ((((~v88(constB73, 1)) <=> v90(constB73, 1)) | ((~v88(constB73, 2)) <=> v90(constB73, 2)) | ((~v88(constB73, 0)) <=> v90(constB73, 0))) | (~((~v88(constB73, 1)) <=> v90(constB73, 1)))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31868,plain,
% 7.49/5.74 (~((~v88(constB73, 1)) <=> v90(constB73, 1))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31867, 31858])).
% 7.49/5.74 tff(31869,plain,
% 7.49/5.74 (((~v88(constB73, 1)) <=> v90(constB73, 1)) | (~v88(constB73, 1)) | v90(constB73, 1)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31870,plain,
% 7.49/5.74 (~v88(constB73, 1)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31869, 10530, 31868])).
% 7.49/5.74 tff(31871,plain,
% 7.49/5.74 ((~(v88(constB73, 1) | (~v88(constB73, 2)) | v88(constB73, 0))) | v88(constB73, 1) | (~v88(constB73, 2)) | v88(constB73, 0)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31872,plain,
% 7.49/5.74 (~(v88(constB73, 1) | (~v88(constB73, 2)) | v88(constB73, 0))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31871, 31870, 31866, 31862])).
% 7.49/5.74 tff(31873,plain,
% 7.49/5.74 ((~(v146(constB73) <=> (~(v88(constB73, 1) | (~v88(constB73, 2)) | v88(constB73, 0))))) | v146(constB73) | (v88(constB73, 1) | (~v88(constB73, 2)) | v88(constB73, 0))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31874,plain,
% 7.49/5.74 (v146(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31873, 31872, 31856])).
% 7.49/5.74 tff(31875,plain,
% 7.49/5.74 ((v146(constB73) | v147(constB73)) | (~v146(constB73))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31876,plain,
% 7.49/5.74 (v146(constB73) | v147(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31875, 31874])).
% 7.49/5.74 tff(31877,plain,
% 7.49/5.74 ((~(v145(constB73) <=> (v146(constB73) | v147(constB73)))) | v145(constB73) | (~(v146(constB73) | v147(constB73)))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31878,plain,
% 7.49/5.74 (v145(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31877, 31876, 31849])).
% 7.49/5.74 tff(31879,plain,
% 7.49/5.74 ((v145(constB73) | v167(constB73)) | (~v145(constB73))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31880,plain,
% 7.49/5.74 (v145(constB73) | v167(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31879, 31878])).
% 7.49/5.74 tff(31881,plain,
% 7.49/5.74 ((~(v166(constB73) <=> (v145(constB73) | v167(constB73)))) | v166(constB73) | (~(v145(constB73) | v167(constB73)))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31882,plain,
% 7.49/5.74 ((~(v166(constB73) <=> (v145(constB73) | v167(constB73)))) | v166(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31881, 31880])).
% 7.49/5.74 tff(31883,plain,
% 7.49/5.74 (v166(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31882, 31847])).
% 7.49/5.74 tff(31884,plain,
% 7.49/5.74 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB73)) | (v163(constB73) <=> v170(constB73)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB73)) | (v163(constB73) <=> v170(constB73)))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(31885,plain,
% 7.49/5.74 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB73)) | (v163(constB73) <=> v170(constB73)))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31886,plain,
% 7.49/5.74 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB73)) | (v163(constB73) <=> v170(constB73))),
% 7.49/5.74 inference(modus_ponens,[status(thm)],[31885, 31884])).
% 7.49/5.74 tff(31887,plain,
% 7.49/5.74 ((~v166(constB73)) | (v163(constB73) <=> v170(constB73))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31886, 15777])).
% 7.49/5.74 tff(31888,plain,
% 7.49/5.74 (v163(constB73) <=> v170(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31887, 31883])).
% 7.49/5.74 tff(31889,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB73) <=> (~(v88(constB73, 0) | v88(constB73, 1) | v88(constB73, 2))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31890,plain,
% 7.49/5.74 (v139(constB73) <=> (~(v88(constB73, 0) | v88(constB73, 1) | v88(constB73, 2)))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31889, 15795])).
% 7.49/5.74 tff(31891,plain,
% 7.49/5.74 ((v88(constB73, 0) | v88(constB73, 1) | v88(constB73, 2)) | (~v88(constB73, 2))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31892,plain,
% 7.49/5.74 (v88(constB73, 0) | v88(constB73, 1) | v88(constB73, 2)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31891, 31862])).
% 7.49/5.74 tff(31893,plain,
% 7.49/5.74 ((~(v139(constB73) <=> (~(v88(constB73, 0) | v88(constB73, 1) | v88(constB73, 2))))) | (~v139(constB73)) | (~(v88(constB73, 0) | v88(constB73, 1) | v88(constB73, 2)))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31894,plain,
% 7.49/5.74 (~v139(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31893, 31892, 31890])).
% 7.49/5.74 tff(31895,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB73) <=> (~(v88(constB73, 1) | v88(constB73, 2) | (~v88(constB73, 0)))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31896,plain,
% 7.49/5.74 (v140(constB73) <=> (~(v88(constB73, 1) | v88(constB73, 2) | (~v88(constB73, 0))))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31895, 15814])).
% 7.49/5.74 tff(31897,plain,
% 7.49/5.74 ((v88(constB73, 1) | v88(constB73, 2) | (~v88(constB73, 0))) | (~v88(constB73, 2))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31898,plain,
% 7.49/5.74 (v88(constB73, 1) | v88(constB73, 2) | (~v88(constB73, 0))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31897, 31862])).
% 7.49/5.74 tff(31899,plain,
% 7.49/5.74 ((~(v140(constB73) <=> (~(v88(constB73, 1) | v88(constB73, 2) | (~v88(constB73, 0)))))) | (~v140(constB73)) | (~(v88(constB73, 1) | v88(constB73, 2) | (~v88(constB73, 0))))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31900,plain,
% 7.49/5.74 (~v140(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31899, 31898, 31896])).
% 7.49/5.74 tff(31901,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB73) | v139(constB73) | (~v170(constB73)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB73) | v139(constB73) | (~v170(constB73)))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(31902,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB73) | v139(constB73) | (~v170(constB73)))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31903,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB73) | v139(constB73) | (~v170(constB73))),
% 7.49/5.74 inference(modus_ponens,[status(thm)],[31902, 31901])).
% 7.49/5.74 tff(31904,plain,
% 7.49/5.74 (v140(constB73) | v139(constB73) | (~v170(constB73))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31903, 15833])).
% 7.49/5.74 tff(31905,plain,
% 7.49/5.74 (~v170(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31904, 31900, 31894])).
% 7.49/5.74 tff(31906,plain,
% 7.49/5.74 ((~(v163(constB73) <=> v170(constB73))) | (~v163(constB73)) | v170(constB73)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31907,plain,
% 7.49/5.74 ((~(v163(constB73) <=> v170(constB73))) | (~v163(constB73))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31906, 31905])).
% 7.49/5.74 tff(31908,plain,
% 7.49/5.74 (~v163(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31907, 31888])).
% 7.49/5.74 tff(31909,plain,
% 7.49/5.74 ((~(v161(constB73) <=> v163(constB73))) | (~v161(constB73)) | v163(constB73)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31910,plain,
% 7.49/5.74 ((~(v161(constB73) <=> v163(constB73))) | (~v161(constB73))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31909, 31908])).
% 7.49/5.74 tff(31911,plain,
% 7.49/5.74 (~v161(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31910, 31845])).
% 7.49/5.74 tff(31912,plain,
% 7.49/5.74 (((~v185(constB73)) | (~v161(constB73))) | v161(constB73)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31913,plain,
% 7.49/5.74 ((~v185(constB73)) | (~v161(constB73))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31912, 31911])).
% 7.49/5.74 tff(31914,plain,
% 7.49/5.74 ((~(v184(constB73) <=> (~((~v185(constB73)) | (~v161(constB73)))))) | (~v184(constB73)) | (~((~v185(constB73)) | (~v161(constB73))))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31915,plain,
% 7.49/5.74 (~v184(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31914, 31913, 31843])).
% 7.49/5.74 tff(31916,plain,
% 7.49/5.74 (((~v183(constB73)) | (~v184(constB73))) | v184(constB73)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31917,plain,
% 7.49/5.74 ((~v183(constB73)) | (~v184(constB73))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31916, 31915])).
% 7.49/5.74 tff(31918,plain,
% 7.49/5.74 ((~(v180(constB73) <=> (~((~v183(constB73)) | (~v184(constB73)))))) | (~v180(constB73)) | (~((~v183(constB73)) | (~v184(constB73))))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31919,plain,
% 7.49/5.74 (~v180(constB73)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31918, 31917, 31841])).
% 7.49/5.74 tff(31920,plain,
% 7.49/5.74 ((~(v182(constB74) <=> v180(constB73))) | (~v182(constB74)) | v180(constB73)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31921,plain,
% 7.49/5.74 (~v182(constB74)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31920, 31919, 31839])).
% 7.49/5.74 tff(31922,plain,
% 7.49/5.74 ((~(v159(constB74) <=> v182(constB74))) | (~v159(constB74)) | v182(constB74)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31923,plain,
% 7.49/5.74 (~v159(constB74)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31922, 31921, 31835])).
% 7.49/5.74 tff(31924,plain,
% 7.49/5.74 (((~v159(constB74)) | (~v194(constB74))) | v159(constB74)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31925,plain,
% 7.49/5.74 ((~v159(constB74)) | (~v194(constB74))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31924, 31923])).
% 7.49/5.74 tff(31926,plain,
% 7.49/5.74 ((~(v196(constB74) <=> (~((~v159(constB74)) | (~v194(constB74)))))) | (~v196(constB74)) | (~((~v159(constB74)) | (~v194(constB74))))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31927,plain,
% 7.49/5.74 (~v196(constB74)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31926, 31925, 31833])).
% 7.49/5.74 tff(31928,plain,
% 7.49/5.74 ((~(v193(constB74) | v196(constB74))) | v193(constB74) | v196(constB74)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31929,plain,
% 7.49/5.74 (~(v193(constB74) | v196(constB74))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31928, 31927, 31826])).
% 7.49/5.74 tff(31930,plain,
% 7.49/5.74 ((~(v190(constB74) <=> (v193(constB74) | v196(constB74)))) | (~v190(constB74)) | (v193(constB74) | v196(constB74))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31931,plain,
% 7.49/5.74 (~v190(constB74)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31930, 31929, 31680])).
% 7.49/5.74 tff(31932,plain,
% 7.49/5.74 ((~(v192(constB75) <=> v190(constB74))) | (~v192(constB75)) | v190(constB74)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31933,plain,
% 7.49/5.74 (~v192(constB75)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31932, 31931, 31678])).
% 7.49/5.74 tff(31934,plain,
% 7.49/5.74 ((~(v157(constB75) <=> v192(constB75))) | (~v157(constB75)) | v192(constB75)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31935,plain,
% 7.49/5.74 (~v157(constB75)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31934, 31933, 31674])).
% 7.49/5.74 tff(31936,plain,
% 7.49/5.74 (((~v157(constB75)) | (~v202(constB75))) | v157(constB75)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31937,plain,
% 7.49/5.74 ((~v157(constB75)) | (~v202(constB75))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31936, 31935])).
% 7.49/5.74 tff(31938,plain,
% 7.49/5.74 ((~(v201(constB75) <=> (~((~v157(constB75)) | (~v202(constB75)))))) | (~v201(constB75)) | (~((~v157(constB75)) | (~v202(constB75))))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31939,plain,
% 7.49/5.74 (~v201(constB75)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31938, 31937, 31672])).
% 7.49/5.74 tff(31940,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB75) <=> (~((~v159(constB75)) | (~v202(constB75)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB75) <=> (~((~v159(constB75)) | (~v202(constB75))))))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(31941,plain,
% 7.49/5.74 ((v205(constB75) <=> (~((~v202(constB75)) | (~v159(constB75))))) <=> (v205(constB75) <=> (~((~v159(constB75)) | (~v202(constB75)))))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(31942,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB75) <=> (~((~v202(constB75)) | (~v159(constB75)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB75) <=> (~((~v159(constB75)) | (~v202(constB75))))))),
% 7.49/5.74 inference(monotonicity,[status(thm)],[31941])).
% 7.49/5.74 tff(31943,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB75) <=> (~((~v202(constB75)) | (~v159(constB75)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB75) <=> (~((~v159(constB75)) | (~v202(constB75))))))),
% 7.49/5.74 inference(transitivity,[status(thm)],[31942, 31940])).
% 7.49/5.74 tff(31944,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB75) <=> (~((~v202(constB75)) | (~v159(constB75)))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31945,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB75) <=> (~((~v159(constB75)) | (~v202(constB75)))))),
% 7.49/5.74 inference(modus_ponens,[status(thm)],[31944, 31943])).
% 7.49/5.74 tff(31946,plain,
% 7.49/5.74 (v205(constB75) <=> (~((~v159(constB75)) | (~v202(constB75))))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31945, 138])).
% 7.49/5.74 tff(31947,plain,
% 7.49/5.74 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB75) <=> v182(constB75))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31948,plain,
% 7.49/5.74 (v159(constB75) <=> v182(constB75)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31947, 15113])).
% 7.49/5.74 tff(31949,plain,
% 7.49/5.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB74, constB75)) | (v182(constB75) <=> v180(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB74, constB75)) | (v182(constB75) <=> v180(constB74)))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(31950,plain,
% 7.49/5.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB74, constB75)) | (v182(constB75) <=> v180(constB74)))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31951,plain,
% 7.49/5.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB74, constB75)) | (v182(constB75) <=> v180(constB74))),
% 7.49/5.74 inference(modus_ponens,[status(thm)],[31950, 31949])).
% 7.49/5.74 tff(31952,plain,
% 7.49/5.74 (v182(constB75) <=> v180(constB74)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31951, 2135, 15125])).
% 7.49/5.74 tff(31953,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB74) <=> (~((~v183(constB74)) | (~v184(constB74)))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31954,plain,
% 7.49/5.74 (v180(constB74) <=> (~((~v183(constB74)) | (~v184(constB74))))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31953, 15139])).
% 7.49/5.74 tff(31955,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB74) <=> (~((~v185(constB74)) | (~v161(constB74)))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31956,plain,
% 7.49/5.74 (v184(constB74) <=> (~((~v185(constB74)) | (~v161(constB74))))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31955, 15151])).
% 7.49/5.74 tff(31957,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31958,plain,
% 7.49/5.74 (v185(constB74) <=> (~((~v39(constB74)) | (~v9(constB74))))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31957, 93])).
% 7.49/5.74 tff(31959,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB74)) <=> v1(constB74))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31960,plain,
% 7.49/5.74 ((~v39(constB74)) <=> v1(constB74)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31959, 102])).
% 7.49/5.74 tff(31961,plain,
% 7.49/5.74 ((~((~v39(constB74)) <=> v1(constB74))) | (~v39(constB74)) | (~v1(constB74))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31962,plain,
% 7.49/5.74 ((~((~v39(constB74)) <=> v1(constB74))) | (~v39(constB74))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31961, 10572])).
% 7.49/5.74 tff(31963,plain,
% 7.49/5.74 (~v39(constB74)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31962, 31960])).
% 7.49/5.74 tff(31964,plain,
% 7.49/5.74 (((~v39(constB74)) | (~v9(constB74))) | v39(constB74)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31965,plain,
% 7.49/5.74 ((~v39(constB74)) | (~v9(constB74))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31964, 31963])).
% 7.49/5.74 tff(31966,plain,
% 7.49/5.74 ((~(v185(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))) | (~v185(constB74)) | (~((~v39(constB74)) | (~v9(constB74))))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31967,plain,
% 7.49/5.74 ((~(v185(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))) | (~v185(constB74))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31966, 31965])).
% 7.49/5.74 tff(31968,plain,
% 7.49/5.74 (~v185(constB74)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31967, 31958])).
% 7.49/5.74 tff(31969,plain,
% 7.49/5.74 (((~v185(constB74)) | (~v161(constB74))) | v185(constB74)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31970,plain,
% 7.49/5.74 ((~v185(constB74)) | (~v161(constB74))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31969, 31968])).
% 7.49/5.74 tff(31971,plain,
% 7.49/5.74 ((~(v184(constB74) <=> (~((~v185(constB74)) | (~v161(constB74)))))) | (~v184(constB74)) | (~((~v185(constB74)) | (~v161(constB74))))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31972,plain,
% 7.49/5.74 ((~(v184(constB74) <=> (~((~v185(constB74)) | (~v161(constB74)))))) | (~v184(constB74))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31971, 31970])).
% 7.49/5.74 tff(31973,plain,
% 7.49/5.74 (~v184(constB74)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31972, 31956])).
% 7.49/5.74 tff(31974,plain,
% 7.49/5.74 (((~v183(constB74)) | (~v184(constB74))) | v184(constB74)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31975,plain,
% 7.49/5.74 ((~v183(constB74)) | (~v184(constB74))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31974, 31973])).
% 7.49/5.74 tff(31976,plain,
% 7.49/5.74 ((~(v180(constB74) <=> (~((~v183(constB74)) | (~v184(constB74)))))) | (~v180(constB74)) | (~((~v183(constB74)) | (~v184(constB74))))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31977,plain,
% 7.49/5.74 (~v180(constB74)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31976, 31975, 31954])).
% 7.49/5.74 tff(31978,plain,
% 7.49/5.74 ((~(v182(constB75) <=> v180(constB74))) | (~v182(constB75)) | v180(constB74)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31979,plain,
% 7.49/5.74 (~v182(constB75)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31978, 31977, 31952])).
% 7.49/5.74 tff(31980,plain,
% 7.49/5.74 ((~(v159(constB75) <=> v182(constB75))) | (~v159(constB75)) | v182(constB75)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31981,plain,
% 7.49/5.74 (~v159(constB75)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31980, 31979, 31948])).
% 7.49/5.74 tff(31982,plain,
% 7.49/5.74 (((~v159(constB75)) | (~v202(constB75))) | v159(constB75)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31983,plain,
% 7.49/5.74 ((~v159(constB75)) | (~v202(constB75))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31982, 31981])).
% 7.49/5.74 tff(31984,plain,
% 7.49/5.74 ((~(v205(constB75) <=> (~((~v159(constB75)) | (~v202(constB75)))))) | (~v205(constB75)) | (~((~v159(constB75)) | (~v202(constB75))))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31985,plain,
% 7.49/5.74 (~v205(constB75)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31984, 31983, 31946])).
% 7.49/5.74 tff(31986,plain,
% 7.49/5.74 ((~(v201(constB75) | v205(constB75))) | v201(constB75) | v205(constB75)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31987,plain,
% 7.49/5.74 ((~(v201(constB75) | v205(constB75))) | v201(constB75)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31986, 31985])).
% 7.49/5.74 tff(31988,plain,
% 7.49/5.74 (~(v201(constB75) | v205(constB75))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31987, 31939])).
% 7.49/5.74 tff(31989,plain,
% 7.49/5.74 ((~(v200(constB75) <=> (v201(constB75) | v205(constB75)))) | (~v200(constB75)) | (v201(constB75) | v205(constB75))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(31990,plain,
% 7.49/5.74 (~v200(constB75)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31989, 31988, 31665])).
% 7.49/5.74 tff(31991,plain,
% 7.49/5.74 ($false),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31990, 31663])).
% 7.49/5.74 tff(31992,plain,(~(constB75 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.74 tff(31993,assumption,(constB4 = VarCurr!0), introduced(assumption)).
% 7.49/5.74 tff(31994,plain,
% 7.49/5.74 (v200(constB4) <=> v200(VarCurr!0)),
% 7.49/5.74 inference(monotonicity,[status(thm)],[31993])).
% 7.49/5.74 tff(31995,plain,
% 7.49/5.74 (v200(VarCurr!0) <=> v200(constB4)),
% 7.49/5.74 inference(symmetry,[status(thm)],[31994])).
% 7.49/5.74 tff(31996,plain,
% 7.49/5.74 (v200(constB4)),
% 7.49/5.74 inference(modus_ponens,[status(thm)],[27, 31995])).
% 7.49/5.74 tff(31997,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB4) <=> (v201(constB4) | v205(constB4)))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(31998,plain,
% 7.49/5.74 (v200(constB4) <=> (v201(constB4) | v205(constB4))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[31997, 35])).
% 7.49/5.74 tff(31999,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB4) <=> (~((~v157(constB4)) | (~v202(constB4)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB4) <=> (~((~v157(constB4)) | (~v202(constB4))))))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(32000,plain,
% 7.49/5.74 ((v201(constB4) <=> (~((~v202(constB4)) | (~v157(constB4))))) <=> (v201(constB4) <=> (~((~v157(constB4)) | (~v202(constB4)))))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(32001,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB4) <=> (~((~v202(constB4)) | (~v157(constB4)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB4) <=> (~((~v157(constB4)) | (~v202(constB4))))))),
% 7.49/5.74 inference(monotonicity,[status(thm)],[32000])).
% 7.49/5.74 tff(32002,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB4) <=> (~((~v202(constB4)) | (~v157(constB4)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB4) <=> (~((~v157(constB4)) | (~v202(constB4))))))),
% 7.49/5.74 inference(transitivity,[status(thm)],[32001, 31999])).
% 7.49/5.74 tff(32003,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB4) <=> (~((~v202(constB4)) | (~v157(constB4)))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(32004,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB4) <=> (~((~v157(constB4)) | (~v202(constB4)))))),
% 7.49/5.74 inference(modus_ponens,[status(thm)],[32003, 32002])).
% 7.49/5.74 tff(32005,plain,
% 7.49/5.74 (v201(constB4) <=> (~((~v157(constB4)) | (~v202(constB4))))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32004, 47])).
% 7.49/5.74 tff(32006,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB4) <=> (~((~v183(constB4)) | (~v203(constB4)))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(32007,plain,
% 7.49/5.74 (v202(constB4) <=> (~((~v183(constB4)) | (~v203(constB4))))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32006, 64])).
% 7.49/5.74 tff(32008,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB4) <=> (~((~v185(constB4)) | (~v204(constB4)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB4) <=> (~((~v185(constB4)) | (~v204(constB4))))))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(32009,plain,
% 7.49/5.74 ((v203(constB4) <=> (~((~v204(constB4)) | (~v185(constB4))))) <=> (v203(constB4) <=> (~((~v185(constB4)) | (~v204(constB4)))))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(32010,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB4) <=> (~((~v204(constB4)) | (~v185(constB4)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB4) <=> (~((~v185(constB4)) | (~v204(constB4))))))),
% 7.49/5.74 inference(monotonicity,[status(thm)],[32009])).
% 7.49/5.74 tff(32011,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB4) <=> (~((~v204(constB4)) | (~v185(constB4)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB4) <=> (~((~v185(constB4)) | (~v204(constB4))))))),
% 7.49/5.74 inference(transitivity,[status(thm)],[32010, 32008])).
% 7.49/5.74 tff(32012,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB4) <=> (~((~v204(constB4)) | (~v185(constB4)))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(32013,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB4) <=> (~((~v185(constB4)) | (~v204(constB4)))))),
% 7.49/5.74 inference(modus_ponens,[status(thm)],[32012, 32011])).
% 7.49/5.74 tff(32014,plain,
% 7.49/5.74 (v203(constB4) <=> (~((~v185(constB4)) | (~v204(constB4))))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32013, 76])).
% 7.49/5.74 tff(32015,plain,
% 7.49/5.74 (((~v185(constB4)) | (~v204(constB4))) | v185(constB4)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(32016,plain,
% 7.49/5.74 ((~v185(constB4)) | (~v204(constB4))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32015, 29438])).
% 7.49/5.74 tff(32017,plain,
% 7.49/5.74 ((~(v203(constB4) <=> (~((~v185(constB4)) | (~v204(constB4)))))) | (~v203(constB4)) | (~((~v185(constB4)) | (~v204(constB4))))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(32018,plain,
% 7.49/5.74 ((~(v203(constB4) <=> (~((~v185(constB4)) | (~v204(constB4)))))) | (~v203(constB4))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32017, 32016])).
% 7.49/5.74 tff(32019,plain,
% 7.49/5.74 (~v203(constB4)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32018, 32014])).
% 7.49/5.74 tff(32020,plain,
% 7.49/5.74 (((~v183(constB4)) | (~v203(constB4))) | v203(constB4)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(32021,plain,
% 7.49/5.74 ((~v183(constB4)) | (~v203(constB4))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32020, 32019])).
% 7.49/5.74 tff(32022,plain,
% 7.49/5.74 ((~(v202(constB4) <=> (~((~v183(constB4)) | (~v203(constB4)))))) | (~v202(constB4)) | (~((~v183(constB4)) | (~v203(constB4))))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(32023,plain,
% 7.49/5.74 (~v202(constB4)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32022, 32021, 32007])).
% 7.49/5.74 tff(32024,plain,
% 7.49/5.74 (((~v157(constB4)) | (~v202(constB4))) | v202(constB4)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(32025,plain,
% 7.49/5.74 ((~v157(constB4)) | (~v202(constB4))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32024, 32023])).
% 7.49/5.74 tff(32026,plain,
% 7.49/5.74 ((~(v201(constB4) <=> (~((~v157(constB4)) | (~v202(constB4)))))) | (~v201(constB4)) | (~((~v157(constB4)) | (~v202(constB4))))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(32027,plain,
% 7.49/5.74 (~v201(constB4)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32026, 32025, 32005])).
% 7.49/5.74 tff(32028,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB4) <=> (~((~v159(constB4)) | (~v202(constB4)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB4) <=> (~((~v159(constB4)) | (~v202(constB4))))))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(32029,plain,
% 7.49/5.74 ((v205(constB4) <=> (~((~v202(constB4)) | (~v159(constB4))))) <=> (v205(constB4) <=> (~((~v159(constB4)) | (~v202(constB4)))))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(32030,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB4) <=> (~((~v202(constB4)) | (~v159(constB4)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB4) <=> (~((~v159(constB4)) | (~v202(constB4))))))),
% 7.49/5.74 inference(monotonicity,[status(thm)],[32029])).
% 7.49/5.74 tff(32031,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB4) <=> (~((~v202(constB4)) | (~v159(constB4)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB4) <=> (~((~v159(constB4)) | (~v202(constB4))))))),
% 7.49/5.74 inference(transitivity,[status(thm)],[32030, 32028])).
% 7.49/5.74 tff(32032,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB4) <=> (~((~v202(constB4)) | (~v159(constB4)))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(32033,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB4) <=> (~((~v159(constB4)) | (~v202(constB4)))))),
% 7.49/5.74 inference(modus_ponens,[status(thm)],[32032, 32031])).
% 7.49/5.74 tff(32034,plain,
% 7.49/5.74 (v205(constB4) <=> (~((~v159(constB4)) | (~v202(constB4))))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32033, 138])).
% 7.49/5.74 tff(32035,plain,
% 7.49/5.74 (((~v159(constB4)) | (~v202(constB4))) | v202(constB4)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(32036,plain,
% 7.49/5.74 ((~v159(constB4)) | (~v202(constB4))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32035, 32023])).
% 7.49/5.74 tff(32037,plain,
% 7.49/5.74 ((~(v205(constB4) <=> (~((~v159(constB4)) | (~v202(constB4)))))) | (~v205(constB4)) | (~((~v159(constB4)) | (~v202(constB4))))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(32038,plain,
% 7.49/5.74 (~v205(constB4)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32037, 32036, 32034])).
% 7.49/5.74 tff(32039,plain,
% 7.49/5.74 ((~(v201(constB4) | v205(constB4))) | v201(constB4) | v205(constB4)),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(32040,plain,
% 7.49/5.74 (~(v201(constB4) | v205(constB4))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32039, 32038, 32027])).
% 7.49/5.74 tff(32041,plain,
% 7.49/5.74 ((~(v200(constB4) <=> (v201(constB4) | v205(constB4)))) | (~v200(constB4)) | (v201(constB4) | v205(constB4))),
% 7.49/5.74 inference(tautology,[status(thm)],[])).
% 7.49/5.74 tff(32042,plain,
% 7.49/5.74 ((~(v200(constB4) <=> (v201(constB4) | v205(constB4)))) | (~v200(constB4))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32041, 32040])).
% 7.49/5.74 tff(32043,plain,
% 7.49/5.74 (~v200(constB4)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32042, 31998])).
% 7.49/5.74 tff(32044,plain,
% 7.49/5.74 ($false),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32043, 31996])).
% 7.49/5.74 tff(32045,plain,(~(constB4 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.74 tff(32046,assumption,(constB43 = VarCurr!0), introduced(assumption)).
% 7.49/5.74 tff(32047,plain,
% 7.49/5.74 (v200(constB43) <=> v200(VarCurr!0)),
% 7.49/5.74 inference(monotonicity,[status(thm)],[32046])).
% 7.49/5.74 tff(32048,plain,
% 7.49/5.74 (v200(VarCurr!0) <=> v200(constB43)),
% 7.49/5.74 inference(symmetry,[status(thm)],[32047])).
% 7.49/5.74 tff(32049,plain,
% 7.49/5.74 (v200(constB43)),
% 7.49/5.74 inference(modus_ponens,[status(thm)],[27, 32048])).
% 7.49/5.74 tff(32050,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB43) <=> (v201(constB43) | v205(constB43)))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(32051,plain,
% 7.49/5.74 (v200(constB43) <=> (v201(constB43) | v205(constB43))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32050, 35])).
% 7.49/5.74 tff(32052,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB43) <=> (~((~v157(constB43)) | (~v202(constB43)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB43) <=> (~((~v157(constB43)) | (~v202(constB43))))))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(32053,plain,
% 7.49/5.74 ((v201(constB43) <=> (~((~v202(constB43)) | (~v157(constB43))))) <=> (v201(constB43) <=> (~((~v157(constB43)) | (~v202(constB43)))))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(32054,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB43) <=> (~((~v202(constB43)) | (~v157(constB43)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB43) <=> (~((~v157(constB43)) | (~v202(constB43))))))),
% 7.49/5.74 inference(monotonicity,[status(thm)],[32053])).
% 7.49/5.74 tff(32055,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB43) <=> (~((~v202(constB43)) | (~v157(constB43)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB43) <=> (~((~v157(constB43)) | (~v202(constB43))))))),
% 7.49/5.74 inference(transitivity,[status(thm)],[32054, 32052])).
% 7.49/5.74 tff(32056,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB43) <=> (~((~v202(constB43)) | (~v157(constB43)))))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(32057,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB43) <=> (~((~v157(constB43)) | (~v202(constB43)))))),
% 7.49/5.74 inference(modus_ponens,[status(thm)],[32056, 32055])).
% 7.49/5.74 tff(32058,plain,
% 7.49/5.74 (v201(constB43) <=> (~((~v157(constB43)) | (~v202(constB43))))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32057, 47])).
% 7.49/5.74 tff(32059,plain,
% 7.49/5.74 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB43) <=> v192(constB43))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(32060,plain,
% 7.49/5.74 (v157(constB43) <=> v192(constB43)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32059, 15407])).
% 7.49/5.74 tff(32061,plain,
% 7.49/5.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB42, constB43)) | (v192(constB43) <=> v190(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB42, constB43)) | (v192(constB43) <=> v190(constB42)))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(32062,plain,
% 7.49/5.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB42, constB43)) | (v192(constB43) <=> v190(constB42)))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(32063,plain,
% 7.49/5.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB42, constB43)) | (v192(constB43) <=> v190(constB42))),
% 7.49/5.74 inference(modus_ponens,[status(thm)],[32062, 32061])).
% 7.49/5.74 tff(32064,plain,
% 7.49/5.74 (v192(constB43) <=> v190(constB42)),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32063, 3161, 15419])).
% 7.49/5.74 tff(32065,plain,
% 7.49/5.74 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB42) <=> (v193(constB42) | v196(constB42)))),
% 7.49/5.74 inference(quant_inst,[status(thm)],[])).
% 7.49/5.74 tff(32066,plain,
% 7.49/5.74 (v190(constB42) <=> (v193(constB42) | v196(constB42))),
% 7.49/5.74 inference(unit_resolution,[status(thm)],[32065, 15430])).
% 7.49/5.74 tff(32067,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB42) <=> (~((~v157(constB42)) | (~v194(constB42)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB42) <=> (~((~v157(constB42)) | (~v194(constB42))))))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(32068,plain,
% 7.49/5.74 ((v193(constB42) <=> (~((~v194(constB42)) | (~v157(constB42))))) <=> (v193(constB42) <=> (~((~v157(constB42)) | (~v194(constB42)))))),
% 7.49/5.74 inference(rewrite,[status(thm)],[])).
% 7.49/5.74 tff(32069,plain,
% 7.49/5.74 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB42) <=> (~((~v194(constB42)) | (~v157(constB42)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB42) <=> (~((~v157(constB42)) | (~v194(constB42))))))),
% 7.49/5.75 inference(monotonicity,[status(thm)],[32068])).
% 7.49/5.75 tff(32070,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB42) <=> (~((~v194(constB42)) | (~v157(constB42)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB42) <=> (~((~v157(constB42)) | (~v194(constB42))))))),
% 7.49/5.75 inference(transitivity,[status(thm)],[32069, 32067])).
% 7.49/5.75 tff(32071,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB42) <=> (~((~v194(constB42)) | (~v157(constB42)))))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32072,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB42) <=> (~((~v157(constB42)) | (~v194(constB42)))))),
% 7.49/5.75 inference(modus_ponens,[status(thm)],[32071, 32070])).
% 7.49/5.75 tff(32073,plain,
% 7.49/5.75 (v193(constB42) <=> (~((~v157(constB42)) | (~v194(constB42))))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32072, 15442])).
% 7.49/5.75 tff(32074,plain,
% 7.49/5.75 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB42) <=> v192(constB42))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32075,plain,
% 7.49/5.75 (v157(constB42) <=> v192(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32074, 15407])).
% 7.49/5.75 tff(32076,plain,
% 7.49/5.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB41, constB42)) | (v192(constB42) <=> v190(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB41, constB42)) | (v192(constB42) <=> v190(constB41)))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32077,plain,
% 7.49/5.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB41, constB42)) | (v192(constB42) <=> v190(constB41)))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32078,plain,
% 7.49/5.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB41, constB42)) | (v192(constB42) <=> v190(constB41))),
% 7.49/5.75 inference(modus_ponens,[status(thm)],[32077, 32076])).
% 7.49/5.75 tff(32079,plain,
% 7.49/5.75 (v192(constB42) <=> v190(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32078, 3197, 15419])).
% 7.49/5.75 tff(32080,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB41) <=> (v193(constB41) | v196(constB41)))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32081,plain,
% 7.49/5.75 (v190(constB41) <=> (v193(constB41) | v196(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32080, 15430])).
% 7.49/5.75 tff(32082,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB41) <=> (~((~v159(constB41)) | (~v194(constB41)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB41) <=> (~((~v159(constB41)) | (~v194(constB41))))))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32083,plain,
% 7.49/5.75 ((v196(constB41) <=> (~((~v194(constB41)) | (~v159(constB41))))) <=> (v196(constB41) <=> (~((~v159(constB41)) | (~v194(constB41)))))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32084,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB41) <=> (~((~v194(constB41)) | (~v159(constB41)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB41) <=> (~((~v159(constB41)) | (~v194(constB41))))))),
% 7.49/5.75 inference(monotonicity,[status(thm)],[32083])).
% 7.49/5.75 tff(32085,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB41) <=> (~((~v194(constB41)) | (~v159(constB41)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB41) <=> (~((~v159(constB41)) | (~v194(constB41))))))),
% 7.49/5.75 inference(transitivity,[status(thm)],[32084, 32082])).
% 7.49/5.75 tff(32086,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB41) <=> (~((~v194(constB41)) | (~v159(constB41)))))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32087,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB41) <=> (~((~v159(constB41)) | (~v194(constB41)))))),
% 7.49/5.75 inference(modus_ponens,[status(thm)],[32086, 32085])).
% 7.49/5.75 tff(32088,plain,
% 7.49/5.75 (v196(constB41) <=> (~((~v159(constB41)) | (~v194(constB41))))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32087, 15467])).
% 7.49/5.75 tff(32089,plain,
% 7.49/5.75 (((~v159(constB41)) | (~v194(constB41))) | v159(constB41)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32090,plain,
% 7.49/5.75 ((~v159(constB41)) | (~v194(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32089, 24643])).
% 7.49/5.75 tff(32091,plain,
% 7.49/5.75 ((~(v196(constB41) <=> (~((~v159(constB41)) | (~v194(constB41)))))) | (~v196(constB41)) | (~((~v159(constB41)) | (~v194(constB41))))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32092,plain,
% 7.49/5.75 (~v196(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32091, 32090, 32088])).
% 7.49/5.75 tff(32093,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB41) <=> (~((~v157(constB41)) | (~v194(constB41)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB41) <=> (~((~v157(constB41)) | (~v194(constB41))))))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32094,plain,
% 7.49/5.75 ((v193(constB41) <=> (~((~v194(constB41)) | (~v157(constB41))))) <=> (v193(constB41) <=> (~((~v157(constB41)) | (~v194(constB41)))))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32095,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB41) <=> (~((~v194(constB41)) | (~v157(constB41)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB41) <=> (~((~v157(constB41)) | (~v194(constB41))))))),
% 7.49/5.75 inference(monotonicity,[status(thm)],[32094])).
% 7.49/5.75 tff(32096,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB41) <=> (~((~v194(constB41)) | (~v157(constB41)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB41) <=> (~((~v157(constB41)) | (~v194(constB41))))))),
% 7.49/5.75 inference(transitivity,[status(thm)],[32095, 32093])).
% 7.49/5.75 tff(32097,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB41) <=> (~((~v194(constB41)) | (~v157(constB41)))))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32098,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB41) <=> (~((~v157(constB41)) | (~v194(constB41)))))),
% 7.49/5.75 inference(modus_ponens,[status(thm)],[32097, 32096])).
% 7.49/5.75 tff(32099,plain,
% 7.49/5.75 (v193(constB41) <=> (~((~v157(constB41)) | (~v194(constB41))))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32098, 15442])).
% 7.49/5.75 tff(32100,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB41)) <=> v195(constB41))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32101,plain,
% 7.49/5.75 ((~v194(constB41)) <=> v195(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32100, 15527])).
% 7.49/5.75 tff(32102,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB41) <=> (v185(constB41) | v26(constB41)))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32103,plain,
% 7.49/5.75 (v195(constB41) <=> (v185(constB41) | v26(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32102, 15536])).
% 7.49/5.75 tff(32104,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB41) <=> (~((~v39(constB41)) | (~v9(constB41)))))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32105,plain,
% 7.49/5.75 (v185(constB41) <=> (~((~v39(constB41)) | (~v9(constB41))))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32104, 93])).
% 7.49/5.75 tff(32106,plain,
% 7.49/5.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41)))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32107,plain,
% 7.49/5.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41)))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32108,plain,
% 7.49/5.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41))),
% 7.49/5.75 inference(modus_ponens,[status(thm)],[32107, 32106])).
% 7.49/5.75 tff(32109,plain,
% 7.49/5.75 (v13(constB42) <=> v9(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32108, 3197, 15550])).
% 7.49/5.75 tff(32110,plain,
% 7.49/5.75 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB42) <=> v13(constB42))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32111,plain,
% 7.49/5.75 (v6(constB42) <=> v13(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32110, 15564])).
% 7.49/5.75 tff(32112,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB42)) <=> v6(constB42))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32113,plain,
% 7.49/5.75 ((~v21(constB42)) <=> v6(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32112, 15573])).
% 7.49/5.75 tff(32114,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB42) <=> (v20(constB42) | v21(constB42)))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32115,plain,
% 7.49/5.75 (v19(constB42) <=> (v20(constB42) | v21(constB42))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32114, 15582])).
% 7.49/5.75 tff(32116,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42)))))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32117,plain,
% 7.49/5.75 (v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42))))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32116, 15594])).
% 7.49/5.75 tff(32118,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB42)) <=> v18(constB42))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32119,plain,
% 7.49/5.75 ((~v4(constB42)) <=> v18(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32118, 15603])).
% 7.49/5.75 tff(32120,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB42)),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32121,plain,
% 7.49/5.75 (v4(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32120, 15612])).
% 7.49/5.75 tff(32122,plain,
% 7.49/5.75 ((~((~v4(constB42)) <=> v18(constB42))) | (~v4(constB42)) | (~v18(constB42))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32123,plain,
% 7.49/5.75 (~v18(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32122, 32121, 32119])).
% 7.49/5.75 tff(32124,plain,
% 7.49/5.75 ((~(v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42)))))) | v18(constB42) | ((~v19(constB42)) | (~v22(constB42)))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32125,plain,
% 7.49/5.75 ((~v19(constB42)) | (~v22(constB42))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32124, 32123, 32117])).
% 7.49/5.75 tff(32126,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB42) <=> (v1(constB42) | v6(constB42)))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32127,plain,
% 7.49/5.75 (v22(constB42) <=> (v1(constB42) | v6(constB42))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32126, 15625])).
% 7.49/5.75 tff(32128,plain,
% 7.49/5.75 ((v1(constB42) | v6(constB42)) | (~v1(constB42))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32129,plain,
% 7.49/5.75 (v1(constB42) | v6(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32128, 8026])).
% 7.49/5.75 tff(32130,plain,
% 7.49/5.75 ((~(v22(constB42) <=> (v1(constB42) | v6(constB42)))) | v22(constB42) | (~(v1(constB42) | v6(constB42)))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32131,plain,
% 7.49/5.75 ((~(v22(constB42) <=> (v1(constB42) | v6(constB42)))) | v22(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32130, 32129])).
% 7.49/5.75 tff(32132,plain,
% 7.49/5.75 (v22(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32131, 32127])).
% 7.49/5.75 tff(32133,plain,
% 7.49/5.75 ((~((~v19(constB42)) | (~v22(constB42)))) | (~v19(constB42)) | (~v22(constB42))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32134,plain,
% 7.49/5.75 ((~((~v19(constB42)) | (~v22(constB42)))) | (~v19(constB42))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32133, 32132])).
% 7.49/5.75 tff(32135,plain,
% 7.49/5.75 (~v19(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32134, 32125])).
% 7.49/5.75 tff(32136,plain,
% 7.49/5.75 ((~(v19(constB42) <=> (v20(constB42) | v21(constB42)))) | v19(constB42) | (~(v20(constB42) | v21(constB42)))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32137,plain,
% 7.49/5.75 (~(v20(constB42) | v21(constB42))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32136, 32135, 32115])).
% 7.49/5.75 tff(32138,plain,
% 7.49/5.75 ((v20(constB42) | v21(constB42)) | (~v21(constB42))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32139,plain,
% 7.49/5.75 (~v21(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32138, 32137])).
% 7.49/5.75 tff(32140,plain,
% 7.49/5.75 ((~((~v21(constB42)) <=> v6(constB42))) | v21(constB42) | v6(constB42)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32141,plain,
% 7.49/5.75 (v6(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32140, 32139, 32113])).
% 7.49/5.75 tff(32142,plain,
% 7.49/5.75 ((~(v6(constB42) <=> v13(constB42))) | (~v6(constB42)) | v13(constB42)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32143,plain,
% 7.49/5.75 (v13(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32142, 32141, 32111])).
% 7.49/5.75 tff(32144,plain,
% 7.49/5.75 ((~(v13(constB42) <=> v9(constB41))) | (~v13(constB42)) | v9(constB41)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32145,plain,
% 7.49/5.75 (v9(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32144, 32143, 32109])).
% 7.49/5.75 tff(32146,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB41)) <=> v1(constB41))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32147,plain,
% 7.49/5.75 ((~v39(constB41)) <=> v1(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32146, 102])).
% 7.49/5.75 tff(32148,plain,
% 7.49/5.75 ((~((~v39(constB41)) <=> v1(constB41))) | v39(constB41) | v1(constB41)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32149,plain,
% 7.49/5.75 ((~((~v39(constB41)) <=> v1(constB41))) | v39(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32148, 3241])).
% 7.49/5.75 tff(32150,plain,
% 7.49/5.75 (v39(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32149, 32147])).
% 7.49/5.75 tff(32151,plain,
% 7.49/5.75 ((~((~v39(constB41)) | (~v9(constB41)))) | (~v39(constB41)) | (~v9(constB41))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32152,plain,
% 7.49/5.75 ((~((~v39(constB41)) | (~v9(constB41)))) | (~v9(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32151, 32150])).
% 7.49/5.75 tff(32153,plain,
% 7.49/5.75 (~((~v39(constB41)) | (~v9(constB41)))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32152, 32145])).
% 7.49/5.75 tff(32154,plain,
% 7.49/5.75 ((~(v185(constB41) <=> (~((~v39(constB41)) | (~v9(constB41)))))) | v185(constB41) | ((~v39(constB41)) | (~v9(constB41)))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32155,plain,
% 7.49/5.75 (v185(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32154, 32153, 32105])).
% 7.49/5.75 tff(32156,plain,
% 7.49/5.75 ((v185(constB41) | v26(constB41)) | (~v185(constB41))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32157,plain,
% 7.49/5.75 (v185(constB41) | v26(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32156, 32155])).
% 7.49/5.75 tff(32158,plain,
% 7.49/5.75 ((~(v195(constB41) <=> (v185(constB41) | v26(constB41)))) | v195(constB41) | (~(v185(constB41) | v26(constB41)))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32159,plain,
% 7.49/5.75 (v195(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32158, 32157, 32103])).
% 7.49/5.75 tff(32160,plain,
% 7.49/5.75 ((~((~v194(constB41)) <=> v195(constB41))) | (~v194(constB41)) | (~v195(constB41))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32161,plain,
% 7.49/5.75 (~v194(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32160, 32159, 32101])).
% 7.49/5.75 tff(32162,plain,
% 7.49/5.75 (((~v157(constB41)) | (~v194(constB41))) | v194(constB41)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32163,plain,
% 7.49/5.75 ((~v157(constB41)) | (~v194(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32162, 32161])).
% 7.49/5.75 tff(32164,plain,
% 7.49/5.75 ((~(v193(constB41) <=> (~((~v157(constB41)) | (~v194(constB41)))))) | (~v193(constB41)) | (~((~v157(constB41)) | (~v194(constB41))))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32165,plain,
% 7.49/5.75 (~v193(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32164, 32163, 32099])).
% 7.49/5.75 tff(32166,plain,
% 7.49/5.75 ((~(v193(constB41) | v196(constB41))) | v193(constB41) | v196(constB41)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32167,plain,
% 7.49/5.75 (~(v193(constB41) | v196(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32166, 32165, 32092])).
% 7.49/5.75 tff(32168,plain,
% 7.49/5.75 ((~(v190(constB41) <=> (v193(constB41) | v196(constB41)))) | (~v190(constB41)) | (v193(constB41) | v196(constB41))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32169,plain,
% 7.49/5.75 (~v190(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32168, 32167, 32081])).
% 7.49/5.75 tff(32170,plain,
% 7.49/5.75 ((~(v192(constB42) <=> v190(constB41))) | (~v192(constB42)) | v190(constB41)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32171,plain,
% 7.49/5.75 (~v192(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32170, 32169, 32079])).
% 7.49/5.75 tff(32172,plain,
% 7.49/5.75 ((~(v157(constB42) <=> v192(constB42))) | (~v157(constB42)) | v192(constB42)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32173,plain,
% 7.49/5.75 (~v157(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32172, 32171, 32075])).
% 7.49/5.75 tff(32174,plain,
% 7.49/5.75 (((~v157(constB42)) | (~v194(constB42))) | v157(constB42)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32175,plain,
% 7.49/5.75 ((~v157(constB42)) | (~v194(constB42))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32174, 32173])).
% 7.49/5.75 tff(32176,plain,
% 7.49/5.75 ((~(v193(constB42) <=> (~((~v157(constB42)) | (~v194(constB42)))))) | (~v193(constB42)) | (~((~v157(constB42)) | (~v194(constB42))))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32177,plain,
% 7.49/5.75 (~v193(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32176, 32175, 32073])).
% 7.49/5.75 tff(32178,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB42) <=> (~((~v159(constB42)) | (~v194(constB42)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB42) <=> (~((~v159(constB42)) | (~v194(constB42))))))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32179,plain,
% 7.49/5.75 ((v196(constB42) <=> (~((~v194(constB42)) | (~v159(constB42))))) <=> (v196(constB42) <=> (~((~v159(constB42)) | (~v194(constB42)))))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32180,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB42) <=> (~((~v194(constB42)) | (~v159(constB42)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB42) <=> (~((~v159(constB42)) | (~v194(constB42))))))),
% 7.49/5.75 inference(monotonicity,[status(thm)],[32179])).
% 7.49/5.75 tff(32181,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB42) <=> (~((~v194(constB42)) | (~v159(constB42)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB42) <=> (~((~v159(constB42)) | (~v194(constB42))))))),
% 7.49/5.75 inference(transitivity,[status(thm)],[32180, 32178])).
% 7.49/5.75 tff(32182,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB42) <=> (~((~v194(constB42)) | (~v159(constB42)))))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32183,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB42) <=> (~((~v159(constB42)) | (~v194(constB42)))))),
% 7.49/5.75 inference(modus_ponens,[status(thm)],[32182, 32181])).
% 7.49/5.75 tff(32184,plain,
% 7.49/5.75 (v196(constB42) <=> (~((~v159(constB42)) | (~v194(constB42))))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32183, 15467])).
% 7.49/5.75 tff(32185,plain,
% 7.49/5.75 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB42) <=> v182(constB42))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32186,plain,
% 7.49/5.75 (v159(constB42) <=> v182(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32185, 15113])).
% 7.49/5.75 tff(32187,plain,
% 7.49/5.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB41, constB42)) | (v182(constB42) <=> v180(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB41, constB42)) | (v182(constB42) <=> v180(constB41)))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32188,plain,
% 7.49/5.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB41, constB42)) | (v182(constB42) <=> v180(constB41)))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32189,plain,
% 7.49/5.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB41, constB42)) | (v182(constB42) <=> v180(constB41))),
% 7.49/5.75 inference(modus_ponens,[status(thm)],[32188, 32187])).
% 7.49/5.75 tff(32190,plain,
% 7.49/5.75 (v182(constB42) <=> v180(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32189, 3197, 15125])).
% 7.49/5.75 tff(32191,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB41) <=> (~((~v183(constB41)) | (~v184(constB41)))))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32192,plain,
% 7.49/5.75 (v180(constB41) <=> (~((~v183(constB41)) | (~v184(constB41))))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32191, 15139])).
% 7.49/5.75 tff(32193,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB41) <=> (~((~v185(constB41)) | (~v161(constB41)))))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32194,plain,
% 7.49/5.75 (v184(constB41) <=> (~((~v185(constB41)) | (~v161(constB41))))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32193, 15151])).
% 7.49/5.75 tff(32195,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB41) <=> v163(constB41))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32196,plain,
% 7.49/5.75 (v161(constB41) <=> v163(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32195, 15701])).
% 7.49/5.75 tff(32197,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB41) <=> (v145(constB41) | v167(constB41)))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32198,plain,
% 7.49/5.75 (v166(constB41) <=> (v145(constB41) | v167(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32197, 15713])).
% 7.49/5.75 tff(32199,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB41) <=> (v142(constB41) | v168(constB41)))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32200,plain,
% 7.49/5.75 (v167(constB41) <=> (v142(constB41) | v168(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32199, 15725])).
% 7.49/5.75 tff(32201,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB41) <=> (v141(constB41) | v169(constB41)))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32202,plain,
% 7.49/5.75 (v168(constB41) <=> (v141(constB41) | v169(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32201, 26253])).
% 7.49/5.75 tff(32203,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB41) <=> (~((~v88(constB41, 1)) | v88(constB41, 2) | (~v88(constB41, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB41) <=> (~((~v88(constB41, 1)) | v88(constB41, 2) | (~v88(constB41, 0))))))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32204,plain,
% 7.49/5.75 ((v141(constB41) <=> (~(v88(constB41, 2) | (~v88(constB41, 1)) | (~v88(constB41, 0))))) <=> (v141(constB41) <=> (~((~v88(constB41, 1)) | v88(constB41, 2) | (~v88(constB41, 0)))))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32205,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB41) <=> (~(v88(constB41, 2) | (~v88(constB41, 1)) | (~v88(constB41, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB41) <=> (~((~v88(constB41, 1)) | v88(constB41, 2) | (~v88(constB41, 0))))))),
% 7.49/5.75 inference(monotonicity,[status(thm)],[32204])).
% 7.49/5.75 tff(32206,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB41) <=> (~(v88(constB41, 2) | (~v88(constB41, 1)) | (~v88(constB41, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB41) <=> (~((~v88(constB41, 1)) | v88(constB41, 2) | (~v88(constB41, 0))))))),
% 7.49/5.75 inference(transitivity,[status(thm)],[32205, 32203])).
% 7.49/5.75 tff(32207,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB41) <=> (~(v88(constB41, 2) | (~v88(constB41, 1)) | (~v88(constB41, 0)))))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32208,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB41) <=> (~((~v88(constB41, 1)) | v88(constB41, 2) | (~v88(constB41, 0)))))),
% 7.49/5.75 inference(modus_ponens,[status(thm)],[32207, 32206])).
% 7.49/5.75 tff(32209,plain,
% 7.49/5.75 (v141(constB41) <=> (~((~v88(constB41, 1)) | v88(constB41, 2) | (~v88(constB41, 0))))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32208, 26268])).
% 7.49/5.75 tff(32210,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB41, 1)) <=> v90(constB41, 1)) | ((~v88(constB41, 2)) <=> v90(constB41, 2)) | ((~v88(constB41, 0)) <=> v90(constB41, 0))))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32211,plain,
% 7.49/5.75 (~(((~v88(constB41, 1)) <=> v90(constB41, 1)) | ((~v88(constB41, 2)) <=> v90(constB41, 2)) | ((~v88(constB41, 0)) <=> v90(constB41, 0)))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32210, 256])).
% 7.49/5.75 tff(32212,plain,
% 7.49/5.75 ((((~v88(constB41, 1)) <=> v90(constB41, 1)) | ((~v88(constB41, 2)) <=> v90(constB41, 2)) | ((~v88(constB41, 0)) <=> v90(constB41, 0))) | (~((~v88(constB41, 2)) <=> v90(constB41, 2)))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32213,plain,
% 7.49/5.75 (~((~v88(constB41, 2)) <=> v90(constB41, 2))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32212, 32211])).
% 7.49/5.75 tff(32214,plain,
% 7.49/5.75 (((~v88(constB41, 2)) <=> v90(constB41, 2)) | (~v88(constB41, 2)) | v90(constB41, 2)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32215,plain,
% 7.49/5.75 (~v88(constB41, 2)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32214, 7945, 32213])).
% 7.49/5.75 tff(32216,plain,
% 7.49/5.75 ((((~v88(constB41, 1)) <=> v90(constB41, 1)) | ((~v88(constB41, 2)) <=> v90(constB41, 2)) | ((~v88(constB41, 0)) <=> v90(constB41, 0))) | (~((~v88(constB41, 0)) <=> v90(constB41, 0)))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32217,plain,
% 7.49/5.75 (~((~v88(constB41, 0)) <=> v90(constB41, 0))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32216, 32211])).
% 7.49/5.75 tff(32218,plain,
% 7.49/5.75 (((~v88(constB41, 0)) <=> v90(constB41, 0)) | v88(constB41, 0) | (~v90(constB41, 0))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32219,plain,
% 7.49/5.75 (v88(constB41, 0)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32218, 7963, 32217])).
% 7.49/5.75 tff(32220,plain,
% 7.49/5.75 ((((~v88(constB41, 1)) <=> v90(constB41, 1)) | ((~v88(constB41, 2)) <=> v90(constB41, 2)) | ((~v88(constB41, 0)) <=> v90(constB41, 0))) | (~((~v88(constB41, 1)) <=> v90(constB41, 1)))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32221,plain,
% 7.49/5.75 (~((~v88(constB41, 1)) <=> v90(constB41, 1))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32220, 32211])).
% 7.49/5.75 tff(32222,plain,
% 7.49/5.75 (((~v88(constB41, 1)) <=> v90(constB41, 1)) | v88(constB41, 1) | (~v90(constB41, 1))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32223,plain,
% 7.49/5.75 (v88(constB41, 1)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32222, 7981, 32221])).
% 7.49/5.75 tff(32224,plain,
% 7.49/5.75 ((~((~v88(constB41, 1)) | v88(constB41, 2) | (~v88(constB41, 0)))) | (~v88(constB41, 1)) | v88(constB41, 2) | (~v88(constB41, 0))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32225,plain,
% 7.49/5.75 (~((~v88(constB41, 1)) | v88(constB41, 2) | (~v88(constB41, 0)))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32224, 32223, 32219, 32215])).
% 7.49/5.75 tff(32226,plain,
% 7.49/5.75 ((~(v141(constB41) <=> (~((~v88(constB41, 1)) | v88(constB41, 2) | (~v88(constB41, 0)))))) | v141(constB41) | ((~v88(constB41, 1)) | v88(constB41, 2) | (~v88(constB41, 0)))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32227,plain,
% 7.49/5.75 (v141(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32226, 32225, 32209])).
% 7.49/5.75 tff(32228,plain,
% 7.49/5.75 ((v141(constB41) | v169(constB41)) | (~v141(constB41))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32229,plain,
% 7.49/5.75 (v141(constB41) | v169(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32228, 32227])).
% 7.49/5.75 tff(32230,plain,
% 7.49/5.75 ((~(v168(constB41) <=> (v141(constB41) | v169(constB41)))) | v168(constB41) | (~(v141(constB41) | v169(constB41)))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32231,plain,
% 7.49/5.75 (v168(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32230, 32229, 32202])).
% 7.49/5.75 tff(32232,plain,
% 7.49/5.75 ((v142(constB41) | v168(constB41)) | (~v168(constB41))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32233,plain,
% 7.49/5.75 (v142(constB41) | v168(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32232, 32231])).
% 7.49/5.75 tff(32234,plain,
% 7.49/5.75 ((~(v167(constB41) <=> (v142(constB41) | v168(constB41)))) | v167(constB41) | (~(v142(constB41) | v168(constB41)))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32235,plain,
% 7.49/5.75 ((~(v167(constB41) <=> (v142(constB41) | v168(constB41)))) | v167(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32234, 32233])).
% 7.49/5.75 tff(32236,plain,
% 7.49/5.75 (v167(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32235, 32200])).
% 7.49/5.75 tff(32237,plain,
% 7.49/5.75 ((v145(constB41) | v167(constB41)) | (~v167(constB41))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32238,plain,
% 7.49/5.75 (v145(constB41) | v167(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32237, 32236])).
% 7.49/5.75 tff(32239,plain,
% 7.49/5.75 ((~(v166(constB41) <=> (v145(constB41) | v167(constB41)))) | v166(constB41) | (~(v145(constB41) | v167(constB41)))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32240,plain,
% 7.49/5.75 (v166(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32239, 32238, 32198])).
% 7.49/5.75 tff(32241,plain,
% 7.49/5.75 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB41)) | (v163(constB41) <=> v170(constB41)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB41)) | (v163(constB41) <=> v170(constB41)))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32242,plain,
% 7.49/5.75 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB41)) | (v163(constB41) <=> v170(constB41)))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32243,plain,
% 7.49/5.75 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB41)) | (v163(constB41) <=> v170(constB41))),
% 7.49/5.75 inference(modus_ponens,[status(thm)],[32242, 32241])).
% 7.49/5.75 tff(32244,plain,
% 7.49/5.75 ((~v166(constB41)) | (v163(constB41) <=> v170(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32243, 15777])).
% 7.49/5.75 tff(32245,plain,
% 7.49/5.75 (v163(constB41) <=> v170(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32244, 32240])).
% 7.49/5.75 tff(32246,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB41) <=> (~(v88(constB41, 0) | v88(constB41, 1) | v88(constB41, 2))))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32247,plain,
% 7.49/5.75 (v139(constB41) <=> (~(v88(constB41, 0) | v88(constB41, 1) | v88(constB41, 2)))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32246, 15795])).
% 7.49/5.75 tff(32248,plain,
% 7.49/5.75 ((v88(constB41, 0) | v88(constB41, 1) | v88(constB41, 2)) | (~v88(constB41, 1))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32249,plain,
% 7.49/5.75 (v88(constB41, 0) | v88(constB41, 1) | v88(constB41, 2)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32248, 32223])).
% 7.49/5.75 tff(32250,plain,
% 7.49/5.75 ((~(v139(constB41) <=> (~(v88(constB41, 0) | v88(constB41, 1) | v88(constB41, 2))))) | (~v139(constB41)) | (~(v88(constB41, 0) | v88(constB41, 1) | v88(constB41, 2)))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32251,plain,
% 7.49/5.75 (~v139(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32250, 32249, 32247])).
% 7.49/5.75 tff(32252,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB41) <=> (~(v88(constB41, 1) | v88(constB41, 2) | (~v88(constB41, 0)))))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32253,plain,
% 7.49/5.75 (v140(constB41) <=> (~(v88(constB41, 1) | v88(constB41, 2) | (~v88(constB41, 0))))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32252, 15814])).
% 7.49/5.75 tff(32254,plain,
% 7.49/5.75 ((v88(constB41, 1) | v88(constB41, 2) | (~v88(constB41, 0))) | (~v88(constB41, 1))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32255,plain,
% 7.49/5.75 (v88(constB41, 1) | v88(constB41, 2) | (~v88(constB41, 0))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32254, 32223])).
% 7.49/5.75 tff(32256,plain,
% 7.49/5.75 ((~(v140(constB41) <=> (~(v88(constB41, 1) | v88(constB41, 2) | (~v88(constB41, 0)))))) | (~v140(constB41)) | (~(v88(constB41, 1) | v88(constB41, 2) | (~v88(constB41, 0))))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32257,plain,
% 7.49/5.75 (~v140(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32256, 32255, 32253])).
% 7.49/5.75 tff(32258,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB41) | v139(constB41) | (~v170(constB41)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB41) | v139(constB41) | (~v170(constB41)))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32259,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB41) | v139(constB41) | (~v170(constB41)))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32260,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB41) | v139(constB41) | (~v170(constB41))),
% 7.49/5.75 inference(modus_ponens,[status(thm)],[32259, 32258])).
% 7.49/5.75 tff(32261,plain,
% 7.49/5.75 (v140(constB41) | v139(constB41) | (~v170(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32260, 15833])).
% 7.49/5.75 tff(32262,plain,
% 7.49/5.75 (~v170(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32261, 32257, 32251])).
% 7.49/5.75 tff(32263,plain,
% 7.49/5.75 ((~(v163(constB41) <=> v170(constB41))) | (~v163(constB41)) | v170(constB41)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32264,plain,
% 7.49/5.75 ((~(v163(constB41) <=> v170(constB41))) | (~v163(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32263, 32262])).
% 7.49/5.75 tff(32265,plain,
% 7.49/5.75 (~v163(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32264, 32245])).
% 7.49/5.75 tff(32266,plain,
% 7.49/5.75 ((~(v161(constB41) <=> v163(constB41))) | (~v161(constB41)) | v163(constB41)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32267,plain,
% 7.49/5.75 ((~(v161(constB41) <=> v163(constB41))) | (~v161(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32266, 32265])).
% 7.49/5.75 tff(32268,plain,
% 7.49/5.75 (~v161(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32267, 32196])).
% 7.49/5.75 tff(32269,plain,
% 7.49/5.75 (((~v185(constB41)) | (~v161(constB41))) | v161(constB41)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32270,plain,
% 7.49/5.75 ((~v185(constB41)) | (~v161(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32269, 32268])).
% 7.49/5.75 tff(32271,plain,
% 7.49/5.75 ((~(v184(constB41) <=> (~((~v185(constB41)) | (~v161(constB41)))))) | (~v184(constB41)) | (~((~v185(constB41)) | (~v161(constB41))))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32272,plain,
% 7.49/5.75 (~v184(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32271, 32270, 32194])).
% 7.49/5.75 tff(32273,plain,
% 7.49/5.75 (((~v183(constB41)) | (~v184(constB41))) | v184(constB41)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32274,plain,
% 7.49/5.75 ((~v183(constB41)) | (~v184(constB41))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32273, 32272])).
% 7.49/5.75 tff(32275,plain,
% 7.49/5.75 ((~(v180(constB41) <=> (~((~v183(constB41)) | (~v184(constB41)))))) | (~v180(constB41)) | (~((~v183(constB41)) | (~v184(constB41))))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32276,plain,
% 7.49/5.75 (~v180(constB41)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32275, 32274, 32192])).
% 7.49/5.75 tff(32277,plain,
% 7.49/5.75 ((~(v182(constB42) <=> v180(constB41))) | (~v182(constB42)) | v180(constB41)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32278,plain,
% 7.49/5.75 (~v182(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32277, 32276, 32190])).
% 7.49/5.75 tff(32279,plain,
% 7.49/5.75 ((~(v159(constB42) <=> v182(constB42))) | (~v159(constB42)) | v182(constB42)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32280,plain,
% 7.49/5.75 (~v159(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32279, 32278, 32186])).
% 7.49/5.75 tff(32281,plain,
% 7.49/5.75 (((~v159(constB42)) | (~v194(constB42))) | v159(constB42)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32282,plain,
% 7.49/5.75 ((~v159(constB42)) | (~v194(constB42))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32281, 32280])).
% 7.49/5.75 tff(32283,plain,
% 7.49/5.75 ((~(v196(constB42) <=> (~((~v159(constB42)) | (~v194(constB42)))))) | (~v196(constB42)) | (~((~v159(constB42)) | (~v194(constB42))))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32284,plain,
% 7.49/5.75 (~v196(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32283, 32282, 32184])).
% 7.49/5.75 tff(32285,plain,
% 7.49/5.75 ((~(v193(constB42) | v196(constB42))) | v193(constB42) | v196(constB42)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32286,plain,
% 7.49/5.75 (~(v193(constB42) | v196(constB42))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32285, 32284, 32177])).
% 7.49/5.75 tff(32287,plain,
% 7.49/5.75 ((~(v190(constB42) <=> (v193(constB42) | v196(constB42)))) | (~v190(constB42)) | (v193(constB42) | v196(constB42))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32288,plain,
% 7.49/5.75 (~v190(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32287, 32286, 32066])).
% 7.49/5.75 tff(32289,plain,
% 7.49/5.75 ((~(v192(constB43) <=> v190(constB42))) | (~v192(constB43)) | v190(constB42)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32290,plain,
% 7.49/5.75 (~v192(constB43)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32289, 32288, 32064])).
% 7.49/5.75 tff(32291,plain,
% 7.49/5.75 ((~(v157(constB43) <=> v192(constB43))) | (~v157(constB43)) | v192(constB43)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32292,plain,
% 7.49/5.75 (~v157(constB43)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32291, 32290, 32060])).
% 7.49/5.75 tff(32293,plain,
% 7.49/5.75 (((~v157(constB43)) | (~v202(constB43))) | v157(constB43)),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32294,plain,
% 7.49/5.75 ((~v157(constB43)) | (~v202(constB43))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32293, 32292])).
% 7.49/5.75 tff(32295,plain,
% 7.49/5.75 ((~(v201(constB43) <=> (~((~v157(constB43)) | (~v202(constB43)))))) | (~v201(constB43)) | (~((~v157(constB43)) | (~v202(constB43))))),
% 7.49/5.75 inference(tautology,[status(thm)],[])).
% 7.49/5.75 tff(32296,plain,
% 7.49/5.75 (~v201(constB43)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32295, 32294, 32058])).
% 7.49/5.75 tff(32297,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB43) <=> (~((~v159(constB43)) | (~v202(constB43)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB43) <=> (~((~v159(constB43)) | (~v202(constB43))))))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32298,plain,
% 7.49/5.75 ((v205(constB43) <=> (~((~v202(constB43)) | (~v159(constB43))))) <=> (v205(constB43) <=> (~((~v159(constB43)) | (~v202(constB43)))))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32299,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB43) <=> (~((~v202(constB43)) | (~v159(constB43)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB43) <=> (~((~v159(constB43)) | (~v202(constB43))))))),
% 7.49/5.75 inference(monotonicity,[status(thm)],[32298])).
% 7.49/5.75 tff(32300,plain,
% 7.49/5.75 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB43) <=> (~((~v202(constB43)) | (~v159(constB43)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB43) <=> (~((~v159(constB43)) | (~v202(constB43))))))),
% 7.49/5.75 inference(transitivity,[status(thm)],[32299, 32297])).
% 7.49/5.75 tff(32301,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB43) <=> (~((~v202(constB43)) | (~v159(constB43)))))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32302,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB43) <=> (~((~v159(constB43)) | (~v202(constB43)))))),
% 7.49/5.75 inference(modus_ponens,[status(thm)],[32301, 32300])).
% 7.49/5.75 tff(32303,plain,
% 7.49/5.75 (v205(constB43) <=> (~((~v159(constB43)) | (~v202(constB43))))),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32302, 138])).
% 7.49/5.75 tff(32304,plain,
% 7.49/5.75 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB43) <=> v182(constB43))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32305,plain,
% 7.49/5.75 (v159(constB43) <=> v182(constB43)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32304, 15113])).
% 7.49/5.75 tff(32306,plain,
% 7.49/5.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB42, constB43)) | (v182(constB43) <=> v180(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB42, constB43)) | (v182(constB43) <=> v180(constB42)))),
% 7.49/5.75 inference(rewrite,[status(thm)],[])).
% 7.49/5.75 tff(32307,plain,
% 7.49/5.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB42, constB43)) | (v182(constB43) <=> v180(constB42)))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.75 tff(32308,plain,
% 7.49/5.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB42, constB43)) | (v182(constB43) <=> v180(constB42))),
% 7.49/5.75 inference(modus_ponens,[status(thm)],[32307, 32306])).
% 7.49/5.75 tff(32309,plain,
% 7.49/5.75 (v182(constB43) <=> v180(constB42)),
% 7.49/5.75 inference(unit_resolution,[status(thm)],[32308, 3161, 15125])).
% 7.49/5.75 tff(32310,plain,
% 7.49/5.75 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB42) <=> (~((~v183(constB42)) | (~v184(constB42)))))),
% 7.49/5.75 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32311,plain,
% 7.49/5.76 (v180(constB42) <=> (~((~v183(constB42)) | (~v184(constB42))))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32310, 15139])).
% 7.49/5.76 tff(32312,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB42) <=> (~((~v185(constB42)) | (~v161(constB42)))))),
% 7.49/5.76 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32313,plain,
% 7.49/5.76 (v184(constB42) <=> (~((~v185(constB42)) | (~v161(constB42))))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32312, 15151])).
% 7.49/5.76 tff(32314,plain,
% 7.49/5.76 (((~v185(constB42)) | (~v161(constB42))) | v185(constB42)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32315,plain,
% 7.49/5.76 ((~v185(constB42)) | (~v161(constB42))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32314, 24753])).
% 7.49/5.76 tff(32316,plain,
% 7.49/5.76 ((~(v184(constB42) <=> (~((~v185(constB42)) | (~v161(constB42)))))) | (~v184(constB42)) | (~((~v185(constB42)) | (~v161(constB42))))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32317,plain,
% 7.49/5.76 ((~(v184(constB42) <=> (~((~v185(constB42)) | (~v161(constB42)))))) | (~v184(constB42))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32316, 32315])).
% 7.49/5.76 tff(32318,plain,
% 7.49/5.76 (~v184(constB42)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32317, 32313])).
% 7.49/5.76 tff(32319,plain,
% 7.49/5.76 (((~v183(constB42)) | (~v184(constB42))) | v184(constB42)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32320,plain,
% 7.49/5.76 ((~v183(constB42)) | (~v184(constB42))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32319, 32318])).
% 7.49/5.76 tff(32321,plain,
% 7.49/5.76 ((~(v180(constB42) <=> (~((~v183(constB42)) | (~v184(constB42)))))) | (~v180(constB42)) | (~((~v183(constB42)) | (~v184(constB42))))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32322,plain,
% 7.49/5.76 (~v180(constB42)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32321, 32320, 32311])).
% 7.49/5.76 tff(32323,plain,
% 7.49/5.76 ((~(v182(constB43) <=> v180(constB42))) | (~v182(constB43)) | v180(constB42)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32324,plain,
% 7.49/5.76 (~v182(constB43)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32323, 32322, 32309])).
% 7.49/5.76 tff(32325,plain,
% 7.49/5.76 ((~(v159(constB43) <=> v182(constB43))) | (~v159(constB43)) | v182(constB43)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32326,plain,
% 7.49/5.76 (~v159(constB43)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32325, 32324, 32305])).
% 7.49/5.76 tff(32327,plain,
% 7.49/5.76 (((~v159(constB43)) | (~v202(constB43))) | v159(constB43)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32328,plain,
% 7.49/5.76 ((~v159(constB43)) | (~v202(constB43))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32327, 32326])).
% 7.49/5.76 tff(32329,plain,
% 7.49/5.76 ((~(v205(constB43) <=> (~((~v159(constB43)) | (~v202(constB43)))))) | (~v205(constB43)) | (~((~v159(constB43)) | (~v202(constB43))))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32330,plain,
% 7.49/5.76 (~v205(constB43)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32329, 32328, 32303])).
% 7.49/5.76 tff(32331,plain,
% 7.49/5.76 ((~(v201(constB43) | v205(constB43))) | v201(constB43) | v205(constB43)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32332,plain,
% 7.49/5.76 ((~(v201(constB43) | v205(constB43))) | v201(constB43)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32331, 32330])).
% 7.49/5.76 tff(32333,plain,
% 7.49/5.76 (~(v201(constB43) | v205(constB43))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32332, 32296])).
% 7.49/5.76 tff(32334,plain,
% 7.49/5.76 ((~(v200(constB43) <=> (v201(constB43) | v205(constB43)))) | (~v200(constB43)) | (v201(constB43) | v205(constB43))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32335,plain,
% 7.49/5.76 (~v200(constB43)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32334, 32333, 32051])).
% 7.49/5.76 tff(32336,plain,
% 7.49/5.76 ($false),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32335, 32049])).
% 7.49/5.76 tff(32337,plain,(~(constB43 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.76 tff(32338,assumption,(constB146 = VarCurr!0), introduced(assumption)).
% 7.49/5.76 tff(32339,plain,
% 7.49/5.76 (v200(constB146) <=> v200(VarCurr!0)),
% 7.49/5.76 inference(monotonicity,[status(thm)],[32338])).
% 7.49/5.76 tff(32340,plain,
% 7.49/5.76 (v200(VarCurr!0) <=> v200(constB146)),
% 7.49/5.76 inference(symmetry,[status(thm)],[32339])).
% 7.49/5.76 tff(32341,plain,
% 7.49/5.76 (v200(constB146)),
% 7.49/5.76 inference(modus_ponens,[status(thm)],[27, 32340])).
% 7.49/5.76 tff(32342,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB146) <=> (v201(constB146) | v205(constB146)))),
% 7.49/5.76 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32343,plain,
% 7.49/5.76 (v200(constB146) <=> (v201(constB146) | v205(constB146))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32342, 35])).
% 7.49/5.76 tff(32344,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB146) <=> (~((~v157(constB146)) | (~v202(constB146)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB146) <=> (~((~v157(constB146)) | (~v202(constB146))))))),
% 7.49/5.76 inference(rewrite,[status(thm)],[])).
% 7.49/5.76 tff(32345,plain,
% 7.49/5.76 ((v201(constB146) <=> (~((~v202(constB146)) | (~v157(constB146))))) <=> (v201(constB146) <=> (~((~v157(constB146)) | (~v202(constB146)))))),
% 7.49/5.76 inference(rewrite,[status(thm)],[])).
% 7.49/5.76 tff(32346,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB146) <=> (~((~v202(constB146)) | (~v157(constB146)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB146) <=> (~((~v157(constB146)) | (~v202(constB146))))))),
% 7.49/5.76 inference(monotonicity,[status(thm)],[32345])).
% 7.49/5.76 tff(32347,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB146) <=> (~((~v202(constB146)) | (~v157(constB146)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB146) <=> (~((~v157(constB146)) | (~v202(constB146))))))),
% 7.49/5.76 inference(transitivity,[status(thm)],[32346, 32344])).
% 7.49/5.76 tff(32348,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB146) <=> (~((~v202(constB146)) | (~v157(constB146)))))),
% 7.49/5.76 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32349,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB146) <=> (~((~v157(constB146)) | (~v202(constB146)))))),
% 7.49/5.76 inference(modus_ponens,[status(thm)],[32348, 32347])).
% 7.49/5.76 tff(32350,plain,
% 7.49/5.76 (v201(constB146) <=> (~((~v157(constB146)) | (~v202(constB146))))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32349, 47])).
% 7.49/5.76 tff(32351,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB146) <=> (~((~v183(constB146)) | (~v203(constB146)))))),
% 7.49/5.76 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32352,plain,
% 7.49/5.76 (v202(constB146) <=> (~((~v183(constB146)) | (~v203(constB146))))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32351, 64])).
% 7.49/5.76 tff(32353,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB146) <=> (~((~v185(constB146)) | (~v204(constB146)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB146) <=> (~((~v185(constB146)) | (~v204(constB146))))))),
% 7.49/5.76 inference(rewrite,[status(thm)],[])).
% 7.49/5.76 tff(32354,plain,
% 7.49/5.76 ((v203(constB146) <=> (~((~v204(constB146)) | (~v185(constB146))))) <=> (v203(constB146) <=> (~((~v185(constB146)) | (~v204(constB146)))))),
% 7.49/5.76 inference(rewrite,[status(thm)],[])).
% 7.49/5.76 tff(32355,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB146) <=> (~((~v204(constB146)) | (~v185(constB146)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB146) <=> (~((~v185(constB146)) | (~v204(constB146))))))),
% 7.49/5.76 inference(monotonicity,[status(thm)],[32354])).
% 7.49/5.76 tff(32356,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB146) <=> (~((~v204(constB146)) | (~v185(constB146)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB146) <=> (~((~v185(constB146)) | (~v204(constB146))))))),
% 7.49/5.76 inference(transitivity,[status(thm)],[32355, 32353])).
% 7.49/5.76 tff(32357,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB146) <=> (~((~v204(constB146)) | (~v185(constB146)))))),
% 7.49/5.76 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32358,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB146) <=> (~((~v185(constB146)) | (~v204(constB146)))))),
% 7.49/5.76 inference(modus_ponens,[status(thm)],[32357, 32356])).
% 7.49/5.76 tff(32359,plain,
% 7.49/5.76 (v203(constB146) <=> (~((~v185(constB146)) | (~v204(constB146))))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32358, 76])).
% 7.49/5.76 tff(32360,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))),
% 7.49/5.76 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32361,plain,
% 7.49/5.76 (v185(constB146) <=> (~((~v39(constB146)) | (~v9(constB146))))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32360, 93])).
% 7.49/5.76 tff(32362,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB146)) <=> v1(constB146))),
% 7.49/5.76 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32363,plain,
% 7.49/5.76 ((~v39(constB146)) <=> v1(constB146)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32362, 102])).
% 7.49/5.76 tff(32364,plain,
% 7.49/5.76 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146)) | (~v1(constB146))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32365,plain,
% 7.49/5.76 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32364, 19910])).
% 7.49/5.76 tff(32366,plain,
% 7.49/5.76 (~v39(constB146)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32365, 32363])).
% 7.49/5.76 tff(32367,plain,
% 7.49/5.76 (((~v39(constB146)) | (~v9(constB146))) | v39(constB146)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32368,plain,
% 7.49/5.76 ((~v39(constB146)) | (~v9(constB146))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32367, 32366])).
% 7.49/5.76 tff(32369,plain,
% 7.49/5.76 ((~(v185(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v185(constB146)) | (~((~v39(constB146)) | (~v9(constB146))))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32370,plain,
% 7.49/5.76 ((~(v185(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v185(constB146))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32369, 32368])).
% 7.49/5.76 tff(32371,plain,
% 7.49/5.76 (~v185(constB146)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32370, 32361])).
% 7.49/5.76 tff(32372,plain,
% 7.49/5.76 (((~v185(constB146)) | (~v204(constB146))) | v185(constB146)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32373,plain,
% 7.49/5.76 ((~v185(constB146)) | (~v204(constB146))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32372, 32371])).
% 7.49/5.76 tff(32374,plain,
% 7.49/5.76 ((~(v203(constB146) <=> (~((~v185(constB146)) | (~v204(constB146)))))) | (~v203(constB146)) | (~((~v185(constB146)) | (~v204(constB146))))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32375,plain,
% 7.49/5.76 ((~(v203(constB146) <=> (~((~v185(constB146)) | (~v204(constB146)))))) | (~v203(constB146))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32374, 32373])).
% 7.49/5.76 tff(32376,plain,
% 7.49/5.76 (~v203(constB146)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32375, 32359])).
% 7.49/5.76 tff(32377,plain,
% 7.49/5.76 (((~v183(constB146)) | (~v203(constB146))) | v203(constB146)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32378,plain,
% 7.49/5.76 ((~v183(constB146)) | (~v203(constB146))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32377, 32376])).
% 7.49/5.76 tff(32379,plain,
% 7.49/5.76 ((~(v202(constB146) <=> (~((~v183(constB146)) | (~v203(constB146)))))) | (~v202(constB146)) | (~((~v183(constB146)) | (~v203(constB146))))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32380,plain,
% 7.49/5.76 (~v202(constB146)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32379, 32378, 32352])).
% 7.49/5.76 tff(32381,plain,
% 7.49/5.76 (((~v157(constB146)) | (~v202(constB146))) | v202(constB146)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32382,plain,
% 7.49/5.76 ((~v157(constB146)) | (~v202(constB146))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32381, 32380])).
% 7.49/5.76 tff(32383,plain,
% 7.49/5.76 ((~(v201(constB146) <=> (~((~v157(constB146)) | (~v202(constB146)))))) | (~v201(constB146)) | (~((~v157(constB146)) | (~v202(constB146))))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32384,plain,
% 7.49/5.76 (~v201(constB146)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32383, 32382, 32350])).
% 7.49/5.76 tff(32385,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB146) <=> (~((~v159(constB146)) | (~v202(constB146)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB146) <=> (~((~v159(constB146)) | (~v202(constB146))))))),
% 7.49/5.76 inference(rewrite,[status(thm)],[])).
% 7.49/5.76 tff(32386,plain,
% 7.49/5.76 ((v205(constB146) <=> (~((~v202(constB146)) | (~v159(constB146))))) <=> (v205(constB146) <=> (~((~v159(constB146)) | (~v202(constB146)))))),
% 7.49/5.76 inference(rewrite,[status(thm)],[])).
% 7.49/5.76 tff(32387,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB146) <=> (~((~v202(constB146)) | (~v159(constB146)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB146) <=> (~((~v159(constB146)) | (~v202(constB146))))))),
% 7.49/5.76 inference(monotonicity,[status(thm)],[32386])).
% 7.49/5.76 tff(32388,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB146) <=> (~((~v202(constB146)) | (~v159(constB146)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB146) <=> (~((~v159(constB146)) | (~v202(constB146))))))),
% 7.49/5.76 inference(transitivity,[status(thm)],[32387, 32385])).
% 7.49/5.76 tff(32389,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB146) <=> (~((~v202(constB146)) | (~v159(constB146)))))),
% 7.49/5.76 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32390,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB146) <=> (~((~v159(constB146)) | (~v202(constB146)))))),
% 7.49/5.76 inference(modus_ponens,[status(thm)],[32389, 32388])).
% 7.49/5.76 tff(32391,plain,
% 7.49/5.76 (v205(constB146) <=> (~((~v159(constB146)) | (~v202(constB146))))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32390, 138])).
% 7.49/5.76 tff(32392,plain,
% 7.49/5.76 (((~v159(constB146)) | (~v202(constB146))) | v202(constB146)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32393,plain,
% 7.49/5.76 ((~v159(constB146)) | (~v202(constB146))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32392, 32380])).
% 7.49/5.76 tff(32394,plain,
% 7.49/5.76 ((~(v205(constB146) <=> (~((~v159(constB146)) | (~v202(constB146)))))) | (~v205(constB146)) | (~((~v159(constB146)) | (~v202(constB146))))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32395,plain,
% 7.49/5.76 (~v205(constB146)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32394, 32393, 32391])).
% 7.49/5.76 tff(32396,plain,
% 7.49/5.76 ((~(v201(constB146) | v205(constB146))) | v201(constB146) | v205(constB146)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32397,plain,
% 7.49/5.76 (~(v201(constB146) | v205(constB146))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32396, 32395, 32384])).
% 7.49/5.76 tff(32398,plain,
% 7.49/5.76 ((~(v200(constB146) <=> (v201(constB146) | v205(constB146)))) | (~v200(constB146)) | (v201(constB146) | v205(constB146))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32399,plain,
% 7.49/5.76 ((~(v200(constB146) <=> (v201(constB146) | v205(constB146)))) | (~v200(constB146))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32398, 32397])).
% 7.49/5.76 tff(32400,plain,
% 7.49/5.76 (~v200(constB146)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32399, 32343])).
% 7.49/5.76 tff(32401,plain,
% 7.49/5.76 ($false),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32400, 32341])).
% 7.49/5.76 tff(32402,plain,(~(constB146 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.76 tff(32403,assumption,(constB82 = VarCurr!0), introduced(assumption)).
% 7.49/5.76 tff(32404,plain,
% 7.49/5.76 (v200(constB82) <=> v200(VarCurr!0)),
% 7.49/5.76 inference(monotonicity,[status(thm)],[32403])).
% 7.49/5.76 tff(32405,plain,
% 7.49/5.76 (v200(VarCurr!0) <=> v200(constB82)),
% 7.49/5.76 inference(symmetry,[status(thm)],[32404])).
% 7.49/5.76 tff(32406,plain,
% 7.49/5.76 (v200(constB82)),
% 7.49/5.76 inference(modus_ponens,[status(thm)],[27, 32405])).
% 7.49/5.76 tff(32407,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB82) <=> (v201(constB82) | v205(constB82)))),
% 7.49/5.76 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32408,plain,
% 7.49/5.76 (v200(constB82) <=> (v201(constB82) | v205(constB82))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32407, 35])).
% 7.49/5.76 tff(32409,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB82) <=> (~((~v157(constB82)) | (~v202(constB82)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB82) <=> (~((~v157(constB82)) | (~v202(constB82))))))),
% 7.49/5.76 inference(rewrite,[status(thm)],[])).
% 7.49/5.76 tff(32410,plain,
% 7.49/5.76 ((v201(constB82) <=> (~((~v202(constB82)) | (~v157(constB82))))) <=> (v201(constB82) <=> (~((~v157(constB82)) | (~v202(constB82)))))),
% 7.49/5.76 inference(rewrite,[status(thm)],[])).
% 7.49/5.76 tff(32411,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB82) <=> (~((~v202(constB82)) | (~v157(constB82)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB82) <=> (~((~v157(constB82)) | (~v202(constB82))))))),
% 7.49/5.76 inference(monotonicity,[status(thm)],[32410])).
% 7.49/5.76 tff(32412,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB82) <=> (~((~v202(constB82)) | (~v157(constB82)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB82) <=> (~((~v157(constB82)) | (~v202(constB82))))))),
% 7.49/5.76 inference(transitivity,[status(thm)],[32411, 32409])).
% 7.49/5.76 tff(32413,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB82) <=> (~((~v202(constB82)) | (~v157(constB82)))))),
% 7.49/5.76 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32414,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB82) <=> (~((~v157(constB82)) | (~v202(constB82)))))),
% 7.49/5.76 inference(modus_ponens,[status(thm)],[32413, 32412])).
% 7.49/5.76 tff(32415,plain,
% 7.49/5.76 (v201(constB82) <=> (~((~v157(constB82)) | (~v202(constB82))))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32414, 47])).
% 7.49/5.76 tff(32416,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB82) <=> (~((~v183(constB82)) | (~v203(constB82)))))),
% 7.49/5.76 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32417,plain,
% 7.49/5.76 (v202(constB82) <=> (~((~v183(constB82)) | (~v203(constB82))))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32416, 64])).
% 7.49/5.76 tff(32418,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB82) <=> (~((~v185(constB82)) | (~v204(constB82)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB82) <=> (~((~v185(constB82)) | (~v204(constB82))))))),
% 7.49/5.76 inference(rewrite,[status(thm)],[])).
% 7.49/5.76 tff(32419,plain,
% 7.49/5.76 ((v203(constB82) <=> (~((~v204(constB82)) | (~v185(constB82))))) <=> (v203(constB82) <=> (~((~v185(constB82)) | (~v204(constB82)))))),
% 7.49/5.76 inference(rewrite,[status(thm)],[])).
% 7.49/5.76 tff(32420,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB82) <=> (~((~v204(constB82)) | (~v185(constB82)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB82) <=> (~((~v185(constB82)) | (~v204(constB82))))))),
% 7.49/5.76 inference(monotonicity,[status(thm)],[32419])).
% 7.49/5.76 tff(32421,plain,
% 7.49/5.76 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB82) <=> (~((~v204(constB82)) | (~v185(constB82)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB82) <=> (~((~v185(constB82)) | (~v204(constB82))))))),
% 7.49/5.76 inference(transitivity,[status(thm)],[32420, 32418])).
% 7.49/5.76 tff(32422,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB82) <=> (~((~v204(constB82)) | (~v185(constB82)))))),
% 7.49/5.76 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32423,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB82) <=> (~((~v185(constB82)) | (~v204(constB82)))))),
% 7.49/5.76 inference(modus_ponens,[status(thm)],[32422, 32421])).
% 7.49/5.76 tff(32424,plain,
% 7.49/5.76 (v203(constB82) <=> (~((~v185(constB82)) | (~v204(constB82))))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32423, 76])).
% 7.49/5.76 tff(32425,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))),
% 7.49/5.76 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32426,plain,
% 7.49/5.76 (v185(constB82) <=> (~((~v39(constB82)) | (~v9(constB82))))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32425, 93])).
% 7.49/5.76 tff(32427,plain,
% 7.49/5.76 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB82)) <=> v1(constB82))),
% 7.49/5.76 inference(quant_inst,[status(thm)],[])).
% 7.49/5.76 tff(32428,plain,
% 7.49/5.76 ((~v39(constB82)) <=> v1(constB82)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32427, 102])).
% 7.49/5.76 tff(32429,plain,
% 7.49/5.76 ((~((~v39(constB82)) <=> v1(constB82))) | (~v39(constB82)) | (~v1(constB82))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32430,plain,
% 7.49/5.76 ((~((~v39(constB82)) <=> v1(constB82))) | (~v39(constB82))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32429, 11224])).
% 7.49/5.76 tff(32431,plain,
% 7.49/5.76 (~v39(constB82)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32430, 32428])).
% 7.49/5.76 tff(32432,plain,
% 7.49/5.76 (((~v39(constB82)) | (~v9(constB82))) | v39(constB82)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32433,plain,
% 7.49/5.76 ((~v39(constB82)) | (~v9(constB82))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32432, 32431])).
% 7.49/5.76 tff(32434,plain,
% 7.49/5.76 ((~(v185(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))) | (~v185(constB82)) | (~((~v39(constB82)) | (~v9(constB82))))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32435,plain,
% 7.49/5.76 ((~(v185(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))) | (~v185(constB82))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32434, 32433])).
% 7.49/5.76 tff(32436,plain,
% 7.49/5.76 (~v185(constB82)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32435, 32426])).
% 7.49/5.76 tff(32437,plain,
% 7.49/5.76 (((~v185(constB82)) | (~v204(constB82))) | v185(constB82)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32438,plain,
% 7.49/5.76 ((~v185(constB82)) | (~v204(constB82))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32437, 32436])).
% 7.49/5.76 tff(32439,plain,
% 7.49/5.76 ((~(v203(constB82) <=> (~((~v185(constB82)) | (~v204(constB82)))))) | (~v203(constB82)) | (~((~v185(constB82)) | (~v204(constB82))))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32440,plain,
% 7.49/5.76 ((~(v203(constB82) <=> (~((~v185(constB82)) | (~v204(constB82)))))) | (~v203(constB82))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32439, 32438])).
% 7.49/5.76 tff(32441,plain,
% 7.49/5.76 (~v203(constB82)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32440, 32424])).
% 7.49/5.76 tff(32442,plain,
% 7.49/5.76 (((~v183(constB82)) | (~v203(constB82))) | v203(constB82)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32443,plain,
% 7.49/5.76 ((~v183(constB82)) | (~v203(constB82))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32442, 32441])).
% 7.49/5.76 tff(32444,plain,
% 7.49/5.76 ((~(v202(constB82) <=> (~((~v183(constB82)) | (~v203(constB82)))))) | (~v202(constB82)) | (~((~v183(constB82)) | (~v203(constB82))))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32445,plain,
% 7.49/5.76 (~v202(constB82)),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32444, 32443, 32417])).
% 7.49/5.76 tff(32446,plain,
% 7.49/5.76 (((~v157(constB82)) | (~v202(constB82))) | v202(constB82)),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32447,plain,
% 7.49/5.76 ((~v157(constB82)) | (~v202(constB82))),
% 7.49/5.76 inference(unit_resolution,[status(thm)],[32446, 32445])).
% 7.49/5.76 tff(32448,plain,
% 7.49/5.76 ((~(v201(constB82) <=> (~((~v157(constB82)) | (~v202(constB82)))))) | (~v201(constB82)) | (~((~v157(constB82)) | (~v202(constB82))))),
% 7.49/5.76 inference(tautology,[status(thm)],[])).
% 7.49/5.76 tff(32449,plain,
% 7.58/5.76 (~v201(constB82)),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32448, 32447, 32415])).
% 7.58/5.76 tff(32450,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB82) <=> (~((~v159(constB82)) | (~v202(constB82)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB82) <=> (~((~v159(constB82)) | (~v202(constB82))))))),
% 7.58/5.76 inference(rewrite,[status(thm)],[])).
% 7.58/5.76 tff(32451,plain,
% 7.58/5.76 ((v205(constB82) <=> (~((~v202(constB82)) | (~v159(constB82))))) <=> (v205(constB82) <=> (~((~v159(constB82)) | (~v202(constB82)))))),
% 7.58/5.76 inference(rewrite,[status(thm)],[])).
% 7.58/5.76 tff(32452,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB82) <=> (~((~v202(constB82)) | (~v159(constB82)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB82) <=> (~((~v159(constB82)) | (~v202(constB82))))))),
% 7.58/5.76 inference(monotonicity,[status(thm)],[32451])).
% 7.58/5.76 tff(32453,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB82) <=> (~((~v202(constB82)) | (~v159(constB82)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB82) <=> (~((~v159(constB82)) | (~v202(constB82))))))),
% 7.58/5.76 inference(transitivity,[status(thm)],[32452, 32450])).
% 7.58/5.76 tff(32454,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB82) <=> (~((~v202(constB82)) | (~v159(constB82)))))),
% 7.58/5.76 inference(quant_inst,[status(thm)],[])).
% 7.58/5.76 tff(32455,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB82) <=> (~((~v159(constB82)) | (~v202(constB82)))))),
% 7.58/5.76 inference(modus_ponens,[status(thm)],[32454, 32453])).
% 7.58/5.76 tff(32456,plain,
% 7.58/5.76 (v205(constB82) <=> (~((~v159(constB82)) | (~v202(constB82))))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32455, 138])).
% 7.58/5.76 tff(32457,plain,
% 7.58/5.76 (((~v159(constB82)) | (~v202(constB82))) | v202(constB82)),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32458,plain,
% 7.58/5.76 ((~v159(constB82)) | (~v202(constB82))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32457, 32445])).
% 7.58/5.76 tff(32459,plain,
% 7.58/5.76 ((~(v205(constB82) <=> (~((~v159(constB82)) | (~v202(constB82)))))) | (~v205(constB82)) | (~((~v159(constB82)) | (~v202(constB82))))),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32460,plain,
% 7.58/5.76 (~v205(constB82)),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32459, 32458, 32456])).
% 7.58/5.76 tff(32461,plain,
% 7.58/5.76 ((~(v201(constB82) | v205(constB82))) | v201(constB82) | v205(constB82)),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32462,plain,
% 7.58/5.76 (~(v201(constB82) | v205(constB82))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32461, 32460, 32449])).
% 7.58/5.76 tff(32463,plain,
% 7.58/5.76 ((~(v200(constB82) <=> (v201(constB82) | v205(constB82)))) | (~v200(constB82)) | (v201(constB82) | v205(constB82))),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32464,plain,
% 7.58/5.76 ((~(v200(constB82) <=> (v201(constB82) | v205(constB82)))) | (~v200(constB82))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32463, 32462])).
% 7.58/5.76 tff(32465,plain,
% 7.58/5.76 (~v200(constB82)),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32464, 32408])).
% 7.58/5.76 tff(32466,plain,
% 7.58/5.76 ($false),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32465, 32406])).
% 7.58/5.76 tff(32467,plain,(~(constB82 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.58/5.76 tff(32468,assumption,(constB130 = VarCurr!0), introduced(assumption)).
% 7.58/5.76 tff(32469,plain,
% 7.58/5.76 (v200(constB130) <=> v200(VarCurr!0)),
% 7.58/5.76 inference(monotonicity,[status(thm)],[32468])).
% 7.58/5.76 tff(32470,plain,
% 7.58/5.76 (v200(VarCurr!0) <=> v200(constB130)),
% 7.58/5.76 inference(symmetry,[status(thm)],[32469])).
% 7.58/5.76 tff(32471,plain,
% 7.58/5.76 (v200(constB130)),
% 7.58/5.76 inference(modus_ponens,[status(thm)],[27, 32470])).
% 7.58/5.76 tff(32472,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB130) <=> (v201(constB130) | v205(constB130)))),
% 7.58/5.76 inference(quant_inst,[status(thm)],[])).
% 7.58/5.76 tff(32473,plain,
% 7.58/5.76 (v200(constB130) <=> (v201(constB130) | v205(constB130))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32472, 35])).
% 7.58/5.76 tff(32474,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB130) <=> (~((~v157(constB130)) | (~v202(constB130)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB130) <=> (~((~v157(constB130)) | (~v202(constB130))))))),
% 7.58/5.76 inference(rewrite,[status(thm)],[])).
% 7.58/5.76 tff(32475,plain,
% 7.58/5.76 ((v201(constB130) <=> (~((~v202(constB130)) | (~v157(constB130))))) <=> (v201(constB130) <=> (~((~v157(constB130)) | (~v202(constB130)))))),
% 7.58/5.76 inference(rewrite,[status(thm)],[])).
% 7.58/5.76 tff(32476,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB130) <=> (~((~v202(constB130)) | (~v157(constB130)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB130) <=> (~((~v157(constB130)) | (~v202(constB130))))))),
% 7.58/5.76 inference(monotonicity,[status(thm)],[32475])).
% 7.58/5.76 tff(32477,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB130) <=> (~((~v202(constB130)) | (~v157(constB130)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB130) <=> (~((~v157(constB130)) | (~v202(constB130))))))),
% 7.58/5.76 inference(transitivity,[status(thm)],[32476, 32474])).
% 7.58/5.76 tff(32478,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB130) <=> (~((~v202(constB130)) | (~v157(constB130)))))),
% 7.58/5.76 inference(quant_inst,[status(thm)],[])).
% 7.58/5.76 tff(32479,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB130) <=> (~((~v157(constB130)) | (~v202(constB130)))))),
% 7.58/5.76 inference(modus_ponens,[status(thm)],[32478, 32477])).
% 7.58/5.76 tff(32480,plain,
% 7.58/5.76 (v201(constB130) <=> (~((~v157(constB130)) | (~v202(constB130))))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32479, 47])).
% 7.58/5.76 tff(32481,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB130) <=> (~((~v183(constB130)) | (~v203(constB130)))))),
% 7.58/5.76 inference(quant_inst,[status(thm)],[])).
% 7.58/5.76 tff(32482,plain,
% 7.58/5.76 (v202(constB130) <=> (~((~v183(constB130)) | (~v203(constB130))))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32481, 64])).
% 7.58/5.76 tff(32483,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB130) <=> (~((~v185(constB130)) | (~v204(constB130)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB130) <=> (~((~v185(constB130)) | (~v204(constB130))))))),
% 7.58/5.76 inference(rewrite,[status(thm)],[])).
% 7.58/5.76 tff(32484,plain,
% 7.58/5.76 ((v203(constB130) <=> (~((~v204(constB130)) | (~v185(constB130))))) <=> (v203(constB130) <=> (~((~v185(constB130)) | (~v204(constB130)))))),
% 7.58/5.76 inference(rewrite,[status(thm)],[])).
% 7.58/5.76 tff(32485,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB130) <=> (~((~v204(constB130)) | (~v185(constB130)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB130) <=> (~((~v185(constB130)) | (~v204(constB130))))))),
% 7.58/5.76 inference(monotonicity,[status(thm)],[32484])).
% 7.58/5.76 tff(32486,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB130) <=> (~((~v204(constB130)) | (~v185(constB130)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB130) <=> (~((~v185(constB130)) | (~v204(constB130))))))),
% 7.58/5.76 inference(transitivity,[status(thm)],[32485, 32483])).
% 7.58/5.76 tff(32487,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB130) <=> (~((~v204(constB130)) | (~v185(constB130)))))),
% 7.58/5.76 inference(quant_inst,[status(thm)],[])).
% 7.58/5.76 tff(32488,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB130) <=> (~((~v185(constB130)) | (~v204(constB130)))))),
% 7.58/5.76 inference(modus_ponens,[status(thm)],[32487, 32486])).
% 7.58/5.76 tff(32489,plain,
% 7.58/5.76 (v203(constB130) <=> (~((~v185(constB130)) | (~v204(constB130))))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32488, 76])).
% 7.58/5.76 tff(32490,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))),
% 7.58/5.76 inference(quant_inst,[status(thm)],[])).
% 7.58/5.76 tff(32491,plain,
% 7.58/5.76 (v185(constB130) <=> (~((~v39(constB130)) | (~v9(constB130))))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32490, 93])).
% 7.58/5.76 tff(32492,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB130)) <=> v1(constB130))),
% 7.58/5.76 inference(quant_inst,[status(thm)],[])).
% 7.58/5.76 tff(32493,plain,
% 7.58/5.76 ((~v39(constB130)) <=> v1(constB130)),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32492, 102])).
% 7.58/5.76 tff(32494,plain,
% 7.58/5.76 ((~((~v39(constB130)) <=> v1(constB130))) | (~v39(constB130)) | (~v1(constB130))),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32495,plain,
% 7.58/5.76 ((~((~v39(constB130)) <=> v1(constB130))) | (~v39(constB130))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32494, 18627])).
% 7.58/5.76 tff(32496,plain,
% 7.58/5.76 (~v39(constB130)),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32495, 32493])).
% 7.58/5.76 tff(32497,plain,
% 7.58/5.76 (((~v39(constB130)) | (~v9(constB130))) | v39(constB130)),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32498,plain,
% 7.58/5.76 ((~v39(constB130)) | (~v9(constB130))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32497, 32496])).
% 7.58/5.76 tff(32499,plain,
% 7.58/5.76 ((~(v185(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))) | (~v185(constB130)) | (~((~v39(constB130)) | (~v9(constB130))))),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32500,plain,
% 7.58/5.76 ((~(v185(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))) | (~v185(constB130))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32499, 32498])).
% 7.58/5.76 tff(32501,plain,
% 7.58/5.76 (~v185(constB130)),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32500, 32491])).
% 7.58/5.76 tff(32502,plain,
% 7.58/5.76 (((~v185(constB130)) | (~v204(constB130))) | v185(constB130)),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32503,plain,
% 7.58/5.76 ((~v185(constB130)) | (~v204(constB130))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32502, 32501])).
% 7.58/5.76 tff(32504,plain,
% 7.58/5.76 ((~(v203(constB130) <=> (~((~v185(constB130)) | (~v204(constB130)))))) | (~v203(constB130)) | (~((~v185(constB130)) | (~v204(constB130))))),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32505,plain,
% 7.58/5.76 ((~(v203(constB130) <=> (~((~v185(constB130)) | (~v204(constB130)))))) | (~v203(constB130))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32504, 32503])).
% 7.58/5.76 tff(32506,plain,
% 7.58/5.76 (~v203(constB130)),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32505, 32489])).
% 7.58/5.76 tff(32507,plain,
% 7.58/5.76 (((~v183(constB130)) | (~v203(constB130))) | v203(constB130)),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32508,plain,
% 7.58/5.76 ((~v183(constB130)) | (~v203(constB130))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32507, 32506])).
% 7.58/5.76 tff(32509,plain,
% 7.58/5.76 ((~(v202(constB130) <=> (~((~v183(constB130)) | (~v203(constB130)))))) | (~v202(constB130)) | (~((~v183(constB130)) | (~v203(constB130))))),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32510,plain,
% 7.58/5.76 (~v202(constB130)),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32509, 32508, 32482])).
% 7.58/5.76 tff(32511,plain,
% 7.58/5.76 (((~v157(constB130)) | (~v202(constB130))) | v202(constB130)),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32512,plain,
% 7.58/5.76 ((~v157(constB130)) | (~v202(constB130))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32511, 32510])).
% 7.58/5.76 tff(32513,plain,
% 7.58/5.76 ((~(v201(constB130) <=> (~((~v157(constB130)) | (~v202(constB130)))))) | (~v201(constB130)) | (~((~v157(constB130)) | (~v202(constB130))))),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32514,plain,
% 7.58/5.76 (~v201(constB130)),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32513, 32512, 32480])).
% 7.58/5.76 tff(32515,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB130) <=> (~((~v159(constB130)) | (~v202(constB130)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB130) <=> (~((~v159(constB130)) | (~v202(constB130))))))),
% 7.58/5.76 inference(rewrite,[status(thm)],[])).
% 7.58/5.76 tff(32516,plain,
% 7.58/5.76 ((v205(constB130) <=> (~((~v202(constB130)) | (~v159(constB130))))) <=> (v205(constB130) <=> (~((~v159(constB130)) | (~v202(constB130)))))),
% 7.58/5.76 inference(rewrite,[status(thm)],[])).
% 7.58/5.76 tff(32517,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB130) <=> (~((~v202(constB130)) | (~v159(constB130)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB130) <=> (~((~v159(constB130)) | (~v202(constB130))))))),
% 7.58/5.76 inference(monotonicity,[status(thm)],[32516])).
% 7.58/5.76 tff(32518,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB130) <=> (~((~v202(constB130)) | (~v159(constB130)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB130) <=> (~((~v159(constB130)) | (~v202(constB130))))))),
% 7.58/5.76 inference(transitivity,[status(thm)],[32517, 32515])).
% 7.58/5.76 tff(32519,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB130) <=> (~((~v202(constB130)) | (~v159(constB130)))))),
% 7.58/5.76 inference(quant_inst,[status(thm)],[])).
% 7.58/5.76 tff(32520,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB130) <=> (~((~v159(constB130)) | (~v202(constB130)))))),
% 7.58/5.76 inference(modus_ponens,[status(thm)],[32519, 32518])).
% 7.58/5.76 tff(32521,plain,
% 7.58/5.76 (v205(constB130) <=> (~((~v159(constB130)) | (~v202(constB130))))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32520, 138])).
% 7.58/5.76 tff(32522,plain,
% 7.58/5.76 (((~v159(constB130)) | (~v202(constB130))) | v202(constB130)),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32523,plain,
% 7.58/5.76 ((~v159(constB130)) | (~v202(constB130))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32522, 32510])).
% 7.58/5.76 tff(32524,plain,
% 7.58/5.76 ((~(v205(constB130) <=> (~((~v159(constB130)) | (~v202(constB130)))))) | (~v205(constB130)) | (~((~v159(constB130)) | (~v202(constB130))))),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32525,plain,
% 7.58/5.76 (~v205(constB130)),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32524, 32523, 32521])).
% 7.58/5.76 tff(32526,plain,
% 7.58/5.76 ((~(v201(constB130) | v205(constB130))) | v201(constB130) | v205(constB130)),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32527,plain,
% 7.58/5.76 (~(v201(constB130) | v205(constB130))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32526, 32525, 32514])).
% 7.58/5.76 tff(32528,plain,
% 7.58/5.76 ((~(v200(constB130) <=> (v201(constB130) | v205(constB130)))) | (~v200(constB130)) | (v201(constB130) | v205(constB130))),
% 7.58/5.76 inference(tautology,[status(thm)],[])).
% 7.58/5.76 tff(32529,plain,
% 7.58/5.76 ((~(v200(constB130) <=> (v201(constB130) | v205(constB130)))) | (~v200(constB130))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32528, 32527])).
% 7.58/5.76 tff(32530,plain,
% 7.58/5.76 (~v200(constB130)),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32529, 32473])).
% 7.58/5.76 tff(32531,plain,
% 7.58/5.76 ($false),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32530, 32471])).
% 7.58/5.76 tff(32532,plain,(~(constB130 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.58/5.76 tff(32533,assumption,(constB115 = VarCurr!0), introduced(assumption)).
% 7.58/5.76 tff(32534,plain,
% 7.58/5.76 (v200(constB115) <=> v200(VarCurr!0)),
% 7.58/5.76 inference(monotonicity,[status(thm)],[32533])).
% 7.58/5.76 tff(32535,plain,
% 7.58/5.76 (v200(VarCurr!0) <=> v200(constB115)),
% 7.58/5.76 inference(symmetry,[status(thm)],[32534])).
% 7.58/5.76 tff(32536,plain,
% 7.58/5.76 (v200(constB115)),
% 7.58/5.76 inference(modus_ponens,[status(thm)],[27, 32535])).
% 7.58/5.76 tff(32537,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB115) <=> (v201(constB115) | v205(constB115)))),
% 7.58/5.76 inference(quant_inst,[status(thm)],[])).
% 7.58/5.76 tff(32538,plain,
% 7.58/5.76 (v200(constB115) <=> (v201(constB115) | v205(constB115))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32537, 35])).
% 7.58/5.76 tff(32539,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB115) <=> (~((~v157(constB115)) | (~v202(constB115)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB115) <=> (~((~v157(constB115)) | (~v202(constB115))))))),
% 7.58/5.76 inference(rewrite,[status(thm)],[])).
% 7.58/5.76 tff(32540,plain,
% 7.58/5.76 ((v201(constB115) <=> (~((~v202(constB115)) | (~v157(constB115))))) <=> (v201(constB115) <=> (~((~v157(constB115)) | (~v202(constB115)))))),
% 7.58/5.76 inference(rewrite,[status(thm)],[])).
% 7.58/5.76 tff(32541,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB115) <=> (~((~v202(constB115)) | (~v157(constB115)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB115) <=> (~((~v157(constB115)) | (~v202(constB115))))))),
% 7.58/5.76 inference(monotonicity,[status(thm)],[32540])).
% 7.58/5.76 tff(32542,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB115) <=> (~((~v202(constB115)) | (~v157(constB115)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB115) <=> (~((~v157(constB115)) | (~v202(constB115))))))),
% 7.58/5.76 inference(transitivity,[status(thm)],[32541, 32539])).
% 7.58/5.76 tff(32543,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB115) <=> (~((~v202(constB115)) | (~v157(constB115)))))),
% 7.58/5.76 inference(quant_inst,[status(thm)],[])).
% 7.58/5.76 tff(32544,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB115) <=> (~((~v157(constB115)) | (~v202(constB115)))))),
% 7.58/5.76 inference(modus_ponens,[status(thm)],[32543, 32542])).
% 7.58/5.76 tff(32545,plain,
% 7.58/5.76 (v201(constB115) <=> (~((~v157(constB115)) | (~v202(constB115))))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32544, 47])).
% 7.58/5.76 tff(32546,plain,
% 7.58/5.76 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB115) <=> v192(constB115))),
% 7.58/5.76 inference(quant_inst,[status(thm)],[])).
% 7.58/5.76 tff(32547,plain,
% 7.58/5.76 (v157(constB115) <=> v192(constB115)),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32546, 15407])).
% 7.58/5.76 tff(32548,plain,
% 7.58/5.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB114, constB115)) | (v192(constB115) <=> v190(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB114, constB115)) | (v192(constB115) <=> v190(constB114)))),
% 7.58/5.76 inference(rewrite,[status(thm)],[])).
% 7.58/5.76 tff(32549,plain,
% 7.58/5.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB114, constB115)) | (v192(constB115) <=> v190(constB114)))),
% 7.58/5.76 inference(quant_inst,[status(thm)],[])).
% 7.58/5.76 tff(32550,plain,
% 7.58/5.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB114, constB115)) | (v192(constB115) <=> v190(constB114))),
% 7.58/5.76 inference(modus_ponens,[status(thm)],[32549, 32548])).
% 7.58/5.76 tff(32551,plain,
% 7.58/5.76 (v192(constB115) <=> v190(constB114)),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32550, 855, 15419])).
% 7.58/5.76 tff(32552,plain,
% 7.58/5.76 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB114) <=> (v193(constB114) | v196(constB114)))),
% 7.58/5.76 inference(quant_inst,[status(thm)],[])).
% 7.58/5.76 tff(32553,plain,
% 7.58/5.76 (v190(constB114) <=> (v193(constB114) | v196(constB114))),
% 7.58/5.76 inference(unit_resolution,[status(thm)],[32552, 15430])).
% 7.58/5.76 tff(32554,plain,
% 7.58/5.76 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB114) <=> (~((~v157(constB114)) | (~v194(constB114)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB114) <=> (~((~v157(constB114)) | (~v194(constB114))))))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32555,plain,
% 7.58/5.77 ((v193(constB114) <=> (~((~v194(constB114)) | (~v157(constB114))))) <=> (v193(constB114) <=> (~((~v157(constB114)) | (~v194(constB114)))))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32556,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB114) <=> (~((~v194(constB114)) | (~v157(constB114)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB114) <=> (~((~v157(constB114)) | (~v194(constB114))))))),
% 7.58/5.77 inference(monotonicity,[status(thm)],[32555])).
% 7.58/5.77 tff(32557,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB114) <=> (~((~v194(constB114)) | (~v157(constB114)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB114) <=> (~((~v157(constB114)) | (~v194(constB114))))))),
% 7.58/5.77 inference(transitivity,[status(thm)],[32556, 32554])).
% 7.58/5.77 tff(32558,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB114) <=> (~((~v194(constB114)) | (~v157(constB114)))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32559,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB114) <=> (~((~v157(constB114)) | (~v194(constB114)))))),
% 7.58/5.77 inference(modus_ponens,[status(thm)],[32558, 32557])).
% 7.58/5.77 tff(32560,plain,
% 7.58/5.77 (v193(constB114) <=> (~((~v157(constB114)) | (~v194(constB114))))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32559, 15442])).
% 7.58/5.77 tff(32561,plain,
% 7.58/5.77 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB114) <=> v192(constB114))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32562,plain,
% 7.58/5.77 (v157(constB114) <=> v192(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32561, 15407])).
% 7.58/5.77 tff(32563,plain,
% 7.58/5.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB113, constB114)) | (v192(constB114) <=> v190(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB113, constB114)) | (v192(constB114) <=> v190(constB113)))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32564,plain,
% 7.58/5.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB113, constB114)) | (v192(constB114) <=> v190(constB113)))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32565,plain,
% 7.58/5.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB113, constB114)) | (v192(constB114) <=> v190(constB113))),
% 7.58/5.77 inference(modus_ponens,[status(thm)],[32564, 32563])).
% 7.58/5.77 tff(32566,plain,
% 7.58/5.77 (v192(constB114) <=> v190(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32565, 891, 15419])).
% 7.58/5.77 tff(32567,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB113) <=> (v193(constB113) | v196(constB113)))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32568,plain,
% 7.58/5.77 (v190(constB113) <=> (v193(constB113) | v196(constB113))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32567, 15430])).
% 7.58/5.77 tff(32569,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB113) <=> (~((~v159(constB113)) | (~v194(constB113)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB113) <=> (~((~v159(constB113)) | (~v194(constB113))))))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32570,plain,
% 7.58/5.77 ((v196(constB113) <=> (~((~v194(constB113)) | (~v159(constB113))))) <=> (v196(constB113) <=> (~((~v159(constB113)) | (~v194(constB113)))))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32571,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB113) <=> (~((~v194(constB113)) | (~v159(constB113)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB113) <=> (~((~v159(constB113)) | (~v194(constB113))))))),
% 7.58/5.77 inference(monotonicity,[status(thm)],[32570])).
% 7.58/5.77 tff(32572,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB113) <=> (~((~v194(constB113)) | (~v159(constB113)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB113) <=> (~((~v159(constB113)) | (~v194(constB113))))))),
% 7.58/5.77 inference(transitivity,[status(thm)],[32571, 32569])).
% 7.58/5.77 tff(32573,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB113) <=> (~((~v194(constB113)) | (~v159(constB113)))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32574,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB113) <=> (~((~v159(constB113)) | (~v194(constB113)))))),
% 7.58/5.77 inference(modus_ponens,[status(thm)],[32573, 32572])).
% 7.58/5.77 tff(32575,plain,
% 7.58/5.77 (v196(constB113) <=> (~((~v159(constB113)) | (~v194(constB113))))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32574, 15467])).
% 7.58/5.77 tff(32576,plain,
% 7.58/5.77 (((~v159(constB113)) | (~v194(constB113))) | v159(constB113)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32577,plain,
% 7.58/5.77 ((~v159(constB113)) | (~v194(constB113))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32576, 31477])).
% 7.58/5.77 tff(32578,plain,
% 7.58/5.77 ((~(v196(constB113) <=> (~((~v159(constB113)) | (~v194(constB113)))))) | (~v196(constB113)) | (~((~v159(constB113)) | (~v194(constB113))))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32579,plain,
% 7.58/5.77 (~v196(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32578, 32577, 32575])).
% 7.58/5.77 tff(32580,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB113) <=> (~((~v157(constB113)) | (~v194(constB113)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB113) <=> (~((~v157(constB113)) | (~v194(constB113))))))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32581,plain,
% 7.58/5.77 ((v193(constB113) <=> (~((~v194(constB113)) | (~v157(constB113))))) <=> (v193(constB113) <=> (~((~v157(constB113)) | (~v194(constB113)))))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32582,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB113) <=> (~((~v194(constB113)) | (~v157(constB113)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB113) <=> (~((~v157(constB113)) | (~v194(constB113))))))),
% 7.58/5.77 inference(monotonicity,[status(thm)],[32581])).
% 7.58/5.77 tff(32583,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB113) <=> (~((~v194(constB113)) | (~v157(constB113)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB113) <=> (~((~v157(constB113)) | (~v194(constB113))))))),
% 7.58/5.77 inference(transitivity,[status(thm)],[32582, 32580])).
% 7.58/5.77 tff(32584,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB113) <=> (~((~v194(constB113)) | (~v157(constB113)))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32585,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB113) <=> (~((~v157(constB113)) | (~v194(constB113)))))),
% 7.58/5.77 inference(modus_ponens,[status(thm)],[32584, 32583])).
% 7.58/5.77 tff(32586,plain,
% 7.58/5.77 (v193(constB113) <=> (~((~v157(constB113)) | (~v194(constB113))))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32585, 15442])).
% 7.58/5.77 tff(32587,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB113)) <=> v195(constB113))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32588,plain,
% 7.58/5.77 ((~v194(constB113)) <=> v195(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32587, 15527])).
% 7.58/5.77 tff(32589,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB113) <=> (v185(constB113) | v26(constB113)))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32590,plain,
% 7.58/5.77 (v195(constB113) <=> (v185(constB113) | v26(constB113))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32589, 15536])).
% 7.58/5.77 tff(32591,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB113) <=> (~((~v39(constB113)) | (~v9(constB113)))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32592,plain,
% 7.58/5.77 (v185(constB113) <=> (~((~v39(constB113)) | (~v9(constB113))))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32591, 93])).
% 7.58/5.77 tff(32593,plain,
% 7.58/5.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113)))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32594,plain,
% 7.58/5.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113)))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32595,plain,
% 7.58/5.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113))),
% 7.58/5.77 inference(modus_ponens,[status(thm)],[32594, 32593])).
% 7.58/5.77 tff(32596,plain,
% 7.58/5.77 (v13(constB114) <=> v9(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32595, 891, 15550])).
% 7.58/5.77 tff(32597,plain,
% 7.58/5.77 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB114) <=> v13(constB114))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32598,plain,
% 7.58/5.77 (v6(constB114) <=> v13(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32597, 15564])).
% 7.58/5.77 tff(32599,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB114)) <=> v6(constB114))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32600,plain,
% 7.58/5.77 ((~v21(constB114)) <=> v6(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32599, 15573])).
% 7.58/5.77 tff(32601,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB114) <=> (v20(constB114) | v21(constB114)))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32602,plain,
% 7.58/5.77 (v19(constB114) <=> (v20(constB114) | v21(constB114))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32601, 15582])).
% 7.58/5.77 tff(32603,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114)))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32604,plain,
% 7.58/5.77 (v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114))))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32603, 15594])).
% 7.58/5.77 tff(32605,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB114)) <=> v18(constB114))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32606,plain,
% 7.58/5.77 ((~v4(constB114)) <=> v18(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32605, 15603])).
% 7.58/5.77 tff(32607,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB114)),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32608,plain,
% 7.58/5.77 (v4(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32607, 15612])).
% 7.58/5.77 tff(32609,plain,
% 7.58/5.77 ((~((~v4(constB114)) <=> v18(constB114))) | (~v4(constB114)) | (~v18(constB114))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32610,plain,
% 7.58/5.77 (~v18(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32609, 32608, 32606])).
% 7.58/5.77 tff(32611,plain,
% 7.58/5.77 ((~(v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114)))))) | v18(constB114) | ((~v19(constB114)) | (~v22(constB114)))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32612,plain,
% 7.58/5.77 ((~v19(constB114)) | (~v22(constB114))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32611, 32610, 32604])).
% 7.58/5.77 tff(32613,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB114) <=> (v1(constB114) | v6(constB114)))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32614,plain,
% 7.58/5.77 (v22(constB114) <=> (v1(constB114) | v6(constB114))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32613, 15625])).
% 7.58/5.77 tff(32615,plain,
% 7.58/5.77 ((v1(constB114) | v6(constB114)) | (~v1(constB114))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32616,plain,
% 7.58/5.77 (v1(constB114) | v6(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32615, 107])).
% 7.58/5.77 tff(32617,plain,
% 7.58/5.77 ((~(v22(constB114) <=> (v1(constB114) | v6(constB114)))) | v22(constB114) | (~(v1(constB114) | v6(constB114)))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32618,plain,
% 7.58/5.77 ((~(v22(constB114) <=> (v1(constB114) | v6(constB114)))) | v22(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32617, 32616])).
% 7.58/5.77 tff(32619,plain,
% 7.58/5.77 (v22(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32618, 32614])).
% 7.58/5.77 tff(32620,plain,
% 7.58/5.77 ((~((~v19(constB114)) | (~v22(constB114)))) | (~v19(constB114)) | (~v22(constB114))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32621,plain,
% 7.58/5.77 ((~((~v19(constB114)) | (~v22(constB114)))) | (~v19(constB114))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32620, 32619])).
% 7.58/5.77 tff(32622,plain,
% 7.58/5.77 (~v19(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32621, 32612])).
% 7.58/5.77 tff(32623,plain,
% 7.58/5.77 ((~(v19(constB114) <=> (v20(constB114) | v21(constB114)))) | v19(constB114) | (~(v20(constB114) | v21(constB114)))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32624,plain,
% 7.58/5.77 (~(v20(constB114) | v21(constB114))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32623, 32622, 32602])).
% 7.58/5.77 tff(32625,plain,
% 7.58/5.77 ((v20(constB114) | v21(constB114)) | (~v21(constB114))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32626,plain,
% 7.58/5.77 (~v21(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32625, 32624])).
% 7.58/5.77 tff(32627,plain,
% 7.58/5.77 ((~((~v21(constB114)) <=> v6(constB114))) | v21(constB114) | v6(constB114)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32628,plain,
% 7.58/5.77 (v6(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32627, 32626, 32600])).
% 7.58/5.77 tff(32629,plain,
% 7.58/5.77 ((~(v6(constB114) <=> v13(constB114))) | (~v6(constB114)) | v13(constB114)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32630,plain,
% 7.58/5.77 (v13(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32629, 32628, 32598])).
% 7.58/5.77 tff(32631,plain,
% 7.58/5.77 ((~(v13(constB114) <=> v9(constB113))) | (~v13(constB114)) | v9(constB113)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32632,plain,
% 7.58/5.77 (v9(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32631, 32630, 32596])).
% 7.58/5.77 tff(32633,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB113)) <=> v1(constB113))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32634,plain,
% 7.58/5.77 ((~v39(constB113)) <=> v1(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32633, 102])).
% 7.58/5.77 tff(32635,plain,
% 7.58/5.77 ((~((~v39(constB113)) <=> v1(constB113))) | v39(constB113) | v1(constB113)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32636,plain,
% 7.58/5.77 ((~((~v39(constB113)) <=> v1(constB113))) | v39(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32635, 935])).
% 7.58/5.77 tff(32637,plain,
% 7.58/5.77 (v39(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32636, 32634])).
% 7.58/5.77 tff(32638,plain,
% 7.58/5.77 ((~((~v39(constB113)) | (~v9(constB113)))) | (~v39(constB113)) | (~v9(constB113))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32639,plain,
% 7.58/5.77 ((~((~v39(constB113)) | (~v9(constB113)))) | (~v9(constB113))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32638, 32637])).
% 7.58/5.77 tff(32640,plain,
% 7.58/5.77 (~((~v39(constB113)) | (~v9(constB113)))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32639, 32632])).
% 7.58/5.77 tff(32641,plain,
% 7.58/5.77 ((~(v185(constB113) <=> (~((~v39(constB113)) | (~v9(constB113)))))) | v185(constB113) | ((~v39(constB113)) | (~v9(constB113)))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32642,plain,
% 7.58/5.77 (v185(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32641, 32640, 32592])).
% 7.58/5.77 tff(32643,plain,
% 7.58/5.77 ((v185(constB113) | v26(constB113)) | (~v185(constB113))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32644,plain,
% 7.58/5.77 (v185(constB113) | v26(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32643, 32642])).
% 7.58/5.77 tff(32645,plain,
% 7.58/5.77 ((~(v195(constB113) <=> (v185(constB113) | v26(constB113)))) | v195(constB113) | (~(v185(constB113) | v26(constB113)))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32646,plain,
% 7.58/5.77 (v195(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32645, 32644, 32590])).
% 7.58/5.77 tff(32647,plain,
% 7.58/5.77 ((~((~v194(constB113)) <=> v195(constB113))) | (~v194(constB113)) | (~v195(constB113))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32648,plain,
% 7.58/5.77 (~v194(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32647, 32646, 32588])).
% 7.58/5.77 tff(32649,plain,
% 7.58/5.77 (((~v157(constB113)) | (~v194(constB113))) | v194(constB113)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32650,plain,
% 7.58/5.77 ((~v157(constB113)) | (~v194(constB113))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32649, 32648])).
% 7.58/5.77 tff(32651,plain,
% 7.58/5.77 ((~(v193(constB113) <=> (~((~v157(constB113)) | (~v194(constB113)))))) | (~v193(constB113)) | (~((~v157(constB113)) | (~v194(constB113))))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32652,plain,
% 7.58/5.77 (~v193(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32651, 32650, 32586])).
% 7.58/5.77 tff(32653,plain,
% 7.58/5.77 ((~(v193(constB113) | v196(constB113))) | v193(constB113) | v196(constB113)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32654,plain,
% 7.58/5.77 (~(v193(constB113) | v196(constB113))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32653, 32652, 32579])).
% 7.58/5.77 tff(32655,plain,
% 7.58/5.77 ((~(v190(constB113) <=> (v193(constB113) | v196(constB113)))) | (~v190(constB113)) | (v193(constB113) | v196(constB113))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32656,plain,
% 7.58/5.77 (~v190(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32655, 32654, 32568])).
% 7.58/5.77 tff(32657,plain,
% 7.58/5.77 ((~(v192(constB114) <=> v190(constB113))) | (~v192(constB114)) | v190(constB113)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32658,plain,
% 7.58/5.77 (~v192(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32657, 32656, 32566])).
% 7.58/5.77 tff(32659,plain,
% 7.58/5.77 ((~(v157(constB114) <=> v192(constB114))) | (~v157(constB114)) | v192(constB114)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32660,plain,
% 7.58/5.77 (~v157(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32659, 32658, 32562])).
% 7.58/5.77 tff(32661,plain,
% 7.58/5.77 (((~v157(constB114)) | (~v194(constB114))) | v157(constB114)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32662,plain,
% 7.58/5.77 ((~v157(constB114)) | (~v194(constB114))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32661, 32660])).
% 7.58/5.77 tff(32663,plain,
% 7.58/5.77 ((~(v193(constB114) <=> (~((~v157(constB114)) | (~v194(constB114)))))) | (~v193(constB114)) | (~((~v157(constB114)) | (~v194(constB114))))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32664,plain,
% 7.58/5.77 (~v193(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32663, 32662, 32560])).
% 7.58/5.77 tff(32665,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB114) <=> (~((~v159(constB114)) | (~v194(constB114)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB114) <=> (~((~v159(constB114)) | (~v194(constB114))))))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32666,plain,
% 7.58/5.77 ((v196(constB114) <=> (~((~v194(constB114)) | (~v159(constB114))))) <=> (v196(constB114) <=> (~((~v159(constB114)) | (~v194(constB114)))))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32667,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB114) <=> (~((~v194(constB114)) | (~v159(constB114)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB114) <=> (~((~v159(constB114)) | (~v194(constB114))))))),
% 7.58/5.77 inference(monotonicity,[status(thm)],[32666])).
% 7.58/5.77 tff(32668,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB114) <=> (~((~v194(constB114)) | (~v159(constB114)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB114) <=> (~((~v159(constB114)) | (~v194(constB114))))))),
% 7.58/5.77 inference(transitivity,[status(thm)],[32667, 32665])).
% 7.58/5.77 tff(32669,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB114) <=> (~((~v194(constB114)) | (~v159(constB114)))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32670,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB114) <=> (~((~v159(constB114)) | (~v194(constB114)))))),
% 7.58/5.77 inference(modus_ponens,[status(thm)],[32669, 32668])).
% 7.58/5.77 tff(32671,plain,
% 7.58/5.77 (v196(constB114) <=> (~((~v159(constB114)) | (~v194(constB114))))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32670, 15467])).
% 7.58/5.77 tff(32672,plain,
% 7.58/5.77 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB114) <=> v182(constB114))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32673,plain,
% 7.58/5.77 (v159(constB114) <=> v182(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32672, 15113])).
% 7.58/5.77 tff(32674,plain,
% 7.58/5.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB113, constB114)) | (v182(constB114) <=> v180(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB113, constB114)) | (v182(constB114) <=> v180(constB113)))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32675,plain,
% 7.58/5.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB113, constB114)) | (v182(constB114) <=> v180(constB113)))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32676,plain,
% 7.58/5.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB113, constB114)) | (v182(constB114) <=> v180(constB113))),
% 7.58/5.77 inference(modus_ponens,[status(thm)],[32675, 32674])).
% 7.58/5.77 tff(32677,plain,
% 7.58/5.77 (v182(constB114) <=> v180(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32676, 891, 15125])).
% 7.58/5.77 tff(32678,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB113) <=> (~((~v183(constB113)) | (~v184(constB113)))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32679,plain,
% 7.58/5.77 (v180(constB113) <=> (~((~v183(constB113)) | (~v184(constB113))))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32678, 15139])).
% 7.58/5.77 tff(32680,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB113) <=> (~((~v185(constB113)) | (~v161(constB113)))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32681,plain,
% 7.58/5.77 (v184(constB113) <=> (~((~v185(constB113)) | (~v161(constB113))))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32680, 15151])).
% 7.58/5.77 tff(32682,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB113) <=> v163(constB113))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32683,plain,
% 7.58/5.77 (v161(constB113) <=> v163(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32682, 15701])).
% 7.58/5.77 tff(32684,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB113) <=> (v145(constB113) | v167(constB113)))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32685,plain,
% 7.58/5.77 (v166(constB113) <=> (v145(constB113) | v167(constB113))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32684, 15713])).
% 7.58/5.77 tff(32686,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB113) <=> (v146(constB113) | v147(constB113)))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32687,plain,
% 7.58/5.77 (v145(constB113) <=> (v146(constB113) | v147(constB113))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32686, 25196])).
% 7.58/5.77 tff(32688,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB113) <=> (~(v88(constB113, 1) | (~v88(constB113, 2)) | v88(constB113, 0))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB113) <=> (~(v88(constB113, 1) | (~v88(constB113, 2)) | v88(constB113, 0)))))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32689,plain,
% 7.58/5.77 ((v146(constB113) <=> (~(v88(constB113, 0) | v88(constB113, 1) | (~v88(constB113, 2))))) <=> (v146(constB113) <=> (~(v88(constB113, 1) | (~v88(constB113, 2)) | v88(constB113, 0))))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32690,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB113) <=> (~(v88(constB113, 0) | v88(constB113, 1) | (~v88(constB113, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB113) <=> (~(v88(constB113, 1) | (~v88(constB113, 2)) | v88(constB113, 0)))))),
% 7.58/5.77 inference(monotonicity,[status(thm)],[32689])).
% 7.58/5.77 tff(32691,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB113) <=> (~(v88(constB113, 0) | v88(constB113, 1) | (~v88(constB113, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB113) <=> (~(v88(constB113, 1) | (~v88(constB113, 2)) | v88(constB113, 0)))))),
% 7.58/5.77 inference(transitivity,[status(thm)],[32690, 32688])).
% 7.58/5.77 tff(32692,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB113) <=> (~(v88(constB113, 0) | v88(constB113, 1) | (~v88(constB113, 2)))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32693,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB113) <=> (~(v88(constB113, 1) | (~v88(constB113, 2)) | v88(constB113, 0))))),
% 7.58/5.77 inference(modus_ponens,[status(thm)],[32692, 32691])).
% 7.58/5.77 tff(32694,plain,
% 7.58/5.77 (v146(constB113) <=> (~(v88(constB113, 1) | (~v88(constB113, 2)) | v88(constB113, 0)))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32693, 25211])).
% 7.58/5.77 tff(32695,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB113, 1)) <=> v90(constB113, 1)) | ((~v88(constB113, 2)) <=> v90(constB113, 2)) | ((~v88(constB113, 0)) <=> v90(constB113, 0))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32696,plain,
% 7.58/5.77 (~(((~v88(constB113, 1)) <=> v90(constB113, 1)) | ((~v88(constB113, 2)) <=> v90(constB113, 2)) | ((~v88(constB113, 0)) <=> v90(constB113, 0)))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32695, 256])).
% 7.58/5.77 tff(32697,plain,
% 7.58/5.77 ((((~v88(constB113, 1)) <=> v90(constB113, 1)) | ((~v88(constB113, 2)) <=> v90(constB113, 2)) | ((~v88(constB113, 0)) <=> v90(constB113, 0))) | (~((~v88(constB113, 2)) <=> v90(constB113, 2)))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32698,plain,
% 7.58/5.77 (~((~v88(constB113, 2)) <=> v90(constB113, 2))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32697, 32696])).
% 7.58/5.77 tff(32699,plain,
% 7.58/5.77 (((~v88(constB113, 2)) <=> v90(constB113, 2)) | v88(constB113, 2) | (~v90(constB113, 2))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32700,plain,
% 7.58/5.77 (v88(constB113, 2)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32699, 13692, 32698])).
% 7.58/5.77 tff(32701,plain,
% 7.58/5.77 ((((~v88(constB113, 1)) <=> v90(constB113, 1)) | ((~v88(constB113, 2)) <=> v90(constB113, 2)) | ((~v88(constB113, 0)) <=> v90(constB113, 0))) | (~((~v88(constB113, 0)) <=> v90(constB113, 0)))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32702,plain,
% 7.58/5.77 (~((~v88(constB113, 0)) <=> v90(constB113, 0))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32701, 32696])).
% 7.58/5.77 tff(32703,plain,
% 7.58/5.77 (((~v88(constB113, 0)) <=> v90(constB113, 0)) | (~v88(constB113, 0)) | v90(constB113, 0)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32704,plain,
% 7.58/5.77 (~v88(constB113, 0)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32703, 13710, 32702])).
% 7.58/5.77 tff(32705,plain,
% 7.58/5.77 ((((~v88(constB113, 1)) <=> v90(constB113, 1)) | ((~v88(constB113, 2)) <=> v90(constB113, 2)) | ((~v88(constB113, 0)) <=> v90(constB113, 0))) | (~((~v88(constB113, 1)) <=> v90(constB113, 1)))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32706,plain,
% 7.58/5.77 (~((~v88(constB113, 1)) <=> v90(constB113, 1))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32705, 32696])).
% 7.58/5.77 tff(32707,plain,
% 7.58/5.77 (((~v88(constB113, 1)) <=> v90(constB113, 1)) | (~v88(constB113, 1)) | v90(constB113, 1)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32708,plain,
% 7.58/5.77 (~v88(constB113, 1)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32707, 13728, 32706])).
% 7.58/5.77 tff(32709,plain,
% 7.58/5.77 ((~(v88(constB113, 1) | (~v88(constB113, 2)) | v88(constB113, 0))) | v88(constB113, 1) | (~v88(constB113, 2)) | v88(constB113, 0)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32710,plain,
% 7.58/5.77 (~(v88(constB113, 1) | (~v88(constB113, 2)) | v88(constB113, 0))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32709, 32708, 32704, 32700])).
% 7.58/5.77 tff(32711,plain,
% 7.58/5.77 ((~(v146(constB113) <=> (~(v88(constB113, 1) | (~v88(constB113, 2)) | v88(constB113, 0))))) | v146(constB113) | (v88(constB113, 1) | (~v88(constB113, 2)) | v88(constB113, 0))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32712,plain,
% 7.58/5.77 (v146(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32711, 32710, 32694])).
% 7.58/5.77 tff(32713,plain,
% 7.58/5.77 ((v146(constB113) | v147(constB113)) | (~v146(constB113))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32714,plain,
% 7.58/5.77 (v146(constB113) | v147(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32713, 32712])).
% 7.58/5.77 tff(32715,plain,
% 7.58/5.77 ((~(v145(constB113) <=> (v146(constB113) | v147(constB113)))) | v145(constB113) | (~(v146(constB113) | v147(constB113)))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32716,plain,
% 7.58/5.77 (v145(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32715, 32714, 32687])).
% 7.58/5.77 tff(32717,plain,
% 7.58/5.77 ((v145(constB113) | v167(constB113)) | (~v145(constB113))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32718,plain,
% 7.58/5.77 (v145(constB113) | v167(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32717, 32716])).
% 7.58/5.77 tff(32719,plain,
% 7.58/5.77 ((~(v166(constB113) <=> (v145(constB113) | v167(constB113)))) | v166(constB113) | (~(v145(constB113) | v167(constB113)))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32720,plain,
% 7.58/5.77 ((~(v166(constB113) <=> (v145(constB113) | v167(constB113)))) | v166(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32719, 32718])).
% 7.58/5.77 tff(32721,plain,
% 7.58/5.77 (v166(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32720, 32685])).
% 7.58/5.77 tff(32722,plain,
% 7.58/5.77 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB113)) | (v163(constB113) <=> v170(constB113)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB113)) | (v163(constB113) <=> v170(constB113)))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32723,plain,
% 7.58/5.77 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB113)) | (v163(constB113) <=> v170(constB113)))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32724,plain,
% 7.58/5.77 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB113)) | (v163(constB113) <=> v170(constB113))),
% 7.58/5.77 inference(modus_ponens,[status(thm)],[32723, 32722])).
% 7.58/5.77 tff(32725,plain,
% 7.58/5.77 ((~v166(constB113)) | (v163(constB113) <=> v170(constB113))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32724, 15777])).
% 7.58/5.77 tff(32726,plain,
% 7.58/5.77 (v163(constB113) <=> v170(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32725, 32721])).
% 7.58/5.77 tff(32727,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB113) <=> (~(v88(constB113, 0) | v88(constB113, 1) | v88(constB113, 2))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32728,plain,
% 7.58/5.77 (v139(constB113) <=> (~(v88(constB113, 0) | v88(constB113, 1) | v88(constB113, 2)))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32727, 15795])).
% 7.58/5.77 tff(32729,plain,
% 7.58/5.77 ((v88(constB113, 0) | v88(constB113, 1) | v88(constB113, 2)) | (~v88(constB113, 2))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32730,plain,
% 7.58/5.77 (v88(constB113, 0) | v88(constB113, 1) | v88(constB113, 2)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32729, 32700])).
% 7.58/5.77 tff(32731,plain,
% 7.58/5.77 ((~(v139(constB113) <=> (~(v88(constB113, 0) | v88(constB113, 1) | v88(constB113, 2))))) | (~v139(constB113)) | (~(v88(constB113, 0) | v88(constB113, 1) | v88(constB113, 2)))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32732,plain,
% 7.58/5.77 (~v139(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32731, 32730, 32728])).
% 7.58/5.77 tff(32733,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB113) <=> (~(v88(constB113, 1) | v88(constB113, 2) | (~v88(constB113, 0)))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32734,plain,
% 7.58/5.77 (v140(constB113) <=> (~(v88(constB113, 1) | v88(constB113, 2) | (~v88(constB113, 0))))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32733, 15814])).
% 7.58/5.77 tff(32735,plain,
% 7.58/5.77 ((v88(constB113, 1) | v88(constB113, 2) | (~v88(constB113, 0))) | (~v88(constB113, 2))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32736,plain,
% 7.58/5.77 (v88(constB113, 1) | v88(constB113, 2) | (~v88(constB113, 0))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32735, 32700])).
% 7.58/5.77 tff(32737,plain,
% 7.58/5.77 ((~(v140(constB113) <=> (~(v88(constB113, 1) | v88(constB113, 2) | (~v88(constB113, 0)))))) | (~v140(constB113)) | (~(v88(constB113, 1) | v88(constB113, 2) | (~v88(constB113, 0))))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32738,plain,
% 7.58/5.77 (~v140(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32737, 32736, 32734])).
% 7.58/5.77 tff(32739,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB113) | v139(constB113) | (~v170(constB113)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB113) | v139(constB113) | (~v170(constB113)))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32740,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB113) | v139(constB113) | (~v170(constB113)))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32741,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB113) | v139(constB113) | (~v170(constB113))),
% 7.58/5.77 inference(modus_ponens,[status(thm)],[32740, 32739])).
% 7.58/5.77 tff(32742,plain,
% 7.58/5.77 (v140(constB113) | v139(constB113) | (~v170(constB113))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32741, 15833])).
% 7.58/5.77 tff(32743,plain,
% 7.58/5.77 (~v170(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32742, 32738, 32732])).
% 7.58/5.77 tff(32744,plain,
% 7.58/5.77 ((~(v163(constB113) <=> v170(constB113))) | (~v163(constB113)) | v170(constB113)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32745,plain,
% 7.58/5.77 ((~(v163(constB113) <=> v170(constB113))) | (~v163(constB113))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32744, 32743])).
% 7.58/5.77 tff(32746,plain,
% 7.58/5.77 (~v163(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32745, 32726])).
% 7.58/5.77 tff(32747,plain,
% 7.58/5.77 ((~(v161(constB113) <=> v163(constB113))) | (~v161(constB113)) | v163(constB113)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32748,plain,
% 7.58/5.77 ((~(v161(constB113) <=> v163(constB113))) | (~v161(constB113))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32747, 32746])).
% 7.58/5.77 tff(32749,plain,
% 7.58/5.77 (~v161(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32748, 32683])).
% 7.58/5.77 tff(32750,plain,
% 7.58/5.77 (((~v185(constB113)) | (~v161(constB113))) | v161(constB113)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32751,plain,
% 7.58/5.77 ((~v185(constB113)) | (~v161(constB113))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32750, 32749])).
% 7.58/5.77 tff(32752,plain,
% 7.58/5.77 ((~(v184(constB113) <=> (~((~v185(constB113)) | (~v161(constB113)))))) | (~v184(constB113)) | (~((~v185(constB113)) | (~v161(constB113))))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32753,plain,
% 7.58/5.77 (~v184(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32752, 32751, 32681])).
% 7.58/5.77 tff(32754,plain,
% 7.58/5.77 (((~v183(constB113)) | (~v184(constB113))) | v184(constB113)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32755,plain,
% 7.58/5.77 ((~v183(constB113)) | (~v184(constB113))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32754, 32753])).
% 7.58/5.77 tff(32756,plain,
% 7.58/5.77 ((~(v180(constB113) <=> (~((~v183(constB113)) | (~v184(constB113)))))) | (~v180(constB113)) | (~((~v183(constB113)) | (~v184(constB113))))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32757,plain,
% 7.58/5.77 (~v180(constB113)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32756, 32755, 32679])).
% 7.58/5.77 tff(32758,plain,
% 7.58/5.77 ((~(v182(constB114) <=> v180(constB113))) | (~v182(constB114)) | v180(constB113)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32759,plain,
% 7.58/5.77 (~v182(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32758, 32757, 32677])).
% 7.58/5.77 tff(32760,plain,
% 7.58/5.77 ((~(v159(constB114) <=> v182(constB114))) | (~v159(constB114)) | v182(constB114)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32761,plain,
% 7.58/5.77 (~v159(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32760, 32759, 32673])).
% 7.58/5.77 tff(32762,plain,
% 7.58/5.77 (((~v159(constB114)) | (~v194(constB114))) | v159(constB114)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32763,plain,
% 7.58/5.77 ((~v159(constB114)) | (~v194(constB114))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32762, 32761])).
% 7.58/5.77 tff(32764,plain,
% 7.58/5.77 ((~(v196(constB114) <=> (~((~v159(constB114)) | (~v194(constB114)))))) | (~v196(constB114)) | (~((~v159(constB114)) | (~v194(constB114))))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32765,plain,
% 7.58/5.77 (~v196(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32764, 32763, 32671])).
% 7.58/5.77 tff(32766,plain,
% 7.58/5.77 ((~(v193(constB114) | v196(constB114))) | v193(constB114) | v196(constB114)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32767,plain,
% 7.58/5.77 (~(v193(constB114) | v196(constB114))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32766, 32765, 32664])).
% 7.58/5.77 tff(32768,plain,
% 7.58/5.77 ((~(v190(constB114) <=> (v193(constB114) | v196(constB114)))) | (~v190(constB114)) | (v193(constB114) | v196(constB114))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32769,plain,
% 7.58/5.77 (~v190(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32768, 32767, 32553])).
% 7.58/5.77 tff(32770,plain,
% 7.58/5.77 ((~(v192(constB115) <=> v190(constB114))) | (~v192(constB115)) | v190(constB114)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32771,plain,
% 7.58/5.77 (~v192(constB115)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32770, 32769, 32551])).
% 7.58/5.77 tff(32772,plain,
% 7.58/5.77 ((~(v157(constB115) <=> v192(constB115))) | (~v157(constB115)) | v192(constB115)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32773,plain,
% 7.58/5.77 (~v157(constB115)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32772, 32771, 32547])).
% 7.58/5.77 tff(32774,plain,
% 7.58/5.77 (((~v157(constB115)) | (~v202(constB115))) | v157(constB115)),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32775,plain,
% 7.58/5.77 ((~v157(constB115)) | (~v202(constB115))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32774, 32773])).
% 7.58/5.77 tff(32776,plain,
% 7.58/5.77 ((~(v201(constB115) <=> (~((~v157(constB115)) | (~v202(constB115)))))) | (~v201(constB115)) | (~((~v157(constB115)) | (~v202(constB115))))),
% 7.58/5.77 inference(tautology,[status(thm)],[])).
% 7.58/5.77 tff(32777,plain,
% 7.58/5.77 (~v201(constB115)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32776, 32775, 32545])).
% 7.58/5.77 tff(32778,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB115) <=> (~((~v159(constB115)) | (~v202(constB115)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB115) <=> (~((~v159(constB115)) | (~v202(constB115))))))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32779,plain,
% 7.58/5.77 ((v205(constB115) <=> (~((~v202(constB115)) | (~v159(constB115))))) <=> (v205(constB115) <=> (~((~v159(constB115)) | (~v202(constB115)))))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32780,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB115) <=> (~((~v202(constB115)) | (~v159(constB115)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB115) <=> (~((~v159(constB115)) | (~v202(constB115))))))),
% 7.58/5.77 inference(monotonicity,[status(thm)],[32779])).
% 7.58/5.77 tff(32781,plain,
% 7.58/5.77 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB115) <=> (~((~v202(constB115)) | (~v159(constB115)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB115) <=> (~((~v159(constB115)) | (~v202(constB115))))))),
% 7.58/5.77 inference(transitivity,[status(thm)],[32780, 32778])).
% 7.58/5.77 tff(32782,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB115) <=> (~((~v202(constB115)) | (~v159(constB115)))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32783,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB115) <=> (~((~v159(constB115)) | (~v202(constB115)))))),
% 7.58/5.77 inference(modus_ponens,[status(thm)],[32782, 32781])).
% 7.58/5.77 tff(32784,plain,
% 7.58/5.77 (v205(constB115) <=> (~((~v159(constB115)) | (~v202(constB115))))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32783, 138])).
% 7.58/5.77 tff(32785,plain,
% 7.58/5.77 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB115) <=> v182(constB115))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32786,plain,
% 7.58/5.77 (v159(constB115) <=> v182(constB115)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32785, 15113])).
% 7.58/5.77 tff(32787,plain,
% 7.58/5.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB114, constB115)) | (v182(constB115) <=> v180(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB114, constB115)) | (v182(constB115) <=> v180(constB114)))),
% 7.58/5.77 inference(rewrite,[status(thm)],[])).
% 7.58/5.77 tff(32788,plain,
% 7.58/5.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB114, constB115)) | (v182(constB115) <=> v180(constB114)))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32789,plain,
% 7.58/5.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB114, constB115)) | (v182(constB115) <=> v180(constB114))),
% 7.58/5.77 inference(modus_ponens,[status(thm)],[32788, 32787])).
% 7.58/5.77 tff(32790,plain,
% 7.58/5.77 (v182(constB115) <=> v180(constB114)),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32789, 855, 15125])).
% 7.58/5.77 tff(32791,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB114) <=> (~((~v183(constB114)) | (~v184(constB114)))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.77 tff(32792,plain,
% 7.58/5.77 (v180(constB114) <=> (~((~v183(constB114)) | (~v184(constB114))))),
% 7.58/5.77 inference(unit_resolution,[status(thm)],[32791, 15139])).
% 7.58/5.77 tff(32793,plain,
% 7.58/5.77 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB114) <=> (~((~v185(constB114)) | (~v161(constB114)))))),
% 7.58/5.77 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32794,plain,
% 7.58/5.78 (v184(constB114) <=> (~((~v185(constB114)) | (~v161(constB114))))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32793, 15151])).
% 7.58/5.78 tff(32795,plain,
% 7.58/5.78 (((~v185(constB114)) | (~v161(constB114))) | v185(constB114)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32796,plain,
% 7.58/5.78 ((~v185(constB114)) | (~v161(constB114))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32795, 115])).
% 7.58/5.78 tff(32797,plain,
% 7.58/5.78 ((~(v184(constB114) <=> (~((~v185(constB114)) | (~v161(constB114)))))) | (~v184(constB114)) | (~((~v185(constB114)) | (~v161(constB114))))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32798,plain,
% 7.58/5.78 ((~(v184(constB114) <=> (~((~v185(constB114)) | (~v161(constB114)))))) | (~v184(constB114))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32797, 32796])).
% 7.58/5.78 tff(32799,plain,
% 7.58/5.78 (~v184(constB114)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32798, 32794])).
% 7.58/5.78 tff(32800,plain,
% 7.58/5.78 (((~v183(constB114)) | (~v184(constB114))) | v184(constB114)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32801,plain,
% 7.58/5.78 ((~v183(constB114)) | (~v184(constB114))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32800, 32799])).
% 7.58/5.78 tff(32802,plain,
% 7.58/5.78 ((~(v180(constB114) <=> (~((~v183(constB114)) | (~v184(constB114)))))) | (~v180(constB114)) | (~((~v183(constB114)) | (~v184(constB114))))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32803,plain,
% 7.58/5.78 (~v180(constB114)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32802, 32801, 32792])).
% 7.58/5.78 tff(32804,plain,
% 7.58/5.78 ((~(v182(constB115) <=> v180(constB114))) | (~v182(constB115)) | v180(constB114)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32805,plain,
% 7.58/5.78 (~v182(constB115)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32804, 32803, 32790])).
% 7.58/5.78 tff(32806,plain,
% 7.58/5.78 ((~(v159(constB115) <=> v182(constB115))) | (~v159(constB115)) | v182(constB115)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32807,plain,
% 7.58/5.78 (~v159(constB115)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32806, 32805, 32786])).
% 7.58/5.78 tff(32808,plain,
% 7.58/5.78 (((~v159(constB115)) | (~v202(constB115))) | v159(constB115)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32809,plain,
% 7.58/5.78 ((~v159(constB115)) | (~v202(constB115))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32808, 32807])).
% 7.58/5.78 tff(32810,plain,
% 7.58/5.78 ((~(v205(constB115) <=> (~((~v159(constB115)) | (~v202(constB115)))))) | (~v205(constB115)) | (~((~v159(constB115)) | (~v202(constB115))))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32811,plain,
% 7.58/5.78 (~v205(constB115)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32810, 32809, 32784])).
% 7.58/5.78 tff(32812,plain,
% 7.58/5.78 ((~(v201(constB115) | v205(constB115))) | v201(constB115) | v205(constB115)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32813,plain,
% 7.58/5.78 ((~(v201(constB115) | v205(constB115))) | v201(constB115)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32812, 32811])).
% 7.58/5.78 tff(32814,plain,
% 7.58/5.78 (~(v201(constB115) | v205(constB115))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32813, 32777])).
% 7.58/5.78 tff(32815,plain,
% 7.58/5.78 ((~(v200(constB115) <=> (v201(constB115) | v205(constB115)))) | (~v200(constB115)) | (v201(constB115) | v205(constB115))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32816,plain,
% 7.58/5.78 (~v200(constB115)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32815, 32814, 32538])).
% 7.58/5.78 tff(32817,plain,
% 7.58/5.78 ($false),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32816, 32536])).
% 7.58/5.78 tff(32818,plain,(~(constB115 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.58/5.78 tff(32819,assumption,(constB195 = VarCurr!0), introduced(assumption)).
% 7.58/5.78 tff(32820,plain,
% 7.58/5.78 (v200(constB195) <=> v200(VarCurr!0)),
% 7.58/5.78 inference(monotonicity,[status(thm)],[32819])).
% 7.58/5.78 tff(32821,plain,
% 7.58/5.78 (v200(VarCurr!0) <=> v200(constB195)),
% 7.58/5.78 inference(symmetry,[status(thm)],[32820])).
% 7.58/5.78 tff(32822,plain,
% 7.58/5.78 (v200(constB195)),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[27, 32821])).
% 7.58/5.78 tff(32823,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB195) <=> (v201(constB195) | v205(constB195)))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32824,plain,
% 7.58/5.78 (v200(constB195) <=> (v201(constB195) | v205(constB195))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32823, 35])).
% 7.58/5.78 tff(32825,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB195) <=> (~((~v157(constB195)) | (~v202(constB195)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB195) <=> (~((~v157(constB195)) | (~v202(constB195))))))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32826,plain,
% 7.58/5.78 ((v201(constB195) <=> (~((~v202(constB195)) | (~v157(constB195))))) <=> (v201(constB195) <=> (~((~v157(constB195)) | (~v202(constB195)))))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32827,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB195) <=> (~((~v202(constB195)) | (~v157(constB195)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB195) <=> (~((~v157(constB195)) | (~v202(constB195))))))),
% 7.58/5.78 inference(monotonicity,[status(thm)],[32826])).
% 7.58/5.78 tff(32828,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB195) <=> (~((~v202(constB195)) | (~v157(constB195)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB195) <=> (~((~v157(constB195)) | (~v202(constB195))))))),
% 7.58/5.78 inference(transitivity,[status(thm)],[32827, 32825])).
% 7.58/5.78 tff(32829,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB195) <=> (~((~v202(constB195)) | (~v157(constB195)))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32830,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB195) <=> (~((~v157(constB195)) | (~v202(constB195)))))),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[32829, 32828])).
% 7.58/5.78 tff(32831,plain,
% 7.58/5.78 (v201(constB195) <=> (~((~v157(constB195)) | (~v202(constB195))))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32830, 47])).
% 7.58/5.78 tff(32832,plain,
% 7.58/5.78 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB195) <=> v192(constB195))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32833,plain,
% 7.58/5.78 (v157(constB195) <=> v192(constB195)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32832, 15407])).
% 7.58/5.78 tff(32834,plain,
% 7.58/5.78 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32835,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_194')).
% 7.58/5.78 tff(32836,plain,
% 7.58/5.78 (nextState(constB194, constB195)),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[32835, 32834])).
% 7.58/5.78 tff(32837,plain,
% 7.58/5.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB194, constB195)) | (v192(constB195) <=> v190(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB194, constB195)) | (v192(constB195) <=> v190(constB194)))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32838,plain,
% 7.58/5.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB194, constB195)) | (v192(constB195) <=> v190(constB194)))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32839,plain,
% 7.58/5.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB194, constB195)) | (v192(constB195) <=> v190(constB194))),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[32838, 32837])).
% 7.58/5.78 tff(32840,plain,
% 7.58/5.78 (v192(constB195) <=> v190(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32839, 32836, 15419])).
% 7.58/5.78 tff(32841,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB194) <=> (v193(constB194) | v196(constB194)))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32842,plain,
% 7.58/5.78 (v190(constB194) <=> (v193(constB194) | v196(constB194))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32841, 15430])).
% 7.58/5.78 tff(32843,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB194) <=> (~((~v157(constB194)) | (~v194(constB194)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB194) <=> (~((~v157(constB194)) | (~v194(constB194))))))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32844,plain,
% 7.58/5.78 ((v193(constB194) <=> (~((~v194(constB194)) | (~v157(constB194))))) <=> (v193(constB194) <=> (~((~v157(constB194)) | (~v194(constB194)))))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32845,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB194) <=> (~((~v194(constB194)) | (~v157(constB194)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB194) <=> (~((~v157(constB194)) | (~v194(constB194))))))),
% 7.58/5.78 inference(monotonicity,[status(thm)],[32844])).
% 7.58/5.78 tff(32846,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB194) <=> (~((~v194(constB194)) | (~v157(constB194)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB194) <=> (~((~v157(constB194)) | (~v194(constB194))))))),
% 7.58/5.78 inference(transitivity,[status(thm)],[32845, 32843])).
% 7.58/5.78 tff(32847,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB194) <=> (~((~v194(constB194)) | (~v157(constB194)))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32848,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB194) <=> (~((~v157(constB194)) | (~v194(constB194)))))),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[32847, 32846])).
% 7.58/5.78 tff(32849,plain,
% 7.58/5.78 (v193(constB194) <=> (~((~v157(constB194)) | (~v194(constB194))))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32848, 15442])).
% 7.58/5.78 tff(32850,plain,
% 7.58/5.78 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB194) <=> v192(constB194))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32851,plain,
% 7.58/5.78 (v157(constB194) <=> v192(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32850, 15407])).
% 7.58/5.78 tff(32852,plain,
% 7.58/5.78 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32853,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_193')).
% 7.58/5.78 tff(32854,plain,
% 7.58/5.78 (nextState(constB193, constB194)),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[32853, 32852])).
% 7.58/5.78 tff(32855,plain,
% 7.58/5.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB193, constB194)) | (v192(constB194) <=> v190(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB193, constB194)) | (v192(constB194) <=> v190(constB193)))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32856,plain,
% 7.58/5.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB193, constB194)) | (v192(constB194) <=> v190(constB193)))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32857,plain,
% 7.58/5.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB193, constB194)) | (v192(constB194) <=> v190(constB193))),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[32856, 32855])).
% 7.58/5.78 tff(32858,plain,
% 7.58/5.78 (v192(constB194) <=> v190(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32857, 32854, 15419])).
% 7.58/5.78 tff(32859,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB193) <=> (v193(constB193) | v196(constB193)))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32860,plain,
% 7.58/5.78 (v190(constB193) <=> (v193(constB193) | v196(constB193))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32859, 15430])).
% 7.58/5.78 tff(32861,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB193) <=> (~((~v159(constB193)) | (~v194(constB193)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB193) <=> (~((~v159(constB193)) | (~v194(constB193))))))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32862,plain,
% 7.58/5.78 ((v196(constB193) <=> (~((~v194(constB193)) | (~v159(constB193))))) <=> (v196(constB193) <=> (~((~v159(constB193)) | (~v194(constB193)))))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32863,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB193) <=> (~((~v194(constB193)) | (~v159(constB193)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB193) <=> (~((~v159(constB193)) | (~v194(constB193))))))),
% 7.58/5.78 inference(monotonicity,[status(thm)],[32862])).
% 7.58/5.78 tff(32864,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB193) <=> (~((~v194(constB193)) | (~v159(constB193)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB193) <=> (~((~v159(constB193)) | (~v194(constB193))))))),
% 7.58/5.78 inference(transitivity,[status(thm)],[32863, 32861])).
% 7.58/5.78 tff(32865,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB193) <=> (~((~v194(constB193)) | (~v159(constB193)))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32866,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB193) <=> (~((~v159(constB193)) | (~v194(constB193)))))),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[32865, 32864])).
% 7.58/5.78 tff(32867,plain,
% 7.58/5.78 (v196(constB193) <=> (~((~v159(constB193)) | (~v194(constB193))))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32866, 15467])).
% 7.58/5.78 tff(32868,plain,
% 7.58/5.78 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB193) <=> v182(constB193))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32869,plain,
% 7.58/5.78 (v159(constB193) <=> v182(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32868, 15113])).
% 7.58/5.78 tff(32870,plain,
% 7.58/5.78 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32871,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_192')).
% 7.58/5.78 tff(32872,plain,
% 7.58/5.78 (nextState(constB192, constB193)),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[32871, 32870])).
% 7.58/5.78 tff(32873,plain,
% 7.58/5.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB192, constB193)) | (v182(constB193) <=> v180(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB192, constB193)) | (v182(constB193) <=> v180(constB192)))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32874,plain,
% 7.58/5.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB192, constB193)) | (v182(constB193) <=> v180(constB192)))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32875,plain,
% 7.58/5.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB192, constB193)) | (v182(constB193) <=> v180(constB192))),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[32874, 32873])).
% 7.58/5.78 tff(32876,plain,
% 7.58/5.78 (v182(constB193) <=> v180(constB192)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32875, 32872, 15125])).
% 7.58/5.78 tff(32877,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB192) <=> (~((~v183(constB192)) | (~v184(constB192)))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32878,plain,
% 7.58/5.78 (v180(constB192) <=> (~((~v183(constB192)) | (~v184(constB192))))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32877, 15139])).
% 7.58/5.78 tff(32879,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB192) <=> (~((~v185(constB192)) | (~v161(constB192)))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32880,plain,
% 7.58/5.78 (v184(constB192) <=> (~((~v185(constB192)) | (~v161(constB192))))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32879, 15151])).
% 7.58/5.78 tff(32881,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32882,plain,
% 7.58/5.78 (v185(constB192) <=> (~((~v39(constB192)) | (~v9(constB192))))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32881, 93])).
% 7.58/5.78 tff(32883,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB192)) <=> v1(constB192))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32884,plain,
% 7.58/5.78 ((~v39(constB192)) <=> v1(constB192)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32883, 102])).
% 7.58/5.78 tff(32885,plain,
% 7.58/5.78 (v1(constB192) <=> v1(constB192)),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32886,axiom,(v1(constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_192')).
% 7.58/5.78 tff(32887,plain,
% 7.58/5.78 (v1(constB192)),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[32886, 32885])).
% 7.58/5.78 tff(32888,plain,
% 7.58/5.78 ((~((~v39(constB192)) <=> v1(constB192))) | (~v39(constB192)) | (~v1(constB192))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32889,plain,
% 7.58/5.78 ((~((~v39(constB192)) <=> v1(constB192))) | (~v39(constB192))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32888, 32887])).
% 7.58/5.78 tff(32890,plain,
% 7.58/5.78 (~v39(constB192)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32889, 32884])).
% 7.58/5.78 tff(32891,plain,
% 7.58/5.78 (((~v39(constB192)) | (~v9(constB192))) | v39(constB192)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32892,plain,
% 7.58/5.78 ((~v39(constB192)) | (~v9(constB192))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32891, 32890])).
% 7.58/5.78 tff(32893,plain,
% 7.58/5.78 ((~(v185(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))) | (~v185(constB192)) | (~((~v39(constB192)) | (~v9(constB192))))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32894,plain,
% 7.58/5.78 ((~(v185(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))) | (~v185(constB192))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32893, 32892])).
% 7.58/5.78 tff(32895,plain,
% 7.58/5.78 (~v185(constB192)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32894, 32882])).
% 7.58/5.78 tff(32896,plain,
% 7.58/5.78 (((~v185(constB192)) | (~v161(constB192))) | v185(constB192)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32897,plain,
% 7.58/5.78 ((~v185(constB192)) | (~v161(constB192))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32896, 32895])).
% 7.58/5.78 tff(32898,plain,
% 7.58/5.78 ((~(v184(constB192) <=> (~((~v185(constB192)) | (~v161(constB192)))))) | (~v184(constB192)) | (~((~v185(constB192)) | (~v161(constB192))))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32899,plain,
% 7.58/5.78 ((~(v184(constB192) <=> (~((~v185(constB192)) | (~v161(constB192)))))) | (~v184(constB192))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32898, 32897])).
% 7.58/5.78 tff(32900,plain,
% 7.58/5.78 (~v184(constB192)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32899, 32880])).
% 7.58/5.78 tff(32901,plain,
% 7.58/5.78 (((~v183(constB192)) | (~v184(constB192))) | v184(constB192)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32902,plain,
% 7.58/5.78 ((~v183(constB192)) | (~v184(constB192))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32901, 32900])).
% 7.58/5.78 tff(32903,plain,
% 7.58/5.78 ((~(v180(constB192) <=> (~((~v183(constB192)) | (~v184(constB192)))))) | (~v180(constB192)) | (~((~v183(constB192)) | (~v184(constB192))))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32904,plain,
% 7.58/5.78 (~v180(constB192)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32903, 32902, 32878])).
% 7.58/5.78 tff(32905,plain,
% 7.58/5.78 ((~(v182(constB193) <=> v180(constB192))) | (~v182(constB193)) | v180(constB192)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32906,plain,
% 7.58/5.78 (~v182(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32905, 32904, 32876])).
% 7.58/5.78 tff(32907,plain,
% 7.58/5.78 ((~(v159(constB193) <=> v182(constB193))) | (~v159(constB193)) | v182(constB193)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32908,plain,
% 7.58/5.78 (~v159(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32907, 32906, 32869])).
% 7.58/5.78 tff(32909,plain,
% 7.58/5.78 (((~v159(constB193)) | (~v194(constB193))) | v159(constB193)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32910,plain,
% 7.58/5.78 ((~v159(constB193)) | (~v194(constB193))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32909, 32908])).
% 7.58/5.78 tff(32911,plain,
% 7.58/5.78 ((~(v196(constB193) <=> (~((~v159(constB193)) | (~v194(constB193)))))) | (~v196(constB193)) | (~((~v159(constB193)) | (~v194(constB193))))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32912,plain,
% 7.58/5.78 (~v196(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32911, 32910, 32867])).
% 7.58/5.78 tff(32913,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB193) <=> (~((~v157(constB193)) | (~v194(constB193)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB193) <=> (~((~v157(constB193)) | (~v194(constB193))))))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32914,plain,
% 7.58/5.78 ((v193(constB193) <=> (~((~v194(constB193)) | (~v157(constB193))))) <=> (v193(constB193) <=> (~((~v157(constB193)) | (~v194(constB193)))))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32915,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB193) <=> (~((~v194(constB193)) | (~v157(constB193)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB193) <=> (~((~v157(constB193)) | (~v194(constB193))))))),
% 7.58/5.78 inference(monotonicity,[status(thm)],[32914])).
% 7.58/5.78 tff(32916,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB193) <=> (~((~v194(constB193)) | (~v157(constB193)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB193) <=> (~((~v157(constB193)) | (~v194(constB193))))))),
% 7.58/5.78 inference(transitivity,[status(thm)],[32915, 32913])).
% 7.58/5.78 tff(32917,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB193) <=> (~((~v194(constB193)) | (~v157(constB193)))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32918,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB193) <=> (~((~v157(constB193)) | (~v194(constB193)))))),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[32917, 32916])).
% 7.58/5.78 tff(32919,plain,
% 7.58/5.78 (v193(constB193) <=> (~((~v157(constB193)) | (~v194(constB193))))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32918, 15442])).
% 7.58/5.78 tff(32920,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB193)) <=> v195(constB193))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32921,plain,
% 7.58/5.78 ((~v194(constB193)) <=> v195(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32920, 15527])).
% 7.58/5.78 tff(32922,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB193) <=> (v185(constB193) | v26(constB193)))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32923,plain,
% 7.58/5.78 (v195(constB193) <=> (v185(constB193) | v26(constB193))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32922, 15536])).
% 7.58/5.78 tff(32924,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB193) <=> (~((~v39(constB193)) | (~v9(constB193)))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32925,plain,
% 7.58/5.78 (v185(constB193) <=> (~((~v39(constB193)) | (~v9(constB193))))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32924, 93])).
% 7.58/5.78 tff(32926,plain,
% 7.58/5.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193)))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32927,plain,
% 7.58/5.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193)))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32928,plain,
% 7.58/5.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193))),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[32927, 32926])).
% 7.58/5.78 tff(32929,plain,
% 7.58/5.78 (v13(constB194) <=> v9(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32928, 32854, 15550])).
% 7.58/5.78 tff(32930,plain,
% 7.58/5.78 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB194) <=> v13(constB194))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32931,plain,
% 7.58/5.78 (v6(constB194) <=> v13(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32930, 15564])).
% 7.58/5.78 tff(32932,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB194)) <=> v6(constB194))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32933,plain,
% 7.58/5.78 ((~v21(constB194)) <=> v6(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32932, 15573])).
% 7.58/5.78 tff(32934,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB194) <=> (v20(constB194) | v21(constB194)))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32935,plain,
% 7.58/5.78 (v19(constB194) <=> (v20(constB194) | v21(constB194))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32934, 15582])).
% 7.58/5.78 tff(32936,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194)))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32937,plain,
% 7.58/5.78 (v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194))))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32936, 15594])).
% 7.58/5.78 tff(32938,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB194)) <=> v18(constB194))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32939,plain,
% 7.58/5.78 ((~v4(constB194)) <=> v18(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32938, 15603])).
% 7.58/5.78 tff(32940,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB194)),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32941,plain,
% 7.58/5.78 (v4(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32940, 15612])).
% 7.58/5.78 tff(32942,plain,
% 7.58/5.78 ((~((~v4(constB194)) <=> v18(constB194))) | (~v4(constB194)) | (~v18(constB194))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32943,plain,
% 7.58/5.78 (~v18(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32942, 32941, 32939])).
% 7.58/5.78 tff(32944,plain,
% 7.58/5.78 ((~(v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194)))))) | v18(constB194) | ((~v19(constB194)) | (~v22(constB194)))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32945,plain,
% 7.58/5.78 ((~v19(constB194)) | (~v22(constB194))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32944, 32943, 32937])).
% 7.58/5.78 tff(32946,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB194) <=> (v1(constB194) | v6(constB194)))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32947,plain,
% 7.58/5.78 (v22(constB194) <=> (v1(constB194) | v6(constB194))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32946, 15625])).
% 7.58/5.78 tff(32948,plain,
% 7.58/5.78 ((v1(constB194) | v6(constB194)) | (~v1(constB194))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32949,plain,
% 7.58/5.78 (v1(constB194) | v6(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32948, 27724])).
% 7.58/5.78 tff(32950,plain,
% 7.58/5.78 ((~(v22(constB194) <=> (v1(constB194) | v6(constB194)))) | v22(constB194) | (~(v1(constB194) | v6(constB194)))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32951,plain,
% 7.58/5.78 ((~(v22(constB194) <=> (v1(constB194) | v6(constB194)))) | v22(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32950, 32949])).
% 7.58/5.78 tff(32952,plain,
% 7.58/5.78 (v22(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32951, 32947])).
% 7.58/5.78 tff(32953,plain,
% 7.58/5.78 ((~((~v19(constB194)) | (~v22(constB194)))) | (~v19(constB194)) | (~v22(constB194))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32954,plain,
% 7.58/5.78 ((~((~v19(constB194)) | (~v22(constB194)))) | (~v19(constB194))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32953, 32952])).
% 7.58/5.78 tff(32955,plain,
% 7.58/5.78 (~v19(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32954, 32945])).
% 7.58/5.78 tff(32956,plain,
% 7.58/5.78 ((~(v19(constB194) <=> (v20(constB194) | v21(constB194)))) | v19(constB194) | (~(v20(constB194) | v21(constB194)))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32957,plain,
% 7.58/5.78 (~(v20(constB194) | v21(constB194))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32956, 32955, 32935])).
% 7.58/5.78 tff(32958,plain,
% 7.58/5.78 ((v20(constB194) | v21(constB194)) | (~v21(constB194))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32959,plain,
% 7.58/5.78 (~v21(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32958, 32957])).
% 7.58/5.78 tff(32960,plain,
% 7.58/5.78 ((~((~v21(constB194)) <=> v6(constB194))) | v21(constB194) | v6(constB194)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32961,plain,
% 7.58/5.78 (v6(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32960, 32959, 32933])).
% 7.58/5.78 tff(32962,plain,
% 7.58/5.78 ((~(v6(constB194) <=> v13(constB194))) | (~v6(constB194)) | v13(constB194)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32963,plain,
% 7.58/5.78 (v13(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32962, 32961, 32931])).
% 7.58/5.78 tff(32964,plain,
% 7.58/5.78 ((~(v13(constB194) <=> v9(constB193))) | (~v13(constB194)) | v9(constB193)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32965,plain,
% 7.58/5.78 (v9(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32964, 32963, 32929])).
% 7.58/5.78 tff(32966,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB193)) <=> v1(constB193))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(32967,plain,
% 7.58/5.78 ((~v39(constB193)) <=> v1(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32966, 102])).
% 7.58/5.78 tff(32968,plain,
% 7.58/5.78 ((~v1(constB193)) <=> (~v1(constB193))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(32969,axiom,(~v1(constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_193')).
% 7.58/5.78 tff(32970,plain,
% 7.58/5.78 (~v1(constB193)),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[32969, 32968])).
% 7.58/5.78 tff(32971,plain,
% 7.58/5.78 ((~((~v39(constB193)) <=> v1(constB193))) | v39(constB193) | v1(constB193)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32972,plain,
% 7.58/5.78 ((~((~v39(constB193)) <=> v1(constB193))) | v39(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32971, 32970])).
% 7.58/5.78 tff(32973,plain,
% 7.58/5.78 (v39(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32972, 32967])).
% 7.58/5.78 tff(32974,plain,
% 7.58/5.78 ((~((~v39(constB193)) | (~v9(constB193)))) | (~v39(constB193)) | (~v9(constB193))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32975,plain,
% 7.58/5.78 ((~((~v39(constB193)) | (~v9(constB193)))) | (~v9(constB193))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32974, 32973])).
% 7.58/5.78 tff(32976,plain,
% 7.58/5.78 (~((~v39(constB193)) | (~v9(constB193)))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32975, 32965])).
% 7.58/5.78 tff(32977,plain,
% 7.58/5.78 ((~(v185(constB193) <=> (~((~v39(constB193)) | (~v9(constB193)))))) | v185(constB193) | ((~v39(constB193)) | (~v9(constB193)))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32978,plain,
% 7.58/5.78 (v185(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32977, 32976, 32925])).
% 7.58/5.78 tff(32979,plain,
% 7.58/5.78 ((v185(constB193) | v26(constB193)) | (~v185(constB193))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32980,plain,
% 7.58/5.78 (v185(constB193) | v26(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32979, 32978])).
% 7.58/5.78 tff(32981,plain,
% 7.58/5.78 ((~(v195(constB193) <=> (v185(constB193) | v26(constB193)))) | v195(constB193) | (~(v185(constB193) | v26(constB193)))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32982,plain,
% 7.58/5.78 (v195(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32981, 32980, 32923])).
% 7.58/5.78 tff(32983,plain,
% 7.58/5.78 ((~((~v194(constB193)) <=> v195(constB193))) | (~v194(constB193)) | (~v195(constB193))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32984,plain,
% 7.58/5.78 (~v194(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32983, 32982, 32921])).
% 7.58/5.78 tff(32985,plain,
% 7.58/5.78 (((~v157(constB193)) | (~v194(constB193))) | v194(constB193)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32986,plain,
% 7.58/5.78 ((~v157(constB193)) | (~v194(constB193))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32985, 32984])).
% 7.58/5.78 tff(32987,plain,
% 7.58/5.78 ((~(v193(constB193) <=> (~((~v157(constB193)) | (~v194(constB193)))))) | (~v193(constB193)) | (~((~v157(constB193)) | (~v194(constB193))))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32988,plain,
% 7.58/5.78 (~v193(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32987, 32986, 32919])).
% 7.58/5.78 tff(32989,plain,
% 7.58/5.78 ((~(v193(constB193) | v196(constB193))) | v193(constB193) | v196(constB193)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32990,plain,
% 7.58/5.78 (~(v193(constB193) | v196(constB193))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32989, 32988, 32912])).
% 7.58/5.78 tff(32991,plain,
% 7.58/5.78 ((~(v190(constB193) <=> (v193(constB193) | v196(constB193)))) | (~v190(constB193)) | (v193(constB193) | v196(constB193))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32992,plain,
% 7.58/5.78 (~v190(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32991, 32990, 32860])).
% 7.58/5.78 tff(32993,plain,
% 7.58/5.78 ((~(v192(constB194) <=> v190(constB193))) | (~v192(constB194)) | v190(constB193)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32994,plain,
% 7.58/5.78 (~v192(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32993, 32992, 32858])).
% 7.58/5.78 tff(32995,plain,
% 7.58/5.78 ((~(v157(constB194) <=> v192(constB194))) | (~v157(constB194)) | v192(constB194)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32996,plain,
% 7.58/5.78 (~v157(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32995, 32994, 32851])).
% 7.58/5.78 tff(32997,plain,
% 7.58/5.78 (((~v157(constB194)) | (~v194(constB194))) | v157(constB194)),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(32998,plain,
% 7.58/5.78 ((~v157(constB194)) | (~v194(constB194))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32997, 32996])).
% 7.58/5.78 tff(32999,plain,
% 7.58/5.78 ((~(v193(constB194) <=> (~((~v157(constB194)) | (~v194(constB194)))))) | (~v193(constB194)) | (~((~v157(constB194)) | (~v194(constB194))))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(33000,plain,
% 7.58/5.78 (~v193(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[32999, 32998, 32849])).
% 7.58/5.78 tff(33001,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB194) <=> (~((~v159(constB194)) | (~v194(constB194)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB194) <=> (~((~v159(constB194)) | (~v194(constB194))))))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(33002,plain,
% 7.58/5.78 ((v196(constB194) <=> (~((~v194(constB194)) | (~v159(constB194))))) <=> (v196(constB194) <=> (~((~v159(constB194)) | (~v194(constB194)))))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(33003,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB194) <=> (~((~v194(constB194)) | (~v159(constB194)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB194) <=> (~((~v159(constB194)) | (~v194(constB194))))))),
% 7.58/5.78 inference(monotonicity,[status(thm)],[33002])).
% 7.58/5.78 tff(33004,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB194) <=> (~((~v194(constB194)) | (~v159(constB194)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB194) <=> (~((~v159(constB194)) | (~v194(constB194))))))),
% 7.58/5.78 inference(transitivity,[status(thm)],[33003, 33001])).
% 7.58/5.78 tff(33005,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB194) <=> (~((~v194(constB194)) | (~v159(constB194)))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(33006,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB194) <=> (~((~v159(constB194)) | (~v194(constB194)))))),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[33005, 33004])).
% 7.58/5.78 tff(33007,plain,
% 7.58/5.78 (v196(constB194) <=> (~((~v159(constB194)) | (~v194(constB194))))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[33006, 15467])).
% 7.58/5.78 tff(33008,plain,
% 7.58/5.78 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB194) <=> v182(constB194))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(33009,plain,
% 7.58/5.78 (v159(constB194) <=> v182(constB194)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[33008, 15113])).
% 7.58/5.78 tff(33010,plain,
% 7.58/5.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB193, constB194)) | (v182(constB194) <=> v180(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB193, constB194)) | (v182(constB194) <=> v180(constB193)))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(33011,plain,
% 7.58/5.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB193, constB194)) | (v182(constB194) <=> v180(constB193)))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(33012,plain,
% 7.58/5.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB193, constB194)) | (v182(constB194) <=> v180(constB193))),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[33011, 33010])).
% 7.58/5.78 tff(33013,plain,
% 7.58/5.78 (v182(constB194) <=> v180(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[33012, 32854, 15125])).
% 7.58/5.78 tff(33014,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB193) <=> (~((~v183(constB193)) | (~v184(constB193)))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(33015,plain,
% 7.58/5.78 (v180(constB193) <=> (~((~v183(constB193)) | (~v184(constB193))))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[33014, 15139])).
% 7.58/5.78 tff(33016,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB193) <=> (~((~v185(constB193)) | (~v161(constB193)))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(33017,plain,
% 7.58/5.78 (v184(constB193) <=> (~((~v185(constB193)) | (~v161(constB193))))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[33016, 15151])).
% 7.58/5.78 tff(33018,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB193) <=> v163(constB193))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(33019,plain,
% 7.58/5.78 (v161(constB193) <=> v163(constB193)),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[33018, 15701])).
% 7.58/5.78 tff(33020,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB193) <=> (v145(constB193) | v167(constB193)))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(33021,plain,
% 7.58/5.78 (v166(constB193) <=> (v145(constB193) | v167(constB193))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[33020, 15713])).
% 7.58/5.78 tff(33022,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB193) <=> (v146(constB193) | v147(constB193)))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(33023,plain,
% 7.58/5.78 (v145(constB193) <=> (v146(constB193) | v147(constB193))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[33022, 25196])).
% 7.58/5.78 tff(33024,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB193) <=> (~(v88(constB193, 1) | (~v88(constB193, 2)) | v88(constB193, 0))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB193) <=> (~(v88(constB193, 1) | (~v88(constB193, 2)) | v88(constB193, 0)))))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(33025,plain,
% 7.58/5.78 ((v146(constB193) <=> (~(v88(constB193, 0) | v88(constB193, 1) | (~v88(constB193, 2))))) <=> (v146(constB193) <=> (~(v88(constB193, 1) | (~v88(constB193, 2)) | v88(constB193, 0))))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(33026,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB193) <=> (~(v88(constB193, 0) | v88(constB193, 1) | (~v88(constB193, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB193) <=> (~(v88(constB193, 1) | (~v88(constB193, 2)) | v88(constB193, 0)))))),
% 7.58/5.78 inference(monotonicity,[status(thm)],[33025])).
% 7.58/5.78 tff(33027,plain,
% 7.58/5.78 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB193) <=> (~(v88(constB193, 0) | v88(constB193, 1) | (~v88(constB193, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB193) <=> (~(v88(constB193, 1) | (~v88(constB193, 2)) | v88(constB193, 0)))))),
% 7.58/5.78 inference(transitivity,[status(thm)],[33026, 33024])).
% 7.58/5.78 tff(33028,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB193) <=> (~(v88(constB193, 0) | v88(constB193, 1) | (~v88(constB193, 2)))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(33029,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB193) <=> (~(v88(constB193, 1) | (~v88(constB193, 2)) | v88(constB193, 0))))),
% 7.58/5.78 inference(modus_ponens,[status(thm)],[33028, 33027])).
% 7.58/5.78 tff(33030,plain,
% 7.58/5.78 (v146(constB193) <=> (~(v88(constB193, 1) | (~v88(constB193, 2)) | v88(constB193, 0)))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[33029, 25211])).
% 7.58/5.78 tff(33031,plain,
% 7.58/5.78 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB193, 1)) <=> v90(constB193, 1)) | ((~v88(constB193, 2)) <=> v90(constB193, 2)) | ((~v88(constB193, 0)) <=> v90(constB193, 0))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.78 tff(33032,plain,
% 7.58/5.78 (~(((~v88(constB193, 1)) <=> v90(constB193, 1)) | ((~v88(constB193, 2)) <=> v90(constB193, 2)) | ((~v88(constB193, 0)) <=> v90(constB193, 0)))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[33031, 256])).
% 7.58/5.78 tff(33033,plain,
% 7.58/5.78 ((((~v88(constB193, 1)) <=> v90(constB193, 1)) | ((~v88(constB193, 2)) <=> v90(constB193, 2)) | ((~v88(constB193, 0)) <=> v90(constB193, 0))) | (~((~v88(constB193, 2)) <=> v90(constB193, 2)))),
% 7.58/5.78 inference(tautology,[status(thm)],[])).
% 7.58/5.78 tff(33034,plain,
% 7.58/5.78 (~((~v88(constB193, 2)) <=> v90(constB193, 2))),
% 7.58/5.78 inference(unit_resolution,[status(thm)],[33033, 33032])).
% 7.58/5.78 tff(33035,plain,
% 7.58/5.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))))),
% 7.58/5.78 inference(rewrite,[status(thm)],[])).
% 7.58/5.78 tff(33036,plain,
% 7.58/5.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))))),
% 7.58/5.78 inference(quant_inst,[status(thm)],[])).
% 7.58/5.79 tff(33037,plain,
% 7.58/5.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193)))))),
% 7.58/5.79 inference(modus_ponens,[status(thm)],[33036, 33035])).
% 7.58/5.79 tff(33038,plain,
% 7.58/5.79 (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33037, 32872, 273])).
% 7.58/5.79 tff(33039,plain,
% 7.58/5.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))),
% 7.58/5.79 inference(rewrite,[status(thm)],[])).
% 7.58/5.79 tff(33040,plain,
% 7.58/5.79 (((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193)))))) <=> ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))),
% 7.58/5.79 inference(rewrite,[status(thm)],[])).
% 7.58/5.79 tff(33041,plain,
% 7.58/5.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))))),
% 7.58/5.79 inference(monotonicity,[status(thm)],[33040])).
% 7.58/5.79 tff(33042,plain,
% 7.58/5.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))),
% 7.58/5.79 inference(transitivity,[status(thm)],[33041, 33039])).
% 7.58/5.79 tff(33043,plain,
% 7.58/5.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193))))))),
% 7.58/5.79 inference(quant_inst,[status(thm)],[])).
% 7.58/5.79 tff(33044,plain,
% 7.58/5.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))),
% 7.58/5.79 inference(modus_ponens,[status(thm)],[33043, 33042])).
% 7.58/5.79 tff(33045,plain,
% 7.58/5.79 (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33044, 32872, 293])).
% 7.58/5.79 tff(33046,plain,
% 7.58/5.79 (((~v1(constB193)) | (~v102(constB193))) | v1(constB193)),
% 7.58/5.79 inference(tautology,[status(thm)],[])).
% 7.58/5.79 tff(33047,plain,
% 7.58/5.79 ((~v1(constB193)) | (~v102(constB193))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33046, 32970])).
% 7.58/5.79 tff(33048,plain,
% 7.58/5.79 ((~(v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))) | (~v101(constB193)) | (~((~v1(constB193)) | (~v102(constB193))))),
% 7.58/5.79 inference(tautology,[status(thm)],[])).
% 7.58/5.79 tff(33049,plain,
% 7.58/5.79 ((~(v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))) | (~v101(constB193))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33048, 33047])).
% 7.58/5.79 tff(33050,plain,
% 7.58/5.79 (~v101(constB193)),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33049, 33045])).
% 7.58/5.79 tff(33051,plain,
% 7.58/5.79 (((~v101(constB193)) | (~v110(constB193))) | v101(constB193)),
% 7.58/5.79 inference(tautology,[status(thm)],[])).
% 7.58/5.79 tff(33052,plain,
% 7.58/5.79 ((~v101(constB193)) | (~v110(constB193))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33051, 33050])).
% 7.58/5.79 tff(33053,plain,
% 7.58/5.79 ((~(v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193)))))) | (~v100(constB193)) | (~((~v101(constB193)) | (~v110(constB193))))),
% 7.58/5.79 inference(tautology,[status(thm)],[])).
% 7.58/5.79 tff(33054,plain,
% 7.58/5.79 (~v100(constB193)),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33053, 33052, 33038])).
% 7.58/5.79 tff(33055,plain,
% 7.58/5.79 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 0)) <=> v90(constB192, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 0)) <=> v90(constB192, 0)))))),
% 7.58/5.79 inference(rewrite,[status(thm)],[])).
% 7.58/5.79 tff(33056,plain,
% 7.58/5.79 ((v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 0)) <=> v90(constB192, 0))))) <=> (v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 0)) <=> v90(constB192, 0)))))),
% 7.58/5.79 inference(rewrite,[status(thm)],[])).
% 7.58/5.79 tff(33057,plain,
% 7.58/5.79 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 0)) <=> v90(constB192, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 0)) <=> v90(constB192, 0))))))),
% 7.58/5.79 inference(monotonicity,[status(thm)],[33056])).
% 7.58/5.79 tff(33058,plain,
% 7.58/5.79 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 0)) <=> v90(constB192, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 0)) <=> v90(constB192, 0)))))),
% 7.58/5.79 inference(transitivity,[status(thm)],[33057, 33055])).
% 7.58/5.79 tff(33059,plain,
% 7.58/5.79 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 0)) <=> v90(constB192, 0)))))),
% 7.58/5.79 inference(quant_inst,[status(thm)],[])).
% 7.58/5.79 tff(33060,plain,
% 7.58/5.79 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 0)) <=> v90(constB192, 0))))),
% 7.58/5.79 inference(modus_ponens,[status(thm)],[33059, 33058])).
% 7.58/5.79 tff(33061,plain,
% 7.58/5.79 (v100(constB193) | (~(((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 0)) <=> v90(constB192, 0))))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33060, 32872, 325])).
% 7.58/5.79 tff(33062,plain,
% 7.58/5.79 (~(((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 0)) <=> v90(constB192, 0)))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33061, 33054])).
% 7.58/5.79 tff(33063,plain,
% 7.58/5.79 ((((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 0)) <=> v90(constB192, 0))) | (~((~v90(constB193, 2)) <=> v90(constB192, 2)))),
% 7.58/5.79 inference(tautology,[status(thm)],[])).
% 7.58/5.79 tff(33064,plain,
% 7.58/5.79 (~((~v90(constB193, 2)) <=> v90(constB192, 2))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33063, 33062])).
% 7.58/5.79 tff(33065,plain,
% 7.58/5.79 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 7.58/5.79 inference(rewrite,[status(thm)],[])).
% 7.58/5.79 tff(33066,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_191')).
% 7.58/5.79 tff(33067,plain,
% 7.58/5.79 (nextState(constB191, constB192)),
% 7.58/5.79 inference(modus_ponens,[status(thm)],[33066, 33065])).
% 7.58/5.79 tff(33068,plain,
% 7.58/5.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB191, constB192)) | (~(((~v129(constB192, 2)) <=> v127(constB191, 2)) | ((~v129(constB192, 1)) <=> v127(constB191, 1)) | ((~v129(constB192, 0)) <=> v127(constB191, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB191, constB192)) | (~(((~v129(constB192, 2)) <=> v127(constB191, 2)) | ((~v129(constB192, 1)) <=> v127(constB191, 1)) | ((~v129(constB192, 0)) <=> v127(constB191, 0)))))),
% 7.58/5.79 inference(rewrite,[status(thm)],[])).
% 7.58/5.79 tff(33069,plain,
% 7.58/5.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB191, constB192)) | (~(((~v129(constB192, 2)) <=> v127(constB191, 2)) | ((~v129(constB192, 1)) <=> v127(constB191, 1)) | ((~v129(constB192, 0)) <=> v127(constB191, 0)))))),
% 7.58/5.79 inference(quant_inst,[status(thm)],[])).
% 7.58/5.79 tff(33070,plain,
% 7.58/5.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB191, constB192)) | (~(((~v129(constB192, 2)) <=> v127(constB191, 2)) | ((~v129(constB192, 1)) <=> v127(constB191, 1)) | ((~v129(constB192, 0)) <=> v127(constB191, 0))))),
% 7.58/5.79 inference(modus_ponens,[status(thm)],[33069, 33068])).
% 7.58/5.79 tff(33071,plain,
% 7.58/5.79 (~(((~v129(constB192, 2)) <=> v127(constB191, 2)) | ((~v129(constB192, 1)) <=> v127(constB191, 1)) | ((~v129(constB192, 0)) <=> v127(constB191, 0)))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33070, 33067, 348])).
% 7.58/5.79 tff(33072,plain,
% 7.58/5.79 ((((~v129(constB192, 2)) <=> v127(constB191, 2)) | ((~v129(constB192, 1)) <=> v127(constB191, 1)) | ((~v129(constB192, 0)) <=> v127(constB191, 0))) | (~((~v129(constB192, 2)) <=> v127(constB191, 2)))),
% 7.58/5.79 inference(tautology,[status(thm)],[])).
% 7.58/5.79 tff(33073,plain,
% 7.58/5.79 (~((~v129(constB192, 2)) <=> v127(constB191, 2))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33072, 33071])).
% 7.58/5.79 tff(33074,plain,
% 7.58/5.79 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB191) <=> v26(constB191))),
% 7.58/5.79 inference(quant_inst,[status(thm)],[])).
% 7.58/5.79 tff(33075,plain,
% 7.58/5.79 (v111(constB191) <=> v26(constB191)),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33074, 367])).
% 7.58/5.79 tff(33076,plain,
% 7.58/5.79 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB191))),
% 7.58/5.79 inference(quant_inst,[status(thm)],[])).
% 7.58/5.79 tff(33077,plain,
% 7.58/5.79 (~v26(constB191)),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33076, 379])).
% 7.58/5.79 tff(33078,plain,
% 7.58/5.79 ((~(v111(constB191) <=> v26(constB191))) | (~v111(constB191)) | v26(constB191)),
% 7.58/5.79 inference(tautology,[status(thm)],[])).
% 7.58/5.79 tff(33079,plain,
% 7.58/5.79 ((~(v111(constB191) <=> v26(constB191))) | (~v111(constB191))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33078, 33077])).
% 7.58/5.79 tff(33080,plain,
% 7.58/5.79 (~v111(constB191)),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33079, 33075])).
% 7.58/5.79 tff(33081,plain,
% 7.58/5.79 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB191) | (~(((~v127(constB191, 2)) <=> v130(constB191, 2)) | ((~v127(constB191, 1)) <=> v130(constB191, 1)) | ((~v127(constB191, 0)) <=> v130(constB191, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB191) | (~(((~v127(constB191, 2)) <=> v130(constB191, 2)) | ((~v127(constB191, 1)) <=> v130(constB191, 1)) | ((~v127(constB191, 0)) <=> v130(constB191, 0)))))),
% 7.58/5.79 inference(rewrite,[status(thm)],[])).
% 7.58/5.79 tff(33082,plain,
% 7.58/5.79 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB191) | (~(((~v127(constB191, 2)) <=> v130(constB191, 2)) | ((~v127(constB191, 1)) <=> v130(constB191, 1)) | ((~v127(constB191, 0)) <=> v130(constB191, 0)))))),
% 7.58/5.79 inference(quant_inst,[status(thm)],[])).
% 7.58/5.79 tff(33083,plain,
% 7.58/5.79 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB191) | (~(((~v127(constB191, 2)) <=> v130(constB191, 2)) | ((~v127(constB191, 1)) <=> v130(constB191, 1)) | ((~v127(constB191, 0)) <=> v130(constB191, 0))))),
% 7.58/5.79 inference(modus_ponens,[status(thm)],[33082, 33081])).
% 7.58/5.79 tff(33084,plain,
% 7.58/5.79 (v111(constB191) | (~(((~v127(constB191, 2)) <=> v130(constB191, 2)) | ((~v127(constB191, 1)) <=> v130(constB191, 1)) | ((~v127(constB191, 0)) <=> v130(constB191, 0))))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33083, 397])).
% 7.58/5.79 tff(33085,plain,
% 7.58/5.79 (~(((~v127(constB191, 2)) <=> v130(constB191, 2)) | ((~v127(constB191, 1)) <=> v130(constB191, 1)) | ((~v127(constB191, 0)) <=> v130(constB191, 0)))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33084, 33080])).
% 7.58/5.79 tff(33086,plain,
% 7.58/5.79 ((((~v127(constB191, 2)) <=> v130(constB191, 2)) | ((~v127(constB191, 1)) <=> v130(constB191, 1)) | ((~v127(constB191, 0)) <=> v130(constB191, 0))) | (~((~v127(constB191, 2)) <=> v130(constB191, 2)))),
% 7.58/5.79 inference(tautology,[status(thm)],[])).
% 7.58/5.79 tff(33087,plain,
% 7.58/5.79 (~((~v127(constB191, 2)) <=> v130(constB191, 2))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33086, 33085])).
% 7.58/5.79 tff(33088,plain,
% 7.58/5.79 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB191) <=> (~(v90(constB191, 2) | (~v90(constB191, 1)) | (~v90(constB191, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB191) <=> (~(v90(constB191, 2) | (~v90(constB191, 1)) | (~v90(constB191, 0))))))),
% 7.58/5.79 inference(rewrite,[status(thm)],[])).
% 7.58/5.79 tff(33089,plain,
% 7.58/5.79 ((v122(constB191) <=> (~(v90(constB191, 2) | (~v90(constB191, 0)) | (~v90(constB191, 1))))) <=> (v122(constB191) <=> (~(v90(constB191, 2) | (~v90(constB191, 1)) | (~v90(constB191, 0)))))),
% 7.58/5.79 inference(rewrite,[status(thm)],[])).
% 7.58/5.79 tff(33090,plain,
% 7.58/5.79 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB191) <=> (~(v90(constB191, 2) | (~v90(constB191, 0)) | (~v90(constB191, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB191) <=> (~(v90(constB191, 2) | (~v90(constB191, 1)) | (~v90(constB191, 0))))))),
% 7.58/5.79 inference(monotonicity,[status(thm)],[33089])).
% 7.58/5.79 tff(33091,plain,
% 7.58/5.79 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB191) <=> (~(v90(constB191, 2) | (~v90(constB191, 0)) | (~v90(constB191, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB191) <=> (~(v90(constB191, 2) | (~v90(constB191, 1)) | (~v90(constB191, 0))))))),
% 7.58/5.79 inference(transitivity,[status(thm)],[33090, 33088])).
% 7.58/5.79 tff(33092,plain,
% 7.58/5.79 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB191) <=> (~(v90(constB191, 2) | (~v90(constB191, 0)) | (~v90(constB191, 1)))))),
% 7.58/5.79 inference(quant_inst,[status(thm)],[])).
% 7.58/5.79 tff(33093,plain,
% 7.58/5.79 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB191) <=> (~(v90(constB191, 2) | (~v90(constB191, 1)) | (~v90(constB191, 0)))))),
% 7.58/5.79 inference(modus_ponens,[status(thm)],[33092, 33091])).
% 7.58/5.79 tff(33094,plain,
% 7.58/5.79 (v122(constB191) <=> (~(v90(constB191, 2) | (~v90(constB191, 1)) | (~v90(constB191, 0))))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33093, 644])).
% 7.58/5.79 tff(33095,plain,
% 7.58/5.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))))),
% 7.58/5.79 inference(rewrite,[status(thm)],[])).
% 7.58/5.79 tff(33096,plain,
% 7.58/5.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))))),
% 7.58/5.79 inference(quant_inst,[status(thm)],[])).
% 7.58/5.79 tff(33097,plain,
% 7.58/5.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191)))))),
% 7.58/5.79 inference(modus_ponens,[status(thm)],[33096, 33095])).
% 7.58/5.79 tff(33098,plain,
% 7.58/5.79 (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33097, 16468, 273])).
% 7.58/5.79 tff(33099,plain,
% 7.58/5.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))),
% 7.58/5.79 inference(rewrite,[status(thm)],[])).
% 7.58/5.79 tff(33100,plain,
% 7.58/5.79 (((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191)))))) <=> ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))),
% 7.58/5.79 inference(rewrite,[status(thm)],[])).
% 7.58/5.79 tff(33101,plain,
% 7.58/5.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))))),
% 7.58/5.79 inference(monotonicity,[status(thm)],[33100])).
% 7.58/5.79 tff(33102,plain,
% 7.58/5.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))),
% 7.58/5.79 inference(transitivity,[status(thm)],[33101, 33099])).
% 7.58/5.79 tff(33103,plain,
% 7.58/5.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191))))))),
% 7.58/5.79 inference(quant_inst,[status(thm)],[])).
% 7.58/5.79 tff(33104,plain,
% 7.58/5.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))),
% 7.58/5.79 inference(modus_ponens,[status(thm)],[33103, 33102])).
% 7.58/5.79 tff(33105,plain,
% 7.58/5.79 (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33104, 16468, 293])).
% 7.58/5.79 tff(33106,plain,
% 7.58/5.79 ((~v1(constB191)) <=> (~v1(constB191))),
% 7.58/5.79 inference(rewrite,[status(thm)],[])).
% 7.58/5.79 tff(33107,axiom,(~v1(constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_191')).
% 7.58/5.79 tff(33108,plain,
% 7.58/5.79 (~v1(constB191)),
% 7.58/5.79 inference(modus_ponens,[status(thm)],[33107, 33106])).
% 7.58/5.79 tff(33109,plain,
% 7.58/5.79 (((~v1(constB191)) | (~v102(constB191))) | v1(constB191)),
% 7.58/5.79 inference(tautology,[status(thm)],[])).
% 7.58/5.79 tff(33110,plain,
% 7.58/5.79 ((~v1(constB191)) | (~v102(constB191))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33109, 33108])).
% 7.58/5.79 tff(33111,plain,
% 7.58/5.79 ((~(v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))) | (~v101(constB191)) | (~((~v1(constB191)) | (~v102(constB191))))),
% 7.58/5.79 inference(tautology,[status(thm)],[])).
% 7.58/5.79 tff(33112,plain,
% 7.58/5.79 ((~(v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))) | (~v101(constB191))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33111, 33110])).
% 7.58/5.79 tff(33113,plain,
% 7.58/5.79 (~v101(constB191)),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33112, 33105])).
% 7.58/5.79 tff(33114,plain,
% 7.58/5.79 (((~v101(constB191)) | (~v110(constB191))) | v101(constB191)),
% 7.58/5.79 inference(tautology,[status(thm)],[])).
% 7.58/5.79 tff(33115,plain,
% 7.58/5.79 ((~v101(constB191)) | (~v110(constB191))),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33114, 33113])).
% 7.58/5.79 tff(33116,plain,
% 7.58/5.79 ((~(v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191)))))) | (~v100(constB191)) | (~((~v101(constB191)) | (~v110(constB191))))),
% 7.58/5.79 inference(tautology,[status(thm)],[])).
% 7.58/5.79 tff(33117,plain,
% 7.58/5.79 (~v100(constB191)),
% 7.58/5.79 inference(unit_resolution,[status(thm)],[33116, 33115, 33098])).
% 7.58/5.79 tff(33118,plain,
% 7.58/5.79 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 0)) <=> v90(constB190, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 0)) <=> v90(constB190, 0)))))),
% 7.61/5.79 inference(rewrite,[status(thm)],[])).
% 7.61/5.79 tff(33119,plain,
% 7.61/5.79 ((v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 0)) <=> v90(constB190, 0))))) <=> (v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 0)) <=> v90(constB190, 0)))))),
% 7.61/5.79 inference(rewrite,[status(thm)],[])).
% 7.61/5.79 tff(33120,plain,
% 7.61/5.79 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 0)) <=> v90(constB190, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 0)) <=> v90(constB190, 0))))))),
% 7.61/5.79 inference(monotonicity,[status(thm)],[33119])).
% 7.61/5.79 tff(33121,plain,
% 7.61/5.79 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 0)) <=> v90(constB190, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 0)) <=> v90(constB190, 0)))))),
% 7.61/5.79 inference(transitivity,[status(thm)],[33120, 33118])).
% 7.61/5.79 tff(33122,plain,
% 7.61/5.79 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 0)) <=> v90(constB190, 0)))))),
% 7.61/5.79 inference(quant_inst,[status(thm)],[])).
% 7.61/5.79 tff(33123,plain,
% 7.61/5.79 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 0)) <=> v90(constB190, 0))))),
% 7.61/5.79 inference(modus_ponens,[status(thm)],[33122, 33121])).
% 7.61/5.79 tff(33124,plain,
% 7.61/5.79 (v100(constB191) | (~(((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 0)) <=> v90(constB190, 0))))),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33123, 16468, 325])).
% 7.61/5.79 tff(33125,plain,
% 7.61/5.79 (~(((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 0)) <=> v90(constB190, 0)))),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33124, 33117])).
% 7.61/5.79 tff(33126,plain,
% 7.61/5.79 ((((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 0)) <=> v90(constB190, 0))) | (~((~v90(constB191, 2)) <=> v90(constB190, 2)))),
% 7.61/5.79 inference(tautology,[status(thm)],[])).
% 7.61/5.79 tff(33127,plain,
% 7.61/5.79 (~((~v90(constB191, 2)) <=> v90(constB190, 2))),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33126, 33125])).
% 7.61/5.79 tff(33128,plain,
% 7.61/5.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB189, constB190)) | (~(((~v129(constB190, 2)) <=> v127(constB189, 2)) | ((~v129(constB190, 1)) <=> v127(constB189, 1)) | ((~v129(constB190, 0)) <=> v127(constB189, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB189, constB190)) | (~(((~v129(constB190, 2)) <=> v127(constB189, 2)) | ((~v129(constB190, 1)) <=> v127(constB189, 1)) | ((~v129(constB190, 0)) <=> v127(constB189, 0)))))),
% 7.61/5.79 inference(rewrite,[status(thm)],[])).
% 7.61/5.79 tff(33129,plain,
% 7.61/5.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB189, constB190)) | (~(((~v129(constB190, 2)) <=> v127(constB189, 2)) | ((~v129(constB190, 1)) <=> v127(constB189, 1)) | ((~v129(constB190, 0)) <=> v127(constB189, 0)))))),
% 7.61/5.79 inference(quant_inst,[status(thm)],[])).
% 7.61/5.79 tff(33130,plain,
% 7.61/5.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB189, constB190)) | (~(((~v129(constB190, 2)) <=> v127(constB189, 2)) | ((~v129(constB190, 1)) <=> v127(constB189, 1)) | ((~v129(constB190, 0)) <=> v127(constB189, 0))))),
% 7.61/5.79 inference(modus_ponens,[status(thm)],[33129, 33128])).
% 7.61/5.79 tff(33131,plain,
% 7.61/5.79 (~(((~v129(constB190, 2)) <=> v127(constB189, 2)) | ((~v129(constB190, 1)) <=> v127(constB189, 1)) | ((~v129(constB190, 0)) <=> v127(constB189, 0)))),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33130, 16486, 348])).
% 7.61/5.79 tff(33132,plain,
% 7.61/5.79 ((((~v129(constB190, 2)) <=> v127(constB189, 2)) | ((~v129(constB190, 1)) <=> v127(constB189, 1)) | ((~v129(constB190, 0)) <=> v127(constB189, 0))) | (~((~v129(constB190, 2)) <=> v127(constB189, 2)))),
% 7.61/5.79 inference(tautology,[status(thm)],[])).
% 7.61/5.79 tff(33133,plain,
% 7.61/5.79 (~((~v129(constB190, 2)) <=> v127(constB189, 2))),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33132, 33131])).
% 7.61/5.79 tff(33134,plain,
% 7.61/5.79 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB189) <=> v26(constB189))),
% 7.61/5.79 inference(quant_inst,[status(thm)],[])).
% 7.61/5.79 tff(33135,plain,
% 7.61/5.79 (v111(constB189) <=> v26(constB189)),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33134, 367])).
% 7.61/5.79 tff(33136,plain,
% 7.61/5.79 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB189))),
% 7.61/5.79 inference(quant_inst,[status(thm)],[])).
% 7.61/5.79 tff(33137,plain,
% 7.61/5.79 (~v26(constB189)),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33136, 379])).
% 7.61/5.79 tff(33138,plain,
% 7.61/5.79 ((~(v111(constB189) <=> v26(constB189))) | (~v111(constB189)) | v26(constB189)),
% 7.61/5.79 inference(tautology,[status(thm)],[])).
% 7.61/5.79 tff(33139,plain,
% 7.61/5.79 ((~(v111(constB189) <=> v26(constB189))) | (~v111(constB189))),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33138, 33137])).
% 7.61/5.79 tff(33140,plain,
% 7.61/5.79 (~v111(constB189)),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33139, 33135])).
% 7.61/5.79 tff(33141,plain,
% 7.61/5.79 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB189) | (~(((~v127(constB189, 2)) <=> v130(constB189, 2)) | ((~v127(constB189, 1)) <=> v130(constB189, 1)) | ((~v127(constB189, 0)) <=> v130(constB189, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB189) | (~(((~v127(constB189, 2)) <=> v130(constB189, 2)) | ((~v127(constB189, 1)) <=> v130(constB189, 1)) | ((~v127(constB189, 0)) <=> v130(constB189, 0)))))),
% 7.61/5.79 inference(rewrite,[status(thm)],[])).
% 7.61/5.79 tff(33142,plain,
% 7.61/5.79 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB189) | (~(((~v127(constB189, 2)) <=> v130(constB189, 2)) | ((~v127(constB189, 1)) <=> v130(constB189, 1)) | ((~v127(constB189, 0)) <=> v130(constB189, 0)))))),
% 7.61/5.79 inference(quant_inst,[status(thm)],[])).
% 7.61/5.79 tff(33143,plain,
% 7.61/5.79 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB189) | (~(((~v127(constB189, 2)) <=> v130(constB189, 2)) | ((~v127(constB189, 1)) <=> v130(constB189, 1)) | ((~v127(constB189, 0)) <=> v130(constB189, 0))))),
% 7.61/5.79 inference(modus_ponens,[status(thm)],[33142, 33141])).
% 7.61/5.79 tff(33144,plain,
% 7.61/5.79 (v111(constB189) | (~(((~v127(constB189, 2)) <=> v130(constB189, 2)) | ((~v127(constB189, 1)) <=> v130(constB189, 1)) | ((~v127(constB189, 0)) <=> v130(constB189, 0))))),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33143, 397])).
% 7.61/5.79 tff(33145,plain,
% 7.61/5.79 (~(((~v127(constB189, 2)) <=> v130(constB189, 2)) | ((~v127(constB189, 1)) <=> v130(constB189, 1)) | ((~v127(constB189, 0)) <=> v130(constB189, 0)))),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33144, 33140])).
% 7.61/5.79 tff(33146,plain,
% 7.61/5.79 ((((~v127(constB189, 2)) <=> v130(constB189, 2)) | ((~v127(constB189, 1)) <=> v130(constB189, 1)) | ((~v127(constB189, 0)) <=> v130(constB189, 0))) | (~((~v127(constB189, 2)) <=> v130(constB189, 2)))),
% 7.61/5.79 inference(tautology,[status(thm)],[])).
% 7.61/5.79 tff(33147,plain,
% 7.61/5.79 (~((~v127(constB189, 2)) <=> v130(constB189, 2))),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33146, 33145])).
% 7.61/5.79 tff(33148,plain,
% 7.61/5.79 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB189) <=> (~(v90(constB189, 2) | v90(constB189, 0) | (~v90(constB189, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB189) <=> (~(v90(constB189, 2) | v90(constB189, 0) | (~v90(constB189, 1))))))),
% 7.61/5.79 inference(rewrite,[status(thm)],[])).
% 7.61/5.79 tff(33149,plain,
% 7.61/5.79 ((v121(constB189) <=> (~(v90(constB189, 0) | v90(constB189, 2) | (~v90(constB189, 1))))) <=> (v121(constB189) <=> (~(v90(constB189, 2) | v90(constB189, 0) | (~v90(constB189, 1)))))),
% 7.61/5.79 inference(rewrite,[status(thm)],[])).
% 7.61/5.79 tff(33150,plain,
% 7.61/5.79 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB189) <=> (~(v90(constB189, 0) | v90(constB189, 2) | (~v90(constB189, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB189) <=> (~(v90(constB189, 2) | v90(constB189, 0) | (~v90(constB189, 1))))))),
% 7.61/5.79 inference(monotonicity,[status(thm)],[33149])).
% 7.61/5.79 tff(33151,plain,
% 7.61/5.79 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB189) <=> (~(v90(constB189, 0) | v90(constB189, 2) | (~v90(constB189, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB189) <=> (~(v90(constB189, 2) | v90(constB189, 0) | (~v90(constB189, 1))))))),
% 7.61/5.79 inference(transitivity,[status(thm)],[33150, 33148])).
% 7.61/5.79 tff(33152,plain,
% 7.61/5.79 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB189) <=> (~(v90(constB189, 0) | v90(constB189, 2) | (~v90(constB189, 1)))))),
% 7.61/5.79 inference(quant_inst,[status(thm)],[])).
% 7.61/5.79 tff(33153,plain,
% 7.61/5.79 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB189) <=> (~(v90(constB189, 2) | v90(constB189, 0) | (~v90(constB189, 1)))))),
% 7.61/5.79 inference(modus_ponens,[status(thm)],[33152, 33151])).
% 7.61/5.79 tff(33154,plain,
% 7.61/5.79 (v121(constB189) <=> (~(v90(constB189, 2) | v90(constB189, 0) | (~v90(constB189, 1))))),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33153, 723])).
% 7.61/5.79 tff(33155,plain,
% 7.61/5.79 ((~(v90(constB189, 2) | v90(constB189, 0) | (~v90(constB189, 1)))) | v90(constB189, 2) | v90(constB189, 0) | (~v90(constB189, 1))),
% 7.61/5.79 inference(tautology,[status(thm)],[])).
% 7.61/5.79 tff(33156,plain,
% 7.61/5.79 (~(v90(constB189, 2) | v90(constB189, 0) | (~v90(constB189, 1)))),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33155, 23384, 23362, 23340])).
% 7.61/5.79 tff(33157,plain,
% 7.61/5.79 ((~(v121(constB189) <=> (~(v90(constB189, 2) | v90(constB189, 0) | (~v90(constB189, 1)))))) | v121(constB189) | (v90(constB189, 2) | v90(constB189, 0) | (~v90(constB189, 1)))),
% 7.61/5.79 inference(tautology,[status(thm)],[])).
% 7.61/5.79 tff(33158,plain,
% 7.61/5.79 (v121(constB189)),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33157, 33156, 33154])).
% 7.61/5.79 tff(33159,plain,
% 7.61/5.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB189)) | (~(v130(constB189, 2) | (~v130(constB189, 1)) | (~v130(constB189, 0)))))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB189)) | (~(v130(constB189, 2) | (~v130(constB189, 1)) | (~v130(constB189, 0)))))),
% 7.61/5.79 inference(rewrite,[status(thm)],[])).
% 7.61/5.79 tff(33160,plain,
% 7.61/5.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | ((~v121(constB189)) | (~(v130(constB189, 2) | (~v130(constB189, 1)) | (~v130(constB189, 0)))))),
% 7.61/5.79 inference(quant_inst,[status(thm)],[])).
% 7.61/5.79 tff(33161,plain,
% 7.61/5.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~(v130(VarCurr, 2) | (~v130(VarCurr, 1)) | (~v130(VarCurr, 0)))))) | (~v121(constB189)) | (~(v130(constB189, 2) | (~v130(constB189, 1)) | (~v130(constB189, 0))))),
% 7.61/5.79 inference(modus_ponens,[status(thm)],[33160, 33159])).
% 7.61/5.79 tff(33162,plain,
% 7.61/5.79 ((~v121(constB189)) | (~(v130(constB189, 2) | (~v130(constB189, 1)) | (~v130(constB189, 0))))),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33161, 5420])).
% 7.61/5.79 tff(33163,plain,
% 7.61/5.79 (~(v130(constB189, 2) | (~v130(constB189, 1)) | (~v130(constB189, 0)))),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33162, 33158])).
% 7.61/5.79 tff(33164,plain,
% 7.61/5.79 ((v130(constB189, 2) | (~v130(constB189, 1)) | (~v130(constB189, 0))) | (~v130(constB189, 2))),
% 7.61/5.79 inference(tautology,[status(thm)],[])).
% 7.61/5.79 tff(33165,plain,
% 7.61/5.79 (~v130(constB189, 2)),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33164, 33163])).
% 7.61/5.79 tff(33166,plain,
% 7.61/5.79 (((~v127(constB189, 2)) <=> v130(constB189, 2)) | (~v127(constB189, 2)) | v130(constB189, 2)),
% 7.61/5.79 inference(tautology,[status(thm)],[])).
% 7.61/5.79 tff(33167,plain,
% 7.61/5.79 (~v127(constB189, 2)),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33166, 33165, 33147])).
% 7.61/5.79 tff(33168,plain,
% 7.61/5.79 (((~v129(constB190, 2)) <=> v127(constB189, 2)) | (~v129(constB190, 2)) | v127(constB189, 2)),
% 7.61/5.79 inference(tautology,[status(thm)],[])).
% 7.61/5.79 tff(33169,plain,
% 7.61/5.79 (~v129(constB190, 2)),
% 7.61/5.79 inference(unit_resolution,[status(thm)],[33168, 33167, 33133])).
% 7.61/5.80 tff(33170,plain,
% 7.61/5.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33171,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33172,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190)))))),
% 7.61/5.80 inference(modus_ponens,[status(thm)],[33171, 33170])).
% 7.61/5.80 tff(33173,plain,
% 7.61/5.80 (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33172, 16486, 273])).
% 7.61/5.80 tff(33174,plain,
% 7.61/5.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33175,plain,
% 7.61/5.80 (((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190)))))) <=> ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33176,plain,
% 7.61/5.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))))),
% 7.61/5.80 inference(monotonicity,[status(thm)],[33175])).
% 7.61/5.80 tff(33177,plain,
% 7.61/5.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))),
% 7.61/5.80 inference(transitivity,[status(thm)],[33176, 33174])).
% 7.61/5.80 tff(33178,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190))))))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33179,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))),
% 7.61/5.80 inference(modus_ponens,[status(thm)],[33178, 33177])).
% 7.61/5.80 tff(33180,plain,
% 7.61/5.80 (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33179, 16486, 293])).
% 7.61/5.80 tff(33181,plain,
% 7.61/5.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190)))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33182,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190)))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33183,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190))),
% 7.61/5.80 inference(modus_ponens,[status(thm)],[33182, 33181])).
% 7.61/5.80 tff(33184,plain,
% 7.61/5.80 ((~v102(constB190)) <=> v104(constB190)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33183, 16486, 4609])).
% 7.61/5.80 tff(33185,plain,
% 7.61/5.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189)))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33186,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189)))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33187,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189))),
% 7.61/5.80 inference(modus_ponens,[status(thm)],[33186, 33185])).
% 7.61/5.80 tff(33188,plain,
% 7.61/5.80 (v104(constB190) <=> v1(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33187, 16486, 4623])).
% 7.61/5.80 tff(33189,plain,
% 7.61/5.80 ((~(v104(constB190) <=> v1(constB189))) | (~v104(constB190)) | v1(constB189)),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33190,plain,
% 7.61/5.80 ((~(v104(constB190) <=> v1(constB189))) | (~v104(constB190))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33189, 16605])).
% 7.61/5.80 tff(33191,plain,
% 7.61/5.80 (~v104(constB190)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33190, 33188])).
% 7.61/5.80 tff(33192,plain,
% 7.61/5.80 ((~((~v102(constB190)) <=> v104(constB190))) | v102(constB190) | v104(constB190)),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33193,plain,
% 7.61/5.80 (v102(constB190)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33192, 33191, 33184])).
% 7.61/5.80 tff(33194,plain,
% 7.61/5.80 ((~((~v1(constB190)) | (~v102(constB190)))) | (~v1(constB190)) | (~v102(constB190))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33195,plain,
% 7.61/5.80 ((~((~v1(constB190)) | (~v102(constB190)))) | (~v102(constB190))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33194, 16582])).
% 7.61/5.80 tff(33196,plain,
% 7.61/5.80 (~((~v1(constB190)) | (~v102(constB190)))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33195, 33193])).
% 7.61/5.80 tff(33197,plain,
% 7.61/5.80 ((~(v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))) | v101(constB190) | ((~v1(constB190)) | (~v102(constB190)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33198,plain,
% 7.61/5.80 (v101(constB190)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33197, 33196, 33180])).
% 7.61/5.80 tff(33199,plain,
% 7.61/5.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189)))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33200,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189)))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33201,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189))),
% 7.61/5.80 inference(modus_ponens,[status(thm)],[33200, 33199])).
% 7.61/5.80 tff(33202,plain,
% 7.61/5.80 (v110(constB190) <=> v108(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33201, 16486, 4650])).
% 7.61/5.80 tff(33203,plain,
% 7.61/5.80 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB189) <=> (v111(constB189) | v112(constB189)))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33204,plain,
% 7.61/5.80 (v108(constB189) <=> (v111(constB189) | v112(constB189))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33203, 4661])).
% 7.61/5.80 tff(33205,plain,
% 7.61/5.80 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189)))))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33206,plain,
% 7.61/5.80 (v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189))))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33205, 4673])).
% 7.61/5.80 tff(33207,plain,
% 7.61/5.80 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB189) <=> (v114(constB189) | v125(constB189)))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33208,plain,
% 7.61/5.80 (v113(constB189) <=> (v114(constB189) | v125(constB189))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33207, 4682])).
% 7.61/5.80 tff(33209,plain,
% 7.61/5.80 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB189) <=> (v115(constB189) | v124(constB189)))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33210,plain,
% 7.61/5.80 (v114(constB189) <=> (v115(constB189) | v124(constB189))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33209, 4691])).
% 7.61/5.80 tff(33211,plain,
% 7.61/5.80 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB189) <=> (v116(constB189) | v123(constB189)))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33212,plain,
% 7.61/5.80 (v115(constB189) <=> (v116(constB189) | v123(constB189))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33211, 4700])).
% 7.61/5.80 tff(33213,plain,
% 7.61/5.80 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB189) <=> (v117(constB189) | v122(constB189)))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33214,plain,
% 7.61/5.80 (v116(constB189) <=> (v117(constB189) | v122(constB189))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33213, 4709])).
% 7.61/5.80 tff(33215,plain,
% 7.61/5.80 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB189) <=> (v118(constB189) | v121(constB189)))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33216,plain,
% 7.61/5.80 (v117(constB189) <=> (v118(constB189) | v121(constB189))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33215, 4718])).
% 7.61/5.80 tff(33217,plain,
% 7.61/5.80 ((v118(constB189) | v121(constB189)) | (~v121(constB189))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33218,plain,
% 7.61/5.80 (v118(constB189) | v121(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33217, 33158])).
% 7.61/5.80 tff(33219,plain,
% 7.61/5.80 ((~(v117(constB189) <=> (v118(constB189) | v121(constB189)))) | v117(constB189) | (~(v118(constB189) | v121(constB189)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33220,plain,
% 7.61/5.80 (v117(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33219, 33218, 33216])).
% 7.61/5.80 tff(33221,plain,
% 7.61/5.80 ((v117(constB189) | v122(constB189)) | (~v117(constB189))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33222,plain,
% 7.61/5.80 (v117(constB189) | v122(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33221, 33220])).
% 7.61/5.80 tff(33223,plain,
% 7.61/5.80 ((~(v116(constB189) <=> (v117(constB189) | v122(constB189)))) | v116(constB189) | (~(v117(constB189) | v122(constB189)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33224,plain,
% 7.61/5.80 (v116(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33223, 33222, 33214])).
% 7.61/5.80 tff(33225,plain,
% 7.61/5.80 ((v116(constB189) | v123(constB189)) | (~v116(constB189))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33226,plain,
% 7.61/5.80 (v116(constB189) | v123(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33225, 33224])).
% 7.61/5.80 tff(33227,plain,
% 7.61/5.80 ((~(v115(constB189) <=> (v116(constB189) | v123(constB189)))) | v115(constB189) | (~(v116(constB189) | v123(constB189)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33228,plain,
% 7.61/5.80 (v115(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33227, 33226, 33212])).
% 7.61/5.80 tff(33229,plain,
% 7.61/5.80 ((v115(constB189) | v124(constB189)) | (~v115(constB189))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33230,plain,
% 7.61/5.80 (v115(constB189) | v124(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33229, 33228])).
% 7.61/5.80 tff(33231,plain,
% 7.61/5.80 ((~(v114(constB189) <=> (v115(constB189) | v124(constB189)))) | v114(constB189) | (~(v115(constB189) | v124(constB189)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33232,plain,
% 7.61/5.80 (v114(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33231, 33230, 33210])).
% 7.61/5.80 tff(33233,plain,
% 7.61/5.80 ((v114(constB189) | v125(constB189)) | (~v114(constB189))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33234,plain,
% 7.61/5.80 (v114(constB189) | v125(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33233, 33232])).
% 7.61/5.80 tff(33235,plain,
% 7.61/5.80 ((~(v113(constB189) <=> (v114(constB189) | v125(constB189)))) | v113(constB189) | (~(v114(constB189) | v125(constB189)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33236,plain,
% 7.61/5.80 (v113(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33235, 33234, 33208])).
% 7.61/5.80 tff(33237,plain,
% 7.61/5.80 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB189)) <=> v111(constB189))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33238,plain,
% 7.61/5.80 ((~v126(constB189)) <=> v111(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33237, 4761])).
% 7.61/5.80 tff(33239,plain,
% 7.61/5.80 ((~((~v126(constB189)) <=> v111(constB189))) | v126(constB189) | v111(constB189)),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33240,plain,
% 7.61/5.80 ((~((~v126(constB189)) <=> v111(constB189))) | v126(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33239, 33140])).
% 7.61/5.80 tff(33241,plain,
% 7.61/5.80 (v126(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33240, 33238])).
% 7.61/5.80 tff(33242,plain,
% 7.61/5.80 ((~((~v113(constB189)) | (~v126(constB189)))) | (~v113(constB189)) | (~v126(constB189))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33243,plain,
% 7.61/5.80 ((~((~v113(constB189)) | (~v126(constB189)))) | (~v113(constB189))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33242, 33241])).
% 7.61/5.80 tff(33244,plain,
% 7.61/5.80 (~((~v113(constB189)) | (~v126(constB189)))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33243, 33236])).
% 7.61/5.80 tff(33245,plain,
% 7.61/5.80 ((~(v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189)))))) | v112(constB189) | ((~v113(constB189)) | (~v126(constB189)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33246,plain,
% 7.61/5.80 (v112(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33245, 33244, 33206])).
% 7.61/5.80 tff(33247,plain,
% 7.61/5.80 ((v111(constB189) | v112(constB189)) | (~v112(constB189))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33248,plain,
% 7.61/5.80 (v111(constB189) | v112(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33247, 33246])).
% 7.61/5.80 tff(33249,plain,
% 7.61/5.80 ((~(v108(constB189) <=> (v111(constB189) | v112(constB189)))) | v108(constB189) | (~(v111(constB189) | v112(constB189)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33250,plain,
% 7.61/5.80 (v108(constB189)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33249, 33248, 33204])).
% 7.61/5.80 tff(33251,plain,
% 7.61/5.80 ((~(v110(constB190) <=> v108(constB189))) | v110(constB190) | (~v108(constB189))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33252,plain,
% 7.61/5.80 (v110(constB190)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33251, 33250, 33202])).
% 7.61/5.80 tff(33253,plain,
% 7.61/5.80 ((~((~v101(constB190)) | (~v110(constB190)))) | (~v101(constB190)) | (~v110(constB190))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33254,plain,
% 7.61/5.80 (~((~v101(constB190)) | (~v110(constB190)))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33253, 33252, 33198])).
% 7.61/5.80 tff(33255,plain,
% 7.61/5.80 ((~(v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190)))))) | v100(constB190) | ((~v101(constB190)) | (~v110(constB190)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33256,plain,
% 7.61/5.80 (v100(constB190)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33255, 33254, 33173])).
% 7.61/5.80 tff(33257,plain,
% 7.61/5.80 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB190)) | (~(((~v90(constB190, 0)) <=> v129(constB190, 0)) | ((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB190)) | (~(((~v90(constB190, 0)) <=> v129(constB190, 0)) | ((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1)))))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33258,plain,
% 7.61/5.80 (((~v100(constB190)) | (~(((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1)) | ((~v90(constB190, 0)) <=> v129(constB190, 0))))) <=> ((~v100(constB190)) | (~(((~v90(constB190, 0)) <=> v129(constB190, 0)) | ((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1)))))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33259,plain,
% 7.61/5.80 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB190)) | (~(((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1)) | ((~v90(constB190, 0)) <=> v129(constB190, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB190)) | (~(((~v90(constB190, 0)) <=> v129(constB190, 0)) | ((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1))))))),
% 7.61/5.80 inference(monotonicity,[status(thm)],[33258])).
% 7.61/5.80 tff(33260,plain,
% 7.61/5.80 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB190)) | (~(((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1)) | ((~v90(constB190, 0)) <=> v129(constB190, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB190)) | (~(((~v90(constB190, 0)) <=> v129(constB190, 0)) | ((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1)))))),
% 7.61/5.80 inference(transitivity,[status(thm)],[33259, 33257])).
% 7.61/5.80 tff(33261,plain,
% 7.61/5.80 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB190)) | (~(((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1)) | ((~v90(constB190, 0)) <=> v129(constB190, 0)))))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33262,plain,
% 7.61/5.80 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB190)) | (~(((~v90(constB190, 0)) <=> v129(constB190, 0)) | ((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1))))),
% 7.61/5.80 inference(modus_ponens,[status(thm)],[33261, 33260])).
% 7.61/5.80 tff(33263,plain,
% 7.61/5.80 ((~v100(constB190)) | (~(((~v90(constB190, 0)) <=> v129(constB190, 0)) | ((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1))))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33262, 4794])).
% 7.61/5.80 tff(33264,plain,
% 7.61/5.80 (~(((~v90(constB190, 0)) <=> v129(constB190, 0)) | ((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1)))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33263, 33256])).
% 7.61/5.80 tff(33265,plain,
% 7.61/5.80 ((((~v90(constB190, 0)) <=> v129(constB190, 0)) | ((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1))) | (~((~v90(constB190, 2)) <=> v129(constB190, 2)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33266,plain,
% 7.61/5.80 (~((~v90(constB190, 2)) <=> v129(constB190, 2))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33265, 33264])).
% 7.61/5.80 tff(33267,plain,
% 7.61/5.80 (((~v90(constB190, 2)) <=> v129(constB190, 2)) | (~v90(constB190, 2)) | v129(constB190, 2)),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33268,plain,
% 7.61/5.80 (~v90(constB190, 2)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33267, 33266, 33169])).
% 7.61/5.80 tff(33269,plain,
% 7.61/5.80 (((~v90(constB191, 2)) <=> v90(constB190, 2)) | (~v90(constB191, 2)) | v90(constB190, 2)),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33270,plain,
% 7.61/5.80 (~v90(constB191, 2)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33269, 33268, 33127])).
% 7.61/5.80 tff(33271,plain,
% 7.61/5.80 ((((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 0)) <=> v90(constB190, 0))) | (~((~v90(constB191, 0)) <=> v90(constB190, 0)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33272,plain,
% 7.61/5.80 (~((~v90(constB191, 0)) <=> v90(constB190, 0))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33271, 33125])).
% 7.61/5.80 tff(33273,plain,
% 7.61/5.80 ((((~v129(constB190, 2)) <=> v127(constB189, 2)) | ((~v129(constB190, 1)) <=> v127(constB189, 1)) | ((~v129(constB190, 0)) <=> v127(constB189, 0))) | (~((~v129(constB190, 0)) <=> v127(constB189, 0)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33274,plain,
% 7.61/5.80 (~((~v129(constB190, 0)) <=> v127(constB189, 0))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33273, 33131])).
% 7.61/5.80 tff(33275,plain,
% 7.61/5.80 ((((~v127(constB189, 2)) <=> v130(constB189, 2)) | ((~v127(constB189, 1)) <=> v130(constB189, 1)) | ((~v127(constB189, 0)) <=> v130(constB189, 0))) | (~((~v127(constB189, 0)) <=> v130(constB189, 0)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33276,plain,
% 7.61/5.80 (~((~v127(constB189, 0)) <=> v130(constB189, 0))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33275, 33145])).
% 7.61/5.80 tff(33277,plain,
% 7.61/5.80 ((v130(constB189, 2) | (~v130(constB189, 1)) | (~v130(constB189, 0))) | v130(constB189, 0)),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33278,plain,
% 7.61/5.80 (v130(constB189, 0)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33277, 33163])).
% 7.61/5.80 tff(33279,plain,
% 7.61/5.80 (((~v127(constB189, 0)) <=> v130(constB189, 0)) | v127(constB189, 0) | (~v130(constB189, 0))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33280,plain,
% 7.61/5.80 (v127(constB189, 0)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33279, 33278, 33276])).
% 7.61/5.80 tff(33281,plain,
% 7.61/5.80 (((~v129(constB190, 0)) <=> v127(constB189, 0)) | v129(constB190, 0) | (~v127(constB189, 0))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33282,plain,
% 7.61/5.80 (v129(constB190, 0)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33281, 33280, 33274])).
% 7.61/5.80 tff(33283,plain,
% 7.61/5.80 ((((~v90(constB190, 0)) <=> v129(constB190, 0)) | ((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1))) | (~((~v90(constB190, 0)) <=> v129(constB190, 0)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33284,plain,
% 7.61/5.80 (~((~v90(constB190, 0)) <=> v129(constB190, 0))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33283, 33264])).
% 7.61/5.80 tff(33285,plain,
% 7.61/5.80 (((~v90(constB190, 0)) <=> v129(constB190, 0)) | v90(constB190, 0) | (~v129(constB190, 0))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33286,plain,
% 7.61/5.80 (v90(constB190, 0)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33285, 33284, 33282])).
% 7.61/5.80 tff(33287,plain,
% 7.61/5.80 (((~v90(constB191, 0)) <=> v90(constB190, 0)) | v90(constB191, 0) | (~v90(constB190, 0))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33288,plain,
% 7.61/5.80 (v90(constB191, 0)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33287, 33286, 33272])).
% 7.61/5.80 tff(33289,plain,
% 7.61/5.80 ((((~v90(constB191, 1)) <=> v90(constB190, 1)) | ((~v90(constB191, 2)) <=> v90(constB190, 2)) | ((~v90(constB191, 0)) <=> v90(constB190, 0))) | (~((~v90(constB191, 1)) <=> v90(constB190, 1)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33290,plain,
% 7.61/5.80 (~((~v90(constB191, 1)) <=> v90(constB190, 1))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33289, 33125])).
% 7.61/5.80 tff(33291,plain,
% 7.61/5.80 ((((~v129(constB190, 2)) <=> v127(constB189, 2)) | ((~v129(constB190, 1)) <=> v127(constB189, 1)) | ((~v129(constB190, 0)) <=> v127(constB189, 0))) | (~((~v129(constB190, 1)) <=> v127(constB189, 1)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33292,plain,
% 7.61/5.80 (~((~v129(constB190, 1)) <=> v127(constB189, 1))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33291, 33131])).
% 7.61/5.80 tff(33293,plain,
% 7.61/5.80 ((((~v127(constB189, 2)) <=> v130(constB189, 2)) | ((~v127(constB189, 1)) <=> v130(constB189, 1)) | ((~v127(constB189, 0)) <=> v130(constB189, 0))) | (~((~v127(constB189, 1)) <=> v130(constB189, 1)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33294,plain,
% 7.61/5.80 (~((~v127(constB189, 1)) <=> v130(constB189, 1))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33293, 33145])).
% 7.61/5.80 tff(33295,plain,
% 7.61/5.80 ((v130(constB189, 2) | (~v130(constB189, 1)) | (~v130(constB189, 0))) | v130(constB189, 1)),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33296,plain,
% 7.61/5.80 (v130(constB189, 1)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33295, 33163])).
% 7.61/5.80 tff(33297,plain,
% 7.61/5.80 (((~v127(constB189, 1)) <=> v130(constB189, 1)) | v127(constB189, 1) | (~v130(constB189, 1))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33298,plain,
% 7.61/5.80 (v127(constB189, 1)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33297, 33296, 33294])).
% 7.61/5.80 tff(33299,plain,
% 7.61/5.80 (((~v129(constB190, 1)) <=> v127(constB189, 1)) | v129(constB190, 1) | (~v127(constB189, 1))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33300,plain,
% 7.61/5.80 (v129(constB190, 1)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33299, 33298, 33292])).
% 7.61/5.80 tff(33301,plain,
% 7.61/5.80 ((((~v90(constB190, 0)) <=> v129(constB190, 0)) | ((~v90(constB190, 2)) <=> v129(constB190, 2)) | ((~v90(constB190, 1)) <=> v129(constB190, 1))) | (~((~v90(constB190, 1)) <=> v129(constB190, 1)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33302,plain,
% 7.61/5.80 (~((~v90(constB190, 1)) <=> v129(constB190, 1))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33301, 33264])).
% 7.61/5.80 tff(33303,plain,
% 7.61/5.80 (((~v90(constB190, 1)) <=> v129(constB190, 1)) | v90(constB190, 1) | (~v129(constB190, 1))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33304,plain,
% 7.61/5.80 (v90(constB190, 1)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33303, 33302, 33300])).
% 7.61/5.80 tff(33305,plain,
% 7.61/5.80 (((~v90(constB191, 1)) <=> v90(constB190, 1)) | v90(constB191, 1) | (~v90(constB190, 1))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33306,plain,
% 7.61/5.80 (v90(constB191, 1)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33305, 33304, 33290])).
% 7.61/5.80 tff(33307,plain,
% 7.61/5.80 ((~(v90(constB191, 2) | (~v90(constB191, 1)) | (~v90(constB191, 0)))) | v90(constB191, 2) | (~v90(constB191, 1)) | (~v90(constB191, 0))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33308,plain,
% 7.61/5.80 (~(v90(constB191, 2) | (~v90(constB191, 1)) | (~v90(constB191, 0)))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33307, 33306, 33288, 33270])).
% 7.61/5.80 tff(33309,plain,
% 7.61/5.80 ((~(v122(constB191) <=> (~(v90(constB191, 2) | (~v90(constB191, 1)) | (~v90(constB191, 0)))))) | v122(constB191) | (v90(constB191, 2) | (~v90(constB191, 1)) | (~v90(constB191, 0)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33310,plain,
% 7.61/5.80 (v122(constB191)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33309, 33308, 33094])).
% 7.61/5.80 tff(33311,plain,
% 7.61/5.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB191)) | (~(v130(constB191, 1) | v130(constB191, 0) | (~v130(constB191, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB191)) | (~(v130(constB191, 1) | v130(constB191, 0) | (~v130(constB191, 2)))))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33312,plain,
% 7.61/5.80 (((~v122(constB191)) | (~(v130(constB191, 0) | v130(constB191, 1) | (~v130(constB191, 2))))) <=> ((~v122(constB191)) | (~(v130(constB191, 1) | v130(constB191, 0) | (~v130(constB191, 2)))))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33313,plain,
% 7.61/5.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB191)) | (~(v130(constB191, 0) | v130(constB191, 1) | (~v130(constB191, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB191)) | (~(v130(constB191, 1) | v130(constB191, 0) | (~v130(constB191, 2))))))),
% 7.61/5.80 inference(monotonicity,[status(thm)],[33312])).
% 7.61/5.80 tff(33314,plain,
% 7.61/5.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB191)) | (~(v130(constB191, 0) | v130(constB191, 1) | (~v130(constB191, 2)))))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB191)) | (~(v130(constB191, 1) | v130(constB191, 0) | (~v130(constB191, 2)))))),
% 7.61/5.80 inference(transitivity,[status(thm)],[33313, 33311])).
% 7.61/5.80 tff(33315,plain,
% 7.61/5.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | ((~v122(constB191)) | (~(v130(constB191, 0) | v130(constB191, 1) | (~v130(constB191, 2)))))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33316,plain,
% 7.61/5.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 1) | (~v130(VarCurr, 2)))))) | (~v122(constB191)) | (~(v130(constB191, 1) | v130(constB191, 0) | (~v130(constB191, 2))))),
% 7.61/5.80 inference(modus_ponens,[status(thm)],[33315, 33314])).
% 7.61/5.80 tff(33317,plain,
% 7.61/5.80 ((~v122(constB191)) | (~(v130(constB191, 1) | v130(constB191, 0) | (~v130(constB191, 2))))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33316, 5588])).
% 7.61/5.80 tff(33318,plain,
% 7.61/5.80 (~(v130(constB191, 1) | v130(constB191, 0) | (~v130(constB191, 2)))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33317, 33310])).
% 7.61/5.80 tff(33319,plain,
% 7.61/5.80 ((v130(constB191, 1) | v130(constB191, 0) | (~v130(constB191, 2))) | v130(constB191, 2)),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33320,plain,
% 7.61/5.80 (v130(constB191, 2)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33319, 33318])).
% 7.61/5.80 tff(33321,plain,
% 7.61/5.80 (((~v127(constB191, 2)) <=> v130(constB191, 2)) | v127(constB191, 2) | (~v130(constB191, 2))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33322,plain,
% 7.61/5.80 (v127(constB191, 2)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33321, 33320, 33087])).
% 7.61/5.80 tff(33323,plain,
% 7.61/5.80 (((~v129(constB192, 2)) <=> v127(constB191, 2)) | v129(constB192, 2) | (~v127(constB191, 2))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33324,plain,
% 7.61/5.80 (v129(constB192, 2)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33323, 33322, 33073])).
% 7.61/5.80 tff(33325,plain,
% 7.61/5.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33326,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33327,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192)))))),
% 7.61/5.80 inference(modus_ponens,[status(thm)],[33326, 33325])).
% 7.61/5.80 tff(33328,plain,
% 7.61/5.80 (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33327, 33067, 273])).
% 7.61/5.80 tff(33329,plain,
% 7.61/5.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33330,plain,
% 7.61/5.80 (((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192)))))) <=> ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33331,plain,
% 7.61/5.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))))),
% 7.61/5.80 inference(monotonicity,[status(thm)],[33330])).
% 7.61/5.80 tff(33332,plain,
% 7.61/5.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))),
% 7.61/5.80 inference(transitivity,[status(thm)],[33331, 33329])).
% 7.61/5.80 tff(33333,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192))))))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33334,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))),
% 7.61/5.80 inference(modus_ponens,[status(thm)],[33333, 33332])).
% 7.61/5.80 tff(33335,plain,
% 7.61/5.80 (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33334, 33067, 293])).
% 7.61/5.80 tff(33336,plain,
% 7.61/5.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192)))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33337,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192)))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33338,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192))),
% 7.61/5.80 inference(modus_ponens,[status(thm)],[33337, 33336])).
% 7.61/5.80 tff(33339,plain,
% 7.61/5.80 ((~v102(constB192)) <=> v104(constB192)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33338, 33067, 4609])).
% 7.61/5.80 tff(33340,plain,
% 7.61/5.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191)))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33341,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191)))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33342,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191))),
% 7.61/5.80 inference(modus_ponens,[status(thm)],[33341, 33340])).
% 7.61/5.80 tff(33343,plain,
% 7.61/5.80 (v104(constB192) <=> v1(constB191)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33342, 33067, 4623])).
% 7.61/5.80 tff(33344,plain,
% 7.61/5.80 ((~(v104(constB192) <=> v1(constB191))) | (~v104(constB192)) | v1(constB191)),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33345,plain,
% 7.61/5.80 ((~(v104(constB192) <=> v1(constB191))) | (~v104(constB192))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33344, 33108])).
% 7.61/5.80 tff(33346,plain,
% 7.61/5.80 (~v104(constB192)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33345, 33343])).
% 7.61/5.80 tff(33347,plain,
% 7.61/5.80 ((~((~v102(constB192)) <=> v104(constB192))) | v102(constB192) | v104(constB192)),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33348,plain,
% 7.61/5.80 (v102(constB192)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33347, 33346, 33339])).
% 7.61/5.80 tff(33349,plain,
% 7.61/5.80 ((~((~v1(constB192)) | (~v102(constB192)))) | (~v1(constB192)) | (~v102(constB192))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33350,plain,
% 7.61/5.80 ((~((~v1(constB192)) | (~v102(constB192)))) | (~v102(constB192))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33349, 32887])).
% 7.61/5.80 tff(33351,plain,
% 7.61/5.80 (~((~v1(constB192)) | (~v102(constB192)))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33350, 33348])).
% 7.61/5.80 tff(33352,plain,
% 7.61/5.80 ((~(v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))) | v101(constB192) | ((~v1(constB192)) | (~v102(constB192)))),
% 7.61/5.80 inference(tautology,[status(thm)],[])).
% 7.61/5.80 tff(33353,plain,
% 7.61/5.80 (v101(constB192)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33352, 33351, 33335])).
% 7.61/5.80 tff(33354,plain,
% 7.61/5.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191)))),
% 7.61/5.80 inference(rewrite,[status(thm)],[])).
% 7.61/5.80 tff(33355,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191)))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33356,plain,
% 7.61/5.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191))),
% 7.61/5.80 inference(modus_ponens,[status(thm)],[33355, 33354])).
% 7.61/5.80 tff(33357,plain,
% 7.61/5.80 (v110(constB192) <=> v108(constB191)),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33356, 33067, 4650])).
% 7.61/5.80 tff(33358,plain,
% 7.61/5.80 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB191) <=> (v111(constB191) | v112(constB191)))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33359,plain,
% 7.61/5.80 (v108(constB191) <=> (v111(constB191) | v112(constB191))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33358, 4661])).
% 7.61/5.80 tff(33360,plain,
% 7.61/5.80 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191)))))),
% 7.61/5.80 inference(quant_inst,[status(thm)],[])).
% 7.61/5.80 tff(33361,plain,
% 7.61/5.80 (v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191))))),
% 7.61/5.80 inference(unit_resolution,[status(thm)],[33360, 4673])).
% 7.61/5.80 tff(33362,plain,
% 7.61/5.80 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB191) <=> (v114(constB191) | v125(constB191)))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33363,plain,
% 7.61/5.81 (v113(constB191) <=> (v114(constB191) | v125(constB191))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33362, 4682])).
% 7.61/5.81 tff(33364,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB191) <=> (v115(constB191) | v124(constB191)))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33365,plain,
% 7.61/5.81 (v114(constB191) <=> (v115(constB191) | v124(constB191))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33364, 4691])).
% 7.61/5.81 tff(33366,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB191) <=> (v116(constB191) | v123(constB191)))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33367,plain,
% 7.61/5.81 (v115(constB191) <=> (v116(constB191) | v123(constB191))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33366, 4700])).
% 7.61/5.81 tff(33368,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB191) <=> (v117(constB191) | v122(constB191)))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33369,plain,
% 7.61/5.81 (v116(constB191) <=> (v117(constB191) | v122(constB191))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33368, 4709])).
% 7.61/5.81 tff(33370,plain,
% 7.61/5.81 ((v117(constB191) | v122(constB191)) | (~v122(constB191))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33371,plain,
% 7.61/5.81 (v117(constB191) | v122(constB191)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33370, 33310])).
% 7.61/5.81 tff(33372,plain,
% 7.61/5.81 ((~(v116(constB191) <=> (v117(constB191) | v122(constB191)))) | v116(constB191) | (~(v117(constB191) | v122(constB191)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33373,plain,
% 7.61/5.81 (v116(constB191)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33372, 33371, 33369])).
% 7.61/5.81 tff(33374,plain,
% 7.61/5.81 ((v116(constB191) | v123(constB191)) | (~v116(constB191))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33375,plain,
% 7.61/5.81 (v116(constB191) | v123(constB191)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33374, 33373])).
% 7.61/5.81 tff(33376,plain,
% 7.61/5.81 ((~(v115(constB191) <=> (v116(constB191) | v123(constB191)))) | v115(constB191) | (~(v116(constB191) | v123(constB191)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33377,plain,
% 7.61/5.81 (v115(constB191)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33376, 33375, 33367])).
% 7.61/5.81 tff(33378,plain,
% 7.61/5.81 ((v115(constB191) | v124(constB191)) | (~v115(constB191))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33379,plain,
% 7.61/5.81 (v115(constB191) | v124(constB191)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33378, 33377])).
% 7.61/5.81 tff(33380,plain,
% 7.61/5.81 ((~(v114(constB191) <=> (v115(constB191) | v124(constB191)))) | v114(constB191) | (~(v115(constB191) | v124(constB191)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33381,plain,
% 7.61/5.81 (v114(constB191)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33380, 33379, 33365])).
% 7.61/5.81 tff(33382,plain,
% 7.61/5.81 ((v114(constB191) | v125(constB191)) | (~v114(constB191))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33383,plain,
% 7.61/5.81 (v114(constB191) | v125(constB191)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33382, 33381])).
% 7.61/5.81 tff(33384,plain,
% 7.61/5.81 ((~(v113(constB191) <=> (v114(constB191) | v125(constB191)))) | v113(constB191) | (~(v114(constB191) | v125(constB191)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33385,plain,
% 7.61/5.81 (v113(constB191)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33384, 33383, 33363])).
% 7.61/5.81 tff(33386,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB191)) <=> v111(constB191))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33387,plain,
% 7.61/5.81 ((~v126(constB191)) <=> v111(constB191)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33386, 4761])).
% 7.61/5.81 tff(33388,plain,
% 7.61/5.81 ((~((~v126(constB191)) <=> v111(constB191))) | v126(constB191) | v111(constB191)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33389,plain,
% 7.61/5.81 ((~((~v126(constB191)) <=> v111(constB191))) | v126(constB191)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33388, 33080])).
% 7.61/5.81 tff(33390,plain,
% 7.61/5.81 (v126(constB191)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33389, 33387])).
% 7.61/5.81 tff(33391,plain,
% 7.61/5.81 ((~((~v113(constB191)) | (~v126(constB191)))) | (~v113(constB191)) | (~v126(constB191))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33392,plain,
% 7.61/5.81 ((~((~v113(constB191)) | (~v126(constB191)))) | (~v113(constB191))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33391, 33390])).
% 7.61/5.81 tff(33393,plain,
% 7.61/5.81 (~((~v113(constB191)) | (~v126(constB191)))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33392, 33385])).
% 7.61/5.81 tff(33394,plain,
% 7.61/5.81 ((~(v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191)))))) | v112(constB191) | ((~v113(constB191)) | (~v126(constB191)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33395,plain,
% 7.61/5.81 (v112(constB191)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33394, 33393, 33361])).
% 7.61/5.81 tff(33396,plain,
% 7.61/5.81 ((v111(constB191) | v112(constB191)) | (~v112(constB191))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33397,plain,
% 7.61/5.81 (v111(constB191) | v112(constB191)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33396, 33395])).
% 7.61/5.81 tff(33398,plain,
% 7.61/5.81 ((~(v108(constB191) <=> (v111(constB191) | v112(constB191)))) | v108(constB191) | (~(v111(constB191) | v112(constB191)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33399,plain,
% 7.61/5.81 (v108(constB191)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33398, 33397, 33359])).
% 7.61/5.81 tff(33400,plain,
% 7.61/5.81 ((~(v110(constB192) <=> v108(constB191))) | v110(constB192) | (~v108(constB191))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33401,plain,
% 7.61/5.81 (v110(constB192)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33400, 33399, 33357])).
% 7.61/5.81 tff(33402,plain,
% 7.61/5.81 ((~((~v101(constB192)) | (~v110(constB192)))) | (~v101(constB192)) | (~v110(constB192))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33403,plain,
% 7.61/5.81 (~((~v101(constB192)) | (~v110(constB192)))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33402, 33401, 33353])).
% 7.61/5.81 tff(33404,plain,
% 7.61/5.81 ((~(v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192)))))) | v100(constB192) | ((~v101(constB192)) | (~v110(constB192)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33405,plain,
% 7.61/5.81 (v100(constB192)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33404, 33403, 33328])).
% 7.61/5.81 tff(33406,plain,
% 7.61/5.81 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB192)) | (~(((~v90(constB192, 2)) <=> v129(constB192, 2)) | ((~v90(constB192, 1)) <=> v129(constB192, 1)) | ((~v90(constB192, 0)) <=> v129(constB192, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB192)) | (~(((~v90(constB192, 2)) <=> v129(constB192, 2)) | ((~v90(constB192, 1)) <=> v129(constB192, 1)) | ((~v90(constB192, 0)) <=> v129(constB192, 0)))))),
% 7.61/5.81 inference(rewrite,[status(thm)],[])).
% 7.61/5.81 tff(33407,plain,
% 7.61/5.81 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB192)) | (~(((~v90(constB192, 2)) <=> v129(constB192, 2)) | ((~v90(constB192, 1)) <=> v129(constB192, 1)) | ((~v90(constB192, 0)) <=> v129(constB192, 0)))))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33408,plain,
% 7.61/5.81 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB192)) | (~(((~v90(constB192, 2)) <=> v129(constB192, 2)) | ((~v90(constB192, 1)) <=> v129(constB192, 1)) | ((~v90(constB192, 0)) <=> v129(constB192, 0))))),
% 7.61/5.81 inference(modus_ponens,[status(thm)],[33407, 33406])).
% 7.61/5.81 tff(33409,plain,
% 7.61/5.81 ((~v100(constB192)) | (~(((~v90(constB192, 2)) <=> v129(constB192, 2)) | ((~v90(constB192, 1)) <=> v129(constB192, 1)) | ((~v90(constB192, 0)) <=> v129(constB192, 0))))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33408, 4794])).
% 7.61/5.81 tff(33410,plain,
% 7.61/5.81 (~(((~v90(constB192, 2)) <=> v129(constB192, 2)) | ((~v90(constB192, 1)) <=> v129(constB192, 1)) | ((~v90(constB192, 0)) <=> v129(constB192, 0)))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33409, 33405])).
% 7.61/5.81 tff(33411,plain,
% 7.61/5.81 ((((~v90(constB192, 2)) <=> v129(constB192, 2)) | ((~v90(constB192, 1)) <=> v129(constB192, 1)) | ((~v90(constB192, 0)) <=> v129(constB192, 0))) | (~((~v90(constB192, 2)) <=> v129(constB192, 2)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33412,plain,
% 7.61/5.81 (~((~v90(constB192, 2)) <=> v129(constB192, 2))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33411, 33410])).
% 7.61/5.81 tff(33413,plain,
% 7.61/5.81 (((~v90(constB192, 2)) <=> v129(constB192, 2)) | v90(constB192, 2) | (~v129(constB192, 2))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33414,plain,
% 7.61/5.81 (v90(constB192, 2)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33413, 33412, 33324])).
% 7.61/5.81 tff(33415,plain,
% 7.61/5.81 (((~v90(constB193, 2)) <=> v90(constB192, 2)) | v90(constB193, 2) | (~v90(constB192, 2))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33416,plain,
% 7.61/5.81 (v90(constB193, 2)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33415, 33414, 33064])).
% 7.61/5.81 tff(33417,plain,
% 7.61/5.81 (((~v88(constB193, 2)) <=> v90(constB193, 2)) | v88(constB193, 2) | (~v90(constB193, 2))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33418,plain,
% 7.61/5.81 (v88(constB193, 2)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33417, 33416, 33034])).
% 7.61/5.81 tff(33419,plain,
% 7.61/5.81 ((((~v88(constB193, 1)) <=> v90(constB193, 1)) | ((~v88(constB193, 2)) <=> v90(constB193, 2)) | ((~v88(constB193, 0)) <=> v90(constB193, 0))) | (~((~v88(constB193, 0)) <=> v90(constB193, 0)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33420,plain,
% 7.61/5.81 (~((~v88(constB193, 0)) <=> v90(constB193, 0))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33419, 33032])).
% 7.61/5.81 tff(33421,plain,
% 7.61/5.81 ((((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 0)) <=> v90(constB192, 0))) | (~((~v90(constB193, 0)) <=> v90(constB192, 0)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33422,plain,
% 7.61/5.81 (~((~v90(constB193, 0)) <=> v90(constB192, 0))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33421, 33062])).
% 7.61/5.81 tff(33423,plain,
% 7.61/5.81 ((((~v129(constB192, 2)) <=> v127(constB191, 2)) | ((~v129(constB192, 1)) <=> v127(constB191, 1)) | ((~v129(constB192, 0)) <=> v127(constB191, 0))) | (~((~v129(constB192, 0)) <=> v127(constB191, 0)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33424,plain,
% 7.61/5.81 (~((~v129(constB192, 0)) <=> v127(constB191, 0))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33423, 33071])).
% 7.61/5.81 tff(33425,plain,
% 7.61/5.81 ((((~v127(constB191, 2)) <=> v130(constB191, 2)) | ((~v127(constB191, 1)) <=> v130(constB191, 1)) | ((~v127(constB191, 0)) <=> v130(constB191, 0))) | (~((~v127(constB191, 0)) <=> v130(constB191, 0)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33426,plain,
% 7.61/5.81 (~((~v127(constB191, 0)) <=> v130(constB191, 0))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33425, 33085])).
% 7.61/5.81 tff(33427,plain,
% 7.61/5.81 ((v130(constB191, 1) | v130(constB191, 0) | (~v130(constB191, 2))) | (~v130(constB191, 0))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33428,plain,
% 7.61/5.81 (~v130(constB191, 0)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33427, 33318])).
% 7.61/5.81 tff(33429,plain,
% 7.61/5.81 (((~v127(constB191, 0)) <=> v130(constB191, 0)) | (~v127(constB191, 0)) | v130(constB191, 0)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33430,plain,
% 7.61/5.81 (~v127(constB191, 0)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33429, 33428, 33426])).
% 7.61/5.81 tff(33431,plain,
% 7.61/5.81 (((~v129(constB192, 0)) <=> v127(constB191, 0)) | (~v129(constB192, 0)) | v127(constB191, 0)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33432,plain,
% 7.61/5.81 (~v129(constB192, 0)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33431, 33430, 33424])).
% 7.61/5.81 tff(33433,plain,
% 7.61/5.81 ((((~v90(constB192, 2)) <=> v129(constB192, 2)) | ((~v90(constB192, 1)) <=> v129(constB192, 1)) | ((~v90(constB192, 0)) <=> v129(constB192, 0))) | (~((~v90(constB192, 0)) <=> v129(constB192, 0)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33434,plain,
% 7.61/5.81 (~((~v90(constB192, 0)) <=> v129(constB192, 0))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33433, 33410])).
% 7.61/5.81 tff(33435,plain,
% 7.61/5.81 (((~v90(constB192, 0)) <=> v129(constB192, 0)) | (~v90(constB192, 0)) | v129(constB192, 0)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33436,plain,
% 7.61/5.81 (~v90(constB192, 0)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33435, 33434, 33432])).
% 7.61/5.81 tff(33437,plain,
% 7.61/5.81 (((~v90(constB193, 0)) <=> v90(constB192, 0)) | (~v90(constB193, 0)) | v90(constB192, 0)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33438,plain,
% 7.61/5.81 (~v90(constB193, 0)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33437, 33436, 33422])).
% 7.61/5.81 tff(33439,plain,
% 7.61/5.81 (((~v88(constB193, 0)) <=> v90(constB193, 0)) | (~v88(constB193, 0)) | v90(constB193, 0)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33440,plain,
% 7.61/5.81 (~v88(constB193, 0)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33439, 33438, 33420])).
% 7.61/5.81 tff(33441,plain,
% 7.61/5.81 ((((~v88(constB193, 1)) <=> v90(constB193, 1)) | ((~v88(constB193, 2)) <=> v90(constB193, 2)) | ((~v88(constB193, 0)) <=> v90(constB193, 0))) | (~((~v88(constB193, 1)) <=> v90(constB193, 1)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33442,plain,
% 7.61/5.81 (~((~v88(constB193, 1)) <=> v90(constB193, 1))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33441, 33032])).
% 7.61/5.81 tff(33443,plain,
% 7.61/5.81 ((((~v90(constB193, 1)) <=> v90(constB192, 1)) | ((~v90(constB193, 2)) <=> v90(constB192, 2)) | ((~v90(constB193, 0)) <=> v90(constB192, 0))) | (~((~v90(constB193, 1)) <=> v90(constB192, 1)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33444,plain,
% 7.61/5.81 (~((~v90(constB193, 1)) <=> v90(constB192, 1))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33443, 33062])).
% 7.61/5.81 tff(33445,plain,
% 7.61/5.81 ((((~v129(constB192, 2)) <=> v127(constB191, 2)) | ((~v129(constB192, 1)) <=> v127(constB191, 1)) | ((~v129(constB192, 0)) <=> v127(constB191, 0))) | (~((~v129(constB192, 1)) <=> v127(constB191, 1)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33446,plain,
% 7.61/5.81 (~((~v129(constB192, 1)) <=> v127(constB191, 1))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33445, 33071])).
% 7.61/5.81 tff(33447,plain,
% 7.61/5.81 ((((~v127(constB191, 2)) <=> v130(constB191, 2)) | ((~v127(constB191, 1)) <=> v130(constB191, 1)) | ((~v127(constB191, 0)) <=> v130(constB191, 0))) | (~((~v127(constB191, 1)) <=> v130(constB191, 1)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33448,plain,
% 7.61/5.81 (~((~v127(constB191, 1)) <=> v130(constB191, 1))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33447, 33085])).
% 7.61/5.81 tff(33449,plain,
% 7.61/5.81 ((v130(constB191, 1) | v130(constB191, 0) | (~v130(constB191, 2))) | (~v130(constB191, 1))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33450,plain,
% 7.61/5.81 (~v130(constB191, 1)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33449, 33318])).
% 7.61/5.81 tff(33451,plain,
% 7.61/5.81 (((~v127(constB191, 1)) <=> v130(constB191, 1)) | (~v127(constB191, 1)) | v130(constB191, 1)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33452,plain,
% 7.61/5.81 (~v127(constB191, 1)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33451, 33450, 33448])).
% 7.61/5.81 tff(33453,plain,
% 7.61/5.81 (((~v129(constB192, 1)) <=> v127(constB191, 1)) | (~v129(constB192, 1)) | v127(constB191, 1)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33454,plain,
% 7.61/5.81 (~v129(constB192, 1)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33453, 33452, 33446])).
% 7.61/5.81 tff(33455,plain,
% 7.61/5.81 ((((~v90(constB192, 2)) <=> v129(constB192, 2)) | ((~v90(constB192, 1)) <=> v129(constB192, 1)) | ((~v90(constB192, 0)) <=> v129(constB192, 0))) | (~((~v90(constB192, 1)) <=> v129(constB192, 1)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33456,plain,
% 7.61/5.81 (~((~v90(constB192, 1)) <=> v129(constB192, 1))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33455, 33410])).
% 7.61/5.81 tff(33457,plain,
% 7.61/5.81 (((~v90(constB192, 1)) <=> v129(constB192, 1)) | (~v90(constB192, 1)) | v129(constB192, 1)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33458,plain,
% 7.61/5.81 (~v90(constB192, 1)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33457, 33456, 33454])).
% 7.61/5.81 tff(33459,plain,
% 7.61/5.81 (((~v90(constB193, 1)) <=> v90(constB192, 1)) | (~v90(constB193, 1)) | v90(constB192, 1)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33460,plain,
% 7.61/5.81 (~v90(constB193, 1)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33459, 33458, 33444])).
% 7.61/5.81 tff(33461,plain,
% 7.61/5.81 (((~v88(constB193, 1)) <=> v90(constB193, 1)) | (~v88(constB193, 1)) | v90(constB193, 1)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33462,plain,
% 7.61/5.81 (~v88(constB193, 1)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33461, 33460, 33442])).
% 7.61/5.81 tff(33463,plain,
% 7.61/5.81 ((~(v88(constB193, 1) | (~v88(constB193, 2)) | v88(constB193, 0))) | v88(constB193, 1) | (~v88(constB193, 2)) | v88(constB193, 0)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33464,plain,
% 7.61/5.81 (~(v88(constB193, 1) | (~v88(constB193, 2)) | v88(constB193, 0))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33463, 33462, 33440, 33418])).
% 7.61/5.81 tff(33465,plain,
% 7.61/5.81 ((~(v146(constB193) <=> (~(v88(constB193, 1) | (~v88(constB193, 2)) | v88(constB193, 0))))) | v146(constB193) | (v88(constB193, 1) | (~v88(constB193, 2)) | v88(constB193, 0))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33466,plain,
% 7.61/5.81 (v146(constB193)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33465, 33464, 33030])).
% 7.61/5.81 tff(33467,plain,
% 7.61/5.81 ((v146(constB193) | v147(constB193)) | (~v146(constB193))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33468,plain,
% 7.61/5.81 (v146(constB193) | v147(constB193)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33467, 33466])).
% 7.61/5.81 tff(33469,plain,
% 7.61/5.81 ((~(v145(constB193) <=> (v146(constB193) | v147(constB193)))) | v145(constB193) | (~(v146(constB193) | v147(constB193)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33470,plain,
% 7.61/5.81 (v145(constB193)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33469, 33468, 33023])).
% 7.61/5.81 tff(33471,plain,
% 7.61/5.81 ((v145(constB193) | v167(constB193)) | (~v145(constB193))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33472,plain,
% 7.61/5.81 (v145(constB193) | v167(constB193)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33471, 33470])).
% 7.61/5.81 tff(33473,plain,
% 7.61/5.81 ((~(v166(constB193) <=> (v145(constB193) | v167(constB193)))) | v166(constB193) | (~(v145(constB193) | v167(constB193)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33474,plain,
% 7.61/5.81 ((~(v166(constB193) <=> (v145(constB193) | v167(constB193)))) | v166(constB193)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33473, 33472])).
% 7.61/5.81 tff(33475,plain,
% 7.61/5.81 (v166(constB193)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33474, 33021])).
% 7.61/5.81 tff(33476,plain,
% 7.61/5.81 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB193)) | (v163(constB193) <=> v170(constB193)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB193)) | (v163(constB193) <=> v170(constB193)))),
% 7.61/5.81 inference(rewrite,[status(thm)],[])).
% 7.61/5.81 tff(33477,plain,
% 7.61/5.81 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB193)) | (v163(constB193) <=> v170(constB193)))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33478,plain,
% 7.61/5.81 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB193)) | (v163(constB193) <=> v170(constB193))),
% 7.61/5.81 inference(modus_ponens,[status(thm)],[33477, 33476])).
% 7.61/5.81 tff(33479,plain,
% 7.61/5.81 ((~v166(constB193)) | (v163(constB193) <=> v170(constB193))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33478, 15777])).
% 7.61/5.81 tff(33480,plain,
% 7.61/5.81 (v163(constB193) <=> v170(constB193)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33479, 33475])).
% 7.61/5.81 tff(33481,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB193) <=> (~(v88(constB193, 0) | v88(constB193, 1) | v88(constB193, 2))))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33482,plain,
% 7.61/5.81 (v139(constB193) <=> (~(v88(constB193, 0) | v88(constB193, 1) | v88(constB193, 2)))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33481, 15795])).
% 7.61/5.81 tff(33483,plain,
% 7.61/5.81 ((v88(constB193, 0) | v88(constB193, 1) | v88(constB193, 2)) | (~v88(constB193, 2))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33484,plain,
% 7.61/5.81 (v88(constB193, 0) | v88(constB193, 1) | v88(constB193, 2)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33483, 33418])).
% 7.61/5.81 tff(33485,plain,
% 7.61/5.81 ((~(v139(constB193) <=> (~(v88(constB193, 0) | v88(constB193, 1) | v88(constB193, 2))))) | (~v139(constB193)) | (~(v88(constB193, 0) | v88(constB193, 1) | v88(constB193, 2)))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33486,plain,
% 7.61/5.81 (~v139(constB193)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33485, 33484, 33482])).
% 7.61/5.81 tff(33487,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB193) <=> (~(v88(constB193, 1) | v88(constB193, 2) | (~v88(constB193, 0)))))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33488,plain,
% 7.61/5.81 (v140(constB193) <=> (~(v88(constB193, 1) | v88(constB193, 2) | (~v88(constB193, 0))))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33487, 15814])).
% 7.61/5.81 tff(33489,plain,
% 7.61/5.81 ((v88(constB193, 1) | v88(constB193, 2) | (~v88(constB193, 0))) | (~v88(constB193, 2))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33490,plain,
% 7.61/5.81 (v88(constB193, 1) | v88(constB193, 2) | (~v88(constB193, 0))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33489, 33418])).
% 7.61/5.81 tff(33491,plain,
% 7.61/5.81 ((~(v140(constB193) <=> (~(v88(constB193, 1) | v88(constB193, 2) | (~v88(constB193, 0)))))) | (~v140(constB193)) | (~(v88(constB193, 1) | v88(constB193, 2) | (~v88(constB193, 0))))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33492,plain,
% 7.61/5.81 (~v140(constB193)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33491, 33490, 33488])).
% 7.61/5.81 tff(33493,plain,
% 7.61/5.81 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB193) | v139(constB193) | (~v170(constB193)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB193) | v139(constB193) | (~v170(constB193)))),
% 7.61/5.81 inference(rewrite,[status(thm)],[])).
% 7.61/5.81 tff(33494,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB193) | v139(constB193) | (~v170(constB193)))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33495,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB193) | v139(constB193) | (~v170(constB193))),
% 7.61/5.81 inference(modus_ponens,[status(thm)],[33494, 33493])).
% 7.61/5.81 tff(33496,plain,
% 7.61/5.81 (v140(constB193) | v139(constB193) | (~v170(constB193))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33495, 15833])).
% 7.61/5.81 tff(33497,plain,
% 7.61/5.81 (~v170(constB193)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33496, 33492, 33486])).
% 7.61/5.81 tff(33498,plain,
% 7.61/5.81 ((~(v163(constB193) <=> v170(constB193))) | (~v163(constB193)) | v170(constB193)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33499,plain,
% 7.61/5.81 ((~(v163(constB193) <=> v170(constB193))) | (~v163(constB193))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33498, 33497])).
% 7.61/5.81 tff(33500,plain,
% 7.61/5.81 (~v163(constB193)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33499, 33480])).
% 7.61/5.81 tff(33501,plain,
% 7.61/5.81 ((~(v161(constB193) <=> v163(constB193))) | (~v161(constB193)) | v163(constB193)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33502,plain,
% 7.61/5.81 ((~(v161(constB193) <=> v163(constB193))) | (~v161(constB193))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33501, 33500])).
% 7.61/5.81 tff(33503,plain,
% 7.61/5.81 (~v161(constB193)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33502, 33019])).
% 7.61/5.81 tff(33504,plain,
% 7.61/5.81 (((~v185(constB193)) | (~v161(constB193))) | v161(constB193)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33505,plain,
% 7.61/5.81 ((~v185(constB193)) | (~v161(constB193))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33504, 33503])).
% 7.61/5.81 tff(33506,plain,
% 7.61/5.81 ((~(v184(constB193) <=> (~((~v185(constB193)) | (~v161(constB193)))))) | (~v184(constB193)) | (~((~v185(constB193)) | (~v161(constB193))))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33507,plain,
% 7.61/5.81 (~v184(constB193)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33506, 33505, 33017])).
% 7.61/5.81 tff(33508,plain,
% 7.61/5.81 (((~v183(constB193)) | (~v184(constB193))) | v184(constB193)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33509,plain,
% 7.61/5.81 ((~v183(constB193)) | (~v184(constB193))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33508, 33507])).
% 7.61/5.81 tff(33510,plain,
% 7.61/5.81 ((~(v180(constB193) <=> (~((~v183(constB193)) | (~v184(constB193)))))) | (~v180(constB193)) | (~((~v183(constB193)) | (~v184(constB193))))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33511,plain,
% 7.61/5.81 (~v180(constB193)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33510, 33509, 33015])).
% 7.61/5.81 tff(33512,plain,
% 7.61/5.81 ((~(v182(constB194) <=> v180(constB193))) | (~v182(constB194)) | v180(constB193)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33513,plain,
% 7.61/5.81 (~v182(constB194)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33512, 33511, 33013])).
% 7.61/5.81 tff(33514,plain,
% 7.61/5.81 ((~(v159(constB194) <=> v182(constB194))) | (~v159(constB194)) | v182(constB194)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33515,plain,
% 7.61/5.81 (~v159(constB194)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33514, 33513, 33009])).
% 7.61/5.81 tff(33516,plain,
% 7.61/5.81 (((~v159(constB194)) | (~v194(constB194))) | v159(constB194)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33517,plain,
% 7.61/5.81 ((~v159(constB194)) | (~v194(constB194))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33516, 33515])).
% 7.61/5.81 tff(33518,plain,
% 7.61/5.81 ((~(v196(constB194) <=> (~((~v159(constB194)) | (~v194(constB194)))))) | (~v196(constB194)) | (~((~v159(constB194)) | (~v194(constB194))))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33519,plain,
% 7.61/5.81 (~v196(constB194)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33518, 33517, 33007])).
% 7.61/5.81 tff(33520,plain,
% 7.61/5.81 ((~(v193(constB194) | v196(constB194))) | v193(constB194) | v196(constB194)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33521,plain,
% 7.61/5.81 (~(v193(constB194) | v196(constB194))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33520, 33519, 33000])).
% 7.61/5.81 tff(33522,plain,
% 7.61/5.81 ((~(v190(constB194) <=> (v193(constB194) | v196(constB194)))) | (~v190(constB194)) | (v193(constB194) | v196(constB194))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33523,plain,
% 7.61/5.81 (~v190(constB194)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33522, 33521, 32842])).
% 7.61/5.81 tff(33524,plain,
% 7.61/5.81 ((~(v192(constB195) <=> v190(constB194))) | (~v192(constB195)) | v190(constB194)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33525,plain,
% 7.61/5.81 (~v192(constB195)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33524, 33523, 32840])).
% 7.61/5.81 tff(33526,plain,
% 7.61/5.81 ((~(v157(constB195) <=> v192(constB195))) | (~v157(constB195)) | v192(constB195)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33527,plain,
% 7.61/5.81 (~v157(constB195)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33526, 33525, 32833])).
% 7.61/5.81 tff(33528,plain,
% 7.61/5.81 (((~v157(constB195)) | (~v202(constB195))) | v157(constB195)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33529,plain,
% 7.61/5.81 ((~v157(constB195)) | (~v202(constB195))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33528, 33527])).
% 7.61/5.81 tff(33530,plain,
% 7.61/5.81 ((~(v201(constB195) <=> (~((~v157(constB195)) | (~v202(constB195)))))) | (~v201(constB195)) | (~((~v157(constB195)) | (~v202(constB195))))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33531,plain,
% 7.61/5.81 (~v201(constB195)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33530, 33529, 32831])).
% 7.61/5.81 tff(33532,plain,
% 7.61/5.81 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB195) <=> (~((~v159(constB195)) | (~v202(constB195)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB195) <=> (~((~v159(constB195)) | (~v202(constB195))))))),
% 7.61/5.81 inference(rewrite,[status(thm)],[])).
% 7.61/5.81 tff(33533,plain,
% 7.61/5.81 ((v205(constB195) <=> (~((~v202(constB195)) | (~v159(constB195))))) <=> (v205(constB195) <=> (~((~v159(constB195)) | (~v202(constB195)))))),
% 7.61/5.81 inference(rewrite,[status(thm)],[])).
% 7.61/5.81 tff(33534,plain,
% 7.61/5.81 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB195) <=> (~((~v202(constB195)) | (~v159(constB195)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB195) <=> (~((~v159(constB195)) | (~v202(constB195))))))),
% 7.61/5.81 inference(monotonicity,[status(thm)],[33533])).
% 7.61/5.81 tff(33535,plain,
% 7.61/5.81 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB195) <=> (~((~v202(constB195)) | (~v159(constB195)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB195) <=> (~((~v159(constB195)) | (~v202(constB195))))))),
% 7.61/5.81 inference(transitivity,[status(thm)],[33534, 33532])).
% 7.61/5.81 tff(33536,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB195) <=> (~((~v202(constB195)) | (~v159(constB195)))))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33537,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB195) <=> (~((~v159(constB195)) | (~v202(constB195)))))),
% 7.61/5.81 inference(modus_ponens,[status(thm)],[33536, 33535])).
% 7.61/5.81 tff(33538,plain,
% 7.61/5.81 (v205(constB195) <=> (~((~v159(constB195)) | (~v202(constB195))))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33537, 138])).
% 7.61/5.81 tff(33539,plain,
% 7.61/5.81 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB195) <=> v182(constB195))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33540,plain,
% 7.61/5.81 (v159(constB195) <=> v182(constB195)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33539, 15113])).
% 7.61/5.81 tff(33541,plain,
% 7.61/5.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB194, constB195)) | (v182(constB195) <=> v180(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB194, constB195)) | (v182(constB195) <=> v180(constB194)))),
% 7.61/5.81 inference(rewrite,[status(thm)],[])).
% 7.61/5.81 tff(33542,plain,
% 7.61/5.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB194, constB195)) | (v182(constB195) <=> v180(constB194)))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33543,plain,
% 7.61/5.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB194, constB195)) | (v182(constB195) <=> v180(constB194))),
% 7.61/5.81 inference(modus_ponens,[status(thm)],[33542, 33541])).
% 7.61/5.81 tff(33544,plain,
% 7.61/5.81 (v182(constB195) <=> v180(constB194)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33543, 32836, 15125])).
% 7.61/5.81 tff(33545,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB194) <=> (~((~v183(constB194)) | (~v184(constB194)))))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33546,plain,
% 7.61/5.81 (v180(constB194) <=> (~((~v183(constB194)) | (~v184(constB194))))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33545, 15139])).
% 7.61/5.81 tff(33547,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB194) <=> (~((~v185(constB194)) | (~v161(constB194)))))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33548,plain,
% 7.61/5.81 (v184(constB194) <=> (~((~v185(constB194)) | (~v161(constB194))))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33547, 15151])).
% 7.61/5.81 tff(33549,plain,
% 7.61/5.81 (((~v185(constB194)) | (~v161(constB194))) | v185(constB194)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33550,plain,
% 7.61/5.81 ((~v185(constB194)) | (~v161(constB194))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33549, 27732])).
% 7.61/5.81 tff(33551,plain,
% 7.61/5.81 ((~(v184(constB194) <=> (~((~v185(constB194)) | (~v161(constB194)))))) | (~v184(constB194)) | (~((~v185(constB194)) | (~v161(constB194))))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33552,plain,
% 7.61/5.81 ((~(v184(constB194) <=> (~((~v185(constB194)) | (~v161(constB194)))))) | (~v184(constB194))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33551, 33550])).
% 7.61/5.81 tff(33553,plain,
% 7.61/5.81 (~v184(constB194)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33552, 33548])).
% 7.61/5.81 tff(33554,plain,
% 7.61/5.81 (((~v183(constB194)) | (~v184(constB194))) | v184(constB194)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33555,plain,
% 7.61/5.81 ((~v183(constB194)) | (~v184(constB194))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33554, 33553])).
% 7.61/5.81 tff(33556,plain,
% 7.61/5.81 ((~(v180(constB194) <=> (~((~v183(constB194)) | (~v184(constB194)))))) | (~v180(constB194)) | (~((~v183(constB194)) | (~v184(constB194))))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33557,plain,
% 7.61/5.81 (~v180(constB194)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33556, 33555, 33546])).
% 7.61/5.81 tff(33558,plain,
% 7.61/5.81 ((~(v182(constB195) <=> v180(constB194))) | (~v182(constB195)) | v180(constB194)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33559,plain,
% 7.61/5.81 (~v182(constB195)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33558, 33557, 33544])).
% 7.61/5.81 tff(33560,plain,
% 7.61/5.81 ((~(v159(constB195) <=> v182(constB195))) | (~v159(constB195)) | v182(constB195)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33561,plain,
% 7.61/5.81 (~v159(constB195)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33560, 33559, 33540])).
% 7.61/5.81 tff(33562,plain,
% 7.61/5.81 (((~v159(constB195)) | (~v202(constB195))) | v159(constB195)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33563,plain,
% 7.61/5.81 ((~v159(constB195)) | (~v202(constB195))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33562, 33561])).
% 7.61/5.81 tff(33564,plain,
% 7.61/5.81 ((~(v205(constB195) <=> (~((~v159(constB195)) | (~v202(constB195)))))) | (~v205(constB195)) | (~((~v159(constB195)) | (~v202(constB195))))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33565,plain,
% 7.61/5.81 (~v205(constB195)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33564, 33563, 33538])).
% 7.61/5.81 tff(33566,plain,
% 7.61/5.81 ((~(v201(constB195) | v205(constB195))) | v201(constB195) | v205(constB195)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33567,plain,
% 7.61/5.81 ((~(v201(constB195) | v205(constB195))) | v201(constB195)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33566, 33565])).
% 7.61/5.81 tff(33568,plain,
% 7.61/5.81 (~(v201(constB195) | v205(constB195))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33567, 33531])).
% 7.61/5.81 tff(33569,plain,
% 7.61/5.81 ((~(v200(constB195) <=> (v201(constB195) | v205(constB195)))) | (~v200(constB195)) | (v201(constB195) | v205(constB195))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33570,plain,
% 7.61/5.81 (~v200(constB195)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33569, 33568, 32824])).
% 7.61/5.81 tff(33571,plain,
% 7.61/5.81 ($false),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33570, 32822])).
% 7.61/5.81 tff(33572,plain,(~(constB195 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.61/5.81 tff(33573,assumption,(constB106 = VarCurr!0), introduced(assumption)).
% 7.61/5.81 tff(33574,plain,
% 7.61/5.81 (v200(constB106) <=> v200(VarCurr!0)),
% 7.61/5.81 inference(monotonicity,[status(thm)],[33573])).
% 7.61/5.81 tff(33575,plain,
% 7.61/5.81 (v200(VarCurr!0) <=> v200(constB106)),
% 7.61/5.81 inference(symmetry,[status(thm)],[33574])).
% 7.61/5.81 tff(33576,plain,
% 7.61/5.81 (v200(constB106)),
% 7.61/5.81 inference(modus_ponens,[status(thm)],[27, 33575])).
% 7.61/5.81 tff(33577,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB106) <=> (v201(constB106) | v205(constB106)))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33578,plain,
% 7.61/5.81 (v200(constB106) <=> (v201(constB106) | v205(constB106))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33577, 35])).
% 7.61/5.81 tff(33579,plain,
% 7.61/5.81 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB106) <=> (~((~v157(constB106)) | (~v202(constB106)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB106) <=> (~((~v157(constB106)) | (~v202(constB106))))))),
% 7.61/5.81 inference(rewrite,[status(thm)],[])).
% 7.61/5.81 tff(33580,plain,
% 7.61/5.81 ((v201(constB106) <=> (~((~v202(constB106)) | (~v157(constB106))))) <=> (v201(constB106) <=> (~((~v157(constB106)) | (~v202(constB106)))))),
% 7.61/5.81 inference(rewrite,[status(thm)],[])).
% 7.61/5.81 tff(33581,plain,
% 7.61/5.81 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB106) <=> (~((~v202(constB106)) | (~v157(constB106)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB106) <=> (~((~v157(constB106)) | (~v202(constB106))))))),
% 7.61/5.81 inference(monotonicity,[status(thm)],[33580])).
% 7.61/5.81 tff(33582,plain,
% 7.61/5.81 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB106) <=> (~((~v202(constB106)) | (~v157(constB106)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB106) <=> (~((~v157(constB106)) | (~v202(constB106))))))),
% 7.61/5.81 inference(transitivity,[status(thm)],[33581, 33579])).
% 7.61/5.81 tff(33583,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB106) <=> (~((~v202(constB106)) | (~v157(constB106)))))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33584,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB106) <=> (~((~v157(constB106)) | (~v202(constB106)))))),
% 7.61/5.81 inference(modus_ponens,[status(thm)],[33583, 33582])).
% 7.61/5.81 tff(33585,plain,
% 7.61/5.81 (v201(constB106) <=> (~((~v157(constB106)) | (~v202(constB106))))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33584, 47])).
% 7.61/5.81 tff(33586,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB106) <=> (~((~v183(constB106)) | (~v203(constB106)))))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33587,plain,
% 7.61/5.81 (v202(constB106) <=> (~((~v183(constB106)) | (~v203(constB106))))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33586, 64])).
% 7.61/5.81 tff(33588,plain,
% 7.61/5.81 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB106) <=> (~((~v185(constB106)) | (~v204(constB106)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB106) <=> (~((~v185(constB106)) | (~v204(constB106))))))),
% 7.61/5.81 inference(rewrite,[status(thm)],[])).
% 7.61/5.81 tff(33589,plain,
% 7.61/5.81 ((v203(constB106) <=> (~((~v204(constB106)) | (~v185(constB106))))) <=> (v203(constB106) <=> (~((~v185(constB106)) | (~v204(constB106)))))),
% 7.61/5.81 inference(rewrite,[status(thm)],[])).
% 7.61/5.81 tff(33590,plain,
% 7.61/5.81 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB106) <=> (~((~v204(constB106)) | (~v185(constB106)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB106) <=> (~((~v185(constB106)) | (~v204(constB106))))))),
% 7.61/5.81 inference(monotonicity,[status(thm)],[33589])).
% 7.61/5.81 tff(33591,plain,
% 7.61/5.81 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB106) <=> (~((~v204(constB106)) | (~v185(constB106)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB106) <=> (~((~v185(constB106)) | (~v204(constB106))))))),
% 7.61/5.81 inference(transitivity,[status(thm)],[33590, 33588])).
% 7.61/5.81 tff(33592,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB106) <=> (~((~v204(constB106)) | (~v185(constB106)))))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33593,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB106) <=> (~((~v185(constB106)) | (~v204(constB106)))))),
% 7.61/5.81 inference(modus_ponens,[status(thm)],[33592, 33591])).
% 7.61/5.81 tff(33594,plain,
% 7.61/5.81 (v203(constB106) <=> (~((~v185(constB106)) | (~v204(constB106))))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33593, 76])).
% 7.61/5.81 tff(33595,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33596,plain,
% 7.61/5.81 (v185(constB106) <=> (~((~v39(constB106)) | (~v9(constB106))))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33595, 93])).
% 7.61/5.81 tff(33597,plain,
% 7.61/5.81 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB106)) <=> v1(constB106))),
% 7.61/5.81 inference(quant_inst,[status(thm)],[])).
% 7.61/5.81 tff(33598,plain,
% 7.61/5.81 ((~v39(constB106)) <=> v1(constB106)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33597, 102])).
% 7.61/5.81 tff(33599,plain,
% 7.61/5.81 ((~((~v39(constB106)) <=> v1(constB106))) | (~v39(constB106)) | (~v1(constB106))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33600,plain,
% 7.61/5.81 ((~((~v39(constB106)) <=> v1(constB106))) | (~v39(constB106))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33599, 13150])).
% 7.61/5.81 tff(33601,plain,
% 7.61/5.81 (~v39(constB106)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33600, 33598])).
% 7.61/5.81 tff(33602,plain,
% 7.61/5.81 (((~v39(constB106)) | (~v9(constB106))) | v39(constB106)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33603,plain,
% 7.61/5.81 ((~v39(constB106)) | (~v9(constB106))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33602, 33601])).
% 7.61/5.81 tff(33604,plain,
% 7.61/5.81 ((~(v185(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))) | (~v185(constB106)) | (~((~v39(constB106)) | (~v9(constB106))))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33605,plain,
% 7.61/5.81 ((~(v185(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))) | (~v185(constB106))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33604, 33603])).
% 7.61/5.81 tff(33606,plain,
% 7.61/5.81 (~v185(constB106)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33605, 33596])).
% 7.61/5.81 tff(33607,plain,
% 7.61/5.81 (((~v185(constB106)) | (~v204(constB106))) | v185(constB106)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33608,plain,
% 7.61/5.81 ((~v185(constB106)) | (~v204(constB106))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33607, 33606])).
% 7.61/5.81 tff(33609,plain,
% 7.61/5.81 ((~(v203(constB106) <=> (~((~v185(constB106)) | (~v204(constB106)))))) | (~v203(constB106)) | (~((~v185(constB106)) | (~v204(constB106))))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33610,plain,
% 7.61/5.81 ((~(v203(constB106) <=> (~((~v185(constB106)) | (~v204(constB106)))))) | (~v203(constB106))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33609, 33608])).
% 7.61/5.81 tff(33611,plain,
% 7.61/5.81 (~v203(constB106)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33610, 33594])).
% 7.61/5.81 tff(33612,plain,
% 7.61/5.81 (((~v183(constB106)) | (~v203(constB106))) | v203(constB106)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33613,plain,
% 7.61/5.81 ((~v183(constB106)) | (~v203(constB106))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33612, 33611])).
% 7.61/5.81 tff(33614,plain,
% 7.61/5.81 ((~(v202(constB106) <=> (~((~v183(constB106)) | (~v203(constB106)))))) | (~v202(constB106)) | (~((~v183(constB106)) | (~v203(constB106))))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33615,plain,
% 7.61/5.81 (~v202(constB106)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33614, 33613, 33587])).
% 7.61/5.81 tff(33616,plain,
% 7.61/5.81 (((~v157(constB106)) | (~v202(constB106))) | v202(constB106)),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33617,plain,
% 7.61/5.81 ((~v157(constB106)) | (~v202(constB106))),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33616, 33615])).
% 7.61/5.81 tff(33618,plain,
% 7.61/5.81 ((~(v201(constB106) <=> (~((~v157(constB106)) | (~v202(constB106)))))) | (~v201(constB106)) | (~((~v157(constB106)) | (~v202(constB106))))),
% 7.61/5.81 inference(tautology,[status(thm)],[])).
% 7.61/5.81 tff(33619,plain,
% 7.61/5.81 (~v201(constB106)),
% 7.61/5.81 inference(unit_resolution,[status(thm)],[33618, 33617, 33585])).
% 7.61/5.81 tff(33620,plain,
% 7.61/5.81 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB106) <=> (~((~v159(constB106)) | (~v202(constB106)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB106) <=> (~((~v159(constB106)) | (~v202(constB106))))))),
% 7.61/5.81 inference(rewrite,[status(thm)],[])).
% 7.61/5.81 tff(33621,plain,
% 7.61/5.81 ((v205(constB106) <=> (~((~v202(constB106)) | (~v159(constB106))))) <=> (v205(constB106) <=> (~((~v159(constB106)) | (~v202(constB106)))))),
% 7.61/5.81 inference(rewrite,[status(thm)],[])).
% 7.61/5.81 tff(33622,plain,
% 7.61/5.81 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB106) <=> (~((~v202(constB106)) | (~v159(constB106)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB106) <=> (~((~v159(constB106)) | (~v202(constB106))))))),
% 7.61/5.81 inference(monotonicity,[status(thm)],[33621])).
% 7.61/5.81 tff(33623,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB106) <=> (~((~v202(constB106)) | (~v159(constB106)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB106) <=> (~((~v159(constB106)) | (~v202(constB106))))))),
% 7.61/5.82 inference(transitivity,[status(thm)],[33622, 33620])).
% 7.61/5.82 tff(33624,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB106) <=> (~((~v202(constB106)) | (~v159(constB106)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33625,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB106) <=> (~((~v159(constB106)) | (~v202(constB106)))))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33624, 33623])).
% 7.61/5.82 tff(33626,plain,
% 7.61/5.82 (v205(constB106) <=> (~((~v159(constB106)) | (~v202(constB106))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33625, 138])).
% 7.61/5.82 tff(33627,plain,
% 7.61/5.82 (((~v159(constB106)) | (~v202(constB106))) | v202(constB106)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33628,plain,
% 7.61/5.82 ((~v159(constB106)) | (~v202(constB106))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33627, 33615])).
% 7.61/5.82 tff(33629,plain,
% 7.61/5.82 ((~(v205(constB106) <=> (~((~v159(constB106)) | (~v202(constB106)))))) | (~v205(constB106)) | (~((~v159(constB106)) | (~v202(constB106))))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33630,plain,
% 7.61/5.82 (~v205(constB106)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33629, 33628, 33626])).
% 7.61/5.82 tff(33631,plain,
% 7.61/5.82 ((~(v201(constB106) | v205(constB106))) | v201(constB106) | v205(constB106)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33632,plain,
% 7.61/5.82 (~(v201(constB106) | v205(constB106))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33631, 33630, 33619])).
% 7.61/5.82 tff(33633,plain,
% 7.61/5.82 ((~(v200(constB106) <=> (v201(constB106) | v205(constB106)))) | (~v200(constB106)) | (v201(constB106) | v205(constB106))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33634,plain,
% 7.61/5.82 ((~(v200(constB106) <=> (v201(constB106) | v205(constB106)))) | (~v200(constB106))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33633, 33632])).
% 7.61/5.82 tff(33635,plain,
% 7.61/5.82 (~v200(constB106)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33634, 33578])).
% 7.61/5.82 tff(33636,plain,
% 7.61/5.82 ($false),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33635, 33576])).
% 7.61/5.82 tff(33637,plain,(~(constB106 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.61/5.82 tff(33638,assumption,(constB166 = VarCurr!0), introduced(assumption)).
% 7.61/5.82 tff(33639,plain,
% 7.61/5.82 (v200(constB166) <=> v200(VarCurr!0)),
% 7.61/5.82 inference(monotonicity,[status(thm)],[33638])).
% 7.61/5.82 tff(33640,plain,
% 7.61/5.82 (v200(VarCurr!0) <=> v200(constB166)),
% 7.61/5.82 inference(symmetry,[status(thm)],[33639])).
% 7.61/5.82 tff(33641,plain,
% 7.61/5.82 (v200(constB166)),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[27, 33640])).
% 7.61/5.82 tff(33642,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB166) <=> (v201(constB166) | v205(constB166)))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33643,plain,
% 7.61/5.82 (v200(constB166) <=> (v201(constB166) | v205(constB166))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33642, 35])).
% 7.61/5.82 tff(33644,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB166) <=> (~((~v157(constB166)) | (~v202(constB166)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB166) <=> (~((~v157(constB166)) | (~v202(constB166))))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33645,plain,
% 7.61/5.82 ((v201(constB166) <=> (~((~v202(constB166)) | (~v157(constB166))))) <=> (v201(constB166) <=> (~((~v157(constB166)) | (~v202(constB166)))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33646,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB166) <=> (~((~v202(constB166)) | (~v157(constB166)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB166) <=> (~((~v157(constB166)) | (~v202(constB166))))))),
% 7.61/5.82 inference(monotonicity,[status(thm)],[33645])).
% 7.61/5.82 tff(33647,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB166) <=> (~((~v202(constB166)) | (~v157(constB166)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB166) <=> (~((~v157(constB166)) | (~v202(constB166))))))),
% 7.61/5.82 inference(transitivity,[status(thm)],[33646, 33644])).
% 7.61/5.82 tff(33648,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB166) <=> (~((~v202(constB166)) | (~v157(constB166)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33649,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB166) <=> (~((~v157(constB166)) | (~v202(constB166)))))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33648, 33647])).
% 7.61/5.82 tff(33650,plain,
% 7.61/5.82 (v201(constB166) <=> (~((~v157(constB166)) | (~v202(constB166))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33649, 47])).
% 7.61/5.82 tff(33651,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB166) <=> (~((~v183(constB166)) | (~v203(constB166)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33652,plain,
% 7.61/5.82 (v202(constB166) <=> (~((~v183(constB166)) | (~v203(constB166))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33651, 64])).
% 7.61/5.82 tff(33653,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB166) <=> (~((~v185(constB166)) | (~v204(constB166)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB166) <=> (~((~v185(constB166)) | (~v204(constB166))))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33654,plain,
% 7.61/5.82 ((v203(constB166) <=> (~((~v204(constB166)) | (~v185(constB166))))) <=> (v203(constB166) <=> (~((~v185(constB166)) | (~v204(constB166)))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33655,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB166) <=> (~((~v204(constB166)) | (~v185(constB166)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB166) <=> (~((~v185(constB166)) | (~v204(constB166))))))),
% 7.61/5.82 inference(monotonicity,[status(thm)],[33654])).
% 7.61/5.82 tff(33656,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB166) <=> (~((~v204(constB166)) | (~v185(constB166)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB166) <=> (~((~v185(constB166)) | (~v204(constB166))))))),
% 7.61/5.82 inference(transitivity,[status(thm)],[33655, 33653])).
% 7.61/5.82 tff(33657,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB166) <=> (~((~v204(constB166)) | (~v185(constB166)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33658,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB166) <=> (~((~v185(constB166)) | (~v204(constB166)))))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33657, 33656])).
% 7.61/5.82 tff(33659,plain,
% 7.61/5.82 (v203(constB166) <=> (~((~v185(constB166)) | (~v204(constB166))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33658, 76])).
% 7.61/5.82 tff(33660,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33661,plain,
% 7.61/5.82 (v185(constB166) <=> (~((~v39(constB166)) | (~v9(constB166))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33660, 93])).
% 7.61/5.82 tff(33662,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB166)) <=> v1(constB166))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33663,plain,
% 7.61/5.82 ((~v39(constB166)) <=> v1(constB166)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33662, 102])).
% 7.61/5.82 tff(33664,plain,
% 7.61/5.82 ((~((~v39(constB166)) <=> v1(constB166))) | (~v39(constB166)) | (~v1(constB166))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33665,plain,
% 7.61/5.82 ((~((~v39(constB166)) <=> v1(constB166))) | (~v39(constB166))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33664, 21509])).
% 7.61/5.82 tff(33666,plain,
% 7.61/5.82 (~v39(constB166)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33665, 33663])).
% 7.61/5.82 tff(33667,plain,
% 7.61/5.82 (((~v39(constB166)) | (~v9(constB166))) | v39(constB166)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33668,plain,
% 7.61/5.82 ((~v39(constB166)) | (~v9(constB166))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33667, 33666])).
% 7.61/5.82 tff(33669,plain,
% 7.61/5.82 ((~(v185(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))) | (~v185(constB166)) | (~((~v39(constB166)) | (~v9(constB166))))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33670,plain,
% 7.61/5.82 ((~(v185(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))) | (~v185(constB166))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33669, 33668])).
% 7.61/5.82 tff(33671,plain,
% 7.61/5.82 (~v185(constB166)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33670, 33661])).
% 7.61/5.82 tff(33672,plain,
% 7.61/5.82 (((~v185(constB166)) | (~v204(constB166))) | v185(constB166)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33673,plain,
% 7.61/5.82 ((~v185(constB166)) | (~v204(constB166))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33672, 33671])).
% 7.61/5.82 tff(33674,plain,
% 7.61/5.82 ((~(v203(constB166) <=> (~((~v185(constB166)) | (~v204(constB166)))))) | (~v203(constB166)) | (~((~v185(constB166)) | (~v204(constB166))))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33675,plain,
% 7.61/5.82 ((~(v203(constB166) <=> (~((~v185(constB166)) | (~v204(constB166)))))) | (~v203(constB166))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33674, 33673])).
% 7.61/5.82 tff(33676,plain,
% 7.61/5.82 (~v203(constB166)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33675, 33659])).
% 7.61/5.82 tff(33677,plain,
% 7.61/5.82 (((~v183(constB166)) | (~v203(constB166))) | v203(constB166)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33678,plain,
% 7.61/5.82 ((~v183(constB166)) | (~v203(constB166))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33677, 33676])).
% 7.61/5.82 tff(33679,plain,
% 7.61/5.82 ((~(v202(constB166) <=> (~((~v183(constB166)) | (~v203(constB166)))))) | (~v202(constB166)) | (~((~v183(constB166)) | (~v203(constB166))))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33680,plain,
% 7.61/5.82 (~v202(constB166)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33679, 33678, 33652])).
% 7.61/5.82 tff(33681,plain,
% 7.61/5.82 (((~v157(constB166)) | (~v202(constB166))) | v202(constB166)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33682,plain,
% 7.61/5.82 ((~v157(constB166)) | (~v202(constB166))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33681, 33680])).
% 7.61/5.82 tff(33683,plain,
% 7.61/5.82 ((~(v201(constB166) <=> (~((~v157(constB166)) | (~v202(constB166)))))) | (~v201(constB166)) | (~((~v157(constB166)) | (~v202(constB166))))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33684,plain,
% 7.61/5.82 (~v201(constB166)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33683, 33682, 33650])).
% 7.61/5.82 tff(33685,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB166) <=> (~((~v159(constB166)) | (~v202(constB166)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB166) <=> (~((~v159(constB166)) | (~v202(constB166))))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33686,plain,
% 7.61/5.82 ((v205(constB166) <=> (~((~v202(constB166)) | (~v159(constB166))))) <=> (v205(constB166) <=> (~((~v159(constB166)) | (~v202(constB166)))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33687,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB166) <=> (~((~v202(constB166)) | (~v159(constB166)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB166) <=> (~((~v159(constB166)) | (~v202(constB166))))))),
% 7.61/5.82 inference(monotonicity,[status(thm)],[33686])).
% 7.61/5.82 tff(33688,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB166) <=> (~((~v202(constB166)) | (~v159(constB166)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB166) <=> (~((~v159(constB166)) | (~v202(constB166))))))),
% 7.61/5.82 inference(transitivity,[status(thm)],[33687, 33685])).
% 7.61/5.82 tff(33689,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB166) <=> (~((~v202(constB166)) | (~v159(constB166)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33690,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB166) <=> (~((~v159(constB166)) | (~v202(constB166)))))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33689, 33688])).
% 7.61/5.82 tff(33691,plain,
% 7.61/5.82 (v205(constB166) <=> (~((~v159(constB166)) | (~v202(constB166))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33690, 138])).
% 7.61/5.82 tff(33692,plain,
% 7.61/5.82 (((~v159(constB166)) | (~v202(constB166))) | v202(constB166)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33693,plain,
% 7.61/5.82 ((~v159(constB166)) | (~v202(constB166))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33692, 33680])).
% 7.61/5.82 tff(33694,plain,
% 7.61/5.82 ((~(v205(constB166) <=> (~((~v159(constB166)) | (~v202(constB166)))))) | (~v205(constB166)) | (~((~v159(constB166)) | (~v202(constB166))))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33695,plain,
% 7.61/5.82 (~v205(constB166)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33694, 33693, 33691])).
% 7.61/5.82 tff(33696,plain,
% 7.61/5.82 ((~(v201(constB166) | v205(constB166))) | v201(constB166) | v205(constB166)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33697,plain,
% 7.61/5.82 (~(v201(constB166) | v205(constB166))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33696, 33695, 33684])).
% 7.61/5.82 tff(33698,plain,
% 7.61/5.82 ((~(v200(constB166) <=> (v201(constB166) | v205(constB166)))) | (~v200(constB166)) | (v201(constB166) | v205(constB166))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33699,plain,
% 7.61/5.82 ((~(v200(constB166) <=> (v201(constB166) | v205(constB166)))) | (~v200(constB166))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33698, 33697])).
% 7.61/5.82 tff(33700,plain,
% 7.61/5.82 (~v200(constB166)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33699, 33643])).
% 7.61/5.82 tff(33701,plain,
% 7.61/5.82 ($false),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33700, 33641])).
% 7.61/5.82 tff(33702,plain,(~(constB166 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.61/5.82 tff(33703,assumption,(constB14 = VarCurr!0), introduced(assumption)).
% 7.61/5.82 tff(33704,plain,
% 7.61/5.82 (v200(constB14) <=> v200(VarCurr!0)),
% 7.61/5.82 inference(monotonicity,[status(thm)],[33703])).
% 7.61/5.82 tff(33705,plain,
% 7.61/5.82 (v200(VarCurr!0) <=> v200(constB14)),
% 7.61/5.82 inference(symmetry,[status(thm)],[33704])).
% 7.61/5.82 tff(33706,plain,
% 7.61/5.82 (v200(constB14)),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[27, 33705])).
% 7.61/5.82 tff(33707,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB14) <=> (v201(constB14) | v205(constB14)))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33708,plain,
% 7.61/5.82 (v200(constB14) <=> (v201(constB14) | v205(constB14))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33707, 35])).
% 7.61/5.82 tff(33709,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB14) <=> (~((~v157(constB14)) | (~v202(constB14)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB14) <=> (~((~v157(constB14)) | (~v202(constB14))))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33710,plain,
% 7.61/5.82 ((v201(constB14) <=> (~((~v202(constB14)) | (~v157(constB14))))) <=> (v201(constB14) <=> (~((~v157(constB14)) | (~v202(constB14)))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33711,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB14) <=> (~((~v202(constB14)) | (~v157(constB14)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB14) <=> (~((~v157(constB14)) | (~v202(constB14))))))),
% 7.61/5.82 inference(monotonicity,[status(thm)],[33710])).
% 7.61/5.82 tff(33712,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB14) <=> (~((~v202(constB14)) | (~v157(constB14)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB14) <=> (~((~v157(constB14)) | (~v202(constB14))))))),
% 7.61/5.82 inference(transitivity,[status(thm)],[33711, 33709])).
% 7.61/5.82 tff(33713,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB14) <=> (~((~v202(constB14)) | (~v157(constB14)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33714,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB14) <=> (~((~v157(constB14)) | (~v202(constB14)))))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33713, 33712])).
% 7.61/5.82 tff(33715,plain,
% 7.61/5.82 (v201(constB14) <=> (~((~v157(constB14)) | (~v202(constB14))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33714, 47])).
% 7.61/5.82 tff(33716,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB14) <=> (~((~v183(constB14)) | (~v203(constB14)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33717,plain,
% 7.61/5.82 (v202(constB14) <=> (~((~v183(constB14)) | (~v203(constB14))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33716, 64])).
% 7.61/5.82 tff(33718,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB14) <=> (~((~v185(constB14)) | (~v204(constB14)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB14) <=> (~((~v185(constB14)) | (~v204(constB14))))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33719,plain,
% 7.61/5.82 ((v203(constB14) <=> (~((~v204(constB14)) | (~v185(constB14))))) <=> (v203(constB14) <=> (~((~v185(constB14)) | (~v204(constB14)))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33720,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB14) <=> (~((~v204(constB14)) | (~v185(constB14)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB14) <=> (~((~v185(constB14)) | (~v204(constB14))))))),
% 7.61/5.82 inference(monotonicity,[status(thm)],[33719])).
% 7.61/5.82 tff(33721,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB14) <=> (~((~v204(constB14)) | (~v185(constB14)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB14) <=> (~((~v185(constB14)) | (~v204(constB14))))))),
% 7.61/5.82 inference(transitivity,[status(thm)],[33720, 33718])).
% 7.61/5.82 tff(33722,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB14) <=> (~((~v204(constB14)) | (~v185(constB14)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33723,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB14) <=> (~((~v185(constB14)) | (~v204(constB14)))))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33722, 33721])).
% 7.61/5.82 tff(33724,plain,
% 7.61/5.82 (v203(constB14) <=> (~((~v185(constB14)) | (~v204(constB14))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33723, 76])).
% 7.61/5.82 tff(33725,plain,
% 7.61/5.82 (((~v185(constB14)) | (~v204(constB14))) | v185(constB14)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33726,plain,
% 7.61/5.82 ((~v185(constB14)) | (~v204(constB14))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33725, 25330])).
% 7.61/5.82 tff(33727,plain,
% 7.61/5.82 ((~(v203(constB14) <=> (~((~v185(constB14)) | (~v204(constB14)))))) | (~v203(constB14)) | (~((~v185(constB14)) | (~v204(constB14))))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33728,plain,
% 7.61/5.82 ((~(v203(constB14) <=> (~((~v185(constB14)) | (~v204(constB14)))))) | (~v203(constB14))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33727, 33726])).
% 7.61/5.82 tff(33729,plain,
% 7.61/5.82 (~v203(constB14)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33728, 33724])).
% 7.61/5.82 tff(33730,plain,
% 7.61/5.82 (((~v183(constB14)) | (~v203(constB14))) | v203(constB14)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33731,plain,
% 7.61/5.82 ((~v183(constB14)) | (~v203(constB14))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33730, 33729])).
% 7.61/5.82 tff(33732,plain,
% 7.61/5.82 ((~(v202(constB14) <=> (~((~v183(constB14)) | (~v203(constB14)))))) | (~v202(constB14)) | (~((~v183(constB14)) | (~v203(constB14))))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33733,plain,
% 7.61/5.82 (~v202(constB14)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33732, 33731, 33717])).
% 7.61/5.82 tff(33734,plain,
% 7.61/5.82 (((~v157(constB14)) | (~v202(constB14))) | v202(constB14)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33735,plain,
% 7.61/5.82 ((~v157(constB14)) | (~v202(constB14))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33734, 33733])).
% 7.61/5.82 tff(33736,plain,
% 7.61/5.82 ((~(v201(constB14) <=> (~((~v157(constB14)) | (~v202(constB14)))))) | (~v201(constB14)) | (~((~v157(constB14)) | (~v202(constB14))))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33737,plain,
% 7.61/5.82 (~v201(constB14)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33736, 33735, 33715])).
% 7.61/5.82 tff(33738,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB14) <=> (~((~v159(constB14)) | (~v202(constB14)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB14) <=> (~((~v159(constB14)) | (~v202(constB14))))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33739,plain,
% 7.61/5.82 ((v205(constB14) <=> (~((~v202(constB14)) | (~v159(constB14))))) <=> (v205(constB14) <=> (~((~v159(constB14)) | (~v202(constB14)))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33740,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB14) <=> (~((~v202(constB14)) | (~v159(constB14)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB14) <=> (~((~v159(constB14)) | (~v202(constB14))))))),
% 7.61/5.82 inference(monotonicity,[status(thm)],[33739])).
% 7.61/5.82 tff(33741,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB14) <=> (~((~v202(constB14)) | (~v159(constB14)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB14) <=> (~((~v159(constB14)) | (~v202(constB14))))))),
% 7.61/5.82 inference(transitivity,[status(thm)],[33740, 33738])).
% 7.61/5.82 tff(33742,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB14) <=> (~((~v202(constB14)) | (~v159(constB14)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33743,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB14) <=> (~((~v159(constB14)) | (~v202(constB14)))))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33742, 33741])).
% 7.61/5.82 tff(33744,plain,
% 7.61/5.82 (v205(constB14) <=> (~((~v159(constB14)) | (~v202(constB14))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33743, 138])).
% 7.61/5.82 tff(33745,plain,
% 7.61/5.82 (((~v159(constB14)) | (~v202(constB14))) | v202(constB14)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33746,plain,
% 7.61/5.82 ((~v159(constB14)) | (~v202(constB14))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33745, 33733])).
% 7.61/5.82 tff(33747,plain,
% 7.61/5.82 ((~(v205(constB14) <=> (~((~v159(constB14)) | (~v202(constB14)))))) | (~v205(constB14)) | (~((~v159(constB14)) | (~v202(constB14))))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33748,plain,
% 7.61/5.82 (~v205(constB14)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33747, 33746, 33744])).
% 7.61/5.82 tff(33749,plain,
% 7.61/5.82 ((~(v201(constB14) | v205(constB14))) | v201(constB14) | v205(constB14)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33750,plain,
% 7.61/5.82 (~(v201(constB14) | v205(constB14))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33749, 33748, 33737])).
% 7.61/5.82 tff(33751,plain,
% 7.61/5.82 ((~(v200(constB14) <=> (v201(constB14) | v205(constB14)))) | (~v200(constB14)) | (v201(constB14) | v205(constB14))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33752,plain,
% 7.61/5.82 ((~(v200(constB14) <=> (v201(constB14) | v205(constB14)))) | (~v200(constB14))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33751, 33750])).
% 7.61/5.82 tff(33753,plain,
% 7.61/5.82 (~v200(constB14)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33752, 33708])).
% 7.61/5.82 tff(33754,plain,
% 7.61/5.82 ($false),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33753, 33706])).
% 7.61/5.82 tff(33755,plain,(~(constB14 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.61/5.82 tff(33756,assumption,(constB177 = VarCurr!0), introduced(assumption)).
% 7.61/5.82 tff(33757,plain,
% 7.61/5.82 (v200(constB177) <=> v200(VarCurr!0)),
% 7.61/5.82 inference(monotonicity,[status(thm)],[33756])).
% 7.61/5.82 tff(33758,plain,
% 7.61/5.82 (v200(VarCurr!0) <=> v200(constB177)),
% 7.61/5.82 inference(symmetry,[status(thm)],[33757])).
% 7.61/5.82 tff(33759,plain,
% 7.61/5.82 (v200(constB177)),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[27, 33758])).
% 7.61/5.82 tff(33760,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB177) <=> (v201(constB177) | v205(constB177)))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33761,plain,
% 7.61/5.82 (v200(constB177) <=> (v201(constB177) | v205(constB177))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33760, 35])).
% 7.61/5.82 tff(33762,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB177) <=> (~((~v157(constB177)) | (~v202(constB177)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB177) <=> (~((~v157(constB177)) | (~v202(constB177))))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33763,plain,
% 7.61/5.82 ((v201(constB177) <=> (~((~v202(constB177)) | (~v157(constB177))))) <=> (v201(constB177) <=> (~((~v157(constB177)) | (~v202(constB177)))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33764,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB177) <=> (~((~v202(constB177)) | (~v157(constB177)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB177) <=> (~((~v157(constB177)) | (~v202(constB177))))))),
% 7.61/5.82 inference(monotonicity,[status(thm)],[33763])).
% 7.61/5.82 tff(33765,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB177) <=> (~((~v202(constB177)) | (~v157(constB177)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB177) <=> (~((~v157(constB177)) | (~v202(constB177))))))),
% 7.61/5.82 inference(transitivity,[status(thm)],[33764, 33762])).
% 7.61/5.82 tff(33766,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB177) <=> (~((~v202(constB177)) | (~v157(constB177)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33767,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB177) <=> (~((~v157(constB177)) | (~v202(constB177)))))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33766, 33765])).
% 7.61/5.82 tff(33768,plain,
% 7.61/5.82 (v201(constB177) <=> (~((~v157(constB177)) | (~v202(constB177))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33767, 47])).
% 7.61/5.82 tff(33769,plain,
% 7.61/5.82 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB177) <=> v192(constB177))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33770,plain,
% 7.61/5.82 (v157(constB177) <=> v192(constB177)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33769, 15407])).
% 7.61/5.82 tff(33771,plain,
% 7.61/5.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB176, constB177)) | (v192(constB177) <=> v190(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB176, constB177)) | (v192(constB177) <=> v190(constB176)))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33772,plain,
% 7.61/5.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB176, constB177)) | (v192(constB177) <=> v190(constB176)))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33773,plain,
% 7.61/5.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB176, constB177)) | (v192(constB177) <=> v190(constB176))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33772, 33771])).
% 7.61/5.82 tff(33774,plain,
% 7.61/5.82 (v192(constB177) <=> v190(constB176)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33773, 17049, 15419])).
% 7.61/5.82 tff(33775,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB176) <=> (v193(constB176) | v196(constB176)))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33776,plain,
% 7.61/5.82 (v190(constB176) <=> (v193(constB176) | v196(constB176))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33775, 15430])).
% 7.61/5.82 tff(33777,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB176) <=> (~((~v157(constB176)) | (~v194(constB176)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB176) <=> (~((~v157(constB176)) | (~v194(constB176))))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33778,plain,
% 7.61/5.82 ((v193(constB176) <=> (~((~v194(constB176)) | (~v157(constB176))))) <=> (v193(constB176) <=> (~((~v157(constB176)) | (~v194(constB176)))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33779,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB176) <=> (~((~v194(constB176)) | (~v157(constB176)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB176) <=> (~((~v157(constB176)) | (~v194(constB176))))))),
% 7.61/5.82 inference(monotonicity,[status(thm)],[33778])).
% 7.61/5.82 tff(33780,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB176) <=> (~((~v194(constB176)) | (~v157(constB176)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB176) <=> (~((~v157(constB176)) | (~v194(constB176))))))),
% 7.61/5.82 inference(transitivity,[status(thm)],[33779, 33777])).
% 7.61/5.82 tff(33781,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB176) <=> (~((~v194(constB176)) | (~v157(constB176)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33782,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB176) <=> (~((~v157(constB176)) | (~v194(constB176)))))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33781, 33780])).
% 7.61/5.82 tff(33783,plain,
% 7.61/5.82 (v193(constB176) <=> (~((~v157(constB176)) | (~v194(constB176))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33782, 15442])).
% 7.61/5.82 tff(33784,plain,
% 7.61/5.82 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB176) <=> v192(constB176))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33785,plain,
% 7.61/5.82 (v157(constB176) <=> v192(constB176)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33784, 15407])).
% 7.61/5.82 tff(33786,plain,
% 7.61/5.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB175, constB176)) | (v192(constB176) <=> v190(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB175, constB176)) | (v192(constB176) <=> v190(constB175)))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33787,plain,
% 7.61/5.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB175, constB176)) | (v192(constB176) <=> v190(constB175)))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33788,plain,
% 7.61/5.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB175, constB176)) | (v192(constB176) <=> v190(constB175))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33787, 33786])).
% 7.61/5.82 tff(33789,plain,
% 7.61/5.82 (v192(constB176) <=> v190(constB175)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33788, 17085, 15419])).
% 7.61/5.82 tff(33790,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB175) <=> (v193(constB175) | v196(constB175)))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33791,plain,
% 7.61/5.82 (v190(constB175) <=> (v193(constB175) | v196(constB175))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33790, 15430])).
% 7.61/5.82 tff(33792,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB175) <=> (~((~v159(constB175)) | (~v194(constB175)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB175) <=> (~((~v159(constB175)) | (~v194(constB175))))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33793,plain,
% 7.61/5.82 ((v196(constB175) <=> (~((~v194(constB175)) | (~v159(constB175))))) <=> (v196(constB175) <=> (~((~v159(constB175)) | (~v194(constB175)))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33794,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB175) <=> (~((~v194(constB175)) | (~v159(constB175)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB175) <=> (~((~v159(constB175)) | (~v194(constB175))))))),
% 7.61/5.82 inference(monotonicity,[status(thm)],[33793])).
% 7.61/5.82 tff(33795,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB175) <=> (~((~v194(constB175)) | (~v159(constB175)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB175) <=> (~((~v159(constB175)) | (~v194(constB175))))))),
% 7.61/5.82 inference(transitivity,[status(thm)],[33794, 33792])).
% 7.61/5.82 tff(33796,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB175) <=> (~((~v194(constB175)) | (~v159(constB175)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33797,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB175) <=> (~((~v159(constB175)) | (~v194(constB175)))))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33796, 33795])).
% 7.61/5.82 tff(33798,plain,
% 7.61/5.82 (v196(constB175) <=> (~((~v159(constB175)) | (~v194(constB175))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33797, 15467])).
% 7.61/5.82 tff(33799,plain,
% 7.61/5.82 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB175) <=> v182(constB175))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33800,plain,
% 7.61/5.82 (v159(constB175) <=> v182(constB175)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33799, 15113])).
% 7.61/5.82 tff(33801,plain,
% 7.61/5.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB174, constB175)) | (v182(constB175) <=> v180(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB174, constB175)) | (v182(constB175) <=> v180(constB174)))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33802,plain,
% 7.61/5.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB174, constB175)) | (v182(constB175) <=> v180(constB174)))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33803,plain,
% 7.61/5.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB174, constB175)) | (v182(constB175) <=> v180(constB174))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33802, 33801])).
% 7.61/5.82 tff(33804,plain,
% 7.61/5.82 (v182(constB175) <=> v180(constB174)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33803, 17110, 15125])).
% 7.61/5.82 tff(33805,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB174) <=> (~((~v183(constB174)) | (~v184(constB174)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33806,plain,
% 7.61/5.82 (v180(constB174) <=> (~((~v183(constB174)) | (~v184(constB174))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33805, 15139])).
% 7.61/5.82 tff(33807,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB174) <=> (~((~v185(constB174)) | (~v161(constB174)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33808,plain,
% 7.61/5.82 (v184(constB174) <=> (~((~v185(constB174)) | (~v161(constB174))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33807, 15151])).
% 7.61/5.82 tff(33809,plain,
% 7.61/5.82 (((~v185(constB174)) | (~v161(constB174))) | v185(constB174)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33810,plain,
% 7.61/5.82 ((~v185(constB174)) | (~v161(constB174))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33809, 15962])).
% 7.61/5.82 tff(33811,plain,
% 7.61/5.82 ((~(v184(constB174) <=> (~((~v185(constB174)) | (~v161(constB174)))))) | (~v184(constB174)) | (~((~v185(constB174)) | (~v161(constB174))))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33812,plain,
% 7.61/5.82 ((~(v184(constB174) <=> (~((~v185(constB174)) | (~v161(constB174)))))) | (~v184(constB174))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33811, 33810])).
% 7.61/5.82 tff(33813,plain,
% 7.61/5.82 (~v184(constB174)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33812, 33808])).
% 7.61/5.82 tff(33814,plain,
% 7.61/5.82 (((~v183(constB174)) | (~v184(constB174))) | v184(constB174)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33815,plain,
% 7.61/5.82 ((~v183(constB174)) | (~v184(constB174))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33814, 33813])).
% 7.61/5.82 tff(33816,plain,
% 7.61/5.82 ((~(v180(constB174) <=> (~((~v183(constB174)) | (~v184(constB174)))))) | (~v180(constB174)) | (~((~v183(constB174)) | (~v184(constB174))))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33817,plain,
% 7.61/5.82 (~v180(constB174)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33816, 33815, 33806])).
% 7.61/5.82 tff(33818,plain,
% 7.61/5.82 ((~(v182(constB175) <=> v180(constB174))) | (~v182(constB175)) | v180(constB174)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33819,plain,
% 7.61/5.82 (~v182(constB175)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33818, 33817, 33804])).
% 7.61/5.82 tff(33820,plain,
% 7.61/5.82 ((~(v159(constB175) <=> v182(constB175))) | (~v159(constB175)) | v182(constB175)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33821,plain,
% 7.61/5.82 (~v159(constB175)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33820, 33819, 33800])).
% 7.61/5.82 tff(33822,plain,
% 7.61/5.82 (((~v159(constB175)) | (~v194(constB175))) | v159(constB175)),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33823,plain,
% 7.61/5.82 ((~v159(constB175)) | (~v194(constB175))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33822, 33821])).
% 7.61/5.82 tff(33824,plain,
% 7.61/5.82 ((~(v196(constB175) <=> (~((~v159(constB175)) | (~v194(constB175)))))) | (~v196(constB175)) | (~((~v159(constB175)) | (~v194(constB175))))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33825,plain,
% 7.61/5.82 (~v196(constB175)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33824, 33823, 33798])).
% 7.61/5.82 tff(33826,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB175) <=> (~((~v157(constB175)) | (~v194(constB175)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB175) <=> (~((~v157(constB175)) | (~v194(constB175))))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33827,plain,
% 7.61/5.82 ((v193(constB175) <=> (~((~v194(constB175)) | (~v157(constB175))))) <=> (v193(constB175) <=> (~((~v157(constB175)) | (~v194(constB175)))))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33828,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB175) <=> (~((~v194(constB175)) | (~v157(constB175)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB175) <=> (~((~v157(constB175)) | (~v194(constB175))))))),
% 7.61/5.82 inference(monotonicity,[status(thm)],[33827])).
% 7.61/5.82 tff(33829,plain,
% 7.61/5.82 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB175) <=> (~((~v194(constB175)) | (~v157(constB175)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB175) <=> (~((~v157(constB175)) | (~v194(constB175))))))),
% 7.61/5.82 inference(transitivity,[status(thm)],[33828, 33826])).
% 7.61/5.82 tff(33830,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB175) <=> (~((~v194(constB175)) | (~v157(constB175)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33831,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB175) <=> (~((~v157(constB175)) | (~v194(constB175)))))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33830, 33829])).
% 7.61/5.82 tff(33832,plain,
% 7.61/5.82 (v193(constB175) <=> (~((~v157(constB175)) | (~v194(constB175))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33831, 15442])).
% 7.61/5.82 tff(33833,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB175)) <=> v195(constB175))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33834,plain,
% 7.61/5.82 ((~v194(constB175)) <=> v195(constB175)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33833, 15527])).
% 7.61/5.82 tff(33835,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB175) <=> (v185(constB175) | v26(constB175)))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33836,plain,
% 7.61/5.82 (v195(constB175) <=> (v185(constB175) | v26(constB175))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33835, 15536])).
% 7.61/5.82 tff(33837,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB175) <=> (~((~v39(constB175)) | (~v9(constB175)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33838,plain,
% 7.61/5.82 (v185(constB175) <=> (~((~v39(constB175)) | (~v9(constB175))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33837, 93])).
% 7.61/5.82 tff(33839,plain,
% 7.61/5.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175)))),
% 7.61/5.82 inference(rewrite,[status(thm)],[])).
% 7.61/5.82 tff(33840,plain,
% 7.61/5.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175)))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33841,plain,
% 7.61/5.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175))),
% 7.61/5.82 inference(modus_ponens,[status(thm)],[33840, 33839])).
% 7.61/5.82 tff(33842,plain,
% 7.61/5.82 (v13(constB176) <=> v9(constB175)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33841, 17085, 15550])).
% 7.61/5.82 tff(33843,plain,
% 7.61/5.82 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB176) <=> v13(constB176))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33844,plain,
% 7.61/5.82 (v6(constB176) <=> v13(constB176)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33843, 15564])).
% 7.61/5.82 tff(33845,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB176)) <=> v6(constB176))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33846,plain,
% 7.61/5.82 ((~v21(constB176)) <=> v6(constB176)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33845, 15573])).
% 7.61/5.82 tff(33847,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB176) <=> (v20(constB176) | v21(constB176)))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33848,plain,
% 7.61/5.82 (v19(constB176) <=> (v20(constB176) | v21(constB176))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33847, 15582])).
% 7.61/5.82 tff(33849,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176)))))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33850,plain,
% 7.61/5.82 (v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176))))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33849, 15594])).
% 7.61/5.82 tff(33851,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB176)) <=> v18(constB176))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33852,plain,
% 7.61/5.82 ((~v4(constB176)) <=> v18(constB176)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33851, 15603])).
% 7.61/5.82 tff(33853,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB176)),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33854,plain,
% 7.61/5.82 (v4(constB176)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33853, 15612])).
% 7.61/5.82 tff(33855,plain,
% 7.61/5.82 ((~((~v4(constB176)) <=> v18(constB176))) | (~v4(constB176)) | (~v18(constB176))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33856,plain,
% 7.61/5.82 (~v18(constB176)),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33855, 33854, 33852])).
% 7.61/5.82 tff(33857,plain,
% 7.61/5.82 ((~(v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176)))))) | v18(constB176) | ((~v19(constB176)) | (~v22(constB176)))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33858,plain,
% 7.61/5.82 ((~v19(constB176)) | (~v22(constB176))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33857, 33856, 33850])).
% 7.61/5.82 tff(33859,plain,
% 7.61/5.82 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB176) <=> (v1(constB176) | v6(constB176)))),
% 7.61/5.82 inference(quant_inst,[status(thm)],[])).
% 7.61/5.82 tff(33860,plain,
% 7.61/5.82 (v22(constB176) <=> (v1(constB176) | v6(constB176))),
% 7.61/5.82 inference(unit_resolution,[status(thm)],[33859, 15625])).
% 7.61/5.82 tff(33861,plain,
% 7.61/5.82 ((v1(constB176) | v6(constB176)) | (~v1(constB176))),
% 7.61/5.82 inference(tautology,[status(thm)],[])).
% 7.61/5.82 tff(33862,plain,
% 7.61/5.82 (v1(constB176) | v6(constB176)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33861, 22325])).
% 7.61/5.83 tff(33863,plain,
% 7.61/5.83 ((~(v22(constB176) <=> (v1(constB176) | v6(constB176)))) | v22(constB176) | (~(v1(constB176) | v6(constB176)))),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33864,plain,
% 7.61/5.83 ((~(v22(constB176) <=> (v1(constB176) | v6(constB176)))) | v22(constB176)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33863, 33862])).
% 7.61/5.83 tff(33865,plain,
% 7.61/5.83 (v22(constB176)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33864, 33860])).
% 7.61/5.83 tff(33866,plain,
% 7.61/5.83 ((~((~v19(constB176)) | (~v22(constB176)))) | (~v19(constB176)) | (~v22(constB176))),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33867,plain,
% 7.61/5.83 ((~((~v19(constB176)) | (~v22(constB176)))) | (~v19(constB176))),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33866, 33865])).
% 7.61/5.83 tff(33868,plain,
% 7.61/5.83 (~v19(constB176)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33867, 33858])).
% 7.61/5.83 tff(33869,plain,
% 7.61/5.83 ((~(v19(constB176) <=> (v20(constB176) | v21(constB176)))) | v19(constB176) | (~(v20(constB176) | v21(constB176)))),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33870,plain,
% 7.61/5.83 (~(v20(constB176) | v21(constB176))),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33869, 33868, 33848])).
% 7.61/5.83 tff(33871,plain,
% 7.61/5.83 ((v20(constB176) | v21(constB176)) | (~v21(constB176))),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33872,plain,
% 7.61/5.83 (~v21(constB176)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33871, 33870])).
% 7.61/5.83 tff(33873,plain,
% 7.61/5.83 ((~((~v21(constB176)) <=> v6(constB176))) | v21(constB176) | v6(constB176)),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33874,plain,
% 7.61/5.83 (v6(constB176)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33873, 33872, 33846])).
% 7.61/5.83 tff(33875,plain,
% 7.61/5.83 ((~(v6(constB176) <=> v13(constB176))) | (~v6(constB176)) | v13(constB176)),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33876,plain,
% 7.61/5.83 (v13(constB176)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33875, 33874, 33844])).
% 7.61/5.83 tff(33877,plain,
% 7.61/5.83 ((~(v13(constB176) <=> v9(constB175))) | (~v13(constB176)) | v9(constB175)),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33878,plain,
% 7.61/5.83 (v9(constB175)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33877, 33876, 33842])).
% 7.61/5.83 tff(33879,plain,
% 7.61/5.83 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB175)) <=> v1(constB175))),
% 7.61/5.83 inference(quant_inst,[status(thm)],[])).
% 7.61/5.83 tff(33880,plain,
% 7.61/5.83 ((~v39(constB175)) <=> v1(constB175)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33879, 102])).
% 7.61/5.83 tff(33881,plain,
% 7.61/5.83 ((~((~v39(constB175)) <=> v1(constB175))) | v39(constB175) | v1(constB175)),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33882,plain,
% 7.61/5.83 ((~((~v39(constB175)) <=> v1(constB175))) | v39(constB175)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33881, 17124])).
% 7.61/5.83 tff(33883,plain,
% 7.61/5.83 (v39(constB175)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33882, 33880])).
% 7.61/5.83 tff(33884,plain,
% 7.61/5.83 ((~((~v39(constB175)) | (~v9(constB175)))) | (~v39(constB175)) | (~v9(constB175))),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33885,plain,
% 7.61/5.83 ((~((~v39(constB175)) | (~v9(constB175)))) | (~v9(constB175))),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33884, 33883])).
% 7.61/5.83 tff(33886,plain,
% 7.61/5.83 (~((~v39(constB175)) | (~v9(constB175)))),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33885, 33878])).
% 7.61/5.83 tff(33887,plain,
% 7.61/5.83 ((~(v185(constB175) <=> (~((~v39(constB175)) | (~v9(constB175)))))) | v185(constB175) | ((~v39(constB175)) | (~v9(constB175)))),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33888,plain,
% 7.61/5.83 (v185(constB175)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33887, 33886, 33838])).
% 7.61/5.83 tff(33889,plain,
% 7.61/5.83 ((v185(constB175) | v26(constB175)) | (~v185(constB175))),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33890,plain,
% 7.61/5.83 (v185(constB175) | v26(constB175)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33889, 33888])).
% 7.61/5.83 tff(33891,plain,
% 7.61/5.83 ((~(v195(constB175) <=> (v185(constB175) | v26(constB175)))) | v195(constB175) | (~(v185(constB175) | v26(constB175)))),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33892,plain,
% 7.61/5.83 (v195(constB175)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33891, 33890, 33836])).
% 7.61/5.83 tff(33893,plain,
% 7.61/5.83 ((~((~v194(constB175)) <=> v195(constB175))) | (~v194(constB175)) | (~v195(constB175))),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33894,plain,
% 7.61/5.83 (~v194(constB175)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33893, 33892, 33834])).
% 7.61/5.83 tff(33895,plain,
% 7.61/5.83 (((~v157(constB175)) | (~v194(constB175))) | v194(constB175)),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33896,plain,
% 7.61/5.83 ((~v157(constB175)) | (~v194(constB175))),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33895, 33894])).
% 7.61/5.83 tff(33897,plain,
% 7.61/5.83 ((~(v193(constB175) <=> (~((~v157(constB175)) | (~v194(constB175)))))) | (~v193(constB175)) | (~((~v157(constB175)) | (~v194(constB175))))),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33898,plain,
% 7.61/5.83 (~v193(constB175)),
% 7.61/5.83 inference(unit_resolution,[status(thm)],[33897, 33896, 33832])).
% 7.61/5.83 tff(33899,plain,
% 7.61/5.83 ((~(v193(constB175) | v196(constB175))) | v193(constB175) | v196(constB175)),
% 7.61/5.83 inference(tautology,[status(thm)],[])).
% 7.61/5.83 tff(33900,plain,
% 7.64/5.83 (~(v193(constB175) | v196(constB175))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33899, 33898, 33825])).
% 7.64/5.83 tff(33901,plain,
% 7.64/5.83 ((~(v190(constB175) <=> (v193(constB175) | v196(constB175)))) | (~v190(constB175)) | (v193(constB175) | v196(constB175))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33902,plain,
% 7.64/5.83 (~v190(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33901, 33900, 33791])).
% 7.64/5.83 tff(33903,plain,
% 7.64/5.83 ((~(v192(constB176) <=> v190(constB175))) | (~v192(constB176)) | v190(constB175)),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33904,plain,
% 7.64/5.83 (~v192(constB176)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33903, 33902, 33789])).
% 7.64/5.83 tff(33905,plain,
% 7.64/5.83 ((~(v157(constB176) <=> v192(constB176))) | (~v157(constB176)) | v192(constB176)),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33906,plain,
% 7.64/5.83 (~v157(constB176)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33905, 33904, 33785])).
% 7.64/5.83 tff(33907,plain,
% 7.64/5.83 (((~v157(constB176)) | (~v194(constB176))) | v157(constB176)),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33908,plain,
% 7.64/5.83 ((~v157(constB176)) | (~v194(constB176))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33907, 33906])).
% 7.64/5.83 tff(33909,plain,
% 7.64/5.83 ((~(v193(constB176) <=> (~((~v157(constB176)) | (~v194(constB176)))))) | (~v193(constB176)) | (~((~v157(constB176)) | (~v194(constB176))))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33910,plain,
% 7.64/5.83 (~v193(constB176)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33909, 33908, 33783])).
% 7.64/5.83 tff(33911,plain,
% 7.64/5.83 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB176) <=> (~((~v159(constB176)) | (~v194(constB176)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB176) <=> (~((~v159(constB176)) | (~v194(constB176))))))),
% 7.64/5.83 inference(rewrite,[status(thm)],[])).
% 7.64/5.83 tff(33912,plain,
% 7.64/5.83 ((v196(constB176) <=> (~((~v194(constB176)) | (~v159(constB176))))) <=> (v196(constB176) <=> (~((~v159(constB176)) | (~v194(constB176)))))),
% 7.64/5.83 inference(rewrite,[status(thm)],[])).
% 7.64/5.83 tff(33913,plain,
% 7.64/5.83 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB176) <=> (~((~v194(constB176)) | (~v159(constB176)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB176) <=> (~((~v159(constB176)) | (~v194(constB176))))))),
% 7.64/5.83 inference(monotonicity,[status(thm)],[33912])).
% 7.64/5.83 tff(33914,plain,
% 7.64/5.83 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB176) <=> (~((~v194(constB176)) | (~v159(constB176)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB176) <=> (~((~v159(constB176)) | (~v194(constB176))))))),
% 7.64/5.83 inference(transitivity,[status(thm)],[33913, 33911])).
% 7.64/5.83 tff(33915,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB176) <=> (~((~v194(constB176)) | (~v159(constB176)))))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33916,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB176) <=> (~((~v159(constB176)) | (~v194(constB176)))))),
% 7.64/5.83 inference(modus_ponens,[status(thm)],[33915, 33914])).
% 7.64/5.83 tff(33917,plain,
% 7.64/5.83 (v196(constB176) <=> (~((~v159(constB176)) | (~v194(constB176))))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33916, 15467])).
% 7.64/5.83 tff(33918,plain,
% 7.64/5.83 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB176) <=> v182(constB176))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33919,plain,
% 7.64/5.83 (v159(constB176) <=> v182(constB176)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33918, 15113])).
% 7.64/5.83 tff(33920,plain,
% 7.64/5.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB175, constB176)) | (v182(constB176) <=> v180(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB175, constB176)) | (v182(constB176) <=> v180(constB175)))),
% 7.64/5.83 inference(rewrite,[status(thm)],[])).
% 7.64/5.83 tff(33921,plain,
% 7.64/5.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB175, constB176)) | (v182(constB176) <=> v180(constB175)))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33922,plain,
% 7.64/5.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB175, constB176)) | (v182(constB176) <=> v180(constB175))),
% 7.64/5.83 inference(modus_ponens,[status(thm)],[33921, 33920])).
% 7.64/5.83 tff(33923,plain,
% 7.64/5.83 (v182(constB176) <=> v180(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33922, 17085, 15125])).
% 7.64/5.83 tff(33924,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB175) <=> (~((~v183(constB175)) | (~v184(constB175)))))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33925,plain,
% 7.64/5.83 (v180(constB175) <=> (~((~v183(constB175)) | (~v184(constB175))))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33924, 15139])).
% 7.64/5.83 tff(33926,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB175) <=> (~((~v185(constB175)) | (~v161(constB175)))))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33927,plain,
% 7.64/5.83 (v184(constB175) <=> (~((~v185(constB175)) | (~v161(constB175))))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33926, 15151])).
% 7.64/5.83 tff(33928,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB175) <=> v163(constB175))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33929,plain,
% 7.64/5.83 (v161(constB175) <=> v163(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33928, 15701])).
% 7.64/5.83 tff(33930,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB175) <=> (v145(constB175) | v167(constB175)))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33931,plain,
% 7.64/5.83 (v166(constB175) <=> (v145(constB175) | v167(constB175))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33930, 15713])).
% 7.64/5.83 tff(33932,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB175) <=> (v142(constB175) | v168(constB175)))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33933,plain,
% 7.64/5.83 (v167(constB175) <=> (v142(constB175) | v168(constB175))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33932, 15725])).
% 7.64/5.83 tff(33934,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB175) <=> (v143(constB175) | v144(constB175)))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33935,plain,
% 7.64/5.83 (v142(constB175) <=> (v143(constB175) | v144(constB175))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33934, 221])).
% 7.64/5.83 tff(33936,plain,
% 7.64/5.83 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB175) <=> (~((~v88(constB175, 1)) | (~v88(constB175, 2)) | v88(constB175, 0))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB175) <=> (~((~v88(constB175, 1)) | (~v88(constB175, 2)) | v88(constB175, 0)))))),
% 7.64/5.83 inference(rewrite,[status(thm)],[])).
% 7.64/5.83 tff(33937,plain,
% 7.64/5.83 ((v144(constB175) <=> (~(v88(constB175, 0) | (~v88(constB175, 1)) | (~v88(constB175, 2))))) <=> (v144(constB175) <=> (~((~v88(constB175, 1)) | (~v88(constB175, 2)) | v88(constB175, 0))))),
% 7.64/5.83 inference(rewrite,[status(thm)],[])).
% 7.64/5.83 tff(33938,plain,
% 7.64/5.83 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB175) <=> (~(v88(constB175, 0) | (~v88(constB175, 1)) | (~v88(constB175, 2)))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB175) <=> (~((~v88(constB175, 1)) | (~v88(constB175, 2)) | v88(constB175, 0)))))),
% 7.64/5.83 inference(monotonicity,[status(thm)],[33937])).
% 7.64/5.83 tff(33939,plain,
% 7.64/5.83 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB175) <=> (~(v88(constB175, 0) | (~v88(constB175, 1)) | (~v88(constB175, 2)))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB175) <=> (~((~v88(constB175, 1)) | (~v88(constB175, 2)) | v88(constB175, 0)))))),
% 7.64/5.83 inference(transitivity,[status(thm)],[33938, 33936])).
% 7.64/5.83 tff(33940,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB175) <=> (~(v88(constB175, 0) | (~v88(constB175, 1)) | (~v88(constB175, 2)))))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33941,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB175) <=> (~((~v88(constB175, 1)) | (~v88(constB175, 2)) | v88(constB175, 0))))),
% 7.64/5.83 inference(modus_ponens,[status(thm)],[33940, 33939])).
% 7.64/5.83 tff(33942,plain,
% 7.64/5.83 (v144(constB175) <=> (~((~v88(constB175, 1)) | (~v88(constB175, 2)) | v88(constB175, 0)))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33941, 28763])).
% 7.64/5.83 tff(33943,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB175, 1)) <=> v90(constB175, 1)) | ((~v88(constB175, 2)) <=> v90(constB175, 2)) | ((~v88(constB175, 0)) <=> v90(constB175, 0))))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33944,plain,
% 7.64/5.83 (~(((~v88(constB175, 1)) <=> v90(constB175, 1)) | ((~v88(constB175, 2)) <=> v90(constB175, 2)) | ((~v88(constB175, 0)) <=> v90(constB175, 0)))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33943, 256])).
% 7.64/5.83 tff(33945,plain,
% 7.64/5.83 ((((~v88(constB175, 1)) <=> v90(constB175, 1)) | ((~v88(constB175, 2)) <=> v90(constB175, 2)) | ((~v88(constB175, 0)) <=> v90(constB175, 0))) | (~((~v88(constB175, 2)) <=> v90(constB175, 2)))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33946,plain,
% 7.64/5.83 (~((~v88(constB175, 2)) <=> v90(constB175, 2))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33945, 33944])).
% 7.64/5.83 tff(33947,plain,
% 7.64/5.83 (((~v88(constB175, 2)) <=> v90(constB175, 2)) | v88(constB175, 2) | (~v90(constB175, 2))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33948,plain,
% 7.64/5.83 (v88(constB175, 2)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33947, 22271, 33946])).
% 7.64/5.83 tff(33949,plain,
% 7.64/5.83 ((((~v88(constB175, 1)) <=> v90(constB175, 1)) | ((~v88(constB175, 2)) <=> v90(constB175, 2)) | ((~v88(constB175, 0)) <=> v90(constB175, 0))) | (~((~v88(constB175, 0)) <=> v90(constB175, 0)))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33950,plain,
% 7.64/5.83 (~((~v88(constB175, 0)) <=> v90(constB175, 0))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33949, 33944])).
% 7.64/5.83 tff(33951,plain,
% 7.64/5.83 (((~v88(constB175, 0)) <=> v90(constB175, 0)) | (~v88(constB175, 0)) | v90(constB175, 0)),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33952,plain,
% 7.64/5.83 (~v88(constB175, 0)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33951, 22191, 33950])).
% 7.64/5.83 tff(33953,plain,
% 7.64/5.83 ((((~v88(constB175, 1)) <=> v90(constB175, 1)) | ((~v88(constB175, 2)) <=> v90(constB175, 2)) | ((~v88(constB175, 0)) <=> v90(constB175, 0))) | (~((~v88(constB175, 1)) <=> v90(constB175, 1)))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33954,plain,
% 7.64/5.83 (~((~v88(constB175, 1)) <=> v90(constB175, 1))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33953, 33944])).
% 7.64/5.83 tff(33955,plain,
% 7.64/5.83 (((~v88(constB175, 1)) <=> v90(constB175, 1)) | v88(constB175, 1) | (~v90(constB175, 1))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33956,plain,
% 7.64/5.83 (v88(constB175, 1)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33955, 22231, 33954])).
% 7.64/5.83 tff(33957,plain,
% 7.64/5.83 ((~((~v88(constB175, 1)) | (~v88(constB175, 2)) | v88(constB175, 0))) | (~v88(constB175, 1)) | (~v88(constB175, 2)) | v88(constB175, 0)),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33958,plain,
% 7.64/5.83 (~((~v88(constB175, 1)) | (~v88(constB175, 2)) | v88(constB175, 0))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33957, 33956, 33952, 33948])).
% 7.64/5.83 tff(33959,plain,
% 7.64/5.83 ((~(v144(constB175) <=> (~((~v88(constB175, 1)) | (~v88(constB175, 2)) | v88(constB175, 0))))) | v144(constB175) | ((~v88(constB175, 1)) | (~v88(constB175, 2)) | v88(constB175, 0))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33960,plain,
% 7.64/5.83 (v144(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33959, 33958, 33942])).
% 7.64/5.83 tff(33961,plain,
% 7.64/5.83 ((v143(constB175) | v144(constB175)) | (~v144(constB175))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33962,plain,
% 7.64/5.83 (v143(constB175) | v144(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33961, 33960])).
% 7.64/5.83 tff(33963,plain,
% 7.64/5.83 ((~(v142(constB175) <=> (v143(constB175) | v144(constB175)))) | v142(constB175) | (~(v143(constB175) | v144(constB175)))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33964,plain,
% 7.64/5.83 (v142(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33963, 33962, 33935])).
% 7.64/5.83 tff(33965,plain,
% 7.64/5.83 ((v142(constB175) | v168(constB175)) | (~v142(constB175))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33966,plain,
% 7.64/5.83 (v142(constB175) | v168(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33965, 33964])).
% 7.64/5.83 tff(33967,plain,
% 7.64/5.83 ((~(v167(constB175) <=> (v142(constB175) | v168(constB175)))) | v167(constB175) | (~(v142(constB175) | v168(constB175)))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33968,plain,
% 7.64/5.83 ((~(v167(constB175) <=> (v142(constB175) | v168(constB175)))) | v167(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33967, 33966])).
% 7.64/5.83 tff(33969,plain,
% 7.64/5.83 (v167(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33968, 33933])).
% 7.64/5.83 tff(33970,plain,
% 7.64/5.83 ((v145(constB175) | v167(constB175)) | (~v167(constB175))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33971,plain,
% 7.64/5.83 (v145(constB175) | v167(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33970, 33969])).
% 7.64/5.83 tff(33972,plain,
% 7.64/5.83 ((~(v166(constB175) <=> (v145(constB175) | v167(constB175)))) | v166(constB175) | (~(v145(constB175) | v167(constB175)))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33973,plain,
% 7.64/5.83 (v166(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33972, 33971, 33931])).
% 7.64/5.83 tff(33974,plain,
% 7.64/5.83 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB175)) | (v163(constB175) <=> v170(constB175)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB175)) | (v163(constB175) <=> v170(constB175)))),
% 7.64/5.83 inference(rewrite,[status(thm)],[])).
% 7.64/5.83 tff(33975,plain,
% 7.64/5.83 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB175)) | (v163(constB175) <=> v170(constB175)))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33976,plain,
% 7.64/5.83 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB175)) | (v163(constB175) <=> v170(constB175))),
% 7.64/5.83 inference(modus_ponens,[status(thm)],[33975, 33974])).
% 7.64/5.83 tff(33977,plain,
% 7.64/5.83 ((~v166(constB175)) | (v163(constB175) <=> v170(constB175))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33976, 15777])).
% 7.64/5.83 tff(33978,plain,
% 7.64/5.83 (v163(constB175) <=> v170(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33977, 33973])).
% 7.64/5.83 tff(33979,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB175) <=> (~(v88(constB175, 1) | v88(constB175, 2) | (~v88(constB175, 0)))))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33980,plain,
% 7.64/5.83 (v140(constB175) <=> (~(v88(constB175, 1) | v88(constB175, 2) | (~v88(constB175, 0))))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33979, 15814])).
% 7.64/5.83 tff(33981,plain,
% 7.64/5.83 ((v88(constB175, 1) | v88(constB175, 2) | (~v88(constB175, 0))) | v88(constB175, 0)),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33982,plain,
% 7.64/5.83 (v88(constB175, 1) | v88(constB175, 2) | (~v88(constB175, 0))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33981, 33952])).
% 7.64/5.83 tff(33983,plain,
% 7.64/5.83 ((~(v140(constB175) <=> (~(v88(constB175, 1) | v88(constB175, 2) | (~v88(constB175, 0)))))) | (~v140(constB175)) | (~(v88(constB175, 1) | v88(constB175, 2) | (~v88(constB175, 0))))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33984,plain,
% 7.64/5.83 (~v140(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33983, 33982, 33980])).
% 7.64/5.83 tff(33985,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB175) <=> (~(v88(constB175, 0) | v88(constB175, 1) | v88(constB175, 2))))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33986,plain,
% 7.64/5.83 (v139(constB175) <=> (~(v88(constB175, 0) | v88(constB175, 1) | v88(constB175, 2)))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33985, 15795])).
% 7.64/5.83 tff(33987,plain,
% 7.64/5.83 ((v88(constB175, 0) | v88(constB175, 1) | v88(constB175, 2)) | (~v88(constB175, 2))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33988,plain,
% 7.64/5.83 (v88(constB175, 0) | v88(constB175, 1) | v88(constB175, 2)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33987, 33948])).
% 7.64/5.83 tff(33989,plain,
% 7.64/5.83 ((~(v139(constB175) <=> (~(v88(constB175, 0) | v88(constB175, 1) | v88(constB175, 2))))) | (~v139(constB175)) | (~(v88(constB175, 0) | v88(constB175, 1) | v88(constB175, 2)))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33990,plain,
% 7.64/5.83 (~v139(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33989, 33988, 33986])).
% 7.64/5.83 tff(33991,plain,
% 7.64/5.83 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB175) | v139(constB175) | (~v170(constB175)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB175) | v139(constB175) | (~v170(constB175)))),
% 7.64/5.83 inference(rewrite,[status(thm)],[])).
% 7.64/5.83 tff(33992,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB175) | v139(constB175) | (~v170(constB175)))),
% 7.64/5.83 inference(quant_inst,[status(thm)],[])).
% 7.64/5.83 tff(33993,plain,
% 7.64/5.83 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB175) | v139(constB175) | (~v170(constB175))),
% 7.64/5.83 inference(modus_ponens,[status(thm)],[33992, 33991])).
% 7.64/5.83 tff(33994,plain,
% 7.64/5.83 (v140(constB175) | v139(constB175) | (~v170(constB175))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33993, 15833])).
% 7.64/5.83 tff(33995,plain,
% 7.64/5.83 (~v170(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33994, 33990, 33984])).
% 7.64/5.83 tff(33996,plain,
% 7.64/5.83 ((~(v163(constB175) <=> v170(constB175))) | (~v163(constB175)) | v170(constB175)),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(33997,plain,
% 7.64/5.83 ((~(v163(constB175) <=> v170(constB175))) | (~v163(constB175))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33996, 33995])).
% 7.64/5.83 tff(33998,plain,
% 7.64/5.83 (~v163(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33997, 33978])).
% 7.64/5.83 tff(33999,plain,
% 7.64/5.83 ((~(v161(constB175) <=> v163(constB175))) | (~v161(constB175)) | v163(constB175)),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(34000,plain,
% 7.64/5.83 ((~(v161(constB175) <=> v163(constB175))) | (~v161(constB175))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[33999, 33998])).
% 7.64/5.83 tff(34001,plain,
% 7.64/5.83 (~v161(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[34000, 33929])).
% 7.64/5.83 tff(34002,plain,
% 7.64/5.83 (((~v185(constB175)) | (~v161(constB175))) | v161(constB175)),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(34003,plain,
% 7.64/5.83 ((~v185(constB175)) | (~v161(constB175))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[34002, 34001])).
% 7.64/5.83 tff(34004,plain,
% 7.64/5.83 ((~(v184(constB175) <=> (~((~v185(constB175)) | (~v161(constB175)))))) | (~v184(constB175)) | (~((~v185(constB175)) | (~v161(constB175))))),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(34005,plain,
% 7.64/5.83 (~v184(constB175)),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[34004, 34003, 33927])).
% 7.64/5.83 tff(34006,plain,
% 7.64/5.83 (((~v183(constB175)) | (~v184(constB175))) | v184(constB175)),
% 7.64/5.83 inference(tautology,[status(thm)],[])).
% 7.64/5.83 tff(34007,plain,
% 7.64/5.83 ((~v183(constB175)) | (~v184(constB175))),
% 7.64/5.83 inference(unit_resolution,[status(thm)],[34006, 34005])).
% 7.65/5.83 tff(34008,plain,
% 7.65/5.83 ((~(v180(constB175) <=> (~((~v183(constB175)) | (~v184(constB175)))))) | (~v180(constB175)) | (~((~v183(constB175)) | (~v184(constB175))))),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34009,plain,
% 7.65/5.83 (~v180(constB175)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34008, 34007, 33925])).
% 7.65/5.83 tff(34010,plain,
% 7.65/5.83 ((~(v182(constB176) <=> v180(constB175))) | (~v182(constB176)) | v180(constB175)),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34011,plain,
% 7.65/5.83 (~v182(constB176)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34010, 34009, 33923])).
% 7.65/5.83 tff(34012,plain,
% 7.65/5.83 ((~(v159(constB176) <=> v182(constB176))) | (~v159(constB176)) | v182(constB176)),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34013,plain,
% 7.65/5.83 (~v159(constB176)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34012, 34011, 33919])).
% 7.65/5.83 tff(34014,plain,
% 7.65/5.83 (((~v159(constB176)) | (~v194(constB176))) | v159(constB176)),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34015,plain,
% 7.65/5.83 ((~v159(constB176)) | (~v194(constB176))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34014, 34013])).
% 7.65/5.83 tff(34016,plain,
% 7.65/5.83 ((~(v196(constB176) <=> (~((~v159(constB176)) | (~v194(constB176)))))) | (~v196(constB176)) | (~((~v159(constB176)) | (~v194(constB176))))),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34017,plain,
% 7.65/5.83 (~v196(constB176)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34016, 34015, 33917])).
% 7.65/5.83 tff(34018,plain,
% 7.65/5.83 ((~(v193(constB176) | v196(constB176))) | v193(constB176) | v196(constB176)),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34019,plain,
% 7.65/5.83 (~(v193(constB176) | v196(constB176))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34018, 34017, 33910])).
% 7.65/5.83 tff(34020,plain,
% 7.65/5.83 ((~(v190(constB176) <=> (v193(constB176) | v196(constB176)))) | (~v190(constB176)) | (v193(constB176) | v196(constB176))),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34021,plain,
% 7.65/5.83 (~v190(constB176)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34020, 34019, 33776])).
% 7.65/5.83 tff(34022,plain,
% 7.65/5.83 ((~(v192(constB177) <=> v190(constB176))) | (~v192(constB177)) | v190(constB176)),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34023,plain,
% 7.65/5.83 (~v192(constB177)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34022, 34021, 33774])).
% 7.65/5.83 tff(34024,plain,
% 7.65/5.83 ((~(v157(constB177) <=> v192(constB177))) | (~v157(constB177)) | v192(constB177)),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34025,plain,
% 7.65/5.83 (~v157(constB177)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34024, 34023, 33770])).
% 7.65/5.83 tff(34026,plain,
% 7.65/5.83 (((~v157(constB177)) | (~v202(constB177))) | v157(constB177)),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34027,plain,
% 7.65/5.83 ((~v157(constB177)) | (~v202(constB177))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34026, 34025])).
% 7.65/5.83 tff(34028,plain,
% 7.65/5.83 ((~(v201(constB177) <=> (~((~v157(constB177)) | (~v202(constB177)))))) | (~v201(constB177)) | (~((~v157(constB177)) | (~v202(constB177))))),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34029,plain,
% 7.65/5.83 (~v201(constB177)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34028, 34027, 33768])).
% 7.65/5.83 tff(34030,plain,
% 7.65/5.83 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB177) <=> (~((~v159(constB177)) | (~v202(constB177)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB177) <=> (~((~v159(constB177)) | (~v202(constB177))))))),
% 7.65/5.83 inference(rewrite,[status(thm)],[])).
% 7.65/5.83 tff(34031,plain,
% 7.65/5.83 ((v205(constB177) <=> (~((~v202(constB177)) | (~v159(constB177))))) <=> (v205(constB177) <=> (~((~v159(constB177)) | (~v202(constB177)))))),
% 7.65/5.83 inference(rewrite,[status(thm)],[])).
% 7.65/5.83 tff(34032,plain,
% 7.65/5.83 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB177) <=> (~((~v202(constB177)) | (~v159(constB177)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB177) <=> (~((~v159(constB177)) | (~v202(constB177))))))),
% 7.65/5.83 inference(monotonicity,[status(thm)],[34031])).
% 7.65/5.83 tff(34033,plain,
% 7.65/5.83 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB177) <=> (~((~v202(constB177)) | (~v159(constB177)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB177) <=> (~((~v159(constB177)) | (~v202(constB177))))))),
% 7.65/5.83 inference(transitivity,[status(thm)],[34032, 34030])).
% 7.65/5.83 tff(34034,plain,
% 7.65/5.83 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB177) <=> (~((~v202(constB177)) | (~v159(constB177)))))),
% 7.65/5.83 inference(quant_inst,[status(thm)],[])).
% 7.65/5.83 tff(34035,plain,
% 7.65/5.83 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB177) <=> (~((~v159(constB177)) | (~v202(constB177)))))),
% 7.65/5.83 inference(modus_ponens,[status(thm)],[34034, 34033])).
% 7.65/5.83 tff(34036,plain,
% 7.65/5.83 (v205(constB177) <=> (~((~v159(constB177)) | (~v202(constB177))))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34035, 138])).
% 7.65/5.83 tff(34037,plain,
% 7.65/5.83 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB177) <=> v182(constB177))),
% 7.65/5.83 inference(quant_inst,[status(thm)],[])).
% 7.65/5.83 tff(34038,plain,
% 7.65/5.83 (v159(constB177) <=> v182(constB177)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34037, 15113])).
% 7.65/5.83 tff(34039,plain,
% 7.65/5.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB176, constB177)) | (v182(constB177) <=> v180(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB176, constB177)) | (v182(constB177) <=> v180(constB176)))),
% 7.65/5.83 inference(rewrite,[status(thm)],[])).
% 7.65/5.83 tff(34040,plain,
% 7.65/5.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB176, constB177)) | (v182(constB177) <=> v180(constB176)))),
% 7.65/5.83 inference(quant_inst,[status(thm)],[])).
% 7.65/5.83 tff(34041,plain,
% 7.65/5.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB176, constB177)) | (v182(constB177) <=> v180(constB176))),
% 7.65/5.83 inference(modus_ponens,[status(thm)],[34040, 34039])).
% 7.65/5.83 tff(34042,plain,
% 7.65/5.83 (v182(constB177) <=> v180(constB176)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34041, 17049, 15125])).
% 7.65/5.83 tff(34043,plain,
% 7.65/5.83 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB176) <=> (~((~v183(constB176)) | (~v184(constB176)))))),
% 7.65/5.83 inference(quant_inst,[status(thm)],[])).
% 7.65/5.83 tff(34044,plain,
% 7.65/5.83 (v180(constB176) <=> (~((~v183(constB176)) | (~v184(constB176))))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34043, 15139])).
% 7.65/5.83 tff(34045,plain,
% 7.65/5.83 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB176) <=> (~((~v185(constB176)) | (~v161(constB176)))))),
% 7.65/5.83 inference(quant_inst,[status(thm)],[])).
% 7.65/5.83 tff(34046,plain,
% 7.65/5.83 (v184(constB176) <=> (~((~v185(constB176)) | (~v161(constB176))))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34045, 15151])).
% 7.65/5.83 tff(34047,plain,
% 7.65/5.83 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))),
% 7.65/5.83 inference(quant_inst,[status(thm)],[])).
% 7.65/5.83 tff(34048,plain,
% 7.65/5.83 (v185(constB176) <=> (~((~v39(constB176)) | (~v9(constB176))))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34047, 93])).
% 7.65/5.83 tff(34049,plain,
% 7.65/5.83 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB176)) <=> v1(constB176))),
% 7.65/5.83 inference(quant_inst,[status(thm)],[])).
% 7.65/5.83 tff(34050,plain,
% 7.65/5.83 ((~v39(constB176)) <=> v1(constB176)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34049, 102])).
% 7.65/5.83 tff(34051,plain,
% 7.65/5.83 ((~((~v39(constB176)) <=> v1(constB176))) | (~v39(constB176)) | (~v1(constB176))),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34052,plain,
% 7.65/5.83 ((~((~v39(constB176)) <=> v1(constB176))) | (~v39(constB176))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34051, 22325])).
% 7.65/5.83 tff(34053,plain,
% 7.65/5.83 (~v39(constB176)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34052, 34050])).
% 7.65/5.83 tff(34054,plain,
% 7.65/5.83 (((~v39(constB176)) | (~v9(constB176))) | v39(constB176)),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34055,plain,
% 7.65/5.83 ((~v39(constB176)) | (~v9(constB176))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34054, 34053])).
% 7.65/5.83 tff(34056,plain,
% 7.65/5.83 ((~(v185(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))) | (~v185(constB176)) | (~((~v39(constB176)) | (~v9(constB176))))),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34057,plain,
% 7.65/5.83 ((~(v185(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))) | (~v185(constB176))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34056, 34055])).
% 7.65/5.83 tff(34058,plain,
% 7.65/5.83 (~v185(constB176)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34057, 34048])).
% 7.65/5.83 tff(34059,plain,
% 7.65/5.83 (((~v185(constB176)) | (~v161(constB176))) | v185(constB176)),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34060,plain,
% 7.65/5.83 ((~v185(constB176)) | (~v161(constB176))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34059, 34058])).
% 7.65/5.83 tff(34061,plain,
% 7.65/5.83 ((~(v184(constB176) <=> (~((~v185(constB176)) | (~v161(constB176)))))) | (~v184(constB176)) | (~((~v185(constB176)) | (~v161(constB176))))),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34062,plain,
% 7.65/5.83 ((~(v184(constB176) <=> (~((~v185(constB176)) | (~v161(constB176)))))) | (~v184(constB176))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34061, 34060])).
% 7.65/5.83 tff(34063,plain,
% 7.65/5.83 (~v184(constB176)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34062, 34046])).
% 7.65/5.83 tff(34064,plain,
% 7.65/5.83 (((~v183(constB176)) | (~v184(constB176))) | v184(constB176)),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34065,plain,
% 7.65/5.83 ((~v183(constB176)) | (~v184(constB176))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34064, 34063])).
% 7.65/5.83 tff(34066,plain,
% 7.65/5.83 ((~(v180(constB176) <=> (~((~v183(constB176)) | (~v184(constB176)))))) | (~v180(constB176)) | (~((~v183(constB176)) | (~v184(constB176))))),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34067,plain,
% 7.65/5.83 (~v180(constB176)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34066, 34065, 34044])).
% 7.65/5.83 tff(34068,plain,
% 7.65/5.83 ((~(v182(constB177) <=> v180(constB176))) | (~v182(constB177)) | v180(constB176)),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34069,plain,
% 7.65/5.83 (~v182(constB177)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34068, 34067, 34042])).
% 7.65/5.83 tff(34070,plain,
% 7.65/5.83 ((~(v159(constB177) <=> v182(constB177))) | (~v159(constB177)) | v182(constB177)),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34071,plain,
% 7.65/5.83 (~v159(constB177)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34070, 34069, 34038])).
% 7.65/5.83 tff(34072,plain,
% 7.65/5.83 (((~v159(constB177)) | (~v202(constB177))) | v159(constB177)),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34073,plain,
% 7.65/5.83 ((~v159(constB177)) | (~v202(constB177))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34072, 34071])).
% 7.65/5.83 tff(34074,plain,
% 7.65/5.83 ((~(v205(constB177) <=> (~((~v159(constB177)) | (~v202(constB177)))))) | (~v205(constB177)) | (~((~v159(constB177)) | (~v202(constB177))))),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34075,plain,
% 7.65/5.83 (~v205(constB177)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34074, 34073, 34036])).
% 7.65/5.83 tff(34076,plain,
% 7.65/5.83 ((~(v201(constB177) | v205(constB177))) | v201(constB177) | v205(constB177)),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34077,plain,
% 7.65/5.83 ((~(v201(constB177) | v205(constB177))) | v201(constB177)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34076, 34075])).
% 7.65/5.83 tff(34078,plain,
% 7.65/5.83 (~(v201(constB177) | v205(constB177))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34077, 34029])).
% 7.65/5.83 tff(34079,plain,
% 7.65/5.83 ((~(v200(constB177) <=> (v201(constB177) | v205(constB177)))) | (~v200(constB177)) | (v201(constB177) | v205(constB177))),
% 7.65/5.83 inference(tautology,[status(thm)],[])).
% 7.65/5.83 tff(34080,plain,
% 7.65/5.83 (~v200(constB177)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34079, 34078, 33761])).
% 7.65/5.83 tff(34081,plain,
% 7.65/5.83 ($false),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34080, 33759])).
% 7.65/5.83 tff(34082,plain,(~(constB177 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.65/5.83 tff(34083,assumption,(constB161 = VarCurr!0), introduced(assumption)).
% 7.65/5.83 tff(34084,plain,
% 7.65/5.83 (v200(constB161) <=> v200(VarCurr!0)),
% 7.65/5.83 inference(monotonicity,[status(thm)],[34083])).
% 7.65/5.83 tff(34085,plain,
% 7.65/5.83 (v200(VarCurr!0) <=> v200(constB161)),
% 7.65/5.83 inference(symmetry,[status(thm)],[34084])).
% 7.65/5.83 tff(34086,plain,
% 7.65/5.83 (v200(constB161)),
% 7.65/5.83 inference(modus_ponens,[status(thm)],[27, 34085])).
% 7.65/5.83 tff(34087,plain,
% 7.65/5.83 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB161) <=> (v201(constB161) | v205(constB161)))),
% 7.65/5.83 inference(quant_inst,[status(thm)],[])).
% 7.65/5.83 tff(34088,plain,
% 7.65/5.83 (v200(constB161) <=> (v201(constB161) | v205(constB161))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34087, 35])).
% 7.65/5.83 tff(34089,plain,
% 7.65/5.83 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB161) <=> (~((~v157(constB161)) | (~v202(constB161)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB161) <=> (~((~v157(constB161)) | (~v202(constB161))))))),
% 7.65/5.83 inference(rewrite,[status(thm)],[])).
% 7.65/5.83 tff(34090,plain,
% 7.65/5.83 ((v201(constB161) <=> (~((~v202(constB161)) | (~v157(constB161))))) <=> (v201(constB161) <=> (~((~v157(constB161)) | (~v202(constB161)))))),
% 7.65/5.83 inference(rewrite,[status(thm)],[])).
% 7.65/5.83 tff(34091,plain,
% 7.65/5.83 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB161) <=> (~((~v202(constB161)) | (~v157(constB161)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB161) <=> (~((~v157(constB161)) | (~v202(constB161))))))),
% 7.65/5.83 inference(monotonicity,[status(thm)],[34090])).
% 7.65/5.83 tff(34092,plain,
% 7.65/5.83 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB161) <=> (~((~v202(constB161)) | (~v157(constB161)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB161) <=> (~((~v157(constB161)) | (~v202(constB161))))))),
% 7.65/5.83 inference(transitivity,[status(thm)],[34091, 34089])).
% 7.65/5.83 tff(34093,plain,
% 7.65/5.83 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB161) <=> (~((~v202(constB161)) | (~v157(constB161)))))),
% 7.65/5.83 inference(quant_inst,[status(thm)],[])).
% 7.65/5.83 tff(34094,plain,
% 7.65/5.83 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB161) <=> (~((~v157(constB161)) | (~v202(constB161)))))),
% 7.65/5.83 inference(modus_ponens,[status(thm)],[34093, 34092])).
% 7.65/5.83 tff(34095,plain,
% 7.65/5.83 (v201(constB161) <=> (~((~v157(constB161)) | (~v202(constB161))))),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34094, 47])).
% 7.65/5.83 tff(34096,plain,
% 7.65/5.83 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB161) <=> v192(constB161))),
% 7.65/5.83 inference(quant_inst,[status(thm)],[])).
% 7.65/5.83 tff(34097,plain,
% 7.65/5.83 (v157(constB161) <=> v192(constB161)),
% 7.65/5.83 inference(unit_resolution,[status(thm)],[34096, 15407])).
% 7.65/5.83 tff(34098,plain,
% 7.65/5.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB160, constB161)) | (v192(constB161) <=> v190(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB160, constB161)) | (v192(constB161) <=> v190(constB160)))),
% 7.65/5.83 inference(rewrite,[status(thm)],[])).
% 7.65/5.83 tff(34099,plain,
% 7.65/5.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB160, constB161)) | (v192(constB161) <=> v190(constB160)))),
% 7.65/5.83 inference(quant_inst,[status(thm)],[])).
% 7.65/5.83 tff(34100,plain,
% 7.65/5.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB160, constB161)) | (v192(constB161) <=> v190(constB160))),
% 7.65/5.83 inference(modus_ponens,[status(thm)],[34099, 34098])).
% 7.65/5.84 tff(34101,plain,
% 7.65/5.84 (v192(constB161) <=> v190(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34100, 17562, 15419])).
% 7.65/5.84 tff(34102,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB160) <=> (v193(constB160) | v196(constB160)))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34103,plain,
% 7.65/5.84 (v190(constB160) <=> (v193(constB160) | v196(constB160))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34102, 15430])).
% 7.65/5.84 tff(34104,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB160) <=> (~((~v157(constB160)) | (~v194(constB160)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB160) <=> (~((~v157(constB160)) | (~v194(constB160))))))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34105,plain,
% 7.65/5.84 ((v193(constB160) <=> (~((~v194(constB160)) | (~v157(constB160))))) <=> (v193(constB160) <=> (~((~v157(constB160)) | (~v194(constB160)))))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34106,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB160) <=> (~((~v194(constB160)) | (~v157(constB160)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB160) <=> (~((~v157(constB160)) | (~v194(constB160))))))),
% 7.65/5.84 inference(monotonicity,[status(thm)],[34105])).
% 7.65/5.84 tff(34107,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB160) <=> (~((~v194(constB160)) | (~v157(constB160)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB160) <=> (~((~v157(constB160)) | (~v194(constB160))))))),
% 7.65/5.84 inference(transitivity,[status(thm)],[34106, 34104])).
% 7.65/5.84 tff(34108,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB160) <=> (~((~v194(constB160)) | (~v157(constB160)))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34109,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB160) <=> (~((~v157(constB160)) | (~v194(constB160)))))),
% 7.65/5.84 inference(modus_ponens,[status(thm)],[34108, 34107])).
% 7.65/5.84 tff(34110,plain,
% 7.65/5.84 (v193(constB160) <=> (~((~v157(constB160)) | (~v194(constB160))))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34109, 15442])).
% 7.65/5.84 tff(34111,plain,
% 7.65/5.84 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB160) <=> v192(constB160))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34112,plain,
% 7.65/5.84 (v157(constB160) <=> v192(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34111, 15407])).
% 7.65/5.84 tff(34113,plain,
% 7.65/5.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB159, constB160)) | (v192(constB160) <=> v190(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB159, constB160)) | (v192(constB160) <=> v190(constB159)))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34114,plain,
% 7.65/5.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB159, constB160)) | (v192(constB160) <=> v190(constB159)))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34115,plain,
% 7.65/5.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB159, constB160)) | (v192(constB160) <=> v190(constB159))),
% 7.65/5.84 inference(modus_ponens,[status(thm)],[34114, 34113])).
% 7.65/5.84 tff(34116,plain,
% 7.65/5.84 (v192(constB160) <=> v190(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34115, 17598, 15419])).
% 7.65/5.84 tff(34117,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB159) <=> (v193(constB159) | v196(constB159)))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34118,plain,
% 7.65/5.84 (v190(constB159) <=> (v193(constB159) | v196(constB159))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34117, 15430])).
% 7.65/5.84 tff(34119,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB159) <=> (~((~v159(constB159)) | (~v194(constB159)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB159) <=> (~((~v159(constB159)) | (~v194(constB159))))))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34120,plain,
% 7.65/5.84 ((v196(constB159) <=> (~((~v194(constB159)) | (~v159(constB159))))) <=> (v196(constB159) <=> (~((~v159(constB159)) | (~v194(constB159)))))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34121,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB159) <=> (~((~v194(constB159)) | (~v159(constB159)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB159) <=> (~((~v159(constB159)) | (~v194(constB159))))))),
% 7.65/5.84 inference(monotonicity,[status(thm)],[34120])).
% 7.65/5.84 tff(34122,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB159) <=> (~((~v194(constB159)) | (~v159(constB159)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB159) <=> (~((~v159(constB159)) | (~v194(constB159))))))),
% 7.65/5.84 inference(transitivity,[status(thm)],[34121, 34119])).
% 7.65/5.84 tff(34123,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB159) <=> (~((~v194(constB159)) | (~v159(constB159)))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34124,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB159) <=> (~((~v159(constB159)) | (~v194(constB159)))))),
% 7.65/5.84 inference(modus_ponens,[status(thm)],[34123, 34122])).
% 7.65/5.84 tff(34125,plain,
% 7.65/5.84 (v196(constB159) <=> (~((~v159(constB159)) | (~v194(constB159))))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34124, 15467])).
% 7.65/5.84 tff(34126,plain,
% 7.65/5.84 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB159) <=> v182(constB159))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34127,plain,
% 7.65/5.84 (v159(constB159) <=> v182(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34126, 15113])).
% 7.65/5.84 tff(34128,plain,
% 7.65/5.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB158, constB159)) | (v182(constB159) <=> v180(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB158, constB159)) | (v182(constB159) <=> v180(constB158)))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34129,plain,
% 7.65/5.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB158, constB159)) | (v182(constB159) <=> v180(constB158)))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34130,plain,
% 7.65/5.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB158, constB159)) | (v182(constB159) <=> v180(constB158))),
% 7.65/5.84 inference(modus_ponens,[status(thm)],[34129, 34128])).
% 7.65/5.84 tff(34131,plain,
% 7.65/5.84 (v182(constB159) <=> v180(constB158)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34130, 17628, 15125])).
% 7.65/5.84 tff(34132,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB158) <=> (~((~v183(constB158)) | (~v184(constB158)))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34133,plain,
% 7.65/5.84 (v180(constB158) <=> (~((~v183(constB158)) | (~v184(constB158))))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34132, 15139])).
% 7.65/5.84 tff(34134,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB158) <=> (~((~v185(constB158)) | (~v161(constB158)))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34135,plain,
% 7.65/5.84 (v184(constB158) <=> (~((~v185(constB158)) | (~v161(constB158))))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34134, 15151])).
% 7.65/5.84 tff(34136,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34137,plain,
% 7.65/5.84 (v185(constB158) <=> (~((~v39(constB158)) | (~v9(constB158))))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34136, 93])).
% 7.65/5.84 tff(34138,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB158)) <=> v1(constB158))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34139,plain,
% 7.65/5.84 ((~v39(constB158)) <=> v1(constB158)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34138, 102])).
% 7.65/5.84 tff(34140,plain,
% 7.65/5.84 ((~((~v39(constB158)) <=> v1(constB158))) | (~v39(constB158)) | (~v1(constB158))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34141,plain,
% 7.65/5.84 ((~((~v39(constB158)) <=> v1(constB158))) | (~v39(constB158))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34140, 20866])).
% 7.65/5.84 tff(34142,plain,
% 7.65/5.84 (~v39(constB158)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34141, 34139])).
% 7.65/5.84 tff(34143,plain,
% 7.65/5.84 (((~v39(constB158)) | (~v9(constB158))) | v39(constB158)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34144,plain,
% 7.65/5.84 ((~v39(constB158)) | (~v9(constB158))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34143, 34142])).
% 7.65/5.84 tff(34145,plain,
% 7.65/5.84 ((~(v185(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))) | (~v185(constB158)) | (~((~v39(constB158)) | (~v9(constB158))))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34146,plain,
% 7.65/5.84 ((~(v185(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))) | (~v185(constB158))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34145, 34144])).
% 7.65/5.84 tff(34147,plain,
% 7.65/5.84 (~v185(constB158)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34146, 34137])).
% 7.65/5.84 tff(34148,plain,
% 7.65/5.84 (((~v185(constB158)) | (~v161(constB158))) | v185(constB158)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34149,plain,
% 7.65/5.84 ((~v185(constB158)) | (~v161(constB158))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34148, 34147])).
% 7.65/5.84 tff(34150,plain,
% 7.65/5.84 ((~(v184(constB158) <=> (~((~v185(constB158)) | (~v161(constB158)))))) | (~v184(constB158)) | (~((~v185(constB158)) | (~v161(constB158))))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34151,plain,
% 7.65/5.84 ((~(v184(constB158) <=> (~((~v185(constB158)) | (~v161(constB158)))))) | (~v184(constB158))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34150, 34149])).
% 7.65/5.84 tff(34152,plain,
% 7.65/5.84 (~v184(constB158)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34151, 34135])).
% 7.65/5.84 tff(34153,plain,
% 7.65/5.84 (((~v183(constB158)) | (~v184(constB158))) | v184(constB158)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34154,plain,
% 7.65/5.84 ((~v183(constB158)) | (~v184(constB158))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34153, 34152])).
% 7.65/5.84 tff(34155,plain,
% 7.65/5.84 ((~(v180(constB158) <=> (~((~v183(constB158)) | (~v184(constB158)))))) | (~v180(constB158)) | (~((~v183(constB158)) | (~v184(constB158))))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34156,plain,
% 7.65/5.84 (~v180(constB158)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34155, 34154, 34133])).
% 7.65/5.84 tff(34157,plain,
% 7.65/5.84 ((~(v182(constB159) <=> v180(constB158))) | (~v182(constB159)) | v180(constB158)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34158,plain,
% 7.65/5.84 (~v182(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34157, 34156, 34131])).
% 7.65/5.84 tff(34159,plain,
% 7.65/5.84 ((~(v159(constB159) <=> v182(constB159))) | (~v159(constB159)) | v182(constB159)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34160,plain,
% 7.65/5.84 (~v159(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34159, 34158, 34127])).
% 7.65/5.84 tff(34161,plain,
% 7.65/5.84 (((~v159(constB159)) | (~v194(constB159))) | v159(constB159)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34162,plain,
% 7.65/5.84 ((~v159(constB159)) | (~v194(constB159))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34161, 34160])).
% 7.65/5.84 tff(34163,plain,
% 7.65/5.84 ((~(v196(constB159) <=> (~((~v159(constB159)) | (~v194(constB159)))))) | (~v196(constB159)) | (~((~v159(constB159)) | (~v194(constB159))))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34164,plain,
% 7.65/5.84 (~v196(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34163, 34162, 34125])).
% 7.65/5.84 tff(34165,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB159) <=> (~((~v157(constB159)) | (~v194(constB159)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB159) <=> (~((~v157(constB159)) | (~v194(constB159))))))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34166,plain,
% 7.65/5.84 ((v193(constB159) <=> (~((~v194(constB159)) | (~v157(constB159))))) <=> (v193(constB159) <=> (~((~v157(constB159)) | (~v194(constB159)))))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34167,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB159) <=> (~((~v194(constB159)) | (~v157(constB159)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB159) <=> (~((~v157(constB159)) | (~v194(constB159))))))),
% 7.65/5.84 inference(monotonicity,[status(thm)],[34166])).
% 7.65/5.84 tff(34168,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB159) <=> (~((~v194(constB159)) | (~v157(constB159)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB159) <=> (~((~v157(constB159)) | (~v194(constB159))))))),
% 7.65/5.84 inference(transitivity,[status(thm)],[34167, 34165])).
% 7.65/5.84 tff(34169,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB159) <=> (~((~v194(constB159)) | (~v157(constB159)))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34170,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB159) <=> (~((~v157(constB159)) | (~v194(constB159)))))),
% 7.65/5.84 inference(modus_ponens,[status(thm)],[34169, 34168])).
% 7.65/5.84 tff(34171,plain,
% 7.65/5.84 (v193(constB159) <=> (~((~v157(constB159)) | (~v194(constB159))))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34170, 15442])).
% 7.65/5.84 tff(34172,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB159)) <=> v195(constB159))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34173,plain,
% 7.65/5.84 ((~v194(constB159)) <=> v195(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34172, 15527])).
% 7.65/5.84 tff(34174,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB159) <=> (v185(constB159) | v26(constB159)))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34175,plain,
% 7.65/5.84 (v195(constB159) <=> (v185(constB159) | v26(constB159))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34174, 15536])).
% 7.65/5.84 tff(34176,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB159) <=> (~((~v39(constB159)) | (~v9(constB159)))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34177,plain,
% 7.65/5.84 (v185(constB159) <=> (~((~v39(constB159)) | (~v9(constB159))))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34176, 93])).
% 7.65/5.84 tff(34178,plain,
% 7.65/5.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159)))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34179,plain,
% 7.65/5.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159)))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34180,plain,
% 7.65/5.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159))),
% 7.65/5.84 inference(modus_ponens,[status(thm)],[34179, 34178])).
% 7.65/5.84 tff(34181,plain,
% 7.65/5.84 (v13(constB160) <=> v9(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34180, 17598, 15550])).
% 7.65/5.84 tff(34182,plain,
% 7.65/5.84 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB160) <=> v13(constB160))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34183,plain,
% 7.65/5.84 (v6(constB160) <=> v13(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34182, 15564])).
% 7.65/5.84 tff(34184,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB160)) <=> v6(constB160))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34185,plain,
% 7.65/5.84 ((~v21(constB160)) <=> v6(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34184, 15573])).
% 7.65/5.84 tff(34186,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB160) <=> (v20(constB160) | v21(constB160)))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34187,plain,
% 7.65/5.84 (v19(constB160) <=> (v20(constB160) | v21(constB160))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34186, 15582])).
% 7.65/5.84 tff(34188,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160)))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34189,plain,
% 7.65/5.84 (v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160))))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34188, 15594])).
% 7.65/5.84 tff(34190,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB160)) <=> v18(constB160))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34191,plain,
% 7.65/5.84 ((~v4(constB160)) <=> v18(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34190, 15603])).
% 7.65/5.84 tff(34192,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB160)),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34193,plain,
% 7.65/5.84 (v4(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34192, 15612])).
% 7.65/5.84 tff(34194,plain,
% 7.65/5.84 ((~((~v4(constB160)) <=> v18(constB160))) | (~v4(constB160)) | (~v18(constB160))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34195,plain,
% 7.65/5.84 (~v18(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34194, 34193, 34191])).
% 7.65/5.84 tff(34196,plain,
% 7.65/5.84 ((~(v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160)))))) | v18(constB160) | ((~v19(constB160)) | (~v22(constB160)))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34197,plain,
% 7.65/5.84 ((~v19(constB160)) | (~v22(constB160))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34196, 34195, 34189])).
% 7.65/5.84 tff(34198,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB160) <=> (v1(constB160) | v6(constB160)))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34199,plain,
% 7.65/5.84 (v22(constB160) <=> (v1(constB160) | v6(constB160))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34198, 15625])).
% 7.65/5.84 tff(34200,plain,
% 7.65/5.84 ((v1(constB160) | v6(constB160)) | (~v1(constB160))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34201,plain,
% 7.65/5.84 (v1(constB160) | v6(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34200, 21027])).
% 7.65/5.84 tff(34202,plain,
% 7.65/5.84 ((~(v22(constB160) <=> (v1(constB160) | v6(constB160)))) | v22(constB160) | (~(v1(constB160) | v6(constB160)))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34203,plain,
% 7.65/5.84 ((~(v22(constB160) <=> (v1(constB160) | v6(constB160)))) | v22(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34202, 34201])).
% 7.65/5.84 tff(34204,plain,
% 7.65/5.84 (v22(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34203, 34199])).
% 7.65/5.84 tff(34205,plain,
% 7.65/5.84 ((~((~v19(constB160)) | (~v22(constB160)))) | (~v19(constB160)) | (~v22(constB160))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34206,plain,
% 7.65/5.84 ((~((~v19(constB160)) | (~v22(constB160)))) | (~v19(constB160))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34205, 34204])).
% 7.65/5.84 tff(34207,plain,
% 7.65/5.84 (~v19(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34206, 34197])).
% 7.65/5.84 tff(34208,plain,
% 7.65/5.84 ((~(v19(constB160) <=> (v20(constB160) | v21(constB160)))) | v19(constB160) | (~(v20(constB160) | v21(constB160)))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34209,plain,
% 7.65/5.84 (~(v20(constB160) | v21(constB160))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34208, 34207, 34187])).
% 7.65/5.84 tff(34210,plain,
% 7.65/5.84 ((v20(constB160) | v21(constB160)) | (~v21(constB160))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34211,plain,
% 7.65/5.84 (~v21(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34210, 34209])).
% 7.65/5.84 tff(34212,plain,
% 7.65/5.84 ((~((~v21(constB160)) <=> v6(constB160))) | v21(constB160) | v6(constB160)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34213,plain,
% 7.65/5.84 (v6(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34212, 34211, 34185])).
% 7.65/5.84 tff(34214,plain,
% 7.65/5.84 ((~(v6(constB160) <=> v13(constB160))) | (~v6(constB160)) | v13(constB160)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34215,plain,
% 7.65/5.84 (v13(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34214, 34213, 34183])).
% 7.65/5.84 tff(34216,plain,
% 7.65/5.84 ((~(v13(constB160) <=> v9(constB159))) | (~v13(constB160)) | v9(constB159)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34217,plain,
% 7.65/5.84 (v9(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34216, 34215, 34181])).
% 7.65/5.84 tff(34218,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB159)) <=> v1(constB159))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34219,plain,
% 7.65/5.84 ((~v39(constB159)) <=> v1(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34218, 102])).
% 7.65/5.84 tff(34220,plain,
% 7.65/5.84 ((~((~v39(constB159)) <=> v1(constB159))) | v39(constB159) | v1(constB159)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34221,plain,
% 7.65/5.84 ((~((~v39(constB159)) <=> v1(constB159))) | v39(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34220, 17642])).
% 7.65/5.84 tff(34222,plain,
% 7.65/5.84 (v39(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34221, 34219])).
% 7.65/5.84 tff(34223,plain,
% 7.65/5.84 ((~((~v39(constB159)) | (~v9(constB159)))) | (~v39(constB159)) | (~v9(constB159))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34224,plain,
% 7.65/5.84 ((~((~v39(constB159)) | (~v9(constB159)))) | (~v9(constB159))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34223, 34222])).
% 7.65/5.84 tff(34225,plain,
% 7.65/5.84 (~((~v39(constB159)) | (~v9(constB159)))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34224, 34217])).
% 7.65/5.84 tff(34226,plain,
% 7.65/5.84 ((~(v185(constB159) <=> (~((~v39(constB159)) | (~v9(constB159)))))) | v185(constB159) | ((~v39(constB159)) | (~v9(constB159)))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34227,plain,
% 7.65/5.84 (v185(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34226, 34225, 34177])).
% 7.65/5.84 tff(34228,plain,
% 7.65/5.84 ((v185(constB159) | v26(constB159)) | (~v185(constB159))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34229,plain,
% 7.65/5.84 (v185(constB159) | v26(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34228, 34227])).
% 7.65/5.84 tff(34230,plain,
% 7.65/5.84 ((~(v195(constB159) <=> (v185(constB159) | v26(constB159)))) | v195(constB159) | (~(v185(constB159) | v26(constB159)))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34231,plain,
% 7.65/5.84 (v195(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34230, 34229, 34175])).
% 7.65/5.84 tff(34232,plain,
% 7.65/5.84 ((~((~v194(constB159)) <=> v195(constB159))) | (~v194(constB159)) | (~v195(constB159))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34233,plain,
% 7.65/5.84 (~v194(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34232, 34231, 34173])).
% 7.65/5.84 tff(34234,plain,
% 7.65/5.84 (((~v157(constB159)) | (~v194(constB159))) | v194(constB159)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34235,plain,
% 7.65/5.84 ((~v157(constB159)) | (~v194(constB159))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34234, 34233])).
% 7.65/5.84 tff(34236,plain,
% 7.65/5.84 ((~(v193(constB159) <=> (~((~v157(constB159)) | (~v194(constB159)))))) | (~v193(constB159)) | (~((~v157(constB159)) | (~v194(constB159))))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34237,plain,
% 7.65/5.84 (~v193(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34236, 34235, 34171])).
% 7.65/5.84 tff(34238,plain,
% 7.65/5.84 ((~(v193(constB159) | v196(constB159))) | v193(constB159) | v196(constB159)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34239,plain,
% 7.65/5.84 (~(v193(constB159) | v196(constB159))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34238, 34237, 34164])).
% 7.65/5.84 tff(34240,plain,
% 7.65/5.84 ((~(v190(constB159) <=> (v193(constB159) | v196(constB159)))) | (~v190(constB159)) | (v193(constB159) | v196(constB159))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34241,plain,
% 7.65/5.84 (~v190(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34240, 34239, 34118])).
% 7.65/5.84 tff(34242,plain,
% 7.65/5.84 ((~(v192(constB160) <=> v190(constB159))) | (~v192(constB160)) | v190(constB159)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34243,plain,
% 7.65/5.84 (~v192(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34242, 34241, 34116])).
% 7.65/5.84 tff(34244,plain,
% 7.65/5.84 ((~(v157(constB160) <=> v192(constB160))) | (~v157(constB160)) | v192(constB160)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34245,plain,
% 7.65/5.84 (~v157(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34244, 34243, 34112])).
% 7.65/5.84 tff(34246,plain,
% 7.65/5.84 (((~v157(constB160)) | (~v194(constB160))) | v157(constB160)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34247,plain,
% 7.65/5.84 ((~v157(constB160)) | (~v194(constB160))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34246, 34245])).
% 7.65/5.84 tff(34248,plain,
% 7.65/5.84 ((~(v193(constB160) <=> (~((~v157(constB160)) | (~v194(constB160)))))) | (~v193(constB160)) | (~((~v157(constB160)) | (~v194(constB160))))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34249,plain,
% 7.65/5.84 (~v193(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34248, 34247, 34110])).
% 7.65/5.84 tff(34250,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB160) <=> (~((~v159(constB160)) | (~v194(constB160)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB160) <=> (~((~v159(constB160)) | (~v194(constB160))))))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34251,plain,
% 7.65/5.84 ((v196(constB160) <=> (~((~v194(constB160)) | (~v159(constB160))))) <=> (v196(constB160) <=> (~((~v159(constB160)) | (~v194(constB160)))))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34252,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB160) <=> (~((~v194(constB160)) | (~v159(constB160)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB160) <=> (~((~v159(constB160)) | (~v194(constB160))))))),
% 7.65/5.84 inference(monotonicity,[status(thm)],[34251])).
% 7.65/5.84 tff(34253,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB160) <=> (~((~v194(constB160)) | (~v159(constB160)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB160) <=> (~((~v159(constB160)) | (~v194(constB160))))))),
% 7.65/5.84 inference(transitivity,[status(thm)],[34252, 34250])).
% 7.65/5.84 tff(34254,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB160) <=> (~((~v194(constB160)) | (~v159(constB160)))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34255,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB160) <=> (~((~v159(constB160)) | (~v194(constB160)))))),
% 7.65/5.84 inference(modus_ponens,[status(thm)],[34254, 34253])).
% 7.65/5.84 tff(34256,plain,
% 7.65/5.84 (v196(constB160) <=> (~((~v159(constB160)) | (~v194(constB160))))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34255, 15467])).
% 7.65/5.84 tff(34257,plain,
% 7.65/5.84 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB160) <=> v182(constB160))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34258,plain,
% 7.65/5.84 (v159(constB160) <=> v182(constB160)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34257, 15113])).
% 7.65/5.84 tff(34259,plain,
% 7.65/5.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB159, constB160)) | (v182(constB160) <=> v180(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB159, constB160)) | (v182(constB160) <=> v180(constB159)))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34260,plain,
% 7.65/5.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB159, constB160)) | (v182(constB160) <=> v180(constB159)))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34261,plain,
% 7.65/5.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB159, constB160)) | (v182(constB160) <=> v180(constB159))),
% 7.65/5.84 inference(modus_ponens,[status(thm)],[34260, 34259])).
% 7.65/5.84 tff(34262,plain,
% 7.65/5.84 (v182(constB160) <=> v180(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34261, 17598, 15125])).
% 7.65/5.84 tff(34263,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB159) <=> (~((~v183(constB159)) | (~v184(constB159)))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34264,plain,
% 7.65/5.84 (v180(constB159) <=> (~((~v183(constB159)) | (~v184(constB159))))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34263, 15139])).
% 7.65/5.84 tff(34265,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB159) <=> (~((~v185(constB159)) | (~v161(constB159)))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34266,plain,
% 7.65/5.84 (v184(constB159) <=> (~((~v185(constB159)) | (~v161(constB159))))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34265, 15151])).
% 7.65/5.84 tff(34267,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB159) <=> v163(constB159))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34268,plain,
% 7.65/5.84 (v161(constB159) <=> v163(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34267, 15701])).
% 7.65/5.84 tff(34269,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB159) <=> (v145(constB159) | v167(constB159)))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34270,plain,
% 7.65/5.84 (v166(constB159) <=> (v145(constB159) | v167(constB159))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34269, 15713])).
% 7.65/5.84 tff(34271,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB159) <=> (v142(constB159) | v168(constB159)))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34272,plain,
% 7.65/5.84 (v167(constB159) <=> (v142(constB159) | v168(constB159))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34271, 15725])).
% 7.65/5.84 tff(34273,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB159) <=> (v143(constB159) | v144(constB159)))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34274,plain,
% 7.65/5.84 (v142(constB159) <=> (v143(constB159) | v144(constB159))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34273, 221])).
% 7.65/5.84 tff(34275,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB159) <=> (~((~v88(constB159, 1)) | v88(constB159, 2) | v88(constB159, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB159) <=> (~((~v88(constB159, 1)) | v88(constB159, 2) | v88(constB159, 0)))))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34276,plain,
% 7.65/5.84 ((v143(constB159) <=> (~(v88(constB159, 0) | v88(constB159, 2) | (~v88(constB159, 1))))) <=> (v143(constB159) <=> (~((~v88(constB159, 1)) | v88(constB159, 2) | v88(constB159, 0))))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34277,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB159) <=> (~(v88(constB159, 0) | v88(constB159, 2) | (~v88(constB159, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB159) <=> (~((~v88(constB159, 1)) | v88(constB159, 2) | v88(constB159, 0)))))),
% 7.65/5.84 inference(monotonicity,[status(thm)],[34276])).
% 7.65/5.84 tff(34278,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB159) <=> (~(v88(constB159, 0) | v88(constB159, 2) | (~v88(constB159, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB159) <=> (~((~v88(constB159, 1)) | v88(constB159, 2) | v88(constB159, 0)))))),
% 7.65/5.84 inference(transitivity,[status(thm)],[34277, 34275])).
% 7.65/5.84 tff(34279,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB159) <=> (~(v88(constB159, 0) | v88(constB159, 2) | (~v88(constB159, 1)))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34280,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB159) <=> (~((~v88(constB159, 1)) | v88(constB159, 2) | v88(constB159, 0))))),
% 7.65/5.84 inference(modus_ponens,[status(thm)],[34279, 34278])).
% 7.65/5.84 tff(34281,plain,
% 7.65/5.84 (v143(constB159) <=> (~((~v88(constB159, 1)) | v88(constB159, 2) | v88(constB159, 0)))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34280, 236])).
% 7.65/5.84 tff(34282,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB159, 1)) <=> v90(constB159, 1)) | ((~v88(constB159, 2)) <=> v90(constB159, 2)) | ((~v88(constB159, 0)) <=> v90(constB159, 0))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34283,plain,
% 7.65/5.84 (~(((~v88(constB159, 1)) <=> v90(constB159, 1)) | ((~v88(constB159, 2)) <=> v90(constB159, 2)) | ((~v88(constB159, 0)) <=> v90(constB159, 0)))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34282, 256])).
% 7.65/5.84 tff(34284,plain,
% 7.65/5.84 ((((~v88(constB159, 1)) <=> v90(constB159, 1)) | ((~v88(constB159, 2)) <=> v90(constB159, 2)) | ((~v88(constB159, 0)) <=> v90(constB159, 0))) | (~((~v88(constB159, 2)) <=> v90(constB159, 2)))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34285,plain,
% 7.65/5.84 (~((~v88(constB159, 2)) <=> v90(constB159, 2))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34284, 34283])).
% 7.65/5.84 tff(34286,plain,
% 7.65/5.84 (((~v88(constB159, 2)) <=> v90(constB159, 2)) | (~v88(constB159, 2)) | v90(constB159, 2)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34287,plain,
% 7.65/5.84 (~v88(constB159, 2)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34286, 20949, 34285])).
% 7.65/5.84 tff(34288,plain,
% 7.65/5.84 ((((~v88(constB159, 1)) <=> v90(constB159, 1)) | ((~v88(constB159, 2)) <=> v90(constB159, 2)) | ((~v88(constB159, 0)) <=> v90(constB159, 0))) | (~((~v88(constB159, 0)) <=> v90(constB159, 0)))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34289,plain,
% 7.65/5.84 (~((~v88(constB159, 0)) <=> v90(constB159, 0))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34288, 34283])).
% 7.65/5.84 tff(34290,plain,
% 7.65/5.84 (((~v88(constB159, 0)) <=> v90(constB159, 0)) | (~v88(constB159, 0)) | v90(constB159, 0)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34291,plain,
% 7.65/5.84 (~v88(constB159, 0)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34290, 20967, 34289])).
% 7.65/5.84 tff(34292,plain,
% 7.65/5.84 ((((~v88(constB159, 1)) <=> v90(constB159, 1)) | ((~v88(constB159, 2)) <=> v90(constB159, 2)) | ((~v88(constB159, 0)) <=> v90(constB159, 0))) | (~((~v88(constB159, 1)) <=> v90(constB159, 1)))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34293,plain,
% 7.65/5.84 (~((~v88(constB159, 1)) <=> v90(constB159, 1))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34292, 34283])).
% 7.65/5.84 tff(34294,plain,
% 7.65/5.84 (((~v88(constB159, 1)) <=> v90(constB159, 1)) | v88(constB159, 1) | (~v90(constB159, 1))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34295,plain,
% 7.65/5.84 (v88(constB159, 1)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34294, 20985, 34293])).
% 7.65/5.84 tff(34296,plain,
% 7.65/5.84 ((~((~v88(constB159, 1)) | v88(constB159, 2) | v88(constB159, 0))) | (~v88(constB159, 1)) | v88(constB159, 2) | v88(constB159, 0)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34297,plain,
% 7.65/5.84 (~((~v88(constB159, 1)) | v88(constB159, 2) | v88(constB159, 0))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34296, 34295, 34291, 34287])).
% 7.65/5.84 tff(34298,plain,
% 7.65/5.84 ((~(v143(constB159) <=> (~((~v88(constB159, 1)) | v88(constB159, 2) | v88(constB159, 0))))) | v143(constB159) | ((~v88(constB159, 1)) | v88(constB159, 2) | v88(constB159, 0))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34299,plain,
% 7.65/5.84 (v143(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34298, 34297, 34281])).
% 7.65/5.84 tff(34300,plain,
% 7.65/5.84 ((v143(constB159) | v144(constB159)) | (~v143(constB159))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34301,plain,
% 7.65/5.84 (v143(constB159) | v144(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34300, 34299])).
% 7.65/5.84 tff(34302,plain,
% 7.65/5.84 ((~(v142(constB159) <=> (v143(constB159) | v144(constB159)))) | v142(constB159) | (~(v143(constB159) | v144(constB159)))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34303,plain,
% 7.65/5.84 (v142(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34302, 34301, 34274])).
% 7.65/5.84 tff(34304,plain,
% 7.65/5.84 ((v142(constB159) | v168(constB159)) | (~v142(constB159))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34305,plain,
% 7.65/5.84 (v142(constB159) | v168(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34304, 34303])).
% 7.65/5.84 tff(34306,plain,
% 7.65/5.84 ((~(v167(constB159) <=> (v142(constB159) | v168(constB159)))) | v167(constB159) | (~(v142(constB159) | v168(constB159)))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34307,plain,
% 7.65/5.84 ((~(v167(constB159) <=> (v142(constB159) | v168(constB159)))) | v167(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34306, 34305])).
% 7.65/5.84 tff(34308,plain,
% 7.65/5.84 (v167(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34307, 34272])).
% 7.65/5.84 tff(34309,plain,
% 7.65/5.84 ((v145(constB159) | v167(constB159)) | (~v167(constB159))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34310,plain,
% 7.65/5.84 (v145(constB159) | v167(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34309, 34308])).
% 7.65/5.84 tff(34311,plain,
% 7.65/5.84 ((~(v166(constB159) <=> (v145(constB159) | v167(constB159)))) | v166(constB159) | (~(v145(constB159) | v167(constB159)))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34312,plain,
% 7.65/5.84 (v166(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34311, 34310, 34270])).
% 7.65/5.84 tff(34313,plain,
% 7.65/5.84 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB159)) | (v163(constB159) <=> v170(constB159)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB159)) | (v163(constB159) <=> v170(constB159)))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34314,plain,
% 7.65/5.84 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB159)) | (v163(constB159) <=> v170(constB159)))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34315,plain,
% 7.65/5.84 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB159)) | (v163(constB159) <=> v170(constB159))),
% 7.65/5.84 inference(modus_ponens,[status(thm)],[34314, 34313])).
% 7.65/5.84 tff(34316,plain,
% 7.65/5.84 ((~v166(constB159)) | (v163(constB159) <=> v170(constB159))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34315, 15777])).
% 7.65/5.84 tff(34317,plain,
% 7.65/5.84 (v163(constB159) <=> v170(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34316, 34312])).
% 7.65/5.84 tff(34318,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB159) <=> (~(v88(constB159, 1) | v88(constB159, 2) | (~v88(constB159, 0)))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34319,plain,
% 7.65/5.84 (v140(constB159) <=> (~(v88(constB159, 1) | v88(constB159, 2) | (~v88(constB159, 0))))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34318, 15814])).
% 7.65/5.84 tff(34320,plain,
% 7.65/5.84 ((v88(constB159, 1) | v88(constB159, 2) | (~v88(constB159, 0))) | v88(constB159, 0)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34321,plain,
% 7.65/5.84 (v88(constB159, 1) | v88(constB159, 2) | (~v88(constB159, 0))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34320, 34291])).
% 7.65/5.84 tff(34322,plain,
% 7.65/5.84 ((~(v140(constB159) <=> (~(v88(constB159, 1) | v88(constB159, 2) | (~v88(constB159, 0)))))) | (~v140(constB159)) | (~(v88(constB159, 1) | v88(constB159, 2) | (~v88(constB159, 0))))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34323,plain,
% 7.65/5.84 (~v140(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34322, 34321, 34319])).
% 7.65/5.84 tff(34324,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB159) <=> (~(v88(constB159, 0) | v88(constB159, 1) | v88(constB159, 2))))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34325,plain,
% 7.65/5.84 (v139(constB159) <=> (~(v88(constB159, 0) | v88(constB159, 1) | v88(constB159, 2)))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34324, 15795])).
% 7.65/5.84 tff(34326,plain,
% 7.65/5.84 ((v88(constB159, 0) | v88(constB159, 1) | v88(constB159, 2)) | (~v88(constB159, 1))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34327,plain,
% 7.65/5.84 (v88(constB159, 0) | v88(constB159, 1) | v88(constB159, 2)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34326, 34295])).
% 7.65/5.84 tff(34328,plain,
% 7.65/5.84 ((~(v139(constB159) <=> (~(v88(constB159, 0) | v88(constB159, 1) | v88(constB159, 2))))) | (~v139(constB159)) | (~(v88(constB159, 0) | v88(constB159, 1) | v88(constB159, 2)))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34329,plain,
% 7.65/5.84 (~v139(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34328, 34327, 34325])).
% 7.65/5.84 tff(34330,plain,
% 7.65/5.84 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB159) | v139(constB159) | (~v170(constB159)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB159) | v139(constB159) | (~v170(constB159)))),
% 7.65/5.84 inference(rewrite,[status(thm)],[])).
% 7.65/5.84 tff(34331,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB159) | v139(constB159) | (~v170(constB159)))),
% 7.65/5.84 inference(quant_inst,[status(thm)],[])).
% 7.65/5.84 tff(34332,plain,
% 7.65/5.84 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB159) | v139(constB159) | (~v170(constB159))),
% 7.65/5.84 inference(modus_ponens,[status(thm)],[34331, 34330])).
% 7.65/5.84 tff(34333,plain,
% 7.65/5.84 (v140(constB159) | v139(constB159) | (~v170(constB159))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34332, 15833])).
% 7.65/5.84 tff(34334,plain,
% 7.65/5.84 (~v170(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34333, 34329, 34323])).
% 7.65/5.84 tff(34335,plain,
% 7.65/5.84 ((~(v163(constB159) <=> v170(constB159))) | (~v163(constB159)) | v170(constB159)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34336,plain,
% 7.65/5.84 ((~(v163(constB159) <=> v170(constB159))) | (~v163(constB159))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34335, 34334])).
% 7.65/5.84 tff(34337,plain,
% 7.65/5.84 (~v163(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34336, 34317])).
% 7.65/5.84 tff(34338,plain,
% 7.65/5.84 ((~(v161(constB159) <=> v163(constB159))) | (~v161(constB159)) | v163(constB159)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34339,plain,
% 7.65/5.84 ((~(v161(constB159) <=> v163(constB159))) | (~v161(constB159))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34338, 34337])).
% 7.65/5.84 tff(34340,plain,
% 7.65/5.84 (~v161(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34339, 34268])).
% 7.65/5.84 tff(34341,plain,
% 7.65/5.84 (((~v185(constB159)) | (~v161(constB159))) | v161(constB159)),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34342,plain,
% 7.65/5.84 ((~v185(constB159)) | (~v161(constB159))),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34341, 34340])).
% 7.65/5.84 tff(34343,plain,
% 7.65/5.84 ((~(v184(constB159) <=> (~((~v185(constB159)) | (~v161(constB159)))))) | (~v184(constB159)) | (~((~v185(constB159)) | (~v161(constB159))))),
% 7.65/5.84 inference(tautology,[status(thm)],[])).
% 7.65/5.84 tff(34344,plain,
% 7.65/5.84 (~v184(constB159)),
% 7.65/5.84 inference(unit_resolution,[status(thm)],[34343, 34342, 34266])).
% 7.65/5.84 tff(34345,plain,
% 7.65/5.84 (((~v183(constB159)) | (~v184(constB159))) | v184(constB159)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34346,plain,
% 7.65/5.85 ((~v183(constB159)) | (~v184(constB159))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34345, 34344])).
% 7.65/5.85 tff(34347,plain,
% 7.65/5.85 ((~(v180(constB159) <=> (~((~v183(constB159)) | (~v184(constB159)))))) | (~v180(constB159)) | (~((~v183(constB159)) | (~v184(constB159))))),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34348,plain,
% 7.65/5.85 (~v180(constB159)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34347, 34346, 34264])).
% 7.65/5.85 tff(34349,plain,
% 7.65/5.85 ((~(v182(constB160) <=> v180(constB159))) | (~v182(constB160)) | v180(constB159)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34350,plain,
% 7.65/5.85 (~v182(constB160)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34349, 34348, 34262])).
% 7.65/5.85 tff(34351,plain,
% 7.65/5.85 ((~(v159(constB160) <=> v182(constB160))) | (~v159(constB160)) | v182(constB160)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34352,plain,
% 7.65/5.85 (~v159(constB160)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34351, 34350, 34258])).
% 7.65/5.85 tff(34353,plain,
% 7.65/5.85 (((~v159(constB160)) | (~v194(constB160))) | v159(constB160)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34354,plain,
% 7.65/5.85 ((~v159(constB160)) | (~v194(constB160))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34353, 34352])).
% 7.65/5.85 tff(34355,plain,
% 7.65/5.85 ((~(v196(constB160) <=> (~((~v159(constB160)) | (~v194(constB160)))))) | (~v196(constB160)) | (~((~v159(constB160)) | (~v194(constB160))))),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34356,plain,
% 7.65/5.85 (~v196(constB160)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34355, 34354, 34256])).
% 7.65/5.85 tff(34357,plain,
% 7.65/5.85 ((~(v193(constB160) | v196(constB160))) | v193(constB160) | v196(constB160)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34358,plain,
% 7.65/5.85 (~(v193(constB160) | v196(constB160))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34357, 34356, 34249])).
% 7.65/5.85 tff(34359,plain,
% 7.65/5.85 ((~(v190(constB160) <=> (v193(constB160) | v196(constB160)))) | (~v190(constB160)) | (v193(constB160) | v196(constB160))),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34360,plain,
% 7.65/5.85 (~v190(constB160)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34359, 34358, 34103])).
% 7.65/5.85 tff(34361,plain,
% 7.65/5.85 ((~(v192(constB161) <=> v190(constB160))) | (~v192(constB161)) | v190(constB160)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34362,plain,
% 7.65/5.85 (~v192(constB161)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34361, 34360, 34101])).
% 7.65/5.85 tff(34363,plain,
% 7.65/5.85 ((~(v157(constB161) <=> v192(constB161))) | (~v157(constB161)) | v192(constB161)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34364,plain,
% 7.65/5.85 (~v157(constB161)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34363, 34362, 34097])).
% 7.65/5.85 tff(34365,plain,
% 7.65/5.85 (((~v157(constB161)) | (~v202(constB161))) | v157(constB161)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34366,plain,
% 7.65/5.85 ((~v157(constB161)) | (~v202(constB161))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34365, 34364])).
% 7.65/5.85 tff(34367,plain,
% 7.65/5.85 ((~(v201(constB161) <=> (~((~v157(constB161)) | (~v202(constB161)))))) | (~v201(constB161)) | (~((~v157(constB161)) | (~v202(constB161))))),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34368,plain,
% 7.65/5.85 (~v201(constB161)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34367, 34366, 34095])).
% 7.65/5.85 tff(34369,plain,
% 7.65/5.85 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB161) <=> (~((~v159(constB161)) | (~v202(constB161)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB161) <=> (~((~v159(constB161)) | (~v202(constB161))))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34370,plain,
% 7.65/5.85 ((v205(constB161) <=> (~((~v202(constB161)) | (~v159(constB161))))) <=> (v205(constB161) <=> (~((~v159(constB161)) | (~v202(constB161)))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34371,plain,
% 7.65/5.85 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB161) <=> (~((~v202(constB161)) | (~v159(constB161)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB161) <=> (~((~v159(constB161)) | (~v202(constB161))))))),
% 7.65/5.85 inference(monotonicity,[status(thm)],[34370])).
% 7.65/5.85 tff(34372,plain,
% 7.65/5.85 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB161) <=> (~((~v202(constB161)) | (~v159(constB161)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB161) <=> (~((~v159(constB161)) | (~v202(constB161))))))),
% 7.65/5.85 inference(transitivity,[status(thm)],[34371, 34369])).
% 7.65/5.85 tff(34373,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB161) <=> (~((~v202(constB161)) | (~v159(constB161)))))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34374,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB161) <=> (~((~v159(constB161)) | (~v202(constB161)))))),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34373, 34372])).
% 7.65/5.85 tff(34375,plain,
% 7.65/5.85 (v205(constB161) <=> (~((~v159(constB161)) | (~v202(constB161))))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34374, 138])).
% 7.65/5.85 tff(34376,plain,
% 7.65/5.85 (((~v159(constB161)) | (~v202(constB161))) | v159(constB161)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34377,plain,
% 7.65/5.85 ((~v159(constB161)) | (~v202(constB161))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34376, 29843])).
% 7.65/5.85 tff(34378,plain,
% 7.65/5.85 ((~(v205(constB161) <=> (~((~v159(constB161)) | (~v202(constB161)))))) | (~v205(constB161)) | (~((~v159(constB161)) | (~v202(constB161))))),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34379,plain,
% 7.65/5.85 (~v205(constB161)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34378, 34377, 34375])).
% 7.65/5.85 tff(34380,plain,
% 7.65/5.85 ((~(v201(constB161) | v205(constB161))) | v201(constB161) | v205(constB161)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34381,plain,
% 7.65/5.85 ((~(v201(constB161) | v205(constB161))) | v201(constB161)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34380, 34379])).
% 7.65/5.85 tff(34382,plain,
% 7.65/5.85 (~(v201(constB161) | v205(constB161))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34381, 34368])).
% 7.65/5.85 tff(34383,plain,
% 7.65/5.85 ((~(v200(constB161) <=> (v201(constB161) | v205(constB161)))) | (~v200(constB161)) | (v201(constB161) | v205(constB161))),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34384,plain,
% 7.65/5.85 (~v200(constB161)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34383, 34382, 34088])).
% 7.65/5.85 tff(34385,plain,
% 7.65/5.85 ($false),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34384, 34086])).
% 7.65/5.85 tff(34386,plain,(~(constB161 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.65/5.85 tff(34387,assumption,(constB199 = VarCurr!0), introduced(assumption)).
% 7.65/5.85 tff(34388,plain,
% 7.65/5.85 (v200(constB199) <=> v200(VarCurr!0)),
% 7.65/5.85 inference(monotonicity,[status(thm)],[34387])).
% 7.65/5.85 tff(34389,plain,
% 7.65/5.85 (v200(VarCurr!0) <=> v200(constB199)),
% 7.65/5.85 inference(symmetry,[status(thm)],[34388])).
% 7.65/5.85 tff(34390,plain,
% 7.65/5.85 (v200(constB199)),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[27, 34389])).
% 7.65/5.85 tff(34391,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB199) <=> (v201(constB199) | v205(constB199)))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34392,plain,
% 7.65/5.85 (v200(constB199) <=> (v201(constB199) | v205(constB199))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34391, 35])).
% 7.65/5.85 tff(34393,plain,
% 7.65/5.85 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB199) <=> (~((~v157(constB199)) | (~v202(constB199)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB199) <=> (~((~v157(constB199)) | (~v202(constB199))))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34394,plain,
% 7.65/5.85 ((v201(constB199) <=> (~((~v202(constB199)) | (~v157(constB199))))) <=> (v201(constB199) <=> (~((~v157(constB199)) | (~v202(constB199)))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34395,plain,
% 7.65/5.85 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB199) <=> (~((~v202(constB199)) | (~v157(constB199)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB199) <=> (~((~v157(constB199)) | (~v202(constB199))))))),
% 7.65/5.85 inference(monotonicity,[status(thm)],[34394])).
% 7.65/5.85 tff(34396,plain,
% 7.65/5.85 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB199) <=> (~((~v202(constB199)) | (~v157(constB199)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB199) <=> (~((~v157(constB199)) | (~v202(constB199))))))),
% 7.65/5.85 inference(transitivity,[status(thm)],[34395, 34393])).
% 7.65/5.85 tff(34397,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB199) <=> (~((~v202(constB199)) | (~v157(constB199)))))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34398,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB199) <=> (~((~v157(constB199)) | (~v202(constB199)))))),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34397, 34396])).
% 7.65/5.85 tff(34399,plain,
% 7.65/5.85 (v201(constB199) <=> (~((~v157(constB199)) | (~v202(constB199))))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34398, 47])).
% 7.65/5.85 tff(34400,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB199) <=> (~((~v183(constB199)) | (~v203(constB199)))))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34401,plain,
% 7.65/5.85 (v202(constB199) <=> (~((~v183(constB199)) | (~v203(constB199))))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34400, 64])).
% 7.65/5.85 tff(34402,plain,
% 7.65/5.85 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB199) <=> (~((~v185(constB199)) | (~v204(constB199)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB199) <=> (~((~v185(constB199)) | (~v204(constB199))))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34403,plain,
% 7.65/5.85 ((v203(constB199) <=> (~((~v204(constB199)) | (~v185(constB199))))) <=> (v203(constB199) <=> (~((~v185(constB199)) | (~v204(constB199)))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34404,plain,
% 7.65/5.85 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB199) <=> (~((~v204(constB199)) | (~v185(constB199)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB199) <=> (~((~v185(constB199)) | (~v204(constB199))))))),
% 7.65/5.85 inference(monotonicity,[status(thm)],[34403])).
% 7.65/5.85 tff(34405,plain,
% 7.65/5.85 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB199) <=> (~((~v204(constB199)) | (~v185(constB199)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB199) <=> (~((~v185(constB199)) | (~v204(constB199))))))),
% 7.65/5.85 inference(transitivity,[status(thm)],[34404, 34402])).
% 7.65/5.85 tff(34406,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB199) <=> (~((~v204(constB199)) | (~v185(constB199)))))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34407,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB199) <=> (~((~v185(constB199)) | (~v204(constB199)))))),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34406, 34405])).
% 7.65/5.85 tff(34408,plain,
% 7.65/5.85 (v203(constB199) <=> (~((~v185(constB199)) | (~v204(constB199))))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34407, 76])).
% 7.65/5.85 tff(34409,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))) | ((~v204(constB199)) <=> v84(constB199))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34410,plain,
% 7.65/5.85 ((~v204(constB199)) <=> v84(constB199)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34409, 185])).
% 7.65/5.85 tff(34411,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB199) <=> v86(constB199))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34412,plain,
% 7.65/5.85 (v84(constB199) <=> v86(constB199)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34411, 194])).
% 7.65/5.85 tff(34413,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB199) <=> (v136(constB199) | v145(constB199)))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34414,plain,
% 7.65/5.85 (v135(constB199) <=> (v136(constB199) | v145(constB199))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34413, 203])).
% 7.65/5.85 tff(34415,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB199) <=> (v137(constB199) | v142(constB199)))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34416,plain,
% 7.65/5.85 (v136(constB199) <=> (v137(constB199) | v142(constB199))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34415, 212])).
% 7.65/5.85 tff(34417,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB199) <=> (v143(constB199) | v144(constB199)))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34418,plain,
% 7.65/5.85 (v142(constB199) <=> (v143(constB199) | v144(constB199))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34417, 221])).
% 7.65/5.85 tff(34419,plain,
% 7.65/5.85 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB199) <=> (~((~v88(constB199, 1)) | v88(constB199, 2) | v88(constB199, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB199) <=> (~((~v88(constB199, 1)) | v88(constB199, 2) | v88(constB199, 0)))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34420,plain,
% 7.65/5.85 ((v143(constB199) <=> (~(v88(constB199, 0) | v88(constB199, 2) | (~v88(constB199, 1))))) <=> (v143(constB199) <=> (~((~v88(constB199, 1)) | v88(constB199, 2) | v88(constB199, 0))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34421,plain,
% 7.65/5.85 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB199) <=> (~(v88(constB199, 0) | v88(constB199, 2) | (~v88(constB199, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB199) <=> (~((~v88(constB199, 1)) | v88(constB199, 2) | v88(constB199, 0)))))),
% 7.65/5.85 inference(monotonicity,[status(thm)],[34420])).
% 7.65/5.85 tff(34422,plain,
% 7.65/5.85 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB199) <=> (~(v88(constB199, 0) | v88(constB199, 2) | (~v88(constB199, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB199) <=> (~((~v88(constB199, 1)) | v88(constB199, 2) | v88(constB199, 0)))))),
% 7.65/5.85 inference(transitivity,[status(thm)],[34421, 34419])).
% 7.65/5.85 tff(34423,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB199) <=> (~(v88(constB199, 0) | v88(constB199, 2) | (~v88(constB199, 1)))))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34424,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB199) <=> (~((~v88(constB199, 1)) | v88(constB199, 2) | v88(constB199, 0))))),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34423, 34422])).
% 7.65/5.85 tff(34425,plain,
% 7.65/5.85 (v143(constB199) <=> (~((~v88(constB199, 1)) | v88(constB199, 2) | v88(constB199, 0)))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34424, 236])).
% 7.65/5.85 tff(34426,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB199, 1)) <=> v90(constB199, 1)) | ((~v88(constB199, 2)) <=> v90(constB199, 2)) | ((~v88(constB199, 0)) <=> v90(constB199, 0))))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34427,plain,
% 7.65/5.85 (~(((~v88(constB199, 1)) <=> v90(constB199, 1)) | ((~v88(constB199, 2)) <=> v90(constB199, 2)) | ((~v88(constB199, 0)) <=> v90(constB199, 0)))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34426, 256])).
% 7.65/5.85 tff(34428,plain,
% 7.65/5.85 ((((~v88(constB199, 1)) <=> v90(constB199, 1)) | ((~v88(constB199, 2)) <=> v90(constB199, 2)) | ((~v88(constB199, 0)) <=> v90(constB199, 0))) | (~((~v88(constB199, 2)) <=> v90(constB199, 2)))),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34429,plain,
% 7.65/5.85 (~((~v88(constB199, 2)) <=> v90(constB199, 2))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34428, 34427])).
% 7.65/5.85 tff(34430,plain,
% 7.65/5.85 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34431,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_198')).
% 7.65/5.85 tff(34432,plain,
% 7.65/5.85 (nextState(constB198, constB199)),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34431, 34430])).
% 7.65/5.85 tff(34433,plain,
% 7.65/5.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB198, constB199)) | (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB198, constB199)) | (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199))))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34434,plain,
% 7.65/5.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB198, constB199)) | (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199))))))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34435,plain,
% 7.65/5.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB198, constB199)) | (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199)))))),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34434, 34433])).
% 7.65/5.85 tff(34436,plain,
% 7.65/5.85 (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199))))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34435, 34432, 273])).
% 7.65/5.85 tff(34437,plain,
% 7.65/5.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34438,plain,
% 7.65/5.85 (((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v102(constB199)) | (~v1(constB199)))))) <=> ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34439,plain,
% 7.65/5.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v102(constB199)) | (~v1(constB199))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199)))))))),
% 7.65/5.85 inference(monotonicity,[status(thm)],[34438])).
% 7.65/5.85 tff(34440,plain,
% 7.65/5.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v102(constB199)) | (~v1(constB199))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))))),
% 7.65/5.85 inference(transitivity,[status(thm)],[34439, 34437])).
% 7.65/5.85 tff(34441,plain,
% 7.65/5.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v102(constB199)) | (~v1(constB199))))))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34442,plain,
% 7.65/5.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199)))))),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34441, 34440])).
% 7.65/5.85 tff(34443,plain,
% 7.65/5.85 (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34442, 34432, 293])).
% 7.65/5.85 tff(34444,plain,
% 7.65/5.85 ((~v1(constB199)) <=> (~v1(constB199))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34445,axiom,(~v1(constB199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_199')).
% 7.65/5.85 tff(34446,plain,
% 7.65/5.85 (~v1(constB199)),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34445, 34444])).
% 7.65/5.85 tff(34447,plain,
% 7.65/5.85 (((~v1(constB199)) | (~v102(constB199))) | v1(constB199)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34448,plain,
% 7.65/5.85 ((~v1(constB199)) | (~v102(constB199))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34447, 34446])).
% 7.65/5.85 tff(34449,plain,
% 7.65/5.85 ((~(v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199)))))) | (~v101(constB199)) | (~((~v1(constB199)) | (~v102(constB199))))),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34450,plain,
% 7.65/5.85 ((~(v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199)))))) | (~v101(constB199))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34449, 34448])).
% 7.65/5.85 tff(34451,plain,
% 7.65/5.85 (~v101(constB199)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34450, 34443])).
% 7.65/5.85 tff(34452,plain,
% 7.65/5.85 (((~v101(constB199)) | (~v110(constB199))) | v101(constB199)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34453,plain,
% 7.65/5.85 ((~v101(constB199)) | (~v110(constB199))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34452, 34451])).
% 7.65/5.85 tff(34454,plain,
% 7.65/5.85 ((~(v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199)))))) | (~v100(constB199)) | (~((~v101(constB199)) | (~v110(constB199))))),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34455,plain,
% 7.65/5.85 (~v100(constB199)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34454, 34453, 34436])).
% 7.65/5.85 tff(34456,plain,
% 7.65/5.85 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 0)) <=> v90(constB198, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 0)) <=> v90(constB198, 0)))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34457,plain,
% 7.65/5.85 ((v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 0)) <=> v90(constB198, 0))))) <=> (v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 0)) <=> v90(constB198, 0)))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34458,plain,
% 7.65/5.85 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 0)) <=> v90(constB198, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 0)) <=> v90(constB198, 0))))))),
% 7.65/5.85 inference(monotonicity,[status(thm)],[34457])).
% 7.65/5.85 tff(34459,plain,
% 7.65/5.85 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 0)) <=> v90(constB198, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 0)) <=> v90(constB198, 0)))))),
% 7.65/5.85 inference(transitivity,[status(thm)],[34458, 34456])).
% 7.65/5.85 tff(34460,plain,
% 7.65/5.85 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 0)) <=> v90(constB198, 0)))))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34461,plain,
% 7.65/5.85 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 0)) <=> v90(constB198, 0))))),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34460, 34459])).
% 7.65/5.85 tff(34462,plain,
% 7.65/5.85 (v100(constB199) | (~(((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 0)) <=> v90(constB198, 0))))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34461, 34432, 325])).
% 7.65/5.85 tff(34463,plain,
% 7.65/5.85 (~(((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 0)) <=> v90(constB198, 0)))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34462, 34455])).
% 7.65/5.85 tff(34464,plain,
% 7.65/5.85 ((((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 0)) <=> v90(constB198, 0))) | (~((~v90(constB199, 2)) <=> v90(constB198, 2)))),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34465,plain,
% 7.65/5.85 (~((~v90(constB199, 2)) <=> v90(constB198, 2))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34464, 34463])).
% 7.65/5.85 tff(34466,plain,
% 7.65/5.85 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34467,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_197')).
% 7.65/5.85 tff(34468,plain,
% 7.65/5.85 (nextState(constB197, constB198)),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34467, 34466])).
% 7.65/5.85 tff(34469,plain,
% 7.65/5.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB197, constB198)) | (~(((~v129(constB198, 2)) <=> v127(constB197, 2)) | ((~v129(constB198, 1)) <=> v127(constB197, 1)) | ((~v129(constB198, 0)) <=> v127(constB197, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB197, constB198)) | (~(((~v129(constB198, 2)) <=> v127(constB197, 2)) | ((~v129(constB198, 1)) <=> v127(constB197, 1)) | ((~v129(constB198, 0)) <=> v127(constB197, 0)))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34470,plain,
% 7.65/5.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB197, constB198)) | (~(((~v129(constB198, 2)) <=> v127(constB197, 2)) | ((~v129(constB198, 1)) <=> v127(constB197, 1)) | ((~v129(constB198, 0)) <=> v127(constB197, 0)))))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34471,plain,
% 7.65/5.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB197, constB198)) | (~(((~v129(constB198, 2)) <=> v127(constB197, 2)) | ((~v129(constB198, 1)) <=> v127(constB197, 1)) | ((~v129(constB198, 0)) <=> v127(constB197, 0))))),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34470, 34469])).
% 7.65/5.85 tff(34472,plain,
% 7.65/5.85 (~(((~v129(constB198, 2)) <=> v127(constB197, 2)) | ((~v129(constB198, 1)) <=> v127(constB197, 1)) | ((~v129(constB198, 0)) <=> v127(constB197, 0)))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34471, 34468, 348])).
% 7.65/5.85 tff(34473,plain,
% 7.65/5.85 ((((~v129(constB198, 2)) <=> v127(constB197, 2)) | ((~v129(constB198, 1)) <=> v127(constB197, 1)) | ((~v129(constB198, 0)) <=> v127(constB197, 0))) | (~((~v129(constB198, 2)) <=> v127(constB197, 2)))),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34474,plain,
% 7.65/5.85 (~((~v129(constB198, 2)) <=> v127(constB197, 2))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34473, 34472])).
% 7.65/5.85 tff(34475,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB197) <=> v26(constB197))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34476,plain,
% 7.65/5.85 (v111(constB197) <=> v26(constB197)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34475, 367])).
% 7.65/5.85 tff(34477,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB197))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34478,plain,
% 7.65/5.85 (~v26(constB197)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34477, 379])).
% 7.65/5.85 tff(34479,plain,
% 7.65/5.85 ((~(v111(constB197) <=> v26(constB197))) | (~v111(constB197)) | v26(constB197)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34480,plain,
% 7.65/5.85 ((~(v111(constB197) <=> v26(constB197))) | (~v111(constB197))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34479, 34478])).
% 7.65/5.85 tff(34481,plain,
% 7.65/5.85 (~v111(constB197)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34480, 34476])).
% 7.65/5.85 tff(34482,plain,
% 7.65/5.85 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB197) | (~(((~v127(constB197, 2)) <=> v130(constB197, 2)) | ((~v127(constB197, 1)) <=> v130(constB197, 1)) | ((~v127(constB197, 0)) <=> v130(constB197, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB197) | (~(((~v127(constB197, 2)) <=> v130(constB197, 2)) | ((~v127(constB197, 1)) <=> v130(constB197, 1)) | ((~v127(constB197, 0)) <=> v130(constB197, 0)))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34483,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB197) | (~(((~v127(constB197, 2)) <=> v130(constB197, 2)) | ((~v127(constB197, 1)) <=> v130(constB197, 1)) | ((~v127(constB197, 0)) <=> v130(constB197, 0)))))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34484,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB197) | (~(((~v127(constB197, 2)) <=> v130(constB197, 2)) | ((~v127(constB197, 1)) <=> v130(constB197, 1)) | ((~v127(constB197, 0)) <=> v130(constB197, 0))))),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34483, 34482])).
% 7.65/5.85 tff(34485,plain,
% 7.65/5.85 (v111(constB197) | (~(((~v127(constB197, 2)) <=> v130(constB197, 2)) | ((~v127(constB197, 1)) <=> v130(constB197, 1)) | ((~v127(constB197, 0)) <=> v130(constB197, 0))))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34484, 397])).
% 7.65/5.85 tff(34486,plain,
% 7.65/5.85 (~(((~v127(constB197, 2)) <=> v130(constB197, 2)) | ((~v127(constB197, 1)) <=> v130(constB197, 1)) | ((~v127(constB197, 0)) <=> v130(constB197, 0)))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34485, 34481])).
% 7.65/5.85 tff(34487,plain,
% 7.65/5.85 ((((~v127(constB197, 2)) <=> v130(constB197, 2)) | ((~v127(constB197, 1)) <=> v130(constB197, 1)) | ((~v127(constB197, 0)) <=> v130(constB197, 0))) | (~((~v127(constB197, 2)) <=> v130(constB197, 2)))),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34488,plain,
% 7.65/5.85 (~((~v127(constB197, 2)) <=> v130(constB197, 2))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34487, 34486])).
% 7.65/5.85 tff(34489,plain,
% 7.65/5.85 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB197) <=> (~(v90(constB197, 1) | v90(constB197, 2) | (~v90(constB197, 0)))))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34490,plain,
% 7.65/5.85 (v120(constB197) <=> (~(v90(constB197, 1) | v90(constB197, 2) | (~v90(constB197, 0))))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34489, 417])).
% 7.65/5.85 tff(34491,plain,
% 7.65/5.85 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34492,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_196')).
% 7.65/5.85 tff(34493,plain,
% 7.65/5.85 (nextState(constB196, constB197)),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34492, 34491])).
% 7.65/5.85 tff(34494,plain,
% 7.65/5.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34495,plain,
% 7.65/5.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34496,plain,
% 7.65/5.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197)))))),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34495, 34494])).
% 7.65/5.85 tff(34497,plain,
% 7.65/5.85 (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34496, 34493, 273])).
% 7.65/5.85 tff(34498,plain,
% 7.65/5.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34499,plain,
% 7.65/5.85 (((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197)))))) <=> ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34500,plain,
% 7.65/5.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))))),
% 7.65/5.85 inference(monotonicity,[status(thm)],[34499])).
% 7.65/5.85 tff(34501,plain,
% 7.65/5.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))),
% 7.65/5.85 inference(transitivity,[status(thm)],[34500, 34498])).
% 7.65/5.85 tff(34502,plain,
% 7.65/5.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197))))))),
% 7.65/5.85 inference(quant_inst,[status(thm)],[])).
% 7.65/5.85 tff(34503,plain,
% 7.65/5.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34502, 34501])).
% 7.65/5.85 tff(34504,plain,
% 7.65/5.85 (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34503, 34493, 293])).
% 7.65/5.85 tff(34505,plain,
% 7.65/5.85 ((~v1(constB197)) <=> (~v1(constB197))),
% 7.65/5.85 inference(rewrite,[status(thm)],[])).
% 7.65/5.85 tff(34506,axiom,(~v1(constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_197')).
% 7.65/5.85 tff(34507,plain,
% 7.65/5.85 (~v1(constB197)),
% 7.65/5.85 inference(modus_ponens,[status(thm)],[34506, 34505])).
% 7.65/5.85 tff(34508,plain,
% 7.65/5.85 (((~v1(constB197)) | (~v102(constB197))) | v1(constB197)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34509,plain,
% 7.65/5.85 ((~v1(constB197)) | (~v102(constB197))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34508, 34507])).
% 7.65/5.85 tff(34510,plain,
% 7.65/5.85 ((~(v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))) | (~v101(constB197)) | (~((~v1(constB197)) | (~v102(constB197))))),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34511,plain,
% 7.65/5.85 ((~(v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))) | (~v101(constB197))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34510, 34509])).
% 7.65/5.85 tff(34512,plain,
% 7.65/5.85 (~v101(constB197)),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34511, 34504])).
% 7.65/5.85 tff(34513,plain,
% 7.65/5.85 (((~v101(constB197)) | (~v110(constB197))) | v101(constB197)),
% 7.65/5.85 inference(tautology,[status(thm)],[])).
% 7.65/5.85 tff(34514,plain,
% 7.65/5.85 ((~v101(constB197)) | (~v110(constB197))),
% 7.65/5.85 inference(unit_resolution,[status(thm)],[34513, 34512])).
% 7.65/5.86 tff(34515,plain,
% 7.65/5.86 ((~(v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197)))))) | (~v100(constB197)) | (~((~v101(constB197)) | (~v110(constB197))))),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34516,plain,
% 7.65/5.86 (~v100(constB197)),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34515, 34514, 34497])).
% 7.65/5.86 tff(34517,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 0)) <=> v90(constB196, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 0)) <=> v90(constB196, 0)))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34518,plain,
% 7.65/5.86 ((v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 0)) <=> v90(constB196, 0))))) <=> (v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 0)) <=> v90(constB196, 0)))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34519,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 0)) <=> v90(constB196, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 0)) <=> v90(constB196, 0))))))),
% 7.65/5.86 inference(monotonicity,[status(thm)],[34518])).
% 7.65/5.86 tff(34520,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 0)) <=> v90(constB196, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 0)) <=> v90(constB196, 0)))))),
% 7.65/5.86 inference(transitivity,[status(thm)],[34519, 34517])).
% 7.65/5.86 tff(34521,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 0)) <=> v90(constB196, 0)))))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34522,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 0)) <=> v90(constB196, 0))))),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34521, 34520])).
% 7.65/5.86 tff(34523,plain,
% 7.65/5.86 (v100(constB197) | (~(((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 0)) <=> v90(constB196, 0))))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34522, 34493, 325])).
% 7.65/5.86 tff(34524,plain,
% 7.65/5.86 (~(((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 0)) <=> v90(constB196, 0)))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34523, 34516])).
% 7.65/5.86 tff(34525,plain,
% 7.65/5.86 ((((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 0)) <=> v90(constB196, 0))) | (~((~v90(constB197, 2)) <=> v90(constB196, 2)))),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34526,plain,
% 7.65/5.86 (~((~v90(constB197, 2)) <=> v90(constB196, 2))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34525, 34524])).
% 7.65/5.86 tff(34527,plain,
% 7.65/5.86 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34528,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_195')).
% 7.65/5.86 tff(34529,plain,
% 7.65/5.86 (nextState(constB195, constB196)),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34528, 34527])).
% 7.65/5.86 tff(34530,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB195, constB196)) | (~(((~v129(constB196, 2)) <=> v127(constB195, 2)) | ((~v129(constB196, 1)) <=> v127(constB195, 1)) | ((~v129(constB196, 0)) <=> v127(constB195, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB195, constB196)) | (~(((~v129(constB196, 2)) <=> v127(constB195, 2)) | ((~v129(constB196, 1)) <=> v127(constB195, 1)) | ((~v129(constB196, 0)) <=> v127(constB195, 0)))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34531,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB195, constB196)) | (~(((~v129(constB196, 2)) <=> v127(constB195, 2)) | ((~v129(constB196, 1)) <=> v127(constB195, 1)) | ((~v129(constB196, 0)) <=> v127(constB195, 0)))))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34532,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB195, constB196)) | (~(((~v129(constB196, 2)) <=> v127(constB195, 2)) | ((~v129(constB196, 1)) <=> v127(constB195, 1)) | ((~v129(constB196, 0)) <=> v127(constB195, 0))))),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34531, 34530])).
% 7.65/5.86 tff(34533,plain,
% 7.65/5.86 (~(((~v129(constB196, 2)) <=> v127(constB195, 2)) | ((~v129(constB196, 1)) <=> v127(constB195, 1)) | ((~v129(constB196, 0)) <=> v127(constB195, 0)))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34532, 34529, 348])).
% 7.65/5.86 tff(34534,plain,
% 7.65/5.86 ((((~v129(constB196, 2)) <=> v127(constB195, 2)) | ((~v129(constB196, 1)) <=> v127(constB195, 1)) | ((~v129(constB196, 0)) <=> v127(constB195, 0))) | (~((~v129(constB196, 2)) <=> v127(constB195, 2)))),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34535,plain,
% 7.65/5.86 (~((~v129(constB196, 2)) <=> v127(constB195, 2))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34534, 34533])).
% 7.65/5.86 tff(34536,plain,
% 7.65/5.86 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB195) <=> v26(constB195))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34537,plain,
% 7.65/5.86 (v111(constB195) <=> v26(constB195)),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34536, 367])).
% 7.65/5.86 tff(34538,plain,
% 7.65/5.86 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB195))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34539,plain,
% 7.65/5.86 (~v26(constB195)),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34538, 379])).
% 7.65/5.86 tff(34540,plain,
% 7.65/5.86 ((~(v111(constB195) <=> v26(constB195))) | (~v111(constB195)) | v26(constB195)),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34541,plain,
% 7.65/5.86 ((~(v111(constB195) <=> v26(constB195))) | (~v111(constB195))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34540, 34539])).
% 7.65/5.86 tff(34542,plain,
% 7.65/5.86 (~v111(constB195)),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34541, 34537])).
% 7.65/5.86 tff(34543,plain,
% 7.65/5.86 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB195) | (~(((~v127(constB195, 2)) <=> v130(constB195, 2)) | ((~v127(constB195, 1)) <=> v130(constB195, 1)) | ((~v127(constB195, 0)) <=> v130(constB195, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB195) | (~(((~v127(constB195, 2)) <=> v130(constB195, 2)) | ((~v127(constB195, 1)) <=> v130(constB195, 1)) | ((~v127(constB195, 0)) <=> v130(constB195, 0)))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34544,plain,
% 7.65/5.86 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB195) | (~(((~v127(constB195, 2)) <=> v130(constB195, 2)) | ((~v127(constB195, 1)) <=> v130(constB195, 1)) | ((~v127(constB195, 0)) <=> v130(constB195, 0)))))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34545,plain,
% 7.65/5.86 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB195) | (~(((~v127(constB195, 2)) <=> v130(constB195, 2)) | ((~v127(constB195, 1)) <=> v130(constB195, 1)) | ((~v127(constB195, 0)) <=> v130(constB195, 0))))),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34544, 34543])).
% 7.65/5.86 tff(34546,plain,
% 7.65/5.86 (v111(constB195) | (~(((~v127(constB195, 2)) <=> v130(constB195, 2)) | ((~v127(constB195, 1)) <=> v130(constB195, 1)) | ((~v127(constB195, 0)) <=> v130(constB195, 0))))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34545, 397])).
% 7.65/5.86 tff(34547,plain,
% 7.65/5.86 (~(((~v127(constB195, 2)) <=> v130(constB195, 2)) | ((~v127(constB195, 1)) <=> v130(constB195, 1)) | ((~v127(constB195, 0)) <=> v130(constB195, 0)))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34546, 34542])).
% 7.65/5.86 tff(34548,plain,
% 7.65/5.86 ((((~v127(constB195, 2)) <=> v130(constB195, 2)) | ((~v127(constB195, 1)) <=> v130(constB195, 1)) | ((~v127(constB195, 0)) <=> v130(constB195, 0))) | (~((~v127(constB195, 2)) <=> v130(constB195, 2)))),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34549,plain,
% 7.65/5.86 (~((~v127(constB195, 2)) <=> v130(constB195, 2))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34548, 34547])).
% 7.65/5.86 tff(34550,plain,
% 7.65/5.86 ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB195) <=> (~(v90(constB195, 1) | v90(constB195, 2) | (~v90(constB195, 0)))))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34551,plain,
% 7.65/5.86 (v120(constB195) <=> (~(v90(constB195, 1) | v90(constB195, 2) | (~v90(constB195, 0))))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34550, 417])).
% 7.65/5.86 tff(34552,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34553,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34554,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195)))))),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34553, 34552])).
% 7.65/5.86 tff(34555,plain,
% 7.65/5.86 (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34554, 32836, 273])).
% 7.65/5.86 tff(34556,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34557,plain,
% 7.65/5.86 (((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195)))))) <=> ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34558,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))))),
% 7.65/5.86 inference(monotonicity,[status(thm)],[34557])).
% 7.65/5.86 tff(34559,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))),
% 7.65/5.86 inference(transitivity,[status(thm)],[34558, 34556])).
% 7.65/5.86 tff(34560,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195))))))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34561,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34560, 34559])).
% 7.65/5.86 tff(34562,plain,
% 7.65/5.86 (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34561, 32836, 293])).
% 7.65/5.86 tff(34563,plain,
% 7.65/5.86 ((~v1(constB195)) <=> (~v1(constB195))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34564,axiom,(~v1(constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_195')).
% 7.65/5.86 tff(34565,plain,
% 7.65/5.86 (~v1(constB195)),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34564, 34563])).
% 7.65/5.86 tff(34566,plain,
% 7.65/5.86 (((~v1(constB195)) | (~v102(constB195))) | v1(constB195)),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34567,plain,
% 7.65/5.86 ((~v1(constB195)) | (~v102(constB195))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34566, 34565])).
% 7.65/5.86 tff(34568,plain,
% 7.65/5.86 ((~(v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))) | (~v101(constB195)) | (~((~v1(constB195)) | (~v102(constB195))))),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34569,plain,
% 7.65/5.86 ((~(v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))) | (~v101(constB195))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34568, 34567])).
% 7.65/5.86 tff(34570,plain,
% 7.65/5.86 (~v101(constB195)),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34569, 34562])).
% 7.65/5.86 tff(34571,plain,
% 7.65/5.86 (((~v101(constB195)) | (~v110(constB195))) | v101(constB195)),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34572,plain,
% 7.65/5.86 ((~v101(constB195)) | (~v110(constB195))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34571, 34570])).
% 7.65/5.86 tff(34573,plain,
% 7.65/5.86 ((~(v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195)))))) | (~v100(constB195)) | (~((~v101(constB195)) | (~v110(constB195))))),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34574,plain,
% 7.65/5.86 (~v100(constB195)),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34573, 34572, 34555])).
% 7.65/5.86 tff(34575,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 0)) <=> v90(constB194, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 0)) <=> v90(constB194, 0)))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34576,plain,
% 7.65/5.86 ((v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 0)) <=> v90(constB194, 0))))) <=> (v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 0)) <=> v90(constB194, 0)))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34577,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 0)) <=> v90(constB194, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 0)) <=> v90(constB194, 0))))))),
% 7.65/5.86 inference(monotonicity,[status(thm)],[34576])).
% 7.65/5.86 tff(34578,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 0)) <=> v90(constB194, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 0)) <=> v90(constB194, 0)))))),
% 7.65/5.86 inference(transitivity,[status(thm)],[34577, 34575])).
% 7.65/5.86 tff(34579,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 0)) <=> v90(constB194, 0)))))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34580,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 0)) <=> v90(constB194, 0))))),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34579, 34578])).
% 7.65/5.86 tff(34581,plain,
% 7.65/5.86 (v100(constB195) | (~(((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 0)) <=> v90(constB194, 0))))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34580, 32836, 325])).
% 7.65/5.86 tff(34582,plain,
% 7.65/5.86 (~(((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 0)) <=> v90(constB194, 0)))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34581, 34574])).
% 7.65/5.86 tff(34583,plain,
% 7.65/5.86 ((((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 0)) <=> v90(constB194, 0))) | (~((~v90(constB195, 0)) <=> v90(constB194, 0)))),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34584,plain,
% 7.65/5.86 (~((~v90(constB195, 0)) <=> v90(constB194, 0))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34583, 34582])).
% 7.65/5.86 tff(34585,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB193, constB194)) | (~(((~v129(constB194, 2)) <=> v127(constB193, 2)) | ((~v129(constB194, 1)) <=> v127(constB193, 1)) | ((~v129(constB194, 0)) <=> v127(constB193, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB193, constB194)) | (~(((~v129(constB194, 2)) <=> v127(constB193, 2)) | ((~v129(constB194, 1)) <=> v127(constB193, 1)) | ((~v129(constB194, 0)) <=> v127(constB193, 0)))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34586,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB193, constB194)) | (~(((~v129(constB194, 2)) <=> v127(constB193, 2)) | ((~v129(constB194, 1)) <=> v127(constB193, 1)) | ((~v129(constB194, 0)) <=> v127(constB193, 0)))))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34587,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB193, constB194)) | (~(((~v129(constB194, 2)) <=> v127(constB193, 2)) | ((~v129(constB194, 1)) <=> v127(constB193, 1)) | ((~v129(constB194, 0)) <=> v127(constB193, 0))))),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34586, 34585])).
% 7.65/5.86 tff(34588,plain,
% 7.65/5.86 (~(((~v129(constB194, 2)) <=> v127(constB193, 2)) | ((~v129(constB194, 1)) <=> v127(constB193, 1)) | ((~v129(constB194, 0)) <=> v127(constB193, 0)))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34587, 32854, 348])).
% 7.65/5.86 tff(34589,plain,
% 7.65/5.86 ((((~v129(constB194, 2)) <=> v127(constB193, 2)) | ((~v129(constB194, 1)) <=> v127(constB193, 1)) | ((~v129(constB194, 0)) <=> v127(constB193, 0))) | (~((~v129(constB194, 0)) <=> v127(constB193, 0)))),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34590,plain,
% 7.65/5.86 (~((~v129(constB194, 0)) <=> v127(constB193, 0))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34589, 34588])).
% 7.65/5.86 tff(34591,plain,
% 7.65/5.86 ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB193) <=> v26(constB193))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34592,plain,
% 7.65/5.86 (v111(constB193) <=> v26(constB193)),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34591, 367])).
% 7.65/5.86 tff(34593,plain,
% 7.65/5.86 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB193))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34594,plain,
% 7.65/5.86 (~v26(constB193)),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34593, 379])).
% 7.65/5.86 tff(34595,plain,
% 7.65/5.86 ((~(v111(constB193) <=> v26(constB193))) | (~v111(constB193)) | v26(constB193)),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34596,plain,
% 7.65/5.86 ((~(v111(constB193) <=> v26(constB193))) | (~v111(constB193))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34595, 34594])).
% 7.65/5.86 tff(34597,plain,
% 7.65/5.86 (~v111(constB193)),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34596, 34592])).
% 7.65/5.86 tff(34598,plain,
% 7.65/5.86 (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB193) | (~(((~v127(constB193, 2)) <=> v130(constB193, 2)) | ((~v127(constB193, 1)) <=> v130(constB193, 1)) | ((~v127(constB193, 0)) <=> v130(constB193, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB193) | (~(((~v127(constB193, 2)) <=> v130(constB193, 2)) | ((~v127(constB193, 1)) <=> v130(constB193, 1)) | ((~v127(constB193, 0)) <=> v130(constB193, 0)))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34599,plain,
% 7.65/5.86 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB193) | (~(((~v127(constB193, 2)) <=> v130(constB193, 2)) | ((~v127(constB193, 1)) <=> v130(constB193, 1)) | ((~v127(constB193, 0)) <=> v130(constB193, 0)))))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34600,plain,
% 7.65/5.86 ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB193) | (~(((~v127(constB193, 2)) <=> v130(constB193, 2)) | ((~v127(constB193, 1)) <=> v130(constB193, 1)) | ((~v127(constB193, 0)) <=> v130(constB193, 0))))),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34599, 34598])).
% 7.65/5.86 tff(34601,plain,
% 7.65/5.86 (v111(constB193) | (~(((~v127(constB193, 2)) <=> v130(constB193, 2)) | ((~v127(constB193, 1)) <=> v130(constB193, 1)) | ((~v127(constB193, 0)) <=> v130(constB193, 0))))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34600, 397])).
% 7.65/5.86 tff(34602,plain,
% 7.65/5.86 (~(((~v127(constB193, 2)) <=> v130(constB193, 2)) | ((~v127(constB193, 1)) <=> v130(constB193, 1)) | ((~v127(constB193, 0)) <=> v130(constB193, 0)))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34601, 34597])).
% 7.65/5.86 tff(34603,plain,
% 7.65/5.86 ((((~v127(constB193, 2)) <=> v130(constB193, 2)) | ((~v127(constB193, 1)) <=> v130(constB193, 1)) | ((~v127(constB193, 0)) <=> v130(constB193, 0))) | (~((~v127(constB193, 0)) <=> v130(constB193, 0)))),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34604,plain,
% 7.65/5.86 (~((~v127(constB193, 0)) <=> v130(constB193, 0))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34603, 34602])).
% 7.65/5.86 tff(34605,plain,
% 7.65/5.86 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB193) <=> (~(v90(constB193, 1) | v90(constB193, 0) | (~v90(constB193, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB193) <=> (~(v90(constB193, 1) | v90(constB193, 0) | (~v90(constB193, 2))))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34606,plain,
% 7.65/5.86 ((v123(constB193) <=> (~(v90(constB193, 0) | v90(constB193, 1) | (~v90(constB193, 2))))) <=> (v123(constB193) <=> (~(v90(constB193, 1) | v90(constB193, 0) | (~v90(constB193, 2)))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34607,plain,
% 7.65/5.86 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB193) <=> (~(v90(constB193, 0) | v90(constB193, 1) | (~v90(constB193, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB193) <=> (~(v90(constB193, 1) | v90(constB193, 0) | (~v90(constB193, 2))))))),
% 7.65/5.86 inference(monotonicity,[status(thm)],[34606])).
% 7.65/5.86 tff(34608,plain,
% 7.65/5.86 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB193) <=> (~(v90(constB193, 0) | v90(constB193, 1) | (~v90(constB193, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB193) <=> (~(v90(constB193, 1) | v90(constB193, 0) | (~v90(constB193, 2))))))),
% 7.65/5.86 inference(transitivity,[status(thm)],[34607, 34605])).
% 7.65/5.86 tff(34609,plain,
% 7.65/5.86 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB193) <=> (~(v90(constB193, 0) | v90(constB193, 1) | (~v90(constB193, 2)))))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34610,plain,
% 7.65/5.86 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB193) <=> (~(v90(constB193, 1) | v90(constB193, 0) | (~v90(constB193, 2)))))),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34609, 34608])).
% 7.65/5.86 tff(34611,plain,
% 7.65/5.86 (v123(constB193) <=> (~(v90(constB193, 1) | v90(constB193, 0) | (~v90(constB193, 2))))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34610, 565])).
% 7.65/5.86 tff(34612,plain,
% 7.65/5.86 ((~(v90(constB193, 1) | v90(constB193, 0) | (~v90(constB193, 2)))) | v90(constB193, 1) | v90(constB193, 0) | (~v90(constB193, 2))),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34613,plain,
% 7.65/5.86 (~(v90(constB193, 1) | v90(constB193, 0) | (~v90(constB193, 2)))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34612, 33460, 33438, 33416])).
% 7.65/5.86 tff(34614,plain,
% 7.65/5.86 ((~(v123(constB193) <=> (~(v90(constB193, 1) | v90(constB193, 0) | (~v90(constB193, 2)))))) | v123(constB193) | (v90(constB193, 1) | v90(constB193, 0) | (~v90(constB193, 2)))),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34615,plain,
% 7.65/5.86 (v123(constB193)),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34614, 34613, 34611])).
% 7.65/5.86 tff(34616,plain,
% 7.65/5.86 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB193)) | (~(v130(constB193, 0) | (~v130(constB193, 2)) | (~v130(constB193, 1)))))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB193)) | (~(v130(constB193, 0) | (~v130(constB193, 2)) | (~v130(constB193, 1)))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34617,plain,
% 7.65/5.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | ((~v123(constB193)) | (~(v130(constB193, 0) | (~v130(constB193, 2)) | (~v130(constB193, 1)))))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34618,plain,
% 7.65/5.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~(v130(VarCurr, 0) | (~v130(VarCurr, 2)) | (~v130(VarCurr, 1)))))) | (~v123(constB193)) | (~(v130(constB193, 0) | (~v130(constB193, 2)) | (~v130(constB193, 1))))),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34617, 34616])).
% 7.65/5.86 tff(34619,plain,
% 7.65/5.86 ((~v123(constB193)) | (~(v130(constB193, 0) | (~v130(constB193, 2)) | (~v130(constB193, 1))))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34618, 4861])).
% 7.65/5.86 tff(34620,plain,
% 7.65/5.86 (~(v130(constB193, 0) | (~v130(constB193, 2)) | (~v130(constB193, 1)))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34619, 34615])).
% 7.65/5.86 tff(34621,plain,
% 7.65/5.86 ((v130(constB193, 0) | (~v130(constB193, 2)) | (~v130(constB193, 1))) | (~v130(constB193, 0))),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34622,plain,
% 7.65/5.86 (~v130(constB193, 0)),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34621, 34620])).
% 7.65/5.86 tff(34623,plain,
% 7.65/5.86 (((~v127(constB193, 0)) <=> v130(constB193, 0)) | (~v127(constB193, 0)) | v130(constB193, 0)),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34624,plain,
% 7.65/5.86 (~v127(constB193, 0)),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34623, 34622, 34604])).
% 7.65/5.86 tff(34625,plain,
% 7.65/5.86 (((~v129(constB194, 0)) <=> v127(constB193, 0)) | (~v129(constB194, 0)) | v127(constB193, 0)),
% 7.65/5.86 inference(tautology,[status(thm)],[])).
% 7.65/5.86 tff(34626,plain,
% 7.65/5.86 (~v129(constB194, 0)),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34625, 34624, 34590])).
% 7.65/5.86 tff(34627,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34628,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34629,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194)))))),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34628, 34627])).
% 7.65/5.86 tff(34630,plain,
% 7.65/5.86 (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34629, 32854, 273])).
% 7.65/5.86 tff(34631,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34632,plain,
% 7.65/5.86 (((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194)))))) <=> ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34633,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))))),
% 7.65/5.86 inference(monotonicity,[status(thm)],[34632])).
% 7.65/5.86 tff(34634,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))),
% 7.65/5.86 inference(transitivity,[status(thm)],[34633, 34631])).
% 7.65/5.86 tff(34635,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194))))))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34636,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34635, 34634])).
% 7.65/5.86 tff(34637,plain,
% 7.65/5.86 (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34636, 32854, 293])).
% 7.65/5.86 tff(34638,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194)))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34639,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194)))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34640,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194))),
% 7.65/5.86 inference(modus_ponens,[status(thm)],[34639, 34638])).
% 7.65/5.86 tff(34641,plain,
% 7.65/5.86 ((~v102(constB194)) <=> v104(constB194)),
% 7.65/5.86 inference(unit_resolution,[status(thm)],[34640, 32854, 4609])).
% 7.65/5.86 tff(34642,plain,
% 7.65/5.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193)))),
% 7.65/5.86 inference(rewrite,[status(thm)],[])).
% 7.65/5.86 tff(34643,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193)))),
% 7.65/5.86 inference(quant_inst,[status(thm)],[])).
% 7.65/5.86 tff(34644,plain,
% 7.65/5.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193))),
% 7.65/5.87 inference(modus_ponens,[status(thm)],[34643, 34642])).
% 7.65/5.87 tff(34645,plain,
% 7.65/5.87 (v104(constB194) <=> v1(constB193)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34644, 32854, 4623])).
% 7.65/5.87 tff(34646,plain,
% 7.65/5.87 ((~(v104(constB194) <=> v1(constB193))) | (~v104(constB194)) | v1(constB193)),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34647,plain,
% 7.65/5.87 ((~(v104(constB194) <=> v1(constB193))) | (~v104(constB194))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34646, 32970])).
% 7.65/5.87 tff(34648,plain,
% 7.65/5.87 (~v104(constB194)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34647, 34645])).
% 7.65/5.87 tff(34649,plain,
% 7.65/5.87 ((~((~v102(constB194)) <=> v104(constB194))) | v102(constB194) | v104(constB194)),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34650,plain,
% 7.65/5.87 (v102(constB194)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34649, 34648, 34641])).
% 7.65/5.87 tff(34651,plain,
% 7.65/5.87 ((~((~v1(constB194)) | (~v102(constB194)))) | (~v1(constB194)) | (~v102(constB194))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34652,plain,
% 7.65/5.87 ((~((~v1(constB194)) | (~v102(constB194)))) | (~v102(constB194))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34651, 27724])).
% 7.65/5.87 tff(34653,plain,
% 7.65/5.87 (~((~v1(constB194)) | (~v102(constB194)))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34652, 34650])).
% 7.65/5.87 tff(34654,plain,
% 7.65/5.87 ((~(v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))) | v101(constB194) | ((~v1(constB194)) | (~v102(constB194)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34655,plain,
% 7.65/5.87 (v101(constB194)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34654, 34653, 34637])).
% 7.65/5.87 tff(34656,plain,
% 7.65/5.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193)))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34657,plain,
% 7.65/5.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193)))),
% 7.65/5.87 inference(quant_inst,[status(thm)],[])).
% 7.65/5.87 tff(34658,plain,
% 7.65/5.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193))),
% 7.65/5.87 inference(modus_ponens,[status(thm)],[34657, 34656])).
% 7.65/5.87 tff(34659,plain,
% 7.65/5.87 (v110(constB194) <=> v108(constB193)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34658, 32854, 4650])).
% 7.65/5.87 tff(34660,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB193) <=> (v111(constB193) | v112(constB193)))),
% 7.65/5.87 inference(quant_inst,[status(thm)],[])).
% 7.65/5.87 tff(34661,plain,
% 7.65/5.87 (v108(constB193) <=> (v111(constB193) | v112(constB193))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34660, 4661])).
% 7.65/5.87 tff(34662,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193)))))),
% 7.65/5.87 inference(quant_inst,[status(thm)],[])).
% 7.65/5.87 tff(34663,plain,
% 7.65/5.87 (v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193))))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34662, 4673])).
% 7.65/5.87 tff(34664,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB193) <=> (v114(constB193) | v125(constB193)))),
% 7.65/5.87 inference(quant_inst,[status(thm)],[])).
% 7.65/5.87 tff(34665,plain,
% 7.65/5.87 (v113(constB193) <=> (v114(constB193) | v125(constB193))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34664, 4682])).
% 7.65/5.87 tff(34666,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB193) <=> (v115(constB193) | v124(constB193)))),
% 7.65/5.87 inference(quant_inst,[status(thm)],[])).
% 7.65/5.87 tff(34667,plain,
% 7.65/5.87 (v114(constB193) <=> (v115(constB193) | v124(constB193))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34666, 4691])).
% 7.65/5.87 tff(34668,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB193) <=> (v116(constB193) | v123(constB193)))),
% 7.65/5.87 inference(quant_inst,[status(thm)],[])).
% 7.65/5.87 tff(34669,plain,
% 7.65/5.87 (v115(constB193) <=> (v116(constB193) | v123(constB193))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34668, 4700])).
% 7.65/5.87 tff(34670,plain,
% 7.65/5.87 ((v116(constB193) | v123(constB193)) | (~v123(constB193))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34671,plain,
% 7.65/5.87 (v116(constB193) | v123(constB193)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34670, 34615])).
% 7.65/5.87 tff(34672,plain,
% 7.65/5.87 ((~(v115(constB193) <=> (v116(constB193) | v123(constB193)))) | v115(constB193) | (~(v116(constB193) | v123(constB193)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34673,plain,
% 7.65/5.87 (v115(constB193)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34672, 34671, 34669])).
% 7.65/5.87 tff(34674,plain,
% 7.65/5.87 ((v115(constB193) | v124(constB193)) | (~v115(constB193))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34675,plain,
% 7.65/5.87 (v115(constB193) | v124(constB193)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34674, 34673])).
% 7.65/5.87 tff(34676,plain,
% 7.65/5.87 ((~(v114(constB193) <=> (v115(constB193) | v124(constB193)))) | v114(constB193) | (~(v115(constB193) | v124(constB193)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34677,plain,
% 7.65/5.87 (v114(constB193)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34676, 34675, 34667])).
% 7.65/5.87 tff(34678,plain,
% 7.65/5.87 ((v114(constB193) | v125(constB193)) | (~v114(constB193))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34679,plain,
% 7.65/5.87 (v114(constB193) | v125(constB193)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34678, 34677])).
% 7.65/5.87 tff(34680,plain,
% 7.65/5.87 ((~(v113(constB193) <=> (v114(constB193) | v125(constB193)))) | v113(constB193) | (~(v114(constB193) | v125(constB193)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34681,plain,
% 7.65/5.87 (v113(constB193)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34680, 34679, 34665])).
% 7.65/5.87 tff(34682,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB193)) <=> v111(constB193))),
% 7.65/5.87 inference(quant_inst,[status(thm)],[])).
% 7.65/5.87 tff(34683,plain,
% 7.65/5.87 ((~v126(constB193)) <=> v111(constB193)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34682, 4761])).
% 7.65/5.87 tff(34684,plain,
% 7.65/5.87 ((~((~v126(constB193)) <=> v111(constB193))) | v126(constB193) | v111(constB193)),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34685,plain,
% 7.65/5.87 ((~((~v126(constB193)) <=> v111(constB193))) | v126(constB193)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34684, 34597])).
% 7.65/5.87 tff(34686,plain,
% 7.65/5.87 (v126(constB193)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34685, 34683])).
% 7.65/5.87 tff(34687,plain,
% 7.65/5.87 ((~((~v113(constB193)) | (~v126(constB193)))) | (~v113(constB193)) | (~v126(constB193))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34688,plain,
% 7.65/5.87 ((~((~v113(constB193)) | (~v126(constB193)))) | (~v113(constB193))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34687, 34686])).
% 7.65/5.87 tff(34689,plain,
% 7.65/5.87 (~((~v113(constB193)) | (~v126(constB193)))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34688, 34681])).
% 7.65/5.87 tff(34690,plain,
% 7.65/5.87 ((~(v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193)))))) | v112(constB193) | ((~v113(constB193)) | (~v126(constB193)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34691,plain,
% 7.65/5.87 (v112(constB193)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34690, 34689, 34663])).
% 7.65/5.87 tff(34692,plain,
% 7.65/5.87 ((v111(constB193) | v112(constB193)) | (~v112(constB193))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34693,plain,
% 7.65/5.87 (v111(constB193) | v112(constB193)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34692, 34691])).
% 7.65/5.87 tff(34694,plain,
% 7.65/5.87 ((~(v108(constB193) <=> (v111(constB193) | v112(constB193)))) | v108(constB193) | (~(v111(constB193) | v112(constB193)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34695,plain,
% 7.65/5.87 (v108(constB193)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34694, 34693, 34661])).
% 7.65/5.87 tff(34696,plain,
% 7.65/5.87 ((~(v110(constB194) <=> v108(constB193))) | v110(constB194) | (~v108(constB193))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34697,plain,
% 7.65/5.87 (v110(constB194)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34696, 34695, 34659])).
% 7.65/5.87 tff(34698,plain,
% 7.65/5.87 ((~((~v101(constB194)) | (~v110(constB194)))) | (~v101(constB194)) | (~v110(constB194))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34699,plain,
% 7.65/5.87 (~((~v101(constB194)) | (~v110(constB194)))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34698, 34697, 34655])).
% 7.65/5.87 tff(34700,plain,
% 7.65/5.87 ((~(v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194)))))) | v100(constB194) | ((~v101(constB194)) | (~v110(constB194)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34701,plain,
% 7.65/5.87 (v100(constB194)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34700, 34699, 34630])).
% 7.65/5.87 tff(34702,plain,
% 7.65/5.87 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB194)) | (~(((~v90(constB194, 0)) <=> v129(constB194, 0)) | ((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB194)) | (~(((~v90(constB194, 0)) <=> v129(constB194, 0)) | ((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1)))))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34703,plain,
% 7.65/5.87 (((~v100(constB194)) | (~(((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1)) | ((~v90(constB194, 0)) <=> v129(constB194, 0))))) <=> ((~v100(constB194)) | (~(((~v90(constB194, 0)) <=> v129(constB194, 0)) | ((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1)))))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34704,plain,
% 7.65/5.87 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB194)) | (~(((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1)) | ((~v90(constB194, 0)) <=> v129(constB194, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB194)) | (~(((~v90(constB194, 0)) <=> v129(constB194, 0)) | ((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1))))))),
% 7.65/5.87 inference(monotonicity,[status(thm)],[34703])).
% 7.65/5.87 tff(34705,plain,
% 7.65/5.87 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB194)) | (~(((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1)) | ((~v90(constB194, 0)) <=> v129(constB194, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB194)) | (~(((~v90(constB194, 0)) <=> v129(constB194, 0)) | ((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1)))))),
% 7.65/5.87 inference(transitivity,[status(thm)],[34704, 34702])).
% 7.65/5.87 tff(34706,plain,
% 7.65/5.87 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB194)) | (~(((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1)) | ((~v90(constB194, 0)) <=> v129(constB194, 0)))))),
% 7.65/5.87 inference(quant_inst,[status(thm)],[])).
% 7.65/5.87 tff(34707,plain,
% 7.65/5.87 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB194)) | (~(((~v90(constB194, 0)) <=> v129(constB194, 0)) | ((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1))))),
% 7.65/5.87 inference(modus_ponens,[status(thm)],[34706, 34705])).
% 7.65/5.87 tff(34708,plain,
% 7.65/5.87 ((~v100(constB194)) | (~(((~v90(constB194, 0)) <=> v129(constB194, 0)) | ((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1))))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34707, 4794])).
% 7.65/5.87 tff(34709,plain,
% 7.65/5.87 (~(((~v90(constB194, 0)) <=> v129(constB194, 0)) | ((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1)))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34708, 34701])).
% 7.65/5.87 tff(34710,plain,
% 7.65/5.87 ((((~v90(constB194, 0)) <=> v129(constB194, 0)) | ((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1))) | (~((~v90(constB194, 0)) <=> v129(constB194, 0)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34711,plain,
% 7.65/5.87 (~((~v90(constB194, 0)) <=> v129(constB194, 0))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34710, 34709])).
% 7.65/5.87 tff(34712,plain,
% 7.65/5.87 (((~v90(constB194, 0)) <=> v129(constB194, 0)) | (~v90(constB194, 0)) | v129(constB194, 0)),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34713,plain,
% 7.65/5.87 (~v90(constB194, 0)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34712, 34711, 34626])).
% 7.65/5.87 tff(34714,plain,
% 7.65/5.87 (((~v90(constB195, 0)) <=> v90(constB194, 0)) | (~v90(constB195, 0)) | v90(constB194, 0)),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34715,plain,
% 7.65/5.87 (~v90(constB195, 0)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34714, 34713, 34584])).
% 7.65/5.87 tff(34716,plain,
% 7.65/5.87 ((v90(constB195, 1) | v90(constB195, 2) | (~v90(constB195, 0))) | v90(constB195, 0)),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34717,plain,
% 7.65/5.87 (v90(constB195, 1) | v90(constB195, 2) | (~v90(constB195, 0))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34716, 34715])).
% 7.65/5.87 tff(34718,plain,
% 7.65/5.87 ((~(v120(constB195) <=> (~(v90(constB195, 1) | v90(constB195, 2) | (~v90(constB195, 0)))))) | (~v120(constB195)) | (~(v90(constB195, 1) | v90(constB195, 2) | (~v90(constB195, 0))))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34719,plain,
% 7.65/5.87 (~v120(constB195)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34718, 34717, 34551])).
% 7.65/5.87 tff(34720,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB195) <=> (~(v90(constB195, 1) | (~v90(constB195, 2)) | (~v90(constB195, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB195) <=> (~(v90(constB195, 1) | (~v90(constB195, 2)) | (~v90(constB195, 0))))))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34721,plain,
% 7.65/5.87 ((v124(constB195) <=> (~(v90(constB195, 1) | (~v90(constB195, 0)) | (~v90(constB195, 2))))) <=> (v124(constB195) <=> (~(v90(constB195, 1) | (~v90(constB195, 2)) | (~v90(constB195, 0)))))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34722,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB195) <=> (~(v90(constB195, 1) | (~v90(constB195, 0)) | (~v90(constB195, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB195) <=> (~(v90(constB195, 1) | (~v90(constB195, 2)) | (~v90(constB195, 0))))))),
% 7.65/5.87 inference(monotonicity,[status(thm)],[34721])).
% 7.65/5.87 tff(34723,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB195) <=> (~(v90(constB195, 1) | (~v90(constB195, 0)) | (~v90(constB195, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB195) <=> (~(v90(constB195, 1) | (~v90(constB195, 2)) | (~v90(constB195, 0))))))),
% 7.65/5.87 inference(transitivity,[status(thm)],[34722, 34720])).
% 7.65/5.87 tff(34724,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB195) <=> (~(v90(constB195, 1) | (~v90(constB195, 0)) | (~v90(constB195, 2)))))),
% 7.65/5.87 inference(quant_inst,[status(thm)],[])).
% 7.65/5.87 tff(34725,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB195) <=> (~(v90(constB195, 1) | (~v90(constB195, 2)) | (~v90(constB195, 0)))))),
% 7.65/5.87 inference(modus_ponens,[status(thm)],[34724, 34723])).
% 7.65/5.87 tff(34726,plain,
% 7.65/5.87 (v124(constB195) <=> (~(v90(constB195, 1) | (~v90(constB195, 2)) | (~v90(constB195, 0))))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34725, 4978])).
% 7.65/5.87 tff(34727,plain,
% 7.65/5.87 ((v90(constB195, 1) | (~v90(constB195, 2)) | (~v90(constB195, 0))) | v90(constB195, 0)),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34728,plain,
% 7.65/5.87 (v90(constB195, 1) | (~v90(constB195, 2)) | (~v90(constB195, 0))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34727, 34715])).
% 7.65/5.87 tff(34729,plain,
% 7.65/5.87 ((~(v124(constB195) <=> (~(v90(constB195, 1) | (~v90(constB195, 2)) | (~v90(constB195, 0)))))) | (~v124(constB195)) | (~(v90(constB195, 1) | (~v90(constB195, 2)) | (~v90(constB195, 0))))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34730,plain,
% 7.65/5.87 (~v124(constB195)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34729, 34728, 34726])).
% 7.65/5.87 tff(34731,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB195) <=> (~(v90(constB195, 1) | v90(constB195, 0) | (~v90(constB195, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB195) <=> (~(v90(constB195, 1) | v90(constB195, 0) | (~v90(constB195, 2))))))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34732,plain,
% 7.65/5.87 ((v123(constB195) <=> (~(v90(constB195, 0) | v90(constB195, 1) | (~v90(constB195, 2))))) <=> (v123(constB195) <=> (~(v90(constB195, 1) | v90(constB195, 0) | (~v90(constB195, 2)))))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34733,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB195) <=> (~(v90(constB195, 0) | v90(constB195, 1) | (~v90(constB195, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB195) <=> (~(v90(constB195, 1) | v90(constB195, 0) | (~v90(constB195, 2))))))),
% 7.65/5.87 inference(monotonicity,[status(thm)],[34732])).
% 7.65/5.87 tff(34734,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB195) <=> (~(v90(constB195, 0) | v90(constB195, 1) | (~v90(constB195, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB195) <=> (~(v90(constB195, 1) | v90(constB195, 0) | (~v90(constB195, 2))))))),
% 7.65/5.87 inference(transitivity,[status(thm)],[34733, 34731])).
% 7.65/5.87 tff(34735,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB195) <=> (~(v90(constB195, 0) | v90(constB195, 1) | (~v90(constB195, 2)))))),
% 7.65/5.87 inference(quant_inst,[status(thm)],[])).
% 7.65/5.87 tff(34736,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB195) <=> (~(v90(constB195, 1) | v90(constB195, 0) | (~v90(constB195, 2)))))),
% 7.65/5.87 inference(modus_ponens,[status(thm)],[34735, 34734])).
% 7.65/5.87 tff(34737,plain,
% 7.65/5.87 (v123(constB195) <=> (~(v90(constB195, 1) | v90(constB195, 0) | (~v90(constB195, 2))))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34736, 565])).
% 7.65/5.87 tff(34738,plain,
% 7.65/5.87 ((((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 0)) <=> v90(constB194, 0))) | (~((~v90(constB195, 1)) <=> v90(constB194, 1)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34739,plain,
% 7.65/5.87 (~((~v90(constB195, 1)) <=> v90(constB194, 1))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34738, 34582])).
% 7.65/5.87 tff(34740,plain,
% 7.65/5.87 ((((~v129(constB194, 2)) <=> v127(constB193, 2)) | ((~v129(constB194, 1)) <=> v127(constB193, 1)) | ((~v129(constB194, 0)) <=> v127(constB193, 0))) | (~((~v129(constB194, 1)) <=> v127(constB193, 1)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34741,plain,
% 7.65/5.87 (~((~v129(constB194, 1)) <=> v127(constB193, 1))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34740, 34588])).
% 7.65/5.87 tff(34742,plain,
% 7.65/5.87 ((((~v127(constB193, 2)) <=> v130(constB193, 2)) | ((~v127(constB193, 1)) <=> v130(constB193, 1)) | ((~v127(constB193, 0)) <=> v130(constB193, 0))) | (~((~v127(constB193, 1)) <=> v130(constB193, 1)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34743,plain,
% 7.65/5.87 (~((~v127(constB193, 1)) <=> v130(constB193, 1))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34742, 34602])).
% 7.65/5.87 tff(34744,plain,
% 7.65/5.87 ((v130(constB193, 0) | (~v130(constB193, 2)) | (~v130(constB193, 1))) | v130(constB193, 1)),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34745,plain,
% 7.65/5.87 (v130(constB193, 1)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34744, 34620])).
% 7.65/5.87 tff(34746,plain,
% 7.65/5.87 (((~v127(constB193, 1)) <=> v130(constB193, 1)) | v127(constB193, 1) | (~v130(constB193, 1))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34747,plain,
% 7.65/5.87 (v127(constB193, 1)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34746, 34745, 34743])).
% 7.65/5.87 tff(34748,plain,
% 7.65/5.87 (((~v129(constB194, 1)) <=> v127(constB193, 1)) | v129(constB194, 1) | (~v127(constB193, 1))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34749,plain,
% 7.65/5.87 (v129(constB194, 1)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34748, 34747, 34741])).
% 7.65/5.87 tff(34750,plain,
% 7.65/5.87 ((((~v90(constB194, 0)) <=> v129(constB194, 0)) | ((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1))) | (~((~v90(constB194, 1)) <=> v129(constB194, 1)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34751,plain,
% 7.65/5.87 (~((~v90(constB194, 1)) <=> v129(constB194, 1))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34750, 34709])).
% 7.65/5.87 tff(34752,plain,
% 7.65/5.87 (((~v90(constB194, 1)) <=> v129(constB194, 1)) | v90(constB194, 1) | (~v129(constB194, 1))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34753,plain,
% 7.65/5.87 (v90(constB194, 1)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34752, 34751, 34749])).
% 7.65/5.87 tff(34754,plain,
% 7.65/5.87 (((~v90(constB195, 1)) <=> v90(constB194, 1)) | v90(constB195, 1) | (~v90(constB194, 1))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34755,plain,
% 7.65/5.87 (v90(constB195, 1)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34754, 34753, 34739])).
% 7.65/5.87 tff(34756,plain,
% 7.65/5.87 ((v90(constB195, 1) | v90(constB195, 0) | (~v90(constB195, 2))) | (~v90(constB195, 1))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34757,plain,
% 7.65/5.87 (v90(constB195, 1) | v90(constB195, 0) | (~v90(constB195, 2))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34756, 34755])).
% 7.65/5.87 tff(34758,plain,
% 7.65/5.87 ((~(v123(constB195) <=> (~(v90(constB195, 1) | v90(constB195, 0) | (~v90(constB195, 2)))))) | (~v123(constB195)) | (~(v90(constB195, 1) | v90(constB195, 0) | (~v90(constB195, 2))))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34759,plain,
% 7.65/5.87 (~v123(constB195)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34758, 34757, 34737])).
% 7.65/5.87 tff(34760,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB195) <=> (~(v90(constB195, 2) | (~v90(constB195, 1)) | (~v90(constB195, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB195) <=> (~(v90(constB195, 2) | (~v90(constB195, 1)) | (~v90(constB195, 0))))))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34761,plain,
% 7.65/5.87 ((v122(constB195) <=> (~(v90(constB195, 2) | (~v90(constB195, 0)) | (~v90(constB195, 1))))) <=> (v122(constB195) <=> (~(v90(constB195, 2) | (~v90(constB195, 1)) | (~v90(constB195, 0)))))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34762,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB195) <=> (~(v90(constB195, 2) | (~v90(constB195, 0)) | (~v90(constB195, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB195) <=> (~(v90(constB195, 2) | (~v90(constB195, 1)) | (~v90(constB195, 0))))))),
% 7.65/5.87 inference(monotonicity,[status(thm)],[34761])).
% 7.65/5.87 tff(34763,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB195) <=> (~(v90(constB195, 2) | (~v90(constB195, 0)) | (~v90(constB195, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB195) <=> (~(v90(constB195, 2) | (~v90(constB195, 1)) | (~v90(constB195, 0))))))),
% 7.65/5.87 inference(transitivity,[status(thm)],[34762, 34760])).
% 7.65/5.87 tff(34764,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB195) <=> (~(v90(constB195, 2) | (~v90(constB195, 0)) | (~v90(constB195, 1)))))),
% 7.65/5.87 inference(quant_inst,[status(thm)],[])).
% 7.65/5.87 tff(34765,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB195) <=> (~(v90(constB195, 2) | (~v90(constB195, 1)) | (~v90(constB195, 0)))))),
% 7.65/5.87 inference(modus_ponens,[status(thm)],[34764, 34763])).
% 7.65/5.87 tff(34766,plain,
% 7.65/5.87 (v122(constB195) <=> (~(v90(constB195, 2) | (~v90(constB195, 1)) | (~v90(constB195, 0))))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34765, 644])).
% 7.65/5.87 tff(34767,plain,
% 7.65/5.87 ((v90(constB195, 2) | (~v90(constB195, 1)) | (~v90(constB195, 0))) | v90(constB195, 0)),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34768,plain,
% 7.65/5.87 (v90(constB195, 2) | (~v90(constB195, 1)) | (~v90(constB195, 0))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34767, 34715])).
% 7.65/5.87 tff(34769,plain,
% 7.65/5.87 ((~(v122(constB195) <=> (~(v90(constB195, 2) | (~v90(constB195, 1)) | (~v90(constB195, 0)))))) | (~v122(constB195)) | (~(v90(constB195, 2) | (~v90(constB195, 1)) | (~v90(constB195, 0))))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34770,plain,
% 7.65/5.87 (~v122(constB195)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34769, 34768, 34766])).
% 7.65/5.87 tff(34771,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB195) <=> (~(v90(constB195, 2) | v90(constB195, 0) | (~v90(constB195, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB195) <=> (~(v90(constB195, 2) | v90(constB195, 0) | (~v90(constB195, 1))))))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34772,plain,
% 7.65/5.87 ((v121(constB195) <=> (~(v90(constB195, 0) | v90(constB195, 2) | (~v90(constB195, 1))))) <=> (v121(constB195) <=> (~(v90(constB195, 2) | v90(constB195, 0) | (~v90(constB195, 1)))))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34773,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB195) <=> (~(v90(constB195, 0) | v90(constB195, 2) | (~v90(constB195, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB195) <=> (~(v90(constB195, 2) | v90(constB195, 0) | (~v90(constB195, 1))))))),
% 7.65/5.87 inference(monotonicity,[status(thm)],[34772])).
% 7.65/5.87 tff(34774,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB195) <=> (~(v90(constB195, 0) | v90(constB195, 2) | (~v90(constB195, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB195) <=> (~(v90(constB195, 2) | v90(constB195, 0) | (~v90(constB195, 1))))))),
% 7.65/5.87 inference(transitivity,[status(thm)],[34773, 34771])).
% 7.65/5.87 tff(34775,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB195) <=> (~(v90(constB195, 0) | v90(constB195, 2) | (~v90(constB195, 1)))))),
% 7.65/5.87 inference(quant_inst,[status(thm)],[])).
% 7.65/5.87 tff(34776,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB195) <=> (~(v90(constB195, 2) | v90(constB195, 0) | (~v90(constB195, 1)))))),
% 7.65/5.87 inference(modus_ponens,[status(thm)],[34775, 34774])).
% 7.65/5.87 tff(34777,plain,
% 7.65/5.87 (v121(constB195) <=> (~(v90(constB195, 2) | v90(constB195, 0) | (~v90(constB195, 1))))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34776, 723])).
% 7.65/5.87 tff(34778,plain,
% 7.65/5.87 ((((~v90(constB195, 1)) <=> v90(constB194, 1)) | ((~v90(constB195, 2)) <=> v90(constB194, 2)) | ((~v90(constB195, 0)) <=> v90(constB194, 0))) | (~((~v90(constB195, 2)) <=> v90(constB194, 2)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34779,plain,
% 7.65/5.87 (~((~v90(constB195, 2)) <=> v90(constB194, 2))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34778, 34582])).
% 7.65/5.87 tff(34780,plain,
% 7.65/5.87 ((((~v129(constB194, 2)) <=> v127(constB193, 2)) | ((~v129(constB194, 1)) <=> v127(constB193, 1)) | ((~v129(constB194, 0)) <=> v127(constB193, 0))) | (~((~v129(constB194, 2)) <=> v127(constB193, 2)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34781,plain,
% 7.65/5.87 (~((~v129(constB194, 2)) <=> v127(constB193, 2))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34780, 34588])).
% 7.65/5.87 tff(34782,plain,
% 7.65/5.87 ((((~v127(constB193, 2)) <=> v130(constB193, 2)) | ((~v127(constB193, 1)) <=> v130(constB193, 1)) | ((~v127(constB193, 0)) <=> v130(constB193, 0))) | (~((~v127(constB193, 2)) <=> v130(constB193, 2)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34783,plain,
% 7.65/5.87 (~((~v127(constB193, 2)) <=> v130(constB193, 2))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34782, 34602])).
% 7.65/5.87 tff(34784,plain,
% 7.65/5.87 ((v130(constB193, 0) | (~v130(constB193, 2)) | (~v130(constB193, 1))) | v130(constB193, 2)),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34785,plain,
% 7.65/5.87 (v130(constB193, 2)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34784, 34620])).
% 7.65/5.87 tff(34786,plain,
% 7.65/5.87 (((~v127(constB193, 2)) <=> v130(constB193, 2)) | v127(constB193, 2) | (~v130(constB193, 2))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34787,plain,
% 7.65/5.87 (v127(constB193, 2)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34786, 34785, 34783])).
% 7.65/5.87 tff(34788,plain,
% 7.65/5.87 (((~v129(constB194, 2)) <=> v127(constB193, 2)) | v129(constB194, 2) | (~v127(constB193, 2))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34789,plain,
% 7.65/5.87 (v129(constB194, 2)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34788, 34787, 34781])).
% 7.65/5.87 tff(34790,plain,
% 7.65/5.87 ((((~v90(constB194, 0)) <=> v129(constB194, 0)) | ((~v90(constB194, 2)) <=> v129(constB194, 2)) | ((~v90(constB194, 1)) <=> v129(constB194, 1))) | (~((~v90(constB194, 2)) <=> v129(constB194, 2)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34791,plain,
% 7.65/5.87 (~((~v90(constB194, 2)) <=> v129(constB194, 2))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34790, 34709])).
% 7.65/5.87 tff(34792,plain,
% 7.65/5.87 (((~v90(constB194, 2)) <=> v129(constB194, 2)) | v90(constB194, 2) | (~v129(constB194, 2))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34793,plain,
% 7.65/5.87 (v90(constB194, 2)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34792, 34791, 34789])).
% 7.65/5.87 tff(34794,plain,
% 7.65/5.87 (((~v90(constB195, 2)) <=> v90(constB194, 2)) | v90(constB195, 2) | (~v90(constB194, 2))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34795,plain,
% 7.65/5.87 (v90(constB195, 2)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34794, 34793, 34779])).
% 7.65/5.87 tff(34796,plain,
% 7.65/5.87 ((v90(constB195, 2) | v90(constB195, 0) | (~v90(constB195, 1))) | (~v90(constB195, 2))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34797,plain,
% 7.65/5.87 (v90(constB195, 2) | v90(constB195, 0) | (~v90(constB195, 1))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34796, 34795])).
% 7.65/5.87 tff(34798,plain,
% 7.65/5.87 ((~(v121(constB195) <=> (~(v90(constB195, 2) | v90(constB195, 0) | (~v90(constB195, 1)))))) | (~v121(constB195)) | (~(v90(constB195, 2) | v90(constB195, 0) | (~v90(constB195, 1))))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34799,plain,
% 7.65/5.87 (~v121(constB195)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34798, 34797, 34777])).
% 7.65/5.87 tff(34800,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB195) <=> (~(v90(constB195, 0) | v90(constB195, 1) | v90(constB195, 2))))),
% 7.65/5.87 inference(quant_inst,[status(thm)],[])).
% 7.65/5.87 tff(34801,plain,
% 7.65/5.87 (v119(constB195) <=> (~(v90(constB195, 0) | v90(constB195, 1) | v90(constB195, 2)))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34800, 491])).
% 7.65/5.87 tff(34802,plain,
% 7.65/5.87 ((v90(constB195, 0) | v90(constB195, 1) | v90(constB195, 2)) | (~v90(constB195, 2))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34803,plain,
% 7.65/5.87 (v90(constB195, 0) | v90(constB195, 1) | v90(constB195, 2)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34802, 34795])).
% 7.65/5.87 tff(34804,plain,
% 7.65/5.87 ((~(v119(constB195) <=> (~(v90(constB195, 0) | v90(constB195, 1) | v90(constB195, 2))))) | (~v119(constB195)) | (~(v90(constB195, 0) | v90(constB195, 1) | v90(constB195, 2)))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34805,plain,
% 7.65/5.87 (~v119(constB195)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34804, 34803, 34801])).
% 7.65/5.87 tff(34806,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0)))))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34807,plain,
% 7.65/5.87 ((v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | (~(v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0))))) <=> (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0)))))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34808,plain,
% 7.65/5.87 ((~(v130(constB195, 1) | v130(constB195, 2) | (~v130(constB195, 0)))) <=> (~(v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0))))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34809,plain,
% 7.65/5.87 ((v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | (~(v130(constB195, 1) | v130(constB195, 2) | (~v130(constB195, 0))))) <=> (v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | (~(v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0)))))),
% 7.65/5.87 inference(monotonicity,[status(thm)],[34808])).
% 7.65/5.87 tff(34810,plain,
% 7.65/5.87 ((v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | (~(v130(constB195, 1) | v130(constB195, 2) | (~v130(constB195, 0))))) <=> (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0)))))),
% 7.65/5.87 inference(transitivity,[status(thm)],[34809, 34807])).
% 7.65/5.87 tff(34811,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | (~(v130(constB195, 1) | v130(constB195, 2) | (~v130(constB195, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0))))))),
% 7.65/5.87 inference(monotonicity,[status(thm)],[34810])).
% 7.65/5.87 tff(34812,plain,
% 7.65/5.87 (((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | (~(v130(constB195, 1) | v130(constB195, 2) | (~v130(constB195, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0)))))),
% 7.65/5.87 inference(transitivity,[status(thm)],[34811, 34806])).
% 7.65/5.87 tff(34813,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | (v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | (~(v130(constB195, 1) | v130(constB195, 2) | (~v130(constB195, 0)))))),
% 7.65/5.87 inference(quant_inst,[status(thm)],[])).
% 7.65/5.87 tff(34814,plain,
% 7.65/5.87 ((~![VarCurr: state_type] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, 1) | v130(VarCurr, 2) | (~v130(VarCurr, 0)))))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0))))),
% 7.65/5.87 inference(modus_ponens,[status(thm)],[34813, 34812])).
% 7.65/5.87 tff(34815,plain,
% 7.65/5.87 (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0))))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34814, 5059])).
% 7.65/5.87 tff(34816,plain,
% 7.65/5.87 (~(v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0)))),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34815, 34805, 34799, 34770, 34759, 34730, 34719])).
% 7.65/5.87 tff(34817,plain,
% 7.65/5.87 ((v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0))) | (~v130(constB195, 2))),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34818,plain,
% 7.65/5.87 (~v130(constB195, 2)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34817, 34816])).
% 7.65/5.87 tff(34819,plain,
% 7.65/5.87 (((~v127(constB195, 2)) <=> v130(constB195, 2)) | (~v127(constB195, 2)) | v130(constB195, 2)),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34820,plain,
% 7.65/5.87 (~v127(constB195, 2)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34819, 34818, 34549])).
% 7.65/5.87 tff(34821,plain,
% 7.65/5.87 (((~v129(constB196, 2)) <=> v127(constB195, 2)) | (~v129(constB196, 2)) | v127(constB195, 2)),
% 7.65/5.87 inference(tautology,[status(thm)],[])).
% 7.65/5.87 tff(34822,plain,
% 7.65/5.87 (~v129(constB196, 2)),
% 7.65/5.87 inference(unit_resolution,[status(thm)],[34821, 34820, 34535])).
% 7.65/5.87 tff(34823,plain,
% 7.65/5.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))))),
% 7.65/5.87 inference(rewrite,[status(thm)],[])).
% 7.65/5.87 tff(34824,plain,
% 7.65/5.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34825,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196)))))),
% 7.65/5.88 inference(modus_ponens,[status(thm)],[34824, 34823])).
% 7.65/5.88 tff(34826,plain,
% 7.65/5.88 (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34825, 34529, 273])).
% 7.65/5.88 tff(34827,plain,
% 7.65/5.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34828,plain,
% 7.65/5.88 (((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196)))))) <=> ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34829,plain,
% 7.65/5.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196)))))))),
% 7.65/5.88 inference(monotonicity,[status(thm)],[34828])).
% 7.65/5.88 tff(34830,plain,
% 7.65/5.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))),
% 7.65/5.88 inference(transitivity,[status(thm)],[34829, 34827])).
% 7.65/5.88 tff(34831,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196))))))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34832,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196)))))),
% 7.65/5.88 inference(modus_ponens,[status(thm)],[34831, 34830])).
% 7.65/5.88 tff(34833,plain,
% 7.65/5.88 (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34832, 34529, 293])).
% 7.65/5.88 tff(34834,plain,
% 7.65/5.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196)))),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34835,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34836,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196))),
% 7.65/5.88 inference(modus_ponens,[status(thm)],[34835, 34834])).
% 7.65/5.88 tff(34837,plain,
% 7.65/5.88 ((~v102(constB196)) <=> v104(constB196)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34836, 34529, 4609])).
% 7.65/5.88 tff(34838,plain,
% 7.65/5.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195)))),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34839,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34840,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195))),
% 7.65/5.88 inference(modus_ponens,[status(thm)],[34839, 34838])).
% 7.65/5.88 tff(34841,plain,
% 7.65/5.88 (v104(constB196) <=> v1(constB195)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34840, 34529, 4623])).
% 7.65/5.88 tff(34842,plain,
% 7.65/5.88 ((~(v104(constB196) <=> v1(constB195))) | (~v104(constB196)) | v1(constB195)),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34843,plain,
% 7.65/5.88 ((~(v104(constB196) <=> v1(constB195))) | (~v104(constB196))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34842, 34565])).
% 7.65/5.88 tff(34844,plain,
% 7.65/5.88 (~v104(constB196)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34843, 34841])).
% 7.65/5.88 tff(34845,plain,
% 7.65/5.88 ((~((~v102(constB196)) <=> v104(constB196))) | v102(constB196) | v104(constB196)),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34846,plain,
% 7.65/5.88 (v102(constB196)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34845, 34844, 34837])).
% 7.65/5.88 tff(34847,plain,
% 7.65/5.88 (v1(constB196) <=> v1(constB196)),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34848,axiom,(v1(constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_196')).
% 7.65/5.88 tff(34849,plain,
% 7.65/5.88 (v1(constB196)),
% 7.65/5.88 inference(modus_ponens,[status(thm)],[34848, 34847])).
% 7.65/5.88 tff(34850,plain,
% 7.65/5.88 ((~((~v1(constB196)) | (~v102(constB196)))) | (~v1(constB196)) | (~v102(constB196))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34851,plain,
% 7.65/5.88 ((~((~v1(constB196)) | (~v102(constB196)))) | (~v102(constB196))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34850, 34849])).
% 7.65/5.88 tff(34852,plain,
% 7.65/5.88 (~((~v1(constB196)) | (~v102(constB196)))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34851, 34846])).
% 7.65/5.88 tff(34853,plain,
% 7.65/5.88 ((~(v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196)))))) | v101(constB196) | ((~v1(constB196)) | (~v102(constB196)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34854,plain,
% 7.65/5.88 (v101(constB196)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34853, 34852, 34833])).
% 7.65/5.88 tff(34855,plain,
% 7.65/5.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195)))),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34856,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34857,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195))),
% 7.65/5.88 inference(modus_ponens,[status(thm)],[34856, 34855])).
% 7.65/5.88 tff(34858,plain,
% 7.65/5.88 (v110(constB196) <=> v108(constB195)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34857, 34529, 4650])).
% 7.65/5.88 tff(34859,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB195) <=> (v111(constB195) | v112(constB195)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34860,plain,
% 7.65/5.88 (v108(constB195) <=> (v111(constB195) | v112(constB195))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34859, 4661])).
% 7.65/5.88 tff(34861,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195)))))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34862,plain,
% 7.65/5.88 (v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195))))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34861, 4673])).
% 7.65/5.88 tff(34863,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB195) <=> (v114(constB195) | v125(constB195)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34864,plain,
% 7.65/5.88 (v113(constB195) <=> (v114(constB195) | v125(constB195))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34863, 4682])).
% 7.65/5.88 tff(34865,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : (v125(VarCurr) <=> (~(v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))))) | (v125(constB195) <=> (~(v90(constB195, 0) | (~v90(constB195, 1)) | (~v90(constB195, 2)))))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34866,plain,
% 7.65/5.88 (v125(constB195) <=> (~(v90(constB195, 0) | (~v90(constB195, 1)) | (~v90(constB195, 2))))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34865, 5131])).
% 7.65/5.88 tff(34867,plain,
% 7.65/5.88 ((~(v90(constB195, 0) | (~v90(constB195, 1)) | (~v90(constB195, 2)))) | v90(constB195, 0) | (~v90(constB195, 1)) | (~v90(constB195, 2))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34868,plain,
% 7.65/5.88 (~(v90(constB195, 0) | (~v90(constB195, 1)) | (~v90(constB195, 2)))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34867, 34755, 34715, 34795])).
% 7.65/5.88 tff(34869,plain,
% 7.65/5.88 ((~(v125(constB195) <=> (~(v90(constB195, 0) | (~v90(constB195, 1)) | (~v90(constB195, 2)))))) | v125(constB195) | (v90(constB195, 0) | (~v90(constB195, 1)) | (~v90(constB195, 2)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34870,plain,
% 7.65/5.88 (v125(constB195)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34869, 34868, 34866])).
% 7.65/5.88 tff(34871,plain,
% 7.65/5.88 ((v114(constB195) | v125(constB195)) | (~v125(constB195))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34872,plain,
% 7.65/5.88 (v114(constB195) | v125(constB195)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34871, 34870])).
% 7.65/5.88 tff(34873,plain,
% 7.65/5.88 ((~(v113(constB195) <=> (v114(constB195) | v125(constB195)))) | v113(constB195) | (~(v114(constB195) | v125(constB195)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34874,plain,
% 7.65/5.88 (v113(constB195)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34873, 34872, 34864])).
% 7.65/5.88 tff(34875,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB195)) <=> v111(constB195))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34876,plain,
% 7.65/5.88 ((~v126(constB195)) <=> v111(constB195)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34875, 4761])).
% 7.65/5.88 tff(34877,plain,
% 7.65/5.88 ((~((~v126(constB195)) <=> v111(constB195))) | v126(constB195) | v111(constB195)),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34878,plain,
% 7.65/5.88 ((~((~v126(constB195)) <=> v111(constB195))) | v126(constB195)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34877, 34542])).
% 7.65/5.88 tff(34879,plain,
% 7.65/5.88 (v126(constB195)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34878, 34876])).
% 7.65/5.88 tff(34880,plain,
% 7.65/5.88 ((~((~v113(constB195)) | (~v126(constB195)))) | (~v113(constB195)) | (~v126(constB195))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34881,plain,
% 7.65/5.88 ((~((~v113(constB195)) | (~v126(constB195)))) | (~v113(constB195))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34880, 34879])).
% 7.65/5.88 tff(34882,plain,
% 7.65/5.88 (~((~v113(constB195)) | (~v126(constB195)))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34881, 34874])).
% 7.65/5.88 tff(34883,plain,
% 7.65/5.88 ((~(v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195)))))) | v112(constB195) | ((~v113(constB195)) | (~v126(constB195)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34884,plain,
% 7.65/5.88 (v112(constB195)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34883, 34882, 34862])).
% 7.65/5.88 tff(34885,plain,
% 7.65/5.88 ((v111(constB195) | v112(constB195)) | (~v112(constB195))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34886,plain,
% 7.65/5.88 (v111(constB195) | v112(constB195)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34885, 34884])).
% 7.65/5.88 tff(34887,plain,
% 7.65/5.88 ((~(v108(constB195) <=> (v111(constB195) | v112(constB195)))) | v108(constB195) | (~(v111(constB195) | v112(constB195)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34888,plain,
% 7.65/5.88 (v108(constB195)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34887, 34886, 34860])).
% 7.65/5.88 tff(34889,plain,
% 7.65/5.88 ((~(v110(constB196) <=> v108(constB195))) | v110(constB196) | (~v108(constB195))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34890,plain,
% 7.65/5.88 (v110(constB196)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34889, 34888, 34858])).
% 7.65/5.88 tff(34891,plain,
% 7.65/5.88 ((~((~v101(constB196)) | (~v110(constB196)))) | (~v101(constB196)) | (~v110(constB196))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34892,plain,
% 7.65/5.88 (~((~v101(constB196)) | (~v110(constB196)))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34891, 34890, 34854])).
% 7.65/5.88 tff(34893,plain,
% 7.65/5.88 ((~(v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196)))))) | v100(constB196) | ((~v101(constB196)) | (~v110(constB196)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34894,plain,
% 7.65/5.88 (v100(constB196)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34893, 34892, 34826])).
% 7.65/5.88 tff(34895,plain,
% 7.65/5.88 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB196)) | (~(((~v90(constB196, 2)) <=> v129(constB196, 2)) | ((~v90(constB196, 1)) <=> v129(constB196, 1)) | ((~v90(constB196, 0)) <=> v129(constB196, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB196)) | (~(((~v90(constB196, 2)) <=> v129(constB196, 2)) | ((~v90(constB196, 1)) <=> v129(constB196, 1)) | ((~v90(constB196, 0)) <=> v129(constB196, 0)))))),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34896,plain,
% 7.65/5.88 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB196)) | (~(((~v90(constB196, 2)) <=> v129(constB196, 2)) | ((~v90(constB196, 1)) <=> v129(constB196, 1)) | ((~v90(constB196, 0)) <=> v129(constB196, 0)))))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34897,plain,
% 7.65/5.88 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB196)) | (~(((~v90(constB196, 2)) <=> v129(constB196, 2)) | ((~v90(constB196, 1)) <=> v129(constB196, 1)) | ((~v90(constB196, 0)) <=> v129(constB196, 0))))),
% 7.65/5.88 inference(modus_ponens,[status(thm)],[34896, 34895])).
% 7.65/5.88 tff(34898,plain,
% 7.65/5.88 ((~v100(constB196)) | (~(((~v90(constB196, 2)) <=> v129(constB196, 2)) | ((~v90(constB196, 1)) <=> v129(constB196, 1)) | ((~v90(constB196, 0)) <=> v129(constB196, 0))))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34897, 4794])).
% 7.65/5.88 tff(34899,plain,
% 7.65/5.88 (~(((~v90(constB196, 2)) <=> v129(constB196, 2)) | ((~v90(constB196, 1)) <=> v129(constB196, 1)) | ((~v90(constB196, 0)) <=> v129(constB196, 0)))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34898, 34894])).
% 7.65/5.88 tff(34900,plain,
% 7.65/5.88 ((((~v90(constB196, 2)) <=> v129(constB196, 2)) | ((~v90(constB196, 1)) <=> v129(constB196, 1)) | ((~v90(constB196, 0)) <=> v129(constB196, 0))) | (~((~v90(constB196, 2)) <=> v129(constB196, 2)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34901,plain,
% 7.65/5.88 (~((~v90(constB196, 2)) <=> v129(constB196, 2))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34900, 34899])).
% 7.65/5.88 tff(34902,plain,
% 7.65/5.88 (((~v90(constB196, 2)) <=> v129(constB196, 2)) | (~v90(constB196, 2)) | v129(constB196, 2)),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34903,plain,
% 7.65/5.88 (~v90(constB196, 2)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34902, 34901, 34822])).
% 7.65/5.88 tff(34904,plain,
% 7.65/5.88 (((~v90(constB197, 2)) <=> v90(constB196, 2)) | (~v90(constB197, 2)) | v90(constB196, 2)),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34905,plain,
% 7.65/5.88 (~v90(constB197, 2)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34904, 34903, 34526])).
% 7.65/5.88 tff(34906,plain,
% 7.65/5.88 ((((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 0)) <=> v90(constB196, 0))) | (~((~v90(constB197, 0)) <=> v90(constB196, 0)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34907,plain,
% 7.65/5.88 (~((~v90(constB197, 0)) <=> v90(constB196, 0))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34906, 34524])).
% 7.65/5.88 tff(34908,plain,
% 7.65/5.88 ((((~v129(constB196, 2)) <=> v127(constB195, 2)) | ((~v129(constB196, 1)) <=> v127(constB195, 1)) | ((~v129(constB196, 0)) <=> v127(constB195, 0))) | (~((~v129(constB196, 0)) <=> v127(constB195, 0)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34909,plain,
% 7.65/5.88 (~((~v129(constB196, 0)) <=> v127(constB195, 0))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34908, 34533])).
% 7.65/5.88 tff(34910,plain,
% 7.65/5.88 ((((~v127(constB195, 2)) <=> v130(constB195, 2)) | ((~v127(constB195, 1)) <=> v130(constB195, 1)) | ((~v127(constB195, 0)) <=> v130(constB195, 0))) | (~((~v127(constB195, 0)) <=> v130(constB195, 0)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34911,plain,
% 7.65/5.88 (~((~v127(constB195, 0)) <=> v130(constB195, 0))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34910, 34547])).
% 7.65/5.88 tff(34912,plain,
% 7.65/5.88 ((v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0))) | v130(constB195, 0)),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34913,plain,
% 7.65/5.88 (v130(constB195, 0)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34912, 34816])).
% 7.65/5.88 tff(34914,plain,
% 7.65/5.88 (((~v127(constB195, 0)) <=> v130(constB195, 0)) | v127(constB195, 0) | (~v130(constB195, 0))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34915,plain,
% 7.65/5.88 (v127(constB195, 0)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34914, 34913, 34911])).
% 7.65/5.88 tff(34916,plain,
% 7.65/5.88 (((~v129(constB196, 0)) <=> v127(constB195, 0)) | v129(constB196, 0) | (~v127(constB195, 0))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34917,plain,
% 7.65/5.88 (v129(constB196, 0)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34916, 34915, 34909])).
% 7.65/5.88 tff(34918,plain,
% 7.65/5.88 ((((~v90(constB196, 2)) <=> v129(constB196, 2)) | ((~v90(constB196, 1)) <=> v129(constB196, 1)) | ((~v90(constB196, 0)) <=> v129(constB196, 0))) | (~((~v90(constB196, 0)) <=> v129(constB196, 0)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34919,plain,
% 7.65/5.88 (~((~v90(constB196, 0)) <=> v129(constB196, 0))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34918, 34899])).
% 7.65/5.88 tff(34920,plain,
% 7.65/5.88 (((~v90(constB196, 0)) <=> v129(constB196, 0)) | v90(constB196, 0) | (~v129(constB196, 0))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34921,plain,
% 7.65/5.88 (v90(constB196, 0)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34920, 34919, 34917])).
% 7.65/5.88 tff(34922,plain,
% 7.65/5.88 (((~v90(constB197, 0)) <=> v90(constB196, 0)) | v90(constB197, 0) | (~v90(constB196, 0))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34923,plain,
% 7.65/5.88 (v90(constB197, 0)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34922, 34921, 34907])).
% 7.65/5.88 tff(34924,plain,
% 7.65/5.88 ((((~v90(constB197, 1)) <=> v90(constB196, 1)) | ((~v90(constB197, 2)) <=> v90(constB196, 2)) | ((~v90(constB197, 0)) <=> v90(constB196, 0))) | (~((~v90(constB197, 1)) <=> v90(constB196, 1)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34925,plain,
% 7.65/5.88 (~((~v90(constB197, 1)) <=> v90(constB196, 1))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34924, 34524])).
% 7.65/5.88 tff(34926,plain,
% 7.65/5.88 ((((~v129(constB196, 2)) <=> v127(constB195, 2)) | ((~v129(constB196, 1)) <=> v127(constB195, 1)) | ((~v129(constB196, 0)) <=> v127(constB195, 0))) | (~((~v129(constB196, 1)) <=> v127(constB195, 1)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34927,plain,
% 7.65/5.88 (~((~v129(constB196, 1)) <=> v127(constB195, 1))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34926, 34533])).
% 7.65/5.88 tff(34928,plain,
% 7.65/5.88 ((((~v127(constB195, 2)) <=> v130(constB195, 2)) | ((~v127(constB195, 1)) <=> v130(constB195, 1)) | ((~v127(constB195, 0)) <=> v130(constB195, 0))) | (~((~v127(constB195, 1)) <=> v130(constB195, 1)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34929,plain,
% 7.65/5.88 (~((~v127(constB195, 1)) <=> v130(constB195, 1))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34928, 34547])).
% 7.65/5.88 tff(34930,plain,
% 7.65/5.88 ((v130(constB195, 2) | v130(constB195, 1) | (~v130(constB195, 0))) | (~v130(constB195, 1))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34931,plain,
% 7.65/5.88 (~v130(constB195, 1)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34930, 34816])).
% 7.65/5.88 tff(34932,plain,
% 7.65/5.88 (((~v127(constB195, 1)) <=> v130(constB195, 1)) | (~v127(constB195, 1)) | v130(constB195, 1)),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34933,plain,
% 7.65/5.88 (~v127(constB195, 1)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34932, 34931, 34929])).
% 7.65/5.88 tff(34934,plain,
% 7.65/5.88 (((~v129(constB196, 1)) <=> v127(constB195, 1)) | (~v129(constB196, 1)) | v127(constB195, 1)),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34935,plain,
% 7.65/5.88 (~v129(constB196, 1)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34934, 34933, 34927])).
% 7.65/5.88 tff(34936,plain,
% 7.65/5.88 ((((~v90(constB196, 2)) <=> v129(constB196, 2)) | ((~v90(constB196, 1)) <=> v129(constB196, 1)) | ((~v90(constB196, 0)) <=> v129(constB196, 0))) | (~((~v90(constB196, 1)) <=> v129(constB196, 1)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34937,plain,
% 7.65/5.88 (~((~v90(constB196, 1)) <=> v129(constB196, 1))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34936, 34899])).
% 7.65/5.88 tff(34938,plain,
% 7.65/5.88 (((~v90(constB196, 1)) <=> v129(constB196, 1)) | (~v90(constB196, 1)) | v129(constB196, 1)),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34939,plain,
% 7.65/5.88 (~v90(constB196, 1)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34938, 34937, 34935])).
% 7.65/5.88 tff(34940,plain,
% 7.65/5.88 (((~v90(constB197, 1)) <=> v90(constB196, 1)) | (~v90(constB197, 1)) | v90(constB196, 1)),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34941,plain,
% 7.65/5.88 (~v90(constB197, 1)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34940, 34939, 34925])).
% 7.65/5.88 tff(34942,plain,
% 7.65/5.88 ((~(v90(constB197, 1) | v90(constB197, 2) | (~v90(constB197, 0)))) | v90(constB197, 1) | v90(constB197, 2) | (~v90(constB197, 0))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34943,plain,
% 7.65/5.88 (~(v90(constB197, 1) | v90(constB197, 2) | (~v90(constB197, 0)))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34942, 34941, 34923, 34905])).
% 7.65/5.88 tff(34944,plain,
% 7.65/5.88 ((~(v120(constB197) <=> (~(v90(constB197, 1) | v90(constB197, 2) | (~v90(constB197, 0)))))) | v120(constB197) | (v90(constB197, 1) | v90(constB197, 2) | (~v90(constB197, 0)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34945,plain,
% 7.65/5.88 (v120(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34944, 34943, 34490])).
% 7.65/5.88 tff(34946,plain,
% 7.65/5.88 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB197)) | (~(v130(constB197, 2) | v130(constB197, 0) | (~v130(constB197, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB197)) | (~(v130(constB197, 2) | v130(constB197, 0) | (~v130(constB197, 1)))))),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34947,plain,
% 7.65/5.88 (((~v120(constB197)) | (~(v130(constB197, 0) | v130(constB197, 2) | (~v130(constB197, 1))))) <=> ((~v120(constB197)) | (~(v130(constB197, 2) | v130(constB197, 0) | (~v130(constB197, 1)))))),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34948,plain,
% 7.65/5.88 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB197)) | (~(v130(constB197, 0) | v130(constB197, 2) | (~v130(constB197, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB197)) | (~(v130(constB197, 2) | v130(constB197, 0) | (~v130(constB197, 1))))))),
% 7.65/5.88 inference(monotonicity,[status(thm)],[34947])).
% 7.65/5.88 tff(34949,plain,
% 7.65/5.88 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB197)) | (~(v130(constB197, 0) | v130(constB197, 2) | (~v130(constB197, 1)))))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB197)) | (~(v130(constB197, 2) | v130(constB197, 0) | (~v130(constB197, 1)))))),
% 7.65/5.88 inference(transitivity,[status(thm)],[34948, 34946])).
% 7.65/5.88 tff(34950,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | ((~v120(constB197)) | (~(v130(constB197, 0) | v130(constB197, 2) | (~v130(constB197, 1)))))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34951,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~(v130(VarCurr, 0) | v130(VarCurr, 2) | (~v130(VarCurr, 1)))))) | (~v120(constB197)) | (~(v130(constB197, 2) | v130(constB197, 0) | (~v130(constB197, 1))))),
% 7.65/5.88 inference(modus_ponens,[status(thm)],[34950, 34949])).
% 7.65/5.88 tff(34952,plain,
% 7.65/5.88 ((~v120(constB197)) | (~(v130(constB197, 2) | v130(constB197, 0) | (~v130(constB197, 1))))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34951, 5246])).
% 7.65/5.88 tff(34953,plain,
% 7.65/5.88 (~(v130(constB197, 2) | v130(constB197, 0) | (~v130(constB197, 1)))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34952, 34945])).
% 7.65/5.88 tff(34954,plain,
% 7.65/5.88 ((v130(constB197, 2) | v130(constB197, 0) | (~v130(constB197, 1))) | (~v130(constB197, 2))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34955,plain,
% 7.65/5.88 (~v130(constB197, 2)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34954, 34953])).
% 7.65/5.88 tff(34956,plain,
% 7.65/5.88 (((~v127(constB197, 2)) <=> v130(constB197, 2)) | (~v127(constB197, 2)) | v130(constB197, 2)),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34957,plain,
% 7.65/5.88 (~v127(constB197, 2)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34956, 34955, 34488])).
% 7.65/5.88 tff(34958,plain,
% 7.65/5.88 (((~v129(constB198, 2)) <=> v127(constB197, 2)) | (~v129(constB198, 2)) | v127(constB197, 2)),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34959,plain,
% 7.65/5.88 (~v129(constB198, 2)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34958, 34957, 34474])).
% 7.65/5.88 tff(34960,plain,
% 7.65/5.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB197, constB198)) | (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB197, constB198)) | (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198))))))),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34961,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB197, constB198)) | (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198))))))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34962,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB197, constB198)) | (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198)))))),
% 7.65/5.88 inference(modus_ponens,[status(thm)],[34961, 34960])).
% 7.65/5.88 tff(34963,plain,
% 7.65/5.88 (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198))))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34962, 34468, 273])).
% 7.65/5.88 tff(34964,plain,
% 7.65/5.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))))),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34965,plain,
% 7.65/5.88 (((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v102(constB198)) | (~v1(constB198)))))) <=> ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))))),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34966,plain,
% 7.65/5.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v102(constB198)) | (~v1(constB198))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198)))))))),
% 7.65/5.88 inference(monotonicity,[status(thm)],[34965])).
% 7.65/5.88 tff(34967,plain,
% 7.65/5.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v102(constB198)) | (~v1(constB198))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))))),
% 7.65/5.88 inference(transitivity,[status(thm)],[34966, 34964])).
% 7.65/5.88 tff(34968,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v102(constB198)) | (~v1(constB198))))))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34969,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198)))))),
% 7.65/5.88 inference(modus_ponens,[status(thm)],[34968, 34967])).
% 7.65/5.88 tff(34970,plain,
% 7.65/5.88 (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34969, 34468, 293])).
% 7.65/5.88 tff(34971,plain,
% 7.65/5.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB197, constB198)) | ((~v102(constB198)) <=> v104(constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB197, constB198)) | ((~v102(constB198)) <=> v104(constB198)))),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34972,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB197, constB198)) | ((~v102(constB198)) <=> v104(constB198)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34973,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB197, constB198)) | ((~v102(constB198)) <=> v104(constB198))),
% 7.65/5.88 inference(modus_ponens,[status(thm)],[34972, 34971])).
% 7.65/5.88 tff(34974,plain,
% 7.65/5.88 ((~v102(constB198)) <=> v104(constB198)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34973, 34468, 4609])).
% 7.65/5.88 tff(34975,plain,
% 7.65/5.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB197, constB198)) | (v104(constB198) <=> v1(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB197, constB198)) | (v104(constB198) <=> v1(constB197)))),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34976,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB197, constB198)) | (v104(constB198) <=> v1(constB197)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34977,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB197, constB198)) | (v104(constB198) <=> v1(constB197))),
% 7.65/5.88 inference(modus_ponens,[status(thm)],[34976, 34975])).
% 7.65/5.88 tff(34978,plain,
% 7.65/5.88 (v104(constB198) <=> v1(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34977, 34468, 4623])).
% 7.65/5.88 tff(34979,plain,
% 7.65/5.88 ((~(v104(constB198) <=> v1(constB197))) | (~v104(constB198)) | v1(constB197)),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34980,plain,
% 7.65/5.88 ((~(v104(constB198) <=> v1(constB197))) | (~v104(constB198))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34979, 34507])).
% 7.65/5.88 tff(34981,plain,
% 7.65/5.88 (~v104(constB198)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34980, 34978])).
% 7.65/5.88 tff(34982,plain,
% 7.65/5.88 ((~((~v102(constB198)) <=> v104(constB198))) | v102(constB198) | v104(constB198)),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34983,plain,
% 7.65/5.88 (v102(constB198)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34982, 34981, 34974])).
% 7.65/5.88 tff(34984,plain,
% 7.65/5.88 (v1(constB198) <=> v1(constB198)),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34985,axiom,(v1(constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_198')).
% 7.65/5.88 tff(34986,plain,
% 7.65/5.88 (v1(constB198)),
% 7.65/5.88 inference(modus_ponens,[status(thm)],[34985, 34984])).
% 7.65/5.88 tff(34987,plain,
% 7.65/5.88 ((~((~v1(constB198)) | (~v102(constB198)))) | (~v1(constB198)) | (~v102(constB198))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34988,plain,
% 7.65/5.88 ((~((~v1(constB198)) | (~v102(constB198)))) | (~v102(constB198))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34987, 34986])).
% 7.65/5.88 tff(34989,plain,
% 7.65/5.88 (~((~v1(constB198)) | (~v102(constB198)))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34988, 34983])).
% 7.65/5.88 tff(34990,plain,
% 7.65/5.88 ((~(v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198)))))) | v101(constB198) | ((~v1(constB198)) | (~v102(constB198)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(34991,plain,
% 7.65/5.88 (v101(constB198)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34990, 34989, 34970])).
% 7.65/5.88 tff(34992,plain,
% 7.65/5.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB197, constB198)) | (v110(constB198) <=> v108(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB197, constB198)) | (v110(constB198) <=> v108(constB197)))),
% 7.65/5.88 inference(rewrite,[status(thm)],[])).
% 7.65/5.88 tff(34993,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB197, constB198)) | (v110(constB198) <=> v108(constB197)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34994,plain,
% 7.65/5.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB197, constB198)) | (v110(constB198) <=> v108(constB197))),
% 7.65/5.88 inference(modus_ponens,[status(thm)],[34993, 34992])).
% 7.65/5.88 tff(34995,plain,
% 7.65/5.88 (v110(constB198) <=> v108(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34994, 34468, 4650])).
% 7.65/5.88 tff(34996,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB197) <=> (v111(constB197) | v112(constB197)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34997,plain,
% 7.65/5.88 (v108(constB197) <=> (v111(constB197) | v112(constB197))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34996, 4661])).
% 7.65/5.88 tff(34998,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB197) <=> (~((~v113(constB197)) | (~v126(constB197)))))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(34999,plain,
% 7.65/5.88 (v112(constB197) <=> (~((~v113(constB197)) | (~v126(constB197))))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[34998, 4673])).
% 7.65/5.88 tff(35000,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB197) <=> (v114(constB197) | v125(constB197)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(35001,plain,
% 7.65/5.88 (v113(constB197) <=> (v114(constB197) | v125(constB197))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35000, 4682])).
% 7.65/5.88 tff(35002,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB197) <=> (v115(constB197) | v124(constB197)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(35003,plain,
% 7.65/5.88 (v114(constB197) <=> (v115(constB197) | v124(constB197))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35002, 4691])).
% 7.65/5.88 tff(35004,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB197) <=> (v116(constB197) | v123(constB197)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(35005,plain,
% 7.65/5.88 (v115(constB197) <=> (v116(constB197) | v123(constB197))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35004, 4700])).
% 7.65/5.88 tff(35006,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB197) <=> (v117(constB197) | v122(constB197)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(35007,plain,
% 7.65/5.88 (v116(constB197) <=> (v117(constB197) | v122(constB197))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35006, 4709])).
% 7.65/5.88 tff(35008,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB197) <=> (v118(constB197) | v121(constB197)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(35009,plain,
% 7.65/5.88 (v117(constB197) <=> (v118(constB197) | v121(constB197))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35008, 4718])).
% 7.65/5.88 tff(35010,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB197) <=> (v119(constB197) | v120(constB197)))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(35011,plain,
% 7.65/5.88 (v118(constB197) <=> (v119(constB197) | v120(constB197))),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35010, 4727])).
% 7.65/5.88 tff(35012,plain,
% 7.65/5.88 ((v119(constB197) | v120(constB197)) | (~v120(constB197))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(35013,plain,
% 7.65/5.88 (v119(constB197) | v120(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35012, 34945])).
% 7.65/5.88 tff(35014,plain,
% 7.65/5.88 ((~(v118(constB197) <=> (v119(constB197) | v120(constB197)))) | v118(constB197) | (~(v119(constB197) | v120(constB197)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(35015,plain,
% 7.65/5.88 (v118(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35014, 35013, 35011])).
% 7.65/5.88 tff(35016,plain,
% 7.65/5.88 ((v118(constB197) | v121(constB197)) | (~v118(constB197))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(35017,plain,
% 7.65/5.88 (v118(constB197) | v121(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35016, 35015])).
% 7.65/5.88 tff(35018,plain,
% 7.65/5.88 ((~(v117(constB197) <=> (v118(constB197) | v121(constB197)))) | v117(constB197) | (~(v118(constB197) | v121(constB197)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(35019,plain,
% 7.65/5.88 (v117(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35018, 35017, 35009])).
% 7.65/5.88 tff(35020,plain,
% 7.65/5.88 ((v117(constB197) | v122(constB197)) | (~v117(constB197))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(35021,plain,
% 7.65/5.88 (v117(constB197) | v122(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35020, 35019])).
% 7.65/5.88 tff(35022,plain,
% 7.65/5.88 ((~(v116(constB197) <=> (v117(constB197) | v122(constB197)))) | v116(constB197) | (~(v117(constB197) | v122(constB197)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(35023,plain,
% 7.65/5.88 (v116(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35022, 35021, 35007])).
% 7.65/5.88 tff(35024,plain,
% 7.65/5.88 ((v116(constB197) | v123(constB197)) | (~v116(constB197))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(35025,plain,
% 7.65/5.88 (v116(constB197) | v123(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35024, 35023])).
% 7.65/5.88 tff(35026,plain,
% 7.65/5.88 ((~(v115(constB197) <=> (v116(constB197) | v123(constB197)))) | v115(constB197) | (~(v116(constB197) | v123(constB197)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(35027,plain,
% 7.65/5.88 (v115(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35026, 35025, 35005])).
% 7.65/5.88 tff(35028,plain,
% 7.65/5.88 ((v115(constB197) | v124(constB197)) | (~v115(constB197))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(35029,plain,
% 7.65/5.88 (v115(constB197) | v124(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35028, 35027])).
% 7.65/5.88 tff(35030,plain,
% 7.65/5.88 ((~(v114(constB197) <=> (v115(constB197) | v124(constB197)))) | v114(constB197) | (~(v115(constB197) | v124(constB197)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(35031,plain,
% 7.65/5.88 (v114(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35030, 35029, 35003])).
% 7.65/5.88 tff(35032,plain,
% 7.65/5.88 ((v114(constB197) | v125(constB197)) | (~v114(constB197))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(35033,plain,
% 7.65/5.88 (v114(constB197) | v125(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35032, 35031])).
% 7.65/5.88 tff(35034,plain,
% 7.65/5.88 ((~(v113(constB197) <=> (v114(constB197) | v125(constB197)))) | v113(constB197) | (~(v114(constB197) | v125(constB197)))),
% 7.65/5.88 inference(tautology,[status(thm)],[])).
% 7.65/5.88 tff(35035,plain,
% 7.65/5.88 (v113(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35034, 35033, 35001])).
% 7.65/5.88 tff(35036,plain,
% 7.65/5.88 ((~![VarCurr: state_type] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB197)) <=> v111(constB197))),
% 7.65/5.88 inference(quant_inst,[status(thm)],[])).
% 7.65/5.88 tff(35037,plain,
% 7.65/5.88 ((~v126(constB197)) <=> v111(constB197)),
% 7.65/5.88 inference(unit_resolution,[status(thm)],[35036, 4761])).
% 7.65/5.88 tff(35038,plain,
% 7.65/5.88 ((~((~v126(constB197)) <=> v111(constB197))) | v126(constB197) | v111(constB197)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35039,plain,
% 7.65/5.89 ((~((~v126(constB197)) <=> v111(constB197))) | v126(constB197)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35038, 34481])).
% 7.65/5.89 tff(35040,plain,
% 7.65/5.89 (v126(constB197)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35039, 35037])).
% 7.65/5.89 tff(35041,plain,
% 7.65/5.89 ((~((~v113(constB197)) | (~v126(constB197)))) | (~v113(constB197)) | (~v126(constB197))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35042,plain,
% 7.65/5.89 ((~((~v113(constB197)) | (~v126(constB197)))) | (~v113(constB197))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35041, 35040])).
% 7.65/5.89 tff(35043,plain,
% 7.65/5.89 (~((~v113(constB197)) | (~v126(constB197)))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35042, 35035])).
% 7.65/5.89 tff(35044,plain,
% 7.65/5.89 ((~(v112(constB197) <=> (~((~v113(constB197)) | (~v126(constB197)))))) | v112(constB197) | ((~v113(constB197)) | (~v126(constB197)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35045,plain,
% 7.65/5.89 (v112(constB197)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35044, 35043, 34999])).
% 7.65/5.89 tff(35046,plain,
% 7.65/5.89 ((v111(constB197) | v112(constB197)) | (~v112(constB197))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35047,plain,
% 7.65/5.89 (v111(constB197) | v112(constB197)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35046, 35045])).
% 7.65/5.89 tff(35048,plain,
% 7.65/5.89 ((~(v108(constB197) <=> (v111(constB197) | v112(constB197)))) | v108(constB197) | (~(v111(constB197) | v112(constB197)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35049,plain,
% 7.65/5.89 (v108(constB197)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35048, 35047, 34997])).
% 7.65/5.89 tff(35050,plain,
% 7.65/5.89 ((~(v110(constB198) <=> v108(constB197))) | v110(constB198) | (~v108(constB197))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35051,plain,
% 7.65/5.89 (v110(constB198)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35050, 35049, 34995])).
% 7.65/5.89 tff(35052,plain,
% 7.65/5.89 ((~((~v101(constB198)) | (~v110(constB198)))) | (~v101(constB198)) | (~v110(constB198))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35053,plain,
% 7.65/5.89 (~((~v101(constB198)) | (~v110(constB198)))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35052, 35051, 34991])).
% 7.65/5.89 tff(35054,plain,
% 7.65/5.89 ((~(v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198)))))) | v100(constB198) | ((~v101(constB198)) | (~v110(constB198)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35055,plain,
% 7.65/5.89 (v100(constB198)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35054, 35053, 34963])).
% 7.65/5.89 tff(35056,plain,
% 7.65/5.89 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB198)) | (~(((~v90(constB198, 0)) <=> v129(constB198, 0)) | ((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB198)) | (~(((~v90(constB198, 0)) <=> v129(constB198, 0)) | ((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1)))))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35057,plain,
% 7.65/5.89 (((~v100(constB198)) | (~(((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1)) | ((~v90(constB198, 0)) <=> v129(constB198, 0))))) <=> ((~v100(constB198)) | (~(((~v90(constB198, 0)) <=> v129(constB198, 0)) | ((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1)))))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35058,plain,
% 7.65/5.89 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB198)) | (~(((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1)) | ((~v90(constB198, 0)) <=> v129(constB198, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB198)) | (~(((~v90(constB198, 0)) <=> v129(constB198, 0)) | ((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1))))))),
% 7.65/5.89 inference(monotonicity,[status(thm)],[35057])).
% 7.65/5.89 tff(35059,plain,
% 7.65/5.89 (((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB198)) | (~(((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1)) | ((~v90(constB198, 0)) <=> v129(constB198, 0)))))) <=> ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB198)) | (~(((~v90(constB198, 0)) <=> v129(constB198, 0)) | ((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1)))))),
% 7.65/5.89 inference(transitivity,[status(thm)],[35058, 35056])).
% 7.65/5.89 tff(35060,plain,
% 7.65/5.89 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | ((~v100(constB198)) | (~(((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1)) | ((~v90(constB198, 0)) <=> v129(constB198, 0)))))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35061,plain,
% 7.65/5.89 ((~![VarNext: state_type] : ((~v100(VarNext)) | (~(((~v90(VarNext, 2)) <=> v129(VarNext, 2)) | ((~v90(VarNext, 1)) <=> v129(VarNext, 1)) | ((~v90(VarNext, 0)) <=> v129(VarNext, 0)))))) | (~v100(constB198)) | (~(((~v90(constB198, 0)) <=> v129(constB198, 0)) | ((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1))))),
% 7.65/5.89 inference(modus_ponens,[status(thm)],[35060, 35059])).
% 7.65/5.89 tff(35062,plain,
% 7.65/5.89 ((~v100(constB198)) | (~(((~v90(constB198, 0)) <=> v129(constB198, 0)) | ((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1))))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35061, 4794])).
% 7.65/5.89 tff(35063,plain,
% 7.65/5.89 (~(((~v90(constB198, 0)) <=> v129(constB198, 0)) | ((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1)))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35062, 35055])).
% 7.65/5.89 tff(35064,plain,
% 7.65/5.89 ((((~v90(constB198, 0)) <=> v129(constB198, 0)) | ((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1))) | (~((~v90(constB198, 2)) <=> v129(constB198, 2)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35065,plain,
% 7.65/5.89 (~((~v90(constB198, 2)) <=> v129(constB198, 2))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35064, 35063])).
% 7.65/5.89 tff(35066,plain,
% 7.65/5.89 (((~v90(constB198, 2)) <=> v129(constB198, 2)) | (~v90(constB198, 2)) | v129(constB198, 2)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35067,plain,
% 7.65/5.89 (~v90(constB198, 2)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35066, 35065, 34959])).
% 7.65/5.89 tff(35068,plain,
% 7.65/5.89 (((~v90(constB199, 2)) <=> v90(constB198, 2)) | (~v90(constB199, 2)) | v90(constB198, 2)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35069,plain,
% 7.65/5.89 (~v90(constB199, 2)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35068, 35067, 34465])).
% 7.65/5.89 tff(35070,plain,
% 7.65/5.89 (((~v88(constB199, 2)) <=> v90(constB199, 2)) | (~v88(constB199, 2)) | v90(constB199, 2)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35071,plain,
% 7.65/5.89 (~v88(constB199, 2)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35070, 35069, 34429])).
% 7.65/5.89 tff(35072,plain,
% 7.65/5.89 ((((~v88(constB199, 1)) <=> v90(constB199, 1)) | ((~v88(constB199, 2)) <=> v90(constB199, 2)) | ((~v88(constB199, 0)) <=> v90(constB199, 0))) | (~((~v88(constB199, 0)) <=> v90(constB199, 0)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35073,plain,
% 7.65/5.89 (~((~v88(constB199, 0)) <=> v90(constB199, 0))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35072, 34427])).
% 7.65/5.89 tff(35074,plain,
% 7.65/5.89 ((((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 0)) <=> v90(constB198, 0))) | (~((~v90(constB199, 0)) <=> v90(constB198, 0)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35075,plain,
% 7.65/5.89 (~((~v90(constB199, 0)) <=> v90(constB198, 0))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35074, 34463])).
% 7.65/5.89 tff(35076,plain,
% 7.65/5.89 ((((~v129(constB198, 2)) <=> v127(constB197, 2)) | ((~v129(constB198, 1)) <=> v127(constB197, 1)) | ((~v129(constB198, 0)) <=> v127(constB197, 0))) | (~((~v129(constB198, 0)) <=> v127(constB197, 0)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35077,plain,
% 7.65/5.89 (~((~v129(constB198, 0)) <=> v127(constB197, 0))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35076, 34472])).
% 7.65/5.89 tff(35078,plain,
% 7.65/5.89 ((((~v127(constB197, 2)) <=> v130(constB197, 2)) | ((~v127(constB197, 1)) <=> v130(constB197, 1)) | ((~v127(constB197, 0)) <=> v130(constB197, 0))) | (~((~v127(constB197, 0)) <=> v130(constB197, 0)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35079,plain,
% 7.65/5.89 (~((~v127(constB197, 0)) <=> v130(constB197, 0))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35078, 34486])).
% 7.65/5.89 tff(35080,plain,
% 7.65/5.89 ((v130(constB197, 2) | v130(constB197, 0) | (~v130(constB197, 1))) | (~v130(constB197, 0))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35081,plain,
% 7.65/5.89 (~v130(constB197, 0)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35080, 34953])).
% 7.65/5.89 tff(35082,plain,
% 7.65/5.89 (((~v127(constB197, 0)) <=> v130(constB197, 0)) | (~v127(constB197, 0)) | v130(constB197, 0)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35083,plain,
% 7.65/5.89 (~v127(constB197, 0)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35082, 35081, 35079])).
% 7.65/5.89 tff(35084,plain,
% 7.65/5.89 (((~v129(constB198, 0)) <=> v127(constB197, 0)) | (~v129(constB198, 0)) | v127(constB197, 0)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35085,plain,
% 7.65/5.89 (~v129(constB198, 0)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35084, 35083, 35077])).
% 7.65/5.89 tff(35086,plain,
% 7.65/5.89 ((((~v90(constB198, 0)) <=> v129(constB198, 0)) | ((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1))) | (~((~v90(constB198, 0)) <=> v129(constB198, 0)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35087,plain,
% 7.65/5.89 (~((~v90(constB198, 0)) <=> v129(constB198, 0))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35086, 35063])).
% 7.65/5.89 tff(35088,plain,
% 7.65/5.89 (((~v90(constB198, 0)) <=> v129(constB198, 0)) | (~v90(constB198, 0)) | v129(constB198, 0)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35089,plain,
% 7.65/5.89 (~v90(constB198, 0)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35088, 35087, 35085])).
% 7.65/5.89 tff(35090,plain,
% 7.65/5.89 (((~v90(constB199, 0)) <=> v90(constB198, 0)) | (~v90(constB199, 0)) | v90(constB198, 0)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35091,plain,
% 7.65/5.89 (~v90(constB199, 0)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35090, 35089, 35075])).
% 7.65/5.89 tff(35092,plain,
% 7.65/5.89 (((~v88(constB199, 0)) <=> v90(constB199, 0)) | (~v88(constB199, 0)) | v90(constB199, 0)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35093,plain,
% 7.65/5.89 (~v88(constB199, 0)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35092, 35091, 35073])).
% 7.65/5.89 tff(35094,plain,
% 7.65/5.89 ((((~v88(constB199, 1)) <=> v90(constB199, 1)) | ((~v88(constB199, 2)) <=> v90(constB199, 2)) | ((~v88(constB199, 0)) <=> v90(constB199, 0))) | (~((~v88(constB199, 1)) <=> v90(constB199, 1)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35095,plain,
% 7.65/5.89 (~((~v88(constB199, 1)) <=> v90(constB199, 1))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35094, 34427])).
% 7.65/5.89 tff(35096,plain,
% 7.65/5.89 ((((~v90(constB199, 1)) <=> v90(constB198, 1)) | ((~v90(constB199, 2)) <=> v90(constB198, 2)) | ((~v90(constB199, 0)) <=> v90(constB198, 0))) | (~((~v90(constB199, 1)) <=> v90(constB198, 1)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35097,plain,
% 7.65/5.89 (~((~v90(constB199, 1)) <=> v90(constB198, 1))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35096, 34463])).
% 7.65/5.89 tff(35098,plain,
% 7.65/5.89 ((((~v129(constB198, 2)) <=> v127(constB197, 2)) | ((~v129(constB198, 1)) <=> v127(constB197, 1)) | ((~v129(constB198, 0)) <=> v127(constB197, 0))) | (~((~v129(constB198, 1)) <=> v127(constB197, 1)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35099,plain,
% 7.65/5.89 (~((~v129(constB198, 1)) <=> v127(constB197, 1))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35098, 34472])).
% 7.65/5.89 tff(35100,plain,
% 7.65/5.89 ((((~v127(constB197, 2)) <=> v130(constB197, 2)) | ((~v127(constB197, 1)) <=> v130(constB197, 1)) | ((~v127(constB197, 0)) <=> v130(constB197, 0))) | (~((~v127(constB197, 1)) <=> v130(constB197, 1)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35101,plain,
% 7.65/5.89 (~((~v127(constB197, 1)) <=> v130(constB197, 1))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35100, 34486])).
% 7.65/5.89 tff(35102,plain,
% 7.65/5.89 ((v130(constB197, 2) | v130(constB197, 0) | (~v130(constB197, 1))) | v130(constB197, 1)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35103,plain,
% 7.65/5.89 (v130(constB197, 1)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35102, 34953])).
% 7.65/5.89 tff(35104,plain,
% 7.65/5.89 (((~v127(constB197, 1)) <=> v130(constB197, 1)) | v127(constB197, 1) | (~v130(constB197, 1))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35105,plain,
% 7.65/5.89 (v127(constB197, 1)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35104, 35103, 35101])).
% 7.65/5.89 tff(35106,plain,
% 7.65/5.89 (((~v129(constB198, 1)) <=> v127(constB197, 1)) | v129(constB198, 1) | (~v127(constB197, 1))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35107,plain,
% 7.65/5.89 (v129(constB198, 1)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35106, 35105, 35099])).
% 7.65/5.89 tff(35108,plain,
% 7.65/5.89 ((((~v90(constB198, 0)) <=> v129(constB198, 0)) | ((~v90(constB198, 2)) <=> v129(constB198, 2)) | ((~v90(constB198, 1)) <=> v129(constB198, 1))) | (~((~v90(constB198, 1)) <=> v129(constB198, 1)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35109,plain,
% 7.65/5.89 (~((~v90(constB198, 1)) <=> v129(constB198, 1))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35108, 35063])).
% 7.65/5.89 tff(35110,plain,
% 7.65/5.89 (((~v90(constB198, 1)) <=> v129(constB198, 1)) | v90(constB198, 1) | (~v129(constB198, 1))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35111,plain,
% 7.65/5.89 (v90(constB198, 1)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35110, 35109, 35107])).
% 7.65/5.89 tff(35112,plain,
% 7.65/5.89 (((~v90(constB199, 1)) <=> v90(constB198, 1)) | v90(constB199, 1) | (~v90(constB198, 1))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35113,plain,
% 7.65/5.89 (v90(constB199, 1)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35112, 35111, 35097])).
% 7.65/5.89 tff(35114,plain,
% 7.65/5.89 (((~v88(constB199, 1)) <=> v90(constB199, 1)) | v88(constB199, 1) | (~v90(constB199, 1))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35115,plain,
% 7.65/5.89 (v88(constB199, 1)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35114, 35113, 35095])).
% 7.65/5.89 tff(35116,plain,
% 7.65/5.89 ((~((~v88(constB199, 1)) | v88(constB199, 2) | v88(constB199, 0))) | (~v88(constB199, 1)) | v88(constB199, 2) | v88(constB199, 0)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35117,plain,
% 7.65/5.89 (~((~v88(constB199, 1)) | v88(constB199, 2) | v88(constB199, 0))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35116, 35115, 35093, 35071])).
% 7.65/5.89 tff(35118,plain,
% 7.65/5.89 ((~(v143(constB199) <=> (~((~v88(constB199, 1)) | v88(constB199, 2) | v88(constB199, 0))))) | v143(constB199) | ((~v88(constB199, 1)) | v88(constB199, 2) | v88(constB199, 0))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35119,plain,
% 7.65/5.89 (v143(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35118, 35117, 34425])).
% 7.65/5.89 tff(35120,plain,
% 7.65/5.89 ((v143(constB199) | v144(constB199)) | (~v143(constB199))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35121,plain,
% 7.65/5.89 (v143(constB199) | v144(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35120, 35119])).
% 7.65/5.89 tff(35122,plain,
% 7.65/5.89 ((~(v142(constB199) <=> (v143(constB199) | v144(constB199)))) | v142(constB199) | (~(v143(constB199) | v144(constB199)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35123,plain,
% 7.65/5.89 (v142(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35122, 35121, 34418])).
% 7.65/5.89 tff(35124,plain,
% 7.65/5.89 ((v137(constB199) | v142(constB199)) | (~v142(constB199))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35125,plain,
% 7.65/5.89 (v137(constB199) | v142(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35124, 35123])).
% 7.65/5.89 tff(35126,plain,
% 7.65/5.89 ((~(v136(constB199) <=> (v137(constB199) | v142(constB199)))) | v136(constB199) | (~(v137(constB199) | v142(constB199)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35127,plain,
% 7.65/5.89 ((~(v136(constB199) <=> (v137(constB199) | v142(constB199)))) | v136(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35126, 35125])).
% 7.65/5.89 tff(35128,plain,
% 7.65/5.89 (v136(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35127, 34416])).
% 7.65/5.89 tff(35129,plain,
% 7.65/5.89 ((v136(constB199) | v145(constB199)) | (~v136(constB199))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35130,plain,
% 7.65/5.89 (v136(constB199) | v145(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35129, 35128])).
% 7.65/5.89 tff(35131,plain,
% 7.65/5.89 ((~(v135(constB199) <=> (v136(constB199) | v145(constB199)))) | v135(constB199) | (~(v136(constB199) | v145(constB199)))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35132,plain,
% 7.65/5.89 (v135(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35131, 35130, 34414])).
% 7.65/5.89 tff(35133,plain,
% 7.65/5.89 (((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB199)) | (v86(constB199) <=> v148(constB199)))) <=> ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB199)) | (v86(constB199) <=> v148(constB199)))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35134,plain,
% 7.65/5.89 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB199)) | (v86(constB199) <=> v148(constB199)))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35135,plain,
% 7.65/5.89 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB199)) | (v86(constB199) <=> v148(constB199))),
% 7.65/5.89 inference(modus_ponens,[status(thm)],[35134, 35133])).
% 7.65/5.89 tff(35136,plain,
% 7.65/5.89 (v86(constB199) <=> v148(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35135, 15057, 35132])).
% 7.65/5.89 tff(35137,plain,
% 7.65/5.89 (((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB199) | (~v142(constB199)))) <=> ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB199) | (~v142(constB199)))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35138,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB199) | (~v142(constB199)))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35139,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB199) | (~v142(constB199))),
% 7.65/5.89 inference(modus_ponens,[status(thm)],[35138, 35137])).
% 7.65/5.89 tff(35140,plain,
% 7.65/5.89 (v148(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35139, 15071, 35123])).
% 7.65/5.89 tff(35141,plain,
% 7.65/5.89 ((~(v86(constB199) <=> v148(constB199))) | v86(constB199) | (~v148(constB199))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35142,plain,
% 7.65/5.89 ((~(v86(constB199) <=> v148(constB199))) | v86(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35141, 35140])).
% 7.65/5.89 tff(35143,plain,
% 7.65/5.89 (v86(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35142, 35136])).
% 7.65/5.89 tff(35144,plain,
% 7.65/5.89 ((~(v84(constB199) <=> v86(constB199))) | v84(constB199) | (~v86(constB199))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35145,plain,
% 7.65/5.89 ((~(v84(constB199) <=> v86(constB199))) | v84(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35144, 35143])).
% 7.65/5.89 tff(35146,plain,
% 7.65/5.89 (v84(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35145, 34412])).
% 7.65/5.89 tff(35147,plain,
% 7.65/5.89 ((~((~v204(constB199)) <=> v84(constB199))) | (~v204(constB199)) | (~v84(constB199))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35148,plain,
% 7.65/5.89 ((~((~v204(constB199)) <=> v84(constB199))) | (~v204(constB199))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35147, 35146])).
% 7.65/5.89 tff(35149,plain,
% 7.65/5.89 (~v204(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35148, 34410])).
% 7.65/5.89 tff(35150,plain,
% 7.65/5.89 (((~v185(constB199)) | (~v204(constB199))) | v204(constB199)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35151,plain,
% 7.65/5.89 ((~v185(constB199)) | (~v204(constB199))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35150, 35149])).
% 7.65/5.89 tff(35152,plain,
% 7.65/5.89 ((~(v203(constB199) <=> (~((~v185(constB199)) | (~v204(constB199)))))) | (~v203(constB199)) | (~((~v185(constB199)) | (~v204(constB199))))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35153,plain,
% 7.65/5.89 (~v203(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35152, 35151, 34408])).
% 7.65/5.89 tff(35154,plain,
% 7.65/5.89 (((~v183(constB199)) | (~v203(constB199))) | v203(constB199)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35155,plain,
% 7.65/5.89 ((~v183(constB199)) | (~v203(constB199))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35154, 35153])).
% 7.65/5.89 tff(35156,plain,
% 7.65/5.89 ((~(v202(constB199) <=> (~((~v183(constB199)) | (~v203(constB199)))))) | (~v202(constB199)) | (~((~v183(constB199)) | (~v203(constB199))))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35157,plain,
% 7.65/5.89 (~v202(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35156, 35155, 34401])).
% 7.65/5.89 tff(35158,plain,
% 7.65/5.89 (((~v157(constB199)) | (~v202(constB199))) | v202(constB199)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35159,plain,
% 7.65/5.89 ((~v157(constB199)) | (~v202(constB199))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35158, 35157])).
% 7.65/5.89 tff(35160,plain,
% 7.65/5.89 ((~(v201(constB199) <=> (~((~v157(constB199)) | (~v202(constB199)))))) | (~v201(constB199)) | (~((~v157(constB199)) | (~v202(constB199))))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35161,plain,
% 7.65/5.89 (~v201(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35160, 35159, 34399])).
% 7.65/5.89 tff(35162,plain,
% 7.65/5.89 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB199) <=> (~((~v159(constB199)) | (~v202(constB199)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB199) <=> (~((~v159(constB199)) | (~v202(constB199))))))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35163,plain,
% 7.65/5.89 ((v205(constB199) <=> (~((~v202(constB199)) | (~v159(constB199))))) <=> (v205(constB199) <=> (~((~v159(constB199)) | (~v202(constB199)))))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35164,plain,
% 7.65/5.89 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB199) <=> (~((~v202(constB199)) | (~v159(constB199)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB199) <=> (~((~v159(constB199)) | (~v202(constB199))))))),
% 7.65/5.89 inference(monotonicity,[status(thm)],[35163])).
% 7.65/5.89 tff(35165,plain,
% 7.65/5.89 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB199) <=> (~((~v202(constB199)) | (~v159(constB199)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB199) <=> (~((~v159(constB199)) | (~v202(constB199))))))),
% 7.65/5.89 inference(transitivity,[status(thm)],[35164, 35162])).
% 7.65/5.89 tff(35166,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB199) <=> (~((~v202(constB199)) | (~v159(constB199)))))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35167,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB199) <=> (~((~v159(constB199)) | (~v202(constB199)))))),
% 7.65/5.89 inference(modus_ponens,[status(thm)],[35166, 35165])).
% 7.65/5.89 tff(35168,plain,
% 7.65/5.89 (v205(constB199) <=> (~((~v159(constB199)) | (~v202(constB199))))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35167, 138])).
% 7.65/5.89 tff(35169,plain,
% 7.65/5.89 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB199) <=> v182(constB199))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35170,plain,
% 7.65/5.89 (v159(constB199) <=> v182(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35169, 15113])).
% 7.65/5.89 tff(35171,plain,
% 7.65/5.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB198, constB199)) | (v182(constB199) <=> v180(constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB198, constB199)) | (v182(constB199) <=> v180(constB198)))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35172,plain,
% 7.65/5.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB198, constB199)) | (v182(constB199) <=> v180(constB198)))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35173,plain,
% 7.65/5.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB198, constB199)) | (v182(constB199) <=> v180(constB198))),
% 7.65/5.89 inference(modus_ponens,[status(thm)],[35172, 35171])).
% 7.65/5.89 tff(35174,plain,
% 7.65/5.89 (v182(constB199) <=> v180(constB198)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35173, 34432, 15125])).
% 7.65/5.89 tff(35175,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB198) <=> (~((~v183(constB198)) | (~v184(constB198)))))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35176,plain,
% 7.65/5.89 (v180(constB198) <=> (~((~v183(constB198)) | (~v184(constB198))))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35175, 15139])).
% 7.65/5.89 tff(35177,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB198) <=> (~((~v185(constB198)) | (~v161(constB198)))))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35178,plain,
% 7.65/5.89 (v184(constB198) <=> (~((~v185(constB198)) | (~v161(constB198))))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35177, 15151])).
% 7.65/5.89 tff(35179,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35180,plain,
% 7.65/5.89 (v185(constB198) <=> (~((~v39(constB198)) | (~v9(constB198))))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35179, 93])).
% 7.65/5.89 tff(35181,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB198)) <=> v1(constB198))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35182,plain,
% 7.65/5.89 ((~v39(constB198)) <=> v1(constB198)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35181, 102])).
% 7.65/5.89 tff(35183,plain,
% 7.65/5.89 ((~((~v39(constB198)) <=> v1(constB198))) | (~v39(constB198)) | (~v1(constB198))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35184,plain,
% 7.65/5.89 ((~((~v39(constB198)) <=> v1(constB198))) | (~v39(constB198))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35183, 34986])).
% 7.65/5.89 tff(35185,plain,
% 7.65/5.89 (~v39(constB198)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35184, 35182])).
% 7.65/5.89 tff(35186,plain,
% 7.65/5.89 (((~v39(constB198)) | (~v9(constB198))) | v39(constB198)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35187,plain,
% 7.65/5.89 ((~v39(constB198)) | (~v9(constB198))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35186, 35185])).
% 7.65/5.89 tff(35188,plain,
% 7.65/5.89 ((~(v185(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))) | (~v185(constB198)) | (~((~v39(constB198)) | (~v9(constB198))))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35189,plain,
% 7.65/5.89 ((~(v185(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))) | (~v185(constB198))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35188, 35187])).
% 7.65/5.89 tff(35190,plain,
% 7.65/5.89 (~v185(constB198)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35189, 35180])).
% 7.65/5.89 tff(35191,plain,
% 7.65/5.89 (((~v185(constB198)) | (~v161(constB198))) | v185(constB198)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35192,plain,
% 7.65/5.89 ((~v185(constB198)) | (~v161(constB198))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35191, 35190])).
% 7.65/5.89 tff(35193,plain,
% 7.65/5.89 ((~(v184(constB198) <=> (~((~v185(constB198)) | (~v161(constB198)))))) | (~v184(constB198)) | (~((~v185(constB198)) | (~v161(constB198))))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35194,plain,
% 7.65/5.89 ((~(v184(constB198) <=> (~((~v185(constB198)) | (~v161(constB198)))))) | (~v184(constB198))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35193, 35192])).
% 7.65/5.89 tff(35195,plain,
% 7.65/5.89 (~v184(constB198)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35194, 35178])).
% 7.65/5.89 tff(35196,plain,
% 7.65/5.89 (((~v183(constB198)) | (~v184(constB198))) | v184(constB198)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35197,plain,
% 7.65/5.89 ((~v183(constB198)) | (~v184(constB198))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35196, 35195])).
% 7.65/5.89 tff(35198,plain,
% 7.65/5.89 ((~(v180(constB198) <=> (~((~v183(constB198)) | (~v184(constB198)))))) | (~v180(constB198)) | (~((~v183(constB198)) | (~v184(constB198))))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35199,plain,
% 7.65/5.89 (~v180(constB198)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35198, 35197, 35176])).
% 7.65/5.89 tff(35200,plain,
% 7.65/5.89 ((~(v182(constB199) <=> v180(constB198))) | (~v182(constB199)) | v180(constB198)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35201,plain,
% 7.65/5.89 (~v182(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35200, 35199, 35174])).
% 7.65/5.89 tff(35202,plain,
% 7.65/5.89 ((~(v159(constB199) <=> v182(constB199))) | (~v159(constB199)) | v182(constB199)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35203,plain,
% 7.65/5.89 (~v159(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35202, 35201, 35170])).
% 7.65/5.89 tff(35204,plain,
% 7.65/5.89 (((~v159(constB199)) | (~v202(constB199))) | v159(constB199)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35205,plain,
% 7.65/5.89 ((~v159(constB199)) | (~v202(constB199))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35204, 35203])).
% 7.65/5.89 tff(35206,plain,
% 7.65/5.89 ((~(v205(constB199) <=> (~((~v159(constB199)) | (~v202(constB199)))))) | (~v205(constB199)) | (~((~v159(constB199)) | (~v202(constB199))))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35207,plain,
% 7.65/5.89 (~v205(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35206, 35205, 35168])).
% 7.65/5.89 tff(35208,plain,
% 7.65/5.89 ((~(v201(constB199) | v205(constB199))) | v201(constB199) | v205(constB199)),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35209,plain,
% 7.65/5.89 ((~(v201(constB199) | v205(constB199))) | v201(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35208, 35207])).
% 7.65/5.89 tff(35210,plain,
% 7.65/5.89 (~(v201(constB199) | v205(constB199))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35209, 35161])).
% 7.65/5.89 tff(35211,plain,
% 7.65/5.89 ((~(v200(constB199) <=> (v201(constB199) | v205(constB199)))) | (~v200(constB199)) | (v201(constB199) | v205(constB199))),
% 7.65/5.89 inference(tautology,[status(thm)],[])).
% 7.65/5.89 tff(35212,plain,
% 7.65/5.89 (~v200(constB199)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35211, 35210, 34392])).
% 7.65/5.89 tff(35213,plain,
% 7.65/5.89 ($false),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35212, 34390])).
% 7.65/5.89 tff(35214,plain,(~(constB199 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.65/5.89 tff(35215,assumption,(constB67 = VarCurr!0), introduced(assumption)).
% 7.65/5.89 tff(35216,plain,
% 7.65/5.89 (v200(constB67) <=> v200(VarCurr!0)),
% 7.65/5.89 inference(monotonicity,[status(thm)],[35215])).
% 7.65/5.89 tff(35217,plain,
% 7.65/5.89 (v200(VarCurr!0) <=> v200(constB67)),
% 7.65/5.89 inference(symmetry,[status(thm)],[35216])).
% 7.65/5.89 tff(35218,plain,
% 7.65/5.89 (v200(constB67)),
% 7.65/5.89 inference(modus_ponens,[status(thm)],[27, 35217])).
% 7.65/5.89 tff(35219,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB67) <=> (v201(constB67) | v205(constB67)))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35220,plain,
% 7.65/5.89 (v200(constB67) <=> (v201(constB67) | v205(constB67))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35219, 35])).
% 7.65/5.89 tff(35221,plain,
% 7.65/5.89 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB67) <=> (~((~v157(constB67)) | (~v202(constB67)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB67) <=> (~((~v157(constB67)) | (~v202(constB67))))))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35222,plain,
% 7.65/5.89 ((v201(constB67) <=> (~((~v202(constB67)) | (~v157(constB67))))) <=> (v201(constB67) <=> (~((~v157(constB67)) | (~v202(constB67)))))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35223,plain,
% 7.65/5.89 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB67) <=> (~((~v202(constB67)) | (~v157(constB67)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB67) <=> (~((~v157(constB67)) | (~v202(constB67))))))),
% 7.65/5.89 inference(monotonicity,[status(thm)],[35222])).
% 7.65/5.89 tff(35224,plain,
% 7.65/5.89 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB67) <=> (~((~v202(constB67)) | (~v157(constB67)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB67) <=> (~((~v157(constB67)) | (~v202(constB67))))))),
% 7.65/5.89 inference(transitivity,[status(thm)],[35223, 35221])).
% 7.65/5.89 tff(35225,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB67) <=> (~((~v202(constB67)) | (~v157(constB67)))))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35226,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB67) <=> (~((~v157(constB67)) | (~v202(constB67)))))),
% 7.65/5.89 inference(modus_ponens,[status(thm)],[35225, 35224])).
% 7.65/5.89 tff(35227,plain,
% 7.65/5.89 (v201(constB67) <=> (~((~v157(constB67)) | (~v202(constB67))))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35226, 47])).
% 7.65/5.89 tff(35228,plain,
% 7.65/5.89 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB67) <=> v192(constB67))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35229,plain,
% 7.65/5.89 (v157(constB67) <=> v192(constB67)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35228, 15407])).
% 7.65/5.89 tff(35230,plain,
% 7.65/5.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB66, constB67)) | (v192(constB67) <=> v190(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB66, constB67)) | (v192(constB67) <=> v190(constB66)))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35231,plain,
% 7.65/5.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB66, constB67)) | (v192(constB67) <=> v190(constB66)))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35232,plain,
% 7.65/5.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB66, constB67)) | (v192(constB67) <=> v190(constB66))),
% 7.65/5.89 inference(modus_ponens,[status(thm)],[35231, 35230])).
% 7.65/5.89 tff(35233,plain,
% 7.65/5.89 (v192(constB67) <=> v190(constB66)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35232, 2394, 15419])).
% 7.65/5.89 tff(35234,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB66) <=> (v193(constB66) | v196(constB66)))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35235,plain,
% 7.65/5.89 (v190(constB66) <=> (v193(constB66) | v196(constB66))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35234, 15430])).
% 7.65/5.89 tff(35236,plain,
% 7.65/5.89 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB66) <=> (~((~v157(constB66)) | (~v194(constB66)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB66) <=> (~((~v157(constB66)) | (~v194(constB66))))))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35237,plain,
% 7.65/5.89 ((v193(constB66) <=> (~((~v194(constB66)) | (~v157(constB66))))) <=> (v193(constB66) <=> (~((~v157(constB66)) | (~v194(constB66)))))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35238,plain,
% 7.65/5.89 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB66) <=> (~((~v194(constB66)) | (~v157(constB66)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB66) <=> (~((~v157(constB66)) | (~v194(constB66))))))),
% 7.65/5.89 inference(monotonicity,[status(thm)],[35237])).
% 7.65/5.89 tff(35239,plain,
% 7.65/5.89 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB66) <=> (~((~v194(constB66)) | (~v157(constB66)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB66) <=> (~((~v157(constB66)) | (~v194(constB66))))))),
% 7.65/5.89 inference(transitivity,[status(thm)],[35238, 35236])).
% 7.65/5.89 tff(35240,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB66) <=> (~((~v194(constB66)) | (~v157(constB66)))))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35241,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB66) <=> (~((~v157(constB66)) | (~v194(constB66)))))),
% 7.65/5.89 inference(modus_ponens,[status(thm)],[35240, 35239])).
% 7.65/5.89 tff(35242,plain,
% 7.65/5.89 (v193(constB66) <=> (~((~v157(constB66)) | (~v194(constB66))))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35241, 15442])).
% 7.65/5.89 tff(35243,plain,
% 7.65/5.89 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB66) <=> v192(constB66))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35244,plain,
% 7.65/5.89 (v157(constB66) <=> v192(constB66)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35243, 15407])).
% 7.65/5.89 tff(35245,plain,
% 7.65/5.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB65, constB66)) | (v192(constB66) <=> v190(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB65, constB66)) | (v192(constB66) <=> v190(constB65)))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35246,plain,
% 7.65/5.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB65, constB66)) | (v192(constB66) <=> v190(constB65)))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35247,plain,
% 7.65/5.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB65, constB66)) | (v192(constB66) <=> v190(constB65))),
% 7.65/5.89 inference(modus_ponens,[status(thm)],[35246, 35245])).
% 7.65/5.89 tff(35248,plain,
% 7.65/5.89 (v192(constB66) <=> v190(constB65)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35247, 2430, 15419])).
% 7.65/5.89 tff(35249,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB65) <=> (v193(constB65) | v196(constB65)))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35250,plain,
% 7.65/5.89 (v190(constB65) <=> (v193(constB65) | v196(constB65))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35249, 15430])).
% 7.65/5.89 tff(35251,plain,
% 7.65/5.89 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB65) <=> (~((~v159(constB65)) | (~v194(constB65)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB65) <=> (~((~v159(constB65)) | (~v194(constB65))))))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35252,plain,
% 7.65/5.89 ((v196(constB65) <=> (~((~v194(constB65)) | (~v159(constB65))))) <=> (v196(constB65) <=> (~((~v159(constB65)) | (~v194(constB65)))))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35253,plain,
% 7.65/5.89 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB65) <=> (~((~v194(constB65)) | (~v159(constB65)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB65) <=> (~((~v159(constB65)) | (~v194(constB65))))))),
% 7.65/5.89 inference(monotonicity,[status(thm)],[35252])).
% 7.65/5.89 tff(35254,plain,
% 7.65/5.89 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB65) <=> (~((~v194(constB65)) | (~v159(constB65)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB65) <=> (~((~v159(constB65)) | (~v194(constB65))))))),
% 7.65/5.89 inference(transitivity,[status(thm)],[35253, 35251])).
% 7.65/5.89 tff(35255,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB65) <=> (~((~v194(constB65)) | (~v159(constB65)))))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35256,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB65) <=> (~((~v159(constB65)) | (~v194(constB65)))))),
% 7.65/5.89 inference(modus_ponens,[status(thm)],[35255, 35254])).
% 7.65/5.89 tff(35257,plain,
% 7.65/5.89 (v196(constB65) <=> (~((~v159(constB65)) | (~v194(constB65))))),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35256, 15467])).
% 7.65/5.89 tff(35258,plain,
% 7.65/5.89 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB65) <=> v182(constB65))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35259,plain,
% 7.65/5.89 (v159(constB65) <=> v182(constB65)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35258, 15113])).
% 7.65/5.89 tff(35260,plain,
% 7.65/5.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB64, constB65)) | (v182(constB65) <=> v180(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB64, constB65)) | (v182(constB65) <=> v180(constB64)))),
% 7.65/5.89 inference(rewrite,[status(thm)],[])).
% 7.65/5.89 tff(35261,plain,
% 7.65/5.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB64, constB65)) | (v182(constB65) <=> v180(constB64)))),
% 7.65/5.89 inference(quant_inst,[status(thm)],[])).
% 7.65/5.89 tff(35262,plain,
% 7.65/5.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB64, constB65)) | (v182(constB65) <=> v180(constB64))),
% 7.65/5.89 inference(modus_ponens,[status(thm)],[35261, 35260])).
% 7.65/5.89 tff(35263,plain,
% 7.65/5.89 (v182(constB65) <=> v180(constB64)),
% 7.65/5.89 inference(unit_resolution,[status(thm)],[35262, 2455, 15125])).
% 7.65/5.89 tff(35264,plain,
% 7.65/5.89 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB64) <=> (~((~v183(constB64)) | (~v184(constB64)))))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35265,plain,
% 7.65/5.90 (v180(constB64) <=> (~((~v183(constB64)) | (~v184(constB64))))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35264, 15139])).
% 7.65/5.90 tff(35266,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB64) <=> (~((~v185(constB64)) | (~v161(constB64)))))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35267,plain,
% 7.65/5.90 (v184(constB64) <=> (~((~v185(constB64)) | (~v161(constB64))))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35266, 15151])).
% 7.65/5.90 tff(35268,plain,
% 7.65/5.90 (((~v185(constB64)) | (~v161(constB64))) | v185(constB64)),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35269,plain,
% 7.65/5.90 ((~v185(constB64)) | (~v161(constB64))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35268, 25926])).
% 7.65/5.90 tff(35270,plain,
% 7.65/5.90 ((~(v184(constB64) <=> (~((~v185(constB64)) | (~v161(constB64)))))) | (~v184(constB64)) | (~((~v185(constB64)) | (~v161(constB64))))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35271,plain,
% 7.65/5.90 ((~(v184(constB64) <=> (~((~v185(constB64)) | (~v161(constB64)))))) | (~v184(constB64))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35270, 35269])).
% 7.65/5.90 tff(35272,plain,
% 7.65/5.90 (~v184(constB64)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35271, 35267])).
% 7.65/5.90 tff(35273,plain,
% 7.65/5.90 (((~v183(constB64)) | (~v184(constB64))) | v184(constB64)),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35274,plain,
% 7.65/5.90 ((~v183(constB64)) | (~v184(constB64))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35273, 35272])).
% 7.65/5.90 tff(35275,plain,
% 7.65/5.90 ((~(v180(constB64) <=> (~((~v183(constB64)) | (~v184(constB64)))))) | (~v180(constB64)) | (~((~v183(constB64)) | (~v184(constB64))))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35276,plain,
% 7.65/5.90 (~v180(constB64)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35275, 35274, 35265])).
% 7.65/5.90 tff(35277,plain,
% 7.65/5.90 ((~(v182(constB65) <=> v180(constB64))) | (~v182(constB65)) | v180(constB64)),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35278,plain,
% 7.65/5.90 (~v182(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35277, 35276, 35263])).
% 7.65/5.90 tff(35279,plain,
% 7.65/5.90 ((~(v159(constB65) <=> v182(constB65))) | (~v159(constB65)) | v182(constB65)),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35280,plain,
% 7.65/5.90 (~v159(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35279, 35278, 35259])).
% 7.65/5.90 tff(35281,plain,
% 7.65/5.90 (((~v159(constB65)) | (~v194(constB65))) | v159(constB65)),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35282,plain,
% 7.65/5.90 ((~v159(constB65)) | (~v194(constB65))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35281, 35280])).
% 7.65/5.90 tff(35283,plain,
% 7.65/5.90 ((~(v196(constB65) <=> (~((~v159(constB65)) | (~v194(constB65)))))) | (~v196(constB65)) | (~((~v159(constB65)) | (~v194(constB65))))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35284,plain,
% 7.65/5.90 (~v196(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35283, 35282, 35257])).
% 7.65/5.90 tff(35285,plain,
% 7.65/5.90 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB65) <=> (~((~v157(constB65)) | (~v194(constB65)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB65) <=> (~((~v157(constB65)) | (~v194(constB65))))))),
% 7.65/5.90 inference(rewrite,[status(thm)],[])).
% 7.65/5.90 tff(35286,plain,
% 7.65/5.90 ((v193(constB65) <=> (~((~v194(constB65)) | (~v157(constB65))))) <=> (v193(constB65) <=> (~((~v157(constB65)) | (~v194(constB65)))))),
% 7.65/5.90 inference(rewrite,[status(thm)],[])).
% 7.65/5.90 tff(35287,plain,
% 7.65/5.90 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB65) <=> (~((~v194(constB65)) | (~v157(constB65)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB65) <=> (~((~v157(constB65)) | (~v194(constB65))))))),
% 7.65/5.90 inference(monotonicity,[status(thm)],[35286])).
% 7.65/5.90 tff(35288,plain,
% 7.65/5.90 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB65) <=> (~((~v194(constB65)) | (~v157(constB65)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB65) <=> (~((~v157(constB65)) | (~v194(constB65))))))),
% 7.65/5.90 inference(transitivity,[status(thm)],[35287, 35285])).
% 7.65/5.90 tff(35289,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB65) <=> (~((~v194(constB65)) | (~v157(constB65)))))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35290,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB65) <=> (~((~v157(constB65)) | (~v194(constB65)))))),
% 7.65/5.90 inference(modus_ponens,[status(thm)],[35289, 35288])).
% 7.65/5.90 tff(35291,plain,
% 7.65/5.90 (v193(constB65) <=> (~((~v157(constB65)) | (~v194(constB65))))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35290, 15442])).
% 7.65/5.90 tff(35292,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB65)) <=> v195(constB65))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35293,plain,
% 7.65/5.90 ((~v194(constB65)) <=> v195(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35292, 15527])).
% 7.65/5.90 tff(35294,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB65) <=> (v185(constB65) | v26(constB65)))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35295,plain,
% 7.65/5.90 (v195(constB65) <=> (v185(constB65) | v26(constB65))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35294, 15536])).
% 7.65/5.90 tff(35296,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35297,plain,
% 7.65/5.90 (v185(constB65) <=> (~((~v39(constB65)) | (~v9(constB65))))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35296, 93])).
% 7.65/5.90 tff(35298,plain,
% 7.65/5.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65)))),
% 7.65/5.90 inference(rewrite,[status(thm)],[])).
% 7.65/5.90 tff(35299,plain,
% 7.65/5.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65)))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35300,plain,
% 7.65/5.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65))),
% 7.65/5.90 inference(modus_ponens,[status(thm)],[35299, 35298])).
% 7.65/5.90 tff(35301,plain,
% 7.65/5.90 (v13(constB66) <=> v9(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35300, 2430, 15550])).
% 7.65/5.90 tff(35302,plain,
% 7.65/5.90 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB66) <=> v13(constB66))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35303,plain,
% 7.65/5.90 (v6(constB66) <=> v13(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35302, 15564])).
% 7.65/5.90 tff(35304,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB66)) <=> v6(constB66))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35305,plain,
% 7.65/5.90 ((~v21(constB66)) <=> v6(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35304, 15573])).
% 7.65/5.90 tff(35306,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB66) <=> (v20(constB66) | v21(constB66)))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35307,plain,
% 7.65/5.90 (v19(constB66) <=> (v20(constB66) | v21(constB66))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35306, 15582])).
% 7.65/5.90 tff(35308,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35309,plain,
% 7.65/5.90 (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66))))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35308, 15594])).
% 7.65/5.90 tff(35310,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB66)) <=> v18(constB66))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35311,plain,
% 7.65/5.90 ((~v4(constB66)) <=> v18(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35310, 15603])).
% 7.65/5.90 tff(35312,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB66)),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35313,plain,
% 7.65/5.90 (v4(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35312, 15612])).
% 7.65/5.90 tff(35314,plain,
% 7.65/5.90 ((~((~v4(constB66)) <=> v18(constB66))) | (~v4(constB66)) | (~v18(constB66))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35315,plain,
% 7.65/5.90 (~v18(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35314, 35313, 35311])).
% 7.65/5.90 tff(35316,plain,
% 7.65/5.90 ((~(v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))) | v18(constB66) | ((~v19(constB66)) | (~v22(constB66)))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35317,plain,
% 7.65/5.90 ((~v19(constB66)) | (~v22(constB66))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35316, 35315, 35309])).
% 7.65/5.90 tff(35318,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB66) <=> (v1(constB66) | v6(constB66)))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35319,plain,
% 7.65/5.90 (v22(constB66) <=> (v1(constB66) | v6(constB66))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35318, 15625])).
% 7.65/5.90 tff(35320,plain,
% 7.65/5.90 ((v1(constB66) | v6(constB66)) | (~v1(constB66))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35321,plain,
% 7.65/5.90 (v1(constB66) | v6(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35320, 9952])).
% 7.65/5.90 tff(35322,plain,
% 7.65/5.90 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66) | (~(v1(constB66) | v6(constB66)))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35323,plain,
% 7.65/5.90 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35322, 35321])).
% 7.65/5.90 tff(35324,plain,
% 7.65/5.90 (v22(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35323, 35319])).
% 7.65/5.90 tff(35325,plain,
% 7.65/5.90 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66)) | (~v22(constB66))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35326,plain,
% 7.65/5.90 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35325, 35324])).
% 7.65/5.90 tff(35327,plain,
% 7.65/5.90 (~v19(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35326, 35317])).
% 7.65/5.90 tff(35328,plain,
% 7.65/5.90 ((~(v19(constB66) <=> (v20(constB66) | v21(constB66)))) | v19(constB66) | (~(v20(constB66) | v21(constB66)))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35329,plain,
% 7.65/5.90 (~(v20(constB66) | v21(constB66))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35328, 35327, 35307])).
% 7.65/5.90 tff(35330,plain,
% 7.65/5.90 ((v20(constB66) | v21(constB66)) | (~v21(constB66))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35331,plain,
% 7.65/5.90 (~v21(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35330, 35329])).
% 7.65/5.90 tff(35332,plain,
% 7.65/5.90 ((~((~v21(constB66)) <=> v6(constB66))) | v21(constB66) | v6(constB66)),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35333,plain,
% 7.65/5.90 (v6(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35332, 35331, 35305])).
% 7.65/5.90 tff(35334,plain,
% 7.65/5.90 ((~(v6(constB66) <=> v13(constB66))) | (~v6(constB66)) | v13(constB66)),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35335,plain,
% 7.65/5.90 (v13(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35334, 35333, 35303])).
% 7.65/5.90 tff(35336,plain,
% 7.65/5.90 ((~(v13(constB66) <=> v9(constB65))) | (~v13(constB66)) | v9(constB65)),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35337,plain,
% 7.65/5.90 (v9(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35336, 35335, 35301])).
% 7.65/5.90 tff(35338,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB65)) <=> v1(constB65))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35339,plain,
% 7.65/5.90 ((~v39(constB65)) <=> v1(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35338, 102])).
% 7.65/5.90 tff(35340,plain,
% 7.65/5.90 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65) | v1(constB65)),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35341,plain,
% 7.65/5.90 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35340, 2469])).
% 7.65/5.90 tff(35342,plain,
% 7.65/5.90 (v39(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35341, 35339])).
% 7.65/5.90 tff(35343,plain,
% 7.65/5.90 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v39(constB65)) | (~v9(constB65))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35344,plain,
% 7.65/5.90 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v9(constB65))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35343, 35342])).
% 7.65/5.90 tff(35345,plain,
% 7.65/5.90 (~((~v39(constB65)) | (~v9(constB65)))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35344, 35337])).
% 7.65/5.90 tff(35346,plain,
% 7.65/5.90 ((~(v185(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))) | v185(constB65) | ((~v39(constB65)) | (~v9(constB65)))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35347,plain,
% 7.65/5.90 (v185(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35346, 35345, 35297])).
% 7.65/5.90 tff(35348,plain,
% 7.65/5.90 ((v185(constB65) | v26(constB65)) | (~v185(constB65))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35349,plain,
% 7.65/5.90 (v185(constB65) | v26(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35348, 35347])).
% 7.65/5.90 tff(35350,plain,
% 7.65/5.90 ((~(v195(constB65) <=> (v185(constB65) | v26(constB65)))) | v195(constB65) | (~(v185(constB65) | v26(constB65)))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35351,plain,
% 7.65/5.90 (v195(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35350, 35349, 35295])).
% 7.65/5.90 tff(35352,plain,
% 7.65/5.90 ((~((~v194(constB65)) <=> v195(constB65))) | (~v194(constB65)) | (~v195(constB65))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35353,plain,
% 7.65/5.90 (~v194(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35352, 35351, 35293])).
% 7.65/5.90 tff(35354,plain,
% 7.65/5.90 (((~v157(constB65)) | (~v194(constB65))) | v194(constB65)),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35355,plain,
% 7.65/5.90 ((~v157(constB65)) | (~v194(constB65))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35354, 35353])).
% 7.65/5.90 tff(35356,plain,
% 7.65/5.90 ((~(v193(constB65) <=> (~((~v157(constB65)) | (~v194(constB65)))))) | (~v193(constB65)) | (~((~v157(constB65)) | (~v194(constB65))))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35357,plain,
% 7.65/5.90 (~v193(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35356, 35355, 35291])).
% 7.65/5.90 tff(35358,plain,
% 7.65/5.90 ((~(v193(constB65) | v196(constB65))) | v193(constB65) | v196(constB65)),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35359,plain,
% 7.65/5.90 (~(v193(constB65) | v196(constB65))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35358, 35357, 35284])).
% 7.65/5.90 tff(35360,plain,
% 7.65/5.90 ((~(v190(constB65) <=> (v193(constB65) | v196(constB65)))) | (~v190(constB65)) | (v193(constB65) | v196(constB65))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35361,plain,
% 7.65/5.90 (~v190(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35360, 35359, 35250])).
% 7.65/5.90 tff(35362,plain,
% 7.65/5.90 ((~(v192(constB66) <=> v190(constB65))) | (~v192(constB66)) | v190(constB65)),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35363,plain,
% 7.65/5.90 (~v192(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35362, 35361, 35248])).
% 7.65/5.90 tff(35364,plain,
% 7.65/5.90 ((~(v157(constB66) <=> v192(constB66))) | (~v157(constB66)) | v192(constB66)),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35365,plain,
% 7.65/5.90 (~v157(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35364, 35363, 35244])).
% 7.65/5.90 tff(35366,plain,
% 7.65/5.90 (((~v157(constB66)) | (~v194(constB66))) | v157(constB66)),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35367,plain,
% 7.65/5.90 ((~v157(constB66)) | (~v194(constB66))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35366, 35365])).
% 7.65/5.90 tff(35368,plain,
% 7.65/5.90 ((~(v193(constB66) <=> (~((~v157(constB66)) | (~v194(constB66)))))) | (~v193(constB66)) | (~((~v157(constB66)) | (~v194(constB66))))),
% 7.65/5.90 inference(tautology,[status(thm)],[])).
% 7.65/5.90 tff(35369,plain,
% 7.65/5.90 (~v193(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35368, 35367, 35242])).
% 7.65/5.90 tff(35370,plain,
% 7.65/5.90 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB66) <=> (~((~v159(constB66)) | (~v194(constB66)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB66) <=> (~((~v159(constB66)) | (~v194(constB66))))))),
% 7.65/5.90 inference(rewrite,[status(thm)],[])).
% 7.65/5.90 tff(35371,plain,
% 7.65/5.90 ((v196(constB66) <=> (~((~v194(constB66)) | (~v159(constB66))))) <=> (v196(constB66) <=> (~((~v159(constB66)) | (~v194(constB66)))))),
% 7.65/5.90 inference(rewrite,[status(thm)],[])).
% 7.65/5.90 tff(35372,plain,
% 7.65/5.90 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB66) <=> (~((~v194(constB66)) | (~v159(constB66)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB66) <=> (~((~v159(constB66)) | (~v194(constB66))))))),
% 7.65/5.90 inference(monotonicity,[status(thm)],[35371])).
% 7.65/5.90 tff(35373,plain,
% 7.65/5.90 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB66) <=> (~((~v194(constB66)) | (~v159(constB66)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB66) <=> (~((~v159(constB66)) | (~v194(constB66))))))),
% 7.65/5.90 inference(transitivity,[status(thm)],[35372, 35370])).
% 7.65/5.90 tff(35374,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB66) <=> (~((~v194(constB66)) | (~v159(constB66)))))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35375,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB66) <=> (~((~v159(constB66)) | (~v194(constB66)))))),
% 7.65/5.90 inference(modus_ponens,[status(thm)],[35374, 35373])).
% 7.65/5.90 tff(35376,plain,
% 7.65/5.90 (v196(constB66) <=> (~((~v159(constB66)) | (~v194(constB66))))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35375, 15467])).
% 7.65/5.90 tff(35377,plain,
% 7.65/5.90 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB66) <=> v182(constB66))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35378,plain,
% 7.65/5.90 (v159(constB66) <=> v182(constB66)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35377, 15113])).
% 7.65/5.90 tff(35379,plain,
% 7.65/5.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB65, constB66)) | (v182(constB66) <=> v180(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB65, constB66)) | (v182(constB66) <=> v180(constB65)))),
% 7.65/5.90 inference(rewrite,[status(thm)],[])).
% 7.65/5.90 tff(35380,plain,
% 7.65/5.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB65, constB66)) | (v182(constB66) <=> v180(constB65)))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35381,plain,
% 7.65/5.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB65, constB66)) | (v182(constB66) <=> v180(constB65))),
% 7.65/5.90 inference(modus_ponens,[status(thm)],[35380, 35379])).
% 7.65/5.90 tff(35382,plain,
% 7.65/5.90 (v182(constB66) <=> v180(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35381, 2430, 15125])).
% 7.65/5.90 tff(35383,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB65) <=> (~((~v183(constB65)) | (~v184(constB65)))))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35384,plain,
% 7.65/5.90 (v180(constB65) <=> (~((~v183(constB65)) | (~v184(constB65))))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35383, 15139])).
% 7.65/5.90 tff(35385,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB65) <=> (~((~v185(constB65)) | (~v161(constB65)))))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35386,plain,
% 7.65/5.90 (v184(constB65) <=> (~((~v185(constB65)) | (~v161(constB65))))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35385, 15151])).
% 7.65/5.90 tff(35387,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB65) <=> v163(constB65))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35388,plain,
% 7.65/5.90 (v161(constB65) <=> v163(constB65)),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35387, 15701])).
% 7.65/5.90 tff(35389,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB65) <=> (v145(constB65) | v167(constB65)))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35390,plain,
% 7.65/5.90 (v166(constB65) <=> (v145(constB65) | v167(constB65))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35389, 15713])).
% 7.65/5.90 tff(35391,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB65) <=> (v142(constB65) | v168(constB65)))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35392,plain,
% 7.65/5.90 (v167(constB65) <=> (v142(constB65) | v168(constB65))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35391, 15725])).
% 7.65/5.90 tff(35393,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB65) <=> (v143(constB65) | v144(constB65)))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35394,plain,
% 7.65/5.90 (v142(constB65) <=> (v143(constB65) | v144(constB65))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35393, 221])).
% 7.65/5.90 tff(35395,plain,
% 7.65/5.90 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB65) <=> (~((~v88(constB65, 1)) | (~v88(constB65, 2)) | v88(constB65, 0))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB65) <=> (~((~v88(constB65, 1)) | (~v88(constB65, 2)) | v88(constB65, 0)))))),
% 7.65/5.90 inference(rewrite,[status(thm)],[])).
% 7.65/5.90 tff(35396,plain,
% 7.65/5.90 ((v144(constB65) <=> (~(v88(constB65, 0) | (~v88(constB65, 1)) | (~v88(constB65, 2))))) <=> (v144(constB65) <=> (~((~v88(constB65, 1)) | (~v88(constB65, 2)) | v88(constB65, 0))))),
% 7.65/5.90 inference(rewrite,[status(thm)],[])).
% 7.65/5.90 tff(35397,plain,
% 7.65/5.90 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB65) <=> (~(v88(constB65, 0) | (~v88(constB65, 1)) | (~v88(constB65, 2)))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB65) <=> (~((~v88(constB65, 1)) | (~v88(constB65, 2)) | v88(constB65, 0)))))),
% 7.65/5.90 inference(monotonicity,[status(thm)],[35396])).
% 7.65/5.90 tff(35398,plain,
% 7.65/5.90 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB65) <=> (~(v88(constB65, 0) | (~v88(constB65, 1)) | (~v88(constB65, 2)))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB65) <=> (~((~v88(constB65, 1)) | (~v88(constB65, 2)) | v88(constB65, 0)))))),
% 7.65/5.90 inference(transitivity,[status(thm)],[35397, 35395])).
% 7.65/5.90 tff(35399,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB65) <=> (~(v88(constB65, 0) | (~v88(constB65, 1)) | (~v88(constB65, 2)))))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.65/5.90 tff(35400,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB65) <=> (~((~v88(constB65, 1)) | (~v88(constB65, 2)) | v88(constB65, 0))))),
% 7.65/5.90 inference(modus_ponens,[status(thm)],[35399, 35398])).
% 7.65/5.90 tff(35401,plain,
% 7.65/5.90 (v144(constB65) <=> (~((~v88(constB65, 1)) | (~v88(constB65, 2)) | v88(constB65, 0)))),
% 7.65/5.90 inference(unit_resolution,[status(thm)],[35400, 28763])).
% 7.65/5.90 tff(35402,plain,
% 7.65/5.90 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB65, 1)) <=> v90(constB65, 1)) | ((~v88(constB65, 2)) <=> v90(constB65, 2)) | ((~v88(constB65, 0)) <=> v90(constB65, 0))))),
% 7.65/5.90 inference(quant_inst,[status(thm)],[])).
% 7.72/5.90 tff(35403,plain,
% 7.72/5.90 (~(((~v88(constB65, 1)) <=> v90(constB65, 1)) | ((~v88(constB65, 2)) <=> v90(constB65, 2)) | ((~v88(constB65, 0)) <=> v90(constB65, 0)))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35402, 256])).
% 7.72/5.90 tff(35404,plain,
% 7.72/5.90 ((((~v88(constB65, 1)) <=> v90(constB65, 1)) | ((~v88(constB65, 2)) <=> v90(constB65, 2)) | ((~v88(constB65, 0)) <=> v90(constB65, 0))) | (~((~v88(constB65, 2)) <=> v90(constB65, 2)))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35405,plain,
% 7.72/5.90 (~((~v88(constB65, 2)) <=> v90(constB65, 2))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35404, 35403])).
% 7.72/5.90 tff(35406,plain,
% 7.72/5.90 (((~v88(constB65, 2)) <=> v90(constB65, 2)) | v88(constB65, 2) | (~v90(constB65, 2))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35407,plain,
% 7.72/5.90 (v88(constB65, 2)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35406, 9836, 35405])).
% 7.72/5.90 tff(35408,plain,
% 7.72/5.90 ((((~v88(constB65, 1)) <=> v90(constB65, 1)) | ((~v88(constB65, 2)) <=> v90(constB65, 2)) | ((~v88(constB65, 0)) <=> v90(constB65, 0))) | (~((~v88(constB65, 0)) <=> v90(constB65, 0)))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35409,plain,
% 7.72/5.90 (~((~v88(constB65, 0)) <=> v90(constB65, 0))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35408, 35403])).
% 7.72/5.90 tff(35410,plain,
% 7.72/5.90 (((~v88(constB65, 0)) <=> v90(constB65, 0)) | (~v88(constB65, 0)) | v90(constB65, 0)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35411,plain,
% 7.72/5.90 (~v88(constB65, 0)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35410, 9987, 35409])).
% 7.72/5.90 tff(35412,plain,
% 7.72/5.90 ((((~v88(constB65, 1)) <=> v90(constB65, 1)) | ((~v88(constB65, 2)) <=> v90(constB65, 2)) | ((~v88(constB65, 0)) <=> v90(constB65, 0))) | (~((~v88(constB65, 1)) <=> v90(constB65, 1)))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35413,plain,
% 7.72/5.90 (~((~v88(constB65, 1)) <=> v90(constB65, 1))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35412, 35403])).
% 7.72/5.90 tff(35414,plain,
% 7.72/5.90 (((~v88(constB65, 1)) <=> v90(constB65, 1)) | v88(constB65, 1) | (~v90(constB65, 1))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35415,plain,
% 7.72/5.90 (v88(constB65, 1)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35414, 9865, 35413])).
% 7.72/5.90 tff(35416,plain,
% 7.72/5.90 ((~((~v88(constB65, 1)) | (~v88(constB65, 2)) | v88(constB65, 0))) | (~v88(constB65, 1)) | (~v88(constB65, 2)) | v88(constB65, 0)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35417,plain,
% 7.72/5.90 (~((~v88(constB65, 1)) | (~v88(constB65, 2)) | v88(constB65, 0))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35416, 35415, 35411, 35407])).
% 7.72/5.90 tff(35418,plain,
% 7.72/5.90 ((~(v144(constB65) <=> (~((~v88(constB65, 1)) | (~v88(constB65, 2)) | v88(constB65, 0))))) | v144(constB65) | ((~v88(constB65, 1)) | (~v88(constB65, 2)) | v88(constB65, 0))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35419,plain,
% 7.72/5.90 (v144(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35418, 35417, 35401])).
% 7.72/5.90 tff(35420,plain,
% 7.72/5.90 ((v143(constB65) | v144(constB65)) | (~v144(constB65))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35421,plain,
% 7.72/5.90 (v143(constB65) | v144(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35420, 35419])).
% 7.72/5.90 tff(35422,plain,
% 7.72/5.90 ((~(v142(constB65) <=> (v143(constB65) | v144(constB65)))) | v142(constB65) | (~(v143(constB65) | v144(constB65)))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35423,plain,
% 7.72/5.90 (v142(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35422, 35421, 35394])).
% 7.72/5.90 tff(35424,plain,
% 7.72/5.90 ((v142(constB65) | v168(constB65)) | (~v142(constB65))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35425,plain,
% 7.72/5.90 (v142(constB65) | v168(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35424, 35423])).
% 7.72/5.90 tff(35426,plain,
% 7.72/5.90 ((~(v167(constB65) <=> (v142(constB65) | v168(constB65)))) | v167(constB65) | (~(v142(constB65) | v168(constB65)))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35427,plain,
% 7.72/5.90 ((~(v167(constB65) <=> (v142(constB65) | v168(constB65)))) | v167(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35426, 35425])).
% 7.72/5.90 tff(35428,plain,
% 7.72/5.90 (v167(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35427, 35392])).
% 7.72/5.90 tff(35429,plain,
% 7.72/5.90 ((v145(constB65) | v167(constB65)) | (~v167(constB65))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35430,plain,
% 7.72/5.90 (v145(constB65) | v167(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35429, 35428])).
% 7.72/5.90 tff(35431,plain,
% 7.72/5.90 ((~(v166(constB65) <=> (v145(constB65) | v167(constB65)))) | v166(constB65) | (~(v145(constB65) | v167(constB65)))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35432,plain,
% 7.72/5.90 (v166(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35431, 35430, 35390])).
% 7.72/5.90 tff(35433,plain,
% 7.72/5.90 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB65)) | (v163(constB65) <=> v170(constB65)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB65)) | (v163(constB65) <=> v170(constB65)))),
% 7.72/5.90 inference(rewrite,[status(thm)],[])).
% 7.72/5.90 tff(35434,plain,
% 7.72/5.90 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB65)) | (v163(constB65) <=> v170(constB65)))),
% 7.72/5.90 inference(quant_inst,[status(thm)],[])).
% 7.72/5.90 tff(35435,plain,
% 7.72/5.90 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB65)) | (v163(constB65) <=> v170(constB65))),
% 7.72/5.90 inference(modus_ponens,[status(thm)],[35434, 35433])).
% 7.72/5.90 tff(35436,plain,
% 7.72/5.90 ((~v166(constB65)) | (v163(constB65) <=> v170(constB65))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35435, 15777])).
% 7.72/5.90 tff(35437,plain,
% 7.72/5.90 (v163(constB65) <=> v170(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35436, 35432])).
% 7.72/5.90 tff(35438,plain,
% 7.72/5.90 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB65) <=> (~(v88(constB65, 0) | v88(constB65, 1) | v88(constB65, 2))))),
% 7.72/5.90 inference(quant_inst,[status(thm)],[])).
% 7.72/5.90 tff(35439,plain,
% 7.72/5.90 (v139(constB65) <=> (~(v88(constB65, 0) | v88(constB65, 1) | v88(constB65, 2)))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35438, 15795])).
% 7.72/5.90 tff(35440,plain,
% 7.72/5.90 ((v88(constB65, 0) | v88(constB65, 1) | v88(constB65, 2)) | (~v88(constB65, 2))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35441,plain,
% 7.72/5.90 (v88(constB65, 0) | v88(constB65, 1) | v88(constB65, 2)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35440, 35407])).
% 7.72/5.90 tff(35442,plain,
% 7.72/5.90 ((~(v139(constB65) <=> (~(v88(constB65, 0) | v88(constB65, 1) | v88(constB65, 2))))) | (~v139(constB65)) | (~(v88(constB65, 0) | v88(constB65, 1) | v88(constB65, 2)))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35443,plain,
% 7.72/5.90 (~v139(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35442, 35441, 35439])).
% 7.72/5.90 tff(35444,plain,
% 7.72/5.90 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB65) <=> (~(v88(constB65, 1) | v88(constB65, 2) | (~v88(constB65, 0)))))),
% 7.72/5.90 inference(quant_inst,[status(thm)],[])).
% 7.72/5.90 tff(35445,plain,
% 7.72/5.90 (v140(constB65) <=> (~(v88(constB65, 1) | v88(constB65, 2) | (~v88(constB65, 0))))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35444, 15814])).
% 7.72/5.90 tff(35446,plain,
% 7.72/5.90 ((v88(constB65, 1) | v88(constB65, 2) | (~v88(constB65, 0))) | (~v88(constB65, 2))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35447,plain,
% 7.72/5.90 (v88(constB65, 1) | v88(constB65, 2) | (~v88(constB65, 0))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35446, 35407])).
% 7.72/5.90 tff(35448,plain,
% 7.72/5.90 ((~(v140(constB65) <=> (~(v88(constB65, 1) | v88(constB65, 2) | (~v88(constB65, 0)))))) | (~v140(constB65)) | (~(v88(constB65, 1) | v88(constB65, 2) | (~v88(constB65, 0))))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35449,plain,
% 7.72/5.90 (~v140(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35448, 35447, 35445])).
% 7.72/5.90 tff(35450,plain,
% 7.72/5.90 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB65) | v139(constB65) | (~v170(constB65)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB65) | v139(constB65) | (~v170(constB65)))),
% 7.72/5.90 inference(rewrite,[status(thm)],[])).
% 7.72/5.90 tff(35451,plain,
% 7.72/5.90 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB65) | v139(constB65) | (~v170(constB65)))),
% 7.72/5.90 inference(quant_inst,[status(thm)],[])).
% 7.72/5.90 tff(35452,plain,
% 7.72/5.90 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB65) | v139(constB65) | (~v170(constB65))),
% 7.72/5.90 inference(modus_ponens,[status(thm)],[35451, 35450])).
% 7.72/5.90 tff(35453,plain,
% 7.72/5.90 (v140(constB65) | v139(constB65) | (~v170(constB65))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35452, 15833])).
% 7.72/5.90 tff(35454,plain,
% 7.72/5.90 (~v170(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35453, 35449, 35443])).
% 7.72/5.90 tff(35455,plain,
% 7.72/5.90 ((~(v163(constB65) <=> v170(constB65))) | (~v163(constB65)) | v170(constB65)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35456,plain,
% 7.72/5.90 ((~(v163(constB65) <=> v170(constB65))) | (~v163(constB65))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35455, 35454])).
% 7.72/5.90 tff(35457,plain,
% 7.72/5.90 (~v163(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35456, 35437])).
% 7.72/5.90 tff(35458,plain,
% 7.72/5.90 ((~(v161(constB65) <=> v163(constB65))) | (~v161(constB65)) | v163(constB65)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35459,plain,
% 7.72/5.90 ((~(v161(constB65) <=> v163(constB65))) | (~v161(constB65))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35458, 35457])).
% 7.72/5.90 tff(35460,plain,
% 7.72/5.90 (~v161(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35459, 35388])).
% 7.72/5.90 tff(35461,plain,
% 7.72/5.90 (((~v185(constB65)) | (~v161(constB65))) | v161(constB65)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35462,plain,
% 7.72/5.90 ((~v185(constB65)) | (~v161(constB65))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35461, 35460])).
% 7.72/5.90 tff(35463,plain,
% 7.72/5.90 ((~(v184(constB65) <=> (~((~v185(constB65)) | (~v161(constB65)))))) | (~v184(constB65)) | (~((~v185(constB65)) | (~v161(constB65))))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35464,plain,
% 7.72/5.90 (~v184(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35463, 35462, 35386])).
% 7.72/5.90 tff(35465,plain,
% 7.72/5.90 (((~v183(constB65)) | (~v184(constB65))) | v184(constB65)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35466,plain,
% 7.72/5.90 ((~v183(constB65)) | (~v184(constB65))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35465, 35464])).
% 7.72/5.90 tff(35467,plain,
% 7.72/5.90 ((~(v180(constB65) <=> (~((~v183(constB65)) | (~v184(constB65)))))) | (~v180(constB65)) | (~((~v183(constB65)) | (~v184(constB65))))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35468,plain,
% 7.72/5.90 (~v180(constB65)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35467, 35466, 35384])).
% 7.72/5.90 tff(35469,plain,
% 7.72/5.90 ((~(v182(constB66) <=> v180(constB65))) | (~v182(constB66)) | v180(constB65)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35470,plain,
% 7.72/5.90 (~v182(constB66)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35469, 35468, 35382])).
% 7.72/5.90 tff(35471,plain,
% 7.72/5.90 ((~(v159(constB66) <=> v182(constB66))) | (~v159(constB66)) | v182(constB66)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35472,plain,
% 7.72/5.90 (~v159(constB66)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35471, 35470, 35378])).
% 7.72/5.90 tff(35473,plain,
% 7.72/5.90 (((~v159(constB66)) | (~v194(constB66))) | v159(constB66)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35474,plain,
% 7.72/5.90 ((~v159(constB66)) | (~v194(constB66))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35473, 35472])).
% 7.72/5.90 tff(35475,plain,
% 7.72/5.90 ((~(v196(constB66) <=> (~((~v159(constB66)) | (~v194(constB66)))))) | (~v196(constB66)) | (~((~v159(constB66)) | (~v194(constB66))))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35476,plain,
% 7.72/5.90 (~v196(constB66)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35475, 35474, 35376])).
% 7.72/5.90 tff(35477,plain,
% 7.72/5.90 ((~(v193(constB66) | v196(constB66))) | v193(constB66) | v196(constB66)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35478,plain,
% 7.72/5.90 (~(v193(constB66) | v196(constB66))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35477, 35476, 35369])).
% 7.72/5.90 tff(35479,plain,
% 7.72/5.90 ((~(v190(constB66) <=> (v193(constB66) | v196(constB66)))) | (~v190(constB66)) | (v193(constB66) | v196(constB66))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35480,plain,
% 7.72/5.90 (~v190(constB66)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35479, 35478, 35235])).
% 7.72/5.90 tff(35481,plain,
% 7.72/5.90 ((~(v192(constB67) <=> v190(constB66))) | (~v192(constB67)) | v190(constB66)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35482,plain,
% 7.72/5.90 (~v192(constB67)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35481, 35480, 35233])).
% 7.72/5.90 tff(35483,plain,
% 7.72/5.90 ((~(v157(constB67) <=> v192(constB67))) | (~v157(constB67)) | v192(constB67)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35484,plain,
% 7.72/5.90 (~v157(constB67)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35483, 35482, 35229])).
% 7.72/5.90 tff(35485,plain,
% 7.72/5.90 (((~v157(constB67)) | (~v202(constB67))) | v157(constB67)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35486,plain,
% 7.72/5.90 ((~v157(constB67)) | (~v202(constB67))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35485, 35484])).
% 7.72/5.90 tff(35487,plain,
% 7.72/5.90 ((~(v201(constB67) <=> (~((~v157(constB67)) | (~v202(constB67)))))) | (~v201(constB67)) | (~((~v157(constB67)) | (~v202(constB67))))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35488,plain,
% 7.72/5.90 (~v201(constB67)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35487, 35486, 35227])).
% 7.72/5.90 tff(35489,plain,
% 7.72/5.90 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB67) <=> (~((~v159(constB67)) | (~v202(constB67)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB67) <=> (~((~v159(constB67)) | (~v202(constB67))))))),
% 7.72/5.90 inference(rewrite,[status(thm)],[])).
% 7.72/5.90 tff(35490,plain,
% 7.72/5.90 ((v205(constB67) <=> (~((~v202(constB67)) | (~v159(constB67))))) <=> (v205(constB67) <=> (~((~v159(constB67)) | (~v202(constB67)))))),
% 7.72/5.90 inference(rewrite,[status(thm)],[])).
% 7.72/5.90 tff(35491,plain,
% 7.72/5.90 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB67) <=> (~((~v202(constB67)) | (~v159(constB67)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB67) <=> (~((~v159(constB67)) | (~v202(constB67))))))),
% 7.72/5.90 inference(monotonicity,[status(thm)],[35490])).
% 7.72/5.90 tff(35492,plain,
% 7.72/5.90 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB67) <=> (~((~v202(constB67)) | (~v159(constB67)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB67) <=> (~((~v159(constB67)) | (~v202(constB67))))))),
% 7.72/5.90 inference(transitivity,[status(thm)],[35491, 35489])).
% 7.72/5.90 tff(35493,plain,
% 7.72/5.90 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB67) <=> (~((~v202(constB67)) | (~v159(constB67)))))),
% 7.72/5.90 inference(quant_inst,[status(thm)],[])).
% 7.72/5.90 tff(35494,plain,
% 7.72/5.90 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB67) <=> (~((~v159(constB67)) | (~v202(constB67)))))),
% 7.72/5.90 inference(modus_ponens,[status(thm)],[35493, 35492])).
% 7.72/5.90 tff(35495,plain,
% 7.72/5.90 (v205(constB67) <=> (~((~v159(constB67)) | (~v202(constB67))))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35494, 138])).
% 7.72/5.90 tff(35496,plain,
% 7.72/5.90 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB67) <=> v182(constB67))),
% 7.72/5.90 inference(quant_inst,[status(thm)],[])).
% 7.72/5.90 tff(35497,plain,
% 7.72/5.90 (v159(constB67) <=> v182(constB67)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35496, 15113])).
% 7.72/5.90 tff(35498,plain,
% 7.72/5.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB66, constB67)) | (v182(constB67) <=> v180(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB66, constB67)) | (v182(constB67) <=> v180(constB66)))),
% 7.72/5.90 inference(rewrite,[status(thm)],[])).
% 7.72/5.90 tff(35499,plain,
% 7.72/5.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB66, constB67)) | (v182(constB67) <=> v180(constB66)))),
% 7.72/5.90 inference(quant_inst,[status(thm)],[])).
% 7.72/5.90 tff(35500,plain,
% 7.72/5.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB66, constB67)) | (v182(constB67) <=> v180(constB66))),
% 7.72/5.90 inference(modus_ponens,[status(thm)],[35499, 35498])).
% 7.72/5.90 tff(35501,plain,
% 7.72/5.90 (v182(constB67) <=> v180(constB66)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35500, 2394, 15125])).
% 7.72/5.90 tff(35502,plain,
% 7.72/5.90 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB66) <=> (~((~v183(constB66)) | (~v184(constB66)))))),
% 7.72/5.90 inference(quant_inst,[status(thm)],[])).
% 7.72/5.90 tff(35503,plain,
% 7.72/5.90 (v180(constB66) <=> (~((~v183(constB66)) | (~v184(constB66))))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35502, 15139])).
% 7.72/5.90 tff(35504,plain,
% 7.72/5.90 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB66) <=> (~((~v185(constB66)) | (~v161(constB66)))))),
% 7.72/5.90 inference(quant_inst,[status(thm)],[])).
% 7.72/5.90 tff(35505,plain,
% 7.72/5.90 (v184(constB66) <=> (~((~v185(constB66)) | (~v161(constB66))))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35504, 15151])).
% 7.72/5.90 tff(35506,plain,
% 7.72/5.90 (((~v185(constB66)) | (~v161(constB66))) | v185(constB66)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35507,plain,
% 7.72/5.90 ((~v185(constB66)) | (~v161(constB66))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35506, 25709])).
% 7.72/5.90 tff(35508,plain,
% 7.72/5.90 ((~(v184(constB66) <=> (~((~v185(constB66)) | (~v161(constB66)))))) | (~v184(constB66)) | (~((~v185(constB66)) | (~v161(constB66))))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35509,plain,
% 7.72/5.90 ((~(v184(constB66) <=> (~((~v185(constB66)) | (~v161(constB66)))))) | (~v184(constB66))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35508, 35507])).
% 7.72/5.90 tff(35510,plain,
% 7.72/5.90 (~v184(constB66)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35509, 35505])).
% 7.72/5.90 tff(35511,plain,
% 7.72/5.90 (((~v183(constB66)) | (~v184(constB66))) | v184(constB66)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35512,plain,
% 7.72/5.90 ((~v183(constB66)) | (~v184(constB66))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35511, 35510])).
% 7.72/5.90 tff(35513,plain,
% 7.72/5.90 ((~(v180(constB66) <=> (~((~v183(constB66)) | (~v184(constB66)))))) | (~v180(constB66)) | (~((~v183(constB66)) | (~v184(constB66))))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35514,plain,
% 7.72/5.90 (~v180(constB66)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35513, 35512, 35503])).
% 7.72/5.90 tff(35515,plain,
% 7.72/5.90 ((~(v182(constB67) <=> v180(constB66))) | (~v182(constB67)) | v180(constB66)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35516,plain,
% 7.72/5.90 (~v182(constB67)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35515, 35514, 35501])).
% 7.72/5.90 tff(35517,plain,
% 7.72/5.90 ((~(v159(constB67) <=> v182(constB67))) | (~v159(constB67)) | v182(constB67)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35518,plain,
% 7.72/5.90 (~v159(constB67)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35517, 35516, 35497])).
% 7.72/5.90 tff(35519,plain,
% 7.72/5.90 (((~v159(constB67)) | (~v202(constB67))) | v159(constB67)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35520,plain,
% 7.72/5.90 ((~v159(constB67)) | (~v202(constB67))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35519, 35518])).
% 7.72/5.90 tff(35521,plain,
% 7.72/5.90 ((~(v205(constB67) <=> (~((~v159(constB67)) | (~v202(constB67)))))) | (~v205(constB67)) | (~((~v159(constB67)) | (~v202(constB67))))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35522,plain,
% 7.72/5.90 (~v205(constB67)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35521, 35520, 35495])).
% 7.72/5.90 tff(35523,plain,
% 7.72/5.90 ((~(v201(constB67) | v205(constB67))) | v201(constB67) | v205(constB67)),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.90 tff(35524,plain,
% 7.72/5.90 ((~(v201(constB67) | v205(constB67))) | v201(constB67)),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35523, 35522])).
% 7.72/5.90 tff(35525,plain,
% 7.72/5.90 (~(v201(constB67) | v205(constB67))),
% 7.72/5.90 inference(unit_resolution,[status(thm)],[35524, 35488])).
% 7.72/5.90 tff(35526,plain,
% 7.72/5.90 ((~(v200(constB67) <=> (v201(constB67) | v205(constB67)))) | (~v200(constB67)) | (v201(constB67) | v205(constB67))),
% 7.72/5.90 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35527,plain,
% 7.72/5.91 (~v200(constB67)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35526, 35525, 35220])).
% 7.72/5.91 tff(35528,plain,
% 7.72/5.91 ($false),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35527, 35218])).
% 7.72/5.91 tff(35529,plain,(~(constB67 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.72/5.91 tff(35530,assumption,(constB170 = VarCurr!0), introduced(assumption)).
% 7.72/5.91 tff(35531,plain,
% 7.72/5.91 (v200(constB170) <=> v200(VarCurr!0)),
% 7.72/5.91 inference(monotonicity,[status(thm)],[35530])).
% 7.72/5.91 tff(35532,plain,
% 7.72/5.91 (v200(VarCurr!0) <=> v200(constB170)),
% 7.72/5.91 inference(symmetry,[status(thm)],[35531])).
% 7.72/5.91 tff(35533,plain,
% 7.72/5.91 (v200(constB170)),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[27, 35532])).
% 7.72/5.91 tff(35534,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB170) <=> (v201(constB170) | v205(constB170)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35535,plain,
% 7.72/5.91 (v200(constB170) <=> (v201(constB170) | v205(constB170))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35534, 35])).
% 7.72/5.91 tff(35536,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB170) <=> (~((~v157(constB170)) | (~v202(constB170)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB170) <=> (~((~v157(constB170)) | (~v202(constB170))))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35537,plain,
% 7.72/5.91 ((v201(constB170) <=> (~((~v202(constB170)) | (~v157(constB170))))) <=> (v201(constB170) <=> (~((~v157(constB170)) | (~v202(constB170)))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35538,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB170) <=> (~((~v202(constB170)) | (~v157(constB170)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB170) <=> (~((~v157(constB170)) | (~v202(constB170))))))),
% 7.72/5.91 inference(monotonicity,[status(thm)],[35537])).
% 7.72/5.91 tff(35539,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB170) <=> (~((~v202(constB170)) | (~v157(constB170)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB170) <=> (~((~v157(constB170)) | (~v202(constB170))))))),
% 7.72/5.91 inference(transitivity,[status(thm)],[35538, 35536])).
% 7.72/5.91 tff(35540,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB170) <=> (~((~v202(constB170)) | (~v157(constB170)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35541,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB170) <=> (~((~v157(constB170)) | (~v202(constB170)))))),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[35540, 35539])).
% 7.72/5.91 tff(35542,plain,
% 7.72/5.91 (v201(constB170) <=> (~((~v157(constB170)) | (~v202(constB170))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35541, 47])).
% 7.72/5.91 tff(35543,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB170) <=> (~((~v183(constB170)) | (~v203(constB170)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35544,plain,
% 7.72/5.91 (v202(constB170) <=> (~((~v183(constB170)) | (~v203(constB170))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35543, 64])).
% 7.72/5.91 tff(35545,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB170) <=> (~((~v185(constB170)) | (~v204(constB170)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB170) <=> (~((~v185(constB170)) | (~v204(constB170))))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35546,plain,
% 7.72/5.91 ((v203(constB170) <=> (~((~v204(constB170)) | (~v185(constB170))))) <=> (v203(constB170) <=> (~((~v185(constB170)) | (~v204(constB170)))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35547,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB170) <=> (~((~v204(constB170)) | (~v185(constB170)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB170) <=> (~((~v185(constB170)) | (~v204(constB170))))))),
% 7.72/5.91 inference(monotonicity,[status(thm)],[35546])).
% 7.72/5.91 tff(35548,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB170) <=> (~((~v204(constB170)) | (~v185(constB170)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB170) <=> (~((~v185(constB170)) | (~v204(constB170))))))),
% 7.72/5.91 inference(transitivity,[status(thm)],[35547, 35545])).
% 7.72/5.91 tff(35549,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB170) <=> (~((~v204(constB170)) | (~v185(constB170)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35550,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB170) <=> (~((~v185(constB170)) | (~v204(constB170)))))),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[35549, 35548])).
% 7.72/5.91 tff(35551,plain,
% 7.72/5.91 (v203(constB170) <=> (~((~v185(constB170)) | (~v204(constB170))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35550, 76])).
% 7.72/5.91 tff(35552,plain,
% 7.72/5.91 (((~v185(constB170)) | (~v204(constB170))) | v185(constB170)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35553,plain,
% 7.72/5.91 ((~v185(constB170)) | (~v204(constB170))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35552, 28284])).
% 7.72/5.91 tff(35554,plain,
% 7.72/5.91 ((~(v203(constB170) <=> (~((~v185(constB170)) | (~v204(constB170)))))) | (~v203(constB170)) | (~((~v185(constB170)) | (~v204(constB170))))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35555,plain,
% 7.72/5.91 ((~(v203(constB170) <=> (~((~v185(constB170)) | (~v204(constB170)))))) | (~v203(constB170))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35554, 35553])).
% 7.72/5.91 tff(35556,plain,
% 7.72/5.91 (~v203(constB170)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35555, 35551])).
% 7.72/5.91 tff(35557,plain,
% 7.72/5.91 (((~v183(constB170)) | (~v203(constB170))) | v203(constB170)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35558,plain,
% 7.72/5.91 ((~v183(constB170)) | (~v203(constB170))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35557, 35556])).
% 7.72/5.91 tff(35559,plain,
% 7.72/5.91 ((~(v202(constB170) <=> (~((~v183(constB170)) | (~v203(constB170)))))) | (~v202(constB170)) | (~((~v183(constB170)) | (~v203(constB170))))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35560,plain,
% 7.72/5.91 (~v202(constB170)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35559, 35558, 35544])).
% 7.72/5.91 tff(35561,plain,
% 7.72/5.91 (((~v157(constB170)) | (~v202(constB170))) | v202(constB170)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35562,plain,
% 7.72/5.91 ((~v157(constB170)) | (~v202(constB170))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35561, 35560])).
% 7.72/5.91 tff(35563,plain,
% 7.72/5.91 ((~(v201(constB170) <=> (~((~v157(constB170)) | (~v202(constB170)))))) | (~v201(constB170)) | (~((~v157(constB170)) | (~v202(constB170))))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35564,plain,
% 7.72/5.91 (~v201(constB170)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35563, 35562, 35542])).
% 7.72/5.91 tff(35565,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB170) <=> (~((~v159(constB170)) | (~v202(constB170)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB170) <=> (~((~v159(constB170)) | (~v202(constB170))))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35566,plain,
% 7.72/5.91 ((v205(constB170) <=> (~((~v202(constB170)) | (~v159(constB170))))) <=> (v205(constB170) <=> (~((~v159(constB170)) | (~v202(constB170)))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35567,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB170) <=> (~((~v202(constB170)) | (~v159(constB170)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB170) <=> (~((~v159(constB170)) | (~v202(constB170))))))),
% 7.72/5.91 inference(monotonicity,[status(thm)],[35566])).
% 7.72/5.91 tff(35568,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB170) <=> (~((~v202(constB170)) | (~v159(constB170)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB170) <=> (~((~v159(constB170)) | (~v202(constB170))))))),
% 7.72/5.91 inference(transitivity,[status(thm)],[35567, 35565])).
% 7.72/5.91 tff(35569,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB170) <=> (~((~v202(constB170)) | (~v159(constB170)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35570,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB170) <=> (~((~v159(constB170)) | (~v202(constB170)))))),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[35569, 35568])).
% 7.72/5.91 tff(35571,plain,
% 7.72/5.91 (v205(constB170) <=> (~((~v159(constB170)) | (~v202(constB170))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35570, 138])).
% 7.72/5.91 tff(35572,plain,
% 7.72/5.91 (((~v159(constB170)) | (~v202(constB170))) | v202(constB170)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35573,plain,
% 7.72/5.91 ((~v159(constB170)) | (~v202(constB170))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35572, 35560])).
% 7.72/5.91 tff(35574,plain,
% 7.72/5.91 ((~(v205(constB170) <=> (~((~v159(constB170)) | (~v202(constB170)))))) | (~v205(constB170)) | (~((~v159(constB170)) | (~v202(constB170))))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35575,plain,
% 7.72/5.91 (~v205(constB170)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35574, 35573, 35571])).
% 7.72/5.91 tff(35576,plain,
% 7.72/5.91 ((~(v201(constB170) | v205(constB170))) | v201(constB170) | v205(constB170)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35577,plain,
% 7.72/5.91 (~(v201(constB170) | v205(constB170))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35576, 35575, 35564])).
% 7.72/5.91 tff(35578,plain,
% 7.72/5.91 ((~(v200(constB170) <=> (v201(constB170) | v205(constB170)))) | (~v200(constB170)) | (v201(constB170) | v205(constB170))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35579,plain,
% 7.72/5.91 ((~(v200(constB170) <=> (v201(constB170) | v205(constB170)))) | (~v200(constB170))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35578, 35577])).
% 7.72/5.91 tff(35580,plain,
% 7.72/5.91 (~v200(constB170)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35579, 35535])).
% 7.72/5.91 tff(35581,plain,
% 7.72/5.91 ($false),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35580, 35533])).
% 7.72/5.91 tff(35582,plain,(~(constB170 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.72/5.91 tff(35583,assumption,(constB21 = VarCurr!0), introduced(assumption)).
% 7.72/5.91 tff(35584,plain,
% 7.72/5.91 (v200(constB21) <=> v200(VarCurr!0)),
% 7.72/5.91 inference(monotonicity,[status(thm)],[35583])).
% 7.72/5.91 tff(35585,plain,
% 7.72/5.91 (v200(VarCurr!0) <=> v200(constB21)),
% 7.72/5.91 inference(symmetry,[status(thm)],[35584])).
% 7.72/5.91 tff(35586,plain,
% 7.72/5.91 (v200(constB21)),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[27, 35585])).
% 7.72/5.91 tff(35587,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB21) <=> (v201(constB21) | v205(constB21)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35588,plain,
% 7.72/5.91 (v200(constB21) <=> (v201(constB21) | v205(constB21))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35587, 35])).
% 7.72/5.91 tff(35589,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB21) <=> (~((~v157(constB21)) | (~v202(constB21)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB21) <=> (~((~v157(constB21)) | (~v202(constB21))))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35590,plain,
% 7.72/5.91 ((v201(constB21) <=> (~((~v202(constB21)) | (~v157(constB21))))) <=> (v201(constB21) <=> (~((~v157(constB21)) | (~v202(constB21)))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35591,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB21) <=> (~((~v202(constB21)) | (~v157(constB21)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB21) <=> (~((~v157(constB21)) | (~v202(constB21))))))),
% 7.72/5.91 inference(monotonicity,[status(thm)],[35590])).
% 7.72/5.91 tff(35592,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB21) <=> (~((~v202(constB21)) | (~v157(constB21)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB21) <=> (~((~v157(constB21)) | (~v202(constB21))))))),
% 7.72/5.91 inference(transitivity,[status(thm)],[35591, 35589])).
% 7.72/5.91 tff(35593,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB21) <=> (~((~v202(constB21)) | (~v157(constB21)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35594,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB21) <=> (~((~v157(constB21)) | (~v202(constB21)))))),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[35593, 35592])).
% 7.72/5.91 tff(35595,plain,
% 7.72/5.91 (v201(constB21) <=> (~((~v157(constB21)) | (~v202(constB21))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35594, 47])).
% 7.72/5.91 tff(35596,plain,
% 7.72/5.91 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB21) <=> v192(constB21))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35597,plain,
% 7.72/5.91 (v157(constB21) <=> v192(constB21)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35596, 15407])).
% 7.72/5.91 tff(35598,plain,
% 7.72/5.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB20, constB21)) | (v192(constB21) <=> v190(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB20, constB21)) | (v192(constB21) <=> v190(constB20)))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35599,plain,
% 7.72/5.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB20, constB21)) | (v192(constB21) <=> v190(constB20)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35600,plain,
% 7.72/5.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB20, constB21)) | (v192(constB21) <=> v190(constB20))),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[35599, 35598])).
% 7.72/5.91 tff(35601,plain,
% 7.72/5.91 (v192(constB21) <=> v190(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35600, 3867, 15419])).
% 7.72/5.91 tff(35602,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB20) <=> (v193(constB20) | v196(constB20)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35603,plain,
% 7.72/5.91 (v190(constB20) <=> (v193(constB20) | v196(constB20))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35602, 15430])).
% 7.72/5.91 tff(35604,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB20) <=> (~((~v157(constB20)) | (~v194(constB20)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB20) <=> (~((~v157(constB20)) | (~v194(constB20))))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35605,plain,
% 7.72/5.91 ((v193(constB20) <=> (~((~v194(constB20)) | (~v157(constB20))))) <=> (v193(constB20) <=> (~((~v157(constB20)) | (~v194(constB20)))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35606,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB20) <=> (~((~v194(constB20)) | (~v157(constB20)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB20) <=> (~((~v157(constB20)) | (~v194(constB20))))))),
% 7.72/5.91 inference(monotonicity,[status(thm)],[35605])).
% 7.72/5.91 tff(35607,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB20) <=> (~((~v194(constB20)) | (~v157(constB20)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB20) <=> (~((~v157(constB20)) | (~v194(constB20))))))),
% 7.72/5.91 inference(transitivity,[status(thm)],[35606, 35604])).
% 7.72/5.91 tff(35608,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB20) <=> (~((~v194(constB20)) | (~v157(constB20)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35609,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB20) <=> (~((~v157(constB20)) | (~v194(constB20)))))),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[35608, 35607])).
% 7.72/5.91 tff(35610,plain,
% 7.72/5.91 (v193(constB20) <=> (~((~v157(constB20)) | (~v194(constB20))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35609, 15442])).
% 7.72/5.91 tff(35611,plain,
% 7.72/5.91 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB20) <=> v192(constB20))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35612,plain,
% 7.72/5.91 (v157(constB20) <=> v192(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35611, 15407])).
% 7.72/5.91 tff(35613,plain,
% 7.72/5.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB19, constB20)) | (v192(constB20) <=> v190(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB19, constB20)) | (v192(constB20) <=> v190(constB19)))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35614,plain,
% 7.72/5.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB19, constB20)) | (v192(constB20) <=> v190(constB19)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35615,plain,
% 7.72/5.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB19, constB20)) | (v192(constB20) <=> v190(constB19))),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[35614, 35613])).
% 7.72/5.91 tff(35616,plain,
% 7.72/5.91 (v192(constB20) <=> v190(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35615, 3903, 15419])).
% 7.72/5.91 tff(35617,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB19) <=> (v193(constB19) | v196(constB19)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35618,plain,
% 7.72/5.91 (v190(constB19) <=> (v193(constB19) | v196(constB19))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35617, 15430])).
% 7.72/5.91 tff(35619,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB19) <=> (~((~v159(constB19)) | (~v194(constB19)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB19) <=> (~((~v159(constB19)) | (~v194(constB19))))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35620,plain,
% 7.72/5.91 ((v196(constB19) <=> (~((~v194(constB19)) | (~v159(constB19))))) <=> (v196(constB19) <=> (~((~v159(constB19)) | (~v194(constB19)))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35621,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB19) <=> (~((~v194(constB19)) | (~v159(constB19)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB19) <=> (~((~v159(constB19)) | (~v194(constB19))))))),
% 7.72/5.91 inference(monotonicity,[status(thm)],[35620])).
% 7.72/5.91 tff(35622,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB19) <=> (~((~v194(constB19)) | (~v159(constB19)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB19) <=> (~((~v159(constB19)) | (~v194(constB19))))))),
% 7.72/5.91 inference(transitivity,[status(thm)],[35621, 35619])).
% 7.72/5.91 tff(35623,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB19) <=> (~((~v194(constB19)) | (~v159(constB19)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35624,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB19) <=> (~((~v159(constB19)) | (~v194(constB19)))))),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[35623, 35622])).
% 7.72/5.91 tff(35625,plain,
% 7.72/5.91 (v196(constB19) <=> (~((~v159(constB19)) | (~v194(constB19))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35624, 15467])).
% 7.72/5.91 tff(35626,plain,
% 7.72/5.91 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB19) <=> v182(constB19))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35627,plain,
% 7.72/5.91 (v159(constB19) <=> v182(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35626, 15113])).
% 7.72/5.91 tff(35628,plain,
% 7.72/5.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB18, constB19)) | (v182(constB19) <=> v180(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB18, constB19)) | (v182(constB19) <=> v180(constB18)))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35629,plain,
% 7.72/5.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB18, constB19)) | (v182(constB19) <=> v180(constB18)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35630,plain,
% 7.72/5.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB18, constB19)) | (v182(constB19) <=> v180(constB18))),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[35629, 35628])).
% 7.72/5.91 tff(35631,plain,
% 7.72/5.91 (v182(constB19) <=> v180(constB18)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35630, 3933, 15125])).
% 7.72/5.91 tff(35632,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB18) <=> (~((~v183(constB18)) | (~v184(constB18)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35633,plain,
% 7.72/5.91 (v180(constB18) <=> (~((~v183(constB18)) | (~v184(constB18))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35632, 15139])).
% 7.72/5.91 tff(35634,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB18) <=> (~((~v185(constB18)) | (~v161(constB18)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35635,plain,
% 7.72/5.91 (v184(constB18) <=> (~((~v185(constB18)) | (~v161(constB18))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35634, 15151])).
% 7.72/5.91 tff(35636,plain,
% 7.72/5.91 (((~v185(constB18)) | (~v161(constB18))) | v185(constB18)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35637,plain,
% 7.72/5.91 ((~v185(constB18)) | (~v161(constB18))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35636, 15223])).
% 7.72/5.91 tff(35638,plain,
% 7.72/5.91 ((~(v184(constB18) <=> (~((~v185(constB18)) | (~v161(constB18)))))) | (~v184(constB18)) | (~((~v185(constB18)) | (~v161(constB18))))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35639,plain,
% 7.72/5.91 ((~(v184(constB18) <=> (~((~v185(constB18)) | (~v161(constB18)))))) | (~v184(constB18))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35638, 35637])).
% 7.72/5.91 tff(35640,plain,
% 7.72/5.91 (~v184(constB18)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35639, 35635])).
% 7.72/5.91 tff(35641,plain,
% 7.72/5.91 (((~v183(constB18)) | (~v184(constB18))) | v184(constB18)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35642,plain,
% 7.72/5.91 ((~v183(constB18)) | (~v184(constB18))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35641, 35640])).
% 7.72/5.91 tff(35643,plain,
% 7.72/5.91 ((~(v180(constB18) <=> (~((~v183(constB18)) | (~v184(constB18)))))) | (~v180(constB18)) | (~((~v183(constB18)) | (~v184(constB18))))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35644,plain,
% 7.72/5.91 (~v180(constB18)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35643, 35642, 35633])).
% 7.72/5.91 tff(35645,plain,
% 7.72/5.91 ((~(v182(constB19) <=> v180(constB18))) | (~v182(constB19)) | v180(constB18)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35646,plain,
% 7.72/5.91 (~v182(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35645, 35644, 35631])).
% 7.72/5.91 tff(35647,plain,
% 7.72/5.91 ((~(v159(constB19) <=> v182(constB19))) | (~v159(constB19)) | v182(constB19)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35648,plain,
% 7.72/5.91 (~v159(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35647, 35646, 35627])).
% 7.72/5.91 tff(35649,plain,
% 7.72/5.91 (((~v159(constB19)) | (~v194(constB19))) | v159(constB19)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35650,plain,
% 7.72/5.91 ((~v159(constB19)) | (~v194(constB19))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35649, 35648])).
% 7.72/5.91 tff(35651,plain,
% 7.72/5.91 ((~(v196(constB19) <=> (~((~v159(constB19)) | (~v194(constB19)))))) | (~v196(constB19)) | (~((~v159(constB19)) | (~v194(constB19))))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35652,plain,
% 7.72/5.91 (~v196(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35651, 35650, 35625])).
% 7.72/5.91 tff(35653,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB19) <=> (~((~v157(constB19)) | (~v194(constB19)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB19) <=> (~((~v157(constB19)) | (~v194(constB19))))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35654,plain,
% 7.72/5.91 ((v193(constB19) <=> (~((~v194(constB19)) | (~v157(constB19))))) <=> (v193(constB19) <=> (~((~v157(constB19)) | (~v194(constB19)))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35655,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB19) <=> (~((~v194(constB19)) | (~v157(constB19)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB19) <=> (~((~v157(constB19)) | (~v194(constB19))))))),
% 7.72/5.91 inference(monotonicity,[status(thm)],[35654])).
% 7.72/5.91 tff(35656,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB19) <=> (~((~v194(constB19)) | (~v157(constB19)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB19) <=> (~((~v157(constB19)) | (~v194(constB19))))))),
% 7.72/5.91 inference(transitivity,[status(thm)],[35655, 35653])).
% 7.72/5.91 tff(35657,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB19) <=> (~((~v194(constB19)) | (~v157(constB19)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35658,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB19) <=> (~((~v157(constB19)) | (~v194(constB19)))))),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[35657, 35656])).
% 7.72/5.91 tff(35659,plain,
% 7.72/5.91 (v193(constB19) <=> (~((~v157(constB19)) | (~v194(constB19))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35658, 15442])).
% 7.72/5.91 tff(35660,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB19)) <=> v195(constB19))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35661,plain,
% 7.72/5.91 ((~v194(constB19)) <=> v195(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35660, 15527])).
% 7.72/5.91 tff(35662,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB19) <=> (v185(constB19) | v26(constB19)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35663,plain,
% 7.72/5.91 (v195(constB19) <=> (v185(constB19) | v26(constB19))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35662, 15536])).
% 7.72/5.91 tff(35664,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB19) <=> (~((~v39(constB19)) | (~v9(constB19)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35665,plain,
% 7.72/5.91 (v185(constB19) <=> (~((~v39(constB19)) | (~v9(constB19))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35664, 93])).
% 7.72/5.91 tff(35666,plain,
% 7.72/5.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19)))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35667,plain,
% 7.72/5.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35668,plain,
% 7.72/5.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19))),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[35667, 35666])).
% 7.72/5.91 tff(35669,plain,
% 7.72/5.91 (v13(constB20) <=> v9(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35668, 3903, 15550])).
% 7.72/5.91 tff(35670,plain,
% 7.72/5.91 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB20) <=> v13(constB20))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35671,plain,
% 7.72/5.91 (v6(constB20) <=> v13(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35670, 15564])).
% 7.72/5.91 tff(35672,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB20)) <=> v6(constB20))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35673,plain,
% 7.72/5.91 ((~v21(constB20)) <=> v6(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35672, 15573])).
% 7.72/5.91 tff(35674,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB20) <=> (v20(constB20) | v21(constB20)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35675,plain,
% 7.72/5.91 (v19(constB20) <=> (v20(constB20) | v21(constB20))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35674, 15582])).
% 7.72/5.91 tff(35676,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35677,plain,
% 7.72/5.91 (v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35676, 15594])).
% 7.72/5.91 tff(35678,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB20)) <=> v18(constB20))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35679,plain,
% 7.72/5.91 ((~v4(constB20)) <=> v18(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35678, 15603])).
% 7.72/5.91 tff(35680,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB20)),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35681,plain,
% 7.72/5.91 (v4(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35680, 15612])).
% 7.72/5.91 tff(35682,plain,
% 7.72/5.91 ((~((~v4(constB20)) <=> v18(constB20))) | (~v4(constB20)) | (~v18(constB20))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35683,plain,
% 7.72/5.91 (~v18(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35682, 35681, 35679])).
% 7.72/5.91 tff(35684,plain,
% 7.72/5.91 ((~(v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20)))))) | v18(constB20) | ((~v19(constB20)) | (~v22(constB20)))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35685,plain,
% 7.72/5.91 ((~v19(constB20)) | (~v22(constB20))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35684, 35683, 35677])).
% 7.72/5.91 tff(35686,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB20) <=> (v1(constB20) | v6(constB20)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35687,plain,
% 7.72/5.91 (v22(constB20) <=> (v1(constB20) | v6(constB20))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35686, 15625])).
% 7.72/5.91 tff(35688,plain,
% 7.72/5.91 ((v1(constB20) | v6(constB20)) | (~v1(constB20))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35689,plain,
% 7.72/5.91 (v1(constB20) | v6(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35688, 6272])).
% 7.72/5.91 tff(35690,plain,
% 7.72/5.91 ((~(v22(constB20) <=> (v1(constB20) | v6(constB20)))) | v22(constB20) | (~(v1(constB20) | v6(constB20)))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35691,plain,
% 7.72/5.91 ((~(v22(constB20) <=> (v1(constB20) | v6(constB20)))) | v22(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35690, 35689])).
% 7.72/5.91 tff(35692,plain,
% 7.72/5.91 (v22(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35691, 35687])).
% 7.72/5.91 tff(35693,plain,
% 7.72/5.91 ((~((~v19(constB20)) | (~v22(constB20)))) | (~v19(constB20)) | (~v22(constB20))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35694,plain,
% 7.72/5.91 ((~((~v19(constB20)) | (~v22(constB20)))) | (~v19(constB20))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35693, 35692])).
% 7.72/5.91 tff(35695,plain,
% 7.72/5.91 (~v19(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35694, 35685])).
% 7.72/5.91 tff(35696,plain,
% 7.72/5.91 ((~(v19(constB20) <=> (v20(constB20) | v21(constB20)))) | v19(constB20) | (~(v20(constB20) | v21(constB20)))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35697,plain,
% 7.72/5.91 (~(v20(constB20) | v21(constB20))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35696, 35695, 35675])).
% 7.72/5.91 tff(35698,plain,
% 7.72/5.91 ((v20(constB20) | v21(constB20)) | (~v21(constB20))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35699,plain,
% 7.72/5.91 (~v21(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35698, 35697])).
% 7.72/5.91 tff(35700,plain,
% 7.72/5.91 ((~((~v21(constB20)) <=> v6(constB20))) | v21(constB20) | v6(constB20)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35701,plain,
% 7.72/5.91 (v6(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35700, 35699, 35673])).
% 7.72/5.91 tff(35702,plain,
% 7.72/5.91 ((~(v6(constB20) <=> v13(constB20))) | (~v6(constB20)) | v13(constB20)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35703,plain,
% 7.72/5.91 (v13(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35702, 35701, 35671])).
% 7.72/5.91 tff(35704,plain,
% 7.72/5.91 ((~(v13(constB20) <=> v9(constB19))) | (~v13(constB20)) | v9(constB19)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35705,plain,
% 7.72/5.91 (v9(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35704, 35703, 35669])).
% 7.72/5.91 tff(35706,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB19)) <=> v1(constB19))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35707,plain,
% 7.72/5.91 ((~v39(constB19)) <=> v1(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35706, 102])).
% 7.72/5.91 tff(35708,plain,
% 7.72/5.91 ((~((~v39(constB19)) <=> v1(constB19))) | v39(constB19) | v1(constB19)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35709,plain,
% 7.72/5.91 ((~((~v39(constB19)) <=> v1(constB19))) | v39(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35708, 3947])).
% 7.72/5.91 tff(35710,plain,
% 7.72/5.91 (v39(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35709, 35707])).
% 7.72/5.91 tff(35711,plain,
% 7.72/5.91 ((~((~v39(constB19)) | (~v9(constB19)))) | (~v39(constB19)) | (~v9(constB19))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35712,plain,
% 7.72/5.91 ((~((~v39(constB19)) | (~v9(constB19)))) | (~v9(constB19))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35711, 35710])).
% 7.72/5.91 tff(35713,plain,
% 7.72/5.91 (~((~v39(constB19)) | (~v9(constB19)))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35712, 35705])).
% 7.72/5.91 tff(35714,plain,
% 7.72/5.91 ((~(v185(constB19) <=> (~((~v39(constB19)) | (~v9(constB19)))))) | v185(constB19) | ((~v39(constB19)) | (~v9(constB19)))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35715,plain,
% 7.72/5.91 (v185(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35714, 35713, 35665])).
% 7.72/5.91 tff(35716,plain,
% 7.72/5.91 ((v185(constB19) | v26(constB19)) | (~v185(constB19))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35717,plain,
% 7.72/5.91 (v185(constB19) | v26(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35716, 35715])).
% 7.72/5.91 tff(35718,plain,
% 7.72/5.91 ((~(v195(constB19) <=> (v185(constB19) | v26(constB19)))) | v195(constB19) | (~(v185(constB19) | v26(constB19)))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35719,plain,
% 7.72/5.91 (v195(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35718, 35717, 35663])).
% 7.72/5.91 tff(35720,plain,
% 7.72/5.91 ((~((~v194(constB19)) <=> v195(constB19))) | (~v194(constB19)) | (~v195(constB19))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35721,plain,
% 7.72/5.91 (~v194(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35720, 35719, 35661])).
% 7.72/5.91 tff(35722,plain,
% 7.72/5.91 (((~v157(constB19)) | (~v194(constB19))) | v194(constB19)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35723,plain,
% 7.72/5.91 ((~v157(constB19)) | (~v194(constB19))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35722, 35721])).
% 7.72/5.91 tff(35724,plain,
% 7.72/5.91 ((~(v193(constB19) <=> (~((~v157(constB19)) | (~v194(constB19)))))) | (~v193(constB19)) | (~((~v157(constB19)) | (~v194(constB19))))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35725,plain,
% 7.72/5.91 (~v193(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35724, 35723, 35659])).
% 7.72/5.91 tff(35726,plain,
% 7.72/5.91 ((~(v193(constB19) | v196(constB19))) | v193(constB19) | v196(constB19)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35727,plain,
% 7.72/5.91 (~(v193(constB19) | v196(constB19))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35726, 35725, 35652])).
% 7.72/5.91 tff(35728,plain,
% 7.72/5.91 ((~(v190(constB19) <=> (v193(constB19) | v196(constB19)))) | (~v190(constB19)) | (v193(constB19) | v196(constB19))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35729,plain,
% 7.72/5.91 (~v190(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35728, 35727, 35618])).
% 7.72/5.91 tff(35730,plain,
% 7.72/5.91 ((~(v192(constB20) <=> v190(constB19))) | (~v192(constB20)) | v190(constB19)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35731,plain,
% 7.72/5.91 (~v192(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35730, 35729, 35616])).
% 7.72/5.91 tff(35732,plain,
% 7.72/5.91 ((~(v157(constB20) <=> v192(constB20))) | (~v157(constB20)) | v192(constB20)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35733,plain,
% 7.72/5.91 (~v157(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35732, 35731, 35612])).
% 7.72/5.91 tff(35734,plain,
% 7.72/5.91 (((~v157(constB20)) | (~v194(constB20))) | v157(constB20)),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35735,plain,
% 7.72/5.91 ((~v157(constB20)) | (~v194(constB20))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35734, 35733])).
% 7.72/5.91 tff(35736,plain,
% 7.72/5.91 ((~(v193(constB20) <=> (~((~v157(constB20)) | (~v194(constB20)))))) | (~v193(constB20)) | (~((~v157(constB20)) | (~v194(constB20))))),
% 7.72/5.91 inference(tautology,[status(thm)],[])).
% 7.72/5.91 tff(35737,plain,
% 7.72/5.91 (~v193(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35736, 35735, 35610])).
% 7.72/5.91 tff(35738,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB20) <=> (~((~v159(constB20)) | (~v194(constB20)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB20) <=> (~((~v159(constB20)) | (~v194(constB20))))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35739,plain,
% 7.72/5.91 ((v196(constB20) <=> (~((~v194(constB20)) | (~v159(constB20))))) <=> (v196(constB20) <=> (~((~v159(constB20)) | (~v194(constB20)))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35740,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB20) <=> (~((~v194(constB20)) | (~v159(constB20)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB20) <=> (~((~v159(constB20)) | (~v194(constB20))))))),
% 7.72/5.91 inference(monotonicity,[status(thm)],[35739])).
% 7.72/5.91 tff(35741,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB20) <=> (~((~v194(constB20)) | (~v159(constB20)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB20) <=> (~((~v159(constB20)) | (~v194(constB20))))))),
% 7.72/5.91 inference(transitivity,[status(thm)],[35740, 35738])).
% 7.72/5.91 tff(35742,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB20) <=> (~((~v194(constB20)) | (~v159(constB20)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35743,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB20) <=> (~((~v159(constB20)) | (~v194(constB20)))))),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[35742, 35741])).
% 7.72/5.91 tff(35744,plain,
% 7.72/5.91 (v196(constB20) <=> (~((~v159(constB20)) | (~v194(constB20))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35743, 15467])).
% 7.72/5.91 tff(35745,plain,
% 7.72/5.91 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB20) <=> v182(constB20))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35746,plain,
% 7.72/5.91 (v159(constB20) <=> v182(constB20)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35745, 15113])).
% 7.72/5.91 tff(35747,plain,
% 7.72/5.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB19, constB20)) | (v182(constB20) <=> v180(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB19, constB20)) | (v182(constB20) <=> v180(constB19)))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35748,plain,
% 7.72/5.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB19, constB20)) | (v182(constB20) <=> v180(constB19)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35749,plain,
% 7.72/5.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB19, constB20)) | (v182(constB20) <=> v180(constB19))),
% 7.72/5.91 inference(modus_ponens,[status(thm)],[35748, 35747])).
% 7.72/5.91 tff(35750,plain,
% 7.72/5.91 (v182(constB20) <=> v180(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35749, 3903, 15125])).
% 7.72/5.91 tff(35751,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB19) <=> (~((~v183(constB19)) | (~v184(constB19)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35752,plain,
% 7.72/5.91 (v180(constB19) <=> (~((~v183(constB19)) | (~v184(constB19))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35751, 15139])).
% 7.72/5.91 tff(35753,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB19) <=> (~((~v185(constB19)) | (~v161(constB19)))))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35754,plain,
% 7.72/5.91 (v184(constB19) <=> (~((~v185(constB19)) | (~v161(constB19))))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35753, 15151])).
% 7.72/5.91 tff(35755,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB19) <=> v163(constB19))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35756,plain,
% 7.72/5.91 (v161(constB19) <=> v163(constB19)),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35755, 15701])).
% 7.72/5.91 tff(35757,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB19) <=> (v145(constB19) | v167(constB19)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35758,plain,
% 7.72/5.91 (v166(constB19) <=> (v145(constB19) | v167(constB19))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35757, 15713])).
% 7.72/5.91 tff(35759,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB19) <=> (v142(constB19) | v168(constB19)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35760,plain,
% 7.72/5.91 (v167(constB19) <=> (v142(constB19) | v168(constB19))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35759, 15725])).
% 7.72/5.91 tff(35761,plain,
% 7.72/5.91 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB19) <=> (v143(constB19) | v144(constB19)))),
% 7.72/5.91 inference(quant_inst,[status(thm)],[])).
% 7.72/5.91 tff(35762,plain,
% 7.72/5.91 (v142(constB19) <=> (v143(constB19) | v144(constB19))),
% 7.72/5.91 inference(unit_resolution,[status(thm)],[35761, 221])).
% 7.72/5.91 tff(35763,plain,
% 7.72/5.91 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB19) <=> (~((~v88(constB19, 1)) | v88(constB19, 2) | v88(constB19, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB19) <=> (~((~v88(constB19, 1)) | v88(constB19, 2) | v88(constB19, 0)))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.91 tff(35764,plain,
% 7.72/5.91 ((v143(constB19) <=> (~(v88(constB19, 0) | v88(constB19, 2) | (~v88(constB19, 1))))) <=> (v143(constB19) <=> (~((~v88(constB19, 1)) | v88(constB19, 2) | v88(constB19, 0))))),
% 7.72/5.91 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35765,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB19) <=> (~(v88(constB19, 0) | v88(constB19, 2) | (~v88(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB19) <=> (~((~v88(constB19, 1)) | v88(constB19, 2) | v88(constB19, 0)))))),
% 7.72/5.92 inference(monotonicity,[status(thm)],[35764])).
% 7.72/5.92 tff(35766,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB19) <=> (~(v88(constB19, 0) | v88(constB19, 2) | (~v88(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB19) <=> (~((~v88(constB19, 1)) | v88(constB19, 2) | v88(constB19, 0)))))),
% 7.72/5.92 inference(transitivity,[status(thm)],[35765, 35763])).
% 7.72/5.92 tff(35767,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB19) <=> (~(v88(constB19, 0) | v88(constB19, 2) | (~v88(constB19, 1)))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35768,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB19) <=> (~((~v88(constB19, 1)) | v88(constB19, 2) | v88(constB19, 0))))),
% 7.72/5.92 inference(modus_ponens,[status(thm)],[35767, 35766])).
% 7.72/5.92 tff(35769,plain,
% 7.72/5.92 (v143(constB19) <=> (~((~v88(constB19, 1)) | v88(constB19, 2) | v88(constB19, 0)))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35768, 236])).
% 7.72/5.92 tff(35770,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB19, 1)) <=> v90(constB19, 1)) | ((~v88(constB19, 2)) <=> v90(constB19, 2)) | ((~v88(constB19, 0)) <=> v90(constB19, 0))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35771,plain,
% 7.72/5.92 (~(((~v88(constB19, 1)) <=> v90(constB19, 1)) | ((~v88(constB19, 2)) <=> v90(constB19, 2)) | ((~v88(constB19, 0)) <=> v90(constB19, 0)))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35770, 256])).
% 7.72/5.92 tff(35772,plain,
% 7.72/5.92 ((((~v88(constB19, 1)) <=> v90(constB19, 1)) | ((~v88(constB19, 2)) <=> v90(constB19, 2)) | ((~v88(constB19, 0)) <=> v90(constB19, 0))) | (~((~v88(constB19, 2)) <=> v90(constB19, 2)))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35773,plain,
% 7.72/5.92 (~((~v88(constB19, 2)) <=> v90(constB19, 2))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35772, 35771])).
% 7.72/5.92 tff(35774,plain,
% 7.72/5.92 (((~v88(constB19, 2)) <=> v90(constB19, 2)) | (~v88(constB19, 2)) | v90(constB19, 2)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35775,plain,
% 7.72/5.92 (~v88(constB19, 2)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35774, 6194, 35773])).
% 7.72/5.92 tff(35776,plain,
% 7.72/5.92 ((((~v88(constB19, 1)) <=> v90(constB19, 1)) | ((~v88(constB19, 2)) <=> v90(constB19, 2)) | ((~v88(constB19, 0)) <=> v90(constB19, 0))) | (~((~v88(constB19, 0)) <=> v90(constB19, 0)))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35777,plain,
% 7.72/5.92 (~((~v88(constB19, 0)) <=> v90(constB19, 0))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35776, 35771])).
% 7.72/5.92 tff(35778,plain,
% 7.72/5.92 (((~v88(constB19, 0)) <=> v90(constB19, 0)) | (~v88(constB19, 0)) | v90(constB19, 0)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35779,plain,
% 7.72/5.92 (~v88(constB19, 0)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35778, 6212, 35777])).
% 7.72/5.92 tff(35780,plain,
% 7.72/5.92 ((((~v88(constB19, 1)) <=> v90(constB19, 1)) | ((~v88(constB19, 2)) <=> v90(constB19, 2)) | ((~v88(constB19, 0)) <=> v90(constB19, 0))) | (~((~v88(constB19, 1)) <=> v90(constB19, 1)))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35781,plain,
% 7.72/5.92 (~((~v88(constB19, 1)) <=> v90(constB19, 1))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35780, 35771])).
% 7.72/5.92 tff(35782,plain,
% 7.72/5.92 (((~v88(constB19, 1)) <=> v90(constB19, 1)) | v88(constB19, 1) | (~v90(constB19, 1))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35783,plain,
% 7.72/5.92 (v88(constB19, 1)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35782, 6230, 35781])).
% 7.72/5.92 tff(35784,plain,
% 7.72/5.92 ((~((~v88(constB19, 1)) | v88(constB19, 2) | v88(constB19, 0))) | (~v88(constB19, 1)) | v88(constB19, 2) | v88(constB19, 0)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35785,plain,
% 7.72/5.92 (~((~v88(constB19, 1)) | v88(constB19, 2) | v88(constB19, 0))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35784, 35783, 35779, 35775])).
% 7.72/5.92 tff(35786,plain,
% 7.72/5.92 ((~(v143(constB19) <=> (~((~v88(constB19, 1)) | v88(constB19, 2) | v88(constB19, 0))))) | v143(constB19) | ((~v88(constB19, 1)) | v88(constB19, 2) | v88(constB19, 0))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35787,plain,
% 7.72/5.92 (v143(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35786, 35785, 35769])).
% 7.72/5.92 tff(35788,plain,
% 7.72/5.92 ((v143(constB19) | v144(constB19)) | (~v143(constB19))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35789,plain,
% 7.72/5.92 (v143(constB19) | v144(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35788, 35787])).
% 7.72/5.92 tff(35790,plain,
% 7.72/5.92 ((~(v142(constB19) <=> (v143(constB19) | v144(constB19)))) | v142(constB19) | (~(v143(constB19) | v144(constB19)))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35791,plain,
% 7.72/5.92 (v142(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35790, 35789, 35762])).
% 7.72/5.92 tff(35792,plain,
% 7.72/5.92 ((v142(constB19) | v168(constB19)) | (~v142(constB19))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35793,plain,
% 7.72/5.92 (v142(constB19) | v168(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35792, 35791])).
% 7.72/5.92 tff(35794,plain,
% 7.72/5.92 ((~(v167(constB19) <=> (v142(constB19) | v168(constB19)))) | v167(constB19) | (~(v142(constB19) | v168(constB19)))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35795,plain,
% 7.72/5.92 ((~(v167(constB19) <=> (v142(constB19) | v168(constB19)))) | v167(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35794, 35793])).
% 7.72/5.92 tff(35796,plain,
% 7.72/5.92 (v167(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35795, 35760])).
% 7.72/5.92 tff(35797,plain,
% 7.72/5.92 ((v145(constB19) | v167(constB19)) | (~v167(constB19))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35798,plain,
% 7.72/5.92 (v145(constB19) | v167(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35797, 35796])).
% 7.72/5.92 tff(35799,plain,
% 7.72/5.92 ((~(v166(constB19) <=> (v145(constB19) | v167(constB19)))) | v166(constB19) | (~(v145(constB19) | v167(constB19)))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35800,plain,
% 7.72/5.92 (v166(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35799, 35798, 35758])).
% 7.72/5.92 tff(35801,plain,
% 7.72/5.92 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB19)) | (v163(constB19) <=> v170(constB19)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB19)) | (v163(constB19) <=> v170(constB19)))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35802,plain,
% 7.72/5.92 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB19)) | (v163(constB19) <=> v170(constB19)))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35803,plain,
% 7.72/5.92 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB19)) | (v163(constB19) <=> v170(constB19))),
% 7.72/5.92 inference(modus_ponens,[status(thm)],[35802, 35801])).
% 7.72/5.92 tff(35804,plain,
% 7.72/5.92 ((~v166(constB19)) | (v163(constB19) <=> v170(constB19))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35803, 15777])).
% 7.72/5.92 tff(35805,plain,
% 7.72/5.92 (v163(constB19) <=> v170(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35804, 35800])).
% 7.72/5.92 tff(35806,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB19) <=> (~(v88(constB19, 1) | v88(constB19, 2) | (~v88(constB19, 0)))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35807,plain,
% 7.72/5.92 (v140(constB19) <=> (~(v88(constB19, 1) | v88(constB19, 2) | (~v88(constB19, 0))))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35806, 15814])).
% 7.72/5.92 tff(35808,plain,
% 7.72/5.92 ((v88(constB19, 1) | v88(constB19, 2) | (~v88(constB19, 0))) | v88(constB19, 0)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35809,plain,
% 7.72/5.92 (v88(constB19, 1) | v88(constB19, 2) | (~v88(constB19, 0))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35808, 35779])).
% 7.72/5.92 tff(35810,plain,
% 7.72/5.92 ((~(v140(constB19) <=> (~(v88(constB19, 1) | v88(constB19, 2) | (~v88(constB19, 0)))))) | (~v140(constB19)) | (~(v88(constB19, 1) | v88(constB19, 2) | (~v88(constB19, 0))))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35811,plain,
% 7.72/5.92 (~v140(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35810, 35809, 35807])).
% 7.72/5.92 tff(35812,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB19) <=> (~(v88(constB19, 0) | v88(constB19, 1) | v88(constB19, 2))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35813,plain,
% 7.72/5.92 (v139(constB19) <=> (~(v88(constB19, 0) | v88(constB19, 1) | v88(constB19, 2)))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35812, 15795])).
% 7.72/5.92 tff(35814,plain,
% 7.72/5.92 ((v88(constB19, 0) | v88(constB19, 1) | v88(constB19, 2)) | (~v88(constB19, 1))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35815,plain,
% 7.72/5.92 (v88(constB19, 0) | v88(constB19, 1) | v88(constB19, 2)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35814, 35783])).
% 7.72/5.92 tff(35816,plain,
% 7.72/5.92 ((~(v139(constB19) <=> (~(v88(constB19, 0) | v88(constB19, 1) | v88(constB19, 2))))) | (~v139(constB19)) | (~(v88(constB19, 0) | v88(constB19, 1) | v88(constB19, 2)))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35817,plain,
% 7.72/5.92 (~v139(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35816, 35815, 35813])).
% 7.72/5.92 tff(35818,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB19) | v139(constB19) | (~v170(constB19)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB19) | v139(constB19) | (~v170(constB19)))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35819,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB19) | v139(constB19) | (~v170(constB19)))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35820,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB19) | v139(constB19) | (~v170(constB19))),
% 7.72/5.92 inference(modus_ponens,[status(thm)],[35819, 35818])).
% 7.72/5.92 tff(35821,plain,
% 7.72/5.92 (v140(constB19) | v139(constB19) | (~v170(constB19))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35820, 15833])).
% 7.72/5.92 tff(35822,plain,
% 7.72/5.92 (~v170(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35821, 35817, 35811])).
% 7.72/5.92 tff(35823,plain,
% 7.72/5.92 ((~(v163(constB19) <=> v170(constB19))) | (~v163(constB19)) | v170(constB19)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35824,plain,
% 7.72/5.92 ((~(v163(constB19) <=> v170(constB19))) | (~v163(constB19))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35823, 35822])).
% 7.72/5.92 tff(35825,plain,
% 7.72/5.92 (~v163(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35824, 35805])).
% 7.72/5.92 tff(35826,plain,
% 7.72/5.92 ((~(v161(constB19) <=> v163(constB19))) | (~v161(constB19)) | v163(constB19)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35827,plain,
% 7.72/5.92 ((~(v161(constB19) <=> v163(constB19))) | (~v161(constB19))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35826, 35825])).
% 7.72/5.92 tff(35828,plain,
% 7.72/5.92 (~v161(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35827, 35756])).
% 7.72/5.92 tff(35829,plain,
% 7.72/5.92 (((~v185(constB19)) | (~v161(constB19))) | v161(constB19)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35830,plain,
% 7.72/5.92 ((~v185(constB19)) | (~v161(constB19))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35829, 35828])).
% 7.72/5.92 tff(35831,plain,
% 7.72/5.92 ((~(v184(constB19) <=> (~((~v185(constB19)) | (~v161(constB19)))))) | (~v184(constB19)) | (~((~v185(constB19)) | (~v161(constB19))))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35832,plain,
% 7.72/5.92 (~v184(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35831, 35830, 35754])).
% 7.72/5.92 tff(35833,plain,
% 7.72/5.92 (((~v183(constB19)) | (~v184(constB19))) | v184(constB19)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35834,plain,
% 7.72/5.92 ((~v183(constB19)) | (~v184(constB19))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35833, 35832])).
% 7.72/5.92 tff(35835,plain,
% 7.72/5.92 ((~(v180(constB19) <=> (~((~v183(constB19)) | (~v184(constB19)))))) | (~v180(constB19)) | (~((~v183(constB19)) | (~v184(constB19))))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35836,plain,
% 7.72/5.92 (~v180(constB19)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35835, 35834, 35752])).
% 7.72/5.92 tff(35837,plain,
% 7.72/5.92 ((~(v182(constB20) <=> v180(constB19))) | (~v182(constB20)) | v180(constB19)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35838,plain,
% 7.72/5.92 (~v182(constB20)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35837, 35836, 35750])).
% 7.72/5.92 tff(35839,plain,
% 7.72/5.92 ((~(v159(constB20) <=> v182(constB20))) | (~v159(constB20)) | v182(constB20)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35840,plain,
% 7.72/5.92 (~v159(constB20)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35839, 35838, 35746])).
% 7.72/5.92 tff(35841,plain,
% 7.72/5.92 (((~v159(constB20)) | (~v194(constB20))) | v159(constB20)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35842,plain,
% 7.72/5.92 ((~v159(constB20)) | (~v194(constB20))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35841, 35840])).
% 7.72/5.92 tff(35843,plain,
% 7.72/5.92 ((~(v196(constB20) <=> (~((~v159(constB20)) | (~v194(constB20)))))) | (~v196(constB20)) | (~((~v159(constB20)) | (~v194(constB20))))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35844,plain,
% 7.72/5.92 (~v196(constB20)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35843, 35842, 35744])).
% 7.72/5.92 tff(35845,plain,
% 7.72/5.92 ((~(v193(constB20) | v196(constB20))) | v193(constB20) | v196(constB20)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35846,plain,
% 7.72/5.92 (~(v193(constB20) | v196(constB20))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35845, 35844, 35737])).
% 7.72/5.92 tff(35847,plain,
% 7.72/5.92 ((~(v190(constB20) <=> (v193(constB20) | v196(constB20)))) | (~v190(constB20)) | (v193(constB20) | v196(constB20))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35848,plain,
% 7.72/5.92 (~v190(constB20)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35847, 35846, 35603])).
% 7.72/5.92 tff(35849,plain,
% 7.72/5.92 ((~(v192(constB21) <=> v190(constB20))) | (~v192(constB21)) | v190(constB20)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35850,plain,
% 7.72/5.92 (~v192(constB21)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35849, 35848, 35601])).
% 7.72/5.92 tff(35851,plain,
% 7.72/5.92 ((~(v157(constB21) <=> v192(constB21))) | (~v157(constB21)) | v192(constB21)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35852,plain,
% 7.72/5.92 (~v157(constB21)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35851, 35850, 35597])).
% 7.72/5.92 tff(35853,plain,
% 7.72/5.92 (((~v157(constB21)) | (~v202(constB21))) | v157(constB21)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35854,plain,
% 7.72/5.92 ((~v157(constB21)) | (~v202(constB21))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35853, 35852])).
% 7.72/5.92 tff(35855,plain,
% 7.72/5.92 ((~(v201(constB21) <=> (~((~v157(constB21)) | (~v202(constB21)))))) | (~v201(constB21)) | (~((~v157(constB21)) | (~v202(constB21))))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35856,plain,
% 7.72/5.92 (~v201(constB21)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35855, 35854, 35595])).
% 7.72/5.92 tff(35857,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB21) <=> (~((~v159(constB21)) | (~v202(constB21)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB21) <=> (~((~v159(constB21)) | (~v202(constB21))))))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35858,plain,
% 7.72/5.92 ((v205(constB21) <=> (~((~v202(constB21)) | (~v159(constB21))))) <=> (v205(constB21) <=> (~((~v159(constB21)) | (~v202(constB21)))))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35859,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB21) <=> (~((~v202(constB21)) | (~v159(constB21)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB21) <=> (~((~v159(constB21)) | (~v202(constB21))))))),
% 7.72/5.92 inference(monotonicity,[status(thm)],[35858])).
% 7.72/5.92 tff(35860,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB21) <=> (~((~v202(constB21)) | (~v159(constB21)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB21) <=> (~((~v159(constB21)) | (~v202(constB21))))))),
% 7.72/5.92 inference(transitivity,[status(thm)],[35859, 35857])).
% 7.72/5.92 tff(35861,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB21) <=> (~((~v202(constB21)) | (~v159(constB21)))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35862,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB21) <=> (~((~v159(constB21)) | (~v202(constB21)))))),
% 7.72/5.92 inference(modus_ponens,[status(thm)],[35861, 35860])).
% 7.72/5.92 tff(35863,plain,
% 7.72/5.92 (v205(constB21) <=> (~((~v159(constB21)) | (~v202(constB21))))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35862, 138])).
% 7.72/5.92 tff(35864,plain,
% 7.72/5.92 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB21) <=> v182(constB21))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35865,plain,
% 7.72/5.92 (v159(constB21) <=> v182(constB21)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35864, 15113])).
% 7.72/5.92 tff(35866,plain,
% 7.72/5.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB20, constB21)) | (v182(constB21) <=> v180(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB20, constB21)) | (v182(constB21) <=> v180(constB20)))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35867,plain,
% 7.72/5.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB20, constB21)) | (v182(constB21) <=> v180(constB20)))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35868,plain,
% 7.72/5.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB20, constB21)) | (v182(constB21) <=> v180(constB20))),
% 7.72/5.92 inference(modus_ponens,[status(thm)],[35867, 35866])).
% 7.72/5.92 tff(35869,plain,
% 7.72/5.92 (v182(constB21) <=> v180(constB20)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35868, 3867, 15125])).
% 7.72/5.92 tff(35870,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB20) <=> (~((~v183(constB20)) | (~v184(constB20)))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35871,plain,
% 7.72/5.92 (v180(constB20) <=> (~((~v183(constB20)) | (~v184(constB20))))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35870, 15139])).
% 7.72/5.92 tff(35872,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB20) <=> (~((~v185(constB20)) | (~v161(constB20)))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35873,plain,
% 7.72/5.92 (v184(constB20) <=> (~((~v185(constB20)) | (~v161(constB20))))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35872, 15151])).
% 7.72/5.92 tff(35874,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35875,plain,
% 7.72/5.92 (v185(constB20) <=> (~((~v39(constB20)) | (~v9(constB20))))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35874, 93])).
% 7.72/5.92 tff(35876,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB20)) <=> v1(constB20))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35877,plain,
% 7.72/5.92 ((~v39(constB20)) <=> v1(constB20)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35876, 102])).
% 7.72/5.92 tff(35878,plain,
% 7.72/5.92 ((~((~v39(constB20)) <=> v1(constB20))) | (~v39(constB20)) | (~v1(constB20))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35879,plain,
% 7.72/5.92 ((~((~v39(constB20)) <=> v1(constB20))) | (~v39(constB20))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35878, 6272])).
% 7.72/5.92 tff(35880,plain,
% 7.72/5.92 (~v39(constB20)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35879, 35877])).
% 7.72/5.92 tff(35881,plain,
% 7.72/5.92 (((~v39(constB20)) | (~v9(constB20))) | v39(constB20)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35882,plain,
% 7.72/5.92 ((~v39(constB20)) | (~v9(constB20))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35881, 35880])).
% 7.72/5.92 tff(35883,plain,
% 7.72/5.92 ((~(v185(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))) | (~v185(constB20)) | (~((~v39(constB20)) | (~v9(constB20))))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35884,plain,
% 7.72/5.92 ((~(v185(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))) | (~v185(constB20))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35883, 35882])).
% 7.72/5.92 tff(35885,plain,
% 7.72/5.92 (~v185(constB20)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35884, 35875])).
% 7.72/5.92 tff(35886,plain,
% 7.72/5.92 (((~v185(constB20)) | (~v161(constB20))) | v185(constB20)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35887,plain,
% 7.72/5.92 ((~v185(constB20)) | (~v161(constB20))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35886, 35885])).
% 7.72/5.92 tff(35888,plain,
% 7.72/5.92 ((~(v184(constB20) <=> (~((~v185(constB20)) | (~v161(constB20)))))) | (~v184(constB20)) | (~((~v185(constB20)) | (~v161(constB20))))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35889,plain,
% 7.72/5.92 ((~(v184(constB20) <=> (~((~v185(constB20)) | (~v161(constB20)))))) | (~v184(constB20))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35888, 35887])).
% 7.72/5.92 tff(35890,plain,
% 7.72/5.92 (~v184(constB20)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35889, 35873])).
% 7.72/5.92 tff(35891,plain,
% 7.72/5.92 (((~v183(constB20)) | (~v184(constB20))) | v184(constB20)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35892,plain,
% 7.72/5.92 ((~v183(constB20)) | (~v184(constB20))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35891, 35890])).
% 7.72/5.92 tff(35893,plain,
% 7.72/5.92 ((~(v180(constB20) <=> (~((~v183(constB20)) | (~v184(constB20)))))) | (~v180(constB20)) | (~((~v183(constB20)) | (~v184(constB20))))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35894,plain,
% 7.72/5.92 (~v180(constB20)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35893, 35892, 35871])).
% 7.72/5.92 tff(35895,plain,
% 7.72/5.92 ((~(v182(constB21) <=> v180(constB20))) | (~v182(constB21)) | v180(constB20)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35896,plain,
% 7.72/5.92 (~v182(constB21)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35895, 35894, 35869])).
% 7.72/5.92 tff(35897,plain,
% 7.72/5.92 ((~(v159(constB21) <=> v182(constB21))) | (~v159(constB21)) | v182(constB21)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35898,plain,
% 7.72/5.92 (~v159(constB21)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35897, 35896, 35865])).
% 7.72/5.92 tff(35899,plain,
% 7.72/5.92 (((~v159(constB21)) | (~v202(constB21))) | v159(constB21)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35900,plain,
% 7.72/5.92 ((~v159(constB21)) | (~v202(constB21))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35899, 35898])).
% 7.72/5.92 tff(35901,plain,
% 7.72/5.92 ((~(v205(constB21) <=> (~((~v159(constB21)) | (~v202(constB21)))))) | (~v205(constB21)) | (~((~v159(constB21)) | (~v202(constB21))))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35902,plain,
% 7.72/5.92 (~v205(constB21)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35901, 35900, 35863])).
% 7.72/5.92 tff(35903,plain,
% 7.72/5.92 ((~(v201(constB21) | v205(constB21))) | v201(constB21) | v205(constB21)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35904,plain,
% 7.72/5.92 ((~(v201(constB21) | v205(constB21))) | v201(constB21)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35903, 35902])).
% 7.72/5.92 tff(35905,plain,
% 7.72/5.92 (~(v201(constB21) | v205(constB21))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35904, 35856])).
% 7.72/5.92 tff(35906,plain,
% 7.72/5.92 ((~(v200(constB21) <=> (v201(constB21) | v205(constB21)))) | (~v200(constB21)) | (v201(constB21) | v205(constB21))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35907,plain,
% 7.72/5.92 (~v200(constB21)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35906, 35905, 35588])).
% 7.72/5.92 tff(35908,plain,
% 7.72/5.92 ($false),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35907, 35586])).
% 7.72/5.92 tff(35909,plain,(~(constB21 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.72/5.92 tff(35910,assumption,(constB94 = VarCurr!0), introduced(assumption)).
% 7.72/5.92 tff(35911,plain,
% 7.72/5.92 (v200(constB94) <=> v200(VarCurr!0)),
% 7.72/5.92 inference(monotonicity,[status(thm)],[35910])).
% 7.72/5.92 tff(35912,plain,
% 7.72/5.92 (v200(VarCurr!0) <=> v200(constB94)),
% 7.72/5.92 inference(symmetry,[status(thm)],[35911])).
% 7.72/5.92 tff(35913,plain,
% 7.72/5.92 (v200(constB94)),
% 7.72/5.92 inference(modus_ponens,[status(thm)],[27, 35912])).
% 7.72/5.92 tff(35914,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB94) <=> (v201(constB94) | v205(constB94)))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35915,plain,
% 7.72/5.92 (v200(constB94) <=> (v201(constB94) | v205(constB94))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35914, 35])).
% 7.72/5.92 tff(35916,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB94) <=> (~((~v157(constB94)) | (~v202(constB94)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB94) <=> (~((~v157(constB94)) | (~v202(constB94))))))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35917,plain,
% 7.72/5.92 ((v201(constB94) <=> (~((~v202(constB94)) | (~v157(constB94))))) <=> (v201(constB94) <=> (~((~v157(constB94)) | (~v202(constB94)))))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35918,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB94) <=> (~((~v202(constB94)) | (~v157(constB94)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB94) <=> (~((~v157(constB94)) | (~v202(constB94))))))),
% 7.72/5.92 inference(monotonicity,[status(thm)],[35917])).
% 7.72/5.92 tff(35919,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB94) <=> (~((~v202(constB94)) | (~v157(constB94)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB94) <=> (~((~v157(constB94)) | (~v202(constB94))))))),
% 7.72/5.92 inference(transitivity,[status(thm)],[35918, 35916])).
% 7.72/5.92 tff(35920,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB94) <=> (~((~v202(constB94)) | (~v157(constB94)))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35921,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB94) <=> (~((~v157(constB94)) | (~v202(constB94)))))),
% 7.72/5.92 inference(modus_ponens,[status(thm)],[35920, 35919])).
% 7.72/5.92 tff(35922,plain,
% 7.72/5.92 (v201(constB94) <=> (~((~v157(constB94)) | (~v202(constB94))))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35921, 47])).
% 7.72/5.92 tff(35923,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB94) <=> (~((~v183(constB94)) | (~v203(constB94)))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35924,plain,
% 7.72/5.92 (v202(constB94) <=> (~((~v183(constB94)) | (~v203(constB94))))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35923, 64])).
% 7.72/5.92 tff(35925,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB94) <=> (~((~v185(constB94)) | (~v204(constB94)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB94) <=> (~((~v185(constB94)) | (~v204(constB94))))))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35926,plain,
% 7.72/5.92 ((v203(constB94) <=> (~((~v204(constB94)) | (~v185(constB94))))) <=> (v203(constB94) <=> (~((~v185(constB94)) | (~v204(constB94)))))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35927,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB94) <=> (~((~v204(constB94)) | (~v185(constB94)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB94) <=> (~((~v185(constB94)) | (~v204(constB94))))))),
% 7.72/5.92 inference(monotonicity,[status(thm)],[35926])).
% 7.72/5.92 tff(35928,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB94) <=> (~((~v204(constB94)) | (~v185(constB94)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB94) <=> (~((~v185(constB94)) | (~v204(constB94))))))),
% 7.72/5.92 inference(transitivity,[status(thm)],[35927, 35925])).
% 7.72/5.92 tff(35929,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB94) <=> (~((~v204(constB94)) | (~v185(constB94)))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35930,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB94) <=> (~((~v185(constB94)) | (~v204(constB94)))))),
% 7.72/5.92 inference(modus_ponens,[status(thm)],[35929, 35928])).
% 7.72/5.92 tff(35931,plain,
% 7.72/5.92 (v203(constB94) <=> (~((~v185(constB94)) | (~v204(constB94))))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35930, 76])).
% 7.72/5.92 tff(35932,plain,
% 7.72/5.92 (((~v185(constB94)) | (~v204(constB94))) | v185(constB94)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35933,plain,
% 7.72/5.92 ((~v185(constB94)) | (~v204(constB94))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35932, 29219])).
% 7.72/5.92 tff(35934,plain,
% 7.72/5.92 ((~(v203(constB94) <=> (~((~v185(constB94)) | (~v204(constB94)))))) | (~v203(constB94)) | (~((~v185(constB94)) | (~v204(constB94))))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35935,plain,
% 7.72/5.92 ((~(v203(constB94) <=> (~((~v185(constB94)) | (~v204(constB94)))))) | (~v203(constB94))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35934, 35933])).
% 7.72/5.92 tff(35936,plain,
% 7.72/5.92 (~v203(constB94)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35935, 35931])).
% 7.72/5.92 tff(35937,plain,
% 7.72/5.92 (((~v183(constB94)) | (~v203(constB94))) | v203(constB94)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35938,plain,
% 7.72/5.92 ((~v183(constB94)) | (~v203(constB94))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35937, 35936])).
% 7.72/5.92 tff(35939,plain,
% 7.72/5.92 ((~(v202(constB94) <=> (~((~v183(constB94)) | (~v203(constB94)))))) | (~v202(constB94)) | (~((~v183(constB94)) | (~v203(constB94))))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35940,plain,
% 7.72/5.92 (~v202(constB94)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35939, 35938, 35924])).
% 7.72/5.92 tff(35941,plain,
% 7.72/5.92 (((~v157(constB94)) | (~v202(constB94))) | v202(constB94)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35942,plain,
% 7.72/5.92 ((~v157(constB94)) | (~v202(constB94))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35941, 35940])).
% 7.72/5.92 tff(35943,plain,
% 7.72/5.92 ((~(v201(constB94) <=> (~((~v157(constB94)) | (~v202(constB94)))))) | (~v201(constB94)) | (~((~v157(constB94)) | (~v202(constB94))))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35944,plain,
% 7.72/5.92 (~v201(constB94)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35943, 35942, 35922])).
% 7.72/5.92 tff(35945,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB94) <=> (~((~v159(constB94)) | (~v202(constB94)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB94) <=> (~((~v159(constB94)) | (~v202(constB94))))))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35946,plain,
% 7.72/5.92 ((v205(constB94) <=> (~((~v202(constB94)) | (~v159(constB94))))) <=> (v205(constB94) <=> (~((~v159(constB94)) | (~v202(constB94)))))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35947,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB94) <=> (~((~v202(constB94)) | (~v159(constB94)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB94) <=> (~((~v159(constB94)) | (~v202(constB94))))))),
% 7.72/5.92 inference(monotonicity,[status(thm)],[35946])).
% 7.72/5.92 tff(35948,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB94) <=> (~((~v202(constB94)) | (~v159(constB94)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB94) <=> (~((~v159(constB94)) | (~v202(constB94))))))),
% 7.72/5.92 inference(transitivity,[status(thm)],[35947, 35945])).
% 7.72/5.92 tff(35949,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB94) <=> (~((~v202(constB94)) | (~v159(constB94)))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35950,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB94) <=> (~((~v159(constB94)) | (~v202(constB94)))))),
% 7.72/5.92 inference(modus_ponens,[status(thm)],[35949, 35948])).
% 7.72/5.92 tff(35951,plain,
% 7.72/5.92 (v205(constB94) <=> (~((~v159(constB94)) | (~v202(constB94))))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35950, 138])).
% 7.72/5.92 tff(35952,plain,
% 7.72/5.92 (((~v159(constB94)) | (~v202(constB94))) | v202(constB94)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35953,plain,
% 7.72/5.92 ((~v159(constB94)) | (~v202(constB94))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35952, 35940])).
% 7.72/5.92 tff(35954,plain,
% 7.72/5.92 ((~(v205(constB94) <=> (~((~v159(constB94)) | (~v202(constB94)))))) | (~v205(constB94)) | (~((~v159(constB94)) | (~v202(constB94))))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35955,plain,
% 7.72/5.92 (~v205(constB94)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35954, 35953, 35951])).
% 7.72/5.92 tff(35956,plain,
% 7.72/5.92 ((~(v201(constB94) | v205(constB94))) | v201(constB94) | v205(constB94)),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35957,plain,
% 7.72/5.92 (~(v201(constB94) | v205(constB94))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35956, 35955, 35944])).
% 7.72/5.92 tff(35958,plain,
% 7.72/5.92 ((~(v200(constB94) <=> (v201(constB94) | v205(constB94)))) | (~v200(constB94)) | (v201(constB94) | v205(constB94))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35959,plain,
% 7.72/5.92 ((~(v200(constB94) <=> (v201(constB94) | v205(constB94)))) | (~v200(constB94))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35958, 35957])).
% 7.72/5.92 tff(35960,plain,
% 7.72/5.92 (~v200(constB94)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35959, 35915])).
% 7.72/5.92 tff(35961,plain,
% 7.72/5.92 ($false),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35960, 35913])).
% 7.72/5.92 tff(35962,plain,(~(constB94 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.72/5.92 tff(35963,assumption,(constB189 = VarCurr!0), introduced(assumption)).
% 7.72/5.92 tff(35964,plain,
% 7.72/5.92 (v200(constB189) <=> v200(VarCurr!0)),
% 7.72/5.92 inference(monotonicity,[status(thm)],[35963])).
% 7.72/5.92 tff(35965,plain,
% 7.72/5.92 (v200(VarCurr!0) <=> v200(constB189)),
% 7.72/5.92 inference(symmetry,[status(thm)],[35964])).
% 7.72/5.92 tff(35966,plain,
% 7.72/5.92 (v200(constB189)),
% 7.72/5.92 inference(modus_ponens,[status(thm)],[27, 35965])).
% 7.72/5.92 tff(35967,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB189) <=> (v201(constB189) | v205(constB189)))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35968,plain,
% 7.72/5.92 (v200(constB189) <=> (v201(constB189) | v205(constB189))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35967, 35])).
% 7.72/5.92 tff(35969,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB189) <=> (~((~v157(constB189)) | (~v202(constB189)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB189) <=> (~((~v157(constB189)) | (~v202(constB189))))))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35970,plain,
% 7.72/5.92 ((v201(constB189) <=> (~((~v202(constB189)) | (~v157(constB189))))) <=> (v201(constB189) <=> (~((~v157(constB189)) | (~v202(constB189)))))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35971,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB189) <=> (~((~v202(constB189)) | (~v157(constB189)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB189) <=> (~((~v157(constB189)) | (~v202(constB189))))))),
% 7.72/5.92 inference(monotonicity,[status(thm)],[35970])).
% 7.72/5.92 tff(35972,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB189) <=> (~((~v202(constB189)) | (~v157(constB189)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB189) <=> (~((~v157(constB189)) | (~v202(constB189))))))),
% 7.72/5.92 inference(transitivity,[status(thm)],[35971, 35969])).
% 7.72/5.92 tff(35973,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB189) <=> (~((~v202(constB189)) | (~v157(constB189)))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35974,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB189) <=> (~((~v157(constB189)) | (~v202(constB189)))))),
% 7.72/5.92 inference(modus_ponens,[status(thm)],[35973, 35972])).
% 7.72/5.92 tff(35975,plain,
% 7.72/5.92 (v201(constB189) <=> (~((~v157(constB189)) | (~v202(constB189))))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35974, 47])).
% 7.72/5.92 tff(35976,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB189) <=> (~((~v183(constB189)) | (~v203(constB189)))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35977,plain,
% 7.72/5.92 (v202(constB189) <=> (~((~v183(constB189)) | (~v203(constB189))))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35976, 64])).
% 7.72/5.92 tff(35978,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB189) <=> (~((~v185(constB189)) | (~v204(constB189)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB189) <=> (~((~v185(constB189)) | (~v204(constB189))))))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35979,plain,
% 7.72/5.92 ((v203(constB189) <=> (~((~v204(constB189)) | (~v185(constB189))))) <=> (v203(constB189) <=> (~((~v185(constB189)) | (~v204(constB189)))))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(35980,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB189) <=> (~((~v204(constB189)) | (~v185(constB189)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB189) <=> (~((~v185(constB189)) | (~v204(constB189))))))),
% 7.72/5.92 inference(monotonicity,[status(thm)],[35979])).
% 7.72/5.92 tff(35981,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB189) <=> (~((~v204(constB189)) | (~v185(constB189)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB189) <=> (~((~v185(constB189)) | (~v204(constB189))))))),
% 7.72/5.92 inference(transitivity,[status(thm)],[35980, 35978])).
% 7.72/5.92 tff(35982,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB189) <=> (~((~v204(constB189)) | (~v185(constB189)))))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35983,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB189) <=> (~((~v185(constB189)) | (~v204(constB189)))))),
% 7.72/5.92 inference(modus_ponens,[status(thm)],[35982, 35981])).
% 7.72/5.92 tff(35984,plain,
% 7.72/5.92 (v203(constB189) <=> (~((~v185(constB189)) | (~v204(constB189))))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35983, 76])).
% 7.72/5.92 tff(35985,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))) | ((~v204(constB189)) <=> v84(constB189))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35986,plain,
% 7.72/5.92 ((~v204(constB189)) <=> v84(constB189)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35985, 185])).
% 7.72/5.92 tff(35987,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB189) <=> v86(constB189))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35988,plain,
% 7.72/5.92 (v84(constB189) <=> v86(constB189)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35987, 194])).
% 7.72/5.92 tff(35989,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB189) <=> (v136(constB189) | v145(constB189)))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35990,plain,
% 7.72/5.92 (v135(constB189) <=> (v136(constB189) | v145(constB189))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35989, 203])).
% 7.72/5.92 tff(35991,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB189) <=> (v137(constB189) | v142(constB189)))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(35992,plain,
% 7.72/5.92 (v136(constB189) <=> (v137(constB189) | v142(constB189))),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35991, 212])).
% 7.72/5.92 tff(35993,plain,
% 7.72/5.92 ((v137(constB189) | v142(constB189)) | (~v142(constB189))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35994,plain,
% 7.72/5.92 (v137(constB189) | v142(constB189)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35993, 23394])).
% 7.72/5.92 tff(35995,plain,
% 7.72/5.92 ((~(v136(constB189) <=> (v137(constB189) | v142(constB189)))) | v136(constB189) | (~(v137(constB189) | v142(constB189)))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35996,plain,
% 7.72/5.92 ((~(v136(constB189) <=> (v137(constB189) | v142(constB189)))) | v136(constB189)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35995, 35994])).
% 7.72/5.92 tff(35997,plain,
% 7.72/5.92 (v136(constB189)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35996, 35992])).
% 7.72/5.92 tff(35998,plain,
% 7.72/5.92 ((v136(constB189) | v145(constB189)) | (~v136(constB189))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(35999,plain,
% 7.72/5.92 (v136(constB189) | v145(constB189)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[35998, 35997])).
% 7.72/5.92 tff(36000,plain,
% 7.72/5.92 ((~(v135(constB189) <=> (v136(constB189) | v145(constB189)))) | v135(constB189) | (~(v136(constB189) | v145(constB189)))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(36001,plain,
% 7.72/5.92 (v135(constB189)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[36000, 35999, 35990])).
% 7.72/5.92 tff(36002,plain,
% 7.72/5.92 (((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB189)) | (v86(constB189) <=> v148(constB189)))) <=> ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB189)) | (v86(constB189) <=> v148(constB189)))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(36003,plain,
% 7.72/5.92 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB189)) | (v86(constB189) <=> v148(constB189)))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(36004,plain,
% 7.72/5.92 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB189)) | (v86(constB189) <=> v148(constB189))),
% 7.72/5.92 inference(modus_ponens,[status(thm)],[36003, 36002])).
% 7.72/5.92 tff(36005,plain,
% 7.72/5.92 (v86(constB189) <=> v148(constB189)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[36004, 15057, 36001])).
% 7.72/5.92 tff(36006,plain,
% 7.72/5.92 (((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB189) | (~v142(constB189)))) <=> ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB189) | (~v142(constB189)))),
% 7.72/5.92 inference(rewrite,[status(thm)],[])).
% 7.72/5.92 tff(36007,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB189) | (~v142(constB189)))),
% 7.72/5.92 inference(quant_inst,[status(thm)],[])).
% 7.72/5.92 tff(36008,plain,
% 7.72/5.92 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB189) | (~v142(constB189))),
% 7.72/5.92 inference(modus_ponens,[status(thm)],[36007, 36006])).
% 7.72/5.92 tff(36009,plain,
% 7.72/5.92 (v148(constB189)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[36008, 15071, 23394])).
% 7.72/5.92 tff(36010,plain,
% 7.72/5.92 ((~(v86(constB189) <=> v148(constB189))) | v86(constB189) | (~v148(constB189))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(36011,plain,
% 7.72/5.92 ((~(v86(constB189) <=> v148(constB189))) | v86(constB189)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[36010, 36009])).
% 7.72/5.92 tff(36012,plain,
% 7.72/5.92 (v86(constB189)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[36011, 36005])).
% 7.72/5.92 tff(36013,plain,
% 7.72/5.92 ((~(v84(constB189) <=> v86(constB189))) | v84(constB189) | (~v86(constB189))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.92 tff(36014,plain,
% 7.72/5.92 ((~(v84(constB189) <=> v86(constB189))) | v84(constB189)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[36013, 36012])).
% 7.72/5.92 tff(36015,plain,
% 7.72/5.92 (v84(constB189)),
% 7.72/5.92 inference(unit_resolution,[status(thm)],[36014, 35988])).
% 7.72/5.92 tff(36016,plain,
% 7.72/5.92 ((~((~v204(constB189)) <=> v84(constB189))) | (~v204(constB189)) | (~v84(constB189))),
% 7.72/5.92 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36017,plain,
% 7.72/5.93 ((~((~v204(constB189)) <=> v84(constB189))) | (~v204(constB189))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36016, 36015])).
% 7.72/5.93 tff(36018,plain,
% 7.72/5.93 (~v204(constB189)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36017, 35986])).
% 7.72/5.93 tff(36019,plain,
% 7.72/5.93 (((~v185(constB189)) | (~v204(constB189))) | v204(constB189)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36020,plain,
% 7.72/5.93 ((~v185(constB189)) | (~v204(constB189))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36019, 36018])).
% 7.72/5.93 tff(36021,plain,
% 7.72/5.93 ((~(v203(constB189) <=> (~((~v185(constB189)) | (~v204(constB189)))))) | (~v203(constB189)) | (~((~v185(constB189)) | (~v204(constB189))))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36022,plain,
% 7.72/5.93 (~v203(constB189)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36021, 36020, 35984])).
% 7.72/5.93 tff(36023,plain,
% 7.72/5.93 (((~v183(constB189)) | (~v203(constB189))) | v203(constB189)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36024,plain,
% 7.72/5.93 ((~v183(constB189)) | (~v203(constB189))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36023, 36022])).
% 7.72/5.93 tff(36025,plain,
% 7.72/5.93 ((~(v202(constB189) <=> (~((~v183(constB189)) | (~v203(constB189)))))) | (~v202(constB189)) | (~((~v183(constB189)) | (~v203(constB189))))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36026,plain,
% 7.72/5.93 (~v202(constB189)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36025, 36024, 35977])).
% 7.72/5.93 tff(36027,plain,
% 7.72/5.93 (((~v157(constB189)) | (~v202(constB189))) | v202(constB189)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36028,plain,
% 7.72/5.93 ((~v157(constB189)) | (~v202(constB189))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36027, 36026])).
% 7.72/5.93 tff(36029,plain,
% 7.72/5.93 ((~(v201(constB189) <=> (~((~v157(constB189)) | (~v202(constB189)))))) | (~v201(constB189)) | (~((~v157(constB189)) | (~v202(constB189))))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36030,plain,
% 7.72/5.93 (~v201(constB189)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36029, 36028, 35975])).
% 7.72/5.93 tff(36031,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB189) <=> (~((~v159(constB189)) | (~v202(constB189)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB189) <=> (~((~v159(constB189)) | (~v202(constB189))))))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36032,plain,
% 7.72/5.93 ((v205(constB189) <=> (~((~v202(constB189)) | (~v159(constB189))))) <=> (v205(constB189) <=> (~((~v159(constB189)) | (~v202(constB189)))))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36033,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB189) <=> (~((~v202(constB189)) | (~v159(constB189)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB189) <=> (~((~v159(constB189)) | (~v202(constB189))))))),
% 7.72/5.93 inference(monotonicity,[status(thm)],[36032])).
% 7.72/5.93 tff(36034,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB189) <=> (~((~v202(constB189)) | (~v159(constB189)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB189) <=> (~((~v159(constB189)) | (~v202(constB189))))))),
% 7.72/5.93 inference(transitivity,[status(thm)],[36033, 36031])).
% 7.72/5.93 tff(36035,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB189) <=> (~((~v202(constB189)) | (~v159(constB189)))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36036,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB189) <=> (~((~v159(constB189)) | (~v202(constB189)))))),
% 7.72/5.93 inference(modus_ponens,[status(thm)],[36035, 36034])).
% 7.72/5.93 tff(36037,plain,
% 7.72/5.93 (v205(constB189) <=> (~((~v159(constB189)) | (~v202(constB189))))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36036, 138])).
% 7.72/5.93 tff(36038,plain,
% 7.72/5.93 (((~v159(constB189)) | (~v202(constB189))) | v159(constB189)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36039,plain,
% 7.72/5.93 ((~v159(constB189)) | (~v202(constB189))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36038, 16540])).
% 7.72/5.93 tff(36040,plain,
% 7.72/5.93 ((~(v205(constB189) <=> (~((~v159(constB189)) | (~v202(constB189)))))) | (~v205(constB189)) | (~((~v159(constB189)) | (~v202(constB189))))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36041,plain,
% 7.72/5.93 (~v205(constB189)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36040, 36039, 36037])).
% 7.72/5.93 tff(36042,plain,
% 7.72/5.93 ((~(v201(constB189) | v205(constB189))) | v201(constB189) | v205(constB189)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36043,plain,
% 7.72/5.93 ((~(v201(constB189) | v205(constB189))) | v201(constB189)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36042, 36041])).
% 7.72/5.93 tff(36044,plain,
% 7.72/5.93 (~(v201(constB189) | v205(constB189))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36043, 36030])).
% 7.72/5.93 tff(36045,plain,
% 7.72/5.93 ((~(v200(constB189) <=> (v201(constB189) | v205(constB189)))) | (~v200(constB189)) | (v201(constB189) | v205(constB189))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36046,plain,
% 7.72/5.93 (~v200(constB189)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36045, 36044, 35968])).
% 7.72/5.93 tff(36047,plain,
% 7.72/5.93 ($false),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36046, 35966])).
% 7.72/5.93 tff(36048,plain,(~(constB189 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.72/5.93 tff(36049,assumption,(constB167 = VarCurr!0), introduced(assumption)).
% 7.72/5.93 tff(36050,plain,
% 7.72/5.93 (v200(constB167) <=> v200(VarCurr!0)),
% 7.72/5.93 inference(monotonicity,[status(thm)],[36049])).
% 7.72/5.93 tff(36051,plain,
% 7.72/5.93 (v200(VarCurr!0) <=> v200(constB167)),
% 7.72/5.93 inference(symmetry,[status(thm)],[36050])).
% 7.72/5.93 tff(36052,plain,
% 7.72/5.93 (v200(constB167)),
% 7.72/5.93 inference(modus_ponens,[status(thm)],[27, 36051])).
% 7.72/5.93 tff(36053,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB167) <=> (v201(constB167) | v205(constB167)))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36054,plain,
% 7.72/5.93 (v200(constB167) <=> (v201(constB167) | v205(constB167))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36053, 35])).
% 7.72/5.93 tff(36055,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB167) <=> (~((~v157(constB167)) | (~v202(constB167)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB167) <=> (~((~v157(constB167)) | (~v202(constB167))))))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36056,plain,
% 7.72/5.93 ((v201(constB167) <=> (~((~v202(constB167)) | (~v157(constB167))))) <=> (v201(constB167) <=> (~((~v157(constB167)) | (~v202(constB167)))))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36057,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB167) <=> (~((~v202(constB167)) | (~v157(constB167)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB167) <=> (~((~v157(constB167)) | (~v202(constB167))))))),
% 7.72/5.93 inference(monotonicity,[status(thm)],[36056])).
% 7.72/5.93 tff(36058,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB167) <=> (~((~v202(constB167)) | (~v157(constB167)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB167) <=> (~((~v157(constB167)) | (~v202(constB167))))))),
% 7.72/5.93 inference(transitivity,[status(thm)],[36057, 36055])).
% 7.72/5.93 tff(36059,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB167) <=> (~((~v202(constB167)) | (~v157(constB167)))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36060,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB167) <=> (~((~v157(constB167)) | (~v202(constB167)))))),
% 7.72/5.93 inference(modus_ponens,[status(thm)],[36059, 36058])).
% 7.72/5.93 tff(36061,plain,
% 7.72/5.93 (v201(constB167) <=> (~((~v157(constB167)) | (~v202(constB167))))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36060, 47])).
% 7.72/5.93 tff(36062,plain,
% 7.72/5.93 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB167) <=> v192(constB167))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36063,plain,
% 7.72/5.93 (v157(constB167) <=> v192(constB167)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36062, 15407])).
% 7.72/5.93 tff(36064,plain,
% 7.72/5.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB166, constB167)) | (v192(constB167) <=> v190(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB166, constB167)) | (v192(constB167) <=> v190(constB166)))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36065,plain,
% 7.72/5.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB166, constB167)) | (v192(constB167) <=> v190(constB166)))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36066,plain,
% 7.72/5.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB166, constB167)) | (v192(constB167) <=> v190(constB166))),
% 7.72/5.93 inference(modus_ponens,[status(thm)],[36065, 36064])).
% 7.72/5.93 tff(36067,plain,
% 7.72/5.93 (v192(constB167) <=> v190(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36066, 17369, 15419])).
% 7.72/5.93 tff(36068,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB166) <=> (v193(constB166) | v196(constB166)))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36069,plain,
% 7.72/5.93 (v190(constB166) <=> (v193(constB166) | v196(constB166))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36068, 15430])).
% 7.72/5.93 tff(36070,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB166) <=> (~((~v157(constB166)) | (~v194(constB166)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB166) <=> (~((~v157(constB166)) | (~v194(constB166))))))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36071,plain,
% 7.72/5.93 ((v193(constB166) <=> (~((~v194(constB166)) | (~v157(constB166))))) <=> (v193(constB166) <=> (~((~v157(constB166)) | (~v194(constB166)))))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36072,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB166) <=> (~((~v194(constB166)) | (~v157(constB166)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB166) <=> (~((~v157(constB166)) | (~v194(constB166))))))),
% 7.72/5.93 inference(monotonicity,[status(thm)],[36071])).
% 7.72/5.93 tff(36073,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB166) <=> (~((~v194(constB166)) | (~v157(constB166)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB166) <=> (~((~v157(constB166)) | (~v194(constB166))))))),
% 7.72/5.93 inference(transitivity,[status(thm)],[36072, 36070])).
% 7.72/5.93 tff(36074,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB166) <=> (~((~v194(constB166)) | (~v157(constB166)))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36075,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB166) <=> (~((~v157(constB166)) | (~v194(constB166)))))),
% 7.72/5.93 inference(modus_ponens,[status(thm)],[36074, 36073])).
% 7.72/5.93 tff(36076,plain,
% 7.72/5.93 (v193(constB166) <=> (~((~v157(constB166)) | (~v194(constB166))))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36075, 15442])).
% 7.72/5.93 tff(36077,plain,
% 7.72/5.93 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB166) <=> v192(constB166))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36078,plain,
% 7.72/5.93 (v157(constB166) <=> v192(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36077, 15407])).
% 7.72/5.93 tff(36079,plain,
% 7.72/5.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB165, constB166)) | (v192(constB166) <=> v190(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB165, constB166)) | (v192(constB166) <=> v190(constB165)))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36080,plain,
% 7.72/5.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB165, constB166)) | (v192(constB166) <=> v190(constB165)))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36081,plain,
% 7.72/5.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB165, constB166)) | (v192(constB166) <=> v190(constB165))),
% 7.72/5.93 inference(modus_ponens,[status(thm)],[36080, 36079])).
% 7.72/5.93 tff(36082,plain,
% 7.72/5.93 (v192(constB166) <=> v190(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36081, 17405, 15419])).
% 7.72/5.93 tff(36083,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB165) <=> (v193(constB165) | v196(constB165)))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36084,plain,
% 7.72/5.93 (v190(constB165) <=> (v193(constB165) | v196(constB165))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36083, 15430])).
% 7.72/5.93 tff(36085,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB165) <=> (~((~v159(constB165)) | (~v194(constB165)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB165) <=> (~((~v159(constB165)) | (~v194(constB165))))))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36086,plain,
% 7.72/5.93 ((v196(constB165) <=> (~((~v194(constB165)) | (~v159(constB165))))) <=> (v196(constB165) <=> (~((~v159(constB165)) | (~v194(constB165)))))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36087,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB165) <=> (~((~v194(constB165)) | (~v159(constB165)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB165) <=> (~((~v159(constB165)) | (~v194(constB165))))))),
% 7.72/5.93 inference(monotonicity,[status(thm)],[36086])).
% 7.72/5.93 tff(36088,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB165) <=> (~((~v194(constB165)) | (~v159(constB165)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB165) <=> (~((~v159(constB165)) | (~v194(constB165))))))),
% 7.72/5.93 inference(transitivity,[status(thm)],[36087, 36085])).
% 7.72/5.93 tff(36089,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB165) <=> (~((~v194(constB165)) | (~v159(constB165)))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36090,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB165) <=> (~((~v159(constB165)) | (~v194(constB165)))))),
% 7.72/5.93 inference(modus_ponens,[status(thm)],[36089, 36088])).
% 7.72/5.93 tff(36091,plain,
% 7.72/5.93 (v196(constB165) <=> (~((~v159(constB165)) | (~v194(constB165))))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36090, 15467])).
% 7.72/5.93 tff(36092,plain,
% 7.72/5.93 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB165) <=> v182(constB165))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36093,plain,
% 7.72/5.93 (v159(constB165) <=> v182(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36092, 15113])).
% 7.72/5.93 tff(36094,plain,
% 7.72/5.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB164, constB165)) | (v182(constB165) <=> v180(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB164, constB165)) | (v182(constB165) <=> v180(constB164)))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36095,plain,
% 7.72/5.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB164, constB165)) | (v182(constB165) <=> v180(constB164)))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36096,plain,
% 7.72/5.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB164, constB165)) | (v182(constB165) <=> v180(constB164))),
% 7.72/5.93 inference(modus_ponens,[status(thm)],[36095, 36094])).
% 7.72/5.93 tff(36097,plain,
% 7.72/5.93 (v182(constB165) <=> v180(constB164)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36096, 17430, 15125])).
% 7.72/5.93 tff(36098,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB164) <=> (~((~v183(constB164)) | (~v184(constB164)))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36099,plain,
% 7.72/5.93 (v180(constB164) <=> (~((~v183(constB164)) | (~v184(constB164))))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36098, 15139])).
% 7.72/5.93 tff(36100,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB164) <=> (~((~v185(constB164)) | (~v161(constB164)))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36101,plain,
% 7.72/5.93 (v184(constB164) <=> (~((~v185(constB164)) | (~v161(constB164))))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36100, 15151])).
% 7.72/5.93 tff(36102,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36103,plain,
% 7.72/5.93 (v185(constB164) <=> (~((~v39(constB164)) | (~v9(constB164))))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36102, 93])).
% 7.72/5.93 tff(36104,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB164)) <=> v1(constB164))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36105,plain,
% 7.72/5.93 ((~v39(constB164)) <=> v1(constB164)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36104, 102])).
% 7.72/5.93 tff(36106,plain,
% 7.72/5.93 ((~((~v39(constB164)) <=> v1(constB164))) | (~v39(constB164)) | (~v1(constB164))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36107,plain,
% 7.72/5.93 ((~((~v39(constB164)) <=> v1(constB164))) | (~v39(constB164))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36106, 21331])).
% 7.72/5.93 tff(36108,plain,
% 7.72/5.93 (~v39(constB164)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36107, 36105])).
% 7.72/5.93 tff(36109,plain,
% 7.72/5.93 (((~v39(constB164)) | (~v9(constB164))) | v39(constB164)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36110,plain,
% 7.72/5.93 ((~v39(constB164)) | (~v9(constB164))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36109, 36108])).
% 7.72/5.93 tff(36111,plain,
% 7.72/5.93 ((~(v185(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))) | (~v185(constB164)) | (~((~v39(constB164)) | (~v9(constB164))))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36112,plain,
% 7.72/5.93 ((~(v185(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))) | (~v185(constB164))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36111, 36110])).
% 7.72/5.93 tff(36113,plain,
% 7.72/5.93 (~v185(constB164)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36112, 36103])).
% 7.72/5.93 tff(36114,plain,
% 7.72/5.93 (((~v185(constB164)) | (~v161(constB164))) | v185(constB164)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36115,plain,
% 7.72/5.93 ((~v185(constB164)) | (~v161(constB164))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36114, 36113])).
% 7.72/5.93 tff(36116,plain,
% 7.72/5.93 ((~(v184(constB164) <=> (~((~v185(constB164)) | (~v161(constB164)))))) | (~v184(constB164)) | (~((~v185(constB164)) | (~v161(constB164))))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36117,plain,
% 7.72/5.93 ((~(v184(constB164) <=> (~((~v185(constB164)) | (~v161(constB164)))))) | (~v184(constB164))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36116, 36115])).
% 7.72/5.93 tff(36118,plain,
% 7.72/5.93 (~v184(constB164)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36117, 36101])).
% 7.72/5.93 tff(36119,plain,
% 7.72/5.93 (((~v183(constB164)) | (~v184(constB164))) | v184(constB164)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36120,plain,
% 7.72/5.93 ((~v183(constB164)) | (~v184(constB164))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36119, 36118])).
% 7.72/5.93 tff(36121,plain,
% 7.72/5.93 ((~(v180(constB164) <=> (~((~v183(constB164)) | (~v184(constB164)))))) | (~v180(constB164)) | (~((~v183(constB164)) | (~v184(constB164))))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36122,plain,
% 7.72/5.93 (~v180(constB164)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36121, 36120, 36099])).
% 7.72/5.93 tff(36123,plain,
% 7.72/5.93 ((~(v182(constB165) <=> v180(constB164))) | (~v182(constB165)) | v180(constB164)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36124,plain,
% 7.72/5.93 (~v182(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36123, 36122, 36097])).
% 7.72/5.93 tff(36125,plain,
% 7.72/5.93 ((~(v159(constB165) <=> v182(constB165))) | (~v159(constB165)) | v182(constB165)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36126,plain,
% 7.72/5.93 (~v159(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36125, 36124, 36093])).
% 7.72/5.93 tff(36127,plain,
% 7.72/5.93 (((~v159(constB165)) | (~v194(constB165))) | v159(constB165)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36128,plain,
% 7.72/5.93 ((~v159(constB165)) | (~v194(constB165))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36127, 36126])).
% 7.72/5.93 tff(36129,plain,
% 7.72/5.93 ((~(v196(constB165) <=> (~((~v159(constB165)) | (~v194(constB165)))))) | (~v196(constB165)) | (~((~v159(constB165)) | (~v194(constB165))))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36130,plain,
% 7.72/5.93 (~v196(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36129, 36128, 36091])).
% 7.72/5.93 tff(36131,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB165) <=> (~((~v157(constB165)) | (~v194(constB165)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB165) <=> (~((~v157(constB165)) | (~v194(constB165))))))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36132,plain,
% 7.72/5.93 ((v193(constB165) <=> (~((~v194(constB165)) | (~v157(constB165))))) <=> (v193(constB165) <=> (~((~v157(constB165)) | (~v194(constB165)))))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36133,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB165) <=> (~((~v194(constB165)) | (~v157(constB165)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB165) <=> (~((~v157(constB165)) | (~v194(constB165))))))),
% 7.72/5.93 inference(monotonicity,[status(thm)],[36132])).
% 7.72/5.93 tff(36134,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB165) <=> (~((~v194(constB165)) | (~v157(constB165)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB165) <=> (~((~v157(constB165)) | (~v194(constB165))))))),
% 7.72/5.93 inference(transitivity,[status(thm)],[36133, 36131])).
% 7.72/5.93 tff(36135,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB165) <=> (~((~v194(constB165)) | (~v157(constB165)))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36136,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB165) <=> (~((~v157(constB165)) | (~v194(constB165)))))),
% 7.72/5.93 inference(modus_ponens,[status(thm)],[36135, 36134])).
% 7.72/5.93 tff(36137,plain,
% 7.72/5.93 (v193(constB165) <=> (~((~v157(constB165)) | (~v194(constB165))))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36136, 15442])).
% 7.72/5.93 tff(36138,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB165)) <=> v195(constB165))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36139,plain,
% 7.72/5.93 ((~v194(constB165)) <=> v195(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36138, 15527])).
% 7.72/5.93 tff(36140,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB165) <=> (v185(constB165) | v26(constB165)))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36141,plain,
% 7.72/5.93 (v195(constB165) <=> (v185(constB165) | v26(constB165))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36140, 15536])).
% 7.72/5.93 tff(36142,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB165) <=> (~((~v39(constB165)) | (~v9(constB165)))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36143,plain,
% 7.72/5.93 (v185(constB165) <=> (~((~v39(constB165)) | (~v9(constB165))))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36142, 93])).
% 7.72/5.93 tff(36144,plain,
% 7.72/5.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36145,plain,
% 7.72/5.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36146,plain,
% 7.72/5.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165))),
% 7.72/5.93 inference(modus_ponens,[status(thm)],[36145, 36144])).
% 7.72/5.93 tff(36147,plain,
% 7.72/5.93 (v13(constB166) <=> v9(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36146, 17405, 15550])).
% 7.72/5.93 tff(36148,plain,
% 7.72/5.93 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB166) <=> v13(constB166))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36149,plain,
% 7.72/5.93 (v6(constB166) <=> v13(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36148, 15564])).
% 7.72/5.93 tff(36150,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB166)) <=> v6(constB166))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36151,plain,
% 7.72/5.93 ((~v21(constB166)) <=> v6(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36150, 15573])).
% 7.72/5.93 tff(36152,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB166) <=> (v20(constB166) | v21(constB166)))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36153,plain,
% 7.72/5.93 (v19(constB166) <=> (v20(constB166) | v21(constB166))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36152, 15582])).
% 7.72/5.93 tff(36154,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166)))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36155,plain,
% 7.72/5.93 (v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166))))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36154, 15594])).
% 7.72/5.93 tff(36156,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB166)) <=> v18(constB166))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36157,plain,
% 7.72/5.93 ((~v4(constB166)) <=> v18(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36156, 15603])).
% 7.72/5.93 tff(36158,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB166)),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36159,plain,
% 7.72/5.93 (v4(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36158, 15612])).
% 7.72/5.93 tff(36160,plain,
% 7.72/5.93 ((~((~v4(constB166)) <=> v18(constB166))) | (~v4(constB166)) | (~v18(constB166))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36161,plain,
% 7.72/5.93 (~v18(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36160, 36159, 36157])).
% 7.72/5.93 tff(36162,plain,
% 7.72/5.93 ((~(v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166)))))) | v18(constB166) | ((~v19(constB166)) | (~v22(constB166)))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36163,plain,
% 7.72/5.93 ((~v19(constB166)) | (~v22(constB166))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36162, 36161, 36155])).
% 7.72/5.93 tff(36164,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB166) <=> (v1(constB166) | v6(constB166)))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36165,plain,
% 7.72/5.93 (v22(constB166) <=> (v1(constB166) | v6(constB166))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36164, 15625])).
% 7.72/5.93 tff(36166,plain,
% 7.72/5.93 ((v1(constB166) | v6(constB166)) | (~v1(constB166))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36167,plain,
% 7.72/5.93 (v1(constB166) | v6(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36166, 21509])).
% 7.72/5.93 tff(36168,plain,
% 7.72/5.93 ((~(v22(constB166) <=> (v1(constB166) | v6(constB166)))) | v22(constB166) | (~(v1(constB166) | v6(constB166)))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36169,plain,
% 7.72/5.93 ((~(v22(constB166) <=> (v1(constB166) | v6(constB166)))) | v22(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36168, 36167])).
% 7.72/5.93 tff(36170,plain,
% 7.72/5.93 (v22(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36169, 36165])).
% 7.72/5.93 tff(36171,plain,
% 7.72/5.93 ((~((~v19(constB166)) | (~v22(constB166)))) | (~v19(constB166)) | (~v22(constB166))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36172,plain,
% 7.72/5.93 ((~((~v19(constB166)) | (~v22(constB166)))) | (~v19(constB166))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36171, 36170])).
% 7.72/5.93 tff(36173,plain,
% 7.72/5.93 (~v19(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36172, 36163])).
% 7.72/5.93 tff(36174,plain,
% 7.72/5.93 ((~(v19(constB166) <=> (v20(constB166) | v21(constB166)))) | v19(constB166) | (~(v20(constB166) | v21(constB166)))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36175,plain,
% 7.72/5.93 (~(v20(constB166) | v21(constB166))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36174, 36173, 36153])).
% 7.72/5.93 tff(36176,plain,
% 7.72/5.93 ((v20(constB166) | v21(constB166)) | (~v21(constB166))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36177,plain,
% 7.72/5.93 (~v21(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36176, 36175])).
% 7.72/5.93 tff(36178,plain,
% 7.72/5.93 ((~((~v21(constB166)) <=> v6(constB166))) | v21(constB166) | v6(constB166)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36179,plain,
% 7.72/5.93 (v6(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36178, 36177, 36151])).
% 7.72/5.93 tff(36180,plain,
% 7.72/5.93 ((~(v6(constB166) <=> v13(constB166))) | (~v6(constB166)) | v13(constB166)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36181,plain,
% 7.72/5.93 (v13(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36180, 36179, 36149])).
% 7.72/5.93 tff(36182,plain,
% 7.72/5.93 ((~(v13(constB166) <=> v9(constB165))) | (~v13(constB166)) | v9(constB165)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36183,plain,
% 7.72/5.93 (v9(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36182, 36181, 36147])).
% 7.72/5.93 tff(36184,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB165)) <=> v1(constB165))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36185,plain,
% 7.72/5.93 ((~v39(constB165)) <=> v1(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36184, 102])).
% 7.72/5.93 tff(36186,plain,
% 7.72/5.93 ((~((~v39(constB165)) <=> v1(constB165))) | v39(constB165) | v1(constB165)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36187,plain,
% 7.72/5.93 ((~((~v39(constB165)) <=> v1(constB165))) | v39(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36186, 17444])).
% 7.72/5.93 tff(36188,plain,
% 7.72/5.93 (v39(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36187, 36185])).
% 7.72/5.93 tff(36189,plain,
% 7.72/5.93 ((~((~v39(constB165)) | (~v9(constB165)))) | (~v39(constB165)) | (~v9(constB165))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36190,plain,
% 7.72/5.93 ((~((~v39(constB165)) | (~v9(constB165)))) | (~v9(constB165))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36189, 36188])).
% 7.72/5.93 tff(36191,plain,
% 7.72/5.93 (~((~v39(constB165)) | (~v9(constB165)))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36190, 36183])).
% 7.72/5.93 tff(36192,plain,
% 7.72/5.93 ((~(v185(constB165) <=> (~((~v39(constB165)) | (~v9(constB165)))))) | v185(constB165) | ((~v39(constB165)) | (~v9(constB165)))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36193,plain,
% 7.72/5.93 (v185(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36192, 36191, 36143])).
% 7.72/5.93 tff(36194,plain,
% 7.72/5.93 ((v185(constB165) | v26(constB165)) | (~v185(constB165))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36195,plain,
% 7.72/5.93 (v185(constB165) | v26(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36194, 36193])).
% 7.72/5.93 tff(36196,plain,
% 7.72/5.93 ((~(v195(constB165) <=> (v185(constB165) | v26(constB165)))) | v195(constB165) | (~(v185(constB165) | v26(constB165)))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36197,plain,
% 7.72/5.93 (v195(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36196, 36195, 36141])).
% 7.72/5.93 tff(36198,plain,
% 7.72/5.93 ((~((~v194(constB165)) <=> v195(constB165))) | (~v194(constB165)) | (~v195(constB165))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36199,plain,
% 7.72/5.93 (~v194(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36198, 36197, 36139])).
% 7.72/5.93 tff(36200,plain,
% 7.72/5.93 (((~v157(constB165)) | (~v194(constB165))) | v194(constB165)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36201,plain,
% 7.72/5.93 ((~v157(constB165)) | (~v194(constB165))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36200, 36199])).
% 7.72/5.93 tff(36202,plain,
% 7.72/5.93 ((~(v193(constB165) <=> (~((~v157(constB165)) | (~v194(constB165)))))) | (~v193(constB165)) | (~((~v157(constB165)) | (~v194(constB165))))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36203,plain,
% 7.72/5.93 (~v193(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36202, 36201, 36137])).
% 7.72/5.93 tff(36204,plain,
% 7.72/5.93 ((~(v193(constB165) | v196(constB165))) | v193(constB165) | v196(constB165)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36205,plain,
% 7.72/5.93 (~(v193(constB165) | v196(constB165))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36204, 36203, 36130])).
% 7.72/5.93 tff(36206,plain,
% 7.72/5.93 ((~(v190(constB165) <=> (v193(constB165) | v196(constB165)))) | (~v190(constB165)) | (v193(constB165) | v196(constB165))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36207,plain,
% 7.72/5.93 (~v190(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36206, 36205, 36084])).
% 7.72/5.93 tff(36208,plain,
% 7.72/5.93 ((~(v192(constB166) <=> v190(constB165))) | (~v192(constB166)) | v190(constB165)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36209,plain,
% 7.72/5.93 (~v192(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36208, 36207, 36082])).
% 7.72/5.93 tff(36210,plain,
% 7.72/5.93 ((~(v157(constB166) <=> v192(constB166))) | (~v157(constB166)) | v192(constB166)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36211,plain,
% 7.72/5.93 (~v157(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36210, 36209, 36078])).
% 7.72/5.93 tff(36212,plain,
% 7.72/5.93 (((~v157(constB166)) | (~v194(constB166))) | v157(constB166)),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36213,plain,
% 7.72/5.93 ((~v157(constB166)) | (~v194(constB166))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36212, 36211])).
% 7.72/5.93 tff(36214,plain,
% 7.72/5.93 ((~(v193(constB166) <=> (~((~v157(constB166)) | (~v194(constB166)))))) | (~v193(constB166)) | (~((~v157(constB166)) | (~v194(constB166))))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36215,plain,
% 7.72/5.93 (~v193(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36214, 36213, 36076])).
% 7.72/5.93 tff(36216,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB166) <=> (~((~v159(constB166)) | (~v194(constB166)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB166) <=> (~((~v159(constB166)) | (~v194(constB166))))))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36217,plain,
% 7.72/5.93 ((v196(constB166) <=> (~((~v194(constB166)) | (~v159(constB166))))) <=> (v196(constB166) <=> (~((~v159(constB166)) | (~v194(constB166)))))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36218,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB166) <=> (~((~v194(constB166)) | (~v159(constB166)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB166) <=> (~((~v159(constB166)) | (~v194(constB166))))))),
% 7.72/5.93 inference(monotonicity,[status(thm)],[36217])).
% 7.72/5.93 tff(36219,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB166) <=> (~((~v194(constB166)) | (~v159(constB166)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB166) <=> (~((~v159(constB166)) | (~v194(constB166))))))),
% 7.72/5.93 inference(transitivity,[status(thm)],[36218, 36216])).
% 7.72/5.93 tff(36220,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB166) <=> (~((~v194(constB166)) | (~v159(constB166)))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36221,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB166) <=> (~((~v159(constB166)) | (~v194(constB166)))))),
% 7.72/5.93 inference(modus_ponens,[status(thm)],[36220, 36219])).
% 7.72/5.93 tff(36222,plain,
% 7.72/5.93 (v196(constB166) <=> (~((~v159(constB166)) | (~v194(constB166))))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36221, 15467])).
% 7.72/5.93 tff(36223,plain,
% 7.72/5.93 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB166) <=> v182(constB166))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36224,plain,
% 7.72/5.93 (v159(constB166) <=> v182(constB166)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36223, 15113])).
% 7.72/5.93 tff(36225,plain,
% 7.72/5.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB165, constB166)) | (v182(constB166) <=> v180(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB165, constB166)) | (v182(constB166) <=> v180(constB165)))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36226,plain,
% 7.72/5.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB165, constB166)) | (v182(constB166) <=> v180(constB165)))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36227,plain,
% 7.72/5.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB165, constB166)) | (v182(constB166) <=> v180(constB165))),
% 7.72/5.93 inference(modus_ponens,[status(thm)],[36226, 36225])).
% 7.72/5.93 tff(36228,plain,
% 7.72/5.93 (v182(constB166) <=> v180(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36227, 17405, 15125])).
% 7.72/5.93 tff(36229,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB165) <=> (~((~v183(constB165)) | (~v184(constB165)))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36230,plain,
% 7.72/5.93 (v180(constB165) <=> (~((~v183(constB165)) | (~v184(constB165))))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36229, 15139])).
% 7.72/5.93 tff(36231,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB165) <=> (~((~v185(constB165)) | (~v161(constB165)))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36232,plain,
% 7.72/5.93 (v184(constB165) <=> (~((~v185(constB165)) | (~v161(constB165))))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36231, 15151])).
% 7.72/5.93 tff(36233,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB165) <=> v163(constB165))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36234,plain,
% 7.72/5.93 (v161(constB165) <=> v163(constB165)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36233, 15701])).
% 7.72/5.93 tff(36235,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB165) <=> (v145(constB165) | v167(constB165)))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36236,plain,
% 7.72/5.93 (v166(constB165) <=> (v145(constB165) | v167(constB165))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36235, 15713])).
% 7.72/5.93 tff(36237,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB165) <=> (v142(constB165) | v168(constB165)))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36238,plain,
% 7.72/5.93 (v167(constB165) <=> (v142(constB165) | v168(constB165))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36237, 15725])).
% 7.72/5.93 tff(36239,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB165) <=> (v143(constB165) | v144(constB165)))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36240,plain,
% 7.72/5.93 (v142(constB165) <=> (v143(constB165) | v144(constB165))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36239, 221])).
% 7.72/5.93 tff(36241,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB165) <=> (~((~v88(constB165, 1)) | (~v88(constB165, 2)) | v88(constB165, 0))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB165) <=> (~((~v88(constB165, 1)) | (~v88(constB165, 2)) | v88(constB165, 0)))))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36242,plain,
% 7.72/5.93 ((v144(constB165) <=> (~(v88(constB165, 0) | (~v88(constB165, 1)) | (~v88(constB165, 2))))) <=> (v144(constB165) <=> (~((~v88(constB165, 1)) | (~v88(constB165, 2)) | v88(constB165, 0))))),
% 7.72/5.93 inference(rewrite,[status(thm)],[])).
% 7.72/5.93 tff(36243,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB165) <=> (~(v88(constB165, 0) | (~v88(constB165, 1)) | (~v88(constB165, 2)))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB165) <=> (~((~v88(constB165, 1)) | (~v88(constB165, 2)) | v88(constB165, 0)))))),
% 7.72/5.93 inference(monotonicity,[status(thm)],[36242])).
% 7.72/5.93 tff(36244,plain,
% 7.72/5.93 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB165) <=> (~(v88(constB165, 0) | (~v88(constB165, 1)) | (~v88(constB165, 2)))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB165) <=> (~((~v88(constB165, 1)) | (~v88(constB165, 2)) | v88(constB165, 0)))))),
% 7.72/5.93 inference(transitivity,[status(thm)],[36243, 36241])).
% 7.72/5.93 tff(36245,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB165) <=> (~(v88(constB165, 0) | (~v88(constB165, 1)) | (~v88(constB165, 2)))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36246,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB165) <=> (~((~v88(constB165, 1)) | (~v88(constB165, 2)) | v88(constB165, 0))))),
% 7.72/5.93 inference(modus_ponens,[status(thm)],[36245, 36244])).
% 7.72/5.93 tff(36247,plain,
% 7.72/5.93 (v144(constB165) <=> (~((~v88(constB165, 1)) | (~v88(constB165, 2)) | v88(constB165, 0)))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36246, 28763])).
% 7.72/5.93 tff(36248,plain,
% 7.72/5.93 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB165, 1)) <=> v90(constB165, 1)) | ((~v88(constB165, 2)) <=> v90(constB165, 2)) | ((~v88(constB165, 0)) <=> v90(constB165, 0))))),
% 7.72/5.93 inference(quant_inst,[status(thm)],[])).
% 7.72/5.93 tff(36249,plain,
% 7.72/5.93 (~(((~v88(constB165, 1)) <=> v90(constB165, 1)) | ((~v88(constB165, 2)) <=> v90(constB165, 2)) | ((~v88(constB165, 0)) <=> v90(constB165, 0)))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36248, 256])).
% 7.72/5.93 tff(36250,plain,
% 7.72/5.93 ((((~v88(constB165, 1)) <=> v90(constB165, 1)) | ((~v88(constB165, 2)) <=> v90(constB165, 2)) | ((~v88(constB165, 0)) <=> v90(constB165, 0))) | (~((~v88(constB165, 2)) <=> v90(constB165, 2)))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36251,plain,
% 7.72/5.93 (~((~v88(constB165, 2)) <=> v90(constB165, 2))),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36250, 36249])).
% 7.72/5.93 tff(36252,plain,
% 7.72/5.93 (((~v88(constB165, 2)) <=> v90(constB165, 2)) | v88(constB165, 2) | (~v90(constB165, 2))),
% 7.72/5.93 inference(tautology,[status(thm)],[])).
% 7.72/5.93 tff(36253,plain,
% 7.72/5.93 (v88(constB165, 2)),
% 7.72/5.93 inference(unit_resolution,[status(thm)],[36252, 21393, 36251])).
% 7.72/5.94 tff(36254,plain,
% 7.72/5.94 ((((~v88(constB165, 1)) <=> v90(constB165, 1)) | ((~v88(constB165, 2)) <=> v90(constB165, 2)) | ((~v88(constB165, 0)) <=> v90(constB165, 0))) | (~((~v88(constB165, 0)) <=> v90(constB165, 0)))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36255,plain,
% 7.72/5.94 (~((~v88(constB165, 0)) <=> v90(constB165, 0))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36254, 36249])).
% 7.72/5.94 tff(36256,plain,
% 7.72/5.94 (((~v88(constB165, 0)) <=> v90(constB165, 0)) | (~v88(constB165, 0)) | v90(constB165, 0)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36257,plain,
% 7.72/5.94 (~v88(constB165, 0)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36256, 21544, 36255])).
% 7.72/5.94 tff(36258,plain,
% 7.72/5.94 ((((~v88(constB165, 1)) <=> v90(constB165, 1)) | ((~v88(constB165, 2)) <=> v90(constB165, 2)) | ((~v88(constB165, 0)) <=> v90(constB165, 0))) | (~((~v88(constB165, 1)) <=> v90(constB165, 1)))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36259,plain,
% 7.72/5.94 (~((~v88(constB165, 1)) <=> v90(constB165, 1))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36258, 36249])).
% 7.72/5.94 tff(36260,plain,
% 7.72/5.94 (((~v88(constB165, 1)) <=> v90(constB165, 1)) | v88(constB165, 1) | (~v90(constB165, 1))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36261,plain,
% 7.72/5.94 (v88(constB165, 1)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36260, 21422, 36259])).
% 7.72/5.94 tff(36262,plain,
% 7.72/5.94 ((~((~v88(constB165, 1)) | (~v88(constB165, 2)) | v88(constB165, 0))) | (~v88(constB165, 1)) | (~v88(constB165, 2)) | v88(constB165, 0)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36263,plain,
% 7.72/5.94 (~((~v88(constB165, 1)) | (~v88(constB165, 2)) | v88(constB165, 0))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36262, 36261, 36257, 36253])).
% 7.72/5.94 tff(36264,plain,
% 7.72/5.94 ((~(v144(constB165) <=> (~((~v88(constB165, 1)) | (~v88(constB165, 2)) | v88(constB165, 0))))) | v144(constB165) | ((~v88(constB165, 1)) | (~v88(constB165, 2)) | v88(constB165, 0))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36265,plain,
% 7.72/5.94 (v144(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36264, 36263, 36247])).
% 7.72/5.94 tff(36266,plain,
% 7.72/5.94 ((v143(constB165) | v144(constB165)) | (~v144(constB165))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36267,plain,
% 7.72/5.94 (v143(constB165) | v144(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36266, 36265])).
% 7.72/5.94 tff(36268,plain,
% 7.72/5.94 ((~(v142(constB165) <=> (v143(constB165) | v144(constB165)))) | v142(constB165) | (~(v143(constB165) | v144(constB165)))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36269,plain,
% 7.72/5.94 (v142(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36268, 36267, 36240])).
% 7.72/5.94 tff(36270,plain,
% 7.72/5.94 ((v142(constB165) | v168(constB165)) | (~v142(constB165))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36271,plain,
% 7.72/5.94 (v142(constB165) | v168(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36270, 36269])).
% 7.72/5.94 tff(36272,plain,
% 7.72/5.94 ((~(v167(constB165) <=> (v142(constB165) | v168(constB165)))) | v167(constB165) | (~(v142(constB165) | v168(constB165)))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36273,plain,
% 7.72/5.94 ((~(v167(constB165) <=> (v142(constB165) | v168(constB165)))) | v167(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36272, 36271])).
% 7.72/5.94 tff(36274,plain,
% 7.72/5.94 (v167(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36273, 36238])).
% 7.72/5.94 tff(36275,plain,
% 7.72/5.94 ((v145(constB165) | v167(constB165)) | (~v167(constB165))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36276,plain,
% 7.72/5.94 (v145(constB165) | v167(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36275, 36274])).
% 7.72/5.94 tff(36277,plain,
% 7.72/5.94 ((~(v166(constB165) <=> (v145(constB165) | v167(constB165)))) | v166(constB165) | (~(v145(constB165) | v167(constB165)))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36278,plain,
% 7.72/5.94 (v166(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36277, 36276, 36236])).
% 7.72/5.94 tff(36279,plain,
% 7.72/5.94 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB165)) | (v163(constB165) <=> v170(constB165)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB165)) | (v163(constB165) <=> v170(constB165)))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36280,plain,
% 7.72/5.94 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB165)) | (v163(constB165) <=> v170(constB165)))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36281,plain,
% 7.72/5.94 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB165)) | (v163(constB165) <=> v170(constB165))),
% 7.72/5.94 inference(modus_ponens,[status(thm)],[36280, 36279])).
% 7.72/5.94 tff(36282,plain,
% 7.72/5.94 ((~v166(constB165)) | (v163(constB165) <=> v170(constB165))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36281, 15777])).
% 7.72/5.94 tff(36283,plain,
% 7.72/5.94 (v163(constB165) <=> v170(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36282, 36278])).
% 7.72/5.94 tff(36284,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB165) <=> (~(v88(constB165, 0) | v88(constB165, 1) | v88(constB165, 2))))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36285,plain,
% 7.72/5.94 (v139(constB165) <=> (~(v88(constB165, 0) | v88(constB165, 1) | v88(constB165, 2)))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36284, 15795])).
% 7.72/5.94 tff(36286,plain,
% 7.72/5.94 ((v88(constB165, 0) | v88(constB165, 1) | v88(constB165, 2)) | (~v88(constB165, 2))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36287,plain,
% 7.72/5.94 (v88(constB165, 0) | v88(constB165, 1) | v88(constB165, 2)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36286, 36253])).
% 7.72/5.94 tff(36288,plain,
% 7.72/5.94 ((~(v139(constB165) <=> (~(v88(constB165, 0) | v88(constB165, 1) | v88(constB165, 2))))) | (~v139(constB165)) | (~(v88(constB165, 0) | v88(constB165, 1) | v88(constB165, 2)))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36289,plain,
% 7.72/5.94 (~v139(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36288, 36287, 36285])).
% 7.72/5.94 tff(36290,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB165) <=> (~(v88(constB165, 1) | v88(constB165, 2) | (~v88(constB165, 0)))))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36291,plain,
% 7.72/5.94 (v140(constB165) <=> (~(v88(constB165, 1) | v88(constB165, 2) | (~v88(constB165, 0))))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36290, 15814])).
% 7.72/5.94 tff(36292,plain,
% 7.72/5.94 ((v88(constB165, 1) | v88(constB165, 2) | (~v88(constB165, 0))) | (~v88(constB165, 2))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36293,plain,
% 7.72/5.94 (v88(constB165, 1) | v88(constB165, 2) | (~v88(constB165, 0))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36292, 36253])).
% 7.72/5.94 tff(36294,plain,
% 7.72/5.94 ((~(v140(constB165) <=> (~(v88(constB165, 1) | v88(constB165, 2) | (~v88(constB165, 0)))))) | (~v140(constB165)) | (~(v88(constB165, 1) | v88(constB165, 2) | (~v88(constB165, 0))))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36295,plain,
% 7.72/5.94 (~v140(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36294, 36293, 36291])).
% 7.72/5.94 tff(36296,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB165) | v139(constB165) | (~v170(constB165)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB165) | v139(constB165) | (~v170(constB165)))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36297,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB165) | v139(constB165) | (~v170(constB165)))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36298,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB165) | v139(constB165) | (~v170(constB165))),
% 7.72/5.94 inference(modus_ponens,[status(thm)],[36297, 36296])).
% 7.72/5.94 tff(36299,plain,
% 7.72/5.94 (v140(constB165) | v139(constB165) | (~v170(constB165))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36298, 15833])).
% 7.72/5.94 tff(36300,plain,
% 7.72/5.94 (~v170(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36299, 36295, 36289])).
% 7.72/5.94 tff(36301,plain,
% 7.72/5.94 ((~(v163(constB165) <=> v170(constB165))) | (~v163(constB165)) | v170(constB165)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36302,plain,
% 7.72/5.94 ((~(v163(constB165) <=> v170(constB165))) | (~v163(constB165))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36301, 36300])).
% 7.72/5.94 tff(36303,plain,
% 7.72/5.94 (~v163(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36302, 36283])).
% 7.72/5.94 tff(36304,plain,
% 7.72/5.94 ((~(v161(constB165) <=> v163(constB165))) | (~v161(constB165)) | v163(constB165)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36305,plain,
% 7.72/5.94 ((~(v161(constB165) <=> v163(constB165))) | (~v161(constB165))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36304, 36303])).
% 7.72/5.94 tff(36306,plain,
% 7.72/5.94 (~v161(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36305, 36234])).
% 7.72/5.94 tff(36307,plain,
% 7.72/5.94 (((~v185(constB165)) | (~v161(constB165))) | v161(constB165)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36308,plain,
% 7.72/5.94 ((~v185(constB165)) | (~v161(constB165))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36307, 36306])).
% 7.72/5.94 tff(36309,plain,
% 7.72/5.94 ((~(v184(constB165) <=> (~((~v185(constB165)) | (~v161(constB165)))))) | (~v184(constB165)) | (~((~v185(constB165)) | (~v161(constB165))))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36310,plain,
% 7.72/5.94 (~v184(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36309, 36308, 36232])).
% 7.72/5.94 tff(36311,plain,
% 7.72/5.94 (((~v183(constB165)) | (~v184(constB165))) | v184(constB165)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36312,plain,
% 7.72/5.94 ((~v183(constB165)) | (~v184(constB165))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36311, 36310])).
% 7.72/5.94 tff(36313,plain,
% 7.72/5.94 ((~(v180(constB165) <=> (~((~v183(constB165)) | (~v184(constB165)))))) | (~v180(constB165)) | (~((~v183(constB165)) | (~v184(constB165))))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36314,plain,
% 7.72/5.94 (~v180(constB165)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36313, 36312, 36230])).
% 7.72/5.94 tff(36315,plain,
% 7.72/5.94 ((~(v182(constB166) <=> v180(constB165))) | (~v182(constB166)) | v180(constB165)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36316,plain,
% 7.72/5.94 (~v182(constB166)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36315, 36314, 36228])).
% 7.72/5.94 tff(36317,plain,
% 7.72/5.94 ((~(v159(constB166) <=> v182(constB166))) | (~v159(constB166)) | v182(constB166)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36318,plain,
% 7.72/5.94 (~v159(constB166)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36317, 36316, 36224])).
% 7.72/5.94 tff(36319,plain,
% 7.72/5.94 (((~v159(constB166)) | (~v194(constB166))) | v159(constB166)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36320,plain,
% 7.72/5.94 ((~v159(constB166)) | (~v194(constB166))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36319, 36318])).
% 7.72/5.94 tff(36321,plain,
% 7.72/5.94 ((~(v196(constB166) <=> (~((~v159(constB166)) | (~v194(constB166)))))) | (~v196(constB166)) | (~((~v159(constB166)) | (~v194(constB166))))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36322,plain,
% 7.72/5.94 (~v196(constB166)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36321, 36320, 36222])).
% 7.72/5.94 tff(36323,plain,
% 7.72/5.94 ((~(v193(constB166) | v196(constB166))) | v193(constB166) | v196(constB166)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36324,plain,
% 7.72/5.94 (~(v193(constB166) | v196(constB166))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36323, 36322, 36215])).
% 7.72/5.94 tff(36325,plain,
% 7.72/5.94 ((~(v190(constB166) <=> (v193(constB166) | v196(constB166)))) | (~v190(constB166)) | (v193(constB166) | v196(constB166))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36326,plain,
% 7.72/5.94 (~v190(constB166)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36325, 36324, 36069])).
% 7.72/5.94 tff(36327,plain,
% 7.72/5.94 ((~(v192(constB167) <=> v190(constB166))) | (~v192(constB167)) | v190(constB166)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36328,plain,
% 7.72/5.94 (~v192(constB167)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36327, 36326, 36067])).
% 7.72/5.94 tff(36329,plain,
% 7.72/5.94 ((~(v157(constB167) <=> v192(constB167))) | (~v157(constB167)) | v192(constB167)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36330,plain,
% 7.72/5.94 (~v157(constB167)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36329, 36328, 36063])).
% 7.72/5.94 tff(36331,plain,
% 7.72/5.94 (((~v157(constB167)) | (~v202(constB167))) | v157(constB167)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36332,plain,
% 7.72/5.94 ((~v157(constB167)) | (~v202(constB167))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36331, 36330])).
% 7.72/5.94 tff(36333,plain,
% 7.72/5.94 ((~(v201(constB167) <=> (~((~v157(constB167)) | (~v202(constB167)))))) | (~v201(constB167)) | (~((~v157(constB167)) | (~v202(constB167))))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36334,plain,
% 7.72/5.94 (~v201(constB167)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36333, 36332, 36061])).
% 7.72/5.94 tff(36335,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB167) <=> (~((~v159(constB167)) | (~v202(constB167)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB167) <=> (~((~v159(constB167)) | (~v202(constB167))))))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36336,plain,
% 7.72/5.94 ((v205(constB167) <=> (~((~v202(constB167)) | (~v159(constB167))))) <=> (v205(constB167) <=> (~((~v159(constB167)) | (~v202(constB167)))))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36337,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB167) <=> (~((~v202(constB167)) | (~v159(constB167)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB167) <=> (~((~v159(constB167)) | (~v202(constB167))))))),
% 7.72/5.94 inference(monotonicity,[status(thm)],[36336])).
% 7.72/5.94 tff(36338,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB167) <=> (~((~v202(constB167)) | (~v159(constB167)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB167) <=> (~((~v159(constB167)) | (~v202(constB167))))))),
% 7.72/5.94 inference(transitivity,[status(thm)],[36337, 36335])).
% 7.72/5.94 tff(36339,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB167) <=> (~((~v202(constB167)) | (~v159(constB167)))))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36340,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB167) <=> (~((~v159(constB167)) | (~v202(constB167)))))),
% 7.72/5.94 inference(modus_ponens,[status(thm)],[36339, 36338])).
% 7.72/5.94 tff(36341,plain,
% 7.72/5.94 (v205(constB167) <=> (~((~v159(constB167)) | (~v202(constB167))))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36340, 138])).
% 7.72/5.94 tff(36342,plain,
% 7.72/5.94 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB167) <=> v182(constB167))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36343,plain,
% 7.72/5.94 (v159(constB167) <=> v182(constB167)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36342, 15113])).
% 7.72/5.94 tff(36344,plain,
% 7.72/5.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB166, constB167)) | (v182(constB167) <=> v180(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB166, constB167)) | (v182(constB167) <=> v180(constB166)))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36345,plain,
% 7.72/5.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB166, constB167)) | (v182(constB167) <=> v180(constB166)))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36346,plain,
% 7.72/5.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB166, constB167)) | (v182(constB167) <=> v180(constB166))),
% 7.72/5.94 inference(modus_ponens,[status(thm)],[36345, 36344])).
% 7.72/5.94 tff(36347,plain,
% 7.72/5.94 (v182(constB167) <=> v180(constB166)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36346, 17369, 15125])).
% 7.72/5.94 tff(36348,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB166) <=> (~((~v183(constB166)) | (~v184(constB166)))))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36349,plain,
% 7.72/5.94 (v180(constB166) <=> (~((~v183(constB166)) | (~v184(constB166))))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36348, 15139])).
% 7.72/5.94 tff(36350,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB166) <=> (~((~v185(constB166)) | (~v161(constB166)))))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36351,plain,
% 7.72/5.94 (v184(constB166) <=> (~((~v185(constB166)) | (~v161(constB166))))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36350, 15151])).
% 7.72/5.94 tff(36352,plain,
% 7.72/5.94 (((~v185(constB166)) | (~v161(constB166))) | v185(constB166)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36353,plain,
% 7.72/5.94 ((~v185(constB166)) | (~v161(constB166))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36352, 33671])).
% 7.72/5.94 tff(36354,plain,
% 7.72/5.94 ((~(v184(constB166) <=> (~((~v185(constB166)) | (~v161(constB166)))))) | (~v184(constB166)) | (~((~v185(constB166)) | (~v161(constB166))))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36355,plain,
% 7.72/5.94 ((~(v184(constB166) <=> (~((~v185(constB166)) | (~v161(constB166)))))) | (~v184(constB166))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36354, 36353])).
% 7.72/5.94 tff(36356,plain,
% 7.72/5.94 (~v184(constB166)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36355, 36351])).
% 7.72/5.94 tff(36357,plain,
% 7.72/5.94 (((~v183(constB166)) | (~v184(constB166))) | v184(constB166)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36358,plain,
% 7.72/5.94 ((~v183(constB166)) | (~v184(constB166))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36357, 36356])).
% 7.72/5.94 tff(36359,plain,
% 7.72/5.94 ((~(v180(constB166) <=> (~((~v183(constB166)) | (~v184(constB166)))))) | (~v180(constB166)) | (~((~v183(constB166)) | (~v184(constB166))))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36360,plain,
% 7.72/5.94 (~v180(constB166)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36359, 36358, 36349])).
% 7.72/5.94 tff(36361,plain,
% 7.72/5.94 ((~(v182(constB167) <=> v180(constB166))) | (~v182(constB167)) | v180(constB166)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36362,plain,
% 7.72/5.94 (~v182(constB167)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36361, 36360, 36347])).
% 7.72/5.94 tff(36363,plain,
% 7.72/5.94 ((~(v159(constB167) <=> v182(constB167))) | (~v159(constB167)) | v182(constB167)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36364,plain,
% 7.72/5.94 (~v159(constB167)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36363, 36362, 36343])).
% 7.72/5.94 tff(36365,plain,
% 7.72/5.94 (((~v159(constB167)) | (~v202(constB167))) | v159(constB167)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36366,plain,
% 7.72/5.94 ((~v159(constB167)) | (~v202(constB167))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36365, 36364])).
% 7.72/5.94 tff(36367,plain,
% 7.72/5.94 ((~(v205(constB167) <=> (~((~v159(constB167)) | (~v202(constB167)))))) | (~v205(constB167)) | (~((~v159(constB167)) | (~v202(constB167))))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36368,plain,
% 7.72/5.94 (~v205(constB167)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36367, 36366, 36341])).
% 7.72/5.94 tff(36369,plain,
% 7.72/5.94 ((~(v201(constB167) | v205(constB167))) | v201(constB167) | v205(constB167)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36370,plain,
% 7.72/5.94 ((~(v201(constB167) | v205(constB167))) | v201(constB167)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36369, 36368])).
% 7.72/5.94 tff(36371,plain,
% 7.72/5.94 (~(v201(constB167) | v205(constB167))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36370, 36334])).
% 7.72/5.94 tff(36372,plain,
% 7.72/5.94 ((~(v200(constB167) <=> (v201(constB167) | v205(constB167)))) | (~v200(constB167)) | (v201(constB167) | v205(constB167))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36373,plain,
% 7.72/5.94 (~v200(constB167)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36372, 36371, 36054])).
% 7.72/5.94 tff(36374,plain,
% 7.72/5.94 ($false),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36373, 36052])).
% 7.72/5.94 tff(36375,plain,(~(constB167 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.72/5.94 tff(36376,assumption,(constB197 = VarCurr!0), introduced(assumption)).
% 7.72/5.94 tff(36377,plain,
% 7.72/5.94 (v200(constB197) <=> v200(VarCurr!0)),
% 7.72/5.94 inference(monotonicity,[status(thm)],[36376])).
% 7.72/5.94 tff(36378,plain,
% 7.72/5.94 (v200(VarCurr!0) <=> v200(constB197)),
% 7.72/5.94 inference(symmetry,[status(thm)],[36377])).
% 7.72/5.94 tff(36379,plain,
% 7.72/5.94 (v200(constB197)),
% 7.72/5.94 inference(modus_ponens,[status(thm)],[27, 36378])).
% 7.72/5.94 tff(36380,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB197) <=> (v201(constB197) | v205(constB197)))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36381,plain,
% 7.72/5.94 (v200(constB197) <=> (v201(constB197) | v205(constB197))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36380, 35])).
% 7.72/5.94 tff(36382,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB197) <=> (~((~v157(constB197)) | (~v202(constB197)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB197) <=> (~((~v157(constB197)) | (~v202(constB197))))))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36383,plain,
% 7.72/5.94 ((v201(constB197) <=> (~((~v202(constB197)) | (~v157(constB197))))) <=> (v201(constB197) <=> (~((~v157(constB197)) | (~v202(constB197)))))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36384,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB197) <=> (~((~v202(constB197)) | (~v157(constB197)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB197) <=> (~((~v157(constB197)) | (~v202(constB197))))))),
% 7.72/5.94 inference(monotonicity,[status(thm)],[36383])).
% 7.72/5.94 tff(36385,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB197) <=> (~((~v202(constB197)) | (~v157(constB197)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB197) <=> (~((~v157(constB197)) | (~v202(constB197))))))),
% 7.72/5.94 inference(transitivity,[status(thm)],[36384, 36382])).
% 7.72/5.94 tff(36386,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB197) <=> (~((~v202(constB197)) | (~v157(constB197)))))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36387,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB197) <=> (~((~v157(constB197)) | (~v202(constB197)))))),
% 7.72/5.94 inference(modus_ponens,[status(thm)],[36386, 36385])).
% 7.72/5.94 tff(36388,plain,
% 7.72/5.94 (v201(constB197) <=> (~((~v157(constB197)) | (~v202(constB197))))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36387, 47])).
% 7.72/5.94 tff(36389,plain,
% 7.72/5.94 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB197) <=> v192(constB197))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36390,plain,
% 7.72/5.94 (v157(constB197) <=> v192(constB197)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36389, 15407])).
% 7.72/5.94 tff(36391,plain,
% 7.72/5.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB196, constB197)) | (v192(constB197) <=> v190(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB196, constB197)) | (v192(constB197) <=> v190(constB196)))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36392,plain,
% 7.72/5.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB196, constB197)) | (v192(constB197) <=> v190(constB196)))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36393,plain,
% 7.72/5.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB196, constB197)) | (v192(constB197) <=> v190(constB196))),
% 7.72/5.94 inference(modus_ponens,[status(thm)],[36392, 36391])).
% 7.72/5.94 tff(36394,plain,
% 7.72/5.94 (v192(constB197) <=> v190(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36393, 34493, 15419])).
% 7.72/5.94 tff(36395,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB196) <=> (v193(constB196) | v196(constB196)))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36396,plain,
% 7.72/5.94 (v190(constB196) <=> (v193(constB196) | v196(constB196))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36395, 15430])).
% 7.72/5.94 tff(36397,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB196) <=> (~((~v157(constB196)) | (~v194(constB196)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB196) <=> (~((~v157(constB196)) | (~v194(constB196))))))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36398,plain,
% 7.72/5.94 ((v193(constB196) <=> (~((~v194(constB196)) | (~v157(constB196))))) <=> (v193(constB196) <=> (~((~v157(constB196)) | (~v194(constB196)))))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36399,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB196) <=> (~((~v194(constB196)) | (~v157(constB196)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB196) <=> (~((~v157(constB196)) | (~v194(constB196))))))),
% 7.72/5.94 inference(monotonicity,[status(thm)],[36398])).
% 7.72/5.94 tff(36400,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB196) <=> (~((~v194(constB196)) | (~v157(constB196)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB196) <=> (~((~v157(constB196)) | (~v194(constB196))))))),
% 7.72/5.94 inference(transitivity,[status(thm)],[36399, 36397])).
% 7.72/5.94 tff(36401,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB196) <=> (~((~v194(constB196)) | (~v157(constB196)))))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36402,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB196) <=> (~((~v157(constB196)) | (~v194(constB196)))))),
% 7.72/5.94 inference(modus_ponens,[status(thm)],[36401, 36400])).
% 7.72/5.94 tff(36403,plain,
% 7.72/5.94 (v193(constB196) <=> (~((~v157(constB196)) | (~v194(constB196))))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36402, 15442])).
% 7.72/5.94 tff(36404,plain,
% 7.72/5.94 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB196) <=> v192(constB196))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36405,plain,
% 7.72/5.94 (v157(constB196) <=> v192(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36404, 15407])).
% 7.72/5.94 tff(36406,plain,
% 7.72/5.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB195, constB196)) | (v192(constB196) <=> v190(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB195, constB196)) | (v192(constB196) <=> v190(constB195)))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36407,plain,
% 7.72/5.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB195, constB196)) | (v192(constB196) <=> v190(constB195)))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36408,plain,
% 7.72/5.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB195, constB196)) | (v192(constB196) <=> v190(constB195))),
% 7.72/5.94 inference(modus_ponens,[status(thm)],[36407, 36406])).
% 7.72/5.94 tff(36409,plain,
% 7.72/5.94 (v192(constB196) <=> v190(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36408, 34529, 15419])).
% 7.72/5.94 tff(36410,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB195) <=> (v193(constB195) | v196(constB195)))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36411,plain,
% 7.72/5.94 (v190(constB195) <=> (v193(constB195) | v196(constB195))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36410, 15430])).
% 7.72/5.94 tff(36412,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB195) <=> (~((~v159(constB195)) | (~v194(constB195)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB195) <=> (~((~v159(constB195)) | (~v194(constB195))))))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36413,plain,
% 7.72/5.94 ((v196(constB195) <=> (~((~v194(constB195)) | (~v159(constB195))))) <=> (v196(constB195) <=> (~((~v159(constB195)) | (~v194(constB195)))))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36414,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB195) <=> (~((~v194(constB195)) | (~v159(constB195)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB195) <=> (~((~v159(constB195)) | (~v194(constB195))))))),
% 7.72/5.94 inference(monotonicity,[status(thm)],[36413])).
% 7.72/5.94 tff(36415,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB195) <=> (~((~v194(constB195)) | (~v159(constB195)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB195) <=> (~((~v159(constB195)) | (~v194(constB195))))))),
% 7.72/5.94 inference(transitivity,[status(thm)],[36414, 36412])).
% 7.72/5.94 tff(36416,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB195) <=> (~((~v194(constB195)) | (~v159(constB195)))))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36417,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB195) <=> (~((~v159(constB195)) | (~v194(constB195)))))),
% 7.72/5.94 inference(modus_ponens,[status(thm)],[36416, 36415])).
% 7.72/5.94 tff(36418,plain,
% 7.72/5.94 (v196(constB195) <=> (~((~v159(constB195)) | (~v194(constB195))))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36417, 15467])).
% 7.72/5.94 tff(36419,plain,
% 7.72/5.94 (((~v159(constB195)) | (~v194(constB195))) | v159(constB195)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36420,plain,
% 7.72/5.94 ((~v159(constB195)) | (~v194(constB195))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36419, 33561])).
% 7.72/5.94 tff(36421,plain,
% 7.72/5.94 ((~(v196(constB195) <=> (~((~v159(constB195)) | (~v194(constB195)))))) | (~v196(constB195)) | (~((~v159(constB195)) | (~v194(constB195))))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36422,plain,
% 7.72/5.94 (~v196(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36421, 36420, 36418])).
% 7.72/5.94 tff(36423,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB195) <=> (~((~v157(constB195)) | (~v194(constB195)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB195) <=> (~((~v157(constB195)) | (~v194(constB195))))))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36424,plain,
% 7.72/5.94 ((v193(constB195) <=> (~((~v194(constB195)) | (~v157(constB195))))) <=> (v193(constB195) <=> (~((~v157(constB195)) | (~v194(constB195)))))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36425,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB195) <=> (~((~v194(constB195)) | (~v157(constB195)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB195) <=> (~((~v157(constB195)) | (~v194(constB195))))))),
% 7.72/5.94 inference(monotonicity,[status(thm)],[36424])).
% 7.72/5.94 tff(36426,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB195) <=> (~((~v194(constB195)) | (~v157(constB195)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB195) <=> (~((~v157(constB195)) | (~v194(constB195))))))),
% 7.72/5.94 inference(transitivity,[status(thm)],[36425, 36423])).
% 7.72/5.94 tff(36427,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB195) <=> (~((~v194(constB195)) | (~v157(constB195)))))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36428,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB195) <=> (~((~v157(constB195)) | (~v194(constB195)))))),
% 7.72/5.94 inference(modus_ponens,[status(thm)],[36427, 36426])).
% 7.72/5.94 tff(36429,plain,
% 7.72/5.94 (v193(constB195) <=> (~((~v157(constB195)) | (~v194(constB195))))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36428, 15442])).
% 7.72/5.94 tff(36430,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB195)) <=> v195(constB195))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36431,plain,
% 7.72/5.94 ((~v194(constB195)) <=> v195(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36430, 15527])).
% 7.72/5.94 tff(36432,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB195) <=> (v185(constB195) | v26(constB195)))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36433,plain,
% 7.72/5.94 (v195(constB195) <=> (v185(constB195) | v26(constB195))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36432, 15536])).
% 7.72/5.94 tff(36434,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB195) <=> (~((~v39(constB195)) | (~v9(constB195)))))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36435,plain,
% 7.72/5.94 (v185(constB195) <=> (~((~v39(constB195)) | (~v9(constB195))))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36434, 93])).
% 7.72/5.94 tff(36436,plain,
% 7.72/5.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195)))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36437,plain,
% 7.72/5.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195)))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36438,plain,
% 7.72/5.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195))),
% 7.72/5.94 inference(modus_ponens,[status(thm)],[36437, 36436])).
% 7.72/5.94 tff(36439,plain,
% 7.72/5.94 (v13(constB196) <=> v9(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36438, 34529, 15550])).
% 7.72/5.94 tff(36440,plain,
% 7.72/5.94 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB196) <=> v13(constB196))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36441,plain,
% 7.72/5.94 (v6(constB196) <=> v13(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36440, 15564])).
% 7.72/5.94 tff(36442,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB196)) <=> v6(constB196))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36443,plain,
% 7.72/5.94 ((~v21(constB196)) <=> v6(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36442, 15573])).
% 7.72/5.94 tff(36444,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB196) <=> (v20(constB196) | v21(constB196)))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36445,plain,
% 7.72/5.94 (v19(constB196) <=> (v20(constB196) | v21(constB196))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36444, 15582])).
% 7.72/5.94 tff(36446,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196)))))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36447,plain,
% 7.72/5.94 (v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196))))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36446, 15594])).
% 7.72/5.94 tff(36448,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB196)) <=> v18(constB196))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36449,plain,
% 7.72/5.94 ((~v4(constB196)) <=> v18(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36448, 15603])).
% 7.72/5.94 tff(36450,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB196)),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36451,plain,
% 7.72/5.94 (v4(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36450, 15612])).
% 7.72/5.94 tff(36452,plain,
% 7.72/5.94 ((~((~v4(constB196)) <=> v18(constB196))) | (~v4(constB196)) | (~v18(constB196))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36453,plain,
% 7.72/5.94 (~v18(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36452, 36451, 36449])).
% 7.72/5.94 tff(36454,plain,
% 7.72/5.94 ((~(v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196)))))) | v18(constB196) | ((~v19(constB196)) | (~v22(constB196)))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36455,plain,
% 7.72/5.94 ((~v19(constB196)) | (~v22(constB196))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36454, 36453, 36447])).
% 7.72/5.94 tff(36456,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB196) <=> (v1(constB196) | v6(constB196)))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36457,plain,
% 7.72/5.94 (v22(constB196) <=> (v1(constB196) | v6(constB196))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36456, 15625])).
% 7.72/5.94 tff(36458,plain,
% 7.72/5.94 ((v1(constB196) | v6(constB196)) | (~v1(constB196))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36459,plain,
% 7.72/5.94 (v1(constB196) | v6(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36458, 34849])).
% 7.72/5.94 tff(36460,plain,
% 7.72/5.94 ((~(v22(constB196) <=> (v1(constB196) | v6(constB196)))) | v22(constB196) | (~(v1(constB196) | v6(constB196)))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36461,plain,
% 7.72/5.94 ((~(v22(constB196) <=> (v1(constB196) | v6(constB196)))) | v22(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36460, 36459])).
% 7.72/5.94 tff(36462,plain,
% 7.72/5.94 (v22(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36461, 36457])).
% 7.72/5.94 tff(36463,plain,
% 7.72/5.94 ((~((~v19(constB196)) | (~v22(constB196)))) | (~v19(constB196)) | (~v22(constB196))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36464,plain,
% 7.72/5.94 ((~((~v19(constB196)) | (~v22(constB196)))) | (~v19(constB196))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36463, 36462])).
% 7.72/5.94 tff(36465,plain,
% 7.72/5.94 (~v19(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36464, 36455])).
% 7.72/5.94 tff(36466,plain,
% 7.72/5.94 ((~(v19(constB196) <=> (v20(constB196) | v21(constB196)))) | v19(constB196) | (~(v20(constB196) | v21(constB196)))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36467,plain,
% 7.72/5.94 (~(v20(constB196) | v21(constB196))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36466, 36465, 36445])).
% 7.72/5.94 tff(36468,plain,
% 7.72/5.94 ((v20(constB196) | v21(constB196)) | (~v21(constB196))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36469,plain,
% 7.72/5.94 (~v21(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36468, 36467])).
% 7.72/5.94 tff(36470,plain,
% 7.72/5.94 ((~((~v21(constB196)) <=> v6(constB196))) | v21(constB196) | v6(constB196)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36471,plain,
% 7.72/5.94 (v6(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36470, 36469, 36443])).
% 7.72/5.94 tff(36472,plain,
% 7.72/5.94 ((~(v6(constB196) <=> v13(constB196))) | (~v6(constB196)) | v13(constB196)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36473,plain,
% 7.72/5.94 (v13(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36472, 36471, 36441])).
% 7.72/5.94 tff(36474,plain,
% 7.72/5.94 ((~(v13(constB196) <=> v9(constB195))) | (~v13(constB196)) | v9(constB195)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36475,plain,
% 7.72/5.94 (v9(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36474, 36473, 36439])).
% 7.72/5.94 tff(36476,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB195)) <=> v1(constB195))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36477,plain,
% 7.72/5.94 ((~v39(constB195)) <=> v1(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36476, 102])).
% 7.72/5.94 tff(36478,plain,
% 7.72/5.94 ((~((~v39(constB195)) <=> v1(constB195))) | v39(constB195) | v1(constB195)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36479,plain,
% 7.72/5.94 ((~((~v39(constB195)) <=> v1(constB195))) | v39(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36478, 34565])).
% 7.72/5.94 tff(36480,plain,
% 7.72/5.94 (v39(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36479, 36477])).
% 7.72/5.94 tff(36481,plain,
% 7.72/5.94 ((~((~v39(constB195)) | (~v9(constB195)))) | (~v39(constB195)) | (~v9(constB195))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36482,plain,
% 7.72/5.94 ((~((~v39(constB195)) | (~v9(constB195)))) | (~v9(constB195))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36481, 36480])).
% 7.72/5.94 tff(36483,plain,
% 7.72/5.94 (~((~v39(constB195)) | (~v9(constB195)))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36482, 36475])).
% 7.72/5.94 tff(36484,plain,
% 7.72/5.94 ((~(v185(constB195) <=> (~((~v39(constB195)) | (~v9(constB195)))))) | v185(constB195) | ((~v39(constB195)) | (~v9(constB195)))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36485,plain,
% 7.72/5.94 (v185(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36484, 36483, 36435])).
% 7.72/5.94 tff(36486,plain,
% 7.72/5.94 ((v185(constB195) | v26(constB195)) | (~v185(constB195))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36487,plain,
% 7.72/5.94 (v185(constB195) | v26(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36486, 36485])).
% 7.72/5.94 tff(36488,plain,
% 7.72/5.94 ((~(v195(constB195) <=> (v185(constB195) | v26(constB195)))) | v195(constB195) | (~(v185(constB195) | v26(constB195)))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36489,plain,
% 7.72/5.94 (v195(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36488, 36487, 36433])).
% 7.72/5.94 tff(36490,plain,
% 7.72/5.94 ((~((~v194(constB195)) <=> v195(constB195))) | (~v194(constB195)) | (~v195(constB195))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36491,plain,
% 7.72/5.94 (~v194(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36490, 36489, 36431])).
% 7.72/5.94 tff(36492,plain,
% 7.72/5.94 (((~v157(constB195)) | (~v194(constB195))) | v194(constB195)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36493,plain,
% 7.72/5.94 ((~v157(constB195)) | (~v194(constB195))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36492, 36491])).
% 7.72/5.94 tff(36494,plain,
% 7.72/5.94 ((~(v193(constB195) <=> (~((~v157(constB195)) | (~v194(constB195)))))) | (~v193(constB195)) | (~((~v157(constB195)) | (~v194(constB195))))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36495,plain,
% 7.72/5.94 (~v193(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36494, 36493, 36429])).
% 7.72/5.94 tff(36496,plain,
% 7.72/5.94 ((~(v193(constB195) | v196(constB195))) | v193(constB195) | v196(constB195)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36497,plain,
% 7.72/5.94 (~(v193(constB195) | v196(constB195))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36496, 36495, 36422])).
% 7.72/5.94 tff(36498,plain,
% 7.72/5.94 ((~(v190(constB195) <=> (v193(constB195) | v196(constB195)))) | (~v190(constB195)) | (v193(constB195) | v196(constB195))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36499,plain,
% 7.72/5.94 (~v190(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36498, 36497, 36411])).
% 7.72/5.94 tff(36500,plain,
% 7.72/5.94 ((~(v192(constB196) <=> v190(constB195))) | (~v192(constB196)) | v190(constB195)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36501,plain,
% 7.72/5.94 (~v192(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36500, 36499, 36409])).
% 7.72/5.94 tff(36502,plain,
% 7.72/5.94 ((~(v157(constB196) <=> v192(constB196))) | (~v157(constB196)) | v192(constB196)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36503,plain,
% 7.72/5.94 (~v157(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36502, 36501, 36405])).
% 7.72/5.94 tff(36504,plain,
% 7.72/5.94 (((~v157(constB196)) | (~v194(constB196))) | v157(constB196)),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36505,plain,
% 7.72/5.94 ((~v157(constB196)) | (~v194(constB196))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36504, 36503])).
% 7.72/5.94 tff(36506,plain,
% 7.72/5.94 ((~(v193(constB196) <=> (~((~v157(constB196)) | (~v194(constB196)))))) | (~v193(constB196)) | (~((~v157(constB196)) | (~v194(constB196))))),
% 7.72/5.94 inference(tautology,[status(thm)],[])).
% 7.72/5.94 tff(36507,plain,
% 7.72/5.94 (~v193(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36506, 36505, 36403])).
% 7.72/5.94 tff(36508,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB196) <=> (~((~v159(constB196)) | (~v194(constB196)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB196) <=> (~((~v159(constB196)) | (~v194(constB196))))))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36509,plain,
% 7.72/5.94 ((v196(constB196) <=> (~((~v194(constB196)) | (~v159(constB196))))) <=> (v196(constB196) <=> (~((~v159(constB196)) | (~v194(constB196)))))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36510,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB196) <=> (~((~v194(constB196)) | (~v159(constB196)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB196) <=> (~((~v159(constB196)) | (~v194(constB196))))))),
% 7.72/5.94 inference(monotonicity,[status(thm)],[36509])).
% 7.72/5.94 tff(36511,plain,
% 7.72/5.94 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB196) <=> (~((~v194(constB196)) | (~v159(constB196)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB196) <=> (~((~v159(constB196)) | (~v194(constB196))))))),
% 7.72/5.94 inference(transitivity,[status(thm)],[36510, 36508])).
% 7.72/5.94 tff(36512,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB196) <=> (~((~v194(constB196)) | (~v159(constB196)))))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36513,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB196) <=> (~((~v159(constB196)) | (~v194(constB196)))))),
% 7.72/5.94 inference(modus_ponens,[status(thm)],[36512, 36511])).
% 7.72/5.94 tff(36514,plain,
% 7.72/5.94 (v196(constB196) <=> (~((~v159(constB196)) | (~v194(constB196))))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36513, 15467])).
% 7.72/5.94 tff(36515,plain,
% 7.72/5.94 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB196) <=> v182(constB196))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36516,plain,
% 7.72/5.94 (v159(constB196) <=> v182(constB196)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36515, 15113])).
% 7.72/5.94 tff(36517,plain,
% 7.72/5.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB195, constB196)) | (v182(constB196) <=> v180(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB195, constB196)) | (v182(constB196) <=> v180(constB195)))),
% 7.72/5.94 inference(rewrite,[status(thm)],[])).
% 7.72/5.94 tff(36518,plain,
% 7.72/5.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB195, constB196)) | (v182(constB196) <=> v180(constB195)))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36519,plain,
% 7.72/5.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB195, constB196)) | (v182(constB196) <=> v180(constB195))),
% 7.72/5.94 inference(modus_ponens,[status(thm)],[36518, 36517])).
% 7.72/5.94 tff(36520,plain,
% 7.72/5.94 (v182(constB196) <=> v180(constB195)),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36519, 34529, 15125])).
% 7.72/5.94 tff(36521,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB195) <=> (~((~v183(constB195)) | (~v184(constB195)))))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36522,plain,
% 7.72/5.94 (v180(constB195) <=> (~((~v183(constB195)) | (~v184(constB195))))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36521, 15139])).
% 7.72/5.94 tff(36523,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB195) <=> (~((~v185(constB195)) | (~v161(constB195)))))),
% 7.72/5.94 inference(quant_inst,[status(thm)],[])).
% 7.72/5.94 tff(36524,plain,
% 7.72/5.94 (v184(constB195) <=> (~((~v185(constB195)) | (~v161(constB195))))),
% 7.72/5.94 inference(unit_resolution,[status(thm)],[36523, 15151])).
% 7.72/5.94 tff(36525,plain,
% 7.72/5.94 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB195) <=> v163(constB195))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36526,plain,
% 7.72/5.95 (v161(constB195) <=> v163(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36525, 15701])).
% 7.72/5.95 tff(36527,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB195) <=> (v145(constB195) | v167(constB195)))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36528,plain,
% 7.72/5.95 (v166(constB195) <=> (v145(constB195) | v167(constB195))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36527, 15713])).
% 7.72/5.95 tff(36529,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB195) <=> (v142(constB195) | v168(constB195)))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36530,plain,
% 7.72/5.95 (v167(constB195) <=> (v142(constB195) | v168(constB195))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36529, 15725])).
% 7.72/5.95 tff(36531,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB195) <=> (v143(constB195) | v144(constB195)))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36532,plain,
% 7.72/5.95 (v142(constB195) <=> (v143(constB195) | v144(constB195))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36531, 221])).
% 7.72/5.95 tff(36533,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB195) <=> (~((~v88(constB195, 1)) | (~v88(constB195, 2)) | v88(constB195, 0))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB195) <=> (~((~v88(constB195, 1)) | (~v88(constB195, 2)) | v88(constB195, 0)))))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36534,plain,
% 7.72/5.95 ((v144(constB195) <=> (~(v88(constB195, 0) | (~v88(constB195, 1)) | (~v88(constB195, 2))))) <=> (v144(constB195) <=> (~((~v88(constB195, 1)) | (~v88(constB195, 2)) | v88(constB195, 0))))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36535,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB195) <=> (~(v88(constB195, 0) | (~v88(constB195, 1)) | (~v88(constB195, 2)))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB195) <=> (~((~v88(constB195, 1)) | (~v88(constB195, 2)) | v88(constB195, 0)))))),
% 7.72/5.95 inference(monotonicity,[status(thm)],[36534])).
% 7.72/5.95 tff(36536,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB195) <=> (~(v88(constB195, 0) | (~v88(constB195, 1)) | (~v88(constB195, 2)))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB195) <=> (~((~v88(constB195, 1)) | (~v88(constB195, 2)) | v88(constB195, 0)))))),
% 7.72/5.95 inference(transitivity,[status(thm)],[36535, 36533])).
% 7.72/5.95 tff(36537,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB195) <=> (~(v88(constB195, 0) | (~v88(constB195, 1)) | (~v88(constB195, 2)))))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36538,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB195) <=> (~((~v88(constB195, 1)) | (~v88(constB195, 2)) | v88(constB195, 0))))),
% 7.72/5.95 inference(modus_ponens,[status(thm)],[36537, 36536])).
% 7.72/5.95 tff(36539,plain,
% 7.72/5.95 (v144(constB195) <=> (~((~v88(constB195, 1)) | (~v88(constB195, 2)) | v88(constB195, 0)))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36538, 28763])).
% 7.72/5.95 tff(36540,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB195, 1)) <=> v90(constB195, 1)) | ((~v88(constB195, 2)) <=> v90(constB195, 2)) | ((~v88(constB195, 0)) <=> v90(constB195, 0))))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36541,plain,
% 7.72/5.95 (~(((~v88(constB195, 1)) <=> v90(constB195, 1)) | ((~v88(constB195, 2)) <=> v90(constB195, 2)) | ((~v88(constB195, 0)) <=> v90(constB195, 0)))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36540, 256])).
% 7.72/5.95 tff(36542,plain,
% 7.72/5.95 ((((~v88(constB195, 1)) <=> v90(constB195, 1)) | ((~v88(constB195, 2)) <=> v90(constB195, 2)) | ((~v88(constB195, 0)) <=> v90(constB195, 0))) | (~((~v88(constB195, 2)) <=> v90(constB195, 2)))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36543,plain,
% 7.72/5.95 (~((~v88(constB195, 2)) <=> v90(constB195, 2))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36542, 36541])).
% 7.72/5.95 tff(36544,plain,
% 7.72/5.95 (((~v88(constB195, 2)) <=> v90(constB195, 2)) | v88(constB195, 2) | (~v90(constB195, 2))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36545,plain,
% 7.72/5.95 (v88(constB195, 2)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36544, 34795, 36543])).
% 7.72/5.95 tff(36546,plain,
% 7.72/5.95 ((((~v88(constB195, 1)) <=> v90(constB195, 1)) | ((~v88(constB195, 2)) <=> v90(constB195, 2)) | ((~v88(constB195, 0)) <=> v90(constB195, 0))) | (~((~v88(constB195, 0)) <=> v90(constB195, 0)))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36547,plain,
% 7.72/5.95 (~((~v88(constB195, 0)) <=> v90(constB195, 0))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36546, 36541])).
% 7.72/5.95 tff(36548,plain,
% 7.72/5.95 (((~v88(constB195, 0)) <=> v90(constB195, 0)) | (~v88(constB195, 0)) | v90(constB195, 0)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36549,plain,
% 7.72/5.95 (~v88(constB195, 0)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36548, 34715, 36547])).
% 7.72/5.95 tff(36550,plain,
% 7.72/5.95 ((((~v88(constB195, 1)) <=> v90(constB195, 1)) | ((~v88(constB195, 2)) <=> v90(constB195, 2)) | ((~v88(constB195, 0)) <=> v90(constB195, 0))) | (~((~v88(constB195, 1)) <=> v90(constB195, 1)))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36551,plain,
% 7.72/5.95 (~((~v88(constB195, 1)) <=> v90(constB195, 1))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36550, 36541])).
% 7.72/5.95 tff(36552,plain,
% 7.72/5.95 (((~v88(constB195, 1)) <=> v90(constB195, 1)) | v88(constB195, 1) | (~v90(constB195, 1))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36553,plain,
% 7.72/5.95 (v88(constB195, 1)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36552, 34755, 36551])).
% 7.72/5.95 tff(36554,plain,
% 7.72/5.95 ((~((~v88(constB195, 1)) | (~v88(constB195, 2)) | v88(constB195, 0))) | (~v88(constB195, 1)) | (~v88(constB195, 2)) | v88(constB195, 0)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36555,plain,
% 7.72/5.95 (~((~v88(constB195, 1)) | (~v88(constB195, 2)) | v88(constB195, 0))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36554, 36553, 36549, 36545])).
% 7.72/5.95 tff(36556,plain,
% 7.72/5.95 ((~(v144(constB195) <=> (~((~v88(constB195, 1)) | (~v88(constB195, 2)) | v88(constB195, 0))))) | v144(constB195) | ((~v88(constB195, 1)) | (~v88(constB195, 2)) | v88(constB195, 0))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36557,plain,
% 7.72/5.95 (v144(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36556, 36555, 36539])).
% 7.72/5.95 tff(36558,plain,
% 7.72/5.95 ((v143(constB195) | v144(constB195)) | (~v144(constB195))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36559,plain,
% 7.72/5.95 (v143(constB195) | v144(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36558, 36557])).
% 7.72/5.95 tff(36560,plain,
% 7.72/5.95 ((~(v142(constB195) <=> (v143(constB195) | v144(constB195)))) | v142(constB195) | (~(v143(constB195) | v144(constB195)))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36561,plain,
% 7.72/5.95 (v142(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36560, 36559, 36532])).
% 7.72/5.95 tff(36562,plain,
% 7.72/5.95 ((v142(constB195) | v168(constB195)) | (~v142(constB195))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36563,plain,
% 7.72/5.95 (v142(constB195) | v168(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36562, 36561])).
% 7.72/5.95 tff(36564,plain,
% 7.72/5.95 ((~(v167(constB195) <=> (v142(constB195) | v168(constB195)))) | v167(constB195) | (~(v142(constB195) | v168(constB195)))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36565,plain,
% 7.72/5.95 ((~(v167(constB195) <=> (v142(constB195) | v168(constB195)))) | v167(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36564, 36563])).
% 7.72/5.95 tff(36566,plain,
% 7.72/5.95 (v167(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36565, 36530])).
% 7.72/5.95 tff(36567,plain,
% 7.72/5.95 ((v145(constB195) | v167(constB195)) | (~v167(constB195))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36568,plain,
% 7.72/5.95 (v145(constB195) | v167(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36567, 36566])).
% 7.72/5.95 tff(36569,plain,
% 7.72/5.95 ((~(v166(constB195) <=> (v145(constB195) | v167(constB195)))) | v166(constB195) | (~(v145(constB195) | v167(constB195)))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36570,plain,
% 7.72/5.95 (v166(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36569, 36568, 36528])).
% 7.72/5.95 tff(36571,plain,
% 7.72/5.95 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB195)) | (v163(constB195) <=> v170(constB195)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB195)) | (v163(constB195) <=> v170(constB195)))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36572,plain,
% 7.72/5.95 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB195)) | (v163(constB195) <=> v170(constB195)))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36573,plain,
% 7.72/5.95 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB195)) | (v163(constB195) <=> v170(constB195))),
% 7.72/5.95 inference(modus_ponens,[status(thm)],[36572, 36571])).
% 7.72/5.95 tff(36574,plain,
% 7.72/5.95 ((~v166(constB195)) | (v163(constB195) <=> v170(constB195))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36573, 15777])).
% 7.72/5.95 tff(36575,plain,
% 7.72/5.95 (v163(constB195) <=> v170(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36574, 36570])).
% 7.72/5.95 tff(36576,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB195) <=> (~(v88(constB195, 1) | v88(constB195, 2) | (~v88(constB195, 0)))))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36577,plain,
% 7.72/5.95 (v140(constB195) <=> (~(v88(constB195, 1) | v88(constB195, 2) | (~v88(constB195, 0))))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36576, 15814])).
% 7.72/5.95 tff(36578,plain,
% 7.72/5.95 ((v88(constB195, 1) | v88(constB195, 2) | (~v88(constB195, 0))) | v88(constB195, 0)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36579,plain,
% 7.72/5.95 (v88(constB195, 1) | v88(constB195, 2) | (~v88(constB195, 0))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36578, 36549])).
% 7.72/5.95 tff(36580,plain,
% 7.72/5.95 ((~(v140(constB195) <=> (~(v88(constB195, 1) | v88(constB195, 2) | (~v88(constB195, 0)))))) | (~v140(constB195)) | (~(v88(constB195, 1) | v88(constB195, 2) | (~v88(constB195, 0))))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36581,plain,
% 7.72/5.95 (~v140(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36580, 36579, 36577])).
% 7.72/5.95 tff(36582,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB195) <=> (~(v88(constB195, 0) | v88(constB195, 1) | v88(constB195, 2))))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36583,plain,
% 7.72/5.95 (v139(constB195) <=> (~(v88(constB195, 0) | v88(constB195, 1) | v88(constB195, 2)))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36582, 15795])).
% 7.72/5.95 tff(36584,plain,
% 7.72/5.95 ((v88(constB195, 0) | v88(constB195, 1) | v88(constB195, 2)) | (~v88(constB195, 2))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36585,plain,
% 7.72/5.95 (v88(constB195, 0) | v88(constB195, 1) | v88(constB195, 2)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36584, 36545])).
% 7.72/5.95 tff(36586,plain,
% 7.72/5.95 ((~(v139(constB195) <=> (~(v88(constB195, 0) | v88(constB195, 1) | v88(constB195, 2))))) | (~v139(constB195)) | (~(v88(constB195, 0) | v88(constB195, 1) | v88(constB195, 2)))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36587,plain,
% 7.72/5.95 (~v139(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36586, 36585, 36583])).
% 7.72/5.95 tff(36588,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB195) | v139(constB195) | (~v170(constB195)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB195) | v139(constB195) | (~v170(constB195)))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36589,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB195) | v139(constB195) | (~v170(constB195)))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36590,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB195) | v139(constB195) | (~v170(constB195))),
% 7.72/5.95 inference(modus_ponens,[status(thm)],[36589, 36588])).
% 7.72/5.95 tff(36591,plain,
% 7.72/5.95 (v140(constB195) | v139(constB195) | (~v170(constB195))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36590, 15833])).
% 7.72/5.95 tff(36592,plain,
% 7.72/5.95 (~v170(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36591, 36587, 36581])).
% 7.72/5.95 tff(36593,plain,
% 7.72/5.95 ((~(v163(constB195) <=> v170(constB195))) | (~v163(constB195)) | v170(constB195)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36594,plain,
% 7.72/5.95 ((~(v163(constB195) <=> v170(constB195))) | (~v163(constB195))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36593, 36592])).
% 7.72/5.95 tff(36595,plain,
% 7.72/5.95 (~v163(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36594, 36575])).
% 7.72/5.95 tff(36596,plain,
% 7.72/5.95 ((~(v161(constB195) <=> v163(constB195))) | (~v161(constB195)) | v163(constB195)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36597,plain,
% 7.72/5.95 ((~(v161(constB195) <=> v163(constB195))) | (~v161(constB195))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36596, 36595])).
% 7.72/5.95 tff(36598,plain,
% 7.72/5.95 (~v161(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36597, 36526])).
% 7.72/5.95 tff(36599,plain,
% 7.72/5.95 (((~v185(constB195)) | (~v161(constB195))) | v161(constB195)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36600,plain,
% 7.72/5.95 ((~v185(constB195)) | (~v161(constB195))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36599, 36598])).
% 7.72/5.95 tff(36601,plain,
% 7.72/5.95 ((~(v184(constB195) <=> (~((~v185(constB195)) | (~v161(constB195)))))) | (~v184(constB195)) | (~((~v185(constB195)) | (~v161(constB195))))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36602,plain,
% 7.72/5.95 (~v184(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36601, 36600, 36524])).
% 7.72/5.95 tff(36603,plain,
% 7.72/5.95 (((~v183(constB195)) | (~v184(constB195))) | v184(constB195)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36604,plain,
% 7.72/5.95 ((~v183(constB195)) | (~v184(constB195))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36603, 36602])).
% 7.72/5.95 tff(36605,plain,
% 7.72/5.95 ((~(v180(constB195) <=> (~((~v183(constB195)) | (~v184(constB195)))))) | (~v180(constB195)) | (~((~v183(constB195)) | (~v184(constB195))))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36606,plain,
% 7.72/5.95 (~v180(constB195)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36605, 36604, 36522])).
% 7.72/5.95 tff(36607,plain,
% 7.72/5.95 ((~(v182(constB196) <=> v180(constB195))) | (~v182(constB196)) | v180(constB195)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36608,plain,
% 7.72/5.95 (~v182(constB196)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36607, 36606, 36520])).
% 7.72/5.95 tff(36609,plain,
% 7.72/5.95 ((~(v159(constB196) <=> v182(constB196))) | (~v159(constB196)) | v182(constB196)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36610,plain,
% 7.72/5.95 (~v159(constB196)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36609, 36608, 36516])).
% 7.72/5.95 tff(36611,plain,
% 7.72/5.95 (((~v159(constB196)) | (~v194(constB196))) | v159(constB196)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36612,plain,
% 7.72/5.95 ((~v159(constB196)) | (~v194(constB196))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36611, 36610])).
% 7.72/5.95 tff(36613,plain,
% 7.72/5.95 ((~(v196(constB196) <=> (~((~v159(constB196)) | (~v194(constB196)))))) | (~v196(constB196)) | (~((~v159(constB196)) | (~v194(constB196))))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36614,plain,
% 7.72/5.95 (~v196(constB196)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36613, 36612, 36514])).
% 7.72/5.95 tff(36615,plain,
% 7.72/5.95 ((~(v193(constB196) | v196(constB196))) | v193(constB196) | v196(constB196)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36616,plain,
% 7.72/5.95 (~(v193(constB196) | v196(constB196))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36615, 36614, 36507])).
% 7.72/5.95 tff(36617,plain,
% 7.72/5.95 ((~(v190(constB196) <=> (v193(constB196) | v196(constB196)))) | (~v190(constB196)) | (v193(constB196) | v196(constB196))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36618,plain,
% 7.72/5.95 (~v190(constB196)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36617, 36616, 36396])).
% 7.72/5.95 tff(36619,plain,
% 7.72/5.95 ((~(v192(constB197) <=> v190(constB196))) | (~v192(constB197)) | v190(constB196)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36620,plain,
% 7.72/5.95 (~v192(constB197)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36619, 36618, 36394])).
% 7.72/5.95 tff(36621,plain,
% 7.72/5.95 ((~(v157(constB197) <=> v192(constB197))) | (~v157(constB197)) | v192(constB197)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36622,plain,
% 7.72/5.95 (~v157(constB197)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36621, 36620, 36390])).
% 7.72/5.95 tff(36623,plain,
% 7.72/5.95 (((~v157(constB197)) | (~v202(constB197))) | v157(constB197)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36624,plain,
% 7.72/5.95 ((~v157(constB197)) | (~v202(constB197))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36623, 36622])).
% 7.72/5.95 tff(36625,plain,
% 7.72/5.95 ((~(v201(constB197) <=> (~((~v157(constB197)) | (~v202(constB197)))))) | (~v201(constB197)) | (~((~v157(constB197)) | (~v202(constB197))))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36626,plain,
% 7.72/5.95 (~v201(constB197)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36625, 36624, 36388])).
% 7.72/5.95 tff(36627,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB197) <=> (~((~v159(constB197)) | (~v202(constB197)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB197) <=> (~((~v159(constB197)) | (~v202(constB197))))))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36628,plain,
% 7.72/5.95 ((v205(constB197) <=> (~((~v202(constB197)) | (~v159(constB197))))) <=> (v205(constB197) <=> (~((~v159(constB197)) | (~v202(constB197)))))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36629,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB197) <=> (~((~v202(constB197)) | (~v159(constB197)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB197) <=> (~((~v159(constB197)) | (~v202(constB197))))))),
% 7.72/5.95 inference(monotonicity,[status(thm)],[36628])).
% 7.72/5.95 tff(36630,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB197) <=> (~((~v202(constB197)) | (~v159(constB197)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB197) <=> (~((~v159(constB197)) | (~v202(constB197))))))),
% 7.72/5.95 inference(transitivity,[status(thm)],[36629, 36627])).
% 7.72/5.95 tff(36631,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB197) <=> (~((~v202(constB197)) | (~v159(constB197)))))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36632,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB197) <=> (~((~v159(constB197)) | (~v202(constB197)))))),
% 7.72/5.95 inference(modus_ponens,[status(thm)],[36631, 36630])).
% 7.72/5.95 tff(36633,plain,
% 7.72/5.95 (v205(constB197) <=> (~((~v159(constB197)) | (~v202(constB197))))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36632, 138])).
% 7.72/5.95 tff(36634,plain,
% 7.72/5.95 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB197) <=> v182(constB197))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36635,plain,
% 7.72/5.95 (v159(constB197) <=> v182(constB197)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36634, 15113])).
% 7.72/5.95 tff(36636,plain,
% 7.72/5.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB196, constB197)) | (v182(constB197) <=> v180(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB196, constB197)) | (v182(constB197) <=> v180(constB196)))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36637,plain,
% 7.72/5.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB196, constB197)) | (v182(constB197) <=> v180(constB196)))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36638,plain,
% 7.72/5.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB196, constB197)) | (v182(constB197) <=> v180(constB196))),
% 7.72/5.95 inference(modus_ponens,[status(thm)],[36637, 36636])).
% 7.72/5.95 tff(36639,plain,
% 7.72/5.95 (v182(constB197) <=> v180(constB196)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36638, 34493, 15125])).
% 7.72/5.95 tff(36640,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB196) <=> (~((~v183(constB196)) | (~v184(constB196)))))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36641,plain,
% 7.72/5.95 (v180(constB196) <=> (~((~v183(constB196)) | (~v184(constB196))))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36640, 15139])).
% 7.72/5.95 tff(36642,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB196) <=> (~((~v185(constB196)) | (~v161(constB196)))))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36643,plain,
% 7.72/5.95 (v184(constB196) <=> (~((~v185(constB196)) | (~v161(constB196))))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36642, 15151])).
% 7.72/5.95 tff(36644,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36645,plain,
% 7.72/5.95 (v185(constB196) <=> (~((~v39(constB196)) | (~v9(constB196))))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36644, 93])).
% 7.72/5.95 tff(36646,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB196)) <=> v1(constB196))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36647,plain,
% 7.72/5.95 ((~v39(constB196)) <=> v1(constB196)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36646, 102])).
% 7.72/5.95 tff(36648,plain,
% 7.72/5.95 ((~((~v39(constB196)) <=> v1(constB196))) | (~v39(constB196)) | (~v1(constB196))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36649,plain,
% 7.72/5.95 ((~((~v39(constB196)) <=> v1(constB196))) | (~v39(constB196))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36648, 34849])).
% 7.72/5.95 tff(36650,plain,
% 7.72/5.95 (~v39(constB196)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36649, 36647])).
% 7.72/5.95 tff(36651,plain,
% 7.72/5.95 (((~v39(constB196)) | (~v9(constB196))) | v39(constB196)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36652,plain,
% 7.72/5.95 ((~v39(constB196)) | (~v9(constB196))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36651, 36650])).
% 7.72/5.95 tff(36653,plain,
% 7.72/5.95 ((~(v185(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))) | (~v185(constB196)) | (~((~v39(constB196)) | (~v9(constB196))))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36654,plain,
% 7.72/5.95 ((~(v185(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))) | (~v185(constB196))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36653, 36652])).
% 7.72/5.95 tff(36655,plain,
% 7.72/5.95 (~v185(constB196)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36654, 36645])).
% 7.72/5.95 tff(36656,plain,
% 7.72/5.95 (((~v185(constB196)) | (~v161(constB196))) | v185(constB196)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36657,plain,
% 7.72/5.95 ((~v185(constB196)) | (~v161(constB196))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36656, 36655])).
% 7.72/5.95 tff(36658,plain,
% 7.72/5.95 ((~(v184(constB196) <=> (~((~v185(constB196)) | (~v161(constB196)))))) | (~v184(constB196)) | (~((~v185(constB196)) | (~v161(constB196))))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36659,plain,
% 7.72/5.95 ((~(v184(constB196) <=> (~((~v185(constB196)) | (~v161(constB196)))))) | (~v184(constB196))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36658, 36657])).
% 7.72/5.95 tff(36660,plain,
% 7.72/5.95 (~v184(constB196)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36659, 36643])).
% 7.72/5.95 tff(36661,plain,
% 7.72/5.95 (((~v183(constB196)) | (~v184(constB196))) | v184(constB196)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36662,plain,
% 7.72/5.95 ((~v183(constB196)) | (~v184(constB196))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36661, 36660])).
% 7.72/5.95 tff(36663,plain,
% 7.72/5.95 ((~(v180(constB196) <=> (~((~v183(constB196)) | (~v184(constB196)))))) | (~v180(constB196)) | (~((~v183(constB196)) | (~v184(constB196))))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36664,plain,
% 7.72/5.95 (~v180(constB196)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36663, 36662, 36641])).
% 7.72/5.95 tff(36665,plain,
% 7.72/5.95 ((~(v182(constB197) <=> v180(constB196))) | (~v182(constB197)) | v180(constB196)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36666,plain,
% 7.72/5.95 (~v182(constB197)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36665, 36664, 36639])).
% 7.72/5.95 tff(36667,plain,
% 7.72/5.95 ((~(v159(constB197) <=> v182(constB197))) | (~v159(constB197)) | v182(constB197)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36668,plain,
% 7.72/5.95 (~v159(constB197)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36667, 36666, 36635])).
% 7.72/5.95 tff(36669,plain,
% 7.72/5.95 (((~v159(constB197)) | (~v202(constB197))) | v159(constB197)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36670,plain,
% 7.72/5.95 ((~v159(constB197)) | (~v202(constB197))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36669, 36668])).
% 7.72/5.95 tff(36671,plain,
% 7.72/5.95 ((~(v205(constB197) <=> (~((~v159(constB197)) | (~v202(constB197)))))) | (~v205(constB197)) | (~((~v159(constB197)) | (~v202(constB197))))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36672,plain,
% 7.72/5.95 (~v205(constB197)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36671, 36670, 36633])).
% 7.72/5.95 tff(36673,plain,
% 7.72/5.95 ((~(v201(constB197) | v205(constB197))) | v201(constB197) | v205(constB197)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36674,plain,
% 7.72/5.95 ((~(v201(constB197) | v205(constB197))) | v201(constB197)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36673, 36672])).
% 7.72/5.95 tff(36675,plain,
% 7.72/5.95 (~(v201(constB197) | v205(constB197))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36674, 36626])).
% 7.72/5.95 tff(36676,plain,
% 7.72/5.95 ((~(v200(constB197) <=> (v201(constB197) | v205(constB197)))) | (~v200(constB197)) | (v201(constB197) | v205(constB197))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36677,plain,
% 7.72/5.95 (~v200(constB197)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36676, 36675, 36381])).
% 7.72/5.95 tff(36678,plain,
% 7.72/5.95 ($false),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36677, 36379])).
% 7.72/5.95 tff(36679,plain,(~(constB197 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.72/5.95 tff(36680,assumption,(constB61 = VarCurr!0), introduced(assumption)).
% 7.72/5.95 tff(36681,plain,
% 7.72/5.95 (v200(constB61) <=> v200(VarCurr!0)),
% 7.72/5.95 inference(monotonicity,[status(thm)],[36680])).
% 7.72/5.95 tff(36682,plain,
% 7.72/5.95 (v200(VarCurr!0) <=> v200(constB61)),
% 7.72/5.95 inference(symmetry,[status(thm)],[36681])).
% 7.72/5.95 tff(36683,plain,
% 7.72/5.95 (v200(constB61)),
% 7.72/5.95 inference(modus_ponens,[status(thm)],[27, 36682])).
% 7.72/5.95 tff(36684,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB61) <=> (v201(constB61) | v205(constB61)))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36685,plain,
% 7.72/5.95 (v200(constB61) <=> (v201(constB61) | v205(constB61))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36684, 35])).
% 7.72/5.95 tff(36686,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB61) <=> (~((~v157(constB61)) | (~v202(constB61)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB61) <=> (~((~v157(constB61)) | (~v202(constB61))))))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36687,plain,
% 7.72/5.95 ((v201(constB61) <=> (~((~v202(constB61)) | (~v157(constB61))))) <=> (v201(constB61) <=> (~((~v157(constB61)) | (~v202(constB61)))))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36688,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB61) <=> (~((~v202(constB61)) | (~v157(constB61)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB61) <=> (~((~v157(constB61)) | (~v202(constB61))))))),
% 7.72/5.95 inference(monotonicity,[status(thm)],[36687])).
% 7.72/5.95 tff(36689,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB61) <=> (~((~v202(constB61)) | (~v157(constB61)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB61) <=> (~((~v157(constB61)) | (~v202(constB61))))))),
% 7.72/5.95 inference(transitivity,[status(thm)],[36688, 36686])).
% 7.72/5.95 tff(36690,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB61) <=> (~((~v202(constB61)) | (~v157(constB61)))))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36691,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB61) <=> (~((~v157(constB61)) | (~v202(constB61)))))),
% 7.72/5.95 inference(modus_ponens,[status(thm)],[36690, 36689])).
% 7.72/5.95 tff(36692,plain,
% 7.72/5.95 (v201(constB61) <=> (~((~v157(constB61)) | (~v202(constB61))))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36691, 47])).
% 7.72/5.95 tff(36693,plain,
% 7.72/5.95 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB61) <=> v192(constB61))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36694,plain,
% 7.72/5.95 (v157(constB61) <=> v192(constB61)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36693, 15407])).
% 7.72/5.95 tff(36695,plain,
% 7.72/5.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB60, constB61)) | (v192(constB61) <=> v190(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB60, constB61)) | (v192(constB61) <=> v190(constB60)))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36696,plain,
% 7.72/5.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB60, constB61)) | (v192(constB61) <=> v190(constB60)))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36697,plain,
% 7.72/5.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB60, constB61)) | (v192(constB61) <=> v190(constB60))),
% 7.72/5.95 inference(modus_ponens,[status(thm)],[36696, 36695])).
% 7.72/5.95 tff(36698,plain,
% 7.72/5.95 (v192(constB61) <=> v190(constB60)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36697, 2587, 15419])).
% 7.72/5.95 tff(36699,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB60) <=> (v193(constB60) | v196(constB60)))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36700,plain,
% 7.72/5.95 (v190(constB60) <=> (v193(constB60) | v196(constB60))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36699, 15430])).
% 7.72/5.95 tff(36701,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB60) <=> (~((~v157(constB60)) | (~v194(constB60)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB60) <=> (~((~v157(constB60)) | (~v194(constB60))))))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36702,plain,
% 7.72/5.95 ((v193(constB60) <=> (~((~v194(constB60)) | (~v157(constB60))))) <=> (v193(constB60) <=> (~((~v157(constB60)) | (~v194(constB60)))))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36703,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB60) <=> (~((~v194(constB60)) | (~v157(constB60)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB60) <=> (~((~v157(constB60)) | (~v194(constB60))))))),
% 7.72/5.95 inference(monotonicity,[status(thm)],[36702])).
% 7.72/5.95 tff(36704,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB60) <=> (~((~v194(constB60)) | (~v157(constB60)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB60) <=> (~((~v157(constB60)) | (~v194(constB60))))))),
% 7.72/5.95 inference(transitivity,[status(thm)],[36703, 36701])).
% 7.72/5.95 tff(36705,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB60) <=> (~((~v194(constB60)) | (~v157(constB60)))))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36706,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB60) <=> (~((~v157(constB60)) | (~v194(constB60)))))),
% 7.72/5.95 inference(modus_ponens,[status(thm)],[36705, 36704])).
% 7.72/5.95 tff(36707,plain,
% 7.72/5.95 (v193(constB60) <=> (~((~v157(constB60)) | (~v194(constB60))))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36706, 15442])).
% 7.72/5.95 tff(36708,plain,
% 7.72/5.95 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB60) <=> v192(constB60))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36709,plain,
% 7.72/5.95 (v157(constB60) <=> v192(constB60)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36708, 15407])).
% 7.72/5.95 tff(36710,plain,
% 7.72/5.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB59, constB60)) | (v192(constB60) <=> v190(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB59, constB60)) | (v192(constB60) <=> v190(constB59)))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36711,plain,
% 7.72/5.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB59, constB60)) | (v192(constB60) <=> v190(constB59)))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36712,plain,
% 7.72/5.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB59, constB60)) | (v192(constB60) <=> v190(constB59))),
% 7.72/5.95 inference(modus_ponens,[status(thm)],[36711, 36710])).
% 7.72/5.95 tff(36713,plain,
% 7.72/5.95 (v192(constB60) <=> v190(constB59)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36712, 2623, 15419])).
% 7.72/5.95 tff(36714,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB59) <=> (v193(constB59) | v196(constB59)))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36715,plain,
% 7.72/5.95 (v190(constB59) <=> (v193(constB59) | v196(constB59))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36714, 15430])).
% 7.72/5.95 tff(36716,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB59) <=> (~((~v159(constB59)) | (~v194(constB59)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB59) <=> (~((~v159(constB59)) | (~v194(constB59))))))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36717,plain,
% 7.72/5.95 ((v196(constB59) <=> (~((~v194(constB59)) | (~v159(constB59))))) <=> (v196(constB59) <=> (~((~v159(constB59)) | (~v194(constB59)))))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36718,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB59) <=> (~((~v194(constB59)) | (~v159(constB59)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB59) <=> (~((~v159(constB59)) | (~v194(constB59))))))),
% 7.72/5.95 inference(monotonicity,[status(thm)],[36717])).
% 7.72/5.95 tff(36719,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB59) <=> (~((~v194(constB59)) | (~v159(constB59)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB59) <=> (~((~v159(constB59)) | (~v194(constB59))))))),
% 7.72/5.95 inference(transitivity,[status(thm)],[36718, 36716])).
% 7.72/5.95 tff(36720,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB59) <=> (~((~v194(constB59)) | (~v159(constB59)))))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36721,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB59) <=> (~((~v159(constB59)) | (~v194(constB59)))))),
% 7.72/5.95 inference(modus_ponens,[status(thm)],[36720, 36719])).
% 7.72/5.95 tff(36722,plain,
% 7.72/5.95 (v196(constB59) <=> (~((~v159(constB59)) | (~v194(constB59))))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36721, 15467])).
% 7.72/5.95 tff(36723,plain,
% 7.72/5.95 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB59) <=> v182(constB59))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36724,plain,
% 7.72/5.95 (v159(constB59) <=> v182(constB59)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36723, 15113])).
% 7.72/5.95 tff(36725,plain,
% 7.72/5.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB58, constB59)) | (v182(constB59) <=> v180(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB58, constB59)) | (v182(constB59) <=> v180(constB58)))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36726,plain,
% 7.72/5.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB58, constB59)) | (v182(constB59) <=> v180(constB58)))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36727,plain,
% 7.72/5.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB58, constB59)) | (v182(constB59) <=> v180(constB58))),
% 7.72/5.95 inference(modus_ponens,[status(thm)],[36726, 36725])).
% 7.72/5.95 tff(36728,plain,
% 7.72/5.95 (v182(constB59) <=> v180(constB58)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36727, 2653, 15125])).
% 7.72/5.95 tff(36729,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB58) <=> (~((~v183(constB58)) | (~v184(constB58)))))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36730,plain,
% 7.72/5.95 (v180(constB58) <=> (~((~v183(constB58)) | (~v184(constB58))))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36729, 15139])).
% 7.72/5.95 tff(36731,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB58) <=> (~((~v185(constB58)) | (~v161(constB58)))))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36732,plain,
% 7.72/5.95 (v184(constB58) <=> (~((~v185(constB58)) | (~v161(constB58))))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36731, 15151])).
% 7.72/5.95 tff(36733,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36734,plain,
% 7.72/5.95 (v185(constB58) <=> (~((~v39(constB58)) | (~v9(constB58))))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36733, 93])).
% 7.72/5.95 tff(36735,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB58)) <=> v1(constB58))),
% 7.72/5.95 inference(quant_inst,[status(thm)],[])).
% 7.72/5.95 tff(36736,plain,
% 7.72/5.95 ((~v39(constB58)) <=> v1(constB58)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36735, 102])).
% 7.72/5.95 tff(36737,plain,
% 7.72/5.95 ((~((~v39(constB58)) <=> v1(constB58))) | (~v39(constB58)) | (~v1(constB58))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36738,plain,
% 7.72/5.95 ((~((~v39(constB58)) <=> v1(constB58))) | (~v39(constB58))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36737, 9309])).
% 7.72/5.95 tff(36739,plain,
% 7.72/5.95 (~v39(constB58)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36738, 36736])).
% 7.72/5.95 tff(36740,plain,
% 7.72/5.95 (((~v39(constB58)) | (~v9(constB58))) | v39(constB58)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36741,plain,
% 7.72/5.95 ((~v39(constB58)) | (~v9(constB58))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36740, 36739])).
% 7.72/5.95 tff(36742,plain,
% 7.72/5.95 ((~(v185(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))) | (~v185(constB58)) | (~((~v39(constB58)) | (~v9(constB58))))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36743,plain,
% 7.72/5.95 ((~(v185(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))) | (~v185(constB58))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36742, 36741])).
% 7.72/5.95 tff(36744,plain,
% 7.72/5.95 (~v185(constB58)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36743, 36734])).
% 7.72/5.95 tff(36745,plain,
% 7.72/5.95 (((~v185(constB58)) | (~v161(constB58))) | v185(constB58)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36746,plain,
% 7.72/5.95 ((~v185(constB58)) | (~v161(constB58))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36745, 36744])).
% 7.72/5.95 tff(36747,plain,
% 7.72/5.95 ((~(v184(constB58) <=> (~((~v185(constB58)) | (~v161(constB58)))))) | (~v184(constB58)) | (~((~v185(constB58)) | (~v161(constB58))))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36748,plain,
% 7.72/5.95 ((~(v184(constB58) <=> (~((~v185(constB58)) | (~v161(constB58)))))) | (~v184(constB58))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36747, 36746])).
% 7.72/5.95 tff(36749,plain,
% 7.72/5.95 (~v184(constB58)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36748, 36732])).
% 7.72/5.95 tff(36750,plain,
% 7.72/5.95 (((~v183(constB58)) | (~v184(constB58))) | v184(constB58)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36751,plain,
% 7.72/5.95 ((~v183(constB58)) | (~v184(constB58))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36750, 36749])).
% 7.72/5.95 tff(36752,plain,
% 7.72/5.95 ((~(v180(constB58) <=> (~((~v183(constB58)) | (~v184(constB58)))))) | (~v180(constB58)) | (~((~v183(constB58)) | (~v184(constB58))))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36753,plain,
% 7.72/5.95 (~v180(constB58)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36752, 36751, 36730])).
% 7.72/5.95 tff(36754,plain,
% 7.72/5.95 ((~(v182(constB59) <=> v180(constB58))) | (~v182(constB59)) | v180(constB58)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36755,plain,
% 7.72/5.95 (~v182(constB59)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36754, 36753, 36728])).
% 7.72/5.95 tff(36756,plain,
% 7.72/5.95 ((~(v159(constB59) <=> v182(constB59))) | (~v159(constB59)) | v182(constB59)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36757,plain,
% 7.72/5.95 (~v159(constB59)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36756, 36755, 36724])).
% 7.72/5.95 tff(36758,plain,
% 7.72/5.95 (((~v159(constB59)) | (~v194(constB59))) | v159(constB59)),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36759,plain,
% 7.72/5.95 ((~v159(constB59)) | (~v194(constB59))),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36758, 36757])).
% 7.72/5.95 tff(36760,plain,
% 7.72/5.95 ((~(v196(constB59) <=> (~((~v159(constB59)) | (~v194(constB59)))))) | (~v196(constB59)) | (~((~v159(constB59)) | (~v194(constB59))))),
% 7.72/5.95 inference(tautology,[status(thm)],[])).
% 7.72/5.95 tff(36761,plain,
% 7.72/5.95 (~v196(constB59)),
% 7.72/5.95 inference(unit_resolution,[status(thm)],[36760, 36759, 36722])).
% 7.72/5.95 tff(36762,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB59) <=> (~((~v157(constB59)) | (~v194(constB59)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB59) <=> (~((~v157(constB59)) | (~v194(constB59))))))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36763,plain,
% 7.72/5.95 ((v193(constB59) <=> (~((~v194(constB59)) | (~v157(constB59))))) <=> (v193(constB59) <=> (~((~v157(constB59)) | (~v194(constB59)))))),
% 7.72/5.95 inference(rewrite,[status(thm)],[])).
% 7.72/5.95 tff(36764,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB59) <=> (~((~v194(constB59)) | (~v157(constB59)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB59) <=> (~((~v157(constB59)) | (~v194(constB59))))))),
% 7.72/5.95 inference(monotonicity,[status(thm)],[36763])).
% 7.72/5.95 tff(36765,plain,
% 7.72/5.95 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB59) <=> (~((~v194(constB59)) | (~v157(constB59)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB59) <=> (~((~v157(constB59)) | (~v194(constB59))))))),
% 7.72/5.95 inference(transitivity,[status(thm)],[36764, 36762])).
% 7.72/5.95 tff(36766,plain,
% 7.72/5.95 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB59) <=> (~((~v194(constB59)) | (~v157(constB59)))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36767,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB59) <=> (~((~v157(constB59)) | (~v194(constB59)))))),
% 7.72/5.96 inference(modus_ponens,[status(thm)],[36766, 36765])).
% 7.72/5.96 tff(36768,plain,
% 7.72/5.96 (v193(constB59) <=> (~((~v157(constB59)) | (~v194(constB59))))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36767, 15442])).
% 7.72/5.96 tff(36769,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB59)) <=> v195(constB59))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36770,plain,
% 7.72/5.96 ((~v194(constB59)) <=> v195(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36769, 15527])).
% 7.72/5.96 tff(36771,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB59) <=> (v185(constB59) | v26(constB59)))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36772,plain,
% 7.72/5.96 (v195(constB59) <=> (v185(constB59) | v26(constB59))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36771, 15536])).
% 7.72/5.96 tff(36773,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB59) <=> (~((~v39(constB59)) | (~v9(constB59)))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36774,plain,
% 7.72/5.96 (v185(constB59) <=> (~((~v39(constB59)) | (~v9(constB59))))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36773, 93])).
% 7.72/5.96 tff(36775,plain,
% 7.72/5.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59)))),
% 7.72/5.96 inference(rewrite,[status(thm)],[])).
% 7.72/5.96 tff(36776,plain,
% 7.72/5.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59)))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36777,plain,
% 7.72/5.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59))),
% 7.72/5.96 inference(modus_ponens,[status(thm)],[36776, 36775])).
% 7.72/5.96 tff(36778,plain,
% 7.72/5.96 (v13(constB60) <=> v9(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36777, 2623, 15550])).
% 7.72/5.96 tff(36779,plain,
% 7.72/5.96 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB60) <=> v13(constB60))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36780,plain,
% 7.72/5.96 (v6(constB60) <=> v13(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36779, 15564])).
% 7.72/5.96 tff(36781,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB60)) <=> v6(constB60))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36782,plain,
% 7.72/5.96 ((~v21(constB60)) <=> v6(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36781, 15573])).
% 7.72/5.96 tff(36783,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB60) <=> (v20(constB60) | v21(constB60)))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36784,plain,
% 7.72/5.96 (v19(constB60) <=> (v20(constB60) | v21(constB60))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36783, 15582])).
% 7.72/5.96 tff(36785,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB60) <=> (~((~v19(constB60)) | (~v22(constB60)))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36786,plain,
% 7.72/5.96 (v18(constB60) <=> (~((~v19(constB60)) | (~v22(constB60))))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36785, 15594])).
% 7.72/5.96 tff(36787,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB60)) <=> v18(constB60))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36788,plain,
% 7.72/5.96 ((~v4(constB60)) <=> v18(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36787, 15603])).
% 7.72/5.96 tff(36789,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB60)),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36790,plain,
% 7.72/5.96 (v4(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36789, 15612])).
% 7.72/5.96 tff(36791,plain,
% 7.72/5.96 ((~((~v4(constB60)) <=> v18(constB60))) | (~v4(constB60)) | (~v18(constB60))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36792,plain,
% 7.72/5.96 (~v18(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36791, 36790, 36788])).
% 7.72/5.96 tff(36793,plain,
% 7.72/5.96 ((~(v18(constB60) <=> (~((~v19(constB60)) | (~v22(constB60)))))) | v18(constB60) | ((~v19(constB60)) | (~v22(constB60)))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36794,plain,
% 7.72/5.96 ((~v19(constB60)) | (~v22(constB60))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36793, 36792, 36786])).
% 7.72/5.96 tff(36795,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB60) <=> (v1(constB60) | v6(constB60)))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36796,plain,
% 7.72/5.96 (v22(constB60) <=> (v1(constB60) | v6(constB60))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36795, 15625])).
% 7.72/5.96 tff(36797,plain,
% 7.72/5.96 ((v1(constB60) | v6(constB60)) | (~v1(constB60))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36798,plain,
% 7.72/5.96 (v1(constB60) | v6(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36797, 9470])).
% 7.72/5.96 tff(36799,plain,
% 7.72/5.96 ((~(v22(constB60) <=> (v1(constB60) | v6(constB60)))) | v22(constB60) | (~(v1(constB60) | v6(constB60)))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36800,plain,
% 7.72/5.96 ((~(v22(constB60) <=> (v1(constB60) | v6(constB60)))) | v22(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36799, 36798])).
% 7.72/5.96 tff(36801,plain,
% 7.72/5.96 (v22(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36800, 36796])).
% 7.72/5.96 tff(36802,plain,
% 7.72/5.96 ((~((~v19(constB60)) | (~v22(constB60)))) | (~v19(constB60)) | (~v22(constB60))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36803,plain,
% 7.72/5.96 ((~((~v19(constB60)) | (~v22(constB60)))) | (~v19(constB60))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36802, 36801])).
% 7.72/5.96 tff(36804,plain,
% 7.72/5.96 (~v19(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36803, 36794])).
% 7.72/5.96 tff(36805,plain,
% 7.72/5.96 ((~(v19(constB60) <=> (v20(constB60) | v21(constB60)))) | v19(constB60) | (~(v20(constB60) | v21(constB60)))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36806,plain,
% 7.72/5.96 (~(v20(constB60) | v21(constB60))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36805, 36804, 36784])).
% 7.72/5.96 tff(36807,plain,
% 7.72/5.96 ((v20(constB60) | v21(constB60)) | (~v21(constB60))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36808,plain,
% 7.72/5.96 (~v21(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36807, 36806])).
% 7.72/5.96 tff(36809,plain,
% 7.72/5.96 ((~((~v21(constB60)) <=> v6(constB60))) | v21(constB60) | v6(constB60)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36810,plain,
% 7.72/5.96 (v6(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36809, 36808, 36782])).
% 7.72/5.96 tff(36811,plain,
% 7.72/5.96 ((~(v6(constB60) <=> v13(constB60))) | (~v6(constB60)) | v13(constB60)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36812,plain,
% 7.72/5.96 (v13(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36811, 36810, 36780])).
% 7.72/5.96 tff(36813,plain,
% 7.72/5.96 ((~(v13(constB60) <=> v9(constB59))) | (~v13(constB60)) | v9(constB59)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36814,plain,
% 7.72/5.96 (v9(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36813, 36812, 36778])).
% 7.72/5.96 tff(36815,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB59)) <=> v1(constB59))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36816,plain,
% 7.72/5.96 ((~v39(constB59)) <=> v1(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36815, 102])).
% 7.72/5.96 tff(36817,plain,
% 7.72/5.96 ((~((~v39(constB59)) <=> v1(constB59))) | v39(constB59) | v1(constB59)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36818,plain,
% 7.72/5.96 ((~((~v39(constB59)) <=> v1(constB59))) | v39(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36817, 2667])).
% 7.72/5.96 tff(36819,plain,
% 7.72/5.96 (v39(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36818, 36816])).
% 7.72/5.96 tff(36820,plain,
% 7.72/5.96 ((~((~v39(constB59)) | (~v9(constB59)))) | (~v39(constB59)) | (~v9(constB59))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36821,plain,
% 7.72/5.96 ((~((~v39(constB59)) | (~v9(constB59)))) | (~v9(constB59))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36820, 36819])).
% 7.72/5.96 tff(36822,plain,
% 7.72/5.96 (~((~v39(constB59)) | (~v9(constB59)))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36821, 36814])).
% 7.72/5.96 tff(36823,plain,
% 7.72/5.96 ((~(v185(constB59) <=> (~((~v39(constB59)) | (~v9(constB59)))))) | v185(constB59) | ((~v39(constB59)) | (~v9(constB59)))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36824,plain,
% 7.72/5.96 (v185(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36823, 36822, 36774])).
% 7.72/5.96 tff(36825,plain,
% 7.72/5.96 ((v185(constB59) | v26(constB59)) | (~v185(constB59))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36826,plain,
% 7.72/5.96 (v185(constB59) | v26(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36825, 36824])).
% 7.72/5.96 tff(36827,plain,
% 7.72/5.96 ((~(v195(constB59) <=> (v185(constB59) | v26(constB59)))) | v195(constB59) | (~(v185(constB59) | v26(constB59)))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36828,plain,
% 7.72/5.96 (v195(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36827, 36826, 36772])).
% 7.72/5.96 tff(36829,plain,
% 7.72/5.96 ((~((~v194(constB59)) <=> v195(constB59))) | (~v194(constB59)) | (~v195(constB59))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36830,plain,
% 7.72/5.96 (~v194(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36829, 36828, 36770])).
% 7.72/5.96 tff(36831,plain,
% 7.72/5.96 (((~v157(constB59)) | (~v194(constB59))) | v194(constB59)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36832,plain,
% 7.72/5.96 ((~v157(constB59)) | (~v194(constB59))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36831, 36830])).
% 7.72/5.96 tff(36833,plain,
% 7.72/5.96 ((~(v193(constB59) <=> (~((~v157(constB59)) | (~v194(constB59)))))) | (~v193(constB59)) | (~((~v157(constB59)) | (~v194(constB59))))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36834,plain,
% 7.72/5.96 (~v193(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36833, 36832, 36768])).
% 7.72/5.96 tff(36835,plain,
% 7.72/5.96 ((~(v193(constB59) | v196(constB59))) | v193(constB59) | v196(constB59)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36836,plain,
% 7.72/5.96 (~(v193(constB59) | v196(constB59))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36835, 36834, 36761])).
% 7.72/5.96 tff(36837,plain,
% 7.72/5.96 ((~(v190(constB59) <=> (v193(constB59) | v196(constB59)))) | (~v190(constB59)) | (v193(constB59) | v196(constB59))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36838,plain,
% 7.72/5.96 (~v190(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36837, 36836, 36715])).
% 7.72/5.96 tff(36839,plain,
% 7.72/5.96 ((~(v192(constB60) <=> v190(constB59))) | (~v192(constB60)) | v190(constB59)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36840,plain,
% 7.72/5.96 (~v192(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36839, 36838, 36713])).
% 7.72/5.96 tff(36841,plain,
% 7.72/5.96 ((~(v157(constB60) <=> v192(constB60))) | (~v157(constB60)) | v192(constB60)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36842,plain,
% 7.72/5.96 (~v157(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36841, 36840, 36709])).
% 7.72/5.96 tff(36843,plain,
% 7.72/5.96 (((~v157(constB60)) | (~v194(constB60))) | v157(constB60)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36844,plain,
% 7.72/5.96 ((~v157(constB60)) | (~v194(constB60))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36843, 36842])).
% 7.72/5.96 tff(36845,plain,
% 7.72/5.96 ((~(v193(constB60) <=> (~((~v157(constB60)) | (~v194(constB60)))))) | (~v193(constB60)) | (~((~v157(constB60)) | (~v194(constB60))))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36846,plain,
% 7.72/5.96 (~v193(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36845, 36844, 36707])).
% 7.72/5.96 tff(36847,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB60) <=> (~((~v159(constB60)) | (~v194(constB60)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB60) <=> (~((~v159(constB60)) | (~v194(constB60))))))),
% 7.72/5.96 inference(rewrite,[status(thm)],[])).
% 7.72/5.96 tff(36848,plain,
% 7.72/5.96 ((v196(constB60) <=> (~((~v194(constB60)) | (~v159(constB60))))) <=> (v196(constB60) <=> (~((~v159(constB60)) | (~v194(constB60)))))),
% 7.72/5.96 inference(rewrite,[status(thm)],[])).
% 7.72/5.96 tff(36849,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB60) <=> (~((~v194(constB60)) | (~v159(constB60)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB60) <=> (~((~v159(constB60)) | (~v194(constB60))))))),
% 7.72/5.96 inference(monotonicity,[status(thm)],[36848])).
% 7.72/5.96 tff(36850,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB60) <=> (~((~v194(constB60)) | (~v159(constB60)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB60) <=> (~((~v159(constB60)) | (~v194(constB60))))))),
% 7.72/5.96 inference(transitivity,[status(thm)],[36849, 36847])).
% 7.72/5.96 tff(36851,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB60) <=> (~((~v194(constB60)) | (~v159(constB60)))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36852,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB60) <=> (~((~v159(constB60)) | (~v194(constB60)))))),
% 7.72/5.96 inference(modus_ponens,[status(thm)],[36851, 36850])).
% 7.72/5.96 tff(36853,plain,
% 7.72/5.96 (v196(constB60) <=> (~((~v159(constB60)) | (~v194(constB60))))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36852, 15467])).
% 7.72/5.96 tff(36854,plain,
% 7.72/5.96 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB60) <=> v182(constB60))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36855,plain,
% 7.72/5.96 (v159(constB60) <=> v182(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36854, 15113])).
% 7.72/5.96 tff(36856,plain,
% 7.72/5.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB59, constB60)) | (v182(constB60) <=> v180(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB59, constB60)) | (v182(constB60) <=> v180(constB59)))),
% 7.72/5.96 inference(rewrite,[status(thm)],[])).
% 7.72/5.96 tff(36857,plain,
% 7.72/5.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB59, constB60)) | (v182(constB60) <=> v180(constB59)))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36858,plain,
% 7.72/5.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB59, constB60)) | (v182(constB60) <=> v180(constB59))),
% 7.72/5.96 inference(modus_ponens,[status(thm)],[36857, 36856])).
% 7.72/5.96 tff(36859,plain,
% 7.72/5.96 (v182(constB60) <=> v180(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36858, 2623, 15125])).
% 7.72/5.96 tff(36860,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB59) <=> (~((~v183(constB59)) | (~v184(constB59)))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36861,plain,
% 7.72/5.96 (v180(constB59) <=> (~((~v183(constB59)) | (~v184(constB59))))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36860, 15139])).
% 7.72/5.96 tff(36862,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB59) <=> (~((~v185(constB59)) | (~v161(constB59)))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36863,plain,
% 7.72/5.96 (v184(constB59) <=> (~((~v185(constB59)) | (~v161(constB59))))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36862, 15151])).
% 7.72/5.96 tff(36864,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB59) <=> v163(constB59))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36865,plain,
% 7.72/5.96 (v161(constB59) <=> v163(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36864, 15701])).
% 7.72/5.96 tff(36866,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB59) <=> (v145(constB59) | v167(constB59)))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36867,plain,
% 7.72/5.96 (v166(constB59) <=> (v145(constB59) | v167(constB59))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36866, 15713])).
% 7.72/5.96 tff(36868,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB59) <=> (v142(constB59) | v168(constB59)))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36869,plain,
% 7.72/5.96 (v167(constB59) <=> (v142(constB59) | v168(constB59))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36868, 15725])).
% 7.72/5.96 tff(36870,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB59) <=> (v143(constB59) | v144(constB59)))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36871,plain,
% 7.72/5.96 (v142(constB59) <=> (v143(constB59) | v144(constB59))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36870, 221])).
% 7.72/5.96 tff(36872,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB59) <=> (~((~v88(constB59, 1)) | v88(constB59, 2) | v88(constB59, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB59) <=> (~((~v88(constB59, 1)) | v88(constB59, 2) | v88(constB59, 0)))))),
% 7.72/5.96 inference(rewrite,[status(thm)],[])).
% 7.72/5.96 tff(36873,plain,
% 7.72/5.96 ((v143(constB59) <=> (~(v88(constB59, 0) | v88(constB59, 2) | (~v88(constB59, 1))))) <=> (v143(constB59) <=> (~((~v88(constB59, 1)) | v88(constB59, 2) | v88(constB59, 0))))),
% 7.72/5.96 inference(rewrite,[status(thm)],[])).
% 7.72/5.96 tff(36874,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB59) <=> (~(v88(constB59, 0) | v88(constB59, 2) | (~v88(constB59, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB59) <=> (~((~v88(constB59, 1)) | v88(constB59, 2) | v88(constB59, 0)))))),
% 7.72/5.96 inference(monotonicity,[status(thm)],[36873])).
% 7.72/5.96 tff(36875,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB59) <=> (~(v88(constB59, 0) | v88(constB59, 2) | (~v88(constB59, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB59) <=> (~((~v88(constB59, 1)) | v88(constB59, 2) | v88(constB59, 0)))))),
% 7.72/5.96 inference(transitivity,[status(thm)],[36874, 36872])).
% 7.72/5.96 tff(36876,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB59) <=> (~(v88(constB59, 0) | v88(constB59, 2) | (~v88(constB59, 1)))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36877,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB59) <=> (~((~v88(constB59, 1)) | v88(constB59, 2) | v88(constB59, 0))))),
% 7.72/5.96 inference(modus_ponens,[status(thm)],[36876, 36875])).
% 7.72/5.96 tff(36878,plain,
% 7.72/5.96 (v143(constB59) <=> (~((~v88(constB59, 1)) | v88(constB59, 2) | v88(constB59, 0)))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36877, 236])).
% 7.72/5.96 tff(36879,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB59, 1)) <=> v90(constB59, 1)) | ((~v88(constB59, 2)) <=> v90(constB59, 2)) | ((~v88(constB59, 0)) <=> v90(constB59, 0))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36880,plain,
% 7.72/5.96 (~(((~v88(constB59, 1)) <=> v90(constB59, 1)) | ((~v88(constB59, 2)) <=> v90(constB59, 2)) | ((~v88(constB59, 0)) <=> v90(constB59, 0)))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36879, 256])).
% 7.72/5.96 tff(36881,plain,
% 7.72/5.96 ((((~v88(constB59, 1)) <=> v90(constB59, 1)) | ((~v88(constB59, 2)) <=> v90(constB59, 2)) | ((~v88(constB59, 0)) <=> v90(constB59, 0))) | (~((~v88(constB59, 2)) <=> v90(constB59, 2)))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36882,plain,
% 7.72/5.96 (~((~v88(constB59, 2)) <=> v90(constB59, 2))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36881, 36880])).
% 7.72/5.96 tff(36883,plain,
% 7.72/5.96 (((~v88(constB59, 2)) <=> v90(constB59, 2)) | (~v88(constB59, 2)) | v90(constB59, 2)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36884,plain,
% 7.72/5.96 (~v88(constB59, 2)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36883, 9392, 36882])).
% 7.72/5.96 tff(36885,plain,
% 7.72/5.96 ((((~v88(constB59, 1)) <=> v90(constB59, 1)) | ((~v88(constB59, 2)) <=> v90(constB59, 2)) | ((~v88(constB59, 0)) <=> v90(constB59, 0))) | (~((~v88(constB59, 0)) <=> v90(constB59, 0)))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36886,plain,
% 7.72/5.96 (~((~v88(constB59, 0)) <=> v90(constB59, 0))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36885, 36880])).
% 7.72/5.96 tff(36887,plain,
% 7.72/5.96 (((~v88(constB59, 0)) <=> v90(constB59, 0)) | (~v88(constB59, 0)) | v90(constB59, 0)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36888,plain,
% 7.72/5.96 (~v88(constB59, 0)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36887, 9410, 36886])).
% 7.72/5.96 tff(36889,plain,
% 7.72/5.96 ((((~v88(constB59, 1)) <=> v90(constB59, 1)) | ((~v88(constB59, 2)) <=> v90(constB59, 2)) | ((~v88(constB59, 0)) <=> v90(constB59, 0))) | (~((~v88(constB59, 1)) <=> v90(constB59, 1)))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36890,plain,
% 7.72/5.96 (~((~v88(constB59, 1)) <=> v90(constB59, 1))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36889, 36880])).
% 7.72/5.96 tff(36891,plain,
% 7.72/5.96 (((~v88(constB59, 1)) <=> v90(constB59, 1)) | v88(constB59, 1) | (~v90(constB59, 1))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36892,plain,
% 7.72/5.96 (v88(constB59, 1)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36891, 9428, 36890])).
% 7.72/5.96 tff(36893,plain,
% 7.72/5.96 ((~((~v88(constB59, 1)) | v88(constB59, 2) | v88(constB59, 0))) | (~v88(constB59, 1)) | v88(constB59, 2) | v88(constB59, 0)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36894,plain,
% 7.72/5.96 (~((~v88(constB59, 1)) | v88(constB59, 2) | v88(constB59, 0))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36893, 36892, 36888, 36884])).
% 7.72/5.96 tff(36895,plain,
% 7.72/5.96 ((~(v143(constB59) <=> (~((~v88(constB59, 1)) | v88(constB59, 2) | v88(constB59, 0))))) | v143(constB59) | ((~v88(constB59, 1)) | v88(constB59, 2) | v88(constB59, 0))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36896,plain,
% 7.72/5.96 (v143(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36895, 36894, 36878])).
% 7.72/5.96 tff(36897,plain,
% 7.72/5.96 ((v143(constB59) | v144(constB59)) | (~v143(constB59))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36898,plain,
% 7.72/5.96 (v143(constB59) | v144(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36897, 36896])).
% 7.72/5.96 tff(36899,plain,
% 7.72/5.96 ((~(v142(constB59) <=> (v143(constB59) | v144(constB59)))) | v142(constB59) | (~(v143(constB59) | v144(constB59)))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36900,plain,
% 7.72/5.96 (v142(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36899, 36898, 36871])).
% 7.72/5.96 tff(36901,plain,
% 7.72/5.96 ((v142(constB59) | v168(constB59)) | (~v142(constB59))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36902,plain,
% 7.72/5.96 (v142(constB59) | v168(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36901, 36900])).
% 7.72/5.96 tff(36903,plain,
% 7.72/5.96 ((~(v167(constB59) <=> (v142(constB59) | v168(constB59)))) | v167(constB59) | (~(v142(constB59) | v168(constB59)))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36904,plain,
% 7.72/5.96 ((~(v167(constB59) <=> (v142(constB59) | v168(constB59)))) | v167(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36903, 36902])).
% 7.72/5.96 tff(36905,plain,
% 7.72/5.96 (v167(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36904, 36869])).
% 7.72/5.96 tff(36906,plain,
% 7.72/5.96 ((v145(constB59) | v167(constB59)) | (~v167(constB59))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36907,plain,
% 7.72/5.96 (v145(constB59) | v167(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36906, 36905])).
% 7.72/5.96 tff(36908,plain,
% 7.72/5.96 ((~(v166(constB59) <=> (v145(constB59) | v167(constB59)))) | v166(constB59) | (~(v145(constB59) | v167(constB59)))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36909,plain,
% 7.72/5.96 (v166(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36908, 36907, 36867])).
% 7.72/5.96 tff(36910,plain,
% 7.72/5.96 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB59)) | (v163(constB59) <=> v170(constB59)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB59)) | (v163(constB59) <=> v170(constB59)))),
% 7.72/5.96 inference(rewrite,[status(thm)],[])).
% 7.72/5.96 tff(36911,plain,
% 7.72/5.96 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB59)) | (v163(constB59) <=> v170(constB59)))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36912,plain,
% 7.72/5.96 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB59)) | (v163(constB59) <=> v170(constB59))),
% 7.72/5.96 inference(modus_ponens,[status(thm)],[36911, 36910])).
% 7.72/5.96 tff(36913,plain,
% 7.72/5.96 ((~v166(constB59)) | (v163(constB59) <=> v170(constB59))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36912, 15777])).
% 7.72/5.96 tff(36914,plain,
% 7.72/5.96 (v163(constB59) <=> v170(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36913, 36909])).
% 7.72/5.96 tff(36915,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB59) <=> (~(v88(constB59, 1) | v88(constB59, 2) | (~v88(constB59, 0)))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36916,plain,
% 7.72/5.96 (v140(constB59) <=> (~(v88(constB59, 1) | v88(constB59, 2) | (~v88(constB59, 0))))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36915, 15814])).
% 7.72/5.96 tff(36917,plain,
% 7.72/5.96 ((v88(constB59, 1) | v88(constB59, 2) | (~v88(constB59, 0))) | v88(constB59, 0)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36918,plain,
% 7.72/5.96 (v88(constB59, 1) | v88(constB59, 2) | (~v88(constB59, 0))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36917, 36888])).
% 7.72/5.96 tff(36919,plain,
% 7.72/5.96 ((~(v140(constB59) <=> (~(v88(constB59, 1) | v88(constB59, 2) | (~v88(constB59, 0)))))) | (~v140(constB59)) | (~(v88(constB59, 1) | v88(constB59, 2) | (~v88(constB59, 0))))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36920,plain,
% 7.72/5.96 (~v140(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36919, 36918, 36916])).
% 7.72/5.96 tff(36921,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB59) <=> (~(v88(constB59, 0) | v88(constB59, 1) | v88(constB59, 2))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36922,plain,
% 7.72/5.96 (v139(constB59) <=> (~(v88(constB59, 0) | v88(constB59, 1) | v88(constB59, 2)))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36921, 15795])).
% 7.72/5.96 tff(36923,plain,
% 7.72/5.96 ((v88(constB59, 0) | v88(constB59, 1) | v88(constB59, 2)) | (~v88(constB59, 1))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36924,plain,
% 7.72/5.96 (v88(constB59, 0) | v88(constB59, 1) | v88(constB59, 2)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36923, 36892])).
% 7.72/5.96 tff(36925,plain,
% 7.72/5.96 ((~(v139(constB59) <=> (~(v88(constB59, 0) | v88(constB59, 1) | v88(constB59, 2))))) | (~v139(constB59)) | (~(v88(constB59, 0) | v88(constB59, 1) | v88(constB59, 2)))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36926,plain,
% 7.72/5.96 (~v139(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36925, 36924, 36922])).
% 7.72/5.96 tff(36927,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB59) | v139(constB59) | (~v170(constB59)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB59) | v139(constB59) | (~v170(constB59)))),
% 7.72/5.96 inference(rewrite,[status(thm)],[])).
% 7.72/5.96 tff(36928,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB59) | v139(constB59) | (~v170(constB59)))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36929,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB59) | v139(constB59) | (~v170(constB59))),
% 7.72/5.96 inference(modus_ponens,[status(thm)],[36928, 36927])).
% 7.72/5.96 tff(36930,plain,
% 7.72/5.96 (v140(constB59) | v139(constB59) | (~v170(constB59))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36929, 15833])).
% 7.72/5.96 tff(36931,plain,
% 7.72/5.96 (~v170(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36930, 36926, 36920])).
% 7.72/5.96 tff(36932,plain,
% 7.72/5.96 ((~(v163(constB59) <=> v170(constB59))) | (~v163(constB59)) | v170(constB59)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36933,plain,
% 7.72/5.96 ((~(v163(constB59) <=> v170(constB59))) | (~v163(constB59))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36932, 36931])).
% 7.72/5.96 tff(36934,plain,
% 7.72/5.96 (~v163(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36933, 36914])).
% 7.72/5.96 tff(36935,plain,
% 7.72/5.96 ((~(v161(constB59) <=> v163(constB59))) | (~v161(constB59)) | v163(constB59)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36936,plain,
% 7.72/5.96 ((~(v161(constB59) <=> v163(constB59))) | (~v161(constB59))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36935, 36934])).
% 7.72/5.96 tff(36937,plain,
% 7.72/5.96 (~v161(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36936, 36865])).
% 7.72/5.96 tff(36938,plain,
% 7.72/5.96 (((~v185(constB59)) | (~v161(constB59))) | v161(constB59)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36939,plain,
% 7.72/5.96 ((~v185(constB59)) | (~v161(constB59))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36938, 36937])).
% 7.72/5.96 tff(36940,plain,
% 7.72/5.96 ((~(v184(constB59) <=> (~((~v185(constB59)) | (~v161(constB59)))))) | (~v184(constB59)) | (~((~v185(constB59)) | (~v161(constB59))))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36941,plain,
% 7.72/5.96 (~v184(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36940, 36939, 36863])).
% 7.72/5.96 tff(36942,plain,
% 7.72/5.96 (((~v183(constB59)) | (~v184(constB59))) | v184(constB59)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36943,plain,
% 7.72/5.96 ((~v183(constB59)) | (~v184(constB59))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36942, 36941])).
% 7.72/5.96 tff(36944,plain,
% 7.72/5.96 ((~(v180(constB59) <=> (~((~v183(constB59)) | (~v184(constB59)))))) | (~v180(constB59)) | (~((~v183(constB59)) | (~v184(constB59))))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36945,plain,
% 7.72/5.96 (~v180(constB59)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36944, 36943, 36861])).
% 7.72/5.96 tff(36946,plain,
% 7.72/5.96 ((~(v182(constB60) <=> v180(constB59))) | (~v182(constB60)) | v180(constB59)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36947,plain,
% 7.72/5.96 (~v182(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36946, 36945, 36859])).
% 7.72/5.96 tff(36948,plain,
% 7.72/5.96 ((~(v159(constB60) <=> v182(constB60))) | (~v159(constB60)) | v182(constB60)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36949,plain,
% 7.72/5.96 (~v159(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36948, 36947, 36855])).
% 7.72/5.96 tff(36950,plain,
% 7.72/5.96 (((~v159(constB60)) | (~v194(constB60))) | v159(constB60)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36951,plain,
% 7.72/5.96 ((~v159(constB60)) | (~v194(constB60))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36950, 36949])).
% 7.72/5.96 tff(36952,plain,
% 7.72/5.96 ((~(v196(constB60) <=> (~((~v159(constB60)) | (~v194(constB60)))))) | (~v196(constB60)) | (~((~v159(constB60)) | (~v194(constB60))))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36953,plain,
% 7.72/5.96 (~v196(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36952, 36951, 36853])).
% 7.72/5.96 tff(36954,plain,
% 7.72/5.96 ((~(v193(constB60) | v196(constB60))) | v193(constB60) | v196(constB60)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36955,plain,
% 7.72/5.96 (~(v193(constB60) | v196(constB60))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36954, 36953, 36846])).
% 7.72/5.96 tff(36956,plain,
% 7.72/5.96 ((~(v190(constB60) <=> (v193(constB60) | v196(constB60)))) | (~v190(constB60)) | (v193(constB60) | v196(constB60))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36957,plain,
% 7.72/5.96 (~v190(constB60)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36956, 36955, 36700])).
% 7.72/5.96 tff(36958,plain,
% 7.72/5.96 ((~(v192(constB61) <=> v190(constB60))) | (~v192(constB61)) | v190(constB60)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36959,plain,
% 7.72/5.96 (~v192(constB61)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36958, 36957, 36698])).
% 7.72/5.96 tff(36960,plain,
% 7.72/5.96 ((~(v157(constB61) <=> v192(constB61))) | (~v157(constB61)) | v192(constB61)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36961,plain,
% 7.72/5.96 (~v157(constB61)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36960, 36959, 36694])).
% 7.72/5.96 tff(36962,plain,
% 7.72/5.96 (((~v157(constB61)) | (~v202(constB61))) | v157(constB61)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36963,plain,
% 7.72/5.96 ((~v157(constB61)) | (~v202(constB61))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36962, 36961])).
% 7.72/5.96 tff(36964,plain,
% 7.72/5.96 ((~(v201(constB61) <=> (~((~v157(constB61)) | (~v202(constB61)))))) | (~v201(constB61)) | (~((~v157(constB61)) | (~v202(constB61))))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36965,plain,
% 7.72/5.96 (~v201(constB61)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36964, 36963, 36692])).
% 7.72/5.96 tff(36966,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB61) <=> (~((~v159(constB61)) | (~v202(constB61)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB61) <=> (~((~v159(constB61)) | (~v202(constB61))))))),
% 7.72/5.96 inference(rewrite,[status(thm)],[])).
% 7.72/5.96 tff(36967,plain,
% 7.72/5.96 ((v205(constB61) <=> (~((~v202(constB61)) | (~v159(constB61))))) <=> (v205(constB61) <=> (~((~v159(constB61)) | (~v202(constB61)))))),
% 7.72/5.96 inference(rewrite,[status(thm)],[])).
% 7.72/5.96 tff(36968,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB61) <=> (~((~v202(constB61)) | (~v159(constB61)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB61) <=> (~((~v159(constB61)) | (~v202(constB61))))))),
% 7.72/5.96 inference(monotonicity,[status(thm)],[36967])).
% 7.72/5.96 tff(36969,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB61) <=> (~((~v202(constB61)) | (~v159(constB61)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB61) <=> (~((~v159(constB61)) | (~v202(constB61))))))),
% 7.72/5.96 inference(transitivity,[status(thm)],[36968, 36966])).
% 7.72/5.96 tff(36970,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB61) <=> (~((~v202(constB61)) | (~v159(constB61)))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36971,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB61) <=> (~((~v159(constB61)) | (~v202(constB61)))))),
% 7.72/5.96 inference(modus_ponens,[status(thm)],[36970, 36969])).
% 7.72/5.96 tff(36972,plain,
% 7.72/5.96 (v205(constB61) <=> (~((~v159(constB61)) | (~v202(constB61))))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36971, 138])).
% 7.72/5.96 tff(36973,plain,
% 7.72/5.96 (((~v159(constB61)) | (~v202(constB61))) | v159(constB61)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36974,plain,
% 7.72/5.96 ((~v159(constB61)) | (~v202(constB61))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36973, 27328])).
% 7.72/5.96 tff(36975,plain,
% 7.72/5.96 ((~(v205(constB61) <=> (~((~v159(constB61)) | (~v202(constB61)))))) | (~v205(constB61)) | (~((~v159(constB61)) | (~v202(constB61))))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36976,plain,
% 7.72/5.96 (~v205(constB61)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36975, 36974, 36972])).
% 7.72/5.96 tff(36977,plain,
% 7.72/5.96 ((~(v201(constB61) | v205(constB61))) | v201(constB61) | v205(constB61)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36978,plain,
% 7.72/5.96 ((~(v201(constB61) | v205(constB61))) | v201(constB61)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36977, 36976])).
% 7.72/5.96 tff(36979,plain,
% 7.72/5.96 (~(v201(constB61) | v205(constB61))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36978, 36965])).
% 7.72/5.96 tff(36980,plain,
% 7.72/5.96 ((~(v200(constB61) <=> (v201(constB61) | v205(constB61)))) | (~v200(constB61)) | (v201(constB61) | v205(constB61))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(36981,plain,
% 7.72/5.96 (~v200(constB61)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36980, 36979, 36685])).
% 7.72/5.96 tff(36982,plain,
% 7.72/5.96 ($false),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36981, 36683])).
% 7.72/5.96 tff(36983,plain,(~(constB61 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.72/5.96 tff(36984,assumption,(constB16 = VarCurr!0), introduced(assumption)).
% 7.72/5.96 tff(36985,plain,
% 7.72/5.96 (v200(constB16) <=> v200(VarCurr!0)),
% 7.72/5.96 inference(monotonicity,[status(thm)],[36984])).
% 7.72/5.96 tff(36986,plain,
% 7.72/5.96 (v200(VarCurr!0) <=> v200(constB16)),
% 7.72/5.96 inference(symmetry,[status(thm)],[36985])).
% 7.72/5.96 tff(36987,plain,
% 7.72/5.96 (v200(constB16)),
% 7.72/5.96 inference(modus_ponens,[status(thm)],[27, 36986])).
% 7.72/5.96 tff(36988,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB16) <=> (v201(constB16) | v205(constB16)))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36989,plain,
% 7.72/5.96 (v200(constB16) <=> (v201(constB16) | v205(constB16))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36988, 35])).
% 7.72/5.96 tff(36990,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB16) <=> (~((~v157(constB16)) | (~v202(constB16)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB16) <=> (~((~v157(constB16)) | (~v202(constB16))))))),
% 7.72/5.96 inference(rewrite,[status(thm)],[])).
% 7.72/5.96 tff(36991,plain,
% 7.72/5.96 ((v201(constB16) <=> (~((~v202(constB16)) | (~v157(constB16))))) <=> (v201(constB16) <=> (~((~v157(constB16)) | (~v202(constB16)))))),
% 7.72/5.96 inference(rewrite,[status(thm)],[])).
% 7.72/5.96 tff(36992,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB16) <=> (~((~v202(constB16)) | (~v157(constB16)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB16) <=> (~((~v157(constB16)) | (~v202(constB16))))))),
% 7.72/5.96 inference(monotonicity,[status(thm)],[36991])).
% 7.72/5.96 tff(36993,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB16) <=> (~((~v202(constB16)) | (~v157(constB16)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB16) <=> (~((~v157(constB16)) | (~v202(constB16))))))),
% 7.72/5.96 inference(transitivity,[status(thm)],[36992, 36990])).
% 7.72/5.96 tff(36994,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB16) <=> (~((~v202(constB16)) | (~v157(constB16)))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36995,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB16) <=> (~((~v157(constB16)) | (~v202(constB16)))))),
% 7.72/5.96 inference(modus_ponens,[status(thm)],[36994, 36993])).
% 7.72/5.96 tff(36996,plain,
% 7.72/5.96 (v201(constB16) <=> (~((~v157(constB16)) | (~v202(constB16))))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36995, 47])).
% 7.72/5.96 tff(36997,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB16) <=> (~((~v183(constB16)) | (~v203(constB16)))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(36998,plain,
% 7.72/5.96 (v202(constB16) <=> (~((~v183(constB16)) | (~v203(constB16))))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[36997, 64])).
% 7.72/5.96 tff(36999,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB16) <=> (~((~v185(constB16)) | (~v204(constB16)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB16) <=> (~((~v185(constB16)) | (~v204(constB16))))))),
% 7.72/5.96 inference(rewrite,[status(thm)],[])).
% 7.72/5.96 tff(37000,plain,
% 7.72/5.96 ((v203(constB16) <=> (~((~v204(constB16)) | (~v185(constB16))))) <=> (v203(constB16) <=> (~((~v185(constB16)) | (~v204(constB16)))))),
% 7.72/5.96 inference(rewrite,[status(thm)],[])).
% 7.72/5.96 tff(37001,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB16) <=> (~((~v204(constB16)) | (~v185(constB16)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB16) <=> (~((~v185(constB16)) | (~v204(constB16))))))),
% 7.72/5.96 inference(monotonicity,[status(thm)],[37000])).
% 7.72/5.96 tff(37002,plain,
% 7.72/5.96 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB16) <=> (~((~v204(constB16)) | (~v185(constB16)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB16) <=> (~((~v185(constB16)) | (~v204(constB16))))))),
% 7.72/5.96 inference(transitivity,[status(thm)],[37001, 36999])).
% 7.72/5.96 tff(37003,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB16) <=> (~((~v204(constB16)) | (~v185(constB16)))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(37004,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB16) <=> (~((~v185(constB16)) | (~v204(constB16)))))),
% 7.72/5.96 inference(modus_ponens,[status(thm)],[37003, 37002])).
% 7.72/5.96 tff(37005,plain,
% 7.72/5.96 (v203(constB16) <=> (~((~v185(constB16)) | (~v204(constB16))))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[37004, 76])).
% 7.72/5.96 tff(37006,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB16) <=> (~((~v39(constB16)) | (~v9(constB16)))))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(37007,plain,
% 7.72/5.96 (v185(constB16) <=> (~((~v39(constB16)) | (~v9(constB16))))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[37006, 93])).
% 7.72/5.96 tff(37008,plain,
% 7.72/5.96 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB16)) <=> v1(constB16))),
% 7.72/5.96 inference(quant_inst,[status(thm)],[])).
% 7.72/5.96 tff(37009,plain,
% 7.72/5.96 ((~v39(constB16)) <=> v1(constB16)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[37008, 102])).
% 7.72/5.96 tff(37010,plain,
% 7.72/5.96 ((~((~v39(constB16)) <=> v1(constB16))) | (~v39(constB16)) | (~v1(constB16))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(37011,plain,
% 7.72/5.96 ((~((~v39(constB16)) <=> v1(constB16))) | (~v39(constB16))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[37010, 5974])).
% 7.72/5.96 tff(37012,plain,
% 7.72/5.96 (~v39(constB16)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[37011, 37009])).
% 7.72/5.96 tff(37013,plain,
% 7.72/5.96 (((~v39(constB16)) | (~v9(constB16))) | v39(constB16)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(37014,plain,
% 7.72/5.96 ((~v39(constB16)) | (~v9(constB16))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[37013, 37012])).
% 7.72/5.96 tff(37015,plain,
% 7.72/5.96 ((~(v185(constB16) <=> (~((~v39(constB16)) | (~v9(constB16)))))) | (~v185(constB16)) | (~((~v39(constB16)) | (~v9(constB16))))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(37016,plain,
% 7.72/5.96 ((~(v185(constB16) <=> (~((~v39(constB16)) | (~v9(constB16)))))) | (~v185(constB16))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[37015, 37014])).
% 7.72/5.96 tff(37017,plain,
% 7.72/5.96 (~v185(constB16)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[37016, 37007])).
% 7.72/5.96 tff(37018,plain,
% 7.72/5.96 (((~v185(constB16)) | (~v204(constB16))) | v185(constB16)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(37019,plain,
% 7.72/5.96 ((~v185(constB16)) | (~v204(constB16))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[37018, 37017])).
% 7.72/5.96 tff(37020,plain,
% 7.72/5.96 ((~(v203(constB16) <=> (~((~v185(constB16)) | (~v204(constB16)))))) | (~v203(constB16)) | (~((~v185(constB16)) | (~v204(constB16))))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(37021,plain,
% 7.72/5.96 ((~(v203(constB16) <=> (~((~v185(constB16)) | (~v204(constB16)))))) | (~v203(constB16))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[37020, 37019])).
% 7.72/5.96 tff(37022,plain,
% 7.72/5.96 (~v203(constB16)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[37021, 37005])).
% 7.72/5.96 tff(37023,plain,
% 7.72/5.96 (((~v183(constB16)) | (~v203(constB16))) | v203(constB16)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(37024,plain,
% 7.72/5.96 ((~v183(constB16)) | (~v203(constB16))),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[37023, 37022])).
% 7.72/5.96 tff(37025,plain,
% 7.72/5.96 ((~(v202(constB16) <=> (~((~v183(constB16)) | (~v203(constB16)))))) | (~v202(constB16)) | (~((~v183(constB16)) | (~v203(constB16))))),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(37026,plain,
% 7.72/5.96 (~v202(constB16)),
% 7.72/5.96 inference(unit_resolution,[status(thm)],[37025, 37024, 36998])).
% 7.72/5.96 tff(37027,plain,
% 7.72/5.96 (((~v157(constB16)) | (~v202(constB16))) | v202(constB16)),
% 7.72/5.96 inference(tautology,[status(thm)],[])).
% 7.72/5.96 tff(37028,plain,
% 7.72/5.96 ((~v157(constB16)) | (~v202(constB16))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37027, 37026])).
% 7.78/5.97 tff(37029,plain,
% 7.78/5.97 ((~(v201(constB16) <=> (~((~v157(constB16)) | (~v202(constB16)))))) | (~v201(constB16)) | (~((~v157(constB16)) | (~v202(constB16))))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37030,plain,
% 7.78/5.97 (~v201(constB16)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37029, 37028, 36996])).
% 7.78/5.97 tff(37031,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB16) <=> (~((~v159(constB16)) | (~v202(constB16)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB16) <=> (~((~v159(constB16)) | (~v202(constB16))))))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37032,plain,
% 7.78/5.97 ((v205(constB16) <=> (~((~v202(constB16)) | (~v159(constB16))))) <=> (v205(constB16) <=> (~((~v159(constB16)) | (~v202(constB16)))))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37033,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB16) <=> (~((~v202(constB16)) | (~v159(constB16)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB16) <=> (~((~v159(constB16)) | (~v202(constB16))))))),
% 7.78/5.97 inference(monotonicity,[status(thm)],[37032])).
% 7.78/5.97 tff(37034,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB16) <=> (~((~v202(constB16)) | (~v159(constB16)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB16) <=> (~((~v159(constB16)) | (~v202(constB16))))))),
% 7.78/5.97 inference(transitivity,[status(thm)],[37033, 37031])).
% 7.78/5.97 tff(37035,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB16) <=> (~((~v202(constB16)) | (~v159(constB16)))))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37036,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB16) <=> (~((~v159(constB16)) | (~v202(constB16)))))),
% 7.78/5.97 inference(modus_ponens,[status(thm)],[37035, 37034])).
% 7.78/5.97 tff(37037,plain,
% 7.78/5.97 (v205(constB16) <=> (~((~v159(constB16)) | (~v202(constB16))))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37036, 138])).
% 7.78/5.97 tff(37038,plain,
% 7.78/5.97 (((~v159(constB16)) | (~v202(constB16))) | v202(constB16)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37039,plain,
% 7.78/5.97 ((~v159(constB16)) | (~v202(constB16))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37038, 37026])).
% 7.78/5.97 tff(37040,plain,
% 7.78/5.97 ((~(v205(constB16) <=> (~((~v159(constB16)) | (~v202(constB16)))))) | (~v205(constB16)) | (~((~v159(constB16)) | (~v202(constB16))))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37041,plain,
% 7.78/5.97 (~v205(constB16)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37040, 37039, 37037])).
% 7.78/5.97 tff(37042,plain,
% 7.78/5.97 ((~(v201(constB16) | v205(constB16))) | v201(constB16) | v205(constB16)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37043,plain,
% 7.78/5.97 (~(v201(constB16) | v205(constB16))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37042, 37041, 37030])).
% 7.78/5.97 tff(37044,plain,
% 7.78/5.97 ((~(v200(constB16) <=> (v201(constB16) | v205(constB16)))) | (~v200(constB16)) | (v201(constB16) | v205(constB16))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37045,plain,
% 7.78/5.97 ((~(v200(constB16) <=> (v201(constB16) | v205(constB16)))) | (~v200(constB16))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37044, 37043])).
% 7.78/5.97 tff(37046,plain,
% 7.78/5.97 (~v200(constB16)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37045, 36989])).
% 7.78/5.97 tff(37047,plain,
% 7.78/5.97 ($false),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37046, 36987])).
% 7.78/5.97 tff(37048,plain,(~(constB16 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/5.97 tff(37049,assumption,(constB71 = VarCurr!0), introduced(assumption)).
% 7.78/5.97 tff(37050,plain,
% 7.78/5.97 (v200(constB71) <=> v200(VarCurr!0)),
% 7.78/5.97 inference(monotonicity,[status(thm)],[37049])).
% 7.78/5.97 tff(37051,plain,
% 7.78/5.97 (v200(VarCurr!0) <=> v200(constB71)),
% 7.78/5.97 inference(symmetry,[status(thm)],[37050])).
% 7.78/5.97 tff(37052,plain,
% 7.78/5.97 (v200(constB71)),
% 7.78/5.97 inference(modus_ponens,[status(thm)],[27, 37051])).
% 7.78/5.97 tff(37053,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB71) <=> (v201(constB71) | v205(constB71)))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37054,plain,
% 7.78/5.97 (v200(constB71) <=> (v201(constB71) | v205(constB71))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37053, 35])).
% 7.78/5.97 tff(37055,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB71) <=> (~((~v157(constB71)) | (~v202(constB71)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB71) <=> (~((~v157(constB71)) | (~v202(constB71))))))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37056,plain,
% 7.78/5.97 ((v201(constB71) <=> (~((~v202(constB71)) | (~v157(constB71))))) <=> (v201(constB71) <=> (~((~v157(constB71)) | (~v202(constB71)))))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37057,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB71) <=> (~((~v202(constB71)) | (~v157(constB71)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB71) <=> (~((~v157(constB71)) | (~v202(constB71))))))),
% 7.78/5.97 inference(monotonicity,[status(thm)],[37056])).
% 7.78/5.97 tff(37058,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB71) <=> (~((~v202(constB71)) | (~v157(constB71)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB71) <=> (~((~v157(constB71)) | (~v202(constB71))))))),
% 7.78/5.97 inference(transitivity,[status(thm)],[37057, 37055])).
% 7.78/5.97 tff(37059,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB71) <=> (~((~v202(constB71)) | (~v157(constB71)))))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37060,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB71) <=> (~((~v157(constB71)) | (~v202(constB71)))))),
% 7.78/5.97 inference(modus_ponens,[status(thm)],[37059, 37058])).
% 7.78/5.97 tff(37061,plain,
% 7.78/5.97 (v201(constB71) <=> (~((~v157(constB71)) | (~v202(constB71))))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37060, 47])).
% 7.78/5.97 tff(37062,plain,
% 7.78/5.97 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB71) <=> v192(constB71))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37063,plain,
% 7.78/5.97 (v157(constB71) <=> v192(constB71)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37062, 15407])).
% 7.78/5.97 tff(37064,plain,
% 7.78/5.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB70, constB71)) | (v192(constB71) <=> v190(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB70, constB71)) | (v192(constB71) <=> v190(constB70)))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37065,plain,
% 7.78/5.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB70, constB71)) | (v192(constB71) <=> v190(constB70)))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37066,plain,
% 7.78/5.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB70, constB71)) | (v192(constB71) <=> v190(constB70))),
% 7.78/5.97 inference(modus_ponens,[status(thm)],[37065, 37064])).
% 7.78/5.97 tff(37067,plain,
% 7.78/5.97 (v192(constB71) <=> v190(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37066, 2267, 15419])).
% 7.78/5.97 tff(37068,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB70) <=> (v193(constB70) | v196(constB70)))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37069,plain,
% 7.78/5.97 (v190(constB70) <=> (v193(constB70) | v196(constB70))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37068, 15430])).
% 7.78/5.97 tff(37070,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB70) <=> (~((~v157(constB70)) | (~v194(constB70)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB70) <=> (~((~v157(constB70)) | (~v194(constB70))))))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37071,plain,
% 7.78/5.97 ((v193(constB70) <=> (~((~v194(constB70)) | (~v157(constB70))))) <=> (v193(constB70) <=> (~((~v157(constB70)) | (~v194(constB70)))))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37072,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB70) <=> (~((~v194(constB70)) | (~v157(constB70)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB70) <=> (~((~v157(constB70)) | (~v194(constB70))))))),
% 7.78/5.97 inference(monotonicity,[status(thm)],[37071])).
% 7.78/5.97 tff(37073,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB70) <=> (~((~v194(constB70)) | (~v157(constB70)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB70) <=> (~((~v157(constB70)) | (~v194(constB70))))))),
% 7.78/5.97 inference(transitivity,[status(thm)],[37072, 37070])).
% 7.78/5.97 tff(37074,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB70) <=> (~((~v194(constB70)) | (~v157(constB70)))))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37075,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB70) <=> (~((~v157(constB70)) | (~v194(constB70)))))),
% 7.78/5.97 inference(modus_ponens,[status(thm)],[37074, 37073])).
% 7.78/5.97 tff(37076,plain,
% 7.78/5.97 (v193(constB70) <=> (~((~v157(constB70)) | (~v194(constB70))))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37075, 15442])).
% 7.78/5.97 tff(37077,plain,
% 7.78/5.97 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB70) <=> v192(constB70))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37078,plain,
% 7.78/5.97 (v157(constB70) <=> v192(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37077, 15407])).
% 7.78/5.97 tff(37079,plain,
% 7.78/5.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB69, constB70)) | (v192(constB70) <=> v190(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB69, constB70)) | (v192(constB70) <=> v190(constB69)))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37080,plain,
% 7.78/5.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB69, constB70)) | (v192(constB70) <=> v190(constB69)))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37081,plain,
% 7.78/5.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB69, constB70)) | (v192(constB70) <=> v190(constB69))),
% 7.78/5.97 inference(modus_ponens,[status(thm)],[37080, 37079])).
% 7.78/5.97 tff(37082,plain,
% 7.78/5.97 (v192(constB70) <=> v190(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37081, 2303, 15419])).
% 7.78/5.97 tff(37083,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB69) <=> (v193(constB69) | v196(constB69)))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37084,plain,
% 7.78/5.97 (v190(constB69) <=> (v193(constB69) | v196(constB69))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37083, 15430])).
% 7.78/5.97 tff(37085,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB69) <=> (~((~v159(constB69)) | (~v194(constB69)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB69) <=> (~((~v159(constB69)) | (~v194(constB69))))))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37086,plain,
% 7.78/5.97 ((v196(constB69) <=> (~((~v194(constB69)) | (~v159(constB69))))) <=> (v196(constB69) <=> (~((~v159(constB69)) | (~v194(constB69)))))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37087,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB69) <=> (~((~v194(constB69)) | (~v159(constB69)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB69) <=> (~((~v159(constB69)) | (~v194(constB69))))))),
% 7.78/5.97 inference(monotonicity,[status(thm)],[37086])).
% 7.78/5.97 tff(37088,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB69) <=> (~((~v194(constB69)) | (~v159(constB69)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB69) <=> (~((~v159(constB69)) | (~v194(constB69))))))),
% 7.78/5.97 inference(transitivity,[status(thm)],[37087, 37085])).
% 7.78/5.97 tff(37089,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB69) <=> (~((~v194(constB69)) | (~v159(constB69)))))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37090,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB69) <=> (~((~v159(constB69)) | (~v194(constB69)))))),
% 7.78/5.97 inference(modus_ponens,[status(thm)],[37089, 37088])).
% 7.78/5.97 tff(37091,plain,
% 7.78/5.97 (v196(constB69) <=> (~((~v159(constB69)) | (~v194(constB69))))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37090, 15467])).
% 7.78/5.97 tff(37092,plain,
% 7.78/5.97 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB69) <=> v182(constB69))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37093,plain,
% 7.78/5.97 (v159(constB69) <=> v182(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37092, 15113])).
% 7.78/5.97 tff(37094,plain,
% 7.78/5.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB68, constB69)) | (v182(constB69) <=> v180(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB68, constB69)) | (v182(constB69) <=> v180(constB68)))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37095,plain,
% 7.78/5.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB68, constB69)) | (v182(constB69) <=> v180(constB68)))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37096,plain,
% 7.78/5.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB68, constB69)) | (v182(constB69) <=> v180(constB68))),
% 7.78/5.97 inference(modus_ponens,[status(thm)],[37095, 37094])).
% 7.78/5.97 tff(37097,plain,
% 7.78/5.97 (v182(constB69) <=> v180(constB68)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37096, 2333, 15125])).
% 7.78/5.97 tff(37098,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB68) <=> (~((~v183(constB68)) | (~v184(constB68)))))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37099,plain,
% 7.78/5.97 (v180(constB68) <=> (~((~v183(constB68)) | (~v184(constB68))))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37098, 15139])).
% 7.78/5.97 tff(37100,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB68) <=> (~((~v185(constB68)) | (~v161(constB68)))))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37101,plain,
% 7.78/5.97 (v184(constB68) <=> (~((~v185(constB68)) | (~v161(constB68))))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37100, 15151])).
% 7.78/5.97 tff(37102,plain,
% 7.78/5.97 (((~v185(constB68)) | (~v161(constB68))) | v185(constB68)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37103,plain,
% 7.78/5.97 ((~v185(constB68)) | (~v161(constB68))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37102, 23958])).
% 7.78/5.97 tff(37104,plain,
% 7.78/5.97 ((~(v184(constB68) <=> (~((~v185(constB68)) | (~v161(constB68)))))) | (~v184(constB68)) | (~((~v185(constB68)) | (~v161(constB68))))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37105,plain,
% 7.78/5.97 ((~(v184(constB68) <=> (~((~v185(constB68)) | (~v161(constB68)))))) | (~v184(constB68))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37104, 37103])).
% 7.78/5.97 tff(37106,plain,
% 7.78/5.97 (~v184(constB68)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37105, 37101])).
% 7.78/5.97 tff(37107,plain,
% 7.78/5.97 (((~v183(constB68)) | (~v184(constB68))) | v184(constB68)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37108,plain,
% 7.78/5.97 ((~v183(constB68)) | (~v184(constB68))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37107, 37106])).
% 7.78/5.97 tff(37109,plain,
% 7.78/5.97 ((~(v180(constB68) <=> (~((~v183(constB68)) | (~v184(constB68)))))) | (~v180(constB68)) | (~((~v183(constB68)) | (~v184(constB68))))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37110,plain,
% 7.78/5.97 (~v180(constB68)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37109, 37108, 37099])).
% 7.78/5.97 tff(37111,plain,
% 7.78/5.97 ((~(v182(constB69) <=> v180(constB68))) | (~v182(constB69)) | v180(constB68)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37112,plain,
% 7.78/5.97 (~v182(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37111, 37110, 37097])).
% 7.78/5.97 tff(37113,plain,
% 7.78/5.97 ((~(v159(constB69) <=> v182(constB69))) | (~v159(constB69)) | v182(constB69)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37114,plain,
% 7.78/5.97 (~v159(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37113, 37112, 37093])).
% 7.78/5.97 tff(37115,plain,
% 7.78/5.97 (((~v159(constB69)) | (~v194(constB69))) | v159(constB69)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37116,plain,
% 7.78/5.97 ((~v159(constB69)) | (~v194(constB69))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37115, 37114])).
% 7.78/5.97 tff(37117,plain,
% 7.78/5.97 ((~(v196(constB69) <=> (~((~v159(constB69)) | (~v194(constB69)))))) | (~v196(constB69)) | (~((~v159(constB69)) | (~v194(constB69))))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37118,plain,
% 7.78/5.97 (~v196(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37117, 37116, 37091])).
% 7.78/5.97 tff(37119,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB69) <=> (~((~v157(constB69)) | (~v194(constB69)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB69) <=> (~((~v157(constB69)) | (~v194(constB69))))))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37120,plain,
% 7.78/5.97 ((v193(constB69) <=> (~((~v194(constB69)) | (~v157(constB69))))) <=> (v193(constB69) <=> (~((~v157(constB69)) | (~v194(constB69)))))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37121,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB69) <=> (~((~v194(constB69)) | (~v157(constB69)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB69) <=> (~((~v157(constB69)) | (~v194(constB69))))))),
% 7.78/5.97 inference(monotonicity,[status(thm)],[37120])).
% 7.78/5.97 tff(37122,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB69) <=> (~((~v194(constB69)) | (~v157(constB69)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB69) <=> (~((~v157(constB69)) | (~v194(constB69))))))),
% 7.78/5.97 inference(transitivity,[status(thm)],[37121, 37119])).
% 7.78/5.97 tff(37123,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB69) <=> (~((~v194(constB69)) | (~v157(constB69)))))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37124,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB69) <=> (~((~v157(constB69)) | (~v194(constB69)))))),
% 7.78/5.97 inference(modus_ponens,[status(thm)],[37123, 37122])).
% 7.78/5.97 tff(37125,plain,
% 7.78/5.97 (v193(constB69) <=> (~((~v157(constB69)) | (~v194(constB69))))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37124, 15442])).
% 7.78/5.97 tff(37126,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB69)) <=> v195(constB69))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37127,plain,
% 7.78/5.97 ((~v194(constB69)) <=> v195(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37126, 15527])).
% 7.78/5.97 tff(37128,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB69) <=> (v185(constB69) | v26(constB69)))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37129,plain,
% 7.78/5.97 (v195(constB69) <=> (v185(constB69) | v26(constB69))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37128, 15536])).
% 7.78/5.97 tff(37130,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB69) <=> (~((~v39(constB69)) | (~v9(constB69)))))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37131,plain,
% 7.78/5.97 (v185(constB69) <=> (~((~v39(constB69)) | (~v9(constB69))))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37130, 93])).
% 7.78/5.97 tff(37132,plain,
% 7.78/5.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37133,plain,
% 7.78/5.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37134,plain,
% 7.78/5.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69))),
% 7.78/5.97 inference(modus_ponens,[status(thm)],[37133, 37132])).
% 7.78/5.97 tff(37135,plain,
% 7.78/5.97 (v13(constB70) <=> v9(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37134, 2303, 15550])).
% 7.78/5.97 tff(37136,plain,
% 7.78/5.97 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB70) <=> v13(constB70))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37137,plain,
% 7.78/5.97 (v6(constB70) <=> v13(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37136, 15564])).
% 7.78/5.97 tff(37138,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB70)) <=> v6(constB70))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37139,plain,
% 7.78/5.97 ((~v21(constB70)) <=> v6(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37138, 15573])).
% 7.78/5.97 tff(37140,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB70) <=> (v20(constB70) | v21(constB70)))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37141,plain,
% 7.78/5.97 (v19(constB70) <=> (v20(constB70) | v21(constB70))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37140, 15582])).
% 7.78/5.97 tff(37142,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70)))))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37143,plain,
% 7.78/5.97 (v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70))))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37142, 15594])).
% 7.78/5.97 tff(37144,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB70)) <=> v18(constB70))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37145,plain,
% 7.78/5.97 ((~v4(constB70)) <=> v18(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37144, 15603])).
% 7.78/5.97 tff(37146,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB70)),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37147,plain,
% 7.78/5.97 (v4(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37146, 15612])).
% 7.78/5.97 tff(37148,plain,
% 7.78/5.97 ((~((~v4(constB70)) <=> v18(constB70))) | (~v4(constB70)) | (~v18(constB70))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37149,plain,
% 7.78/5.97 (~v18(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37148, 37147, 37145])).
% 7.78/5.97 tff(37150,plain,
% 7.78/5.97 ((~(v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70)))))) | v18(constB70) | ((~v19(constB70)) | (~v22(constB70)))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37151,plain,
% 7.78/5.97 ((~v19(constB70)) | (~v22(constB70))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37150, 37149, 37143])).
% 7.78/5.97 tff(37152,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB70) <=> (v1(constB70) | v6(constB70)))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37153,plain,
% 7.78/5.97 (v22(constB70) <=> (v1(constB70) | v6(constB70))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37152, 15625])).
% 7.78/5.97 tff(37154,plain,
% 7.78/5.97 ((v1(constB70) | v6(constB70)) | (~v1(constB70))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37155,plain,
% 7.78/5.97 (v1(constB70) | v6(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37154, 10268])).
% 7.78/5.97 tff(37156,plain,
% 7.78/5.97 ((~(v22(constB70) <=> (v1(constB70) | v6(constB70)))) | v22(constB70) | (~(v1(constB70) | v6(constB70)))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37157,plain,
% 7.78/5.97 ((~(v22(constB70) <=> (v1(constB70) | v6(constB70)))) | v22(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37156, 37155])).
% 7.78/5.97 tff(37158,plain,
% 7.78/5.97 (v22(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37157, 37153])).
% 7.78/5.97 tff(37159,plain,
% 7.78/5.97 ((~((~v19(constB70)) | (~v22(constB70)))) | (~v19(constB70)) | (~v22(constB70))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37160,plain,
% 7.78/5.97 ((~((~v19(constB70)) | (~v22(constB70)))) | (~v19(constB70))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37159, 37158])).
% 7.78/5.97 tff(37161,plain,
% 7.78/5.97 (~v19(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37160, 37151])).
% 7.78/5.97 tff(37162,plain,
% 7.78/5.97 ((~(v19(constB70) <=> (v20(constB70) | v21(constB70)))) | v19(constB70) | (~(v20(constB70) | v21(constB70)))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37163,plain,
% 7.78/5.97 (~(v20(constB70) | v21(constB70))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37162, 37161, 37141])).
% 7.78/5.97 tff(37164,plain,
% 7.78/5.97 ((v20(constB70) | v21(constB70)) | (~v21(constB70))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37165,plain,
% 7.78/5.97 (~v21(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37164, 37163])).
% 7.78/5.97 tff(37166,plain,
% 7.78/5.97 ((~((~v21(constB70)) <=> v6(constB70))) | v21(constB70) | v6(constB70)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37167,plain,
% 7.78/5.97 (v6(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37166, 37165, 37139])).
% 7.78/5.97 tff(37168,plain,
% 7.78/5.97 ((~(v6(constB70) <=> v13(constB70))) | (~v6(constB70)) | v13(constB70)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37169,plain,
% 7.78/5.97 (v13(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37168, 37167, 37137])).
% 7.78/5.97 tff(37170,plain,
% 7.78/5.97 ((~(v13(constB70) <=> v9(constB69))) | (~v13(constB70)) | v9(constB69)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37171,plain,
% 7.78/5.97 (v9(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37170, 37169, 37135])).
% 7.78/5.97 tff(37172,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB69)) <=> v1(constB69))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37173,plain,
% 7.78/5.97 ((~v39(constB69)) <=> v1(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37172, 102])).
% 7.78/5.97 tff(37174,plain,
% 7.78/5.97 ((~((~v39(constB69)) <=> v1(constB69))) | v39(constB69) | v1(constB69)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37175,plain,
% 7.78/5.97 ((~((~v39(constB69)) <=> v1(constB69))) | v39(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37174, 2347])).
% 7.78/5.97 tff(37176,plain,
% 7.78/5.97 (v39(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37175, 37173])).
% 7.78/5.97 tff(37177,plain,
% 7.78/5.97 ((~((~v39(constB69)) | (~v9(constB69)))) | (~v39(constB69)) | (~v9(constB69))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37178,plain,
% 7.78/5.97 ((~((~v39(constB69)) | (~v9(constB69)))) | (~v9(constB69))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37177, 37176])).
% 7.78/5.97 tff(37179,plain,
% 7.78/5.97 (~((~v39(constB69)) | (~v9(constB69)))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37178, 37171])).
% 7.78/5.97 tff(37180,plain,
% 7.78/5.97 ((~(v185(constB69) <=> (~((~v39(constB69)) | (~v9(constB69)))))) | v185(constB69) | ((~v39(constB69)) | (~v9(constB69)))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37181,plain,
% 7.78/5.97 (v185(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37180, 37179, 37131])).
% 7.78/5.97 tff(37182,plain,
% 7.78/5.97 ((v185(constB69) | v26(constB69)) | (~v185(constB69))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37183,plain,
% 7.78/5.97 (v185(constB69) | v26(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37182, 37181])).
% 7.78/5.97 tff(37184,plain,
% 7.78/5.97 ((~(v195(constB69) <=> (v185(constB69) | v26(constB69)))) | v195(constB69) | (~(v185(constB69) | v26(constB69)))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37185,plain,
% 7.78/5.97 (v195(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37184, 37183, 37129])).
% 7.78/5.97 tff(37186,plain,
% 7.78/5.97 ((~((~v194(constB69)) <=> v195(constB69))) | (~v194(constB69)) | (~v195(constB69))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37187,plain,
% 7.78/5.97 (~v194(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37186, 37185, 37127])).
% 7.78/5.97 tff(37188,plain,
% 7.78/5.97 (((~v157(constB69)) | (~v194(constB69))) | v194(constB69)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37189,plain,
% 7.78/5.97 ((~v157(constB69)) | (~v194(constB69))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37188, 37187])).
% 7.78/5.97 tff(37190,plain,
% 7.78/5.97 ((~(v193(constB69) <=> (~((~v157(constB69)) | (~v194(constB69)))))) | (~v193(constB69)) | (~((~v157(constB69)) | (~v194(constB69))))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37191,plain,
% 7.78/5.97 (~v193(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37190, 37189, 37125])).
% 7.78/5.97 tff(37192,plain,
% 7.78/5.97 ((~(v193(constB69) | v196(constB69))) | v193(constB69) | v196(constB69)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37193,plain,
% 7.78/5.97 (~(v193(constB69) | v196(constB69))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37192, 37191, 37118])).
% 7.78/5.97 tff(37194,plain,
% 7.78/5.97 ((~(v190(constB69) <=> (v193(constB69) | v196(constB69)))) | (~v190(constB69)) | (v193(constB69) | v196(constB69))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37195,plain,
% 7.78/5.97 (~v190(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37194, 37193, 37084])).
% 7.78/5.97 tff(37196,plain,
% 7.78/5.97 ((~(v192(constB70) <=> v190(constB69))) | (~v192(constB70)) | v190(constB69)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37197,plain,
% 7.78/5.97 (~v192(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37196, 37195, 37082])).
% 7.78/5.97 tff(37198,plain,
% 7.78/5.97 ((~(v157(constB70) <=> v192(constB70))) | (~v157(constB70)) | v192(constB70)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37199,plain,
% 7.78/5.97 (~v157(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37198, 37197, 37078])).
% 7.78/5.97 tff(37200,plain,
% 7.78/5.97 (((~v157(constB70)) | (~v194(constB70))) | v157(constB70)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37201,plain,
% 7.78/5.97 ((~v157(constB70)) | (~v194(constB70))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37200, 37199])).
% 7.78/5.97 tff(37202,plain,
% 7.78/5.97 ((~(v193(constB70) <=> (~((~v157(constB70)) | (~v194(constB70)))))) | (~v193(constB70)) | (~((~v157(constB70)) | (~v194(constB70))))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37203,plain,
% 7.78/5.97 (~v193(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37202, 37201, 37076])).
% 7.78/5.97 tff(37204,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB70) <=> (~((~v159(constB70)) | (~v194(constB70)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB70) <=> (~((~v159(constB70)) | (~v194(constB70))))))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37205,plain,
% 7.78/5.97 ((v196(constB70) <=> (~((~v194(constB70)) | (~v159(constB70))))) <=> (v196(constB70) <=> (~((~v159(constB70)) | (~v194(constB70)))))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37206,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB70) <=> (~((~v194(constB70)) | (~v159(constB70)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB70) <=> (~((~v159(constB70)) | (~v194(constB70))))))),
% 7.78/5.97 inference(monotonicity,[status(thm)],[37205])).
% 7.78/5.97 tff(37207,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB70) <=> (~((~v194(constB70)) | (~v159(constB70)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB70) <=> (~((~v159(constB70)) | (~v194(constB70))))))),
% 7.78/5.97 inference(transitivity,[status(thm)],[37206, 37204])).
% 7.78/5.97 tff(37208,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB70) <=> (~((~v194(constB70)) | (~v159(constB70)))))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37209,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB70) <=> (~((~v159(constB70)) | (~v194(constB70)))))),
% 7.78/5.97 inference(modus_ponens,[status(thm)],[37208, 37207])).
% 7.78/5.97 tff(37210,plain,
% 7.78/5.97 (v196(constB70) <=> (~((~v159(constB70)) | (~v194(constB70))))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37209, 15467])).
% 7.78/5.97 tff(37211,plain,
% 7.78/5.97 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB70) <=> v182(constB70))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37212,plain,
% 7.78/5.97 (v159(constB70) <=> v182(constB70)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37211, 15113])).
% 7.78/5.97 tff(37213,plain,
% 7.78/5.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB69, constB70)) | (v182(constB70) <=> v180(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB69, constB70)) | (v182(constB70) <=> v180(constB69)))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37214,plain,
% 7.78/5.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB69, constB70)) | (v182(constB70) <=> v180(constB69)))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37215,plain,
% 7.78/5.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB69, constB70)) | (v182(constB70) <=> v180(constB69))),
% 7.78/5.97 inference(modus_ponens,[status(thm)],[37214, 37213])).
% 7.78/5.97 tff(37216,plain,
% 7.78/5.97 (v182(constB70) <=> v180(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37215, 2303, 15125])).
% 7.78/5.97 tff(37217,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB69) <=> (~((~v183(constB69)) | (~v184(constB69)))))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37218,plain,
% 7.78/5.97 (v180(constB69) <=> (~((~v183(constB69)) | (~v184(constB69))))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37217, 15139])).
% 7.78/5.97 tff(37219,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB69) <=> (~((~v185(constB69)) | (~v161(constB69)))))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37220,plain,
% 7.78/5.97 (v184(constB69) <=> (~((~v185(constB69)) | (~v161(constB69))))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37219, 15151])).
% 7.78/5.97 tff(37221,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB69) <=> v163(constB69))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37222,plain,
% 7.78/5.97 (v161(constB69) <=> v163(constB69)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37221, 15701])).
% 7.78/5.97 tff(37223,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB69) <=> (v145(constB69) | v167(constB69)))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37224,plain,
% 7.78/5.97 (v166(constB69) <=> (v145(constB69) | v167(constB69))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37223, 15713])).
% 7.78/5.97 tff(37225,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB69) <=> (v142(constB69) | v168(constB69)))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37226,plain,
% 7.78/5.97 (v167(constB69) <=> (v142(constB69) | v168(constB69))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37225, 15725])).
% 7.78/5.97 tff(37227,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB69) <=> (v143(constB69) | v144(constB69)))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37228,plain,
% 7.78/5.97 (v142(constB69) <=> (v143(constB69) | v144(constB69))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37227, 221])).
% 7.78/5.97 tff(37229,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB69) <=> (~((~v88(constB69, 1)) | v88(constB69, 2) | v88(constB69, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB69) <=> (~((~v88(constB69, 1)) | v88(constB69, 2) | v88(constB69, 0)))))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37230,plain,
% 7.78/5.97 ((v143(constB69) <=> (~(v88(constB69, 0) | v88(constB69, 2) | (~v88(constB69, 1))))) <=> (v143(constB69) <=> (~((~v88(constB69, 1)) | v88(constB69, 2) | v88(constB69, 0))))),
% 7.78/5.97 inference(rewrite,[status(thm)],[])).
% 7.78/5.97 tff(37231,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB69) <=> (~(v88(constB69, 0) | v88(constB69, 2) | (~v88(constB69, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB69) <=> (~((~v88(constB69, 1)) | v88(constB69, 2) | v88(constB69, 0)))))),
% 7.78/5.97 inference(monotonicity,[status(thm)],[37230])).
% 7.78/5.97 tff(37232,plain,
% 7.78/5.97 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB69) <=> (~(v88(constB69, 0) | v88(constB69, 2) | (~v88(constB69, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB69) <=> (~((~v88(constB69, 1)) | v88(constB69, 2) | v88(constB69, 0)))))),
% 7.78/5.97 inference(transitivity,[status(thm)],[37231, 37229])).
% 7.78/5.97 tff(37233,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB69) <=> (~(v88(constB69, 0) | v88(constB69, 2) | (~v88(constB69, 1)))))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37234,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB69) <=> (~((~v88(constB69, 1)) | v88(constB69, 2) | v88(constB69, 0))))),
% 7.78/5.97 inference(modus_ponens,[status(thm)],[37233, 37232])).
% 7.78/5.97 tff(37235,plain,
% 7.78/5.97 (v143(constB69) <=> (~((~v88(constB69, 1)) | v88(constB69, 2) | v88(constB69, 0)))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37234, 236])).
% 7.78/5.97 tff(37236,plain,
% 7.78/5.97 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB69, 1)) <=> v90(constB69, 1)) | ((~v88(constB69, 2)) <=> v90(constB69, 2)) | ((~v88(constB69, 0)) <=> v90(constB69, 0))))),
% 7.78/5.97 inference(quant_inst,[status(thm)],[])).
% 7.78/5.97 tff(37237,plain,
% 7.78/5.97 (~(((~v88(constB69, 1)) <=> v90(constB69, 1)) | ((~v88(constB69, 2)) <=> v90(constB69, 2)) | ((~v88(constB69, 0)) <=> v90(constB69, 0)))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37236, 256])).
% 7.78/5.97 tff(37238,plain,
% 7.78/5.97 ((((~v88(constB69, 1)) <=> v90(constB69, 1)) | ((~v88(constB69, 2)) <=> v90(constB69, 2)) | ((~v88(constB69, 0)) <=> v90(constB69, 0))) | (~((~v88(constB69, 2)) <=> v90(constB69, 2)))),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37239,plain,
% 7.78/5.97 (~((~v88(constB69, 2)) <=> v90(constB69, 2))),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37238, 37237])).
% 7.78/5.97 tff(37240,plain,
% 7.78/5.97 (((~v88(constB69, 2)) <=> v90(constB69, 2)) | (~v88(constB69, 2)) | v90(constB69, 2)),
% 7.78/5.97 inference(tautology,[status(thm)],[])).
% 7.78/5.97 tff(37241,plain,
% 7.78/5.97 (~v88(constB69, 2)),
% 7.78/5.97 inference(unit_resolution,[status(thm)],[37240, 10190, 37239])).
% 7.78/5.98 tff(37242,plain,
% 7.78/5.98 ((((~v88(constB69, 1)) <=> v90(constB69, 1)) | ((~v88(constB69, 2)) <=> v90(constB69, 2)) | ((~v88(constB69, 0)) <=> v90(constB69, 0))) | (~((~v88(constB69, 0)) <=> v90(constB69, 0)))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37243,plain,
% 7.78/5.98 (~((~v88(constB69, 0)) <=> v90(constB69, 0))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37242, 37237])).
% 7.78/5.98 tff(37244,plain,
% 7.78/5.98 (((~v88(constB69, 0)) <=> v90(constB69, 0)) | (~v88(constB69, 0)) | v90(constB69, 0)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37245,plain,
% 7.78/5.98 (~v88(constB69, 0)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37244, 10208, 37243])).
% 7.78/5.98 tff(37246,plain,
% 7.78/5.98 ((((~v88(constB69, 1)) <=> v90(constB69, 1)) | ((~v88(constB69, 2)) <=> v90(constB69, 2)) | ((~v88(constB69, 0)) <=> v90(constB69, 0))) | (~((~v88(constB69, 1)) <=> v90(constB69, 1)))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37247,plain,
% 7.78/5.98 (~((~v88(constB69, 1)) <=> v90(constB69, 1))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37246, 37237])).
% 7.78/5.98 tff(37248,plain,
% 7.78/5.98 (((~v88(constB69, 1)) <=> v90(constB69, 1)) | v88(constB69, 1) | (~v90(constB69, 1))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37249,plain,
% 7.78/5.98 (v88(constB69, 1)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37248, 10226, 37247])).
% 7.78/5.98 tff(37250,plain,
% 7.78/5.98 ((~((~v88(constB69, 1)) | v88(constB69, 2) | v88(constB69, 0))) | (~v88(constB69, 1)) | v88(constB69, 2) | v88(constB69, 0)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37251,plain,
% 7.78/5.98 (~((~v88(constB69, 1)) | v88(constB69, 2) | v88(constB69, 0))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37250, 37249, 37245, 37241])).
% 7.78/5.98 tff(37252,plain,
% 7.78/5.98 ((~(v143(constB69) <=> (~((~v88(constB69, 1)) | v88(constB69, 2) | v88(constB69, 0))))) | v143(constB69) | ((~v88(constB69, 1)) | v88(constB69, 2) | v88(constB69, 0))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37253,plain,
% 7.78/5.98 (v143(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37252, 37251, 37235])).
% 7.78/5.98 tff(37254,plain,
% 7.78/5.98 ((v143(constB69) | v144(constB69)) | (~v143(constB69))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37255,plain,
% 7.78/5.98 (v143(constB69) | v144(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37254, 37253])).
% 7.78/5.98 tff(37256,plain,
% 7.78/5.98 ((~(v142(constB69) <=> (v143(constB69) | v144(constB69)))) | v142(constB69) | (~(v143(constB69) | v144(constB69)))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37257,plain,
% 7.78/5.98 (v142(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37256, 37255, 37228])).
% 7.78/5.98 tff(37258,plain,
% 7.78/5.98 ((v142(constB69) | v168(constB69)) | (~v142(constB69))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37259,plain,
% 7.78/5.98 (v142(constB69) | v168(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37258, 37257])).
% 7.78/5.98 tff(37260,plain,
% 7.78/5.98 ((~(v167(constB69) <=> (v142(constB69) | v168(constB69)))) | v167(constB69) | (~(v142(constB69) | v168(constB69)))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37261,plain,
% 7.78/5.98 ((~(v167(constB69) <=> (v142(constB69) | v168(constB69)))) | v167(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37260, 37259])).
% 7.78/5.98 tff(37262,plain,
% 7.78/5.98 (v167(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37261, 37226])).
% 7.78/5.98 tff(37263,plain,
% 7.78/5.98 ((v145(constB69) | v167(constB69)) | (~v167(constB69))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37264,plain,
% 7.78/5.98 (v145(constB69) | v167(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37263, 37262])).
% 7.78/5.98 tff(37265,plain,
% 7.78/5.98 ((~(v166(constB69) <=> (v145(constB69) | v167(constB69)))) | v166(constB69) | (~(v145(constB69) | v167(constB69)))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37266,plain,
% 7.78/5.98 (v166(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37265, 37264, 37224])).
% 7.78/5.98 tff(37267,plain,
% 7.78/5.98 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB69)) | (v163(constB69) <=> v170(constB69)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB69)) | (v163(constB69) <=> v170(constB69)))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37268,plain,
% 7.78/5.98 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB69)) | (v163(constB69) <=> v170(constB69)))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37269,plain,
% 7.78/5.98 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB69)) | (v163(constB69) <=> v170(constB69))),
% 7.78/5.98 inference(modus_ponens,[status(thm)],[37268, 37267])).
% 7.78/5.98 tff(37270,plain,
% 7.78/5.98 ((~v166(constB69)) | (v163(constB69) <=> v170(constB69))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37269, 15777])).
% 7.78/5.98 tff(37271,plain,
% 7.78/5.98 (v163(constB69) <=> v170(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37270, 37266])).
% 7.78/5.98 tff(37272,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB69) <=> (~(v88(constB69, 0) | v88(constB69, 1) | v88(constB69, 2))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37273,plain,
% 7.78/5.98 (v139(constB69) <=> (~(v88(constB69, 0) | v88(constB69, 1) | v88(constB69, 2)))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37272, 15795])).
% 7.78/5.98 tff(37274,plain,
% 7.78/5.98 ((v88(constB69, 0) | v88(constB69, 1) | v88(constB69, 2)) | (~v88(constB69, 1))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37275,plain,
% 7.78/5.98 (v88(constB69, 0) | v88(constB69, 1) | v88(constB69, 2)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37274, 37249])).
% 7.78/5.98 tff(37276,plain,
% 7.78/5.98 ((~(v139(constB69) <=> (~(v88(constB69, 0) | v88(constB69, 1) | v88(constB69, 2))))) | (~v139(constB69)) | (~(v88(constB69, 0) | v88(constB69, 1) | v88(constB69, 2)))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37277,plain,
% 7.78/5.98 (~v139(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37276, 37275, 37273])).
% 7.78/5.98 tff(37278,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB69) <=> (~(v88(constB69, 1) | v88(constB69, 2) | (~v88(constB69, 0)))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37279,plain,
% 7.78/5.98 (v140(constB69) <=> (~(v88(constB69, 1) | v88(constB69, 2) | (~v88(constB69, 0))))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37278, 15814])).
% 7.78/5.98 tff(37280,plain,
% 7.78/5.98 ((v88(constB69, 1) | v88(constB69, 2) | (~v88(constB69, 0))) | (~v88(constB69, 1))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37281,plain,
% 7.78/5.98 (v88(constB69, 1) | v88(constB69, 2) | (~v88(constB69, 0))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37280, 37249])).
% 7.78/5.98 tff(37282,plain,
% 7.78/5.98 ((~(v140(constB69) <=> (~(v88(constB69, 1) | v88(constB69, 2) | (~v88(constB69, 0)))))) | (~v140(constB69)) | (~(v88(constB69, 1) | v88(constB69, 2) | (~v88(constB69, 0))))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37283,plain,
% 7.78/5.98 (~v140(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37282, 37281, 37279])).
% 7.78/5.98 tff(37284,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB69) | v139(constB69) | (~v170(constB69)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB69) | v139(constB69) | (~v170(constB69)))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37285,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB69) | v139(constB69) | (~v170(constB69)))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37286,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB69) | v139(constB69) | (~v170(constB69))),
% 7.78/5.98 inference(modus_ponens,[status(thm)],[37285, 37284])).
% 7.78/5.98 tff(37287,plain,
% 7.78/5.98 (v140(constB69) | v139(constB69) | (~v170(constB69))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37286, 15833])).
% 7.78/5.98 tff(37288,plain,
% 7.78/5.98 (~v170(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37287, 37283, 37277])).
% 7.78/5.98 tff(37289,plain,
% 7.78/5.98 ((~(v163(constB69) <=> v170(constB69))) | (~v163(constB69)) | v170(constB69)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37290,plain,
% 7.78/5.98 ((~(v163(constB69) <=> v170(constB69))) | (~v163(constB69))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37289, 37288])).
% 7.78/5.98 tff(37291,plain,
% 7.78/5.98 (~v163(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37290, 37271])).
% 7.78/5.98 tff(37292,plain,
% 7.78/5.98 ((~(v161(constB69) <=> v163(constB69))) | (~v161(constB69)) | v163(constB69)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37293,plain,
% 7.78/5.98 ((~(v161(constB69) <=> v163(constB69))) | (~v161(constB69))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37292, 37291])).
% 7.78/5.98 tff(37294,plain,
% 7.78/5.98 (~v161(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37293, 37222])).
% 7.78/5.98 tff(37295,plain,
% 7.78/5.98 (((~v185(constB69)) | (~v161(constB69))) | v161(constB69)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37296,plain,
% 7.78/5.98 ((~v185(constB69)) | (~v161(constB69))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37295, 37294])).
% 7.78/5.98 tff(37297,plain,
% 7.78/5.98 ((~(v184(constB69) <=> (~((~v185(constB69)) | (~v161(constB69)))))) | (~v184(constB69)) | (~((~v185(constB69)) | (~v161(constB69))))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37298,plain,
% 7.78/5.98 (~v184(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37297, 37296, 37220])).
% 7.78/5.98 tff(37299,plain,
% 7.78/5.98 (((~v183(constB69)) | (~v184(constB69))) | v184(constB69)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37300,plain,
% 7.78/5.98 ((~v183(constB69)) | (~v184(constB69))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37299, 37298])).
% 7.78/5.98 tff(37301,plain,
% 7.78/5.98 ((~(v180(constB69) <=> (~((~v183(constB69)) | (~v184(constB69)))))) | (~v180(constB69)) | (~((~v183(constB69)) | (~v184(constB69))))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37302,plain,
% 7.78/5.98 (~v180(constB69)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37301, 37300, 37218])).
% 7.78/5.98 tff(37303,plain,
% 7.78/5.98 ((~(v182(constB70) <=> v180(constB69))) | (~v182(constB70)) | v180(constB69)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37304,plain,
% 7.78/5.98 (~v182(constB70)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37303, 37302, 37216])).
% 7.78/5.98 tff(37305,plain,
% 7.78/5.98 ((~(v159(constB70) <=> v182(constB70))) | (~v159(constB70)) | v182(constB70)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37306,plain,
% 7.78/5.98 (~v159(constB70)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37305, 37304, 37212])).
% 7.78/5.98 tff(37307,plain,
% 7.78/5.98 (((~v159(constB70)) | (~v194(constB70))) | v159(constB70)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37308,plain,
% 7.78/5.98 ((~v159(constB70)) | (~v194(constB70))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37307, 37306])).
% 7.78/5.98 tff(37309,plain,
% 7.78/5.98 ((~(v196(constB70) <=> (~((~v159(constB70)) | (~v194(constB70)))))) | (~v196(constB70)) | (~((~v159(constB70)) | (~v194(constB70))))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37310,plain,
% 7.78/5.98 (~v196(constB70)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37309, 37308, 37210])).
% 7.78/5.98 tff(37311,plain,
% 7.78/5.98 ((~(v193(constB70) | v196(constB70))) | v193(constB70) | v196(constB70)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37312,plain,
% 7.78/5.98 (~(v193(constB70) | v196(constB70))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37311, 37310, 37203])).
% 7.78/5.98 tff(37313,plain,
% 7.78/5.98 ((~(v190(constB70) <=> (v193(constB70) | v196(constB70)))) | (~v190(constB70)) | (v193(constB70) | v196(constB70))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37314,plain,
% 7.78/5.98 (~v190(constB70)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37313, 37312, 37069])).
% 7.78/5.98 tff(37315,plain,
% 7.78/5.98 ((~(v192(constB71) <=> v190(constB70))) | (~v192(constB71)) | v190(constB70)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37316,plain,
% 7.78/5.98 (~v192(constB71)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37315, 37314, 37067])).
% 7.78/5.98 tff(37317,plain,
% 7.78/5.98 ((~(v157(constB71) <=> v192(constB71))) | (~v157(constB71)) | v192(constB71)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37318,plain,
% 7.78/5.98 (~v157(constB71)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37317, 37316, 37063])).
% 7.78/5.98 tff(37319,plain,
% 7.78/5.98 (((~v157(constB71)) | (~v202(constB71))) | v157(constB71)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37320,plain,
% 7.78/5.98 ((~v157(constB71)) | (~v202(constB71))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37319, 37318])).
% 7.78/5.98 tff(37321,plain,
% 7.78/5.98 ((~(v201(constB71) <=> (~((~v157(constB71)) | (~v202(constB71)))))) | (~v201(constB71)) | (~((~v157(constB71)) | (~v202(constB71))))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37322,plain,
% 7.78/5.98 (~v201(constB71)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37321, 37320, 37061])).
% 7.78/5.98 tff(37323,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB71) <=> (~((~v159(constB71)) | (~v202(constB71)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB71) <=> (~((~v159(constB71)) | (~v202(constB71))))))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37324,plain,
% 7.78/5.98 ((v205(constB71) <=> (~((~v202(constB71)) | (~v159(constB71))))) <=> (v205(constB71) <=> (~((~v159(constB71)) | (~v202(constB71)))))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37325,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB71) <=> (~((~v202(constB71)) | (~v159(constB71)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB71) <=> (~((~v159(constB71)) | (~v202(constB71))))))),
% 7.78/5.98 inference(monotonicity,[status(thm)],[37324])).
% 7.78/5.98 tff(37326,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB71) <=> (~((~v202(constB71)) | (~v159(constB71)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB71) <=> (~((~v159(constB71)) | (~v202(constB71))))))),
% 7.78/5.98 inference(transitivity,[status(thm)],[37325, 37323])).
% 7.78/5.98 tff(37327,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB71) <=> (~((~v202(constB71)) | (~v159(constB71)))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37328,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB71) <=> (~((~v159(constB71)) | (~v202(constB71)))))),
% 7.78/5.98 inference(modus_ponens,[status(thm)],[37327, 37326])).
% 7.78/5.98 tff(37329,plain,
% 7.78/5.98 (v205(constB71) <=> (~((~v159(constB71)) | (~v202(constB71))))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37328, 138])).
% 7.78/5.98 tff(37330,plain,
% 7.78/5.98 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB71) <=> v182(constB71))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37331,plain,
% 7.78/5.98 (v159(constB71) <=> v182(constB71)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37330, 15113])).
% 7.78/5.98 tff(37332,plain,
% 7.78/5.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB70, constB71)) | (v182(constB71) <=> v180(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB70, constB71)) | (v182(constB71) <=> v180(constB70)))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37333,plain,
% 7.78/5.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB70, constB71)) | (v182(constB71) <=> v180(constB70)))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37334,plain,
% 7.78/5.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB70, constB71)) | (v182(constB71) <=> v180(constB70))),
% 7.78/5.98 inference(modus_ponens,[status(thm)],[37333, 37332])).
% 7.78/5.98 tff(37335,plain,
% 7.78/5.98 (v182(constB71) <=> v180(constB70)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37334, 2267, 15125])).
% 7.78/5.98 tff(37336,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB70) <=> (~((~v183(constB70)) | (~v184(constB70)))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37337,plain,
% 7.78/5.98 (v180(constB70) <=> (~((~v183(constB70)) | (~v184(constB70))))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37336, 15139])).
% 7.78/5.98 tff(37338,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB70) <=> (~((~v185(constB70)) | (~v161(constB70)))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37339,plain,
% 7.78/5.98 (v184(constB70) <=> (~((~v185(constB70)) | (~v161(constB70))))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37338, 15151])).
% 7.78/5.98 tff(37340,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37341,plain,
% 7.78/5.98 (v185(constB70) <=> (~((~v39(constB70)) | (~v9(constB70))))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37340, 93])).
% 7.78/5.98 tff(37342,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB70)) <=> v1(constB70))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37343,plain,
% 7.78/5.98 ((~v39(constB70)) <=> v1(constB70)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37342, 102])).
% 7.78/5.98 tff(37344,plain,
% 7.78/5.98 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70)) | (~v1(constB70))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37345,plain,
% 7.78/5.98 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37344, 10268])).
% 7.78/5.98 tff(37346,plain,
% 7.78/5.98 (~v39(constB70)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37345, 37343])).
% 7.78/5.98 tff(37347,plain,
% 7.78/5.98 (((~v39(constB70)) | (~v9(constB70))) | v39(constB70)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37348,plain,
% 7.78/5.98 ((~v39(constB70)) | (~v9(constB70))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37347, 37346])).
% 7.78/5.98 tff(37349,plain,
% 7.78/5.98 ((~(v185(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v185(constB70)) | (~((~v39(constB70)) | (~v9(constB70))))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37350,plain,
% 7.78/5.98 ((~(v185(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v185(constB70))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37349, 37348])).
% 7.78/5.98 tff(37351,plain,
% 7.78/5.98 (~v185(constB70)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37350, 37341])).
% 7.78/5.98 tff(37352,plain,
% 7.78/5.98 (((~v185(constB70)) | (~v161(constB70))) | v185(constB70)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37353,plain,
% 7.78/5.98 ((~v185(constB70)) | (~v161(constB70))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37352, 37351])).
% 7.78/5.98 tff(37354,plain,
% 7.78/5.98 ((~(v184(constB70) <=> (~((~v185(constB70)) | (~v161(constB70)))))) | (~v184(constB70)) | (~((~v185(constB70)) | (~v161(constB70))))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37355,plain,
% 7.78/5.98 ((~(v184(constB70) <=> (~((~v185(constB70)) | (~v161(constB70)))))) | (~v184(constB70))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37354, 37353])).
% 7.78/5.98 tff(37356,plain,
% 7.78/5.98 (~v184(constB70)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37355, 37339])).
% 7.78/5.98 tff(37357,plain,
% 7.78/5.98 (((~v183(constB70)) | (~v184(constB70))) | v184(constB70)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37358,plain,
% 7.78/5.98 ((~v183(constB70)) | (~v184(constB70))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37357, 37356])).
% 7.78/5.98 tff(37359,plain,
% 7.78/5.98 ((~(v180(constB70) <=> (~((~v183(constB70)) | (~v184(constB70)))))) | (~v180(constB70)) | (~((~v183(constB70)) | (~v184(constB70))))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37360,plain,
% 7.78/5.98 (~v180(constB70)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37359, 37358, 37337])).
% 7.78/5.98 tff(37361,plain,
% 7.78/5.98 ((~(v182(constB71) <=> v180(constB70))) | (~v182(constB71)) | v180(constB70)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37362,plain,
% 7.78/5.98 (~v182(constB71)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37361, 37360, 37335])).
% 7.78/5.98 tff(37363,plain,
% 7.78/5.98 ((~(v159(constB71) <=> v182(constB71))) | (~v159(constB71)) | v182(constB71)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37364,plain,
% 7.78/5.98 (~v159(constB71)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37363, 37362, 37331])).
% 7.78/5.98 tff(37365,plain,
% 7.78/5.98 (((~v159(constB71)) | (~v202(constB71))) | v159(constB71)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37366,plain,
% 7.78/5.98 ((~v159(constB71)) | (~v202(constB71))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37365, 37364])).
% 7.78/5.98 tff(37367,plain,
% 7.78/5.98 ((~(v205(constB71) <=> (~((~v159(constB71)) | (~v202(constB71)))))) | (~v205(constB71)) | (~((~v159(constB71)) | (~v202(constB71))))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37368,plain,
% 7.78/5.98 (~v205(constB71)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37367, 37366, 37329])).
% 7.78/5.98 tff(37369,plain,
% 7.78/5.98 ((~(v201(constB71) | v205(constB71))) | v201(constB71) | v205(constB71)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37370,plain,
% 7.78/5.98 ((~(v201(constB71) | v205(constB71))) | v201(constB71)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37369, 37368])).
% 7.78/5.98 tff(37371,plain,
% 7.78/5.98 (~(v201(constB71) | v205(constB71))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37370, 37322])).
% 7.78/5.98 tff(37372,plain,
% 7.78/5.98 ((~(v200(constB71) <=> (v201(constB71) | v205(constB71)))) | (~v200(constB71)) | (v201(constB71) | v205(constB71))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37373,plain,
% 7.78/5.98 (~v200(constB71)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37372, 37371, 37054])).
% 7.78/5.98 tff(37374,plain,
% 7.78/5.98 ($false),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37373, 37052])).
% 7.78/5.98 tff(37375,plain,(~(constB71 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/5.98 tff(37376,assumption,(constB79 = VarCurr!0), introduced(assumption)).
% 7.78/5.98 tff(37377,plain,
% 7.78/5.98 (v200(constB79) <=> v200(VarCurr!0)),
% 7.78/5.98 inference(monotonicity,[status(thm)],[37376])).
% 7.78/5.98 tff(37378,plain,
% 7.78/5.98 (v200(VarCurr!0) <=> v200(constB79)),
% 7.78/5.98 inference(symmetry,[status(thm)],[37377])).
% 7.78/5.98 tff(37379,plain,
% 7.78/5.98 (v200(constB79)),
% 7.78/5.98 inference(modus_ponens,[status(thm)],[27, 37378])).
% 7.78/5.98 tff(37380,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB79) <=> (v201(constB79) | v205(constB79)))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37381,plain,
% 7.78/5.98 (v200(constB79) <=> (v201(constB79) | v205(constB79))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37380, 35])).
% 7.78/5.98 tff(37382,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB79) <=> (~((~v157(constB79)) | (~v202(constB79)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB79) <=> (~((~v157(constB79)) | (~v202(constB79))))))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37383,plain,
% 7.78/5.98 ((v201(constB79) <=> (~((~v202(constB79)) | (~v157(constB79))))) <=> (v201(constB79) <=> (~((~v157(constB79)) | (~v202(constB79)))))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37384,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB79) <=> (~((~v202(constB79)) | (~v157(constB79)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB79) <=> (~((~v157(constB79)) | (~v202(constB79))))))),
% 7.78/5.98 inference(monotonicity,[status(thm)],[37383])).
% 7.78/5.98 tff(37385,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB79) <=> (~((~v202(constB79)) | (~v157(constB79)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB79) <=> (~((~v157(constB79)) | (~v202(constB79))))))),
% 7.78/5.98 inference(transitivity,[status(thm)],[37384, 37382])).
% 7.78/5.98 tff(37386,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB79) <=> (~((~v202(constB79)) | (~v157(constB79)))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37387,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB79) <=> (~((~v157(constB79)) | (~v202(constB79)))))),
% 7.78/5.98 inference(modus_ponens,[status(thm)],[37386, 37385])).
% 7.78/5.98 tff(37388,plain,
% 7.78/5.98 (v201(constB79) <=> (~((~v157(constB79)) | (~v202(constB79))))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37387, 47])).
% 7.78/5.98 tff(37389,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB79) <=> (~((~v183(constB79)) | (~v203(constB79)))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37390,plain,
% 7.78/5.98 (v202(constB79) <=> (~((~v183(constB79)) | (~v203(constB79))))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37389, 64])).
% 7.78/5.98 tff(37391,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB79) <=> (~((~v185(constB79)) | (~v204(constB79)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB79) <=> (~((~v185(constB79)) | (~v204(constB79))))))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37392,plain,
% 7.78/5.98 ((v203(constB79) <=> (~((~v204(constB79)) | (~v185(constB79))))) <=> (v203(constB79) <=> (~((~v185(constB79)) | (~v204(constB79)))))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37393,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB79) <=> (~((~v204(constB79)) | (~v185(constB79)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB79) <=> (~((~v185(constB79)) | (~v204(constB79))))))),
% 7.78/5.98 inference(monotonicity,[status(thm)],[37392])).
% 7.78/5.98 tff(37394,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB79) <=> (~((~v204(constB79)) | (~v185(constB79)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB79) <=> (~((~v185(constB79)) | (~v204(constB79))))))),
% 7.78/5.98 inference(transitivity,[status(thm)],[37393, 37391])).
% 7.78/5.98 tff(37395,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB79) <=> (~((~v204(constB79)) | (~v185(constB79)))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37396,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB79) <=> (~((~v185(constB79)) | (~v204(constB79)))))),
% 7.78/5.98 inference(modus_ponens,[status(thm)],[37395, 37394])).
% 7.78/5.98 tff(37397,plain,
% 7.78/5.98 (v203(constB79) <=> (~((~v185(constB79)) | (~v204(constB79))))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37396, 76])).
% 7.78/5.98 tff(37398,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))) | ((~v204(constB79)) <=> v84(constB79))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37399,plain,
% 7.78/5.98 ((~v204(constB79)) <=> v84(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37398, 185])).
% 7.78/5.98 tff(37400,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB79) <=> v86(constB79))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37401,plain,
% 7.78/5.98 (v84(constB79) <=> v86(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37400, 194])).
% 7.78/5.98 tff(37402,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB79) <=> (v136(constB79) | v145(constB79)))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37403,plain,
% 7.78/5.98 (v135(constB79) <=> (v136(constB79) | v145(constB79))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37402, 203])).
% 7.78/5.98 tff(37404,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB79) <=> (v137(constB79) | v142(constB79)))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37405,plain,
% 7.78/5.98 (v136(constB79) <=> (v137(constB79) | v142(constB79))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37404, 212])).
% 7.78/5.98 tff(37406,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB79) <=> (v143(constB79) | v144(constB79)))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37407,plain,
% 7.78/5.98 (v142(constB79) <=> (v143(constB79) | v144(constB79))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37406, 221])).
% 7.78/5.98 tff(37408,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | v88(constB79, 0))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | v88(constB79, 0)))))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37409,plain,
% 7.78/5.98 ((v143(constB79) <=> (~(v88(constB79, 0) | v88(constB79, 2) | (~v88(constB79, 1))))) <=> (v143(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | v88(constB79, 0))))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37410,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB79) <=> (~(v88(constB79, 0) | v88(constB79, 2) | (~v88(constB79, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | v88(constB79, 0)))))),
% 7.78/5.98 inference(monotonicity,[status(thm)],[37409])).
% 7.78/5.98 tff(37411,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB79) <=> (~(v88(constB79, 0) | v88(constB79, 2) | (~v88(constB79, 1)))))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | v88(constB79, 0)))))),
% 7.78/5.98 inference(transitivity,[status(thm)],[37410, 37408])).
% 7.78/5.98 tff(37412,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB79) <=> (~(v88(constB79, 0) | v88(constB79, 2) | (~v88(constB79, 1)))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37413,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v143(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 2) | (~v88(VarCurr, 1)))))) | (v143(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | v88(constB79, 0))))),
% 7.78/5.98 inference(modus_ponens,[status(thm)],[37412, 37411])).
% 7.78/5.98 tff(37414,plain,
% 7.78/5.98 (v143(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | v88(constB79, 0)))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37413, 236])).
% 7.78/5.98 tff(37415,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB79, 1)) <=> v90(constB79, 1)) | ((~v88(constB79, 2)) <=> v90(constB79, 2)) | ((~v88(constB79, 0)) <=> v90(constB79, 0))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37416,plain,
% 7.78/5.98 (~(((~v88(constB79, 1)) <=> v90(constB79, 1)) | ((~v88(constB79, 2)) <=> v90(constB79, 2)) | ((~v88(constB79, 0)) <=> v90(constB79, 0)))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37415, 256])).
% 7.78/5.98 tff(37417,plain,
% 7.78/5.98 ((((~v88(constB79, 1)) <=> v90(constB79, 1)) | ((~v88(constB79, 2)) <=> v90(constB79, 2)) | ((~v88(constB79, 0)) <=> v90(constB79, 0))) | (~((~v88(constB79, 2)) <=> v90(constB79, 2)))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37418,plain,
% 7.78/5.98 (~((~v88(constB79, 2)) <=> v90(constB79, 2))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37417, 37416])).
% 7.78/5.98 tff(37419,plain,
% 7.78/5.98 (((~v88(constB79, 2)) <=> v90(constB79, 2)) | (~v88(constB79, 2)) | v90(constB79, 2)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37420,plain,
% 7.78/5.98 (~v88(constB79, 2)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37419, 10991, 37418])).
% 7.78/5.98 tff(37421,plain,
% 7.78/5.98 ((((~v88(constB79, 1)) <=> v90(constB79, 1)) | ((~v88(constB79, 2)) <=> v90(constB79, 2)) | ((~v88(constB79, 0)) <=> v90(constB79, 0))) | (~((~v88(constB79, 0)) <=> v90(constB79, 0)))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37422,plain,
% 7.78/5.98 (~((~v88(constB79, 0)) <=> v90(constB79, 0))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37421, 37416])).
% 7.78/5.98 tff(37423,plain,
% 7.78/5.98 (((~v88(constB79, 0)) <=> v90(constB79, 0)) | (~v88(constB79, 0)) | v90(constB79, 0)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37424,plain,
% 7.78/5.98 (~v88(constB79, 0)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37423, 11009, 37422])).
% 7.78/5.98 tff(37425,plain,
% 7.78/5.98 ((((~v88(constB79, 1)) <=> v90(constB79, 1)) | ((~v88(constB79, 2)) <=> v90(constB79, 2)) | ((~v88(constB79, 0)) <=> v90(constB79, 0))) | (~((~v88(constB79, 1)) <=> v90(constB79, 1)))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37426,plain,
% 7.78/5.98 (~((~v88(constB79, 1)) <=> v90(constB79, 1))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37425, 37416])).
% 7.78/5.98 tff(37427,plain,
% 7.78/5.98 (((~v88(constB79, 1)) <=> v90(constB79, 1)) | v88(constB79, 1) | (~v90(constB79, 1))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37428,plain,
% 7.78/5.98 (v88(constB79, 1)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37427, 11027, 37426])).
% 7.78/5.98 tff(37429,plain,
% 7.78/5.98 ((~((~v88(constB79, 1)) | v88(constB79, 2) | v88(constB79, 0))) | (~v88(constB79, 1)) | v88(constB79, 2) | v88(constB79, 0)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37430,plain,
% 7.78/5.98 (~((~v88(constB79, 1)) | v88(constB79, 2) | v88(constB79, 0))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37429, 37428, 37424, 37420])).
% 7.78/5.98 tff(37431,plain,
% 7.78/5.98 ((~(v143(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | v88(constB79, 0))))) | v143(constB79) | ((~v88(constB79, 1)) | v88(constB79, 2) | v88(constB79, 0))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37432,plain,
% 7.78/5.98 (v143(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37431, 37430, 37414])).
% 7.78/5.98 tff(37433,plain,
% 7.78/5.98 ((v143(constB79) | v144(constB79)) | (~v143(constB79))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37434,plain,
% 7.78/5.98 (v143(constB79) | v144(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37433, 37432])).
% 7.78/5.98 tff(37435,plain,
% 7.78/5.98 ((~(v142(constB79) <=> (v143(constB79) | v144(constB79)))) | v142(constB79) | (~(v143(constB79) | v144(constB79)))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37436,plain,
% 7.78/5.98 (v142(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37435, 37434, 37407])).
% 7.78/5.98 tff(37437,plain,
% 7.78/5.98 ((v137(constB79) | v142(constB79)) | (~v142(constB79))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37438,plain,
% 7.78/5.98 (v137(constB79) | v142(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37437, 37436])).
% 7.78/5.98 tff(37439,plain,
% 7.78/5.98 ((~(v136(constB79) <=> (v137(constB79) | v142(constB79)))) | v136(constB79) | (~(v137(constB79) | v142(constB79)))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37440,plain,
% 7.78/5.98 ((~(v136(constB79) <=> (v137(constB79) | v142(constB79)))) | v136(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37439, 37438])).
% 7.78/5.98 tff(37441,plain,
% 7.78/5.98 (v136(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37440, 37405])).
% 7.78/5.98 tff(37442,plain,
% 7.78/5.98 ((v136(constB79) | v145(constB79)) | (~v136(constB79))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37443,plain,
% 7.78/5.98 (v136(constB79) | v145(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37442, 37441])).
% 7.78/5.98 tff(37444,plain,
% 7.78/5.98 ((~(v135(constB79) <=> (v136(constB79) | v145(constB79)))) | v135(constB79) | (~(v136(constB79) | v145(constB79)))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37445,plain,
% 7.78/5.98 (v135(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37444, 37443, 37403])).
% 7.78/5.98 tff(37446,plain,
% 7.78/5.98 (((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB79)) | (v86(constB79) <=> v148(constB79)))) <=> ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB79)) | (v86(constB79) <=> v148(constB79)))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37447,plain,
% 7.78/5.98 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB79)) | (v86(constB79) <=> v148(constB79)))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37448,plain,
% 7.78/5.98 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB79)) | (v86(constB79) <=> v148(constB79))),
% 7.78/5.98 inference(modus_ponens,[status(thm)],[37447, 37446])).
% 7.78/5.98 tff(37449,plain,
% 7.78/5.98 (v86(constB79) <=> v148(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37448, 15057, 37445])).
% 7.78/5.98 tff(37450,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB79) | (~v142(constB79)))) <=> ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB79) | (~v142(constB79)))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37451,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB79) | (~v142(constB79)))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37452,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB79) | (~v142(constB79))),
% 7.78/5.98 inference(modus_ponens,[status(thm)],[37451, 37450])).
% 7.78/5.98 tff(37453,plain,
% 7.78/5.98 (v148(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37452, 15071, 37436])).
% 7.78/5.98 tff(37454,plain,
% 7.78/5.98 ((~(v86(constB79) <=> v148(constB79))) | v86(constB79) | (~v148(constB79))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37455,plain,
% 7.78/5.98 ((~(v86(constB79) <=> v148(constB79))) | v86(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37454, 37453])).
% 7.78/5.98 tff(37456,plain,
% 7.78/5.98 (v86(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37455, 37449])).
% 7.78/5.98 tff(37457,plain,
% 7.78/5.98 ((~(v84(constB79) <=> v86(constB79))) | v84(constB79) | (~v86(constB79))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37458,plain,
% 7.78/5.98 ((~(v84(constB79) <=> v86(constB79))) | v84(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37457, 37456])).
% 7.78/5.98 tff(37459,plain,
% 7.78/5.98 (v84(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37458, 37401])).
% 7.78/5.98 tff(37460,plain,
% 7.78/5.98 ((~((~v204(constB79)) <=> v84(constB79))) | (~v204(constB79)) | (~v84(constB79))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37461,plain,
% 7.78/5.98 ((~((~v204(constB79)) <=> v84(constB79))) | (~v204(constB79))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37460, 37459])).
% 7.78/5.98 tff(37462,plain,
% 7.78/5.98 (~v204(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37461, 37399])).
% 7.78/5.98 tff(37463,plain,
% 7.78/5.98 (((~v185(constB79)) | (~v204(constB79))) | v204(constB79)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37464,plain,
% 7.78/5.98 ((~v185(constB79)) | (~v204(constB79))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37463, 37462])).
% 7.78/5.98 tff(37465,plain,
% 7.78/5.98 ((~(v203(constB79) <=> (~((~v185(constB79)) | (~v204(constB79)))))) | (~v203(constB79)) | (~((~v185(constB79)) | (~v204(constB79))))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37466,plain,
% 7.78/5.98 (~v203(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37465, 37464, 37397])).
% 7.78/5.98 tff(37467,plain,
% 7.78/5.98 (((~v183(constB79)) | (~v203(constB79))) | v203(constB79)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37468,plain,
% 7.78/5.98 ((~v183(constB79)) | (~v203(constB79))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37467, 37466])).
% 7.78/5.98 tff(37469,plain,
% 7.78/5.98 ((~(v202(constB79) <=> (~((~v183(constB79)) | (~v203(constB79)))))) | (~v202(constB79)) | (~((~v183(constB79)) | (~v203(constB79))))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37470,plain,
% 7.78/5.98 (~v202(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37469, 37468, 37390])).
% 7.78/5.98 tff(37471,plain,
% 7.78/5.98 (((~v157(constB79)) | (~v202(constB79))) | v202(constB79)),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37472,plain,
% 7.78/5.98 ((~v157(constB79)) | (~v202(constB79))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37471, 37470])).
% 7.78/5.98 tff(37473,plain,
% 7.78/5.98 ((~(v201(constB79) <=> (~((~v157(constB79)) | (~v202(constB79)))))) | (~v201(constB79)) | (~((~v157(constB79)) | (~v202(constB79))))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37474,plain,
% 7.78/5.98 (~v201(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37473, 37472, 37388])).
% 7.78/5.98 tff(37475,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB79) <=> (~((~v159(constB79)) | (~v202(constB79)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB79) <=> (~((~v159(constB79)) | (~v202(constB79))))))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37476,plain,
% 7.78/5.98 ((v205(constB79) <=> (~((~v202(constB79)) | (~v159(constB79))))) <=> (v205(constB79) <=> (~((~v159(constB79)) | (~v202(constB79)))))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37477,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB79) <=> (~((~v202(constB79)) | (~v159(constB79)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB79) <=> (~((~v159(constB79)) | (~v202(constB79))))))),
% 7.78/5.98 inference(monotonicity,[status(thm)],[37476])).
% 7.78/5.98 tff(37478,plain,
% 7.78/5.98 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB79) <=> (~((~v202(constB79)) | (~v159(constB79)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB79) <=> (~((~v159(constB79)) | (~v202(constB79))))))),
% 7.78/5.98 inference(transitivity,[status(thm)],[37477, 37475])).
% 7.78/5.98 tff(37479,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB79) <=> (~((~v202(constB79)) | (~v159(constB79)))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37480,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB79) <=> (~((~v159(constB79)) | (~v202(constB79)))))),
% 7.78/5.98 inference(modus_ponens,[status(thm)],[37479, 37478])).
% 7.78/5.98 tff(37481,plain,
% 7.78/5.98 (v205(constB79) <=> (~((~v159(constB79)) | (~v202(constB79))))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37480, 138])).
% 7.78/5.98 tff(37482,plain,
% 7.78/5.98 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB79) <=> v182(constB79))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37483,plain,
% 7.78/5.98 (v159(constB79) <=> v182(constB79)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37482, 15113])).
% 7.78/5.98 tff(37484,plain,
% 7.78/5.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB78, constB79)) | (v182(constB79) <=> v180(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB78, constB79)) | (v182(constB79) <=> v180(constB78)))),
% 7.78/5.98 inference(rewrite,[status(thm)],[])).
% 7.78/5.98 tff(37485,plain,
% 7.78/5.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB78, constB79)) | (v182(constB79) <=> v180(constB78)))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37486,plain,
% 7.78/5.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB78, constB79)) | (v182(constB79) <=> v180(constB78))),
% 7.78/5.98 inference(modus_ponens,[status(thm)],[37485, 37484])).
% 7.78/5.98 tff(37487,plain,
% 7.78/5.98 (v182(constB79) <=> v180(constB78)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37486, 2013, 15125])).
% 7.78/5.98 tff(37488,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB78) <=> (~((~v183(constB78)) | (~v184(constB78)))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37489,plain,
% 7.78/5.98 (v180(constB78) <=> (~((~v183(constB78)) | (~v184(constB78))))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37488, 15139])).
% 7.78/5.98 tff(37490,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB78) <=> (~((~v185(constB78)) | (~v161(constB78)))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37491,plain,
% 7.78/5.98 (v184(constB78) <=> (~((~v185(constB78)) | (~v161(constB78))))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37490, 15151])).
% 7.78/5.98 tff(37492,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37493,plain,
% 7.78/5.98 (v185(constB78) <=> (~((~v39(constB78)) | (~v9(constB78))))),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37492, 93])).
% 7.78/5.98 tff(37494,plain,
% 7.78/5.98 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB78)) <=> v1(constB78))),
% 7.78/5.98 inference(quant_inst,[status(thm)],[])).
% 7.78/5.98 tff(37495,plain,
% 7.78/5.98 ((~v39(constB78)) <=> v1(constB78)),
% 7.78/5.98 inference(unit_resolution,[status(thm)],[37494, 102])).
% 7.78/5.98 tff(37496,plain,
% 7.78/5.98 ((~((~v39(constB78)) <=> v1(constB78))) | (~v39(constB78)) | (~v1(constB78))),
% 7.78/5.98 inference(tautology,[status(thm)],[])).
% 7.78/5.98 tff(37497,plain,
% 7.78/5.98 ((~((~v39(constB78)) <=> v1(constB78))) | (~v39(constB78))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37496, 10908])).
% 7.78/5.99 tff(37498,plain,
% 7.78/5.99 (~v39(constB78)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37497, 37495])).
% 7.78/5.99 tff(37499,plain,
% 7.78/5.99 (((~v39(constB78)) | (~v9(constB78))) | v39(constB78)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37500,plain,
% 7.78/5.99 ((~v39(constB78)) | (~v9(constB78))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37499, 37498])).
% 7.78/5.99 tff(37501,plain,
% 7.78/5.99 ((~(v185(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))) | (~v185(constB78)) | (~((~v39(constB78)) | (~v9(constB78))))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37502,plain,
% 7.78/5.99 ((~(v185(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))) | (~v185(constB78))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37501, 37500])).
% 7.78/5.99 tff(37503,plain,
% 7.78/5.99 (~v185(constB78)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37502, 37493])).
% 7.78/5.99 tff(37504,plain,
% 7.78/5.99 (((~v185(constB78)) | (~v161(constB78))) | v185(constB78)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37505,plain,
% 7.78/5.99 ((~v185(constB78)) | (~v161(constB78))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37504, 37503])).
% 7.78/5.99 tff(37506,plain,
% 7.78/5.99 ((~(v184(constB78) <=> (~((~v185(constB78)) | (~v161(constB78)))))) | (~v184(constB78)) | (~((~v185(constB78)) | (~v161(constB78))))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37507,plain,
% 7.78/5.99 ((~(v184(constB78) <=> (~((~v185(constB78)) | (~v161(constB78)))))) | (~v184(constB78))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37506, 37505])).
% 7.78/5.99 tff(37508,plain,
% 7.78/5.99 (~v184(constB78)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37507, 37491])).
% 7.78/5.99 tff(37509,plain,
% 7.78/5.99 (((~v183(constB78)) | (~v184(constB78))) | v184(constB78)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37510,plain,
% 7.78/5.99 ((~v183(constB78)) | (~v184(constB78))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37509, 37508])).
% 7.78/5.99 tff(37511,plain,
% 7.78/5.99 ((~(v180(constB78) <=> (~((~v183(constB78)) | (~v184(constB78)))))) | (~v180(constB78)) | (~((~v183(constB78)) | (~v184(constB78))))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37512,plain,
% 7.78/5.99 (~v180(constB78)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37511, 37510, 37489])).
% 7.78/5.99 tff(37513,plain,
% 7.78/5.99 ((~(v182(constB79) <=> v180(constB78))) | (~v182(constB79)) | v180(constB78)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37514,plain,
% 7.78/5.99 (~v182(constB79)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37513, 37512, 37487])).
% 7.78/5.99 tff(37515,plain,
% 7.78/5.99 ((~(v159(constB79) <=> v182(constB79))) | (~v159(constB79)) | v182(constB79)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37516,plain,
% 7.78/5.99 (~v159(constB79)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37515, 37514, 37483])).
% 7.78/5.99 tff(37517,plain,
% 7.78/5.99 (((~v159(constB79)) | (~v202(constB79))) | v159(constB79)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37518,plain,
% 7.78/5.99 ((~v159(constB79)) | (~v202(constB79))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37517, 37516])).
% 7.78/5.99 tff(37519,plain,
% 7.78/5.99 ((~(v205(constB79) <=> (~((~v159(constB79)) | (~v202(constB79)))))) | (~v205(constB79)) | (~((~v159(constB79)) | (~v202(constB79))))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37520,plain,
% 7.78/5.99 (~v205(constB79)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37519, 37518, 37481])).
% 7.78/5.99 tff(37521,plain,
% 7.78/5.99 ((~(v201(constB79) | v205(constB79))) | v201(constB79) | v205(constB79)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37522,plain,
% 7.78/5.99 ((~(v201(constB79) | v205(constB79))) | v201(constB79)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37521, 37520])).
% 7.78/5.99 tff(37523,plain,
% 7.78/5.99 (~(v201(constB79) | v205(constB79))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37522, 37474])).
% 7.78/5.99 tff(37524,plain,
% 7.78/5.99 ((~(v200(constB79) <=> (v201(constB79) | v205(constB79)))) | (~v200(constB79)) | (v201(constB79) | v205(constB79))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37525,plain,
% 7.78/5.99 (~v200(constB79)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37524, 37523, 37381])).
% 7.78/5.99 tff(37526,plain,
% 7.78/5.99 ($false),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37525, 37379])).
% 7.78/5.99 tff(37527,plain,(~(constB79 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/5.99 tff(37528,assumption,(constB23 = VarCurr!0), introduced(assumption)).
% 7.78/5.99 tff(37529,plain,
% 7.78/5.99 (v200(constB23) <=> v200(VarCurr!0)),
% 7.78/5.99 inference(monotonicity,[status(thm)],[37528])).
% 7.78/5.99 tff(37530,plain,
% 7.78/5.99 (v200(VarCurr!0) <=> v200(constB23)),
% 7.78/5.99 inference(symmetry,[status(thm)],[37529])).
% 7.78/5.99 tff(37531,plain,
% 7.78/5.99 (v200(constB23)),
% 7.78/5.99 inference(modus_ponens,[status(thm)],[27, 37530])).
% 7.78/5.99 tff(37532,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB23) <=> (v201(constB23) | v205(constB23)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37533,plain,
% 7.78/5.99 (v200(constB23) <=> (v201(constB23) | v205(constB23))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37532, 35])).
% 7.78/5.99 tff(37534,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB23) <=> (~((~v157(constB23)) | (~v202(constB23)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB23) <=> (~((~v157(constB23)) | (~v202(constB23))))))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37535,plain,
% 7.78/5.99 ((v201(constB23) <=> (~((~v202(constB23)) | (~v157(constB23))))) <=> (v201(constB23) <=> (~((~v157(constB23)) | (~v202(constB23)))))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37536,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB23) <=> (~((~v202(constB23)) | (~v157(constB23)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB23) <=> (~((~v157(constB23)) | (~v202(constB23))))))),
% 7.78/5.99 inference(monotonicity,[status(thm)],[37535])).
% 7.78/5.99 tff(37537,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB23) <=> (~((~v202(constB23)) | (~v157(constB23)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB23) <=> (~((~v157(constB23)) | (~v202(constB23))))))),
% 7.78/5.99 inference(transitivity,[status(thm)],[37536, 37534])).
% 7.78/5.99 tff(37538,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB23) <=> (~((~v202(constB23)) | (~v157(constB23)))))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37539,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB23) <=> (~((~v157(constB23)) | (~v202(constB23)))))),
% 7.78/5.99 inference(modus_ponens,[status(thm)],[37538, 37537])).
% 7.78/5.99 tff(37540,plain,
% 7.78/5.99 (v201(constB23) <=> (~((~v157(constB23)) | (~v202(constB23))))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37539, 47])).
% 7.78/5.99 tff(37541,plain,
% 7.78/5.99 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB23) <=> v192(constB23))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37542,plain,
% 7.78/5.99 (v157(constB23) <=> v192(constB23)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37541, 15407])).
% 7.78/5.99 tff(37543,plain,
% 7.78/5.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB22, constB23)) | (v192(constB23) <=> v190(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB22, constB23)) | (v192(constB23) <=> v190(constB22)))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37544,plain,
% 7.78/5.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB22, constB23)) | (v192(constB23) <=> v190(constB22)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37545,plain,
% 7.78/5.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB22, constB23)) | (v192(constB23) <=> v190(constB22))),
% 7.78/5.99 inference(modus_ponens,[status(thm)],[37544, 37543])).
% 7.78/5.99 tff(37546,plain,
% 7.78/5.99 (v192(constB23) <=> v190(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37545, 3801, 15419])).
% 7.78/5.99 tff(37547,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB22) <=> (v193(constB22) | v196(constB22)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37548,plain,
% 7.78/5.99 (v190(constB22) <=> (v193(constB22) | v196(constB22))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37547, 15430])).
% 7.78/5.99 tff(37549,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB22) <=> (~((~v157(constB22)) | (~v194(constB22)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB22) <=> (~((~v157(constB22)) | (~v194(constB22))))))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37550,plain,
% 7.78/5.99 ((v193(constB22) <=> (~((~v194(constB22)) | (~v157(constB22))))) <=> (v193(constB22) <=> (~((~v157(constB22)) | (~v194(constB22)))))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37551,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB22) <=> (~((~v194(constB22)) | (~v157(constB22)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB22) <=> (~((~v157(constB22)) | (~v194(constB22))))))),
% 7.78/5.99 inference(monotonicity,[status(thm)],[37550])).
% 7.78/5.99 tff(37552,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB22) <=> (~((~v194(constB22)) | (~v157(constB22)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB22) <=> (~((~v157(constB22)) | (~v194(constB22))))))),
% 7.78/5.99 inference(transitivity,[status(thm)],[37551, 37549])).
% 7.78/5.99 tff(37553,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB22) <=> (~((~v194(constB22)) | (~v157(constB22)))))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37554,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB22) <=> (~((~v157(constB22)) | (~v194(constB22)))))),
% 7.78/5.99 inference(modus_ponens,[status(thm)],[37553, 37552])).
% 7.78/5.99 tff(37555,plain,
% 7.78/5.99 (v193(constB22) <=> (~((~v157(constB22)) | (~v194(constB22))))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37554, 15442])).
% 7.78/5.99 tff(37556,plain,
% 7.78/5.99 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB22) <=> v192(constB22))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37557,plain,
% 7.78/5.99 (v157(constB22) <=> v192(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37556, 15407])).
% 7.78/5.99 tff(37558,plain,
% 7.78/5.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB21, constB22)) | (v192(constB22) <=> v190(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB21, constB22)) | (v192(constB22) <=> v190(constB21)))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37559,plain,
% 7.78/5.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB21, constB22)) | (v192(constB22) <=> v190(constB21)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37560,plain,
% 7.78/5.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB21, constB22)) | (v192(constB22) <=> v190(constB21))),
% 7.78/5.99 inference(modus_ponens,[status(thm)],[37559, 37558])).
% 7.78/5.99 tff(37561,plain,
% 7.78/5.99 (v192(constB22) <=> v190(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37560, 3837, 15419])).
% 7.78/5.99 tff(37562,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB21) <=> (v193(constB21) | v196(constB21)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37563,plain,
% 7.78/5.99 (v190(constB21) <=> (v193(constB21) | v196(constB21))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37562, 15430])).
% 7.78/5.99 tff(37564,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB21) <=> (~((~v159(constB21)) | (~v194(constB21)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB21) <=> (~((~v159(constB21)) | (~v194(constB21))))))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37565,plain,
% 7.78/5.99 ((v196(constB21) <=> (~((~v194(constB21)) | (~v159(constB21))))) <=> (v196(constB21) <=> (~((~v159(constB21)) | (~v194(constB21)))))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37566,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB21) <=> (~((~v194(constB21)) | (~v159(constB21)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB21) <=> (~((~v159(constB21)) | (~v194(constB21))))))),
% 7.78/5.99 inference(monotonicity,[status(thm)],[37565])).
% 7.78/5.99 tff(37567,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB21) <=> (~((~v194(constB21)) | (~v159(constB21)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB21) <=> (~((~v159(constB21)) | (~v194(constB21))))))),
% 7.78/5.99 inference(transitivity,[status(thm)],[37566, 37564])).
% 7.78/5.99 tff(37568,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB21) <=> (~((~v194(constB21)) | (~v159(constB21)))))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37569,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB21) <=> (~((~v159(constB21)) | (~v194(constB21)))))),
% 7.78/5.99 inference(modus_ponens,[status(thm)],[37568, 37567])).
% 7.78/5.99 tff(37570,plain,
% 7.78/5.99 (v196(constB21) <=> (~((~v159(constB21)) | (~v194(constB21))))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37569, 15467])).
% 7.78/5.99 tff(37571,plain,
% 7.78/5.99 (((~v159(constB21)) | (~v194(constB21))) | v159(constB21)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37572,plain,
% 7.78/5.99 ((~v159(constB21)) | (~v194(constB21))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37571, 35898])).
% 7.78/5.99 tff(37573,plain,
% 7.78/5.99 ((~(v196(constB21) <=> (~((~v159(constB21)) | (~v194(constB21)))))) | (~v196(constB21)) | (~((~v159(constB21)) | (~v194(constB21))))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37574,plain,
% 7.78/5.99 (~v196(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37573, 37572, 37570])).
% 7.78/5.99 tff(37575,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB21) <=> (~((~v157(constB21)) | (~v194(constB21)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB21) <=> (~((~v157(constB21)) | (~v194(constB21))))))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37576,plain,
% 7.78/5.99 ((v193(constB21) <=> (~((~v194(constB21)) | (~v157(constB21))))) <=> (v193(constB21) <=> (~((~v157(constB21)) | (~v194(constB21)))))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37577,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB21) <=> (~((~v194(constB21)) | (~v157(constB21)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB21) <=> (~((~v157(constB21)) | (~v194(constB21))))))),
% 7.78/5.99 inference(monotonicity,[status(thm)],[37576])).
% 7.78/5.99 tff(37578,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB21) <=> (~((~v194(constB21)) | (~v157(constB21)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB21) <=> (~((~v157(constB21)) | (~v194(constB21))))))),
% 7.78/5.99 inference(transitivity,[status(thm)],[37577, 37575])).
% 7.78/5.99 tff(37579,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB21) <=> (~((~v194(constB21)) | (~v157(constB21)))))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37580,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB21) <=> (~((~v157(constB21)) | (~v194(constB21)))))),
% 7.78/5.99 inference(modus_ponens,[status(thm)],[37579, 37578])).
% 7.78/5.99 tff(37581,plain,
% 7.78/5.99 (v193(constB21) <=> (~((~v157(constB21)) | (~v194(constB21))))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37580, 15442])).
% 7.78/5.99 tff(37582,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB21)) <=> v195(constB21))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37583,plain,
% 7.78/5.99 ((~v194(constB21)) <=> v195(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37582, 15527])).
% 7.78/5.99 tff(37584,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB21) <=> (v185(constB21) | v26(constB21)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37585,plain,
% 7.78/5.99 (v195(constB21) <=> (v185(constB21) | v26(constB21))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37584, 15536])).
% 7.78/5.99 tff(37586,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB21) <=> (~((~v39(constB21)) | (~v9(constB21)))))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37587,plain,
% 7.78/5.99 (v185(constB21) <=> (~((~v39(constB21)) | (~v9(constB21))))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37586, 93])).
% 7.78/5.99 tff(37588,plain,
% 7.78/5.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21)))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37589,plain,
% 7.78/5.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37590,plain,
% 7.78/5.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21))),
% 7.78/5.99 inference(modus_ponens,[status(thm)],[37589, 37588])).
% 7.78/5.99 tff(37591,plain,
% 7.78/5.99 (v13(constB22) <=> v9(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37590, 3837, 15550])).
% 7.78/5.99 tff(37592,plain,
% 7.78/5.99 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB22) <=> v13(constB22))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37593,plain,
% 7.78/5.99 (v6(constB22) <=> v13(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37592, 15564])).
% 7.78/5.99 tff(37594,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB22)) <=> v6(constB22))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37595,plain,
% 7.78/5.99 ((~v21(constB22)) <=> v6(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37594, 15573])).
% 7.78/5.99 tff(37596,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB22) <=> (v20(constB22) | v21(constB22)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37597,plain,
% 7.78/5.99 (v19(constB22) <=> (v20(constB22) | v21(constB22))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37596, 15582])).
% 7.78/5.99 tff(37598,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22)))))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37599,plain,
% 7.78/5.99 (v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22))))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37598, 15594])).
% 7.78/5.99 tff(37600,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB22)) <=> v18(constB22))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37601,plain,
% 7.78/5.99 ((~v4(constB22)) <=> v18(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37600, 15603])).
% 7.78/5.99 tff(37602,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB22)),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37603,plain,
% 7.78/5.99 (v4(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37602, 15612])).
% 7.78/5.99 tff(37604,plain,
% 7.78/5.99 ((~((~v4(constB22)) <=> v18(constB22))) | (~v4(constB22)) | (~v18(constB22))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37605,plain,
% 7.78/5.99 (~v18(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37604, 37603, 37601])).
% 7.78/5.99 tff(37606,plain,
% 7.78/5.99 ((~(v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22)))))) | v18(constB22) | ((~v19(constB22)) | (~v22(constB22)))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37607,plain,
% 7.78/5.99 ((~v19(constB22)) | (~v22(constB22))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37606, 37605, 37599])).
% 7.78/5.99 tff(37608,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB22) <=> (v1(constB22) | v6(constB22)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37609,plain,
% 7.78/5.99 (v22(constB22) <=> (v1(constB22) | v6(constB22))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37608, 15625])).
% 7.78/5.99 tff(37610,plain,
% 7.78/5.99 ((v1(constB22) | v6(constB22)) | (~v1(constB22))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37611,plain,
% 7.78/5.99 (v1(constB22) | v6(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37610, 6427])).
% 7.78/5.99 tff(37612,plain,
% 7.78/5.99 ((~(v22(constB22) <=> (v1(constB22) | v6(constB22)))) | v22(constB22) | (~(v1(constB22) | v6(constB22)))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37613,plain,
% 7.78/5.99 ((~(v22(constB22) <=> (v1(constB22) | v6(constB22)))) | v22(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37612, 37611])).
% 7.78/5.99 tff(37614,plain,
% 7.78/5.99 (v22(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37613, 37609])).
% 7.78/5.99 tff(37615,plain,
% 7.78/5.99 ((~((~v19(constB22)) | (~v22(constB22)))) | (~v19(constB22)) | (~v22(constB22))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37616,plain,
% 7.78/5.99 ((~((~v19(constB22)) | (~v22(constB22)))) | (~v19(constB22))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37615, 37614])).
% 7.78/5.99 tff(37617,plain,
% 7.78/5.99 (~v19(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37616, 37607])).
% 7.78/5.99 tff(37618,plain,
% 7.78/5.99 ((~(v19(constB22) <=> (v20(constB22) | v21(constB22)))) | v19(constB22) | (~(v20(constB22) | v21(constB22)))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37619,plain,
% 7.78/5.99 (~(v20(constB22) | v21(constB22))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37618, 37617, 37597])).
% 7.78/5.99 tff(37620,plain,
% 7.78/5.99 ((v20(constB22) | v21(constB22)) | (~v21(constB22))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37621,plain,
% 7.78/5.99 (~v21(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37620, 37619])).
% 7.78/5.99 tff(37622,plain,
% 7.78/5.99 ((~((~v21(constB22)) <=> v6(constB22))) | v21(constB22) | v6(constB22)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37623,plain,
% 7.78/5.99 (v6(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37622, 37621, 37595])).
% 7.78/5.99 tff(37624,plain,
% 7.78/5.99 ((~(v6(constB22) <=> v13(constB22))) | (~v6(constB22)) | v13(constB22)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37625,plain,
% 7.78/5.99 (v13(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37624, 37623, 37593])).
% 7.78/5.99 tff(37626,plain,
% 7.78/5.99 ((~(v13(constB22) <=> v9(constB21))) | (~v13(constB22)) | v9(constB21)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37627,plain,
% 7.78/5.99 (v9(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37626, 37625, 37591])).
% 7.78/5.99 tff(37628,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB21)) <=> v1(constB21))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37629,plain,
% 7.78/5.99 ((~v39(constB21)) <=> v1(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37628, 102])).
% 7.78/5.99 tff(37630,plain,
% 7.78/5.99 ((~((~v39(constB21)) <=> v1(constB21))) | v39(constB21) | v1(constB21)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37631,plain,
% 7.78/5.99 ((~((~v39(constB21)) <=> v1(constB21))) | v39(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37630, 3881])).
% 7.78/5.99 tff(37632,plain,
% 7.78/5.99 (v39(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37631, 37629])).
% 7.78/5.99 tff(37633,plain,
% 7.78/5.99 ((~((~v39(constB21)) | (~v9(constB21)))) | (~v39(constB21)) | (~v9(constB21))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37634,plain,
% 7.78/5.99 ((~((~v39(constB21)) | (~v9(constB21)))) | (~v9(constB21))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37633, 37632])).
% 7.78/5.99 tff(37635,plain,
% 7.78/5.99 (~((~v39(constB21)) | (~v9(constB21)))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37634, 37627])).
% 7.78/5.99 tff(37636,plain,
% 7.78/5.99 ((~(v185(constB21) <=> (~((~v39(constB21)) | (~v9(constB21)))))) | v185(constB21) | ((~v39(constB21)) | (~v9(constB21)))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37637,plain,
% 7.78/5.99 (v185(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37636, 37635, 37587])).
% 7.78/5.99 tff(37638,plain,
% 7.78/5.99 ((v185(constB21) | v26(constB21)) | (~v185(constB21))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37639,plain,
% 7.78/5.99 (v185(constB21) | v26(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37638, 37637])).
% 7.78/5.99 tff(37640,plain,
% 7.78/5.99 ((~(v195(constB21) <=> (v185(constB21) | v26(constB21)))) | v195(constB21) | (~(v185(constB21) | v26(constB21)))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37641,plain,
% 7.78/5.99 (v195(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37640, 37639, 37585])).
% 7.78/5.99 tff(37642,plain,
% 7.78/5.99 ((~((~v194(constB21)) <=> v195(constB21))) | (~v194(constB21)) | (~v195(constB21))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37643,plain,
% 7.78/5.99 (~v194(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37642, 37641, 37583])).
% 7.78/5.99 tff(37644,plain,
% 7.78/5.99 (((~v157(constB21)) | (~v194(constB21))) | v194(constB21)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37645,plain,
% 7.78/5.99 ((~v157(constB21)) | (~v194(constB21))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37644, 37643])).
% 7.78/5.99 tff(37646,plain,
% 7.78/5.99 ((~(v193(constB21) <=> (~((~v157(constB21)) | (~v194(constB21)))))) | (~v193(constB21)) | (~((~v157(constB21)) | (~v194(constB21))))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37647,plain,
% 7.78/5.99 (~v193(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37646, 37645, 37581])).
% 7.78/5.99 tff(37648,plain,
% 7.78/5.99 ((~(v193(constB21) | v196(constB21))) | v193(constB21) | v196(constB21)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37649,plain,
% 7.78/5.99 (~(v193(constB21) | v196(constB21))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37648, 37647, 37574])).
% 7.78/5.99 tff(37650,plain,
% 7.78/5.99 ((~(v190(constB21) <=> (v193(constB21) | v196(constB21)))) | (~v190(constB21)) | (v193(constB21) | v196(constB21))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37651,plain,
% 7.78/5.99 (~v190(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37650, 37649, 37563])).
% 7.78/5.99 tff(37652,plain,
% 7.78/5.99 ((~(v192(constB22) <=> v190(constB21))) | (~v192(constB22)) | v190(constB21)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37653,plain,
% 7.78/5.99 (~v192(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37652, 37651, 37561])).
% 7.78/5.99 tff(37654,plain,
% 7.78/5.99 ((~(v157(constB22) <=> v192(constB22))) | (~v157(constB22)) | v192(constB22)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37655,plain,
% 7.78/5.99 (~v157(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37654, 37653, 37557])).
% 7.78/5.99 tff(37656,plain,
% 7.78/5.99 (((~v157(constB22)) | (~v194(constB22))) | v157(constB22)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37657,plain,
% 7.78/5.99 ((~v157(constB22)) | (~v194(constB22))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37656, 37655])).
% 7.78/5.99 tff(37658,plain,
% 7.78/5.99 ((~(v193(constB22) <=> (~((~v157(constB22)) | (~v194(constB22)))))) | (~v193(constB22)) | (~((~v157(constB22)) | (~v194(constB22))))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37659,plain,
% 7.78/5.99 (~v193(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37658, 37657, 37555])).
% 7.78/5.99 tff(37660,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB22) <=> (~((~v159(constB22)) | (~v194(constB22)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB22) <=> (~((~v159(constB22)) | (~v194(constB22))))))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37661,plain,
% 7.78/5.99 ((v196(constB22) <=> (~((~v194(constB22)) | (~v159(constB22))))) <=> (v196(constB22) <=> (~((~v159(constB22)) | (~v194(constB22)))))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37662,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB22) <=> (~((~v194(constB22)) | (~v159(constB22)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB22) <=> (~((~v159(constB22)) | (~v194(constB22))))))),
% 7.78/5.99 inference(monotonicity,[status(thm)],[37661])).
% 7.78/5.99 tff(37663,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB22) <=> (~((~v194(constB22)) | (~v159(constB22)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB22) <=> (~((~v159(constB22)) | (~v194(constB22))))))),
% 7.78/5.99 inference(transitivity,[status(thm)],[37662, 37660])).
% 7.78/5.99 tff(37664,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB22) <=> (~((~v194(constB22)) | (~v159(constB22)))))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37665,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB22) <=> (~((~v159(constB22)) | (~v194(constB22)))))),
% 7.78/5.99 inference(modus_ponens,[status(thm)],[37664, 37663])).
% 7.78/5.99 tff(37666,plain,
% 7.78/5.99 (v196(constB22) <=> (~((~v159(constB22)) | (~v194(constB22))))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37665, 15467])).
% 7.78/5.99 tff(37667,plain,
% 7.78/5.99 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB22) <=> v182(constB22))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37668,plain,
% 7.78/5.99 (v159(constB22) <=> v182(constB22)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37667, 15113])).
% 7.78/5.99 tff(37669,plain,
% 7.78/5.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB21, constB22)) | (v182(constB22) <=> v180(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB21, constB22)) | (v182(constB22) <=> v180(constB21)))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37670,plain,
% 7.78/5.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB21, constB22)) | (v182(constB22) <=> v180(constB21)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37671,plain,
% 7.78/5.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB21, constB22)) | (v182(constB22) <=> v180(constB21))),
% 7.78/5.99 inference(modus_ponens,[status(thm)],[37670, 37669])).
% 7.78/5.99 tff(37672,plain,
% 7.78/5.99 (v182(constB22) <=> v180(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37671, 3837, 15125])).
% 7.78/5.99 tff(37673,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB21) <=> (~((~v183(constB21)) | (~v184(constB21)))))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37674,plain,
% 7.78/5.99 (v180(constB21) <=> (~((~v183(constB21)) | (~v184(constB21))))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37673, 15139])).
% 7.78/5.99 tff(37675,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB21) <=> (~((~v185(constB21)) | (~v161(constB21)))))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37676,plain,
% 7.78/5.99 (v184(constB21) <=> (~((~v185(constB21)) | (~v161(constB21))))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37675, 15151])).
% 7.78/5.99 tff(37677,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB21) <=> v163(constB21))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37678,plain,
% 7.78/5.99 (v161(constB21) <=> v163(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37677, 15701])).
% 7.78/5.99 tff(37679,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB21) <=> (v145(constB21) | v167(constB21)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37680,plain,
% 7.78/5.99 (v166(constB21) <=> (v145(constB21) | v167(constB21))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37679, 15713])).
% 7.78/5.99 tff(37681,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB21) <=> (v142(constB21) | v168(constB21)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37682,plain,
% 7.78/5.99 (v167(constB21) <=> (v142(constB21) | v168(constB21))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37681, 15725])).
% 7.78/5.99 tff(37683,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB21) <=> (v141(constB21) | v169(constB21)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37684,plain,
% 7.78/5.99 (v168(constB21) <=> (v141(constB21) | v169(constB21))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37683, 26253])).
% 7.78/5.99 tff(37685,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB21) <=> (~((~v88(constB21, 1)) | v88(constB21, 2) | (~v88(constB21, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB21) <=> (~((~v88(constB21, 1)) | v88(constB21, 2) | (~v88(constB21, 0))))))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37686,plain,
% 7.78/5.99 ((v141(constB21) <=> (~(v88(constB21, 2) | (~v88(constB21, 1)) | (~v88(constB21, 0))))) <=> (v141(constB21) <=> (~((~v88(constB21, 1)) | v88(constB21, 2) | (~v88(constB21, 0)))))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37687,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB21) <=> (~(v88(constB21, 2) | (~v88(constB21, 1)) | (~v88(constB21, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB21) <=> (~((~v88(constB21, 1)) | v88(constB21, 2) | (~v88(constB21, 0))))))),
% 7.78/5.99 inference(monotonicity,[status(thm)],[37686])).
% 7.78/5.99 tff(37688,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB21) <=> (~(v88(constB21, 2) | (~v88(constB21, 1)) | (~v88(constB21, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB21) <=> (~((~v88(constB21, 1)) | v88(constB21, 2) | (~v88(constB21, 0))))))),
% 7.78/5.99 inference(transitivity,[status(thm)],[37687, 37685])).
% 7.78/5.99 tff(37689,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB21) <=> (~(v88(constB21, 2) | (~v88(constB21, 1)) | (~v88(constB21, 0)))))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37690,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB21) <=> (~((~v88(constB21, 1)) | v88(constB21, 2) | (~v88(constB21, 0)))))),
% 7.78/5.99 inference(modus_ponens,[status(thm)],[37689, 37688])).
% 7.78/5.99 tff(37691,plain,
% 7.78/5.99 (v141(constB21) <=> (~((~v88(constB21, 1)) | v88(constB21, 2) | (~v88(constB21, 0))))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37690, 26268])).
% 7.78/5.99 tff(37692,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB21, 1)) <=> v90(constB21, 1)) | ((~v88(constB21, 2)) <=> v90(constB21, 2)) | ((~v88(constB21, 0)) <=> v90(constB21, 0))))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37693,plain,
% 7.78/5.99 (~(((~v88(constB21, 1)) <=> v90(constB21, 1)) | ((~v88(constB21, 2)) <=> v90(constB21, 2)) | ((~v88(constB21, 0)) <=> v90(constB21, 0)))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37692, 256])).
% 7.78/5.99 tff(37694,plain,
% 7.78/5.99 ((((~v88(constB21, 1)) <=> v90(constB21, 1)) | ((~v88(constB21, 2)) <=> v90(constB21, 2)) | ((~v88(constB21, 0)) <=> v90(constB21, 0))) | (~((~v88(constB21, 2)) <=> v90(constB21, 2)))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37695,plain,
% 7.78/5.99 (~((~v88(constB21, 2)) <=> v90(constB21, 2))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37694, 37693])).
% 7.78/5.99 tff(37696,plain,
% 7.78/5.99 (((~v88(constB21, 2)) <=> v90(constB21, 2)) | (~v88(constB21, 2)) | v90(constB21, 2)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37697,plain,
% 7.78/5.99 (~v88(constB21, 2)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37696, 6346, 37695])).
% 7.78/5.99 tff(37698,plain,
% 7.78/5.99 ((((~v88(constB21, 1)) <=> v90(constB21, 1)) | ((~v88(constB21, 2)) <=> v90(constB21, 2)) | ((~v88(constB21, 0)) <=> v90(constB21, 0))) | (~((~v88(constB21, 0)) <=> v90(constB21, 0)))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37699,plain,
% 7.78/5.99 (~((~v88(constB21, 0)) <=> v90(constB21, 0))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37698, 37693])).
% 7.78/5.99 tff(37700,plain,
% 7.78/5.99 (((~v88(constB21, 0)) <=> v90(constB21, 0)) | v88(constB21, 0) | (~v90(constB21, 0))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37701,plain,
% 7.78/5.99 (v88(constB21, 0)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37700, 6364, 37699])).
% 7.78/5.99 tff(37702,plain,
% 7.78/5.99 ((((~v88(constB21, 1)) <=> v90(constB21, 1)) | ((~v88(constB21, 2)) <=> v90(constB21, 2)) | ((~v88(constB21, 0)) <=> v90(constB21, 0))) | (~((~v88(constB21, 1)) <=> v90(constB21, 1)))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37703,plain,
% 7.78/5.99 (~((~v88(constB21, 1)) <=> v90(constB21, 1))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37702, 37693])).
% 7.78/5.99 tff(37704,plain,
% 7.78/5.99 (((~v88(constB21, 1)) <=> v90(constB21, 1)) | v88(constB21, 1) | (~v90(constB21, 1))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37705,plain,
% 7.78/5.99 (v88(constB21, 1)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37704, 6382, 37703])).
% 7.78/5.99 tff(37706,plain,
% 7.78/5.99 ((~((~v88(constB21, 1)) | v88(constB21, 2) | (~v88(constB21, 0)))) | (~v88(constB21, 1)) | v88(constB21, 2) | (~v88(constB21, 0))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37707,plain,
% 7.78/5.99 (~((~v88(constB21, 1)) | v88(constB21, 2) | (~v88(constB21, 0)))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37706, 37705, 37701, 37697])).
% 7.78/5.99 tff(37708,plain,
% 7.78/5.99 ((~(v141(constB21) <=> (~((~v88(constB21, 1)) | v88(constB21, 2) | (~v88(constB21, 0)))))) | v141(constB21) | ((~v88(constB21, 1)) | v88(constB21, 2) | (~v88(constB21, 0)))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37709,plain,
% 7.78/5.99 (v141(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37708, 37707, 37691])).
% 7.78/5.99 tff(37710,plain,
% 7.78/5.99 ((v141(constB21) | v169(constB21)) | (~v141(constB21))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37711,plain,
% 7.78/5.99 (v141(constB21) | v169(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37710, 37709])).
% 7.78/5.99 tff(37712,plain,
% 7.78/5.99 ((~(v168(constB21) <=> (v141(constB21) | v169(constB21)))) | v168(constB21) | (~(v141(constB21) | v169(constB21)))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37713,plain,
% 7.78/5.99 (v168(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37712, 37711, 37684])).
% 7.78/5.99 tff(37714,plain,
% 7.78/5.99 ((v142(constB21) | v168(constB21)) | (~v168(constB21))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37715,plain,
% 7.78/5.99 (v142(constB21) | v168(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37714, 37713])).
% 7.78/5.99 tff(37716,plain,
% 7.78/5.99 ((~(v167(constB21) <=> (v142(constB21) | v168(constB21)))) | v167(constB21) | (~(v142(constB21) | v168(constB21)))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37717,plain,
% 7.78/5.99 ((~(v167(constB21) <=> (v142(constB21) | v168(constB21)))) | v167(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37716, 37715])).
% 7.78/5.99 tff(37718,plain,
% 7.78/5.99 (v167(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37717, 37682])).
% 7.78/5.99 tff(37719,plain,
% 7.78/5.99 ((v145(constB21) | v167(constB21)) | (~v167(constB21))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37720,plain,
% 7.78/5.99 (v145(constB21) | v167(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37719, 37718])).
% 7.78/5.99 tff(37721,plain,
% 7.78/5.99 ((~(v166(constB21) <=> (v145(constB21) | v167(constB21)))) | v166(constB21) | (~(v145(constB21) | v167(constB21)))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37722,plain,
% 7.78/5.99 (v166(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37721, 37720, 37680])).
% 7.78/5.99 tff(37723,plain,
% 7.78/5.99 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB21)) | (v163(constB21) <=> v170(constB21)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB21)) | (v163(constB21) <=> v170(constB21)))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37724,plain,
% 7.78/5.99 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB21)) | (v163(constB21) <=> v170(constB21)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37725,plain,
% 7.78/5.99 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB21)) | (v163(constB21) <=> v170(constB21))),
% 7.78/5.99 inference(modus_ponens,[status(thm)],[37724, 37723])).
% 7.78/5.99 tff(37726,plain,
% 7.78/5.99 ((~v166(constB21)) | (v163(constB21) <=> v170(constB21))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37725, 15777])).
% 7.78/5.99 tff(37727,plain,
% 7.78/5.99 (v163(constB21) <=> v170(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37726, 37722])).
% 7.78/5.99 tff(37728,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB21) <=> (~(v88(constB21, 0) | v88(constB21, 1) | v88(constB21, 2))))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37729,plain,
% 7.78/5.99 (v139(constB21) <=> (~(v88(constB21, 0) | v88(constB21, 1) | v88(constB21, 2)))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37728, 15795])).
% 7.78/5.99 tff(37730,plain,
% 7.78/5.99 ((v88(constB21, 0) | v88(constB21, 1) | v88(constB21, 2)) | (~v88(constB21, 1))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37731,plain,
% 7.78/5.99 (v88(constB21, 0) | v88(constB21, 1) | v88(constB21, 2)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37730, 37705])).
% 7.78/5.99 tff(37732,plain,
% 7.78/5.99 ((~(v139(constB21) <=> (~(v88(constB21, 0) | v88(constB21, 1) | v88(constB21, 2))))) | (~v139(constB21)) | (~(v88(constB21, 0) | v88(constB21, 1) | v88(constB21, 2)))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37733,plain,
% 7.78/5.99 (~v139(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37732, 37731, 37729])).
% 7.78/5.99 tff(37734,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB21) <=> (~(v88(constB21, 1) | v88(constB21, 2) | (~v88(constB21, 0)))))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37735,plain,
% 7.78/5.99 (v140(constB21) <=> (~(v88(constB21, 1) | v88(constB21, 2) | (~v88(constB21, 0))))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37734, 15814])).
% 7.78/5.99 tff(37736,plain,
% 7.78/5.99 ((v88(constB21, 1) | v88(constB21, 2) | (~v88(constB21, 0))) | (~v88(constB21, 1))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37737,plain,
% 7.78/5.99 (v88(constB21, 1) | v88(constB21, 2) | (~v88(constB21, 0))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37736, 37705])).
% 7.78/5.99 tff(37738,plain,
% 7.78/5.99 ((~(v140(constB21) <=> (~(v88(constB21, 1) | v88(constB21, 2) | (~v88(constB21, 0)))))) | (~v140(constB21)) | (~(v88(constB21, 1) | v88(constB21, 2) | (~v88(constB21, 0))))),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37739,plain,
% 7.78/5.99 (~v140(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37738, 37737, 37735])).
% 7.78/5.99 tff(37740,plain,
% 7.78/5.99 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB21) | v139(constB21) | (~v170(constB21)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB21) | v139(constB21) | (~v170(constB21)))),
% 7.78/5.99 inference(rewrite,[status(thm)],[])).
% 7.78/5.99 tff(37741,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB21) | v139(constB21) | (~v170(constB21)))),
% 7.78/5.99 inference(quant_inst,[status(thm)],[])).
% 7.78/5.99 tff(37742,plain,
% 7.78/5.99 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB21) | v139(constB21) | (~v170(constB21))),
% 7.78/5.99 inference(modus_ponens,[status(thm)],[37741, 37740])).
% 7.78/5.99 tff(37743,plain,
% 7.78/5.99 (v140(constB21) | v139(constB21) | (~v170(constB21))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37742, 15833])).
% 7.78/5.99 tff(37744,plain,
% 7.78/5.99 (~v170(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37743, 37739, 37733])).
% 7.78/5.99 tff(37745,plain,
% 7.78/5.99 ((~(v163(constB21) <=> v170(constB21))) | (~v163(constB21)) | v170(constB21)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37746,plain,
% 7.78/5.99 ((~(v163(constB21) <=> v170(constB21))) | (~v163(constB21))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37745, 37744])).
% 7.78/5.99 tff(37747,plain,
% 7.78/5.99 (~v163(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37746, 37727])).
% 7.78/5.99 tff(37748,plain,
% 7.78/5.99 ((~(v161(constB21) <=> v163(constB21))) | (~v161(constB21)) | v163(constB21)),
% 7.78/5.99 inference(tautology,[status(thm)],[])).
% 7.78/5.99 tff(37749,plain,
% 7.78/5.99 ((~(v161(constB21) <=> v163(constB21))) | (~v161(constB21))),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37748, 37747])).
% 7.78/5.99 tff(37750,plain,
% 7.78/5.99 (~v161(constB21)),
% 7.78/5.99 inference(unit_resolution,[status(thm)],[37749, 37678])).
% 7.78/6.00 tff(37751,plain,
% 7.78/6.00 (((~v185(constB21)) | (~v161(constB21))) | v161(constB21)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37752,plain,
% 7.78/6.00 ((~v185(constB21)) | (~v161(constB21))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37751, 37750])).
% 7.78/6.00 tff(37753,plain,
% 7.78/6.00 ((~(v184(constB21) <=> (~((~v185(constB21)) | (~v161(constB21)))))) | (~v184(constB21)) | (~((~v185(constB21)) | (~v161(constB21))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37754,plain,
% 7.78/6.00 (~v184(constB21)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37753, 37752, 37676])).
% 7.78/6.00 tff(37755,plain,
% 7.78/6.00 (((~v183(constB21)) | (~v184(constB21))) | v184(constB21)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37756,plain,
% 7.78/6.00 ((~v183(constB21)) | (~v184(constB21))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37755, 37754])).
% 7.78/6.00 tff(37757,plain,
% 7.78/6.00 ((~(v180(constB21) <=> (~((~v183(constB21)) | (~v184(constB21)))))) | (~v180(constB21)) | (~((~v183(constB21)) | (~v184(constB21))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37758,plain,
% 7.78/6.00 (~v180(constB21)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37757, 37756, 37674])).
% 7.78/6.00 tff(37759,plain,
% 7.78/6.00 ((~(v182(constB22) <=> v180(constB21))) | (~v182(constB22)) | v180(constB21)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37760,plain,
% 7.78/6.00 (~v182(constB22)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37759, 37758, 37672])).
% 7.78/6.00 tff(37761,plain,
% 7.78/6.00 ((~(v159(constB22) <=> v182(constB22))) | (~v159(constB22)) | v182(constB22)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37762,plain,
% 7.78/6.00 (~v159(constB22)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37761, 37760, 37668])).
% 7.78/6.00 tff(37763,plain,
% 7.78/6.00 (((~v159(constB22)) | (~v194(constB22))) | v159(constB22)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37764,plain,
% 7.78/6.00 ((~v159(constB22)) | (~v194(constB22))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37763, 37762])).
% 7.78/6.00 tff(37765,plain,
% 7.78/6.00 ((~(v196(constB22) <=> (~((~v159(constB22)) | (~v194(constB22)))))) | (~v196(constB22)) | (~((~v159(constB22)) | (~v194(constB22))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37766,plain,
% 7.78/6.00 (~v196(constB22)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37765, 37764, 37666])).
% 7.78/6.00 tff(37767,plain,
% 7.78/6.00 ((~(v193(constB22) | v196(constB22))) | v193(constB22) | v196(constB22)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37768,plain,
% 7.78/6.00 (~(v193(constB22) | v196(constB22))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37767, 37766, 37659])).
% 7.78/6.00 tff(37769,plain,
% 7.78/6.00 ((~(v190(constB22) <=> (v193(constB22) | v196(constB22)))) | (~v190(constB22)) | (v193(constB22) | v196(constB22))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37770,plain,
% 7.78/6.00 (~v190(constB22)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37769, 37768, 37548])).
% 7.78/6.00 tff(37771,plain,
% 7.78/6.00 ((~(v192(constB23) <=> v190(constB22))) | (~v192(constB23)) | v190(constB22)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37772,plain,
% 7.78/6.00 (~v192(constB23)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37771, 37770, 37546])).
% 7.78/6.00 tff(37773,plain,
% 7.78/6.00 ((~(v157(constB23) <=> v192(constB23))) | (~v157(constB23)) | v192(constB23)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37774,plain,
% 7.78/6.00 (~v157(constB23)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37773, 37772, 37542])).
% 7.78/6.00 tff(37775,plain,
% 7.78/6.00 (((~v157(constB23)) | (~v202(constB23))) | v157(constB23)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37776,plain,
% 7.78/6.00 ((~v157(constB23)) | (~v202(constB23))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37775, 37774])).
% 7.78/6.00 tff(37777,plain,
% 7.78/6.00 ((~(v201(constB23) <=> (~((~v157(constB23)) | (~v202(constB23)))))) | (~v201(constB23)) | (~((~v157(constB23)) | (~v202(constB23))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37778,plain,
% 7.78/6.00 (~v201(constB23)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37777, 37776, 37540])).
% 7.78/6.00 tff(37779,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB23) <=> (~((~v159(constB23)) | (~v202(constB23)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB23) <=> (~((~v159(constB23)) | (~v202(constB23))))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37780,plain,
% 7.78/6.00 ((v205(constB23) <=> (~((~v202(constB23)) | (~v159(constB23))))) <=> (v205(constB23) <=> (~((~v159(constB23)) | (~v202(constB23)))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37781,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB23) <=> (~((~v202(constB23)) | (~v159(constB23)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB23) <=> (~((~v159(constB23)) | (~v202(constB23))))))),
% 7.78/6.00 inference(monotonicity,[status(thm)],[37780])).
% 7.78/6.00 tff(37782,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB23) <=> (~((~v202(constB23)) | (~v159(constB23)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB23) <=> (~((~v159(constB23)) | (~v202(constB23))))))),
% 7.78/6.00 inference(transitivity,[status(thm)],[37781, 37779])).
% 7.78/6.00 tff(37783,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB23) <=> (~((~v202(constB23)) | (~v159(constB23)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37784,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB23) <=> (~((~v159(constB23)) | (~v202(constB23)))))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37783, 37782])).
% 7.78/6.00 tff(37785,plain,
% 7.78/6.00 (v205(constB23) <=> (~((~v159(constB23)) | (~v202(constB23))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37784, 138])).
% 7.78/6.00 tff(37786,plain,
% 7.78/6.00 (((~v159(constB23)) | (~v202(constB23))) | v159(constB23)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37787,plain,
% 7.78/6.00 ((~v159(constB23)) | (~v202(constB23))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37786, 30720])).
% 7.78/6.00 tff(37788,plain,
% 7.78/6.00 ((~(v205(constB23) <=> (~((~v159(constB23)) | (~v202(constB23)))))) | (~v205(constB23)) | (~((~v159(constB23)) | (~v202(constB23))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37789,plain,
% 7.78/6.00 (~v205(constB23)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37788, 37787, 37785])).
% 7.78/6.00 tff(37790,plain,
% 7.78/6.00 ((~(v201(constB23) | v205(constB23))) | v201(constB23) | v205(constB23)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37791,plain,
% 7.78/6.00 ((~(v201(constB23) | v205(constB23))) | v201(constB23)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37790, 37789])).
% 7.78/6.00 tff(37792,plain,
% 7.78/6.00 (~(v201(constB23) | v205(constB23))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37791, 37778])).
% 7.78/6.00 tff(37793,plain,
% 7.78/6.00 ((~(v200(constB23) <=> (v201(constB23) | v205(constB23)))) | (~v200(constB23)) | (v201(constB23) | v205(constB23))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37794,plain,
% 7.78/6.00 (~v200(constB23)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37793, 37792, 37533])).
% 7.78/6.00 tff(37795,plain,
% 7.78/6.00 ($false),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37794, 37531])).
% 7.78/6.00 tff(37796,plain,(~(constB23 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/6.00 tff(37797,assumption,(constB49 = VarCurr!0), introduced(assumption)).
% 7.78/6.00 tff(37798,plain,
% 7.78/6.00 (v200(constB49) <=> v200(VarCurr!0)),
% 7.78/6.00 inference(monotonicity,[status(thm)],[37797])).
% 7.78/6.00 tff(37799,plain,
% 7.78/6.00 (v200(VarCurr!0) <=> v200(constB49)),
% 7.78/6.00 inference(symmetry,[status(thm)],[37798])).
% 7.78/6.00 tff(37800,plain,
% 7.78/6.00 (v200(constB49)),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[27, 37799])).
% 7.78/6.00 tff(37801,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB49) <=> (v201(constB49) | v205(constB49)))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37802,plain,
% 7.78/6.00 (v200(constB49) <=> (v201(constB49) | v205(constB49))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37801, 35])).
% 7.78/6.00 tff(37803,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB49) <=> (~((~v157(constB49)) | (~v202(constB49)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB49) <=> (~((~v157(constB49)) | (~v202(constB49))))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37804,plain,
% 7.78/6.00 ((v201(constB49) <=> (~((~v202(constB49)) | (~v157(constB49))))) <=> (v201(constB49) <=> (~((~v157(constB49)) | (~v202(constB49)))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37805,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB49) <=> (~((~v202(constB49)) | (~v157(constB49)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB49) <=> (~((~v157(constB49)) | (~v202(constB49))))))),
% 7.78/6.00 inference(monotonicity,[status(thm)],[37804])).
% 7.78/6.00 tff(37806,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB49) <=> (~((~v202(constB49)) | (~v157(constB49)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB49) <=> (~((~v157(constB49)) | (~v202(constB49))))))),
% 7.78/6.00 inference(transitivity,[status(thm)],[37805, 37803])).
% 7.78/6.00 tff(37807,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB49) <=> (~((~v202(constB49)) | (~v157(constB49)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37808,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB49) <=> (~((~v157(constB49)) | (~v202(constB49)))))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37807, 37806])).
% 7.78/6.00 tff(37809,plain,
% 7.78/6.00 (v201(constB49) <=> (~((~v157(constB49)) | (~v202(constB49))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37808, 47])).
% 7.78/6.00 tff(37810,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB49) <=> (~((~v183(constB49)) | (~v203(constB49)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37811,plain,
% 7.78/6.00 (v202(constB49) <=> (~((~v183(constB49)) | (~v203(constB49))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37810, 64])).
% 7.78/6.00 tff(37812,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB49) <=> (~((~v185(constB49)) | (~v204(constB49)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB49) <=> (~((~v185(constB49)) | (~v204(constB49))))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37813,plain,
% 7.78/6.00 ((v203(constB49) <=> (~((~v204(constB49)) | (~v185(constB49))))) <=> (v203(constB49) <=> (~((~v185(constB49)) | (~v204(constB49)))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37814,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB49) <=> (~((~v204(constB49)) | (~v185(constB49)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB49) <=> (~((~v185(constB49)) | (~v204(constB49))))))),
% 7.78/6.00 inference(monotonicity,[status(thm)],[37813])).
% 7.78/6.00 tff(37815,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB49) <=> (~((~v204(constB49)) | (~v185(constB49)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB49) <=> (~((~v185(constB49)) | (~v204(constB49))))))),
% 7.78/6.00 inference(transitivity,[status(thm)],[37814, 37812])).
% 7.78/6.00 tff(37816,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB49) <=> (~((~v204(constB49)) | (~v185(constB49)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37817,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB49) <=> (~((~v185(constB49)) | (~v204(constB49)))))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37816, 37815])).
% 7.78/6.00 tff(37818,plain,
% 7.78/6.00 (v203(constB49) <=> (~((~v185(constB49)) | (~v204(constB49))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37817, 76])).
% 7.78/6.00 tff(37819,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))) | ((~v204(constB49)) <=> v84(constB49))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37820,plain,
% 7.78/6.00 ((~v204(constB49)) <=> v84(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37819, 185])).
% 7.78/6.00 tff(37821,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB49) <=> v86(constB49))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37822,plain,
% 7.78/6.00 (v84(constB49) <=> v86(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37821, 194])).
% 7.78/6.00 tff(37823,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB49) <=> (v136(constB49) | v145(constB49)))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37824,plain,
% 7.78/6.00 (v135(constB49) <=> (v136(constB49) | v145(constB49))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37823, 203])).
% 7.78/6.00 tff(37825,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB49) <=> (v137(constB49) | v142(constB49)))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37826,plain,
% 7.78/6.00 (v136(constB49) <=> (v137(constB49) | v142(constB49))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37825, 212])).
% 7.78/6.00 tff(37827,plain,
% 7.78/6.00 ((v137(constB49) | v142(constB49)) | (~v142(constB49))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37828,plain,
% 7.78/6.00 (v137(constB49) | v142(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37827, 16332])).
% 7.78/6.00 tff(37829,plain,
% 7.78/6.00 ((~(v136(constB49) <=> (v137(constB49) | v142(constB49)))) | v136(constB49) | (~(v137(constB49) | v142(constB49)))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37830,plain,
% 7.78/6.00 ((~(v136(constB49) <=> (v137(constB49) | v142(constB49)))) | v136(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37829, 37828])).
% 7.78/6.00 tff(37831,plain,
% 7.78/6.00 (v136(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37830, 37826])).
% 7.78/6.00 tff(37832,plain,
% 7.78/6.00 ((v136(constB49) | v145(constB49)) | (~v136(constB49))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37833,plain,
% 7.78/6.00 (v136(constB49) | v145(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37832, 37831])).
% 7.78/6.00 tff(37834,plain,
% 7.78/6.00 ((~(v135(constB49) <=> (v136(constB49) | v145(constB49)))) | v135(constB49) | (~(v136(constB49) | v145(constB49)))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37835,plain,
% 7.78/6.00 (v135(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37834, 37833, 37824])).
% 7.78/6.00 tff(37836,plain,
% 7.78/6.00 (((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB49)) | (v86(constB49) <=> v148(constB49)))) <=> ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB49)) | (v86(constB49) <=> v148(constB49)))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37837,plain,
% 7.78/6.00 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB49)) | (v86(constB49) <=> v148(constB49)))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37838,plain,
% 7.78/6.00 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB49)) | (v86(constB49) <=> v148(constB49))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37837, 37836])).
% 7.78/6.00 tff(37839,plain,
% 7.78/6.00 (v86(constB49) <=> v148(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37838, 15057, 37835])).
% 7.78/6.00 tff(37840,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB49) | (~v142(constB49)))) <=> ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB49) | (~v142(constB49)))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37841,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB49) | (~v142(constB49)))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37842,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB49) | (~v142(constB49))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37841, 37840])).
% 7.78/6.00 tff(37843,plain,
% 7.78/6.00 (v148(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37842, 15071, 16332])).
% 7.78/6.00 tff(37844,plain,
% 7.78/6.00 ((~(v86(constB49) <=> v148(constB49))) | v86(constB49) | (~v148(constB49))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37845,plain,
% 7.78/6.00 ((~(v86(constB49) <=> v148(constB49))) | v86(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37844, 37843])).
% 7.78/6.00 tff(37846,plain,
% 7.78/6.00 (v86(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37845, 37839])).
% 7.78/6.00 tff(37847,plain,
% 7.78/6.00 ((~(v84(constB49) <=> v86(constB49))) | v84(constB49) | (~v86(constB49))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37848,plain,
% 7.78/6.00 ((~(v84(constB49) <=> v86(constB49))) | v84(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37847, 37846])).
% 7.78/6.00 tff(37849,plain,
% 7.78/6.00 (v84(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37848, 37822])).
% 7.78/6.00 tff(37850,plain,
% 7.78/6.00 ((~((~v204(constB49)) <=> v84(constB49))) | (~v204(constB49)) | (~v84(constB49))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37851,plain,
% 7.78/6.00 ((~((~v204(constB49)) <=> v84(constB49))) | (~v204(constB49))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37850, 37849])).
% 7.78/6.00 tff(37852,plain,
% 7.78/6.00 (~v204(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37851, 37820])).
% 7.78/6.00 tff(37853,plain,
% 7.78/6.00 (((~v185(constB49)) | (~v204(constB49))) | v204(constB49)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37854,plain,
% 7.78/6.00 ((~v185(constB49)) | (~v204(constB49))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37853, 37852])).
% 7.78/6.00 tff(37855,plain,
% 7.78/6.00 ((~(v203(constB49) <=> (~((~v185(constB49)) | (~v204(constB49)))))) | (~v203(constB49)) | (~((~v185(constB49)) | (~v204(constB49))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37856,plain,
% 7.78/6.00 (~v203(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37855, 37854, 37818])).
% 7.78/6.00 tff(37857,plain,
% 7.78/6.00 (((~v183(constB49)) | (~v203(constB49))) | v203(constB49)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37858,plain,
% 7.78/6.00 ((~v183(constB49)) | (~v203(constB49))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37857, 37856])).
% 7.78/6.00 tff(37859,plain,
% 7.78/6.00 ((~(v202(constB49) <=> (~((~v183(constB49)) | (~v203(constB49)))))) | (~v202(constB49)) | (~((~v183(constB49)) | (~v203(constB49))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37860,plain,
% 7.78/6.00 (~v202(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37859, 37858, 37811])).
% 7.78/6.00 tff(37861,plain,
% 7.78/6.00 (((~v157(constB49)) | (~v202(constB49))) | v202(constB49)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37862,plain,
% 7.78/6.00 ((~v157(constB49)) | (~v202(constB49))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37861, 37860])).
% 7.78/6.00 tff(37863,plain,
% 7.78/6.00 ((~(v201(constB49) <=> (~((~v157(constB49)) | (~v202(constB49)))))) | (~v201(constB49)) | (~((~v157(constB49)) | (~v202(constB49))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37864,plain,
% 7.78/6.00 (~v201(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37863, 37862, 37809])).
% 7.78/6.00 tff(37865,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB49) <=> (~((~v159(constB49)) | (~v202(constB49)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB49) <=> (~((~v159(constB49)) | (~v202(constB49))))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37866,plain,
% 7.78/6.00 ((v205(constB49) <=> (~((~v202(constB49)) | (~v159(constB49))))) <=> (v205(constB49) <=> (~((~v159(constB49)) | (~v202(constB49)))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37867,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB49) <=> (~((~v202(constB49)) | (~v159(constB49)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB49) <=> (~((~v159(constB49)) | (~v202(constB49))))))),
% 7.78/6.00 inference(monotonicity,[status(thm)],[37866])).
% 7.78/6.00 tff(37868,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB49) <=> (~((~v202(constB49)) | (~v159(constB49)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB49) <=> (~((~v159(constB49)) | (~v202(constB49))))))),
% 7.78/6.00 inference(transitivity,[status(thm)],[37867, 37865])).
% 7.78/6.00 tff(37869,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB49) <=> (~((~v202(constB49)) | (~v159(constB49)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37870,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB49) <=> (~((~v159(constB49)) | (~v202(constB49)))))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37869, 37868])).
% 7.78/6.00 tff(37871,plain,
% 7.78/6.00 (v205(constB49) <=> (~((~v159(constB49)) | (~v202(constB49))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37870, 138])).
% 7.78/6.00 tff(37872,plain,
% 7.78/6.00 (((~v159(constB49)) | (~v202(constB49))) | v159(constB49)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37873,plain,
% 7.78/6.00 ((~v159(constB49)) | (~v202(constB49))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37872, 16189])).
% 7.78/6.00 tff(37874,plain,
% 7.78/6.00 ((~(v205(constB49) <=> (~((~v159(constB49)) | (~v202(constB49)))))) | (~v205(constB49)) | (~((~v159(constB49)) | (~v202(constB49))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37875,plain,
% 7.78/6.00 (~v205(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37874, 37873, 37871])).
% 7.78/6.00 tff(37876,plain,
% 7.78/6.00 ((~(v201(constB49) | v205(constB49))) | v201(constB49) | v205(constB49)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37877,plain,
% 7.78/6.00 ((~(v201(constB49) | v205(constB49))) | v201(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37876, 37875])).
% 7.78/6.00 tff(37878,plain,
% 7.78/6.00 (~(v201(constB49) | v205(constB49))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37877, 37864])).
% 7.78/6.00 tff(37879,plain,
% 7.78/6.00 ((~(v200(constB49) <=> (v201(constB49) | v205(constB49)))) | (~v200(constB49)) | (v201(constB49) | v205(constB49))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37880,plain,
% 7.78/6.00 (~v200(constB49)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37879, 37878, 37802])).
% 7.78/6.00 tff(37881,plain,
% 7.78/6.00 ($false),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37880, 37800])).
% 7.78/6.00 tff(37882,plain,(~(constB49 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/6.00 tff(37883,assumption,(constB148 = VarCurr!0), introduced(assumption)).
% 7.78/6.00 tff(37884,plain,
% 7.78/6.00 (v200(constB148) <=> v200(VarCurr!0)),
% 7.78/6.00 inference(monotonicity,[status(thm)],[37883])).
% 7.78/6.00 tff(37885,plain,
% 7.78/6.00 (v200(VarCurr!0) <=> v200(constB148)),
% 7.78/6.00 inference(symmetry,[status(thm)],[37884])).
% 7.78/6.00 tff(37886,plain,
% 7.78/6.00 (v200(constB148)),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[27, 37885])).
% 7.78/6.00 tff(37887,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB148) <=> (v201(constB148) | v205(constB148)))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37888,plain,
% 7.78/6.00 (v200(constB148) <=> (v201(constB148) | v205(constB148))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37887, 35])).
% 7.78/6.00 tff(37889,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB148) <=> (~((~v157(constB148)) | (~v202(constB148)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB148) <=> (~((~v157(constB148)) | (~v202(constB148))))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37890,plain,
% 7.78/6.00 ((v201(constB148) <=> (~((~v202(constB148)) | (~v157(constB148))))) <=> (v201(constB148) <=> (~((~v157(constB148)) | (~v202(constB148)))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37891,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB148) <=> (~((~v202(constB148)) | (~v157(constB148)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB148) <=> (~((~v157(constB148)) | (~v202(constB148))))))),
% 7.78/6.00 inference(monotonicity,[status(thm)],[37890])).
% 7.78/6.00 tff(37892,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB148) <=> (~((~v202(constB148)) | (~v157(constB148)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB148) <=> (~((~v157(constB148)) | (~v202(constB148))))))),
% 7.78/6.00 inference(transitivity,[status(thm)],[37891, 37889])).
% 7.78/6.00 tff(37893,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB148) <=> (~((~v202(constB148)) | (~v157(constB148)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37894,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB148) <=> (~((~v157(constB148)) | (~v202(constB148)))))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37893, 37892])).
% 7.78/6.00 tff(37895,plain,
% 7.78/6.00 (v201(constB148) <=> (~((~v157(constB148)) | (~v202(constB148))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37894, 47])).
% 7.78/6.00 tff(37896,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB148) <=> (~((~v183(constB148)) | (~v203(constB148)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37897,plain,
% 7.78/6.00 (v202(constB148) <=> (~((~v183(constB148)) | (~v203(constB148))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37896, 64])).
% 7.78/6.00 tff(37898,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB148) <=> (~((~v185(constB148)) | (~v204(constB148)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB148) <=> (~((~v185(constB148)) | (~v204(constB148))))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37899,plain,
% 7.78/6.00 ((v203(constB148) <=> (~((~v204(constB148)) | (~v185(constB148))))) <=> (v203(constB148) <=> (~((~v185(constB148)) | (~v204(constB148)))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37900,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB148) <=> (~((~v204(constB148)) | (~v185(constB148)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB148) <=> (~((~v185(constB148)) | (~v204(constB148))))))),
% 7.78/6.00 inference(monotonicity,[status(thm)],[37899])).
% 7.78/6.00 tff(37901,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB148) <=> (~((~v204(constB148)) | (~v185(constB148)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB148) <=> (~((~v185(constB148)) | (~v204(constB148))))))),
% 7.78/6.00 inference(transitivity,[status(thm)],[37900, 37898])).
% 7.78/6.00 tff(37902,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB148) <=> (~((~v204(constB148)) | (~v185(constB148)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37903,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB148) <=> (~((~v185(constB148)) | (~v204(constB148)))))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37902, 37901])).
% 7.78/6.00 tff(37904,plain,
% 7.78/6.00 (v203(constB148) <=> (~((~v185(constB148)) | (~v204(constB148))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37903, 76])).
% 7.78/6.00 tff(37905,plain,
% 7.78/6.00 (((~v185(constB148)) | (~v204(constB148))) | v185(constB148)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37906,plain,
% 7.78/6.00 ((~v185(constB148)) | (~v204(constB148))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37905, 27828])).
% 7.78/6.00 tff(37907,plain,
% 7.78/6.00 ((~(v203(constB148) <=> (~((~v185(constB148)) | (~v204(constB148)))))) | (~v203(constB148)) | (~((~v185(constB148)) | (~v204(constB148))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37908,plain,
% 7.78/6.00 ((~(v203(constB148) <=> (~((~v185(constB148)) | (~v204(constB148)))))) | (~v203(constB148))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37907, 37906])).
% 7.78/6.00 tff(37909,plain,
% 7.78/6.00 (~v203(constB148)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37908, 37904])).
% 7.78/6.00 tff(37910,plain,
% 7.78/6.00 (((~v183(constB148)) | (~v203(constB148))) | v203(constB148)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37911,plain,
% 7.78/6.00 ((~v183(constB148)) | (~v203(constB148))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37910, 37909])).
% 7.78/6.00 tff(37912,plain,
% 7.78/6.00 ((~(v202(constB148) <=> (~((~v183(constB148)) | (~v203(constB148)))))) | (~v202(constB148)) | (~((~v183(constB148)) | (~v203(constB148))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37913,plain,
% 7.78/6.00 (~v202(constB148)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37912, 37911, 37897])).
% 7.78/6.00 tff(37914,plain,
% 7.78/6.00 (((~v157(constB148)) | (~v202(constB148))) | v202(constB148)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37915,plain,
% 7.78/6.00 ((~v157(constB148)) | (~v202(constB148))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37914, 37913])).
% 7.78/6.00 tff(37916,plain,
% 7.78/6.00 ((~(v201(constB148) <=> (~((~v157(constB148)) | (~v202(constB148)))))) | (~v201(constB148)) | (~((~v157(constB148)) | (~v202(constB148))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37917,plain,
% 7.78/6.00 (~v201(constB148)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37916, 37915, 37895])).
% 7.78/6.00 tff(37918,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB148) <=> (~((~v159(constB148)) | (~v202(constB148)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB148) <=> (~((~v159(constB148)) | (~v202(constB148))))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37919,plain,
% 7.78/6.00 ((v205(constB148) <=> (~((~v202(constB148)) | (~v159(constB148))))) <=> (v205(constB148) <=> (~((~v159(constB148)) | (~v202(constB148)))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37920,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB148) <=> (~((~v202(constB148)) | (~v159(constB148)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB148) <=> (~((~v159(constB148)) | (~v202(constB148))))))),
% 7.78/6.00 inference(monotonicity,[status(thm)],[37919])).
% 7.78/6.00 tff(37921,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB148) <=> (~((~v202(constB148)) | (~v159(constB148)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB148) <=> (~((~v159(constB148)) | (~v202(constB148))))))),
% 7.78/6.00 inference(transitivity,[status(thm)],[37920, 37918])).
% 7.78/6.00 tff(37922,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB148) <=> (~((~v202(constB148)) | (~v159(constB148)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37923,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB148) <=> (~((~v159(constB148)) | (~v202(constB148)))))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37922, 37921])).
% 7.78/6.00 tff(37924,plain,
% 7.78/6.00 (v205(constB148) <=> (~((~v159(constB148)) | (~v202(constB148))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37923, 138])).
% 7.78/6.00 tff(37925,plain,
% 7.78/6.00 (((~v159(constB148)) | (~v202(constB148))) | v202(constB148)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37926,plain,
% 7.78/6.00 ((~v159(constB148)) | (~v202(constB148))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37925, 37913])).
% 7.78/6.00 tff(37927,plain,
% 7.78/6.00 ((~(v205(constB148) <=> (~((~v159(constB148)) | (~v202(constB148)))))) | (~v205(constB148)) | (~((~v159(constB148)) | (~v202(constB148))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37928,plain,
% 7.78/6.00 (~v205(constB148)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37927, 37926, 37924])).
% 7.78/6.00 tff(37929,plain,
% 7.78/6.00 ((~(v201(constB148) | v205(constB148))) | v201(constB148) | v205(constB148)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37930,plain,
% 7.78/6.00 (~(v201(constB148) | v205(constB148))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37929, 37928, 37917])).
% 7.78/6.00 tff(37931,plain,
% 7.78/6.00 ((~(v200(constB148) <=> (v201(constB148) | v205(constB148)))) | (~v200(constB148)) | (v201(constB148) | v205(constB148))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37932,plain,
% 7.78/6.00 ((~(v200(constB148) <=> (v201(constB148) | v205(constB148)))) | (~v200(constB148))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37931, 37930])).
% 7.78/6.00 tff(37933,plain,
% 7.78/6.00 (~v200(constB148)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37932, 37888])).
% 7.78/6.00 tff(37934,plain,
% 7.78/6.00 ($false),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37933, 37886])).
% 7.78/6.00 tff(37935,plain,(~(constB148 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/6.00 tff(37936,assumption,(constB125 = VarCurr!0), introduced(assumption)).
% 7.78/6.00 tff(37937,plain,
% 7.78/6.00 (v200(constB125) <=> v200(VarCurr!0)),
% 7.78/6.00 inference(monotonicity,[status(thm)],[37936])).
% 7.78/6.00 tff(37938,plain,
% 7.78/6.00 (v200(VarCurr!0) <=> v200(constB125)),
% 7.78/6.00 inference(symmetry,[status(thm)],[37937])).
% 7.78/6.00 tff(37939,plain,
% 7.78/6.00 (v200(constB125)),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[27, 37938])).
% 7.78/6.00 tff(37940,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB125) <=> (v201(constB125) | v205(constB125)))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37941,plain,
% 7.78/6.00 (v200(constB125) <=> (v201(constB125) | v205(constB125))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37940, 35])).
% 7.78/6.00 tff(37942,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB125) <=> (~((~v157(constB125)) | (~v202(constB125)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB125) <=> (~((~v157(constB125)) | (~v202(constB125))))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37943,plain,
% 7.78/6.00 ((v201(constB125) <=> (~((~v202(constB125)) | (~v157(constB125))))) <=> (v201(constB125) <=> (~((~v157(constB125)) | (~v202(constB125)))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37944,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB125) <=> (~((~v202(constB125)) | (~v157(constB125)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB125) <=> (~((~v157(constB125)) | (~v202(constB125))))))),
% 7.78/6.00 inference(monotonicity,[status(thm)],[37943])).
% 7.78/6.00 tff(37945,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB125) <=> (~((~v202(constB125)) | (~v157(constB125)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB125) <=> (~((~v157(constB125)) | (~v202(constB125))))))),
% 7.78/6.00 inference(transitivity,[status(thm)],[37944, 37942])).
% 7.78/6.00 tff(37946,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB125) <=> (~((~v202(constB125)) | (~v157(constB125)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37947,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB125) <=> (~((~v157(constB125)) | (~v202(constB125)))))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37946, 37945])).
% 7.78/6.00 tff(37948,plain,
% 7.78/6.00 (v201(constB125) <=> (~((~v157(constB125)) | (~v202(constB125))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37947, 47])).
% 7.78/6.00 tff(37949,plain,
% 7.78/6.00 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB125) <=> v192(constB125))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37950,plain,
% 7.78/6.00 (v157(constB125) <=> v192(constB125)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37949, 15407])).
% 7.78/6.00 tff(37951,plain,
% 7.78/6.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB124, constB125)) | (v192(constB125) <=> v190(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB124, constB125)) | (v192(constB125) <=> v190(constB124)))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37952,plain,
% 7.78/6.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB124, constB125)) | (v192(constB125) <=> v190(constB124)))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37953,plain,
% 7.78/6.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB124, constB125)) | (v192(constB125) <=> v190(constB124))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37952, 37951])).
% 7.78/6.00 tff(37954,plain,
% 7.78/6.00 (v192(constB125) <=> v190(constB124)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37953, 496, 15419])).
% 7.78/6.00 tff(37955,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB124) <=> (v193(constB124) | v196(constB124)))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37956,plain,
% 7.78/6.00 (v190(constB124) <=> (v193(constB124) | v196(constB124))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37955, 15430])).
% 7.78/6.00 tff(37957,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB124) <=> (~((~v157(constB124)) | (~v194(constB124)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB124) <=> (~((~v157(constB124)) | (~v194(constB124))))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37958,plain,
% 7.78/6.00 ((v193(constB124) <=> (~((~v194(constB124)) | (~v157(constB124))))) <=> (v193(constB124) <=> (~((~v157(constB124)) | (~v194(constB124)))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37959,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB124) <=> (~((~v194(constB124)) | (~v157(constB124)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB124) <=> (~((~v157(constB124)) | (~v194(constB124))))))),
% 7.78/6.00 inference(monotonicity,[status(thm)],[37958])).
% 7.78/6.00 tff(37960,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB124) <=> (~((~v194(constB124)) | (~v157(constB124)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB124) <=> (~((~v157(constB124)) | (~v194(constB124))))))),
% 7.78/6.00 inference(transitivity,[status(thm)],[37959, 37957])).
% 7.78/6.00 tff(37961,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB124) <=> (~((~v194(constB124)) | (~v157(constB124)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37962,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB124) <=> (~((~v157(constB124)) | (~v194(constB124)))))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37961, 37960])).
% 7.78/6.00 tff(37963,plain,
% 7.78/6.00 (v193(constB124) <=> (~((~v157(constB124)) | (~v194(constB124))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37962, 15442])).
% 7.78/6.00 tff(37964,plain,
% 7.78/6.00 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB124) <=> v192(constB124))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37965,plain,
% 7.78/6.00 (v157(constB124) <=> v192(constB124)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37964, 15407])).
% 7.78/6.00 tff(37966,plain,
% 7.78/6.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB123, constB124)) | (v192(constB124) <=> v190(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB123, constB124)) | (v192(constB124) <=> v190(constB123)))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37967,plain,
% 7.78/6.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB123, constB124)) | (v192(constB124) <=> v190(constB123)))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37968,plain,
% 7.78/6.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB123, constB124)) | (v192(constB124) <=> v190(constB123))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37967, 37966])).
% 7.78/6.00 tff(37969,plain,
% 7.78/6.00 (v192(constB124) <=> v190(constB123)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37968, 532, 15419])).
% 7.78/6.00 tff(37970,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB123) <=> (v193(constB123) | v196(constB123)))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37971,plain,
% 7.78/6.00 (v190(constB123) <=> (v193(constB123) | v196(constB123))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37970, 15430])).
% 7.78/6.00 tff(37972,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB123) <=> (~((~v159(constB123)) | (~v194(constB123)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB123) <=> (~((~v159(constB123)) | (~v194(constB123))))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37973,plain,
% 7.78/6.00 ((v196(constB123) <=> (~((~v194(constB123)) | (~v159(constB123))))) <=> (v196(constB123) <=> (~((~v159(constB123)) | (~v194(constB123)))))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37974,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB123) <=> (~((~v194(constB123)) | (~v159(constB123)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB123) <=> (~((~v159(constB123)) | (~v194(constB123))))))),
% 7.78/6.00 inference(monotonicity,[status(thm)],[37973])).
% 7.78/6.00 tff(37975,plain,
% 7.78/6.00 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB123) <=> (~((~v194(constB123)) | (~v159(constB123)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB123) <=> (~((~v159(constB123)) | (~v194(constB123))))))),
% 7.78/6.00 inference(transitivity,[status(thm)],[37974, 37972])).
% 7.78/6.00 tff(37976,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB123) <=> (~((~v194(constB123)) | (~v159(constB123)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37977,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB123) <=> (~((~v159(constB123)) | (~v194(constB123)))))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37976, 37975])).
% 7.78/6.00 tff(37978,plain,
% 7.78/6.00 (v196(constB123) <=> (~((~v159(constB123)) | (~v194(constB123))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37977, 15467])).
% 7.78/6.00 tff(37979,plain,
% 7.78/6.00 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB123) <=> v182(constB123))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37980,plain,
% 7.78/6.00 (v159(constB123) <=> v182(constB123)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37979, 15113])).
% 7.78/6.00 tff(37981,plain,
% 7.78/6.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB122, constB123)) | (v182(constB123) <=> v180(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB122, constB123)) | (v182(constB123) <=> v180(constB122)))),
% 7.78/6.00 inference(rewrite,[status(thm)],[])).
% 7.78/6.00 tff(37982,plain,
% 7.78/6.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB122, constB123)) | (v182(constB123) <=> v180(constB122)))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37983,plain,
% 7.78/6.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB122, constB123)) | (v182(constB123) <=> v180(constB122))),
% 7.78/6.00 inference(modus_ponens,[status(thm)],[37982, 37981])).
% 7.78/6.00 tff(37984,plain,
% 7.78/6.00 (v182(constB123) <=> v180(constB122)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37983, 575, 15125])).
% 7.78/6.00 tff(37985,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB122) <=> (~((~v183(constB122)) | (~v184(constB122)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37986,plain,
% 7.78/6.00 (v180(constB122) <=> (~((~v183(constB122)) | (~v184(constB122))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37985, 15139])).
% 7.78/6.00 tff(37987,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB122) <=> (~((~v185(constB122)) | (~v161(constB122)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37988,plain,
% 7.78/6.00 (v184(constB122) <=> (~((~v185(constB122)) | (~v161(constB122))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37987, 15151])).
% 7.78/6.00 tff(37989,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37990,plain,
% 7.78/6.00 (v185(constB122) <=> (~((~v39(constB122)) | (~v9(constB122))))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37989, 93])).
% 7.78/6.00 tff(37991,plain,
% 7.78/6.00 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB122)) <=> v1(constB122))),
% 7.78/6.00 inference(quant_inst,[status(thm)],[])).
% 7.78/6.00 tff(37992,plain,
% 7.78/6.00 ((~v39(constB122)) <=> v1(constB122)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37991, 102])).
% 7.78/6.00 tff(37993,plain,
% 7.78/6.00 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122)) | (~v1(constB122))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37994,plain,
% 7.78/6.00 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37993, 14419])).
% 7.78/6.00 tff(37995,plain,
% 7.78/6.00 (~v39(constB122)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37994, 37992])).
% 7.78/6.00 tff(37996,plain,
% 7.78/6.00 (((~v39(constB122)) | (~v9(constB122))) | v39(constB122)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37997,plain,
% 7.78/6.00 ((~v39(constB122)) | (~v9(constB122))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37996, 37995])).
% 7.78/6.00 tff(37998,plain,
% 7.78/6.00 ((~(v185(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v185(constB122)) | (~((~v39(constB122)) | (~v9(constB122))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(37999,plain,
% 7.78/6.00 ((~(v185(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v185(constB122))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37998, 37997])).
% 7.78/6.00 tff(38000,plain,
% 7.78/6.00 (~v185(constB122)),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[37999, 37990])).
% 7.78/6.00 tff(38001,plain,
% 7.78/6.00 (((~v185(constB122)) | (~v161(constB122))) | v185(constB122)),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(38002,plain,
% 7.78/6.00 ((~v185(constB122)) | (~v161(constB122))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[38001, 38000])).
% 7.78/6.00 tff(38003,plain,
% 7.78/6.00 ((~(v184(constB122) <=> (~((~v185(constB122)) | (~v161(constB122)))))) | (~v184(constB122)) | (~((~v185(constB122)) | (~v161(constB122))))),
% 7.78/6.00 inference(tautology,[status(thm)],[])).
% 7.78/6.00 tff(38004,plain,
% 7.78/6.00 ((~(v184(constB122) <=> (~((~v185(constB122)) | (~v161(constB122)))))) | (~v184(constB122))),
% 7.78/6.00 inference(unit_resolution,[status(thm)],[38003, 38002])).
% 7.78/6.00 tff(38005,plain,
% 7.78/6.01 (~v184(constB122)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38004, 37988])).
% 7.78/6.01 tff(38006,plain,
% 7.78/6.01 (((~v183(constB122)) | (~v184(constB122))) | v184(constB122)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38007,plain,
% 7.78/6.01 ((~v183(constB122)) | (~v184(constB122))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38006, 38005])).
% 7.78/6.01 tff(38008,plain,
% 7.78/6.01 ((~(v180(constB122) <=> (~((~v183(constB122)) | (~v184(constB122)))))) | (~v180(constB122)) | (~((~v183(constB122)) | (~v184(constB122))))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38009,plain,
% 7.78/6.01 (~v180(constB122)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38008, 38007, 37986])).
% 7.78/6.01 tff(38010,plain,
% 7.78/6.01 ((~(v182(constB123) <=> v180(constB122))) | (~v182(constB123)) | v180(constB122)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38011,plain,
% 7.78/6.01 (~v182(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38010, 38009, 37984])).
% 7.78/6.01 tff(38012,plain,
% 7.78/6.01 ((~(v159(constB123) <=> v182(constB123))) | (~v159(constB123)) | v182(constB123)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38013,plain,
% 7.78/6.01 (~v159(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38012, 38011, 37980])).
% 7.78/6.01 tff(38014,plain,
% 7.78/6.01 (((~v159(constB123)) | (~v194(constB123))) | v159(constB123)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38015,plain,
% 7.78/6.01 ((~v159(constB123)) | (~v194(constB123))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38014, 38013])).
% 7.78/6.01 tff(38016,plain,
% 7.78/6.01 ((~(v196(constB123) <=> (~((~v159(constB123)) | (~v194(constB123)))))) | (~v196(constB123)) | (~((~v159(constB123)) | (~v194(constB123))))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38017,plain,
% 7.78/6.01 (~v196(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38016, 38015, 37978])).
% 7.78/6.01 tff(38018,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB123) <=> (~((~v157(constB123)) | (~v194(constB123)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB123) <=> (~((~v157(constB123)) | (~v194(constB123))))))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38019,plain,
% 7.78/6.01 ((v193(constB123) <=> (~((~v194(constB123)) | (~v157(constB123))))) <=> (v193(constB123) <=> (~((~v157(constB123)) | (~v194(constB123)))))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38020,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB123) <=> (~((~v194(constB123)) | (~v157(constB123)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB123) <=> (~((~v157(constB123)) | (~v194(constB123))))))),
% 7.78/6.01 inference(monotonicity,[status(thm)],[38019])).
% 7.78/6.01 tff(38021,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB123) <=> (~((~v194(constB123)) | (~v157(constB123)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB123) <=> (~((~v157(constB123)) | (~v194(constB123))))))),
% 7.78/6.01 inference(transitivity,[status(thm)],[38020, 38018])).
% 7.78/6.01 tff(38022,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB123) <=> (~((~v194(constB123)) | (~v157(constB123)))))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38023,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB123) <=> (~((~v157(constB123)) | (~v194(constB123)))))),
% 7.78/6.01 inference(modus_ponens,[status(thm)],[38022, 38021])).
% 7.78/6.01 tff(38024,plain,
% 7.78/6.01 (v193(constB123) <=> (~((~v157(constB123)) | (~v194(constB123))))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38023, 15442])).
% 7.78/6.01 tff(38025,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB123)) <=> v195(constB123))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38026,plain,
% 7.78/6.01 ((~v194(constB123)) <=> v195(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38025, 15527])).
% 7.78/6.01 tff(38027,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB123) <=> (v185(constB123) | v26(constB123)))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38028,plain,
% 7.78/6.01 (v195(constB123) <=> (v185(constB123) | v26(constB123))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38027, 15536])).
% 7.78/6.01 tff(38029,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB123) <=> (~((~v39(constB123)) | (~v9(constB123)))))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38030,plain,
% 7.78/6.01 (v185(constB123) <=> (~((~v39(constB123)) | (~v9(constB123))))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38029, 93])).
% 7.78/6.01 tff(38031,plain,
% 7.78/6.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB123, constB124)) | (v13(constB124) <=> v9(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB123, constB124)) | (v13(constB124) <=> v9(constB123)))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38032,plain,
% 7.78/6.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB123, constB124)) | (v13(constB124) <=> v9(constB123)))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38033,plain,
% 7.78/6.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB123, constB124)) | (v13(constB124) <=> v9(constB123))),
% 7.78/6.01 inference(modus_ponens,[status(thm)],[38032, 38031])).
% 7.78/6.01 tff(38034,plain,
% 7.78/6.01 (v13(constB124) <=> v9(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38033, 532, 15550])).
% 7.78/6.01 tff(38035,plain,
% 7.78/6.01 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB124) <=> v13(constB124))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38036,plain,
% 7.78/6.01 (v6(constB124) <=> v13(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38035, 15564])).
% 7.78/6.01 tff(38037,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB124)) <=> v6(constB124))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38038,plain,
% 7.78/6.01 ((~v21(constB124)) <=> v6(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38037, 15573])).
% 7.78/6.01 tff(38039,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB124) <=> (v20(constB124) | v21(constB124)))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38040,plain,
% 7.78/6.01 (v19(constB124) <=> (v20(constB124) | v21(constB124))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38039, 15582])).
% 7.78/6.01 tff(38041,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB124) <=> (~((~v19(constB124)) | (~v22(constB124)))))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38042,plain,
% 7.78/6.01 (v18(constB124) <=> (~((~v19(constB124)) | (~v22(constB124))))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38041, 15594])).
% 7.78/6.01 tff(38043,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB124)) <=> v18(constB124))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38044,plain,
% 7.78/6.01 ((~v4(constB124)) <=> v18(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38043, 15603])).
% 7.78/6.01 tff(38045,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB124)),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38046,plain,
% 7.78/6.01 (v4(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38045, 15612])).
% 7.78/6.01 tff(38047,plain,
% 7.78/6.01 ((~((~v4(constB124)) <=> v18(constB124))) | (~v4(constB124)) | (~v18(constB124))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38048,plain,
% 7.78/6.01 (~v18(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38047, 38046, 38044])).
% 7.78/6.01 tff(38049,plain,
% 7.78/6.01 ((~(v18(constB124) <=> (~((~v19(constB124)) | (~v22(constB124)))))) | v18(constB124) | ((~v19(constB124)) | (~v22(constB124)))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38050,plain,
% 7.78/6.01 ((~v19(constB124)) | (~v22(constB124))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38049, 38048, 38042])).
% 7.78/6.01 tff(38051,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB124) <=> (v1(constB124) | v6(constB124)))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38052,plain,
% 7.78/6.01 (v22(constB124) <=> (v1(constB124) | v6(constB124))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38051, 15625])).
% 7.78/6.01 tff(38053,plain,
% 7.78/6.01 ((v1(constB124) | v6(constB124)) | (~v1(constB124))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38054,plain,
% 7.78/6.01 (v1(constB124) | v6(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38053, 14568])).
% 7.78/6.01 tff(38055,plain,
% 7.78/6.01 ((~(v22(constB124) <=> (v1(constB124) | v6(constB124)))) | v22(constB124) | (~(v1(constB124) | v6(constB124)))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38056,plain,
% 7.78/6.01 ((~(v22(constB124) <=> (v1(constB124) | v6(constB124)))) | v22(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38055, 38054])).
% 7.78/6.01 tff(38057,plain,
% 7.78/6.01 (v22(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38056, 38052])).
% 7.78/6.01 tff(38058,plain,
% 7.78/6.01 ((~((~v19(constB124)) | (~v22(constB124)))) | (~v19(constB124)) | (~v22(constB124))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38059,plain,
% 7.78/6.01 ((~((~v19(constB124)) | (~v22(constB124)))) | (~v19(constB124))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38058, 38057])).
% 7.78/6.01 tff(38060,plain,
% 7.78/6.01 (~v19(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38059, 38050])).
% 7.78/6.01 tff(38061,plain,
% 7.78/6.01 ((~(v19(constB124) <=> (v20(constB124) | v21(constB124)))) | v19(constB124) | (~(v20(constB124) | v21(constB124)))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38062,plain,
% 7.78/6.01 (~(v20(constB124) | v21(constB124))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38061, 38060, 38040])).
% 7.78/6.01 tff(38063,plain,
% 7.78/6.01 ((v20(constB124) | v21(constB124)) | (~v21(constB124))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38064,plain,
% 7.78/6.01 (~v21(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38063, 38062])).
% 7.78/6.01 tff(38065,plain,
% 7.78/6.01 ((~((~v21(constB124)) <=> v6(constB124))) | v21(constB124) | v6(constB124)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38066,plain,
% 7.78/6.01 (v6(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38065, 38064, 38038])).
% 7.78/6.01 tff(38067,plain,
% 7.78/6.01 ((~(v6(constB124) <=> v13(constB124))) | (~v6(constB124)) | v13(constB124)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38068,plain,
% 7.78/6.01 (v13(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38067, 38066, 38036])).
% 7.78/6.01 tff(38069,plain,
% 7.78/6.01 ((~(v13(constB124) <=> v9(constB123))) | (~v13(constB124)) | v9(constB123)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38070,plain,
% 7.78/6.01 (v9(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38069, 38068, 38034])).
% 7.78/6.01 tff(38071,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB123)) <=> v1(constB123))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38072,plain,
% 7.78/6.01 ((~v39(constB123)) <=> v1(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38071, 102])).
% 7.78/6.01 tff(38073,plain,
% 7.78/6.01 ((~((~v39(constB123)) <=> v1(constB123))) | v39(constB123) | v1(constB123)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38074,plain,
% 7.78/6.01 ((~((~v39(constB123)) <=> v1(constB123))) | v39(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38073, 589])).
% 7.78/6.01 tff(38075,plain,
% 7.78/6.01 (v39(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38074, 38072])).
% 7.78/6.01 tff(38076,plain,
% 7.78/6.01 ((~((~v39(constB123)) | (~v9(constB123)))) | (~v39(constB123)) | (~v9(constB123))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38077,plain,
% 7.78/6.01 ((~((~v39(constB123)) | (~v9(constB123)))) | (~v9(constB123))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38076, 38075])).
% 7.78/6.01 tff(38078,plain,
% 7.78/6.01 (~((~v39(constB123)) | (~v9(constB123)))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38077, 38070])).
% 7.78/6.01 tff(38079,plain,
% 7.78/6.01 ((~(v185(constB123) <=> (~((~v39(constB123)) | (~v9(constB123)))))) | v185(constB123) | ((~v39(constB123)) | (~v9(constB123)))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38080,plain,
% 7.78/6.01 (v185(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38079, 38078, 38030])).
% 7.78/6.01 tff(38081,plain,
% 7.78/6.01 ((v185(constB123) | v26(constB123)) | (~v185(constB123))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38082,plain,
% 7.78/6.01 (v185(constB123) | v26(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38081, 38080])).
% 7.78/6.01 tff(38083,plain,
% 7.78/6.01 ((~(v195(constB123) <=> (v185(constB123) | v26(constB123)))) | v195(constB123) | (~(v185(constB123) | v26(constB123)))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38084,plain,
% 7.78/6.01 (v195(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38083, 38082, 38028])).
% 7.78/6.01 tff(38085,plain,
% 7.78/6.01 ((~((~v194(constB123)) <=> v195(constB123))) | (~v194(constB123)) | (~v195(constB123))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38086,plain,
% 7.78/6.01 (~v194(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38085, 38084, 38026])).
% 7.78/6.01 tff(38087,plain,
% 7.78/6.01 (((~v157(constB123)) | (~v194(constB123))) | v194(constB123)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38088,plain,
% 7.78/6.01 ((~v157(constB123)) | (~v194(constB123))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38087, 38086])).
% 7.78/6.01 tff(38089,plain,
% 7.78/6.01 ((~(v193(constB123) <=> (~((~v157(constB123)) | (~v194(constB123)))))) | (~v193(constB123)) | (~((~v157(constB123)) | (~v194(constB123))))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38090,plain,
% 7.78/6.01 (~v193(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38089, 38088, 38024])).
% 7.78/6.01 tff(38091,plain,
% 7.78/6.01 ((~(v193(constB123) | v196(constB123))) | v193(constB123) | v196(constB123)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38092,plain,
% 7.78/6.01 (~(v193(constB123) | v196(constB123))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38091, 38090, 38017])).
% 7.78/6.01 tff(38093,plain,
% 7.78/6.01 ((~(v190(constB123) <=> (v193(constB123) | v196(constB123)))) | (~v190(constB123)) | (v193(constB123) | v196(constB123))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38094,plain,
% 7.78/6.01 (~v190(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38093, 38092, 37971])).
% 7.78/6.01 tff(38095,plain,
% 7.78/6.01 ((~(v192(constB124) <=> v190(constB123))) | (~v192(constB124)) | v190(constB123)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38096,plain,
% 7.78/6.01 (~v192(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38095, 38094, 37969])).
% 7.78/6.01 tff(38097,plain,
% 7.78/6.01 ((~(v157(constB124) <=> v192(constB124))) | (~v157(constB124)) | v192(constB124)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38098,plain,
% 7.78/6.01 (~v157(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38097, 38096, 37965])).
% 7.78/6.01 tff(38099,plain,
% 7.78/6.01 (((~v157(constB124)) | (~v194(constB124))) | v157(constB124)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38100,plain,
% 7.78/6.01 ((~v157(constB124)) | (~v194(constB124))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38099, 38098])).
% 7.78/6.01 tff(38101,plain,
% 7.78/6.01 ((~(v193(constB124) <=> (~((~v157(constB124)) | (~v194(constB124)))))) | (~v193(constB124)) | (~((~v157(constB124)) | (~v194(constB124))))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38102,plain,
% 7.78/6.01 (~v193(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38101, 38100, 37963])).
% 7.78/6.01 tff(38103,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB124) <=> (~((~v159(constB124)) | (~v194(constB124)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB124) <=> (~((~v159(constB124)) | (~v194(constB124))))))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38104,plain,
% 7.78/6.01 ((v196(constB124) <=> (~((~v194(constB124)) | (~v159(constB124))))) <=> (v196(constB124) <=> (~((~v159(constB124)) | (~v194(constB124)))))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38105,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB124) <=> (~((~v194(constB124)) | (~v159(constB124)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB124) <=> (~((~v159(constB124)) | (~v194(constB124))))))),
% 7.78/6.01 inference(monotonicity,[status(thm)],[38104])).
% 7.78/6.01 tff(38106,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB124) <=> (~((~v194(constB124)) | (~v159(constB124)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB124) <=> (~((~v159(constB124)) | (~v194(constB124))))))),
% 7.78/6.01 inference(transitivity,[status(thm)],[38105, 38103])).
% 7.78/6.01 tff(38107,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB124) <=> (~((~v194(constB124)) | (~v159(constB124)))))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38108,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB124) <=> (~((~v159(constB124)) | (~v194(constB124)))))),
% 7.78/6.01 inference(modus_ponens,[status(thm)],[38107, 38106])).
% 7.78/6.01 tff(38109,plain,
% 7.78/6.01 (v196(constB124) <=> (~((~v159(constB124)) | (~v194(constB124))))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38108, 15467])).
% 7.78/6.01 tff(38110,plain,
% 7.78/6.01 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB124) <=> v182(constB124))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38111,plain,
% 7.78/6.01 (v159(constB124) <=> v182(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38110, 15113])).
% 7.78/6.01 tff(38112,plain,
% 7.78/6.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB123, constB124)) | (v182(constB124) <=> v180(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB123, constB124)) | (v182(constB124) <=> v180(constB123)))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38113,plain,
% 7.78/6.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB123, constB124)) | (v182(constB124) <=> v180(constB123)))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38114,plain,
% 7.78/6.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB123, constB124)) | (v182(constB124) <=> v180(constB123))),
% 7.78/6.01 inference(modus_ponens,[status(thm)],[38113, 38112])).
% 7.78/6.01 tff(38115,plain,
% 7.78/6.01 (v182(constB124) <=> v180(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38114, 532, 15125])).
% 7.78/6.01 tff(38116,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB123) <=> (~((~v183(constB123)) | (~v184(constB123)))))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38117,plain,
% 7.78/6.01 (v180(constB123) <=> (~((~v183(constB123)) | (~v184(constB123))))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38116, 15139])).
% 7.78/6.01 tff(38118,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB123) <=> (~((~v185(constB123)) | (~v161(constB123)))))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38119,plain,
% 7.78/6.01 (v184(constB123) <=> (~((~v185(constB123)) | (~v161(constB123))))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38118, 15151])).
% 7.78/6.01 tff(38120,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB123) <=> v163(constB123))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38121,plain,
% 7.78/6.01 (v161(constB123) <=> v163(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38120, 15701])).
% 7.78/6.01 tff(38122,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB123) <=> (v145(constB123) | v167(constB123)))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38123,plain,
% 7.78/6.01 (v166(constB123) <=> (v145(constB123) | v167(constB123))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38122, 15713])).
% 7.78/6.01 tff(38124,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB123) <=> (v146(constB123) | v147(constB123)))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38125,plain,
% 7.78/6.01 (v145(constB123) <=> (v146(constB123) | v147(constB123))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38124, 25196])).
% 7.78/6.01 tff(38126,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB123) <=> (~(v88(constB123, 1) | (~v88(constB123, 2)) | v88(constB123, 0))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB123) <=> (~(v88(constB123, 1) | (~v88(constB123, 2)) | v88(constB123, 0)))))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38127,plain,
% 7.78/6.01 ((v146(constB123) <=> (~(v88(constB123, 0) | v88(constB123, 1) | (~v88(constB123, 2))))) <=> (v146(constB123) <=> (~(v88(constB123, 1) | (~v88(constB123, 2)) | v88(constB123, 0))))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38128,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB123) <=> (~(v88(constB123, 0) | v88(constB123, 1) | (~v88(constB123, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB123) <=> (~(v88(constB123, 1) | (~v88(constB123, 2)) | v88(constB123, 0)))))),
% 7.78/6.01 inference(monotonicity,[status(thm)],[38127])).
% 7.78/6.01 tff(38129,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB123) <=> (~(v88(constB123, 0) | v88(constB123, 1) | (~v88(constB123, 2)))))) <=> ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB123) <=> (~(v88(constB123, 1) | (~v88(constB123, 2)) | v88(constB123, 0)))))),
% 7.78/6.01 inference(transitivity,[status(thm)],[38128, 38126])).
% 7.78/6.01 tff(38130,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB123) <=> (~(v88(constB123, 0) | v88(constB123, 1) | (~v88(constB123, 2)))))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38131,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v146(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | (~v88(VarCurr, 2)))))) | (v146(constB123) <=> (~(v88(constB123, 1) | (~v88(constB123, 2)) | v88(constB123, 0))))),
% 7.78/6.01 inference(modus_ponens,[status(thm)],[38130, 38129])).
% 7.78/6.01 tff(38132,plain,
% 7.78/6.01 (v146(constB123) <=> (~(v88(constB123, 1) | (~v88(constB123, 2)) | v88(constB123, 0)))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38131, 25211])).
% 7.78/6.01 tff(38133,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB123, 1)) <=> v90(constB123, 1)) | ((~v88(constB123, 2)) <=> v90(constB123, 2)) | ((~v88(constB123, 0)) <=> v90(constB123, 0))))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38134,plain,
% 7.78/6.01 (~(((~v88(constB123, 1)) <=> v90(constB123, 1)) | ((~v88(constB123, 2)) <=> v90(constB123, 2)) | ((~v88(constB123, 0)) <=> v90(constB123, 0)))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38133, 256])).
% 7.78/6.01 tff(38135,plain,
% 7.78/6.01 ((((~v88(constB123, 1)) <=> v90(constB123, 1)) | ((~v88(constB123, 2)) <=> v90(constB123, 2)) | ((~v88(constB123, 0)) <=> v90(constB123, 0))) | (~((~v88(constB123, 2)) <=> v90(constB123, 2)))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38136,plain,
% 7.78/6.01 (~((~v88(constB123, 2)) <=> v90(constB123, 2))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38135, 38134])).
% 7.78/6.01 tff(38137,plain,
% 7.78/6.01 (((~v88(constB123, 2)) <=> v90(constB123, 2)) | v88(constB123, 2) | (~v90(constB123, 2))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38138,plain,
% 7.78/6.01 (v88(constB123, 2)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38137, 14490, 38136])).
% 7.78/6.01 tff(38139,plain,
% 7.78/6.01 ((((~v88(constB123, 1)) <=> v90(constB123, 1)) | ((~v88(constB123, 2)) <=> v90(constB123, 2)) | ((~v88(constB123, 0)) <=> v90(constB123, 0))) | (~((~v88(constB123, 0)) <=> v90(constB123, 0)))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38140,plain,
% 7.78/6.01 (~((~v88(constB123, 0)) <=> v90(constB123, 0))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38139, 38134])).
% 7.78/6.01 tff(38141,plain,
% 7.78/6.01 (((~v88(constB123, 0)) <=> v90(constB123, 0)) | (~v88(constB123, 0)) | v90(constB123, 0)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38142,plain,
% 7.78/6.01 (~v88(constB123, 0)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38141, 14508, 38140])).
% 7.78/6.01 tff(38143,plain,
% 7.78/6.01 ((((~v88(constB123, 1)) <=> v90(constB123, 1)) | ((~v88(constB123, 2)) <=> v90(constB123, 2)) | ((~v88(constB123, 0)) <=> v90(constB123, 0))) | (~((~v88(constB123, 1)) <=> v90(constB123, 1)))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38144,plain,
% 7.78/6.01 (~((~v88(constB123, 1)) <=> v90(constB123, 1))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38143, 38134])).
% 7.78/6.01 tff(38145,plain,
% 7.78/6.01 (((~v88(constB123, 1)) <=> v90(constB123, 1)) | (~v88(constB123, 1)) | v90(constB123, 1)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38146,plain,
% 7.78/6.01 (~v88(constB123, 1)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38145, 14526, 38144])).
% 7.78/6.01 tff(38147,plain,
% 7.78/6.01 ((~(v88(constB123, 1) | (~v88(constB123, 2)) | v88(constB123, 0))) | v88(constB123, 1) | (~v88(constB123, 2)) | v88(constB123, 0)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38148,plain,
% 7.78/6.01 (~(v88(constB123, 1) | (~v88(constB123, 2)) | v88(constB123, 0))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38147, 38146, 38142, 38138])).
% 7.78/6.01 tff(38149,plain,
% 7.78/6.01 ((~(v146(constB123) <=> (~(v88(constB123, 1) | (~v88(constB123, 2)) | v88(constB123, 0))))) | v146(constB123) | (v88(constB123, 1) | (~v88(constB123, 2)) | v88(constB123, 0))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38150,plain,
% 7.78/6.01 (v146(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38149, 38148, 38132])).
% 7.78/6.01 tff(38151,plain,
% 7.78/6.01 ((v146(constB123) | v147(constB123)) | (~v146(constB123))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38152,plain,
% 7.78/6.01 (v146(constB123) | v147(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38151, 38150])).
% 7.78/6.01 tff(38153,plain,
% 7.78/6.01 ((~(v145(constB123) <=> (v146(constB123) | v147(constB123)))) | v145(constB123) | (~(v146(constB123) | v147(constB123)))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38154,plain,
% 7.78/6.01 (v145(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38153, 38152, 38125])).
% 7.78/6.01 tff(38155,plain,
% 7.78/6.01 ((v145(constB123) | v167(constB123)) | (~v145(constB123))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38156,plain,
% 7.78/6.01 (v145(constB123) | v167(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38155, 38154])).
% 7.78/6.01 tff(38157,plain,
% 7.78/6.01 ((~(v166(constB123) <=> (v145(constB123) | v167(constB123)))) | v166(constB123) | (~(v145(constB123) | v167(constB123)))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38158,plain,
% 7.78/6.01 ((~(v166(constB123) <=> (v145(constB123) | v167(constB123)))) | v166(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38157, 38156])).
% 7.78/6.01 tff(38159,plain,
% 7.78/6.01 (v166(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38158, 38123])).
% 7.78/6.01 tff(38160,plain,
% 7.78/6.01 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB123)) | (v163(constB123) <=> v170(constB123)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB123)) | (v163(constB123) <=> v170(constB123)))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38161,plain,
% 7.78/6.01 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB123)) | (v163(constB123) <=> v170(constB123)))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38162,plain,
% 7.78/6.01 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB123)) | (v163(constB123) <=> v170(constB123))),
% 7.78/6.01 inference(modus_ponens,[status(thm)],[38161, 38160])).
% 7.78/6.01 tff(38163,plain,
% 7.78/6.01 ((~v166(constB123)) | (v163(constB123) <=> v170(constB123))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38162, 15777])).
% 7.78/6.01 tff(38164,plain,
% 7.78/6.01 (v163(constB123) <=> v170(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38163, 38159])).
% 7.78/6.01 tff(38165,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB123) <=> (~(v88(constB123, 1) | v88(constB123, 2) | (~v88(constB123, 0)))))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38166,plain,
% 7.78/6.01 (v140(constB123) <=> (~(v88(constB123, 1) | v88(constB123, 2) | (~v88(constB123, 0))))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38165, 15814])).
% 7.78/6.01 tff(38167,plain,
% 7.78/6.01 ((v88(constB123, 1) | v88(constB123, 2) | (~v88(constB123, 0))) | v88(constB123, 0)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38168,plain,
% 7.78/6.01 (v88(constB123, 1) | v88(constB123, 2) | (~v88(constB123, 0))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38167, 38142])).
% 7.78/6.01 tff(38169,plain,
% 7.78/6.01 ((~(v140(constB123) <=> (~(v88(constB123, 1) | v88(constB123, 2) | (~v88(constB123, 0)))))) | (~v140(constB123)) | (~(v88(constB123, 1) | v88(constB123, 2) | (~v88(constB123, 0))))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38170,plain,
% 7.78/6.01 (~v140(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38169, 38168, 38166])).
% 7.78/6.01 tff(38171,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB123) <=> (~(v88(constB123, 0) | v88(constB123, 1) | v88(constB123, 2))))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38172,plain,
% 7.78/6.01 (v139(constB123) <=> (~(v88(constB123, 0) | v88(constB123, 1) | v88(constB123, 2)))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38171, 15795])).
% 7.78/6.01 tff(38173,plain,
% 7.78/6.01 ((v88(constB123, 0) | v88(constB123, 1) | v88(constB123, 2)) | (~v88(constB123, 2))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38174,plain,
% 7.78/6.01 (v88(constB123, 0) | v88(constB123, 1) | v88(constB123, 2)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38173, 38138])).
% 7.78/6.01 tff(38175,plain,
% 7.78/6.01 ((~(v139(constB123) <=> (~(v88(constB123, 0) | v88(constB123, 1) | v88(constB123, 2))))) | (~v139(constB123)) | (~(v88(constB123, 0) | v88(constB123, 1) | v88(constB123, 2)))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38176,plain,
% 7.78/6.01 (~v139(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38175, 38174, 38172])).
% 7.78/6.01 tff(38177,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB123) | v139(constB123) | (~v170(constB123)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB123) | v139(constB123) | (~v170(constB123)))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38178,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB123) | v139(constB123) | (~v170(constB123)))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38179,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB123) | v139(constB123) | (~v170(constB123))),
% 7.78/6.01 inference(modus_ponens,[status(thm)],[38178, 38177])).
% 7.78/6.01 tff(38180,plain,
% 7.78/6.01 (v140(constB123) | v139(constB123) | (~v170(constB123))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38179, 15833])).
% 7.78/6.01 tff(38181,plain,
% 7.78/6.01 (~v170(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38180, 38176, 38170])).
% 7.78/6.01 tff(38182,plain,
% 7.78/6.01 ((~(v163(constB123) <=> v170(constB123))) | (~v163(constB123)) | v170(constB123)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38183,plain,
% 7.78/6.01 ((~(v163(constB123) <=> v170(constB123))) | (~v163(constB123))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38182, 38181])).
% 7.78/6.01 tff(38184,plain,
% 7.78/6.01 (~v163(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38183, 38164])).
% 7.78/6.01 tff(38185,plain,
% 7.78/6.01 ((~(v161(constB123) <=> v163(constB123))) | (~v161(constB123)) | v163(constB123)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38186,plain,
% 7.78/6.01 ((~(v161(constB123) <=> v163(constB123))) | (~v161(constB123))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38185, 38184])).
% 7.78/6.01 tff(38187,plain,
% 7.78/6.01 (~v161(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38186, 38121])).
% 7.78/6.01 tff(38188,plain,
% 7.78/6.01 (((~v185(constB123)) | (~v161(constB123))) | v161(constB123)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38189,plain,
% 7.78/6.01 ((~v185(constB123)) | (~v161(constB123))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38188, 38187])).
% 7.78/6.01 tff(38190,plain,
% 7.78/6.01 ((~(v184(constB123) <=> (~((~v185(constB123)) | (~v161(constB123)))))) | (~v184(constB123)) | (~((~v185(constB123)) | (~v161(constB123))))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38191,plain,
% 7.78/6.01 (~v184(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38190, 38189, 38119])).
% 7.78/6.01 tff(38192,plain,
% 7.78/6.01 (((~v183(constB123)) | (~v184(constB123))) | v184(constB123)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38193,plain,
% 7.78/6.01 ((~v183(constB123)) | (~v184(constB123))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38192, 38191])).
% 7.78/6.01 tff(38194,plain,
% 7.78/6.01 ((~(v180(constB123) <=> (~((~v183(constB123)) | (~v184(constB123)))))) | (~v180(constB123)) | (~((~v183(constB123)) | (~v184(constB123))))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38195,plain,
% 7.78/6.01 (~v180(constB123)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38194, 38193, 38117])).
% 7.78/6.01 tff(38196,plain,
% 7.78/6.01 ((~(v182(constB124) <=> v180(constB123))) | (~v182(constB124)) | v180(constB123)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38197,plain,
% 7.78/6.01 (~v182(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38196, 38195, 38115])).
% 7.78/6.01 tff(38198,plain,
% 7.78/6.01 ((~(v159(constB124) <=> v182(constB124))) | (~v159(constB124)) | v182(constB124)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38199,plain,
% 7.78/6.01 (~v159(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38198, 38197, 38111])).
% 7.78/6.01 tff(38200,plain,
% 7.78/6.01 (((~v159(constB124)) | (~v194(constB124))) | v159(constB124)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38201,plain,
% 7.78/6.01 ((~v159(constB124)) | (~v194(constB124))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38200, 38199])).
% 7.78/6.01 tff(38202,plain,
% 7.78/6.01 ((~(v196(constB124) <=> (~((~v159(constB124)) | (~v194(constB124)))))) | (~v196(constB124)) | (~((~v159(constB124)) | (~v194(constB124))))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38203,plain,
% 7.78/6.01 (~v196(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38202, 38201, 38109])).
% 7.78/6.01 tff(38204,plain,
% 7.78/6.01 ((~(v193(constB124) | v196(constB124))) | v193(constB124) | v196(constB124)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38205,plain,
% 7.78/6.01 (~(v193(constB124) | v196(constB124))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38204, 38203, 38102])).
% 7.78/6.01 tff(38206,plain,
% 7.78/6.01 ((~(v190(constB124) <=> (v193(constB124) | v196(constB124)))) | (~v190(constB124)) | (v193(constB124) | v196(constB124))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38207,plain,
% 7.78/6.01 (~v190(constB124)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38206, 38205, 37956])).
% 7.78/6.01 tff(38208,plain,
% 7.78/6.01 ((~(v192(constB125) <=> v190(constB124))) | (~v192(constB125)) | v190(constB124)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38209,plain,
% 7.78/6.01 (~v192(constB125)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38208, 38207, 37954])).
% 7.78/6.01 tff(38210,plain,
% 7.78/6.01 ((~(v157(constB125) <=> v192(constB125))) | (~v157(constB125)) | v192(constB125)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38211,plain,
% 7.78/6.01 (~v157(constB125)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38210, 38209, 37950])).
% 7.78/6.01 tff(38212,plain,
% 7.78/6.01 (((~v157(constB125)) | (~v202(constB125))) | v157(constB125)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38213,plain,
% 7.78/6.01 ((~v157(constB125)) | (~v202(constB125))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38212, 38211])).
% 7.78/6.01 tff(38214,plain,
% 7.78/6.01 ((~(v201(constB125) <=> (~((~v157(constB125)) | (~v202(constB125)))))) | (~v201(constB125)) | (~((~v157(constB125)) | (~v202(constB125))))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38215,plain,
% 7.78/6.01 (~v201(constB125)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38214, 38213, 37948])).
% 7.78/6.01 tff(38216,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB125) <=> (~((~v159(constB125)) | (~v202(constB125)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB125) <=> (~((~v159(constB125)) | (~v202(constB125))))))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38217,plain,
% 7.78/6.01 ((v205(constB125) <=> (~((~v202(constB125)) | (~v159(constB125))))) <=> (v205(constB125) <=> (~((~v159(constB125)) | (~v202(constB125)))))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38218,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB125) <=> (~((~v202(constB125)) | (~v159(constB125)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB125) <=> (~((~v159(constB125)) | (~v202(constB125))))))),
% 7.78/6.01 inference(monotonicity,[status(thm)],[38217])).
% 7.78/6.01 tff(38219,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB125) <=> (~((~v202(constB125)) | (~v159(constB125)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB125) <=> (~((~v159(constB125)) | (~v202(constB125))))))),
% 7.78/6.01 inference(transitivity,[status(thm)],[38218, 38216])).
% 7.78/6.01 tff(38220,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB125) <=> (~((~v202(constB125)) | (~v159(constB125)))))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38221,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB125) <=> (~((~v159(constB125)) | (~v202(constB125)))))),
% 7.78/6.01 inference(modus_ponens,[status(thm)],[38220, 38219])).
% 7.78/6.01 tff(38222,plain,
% 7.78/6.01 (v205(constB125) <=> (~((~v159(constB125)) | (~v202(constB125))))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38221, 138])).
% 7.78/6.01 tff(38223,plain,
% 7.78/6.01 (((~v159(constB125)) | (~v202(constB125))) | v159(constB125)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38224,plain,
% 7.78/6.01 ((~v159(constB125)) | (~v202(constB125))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38223, 28636])).
% 7.78/6.01 tff(38225,plain,
% 7.78/6.01 ((~(v205(constB125) <=> (~((~v159(constB125)) | (~v202(constB125)))))) | (~v205(constB125)) | (~((~v159(constB125)) | (~v202(constB125))))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38226,plain,
% 7.78/6.01 (~v205(constB125)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38225, 38224, 38222])).
% 7.78/6.01 tff(38227,plain,
% 7.78/6.01 ((~(v201(constB125) | v205(constB125))) | v201(constB125) | v205(constB125)),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38228,plain,
% 7.78/6.01 ((~(v201(constB125) | v205(constB125))) | v201(constB125)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38227, 38226])).
% 7.78/6.01 tff(38229,plain,
% 7.78/6.01 (~(v201(constB125) | v205(constB125))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38228, 38215])).
% 7.78/6.01 tff(38230,plain,
% 7.78/6.01 ((~(v200(constB125) <=> (v201(constB125) | v205(constB125)))) | (~v200(constB125)) | (v201(constB125) | v205(constB125))),
% 7.78/6.01 inference(tautology,[status(thm)],[])).
% 7.78/6.01 tff(38231,plain,
% 7.78/6.01 (~v200(constB125)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38230, 38229, 37941])).
% 7.78/6.01 tff(38232,plain,
% 7.78/6.01 ($false),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38231, 37939])).
% 7.78/6.01 tff(38233,plain,(~(constB125 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/6.01 tff(38234,assumption,(constB37 = VarCurr!0), introduced(assumption)).
% 7.78/6.01 tff(38235,plain,
% 7.78/6.01 (v200(constB37) <=> v200(VarCurr!0)),
% 7.78/6.01 inference(monotonicity,[status(thm)],[38234])).
% 7.78/6.01 tff(38236,plain,
% 7.78/6.01 (v200(VarCurr!0) <=> v200(constB37)),
% 7.78/6.01 inference(symmetry,[status(thm)],[38235])).
% 7.78/6.01 tff(38237,plain,
% 7.78/6.01 (v200(constB37)),
% 7.78/6.01 inference(modus_ponens,[status(thm)],[27, 38236])).
% 7.78/6.01 tff(38238,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB37) <=> (v201(constB37) | v205(constB37)))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38239,plain,
% 7.78/6.01 (v200(constB37) <=> (v201(constB37) | v205(constB37))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38238, 35])).
% 7.78/6.01 tff(38240,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB37) <=> (~((~v157(constB37)) | (~v202(constB37)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB37) <=> (~((~v157(constB37)) | (~v202(constB37))))))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38241,plain,
% 7.78/6.01 ((v201(constB37) <=> (~((~v202(constB37)) | (~v157(constB37))))) <=> (v201(constB37) <=> (~((~v157(constB37)) | (~v202(constB37)))))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38242,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB37) <=> (~((~v202(constB37)) | (~v157(constB37)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB37) <=> (~((~v157(constB37)) | (~v202(constB37))))))),
% 7.78/6.01 inference(monotonicity,[status(thm)],[38241])).
% 7.78/6.01 tff(38243,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB37) <=> (~((~v202(constB37)) | (~v157(constB37)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB37) <=> (~((~v157(constB37)) | (~v202(constB37))))))),
% 7.78/6.01 inference(transitivity,[status(thm)],[38242, 38240])).
% 7.78/6.01 tff(38244,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB37) <=> (~((~v202(constB37)) | (~v157(constB37)))))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38245,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB37) <=> (~((~v157(constB37)) | (~v202(constB37)))))),
% 7.78/6.01 inference(modus_ponens,[status(thm)],[38244, 38243])).
% 7.78/6.01 tff(38246,plain,
% 7.78/6.01 (v201(constB37) <=> (~((~v157(constB37)) | (~v202(constB37))))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38245, 47])).
% 7.78/6.01 tff(38247,plain,
% 7.78/6.01 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB37) <=> v192(constB37))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38248,plain,
% 7.78/6.01 (v157(constB37) <=> v192(constB37)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38247, 15407])).
% 7.78/6.01 tff(38249,plain,
% 7.78/6.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB36, constB37)) | (v192(constB37) <=> v190(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB36, constB37)) | (v192(constB37) <=> v190(constB36)))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38250,plain,
% 7.78/6.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB36, constB37)) | (v192(constB37) <=> v190(constB36)))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38251,plain,
% 7.78/6.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB36, constB37)) | (v192(constB37) <=> v190(constB36))),
% 7.78/6.01 inference(modus_ponens,[status(thm)],[38250, 38249])).
% 7.78/6.01 tff(38252,plain,
% 7.78/6.01 (v192(constB37) <=> v190(constB36)),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38251, 3354, 15419])).
% 7.78/6.01 tff(38253,plain,
% 7.78/6.01 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB36) <=> (v193(constB36) | v196(constB36)))),
% 7.78/6.01 inference(quant_inst,[status(thm)],[])).
% 7.78/6.01 tff(38254,plain,
% 7.78/6.01 (v190(constB36) <=> (v193(constB36) | v196(constB36))),
% 7.78/6.01 inference(unit_resolution,[status(thm)],[38253, 15430])).
% 7.78/6.01 tff(38255,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB36) <=> (~((~v157(constB36)) | (~v194(constB36)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB36) <=> (~((~v157(constB36)) | (~v194(constB36))))))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38256,plain,
% 7.78/6.01 ((v193(constB36) <=> (~((~v194(constB36)) | (~v157(constB36))))) <=> (v193(constB36) <=> (~((~v157(constB36)) | (~v194(constB36)))))),
% 7.78/6.01 inference(rewrite,[status(thm)],[])).
% 7.78/6.01 tff(38257,plain,
% 7.78/6.01 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB36) <=> (~((~v194(constB36)) | (~v157(constB36)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB36) <=> (~((~v157(constB36)) | (~v194(constB36))))))),
% 7.78/6.02 inference(monotonicity,[status(thm)],[38256])).
% 7.78/6.02 tff(38258,plain,
% 7.78/6.02 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB36) <=> (~((~v194(constB36)) | (~v157(constB36)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB36) <=> (~((~v157(constB36)) | (~v194(constB36))))))),
% 7.78/6.02 inference(transitivity,[status(thm)],[38257, 38255])).
% 7.78/6.02 tff(38259,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB36) <=> (~((~v194(constB36)) | (~v157(constB36)))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38260,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB36) <=> (~((~v157(constB36)) | (~v194(constB36)))))),
% 7.78/6.02 inference(modus_ponens,[status(thm)],[38259, 38258])).
% 7.78/6.02 tff(38261,plain,
% 7.78/6.02 (v193(constB36) <=> (~((~v157(constB36)) | (~v194(constB36))))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38260, 15442])).
% 7.78/6.02 tff(38262,plain,
% 7.78/6.02 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB36) <=> v192(constB36))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38263,plain,
% 7.78/6.02 (v157(constB36) <=> v192(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38262, 15407])).
% 7.78/6.02 tff(38264,plain,
% 7.78/6.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB35, constB36)) | (v192(constB36) <=> v190(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB35, constB36)) | (v192(constB36) <=> v190(constB35)))),
% 7.78/6.02 inference(rewrite,[status(thm)],[])).
% 7.78/6.02 tff(38265,plain,
% 7.78/6.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB35, constB36)) | (v192(constB36) <=> v190(constB35)))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38266,plain,
% 7.78/6.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB35, constB36)) | (v192(constB36) <=> v190(constB35))),
% 7.78/6.02 inference(modus_ponens,[status(thm)],[38265, 38264])).
% 7.78/6.02 tff(38267,plain,
% 7.78/6.02 (v192(constB36) <=> v190(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38266, 3390, 15419])).
% 7.78/6.02 tff(38268,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB35) <=> (v193(constB35) | v196(constB35)))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38269,plain,
% 7.78/6.02 (v190(constB35) <=> (v193(constB35) | v196(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38268, 15430])).
% 7.78/6.02 tff(38270,plain,
% 7.78/6.02 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB35) <=> (~((~v159(constB35)) | (~v194(constB35)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB35) <=> (~((~v159(constB35)) | (~v194(constB35))))))),
% 7.78/6.02 inference(rewrite,[status(thm)],[])).
% 7.78/6.02 tff(38271,plain,
% 7.78/6.02 ((v196(constB35) <=> (~((~v194(constB35)) | (~v159(constB35))))) <=> (v196(constB35) <=> (~((~v159(constB35)) | (~v194(constB35)))))),
% 7.78/6.02 inference(rewrite,[status(thm)],[])).
% 7.78/6.02 tff(38272,plain,
% 7.78/6.02 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB35) <=> (~((~v194(constB35)) | (~v159(constB35)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB35) <=> (~((~v159(constB35)) | (~v194(constB35))))))),
% 7.78/6.02 inference(monotonicity,[status(thm)],[38271])).
% 7.78/6.02 tff(38273,plain,
% 7.78/6.02 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB35) <=> (~((~v194(constB35)) | (~v159(constB35)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB35) <=> (~((~v159(constB35)) | (~v194(constB35))))))),
% 7.78/6.02 inference(transitivity,[status(thm)],[38272, 38270])).
% 7.78/6.02 tff(38274,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB35) <=> (~((~v194(constB35)) | (~v159(constB35)))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38275,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB35) <=> (~((~v159(constB35)) | (~v194(constB35)))))),
% 7.78/6.02 inference(modus_ponens,[status(thm)],[38274, 38273])).
% 7.78/6.02 tff(38276,plain,
% 7.78/6.02 (v196(constB35) <=> (~((~v159(constB35)) | (~v194(constB35))))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38275, 15467])).
% 7.78/6.02 tff(38277,plain,
% 7.78/6.02 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB35) <=> v182(constB35))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38278,plain,
% 7.78/6.02 (v159(constB35) <=> v182(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38277, 15113])).
% 7.78/6.02 tff(38279,plain,
% 7.78/6.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB34, constB35)) | (v182(constB35) <=> v180(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB34, constB35)) | (v182(constB35) <=> v180(constB34)))),
% 7.78/6.02 inference(rewrite,[status(thm)],[])).
% 7.78/6.02 tff(38280,plain,
% 7.78/6.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB34, constB35)) | (v182(constB35) <=> v180(constB34)))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38281,plain,
% 7.78/6.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB34, constB35)) | (v182(constB35) <=> v180(constB34))),
% 7.78/6.02 inference(modus_ponens,[status(thm)],[38280, 38279])).
% 7.78/6.02 tff(38282,plain,
% 7.78/6.02 (v182(constB35) <=> v180(constB34)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38281, 3415, 15125])).
% 7.78/6.02 tff(38283,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB34) <=> (~((~v183(constB34)) | (~v184(constB34)))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38284,plain,
% 7.78/6.02 (v180(constB34) <=> (~((~v183(constB34)) | (~v184(constB34))))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38283, 15139])).
% 7.78/6.02 tff(38285,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB34) <=> (~((~v185(constB34)) | (~v161(constB34)))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38286,plain,
% 7.78/6.02 (v184(constB34) <=> (~((~v185(constB34)) | (~v161(constB34))))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38285, 15151])).
% 7.78/6.02 tff(38287,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38288,plain,
% 7.78/6.02 (v185(constB34) <=> (~((~v39(constB34)) | (~v9(constB34))))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38287, 93])).
% 7.78/6.02 tff(38289,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB34)) <=> v1(constB34))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38290,plain,
% 7.78/6.02 ((~v39(constB34)) <=> v1(constB34)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38289, 102])).
% 7.78/6.02 tff(38291,plain,
% 7.78/6.02 ((~((~v39(constB34)) <=> v1(constB34))) | (~v39(constB34)) | (~v1(constB34))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38292,plain,
% 7.78/6.02 ((~((~v39(constB34)) <=> v1(constB34))) | (~v39(constB34))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38291, 7374])).
% 7.78/6.02 tff(38293,plain,
% 7.78/6.02 (~v39(constB34)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38292, 38290])).
% 7.78/6.02 tff(38294,plain,
% 7.78/6.02 (((~v39(constB34)) | (~v9(constB34))) | v39(constB34)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38295,plain,
% 7.78/6.02 ((~v39(constB34)) | (~v9(constB34))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38294, 38293])).
% 7.78/6.02 tff(38296,plain,
% 7.78/6.02 ((~(v185(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))) | (~v185(constB34)) | (~((~v39(constB34)) | (~v9(constB34))))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38297,plain,
% 7.78/6.02 ((~(v185(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))) | (~v185(constB34))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38296, 38295])).
% 7.78/6.02 tff(38298,plain,
% 7.78/6.02 (~v185(constB34)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38297, 38288])).
% 7.78/6.02 tff(38299,plain,
% 7.78/6.02 (((~v185(constB34)) | (~v161(constB34))) | v185(constB34)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38300,plain,
% 7.78/6.02 ((~v185(constB34)) | (~v161(constB34))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38299, 38298])).
% 7.78/6.02 tff(38301,plain,
% 7.78/6.02 ((~(v184(constB34) <=> (~((~v185(constB34)) | (~v161(constB34)))))) | (~v184(constB34)) | (~((~v185(constB34)) | (~v161(constB34))))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38302,plain,
% 7.78/6.02 ((~(v184(constB34) <=> (~((~v185(constB34)) | (~v161(constB34)))))) | (~v184(constB34))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38301, 38300])).
% 7.78/6.02 tff(38303,plain,
% 7.78/6.02 (~v184(constB34)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38302, 38286])).
% 7.78/6.02 tff(38304,plain,
% 7.78/6.02 (((~v183(constB34)) | (~v184(constB34))) | v184(constB34)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38305,plain,
% 7.78/6.02 ((~v183(constB34)) | (~v184(constB34))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38304, 38303])).
% 7.78/6.02 tff(38306,plain,
% 7.78/6.02 ((~(v180(constB34) <=> (~((~v183(constB34)) | (~v184(constB34)))))) | (~v180(constB34)) | (~((~v183(constB34)) | (~v184(constB34))))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38307,plain,
% 7.78/6.02 (~v180(constB34)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38306, 38305, 38284])).
% 7.78/6.02 tff(38308,plain,
% 7.78/6.02 ((~(v182(constB35) <=> v180(constB34))) | (~v182(constB35)) | v180(constB34)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38309,plain,
% 7.78/6.02 (~v182(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38308, 38307, 38282])).
% 7.78/6.02 tff(38310,plain,
% 7.78/6.02 ((~(v159(constB35) <=> v182(constB35))) | (~v159(constB35)) | v182(constB35)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38311,plain,
% 7.78/6.02 (~v159(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38310, 38309, 38278])).
% 7.78/6.02 tff(38312,plain,
% 7.78/6.02 (((~v159(constB35)) | (~v194(constB35))) | v159(constB35)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38313,plain,
% 7.78/6.02 ((~v159(constB35)) | (~v194(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38312, 38311])).
% 7.78/6.02 tff(38314,plain,
% 7.78/6.02 ((~(v196(constB35) <=> (~((~v159(constB35)) | (~v194(constB35)))))) | (~v196(constB35)) | (~((~v159(constB35)) | (~v194(constB35))))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38315,plain,
% 7.78/6.02 (~v196(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38314, 38313, 38276])).
% 7.78/6.02 tff(38316,plain,
% 7.78/6.02 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB35) <=> (~((~v157(constB35)) | (~v194(constB35)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB35) <=> (~((~v157(constB35)) | (~v194(constB35))))))),
% 7.78/6.02 inference(rewrite,[status(thm)],[])).
% 7.78/6.02 tff(38317,plain,
% 7.78/6.02 ((v193(constB35) <=> (~((~v194(constB35)) | (~v157(constB35))))) <=> (v193(constB35) <=> (~((~v157(constB35)) | (~v194(constB35)))))),
% 7.78/6.02 inference(rewrite,[status(thm)],[])).
% 7.78/6.02 tff(38318,plain,
% 7.78/6.02 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB35) <=> (~((~v194(constB35)) | (~v157(constB35)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB35) <=> (~((~v157(constB35)) | (~v194(constB35))))))),
% 7.78/6.02 inference(monotonicity,[status(thm)],[38317])).
% 7.78/6.02 tff(38319,plain,
% 7.78/6.02 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB35) <=> (~((~v194(constB35)) | (~v157(constB35)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB35) <=> (~((~v157(constB35)) | (~v194(constB35))))))),
% 7.78/6.02 inference(transitivity,[status(thm)],[38318, 38316])).
% 7.78/6.02 tff(38320,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB35) <=> (~((~v194(constB35)) | (~v157(constB35)))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38321,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB35) <=> (~((~v157(constB35)) | (~v194(constB35)))))),
% 7.78/6.02 inference(modus_ponens,[status(thm)],[38320, 38319])).
% 7.78/6.02 tff(38322,plain,
% 7.78/6.02 (v193(constB35) <=> (~((~v157(constB35)) | (~v194(constB35))))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38321, 15442])).
% 7.78/6.02 tff(38323,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB35)) <=> v195(constB35))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38324,plain,
% 7.78/6.02 ((~v194(constB35)) <=> v195(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38323, 15527])).
% 7.78/6.02 tff(38325,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB35) <=> (v185(constB35) | v26(constB35)))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38326,plain,
% 7.78/6.02 (v195(constB35) <=> (v185(constB35) | v26(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38325, 15536])).
% 7.78/6.02 tff(38327,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB35) <=> (~((~v39(constB35)) | (~v9(constB35)))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38328,plain,
% 7.78/6.02 (v185(constB35) <=> (~((~v39(constB35)) | (~v9(constB35))))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38327, 93])).
% 7.78/6.02 tff(38329,plain,
% 7.78/6.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35)))),
% 7.78/6.02 inference(rewrite,[status(thm)],[])).
% 7.78/6.02 tff(38330,plain,
% 7.78/6.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35)))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38331,plain,
% 7.78/6.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35))),
% 7.78/6.02 inference(modus_ponens,[status(thm)],[38330, 38329])).
% 7.78/6.02 tff(38332,plain,
% 7.78/6.02 (v13(constB36) <=> v9(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38331, 3390, 15550])).
% 7.78/6.02 tff(38333,plain,
% 7.78/6.02 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB36) <=> v13(constB36))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38334,plain,
% 7.78/6.02 (v6(constB36) <=> v13(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38333, 15564])).
% 7.78/6.02 tff(38335,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB36)) <=> v6(constB36))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38336,plain,
% 7.78/6.02 ((~v21(constB36)) <=> v6(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38335, 15573])).
% 7.78/6.02 tff(38337,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB36) <=> (v20(constB36) | v21(constB36)))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38338,plain,
% 7.78/6.02 (v19(constB36) <=> (v20(constB36) | v21(constB36))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38337, 15582])).
% 7.78/6.02 tff(38339,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36)))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38340,plain,
% 7.78/6.02 (v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36))))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38339, 15594])).
% 7.78/6.02 tff(38341,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB36)) <=> v18(constB36))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38342,plain,
% 7.78/6.02 ((~v4(constB36)) <=> v18(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38341, 15603])).
% 7.78/6.02 tff(38343,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB36)),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38344,plain,
% 7.78/6.02 (v4(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38343, 15612])).
% 7.78/6.02 tff(38345,plain,
% 7.78/6.02 ((~((~v4(constB36)) <=> v18(constB36))) | (~v4(constB36)) | (~v18(constB36))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38346,plain,
% 7.78/6.02 (~v18(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38345, 38344, 38342])).
% 7.78/6.02 tff(38347,plain,
% 7.78/6.02 ((~(v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36)))))) | v18(constB36) | ((~v19(constB36)) | (~v22(constB36)))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38348,plain,
% 7.78/6.02 ((~v19(constB36)) | (~v22(constB36))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38347, 38346, 38340])).
% 7.78/6.02 tff(38349,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB36) <=> (v1(constB36) | v6(constB36)))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38350,plain,
% 7.78/6.02 (v22(constB36) <=> (v1(constB36) | v6(constB36))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38349, 15625])).
% 7.78/6.02 tff(38351,plain,
% 7.78/6.02 ((v1(constB36) | v6(constB36)) | (~v1(constB36))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38352,plain,
% 7.78/6.02 (v1(constB36) | v6(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38351, 7573])).
% 7.78/6.02 tff(38353,plain,
% 7.78/6.02 ((~(v22(constB36) <=> (v1(constB36) | v6(constB36)))) | v22(constB36) | (~(v1(constB36) | v6(constB36)))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38354,plain,
% 7.78/6.02 ((~(v22(constB36) <=> (v1(constB36) | v6(constB36)))) | v22(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38353, 38352])).
% 7.78/6.02 tff(38355,plain,
% 7.78/6.02 (v22(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38354, 38350])).
% 7.78/6.02 tff(38356,plain,
% 7.78/6.02 ((~((~v19(constB36)) | (~v22(constB36)))) | (~v19(constB36)) | (~v22(constB36))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38357,plain,
% 7.78/6.02 ((~((~v19(constB36)) | (~v22(constB36)))) | (~v19(constB36))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38356, 38355])).
% 7.78/6.02 tff(38358,plain,
% 7.78/6.02 (~v19(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38357, 38348])).
% 7.78/6.02 tff(38359,plain,
% 7.78/6.02 ((~(v19(constB36) <=> (v20(constB36) | v21(constB36)))) | v19(constB36) | (~(v20(constB36) | v21(constB36)))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38360,plain,
% 7.78/6.02 (~(v20(constB36) | v21(constB36))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38359, 38358, 38338])).
% 7.78/6.02 tff(38361,plain,
% 7.78/6.02 ((v20(constB36) | v21(constB36)) | (~v21(constB36))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38362,plain,
% 7.78/6.02 (~v21(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38361, 38360])).
% 7.78/6.02 tff(38363,plain,
% 7.78/6.02 ((~((~v21(constB36)) <=> v6(constB36))) | v21(constB36) | v6(constB36)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38364,plain,
% 7.78/6.02 (v6(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38363, 38362, 38336])).
% 7.78/6.02 tff(38365,plain,
% 7.78/6.02 ((~(v6(constB36) <=> v13(constB36))) | (~v6(constB36)) | v13(constB36)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38366,plain,
% 7.78/6.02 (v13(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38365, 38364, 38334])).
% 7.78/6.02 tff(38367,plain,
% 7.78/6.02 ((~(v13(constB36) <=> v9(constB35))) | (~v13(constB36)) | v9(constB35)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38368,plain,
% 7.78/6.02 (v9(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38367, 38366, 38332])).
% 7.78/6.02 tff(38369,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB35)) <=> v1(constB35))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38370,plain,
% 7.78/6.02 ((~v39(constB35)) <=> v1(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38369, 102])).
% 7.78/6.02 tff(38371,plain,
% 7.78/6.02 ((~((~v39(constB35)) <=> v1(constB35))) | v39(constB35) | v1(constB35)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38372,plain,
% 7.78/6.02 ((~((~v39(constB35)) <=> v1(constB35))) | v39(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38371, 3429])).
% 7.78/6.02 tff(38373,plain,
% 7.78/6.02 (v39(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38372, 38370])).
% 7.78/6.02 tff(38374,plain,
% 7.78/6.02 ((~((~v39(constB35)) | (~v9(constB35)))) | (~v39(constB35)) | (~v9(constB35))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38375,plain,
% 7.78/6.02 ((~((~v39(constB35)) | (~v9(constB35)))) | (~v9(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38374, 38373])).
% 7.78/6.02 tff(38376,plain,
% 7.78/6.02 (~((~v39(constB35)) | (~v9(constB35)))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38375, 38368])).
% 7.78/6.02 tff(38377,plain,
% 7.78/6.02 ((~(v185(constB35) <=> (~((~v39(constB35)) | (~v9(constB35)))))) | v185(constB35) | ((~v39(constB35)) | (~v9(constB35)))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38378,plain,
% 7.78/6.02 (v185(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38377, 38376, 38328])).
% 7.78/6.02 tff(38379,plain,
% 7.78/6.02 ((v185(constB35) | v26(constB35)) | (~v185(constB35))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38380,plain,
% 7.78/6.02 (v185(constB35) | v26(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38379, 38378])).
% 7.78/6.02 tff(38381,plain,
% 7.78/6.02 ((~(v195(constB35) <=> (v185(constB35) | v26(constB35)))) | v195(constB35) | (~(v185(constB35) | v26(constB35)))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38382,plain,
% 7.78/6.02 (v195(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38381, 38380, 38326])).
% 7.78/6.02 tff(38383,plain,
% 7.78/6.02 ((~((~v194(constB35)) <=> v195(constB35))) | (~v194(constB35)) | (~v195(constB35))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38384,plain,
% 7.78/6.02 (~v194(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38383, 38382, 38324])).
% 7.78/6.02 tff(38385,plain,
% 7.78/6.02 (((~v157(constB35)) | (~v194(constB35))) | v194(constB35)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38386,plain,
% 7.78/6.02 ((~v157(constB35)) | (~v194(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38385, 38384])).
% 7.78/6.02 tff(38387,plain,
% 7.78/6.02 ((~(v193(constB35) <=> (~((~v157(constB35)) | (~v194(constB35)))))) | (~v193(constB35)) | (~((~v157(constB35)) | (~v194(constB35))))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38388,plain,
% 7.78/6.02 (~v193(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38387, 38386, 38322])).
% 7.78/6.02 tff(38389,plain,
% 7.78/6.02 ((~(v193(constB35) | v196(constB35))) | v193(constB35) | v196(constB35)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38390,plain,
% 7.78/6.02 (~(v193(constB35) | v196(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38389, 38388, 38315])).
% 7.78/6.02 tff(38391,plain,
% 7.78/6.02 ((~(v190(constB35) <=> (v193(constB35) | v196(constB35)))) | (~v190(constB35)) | (v193(constB35) | v196(constB35))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38392,plain,
% 7.78/6.02 (~v190(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38391, 38390, 38269])).
% 7.78/6.02 tff(38393,plain,
% 7.78/6.02 ((~(v192(constB36) <=> v190(constB35))) | (~v192(constB36)) | v190(constB35)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38394,plain,
% 7.78/6.02 (~v192(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38393, 38392, 38267])).
% 7.78/6.02 tff(38395,plain,
% 7.78/6.02 ((~(v157(constB36) <=> v192(constB36))) | (~v157(constB36)) | v192(constB36)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38396,plain,
% 7.78/6.02 (~v157(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38395, 38394, 38263])).
% 7.78/6.02 tff(38397,plain,
% 7.78/6.02 (((~v157(constB36)) | (~v194(constB36))) | v157(constB36)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38398,plain,
% 7.78/6.02 ((~v157(constB36)) | (~v194(constB36))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38397, 38396])).
% 7.78/6.02 tff(38399,plain,
% 7.78/6.02 ((~(v193(constB36) <=> (~((~v157(constB36)) | (~v194(constB36)))))) | (~v193(constB36)) | (~((~v157(constB36)) | (~v194(constB36))))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38400,plain,
% 7.78/6.02 (~v193(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38399, 38398, 38261])).
% 7.78/6.02 tff(38401,plain,
% 7.78/6.02 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB36) <=> (~((~v159(constB36)) | (~v194(constB36)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB36) <=> (~((~v159(constB36)) | (~v194(constB36))))))),
% 7.78/6.02 inference(rewrite,[status(thm)],[])).
% 7.78/6.02 tff(38402,plain,
% 7.78/6.02 ((v196(constB36) <=> (~((~v194(constB36)) | (~v159(constB36))))) <=> (v196(constB36) <=> (~((~v159(constB36)) | (~v194(constB36)))))),
% 7.78/6.02 inference(rewrite,[status(thm)],[])).
% 7.78/6.02 tff(38403,plain,
% 7.78/6.02 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB36) <=> (~((~v194(constB36)) | (~v159(constB36)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB36) <=> (~((~v159(constB36)) | (~v194(constB36))))))),
% 7.78/6.02 inference(monotonicity,[status(thm)],[38402])).
% 7.78/6.02 tff(38404,plain,
% 7.78/6.02 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB36) <=> (~((~v194(constB36)) | (~v159(constB36)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB36) <=> (~((~v159(constB36)) | (~v194(constB36))))))),
% 7.78/6.02 inference(transitivity,[status(thm)],[38403, 38401])).
% 7.78/6.02 tff(38405,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB36) <=> (~((~v194(constB36)) | (~v159(constB36)))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38406,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB36) <=> (~((~v159(constB36)) | (~v194(constB36)))))),
% 7.78/6.02 inference(modus_ponens,[status(thm)],[38405, 38404])).
% 7.78/6.02 tff(38407,plain,
% 7.78/6.02 (v196(constB36) <=> (~((~v159(constB36)) | (~v194(constB36))))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38406, 15467])).
% 7.78/6.02 tff(38408,plain,
% 7.78/6.02 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB36) <=> v182(constB36))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38409,plain,
% 7.78/6.02 (v159(constB36) <=> v182(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38408, 15113])).
% 7.78/6.02 tff(38410,plain,
% 7.78/6.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB35, constB36)) | (v182(constB36) <=> v180(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB35, constB36)) | (v182(constB36) <=> v180(constB35)))),
% 7.78/6.02 inference(rewrite,[status(thm)],[])).
% 7.78/6.02 tff(38411,plain,
% 7.78/6.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB35, constB36)) | (v182(constB36) <=> v180(constB35)))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38412,plain,
% 7.78/6.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB35, constB36)) | (v182(constB36) <=> v180(constB35))),
% 7.78/6.02 inference(modus_ponens,[status(thm)],[38411, 38410])).
% 7.78/6.02 tff(38413,plain,
% 7.78/6.02 (v182(constB36) <=> v180(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38412, 3390, 15125])).
% 7.78/6.02 tff(38414,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB35) <=> (~((~v183(constB35)) | (~v184(constB35)))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38415,plain,
% 7.78/6.02 (v180(constB35) <=> (~((~v183(constB35)) | (~v184(constB35))))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38414, 15139])).
% 7.78/6.02 tff(38416,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB35) <=> (~((~v185(constB35)) | (~v161(constB35)))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38417,plain,
% 7.78/6.02 (v184(constB35) <=> (~((~v185(constB35)) | (~v161(constB35))))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38416, 15151])).
% 7.78/6.02 tff(38418,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB35) <=> v163(constB35))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38419,plain,
% 7.78/6.02 (v161(constB35) <=> v163(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38418, 15701])).
% 7.78/6.02 tff(38420,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB35) <=> (v145(constB35) | v167(constB35)))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38421,plain,
% 7.78/6.02 (v166(constB35) <=> (v145(constB35) | v167(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38420, 15713])).
% 7.78/6.02 tff(38422,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB35) <=> (v142(constB35) | v168(constB35)))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38423,plain,
% 7.78/6.02 (v167(constB35) <=> (v142(constB35) | v168(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38422, 15725])).
% 7.78/6.02 tff(38424,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB35) <=> (v143(constB35) | v144(constB35)))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38425,plain,
% 7.78/6.02 (v142(constB35) <=> (v143(constB35) | v144(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38424, 221])).
% 7.78/6.02 tff(38426,plain,
% 7.78/6.02 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB35) <=> (~((~v88(constB35, 1)) | (~v88(constB35, 2)) | v88(constB35, 0))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB35) <=> (~((~v88(constB35, 1)) | (~v88(constB35, 2)) | v88(constB35, 0)))))),
% 7.78/6.02 inference(rewrite,[status(thm)],[])).
% 7.78/6.02 tff(38427,plain,
% 7.78/6.02 ((v144(constB35) <=> (~(v88(constB35, 0) | (~v88(constB35, 1)) | (~v88(constB35, 2))))) <=> (v144(constB35) <=> (~((~v88(constB35, 1)) | (~v88(constB35, 2)) | v88(constB35, 0))))),
% 7.78/6.02 inference(rewrite,[status(thm)],[])).
% 7.78/6.02 tff(38428,plain,
% 7.78/6.02 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB35) <=> (~(v88(constB35, 0) | (~v88(constB35, 1)) | (~v88(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB35) <=> (~((~v88(constB35, 1)) | (~v88(constB35, 2)) | v88(constB35, 0)))))),
% 7.78/6.02 inference(monotonicity,[status(thm)],[38427])).
% 7.78/6.02 tff(38429,plain,
% 7.78/6.02 (((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB35) <=> (~(v88(constB35, 0) | (~v88(constB35, 1)) | (~v88(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB35) <=> (~((~v88(constB35, 1)) | (~v88(constB35, 2)) | v88(constB35, 0)))))),
% 7.78/6.02 inference(transitivity,[status(thm)],[38428, 38426])).
% 7.78/6.02 tff(38430,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB35) <=> (~(v88(constB35, 0) | (~v88(constB35, 1)) | (~v88(constB35, 2)))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38431,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~(v88(VarCurr, 0) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 2)))))) | (v144(constB35) <=> (~((~v88(constB35, 1)) | (~v88(constB35, 2)) | v88(constB35, 0))))),
% 7.78/6.02 inference(modus_ponens,[status(thm)],[38430, 38429])).
% 7.78/6.02 tff(38432,plain,
% 7.78/6.02 (v144(constB35) <=> (~((~v88(constB35, 1)) | (~v88(constB35, 2)) | v88(constB35, 0)))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38431, 28763])).
% 7.78/6.02 tff(38433,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB35, 1)) <=> v90(constB35, 1)) | ((~v88(constB35, 2)) <=> v90(constB35, 2)) | ((~v88(constB35, 0)) <=> v90(constB35, 0))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38434,plain,
% 7.78/6.02 (~(((~v88(constB35, 1)) <=> v90(constB35, 1)) | ((~v88(constB35, 2)) <=> v90(constB35, 2)) | ((~v88(constB35, 0)) <=> v90(constB35, 0)))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38433, 256])).
% 7.78/6.02 tff(38435,plain,
% 7.78/6.02 ((((~v88(constB35, 1)) <=> v90(constB35, 1)) | ((~v88(constB35, 2)) <=> v90(constB35, 2)) | ((~v88(constB35, 0)) <=> v90(constB35, 0))) | (~((~v88(constB35, 2)) <=> v90(constB35, 2)))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38436,plain,
% 7.78/6.02 (~((~v88(constB35, 2)) <=> v90(constB35, 2))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38435, 38434])).
% 7.78/6.02 tff(38437,plain,
% 7.78/6.02 (((~v88(constB35, 2)) <=> v90(constB35, 2)) | v88(constB35, 2) | (~v90(constB35, 2))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38438,plain,
% 7.78/6.02 (v88(constB35, 2)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38437, 7519, 38436])).
% 7.78/6.02 tff(38439,plain,
% 7.78/6.02 ((((~v88(constB35, 1)) <=> v90(constB35, 1)) | ((~v88(constB35, 2)) <=> v90(constB35, 2)) | ((~v88(constB35, 0)) <=> v90(constB35, 0))) | (~((~v88(constB35, 0)) <=> v90(constB35, 0)))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38440,plain,
% 7.78/6.02 (~((~v88(constB35, 0)) <=> v90(constB35, 0))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38439, 38434])).
% 7.78/6.02 tff(38441,plain,
% 7.78/6.02 (((~v88(constB35, 0)) <=> v90(constB35, 0)) | (~v88(constB35, 0)) | v90(constB35, 0)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38442,plain,
% 7.78/6.02 (~v88(constB35, 0)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38441, 7439, 38440])).
% 7.78/6.02 tff(38443,plain,
% 7.78/6.02 ((((~v88(constB35, 1)) <=> v90(constB35, 1)) | ((~v88(constB35, 2)) <=> v90(constB35, 2)) | ((~v88(constB35, 0)) <=> v90(constB35, 0))) | (~((~v88(constB35, 1)) <=> v90(constB35, 1)))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38444,plain,
% 7.78/6.02 (~((~v88(constB35, 1)) <=> v90(constB35, 1))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38443, 38434])).
% 7.78/6.02 tff(38445,plain,
% 7.78/6.02 (((~v88(constB35, 1)) <=> v90(constB35, 1)) | v88(constB35, 1) | (~v90(constB35, 1))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38446,plain,
% 7.78/6.02 (v88(constB35, 1)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38445, 7479, 38444])).
% 7.78/6.02 tff(38447,plain,
% 7.78/6.02 ((~((~v88(constB35, 1)) | (~v88(constB35, 2)) | v88(constB35, 0))) | (~v88(constB35, 1)) | (~v88(constB35, 2)) | v88(constB35, 0)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38448,plain,
% 7.78/6.02 (~((~v88(constB35, 1)) | (~v88(constB35, 2)) | v88(constB35, 0))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38447, 38446, 38442, 38438])).
% 7.78/6.02 tff(38449,plain,
% 7.78/6.02 ((~(v144(constB35) <=> (~((~v88(constB35, 1)) | (~v88(constB35, 2)) | v88(constB35, 0))))) | v144(constB35) | ((~v88(constB35, 1)) | (~v88(constB35, 2)) | v88(constB35, 0))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38450,plain,
% 7.78/6.02 (v144(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38449, 38448, 38432])).
% 7.78/6.02 tff(38451,plain,
% 7.78/6.02 ((v143(constB35) | v144(constB35)) | (~v144(constB35))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38452,plain,
% 7.78/6.02 (v143(constB35) | v144(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38451, 38450])).
% 7.78/6.02 tff(38453,plain,
% 7.78/6.02 ((~(v142(constB35) <=> (v143(constB35) | v144(constB35)))) | v142(constB35) | (~(v143(constB35) | v144(constB35)))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38454,plain,
% 7.78/6.02 (v142(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38453, 38452, 38425])).
% 7.78/6.02 tff(38455,plain,
% 7.78/6.02 ((v142(constB35) | v168(constB35)) | (~v142(constB35))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38456,plain,
% 7.78/6.02 (v142(constB35) | v168(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38455, 38454])).
% 7.78/6.02 tff(38457,plain,
% 7.78/6.02 ((~(v167(constB35) <=> (v142(constB35) | v168(constB35)))) | v167(constB35) | (~(v142(constB35) | v168(constB35)))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38458,plain,
% 7.78/6.02 ((~(v167(constB35) <=> (v142(constB35) | v168(constB35)))) | v167(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38457, 38456])).
% 7.78/6.02 tff(38459,plain,
% 7.78/6.02 (v167(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38458, 38423])).
% 7.78/6.02 tff(38460,plain,
% 7.78/6.02 ((v145(constB35) | v167(constB35)) | (~v167(constB35))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38461,plain,
% 7.78/6.02 (v145(constB35) | v167(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38460, 38459])).
% 7.78/6.02 tff(38462,plain,
% 7.78/6.02 ((~(v166(constB35) <=> (v145(constB35) | v167(constB35)))) | v166(constB35) | (~(v145(constB35) | v167(constB35)))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38463,plain,
% 7.78/6.02 (v166(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38462, 38461, 38421])).
% 7.78/6.02 tff(38464,plain,
% 7.78/6.02 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB35)) | (v163(constB35) <=> v170(constB35)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB35)) | (v163(constB35) <=> v170(constB35)))),
% 7.78/6.02 inference(rewrite,[status(thm)],[])).
% 7.78/6.02 tff(38465,plain,
% 7.78/6.02 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB35)) | (v163(constB35) <=> v170(constB35)))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38466,plain,
% 7.78/6.02 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB35)) | (v163(constB35) <=> v170(constB35))),
% 7.78/6.02 inference(modus_ponens,[status(thm)],[38465, 38464])).
% 7.78/6.02 tff(38467,plain,
% 7.78/6.02 ((~v166(constB35)) | (v163(constB35) <=> v170(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38466, 15777])).
% 7.78/6.02 tff(38468,plain,
% 7.78/6.02 (v163(constB35) <=> v170(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38467, 38463])).
% 7.78/6.02 tff(38469,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB35) <=> (~(v88(constB35, 1) | v88(constB35, 2) | (~v88(constB35, 0)))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38470,plain,
% 7.78/6.02 (v140(constB35) <=> (~(v88(constB35, 1) | v88(constB35, 2) | (~v88(constB35, 0))))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38469, 15814])).
% 7.78/6.02 tff(38471,plain,
% 7.78/6.02 ((v88(constB35, 1) | v88(constB35, 2) | (~v88(constB35, 0))) | v88(constB35, 0)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38472,plain,
% 7.78/6.02 (v88(constB35, 1) | v88(constB35, 2) | (~v88(constB35, 0))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38471, 38442])).
% 7.78/6.02 tff(38473,plain,
% 7.78/6.02 ((~(v140(constB35) <=> (~(v88(constB35, 1) | v88(constB35, 2) | (~v88(constB35, 0)))))) | (~v140(constB35)) | (~(v88(constB35, 1) | v88(constB35, 2) | (~v88(constB35, 0))))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38474,plain,
% 7.78/6.02 (~v140(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38473, 38472, 38470])).
% 7.78/6.02 tff(38475,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB35) <=> (~(v88(constB35, 0) | v88(constB35, 1) | v88(constB35, 2))))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38476,plain,
% 7.78/6.02 (v139(constB35) <=> (~(v88(constB35, 0) | v88(constB35, 1) | v88(constB35, 2)))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38475, 15795])).
% 7.78/6.02 tff(38477,plain,
% 7.78/6.02 ((v88(constB35, 0) | v88(constB35, 1) | v88(constB35, 2)) | (~v88(constB35, 2))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38478,plain,
% 7.78/6.02 (v88(constB35, 0) | v88(constB35, 1) | v88(constB35, 2)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38477, 38438])).
% 7.78/6.02 tff(38479,plain,
% 7.78/6.02 ((~(v139(constB35) <=> (~(v88(constB35, 0) | v88(constB35, 1) | v88(constB35, 2))))) | (~v139(constB35)) | (~(v88(constB35, 0) | v88(constB35, 1) | v88(constB35, 2)))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38480,plain,
% 7.78/6.02 (~v139(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38479, 38478, 38476])).
% 7.78/6.02 tff(38481,plain,
% 7.78/6.02 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB35) | v139(constB35) | (~v170(constB35)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB35) | v139(constB35) | (~v170(constB35)))),
% 7.78/6.02 inference(rewrite,[status(thm)],[])).
% 7.78/6.02 tff(38482,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB35) | v139(constB35) | (~v170(constB35)))),
% 7.78/6.02 inference(quant_inst,[status(thm)],[])).
% 7.78/6.02 tff(38483,plain,
% 7.78/6.02 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB35) | v139(constB35) | (~v170(constB35))),
% 7.78/6.02 inference(modus_ponens,[status(thm)],[38482, 38481])).
% 7.78/6.02 tff(38484,plain,
% 7.78/6.02 (v140(constB35) | v139(constB35) | (~v170(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38483, 15833])).
% 7.78/6.02 tff(38485,plain,
% 7.78/6.02 (~v170(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38484, 38480, 38474])).
% 7.78/6.02 tff(38486,plain,
% 7.78/6.02 ((~(v163(constB35) <=> v170(constB35))) | (~v163(constB35)) | v170(constB35)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38487,plain,
% 7.78/6.02 ((~(v163(constB35) <=> v170(constB35))) | (~v163(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38486, 38485])).
% 7.78/6.02 tff(38488,plain,
% 7.78/6.02 (~v163(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38487, 38468])).
% 7.78/6.02 tff(38489,plain,
% 7.78/6.02 ((~(v161(constB35) <=> v163(constB35))) | (~v161(constB35)) | v163(constB35)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38490,plain,
% 7.78/6.02 ((~(v161(constB35) <=> v163(constB35))) | (~v161(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38489, 38488])).
% 7.78/6.02 tff(38491,plain,
% 7.78/6.02 (~v161(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38490, 38419])).
% 7.78/6.02 tff(38492,plain,
% 7.78/6.02 (((~v185(constB35)) | (~v161(constB35))) | v161(constB35)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38493,plain,
% 7.78/6.02 ((~v185(constB35)) | (~v161(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38492, 38491])).
% 7.78/6.02 tff(38494,plain,
% 7.78/6.02 ((~(v184(constB35) <=> (~((~v185(constB35)) | (~v161(constB35)))))) | (~v184(constB35)) | (~((~v185(constB35)) | (~v161(constB35))))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38495,plain,
% 7.78/6.02 (~v184(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38494, 38493, 38417])).
% 7.78/6.02 tff(38496,plain,
% 7.78/6.02 (((~v183(constB35)) | (~v184(constB35))) | v184(constB35)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38497,plain,
% 7.78/6.02 ((~v183(constB35)) | (~v184(constB35))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38496, 38495])).
% 7.78/6.02 tff(38498,plain,
% 7.78/6.02 ((~(v180(constB35) <=> (~((~v183(constB35)) | (~v184(constB35)))))) | (~v180(constB35)) | (~((~v183(constB35)) | (~v184(constB35))))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38499,plain,
% 7.78/6.02 (~v180(constB35)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38498, 38497, 38415])).
% 7.78/6.02 tff(38500,plain,
% 7.78/6.02 ((~(v182(constB36) <=> v180(constB35))) | (~v182(constB36)) | v180(constB35)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38501,plain,
% 7.78/6.02 (~v182(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38500, 38499, 38413])).
% 7.78/6.02 tff(38502,plain,
% 7.78/6.02 ((~(v159(constB36) <=> v182(constB36))) | (~v159(constB36)) | v182(constB36)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38503,plain,
% 7.78/6.02 (~v159(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38502, 38501, 38409])).
% 7.78/6.02 tff(38504,plain,
% 7.78/6.02 (((~v159(constB36)) | (~v194(constB36))) | v159(constB36)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38505,plain,
% 7.78/6.02 ((~v159(constB36)) | (~v194(constB36))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38504, 38503])).
% 7.78/6.02 tff(38506,plain,
% 7.78/6.02 ((~(v196(constB36) <=> (~((~v159(constB36)) | (~v194(constB36)))))) | (~v196(constB36)) | (~((~v159(constB36)) | (~v194(constB36))))),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38507,plain,
% 7.78/6.02 (~v196(constB36)),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38506, 38505, 38407])).
% 7.78/6.02 tff(38508,plain,
% 7.78/6.02 ((~(v193(constB36) | v196(constB36))) | v193(constB36) | v196(constB36)),
% 7.78/6.02 inference(tautology,[status(thm)],[])).
% 7.78/6.02 tff(38509,plain,
% 7.78/6.02 (~(v193(constB36) | v196(constB36))),
% 7.78/6.02 inference(unit_resolution,[status(thm)],[38508, 38507, 38400])).
% 7.78/6.02 tff(38510,plain,
% 7.78/6.02 ((~(v190(constB36) <=> (v193(constB36) | v196(constB36)))) | (~v190(constB36)) | (v193(constB36) | v196(constB36))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38511,plain,
% 7.78/6.03 (~v190(constB36)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38510, 38509, 38254])).
% 7.78/6.03 tff(38512,plain,
% 7.78/6.03 ((~(v192(constB37) <=> v190(constB36))) | (~v192(constB37)) | v190(constB36)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38513,plain,
% 7.78/6.03 (~v192(constB37)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38512, 38511, 38252])).
% 7.78/6.03 tff(38514,plain,
% 7.78/6.03 ((~(v157(constB37) <=> v192(constB37))) | (~v157(constB37)) | v192(constB37)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38515,plain,
% 7.78/6.03 (~v157(constB37)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38514, 38513, 38248])).
% 7.78/6.03 tff(38516,plain,
% 7.78/6.03 (((~v157(constB37)) | (~v202(constB37))) | v157(constB37)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38517,plain,
% 7.78/6.03 ((~v157(constB37)) | (~v202(constB37))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38516, 38515])).
% 7.78/6.03 tff(38518,plain,
% 7.78/6.03 ((~(v201(constB37) <=> (~((~v157(constB37)) | (~v202(constB37)))))) | (~v201(constB37)) | (~((~v157(constB37)) | (~v202(constB37))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38519,plain,
% 7.78/6.03 (~v201(constB37)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38518, 38517, 38246])).
% 7.78/6.03 tff(38520,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB37) <=> (~((~v159(constB37)) | (~v202(constB37)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB37) <=> (~((~v159(constB37)) | (~v202(constB37))))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38521,plain,
% 7.78/6.03 ((v205(constB37) <=> (~((~v202(constB37)) | (~v159(constB37))))) <=> (v205(constB37) <=> (~((~v159(constB37)) | (~v202(constB37)))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38522,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB37) <=> (~((~v202(constB37)) | (~v159(constB37)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB37) <=> (~((~v159(constB37)) | (~v202(constB37))))))),
% 7.78/6.03 inference(monotonicity,[status(thm)],[38521])).
% 7.78/6.03 tff(38523,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB37) <=> (~((~v202(constB37)) | (~v159(constB37)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB37) <=> (~((~v159(constB37)) | (~v202(constB37))))))),
% 7.78/6.03 inference(transitivity,[status(thm)],[38522, 38520])).
% 7.78/6.03 tff(38524,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB37) <=> (~((~v202(constB37)) | (~v159(constB37)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38525,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB37) <=> (~((~v159(constB37)) | (~v202(constB37)))))),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[38524, 38523])).
% 7.78/6.03 tff(38526,plain,
% 7.78/6.03 (v205(constB37) <=> (~((~v159(constB37)) | (~v202(constB37))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38525, 138])).
% 7.78/6.03 tff(38527,plain,
% 7.78/6.03 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB37) <=> v182(constB37))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38528,plain,
% 7.78/6.03 (v159(constB37) <=> v182(constB37)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38527, 15113])).
% 7.78/6.03 tff(38529,plain,
% 7.78/6.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB36, constB37)) | (v182(constB37) <=> v180(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB36, constB37)) | (v182(constB37) <=> v180(constB36)))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38530,plain,
% 7.78/6.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB36, constB37)) | (v182(constB37) <=> v180(constB36)))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38531,plain,
% 7.78/6.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB36, constB37)) | (v182(constB37) <=> v180(constB36))),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[38530, 38529])).
% 7.78/6.03 tff(38532,plain,
% 7.78/6.03 (v182(constB37) <=> v180(constB36)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38531, 3354, 15125])).
% 7.78/6.03 tff(38533,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB36) <=> (~((~v183(constB36)) | (~v184(constB36)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38534,plain,
% 7.78/6.03 (v180(constB36) <=> (~((~v183(constB36)) | (~v184(constB36))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38533, 15139])).
% 7.78/6.03 tff(38535,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB36) <=> (~((~v185(constB36)) | (~v161(constB36)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38536,plain,
% 7.78/6.03 (v184(constB36) <=> (~((~v185(constB36)) | (~v161(constB36))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38535, 15151])).
% 7.78/6.03 tff(38537,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38538,plain,
% 7.78/6.03 (v185(constB36) <=> (~((~v39(constB36)) | (~v9(constB36))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38537, 93])).
% 7.78/6.03 tff(38539,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB36)) <=> v1(constB36))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38540,plain,
% 7.78/6.03 ((~v39(constB36)) <=> v1(constB36)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38539, 102])).
% 7.78/6.03 tff(38541,plain,
% 7.78/6.03 ((~((~v39(constB36)) <=> v1(constB36))) | (~v39(constB36)) | (~v1(constB36))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38542,plain,
% 7.78/6.03 ((~((~v39(constB36)) <=> v1(constB36))) | (~v39(constB36))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38541, 7573])).
% 7.78/6.03 tff(38543,plain,
% 7.78/6.03 (~v39(constB36)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38542, 38540])).
% 7.78/6.03 tff(38544,plain,
% 7.78/6.03 (((~v39(constB36)) | (~v9(constB36))) | v39(constB36)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38545,plain,
% 7.78/6.03 ((~v39(constB36)) | (~v9(constB36))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38544, 38543])).
% 7.78/6.03 tff(38546,plain,
% 7.78/6.03 ((~(v185(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))) | (~v185(constB36)) | (~((~v39(constB36)) | (~v9(constB36))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38547,plain,
% 7.78/6.03 ((~(v185(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))) | (~v185(constB36))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38546, 38545])).
% 7.78/6.03 tff(38548,plain,
% 7.78/6.03 (~v185(constB36)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38547, 38538])).
% 7.78/6.03 tff(38549,plain,
% 7.78/6.03 (((~v185(constB36)) | (~v161(constB36))) | v185(constB36)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38550,plain,
% 7.78/6.03 ((~v185(constB36)) | (~v161(constB36))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38549, 38548])).
% 7.78/6.03 tff(38551,plain,
% 7.78/6.03 ((~(v184(constB36) <=> (~((~v185(constB36)) | (~v161(constB36)))))) | (~v184(constB36)) | (~((~v185(constB36)) | (~v161(constB36))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38552,plain,
% 7.78/6.03 ((~(v184(constB36) <=> (~((~v185(constB36)) | (~v161(constB36)))))) | (~v184(constB36))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38551, 38550])).
% 7.78/6.03 tff(38553,plain,
% 7.78/6.03 (~v184(constB36)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38552, 38536])).
% 7.78/6.03 tff(38554,plain,
% 7.78/6.03 (((~v183(constB36)) | (~v184(constB36))) | v184(constB36)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38555,plain,
% 7.78/6.03 ((~v183(constB36)) | (~v184(constB36))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38554, 38553])).
% 7.78/6.03 tff(38556,plain,
% 7.78/6.03 ((~(v180(constB36) <=> (~((~v183(constB36)) | (~v184(constB36)))))) | (~v180(constB36)) | (~((~v183(constB36)) | (~v184(constB36))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38557,plain,
% 7.78/6.03 (~v180(constB36)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38556, 38555, 38534])).
% 7.78/6.03 tff(38558,plain,
% 7.78/6.03 ((~(v182(constB37) <=> v180(constB36))) | (~v182(constB37)) | v180(constB36)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38559,plain,
% 7.78/6.03 (~v182(constB37)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38558, 38557, 38532])).
% 7.78/6.03 tff(38560,plain,
% 7.78/6.03 ((~(v159(constB37) <=> v182(constB37))) | (~v159(constB37)) | v182(constB37)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38561,plain,
% 7.78/6.03 (~v159(constB37)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38560, 38559, 38528])).
% 7.78/6.03 tff(38562,plain,
% 7.78/6.03 (((~v159(constB37)) | (~v202(constB37))) | v159(constB37)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38563,plain,
% 7.78/6.03 ((~v159(constB37)) | (~v202(constB37))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38562, 38561])).
% 7.78/6.03 tff(38564,plain,
% 7.78/6.03 ((~(v205(constB37) <=> (~((~v159(constB37)) | (~v202(constB37)))))) | (~v205(constB37)) | (~((~v159(constB37)) | (~v202(constB37))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38565,plain,
% 7.78/6.03 (~v205(constB37)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38564, 38563, 38526])).
% 7.78/6.03 tff(38566,plain,
% 7.78/6.03 ((~(v201(constB37) | v205(constB37))) | v201(constB37) | v205(constB37)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38567,plain,
% 7.78/6.03 ((~(v201(constB37) | v205(constB37))) | v201(constB37)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38566, 38565])).
% 7.78/6.03 tff(38568,plain,
% 7.78/6.03 (~(v201(constB37) | v205(constB37))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38567, 38519])).
% 7.78/6.03 tff(38569,plain,
% 7.78/6.03 ((~(v200(constB37) <=> (v201(constB37) | v205(constB37)))) | (~v200(constB37)) | (v201(constB37) | v205(constB37))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38570,plain,
% 7.78/6.03 (~v200(constB37)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38569, 38568, 38239])).
% 7.78/6.03 tff(38571,plain,
% 7.78/6.03 ($false),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38570, 38237])).
% 7.78/6.03 tff(38572,plain,(~(constB37 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/6.03 tff(38573,assumption,(constB116 = VarCurr!0), introduced(assumption)).
% 7.78/6.03 tff(38574,plain,
% 7.78/6.03 (v200(constB116) <=> v200(VarCurr!0)),
% 7.78/6.03 inference(monotonicity,[status(thm)],[38573])).
% 7.78/6.03 tff(38575,plain,
% 7.78/6.03 (v200(VarCurr!0) <=> v200(constB116)),
% 7.78/6.03 inference(symmetry,[status(thm)],[38574])).
% 7.78/6.03 tff(38576,plain,
% 7.78/6.03 (v200(constB116)),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[27, 38575])).
% 7.78/6.03 tff(38577,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB116) <=> (v201(constB116) | v205(constB116)))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38578,plain,
% 7.78/6.03 (v200(constB116) <=> (v201(constB116) | v205(constB116))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38577, 35])).
% 7.78/6.03 tff(38579,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB116) <=> (~((~v157(constB116)) | (~v202(constB116)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB116) <=> (~((~v157(constB116)) | (~v202(constB116))))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38580,plain,
% 7.78/6.03 ((v201(constB116) <=> (~((~v202(constB116)) | (~v157(constB116))))) <=> (v201(constB116) <=> (~((~v157(constB116)) | (~v202(constB116)))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38581,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB116) <=> (~((~v202(constB116)) | (~v157(constB116)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB116) <=> (~((~v157(constB116)) | (~v202(constB116))))))),
% 7.78/6.03 inference(monotonicity,[status(thm)],[38580])).
% 7.78/6.03 tff(38582,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB116) <=> (~((~v202(constB116)) | (~v157(constB116)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB116) <=> (~((~v157(constB116)) | (~v202(constB116))))))),
% 7.78/6.03 inference(transitivity,[status(thm)],[38581, 38579])).
% 7.78/6.03 tff(38583,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB116) <=> (~((~v202(constB116)) | (~v157(constB116)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38584,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB116) <=> (~((~v157(constB116)) | (~v202(constB116)))))),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[38583, 38582])).
% 7.78/6.03 tff(38585,plain,
% 7.78/6.03 (v201(constB116) <=> (~((~v157(constB116)) | (~v202(constB116))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38584, 47])).
% 7.78/6.03 tff(38586,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB116) <=> (~((~v183(constB116)) | (~v203(constB116)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38587,plain,
% 7.78/6.03 (v202(constB116) <=> (~((~v183(constB116)) | (~v203(constB116))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38586, 64])).
% 7.78/6.03 tff(38588,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB116) <=> (~((~v185(constB116)) | (~v204(constB116)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB116) <=> (~((~v185(constB116)) | (~v204(constB116))))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38589,plain,
% 7.78/6.03 ((v203(constB116) <=> (~((~v204(constB116)) | (~v185(constB116))))) <=> (v203(constB116) <=> (~((~v185(constB116)) | (~v204(constB116)))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38590,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB116) <=> (~((~v204(constB116)) | (~v185(constB116)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB116) <=> (~((~v185(constB116)) | (~v204(constB116))))))),
% 7.78/6.03 inference(monotonicity,[status(thm)],[38589])).
% 7.78/6.03 tff(38591,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB116) <=> (~((~v204(constB116)) | (~v185(constB116)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB116) <=> (~((~v185(constB116)) | (~v204(constB116))))))),
% 7.78/6.03 inference(transitivity,[status(thm)],[38590, 38588])).
% 7.78/6.03 tff(38592,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB116) <=> (~((~v204(constB116)) | (~v185(constB116)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38593,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB116) <=> (~((~v185(constB116)) | (~v204(constB116)))))),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[38592, 38591])).
% 7.78/6.03 tff(38594,plain,
% 7.78/6.03 (v203(constB116) <=> (~((~v185(constB116)) | (~v204(constB116))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38593, 76])).
% 7.78/6.03 tff(38595,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38596,plain,
% 7.78/6.03 (v185(constB116) <=> (~((~v39(constB116)) | (~v9(constB116))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38595, 93])).
% 7.78/6.03 tff(38597,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB116)) <=> v1(constB116))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38598,plain,
% 7.78/6.03 ((~v39(constB116)) <=> v1(constB116)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38597, 102])).
% 7.78/6.03 tff(38599,plain,
% 7.78/6.03 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116)) | (~v1(constB116))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38600,plain,
% 7.78/6.03 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38599, 13966])).
% 7.78/6.03 tff(38601,plain,
% 7.78/6.03 (~v39(constB116)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38600, 38598])).
% 7.78/6.03 tff(38602,plain,
% 7.78/6.03 (((~v39(constB116)) | (~v9(constB116))) | v39(constB116)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38603,plain,
% 7.78/6.03 ((~v39(constB116)) | (~v9(constB116))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38602, 38601])).
% 7.78/6.03 tff(38604,plain,
% 7.78/6.03 ((~(v185(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v185(constB116)) | (~((~v39(constB116)) | (~v9(constB116))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38605,plain,
% 7.78/6.03 ((~(v185(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v185(constB116))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38604, 38603])).
% 7.78/6.03 tff(38606,plain,
% 7.78/6.03 (~v185(constB116)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38605, 38596])).
% 7.78/6.03 tff(38607,plain,
% 7.78/6.03 (((~v185(constB116)) | (~v204(constB116))) | v185(constB116)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38608,plain,
% 7.78/6.03 ((~v185(constB116)) | (~v204(constB116))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38607, 38606])).
% 7.78/6.03 tff(38609,plain,
% 7.78/6.03 ((~(v203(constB116) <=> (~((~v185(constB116)) | (~v204(constB116)))))) | (~v203(constB116)) | (~((~v185(constB116)) | (~v204(constB116))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38610,plain,
% 7.78/6.03 ((~(v203(constB116) <=> (~((~v185(constB116)) | (~v204(constB116)))))) | (~v203(constB116))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38609, 38608])).
% 7.78/6.03 tff(38611,plain,
% 7.78/6.03 (~v203(constB116)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38610, 38594])).
% 7.78/6.03 tff(38612,plain,
% 7.78/6.03 (((~v183(constB116)) | (~v203(constB116))) | v203(constB116)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38613,plain,
% 7.78/6.03 ((~v183(constB116)) | (~v203(constB116))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38612, 38611])).
% 7.78/6.03 tff(38614,plain,
% 7.78/6.03 ((~(v202(constB116) <=> (~((~v183(constB116)) | (~v203(constB116)))))) | (~v202(constB116)) | (~((~v183(constB116)) | (~v203(constB116))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38615,plain,
% 7.78/6.03 (~v202(constB116)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38614, 38613, 38587])).
% 7.78/6.03 tff(38616,plain,
% 7.78/6.03 (((~v157(constB116)) | (~v202(constB116))) | v202(constB116)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38617,plain,
% 7.78/6.03 ((~v157(constB116)) | (~v202(constB116))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38616, 38615])).
% 7.78/6.03 tff(38618,plain,
% 7.78/6.03 ((~(v201(constB116) <=> (~((~v157(constB116)) | (~v202(constB116)))))) | (~v201(constB116)) | (~((~v157(constB116)) | (~v202(constB116))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38619,plain,
% 7.78/6.03 (~v201(constB116)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38618, 38617, 38585])).
% 7.78/6.03 tff(38620,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB116) <=> (~((~v159(constB116)) | (~v202(constB116)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB116) <=> (~((~v159(constB116)) | (~v202(constB116))))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38621,plain,
% 7.78/6.03 ((v205(constB116) <=> (~((~v202(constB116)) | (~v159(constB116))))) <=> (v205(constB116) <=> (~((~v159(constB116)) | (~v202(constB116)))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38622,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB116) <=> (~((~v202(constB116)) | (~v159(constB116)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB116) <=> (~((~v159(constB116)) | (~v202(constB116))))))),
% 7.78/6.03 inference(monotonicity,[status(thm)],[38621])).
% 7.78/6.03 tff(38623,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB116) <=> (~((~v202(constB116)) | (~v159(constB116)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB116) <=> (~((~v159(constB116)) | (~v202(constB116))))))),
% 7.78/6.03 inference(transitivity,[status(thm)],[38622, 38620])).
% 7.78/6.03 tff(38624,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB116) <=> (~((~v202(constB116)) | (~v159(constB116)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38625,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB116) <=> (~((~v159(constB116)) | (~v202(constB116)))))),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[38624, 38623])).
% 7.78/6.03 tff(38626,plain,
% 7.78/6.03 (v205(constB116) <=> (~((~v159(constB116)) | (~v202(constB116))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38625, 138])).
% 7.78/6.03 tff(38627,plain,
% 7.78/6.03 (((~v159(constB116)) | (~v202(constB116))) | v202(constB116)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38628,plain,
% 7.78/6.03 ((~v159(constB116)) | (~v202(constB116))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38627, 38615])).
% 7.78/6.03 tff(38629,plain,
% 7.78/6.03 ((~(v205(constB116) <=> (~((~v159(constB116)) | (~v202(constB116)))))) | (~v205(constB116)) | (~((~v159(constB116)) | (~v202(constB116))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38630,plain,
% 7.78/6.03 (~v205(constB116)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38629, 38628, 38626])).
% 7.78/6.03 tff(38631,plain,
% 7.78/6.03 ((~(v201(constB116) | v205(constB116))) | v201(constB116) | v205(constB116)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38632,plain,
% 7.78/6.03 (~(v201(constB116) | v205(constB116))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38631, 38630, 38619])).
% 7.78/6.03 tff(38633,plain,
% 7.78/6.03 ((~(v200(constB116) <=> (v201(constB116) | v205(constB116)))) | (~v200(constB116)) | (v201(constB116) | v205(constB116))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38634,plain,
% 7.78/6.03 ((~(v200(constB116) <=> (v201(constB116) | v205(constB116)))) | (~v200(constB116))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38633, 38632])).
% 7.78/6.03 tff(38635,plain,
% 7.78/6.03 (~v200(constB116)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38634, 38578])).
% 7.78/6.03 tff(38636,plain,
% 7.78/6.03 ($false),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38635, 38576])).
% 7.78/6.03 tff(38637,plain,(~(constB116 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/6.03 tff(38638,assumption,(constB1 = VarCurr!0), introduced(assumption)).
% 7.78/6.03 tff(38639,plain,
% 7.78/6.03 (v200(constB1) <=> v200(VarCurr!0)),
% 7.78/6.03 inference(monotonicity,[status(thm)],[38638])).
% 7.78/6.03 tff(38640,plain,
% 7.78/6.03 (v200(VarCurr!0) <=> v200(constB1)),
% 7.78/6.03 inference(symmetry,[status(thm)],[38639])).
% 7.78/6.03 tff(38641,plain,
% 7.78/6.03 (v200(constB1)),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[27, 38640])).
% 7.78/6.03 tff(38642,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB1) <=> (v201(constB1) | v205(constB1)))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38643,plain,
% 7.78/6.03 (v200(constB1) <=> (v201(constB1) | v205(constB1))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38642, 35])).
% 7.78/6.03 tff(38644,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB1) <=> (~((~v157(constB1)) | (~v202(constB1)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB1) <=> (~((~v157(constB1)) | (~v202(constB1))))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38645,plain,
% 7.78/6.03 ((v201(constB1) <=> (~((~v202(constB1)) | (~v157(constB1))))) <=> (v201(constB1) <=> (~((~v157(constB1)) | (~v202(constB1)))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38646,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB1) <=> (~((~v202(constB1)) | (~v157(constB1)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB1) <=> (~((~v157(constB1)) | (~v202(constB1))))))),
% 7.78/6.03 inference(monotonicity,[status(thm)],[38645])).
% 7.78/6.03 tff(38647,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB1) <=> (~((~v202(constB1)) | (~v157(constB1)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB1) <=> (~((~v157(constB1)) | (~v202(constB1))))))),
% 7.78/6.03 inference(transitivity,[status(thm)],[38646, 38644])).
% 7.78/6.03 tff(38648,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB1) <=> (~((~v202(constB1)) | (~v157(constB1)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38649,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB1) <=> (~((~v157(constB1)) | (~v202(constB1)))))),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[38648, 38647])).
% 7.78/6.03 tff(38650,plain,
% 7.78/6.03 (v201(constB1) <=> (~((~v157(constB1)) | (~v202(constB1))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38649, 47])).
% 7.78/6.03 tff(38651,plain,
% 7.78/6.03 (((~v157(constB1)) | (~v202(constB1))) | v157(constB1)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38652,plain,
% 7.78/6.03 ((~v157(constB1)) | (~v202(constB1))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38651, 26945])).
% 7.78/6.03 tff(38653,plain,
% 7.78/6.03 ((~(v201(constB1) <=> (~((~v157(constB1)) | (~v202(constB1)))))) | (~v201(constB1)) | (~((~v157(constB1)) | (~v202(constB1))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38654,plain,
% 7.78/6.03 ((~(v201(constB1) <=> (~((~v157(constB1)) | (~v202(constB1)))))) | (~v201(constB1))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38653, 38652])).
% 7.78/6.03 tff(38655,plain,
% 7.78/6.03 (~v201(constB1)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38654, 38650])).
% 7.78/6.03 tff(38656,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB1) <=> (~((~v159(constB1)) | (~v202(constB1)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB1) <=> (~((~v159(constB1)) | (~v202(constB1))))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38657,plain,
% 7.78/6.03 ((v205(constB1) <=> (~((~v202(constB1)) | (~v159(constB1))))) <=> (v205(constB1) <=> (~((~v159(constB1)) | (~v202(constB1)))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38658,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB1) <=> (~((~v202(constB1)) | (~v159(constB1)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB1) <=> (~((~v159(constB1)) | (~v202(constB1))))))),
% 7.78/6.03 inference(monotonicity,[status(thm)],[38657])).
% 7.78/6.03 tff(38659,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB1) <=> (~((~v202(constB1)) | (~v159(constB1)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB1) <=> (~((~v159(constB1)) | (~v202(constB1))))))),
% 7.78/6.03 inference(transitivity,[status(thm)],[38658, 38656])).
% 7.78/6.03 tff(38660,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB1) <=> (~((~v202(constB1)) | (~v159(constB1)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38661,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB1) <=> (~((~v159(constB1)) | (~v202(constB1)))))),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[38660, 38659])).
% 7.78/6.03 tff(38662,plain,
% 7.78/6.03 (v205(constB1) <=> (~((~v159(constB1)) | (~v202(constB1))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38661, 138])).
% 7.78/6.03 tff(38663,plain,
% 7.78/6.03 (((~v159(constB1)) | (~v202(constB1))) | v159(constB1)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38664,plain,
% 7.78/6.03 ((~v159(constB1)) | (~v202(constB1))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38663, 26892])).
% 7.78/6.03 tff(38665,plain,
% 7.78/6.03 ((~(v205(constB1) <=> (~((~v159(constB1)) | (~v202(constB1)))))) | (~v205(constB1)) | (~((~v159(constB1)) | (~v202(constB1))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38666,plain,
% 7.78/6.03 ((~(v205(constB1) <=> (~((~v159(constB1)) | (~v202(constB1)))))) | (~v205(constB1))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38665, 38664])).
% 7.78/6.03 tff(38667,plain,
% 7.78/6.03 (~v205(constB1)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38666, 38662])).
% 7.78/6.03 tff(38668,plain,
% 7.78/6.03 ((~(v201(constB1) | v205(constB1))) | v201(constB1) | v205(constB1)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38669,plain,
% 7.78/6.03 (~(v201(constB1) | v205(constB1))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38668, 38667, 38655])).
% 7.78/6.03 tff(38670,plain,
% 7.78/6.03 ((~(v200(constB1) <=> (v201(constB1) | v205(constB1)))) | (~v200(constB1)) | (v201(constB1) | v205(constB1))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38671,plain,
% 7.78/6.03 ((~(v200(constB1) <=> (v201(constB1) | v205(constB1)))) | (~v200(constB1))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38670, 38669])).
% 7.78/6.03 tff(38672,plain,
% 7.78/6.03 (~v200(constB1)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38671, 38643])).
% 7.78/6.03 tff(38673,plain,
% 7.78/6.03 ($false),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38672, 38641])).
% 7.78/6.03 tff(38674,plain,(~(constB1 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/6.03 tff(38675,assumption,(constB118 = VarCurr!0), introduced(assumption)).
% 7.78/6.03 tff(38676,plain,
% 7.78/6.03 (v200(constB118) <=> v200(VarCurr!0)),
% 7.78/6.03 inference(monotonicity,[status(thm)],[38675])).
% 7.78/6.03 tff(38677,plain,
% 7.78/6.03 (v200(VarCurr!0) <=> v200(constB118)),
% 7.78/6.03 inference(symmetry,[status(thm)],[38676])).
% 7.78/6.03 tff(38678,plain,
% 7.78/6.03 (v200(constB118)),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[27, 38677])).
% 7.78/6.03 tff(38679,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB118) <=> (v201(constB118) | v205(constB118)))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38680,plain,
% 7.78/6.03 (v200(constB118) <=> (v201(constB118) | v205(constB118))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38679, 35])).
% 7.78/6.03 tff(38681,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB118) <=> (~((~v157(constB118)) | (~v202(constB118)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB118) <=> (~((~v157(constB118)) | (~v202(constB118))))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38682,plain,
% 7.78/6.03 ((v201(constB118) <=> (~((~v202(constB118)) | (~v157(constB118))))) <=> (v201(constB118) <=> (~((~v157(constB118)) | (~v202(constB118)))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38683,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB118) <=> (~((~v202(constB118)) | (~v157(constB118)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB118) <=> (~((~v157(constB118)) | (~v202(constB118))))))),
% 7.78/6.03 inference(monotonicity,[status(thm)],[38682])).
% 7.78/6.03 tff(38684,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB118) <=> (~((~v202(constB118)) | (~v157(constB118)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB118) <=> (~((~v157(constB118)) | (~v202(constB118))))))),
% 7.78/6.03 inference(transitivity,[status(thm)],[38683, 38681])).
% 7.78/6.03 tff(38685,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB118) <=> (~((~v202(constB118)) | (~v157(constB118)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38686,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB118) <=> (~((~v157(constB118)) | (~v202(constB118)))))),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[38685, 38684])).
% 7.78/6.03 tff(38687,plain,
% 7.78/6.03 (v201(constB118) <=> (~((~v157(constB118)) | (~v202(constB118))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38686, 47])).
% 7.78/6.03 tff(38688,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB118) <=> (~((~v183(constB118)) | (~v203(constB118)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38689,plain,
% 7.78/6.03 (v202(constB118) <=> (~((~v183(constB118)) | (~v203(constB118))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38688, 64])).
% 7.78/6.03 tff(38690,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB118) <=> (~((~v185(constB118)) | (~v204(constB118)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB118) <=> (~((~v185(constB118)) | (~v204(constB118))))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38691,plain,
% 7.78/6.03 ((v203(constB118) <=> (~((~v204(constB118)) | (~v185(constB118))))) <=> (v203(constB118) <=> (~((~v185(constB118)) | (~v204(constB118)))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38692,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB118) <=> (~((~v204(constB118)) | (~v185(constB118)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB118) <=> (~((~v185(constB118)) | (~v204(constB118))))))),
% 7.78/6.03 inference(monotonicity,[status(thm)],[38691])).
% 7.78/6.03 tff(38693,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB118) <=> (~((~v204(constB118)) | (~v185(constB118)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB118) <=> (~((~v185(constB118)) | (~v204(constB118))))))),
% 7.78/6.03 inference(transitivity,[status(thm)],[38692, 38690])).
% 7.78/6.03 tff(38694,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB118) <=> (~((~v204(constB118)) | (~v185(constB118)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38695,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB118) <=> (~((~v185(constB118)) | (~v204(constB118)))))),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[38694, 38693])).
% 7.78/6.03 tff(38696,plain,
% 7.78/6.03 (v203(constB118) <=> (~((~v185(constB118)) | (~v204(constB118))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38695, 76])).
% 7.78/6.03 tff(38697,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38698,plain,
% 7.78/6.03 (v185(constB118) <=> (~((~v39(constB118)) | (~v9(constB118))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38697, 93])).
% 7.78/6.03 tff(38699,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB118)) <=> v1(constB118))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38700,plain,
% 7.78/6.03 ((~v39(constB118)) <=> v1(constB118)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38699, 102])).
% 7.78/6.03 tff(38701,plain,
% 7.78/6.03 ((~((~v39(constB118)) <=> v1(constB118))) | (~v39(constB118)) | (~v1(constB118))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38702,plain,
% 7.78/6.03 ((~((~v39(constB118)) <=> v1(constB118))) | (~v39(constB118))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38701, 14103])).
% 7.78/6.03 tff(38703,plain,
% 7.78/6.03 (~v39(constB118)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38702, 38700])).
% 7.78/6.03 tff(38704,plain,
% 7.78/6.03 (((~v39(constB118)) | (~v9(constB118))) | v39(constB118)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38705,plain,
% 7.78/6.03 ((~v39(constB118)) | (~v9(constB118))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38704, 38703])).
% 7.78/6.03 tff(38706,plain,
% 7.78/6.03 ((~(v185(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))) | (~v185(constB118)) | (~((~v39(constB118)) | (~v9(constB118))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38707,plain,
% 7.78/6.03 ((~(v185(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))) | (~v185(constB118))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38706, 38705])).
% 7.78/6.03 tff(38708,plain,
% 7.78/6.03 (~v185(constB118)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38707, 38698])).
% 7.78/6.03 tff(38709,plain,
% 7.78/6.03 (((~v185(constB118)) | (~v204(constB118))) | v185(constB118)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38710,plain,
% 7.78/6.03 ((~v185(constB118)) | (~v204(constB118))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38709, 38708])).
% 7.78/6.03 tff(38711,plain,
% 7.78/6.03 ((~(v203(constB118) <=> (~((~v185(constB118)) | (~v204(constB118)))))) | (~v203(constB118)) | (~((~v185(constB118)) | (~v204(constB118))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38712,plain,
% 7.78/6.03 ((~(v203(constB118) <=> (~((~v185(constB118)) | (~v204(constB118)))))) | (~v203(constB118))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38711, 38710])).
% 7.78/6.03 tff(38713,plain,
% 7.78/6.03 (~v203(constB118)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38712, 38696])).
% 7.78/6.03 tff(38714,plain,
% 7.78/6.03 (((~v183(constB118)) | (~v203(constB118))) | v203(constB118)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38715,plain,
% 7.78/6.03 ((~v183(constB118)) | (~v203(constB118))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38714, 38713])).
% 7.78/6.03 tff(38716,plain,
% 7.78/6.03 ((~(v202(constB118) <=> (~((~v183(constB118)) | (~v203(constB118)))))) | (~v202(constB118)) | (~((~v183(constB118)) | (~v203(constB118))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38717,plain,
% 7.78/6.03 (~v202(constB118)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38716, 38715, 38689])).
% 7.78/6.03 tff(38718,plain,
% 7.78/6.03 (((~v157(constB118)) | (~v202(constB118))) | v202(constB118)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38719,plain,
% 7.78/6.03 ((~v157(constB118)) | (~v202(constB118))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38718, 38717])).
% 7.78/6.03 tff(38720,plain,
% 7.78/6.03 ((~(v201(constB118) <=> (~((~v157(constB118)) | (~v202(constB118)))))) | (~v201(constB118)) | (~((~v157(constB118)) | (~v202(constB118))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38721,plain,
% 7.78/6.03 (~v201(constB118)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38720, 38719, 38687])).
% 7.78/6.03 tff(38722,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB118) <=> (~((~v159(constB118)) | (~v202(constB118)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB118) <=> (~((~v159(constB118)) | (~v202(constB118))))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38723,plain,
% 7.78/6.03 ((v205(constB118) <=> (~((~v202(constB118)) | (~v159(constB118))))) <=> (v205(constB118) <=> (~((~v159(constB118)) | (~v202(constB118)))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38724,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB118) <=> (~((~v202(constB118)) | (~v159(constB118)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB118) <=> (~((~v159(constB118)) | (~v202(constB118))))))),
% 7.78/6.03 inference(monotonicity,[status(thm)],[38723])).
% 7.78/6.03 tff(38725,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB118) <=> (~((~v202(constB118)) | (~v159(constB118)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB118) <=> (~((~v159(constB118)) | (~v202(constB118))))))),
% 7.78/6.03 inference(transitivity,[status(thm)],[38724, 38722])).
% 7.78/6.03 tff(38726,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB118) <=> (~((~v202(constB118)) | (~v159(constB118)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38727,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB118) <=> (~((~v159(constB118)) | (~v202(constB118)))))),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[38726, 38725])).
% 7.78/6.03 tff(38728,plain,
% 7.78/6.03 (v205(constB118) <=> (~((~v159(constB118)) | (~v202(constB118))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38727, 138])).
% 7.78/6.03 tff(38729,plain,
% 7.78/6.03 (((~v159(constB118)) | (~v202(constB118))) | v202(constB118)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38730,plain,
% 7.78/6.03 ((~v159(constB118)) | (~v202(constB118))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38729, 38717])).
% 7.78/6.03 tff(38731,plain,
% 7.78/6.03 ((~(v205(constB118) <=> (~((~v159(constB118)) | (~v202(constB118)))))) | (~v205(constB118)) | (~((~v159(constB118)) | (~v202(constB118))))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38732,plain,
% 7.78/6.03 (~v205(constB118)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38731, 38730, 38728])).
% 7.78/6.03 tff(38733,plain,
% 7.78/6.03 ((~(v201(constB118) | v205(constB118))) | v201(constB118) | v205(constB118)),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38734,plain,
% 7.78/6.03 (~(v201(constB118) | v205(constB118))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38733, 38732, 38721])).
% 7.78/6.03 tff(38735,plain,
% 7.78/6.03 ((~(v200(constB118) <=> (v201(constB118) | v205(constB118)))) | (~v200(constB118)) | (v201(constB118) | v205(constB118))),
% 7.78/6.03 inference(tautology,[status(thm)],[])).
% 7.78/6.03 tff(38736,plain,
% 7.78/6.03 ((~(v200(constB118) <=> (v201(constB118) | v205(constB118)))) | (~v200(constB118))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38735, 38734])).
% 7.78/6.03 tff(38737,plain,
% 7.78/6.03 (~v200(constB118)),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38736, 38680])).
% 7.78/6.03 tff(38738,plain,
% 7.78/6.03 ($false),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38737, 38678])).
% 7.78/6.03 tff(38739,plain,(~(constB118 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/6.03 tff(38740,assumption,(constB2 = VarCurr!0), introduced(assumption)).
% 7.78/6.03 tff(38741,plain,
% 7.78/6.03 (v200(constB2) <=> v200(VarCurr!0)),
% 7.78/6.03 inference(monotonicity,[status(thm)],[38740])).
% 7.78/6.03 tff(38742,plain,
% 7.78/6.03 (v200(VarCurr!0) <=> v200(constB2)),
% 7.78/6.03 inference(symmetry,[status(thm)],[38741])).
% 7.78/6.03 tff(38743,plain,
% 7.78/6.03 (v200(constB2)),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[27, 38742])).
% 7.78/6.03 tff(38744,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB2) <=> (v201(constB2) | v205(constB2)))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38745,plain,
% 7.78/6.03 (v200(constB2) <=> (v201(constB2) | v205(constB2))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38744, 35])).
% 7.78/6.03 tff(38746,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB2) <=> (~((~v157(constB2)) | (~v202(constB2)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB2) <=> (~((~v157(constB2)) | (~v202(constB2))))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38747,plain,
% 7.78/6.03 ((v201(constB2) <=> (~((~v202(constB2)) | (~v157(constB2))))) <=> (v201(constB2) <=> (~((~v157(constB2)) | (~v202(constB2)))))),
% 7.78/6.03 inference(rewrite,[status(thm)],[])).
% 7.78/6.03 tff(38748,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB2) <=> (~((~v202(constB2)) | (~v157(constB2)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB2) <=> (~((~v157(constB2)) | (~v202(constB2))))))),
% 7.78/6.03 inference(monotonicity,[status(thm)],[38747])).
% 7.78/6.03 tff(38749,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB2) <=> (~((~v202(constB2)) | (~v157(constB2)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB2) <=> (~((~v157(constB2)) | (~v202(constB2))))))),
% 7.78/6.03 inference(transitivity,[status(thm)],[38748, 38746])).
% 7.78/6.03 tff(38750,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB2) <=> (~((~v202(constB2)) | (~v157(constB2)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38751,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB2) <=> (~((~v157(constB2)) | (~v202(constB2)))))),
% 7.78/6.03 inference(modus_ponens,[status(thm)],[38750, 38749])).
% 7.78/6.03 tff(38752,plain,
% 7.78/6.03 (v201(constB2) <=> (~((~v157(constB2)) | (~v202(constB2))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38751, 47])).
% 7.78/6.03 tff(38753,plain,
% 7.78/6.03 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB2) <=> (~((~v183(constB2)) | (~v203(constB2)))))),
% 7.78/6.03 inference(quant_inst,[status(thm)],[])).
% 7.78/6.03 tff(38754,plain,
% 7.78/6.03 (v202(constB2) <=> (~((~v183(constB2)) | (~v203(constB2))))),
% 7.78/6.03 inference(unit_resolution,[status(thm)],[38753, 64])).
% 7.78/6.03 tff(38755,plain,
% 7.78/6.03 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB2) <=> (~((~v185(constB2)) | (~v204(constB2)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB2) <=> (~((~v185(constB2)) | (~v204(constB2))))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38756,plain,
% 7.78/6.04 ((v203(constB2) <=> (~((~v204(constB2)) | (~v185(constB2))))) <=> (v203(constB2) <=> (~((~v185(constB2)) | (~v204(constB2)))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38757,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB2) <=> (~((~v204(constB2)) | (~v185(constB2)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB2) <=> (~((~v185(constB2)) | (~v204(constB2))))))),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38756])).
% 7.78/6.04 tff(38758,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB2) <=> (~((~v204(constB2)) | (~v185(constB2)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB2) <=> (~((~v185(constB2)) | (~v204(constB2))))))),
% 7.78/6.04 inference(transitivity,[status(thm)],[38757, 38755])).
% 7.78/6.04 tff(38759,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB2) <=> (~((~v204(constB2)) | (~v185(constB2)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38760,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB2) <=> (~((~v185(constB2)) | (~v204(constB2)))))),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[38759, 38758])).
% 7.78/6.04 tff(38761,plain,
% 7.78/6.04 (v203(constB2) <=> (~((~v185(constB2)) | (~v204(constB2))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38760, 76])).
% 7.78/6.04 tff(38762,plain,
% 7.78/6.04 (((~v185(constB2)) | (~v204(constB2))) | v185(constB2)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38763,plain,
% 7.78/6.04 ((~v185(constB2)) | (~v204(constB2))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38762, 27120])).
% 7.78/6.04 tff(38764,plain,
% 7.78/6.04 ((~(v203(constB2) <=> (~((~v185(constB2)) | (~v204(constB2)))))) | (~v203(constB2)) | (~((~v185(constB2)) | (~v204(constB2))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38765,plain,
% 7.78/6.04 ((~(v203(constB2) <=> (~((~v185(constB2)) | (~v204(constB2)))))) | (~v203(constB2))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38764, 38763])).
% 7.78/6.04 tff(38766,plain,
% 7.78/6.04 (~v203(constB2)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38765, 38761])).
% 7.78/6.04 tff(38767,plain,
% 7.78/6.04 (((~v183(constB2)) | (~v203(constB2))) | v203(constB2)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38768,plain,
% 7.78/6.04 ((~v183(constB2)) | (~v203(constB2))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38767, 38766])).
% 7.78/6.04 tff(38769,plain,
% 7.78/6.04 ((~(v202(constB2) <=> (~((~v183(constB2)) | (~v203(constB2)))))) | (~v202(constB2)) | (~((~v183(constB2)) | (~v203(constB2))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38770,plain,
% 7.78/6.04 (~v202(constB2)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38769, 38768, 38754])).
% 7.78/6.04 tff(38771,plain,
% 7.78/6.04 (((~v157(constB2)) | (~v202(constB2))) | v202(constB2)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38772,plain,
% 7.78/6.04 ((~v157(constB2)) | (~v202(constB2))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38771, 38770])).
% 7.78/6.04 tff(38773,plain,
% 7.78/6.04 ((~(v201(constB2) <=> (~((~v157(constB2)) | (~v202(constB2)))))) | (~v201(constB2)) | (~((~v157(constB2)) | (~v202(constB2))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38774,plain,
% 7.78/6.04 (~v201(constB2)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38773, 38772, 38752])).
% 7.78/6.04 tff(38775,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB2) <=> (~((~v159(constB2)) | (~v202(constB2)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB2) <=> (~((~v159(constB2)) | (~v202(constB2))))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38776,plain,
% 7.78/6.04 ((v205(constB2) <=> (~((~v202(constB2)) | (~v159(constB2))))) <=> (v205(constB2) <=> (~((~v159(constB2)) | (~v202(constB2)))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38777,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB2) <=> (~((~v202(constB2)) | (~v159(constB2)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB2) <=> (~((~v159(constB2)) | (~v202(constB2))))))),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38776])).
% 7.78/6.04 tff(38778,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB2) <=> (~((~v202(constB2)) | (~v159(constB2)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB2) <=> (~((~v159(constB2)) | (~v202(constB2))))))),
% 7.78/6.04 inference(transitivity,[status(thm)],[38777, 38775])).
% 7.78/6.04 tff(38779,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB2) <=> (~((~v202(constB2)) | (~v159(constB2)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38780,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB2) <=> (~((~v159(constB2)) | (~v202(constB2)))))),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[38779, 38778])).
% 7.78/6.04 tff(38781,plain,
% 7.78/6.04 (v205(constB2) <=> (~((~v159(constB2)) | (~v202(constB2))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38780, 138])).
% 7.78/6.04 tff(38782,plain,
% 7.78/6.04 (((~v159(constB2)) | (~v202(constB2))) | v202(constB2)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38783,plain,
% 7.78/6.04 ((~v159(constB2)) | (~v202(constB2))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38782, 38770])).
% 7.78/6.04 tff(38784,plain,
% 7.78/6.04 ((~(v205(constB2) <=> (~((~v159(constB2)) | (~v202(constB2)))))) | (~v205(constB2)) | (~((~v159(constB2)) | (~v202(constB2))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38785,plain,
% 7.78/6.04 (~v205(constB2)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38784, 38783, 38781])).
% 7.78/6.04 tff(38786,plain,
% 7.78/6.04 ((~(v201(constB2) | v205(constB2))) | v201(constB2) | v205(constB2)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38787,plain,
% 7.78/6.04 (~(v201(constB2) | v205(constB2))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38786, 38785, 38774])).
% 7.78/6.04 tff(38788,plain,
% 7.78/6.04 ((~(v200(constB2) <=> (v201(constB2) | v205(constB2)))) | (~v200(constB2)) | (v201(constB2) | v205(constB2))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38789,plain,
% 7.78/6.04 ((~(v200(constB2) <=> (v201(constB2) | v205(constB2)))) | (~v200(constB2))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38788, 38787])).
% 7.78/6.04 tff(38790,plain,
% 7.78/6.04 (~v200(constB2)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38789, 38745])).
% 7.78/6.04 tff(38791,plain,
% 7.78/6.04 ($false),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38790, 38743])).
% 7.78/6.04 tff(38792,plain,(~(constB2 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/6.04 tff(38793,assumption,(constB180 = VarCurr!0), introduced(assumption)).
% 7.78/6.04 tff(38794,plain,
% 7.78/6.04 (v200(constB180) <=> v200(VarCurr!0)),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38793])).
% 7.78/6.04 tff(38795,plain,
% 7.78/6.04 (v200(VarCurr!0) <=> v200(constB180)),
% 7.78/6.04 inference(symmetry,[status(thm)],[38794])).
% 7.78/6.04 tff(38796,plain,
% 7.78/6.04 (v200(constB180)),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[27, 38795])).
% 7.78/6.04 tff(38797,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB180) <=> (v201(constB180) | v205(constB180)))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38798,plain,
% 7.78/6.04 (v200(constB180) <=> (v201(constB180) | v205(constB180))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38797, 35])).
% 7.78/6.04 tff(38799,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB180) <=> (~((~v157(constB180)) | (~v202(constB180)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB180) <=> (~((~v157(constB180)) | (~v202(constB180))))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38800,plain,
% 7.78/6.04 ((v201(constB180) <=> (~((~v202(constB180)) | (~v157(constB180))))) <=> (v201(constB180) <=> (~((~v157(constB180)) | (~v202(constB180)))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38801,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB180) <=> (~((~v202(constB180)) | (~v157(constB180)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB180) <=> (~((~v157(constB180)) | (~v202(constB180))))))),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38800])).
% 7.78/6.04 tff(38802,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB180) <=> (~((~v202(constB180)) | (~v157(constB180)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB180) <=> (~((~v157(constB180)) | (~v202(constB180))))))),
% 7.78/6.04 inference(transitivity,[status(thm)],[38801, 38799])).
% 7.78/6.04 tff(38803,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB180) <=> (~((~v202(constB180)) | (~v157(constB180)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38804,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB180) <=> (~((~v157(constB180)) | (~v202(constB180)))))),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[38803, 38802])).
% 7.78/6.04 tff(38805,plain,
% 7.78/6.04 (v201(constB180) <=> (~((~v157(constB180)) | (~v202(constB180))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38804, 47])).
% 7.78/6.04 tff(38806,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB180) <=> (~((~v183(constB180)) | (~v203(constB180)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38807,plain,
% 7.78/6.04 (v202(constB180) <=> (~((~v183(constB180)) | (~v203(constB180))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38806, 64])).
% 7.78/6.04 tff(38808,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB180) <=> (~((~v185(constB180)) | (~v204(constB180)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB180) <=> (~((~v185(constB180)) | (~v204(constB180))))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38809,plain,
% 7.78/6.04 ((v203(constB180) <=> (~((~v204(constB180)) | (~v185(constB180))))) <=> (v203(constB180) <=> (~((~v185(constB180)) | (~v204(constB180)))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38810,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB180) <=> (~((~v204(constB180)) | (~v185(constB180)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB180) <=> (~((~v185(constB180)) | (~v204(constB180))))))),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38809])).
% 7.78/6.04 tff(38811,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB180) <=> (~((~v204(constB180)) | (~v185(constB180)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB180) <=> (~((~v185(constB180)) | (~v204(constB180))))))),
% 7.78/6.04 inference(transitivity,[status(thm)],[38810, 38808])).
% 7.78/6.04 tff(38812,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB180) <=> (~((~v204(constB180)) | (~v185(constB180)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38813,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB180) <=> (~((~v185(constB180)) | (~v204(constB180)))))),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[38812, 38811])).
% 7.78/6.04 tff(38814,plain,
% 7.78/6.04 (v203(constB180) <=> (~((~v185(constB180)) | (~v204(constB180))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38813, 76])).
% 7.78/6.04 tff(38815,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB180) <=> (~((~v39(constB180)) | (~v9(constB180)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38816,plain,
% 7.78/6.04 (v185(constB180) <=> (~((~v39(constB180)) | (~v9(constB180))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38815, 93])).
% 7.78/6.04 tff(38817,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB180)) <=> v1(constB180))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38818,plain,
% 7.78/6.04 ((~v39(constB180)) <=> v1(constB180)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38817, 102])).
% 7.78/6.04 tff(38819,plain,
% 7.78/6.04 ((~((~v39(constB180)) <=> v1(constB180))) | (~v39(constB180)) | (~v1(constB180))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38820,plain,
% 7.78/6.04 ((~((~v39(constB180)) <=> v1(constB180))) | (~v39(constB180))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38819, 22623])).
% 7.78/6.04 tff(38821,plain,
% 7.78/6.04 (~v39(constB180)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38820, 38818])).
% 7.78/6.04 tff(38822,plain,
% 7.78/6.04 (((~v39(constB180)) | (~v9(constB180))) | v39(constB180)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38823,plain,
% 7.78/6.04 ((~v39(constB180)) | (~v9(constB180))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38822, 38821])).
% 7.78/6.04 tff(38824,plain,
% 7.78/6.04 ((~(v185(constB180) <=> (~((~v39(constB180)) | (~v9(constB180)))))) | (~v185(constB180)) | (~((~v39(constB180)) | (~v9(constB180))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38825,plain,
% 7.78/6.04 ((~(v185(constB180) <=> (~((~v39(constB180)) | (~v9(constB180)))))) | (~v185(constB180))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38824, 38823])).
% 7.78/6.04 tff(38826,plain,
% 7.78/6.04 (~v185(constB180)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38825, 38816])).
% 7.78/6.04 tff(38827,plain,
% 7.78/6.04 (((~v185(constB180)) | (~v204(constB180))) | v185(constB180)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38828,plain,
% 7.78/6.04 ((~v185(constB180)) | (~v204(constB180))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38827, 38826])).
% 7.78/6.04 tff(38829,plain,
% 7.78/6.04 ((~(v203(constB180) <=> (~((~v185(constB180)) | (~v204(constB180)))))) | (~v203(constB180)) | (~((~v185(constB180)) | (~v204(constB180))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38830,plain,
% 7.78/6.04 ((~(v203(constB180) <=> (~((~v185(constB180)) | (~v204(constB180)))))) | (~v203(constB180))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38829, 38828])).
% 7.78/6.04 tff(38831,plain,
% 7.78/6.04 (~v203(constB180)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38830, 38814])).
% 7.78/6.04 tff(38832,plain,
% 7.78/6.04 (((~v183(constB180)) | (~v203(constB180))) | v203(constB180)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38833,plain,
% 7.78/6.04 ((~v183(constB180)) | (~v203(constB180))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38832, 38831])).
% 7.78/6.04 tff(38834,plain,
% 7.78/6.04 ((~(v202(constB180) <=> (~((~v183(constB180)) | (~v203(constB180)))))) | (~v202(constB180)) | (~((~v183(constB180)) | (~v203(constB180))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38835,plain,
% 7.78/6.04 (~v202(constB180)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38834, 38833, 38807])).
% 7.78/6.04 tff(38836,plain,
% 7.78/6.04 (((~v157(constB180)) | (~v202(constB180))) | v202(constB180)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38837,plain,
% 7.78/6.04 ((~v157(constB180)) | (~v202(constB180))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38836, 38835])).
% 7.78/6.04 tff(38838,plain,
% 7.78/6.04 ((~(v201(constB180) <=> (~((~v157(constB180)) | (~v202(constB180)))))) | (~v201(constB180)) | (~((~v157(constB180)) | (~v202(constB180))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38839,plain,
% 7.78/6.04 (~v201(constB180)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38838, 38837, 38805])).
% 7.78/6.04 tff(38840,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB180) <=> (~((~v159(constB180)) | (~v202(constB180)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB180) <=> (~((~v159(constB180)) | (~v202(constB180))))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38841,plain,
% 7.78/6.04 ((v205(constB180) <=> (~((~v202(constB180)) | (~v159(constB180))))) <=> (v205(constB180) <=> (~((~v159(constB180)) | (~v202(constB180)))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38842,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB180) <=> (~((~v202(constB180)) | (~v159(constB180)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB180) <=> (~((~v159(constB180)) | (~v202(constB180))))))),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38841])).
% 7.78/6.04 tff(38843,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB180) <=> (~((~v202(constB180)) | (~v159(constB180)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB180) <=> (~((~v159(constB180)) | (~v202(constB180))))))),
% 7.78/6.04 inference(transitivity,[status(thm)],[38842, 38840])).
% 7.78/6.04 tff(38844,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB180) <=> (~((~v202(constB180)) | (~v159(constB180)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38845,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB180) <=> (~((~v159(constB180)) | (~v202(constB180)))))),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[38844, 38843])).
% 7.78/6.04 tff(38846,plain,
% 7.78/6.04 (v205(constB180) <=> (~((~v159(constB180)) | (~v202(constB180))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38845, 138])).
% 7.78/6.04 tff(38847,plain,
% 7.78/6.04 (((~v159(constB180)) | (~v202(constB180))) | v202(constB180)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38848,plain,
% 7.78/6.04 ((~v159(constB180)) | (~v202(constB180))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38847, 38835])).
% 7.78/6.04 tff(38849,plain,
% 7.78/6.04 ((~(v205(constB180) <=> (~((~v159(constB180)) | (~v202(constB180)))))) | (~v205(constB180)) | (~((~v159(constB180)) | (~v202(constB180))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38850,plain,
% 7.78/6.04 (~v205(constB180)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38849, 38848, 38846])).
% 7.78/6.04 tff(38851,plain,
% 7.78/6.04 ((~(v201(constB180) | v205(constB180))) | v201(constB180) | v205(constB180)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38852,plain,
% 7.78/6.04 (~(v201(constB180) | v205(constB180))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38851, 38850, 38839])).
% 7.78/6.04 tff(38853,plain,
% 7.78/6.04 ((~(v200(constB180) <=> (v201(constB180) | v205(constB180)))) | (~v200(constB180)) | (v201(constB180) | v205(constB180))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38854,plain,
% 7.78/6.04 ((~(v200(constB180) <=> (v201(constB180) | v205(constB180)))) | (~v200(constB180))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38853, 38852])).
% 7.78/6.04 tff(38855,plain,
% 7.78/6.04 (~v200(constB180)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38854, 38798])).
% 7.78/6.04 tff(38856,plain,
% 7.78/6.04 ($false),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38855, 38796])).
% 7.78/6.04 tff(38857,plain,(~(constB180 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/6.04 tff(38858,assumption,(constB124 = VarCurr!0), introduced(assumption)).
% 7.78/6.04 tff(38859,plain,
% 7.78/6.04 (v200(constB124) <=> v200(VarCurr!0)),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38858])).
% 7.78/6.04 tff(38860,plain,
% 7.78/6.04 (v200(VarCurr!0) <=> v200(constB124)),
% 7.78/6.04 inference(symmetry,[status(thm)],[38859])).
% 7.78/6.04 tff(38861,plain,
% 7.78/6.04 (v200(constB124)),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[27, 38860])).
% 7.78/6.04 tff(38862,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB124) <=> (v201(constB124) | v205(constB124)))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38863,plain,
% 7.78/6.04 (v200(constB124) <=> (v201(constB124) | v205(constB124))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38862, 35])).
% 7.78/6.04 tff(38864,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB124) <=> (~((~v157(constB124)) | (~v202(constB124)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB124) <=> (~((~v157(constB124)) | (~v202(constB124))))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38865,plain,
% 7.78/6.04 ((v201(constB124) <=> (~((~v202(constB124)) | (~v157(constB124))))) <=> (v201(constB124) <=> (~((~v157(constB124)) | (~v202(constB124)))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38866,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB124) <=> (~((~v202(constB124)) | (~v157(constB124)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB124) <=> (~((~v157(constB124)) | (~v202(constB124))))))),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38865])).
% 7.78/6.04 tff(38867,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB124) <=> (~((~v202(constB124)) | (~v157(constB124)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB124) <=> (~((~v157(constB124)) | (~v202(constB124))))))),
% 7.78/6.04 inference(transitivity,[status(thm)],[38866, 38864])).
% 7.78/6.04 tff(38868,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB124) <=> (~((~v202(constB124)) | (~v157(constB124)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38869,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB124) <=> (~((~v157(constB124)) | (~v202(constB124)))))),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[38868, 38867])).
% 7.78/6.04 tff(38870,plain,
% 7.78/6.04 (v201(constB124) <=> (~((~v157(constB124)) | (~v202(constB124))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38869, 47])).
% 7.78/6.04 tff(38871,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB124) <=> (~((~v183(constB124)) | (~v203(constB124)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38872,plain,
% 7.78/6.04 (v202(constB124) <=> (~((~v183(constB124)) | (~v203(constB124))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38871, 64])).
% 7.78/6.04 tff(38873,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB124) <=> (~((~v185(constB124)) | (~v204(constB124)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB124) <=> (~((~v185(constB124)) | (~v204(constB124))))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38874,plain,
% 7.78/6.04 ((v203(constB124) <=> (~((~v204(constB124)) | (~v185(constB124))))) <=> (v203(constB124) <=> (~((~v185(constB124)) | (~v204(constB124)))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38875,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB124) <=> (~((~v204(constB124)) | (~v185(constB124)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB124) <=> (~((~v185(constB124)) | (~v204(constB124))))))),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38874])).
% 7.78/6.04 tff(38876,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB124) <=> (~((~v204(constB124)) | (~v185(constB124)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB124) <=> (~((~v185(constB124)) | (~v204(constB124))))))),
% 7.78/6.04 inference(transitivity,[status(thm)],[38875, 38873])).
% 7.78/6.04 tff(38877,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB124) <=> (~((~v204(constB124)) | (~v185(constB124)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38878,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB124) <=> (~((~v185(constB124)) | (~v204(constB124)))))),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[38877, 38876])).
% 7.78/6.04 tff(38879,plain,
% 7.78/6.04 (v203(constB124) <=> (~((~v185(constB124)) | (~v204(constB124))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38878, 76])).
% 7.78/6.04 tff(38880,plain,
% 7.78/6.04 (((~v185(constB124)) | (~v204(constB124))) | v185(constB124)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38881,plain,
% 7.78/6.04 ((~v185(constB124)) | (~v204(constB124))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38880, 28623])).
% 7.78/6.04 tff(38882,plain,
% 7.78/6.04 ((~(v203(constB124) <=> (~((~v185(constB124)) | (~v204(constB124)))))) | (~v203(constB124)) | (~((~v185(constB124)) | (~v204(constB124))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38883,plain,
% 7.78/6.04 ((~(v203(constB124) <=> (~((~v185(constB124)) | (~v204(constB124)))))) | (~v203(constB124))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38882, 38881])).
% 7.78/6.04 tff(38884,plain,
% 7.78/6.04 (~v203(constB124)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38883, 38879])).
% 7.78/6.04 tff(38885,plain,
% 7.78/6.04 (((~v183(constB124)) | (~v203(constB124))) | v203(constB124)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38886,plain,
% 7.78/6.04 ((~v183(constB124)) | (~v203(constB124))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38885, 38884])).
% 7.78/6.04 tff(38887,plain,
% 7.78/6.04 ((~(v202(constB124) <=> (~((~v183(constB124)) | (~v203(constB124)))))) | (~v202(constB124)) | (~((~v183(constB124)) | (~v203(constB124))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38888,plain,
% 7.78/6.04 (~v202(constB124)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38887, 38886, 38872])).
% 7.78/6.04 tff(38889,plain,
% 7.78/6.04 (((~v157(constB124)) | (~v202(constB124))) | v202(constB124)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38890,plain,
% 7.78/6.04 ((~v157(constB124)) | (~v202(constB124))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38889, 38888])).
% 7.78/6.04 tff(38891,plain,
% 7.78/6.04 ((~(v201(constB124) <=> (~((~v157(constB124)) | (~v202(constB124)))))) | (~v201(constB124)) | (~((~v157(constB124)) | (~v202(constB124))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38892,plain,
% 7.78/6.04 (~v201(constB124)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38891, 38890, 38870])).
% 7.78/6.04 tff(38893,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB124) <=> (~((~v159(constB124)) | (~v202(constB124)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB124) <=> (~((~v159(constB124)) | (~v202(constB124))))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38894,plain,
% 7.78/6.04 ((v205(constB124) <=> (~((~v202(constB124)) | (~v159(constB124))))) <=> (v205(constB124) <=> (~((~v159(constB124)) | (~v202(constB124)))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38895,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB124) <=> (~((~v202(constB124)) | (~v159(constB124)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB124) <=> (~((~v159(constB124)) | (~v202(constB124))))))),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38894])).
% 7.78/6.04 tff(38896,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB124) <=> (~((~v202(constB124)) | (~v159(constB124)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB124) <=> (~((~v159(constB124)) | (~v202(constB124))))))),
% 7.78/6.04 inference(transitivity,[status(thm)],[38895, 38893])).
% 7.78/6.04 tff(38897,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB124) <=> (~((~v202(constB124)) | (~v159(constB124)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38898,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB124) <=> (~((~v159(constB124)) | (~v202(constB124)))))),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[38897, 38896])).
% 7.78/6.04 tff(38899,plain,
% 7.78/6.04 (v205(constB124) <=> (~((~v159(constB124)) | (~v202(constB124))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38898, 138])).
% 7.78/6.04 tff(38900,plain,
% 7.78/6.04 (((~v159(constB124)) | (~v202(constB124))) | v202(constB124)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38901,plain,
% 7.78/6.04 ((~v159(constB124)) | (~v202(constB124))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38900, 38888])).
% 7.78/6.04 tff(38902,plain,
% 7.78/6.04 ((~(v205(constB124) <=> (~((~v159(constB124)) | (~v202(constB124)))))) | (~v205(constB124)) | (~((~v159(constB124)) | (~v202(constB124))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38903,plain,
% 7.78/6.04 (~v205(constB124)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38902, 38901, 38899])).
% 7.78/6.04 tff(38904,plain,
% 7.78/6.04 ((~(v201(constB124) | v205(constB124))) | v201(constB124) | v205(constB124)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38905,plain,
% 7.78/6.04 (~(v201(constB124) | v205(constB124))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38904, 38903, 38892])).
% 7.78/6.04 tff(38906,plain,
% 7.78/6.04 ((~(v200(constB124) <=> (v201(constB124) | v205(constB124)))) | (~v200(constB124)) | (v201(constB124) | v205(constB124))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38907,plain,
% 7.78/6.04 ((~(v200(constB124) <=> (v201(constB124) | v205(constB124)))) | (~v200(constB124))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38906, 38905])).
% 7.78/6.04 tff(38908,plain,
% 7.78/6.04 (~v200(constB124)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38907, 38863])).
% 7.78/6.04 tff(38909,plain,
% 7.78/6.04 ($false),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38908, 38861])).
% 7.78/6.04 tff(38910,plain,(~(constB124 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/6.04 tff(38911,assumption,(constB19 = VarCurr!0), introduced(assumption)).
% 7.78/6.04 tff(38912,plain,
% 7.78/6.04 (v200(constB19) <=> v200(VarCurr!0)),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38911])).
% 7.78/6.04 tff(38913,plain,
% 7.78/6.04 (v200(VarCurr!0) <=> v200(constB19)),
% 7.78/6.04 inference(symmetry,[status(thm)],[38912])).
% 7.78/6.04 tff(38914,plain,
% 7.78/6.04 (v200(constB19)),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[27, 38913])).
% 7.78/6.04 tff(38915,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB19) <=> (v201(constB19) | v205(constB19)))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38916,plain,
% 7.78/6.04 (v200(constB19) <=> (v201(constB19) | v205(constB19))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38915, 35])).
% 7.78/6.04 tff(38917,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB19) <=> (~((~v157(constB19)) | (~v202(constB19)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB19) <=> (~((~v157(constB19)) | (~v202(constB19))))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38918,plain,
% 7.78/6.04 ((v201(constB19) <=> (~((~v202(constB19)) | (~v157(constB19))))) <=> (v201(constB19) <=> (~((~v157(constB19)) | (~v202(constB19)))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38919,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB19) <=> (~((~v202(constB19)) | (~v157(constB19)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB19) <=> (~((~v157(constB19)) | (~v202(constB19))))))),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38918])).
% 7.78/6.04 tff(38920,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB19) <=> (~((~v202(constB19)) | (~v157(constB19)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB19) <=> (~((~v157(constB19)) | (~v202(constB19))))))),
% 7.78/6.04 inference(transitivity,[status(thm)],[38919, 38917])).
% 7.78/6.04 tff(38921,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB19) <=> (~((~v202(constB19)) | (~v157(constB19)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38922,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB19) <=> (~((~v157(constB19)) | (~v202(constB19)))))),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[38921, 38920])).
% 7.78/6.04 tff(38923,plain,
% 7.78/6.04 (v201(constB19) <=> (~((~v157(constB19)) | (~v202(constB19))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38922, 47])).
% 7.78/6.04 tff(38924,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v202(VarCurr) <=> (~((~v183(VarCurr)) | (~v203(VarCurr)))))) | (v202(constB19) <=> (~((~v183(constB19)) | (~v203(constB19)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38925,plain,
% 7.78/6.04 (v202(constB19) <=> (~((~v183(constB19)) | (~v203(constB19))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38924, 64])).
% 7.78/6.04 tff(38926,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB19) <=> (~((~v185(constB19)) | (~v204(constB19)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB19) <=> (~((~v185(constB19)) | (~v204(constB19))))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38927,plain,
% 7.78/6.04 ((v203(constB19) <=> (~((~v204(constB19)) | (~v185(constB19))))) <=> (v203(constB19) <=> (~((~v185(constB19)) | (~v204(constB19)))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38928,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB19) <=> (~((~v204(constB19)) | (~v185(constB19)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB19) <=> (~((~v185(constB19)) | (~v204(constB19))))))),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38927])).
% 7.78/6.04 tff(38929,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB19) <=> (~((~v204(constB19)) | (~v185(constB19)))))) <=> ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB19) <=> (~((~v185(constB19)) | (~v204(constB19))))))),
% 7.78/6.04 inference(transitivity,[status(thm)],[38928, 38926])).
% 7.78/6.04 tff(38930,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB19) <=> (~((~v204(constB19)) | (~v185(constB19)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38931,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v203(VarCurr) <=> (~((~v204(VarCurr)) | (~v185(VarCurr)))))) | (v203(constB19) <=> (~((~v185(constB19)) | (~v204(constB19)))))),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[38930, 38929])).
% 7.78/6.04 tff(38932,plain,
% 7.78/6.04 (v203(constB19) <=> (~((~v185(constB19)) | (~v204(constB19))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38931, 76])).
% 7.78/6.04 tff(38933,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : ((~v204(VarCurr)) <=> v84(VarCurr))) | ((~v204(constB19)) <=> v84(constB19))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38934,plain,
% 7.78/6.04 ((~v204(constB19)) <=> v84(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38933, 185])).
% 7.78/6.04 tff(38935,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(constB19) <=> v86(constB19))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38936,plain,
% 7.78/6.04 (v84(constB19) <=> v86(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38935, 194])).
% 7.78/6.04 tff(38937,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB19) <=> (v136(constB19) | v145(constB19)))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38938,plain,
% 7.78/6.04 (v135(constB19) <=> (v136(constB19) | v145(constB19))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38937, 203])).
% 7.78/6.04 tff(38939,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB19) <=> (v137(constB19) | v142(constB19)))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38940,plain,
% 7.78/6.04 (v136(constB19) <=> (v137(constB19) | v142(constB19))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38939, 212])).
% 7.78/6.04 tff(38941,plain,
% 7.78/6.04 ((v137(constB19) | v142(constB19)) | (~v142(constB19))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38942,plain,
% 7.78/6.04 (v137(constB19) | v142(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38941, 35791])).
% 7.78/6.04 tff(38943,plain,
% 7.78/6.04 ((~(v136(constB19) <=> (v137(constB19) | v142(constB19)))) | v136(constB19) | (~(v137(constB19) | v142(constB19)))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38944,plain,
% 7.78/6.04 ((~(v136(constB19) <=> (v137(constB19) | v142(constB19)))) | v136(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38943, 38942])).
% 7.78/6.04 tff(38945,plain,
% 7.78/6.04 (v136(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38944, 38940])).
% 7.78/6.04 tff(38946,plain,
% 7.78/6.04 ((v136(constB19) | v145(constB19)) | (~v136(constB19))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38947,plain,
% 7.78/6.04 (v136(constB19) | v145(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38946, 38945])).
% 7.78/6.04 tff(38948,plain,
% 7.78/6.04 ((~(v135(constB19) <=> (v136(constB19) | v145(constB19)))) | v135(constB19) | (~(v136(constB19) | v145(constB19)))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38949,plain,
% 7.78/6.04 (v135(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38948, 38947, 38938])).
% 7.78/6.04 tff(38950,plain,
% 7.78/6.04 (((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB19)) | (v86(constB19) <=> v148(constB19)))) <=> ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB19)) | (v86(constB19) <=> v148(constB19)))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38951,plain,
% 7.78/6.04 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB19)) | (v86(constB19) <=> v148(constB19)))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38952,plain,
% 7.78/6.04 ((~![VarNext: state_type] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB19)) | (v86(constB19) <=> v148(constB19))),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[38951, 38950])).
% 7.78/6.04 tff(38953,plain,
% 7.78/6.04 (v86(constB19) <=> v148(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38952, 15057, 38949])).
% 7.78/6.04 tff(38954,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB19) | (~v142(constB19)))) <=> ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB19) | (~v142(constB19)))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38955,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB19) | (~v142(constB19)))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38956,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB19) | (~v142(constB19))),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[38955, 38954])).
% 7.78/6.04 tff(38957,plain,
% 7.78/6.04 (v148(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38956, 15071, 35791])).
% 7.78/6.04 tff(38958,plain,
% 7.78/6.04 ((~(v86(constB19) <=> v148(constB19))) | v86(constB19) | (~v148(constB19))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38959,plain,
% 7.78/6.04 ((~(v86(constB19) <=> v148(constB19))) | v86(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38958, 38957])).
% 7.78/6.04 tff(38960,plain,
% 7.78/6.04 (v86(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38959, 38953])).
% 7.78/6.04 tff(38961,plain,
% 7.78/6.04 ((~(v84(constB19) <=> v86(constB19))) | v84(constB19) | (~v86(constB19))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38962,plain,
% 7.78/6.04 ((~(v84(constB19) <=> v86(constB19))) | v84(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38961, 38960])).
% 7.78/6.04 tff(38963,plain,
% 7.78/6.04 (v84(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38962, 38936])).
% 7.78/6.04 tff(38964,plain,
% 7.78/6.04 ((~((~v204(constB19)) <=> v84(constB19))) | (~v204(constB19)) | (~v84(constB19))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38965,plain,
% 7.78/6.04 ((~((~v204(constB19)) <=> v84(constB19))) | (~v204(constB19))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38964, 38963])).
% 7.78/6.04 tff(38966,plain,
% 7.78/6.04 (~v204(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38965, 38934])).
% 7.78/6.04 tff(38967,plain,
% 7.78/6.04 (((~v185(constB19)) | (~v204(constB19))) | v204(constB19)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38968,plain,
% 7.78/6.04 ((~v185(constB19)) | (~v204(constB19))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38967, 38966])).
% 7.78/6.04 tff(38969,plain,
% 7.78/6.04 ((~(v203(constB19) <=> (~((~v185(constB19)) | (~v204(constB19)))))) | (~v203(constB19)) | (~((~v185(constB19)) | (~v204(constB19))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38970,plain,
% 7.78/6.04 (~v203(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38969, 38968, 38932])).
% 7.78/6.04 tff(38971,plain,
% 7.78/6.04 (((~v183(constB19)) | (~v203(constB19))) | v203(constB19)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38972,plain,
% 7.78/6.04 ((~v183(constB19)) | (~v203(constB19))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38971, 38970])).
% 7.78/6.04 tff(38973,plain,
% 7.78/6.04 ((~(v202(constB19) <=> (~((~v183(constB19)) | (~v203(constB19)))))) | (~v202(constB19)) | (~((~v183(constB19)) | (~v203(constB19))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38974,plain,
% 7.78/6.04 (~v202(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38973, 38972, 38925])).
% 7.78/6.04 tff(38975,plain,
% 7.78/6.04 (((~v157(constB19)) | (~v202(constB19))) | v202(constB19)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38976,plain,
% 7.78/6.04 ((~v157(constB19)) | (~v202(constB19))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38975, 38974])).
% 7.78/6.04 tff(38977,plain,
% 7.78/6.04 ((~(v201(constB19) <=> (~((~v157(constB19)) | (~v202(constB19)))))) | (~v201(constB19)) | (~((~v157(constB19)) | (~v202(constB19))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38978,plain,
% 7.78/6.04 (~v201(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38977, 38976, 38923])).
% 7.78/6.04 tff(38979,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB19) <=> (~((~v159(constB19)) | (~v202(constB19)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB19) <=> (~((~v159(constB19)) | (~v202(constB19))))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38980,plain,
% 7.78/6.04 ((v205(constB19) <=> (~((~v202(constB19)) | (~v159(constB19))))) <=> (v205(constB19) <=> (~((~v159(constB19)) | (~v202(constB19)))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(38981,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB19) <=> (~((~v202(constB19)) | (~v159(constB19)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB19) <=> (~((~v159(constB19)) | (~v202(constB19))))))),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38980])).
% 7.78/6.04 tff(38982,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB19) <=> (~((~v202(constB19)) | (~v159(constB19)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB19) <=> (~((~v159(constB19)) | (~v202(constB19))))))),
% 7.78/6.04 inference(transitivity,[status(thm)],[38981, 38979])).
% 7.78/6.04 tff(38983,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB19) <=> (~((~v202(constB19)) | (~v159(constB19)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(38984,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB19) <=> (~((~v159(constB19)) | (~v202(constB19)))))),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[38983, 38982])).
% 7.78/6.04 tff(38985,plain,
% 7.78/6.04 (v205(constB19) <=> (~((~v159(constB19)) | (~v202(constB19))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38984, 138])).
% 7.78/6.04 tff(38986,plain,
% 7.78/6.04 (((~v159(constB19)) | (~v202(constB19))) | v159(constB19)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38987,plain,
% 7.78/6.04 ((~v159(constB19)) | (~v202(constB19))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38986, 35648])).
% 7.78/6.04 tff(38988,plain,
% 7.78/6.04 ((~(v205(constB19) <=> (~((~v159(constB19)) | (~v202(constB19)))))) | (~v205(constB19)) | (~((~v159(constB19)) | (~v202(constB19))))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38989,plain,
% 7.78/6.04 (~v205(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38988, 38987, 38985])).
% 7.78/6.04 tff(38990,plain,
% 7.78/6.04 ((~(v201(constB19) | v205(constB19))) | v201(constB19) | v205(constB19)),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38991,plain,
% 7.78/6.04 ((~(v201(constB19) | v205(constB19))) | v201(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38990, 38989])).
% 7.78/6.04 tff(38992,plain,
% 7.78/6.04 (~(v201(constB19) | v205(constB19))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38991, 38978])).
% 7.78/6.04 tff(38993,plain,
% 7.78/6.04 ((~(v200(constB19) <=> (v201(constB19) | v205(constB19)))) | (~v200(constB19)) | (v201(constB19) | v205(constB19))),
% 7.78/6.04 inference(tautology,[status(thm)],[])).
% 7.78/6.04 tff(38994,plain,
% 7.78/6.04 (~v200(constB19)),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38993, 38992, 38916])).
% 7.78/6.04 tff(38995,plain,
% 7.78/6.04 ($false),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[38994, 38914])).
% 7.78/6.04 tff(38996,plain,(~(constB19 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/6.04 tff(38997,assumption,(constB73 = VarCurr!0), introduced(assumption)).
% 7.78/6.04 tff(38998,plain,
% 7.78/6.04 (v200(constB73) <=> v200(VarCurr!0)),
% 7.78/6.04 inference(monotonicity,[status(thm)],[38997])).
% 7.78/6.04 tff(38999,plain,
% 7.78/6.04 (v200(VarCurr!0) <=> v200(constB73)),
% 7.78/6.04 inference(symmetry,[status(thm)],[38998])).
% 7.78/6.04 tff(39000,plain,
% 7.78/6.04 (v200(constB73)),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[27, 38999])).
% 7.78/6.04 tff(39001,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB73) <=> (v201(constB73) | v205(constB73)))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(39002,plain,
% 7.78/6.04 (v200(constB73) <=> (v201(constB73) | v205(constB73))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[39001, 35])).
% 7.78/6.04 tff(39003,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB73) <=> (~((~v157(constB73)) | (~v202(constB73)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB73) <=> (~((~v157(constB73)) | (~v202(constB73))))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(39004,plain,
% 7.78/6.04 ((v201(constB73) <=> (~((~v202(constB73)) | (~v157(constB73))))) <=> (v201(constB73) <=> (~((~v157(constB73)) | (~v202(constB73)))))),
% 7.78/6.04 inference(rewrite,[status(thm)],[])).
% 7.78/6.04 tff(39005,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB73) <=> (~((~v202(constB73)) | (~v157(constB73)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB73) <=> (~((~v157(constB73)) | (~v202(constB73))))))),
% 7.78/6.04 inference(monotonicity,[status(thm)],[39004])).
% 7.78/6.04 tff(39006,plain,
% 7.78/6.04 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB73) <=> (~((~v202(constB73)) | (~v157(constB73)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB73) <=> (~((~v157(constB73)) | (~v202(constB73))))))),
% 7.78/6.04 inference(transitivity,[status(thm)],[39005, 39003])).
% 7.78/6.04 tff(39007,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB73) <=> (~((~v202(constB73)) | (~v157(constB73)))))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(39008,plain,
% 7.78/6.04 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB73) <=> (~((~v157(constB73)) | (~v202(constB73)))))),
% 7.78/6.04 inference(modus_ponens,[status(thm)],[39007, 39006])).
% 7.78/6.04 tff(39009,plain,
% 7.78/6.04 (v201(constB73) <=> (~((~v157(constB73)) | (~v202(constB73))))),
% 7.78/6.04 inference(unit_resolution,[status(thm)],[39008, 47])).
% 7.78/6.04 tff(39010,plain,
% 7.78/6.04 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB73) <=> v192(constB73))),
% 7.78/6.04 inference(quant_inst,[status(thm)],[])).
% 7.78/6.04 tff(39011,plain,
% 7.78/6.05 (v157(constB73) <=> v192(constB73)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39010, 15407])).
% 7.78/6.05 tff(39012,plain,
% 7.78/6.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB72, constB73)) | (v192(constB73) <=> v190(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB72, constB73)) | (v192(constB73) <=> v190(constB72)))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39013,plain,
% 7.78/6.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB72, constB73)) | (v192(constB73) <=> v190(constB72)))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39014,plain,
% 7.78/6.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB72, constB73)) | (v192(constB73) <=> v190(constB72))),
% 7.78/6.05 inference(modus_ponens,[status(thm)],[39013, 39012])).
% 7.78/6.05 tff(39015,plain,
% 7.78/6.05 (v192(constB73) <=> v190(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39014, 2201, 15419])).
% 7.78/6.05 tff(39016,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB72) <=> (v193(constB72) | v196(constB72)))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39017,plain,
% 7.78/6.05 (v190(constB72) <=> (v193(constB72) | v196(constB72))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39016, 15430])).
% 7.78/6.05 tff(39018,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB72) <=> (~((~v157(constB72)) | (~v194(constB72)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB72) <=> (~((~v157(constB72)) | (~v194(constB72))))))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39019,plain,
% 7.78/6.05 ((v193(constB72) <=> (~((~v194(constB72)) | (~v157(constB72))))) <=> (v193(constB72) <=> (~((~v157(constB72)) | (~v194(constB72)))))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39020,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB72) <=> (~((~v194(constB72)) | (~v157(constB72)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB72) <=> (~((~v157(constB72)) | (~v194(constB72))))))),
% 7.78/6.05 inference(monotonicity,[status(thm)],[39019])).
% 7.78/6.05 tff(39021,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB72) <=> (~((~v194(constB72)) | (~v157(constB72)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB72) <=> (~((~v157(constB72)) | (~v194(constB72))))))),
% 7.78/6.05 inference(transitivity,[status(thm)],[39020, 39018])).
% 7.78/6.05 tff(39022,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB72) <=> (~((~v194(constB72)) | (~v157(constB72)))))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39023,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB72) <=> (~((~v157(constB72)) | (~v194(constB72)))))),
% 7.78/6.05 inference(modus_ponens,[status(thm)],[39022, 39021])).
% 7.78/6.05 tff(39024,plain,
% 7.78/6.05 (v193(constB72) <=> (~((~v157(constB72)) | (~v194(constB72))))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39023, 15442])).
% 7.78/6.05 tff(39025,plain,
% 7.78/6.05 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB72) <=> v192(constB72))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39026,plain,
% 7.78/6.05 (v157(constB72) <=> v192(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39025, 15407])).
% 7.78/6.05 tff(39027,plain,
% 7.78/6.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB71, constB72)) | (v192(constB72) <=> v190(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB71, constB72)) | (v192(constB72) <=> v190(constB71)))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39028,plain,
% 7.78/6.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB71, constB72)) | (v192(constB72) <=> v190(constB71)))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39029,plain,
% 7.78/6.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB71, constB72)) | (v192(constB72) <=> v190(constB71))),
% 7.78/6.05 inference(modus_ponens,[status(thm)],[39028, 39027])).
% 7.78/6.05 tff(39030,plain,
% 7.78/6.05 (v192(constB72) <=> v190(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39029, 2237, 15419])).
% 7.78/6.05 tff(39031,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB71) <=> (v193(constB71) | v196(constB71)))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39032,plain,
% 7.78/6.05 (v190(constB71) <=> (v193(constB71) | v196(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39031, 15430])).
% 7.78/6.05 tff(39033,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB71) <=> (~((~v159(constB71)) | (~v194(constB71)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB71) <=> (~((~v159(constB71)) | (~v194(constB71))))))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39034,plain,
% 7.78/6.05 ((v196(constB71) <=> (~((~v194(constB71)) | (~v159(constB71))))) <=> (v196(constB71) <=> (~((~v159(constB71)) | (~v194(constB71)))))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39035,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB71) <=> (~((~v194(constB71)) | (~v159(constB71)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB71) <=> (~((~v159(constB71)) | (~v194(constB71))))))),
% 7.78/6.05 inference(monotonicity,[status(thm)],[39034])).
% 7.78/6.05 tff(39036,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB71) <=> (~((~v194(constB71)) | (~v159(constB71)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB71) <=> (~((~v159(constB71)) | (~v194(constB71))))))),
% 7.78/6.05 inference(transitivity,[status(thm)],[39035, 39033])).
% 7.78/6.05 tff(39037,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB71) <=> (~((~v194(constB71)) | (~v159(constB71)))))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39038,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB71) <=> (~((~v159(constB71)) | (~v194(constB71)))))),
% 7.78/6.05 inference(modus_ponens,[status(thm)],[39037, 39036])).
% 7.78/6.05 tff(39039,plain,
% 7.78/6.05 (v196(constB71) <=> (~((~v159(constB71)) | (~v194(constB71))))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39038, 15467])).
% 7.78/6.05 tff(39040,plain,
% 7.78/6.05 (((~v159(constB71)) | (~v194(constB71))) | v159(constB71)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39041,plain,
% 7.78/6.05 ((~v159(constB71)) | (~v194(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39040, 37364])).
% 7.78/6.05 tff(39042,plain,
% 7.78/6.05 ((~(v196(constB71) <=> (~((~v159(constB71)) | (~v194(constB71)))))) | (~v196(constB71)) | (~((~v159(constB71)) | (~v194(constB71))))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39043,plain,
% 7.78/6.05 (~v196(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39042, 39041, 39039])).
% 7.78/6.05 tff(39044,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB71) <=> (~((~v157(constB71)) | (~v194(constB71)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB71) <=> (~((~v157(constB71)) | (~v194(constB71))))))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39045,plain,
% 7.78/6.05 ((v193(constB71) <=> (~((~v194(constB71)) | (~v157(constB71))))) <=> (v193(constB71) <=> (~((~v157(constB71)) | (~v194(constB71)))))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39046,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB71) <=> (~((~v194(constB71)) | (~v157(constB71)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB71) <=> (~((~v157(constB71)) | (~v194(constB71))))))),
% 7.78/6.05 inference(monotonicity,[status(thm)],[39045])).
% 7.78/6.05 tff(39047,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB71) <=> (~((~v194(constB71)) | (~v157(constB71)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB71) <=> (~((~v157(constB71)) | (~v194(constB71))))))),
% 7.78/6.05 inference(transitivity,[status(thm)],[39046, 39044])).
% 7.78/6.05 tff(39048,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB71) <=> (~((~v194(constB71)) | (~v157(constB71)))))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39049,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB71) <=> (~((~v157(constB71)) | (~v194(constB71)))))),
% 7.78/6.05 inference(modus_ponens,[status(thm)],[39048, 39047])).
% 7.78/6.05 tff(39050,plain,
% 7.78/6.05 (v193(constB71) <=> (~((~v157(constB71)) | (~v194(constB71))))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39049, 15442])).
% 7.78/6.05 tff(39051,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB71)) <=> v195(constB71))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39052,plain,
% 7.78/6.05 ((~v194(constB71)) <=> v195(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39051, 15527])).
% 7.78/6.05 tff(39053,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB71) <=> (v185(constB71) | v26(constB71)))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39054,plain,
% 7.78/6.05 (v195(constB71) <=> (v185(constB71) | v26(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39053, 15536])).
% 7.78/6.05 tff(39055,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB71) <=> (~((~v39(constB71)) | (~v9(constB71)))))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39056,plain,
% 7.78/6.05 (v185(constB71) <=> (~((~v39(constB71)) | (~v9(constB71))))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39055, 93])).
% 7.78/6.05 tff(39057,plain,
% 7.78/6.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB71, constB72)) | (v13(constB72) <=> v9(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB71, constB72)) | (v13(constB72) <=> v9(constB71)))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39058,plain,
% 7.78/6.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB71, constB72)) | (v13(constB72) <=> v9(constB71)))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39059,plain,
% 7.78/6.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB71, constB72)) | (v13(constB72) <=> v9(constB71))),
% 7.78/6.05 inference(modus_ponens,[status(thm)],[39058, 39057])).
% 7.78/6.05 tff(39060,plain,
% 7.78/6.05 (v13(constB72) <=> v9(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39059, 2237, 15550])).
% 7.78/6.05 tff(39061,plain,
% 7.78/6.05 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB72) <=> v13(constB72))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39062,plain,
% 7.78/6.05 (v6(constB72) <=> v13(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39061, 15564])).
% 7.78/6.05 tff(39063,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB72)) <=> v6(constB72))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39064,plain,
% 7.78/6.05 ((~v21(constB72)) <=> v6(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39063, 15573])).
% 7.78/6.05 tff(39065,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB72) <=> (v20(constB72) | v21(constB72)))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39066,plain,
% 7.78/6.05 (v19(constB72) <=> (v20(constB72) | v21(constB72))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39065, 15582])).
% 7.78/6.05 tff(39067,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB72) <=> (~((~v19(constB72)) | (~v22(constB72)))))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39068,plain,
% 7.78/6.05 (v18(constB72) <=> (~((~v19(constB72)) | (~v22(constB72))))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39067, 15594])).
% 7.78/6.05 tff(39069,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB72)) <=> v18(constB72))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39070,plain,
% 7.78/6.05 ((~v4(constB72)) <=> v18(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39069, 15603])).
% 7.78/6.05 tff(39071,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB72)),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39072,plain,
% 7.78/6.05 (v4(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39071, 15612])).
% 7.78/6.05 tff(39073,plain,
% 7.78/6.05 ((~((~v4(constB72)) <=> v18(constB72))) | (~v4(constB72)) | (~v18(constB72))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39074,plain,
% 7.78/6.05 (~v18(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39073, 39072, 39070])).
% 7.78/6.05 tff(39075,plain,
% 7.78/6.05 ((~(v18(constB72) <=> (~((~v19(constB72)) | (~v22(constB72)))))) | v18(constB72) | ((~v19(constB72)) | (~v22(constB72)))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39076,plain,
% 7.78/6.05 ((~v19(constB72)) | (~v22(constB72))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39075, 39074, 39068])).
% 7.78/6.05 tff(39077,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB72) <=> (v1(constB72) | v6(constB72)))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39078,plain,
% 7.78/6.05 (v22(constB72) <=> (v1(constB72) | v6(constB72))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39077, 15625])).
% 7.78/6.05 tff(39079,plain,
% 7.78/6.05 ((v1(constB72) | v6(constB72)) | (~v1(constB72))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39080,plain,
% 7.78/6.05 (v1(constB72) | v6(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39079, 10426])).
% 7.78/6.05 tff(39081,plain,
% 7.78/6.05 ((~(v22(constB72) <=> (v1(constB72) | v6(constB72)))) | v22(constB72) | (~(v1(constB72) | v6(constB72)))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39082,plain,
% 7.78/6.05 ((~(v22(constB72) <=> (v1(constB72) | v6(constB72)))) | v22(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39081, 39080])).
% 7.78/6.05 tff(39083,plain,
% 7.78/6.05 (v22(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39082, 39078])).
% 7.78/6.05 tff(39084,plain,
% 7.78/6.05 ((~((~v19(constB72)) | (~v22(constB72)))) | (~v19(constB72)) | (~v22(constB72))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39085,plain,
% 7.78/6.05 ((~((~v19(constB72)) | (~v22(constB72)))) | (~v19(constB72))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39084, 39083])).
% 7.78/6.05 tff(39086,plain,
% 7.78/6.05 (~v19(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39085, 39076])).
% 7.78/6.05 tff(39087,plain,
% 7.78/6.05 ((~(v19(constB72) <=> (v20(constB72) | v21(constB72)))) | v19(constB72) | (~(v20(constB72) | v21(constB72)))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39088,plain,
% 7.78/6.05 (~(v20(constB72) | v21(constB72))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39087, 39086, 39066])).
% 7.78/6.05 tff(39089,plain,
% 7.78/6.05 ((v20(constB72) | v21(constB72)) | (~v21(constB72))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39090,plain,
% 7.78/6.05 (~v21(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39089, 39088])).
% 7.78/6.05 tff(39091,plain,
% 7.78/6.05 ((~((~v21(constB72)) <=> v6(constB72))) | v21(constB72) | v6(constB72)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39092,plain,
% 7.78/6.05 (v6(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39091, 39090, 39064])).
% 7.78/6.05 tff(39093,plain,
% 7.78/6.05 ((~(v6(constB72) <=> v13(constB72))) | (~v6(constB72)) | v13(constB72)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39094,plain,
% 7.78/6.05 (v13(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39093, 39092, 39062])).
% 7.78/6.05 tff(39095,plain,
% 7.78/6.05 ((~(v13(constB72) <=> v9(constB71))) | (~v13(constB72)) | v9(constB71)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39096,plain,
% 7.78/6.05 (v9(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39095, 39094, 39060])).
% 7.78/6.05 tff(39097,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB71)) <=> v1(constB71))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39098,plain,
% 7.78/6.05 ((~v39(constB71)) <=> v1(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39097, 102])).
% 7.78/6.05 tff(39099,plain,
% 7.78/6.05 ((~((~v39(constB71)) <=> v1(constB71))) | v39(constB71) | v1(constB71)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39100,plain,
% 7.78/6.05 ((~((~v39(constB71)) <=> v1(constB71))) | v39(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39099, 2281])).
% 7.78/6.05 tff(39101,plain,
% 7.78/6.05 (v39(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39100, 39098])).
% 7.78/6.05 tff(39102,plain,
% 7.78/6.05 ((~((~v39(constB71)) | (~v9(constB71)))) | (~v39(constB71)) | (~v9(constB71))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39103,plain,
% 7.78/6.05 ((~((~v39(constB71)) | (~v9(constB71)))) | (~v9(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39102, 39101])).
% 7.78/6.05 tff(39104,plain,
% 7.78/6.05 (~((~v39(constB71)) | (~v9(constB71)))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39103, 39096])).
% 7.78/6.05 tff(39105,plain,
% 7.78/6.05 ((~(v185(constB71) <=> (~((~v39(constB71)) | (~v9(constB71)))))) | v185(constB71) | ((~v39(constB71)) | (~v9(constB71)))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39106,plain,
% 7.78/6.05 (v185(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39105, 39104, 39056])).
% 7.78/6.05 tff(39107,plain,
% 7.78/6.05 ((v185(constB71) | v26(constB71)) | (~v185(constB71))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39108,plain,
% 7.78/6.05 (v185(constB71) | v26(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39107, 39106])).
% 7.78/6.05 tff(39109,plain,
% 7.78/6.05 ((~(v195(constB71) <=> (v185(constB71) | v26(constB71)))) | v195(constB71) | (~(v185(constB71) | v26(constB71)))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39110,plain,
% 7.78/6.05 (v195(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39109, 39108, 39054])).
% 7.78/6.05 tff(39111,plain,
% 7.78/6.05 ((~((~v194(constB71)) <=> v195(constB71))) | (~v194(constB71)) | (~v195(constB71))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39112,plain,
% 7.78/6.05 (~v194(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39111, 39110, 39052])).
% 7.78/6.05 tff(39113,plain,
% 7.78/6.05 (((~v157(constB71)) | (~v194(constB71))) | v194(constB71)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39114,plain,
% 7.78/6.05 ((~v157(constB71)) | (~v194(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39113, 39112])).
% 7.78/6.05 tff(39115,plain,
% 7.78/6.05 ((~(v193(constB71) <=> (~((~v157(constB71)) | (~v194(constB71)))))) | (~v193(constB71)) | (~((~v157(constB71)) | (~v194(constB71))))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39116,plain,
% 7.78/6.05 (~v193(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39115, 39114, 39050])).
% 7.78/6.05 tff(39117,plain,
% 7.78/6.05 ((~(v193(constB71) | v196(constB71))) | v193(constB71) | v196(constB71)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39118,plain,
% 7.78/6.05 (~(v193(constB71) | v196(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39117, 39116, 39043])).
% 7.78/6.05 tff(39119,plain,
% 7.78/6.05 ((~(v190(constB71) <=> (v193(constB71) | v196(constB71)))) | (~v190(constB71)) | (v193(constB71) | v196(constB71))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39120,plain,
% 7.78/6.05 (~v190(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39119, 39118, 39032])).
% 7.78/6.05 tff(39121,plain,
% 7.78/6.05 ((~(v192(constB72) <=> v190(constB71))) | (~v192(constB72)) | v190(constB71)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39122,plain,
% 7.78/6.05 (~v192(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39121, 39120, 39030])).
% 7.78/6.05 tff(39123,plain,
% 7.78/6.05 ((~(v157(constB72) <=> v192(constB72))) | (~v157(constB72)) | v192(constB72)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39124,plain,
% 7.78/6.05 (~v157(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39123, 39122, 39026])).
% 7.78/6.05 tff(39125,plain,
% 7.78/6.05 (((~v157(constB72)) | (~v194(constB72))) | v157(constB72)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39126,plain,
% 7.78/6.05 ((~v157(constB72)) | (~v194(constB72))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39125, 39124])).
% 7.78/6.05 tff(39127,plain,
% 7.78/6.05 ((~(v193(constB72) <=> (~((~v157(constB72)) | (~v194(constB72)))))) | (~v193(constB72)) | (~((~v157(constB72)) | (~v194(constB72))))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39128,plain,
% 7.78/6.05 (~v193(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39127, 39126, 39024])).
% 7.78/6.05 tff(39129,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB72) <=> (~((~v159(constB72)) | (~v194(constB72)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB72) <=> (~((~v159(constB72)) | (~v194(constB72))))))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39130,plain,
% 7.78/6.05 ((v196(constB72) <=> (~((~v194(constB72)) | (~v159(constB72))))) <=> (v196(constB72) <=> (~((~v159(constB72)) | (~v194(constB72)))))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39131,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB72) <=> (~((~v194(constB72)) | (~v159(constB72)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB72) <=> (~((~v159(constB72)) | (~v194(constB72))))))),
% 7.78/6.05 inference(monotonicity,[status(thm)],[39130])).
% 7.78/6.05 tff(39132,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB72) <=> (~((~v194(constB72)) | (~v159(constB72)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB72) <=> (~((~v159(constB72)) | (~v194(constB72))))))),
% 7.78/6.05 inference(transitivity,[status(thm)],[39131, 39129])).
% 7.78/6.05 tff(39133,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB72) <=> (~((~v194(constB72)) | (~v159(constB72)))))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39134,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB72) <=> (~((~v159(constB72)) | (~v194(constB72)))))),
% 7.78/6.05 inference(modus_ponens,[status(thm)],[39133, 39132])).
% 7.78/6.05 tff(39135,plain,
% 7.78/6.05 (v196(constB72) <=> (~((~v159(constB72)) | (~v194(constB72))))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39134, 15467])).
% 7.78/6.05 tff(39136,plain,
% 7.78/6.05 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB72) <=> v182(constB72))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39137,plain,
% 7.78/6.05 (v159(constB72) <=> v182(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39136, 15113])).
% 7.78/6.05 tff(39138,plain,
% 7.78/6.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB71, constB72)) | (v182(constB72) <=> v180(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB71, constB72)) | (v182(constB72) <=> v180(constB71)))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39139,plain,
% 7.78/6.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB71, constB72)) | (v182(constB72) <=> v180(constB71)))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39140,plain,
% 7.78/6.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB71, constB72)) | (v182(constB72) <=> v180(constB71))),
% 7.78/6.05 inference(modus_ponens,[status(thm)],[39139, 39138])).
% 7.78/6.05 tff(39141,plain,
% 7.78/6.05 (v182(constB72) <=> v180(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39140, 2237, 15125])).
% 7.78/6.05 tff(39142,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB71) <=> (~((~v183(constB71)) | (~v184(constB71)))))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39143,plain,
% 7.78/6.05 (v180(constB71) <=> (~((~v183(constB71)) | (~v184(constB71))))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39142, 15139])).
% 7.78/6.05 tff(39144,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB71) <=> (~((~v185(constB71)) | (~v161(constB71)))))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39145,plain,
% 7.78/6.05 (v184(constB71) <=> (~((~v185(constB71)) | (~v161(constB71))))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39144, 15151])).
% 7.78/6.05 tff(39146,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB71) <=> v163(constB71))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39147,plain,
% 7.78/6.05 (v161(constB71) <=> v163(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39146, 15701])).
% 7.78/6.05 tff(39148,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB71) <=> (v145(constB71) | v167(constB71)))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39149,plain,
% 7.78/6.05 (v166(constB71) <=> (v145(constB71) | v167(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39148, 15713])).
% 7.78/6.05 tff(39150,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB71) <=> (v142(constB71) | v168(constB71)))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39151,plain,
% 7.78/6.05 (v167(constB71) <=> (v142(constB71) | v168(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39150, 15725])).
% 7.78/6.05 tff(39152,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB71) <=> (v141(constB71) | v169(constB71)))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39153,plain,
% 7.78/6.05 (v168(constB71) <=> (v141(constB71) | v169(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39152, 26253])).
% 7.78/6.05 tff(39154,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB71) <=> (~((~v88(constB71, 1)) | v88(constB71, 2) | (~v88(constB71, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB71) <=> (~((~v88(constB71, 1)) | v88(constB71, 2) | (~v88(constB71, 0))))))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39155,plain,
% 7.78/6.05 ((v141(constB71) <=> (~(v88(constB71, 2) | (~v88(constB71, 1)) | (~v88(constB71, 0))))) <=> (v141(constB71) <=> (~((~v88(constB71, 1)) | v88(constB71, 2) | (~v88(constB71, 0)))))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39156,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB71) <=> (~(v88(constB71, 2) | (~v88(constB71, 1)) | (~v88(constB71, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB71) <=> (~((~v88(constB71, 1)) | v88(constB71, 2) | (~v88(constB71, 0))))))),
% 7.78/6.05 inference(monotonicity,[status(thm)],[39155])).
% 7.78/6.05 tff(39157,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB71) <=> (~(v88(constB71, 2) | (~v88(constB71, 1)) | (~v88(constB71, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB71) <=> (~((~v88(constB71, 1)) | v88(constB71, 2) | (~v88(constB71, 0))))))),
% 7.78/6.05 inference(transitivity,[status(thm)],[39156, 39154])).
% 7.78/6.05 tff(39158,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB71) <=> (~(v88(constB71, 2) | (~v88(constB71, 1)) | (~v88(constB71, 0)))))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39159,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB71) <=> (~((~v88(constB71, 1)) | v88(constB71, 2) | (~v88(constB71, 0)))))),
% 7.78/6.05 inference(modus_ponens,[status(thm)],[39158, 39157])).
% 7.78/6.05 tff(39160,plain,
% 7.78/6.05 (v141(constB71) <=> (~((~v88(constB71, 1)) | v88(constB71, 2) | (~v88(constB71, 0))))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39159, 26268])).
% 7.78/6.05 tff(39161,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB71, 1)) <=> v90(constB71, 1)) | ((~v88(constB71, 2)) <=> v90(constB71, 2)) | ((~v88(constB71, 0)) <=> v90(constB71, 0))))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39162,plain,
% 7.78/6.05 (~(((~v88(constB71, 1)) <=> v90(constB71, 1)) | ((~v88(constB71, 2)) <=> v90(constB71, 2)) | ((~v88(constB71, 0)) <=> v90(constB71, 0)))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39161, 256])).
% 7.78/6.05 tff(39163,plain,
% 7.78/6.05 ((((~v88(constB71, 1)) <=> v90(constB71, 1)) | ((~v88(constB71, 2)) <=> v90(constB71, 2)) | ((~v88(constB71, 0)) <=> v90(constB71, 0))) | (~((~v88(constB71, 2)) <=> v90(constB71, 2)))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39164,plain,
% 7.78/6.05 (~((~v88(constB71, 2)) <=> v90(constB71, 2))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39163, 39162])).
% 7.78/6.05 tff(39165,plain,
% 7.78/6.05 (((~v88(constB71, 2)) <=> v90(constB71, 2)) | (~v88(constB71, 2)) | v90(constB71, 2)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39166,plain,
% 7.78/6.05 (~v88(constB71, 2)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39165, 10345, 39164])).
% 7.78/6.05 tff(39167,plain,
% 7.78/6.05 ((((~v88(constB71, 1)) <=> v90(constB71, 1)) | ((~v88(constB71, 2)) <=> v90(constB71, 2)) | ((~v88(constB71, 0)) <=> v90(constB71, 0))) | (~((~v88(constB71, 0)) <=> v90(constB71, 0)))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39168,plain,
% 7.78/6.05 (~((~v88(constB71, 0)) <=> v90(constB71, 0))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39167, 39162])).
% 7.78/6.05 tff(39169,plain,
% 7.78/6.05 (((~v88(constB71, 0)) <=> v90(constB71, 0)) | v88(constB71, 0) | (~v90(constB71, 0))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39170,plain,
% 7.78/6.05 (v88(constB71, 0)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39169, 10363, 39168])).
% 7.78/6.05 tff(39171,plain,
% 7.78/6.05 ((((~v88(constB71, 1)) <=> v90(constB71, 1)) | ((~v88(constB71, 2)) <=> v90(constB71, 2)) | ((~v88(constB71, 0)) <=> v90(constB71, 0))) | (~((~v88(constB71, 1)) <=> v90(constB71, 1)))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39172,plain,
% 7.78/6.05 (~((~v88(constB71, 1)) <=> v90(constB71, 1))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39171, 39162])).
% 7.78/6.05 tff(39173,plain,
% 7.78/6.05 (((~v88(constB71, 1)) <=> v90(constB71, 1)) | v88(constB71, 1) | (~v90(constB71, 1))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39174,plain,
% 7.78/6.05 (v88(constB71, 1)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39173, 10381, 39172])).
% 7.78/6.05 tff(39175,plain,
% 7.78/6.05 ((~((~v88(constB71, 1)) | v88(constB71, 2) | (~v88(constB71, 0)))) | (~v88(constB71, 1)) | v88(constB71, 2) | (~v88(constB71, 0))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39176,plain,
% 7.78/6.05 (~((~v88(constB71, 1)) | v88(constB71, 2) | (~v88(constB71, 0)))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39175, 39174, 39170, 39166])).
% 7.78/6.05 tff(39177,plain,
% 7.78/6.05 ((~(v141(constB71) <=> (~((~v88(constB71, 1)) | v88(constB71, 2) | (~v88(constB71, 0)))))) | v141(constB71) | ((~v88(constB71, 1)) | v88(constB71, 2) | (~v88(constB71, 0)))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39178,plain,
% 7.78/6.05 (v141(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39177, 39176, 39160])).
% 7.78/6.05 tff(39179,plain,
% 7.78/6.05 ((v141(constB71) | v169(constB71)) | (~v141(constB71))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39180,plain,
% 7.78/6.05 (v141(constB71) | v169(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39179, 39178])).
% 7.78/6.05 tff(39181,plain,
% 7.78/6.05 ((~(v168(constB71) <=> (v141(constB71) | v169(constB71)))) | v168(constB71) | (~(v141(constB71) | v169(constB71)))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39182,plain,
% 7.78/6.05 (v168(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39181, 39180, 39153])).
% 7.78/6.05 tff(39183,plain,
% 7.78/6.05 ((v142(constB71) | v168(constB71)) | (~v168(constB71))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39184,plain,
% 7.78/6.05 (v142(constB71) | v168(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39183, 39182])).
% 7.78/6.05 tff(39185,plain,
% 7.78/6.05 ((~(v167(constB71) <=> (v142(constB71) | v168(constB71)))) | v167(constB71) | (~(v142(constB71) | v168(constB71)))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39186,plain,
% 7.78/6.05 ((~(v167(constB71) <=> (v142(constB71) | v168(constB71)))) | v167(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39185, 39184])).
% 7.78/6.05 tff(39187,plain,
% 7.78/6.05 (v167(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39186, 39151])).
% 7.78/6.05 tff(39188,plain,
% 7.78/6.05 ((v145(constB71) | v167(constB71)) | (~v167(constB71))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39189,plain,
% 7.78/6.05 (v145(constB71) | v167(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39188, 39187])).
% 7.78/6.05 tff(39190,plain,
% 7.78/6.05 ((~(v166(constB71) <=> (v145(constB71) | v167(constB71)))) | v166(constB71) | (~(v145(constB71) | v167(constB71)))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39191,plain,
% 7.78/6.05 (v166(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39190, 39189, 39149])).
% 7.78/6.05 tff(39192,plain,
% 7.78/6.05 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB71)) | (v163(constB71) <=> v170(constB71)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB71)) | (v163(constB71) <=> v170(constB71)))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39193,plain,
% 7.78/6.05 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB71)) | (v163(constB71) <=> v170(constB71)))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39194,plain,
% 7.78/6.05 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB71)) | (v163(constB71) <=> v170(constB71))),
% 7.78/6.05 inference(modus_ponens,[status(thm)],[39193, 39192])).
% 7.78/6.05 tff(39195,plain,
% 7.78/6.05 ((~v166(constB71)) | (v163(constB71) <=> v170(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39194, 15777])).
% 7.78/6.05 tff(39196,plain,
% 7.78/6.05 (v163(constB71) <=> v170(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39195, 39191])).
% 7.78/6.05 tff(39197,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB71) <=> (~(v88(constB71, 0) | v88(constB71, 1) | v88(constB71, 2))))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39198,plain,
% 7.78/6.05 (v139(constB71) <=> (~(v88(constB71, 0) | v88(constB71, 1) | v88(constB71, 2)))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39197, 15795])).
% 7.78/6.05 tff(39199,plain,
% 7.78/6.05 ((v88(constB71, 0) | v88(constB71, 1) | v88(constB71, 2)) | (~v88(constB71, 0))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39200,plain,
% 7.78/6.05 (v88(constB71, 0) | v88(constB71, 1) | v88(constB71, 2)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39199, 39170])).
% 7.78/6.05 tff(39201,plain,
% 7.78/6.05 ((~(v139(constB71) <=> (~(v88(constB71, 0) | v88(constB71, 1) | v88(constB71, 2))))) | (~v139(constB71)) | (~(v88(constB71, 0) | v88(constB71, 1) | v88(constB71, 2)))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39202,plain,
% 7.78/6.05 (~v139(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39201, 39200, 39198])).
% 7.78/6.05 tff(39203,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB71) <=> (~(v88(constB71, 1) | v88(constB71, 2) | (~v88(constB71, 0)))))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39204,plain,
% 7.78/6.05 (v140(constB71) <=> (~(v88(constB71, 1) | v88(constB71, 2) | (~v88(constB71, 0))))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39203, 15814])).
% 7.78/6.05 tff(39205,plain,
% 7.78/6.05 ((v88(constB71, 1) | v88(constB71, 2) | (~v88(constB71, 0))) | (~v88(constB71, 1))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39206,plain,
% 7.78/6.05 (v88(constB71, 1) | v88(constB71, 2) | (~v88(constB71, 0))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39205, 39174])).
% 7.78/6.05 tff(39207,plain,
% 7.78/6.05 ((~(v140(constB71) <=> (~(v88(constB71, 1) | v88(constB71, 2) | (~v88(constB71, 0)))))) | (~v140(constB71)) | (~(v88(constB71, 1) | v88(constB71, 2) | (~v88(constB71, 0))))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39208,plain,
% 7.78/6.05 (~v140(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39207, 39206, 39204])).
% 7.78/6.05 tff(39209,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB71) | v139(constB71) | (~v170(constB71)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB71) | v139(constB71) | (~v170(constB71)))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39210,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB71) | v139(constB71) | (~v170(constB71)))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39211,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB71) | v139(constB71) | (~v170(constB71))),
% 7.78/6.05 inference(modus_ponens,[status(thm)],[39210, 39209])).
% 7.78/6.05 tff(39212,plain,
% 7.78/6.05 (v140(constB71) | v139(constB71) | (~v170(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39211, 15833])).
% 7.78/6.05 tff(39213,plain,
% 7.78/6.05 (~v170(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39212, 39208, 39202])).
% 7.78/6.05 tff(39214,plain,
% 7.78/6.05 ((~(v163(constB71) <=> v170(constB71))) | (~v163(constB71)) | v170(constB71)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39215,plain,
% 7.78/6.05 ((~(v163(constB71) <=> v170(constB71))) | (~v163(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39214, 39213])).
% 7.78/6.05 tff(39216,plain,
% 7.78/6.05 (~v163(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39215, 39196])).
% 7.78/6.05 tff(39217,plain,
% 7.78/6.05 ((~(v161(constB71) <=> v163(constB71))) | (~v161(constB71)) | v163(constB71)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39218,plain,
% 7.78/6.05 ((~(v161(constB71) <=> v163(constB71))) | (~v161(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39217, 39216])).
% 7.78/6.05 tff(39219,plain,
% 7.78/6.05 (~v161(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39218, 39147])).
% 7.78/6.05 tff(39220,plain,
% 7.78/6.05 (((~v185(constB71)) | (~v161(constB71))) | v161(constB71)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39221,plain,
% 7.78/6.05 ((~v185(constB71)) | (~v161(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39220, 39219])).
% 7.78/6.05 tff(39222,plain,
% 7.78/6.05 ((~(v184(constB71) <=> (~((~v185(constB71)) | (~v161(constB71)))))) | (~v184(constB71)) | (~((~v185(constB71)) | (~v161(constB71))))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39223,plain,
% 7.78/6.05 (~v184(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39222, 39221, 39145])).
% 7.78/6.05 tff(39224,plain,
% 7.78/6.05 (((~v183(constB71)) | (~v184(constB71))) | v184(constB71)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39225,plain,
% 7.78/6.05 ((~v183(constB71)) | (~v184(constB71))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39224, 39223])).
% 7.78/6.05 tff(39226,plain,
% 7.78/6.05 ((~(v180(constB71) <=> (~((~v183(constB71)) | (~v184(constB71)))))) | (~v180(constB71)) | (~((~v183(constB71)) | (~v184(constB71))))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39227,plain,
% 7.78/6.05 (~v180(constB71)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39226, 39225, 39143])).
% 7.78/6.05 tff(39228,plain,
% 7.78/6.05 ((~(v182(constB72) <=> v180(constB71))) | (~v182(constB72)) | v180(constB71)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39229,plain,
% 7.78/6.05 (~v182(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39228, 39227, 39141])).
% 7.78/6.05 tff(39230,plain,
% 7.78/6.05 ((~(v159(constB72) <=> v182(constB72))) | (~v159(constB72)) | v182(constB72)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39231,plain,
% 7.78/6.05 (~v159(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39230, 39229, 39137])).
% 7.78/6.05 tff(39232,plain,
% 7.78/6.05 (((~v159(constB72)) | (~v194(constB72))) | v159(constB72)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39233,plain,
% 7.78/6.05 ((~v159(constB72)) | (~v194(constB72))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39232, 39231])).
% 7.78/6.05 tff(39234,plain,
% 7.78/6.05 ((~(v196(constB72) <=> (~((~v159(constB72)) | (~v194(constB72)))))) | (~v196(constB72)) | (~((~v159(constB72)) | (~v194(constB72))))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39235,plain,
% 7.78/6.05 (~v196(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39234, 39233, 39135])).
% 7.78/6.05 tff(39236,plain,
% 7.78/6.05 ((~(v193(constB72) | v196(constB72))) | v193(constB72) | v196(constB72)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39237,plain,
% 7.78/6.05 (~(v193(constB72) | v196(constB72))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39236, 39235, 39128])).
% 7.78/6.05 tff(39238,plain,
% 7.78/6.05 ((~(v190(constB72) <=> (v193(constB72) | v196(constB72)))) | (~v190(constB72)) | (v193(constB72) | v196(constB72))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39239,plain,
% 7.78/6.05 (~v190(constB72)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39238, 39237, 39017])).
% 7.78/6.05 tff(39240,plain,
% 7.78/6.05 ((~(v192(constB73) <=> v190(constB72))) | (~v192(constB73)) | v190(constB72)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39241,plain,
% 7.78/6.05 (~v192(constB73)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39240, 39239, 39015])).
% 7.78/6.05 tff(39242,plain,
% 7.78/6.05 ((~(v157(constB73) <=> v192(constB73))) | (~v157(constB73)) | v192(constB73)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39243,plain,
% 7.78/6.05 (~v157(constB73)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39242, 39241, 39011])).
% 7.78/6.05 tff(39244,plain,
% 7.78/6.05 (((~v157(constB73)) | (~v202(constB73))) | v157(constB73)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39245,plain,
% 7.78/6.05 ((~v157(constB73)) | (~v202(constB73))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39244, 39243])).
% 7.78/6.05 tff(39246,plain,
% 7.78/6.05 ((~(v201(constB73) <=> (~((~v157(constB73)) | (~v202(constB73)))))) | (~v201(constB73)) | (~((~v157(constB73)) | (~v202(constB73))))),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39247,plain,
% 7.78/6.05 (~v201(constB73)),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39246, 39245, 39009])).
% 7.78/6.05 tff(39248,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB73) <=> (~((~v159(constB73)) | (~v202(constB73)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB73) <=> (~((~v159(constB73)) | (~v202(constB73))))))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39249,plain,
% 7.78/6.05 ((v205(constB73) <=> (~((~v202(constB73)) | (~v159(constB73))))) <=> (v205(constB73) <=> (~((~v159(constB73)) | (~v202(constB73)))))),
% 7.78/6.05 inference(rewrite,[status(thm)],[])).
% 7.78/6.05 tff(39250,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB73) <=> (~((~v202(constB73)) | (~v159(constB73)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB73) <=> (~((~v159(constB73)) | (~v202(constB73))))))),
% 7.78/6.05 inference(monotonicity,[status(thm)],[39249])).
% 7.78/6.05 tff(39251,plain,
% 7.78/6.05 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB73) <=> (~((~v202(constB73)) | (~v159(constB73)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB73) <=> (~((~v159(constB73)) | (~v202(constB73))))))),
% 7.78/6.05 inference(transitivity,[status(thm)],[39250, 39248])).
% 7.78/6.05 tff(39252,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB73) <=> (~((~v202(constB73)) | (~v159(constB73)))))),
% 7.78/6.05 inference(quant_inst,[status(thm)],[])).
% 7.78/6.05 tff(39253,plain,
% 7.78/6.05 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB73) <=> (~((~v159(constB73)) | (~v202(constB73)))))),
% 7.78/6.05 inference(modus_ponens,[status(thm)],[39252, 39251])).
% 7.78/6.05 tff(39254,plain,
% 7.78/6.05 (v205(constB73) <=> (~((~v159(constB73)) | (~v202(constB73))))),
% 7.78/6.05 inference(unit_resolution,[status(thm)],[39253, 138])).
% 7.78/6.05 tff(39255,plain,
% 7.78/6.05 (((~v159(constB73)) | (~v202(constB73))) | v159(constB73)),
% 7.78/6.05 inference(tautology,[status(thm)],[])).
% 7.78/6.05 tff(39256,plain,
% 7.78/6.05 ((~v159(constB73)) | (~v202(constB73))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39255, 31737])).
% 7.78/6.06 tff(39257,plain,
% 7.78/6.06 ((~(v205(constB73) <=> (~((~v159(constB73)) | (~v202(constB73)))))) | (~v205(constB73)) | (~((~v159(constB73)) | (~v202(constB73))))),
% 7.78/6.06 inference(tautology,[status(thm)],[])).
% 7.78/6.06 tff(39258,plain,
% 7.78/6.06 (~v205(constB73)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39257, 39256, 39254])).
% 7.78/6.06 tff(39259,plain,
% 7.78/6.06 ((~(v201(constB73) | v205(constB73))) | v201(constB73) | v205(constB73)),
% 7.78/6.06 inference(tautology,[status(thm)],[])).
% 7.78/6.06 tff(39260,plain,
% 7.78/6.06 ((~(v201(constB73) | v205(constB73))) | v201(constB73)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39259, 39258])).
% 7.78/6.06 tff(39261,plain,
% 7.78/6.06 (~(v201(constB73) | v205(constB73))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39260, 39247])).
% 7.78/6.06 tff(39262,plain,
% 7.78/6.06 ((~(v200(constB73) <=> (v201(constB73) | v205(constB73)))) | (~v200(constB73)) | (v201(constB73) | v205(constB73))),
% 7.78/6.06 inference(tautology,[status(thm)],[])).
% 7.78/6.06 tff(39263,plain,
% 7.78/6.06 (~v200(constB73)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39262, 39261, 39002])).
% 7.78/6.06 tff(39264,plain,
% 7.78/6.06 ($false),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39263, 39000])).
% 7.78/6.06 tff(39265,plain,(~(constB73 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.78/6.06 tff(39266,assumption,(constB123 = VarCurr!0), introduced(assumption)).
% 7.78/6.06 tff(39267,plain,
% 7.78/6.06 (v200(constB123) <=> v200(VarCurr!0)),
% 7.78/6.06 inference(monotonicity,[status(thm)],[39266])).
% 7.78/6.06 tff(39268,plain,
% 7.78/6.06 (v200(VarCurr!0) <=> v200(constB123)),
% 7.78/6.06 inference(symmetry,[status(thm)],[39267])).
% 7.78/6.06 tff(39269,plain,
% 7.78/6.06 (v200(constB123)),
% 7.78/6.06 inference(modus_ponens,[status(thm)],[27, 39268])).
% 7.78/6.06 tff(39270,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB123) <=> (v201(constB123) | v205(constB123)))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39271,plain,
% 7.78/6.06 (v200(constB123) <=> (v201(constB123) | v205(constB123))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39270, 35])).
% 7.78/6.06 tff(39272,plain,
% 7.78/6.06 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB123) <=> (~((~v157(constB123)) | (~v202(constB123)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB123) <=> (~((~v157(constB123)) | (~v202(constB123))))))),
% 7.78/6.06 inference(rewrite,[status(thm)],[])).
% 7.78/6.06 tff(39273,plain,
% 7.78/6.06 ((v201(constB123) <=> (~((~v202(constB123)) | (~v157(constB123))))) <=> (v201(constB123) <=> (~((~v157(constB123)) | (~v202(constB123)))))),
% 7.78/6.06 inference(rewrite,[status(thm)],[])).
% 7.78/6.06 tff(39274,plain,
% 7.78/6.06 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB123) <=> (~((~v202(constB123)) | (~v157(constB123)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB123) <=> (~((~v157(constB123)) | (~v202(constB123))))))),
% 7.78/6.06 inference(monotonicity,[status(thm)],[39273])).
% 7.78/6.06 tff(39275,plain,
% 7.78/6.06 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB123) <=> (~((~v202(constB123)) | (~v157(constB123)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB123) <=> (~((~v157(constB123)) | (~v202(constB123))))))),
% 7.78/6.06 inference(transitivity,[status(thm)],[39274, 39272])).
% 7.78/6.06 tff(39276,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB123) <=> (~((~v202(constB123)) | (~v157(constB123)))))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39277,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB123) <=> (~((~v157(constB123)) | (~v202(constB123)))))),
% 7.78/6.06 inference(modus_ponens,[status(thm)],[39276, 39275])).
% 7.78/6.06 tff(39278,plain,
% 7.78/6.06 (v201(constB123) <=> (~((~v157(constB123)) | (~v202(constB123))))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39277, 47])).
% 7.78/6.06 tff(39279,plain,
% 7.78/6.06 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB123) <=> v192(constB123))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39280,plain,
% 7.78/6.06 (v157(constB123) <=> v192(constB123)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39279, 15407])).
% 7.78/6.06 tff(39281,plain,
% 7.78/6.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB122, constB123)) | (v192(constB123) <=> v190(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB122, constB123)) | (v192(constB123) <=> v190(constB122)))),
% 7.78/6.06 inference(rewrite,[status(thm)],[])).
% 7.78/6.06 tff(39282,plain,
% 7.78/6.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB122, constB123)) | (v192(constB123) <=> v190(constB122)))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39283,plain,
% 7.78/6.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB122, constB123)) | (v192(constB123) <=> v190(constB122))),
% 7.78/6.06 inference(modus_ponens,[status(thm)],[39282, 39281])).
% 7.78/6.06 tff(39284,plain,
% 7.78/6.06 (v192(constB123) <=> v190(constB122)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39283, 575, 15419])).
% 7.78/6.06 tff(39285,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB122) <=> (v193(constB122) | v196(constB122)))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39286,plain,
% 7.78/6.06 (v190(constB122) <=> (v193(constB122) | v196(constB122))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39285, 15430])).
% 7.78/6.06 tff(39287,plain,
% 7.78/6.06 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB122) <=> (~((~v157(constB122)) | (~v194(constB122)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB122) <=> (~((~v157(constB122)) | (~v194(constB122))))))),
% 7.78/6.06 inference(rewrite,[status(thm)],[])).
% 7.78/6.06 tff(39288,plain,
% 7.78/6.06 ((v193(constB122) <=> (~((~v194(constB122)) | (~v157(constB122))))) <=> (v193(constB122) <=> (~((~v157(constB122)) | (~v194(constB122)))))),
% 7.78/6.06 inference(rewrite,[status(thm)],[])).
% 7.78/6.06 tff(39289,plain,
% 7.78/6.06 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB122) <=> (~((~v194(constB122)) | (~v157(constB122)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB122) <=> (~((~v157(constB122)) | (~v194(constB122))))))),
% 7.78/6.06 inference(monotonicity,[status(thm)],[39288])).
% 7.78/6.06 tff(39290,plain,
% 7.78/6.06 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB122) <=> (~((~v194(constB122)) | (~v157(constB122)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB122) <=> (~((~v157(constB122)) | (~v194(constB122))))))),
% 7.78/6.06 inference(transitivity,[status(thm)],[39289, 39287])).
% 7.78/6.06 tff(39291,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB122) <=> (~((~v194(constB122)) | (~v157(constB122)))))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39292,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB122) <=> (~((~v157(constB122)) | (~v194(constB122)))))),
% 7.78/6.06 inference(modus_ponens,[status(thm)],[39291, 39290])).
% 7.78/6.06 tff(39293,plain,
% 7.78/6.06 (v193(constB122) <=> (~((~v157(constB122)) | (~v194(constB122))))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39292, 15442])).
% 7.78/6.06 tff(39294,plain,
% 7.78/6.06 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB122) <=> v192(constB122))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39295,plain,
% 7.78/6.06 (v157(constB122) <=> v192(constB122)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39294, 15407])).
% 7.78/6.06 tff(39296,plain,
% 7.78/6.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB121, constB122)) | (v192(constB122) <=> v190(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB121, constB122)) | (v192(constB122) <=> v190(constB121)))),
% 7.78/6.06 inference(rewrite,[status(thm)],[])).
% 7.78/6.06 tff(39297,plain,
% 7.78/6.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB121, constB122)) | (v192(constB122) <=> v190(constB121)))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39298,plain,
% 7.78/6.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB121, constB122)) | (v192(constB122) <=> v190(constB121))),
% 7.78/6.06 inference(modus_ponens,[status(thm)],[39297, 39296])).
% 7.78/6.06 tff(39299,plain,
% 7.78/6.06 (v192(constB122) <=> v190(constB121)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39298, 611, 15419])).
% 7.78/6.06 tff(39300,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB121) <=> (v193(constB121) | v196(constB121)))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39301,plain,
% 7.78/6.06 (v190(constB121) <=> (v193(constB121) | v196(constB121))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39300, 15430])).
% 7.78/6.06 tff(39302,plain,
% 7.78/6.06 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB121) <=> (~((~v159(constB121)) | (~v194(constB121)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB121) <=> (~((~v159(constB121)) | (~v194(constB121))))))),
% 7.78/6.06 inference(rewrite,[status(thm)],[])).
% 7.78/6.06 tff(39303,plain,
% 7.78/6.06 ((v196(constB121) <=> (~((~v194(constB121)) | (~v159(constB121))))) <=> (v196(constB121) <=> (~((~v159(constB121)) | (~v194(constB121)))))),
% 7.78/6.06 inference(rewrite,[status(thm)],[])).
% 7.78/6.06 tff(39304,plain,
% 7.78/6.06 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB121) <=> (~((~v194(constB121)) | (~v159(constB121)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB121) <=> (~((~v159(constB121)) | (~v194(constB121))))))),
% 7.78/6.06 inference(monotonicity,[status(thm)],[39303])).
% 7.78/6.06 tff(39305,plain,
% 7.78/6.06 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB121) <=> (~((~v194(constB121)) | (~v159(constB121)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB121) <=> (~((~v159(constB121)) | (~v194(constB121))))))),
% 7.78/6.06 inference(transitivity,[status(thm)],[39304, 39302])).
% 7.78/6.06 tff(39306,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB121) <=> (~((~v194(constB121)) | (~v159(constB121)))))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39307,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB121) <=> (~((~v159(constB121)) | (~v194(constB121)))))),
% 7.78/6.06 inference(modus_ponens,[status(thm)],[39306, 39305])).
% 7.78/6.06 tff(39308,plain,
% 7.78/6.06 (v196(constB121) <=> (~((~v159(constB121)) | (~v194(constB121))))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39307, 15467])).
% 7.78/6.06 tff(39309,plain,
% 7.78/6.06 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB121) <=> v182(constB121))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39310,plain,
% 7.78/6.06 (v159(constB121) <=> v182(constB121)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39309, 15113])).
% 7.78/6.06 tff(39311,plain,
% 7.78/6.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB120, constB121)) | (v182(constB121) <=> v180(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB120, constB121)) | (v182(constB121) <=> v180(constB120)))),
% 7.78/6.06 inference(rewrite,[status(thm)],[])).
% 7.78/6.06 tff(39312,plain,
% 7.78/6.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB120, constB121)) | (v182(constB121) <=> v180(constB120)))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39313,plain,
% 7.78/6.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB120, constB121)) | (v182(constB121) <=> v180(constB120))),
% 7.78/6.06 inference(modus_ponens,[status(thm)],[39312, 39311])).
% 7.78/6.06 tff(39314,plain,
% 7.78/6.06 (v182(constB121) <=> v180(constB120)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39313, 654, 15125])).
% 7.78/6.06 tff(39315,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB120) <=> (~((~v183(constB120)) | (~v184(constB120)))))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39316,plain,
% 7.78/6.06 (v180(constB120) <=> (~((~v183(constB120)) | (~v184(constB120))))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39315, 15139])).
% 7.78/6.06 tff(39317,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB120) <=> (~((~v185(constB120)) | (~v161(constB120)))))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39318,plain,
% 7.78/6.06 (v184(constB120) <=> (~((~v185(constB120)) | (~v161(constB120))))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39317, 15151])).
% 7.78/6.06 tff(39319,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39320,plain,
% 7.78/6.06 (v185(constB120) <=> (~((~v39(constB120)) | (~v9(constB120))))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39319, 93])).
% 7.78/6.06 tff(39321,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB120)) <=> v1(constB120))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39322,plain,
% 7.78/6.06 ((~v39(constB120)) <=> v1(constB120)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39321, 102])).
% 7.78/6.06 tff(39323,plain,
% 7.78/6.06 ((~((~v39(constB120)) <=> v1(constB120))) | (~v39(constB120)) | (~v1(constB120))),
% 7.78/6.06 inference(tautology,[status(thm)],[])).
% 7.78/6.06 tff(39324,plain,
% 7.78/6.06 ((~((~v39(constB120)) <=> v1(constB120))) | (~v39(constB120))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39323, 14264])).
% 7.78/6.06 tff(39325,plain,
% 7.78/6.06 (~v39(constB120)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39324, 39322])).
% 7.78/6.06 tff(39326,plain,
% 7.78/6.06 (((~v39(constB120)) | (~v9(constB120))) | v39(constB120)),
% 7.78/6.06 inference(tautology,[status(thm)],[])).
% 7.78/6.06 tff(39327,plain,
% 7.78/6.06 ((~v39(constB120)) | (~v9(constB120))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39326, 39325])).
% 7.78/6.06 tff(39328,plain,
% 7.78/6.06 ((~(v185(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))) | (~v185(constB120)) | (~((~v39(constB120)) | (~v9(constB120))))),
% 7.78/6.06 inference(tautology,[status(thm)],[])).
% 7.78/6.06 tff(39329,plain,
% 7.78/6.06 ((~(v185(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))) | (~v185(constB120))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39328, 39327])).
% 7.78/6.06 tff(39330,plain,
% 7.78/6.06 (~v185(constB120)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39329, 39320])).
% 7.78/6.06 tff(39331,plain,
% 7.78/6.06 (((~v185(constB120)) | (~v161(constB120))) | v185(constB120)),
% 7.78/6.06 inference(tautology,[status(thm)],[])).
% 7.78/6.06 tff(39332,plain,
% 7.78/6.06 ((~v185(constB120)) | (~v161(constB120))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39331, 39330])).
% 7.78/6.06 tff(39333,plain,
% 7.78/6.06 ((~(v184(constB120) <=> (~((~v185(constB120)) | (~v161(constB120)))))) | (~v184(constB120)) | (~((~v185(constB120)) | (~v161(constB120))))),
% 7.78/6.06 inference(tautology,[status(thm)],[])).
% 7.78/6.06 tff(39334,plain,
% 7.78/6.06 ((~(v184(constB120) <=> (~((~v185(constB120)) | (~v161(constB120)))))) | (~v184(constB120))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39333, 39332])).
% 7.78/6.06 tff(39335,plain,
% 7.78/6.06 (~v184(constB120)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39334, 39318])).
% 7.78/6.06 tff(39336,plain,
% 7.78/6.06 (((~v183(constB120)) | (~v184(constB120))) | v184(constB120)),
% 7.78/6.06 inference(tautology,[status(thm)],[])).
% 7.78/6.06 tff(39337,plain,
% 7.78/6.06 ((~v183(constB120)) | (~v184(constB120))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39336, 39335])).
% 7.78/6.06 tff(39338,plain,
% 7.78/6.06 ((~(v180(constB120) <=> (~((~v183(constB120)) | (~v184(constB120)))))) | (~v180(constB120)) | (~((~v183(constB120)) | (~v184(constB120))))),
% 7.78/6.06 inference(tautology,[status(thm)],[])).
% 7.78/6.06 tff(39339,plain,
% 7.78/6.06 (~v180(constB120)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39338, 39337, 39316])).
% 7.78/6.06 tff(39340,plain,
% 7.78/6.06 ((~(v182(constB121) <=> v180(constB120))) | (~v182(constB121)) | v180(constB120)),
% 7.78/6.06 inference(tautology,[status(thm)],[])).
% 7.78/6.06 tff(39341,plain,
% 7.78/6.06 (~v182(constB121)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39340, 39339, 39314])).
% 7.78/6.06 tff(39342,plain,
% 7.78/6.06 ((~(v159(constB121) <=> v182(constB121))) | (~v159(constB121)) | v182(constB121)),
% 7.78/6.06 inference(tautology,[status(thm)],[])).
% 7.78/6.06 tff(39343,plain,
% 7.78/6.06 (~v159(constB121)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39342, 39341, 39310])).
% 7.78/6.06 tff(39344,plain,
% 7.78/6.06 (((~v159(constB121)) | (~v194(constB121))) | v159(constB121)),
% 7.78/6.06 inference(tautology,[status(thm)],[])).
% 7.78/6.06 tff(39345,plain,
% 7.78/6.06 ((~v159(constB121)) | (~v194(constB121))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39344, 39343])).
% 7.78/6.06 tff(39346,plain,
% 7.78/6.06 ((~(v196(constB121) <=> (~((~v159(constB121)) | (~v194(constB121)))))) | (~v196(constB121)) | (~((~v159(constB121)) | (~v194(constB121))))),
% 7.78/6.06 inference(tautology,[status(thm)],[])).
% 7.78/6.06 tff(39347,plain,
% 7.78/6.06 (~v196(constB121)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39346, 39345, 39308])).
% 7.78/6.06 tff(39348,plain,
% 7.78/6.06 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB121) <=> (~((~v157(constB121)) | (~v194(constB121)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB121) <=> (~((~v157(constB121)) | (~v194(constB121))))))),
% 7.78/6.06 inference(rewrite,[status(thm)],[])).
% 7.78/6.06 tff(39349,plain,
% 7.78/6.06 ((v193(constB121) <=> (~((~v194(constB121)) | (~v157(constB121))))) <=> (v193(constB121) <=> (~((~v157(constB121)) | (~v194(constB121)))))),
% 7.78/6.06 inference(rewrite,[status(thm)],[])).
% 7.78/6.06 tff(39350,plain,
% 7.78/6.06 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB121) <=> (~((~v194(constB121)) | (~v157(constB121)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB121) <=> (~((~v157(constB121)) | (~v194(constB121))))))),
% 7.78/6.06 inference(monotonicity,[status(thm)],[39349])).
% 7.78/6.06 tff(39351,plain,
% 7.78/6.06 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB121) <=> (~((~v194(constB121)) | (~v157(constB121)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB121) <=> (~((~v157(constB121)) | (~v194(constB121))))))),
% 7.78/6.06 inference(transitivity,[status(thm)],[39350, 39348])).
% 7.78/6.06 tff(39352,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB121) <=> (~((~v194(constB121)) | (~v157(constB121)))))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39353,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB121) <=> (~((~v157(constB121)) | (~v194(constB121)))))),
% 7.78/6.06 inference(modus_ponens,[status(thm)],[39352, 39351])).
% 7.78/6.06 tff(39354,plain,
% 7.78/6.06 (v193(constB121) <=> (~((~v157(constB121)) | (~v194(constB121))))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39353, 15442])).
% 7.78/6.06 tff(39355,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB121)) <=> v195(constB121))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39356,plain,
% 7.78/6.06 ((~v194(constB121)) <=> v195(constB121)),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39355, 15527])).
% 7.78/6.06 tff(39357,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB121) <=> (v185(constB121) | v26(constB121)))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39358,plain,
% 7.78/6.06 (v195(constB121) <=> (v185(constB121) | v26(constB121))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39357, 15536])).
% 7.78/6.06 tff(39359,plain,
% 7.78/6.06 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))),
% 7.78/6.06 inference(quant_inst,[status(thm)],[])).
% 7.78/6.06 tff(39360,plain,
% 7.78/6.06 (v185(constB121) <=> (~((~v39(constB121)) | (~v9(constB121))))),
% 7.78/6.06 inference(unit_resolution,[status(thm)],[39359, 93])).
% 7.78/6.06 tff(39361,plain,
% 7.78/6.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121)))),
% 7.78/6.06 inference(rewrite,[status(thm)],[])).
% 7.78/6.06 tff(39362,plain,
% 7.78/6.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121)))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39363,plain,
% 7.88/6.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121))),
% 7.88/6.06 inference(modus_ponens,[status(thm)],[39362, 39361])).
% 7.88/6.06 tff(39364,plain,
% 7.88/6.06 (v13(constB122) <=> v9(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39363, 611, 15550])).
% 7.88/6.06 tff(39365,plain,
% 7.88/6.06 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB122) <=> v13(constB122))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39366,plain,
% 7.88/6.06 (v6(constB122) <=> v13(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39365, 15564])).
% 7.88/6.06 tff(39367,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB122)) <=> v6(constB122))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39368,plain,
% 7.88/6.06 ((~v21(constB122)) <=> v6(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39367, 15573])).
% 7.88/6.06 tff(39369,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB122) <=> (v20(constB122) | v21(constB122)))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39370,plain,
% 7.88/6.06 (v19(constB122) <=> (v20(constB122) | v21(constB122))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39369, 15582])).
% 7.88/6.06 tff(39371,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39372,plain,
% 7.88/6.06 (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122))))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39371, 15594])).
% 7.88/6.06 tff(39373,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB122)) <=> v18(constB122))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39374,plain,
% 7.88/6.06 ((~v4(constB122)) <=> v18(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39373, 15603])).
% 7.88/6.06 tff(39375,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB122)),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39376,plain,
% 7.88/6.06 (v4(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39375, 15612])).
% 7.88/6.06 tff(39377,plain,
% 7.88/6.06 ((~((~v4(constB122)) <=> v18(constB122))) | (~v4(constB122)) | (~v18(constB122))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39378,plain,
% 7.88/6.06 (~v18(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39377, 39376, 39374])).
% 7.88/6.06 tff(39379,plain,
% 7.88/6.06 ((~(v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))) | v18(constB122) | ((~v19(constB122)) | (~v22(constB122)))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39380,plain,
% 7.88/6.06 ((~v19(constB122)) | (~v22(constB122))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39379, 39378, 39372])).
% 7.88/6.06 tff(39381,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB122) <=> (v1(constB122) | v6(constB122)))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39382,plain,
% 7.88/6.06 (v22(constB122) <=> (v1(constB122) | v6(constB122))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39381, 15625])).
% 7.88/6.06 tff(39383,plain,
% 7.88/6.06 ((v1(constB122) | v6(constB122)) | (~v1(constB122))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39384,plain,
% 7.88/6.06 (v1(constB122) | v6(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39383, 14419])).
% 7.88/6.06 tff(39385,plain,
% 7.88/6.06 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122) | (~(v1(constB122) | v6(constB122)))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39386,plain,
% 7.88/6.06 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39385, 39384])).
% 7.88/6.06 tff(39387,plain,
% 7.88/6.06 (v22(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39386, 39382])).
% 7.88/6.06 tff(39388,plain,
% 7.88/6.06 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122)) | (~v22(constB122))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39389,plain,
% 7.88/6.06 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39388, 39387])).
% 7.88/6.06 tff(39390,plain,
% 7.88/6.06 (~v19(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39389, 39380])).
% 7.88/6.06 tff(39391,plain,
% 7.88/6.06 ((~(v19(constB122) <=> (v20(constB122) | v21(constB122)))) | v19(constB122) | (~(v20(constB122) | v21(constB122)))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39392,plain,
% 7.88/6.06 (~(v20(constB122) | v21(constB122))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39391, 39390, 39370])).
% 7.88/6.06 tff(39393,plain,
% 7.88/6.06 ((v20(constB122) | v21(constB122)) | (~v21(constB122))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39394,plain,
% 7.88/6.06 (~v21(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39393, 39392])).
% 7.88/6.06 tff(39395,plain,
% 7.88/6.06 ((~((~v21(constB122)) <=> v6(constB122))) | v21(constB122) | v6(constB122)),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39396,plain,
% 7.88/6.06 (v6(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39395, 39394, 39368])).
% 7.88/6.06 tff(39397,plain,
% 7.88/6.06 ((~(v6(constB122) <=> v13(constB122))) | (~v6(constB122)) | v13(constB122)),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39398,plain,
% 7.88/6.06 (v13(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39397, 39396, 39366])).
% 7.88/6.06 tff(39399,plain,
% 7.88/6.06 ((~(v13(constB122) <=> v9(constB121))) | (~v13(constB122)) | v9(constB121)),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39400,plain,
% 7.88/6.06 (v9(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39399, 39398, 39364])).
% 7.88/6.06 tff(39401,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB121)) <=> v1(constB121))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39402,plain,
% 7.88/6.06 ((~v39(constB121)) <=> v1(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39401, 102])).
% 7.88/6.06 tff(39403,plain,
% 7.88/6.06 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121) | v1(constB121)),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39404,plain,
% 7.88/6.06 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39403, 668])).
% 7.88/6.06 tff(39405,plain,
% 7.88/6.06 (v39(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39404, 39402])).
% 7.88/6.06 tff(39406,plain,
% 7.88/6.06 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v39(constB121)) | (~v9(constB121))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39407,plain,
% 7.88/6.06 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v9(constB121))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39406, 39405])).
% 7.88/6.06 tff(39408,plain,
% 7.88/6.06 (~((~v39(constB121)) | (~v9(constB121)))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39407, 39400])).
% 7.88/6.06 tff(39409,plain,
% 7.88/6.06 ((~(v185(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))) | v185(constB121) | ((~v39(constB121)) | (~v9(constB121)))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39410,plain,
% 7.88/6.06 (v185(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39409, 39408, 39360])).
% 7.88/6.06 tff(39411,plain,
% 7.88/6.06 ((v185(constB121) | v26(constB121)) | (~v185(constB121))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39412,plain,
% 7.88/6.06 (v185(constB121) | v26(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39411, 39410])).
% 7.88/6.06 tff(39413,plain,
% 7.88/6.06 ((~(v195(constB121) <=> (v185(constB121) | v26(constB121)))) | v195(constB121) | (~(v185(constB121) | v26(constB121)))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39414,plain,
% 7.88/6.06 (v195(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39413, 39412, 39358])).
% 7.88/6.06 tff(39415,plain,
% 7.88/6.06 ((~((~v194(constB121)) <=> v195(constB121))) | (~v194(constB121)) | (~v195(constB121))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39416,plain,
% 7.88/6.06 (~v194(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39415, 39414, 39356])).
% 7.88/6.06 tff(39417,plain,
% 7.88/6.06 (((~v157(constB121)) | (~v194(constB121))) | v194(constB121)),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39418,plain,
% 7.88/6.06 ((~v157(constB121)) | (~v194(constB121))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39417, 39416])).
% 7.88/6.06 tff(39419,plain,
% 7.88/6.06 ((~(v193(constB121) <=> (~((~v157(constB121)) | (~v194(constB121)))))) | (~v193(constB121)) | (~((~v157(constB121)) | (~v194(constB121))))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39420,plain,
% 7.88/6.06 (~v193(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39419, 39418, 39354])).
% 7.88/6.06 tff(39421,plain,
% 7.88/6.06 ((~(v193(constB121) | v196(constB121))) | v193(constB121) | v196(constB121)),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39422,plain,
% 7.88/6.06 (~(v193(constB121) | v196(constB121))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39421, 39420, 39347])).
% 7.88/6.06 tff(39423,plain,
% 7.88/6.06 ((~(v190(constB121) <=> (v193(constB121) | v196(constB121)))) | (~v190(constB121)) | (v193(constB121) | v196(constB121))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39424,plain,
% 7.88/6.06 (~v190(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39423, 39422, 39301])).
% 7.88/6.06 tff(39425,plain,
% 7.88/6.06 ((~(v192(constB122) <=> v190(constB121))) | (~v192(constB122)) | v190(constB121)),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39426,plain,
% 7.88/6.06 (~v192(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39425, 39424, 39299])).
% 7.88/6.06 tff(39427,plain,
% 7.88/6.06 ((~(v157(constB122) <=> v192(constB122))) | (~v157(constB122)) | v192(constB122)),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39428,plain,
% 7.88/6.06 (~v157(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39427, 39426, 39295])).
% 7.88/6.06 tff(39429,plain,
% 7.88/6.06 (((~v157(constB122)) | (~v194(constB122))) | v157(constB122)),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39430,plain,
% 7.88/6.06 ((~v157(constB122)) | (~v194(constB122))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39429, 39428])).
% 7.88/6.06 tff(39431,plain,
% 7.88/6.06 ((~(v193(constB122) <=> (~((~v157(constB122)) | (~v194(constB122)))))) | (~v193(constB122)) | (~((~v157(constB122)) | (~v194(constB122))))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39432,plain,
% 7.88/6.06 (~v193(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39431, 39430, 39293])).
% 7.88/6.06 tff(39433,plain,
% 7.88/6.06 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB122) <=> (~((~v159(constB122)) | (~v194(constB122)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB122) <=> (~((~v159(constB122)) | (~v194(constB122))))))),
% 7.88/6.06 inference(rewrite,[status(thm)],[])).
% 7.88/6.06 tff(39434,plain,
% 7.88/6.06 ((v196(constB122) <=> (~((~v194(constB122)) | (~v159(constB122))))) <=> (v196(constB122) <=> (~((~v159(constB122)) | (~v194(constB122)))))),
% 7.88/6.06 inference(rewrite,[status(thm)],[])).
% 7.88/6.06 tff(39435,plain,
% 7.88/6.06 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB122) <=> (~((~v194(constB122)) | (~v159(constB122)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB122) <=> (~((~v159(constB122)) | (~v194(constB122))))))),
% 7.88/6.06 inference(monotonicity,[status(thm)],[39434])).
% 7.88/6.06 tff(39436,plain,
% 7.88/6.06 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB122) <=> (~((~v194(constB122)) | (~v159(constB122)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB122) <=> (~((~v159(constB122)) | (~v194(constB122))))))),
% 7.88/6.06 inference(transitivity,[status(thm)],[39435, 39433])).
% 7.88/6.06 tff(39437,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB122) <=> (~((~v194(constB122)) | (~v159(constB122)))))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39438,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB122) <=> (~((~v159(constB122)) | (~v194(constB122)))))),
% 7.88/6.06 inference(modus_ponens,[status(thm)],[39437, 39436])).
% 7.88/6.06 tff(39439,plain,
% 7.88/6.06 (v196(constB122) <=> (~((~v159(constB122)) | (~v194(constB122))))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39438, 15467])).
% 7.88/6.06 tff(39440,plain,
% 7.88/6.06 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB122) <=> v182(constB122))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39441,plain,
% 7.88/6.06 (v159(constB122) <=> v182(constB122)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39440, 15113])).
% 7.88/6.06 tff(39442,plain,
% 7.88/6.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB121, constB122)) | (v182(constB122) <=> v180(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB121, constB122)) | (v182(constB122) <=> v180(constB121)))),
% 7.88/6.06 inference(rewrite,[status(thm)],[])).
% 7.88/6.06 tff(39443,plain,
% 7.88/6.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB121, constB122)) | (v182(constB122) <=> v180(constB121)))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39444,plain,
% 7.88/6.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB121, constB122)) | (v182(constB122) <=> v180(constB121))),
% 7.88/6.06 inference(modus_ponens,[status(thm)],[39443, 39442])).
% 7.88/6.06 tff(39445,plain,
% 7.88/6.06 (v182(constB122) <=> v180(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39444, 611, 15125])).
% 7.88/6.06 tff(39446,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB121) <=> (~((~v183(constB121)) | (~v184(constB121)))))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39447,plain,
% 7.88/6.06 (v180(constB121) <=> (~((~v183(constB121)) | (~v184(constB121))))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39446, 15139])).
% 7.88/6.06 tff(39448,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB121) <=> (~((~v185(constB121)) | (~v161(constB121)))))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39449,plain,
% 7.88/6.06 (v184(constB121) <=> (~((~v185(constB121)) | (~v161(constB121))))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39448, 15151])).
% 7.88/6.06 tff(39450,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB121) <=> v163(constB121))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39451,plain,
% 7.88/6.06 (v161(constB121) <=> v163(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39450, 15701])).
% 7.88/6.06 tff(39452,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB121) <=> (v145(constB121) | v167(constB121)))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39453,plain,
% 7.88/6.06 (v166(constB121) <=> (v145(constB121) | v167(constB121))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39452, 15713])).
% 7.88/6.06 tff(39454,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB121) <=> (v142(constB121) | v168(constB121)))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39455,plain,
% 7.88/6.06 (v167(constB121) <=> (v142(constB121) | v168(constB121))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39454, 15725])).
% 7.88/6.06 tff(39456,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB121) <=> (v141(constB121) | v169(constB121)))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39457,plain,
% 7.88/6.06 (v168(constB121) <=> (v141(constB121) | v169(constB121))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39456, 26253])).
% 7.88/6.06 tff(39458,plain,
% 7.88/6.06 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB121) <=> (~((~v88(constB121, 1)) | v88(constB121, 2) | (~v88(constB121, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB121) <=> (~((~v88(constB121, 1)) | v88(constB121, 2) | (~v88(constB121, 0))))))),
% 7.88/6.06 inference(rewrite,[status(thm)],[])).
% 7.88/6.06 tff(39459,plain,
% 7.88/6.06 ((v141(constB121) <=> (~(v88(constB121, 2) | (~v88(constB121, 1)) | (~v88(constB121, 0))))) <=> (v141(constB121) <=> (~((~v88(constB121, 1)) | v88(constB121, 2) | (~v88(constB121, 0)))))),
% 7.88/6.06 inference(rewrite,[status(thm)],[])).
% 7.88/6.06 tff(39460,plain,
% 7.88/6.06 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB121) <=> (~(v88(constB121, 2) | (~v88(constB121, 1)) | (~v88(constB121, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB121) <=> (~((~v88(constB121, 1)) | v88(constB121, 2) | (~v88(constB121, 0))))))),
% 7.88/6.06 inference(monotonicity,[status(thm)],[39459])).
% 7.88/6.06 tff(39461,plain,
% 7.88/6.06 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB121) <=> (~(v88(constB121, 2) | (~v88(constB121, 1)) | (~v88(constB121, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB121) <=> (~((~v88(constB121, 1)) | v88(constB121, 2) | (~v88(constB121, 0))))))),
% 7.88/6.06 inference(transitivity,[status(thm)],[39460, 39458])).
% 7.88/6.06 tff(39462,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB121) <=> (~(v88(constB121, 2) | (~v88(constB121, 1)) | (~v88(constB121, 0)))))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39463,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB121) <=> (~((~v88(constB121, 1)) | v88(constB121, 2) | (~v88(constB121, 0)))))),
% 7.88/6.06 inference(modus_ponens,[status(thm)],[39462, 39461])).
% 7.88/6.06 tff(39464,plain,
% 7.88/6.06 (v141(constB121) <=> (~((~v88(constB121, 1)) | v88(constB121, 2) | (~v88(constB121, 0))))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39463, 26268])).
% 7.88/6.06 tff(39465,plain,
% 7.88/6.06 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB121, 1)) <=> v90(constB121, 1)) | ((~v88(constB121, 2)) <=> v90(constB121, 2)) | ((~v88(constB121, 0)) <=> v90(constB121, 0))))),
% 7.88/6.06 inference(quant_inst,[status(thm)],[])).
% 7.88/6.06 tff(39466,plain,
% 7.88/6.06 (~(((~v88(constB121, 1)) <=> v90(constB121, 1)) | ((~v88(constB121, 2)) <=> v90(constB121, 2)) | ((~v88(constB121, 0)) <=> v90(constB121, 0)))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39465, 256])).
% 7.88/6.06 tff(39467,plain,
% 7.88/6.06 ((((~v88(constB121, 1)) <=> v90(constB121, 1)) | ((~v88(constB121, 2)) <=> v90(constB121, 2)) | ((~v88(constB121, 0)) <=> v90(constB121, 0))) | (~((~v88(constB121, 2)) <=> v90(constB121, 2)))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39468,plain,
% 7.88/6.06 (~((~v88(constB121, 2)) <=> v90(constB121, 2))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39467, 39466])).
% 7.88/6.06 tff(39469,plain,
% 7.88/6.06 (((~v88(constB121, 2)) <=> v90(constB121, 2)) | (~v88(constB121, 2)) | v90(constB121, 2)),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39470,plain,
% 7.88/6.06 (~v88(constB121, 2)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39469, 14338, 39468])).
% 7.88/6.06 tff(39471,plain,
% 7.88/6.06 ((((~v88(constB121, 1)) <=> v90(constB121, 1)) | ((~v88(constB121, 2)) <=> v90(constB121, 2)) | ((~v88(constB121, 0)) <=> v90(constB121, 0))) | (~((~v88(constB121, 0)) <=> v90(constB121, 0)))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39472,plain,
% 7.88/6.06 (~((~v88(constB121, 0)) <=> v90(constB121, 0))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39471, 39466])).
% 7.88/6.06 tff(39473,plain,
% 7.88/6.06 (((~v88(constB121, 0)) <=> v90(constB121, 0)) | v88(constB121, 0) | (~v90(constB121, 0))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39474,plain,
% 7.88/6.06 (v88(constB121, 0)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39473, 14356, 39472])).
% 7.88/6.06 tff(39475,plain,
% 7.88/6.06 ((((~v88(constB121, 1)) <=> v90(constB121, 1)) | ((~v88(constB121, 2)) <=> v90(constB121, 2)) | ((~v88(constB121, 0)) <=> v90(constB121, 0))) | (~((~v88(constB121, 1)) <=> v90(constB121, 1)))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39476,plain,
% 7.88/6.06 (~((~v88(constB121, 1)) <=> v90(constB121, 1))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39475, 39466])).
% 7.88/6.06 tff(39477,plain,
% 7.88/6.06 (((~v88(constB121, 1)) <=> v90(constB121, 1)) | v88(constB121, 1) | (~v90(constB121, 1))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39478,plain,
% 7.88/6.06 (v88(constB121, 1)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39477, 14374, 39476])).
% 7.88/6.06 tff(39479,plain,
% 7.88/6.06 ((~((~v88(constB121, 1)) | v88(constB121, 2) | (~v88(constB121, 0)))) | (~v88(constB121, 1)) | v88(constB121, 2) | (~v88(constB121, 0))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39480,plain,
% 7.88/6.06 (~((~v88(constB121, 1)) | v88(constB121, 2) | (~v88(constB121, 0)))),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39479, 39478, 39474, 39470])).
% 7.88/6.06 tff(39481,plain,
% 7.88/6.06 ((~(v141(constB121) <=> (~((~v88(constB121, 1)) | v88(constB121, 2) | (~v88(constB121, 0)))))) | v141(constB121) | ((~v88(constB121, 1)) | v88(constB121, 2) | (~v88(constB121, 0)))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39482,plain,
% 7.88/6.06 (v141(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39481, 39480, 39464])).
% 7.88/6.06 tff(39483,plain,
% 7.88/6.06 ((v141(constB121) | v169(constB121)) | (~v141(constB121))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39484,plain,
% 7.88/6.06 (v141(constB121) | v169(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39483, 39482])).
% 7.88/6.06 tff(39485,plain,
% 7.88/6.06 ((~(v168(constB121) <=> (v141(constB121) | v169(constB121)))) | v168(constB121) | (~(v141(constB121) | v169(constB121)))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39486,plain,
% 7.88/6.06 (v168(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39485, 39484, 39457])).
% 7.88/6.06 tff(39487,plain,
% 7.88/6.06 ((v142(constB121) | v168(constB121)) | (~v168(constB121))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39488,plain,
% 7.88/6.06 (v142(constB121) | v168(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39487, 39486])).
% 7.88/6.06 tff(39489,plain,
% 7.88/6.06 ((~(v167(constB121) <=> (v142(constB121) | v168(constB121)))) | v167(constB121) | (~(v142(constB121) | v168(constB121)))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39490,plain,
% 7.88/6.06 ((~(v167(constB121) <=> (v142(constB121) | v168(constB121)))) | v167(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39489, 39488])).
% 7.88/6.06 tff(39491,plain,
% 7.88/6.06 (v167(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39490, 39455])).
% 7.88/6.06 tff(39492,plain,
% 7.88/6.06 ((v145(constB121) | v167(constB121)) | (~v167(constB121))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39493,plain,
% 7.88/6.06 (v145(constB121) | v167(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39492, 39491])).
% 7.88/6.06 tff(39494,plain,
% 7.88/6.06 ((~(v166(constB121) <=> (v145(constB121) | v167(constB121)))) | v166(constB121) | (~(v145(constB121) | v167(constB121)))),
% 7.88/6.06 inference(tautology,[status(thm)],[])).
% 7.88/6.06 tff(39495,plain,
% 7.88/6.06 (v166(constB121)),
% 7.88/6.06 inference(unit_resolution,[status(thm)],[39494, 39493, 39453])).
% 7.88/6.06 tff(39496,plain,
% 7.88/6.06 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB121)) | (v163(constB121) <=> v170(constB121)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB121)) | (v163(constB121) <=> v170(constB121)))),
% 7.88/6.06 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39497,plain,
% 7.88/6.07 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB121)) | (v163(constB121) <=> v170(constB121)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39498,plain,
% 7.88/6.07 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB121)) | (v163(constB121) <=> v170(constB121))),
% 7.88/6.07 inference(modus_ponens,[status(thm)],[39497, 39496])).
% 7.88/6.07 tff(39499,plain,
% 7.88/6.07 ((~v166(constB121)) | (v163(constB121) <=> v170(constB121))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39498, 15777])).
% 7.88/6.07 tff(39500,plain,
% 7.88/6.07 (v163(constB121) <=> v170(constB121)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39499, 39495])).
% 7.88/6.07 tff(39501,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB121) <=> (~(v88(constB121, 0) | v88(constB121, 1) | v88(constB121, 2))))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39502,plain,
% 7.88/6.07 (v139(constB121) <=> (~(v88(constB121, 0) | v88(constB121, 1) | v88(constB121, 2)))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39501, 15795])).
% 7.88/6.07 tff(39503,plain,
% 7.88/6.07 ((v88(constB121, 0) | v88(constB121, 1) | v88(constB121, 2)) | (~v88(constB121, 1))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39504,plain,
% 7.88/6.07 (v88(constB121, 0) | v88(constB121, 1) | v88(constB121, 2)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39503, 39478])).
% 7.88/6.07 tff(39505,plain,
% 7.88/6.07 ((~(v139(constB121) <=> (~(v88(constB121, 0) | v88(constB121, 1) | v88(constB121, 2))))) | (~v139(constB121)) | (~(v88(constB121, 0) | v88(constB121, 1) | v88(constB121, 2)))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39506,plain,
% 7.88/6.07 (~v139(constB121)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39505, 39504, 39502])).
% 7.88/6.07 tff(39507,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB121) <=> (~(v88(constB121, 1) | v88(constB121, 2) | (~v88(constB121, 0)))))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39508,plain,
% 7.88/6.07 (v140(constB121) <=> (~(v88(constB121, 1) | v88(constB121, 2) | (~v88(constB121, 0))))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39507, 15814])).
% 7.88/6.07 tff(39509,plain,
% 7.88/6.07 ((v88(constB121, 1) | v88(constB121, 2) | (~v88(constB121, 0))) | (~v88(constB121, 1))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39510,plain,
% 7.88/6.07 (v88(constB121, 1) | v88(constB121, 2) | (~v88(constB121, 0))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39509, 39478])).
% 7.88/6.07 tff(39511,plain,
% 7.88/6.07 ((~(v140(constB121) <=> (~(v88(constB121, 1) | v88(constB121, 2) | (~v88(constB121, 0)))))) | (~v140(constB121)) | (~(v88(constB121, 1) | v88(constB121, 2) | (~v88(constB121, 0))))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39512,plain,
% 7.88/6.07 (~v140(constB121)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39511, 39510, 39508])).
% 7.88/6.07 tff(39513,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB121) | v139(constB121) | (~v170(constB121)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB121) | v139(constB121) | (~v170(constB121)))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39514,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB121) | v139(constB121) | (~v170(constB121)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39515,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB121) | v139(constB121) | (~v170(constB121))),
% 7.88/6.07 inference(modus_ponens,[status(thm)],[39514, 39513])).
% 7.88/6.07 tff(39516,plain,
% 7.88/6.07 (v140(constB121) | v139(constB121) | (~v170(constB121))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39515, 15833])).
% 7.88/6.07 tff(39517,plain,
% 7.88/6.07 (~v170(constB121)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39516, 39512, 39506])).
% 7.88/6.07 tff(39518,plain,
% 7.88/6.07 ((~(v163(constB121) <=> v170(constB121))) | (~v163(constB121)) | v170(constB121)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39519,plain,
% 7.88/6.07 ((~(v163(constB121) <=> v170(constB121))) | (~v163(constB121))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39518, 39517])).
% 7.88/6.07 tff(39520,plain,
% 7.88/6.07 (~v163(constB121)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39519, 39500])).
% 7.88/6.07 tff(39521,plain,
% 7.88/6.07 ((~(v161(constB121) <=> v163(constB121))) | (~v161(constB121)) | v163(constB121)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39522,plain,
% 7.88/6.07 ((~(v161(constB121) <=> v163(constB121))) | (~v161(constB121))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39521, 39520])).
% 7.88/6.07 tff(39523,plain,
% 7.88/6.07 (~v161(constB121)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39522, 39451])).
% 7.88/6.07 tff(39524,plain,
% 7.88/6.07 (((~v185(constB121)) | (~v161(constB121))) | v161(constB121)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39525,plain,
% 7.88/6.07 ((~v185(constB121)) | (~v161(constB121))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39524, 39523])).
% 7.88/6.07 tff(39526,plain,
% 7.88/6.07 ((~(v184(constB121) <=> (~((~v185(constB121)) | (~v161(constB121)))))) | (~v184(constB121)) | (~((~v185(constB121)) | (~v161(constB121))))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39527,plain,
% 7.88/6.07 (~v184(constB121)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39526, 39525, 39449])).
% 7.88/6.07 tff(39528,plain,
% 7.88/6.07 (((~v183(constB121)) | (~v184(constB121))) | v184(constB121)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39529,plain,
% 7.88/6.07 ((~v183(constB121)) | (~v184(constB121))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39528, 39527])).
% 7.88/6.07 tff(39530,plain,
% 7.88/6.07 ((~(v180(constB121) <=> (~((~v183(constB121)) | (~v184(constB121)))))) | (~v180(constB121)) | (~((~v183(constB121)) | (~v184(constB121))))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39531,plain,
% 7.88/6.07 (~v180(constB121)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39530, 39529, 39447])).
% 7.88/6.07 tff(39532,plain,
% 7.88/6.07 ((~(v182(constB122) <=> v180(constB121))) | (~v182(constB122)) | v180(constB121)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39533,plain,
% 7.88/6.07 (~v182(constB122)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39532, 39531, 39445])).
% 7.88/6.07 tff(39534,plain,
% 7.88/6.07 ((~(v159(constB122) <=> v182(constB122))) | (~v159(constB122)) | v182(constB122)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39535,plain,
% 7.88/6.07 (~v159(constB122)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39534, 39533, 39441])).
% 7.88/6.07 tff(39536,plain,
% 7.88/6.07 (((~v159(constB122)) | (~v194(constB122))) | v159(constB122)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39537,plain,
% 7.88/6.07 ((~v159(constB122)) | (~v194(constB122))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39536, 39535])).
% 7.88/6.07 tff(39538,plain,
% 7.88/6.07 ((~(v196(constB122) <=> (~((~v159(constB122)) | (~v194(constB122)))))) | (~v196(constB122)) | (~((~v159(constB122)) | (~v194(constB122))))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39539,plain,
% 7.88/6.07 (~v196(constB122)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39538, 39537, 39439])).
% 7.88/6.07 tff(39540,plain,
% 7.88/6.07 ((~(v193(constB122) | v196(constB122))) | v193(constB122) | v196(constB122)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39541,plain,
% 7.88/6.07 (~(v193(constB122) | v196(constB122))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39540, 39539, 39432])).
% 7.88/6.07 tff(39542,plain,
% 7.88/6.07 ((~(v190(constB122) <=> (v193(constB122) | v196(constB122)))) | (~v190(constB122)) | (v193(constB122) | v196(constB122))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39543,plain,
% 7.88/6.07 (~v190(constB122)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39542, 39541, 39286])).
% 7.88/6.07 tff(39544,plain,
% 7.88/6.07 ((~(v192(constB123) <=> v190(constB122))) | (~v192(constB123)) | v190(constB122)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39545,plain,
% 7.88/6.07 (~v192(constB123)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39544, 39543, 39284])).
% 7.88/6.07 tff(39546,plain,
% 7.88/6.07 ((~(v157(constB123) <=> v192(constB123))) | (~v157(constB123)) | v192(constB123)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39547,plain,
% 7.88/6.07 (~v157(constB123)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39546, 39545, 39280])).
% 7.88/6.07 tff(39548,plain,
% 7.88/6.07 (((~v157(constB123)) | (~v202(constB123))) | v157(constB123)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39549,plain,
% 7.88/6.07 ((~v157(constB123)) | (~v202(constB123))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39548, 39547])).
% 7.88/6.07 tff(39550,plain,
% 7.88/6.07 ((~(v201(constB123) <=> (~((~v157(constB123)) | (~v202(constB123)))))) | (~v201(constB123)) | (~((~v157(constB123)) | (~v202(constB123))))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39551,plain,
% 7.88/6.07 (~v201(constB123)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39550, 39549, 39278])).
% 7.88/6.07 tff(39552,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB123) <=> (~((~v159(constB123)) | (~v202(constB123)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB123) <=> (~((~v159(constB123)) | (~v202(constB123))))))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39553,plain,
% 7.88/6.07 ((v205(constB123) <=> (~((~v202(constB123)) | (~v159(constB123))))) <=> (v205(constB123) <=> (~((~v159(constB123)) | (~v202(constB123)))))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39554,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB123) <=> (~((~v202(constB123)) | (~v159(constB123)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB123) <=> (~((~v159(constB123)) | (~v202(constB123))))))),
% 7.88/6.07 inference(monotonicity,[status(thm)],[39553])).
% 7.88/6.07 tff(39555,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB123) <=> (~((~v202(constB123)) | (~v159(constB123)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB123) <=> (~((~v159(constB123)) | (~v202(constB123))))))),
% 7.88/6.07 inference(transitivity,[status(thm)],[39554, 39552])).
% 7.88/6.07 tff(39556,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB123) <=> (~((~v202(constB123)) | (~v159(constB123)))))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39557,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB123) <=> (~((~v159(constB123)) | (~v202(constB123)))))),
% 7.88/6.07 inference(modus_ponens,[status(thm)],[39556, 39555])).
% 7.88/6.07 tff(39558,plain,
% 7.88/6.07 (v205(constB123) <=> (~((~v159(constB123)) | (~v202(constB123))))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39557, 138])).
% 7.88/6.07 tff(39559,plain,
% 7.88/6.07 (((~v159(constB123)) | (~v202(constB123))) | v159(constB123)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39560,plain,
% 7.88/6.07 ((~v159(constB123)) | (~v202(constB123))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39559, 38013])).
% 7.88/6.07 tff(39561,plain,
% 7.88/6.07 ((~(v205(constB123) <=> (~((~v159(constB123)) | (~v202(constB123)))))) | (~v205(constB123)) | (~((~v159(constB123)) | (~v202(constB123))))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39562,plain,
% 7.88/6.07 (~v205(constB123)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39561, 39560, 39558])).
% 7.88/6.07 tff(39563,plain,
% 7.88/6.07 ((~(v201(constB123) | v205(constB123))) | v201(constB123) | v205(constB123)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39564,plain,
% 7.88/6.07 ((~(v201(constB123) | v205(constB123))) | v201(constB123)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39563, 39562])).
% 7.88/6.07 tff(39565,plain,
% 7.88/6.07 (~(v201(constB123) | v205(constB123))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39564, 39551])).
% 7.88/6.07 tff(39566,plain,
% 7.88/6.07 ((~(v200(constB123) <=> (v201(constB123) | v205(constB123)))) | (~v200(constB123)) | (v201(constB123) | v205(constB123))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39567,plain,
% 7.88/6.07 (~v200(constB123)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39566, 39565, 39271])).
% 7.88/6.07 tff(39568,plain,
% 7.88/6.07 ($false),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39567, 39269])).
% 7.88/6.07 tff(39569,plain,(~(constB123 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.88/6.07 tff(39570,assumption,(constB183 = VarCurr!0), introduced(assumption)).
% 7.88/6.07 tff(39571,plain,
% 7.88/6.07 (v200(constB183) <=> v200(VarCurr!0)),
% 7.88/6.07 inference(monotonicity,[status(thm)],[39570])).
% 7.88/6.07 tff(39572,plain,
% 7.88/6.07 (v200(VarCurr!0) <=> v200(constB183)),
% 7.88/6.07 inference(symmetry,[status(thm)],[39571])).
% 7.88/6.07 tff(39573,plain,
% 7.88/6.07 (v200(constB183)),
% 7.88/6.07 inference(modus_ponens,[status(thm)],[27, 39572])).
% 7.88/6.07 tff(39574,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v200(VarCurr) <=> (v201(VarCurr) | v205(VarCurr)))) | (v200(constB183) <=> (v201(constB183) | v205(constB183)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39575,plain,
% 7.88/6.07 (v200(constB183) <=> (v201(constB183) | v205(constB183))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39574, 35])).
% 7.88/6.07 tff(39576,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB183) <=> (~((~v157(constB183)) | (~v202(constB183)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB183) <=> (~((~v157(constB183)) | (~v202(constB183))))))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39577,plain,
% 7.88/6.07 ((v201(constB183) <=> (~((~v202(constB183)) | (~v157(constB183))))) <=> (v201(constB183) <=> (~((~v157(constB183)) | (~v202(constB183)))))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39578,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB183) <=> (~((~v202(constB183)) | (~v157(constB183)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB183) <=> (~((~v157(constB183)) | (~v202(constB183))))))),
% 7.88/6.07 inference(monotonicity,[status(thm)],[39577])).
% 7.88/6.07 tff(39579,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB183) <=> (~((~v202(constB183)) | (~v157(constB183)))))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB183) <=> (~((~v157(constB183)) | (~v202(constB183))))))),
% 7.88/6.07 inference(transitivity,[status(thm)],[39578, 39576])).
% 7.88/6.07 tff(39580,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB183) <=> (~((~v202(constB183)) | (~v157(constB183)))))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39581,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v202(VarCurr)) | (~v157(VarCurr)))))) | (v201(constB183) <=> (~((~v157(constB183)) | (~v202(constB183)))))),
% 7.88/6.07 inference(modus_ponens,[status(thm)],[39580, 39579])).
% 7.88/6.07 tff(39582,plain,
% 7.88/6.07 (v201(constB183) <=> (~((~v157(constB183)) | (~v202(constB183))))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39581, 47])).
% 7.88/6.07 tff(39583,plain,
% 7.88/6.07 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB183) <=> v192(constB183))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39584,plain,
% 7.88/6.07 (v157(constB183) <=> v192(constB183)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39583, 15407])).
% 7.88/6.07 tff(39585,plain,
% 7.88/6.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB182, constB183)) | (v192(constB183) <=> v190(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB182, constB183)) | (v192(constB183) <=> v190(constB182)))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39586,plain,
% 7.88/6.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB182, constB183)) | (v192(constB183) <=> v190(constB182)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39587,plain,
% 7.88/6.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB182, constB183)) | (v192(constB183) <=> v190(constB182))),
% 7.88/6.07 inference(modus_ponens,[status(thm)],[39586, 39585])).
% 7.88/6.07 tff(39588,plain,
% 7.88/6.07 (v192(constB183) <=> v190(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39587, 16856, 15419])).
% 7.88/6.07 tff(39589,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB182) <=> (v193(constB182) | v196(constB182)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39590,plain,
% 7.88/6.07 (v190(constB182) <=> (v193(constB182) | v196(constB182))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39589, 15430])).
% 7.88/6.07 tff(39591,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB182) <=> (~((~v157(constB182)) | (~v194(constB182)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB182) <=> (~((~v157(constB182)) | (~v194(constB182))))))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39592,plain,
% 7.88/6.07 ((v193(constB182) <=> (~((~v194(constB182)) | (~v157(constB182))))) <=> (v193(constB182) <=> (~((~v157(constB182)) | (~v194(constB182)))))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39593,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB182) <=> (~((~v194(constB182)) | (~v157(constB182)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB182) <=> (~((~v157(constB182)) | (~v194(constB182))))))),
% 7.88/6.07 inference(monotonicity,[status(thm)],[39592])).
% 7.88/6.07 tff(39594,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB182) <=> (~((~v194(constB182)) | (~v157(constB182)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB182) <=> (~((~v157(constB182)) | (~v194(constB182))))))),
% 7.88/6.07 inference(transitivity,[status(thm)],[39593, 39591])).
% 7.88/6.07 tff(39595,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB182) <=> (~((~v194(constB182)) | (~v157(constB182)))))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39596,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB182) <=> (~((~v157(constB182)) | (~v194(constB182)))))),
% 7.88/6.07 inference(modus_ponens,[status(thm)],[39595, 39594])).
% 7.88/6.07 tff(39597,plain,
% 7.88/6.07 (v193(constB182) <=> (~((~v157(constB182)) | (~v194(constB182))))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39596, 15442])).
% 7.88/6.07 tff(39598,plain,
% 7.88/6.07 ((~![VarNext: state_type] : (v157(VarNext) <=> v192(VarNext))) | (v157(constB182) <=> v192(constB182))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39599,plain,
% 7.88/6.07 (v157(constB182) <=> v192(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39598, 15407])).
% 7.88/6.07 tff(39600,plain,
% 7.88/6.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB181, constB182)) | (v192(constB182) <=> v190(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB181, constB182)) | (v192(constB182) <=> v190(constB181)))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39601,plain,
% 7.88/6.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | ((~nextState(constB181, constB182)) | (v192(constB182) <=> v190(constB181)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39602,plain,
% 7.88/6.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v192(VarNext) <=> v190(VarCurr)))) | (~nextState(constB181, constB182)) | (v192(constB182) <=> v190(constB181))),
% 7.88/6.07 inference(modus_ponens,[status(thm)],[39601, 39600])).
% 7.88/6.07 tff(39603,plain,
% 7.88/6.07 (v192(constB182) <=> v190(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39602, 16892, 15419])).
% 7.88/6.07 tff(39604,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v190(VarCurr) <=> (v193(VarCurr) | v196(VarCurr)))) | (v190(constB181) <=> (v193(constB181) | v196(constB181)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39605,plain,
% 7.88/6.07 (v190(constB181) <=> (v193(constB181) | v196(constB181))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39604, 15430])).
% 7.88/6.07 tff(39606,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB181) <=> (~((~v159(constB181)) | (~v194(constB181)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB181) <=> (~((~v159(constB181)) | (~v194(constB181))))))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39607,plain,
% 7.88/6.07 ((v196(constB181) <=> (~((~v194(constB181)) | (~v159(constB181))))) <=> (v196(constB181) <=> (~((~v159(constB181)) | (~v194(constB181)))))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39608,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB181) <=> (~((~v194(constB181)) | (~v159(constB181)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB181) <=> (~((~v159(constB181)) | (~v194(constB181))))))),
% 7.88/6.07 inference(monotonicity,[status(thm)],[39607])).
% 7.88/6.07 tff(39609,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB181) <=> (~((~v194(constB181)) | (~v159(constB181)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB181) <=> (~((~v159(constB181)) | (~v194(constB181))))))),
% 7.88/6.07 inference(transitivity,[status(thm)],[39608, 39606])).
% 7.88/6.07 tff(39610,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB181) <=> (~((~v194(constB181)) | (~v159(constB181)))))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39611,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB181) <=> (~((~v159(constB181)) | (~v194(constB181)))))),
% 7.88/6.07 inference(modus_ponens,[status(thm)],[39610, 39609])).
% 7.88/6.07 tff(39612,plain,
% 7.88/6.07 (v196(constB181) <=> (~((~v159(constB181)) | (~v194(constB181))))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39611, 15467])).
% 7.88/6.07 tff(39613,plain,
% 7.88/6.07 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB181) <=> v182(constB181))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39614,plain,
% 7.88/6.07 (v159(constB181) <=> v182(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39613, 15113])).
% 7.88/6.07 tff(39615,plain,
% 7.88/6.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB180, constB181)) | (v182(constB181) <=> v180(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB180, constB181)) | (v182(constB181) <=> v180(constB180)))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39616,plain,
% 7.88/6.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB180, constB181)) | (v182(constB181) <=> v180(constB180)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39617,plain,
% 7.88/6.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB180, constB181)) | (v182(constB181) <=> v180(constB180))),
% 7.88/6.07 inference(modus_ponens,[status(thm)],[39616, 39615])).
% 7.88/6.07 tff(39618,plain,
% 7.88/6.07 (v182(constB181) <=> v180(constB180)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39617, 16922, 15125])).
% 7.88/6.07 tff(39619,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB180) <=> (~((~v183(constB180)) | (~v184(constB180)))))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39620,plain,
% 7.88/6.07 (v180(constB180) <=> (~((~v183(constB180)) | (~v184(constB180))))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39619, 15139])).
% 7.88/6.07 tff(39621,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB180) <=> (~((~v185(constB180)) | (~v161(constB180)))))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39622,plain,
% 7.88/6.07 (v184(constB180) <=> (~((~v185(constB180)) | (~v161(constB180))))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39621, 15151])).
% 7.88/6.07 tff(39623,plain,
% 7.88/6.07 (((~v185(constB180)) | (~v161(constB180))) | v185(constB180)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39624,plain,
% 7.88/6.07 ((~v185(constB180)) | (~v161(constB180))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39623, 38826])).
% 7.88/6.07 tff(39625,plain,
% 7.88/6.07 ((~(v184(constB180) <=> (~((~v185(constB180)) | (~v161(constB180)))))) | (~v184(constB180)) | (~((~v185(constB180)) | (~v161(constB180))))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39626,plain,
% 7.88/6.07 ((~(v184(constB180) <=> (~((~v185(constB180)) | (~v161(constB180)))))) | (~v184(constB180))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39625, 39624])).
% 7.88/6.07 tff(39627,plain,
% 7.88/6.07 (~v184(constB180)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39626, 39622])).
% 7.88/6.07 tff(39628,plain,
% 7.88/6.07 (((~v183(constB180)) | (~v184(constB180))) | v184(constB180)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39629,plain,
% 7.88/6.07 ((~v183(constB180)) | (~v184(constB180))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39628, 39627])).
% 7.88/6.07 tff(39630,plain,
% 7.88/6.07 ((~(v180(constB180) <=> (~((~v183(constB180)) | (~v184(constB180)))))) | (~v180(constB180)) | (~((~v183(constB180)) | (~v184(constB180))))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39631,plain,
% 7.88/6.07 (~v180(constB180)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39630, 39629, 39620])).
% 7.88/6.07 tff(39632,plain,
% 7.88/6.07 ((~(v182(constB181) <=> v180(constB180))) | (~v182(constB181)) | v180(constB180)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39633,plain,
% 7.88/6.07 (~v182(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39632, 39631, 39618])).
% 7.88/6.07 tff(39634,plain,
% 7.88/6.07 ((~(v159(constB181) <=> v182(constB181))) | (~v159(constB181)) | v182(constB181)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39635,plain,
% 7.88/6.07 (~v159(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39634, 39633, 39614])).
% 7.88/6.07 tff(39636,plain,
% 7.88/6.07 (((~v159(constB181)) | (~v194(constB181))) | v159(constB181)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39637,plain,
% 7.88/6.07 ((~v159(constB181)) | (~v194(constB181))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39636, 39635])).
% 7.88/6.07 tff(39638,plain,
% 7.88/6.07 ((~(v196(constB181) <=> (~((~v159(constB181)) | (~v194(constB181)))))) | (~v196(constB181)) | (~((~v159(constB181)) | (~v194(constB181))))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39639,plain,
% 7.88/6.07 (~v196(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39638, 39637, 39612])).
% 7.88/6.07 tff(39640,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB181) <=> (~((~v157(constB181)) | (~v194(constB181)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB181) <=> (~((~v157(constB181)) | (~v194(constB181))))))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39641,plain,
% 7.88/6.07 ((v193(constB181) <=> (~((~v194(constB181)) | (~v157(constB181))))) <=> (v193(constB181) <=> (~((~v157(constB181)) | (~v194(constB181)))))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39642,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB181) <=> (~((~v194(constB181)) | (~v157(constB181)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB181) <=> (~((~v157(constB181)) | (~v194(constB181))))))),
% 7.88/6.07 inference(monotonicity,[status(thm)],[39641])).
% 7.88/6.07 tff(39643,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB181) <=> (~((~v194(constB181)) | (~v157(constB181)))))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB181) <=> (~((~v157(constB181)) | (~v194(constB181))))))),
% 7.88/6.07 inference(transitivity,[status(thm)],[39642, 39640])).
% 7.88/6.07 tff(39644,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB181) <=> (~((~v194(constB181)) | (~v157(constB181)))))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39645,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v157(VarCurr)))))) | (v193(constB181) <=> (~((~v157(constB181)) | (~v194(constB181)))))),
% 7.88/6.07 inference(modus_ponens,[status(thm)],[39644, 39643])).
% 7.88/6.07 tff(39646,plain,
% 7.88/6.07 (v193(constB181) <=> (~((~v157(constB181)) | (~v194(constB181))))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39645, 15442])).
% 7.88/6.07 tff(39647,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : ((~v194(VarCurr)) <=> v195(VarCurr))) | ((~v194(constB181)) <=> v195(constB181))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39648,plain,
% 7.88/6.07 ((~v194(constB181)) <=> v195(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39647, 15527])).
% 7.88/6.07 tff(39649,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v195(VarCurr) <=> (v185(VarCurr) | v26(VarCurr)))) | (v195(constB181) <=> (v185(constB181) | v26(constB181)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39650,plain,
% 7.88/6.07 (v195(constB181) <=> (v185(constB181) | v26(constB181))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39649, 15536])).
% 7.88/6.07 tff(39651,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB181) <=> (~((~v39(constB181)) | (~v9(constB181)))))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39652,plain,
% 7.88/6.07 (v185(constB181) <=> (~((~v39(constB181)) | (~v9(constB181))))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39651, 93])).
% 7.88/6.07 tff(39653,plain,
% 7.88/6.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181)))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39654,plain,
% 7.88/6.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39655,plain,
% 7.88/6.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181))),
% 7.88/6.07 inference(modus_ponens,[status(thm)],[39654, 39653])).
% 7.88/6.07 tff(39656,plain,
% 7.88/6.07 (v13(constB182) <=> v9(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39655, 16892, 15550])).
% 7.88/6.07 tff(39657,plain,
% 7.88/6.07 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB182) <=> v13(constB182))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39658,plain,
% 7.88/6.07 (v6(constB182) <=> v13(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39657, 15564])).
% 7.88/6.07 tff(39659,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB182)) <=> v6(constB182))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39660,plain,
% 7.88/6.07 ((~v21(constB182)) <=> v6(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39659, 15573])).
% 7.88/6.07 tff(39661,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB182) <=> (v20(constB182) | v21(constB182)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39662,plain,
% 7.88/6.07 (v19(constB182) <=> (v20(constB182) | v21(constB182))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39661, 15582])).
% 7.88/6.07 tff(39663,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182)))))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39664,plain,
% 7.88/6.07 (v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182))))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39663, 15594])).
% 7.88/6.07 tff(39665,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB182)) <=> v18(constB182))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39666,plain,
% 7.88/6.07 ((~v4(constB182)) <=> v18(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39665, 15603])).
% 7.88/6.07 tff(39667,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB182)),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39668,plain,
% 7.88/6.07 (v4(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39667, 15612])).
% 7.88/6.07 tff(39669,plain,
% 7.88/6.07 ((~((~v4(constB182)) <=> v18(constB182))) | (~v4(constB182)) | (~v18(constB182))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39670,plain,
% 7.88/6.07 (~v18(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39669, 39668, 39666])).
% 7.88/6.07 tff(39671,plain,
% 7.88/6.07 ((~(v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182)))))) | v18(constB182) | ((~v19(constB182)) | (~v22(constB182)))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39672,plain,
% 7.88/6.07 ((~v19(constB182)) | (~v22(constB182))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39671, 39670, 39664])).
% 7.88/6.07 tff(39673,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB182) <=> (v1(constB182) | v6(constB182)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39674,plain,
% 7.88/6.07 (v22(constB182) <=> (v1(constB182) | v6(constB182))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39673, 15625])).
% 7.88/6.07 tff(39675,plain,
% 7.88/6.07 ((v1(constB182) | v6(constB182)) | (~v1(constB182))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39676,plain,
% 7.88/6.07 (v1(constB182) | v6(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39675, 22778])).
% 7.88/6.07 tff(39677,plain,
% 7.88/6.07 ((~(v22(constB182) <=> (v1(constB182) | v6(constB182)))) | v22(constB182) | (~(v1(constB182) | v6(constB182)))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39678,plain,
% 7.88/6.07 ((~(v22(constB182) <=> (v1(constB182) | v6(constB182)))) | v22(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39677, 39676])).
% 7.88/6.07 tff(39679,plain,
% 7.88/6.07 (v22(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39678, 39674])).
% 7.88/6.07 tff(39680,plain,
% 7.88/6.07 ((~((~v19(constB182)) | (~v22(constB182)))) | (~v19(constB182)) | (~v22(constB182))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39681,plain,
% 7.88/6.07 ((~((~v19(constB182)) | (~v22(constB182)))) | (~v19(constB182))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39680, 39679])).
% 7.88/6.07 tff(39682,plain,
% 7.88/6.07 (~v19(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39681, 39672])).
% 7.88/6.07 tff(39683,plain,
% 7.88/6.07 ((~(v19(constB182) <=> (v20(constB182) | v21(constB182)))) | v19(constB182) | (~(v20(constB182) | v21(constB182)))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39684,plain,
% 7.88/6.07 (~(v20(constB182) | v21(constB182))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39683, 39682, 39662])).
% 7.88/6.07 tff(39685,plain,
% 7.88/6.07 ((v20(constB182) | v21(constB182)) | (~v21(constB182))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39686,plain,
% 7.88/6.07 (~v21(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39685, 39684])).
% 7.88/6.07 tff(39687,plain,
% 7.88/6.07 ((~((~v21(constB182)) <=> v6(constB182))) | v21(constB182) | v6(constB182)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39688,plain,
% 7.88/6.07 (v6(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39687, 39686, 39660])).
% 7.88/6.07 tff(39689,plain,
% 7.88/6.07 ((~(v6(constB182) <=> v13(constB182))) | (~v6(constB182)) | v13(constB182)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39690,plain,
% 7.88/6.07 (v13(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39689, 39688, 39658])).
% 7.88/6.07 tff(39691,plain,
% 7.88/6.07 ((~(v13(constB182) <=> v9(constB181))) | (~v13(constB182)) | v9(constB181)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39692,plain,
% 7.88/6.07 (v9(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39691, 39690, 39656])).
% 7.88/6.07 tff(39693,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB181)) <=> v1(constB181))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39694,plain,
% 7.88/6.07 ((~v39(constB181)) <=> v1(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39693, 102])).
% 7.88/6.07 tff(39695,plain,
% 7.88/6.07 ((~((~v39(constB181)) <=> v1(constB181))) | v39(constB181) | v1(constB181)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39696,plain,
% 7.88/6.07 ((~((~v39(constB181)) <=> v1(constB181))) | v39(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39695, 16936])).
% 7.88/6.07 tff(39697,plain,
% 7.88/6.07 (v39(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39696, 39694])).
% 7.88/6.07 tff(39698,plain,
% 7.88/6.07 ((~((~v39(constB181)) | (~v9(constB181)))) | (~v39(constB181)) | (~v9(constB181))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39699,plain,
% 7.88/6.07 ((~((~v39(constB181)) | (~v9(constB181)))) | (~v9(constB181))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39698, 39697])).
% 7.88/6.07 tff(39700,plain,
% 7.88/6.07 (~((~v39(constB181)) | (~v9(constB181)))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39699, 39692])).
% 7.88/6.07 tff(39701,plain,
% 7.88/6.07 ((~(v185(constB181) <=> (~((~v39(constB181)) | (~v9(constB181)))))) | v185(constB181) | ((~v39(constB181)) | (~v9(constB181)))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39702,plain,
% 7.88/6.07 (v185(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39701, 39700, 39652])).
% 7.88/6.07 tff(39703,plain,
% 7.88/6.07 ((v185(constB181) | v26(constB181)) | (~v185(constB181))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39704,plain,
% 7.88/6.07 (v185(constB181) | v26(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39703, 39702])).
% 7.88/6.07 tff(39705,plain,
% 7.88/6.07 ((~(v195(constB181) <=> (v185(constB181) | v26(constB181)))) | v195(constB181) | (~(v185(constB181) | v26(constB181)))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39706,plain,
% 7.88/6.07 (v195(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39705, 39704, 39650])).
% 7.88/6.07 tff(39707,plain,
% 7.88/6.07 ((~((~v194(constB181)) <=> v195(constB181))) | (~v194(constB181)) | (~v195(constB181))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39708,plain,
% 7.88/6.07 (~v194(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39707, 39706, 39648])).
% 7.88/6.07 tff(39709,plain,
% 7.88/6.07 (((~v157(constB181)) | (~v194(constB181))) | v194(constB181)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39710,plain,
% 7.88/6.07 ((~v157(constB181)) | (~v194(constB181))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39709, 39708])).
% 7.88/6.07 tff(39711,plain,
% 7.88/6.07 ((~(v193(constB181) <=> (~((~v157(constB181)) | (~v194(constB181)))))) | (~v193(constB181)) | (~((~v157(constB181)) | (~v194(constB181))))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39712,plain,
% 7.88/6.07 (~v193(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39711, 39710, 39646])).
% 7.88/6.07 tff(39713,plain,
% 7.88/6.07 ((~(v193(constB181) | v196(constB181))) | v193(constB181) | v196(constB181)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39714,plain,
% 7.88/6.07 (~(v193(constB181) | v196(constB181))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39713, 39712, 39639])).
% 7.88/6.07 tff(39715,plain,
% 7.88/6.07 ((~(v190(constB181) <=> (v193(constB181) | v196(constB181)))) | (~v190(constB181)) | (v193(constB181) | v196(constB181))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39716,plain,
% 7.88/6.07 (~v190(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39715, 39714, 39605])).
% 7.88/6.07 tff(39717,plain,
% 7.88/6.07 ((~(v192(constB182) <=> v190(constB181))) | (~v192(constB182)) | v190(constB181)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39718,plain,
% 7.88/6.07 (~v192(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39717, 39716, 39603])).
% 7.88/6.07 tff(39719,plain,
% 7.88/6.07 ((~(v157(constB182) <=> v192(constB182))) | (~v157(constB182)) | v192(constB182)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39720,plain,
% 7.88/6.07 (~v157(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39719, 39718, 39599])).
% 7.88/6.07 tff(39721,plain,
% 7.88/6.07 (((~v157(constB182)) | (~v194(constB182))) | v157(constB182)),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39722,plain,
% 7.88/6.07 ((~v157(constB182)) | (~v194(constB182))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39721, 39720])).
% 7.88/6.07 tff(39723,plain,
% 7.88/6.07 ((~(v193(constB182) <=> (~((~v157(constB182)) | (~v194(constB182)))))) | (~v193(constB182)) | (~((~v157(constB182)) | (~v194(constB182))))),
% 7.88/6.07 inference(tautology,[status(thm)],[])).
% 7.88/6.07 tff(39724,plain,
% 7.88/6.07 (~v193(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39723, 39722, 39597])).
% 7.88/6.07 tff(39725,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB182) <=> (~((~v159(constB182)) | (~v194(constB182)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB182) <=> (~((~v159(constB182)) | (~v194(constB182))))))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39726,plain,
% 7.88/6.07 ((v196(constB182) <=> (~((~v194(constB182)) | (~v159(constB182))))) <=> (v196(constB182) <=> (~((~v159(constB182)) | (~v194(constB182)))))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39727,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB182) <=> (~((~v194(constB182)) | (~v159(constB182)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB182) <=> (~((~v159(constB182)) | (~v194(constB182))))))),
% 7.88/6.07 inference(monotonicity,[status(thm)],[39726])).
% 7.88/6.07 tff(39728,plain,
% 7.88/6.07 (((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB182) <=> (~((~v194(constB182)) | (~v159(constB182)))))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB182) <=> (~((~v159(constB182)) | (~v194(constB182))))))),
% 7.88/6.07 inference(transitivity,[status(thm)],[39727, 39725])).
% 7.88/6.07 tff(39729,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB182) <=> (~((~v194(constB182)) | (~v159(constB182)))))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39730,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v196(VarCurr) <=> (~((~v194(VarCurr)) | (~v159(VarCurr)))))) | (v196(constB182) <=> (~((~v159(constB182)) | (~v194(constB182)))))),
% 7.88/6.07 inference(modus_ponens,[status(thm)],[39729, 39728])).
% 7.88/6.07 tff(39731,plain,
% 7.88/6.07 (v196(constB182) <=> (~((~v159(constB182)) | (~v194(constB182))))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39730, 15467])).
% 7.88/6.07 tff(39732,plain,
% 7.88/6.07 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB182) <=> v182(constB182))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39733,plain,
% 7.88/6.07 (v159(constB182) <=> v182(constB182)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39732, 15113])).
% 7.88/6.07 tff(39734,plain,
% 7.88/6.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB181, constB182)) | (v182(constB182) <=> v180(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB181, constB182)) | (v182(constB182) <=> v180(constB181)))),
% 7.88/6.07 inference(rewrite,[status(thm)],[])).
% 7.88/6.07 tff(39735,plain,
% 7.88/6.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB181, constB182)) | (v182(constB182) <=> v180(constB181)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39736,plain,
% 7.88/6.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB181, constB182)) | (v182(constB182) <=> v180(constB181))),
% 7.88/6.07 inference(modus_ponens,[status(thm)],[39735, 39734])).
% 7.88/6.07 tff(39737,plain,
% 7.88/6.07 (v182(constB182) <=> v180(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39736, 16892, 15125])).
% 7.88/6.07 tff(39738,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB181) <=> (~((~v183(constB181)) | (~v184(constB181)))))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39739,plain,
% 7.88/6.07 (v180(constB181) <=> (~((~v183(constB181)) | (~v184(constB181))))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39738, 15139])).
% 7.88/6.07 tff(39740,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB181) <=> (~((~v185(constB181)) | (~v161(constB181)))))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39741,plain,
% 7.88/6.07 (v184(constB181) <=> (~((~v185(constB181)) | (~v161(constB181))))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39740, 15151])).
% 7.88/6.07 tff(39742,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB181) <=> v163(constB181))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39743,plain,
% 7.88/6.07 (v161(constB181) <=> v163(constB181)),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39742, 15701])).
% 7.88/6.07 tff(39744,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB181) <=> (v145(constB181) | v167(constB181)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39745,plain,
% 7.88/6.07 (v166(constB181) <=> (v145(constB181) | v167(constB181))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39744, 15713])).
% 7.88/6.07 tff(39746,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB181) <=> (v142(constB181) | v168(constB181)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.07 tff(39747,plain,
% 7.88/6.07 (v167(constB181) <=> (v142(constB181) | v168(constB181))),
% 7.88/6.07 inference(unit_resolution,[status(thm)],[39746, 15725])).
% 7.88/6.07 tff(39748,plain,
% 7.88/6.07 ((~![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB181) <=> (v141(constB181) | v169(constB181)))),
% 7.88/6.07 inference(quant_inst,[status(thm)],[])).
% 7.88/6.08 tff(39749,plain,
% 7.88/6.08 (v168(constB181) <=> (v141(constB181) | v169(constB181))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39748, 26253])).
% 7.88/6.08 tff(39750,plain,
% 7.88/6.08 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB181) <=> (~((~v88(constB181, 1)) | v88(constB181, 2) | (~v88(constB181, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB181) <=> (~((~v88(constB181, 1)) | v88(constB181, 2) | (~v88(constB181, 0))))))),
% 7.88/6.08 inference(rewrite,[status(thm)],[])).
% 7.88/6.08 tff(39751,plain,
% 7.88/6.08 ((v141(constB181) <=> (~(v88(constB181, 2) | (~v88(constB181, 1)) | (~v88(constB181, 0))))) <=> (v141(constB181) <=> (~((~v88(constB181, 1)) | v88(constB181, 2) | (~v88(constB181, 0)))))),
% 7.88/6.08 inference(rewrite,[status(thm)],[])).
% 7.88/6.08 tff(39752,plain,
% 7.88/6.08 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB181) <=> (~(v88(constB181, 2) | (~v88(constB181, 1)) | (~v88(constB181, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB181) <=> (~((~v88(constB181, 1)) | v88(constB181, 2) | (~v88(constB181, 0))))))),
% 7.88/6.08 inference(monotonicity,[status(thm)],[39751])).
% 7.88/6.08 tff(39753,plain,
% 7.88/6.08 (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB181) <=> (~(v88(constB181, 2) | (~v88(constB181, 1)) | (~v88(constB181, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB181) <=> (~((~v88(constB181, 1)) | v88(constB181, 2) | (~v88(constB181, 0))))))),
% 7.88/6.08 inference(transitivity,[status(thm)],[39752, 39750])).
% 7.88/6.08 tff(39754,plain,
% 7.88/6.08 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB181) <=> (~(v88(constB181, 2) | (~v88(constB181, 1)) | (~v88(constB181, 0)))))),
% 7.88/6.08 inference(quant_inst,[status(thm)],[])).
% 7.88/6.08 tff(39755,plain,
% 7.88/6.08 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB181) <=> (~((~v88(constB181, 1)) | v88(constB181, 2) | (~v88(constB181, 0)))))),
% 7.88/6.08 inference(modus_ponens,[status(thm)],[39754, 39753])).
% 7.88/6.08 tff(39756,plain,
% 7.88/6.08 (v141(constB181) <=> (~((~v88(constB181, 1)) | v88(constB181, 2) | (~v88(constB181, 0))))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39755, 26268])).
% 7.88/6.08 tff(39757,plain,
% 7.88/6.08 ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB181, 1)) <=> v90(constB181, 1)) | ((~v88(constB181, 2)) <=> v90(constB181, 2)) | ((~v88(constB181, 0)) <=> v90(constB181, 0))))),
% 7.88/6.08 inference(quant_inst,[status(thm)],[])).
% 7.88/6.08 tff(39758,plain,
% 7.88/6.08 (~(((~v88(constB181, 1)) <=> v90(constB181, 1)) | ((~v88(constB181, 2)) <=> v90(constB181, 2)) | ((~v88(constB181, 0)) <=> v90(constB181, 0)))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39757, 256])).
% 7.88/6.08 tff(39759,plain,
% 7.88/6.08 ((((~v88(constB181, 1)) <=> v90(constB181, 1)) | ((~v88(constB181, 2)) <=> v90(constB181, 2)) | ((~v88(constB181, 0)) <=> v90(constB181, 0))) | (~((~v88(constB181, 2)) <=> v90(constB181, 2)))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39760,plain,
% 7.88/6.08 (~((~v88(constB181, 2)) <=> v90(constB181, 2))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39759, 39758])).
% 7.88/6.08 tff(39761,plain,
% 7.88/6.08 (((~v88(constB181, 2)) <=> v90(constB181, 2)) | (~v88(constB181, 2)) | v90(constB181, 2)),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39762,plain,
% 7.88/6.08 (~v88(constB181, 2)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39761, 22697, 39760])).
% 7.88/6.08 tff(39763,plain,
% 7.88/6.08 ((((~v88(constB181, 1)) <=> v90(constB181, 1)) | ((~v88(constB181, 2)) <=> v90(constB181, 2)) | ((~v88(constB181, 0)) <=> v90(constB181, 0))) | (~((~v88(constB181, 0)) <=> v90(constB181, 0)))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39764,plain,
% 7.88/6.08 (~((~v88(constB181, 0)) <=> v90(constB181, 0))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39763, 39758])).
% 7.88/6.08 tff(39765,plain,
% 7.88/6.08 (((~v88(constB181, 0)) <=> v90(constB181, 0)) | v88(constB181, 0) | (~v90(constB181, 0))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39766,plain,
% 7.88/6.08 (v88(constB181, 0)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39765, 22715, 39764])).
% 7.88/6.08 tff(39767,plain,
% 7.88/6.08 ((((~v88(constB181, 1)) <=> v90(constB181, 1)) | ((~v88(constB181, 2)) <=> v90(constB181, 2)) | ((~v88(constB181, 0)) <=> v90(constB181, 0))) | (~((~v88(constB181, 1)) <=> v90(constB181, 1)))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39768,plain,
% 7.88/6.08 (~((~v88(constB181, 1)) <=> v90(constB181, 1))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39767, 39758])).
% 7.88/6.08 tff(39769,plain,
% 7.88/6.08 (((~v88(constB181, 1)) <=> v90(constB181, 1)) | v88(constB181, 1) | (~v90(constB181, 1))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39770,plain,
% 7.88/6.08 (v88(constB181, 1)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39769, 22733, 39768])).
% 7.88/6.08 tff(39771,plain,
% 7.88/6.08 ((~((~v88(constB181, 1)) | v88(constB181, 2) | (~v88(constB181, 0)))) | (~v88(constB181, 1)) | v88(constB181, 2) | (~v88(constB181, 0))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39772,plain,
% 7.88/6.08 (~((~v88(constB181, 1)) | v88(constB181, 2) | (~v88(constB181, 0)))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39771, 39770, 39766, 39762])).
% 7.88/6.08 tff(39773,plain,
% 7.88/6.08 ((~(v141(constB181) <=> (~((~v88(constB181, 1)) | v88(constB181, 2) | (~v88(constB181, 0)))))) | v141(constB181) | ((~v88(constB181, 1)) | v88(constB181, 2) | (~v88(constB181, 0)))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39774,plain,
% 7.88/6.08 (v141(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39773, 39772, 39756])).
% 7.88/6.08 tff(39775,plain,
% 7.88/6.08 ((v141(constB181) | v169(constB181)) | (~v141(constB181))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39776,plain,
% 7.88/6.08 (v141(constB181) | v169(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39775, 39774])).
% 7.88/6.08 tff(39777,plain,
% 7.88/6.08 ((~(v168(constB181) <=> (v141(constB181) | v169(constB181)))) | v168(constB181) | (~(v141(constB181) | v169(constB181)))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39778,plain,
% 7.88/6.08 (v168(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39777, 39776, 39749])).
% 7.88/6.08 tff(39779,plain,
% 7.88/6.08 ((v142(constB181) | v168(constB181)) | (~v168(constB181))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39780,plain,
% 7.88/6.08 (v142(constB181) | v168(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39779, 39778])).
% 7.88/6.08 tff(39781,plain,
% 7.88/6.08 ((~(v167(constB181) <=> (v142(constB181) | v168(constB181)))) | v167(constB181) | (~(v142(constB181) | v168(constB181)))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39782,plain,
% 7.88/6.08 ((~(v167(constB181) <=> (v142(constB181) | v168(constB181)))) | v167(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39781, 39780])).
% 7.88/6.08 tff(39783,plain,
% 7.88/6.08 (v167(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39782, 39747])).
% 7.88/6.08 tff(39784,plain,
% 7.88/6.08 ((v145(constB181) | v167(constB181)) | (~v167(constB181))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39785,plain,
% 7.88/6.08 (v145(constB181) | v167(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39784, 39783])).
% 7.88/6.08 tff(39786,plain,
% 7.88/6.08 ((~(v166(constB181) <=> (v145(constB181) | v167(constB181)))) | v166(constB181) | (~(v145(constB181) | v167(constB181)))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39787,plain,
% 7.88/6.08 (v166(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39786, 39785, 39745])).
% 7.88/6.08 tff(39788,plain,
% 7.88/6.08 (((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB181)) | (v163(constB181) <=> v170(constB181)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB181)) | (v163(constB181) <=> v170(constB181)))),
% 7.88/6.08 inference(rewrite,[status(thm)],[])).
% 7.88/6.08 tff(39789,plain,
% 7.88/6.08 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB181)) | (v163(constB181) <=> v170(constB181)))),
% 7.88/6.08 inference(quant_inst,[status(thm)],[])).
% 7.88/6.08 tff(39790,plain,
% 7.88/6.08 ((~![VarNext: state_type] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB181)) | (v163(constB181) <=> v170(constB181))),
% 7.88/6.08 inference(modus_ponens,[status(thm)],[39789, 39788])).
% 7.88/6.08 tff(39791,plain,
% 7.88/6.08 ((~v166(constB181)) | (v163(constB181) <=> v170(constB181))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39790, 15777])).
% 7.88/6.08 tff(39792,plain,
% 7.88/6.08 (v163(constB181) <=> v170(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39791, 39787])).
% 7.88/6.08 tff(39793,plain,
% 7.88/6.08 ((~![VarCurr: state_type] : (v139(VarCurr) <=> (~(v88(VarCurr, 0) | v88(VarCurr, 1) | v88(VarCurr, 2))))) | (v139(constB181) <=> (~(v88(constB181, 0) | v88(constB181, 1) | v88(constB181, 2))))),
% 7.88/6.08 inference(quant_inst,[status(thm)],[])).
% 7.88/6.08 tff(39794,plain,
% 7.88/6.08 (v139(constB181) <=> (~(v88(constB181, 0) | v88(constB181, 1) | v88(constB181, 2)))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39793, 15795])).
% 7.88/6.08 tff(39795,plain,
% 7.88/6.08 ((v88(constB181, 0) | v88(constB181, 1) | v88(constB181, 2)) | (~v88(constB181, 1))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39796,plain,
% 7.88/6.08 (v88(constB181, 0) | v88(constB181, 1) | v88(constB181, 2)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39795, 39770])).
% 7.88/6.08 tff(39797,plain,
% 7.88/6.08 ((~(v139(constB181) <=> (~(v88(constB181, 0) | v88(constB181, 1) | v88(constB181, 2))))) | (~v139(constB181)) | (~(v88(constB181, 0) | v88(constB181, 1) | v88(constB181, 2)))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39798,plain,
% 7.88/6.08 (~v139(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39797, 39796, 39794])).
% 7.88/6.08 tff(39799,plain,
% 7.88/6.08 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (~(v88(VarCurr, 1) | v88(VarCurr, 2) | (~v88(VarCurr, 0)))))) | (v140(constB181) <=> (~(v88(constB181, 1) | v88(constB181, 2) | (~v88(constB181, 0)))))),
% 7.88/6.08 inference(quant_inst,[status(thm)],[])).
% 7.88/6.08 tff(39800,plain,
% 7.88/6.08 (v140(constB181) <=> (~(v88(constB181, 1) | v88(constB181, 2) | (~v88(constB181, 0))))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39799, 15814])).
% 7.88/6.08 tff(39801,plain,
% 7.88/6.08 ((v88(constB181, 1) | v88(constB181, 2) | (~v88(constB181, 0))) | (~v88(constB181, 1))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39802,plain,
% 7.88/6.08 (v88(constB181, 1) | v88(constB181, 2) | (~v88(constB181, 0))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39801, 39770])).
% 7.88/6.08 tff(39803,plain,
% 7.88/6.08 ((~(v140(constB181) <=> (~(v88(constB181, 1) | v88(constB181, 2) | (~v88(constB181, 0)))))) | (~v140(constB181)) | (~(v88(constB181, 1) | v88(constB181, 2) | (~v88(constB181, 0))))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39804,plain,
% 7.88/6.08 (~v140(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39803, 39802, 39800])).
% 7.88/6.08 tff(39805,plain,
% 7.88/6.08 (((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v170(constB181)))) <=> ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB181) | v139(constB181) | (~v170(constB181)))),
% 7.88/6.08 inference(rewrite,[status(thm)],[])).
% 7.88/6.08 tff(39806,plain,
% 7.88/6.08 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v170(constB181)))),
% 7.88/6.08 inference(quant_inst,[status(thm)],[])).
% 7.88/6.08 tff(39807,plain,
% 7.88/6.08 ((~![VarCurr: state_type] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB181) | v139(constB181) | (~v170(constB181))),
% 7.88/6.08 inference(modus_ponens,[status(thm)],[39806, 39805])).
% 7.88/6.08 tff(39808,plain,
% 7.88/6.08 (v140(constB181) | v139(constB181) | (~v170(constB181))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39807, 15833])).
% 7.88/6.08 tff(39809,plain,
% 7.88/6.08 (~v170(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39808, 39804, 39798])).
% 7.88/6.08 tff(39810,plain,
% 7.88/6.08 ((~(v163(constB181) <=> v170(constB181))) | (~v163(constB181)) | v170(constB181)),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39811,plain,
% 7.88/6.08 ((~(v163(constB181) <=> v170(constB181))) | (~v163(constB181))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39810, 39809])).
% 7.88/6.08 tff(39812,plain,
% 7.88/6.08 (~v163(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39811, 39792])).
% 7.88/6.08 tff(39813,plain,
% 7.88/6.08 ((~(v161(constB181) <=> v163(constB181))) | (~v161(constB181)) | v163(constB181)),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39814,plain,
% 7.88/6.08 ((~(v161(constB181) <=> v163(constB181))) | (~v161(constB181))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39813, 39812])).
% 7.88/6.08 tff(39815,plain,
% 7.88/6.08 (~v161(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39814, 39743])).
% 7.88/6.08 tff(39816,plain,
% 7.88/6.08 (((~v185(constB181)) | (~v161(constB181))) | v161(constB181)),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39817,plain,
% 7.88/6.08 ((~v185(constB181)) | (~v161(constB181))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39816, 39815])).
% 7.88/6.08 tff(39818,plain,
% 7.88/6.08 ((~(v184(constB181) <=> (~((~v185(constB181)) | (~v161(constB181)))))) | (~v184(constB181)) | (~((~v185(constB181)) | (~v161(constB181))))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39819,plain,
% 7.88/6.08 (~v184(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39818, 39817, 39741])).
% 7.88/6.08 tff(39820,plain,
% 7.88/6.08 (((~v183(constB181)) | (~v184(constB181))) | v184(constB181)),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39821,plain,
% 7.88/6.08 ((~v183(constB181)) | (~v184(constB181))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39820, 39819])).
% 7.88/6.08 tff(39822,plain,
% 7.88/6.08 ((~(v180(constB181) <=> (~((~v183(constB181)) | (~v184(constB181)))))) | (~v180(constB181)) | (~((~v183(constB181)) | (~v184(constB181))))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39823,plain,
% 7.88/6.08 (~v180(constB181)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39822, 39821, 39739])).
% 7.88/6.08 tff(39824,plain,
% 7.88/6.08 ((~(v182(constB182) <=> v180(constB181))) | (~v182(constB182)) | v180(constB181)),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39825,plain,
% 7.88/6.08 (~v182(constB182)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39824, 39823, 39737])).
% 7.88/6.08 tff(39826,plain,
% 7.88/6.08 ((~(v159(constB182) <=> v182(constB182))) | (~v159(constB182)) | v182(constB182)),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39827,plain,
% 7.88/6.08 (~v159(constB182)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39826, 39825, 39733])).
% 7.88/6.08 tff(39828,plain,
% 7.88/6.08 (((~v159(constB182)) | (~v194(constB182))) | v159(constB182)),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39829,plain,
% 7.88/6.08 ((~v159(constB182)) | (~v194(constB182))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39828, 39827])).
% 7.88/6.08 tff(39830,plain,
% 7.88/6.08 ((~(v196(constB182) <=> (~((~v159(constB182)) | (~v194(constB182)))))) | (~v196(constB182)) | (~((~v159(constB182)) | (~v194(constB182))))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39831,plain,
% 7.88/6.08 (~v196(constB182)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39830, 39829, 39731])).
% 7.88/6.08 tff(39832,plain,
% 7.88/6.08 ((~(v193(constB182) | v196(constB182))) | v193(constB182) | v196(constB182)),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39833,plain,
% 7.88/6.08 (~(v193(constB182) | v196(constB182))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39832, 39831, 39724])).
% 7.88/6.08 tff(39834,plain,
% 7.88/6.08 ((~(v190(constB182) <=> (v193(constB182) | v196(constB182)))) | (~v190(constB182)) | (v193(constB182) | v196(constB182))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39835,plain,
% 7.88/6.08 (~v190(constB182)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39834, 39833, 39590])).
% 7.88/6.08 tff(39836,plain,
% 7.88/6.08 ((~(v192(constB183) <=> v190(constB182))) | (~v192(constB183)) | v190(constB182)),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39837,plain,
% 7.88/6.08 (~v192(constB183)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39836, 39835, 39588])).
% 7.88/6.08 tff(39838,plain,
% 7.88/6.08 ((~(v157(constB183) <=> v192(constB183))) | (~v157(constB183)) | v192(constB183)),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39839,plain,
% 7.88/6.08 (~v157(constB183)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39838, 39837, 39584])).
% 7.88/6.08 tff(39840,plain,
% 7.88/6.08 (((~v157(constB183)) | (~v202(constB183))) | v157(constB183)),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39841,plain,
% 7.88/6.08 ((~v157(constB183)) | (~v202(constB183))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39840, 39839])).
% 7.88/6.08 tff(39842,plain,
% 7.88/6.08 ((~(v201(constB183) <=> (~((~v157(constB183)) | (~v202(constB183)))))) | (~v201(constB183)) | (~((~v157(constB183)) | (~v202(constB183))))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39843,plain,
% 7.88/6.08 (~v201(constB183)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39842, 39841, 39582])).
% 7.88/6.08 tff(39844,plain,
% 7.88/6.08 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB183) <=> (~((~v159(constB183)) | (~v202(constB183)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB183) <=> (~((~v159(constB183)) | (~v202(constB183))))))),
% 7.88/6.08 inference(rewrite,[status(thm)],[])).
% 7.88/6.08 tff(39845,plain,
% 7.88/6.08 ((v205(constB183) <=> (~((~v202(constB183)) | (~v159(constB183))))) <=> (v205(constB183) <=> (~((~v159(constB183)) | (~v202(constB183)))))),
% 7.88/6.08 inference(rewrite,[status(thm)],[])).
% 7.88/6.08 tff(39846,plain,
% 7.88/6.08 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB183) <=> (~((~v202(constB183)) | (~v159(constB183)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB183) <=> (~((~v159(constB183)) | (~v202(constB183))))))),
% 7.88/6.08 inference(monotonicity,[status(thm)],[39845])).
% 7.88/6.08 tff(39847,plain,
% 7.88/6.08 (((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB183) <=> (~((~v202(constB183)) | (~v159(constB183)))))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB183) <=> (~((~v159(constB183)) | (~v202(constB183))))))),
% 7.88/6.08 inference(transitivity,[status(thm)],[39846, 39844])).
% 7.88/6.08 tff(39848,plain,
% 7.88/6.08 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB183) <=> (~((~v202(constB183)) | (~v159(constB183)))))),
% 7.88/6.08 inference(quant_inst,[status(thm)],[])).
% 7.88/6.08 tff(39849,plain,
% 7.88/6.08 ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v202(VarCurr)) | (~v159(VarCurr)))))) | (v205(constB183) <=> (~((~v159(constB183)) | (~v202(constB183)))))),
% 7.88/6.08 inference(modus_ponens,[status(thm)],[39848, 39847])).
% 7.88/6.08 tff(39850,plain,
% 7.88/6.08 (v205(constB183) <=> (~((~v159(constB183)) | (~v202(constB183))))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39849, 138])).
% 7.88/6.08 tff(39851,plain,
% 7.88/6.08 ((~![VarNext: state_type] : (v159(VarNext) <=> v182(VarNext))) | (v159(constB183) <=> v182(constB183))),
% 7.88/6.08 inference(quant_inst,[status(thm)],[])).
% 7.88/6.08 tff(39852,plain,
% 7.88/6.08 (v159(constB183) <=> v182(constB183)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39851, 15113])).
% 7.88/6.08 tff(39853,plain,
% 7.88/6.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB182, constB183)) | (v182(constB183) <=> v180(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB182, constB183)) | (v182(constB183) <=> v180(constB182)))),
% 7.88/6.08 inference(rewrite,[status(thm)],[])).
% 7.88/6.08 tff(39854,plain,
% 7.88/6.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | ((~nextState(constB182, constB183)) | (v182(constB183) <=> v180(constB182)))),
% 7.88/6.08 inference(quant_inst,[status(thm)],[])).
% 7.88/6.08 tff(39855,plain,
% 7.88/6.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v182(VarNext) <=> v180(VarCurr)))) | (~nextState(constB182, constB183)) | (v182(constB183) <=> v180(constB182))),
% 7.88/6.08 inference(modus_ponens,[status(thm)],[39854, 39853])).
% 7.88/6.08 tff(39856,plain,
% 7.88/6.08 (v182(constB183) <=> v180(constB182)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39855, 16856, 15125])).
% 7.88/6.08 tff(39857,plain,
% 7.88/6.08 ((~![VarCurr: state_type] : (v180(VarCurr) <=> (~((~v183(VarCurr)) | (~v184(VarCurr)))))) | (v180(constB182) <=> (~((~v183(constB182)) | (~v184(constB182)))))),
% 7.88/6.08 inference(quant_inst,[status(thm)],[])).
% 7.88/6.08 tff(39858,plain,
% 7.88/6.08 (v180(constB182) <=> (~((~v183(constB182)) | (~v184(constB182))))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39857, 15139])).
% 7.88/6.08 tff(39859,plain,
% 7.88/6.08 ((~![VarCurr: state_type] : (v184(VarCurr) <=> (~((~v185(VarCurr)) | (~v161(VarCurr)))))) | (v184(constB182) <=> (~((~v185(constB182)) | (~v161(constB182)))))),
% 7.88/6.08 inference(quant_inst,[status(thm)],[])).
% 7.88/6.08 tff(39860,plain,
% 7.88/6.08 (v184(constB182) <=> (~((~v185(constB182)) | (~v161(constB182))))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39859, 15151])).
% 7.88/6.08 tff(39861,plain,
% 7.88/6.08 ((~![VarCurr: state_type] : (v185(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v185(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))),
% 7.88/6.08 inference(quant_inst,[status(thm)],[])).
% 7.88/6.08 tff(39862,plain,
% 7.88/6.08 (v185(constB182) <=> (~((~v39(constB182)) | (~v9(constB182))))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39861, 93])).
% 7.88/6.08 tff(39863,plain,
% 7.88/6.08 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB182)) <=> v1(constB182))),
% 7.88/6.08 inference(quant_inst,[status(thm)],[])).
% 7.88/6.08 tff(39864,plain,
% 7.88/6.08 ((~v39(constB182)) <=> v1(constB182)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39863, 102])).
% 7.88/6.08 tff(39865,plain,
% 7.88/6.08 ((~((~v39(constB182)) <=> v1(constB182))) | (~v39(constB182)) | (~v1(constB182))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39866,plain,
% 7.88/6.08 ((~((~v39(constB182)) <=> v1(constB182))) | (~v39(constB182))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39865, 22778])).
% 7.88/6.08 tff(39867,plain,
% 7.88/6.08 (~v39(constB182)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39866, 39864])).
% 7.88/6.08 tff(39868,plain,
% 7.88/6.08 (((~v39(constB182)) | (~v9(constB182))) | v39(constB182)),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39869,plain,
% 7.88/6.08 ((~v39(constB182)) | (~v9(constB182))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39868, 39867])).
% 7.88/6.08 tff(39870,plain,
% 7.88/6.08 ((~(v185(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))) | (~v185(constB182)) | (~((~v39(constB182)) | (~v9(constB182))))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39871,plain,
% 7.88/6.08 ((~(v185(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))) | (~v185(constB182))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39870, 39869])).
% 7.88/6.08 tff(39872,plain,
% 7.88/6.08 (~v185(constB182)),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39871, 39862])).
% 7.88/6.08 tff(39873,plain,
% 7.88/6.08 (((~v185(constB182)) | (~v161(constB182))) | v185(constB182)),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39874,plain,
% 7.88/6.08 ((~v185(constB182)) | (~v161(constB182))),
% 7.88/6.08 inference(unit_resolution,[status(thm)],[39873, 39872])).
% 7.88/6.08 tff(39875,plain,
% 7.88/6.08 ((~(v184(constB182) <=> (~((~v185(constB182)) | (~v161(constB182)))))) | (~v184(constB182)) | (~((~v185(constB182)) | (~v161(constB182))))),
% 7.88/6.08 inference(tautology,[status(thm)],[])).
% 7.88/6.08 tff(39876,plain,
% 7.88/6.08 ((~(v184(constB182) <